problem stringlengths 126 133 | expanded_form stringlengths 17 53 | answer stringclasses 476
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Expand the following expression: (x + 6)(x + 3)(x - 4)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 43*x**2 + 18*x + 360 | 336 |
Expand the following expression: (x + 4)(x - 1)(x - 4)(x + 2)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - x**4 - 20*x**3 + 20*x**2 + 64*x - 64 | 0 |
Expand the following expression: (x + 5)(x + 5)(x + 5)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 18*x**3 + 120*x**2 + 350*x + 375 | 864 |
Expand the following expression: (x - 1)(x - 2)(x - 6)(x + 1)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 11*x**4 + 35*x**3 - 25*x**2 - 36*x + 36 | 0 |
Expand the following expression: (x - 5)(x + 1)(x - 6)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 16*x**3 + 79*x**2 - 84*x - 180 | -200 |
Expand the following expression: (x - 2)(x - 6)(x + 6)(x - 2)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 7*x**4 - 20*x**3 + 240*x**2 - 576*x + 432 | 70 |
Expand the following expression: (x - 2)(x - 5)(x + 3)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 5*x**3 - 7*x**2 + 41*x - 30 | 0 |
Expand the following expression: (x - 4)(x + 6)(x + 2)(x + 2)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 8*x**4 - 112*x**2 - 272*x - 192 | -567 |
Expand the following expression: (x + 4)(x + 3)(x + 6)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 16*x**3 + 93*x**2 + 234*x + 216 | 560 |
Expand the following expression: (x + 4)(x - 2)(x + 6)(x + 2)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 4*x**4 - 40*x**3 - 160*x**2 + 144*x + 576 | 525 |
Expand the following expression: (x - 6)(x + 6)(x - 6)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 11*x**3 - 6*x**2 + 396*x - 1080 | -700 |
Expand the following expression: (x + 3)(x - 4)(x + 5)(x + 5)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 11*x**4 + 21*x**3 - 139*x**2 - 590*x - 600 | -1296 |
Expand the following expression: (x - 4)(x - 6)(x + 6)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - 8*x**3 - 20*x**2 + 288*x - 576 | -315 |
Expand the following expression: (x - 5)(x + 5)(x + 2)(x - 3)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 3*x**4 - 35*x**3 - 99*x**2 + 250*x + 600 | 720 |
Expand the following expression: (x - 6)(x - 6)(x - 2)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 19*x**3 + 130*x**2 - 372*x + 360 | 100 |
Expand the following expression: (x - 6)(x - 1)(x + 5)(x + 1)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + x**4 - 33*x**3 - 61*x**2 + 32*x + 60 | 0 |
Expand the following expression: (x + 2)(x - 5)(x + 1)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**4 + 3*x**3 - 23*x**2 - 75*x - 50 | -144 |
Expand the following expression: (x + 6)(x - 2)(x + 1)(x - 4)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - x**4 - 30*x**3 + 76*x**2 + 8*x - 96 | -42 |
Expand the following expression: (x + 4)(x - 5)(x + 5)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 2*x**3 - 49*x**2 + 50*x + 600 | 600 |
Expand the following expression: (x - 4)(x - 4)(x - 1)(x - 4)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 10*x**4 + 21*x**3 + 68*x**2 - 272*x + 192 | 0 |
Expand the following expression: (x - 2)(x - 2)(x + 6)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 3*x**3 - 30*x**2 + 124*x - 120 | -28 |
Expand the following expression: (x + 4)(x + 5)(x + 1)(x + 6)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 17*x**4 + 105*x**3 + 283*x**2 + 314*x + 120 | 840 |
Expand the following expression: (x + 6)(x - 6)(x - 6)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 12*x**3 + 432*x - 1296 | -875 |
Expand the following expression: (x + 5)(x - 2)(x + 5)(x + 5)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 8*x**4 - 20*x**3 - 250*x**2 - 125*x + 1250 | 864 |
Expand the following expression: (x + 3)(x - 1)(x + 6)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**4 + 13*x**3 + 49*x**2 + 27*x - 90 | 0 |
Expand the following expression: (x + 6)(x - 1)(x + 5)(x - 4)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 2*x**4 - 45*x**3 - 22*x**2 + 544*x - 480 | 0 |
Expand the following expression: (x - 2)(x - 3)(x + 1)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - x**3 - 11*x**2 + 9*x + 18 | 16 |
Expand the following expression: (x - 6)(x - 1)(x + 2)(x + 5)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 6*x**4 - 33*x**3 + 170*x**2 + 228*x - 360 | 0 |
Expand the following expression: (x + 4)(x + 4)(x + 5)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 16*x**3 + 95*x**2 + 248*x + 240 | 600 |
Expand the following expression: (x + 3)(x - 3)(x - 6)(x - 5)(x + 2)
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 | -480 |
Expand the following expression: (x - 3)(x + 6)(x - 5)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - x**3 - 35*x**2 + 57*x + 90 | 112 |
Expand the following expression: (x + 1)(x + 5)(x + 4)(x - 3)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 2*x**4 - 36*x**3 - 62*x**2 + 275*x + 300 | 480 |
Expand the following expression: (x - 4)(x - 5)(x + 1)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 11*x**3 + 35*x**2 - 13*x - 60 | -48 |
Expand the following expression: (x - 3)(x - 4)(x - 1)(x - 4)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 6*x**4 - 21*x**3 + 218*x**2 - 480*x + 288 | 0 |
Expand the following expression: (x - 4)(x + 1)(x - 1)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - 8*x**3 + 15*x**2 + 8*x - 16 | 0 |
Expand the following expression: (x - 5)(x - 6)(x + 1)(x + 5)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - x**4 - 51*x**3 + x**2 + 650*x + 600 | 1200 |
Expand the following expression: (x - 5)(x - 5)(x + 1)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 6*x**3 - 12*x**2 + 70*x + 75 | 128 |
Expand the following expression: (x - 4)(x - 5)(x + 1)(x - 1)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 7*x**4 + x**3 + 47*x**2 - 2*x - 40 | 0 |
Expand the following expression: (x - 2)(x + 2)(x - 2)(x + 6)
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 + 2)(x - 4)(x - 4)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 7*x**4 - 14*x**3 + 152*x**2 - 32*x - 640 | -540 |
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 + 12*x**3 + 39*x**2 + 8*x - 60 | 0 |
Expand the following expression: (x + 4)(x + 4)(x - 1)(x - 4)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 29*x**3 + 12*x**2 + 208*x - 192 | 0 |
Expand the following expression: (x - 6)(x - 3)(x - 2)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 10*x**3 + 25*x**2 - 36 | -20 |
Expand the following expression: (x + 6)(x + 3)(x - 3)(x - 3)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 8*x**4 - 12*x**3 - 162*x**2 + 27*x + 810 | 672 |
Expand the following expression: (x + 6)(x + 1)(x - 6)(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 + 3)(x + 3)(x + 1)(x + 5)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 18*x**4 + 122*x**3 + 384*x**2 + 549*x + 270 | 1344 |
Expand the following expression: (x + 3)(x - 6)(x - 4)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - x**3 - 48*x**2 + 36*x + 432 | 420 |
Expand the following expression: (x + 4)(x + 2)(x + 3)(x + 6)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 10*x**4 + 5*x**3 - 220*x**2 - 756*x - 720 | -1680 |
Expand the following expression: (x - 3)(x + 1)(x - 3)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - 9*x**3 + 23*x**2 - 3*x - 36 | -24 |
Expand the following expression: (x + 2)(x - 4)(x - 1)(x + 1)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 3*x**4 - 19*x**3 - 43*x**2 + 18*x + 40 | 0 |
Expand the following expression: (x - 2)(x - 1)(x - 3)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 7*x**3 + 17*x**2 - 17*x + 6 | 0 |
Expand the following expression: (x + 2)(x + 6)(x - 3)(x + 3)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 3*x**4 - 37*x**3 - 87*x**2 + 252*x + 540 | 672 |
Expand the following expression: (x - 3)(x - 6)(x - 3)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 15*x**3 + 81*x**2 - 189*x + 162 | 40 |
Expand the following expression: (x + 1)(x + 2)(x + 3)(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 + 6)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - x**3 - 35*x**2 + 57*x + 90 | 112 |
Expand the following expression: (x - 2)(x - 6)(x - 4)(x - 2)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 12*x**4 + 40*x**3 - 176*x + 192 | 45 |
Expand the following expression: (x - 2)(x + 6)(x - 6)(x - 2)
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 + 1)(x - 6)(x - 6)(x + 5)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 4*x**4 - 43*x**3 + 94*x**2 + 492*x + 360 | 900 |
Expand the following expression: (x - 2)(x - 6)(x - 3)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 14*x**3 + 69*x**2 - 144*x + 108 | 20 |
Expand the following expression: (x - 3)(x + 5)(x + 4)(x - 1)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 10*x**4 + 12*x**3 - 118*x**2 - 205*x + 300 | 0 |
Expand the following expression: (x + 2)(x + 5)(x + 4)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 10*x**3 + 27*x**2 + 2*x - 40 | 0 |
Expand the following expression: (x + 3)(x + 4)(x - 6)(x - 5)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 9*x**4 - 15*x**3 + 253*x**2 - 30*x - 1800 | -1600 |
Expand the following expression: (x + 2)(x - 6)(x + 5)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + 7*x**3 - 26*x**2 - 252*x - 360 | -630 |
Expand the following expression: (x - 2)(x - 2)(x + 5)(x + 6)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 5*x**4 - 24*x**3 - 56*x**2 + 272*x - 240 | -42 |
Expand the following expression: (x - 1)(x - 2)(x + 6)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 25*x**2 + 60*x - 36 | 0 |
Expand the following expression: (x + 6)(x - 5)(x + 5)(x + 4)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 16*x**4 + 59*x**3 - 256*x**2 - 2100*x - 3600 | -5880 |
Expand the following expression: (x - 5)(x - 1)(x + 5)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + x**3 - 27*x**2 - 25*x + 50 | 0 |
Expand the following expression: (x + 2)(x + 4)(x - 3)(x - 3)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 6*x**4 - 19*x**3 + 120*x**2 + 36*x - 432 | -300 |
Expand the following expression: (x - 5)(x + 2)(x - 6)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 15*x**3 + 62*x**2 + 12*x - 360 | -300 |
Expand the following expression: (x - 1)(x + 5)(x + 4)(x + 1)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 6*x**4 - 8*x**3 - 66*x**2 + 7*x + 60 | 0 |
Expand the following expression: (x + 2)(x - 5)(x - 4)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 2*x**3 - 33*x**2 + 50*x + 200 | 216 |
Expand the following expression: (x + 4)(x - 4)(x + 2)(x - 6)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 9*x**4 - 8*x**3 + 204*x**2 - 128*x - 960 | -900 |
Expand the following expression: (x + 6)(x + 5)(x - 2)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + 3*x**3 - 46*x**2 - 108*x + 360 | 210 |
Expand the following expression: (x - 4)(x - 2)(x - 3)(x - 5)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 16*x**4 + 99*x**3 - 296*x**2 + 428*x - 240 | -24 |
Expand the following expression: (x - 1)(x - 1)(x - 6)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 2*x**3 - 35*x**2 + 72*x - 36 | 0 |
Expand the following expression: (x - 1)(x - 5)(x + 3)(x + 1)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 5*x**4 - 10*x**3 + 50*x**2 + 9*x - 45 | 0 |
Expand the following expression: (x + 4)(x - 3)(x + 4)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 8*x**3 + 7*x**2 - 72*x - 144 | -200 |
Expand the following expression: (x - 3)(x + 6)(x + 1)(x + 3)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 6*x**4 - 10*x**3 - 60*x**2 + 9*x + 54 | 0 |
Expand the following expression: (x - 1)(x - 6)(x - 1)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 9*x**3 + 21*x**2 - 19*x + 6 | 0 |
Expand the following expression: (x + 3)(x + 4)(x - 6)(x - 5)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - x**4 - 47*x**3 - 27*x**2 + 594*x + 1080 | 1600 |
Expand the following expression: (x + 3)(x + 3)(x - 1)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 7*x**3 + 13*x**2 - 3*x - 18 | 0 |
Expand the following expression: (x + 2)(x - 3)(x + 5)(x + 6)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 7*x**4 - 17*x**3 - 135*x**2 + 108*x + 540 | 504 |
Expand the following expression: (x - 2)(x - 3)(x + 3)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 3*x**3 - 7*x**2 + 27*x - 18 | 0 |
Expand the following expression: (x - 3)(x - 4)(x - 6)(x - 1)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 20*x**4 + 151*x**3 - 528*x**2 + 828*x - 432 | 0 |
Expand the following expression: (x + 5)(x - 2)(x - 5)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 29*x**2 + 100 | 72 |
Expand the following expression: (x + 4)(x + 6)(x + 6)(x - 3)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 12*x**4 + 23*x**3 - 144*x**2 - 324*x + 432 | 0 |
Expand the following expression: (x + 3)(x + 3)(x + 5)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 12*x**3 + 50*x**2 + 84*x + 45 | 192 |
Expand the following expression: (x - 4)(x + 2)(x - 2)(x + 5)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 25*x**3 + 20*x**2 + 84*x - 80 | 0 |
Expand the following expression: (x - 6)(x - 1)(x - 3)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 15*x**3 + 77*x**2 - 153*x + 90 | 0 |
Expand the following expression: (x + 5)(x + 3)(x - 2)(x - 4)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 29*x**3 + 24*x**2 + 172*x - 240 | -72 |
Expand the following expression: (x + 6)(x + 1)(x + 3)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 + 6*x**3 - 13*x**2 - 90*x - 72 | -168 |
Expand the following expression: (x + 5)(x + 2)(x + 5)(x - 2)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 5*x**4 - 29*x**3 - 145*x**2 + 100*x + 500 | 432 |
Expand the following expression: (x + 2)(x - 3)(x - 2)(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 | 36 |
Expand the following expression: (x - 6)(x + 1)(x - 6)(x - 3)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 20*x**4 + 141*x**3 - 378*x**2 + 108*x + 648 | 500 |
Expand the following expression: (x - 3)(x - 4)(x - 1)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 9*x**3 + 27*x**2 - 31*x + 12 | 0 |
Expand the following expression: (x + 3)(x - 1)(x + 2)(x + 6)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 16*x**4 + 85*x**3 + 150*x**2 - 36*x - 216 | 0 |
Expand the following expression: (x - 3)(x + 5)(x + 2)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 7*x**3 + x**2 - 63*x - 90 | -144 |
Expand the following expression: (x - 3)(x + 3)(x + 4)(x - 6)(x + 1)
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 | 400 |
Expand the following expression: (x + 6)(x + 2)(x - 1)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 + 3*x**3 - 24*x**2 - 28*x + 48 | 0 |
Expand the following expression: (x - 4)(x + 2)(x - 1)(x + 5)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 3*x**4 - 31*x**3 + 83*x**2 + 150*x - 200 | 0 |
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