problem
stringlengths 126
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stringlengths 17
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|---|---|---|
Expand the following expression: (x - 5)(x - 4)(x + 5)(x + 1)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 3*x**3 - 29*x**2 + 75*x + 100
|
144
|
Expand the following expression: (x + 5)(x - 1)(x + 3)(x - 3)(x + 3)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 7*x**4 - 2*x**3 - 78*x**2 - 63*x + 135
|
0
|
Expand the following expression: (x - 2)(x + 4)(x + 4)(x - 3)
Then, what is the sum of the coefficients and the constant term?
|
x**4 + 3*x**3 - 18*x**2 - 32*x + 96
|
50
|
Expand the following expression: (x + 4)(x + 1)(x - 1)(x - 3)(x + 3)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 4*x**4 - 10*x**3 - 40*x**2 + 9*x + 36
|
0
|
Expand the following expression: (x - 2)(x + 6)(x - 5)(x + 3)
Then, what is the sum of the coefficients and the constant term?
|
x**4 + 2*x**3 - 35*x**2 - 36*x + 180
|
112
|
Expand the following expression: (x + 2)(x - 6)(x - 1)(x - 1)(x - 2)
Then, what is the sum of the coefficients and the constant term?
|
x**5 - 8*x**4 + 9*x**3 + 26*x**2 - 52*x + 24
|
0
|
Expand the following expression: (x + 6)(x + 1)(x + 6)(x - 6)
Then, what is the sum of the coefficients and the constant term?
|
x**4 + 7*x**3 - 30*x**2 - 252*x - 216
|
-490
|
Expand the following expression: (x + 3)(x - 5)(x - 1)(x + 4)(x - 1)
Then, what is the sum of the coefficients and the constant term?
|
x**5 - 26*x**3 - 12*x**2 + 97*x - 60
|
0
|
Expand the following expression: (x - 3)(x + 1)(x + 3)(x - 1)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 10*x**2 + 9
|
0
|
Expand the following expression: (x + 6)(x + 4)(x - 6)(x - 2)(x - 3)
Then, what is the sum of the coefficients and the constant term?
|
x**5 - x**4 - 50*x**3 + 60*x**2 + 504*x - 864
|
-350
|
Expand the following expression: (x - 6)(x + 4)(x - 2)(x - 1)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 5*x**3 - 16*x**2 + 68*x - 48
|
0
|
Expand the following expression: (x - 5)(x - 2)(x - 1)(x - 1)(x + 3)
Then, what is the sum of the coefficients and the constant term?
|
x**5 - 6*x**4 - 2*x**3 + 48*x**2 - 71*x + 30
|
0
|
Expand the following expression: (x + 2)(x - 2)(x + 3)(x - 5)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 2*x**3 - 19*x**2 + 8*x + 60
|
48
|
Expand the following expression: (x + 3)(x + 3)(x - 3)(x - 4)(x + 1)
Then, what is the sum of the coefficients and the constant term?
|
x**5 - 22*x**3 - 12*x**2 + 117*x + 108
|
192
|
Expand the following expression: (x + 3)(x - 6)(x - 1)(x - 1)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 5*x**3 - 11*x**2 + 33*x - 18
|
0
|
Expand the following expression: (x + 2)(x + 2)(x + 1)(x + 2)(x - 3)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 4*x**4 - 3*x**3 - 34*x**2 - 52*x - 24
|
-108
|
Expand the following expression: (x - 4)(x - 2)(x - 6)(x + 3)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 9*x**3 + 8*x**2 + 84*x - 144
|
-60
|
Expand the following expression: (x + 2)(x + 5)(x - 2)(x - 4)(x - 6)
Then, what is the sum of the coefficients and the constant term?
|
x**5 - 5*x**4 - 30*x**3 + 140*x**2 + 104*x - 480
|
-270
|
Expand the following expression: (x + 2)(x - 4)(x - 6)(x - 1)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 9*x**3 + 12*x**2 + 44*x - 48
|
0
|
Expand the following expression: (x + 6)(x + 5)(x + 6)(x - 5)(x - 3)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 9*x**4 - 25*x**3 - 333*x**2 + 2700
|
2352
|
Expand the following expression: (x - 3)(x + 3)(x - 1)(x + 1)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 10*x**2 + 9
|
0
|
Expand the following expression: (x - 5)(x + 5)(x + 4)(x + 6)(x - 6)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 4*x**4 - 61*x**3 - 244*x**2 + 900*x + 3600
|
4200
|
Expand the following expression: (x - 4)(x - 4)(x - 6)(x + 1)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 13*x**3 + 50*x**2 - 32*x - 96
|
-90
|
Expand the following expression: (x + 3)(x + 3)(x - 2)(x + 3)(x - 4)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 3*x**4 - 19*x**3 - 63*x**2 + 54*x + 216
|
192
|
Expand the following expression: (x - 3)(x - 3)(x - 5)(x - 5)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 16*x**3 + 94*x**2 - 240*x + 225
|
64
|
Expand the following expression: (x - 6)(x + 1)(x + 3)(x + 3)(x + 6)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 7*x**4 - 21*x**3 - 243*x**2 - 540*x - 324
|
-1120
|
Expand the following expression: (x + 2)(x + 4)(x + 1)(x + 4)
Then, what is the sum of the coefficients and the constant term?
|
x**4 + 11*x**3 + 42*x**2 + 64*x + 32
|
150
|
Expand the following expression: (x + 6)(x + 4)(x - 5)(x - 4)(x - 3)
Then, what is the sum of the coefficients and the constant term?
|
x**5 - 2*x**4 - 49*x**3 + 122*x**2 + 528*x - 1440
|
-840
|
Expand the following expression: (x - 1)(x + 3)(x - 3)(x + 1)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 10*x**2 + 9
|
0
|
Expand the following expression: (x + 2)(x - 5)(x - 6)(x + 6)(x + 5)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 2*x**4 - 61*x**3 - 122*x**2 + 900*x + 1800
|
2520
|
Expand the following expression: (x + 4)(x + 3)(x - 2)(x - 1)
Then, what is the sum of the coefficients and the constant term?
|
x**4 + 4*x**3 - 7*x**2 - 22*x + 24
|
0
|
Expand the following expression: (x - 6)(x - 3)(x - 3)(x + 6)(x + 2)
Then, what is the sum of the coefficients and the constant term?
|
x**5 - 4*x**4 - 39*x**3 + 162*x**2 + 108*x - 648
|
-420
|
Expand the following expression: (x - 6)(x - 2)(x - 2)(x + 6)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 4*x**3 - 32*x**2 + 144*x - 144
|
-35
|
Expand the following expression: (x - 3)(x - 6)(x + 2)(x + 6)(x + 4)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 3*x**4 - 46*x**3 - 132*x**2 + 360*x + 864
|
1050
|
Expand the following expression: (x + 3)(x + 6)(x + 3)(x - 6)
Then, what is the sum of the coefficients and the constant term?
|
x**4 + 6*x**3 - 27*x**2 - 216*x - 324
|
-560
|
Expand the following expression: (x + 5)(x - 2)(x + 4)(x - 2)(x - 1)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 4*x**4 - 17*x**3 - 32*x**2 + 124*x - 80
|
0
|
Expand the following expression: (x + 5)(x - 5)(x - 2)(x + 3)
Then, what is the sum of the coefficients and the constant term?
|
x**4 + x**3 - 31*x**2 - 25*x + 150
|
96
|
Expand the following expression: (x - 4)(x + 4)(x + 5)(x - 6)(x - 1)
Then, what is the sum of the coefficients and the constant term?
|
x**5 - 2*x**4 - 45*x**3 + 62*x**2 + 464*x - 480
|
0
|
Expand the following expression: (x - 5)(x + 2)(x - 3)(x + 4)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 2*x**3 - 25*x**2 + 26*x + 120
|
120
|
Expand the following expression: (x + 5)(x + 3)(x + 6)(x - 4)(x + 5)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 15*x**4 + 57*x**3 - 127*x**2 - 1170*x - 1800
|
-3024
|
Expand the following expression: (x + 3)(x - 3)(x + 5)(x + 5)
Then, what is the sum of the coefficients and the constant term?
|
x**4 + 10*x**3 + 16*x**2 - 90*x - 225
|
-288
|
Expand the following expression: (x + 5)(x - 5)(x - 5)(x - 6)(x - 2)
Then, what is the sum of the coefficients and the constant term?
|
x**5 - 13*x**4 + 27*x**3 + 265*x**2 - 1300*x + 1500
|
480
|
Expand the following expression: (x - 5)(x - 6)(x + 2)(x + 1)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 8*x**3 - x**2 + 68*x + 60
|
120
|
Expand the following expression: (x + 5)(x + 4)(x + 3)(x - 6)(x - 4)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 2*x**4 - 49*x**3 - 122*x**2 + 528*x + 1440
|
1800
|
Expand the following expression: (x - 5)(x - 3)(x + 1)(x - 2)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 9*x**3 + 21*x**2 + x - 30
|
-16
|
Expand the following expression: (x + 5)(x + 6)(x + 3)(x + 1)(x - 1)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 14*x**4 + 62*x**3 + 76*x**2 - 63*x - 90
|
0
|
Expand the following expression: (x + 6)(x + 4)(x - 5)(x - 1)
Then, what is the sum of the coefficients and the constant term?
|
x**4 + 4*x**3 - 31*x**2 - 94*x + 120
|
0
|
Expand the following expression: (x - 3)(x - 1)(x + 1)(x - 4)(x + 5)
Then, what is the sum of the coefficients and the constant term?
|
x**5 - 2*x**4 - 24*x**3 + 62*x**2 + 23*x - 60
|
0
|
Expand the following expression: (x - 3)(x + 3)(x - 1)(x - 3)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 4*x**3 - 6*x**2 + 36*x - 27
|
0
|
Expand the following expression: (x + 6)(x - 2)(x - 6)(x - 4)(x + 6)
Then, what is the sum of the coefficients and the constant term?
|
x**5 - 64*x**3 + 48*x**2 + 1008*x - 1728
|
-735
|
Expand the following expression: (x - 6)(x + 2)(x - 4)(x - 2)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 10*x**3 + 20*x**2 + 40*x - 96
|
-45
|
Expand the following expression: (x - 5)(x - 4)(x + 6)(x + 2)(x - 4)
Then, what is the sum of the coefficients and the constant term?
|
x**5 - 5*x**4 - 36*x**3 + 212*x**2 + 32*x - 960
|
-756
|
Expand the following expression: (x + 2)(x + 3)(x - 6)(x + 6)
Then, what is the sum of the coefficients and the constant term?
|
x**4 + 5*x**3 - 30*x**2 - 180*x - 216
|
-420
|
Expand the following expression: (x + 1)(x + 1)(x + 1)(x - 2)(x + 2)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 3*x**4 - x**3 - 11*x**2 - 12*x - 4
|
-24
|
Expand the following expression: (x + 3)(x - 5)(x + 2)(x - 2)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 2*x**3 - 19*x**2 + 8*x + 60
|
48
|
Expand the following expression: (x + 3)(x - 2)(x + 6)(x - 6)(x - 5)
Then, what is the sum of the coefficients and the constant term?
|
x**5 - 4*x**4 - 47*x**3 + 174*x**2 + 396*x - 1080
|
-560
|
Expand the following expression: (x + 4)(x - 4)(x - 1)(x - 1)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 2*x**3 - 15*x**2 + 32*x - 16
|
0
|
Expand the following expression: (x + 6)(x + 2)(x - 5)(x + 5)(x + 5)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 13*x**4 + 27*x**3 - 265*x**2 - 1300*x - 1500
|
-3024
|
Expand the following expression: (x + 5)(x + 5)(x - 5)(x + 4)
Then, what is the sum of the coefficients and the constant term?
|
x**4 + 9*x**3 - 5*x**2 - 225*x - 500
|
-720
|
Expand the following expression: (x - 1)(x + 4)(x + 3)(x - 5)(x + 4)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 5*x**4 - 21*x**3 - 137*x**2 - 88*x + 240
|
0
|
Expand the following expression: (x + 6)(x - 6)(x - 6)(x + 2)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 4*x**3 - 48*x**2 + 144*x + 432
|
525
|
Expand the following expression: (x - 2)(x + 2)(x + 5)(x + 5)(x - 2)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 8*x**4 + x**3 - 82*x**2 - 20*x + 200
|
108
|
Expand the following expression: (x + 5)(x - 6)(x + 2)(x + 4)
Then, what is the sum of the coefficients and the constant term?
|
x**4 + 5*x**3 - 28*x**2 - 188*x - 240
|
-450
|
Expand the following expression: (x + 3)(x - 3)(x - 5)(x - 6)(x - 2)
Then, what is the sum of the coefficients and the constant term?
|
x**5 - 13*x**4 + 43*x**3 + 57*x**2 - 468*x + 540
|
160
|
Expand the following expression: (x + 6)(x - 1)(x - 5)(x + 4)
Then, what is the sum of the coefficients and the constant term?
|
x**4 + 4*x**3 - 31*x**2 - 94*x + 120
|
0
|
Expand the following expression: (x - 4)(x + 1)(x - 5)(x - 4)(x + 4)
Then, what is the sum of the coefficients and the constant term?
|
x**5 - 8*x**4 - 5*x**3 + 148*x**2 - 176*x - 320
|
-360
|
Expand the following expression: (x - 1)(x + 3)(x - 2)(x + 4)
Then, what is the sum of the coefficients and the constant term?
|
x**4 + 4*x**3 - 7*x**2 - 22*x + 24
|
0
|
Expand the following expression: (x - 2)(x - 5)(x + 4)(x + 2)(x - 3)
Then, what is the sum of the coefficients and the constant term?
|
x**5 - 4*x**4 - 21*x**3 + 76*x**2 + 68*x - 240
|
-120
|
Expand the following expression: (x - 5)(x + 6)(x - 3)(x - 3)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 5*x**3 - 27*x**2 + 189*x - 270
|
-112
|
Expand the following expression: (x + 4)(x - 5)(x + 6)(x + 2)(x - 3)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 4*x**4 - 37*x**3 - 124*x**2 + 276*x + 720
|
840
|
Expand the following expression: (x - 1)(x + 1)(x - 3)(x + 1)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 2*x**3 - 4*x**2 + 2*x + 3
|
0
|
Expand the following expression: (x - 2)(x + 6)(x + 3)(x - 6)(x + 3)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 4*x**4 - 39*x**3 - 162*x**2 + 108*x + 648
|
560
|
Expand the following expression: (x + 4)(x + 1)(x + 3)(x - 4)
Then, what is the sum of the coefficients and the constant term?
|
x**4 + 4*x**3 - 13*x**2 - 64*x - 48
|
-120
|
Expand the following expression: (x + 6)(x + 4)(x - 5)(x - 6)(x + 5)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 4*x**4 - 61*x**3 - 244*x**2 + 900*x + 3600
|
4200
|
Expand the following expression: (x - 6)(x + 5)(x - 5)(x - 3)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 9*x**3 - 7*x**2 + 225*x - 450
|
-240
|
Expand the following expression: (x + 2)(x + 2)(x - 2)(x - 5)(x - 6)
Then, what is the sum of the coefficients and the constant term?
|
x**5 - 9*x**4 + 4*x**3 + 96*x**2 - 32*x - 240
|
-180
|
Expand the following expression: (x + 2)(x + 3)(x - 3)(x + 3)
Then, what is the sum of the coefficients and the constant term?
|
x**4 + 5*x**3 - 3*x**2 - 45*x - 54
|
-96
|
Expand the following expression: (x - 3)(x + 3)(x + 2)(x + 1)(x + 6)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 9*x**4 + 11*x**3 - 69*x**2 - 180*x - 108
|
-336
|
Expand the following expression: (x + 6)(x - 3)(x + 3)(x + 3)
Then, what is the sum of the coefficients and the constant term?
|
x**4 + 9*x**3 + 9*x**2 - 81*x - 162
|
-224
|
Expand the following expression: (x + 2)(x - 2)(x - 5)(x + 6)(x + 5)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 6*x**4 - 29*x**3 - 174*x**2 + 100*x + 600
|
504
|
Expand the following expression: (x - 3)(x - 5)(x + 5)(x + 3)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 34*x**2 + 225
|
192
|
Expand the following expression: (x + 5)(x + 6)(x + 2)(x - 6)(x + 3)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 10*x**4 - 5*x**3 - 330*x**2 - 1116*x - 1080
|
-2520
|
Expand the following expression: (x - 6)(x + 6)(x + 1)(x - 4)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 3*x**3 - 40*x**2 + 108*x + 144
|
210
|
Expand the following expression: (x + 4)(x + 2)(x + 4)(x - 6)(x + 1)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 5*x**4 - 24*x**3 - 188*x**2 - 352*x - 192
|
-750
|
Expand the following expression: (x + 5)(x + 2)(x + 4)(x + 2)
Then, what is the sum of the coefficients and the constant term?
|
x**4 + 13*x**3 + 60*x**2 + 116*x + 80
|
270
|
Expand the following expression: (x - 6)(x + 4)(x + 1)(x + 2)(x + 6)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 7*x**4 - 22*x**3 - 244*x**2 - 504*x - 288
|
-1050
|
Expand the following expression: (x - 4)(x + 4)(x + 4)(x - 4)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 32*x**2 + 256
|
225
|
Expand the following expression: (x - 4)(x + 5)(x + 4)(x + 1)(x - 3)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 3*x**4 - 29*x**3 - 63*x**2 + 208*x + 240
|
360
|
Expand the following expression: (x + 6)(x - 3)(x - 1)(x + 4)
Then, what is the sum of the coefficients and the constant term?
|
x**4 + 6*x**3 - 13*x**2 - 66*x + 72
|
0
|
Expand the following expression: (x + 4)(x - 3)(x - 6)(x + 4)(x + 2)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + x**4 - 40*x**3 - 76*x**2 + 288*x + 576
|
750
|
Expand the following expression: (x + 3)(x - 1)(x - 4)(x - 1)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 3*x**3 - 9*x**2 + 23*x - 12
|
0
|
Expand the following expression: (x + 2)(x - 1)(x + 2)(x - 1)(x - 5)
Then, what is the sum of the coefficients and the constant term?
|
x**5 - 3*x**4 - 13*x**3 + 11*x**2 + 24*x - 20
|
0
|
Expand the following expression: (x - 5)(x - 4)(x - 6)(x - 4)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 19*x**3 + 134*x**2 - 416*x + 480
|
180
|
Expand the following expression: (x + 5)(x + 6)(x + 2)(x + 6)(x - 2)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 17*x**4 + 92*x**3 + 112*x**2 - 384*x - 720
|
-882
|
Expand the following expression: (x - 4)(x - 4)(x - 5)(x + 1)
Then, what is the sum of the coefficients and the constant term?
|
x**4 - 12*x**3 + 43*x**2 - 24*x - 80
|
-72
|
Expand the following expression: (x + 3)(x - 4)(x + 5)(x + 6)(x + 4)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 14*x**4 + 47*x**3 - 134*x**2 - 1008*x - 1440
|
-2520
|
Expand the following expression: (x + 3)(x + 5)(x + 5)(x + 4)
Then, what is the sum of the coefficients and the constant term?
|
x**4 + 17*x**3 + 107*x**2 + 295*x + 300
|
720
|
Expand the following expression: (x - 1)(x + 2)(x + 4)(x - 3)(x + 1)
Then, what is the sum of the coefficients and the constant term?
|
x**5 + 3*x**4 - 11*x**3 - 27*x**2 + 10*x + 24
|
0
|
Expand the following expression: (x + 3)(x + 5)(x - 6)(x + 2)
Then, what is the sum of the coefficients and the constant term?
|
x**4 + 4*x**3 - 29*x**2 - 156*x - 180
|
-360
|
Expand the following expression: (x + 1)(x - 1)(x + 1)(x - 6)(x - 4)
Then, what is the sum of the coefficients and the constant term?
|
x**5 - 9*x**4 + 13*x**3 + 33*x**2 - 14*x - 24
|
0
|
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