problem stringlengths 126 133 | expanded_form stringlengths 17 53 | answer stringclasses 476
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Expand the following expression: (x - 2)(x + 1)(x + 5)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 3*x**3 - 11*x**2 - 3*x + 10 | 0 |
Expand the following expression: (x + 5)(x - 2)(x + 4)(x - 2)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 11*x**4 + 18*x**3 - 116*x**2 - 184*x + 480 | 210 |
Expand the following expression: (x - 5)(x + 3)(x - 1)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 8*x**3 + 2*x**2 + 80*x - 75 | 0 |
Expand the following expression: (x + 2)(x + 6)(x + 4)(x + 2)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 13*x**4 + 54*x**3 + 68*x**2 - 40*x - 96 | 0 |
Expand the following expression: (x + 2)(x + 6)(x - 1)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 6*x**3 - 3*x**2 - 16*x + 12 | 0 |
Expand the following expression: (x - 3)(x + 1)(x - 5)(x + 2)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 6*x**4 - 2*x**3 + 36*x**2 + x - 30 | 0 |
Expand the following expression: (x - 2)(x + 1)(x + 2)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**4 + 6*x**3 + x**2 - 24*x - 20 | -36 |
Expand the following expression: (x - 3)(x - 2)(x + 1)(x + 5)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 2*x**4 - 22*x**3 + 68*x**2 - 3*x - 90 | -48 |
Expand the following expression: (x - 2)(x + 4)(x - 4)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 8*x**3 - 4*x**2 + 128*x - 192 | -75 |
Expand the following expression: (x + 3)(x + 1)(x - 2)(x + 2)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + x**4 - 13*x**3 - 13*x**2 + 36*x + 36 | 48 |
Expand the following expression: (x + 5)(x - 1)(x - 3)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 3*x**3 - 15*x**2 - 19*x + 30 | 0 |
Expand the following expression: (x + 3)(x + 1)(x - 6)(x - 6)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 5*x**4 - 33*x**3 + 81*x**2 + 432*x + 324 | 800 |
Expand the following expression: (x + 3)(x + 2)(x - 6)(x + 5)
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 + 6)(x + 1)(x - 1)(x - 5)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 4*x**4 - 36*x**3 + 154*x**2 + 35*x - 150 | 0 |
Expand the following expression: (x + 2)(x + 2)(x + 5)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + 15*x**3 + 78*x**2 + 164*x + 120 | 378 |
Expand the following expression: (x + 3)(x - 5)(x - 3)(x + 1)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + x**4 - 34*x**3 - 34*x**2 + 225*x + 225 | 384 |
Expand the following expression: (x + 2)(x - 4)(x - 6)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 6*x**3 - 12*x**2 + 56*x + 96 | 135 |
Expand the following expression: (x - 6)(x - 1)(x - 4)(x + 2)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 5*x**4 - 24*x**3 + 92*x**2 + 128*x - 192 | 0 |
Expand the following expression: (x + 3)(x - 6)(x + 2)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 7*x**3 - 18*x**2 + 108*x + 216 | 300 |
Expand the following expression: (x - 4)(x + 2)(x - 6)(x - 5)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 16*x**4 + 83*x**3 - 104*x**2 - 324*x + 720 | 360 |
Expand the following expression: (x - 3)(x + 3)(x + 3)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + x**3 - 15*x**2 - 9*x + 54 | 32 |
Expand the following expression: (x + 6)(x + 3)(x - 3)(x - 5)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 7*x**4 - 33*x**3 - 243*x**2 + 216*x + 1620 | 1568 |
Expand the following expression: (x - 4)(x + 1)(x - 1)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - x**3 - 13*x**2 + x + 12 | 0 |
Expand the following expression: (x - 5)(x - 4)(x + 2)(x - 1)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 14*x**4 + 57*x**3 - 16*x**2 - 268*x + 240 | 0 |
Expand the following expression: (x + 5)(x + 3)(x + 3)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 + 7*x**3 - 5*x**2 - 111*x - 180 | -288 |
Expand the following expression: (x + 2)(x - 3)(x + 5)(x + 1)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 32*x**3 - 6*x**2 + 175*x + 150 | 288 |
Expand the following expression: (x - 6)(x + 4)(x - 3)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 8*x**3 - 3*x**2 + 126*x - 216 | -100 |
Expand the following expression: (x - 5)(x + 2)(x - 5)(x + 3)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 2*x**4 - 34*x**3 + 8*x**2 + 345*x + 450 | 768 |
Expand the following expression: (x + 6)(x - 2)(x - 1)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 2*x**3 - 31*x**2 + 92*x - 60 | 0 |
Expand the following expression: (x - 3)(x - 4)(x - 1)(x + 3)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + x**4 - 35*x**3 + 15*x**2 + 234*x - 216 | 0 |
Expand the following expression: (x + 6)(x + 6)(x - 1)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 9*x**3 + 2*x**2 - 84*x + 72 | 0 |
Expand the following expression: (x - 4)(x + 4)(x + 6)(x - 4)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + x**4 - 42*x**3 + 8*x**2 + 416*x - 384 | 0 |
Expand the following expression: (x + 4)(x - 6)(x - 6)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 14*x**3 + 36*x**2 + 216*x - 864 | -625 |
Expand the following expression: (x + 3)(x + 5)(x - 4)(x + 3)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 4*x**4 - 26*x**3 - 96*x**2 + 153*x + 540 | 576 |
Expand the following expression: (x - 5)(x + 1)(x + 2)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 4*x**3 - 9*x**2 + 16*x + 20 | 24 |
Expand the following expression: (x + 1)(x - 6)(x - 4)(x - 6)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 11*x**4 + 8*x**3 + 212*x**2 - 384*x - 576 | -750 |
Expand the following expression: (x - 4)(x + 4)(x - 3)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - x**3 - 22*x**2 + 16*x + 96 | 90 |
Expand the following expression: (x + 3)(x + 5)(x - 2)(x - 3)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 6*x**4 - 10*x**3 - 84*x**2 + 9*x + 270 | 192 |
Expand the following expression: (x - 4)(x - 6)(x - 2)(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 + 3)(x + 2)(x + 1)(x + 2)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 5*x**4 - x**3 - 41*x**2 - 72*x - 36 | -144 |
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 + 7*x**3 - 13*x**2 - 175*x - 300 | -480 |
Expand the following expression: (x - 3)(x + 2)(x + 5)(x + 3)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + x**4 - 41*x**3 - 69*x**2 + 288*x + 540 | 720 |
Expand the following expression: (x - 6)(x + 4)(x + 3)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 31*x**2 - 42*x + 72 | 0 |
Expand the following expression: (x + 1)(x - 3)(x - 5)(x - 1)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 13*x**4 + 54*x**3 - 62*x**2 - 55*x + 75 | 0 |
Expand the following expression: (x - 2)(x - 2)(x + 6)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 4*x**3 - 16*x**2 - 16*x + 48 | 21 |
Expand the following expression: (x - 5)(x - 6)(x + 4)(x + 2)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 11*x**4 + 2*x**3 + 260*x**2 - 312*x - 1440 | -1500 |
Expand the following expression: (x + 3)(x + 5)(x - 1)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**4 + 11*x**3 + 35*x**2 + 13*x - 60 | 0 |
Expand the following expression: (x + 3)(x - 3)(x - 2)(x + 6)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 10*x**4 + 3*x**3 - 162*x**2 - 108*x + 648 | 392 |
Expand the following expression: (x + 6)(x + 2)(x + 2)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 7*x**3 - 2*x**2 - 60*x - 72 | -126 |
Expand the following expression: (x + 4)(x + 3)(x + 6)(x + 1)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 17*x**4 + 109*x**3 + 327*x**2 + 450*x + 216 | 1120 |
Expand the following expression: (x + 6)(x + 3)(x + 6)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 16*x**3 + 87*x**2 + 180*x + 108 | 392 |
Expand the following expression: (x - 4)(x + 2)(x - 4)(x - 5)(x + 6)
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 + 2)(x + 6)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 7*x**3 + 2*x**2 - 28*x - 24 | -42 |
Expand the following expression: (x + 1)(x + 1)(x + 4)(x + 5)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 8*x**4 + 6*x**3 - 68*x**2 - 127*x - 60 | -240 |
Expand the following expression: (x + 3)(x - 3)(x - 3)(x - 1)
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 - 4)(x - 1)(x - 2)(x + 1)(x + 3)
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 + 2)(x - 2)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + 9*x**3 + 14*x**2 - 36*x - 72 | -84 |
Expand the following expression: (x + 6)(x - 5)(x + 6)(x + 5)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 17*x**4 + 71*x**3 - 245*x**2 - 2400*x - 4500 | -7056 |
Expand the following expression: (x + 1)(x + 2)(x - 1)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 5*x**3 + 5*x**2 - 5*x - 6 | 0 |
Expand the following expression: (x - 2)(x - 2)(x + 5)(x - 6)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 11*x**4 + 8*x**3 + 248*x**2 - 816*x + 720 | 150 |
Expand the following expression: (x + 5)(x + 3)(x - 4)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 6*x**3 - 9*x**2 - 94*x - 120 | -216 |
Expand the following expression: (x - 5)(x - 2)(x + 4)(x + 4)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 5*x**4 - 36*x**3 + 148*x**2 + 352*x - 960 | -500 |
Expand the following expression: (x + 4)(x + 2)(x - 3)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - x**3 - 22*x**2 + 16*x + 96 | 90 |
Expand the following expression: (x - 3)(x - 3)(x + 4)(x + 6)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 6*x**4 - 19*x**3 - 108*x**2 + 108*x + 432 | 420 |
Expand the following expression: (x + 5)(x - 2)(x + 5)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 + 3*x**3 - 35*x**2 - 75*x + 250 | 144 |
Expand the following expression: (x - 5)(x - 5)(x + 5)(x - 5)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 16*x**4 + 60*x**3 + 250*x**2 - 2125*x + 3750 | 1920 |
Expand the following expression: (x + 6)(x + 1)(x - 5)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 33*x**2 + 28*x + 60 | 56 |
Expand the following expression: (x - 4)(x + 2)(x - 6)(x - 6)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 20*x**4 + 136*x**3 - 288*x**2 - 432*x + 1728 | 1125 |
Expand the following expression: (x + 1)(x + 1)(x - 2)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**4 + 5*x**3 - 3*x**2 - 17*x - 10 | -24 |
Expand the following expression: (x + 4)(x + 6)(x - 4)(x - 2)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 8*x**4 - 12*x**3 - 176*x**2 - 64*x + 768 | 525 |
Expand the following expression: (x - 2)(x - 1)(x - 1)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - 8*x**3 + 21*x**2 - 22*x + 8 | 0 |
Expand the following expression: (x + 3)(x + 4)(x - 6)(x + 5)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 61*x**3 - 72*x**2 + 972*x + 2160 | 3000 |
Expand the following expression: (x - 6)(x + 5)(x - 4)(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 | 180 |
Expand the following expression: (x + 6)(x - 2)(x + 6)(x - 3)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 4*x**4 - 39*x**3 - 54*x**2 + 540*x - 648 | -196 |
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 + 2*x**3 - 8*x**2 - 18*x - 9 | -32 |
Expand the following expression: (x + 4)(x - 3)(x + 1)(x + 6)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 4*x**4 - 31*x**3 - 82*x**2 + 240*x + 288 | 420 |
Expand the following expression: (x + 5)(x - 4)(x + 3)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 3*x**3 - 21*x**2 - 43*x + 60 | 0 |
Expand the following expression: (x - 1)(x + 2)(x - 1)(x - 3)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 2*x**4 - 18*x**3 - 4*x**2 + 49*x - 30 | 0 |
Expand the following expression: (x + 2)(x - 3)(x - 2)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 4*x**3 - x**2 + 16*x - 12 | 0 |
Expand the following expression: (x + 1)(x + 1)(x + 2)(x + 4)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 3*x**4 - 19*x**3 - 83*x**2 - 102*x - 40 | -240 |
Expand the following expression: (x - 1)(x - 1)(x - 1)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**4 + 2*x**3 - 12*x**2 + 14*x - 5 | 0 |
Expand the following expression: (x - 6)(x - 6)(x + 3)(x + 4)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 7*x**4 - 26*x**3 + 180*x**2 + 216*x - 864 | -500 |
Expand the following expression: (x + 1)(x - 2)(x + 1)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 3*x**3 - 3*x**2 - 11*x - 6 | -16 |
Expand the following expression: (x + 3)(x + 2)(x + 5)(x - 1)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 3*x**4 - 33*x**3 - 127*x**2 - 24*x + 180 | 0 |
Expand the following expression: (x + 3)(x + 4)(x - 3)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 6*x**3 - x**2 - 54*x - 72 | -120 |
Expand the following expression: (x - 5)(x + 3)(x + 3)(x - 4)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 4*x**4 - 22*x**3 + 64*x**2 + 141*x - 180 | 0 |
Expand the following expression: (x - 1)(x - 6)(x - 3)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - 14*x**3 + 67*x**2 - 126*x + 72 | 0 |
Expand the following expression: (x + 2)(x - 4)(x + 4)(x - 2)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 3*x**4 - 20*x**3 + 60*x**2 + 64*x - 192 | -90 |
Expand the following expression: (x + 2)(x - 5)(x - 1)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - x**3 - 19*x**2 - 11*x + 30 | 0 |
Expand the following expression: (x + 4)(x - 6)(x - 4)(x + 6)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 2*x**4 - 52*x**3 - 104*x**2 + 576*x + 1152 | 1575 |
Expand the following expression: (x - 4)(x + 5)(x - 1)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - 4*x**3 - 21*x**2 + 104*x - 80 | 0 |
Expand the following expression: (x + 3)(x + 4)(x + 5)(x + 5)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 18*x**4 + 124*x**3 + 402*x**2 + 595*x + 300 | 1440 |
Expand the following expression: (x + 2)(x + 3)(x + 3)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 6*x**3 + 5*x**2 - 24*x - 36 | -48 |
Expand the following expression: (x + 1)(x + 2)(x + 2)(x - 4)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 13*x**3 - 16*x**2 + 12*x + 16 | 0 |
Expand the following expression: (x + 6)(x - 4)(x + 2)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**4 + 9*x**3 - 148*x - 240 | -378 |
Expand the following expression: (x + 6)(x + 5)(x + 3)(x - 2)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 9*x**4 - x**3 - 141*x**2 - 72*x + 540 | 336 |
Expand the following expression: (x + 5)(x + 4)(x + 2)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + 17*x**3 + 104*x**2 + 268*x + 240 | 630 |
Expand the following expression: (x + 1)(x - 6)(x - 3)(x - 3)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 14*x**4 + 66*x**3 - 108*x**2 - 27*x + 162 | 80 |
Expand the following expression: (x - 3)(x - 4)(x + 3)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 10*x**3 + 15*x**2 + 90*x - 216 | -120 |
Expand the following expression: (x - 6)(x + 3)(x - 4)(x - 6)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 7*x**4 - 42*x**3 + 324*x**2 + 216*x - 2592 | -2100 |
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