problem stringlengths 126 133 | expanded_form stringlengths 17 53 | answer stringclasses 476
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Expand the following expression: (x + 5)(x - 5)(x + 1)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 5*x**3 - 31*x**2 + 125*x + 150 | 240 |
Expand the following expression: (x - 1)(x - 2)(x + 3)(x + 3)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 7*x**4 + 5*x**3 - 43*x**2 - 42*x + 72 | 0 |
Expand the following expression: (x + 6)(x - 1)(x - 4)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + 7*x**3 - 20*x**2 - 132*x + 144 | 0 |
Expand the following expression: (x - 4)(x + 6)(x + 1)(x - 6)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 9*x**4 - 22*x**3 + 348*x**2 - 504*x - 864 | -1050 |
Expand the following expression: (x - 5)(x - 1)(x - 1)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 2*x**3 - 24*x**2 + 50*x - 25 | 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 + 12*x**4 + 23*x**3 - 144*x**2 - 324*x + 432 | 0 |
Expand the following expression: (x - 1)(x - 5)(x + 5)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 2*x**3 - 28*x**2 - 50*x + 75 | 0 |
Expand the following expression: (x - 1)(x - 5)(x + 6)(x - 2)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 5*x**4 - 25*x**3 + 185*x**2 - 336*x + 180 | 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 | 72 |
Expand the following expression: (x + 4)(x - 1)(x + 1)(x - 1)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + x**4 - 11*x**3 + 7*x**2 + 10*x - 8 | 0 |
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 - 6*x**3 - 21*x**2 + 146*x - 120 | 0 |
Expand the following expression: (x + 1)(x + 6)(x + 5)(x - 1)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 13*x**4 + 51*x**3 + 47*x**2 - 52*x - 60 | 0 |
Expand the following expression: (x - 6)(x + 5)(x - 3)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 6*x**3 - 19*x**2 + 144*x - 180 | -60 |
Expand the following expression: (x - 6)(x - 3)(x + 2)(x + 2)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + x**4 - 44*x**3 - 48*x**2 + 288*x + 432 | 630 |
Expand the following expression: (x + 4)(x - 6)(x + 5)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 43*x**2 - 18*x + 360 | 300 |
Expand the following expression: (x + 4)(x + 3)(x - 6)(x + 4)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 51*x**3 - 62*x**2 + 672*x + 1440 | 2000 |
Expand the following expression: (x + 5)(x + 6)(x - 3)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + 2*x**3 - 51*x**2 - 72*x + 540 | 420 |
Expand the following expression: (x - 2)(x + 3)(x - 3)(x + 4)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 3*x**4 - 15*x**3 - 35*x**2 + 54*x + 72 | 80 |
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 + 5*x**3 - 23*x**2 - 117*x - 90 | -224 |
Expand the following expression: (x + 3)(x - 2)(x - 3)(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 - 99*x + 54 | 0 |
Expand the following expression: (x + 2)(x - 5)(x + 5)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**4 + 7*x**3 - 15*x**2 - 175*x - 250 | -432 |
Expand the following expression: (x - 4)(x + 1)(x - 5)(x + 1)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 5*x**4 - 11*x**3 + 37*x**2 + 82*x + 40 | 144 |
Expand the following expression: (x + 3)(x + 6)(x - 3)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 5*x**3 - 15*x**2 - 45*x + 54 | 0 |
Expand the following expression: (x - 6)(x - 4)(x - 3)(x + 2)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 9*x**4 + 6*x**3 + 92*x**2 - 72*x - 288 | -270 |
Expand the following expression: (x + 1)(x + 1)(x + 3)(x - 2)
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 + 5)(x + 1)(x + 2)(x - 4)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 10*x**4 + 9*x**3 - 148*x**2 - 388*x - 240 | -756 |
Expand the following expression: (x + 1)(x + 6)(x - 4)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - x**3 - 34*x**2 + 64*x + 96 | 126 |
Expand the following expression: (x + 1)(x - 5)(x - 3)(x - 5)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 15*x**4 + 78*x**3 - 146*x**2 - 15*x + 225 | 128 |
Expand the following expression: (x + 1)(x + 5)(x + 4)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + 16*x**3 + 89*x**2 + 194*x + 120 | 420 |
Expand the following expression: (x + 3)(x + 5)(x - 1)(x + 6)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 17*x**4 + 101*x**3 + 223*x**2 + 18*x - 360 | 0 |
Expand the following expression: (x - 5)(x + 4)(x + 1)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 6*x**3 - 21*x**2 + 106*x + 120 | 200 |
Expand the following expression: (x - 2)(x + 3)(x + 5)(x + 2)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 14*x**4 + 59*x**3 + 34*x**2 - 252*x - 360 | -504 |
Expand the following expression: (x - 4)(x - 1)(x - 4)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 11*x**3 + 42*x**2 - 64*x + 32 | 0 |
Expand the following expression: (x - 1)(x + 4)(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 - 15*x**2 + 46*x - 24 | 0 |
Expand the following expression: (x + 2)(x - 5)(x + 4)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 4*x**3 - 19*x**2 - 106*x - 120 | -240 |
Expand the following expression: (x + 5)(x + 4)(x + 5)(x - 1)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 8*x**4 - 14*x**3 - 220*x**2 - 275*x + 500 | 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 + 8*x**3 + 9*x**2 - 38*x - 40 | -60 |
Expand the following expression: (x + 4)(x - 1)(x + 2)(x + 4)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 15*x**4 + 76*x**3 + 132*x**2 - 32*x - 192 | 0 |
Expand the following expression: (x - 2)(x + 2)(x - 1)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + 5*x**3 - 10*x**2 - 20*x + 24 | 0 |
Expand the following expression: (x + 6)(x - 6)(x - 4)(x + 6)(x - 2)
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 + 2)(x + 6)(x + 4)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 13*x**3 + 56*x**2 + 92*x + 48 | 210 |
Expand the following expression: (x + 3)(x - 3)(x + 4)(x - 3)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 2*x**4 - 24*x**3 + 54*x**2 + 135*x - 324 | -160 |
Expand the following expression: (x + 3)(x - 6)(x + 6)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**4 + 8*x**3 - 21*x**2 - 288*x - 540 | -840 |
Expand the following expression: (x + 3)(x + 2)(x - 2)(x - 4)(x + 4)
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 | 180 |
Expand the following expression: (x - 4)(x + 6)(x + 1)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 2*x**3 - 37*x**2 + 86*x + 120 | 168 |
Expand the following expression: (x - 5)(x + 2)(x - 2)(x - 4)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 14*x**4 + 61*x**3 - 44*x**2 - 260*x + 400 | 144 |
Expand the following expression: (x + 2)(x - 2)(x - 4)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - x**3 - 16*x**2 + 4*x + 48 | 36 |
Expand the following expression: (x - 2)(x + 4)(x + 5)(x + 2)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 14*x**4 + 61*x**3 + 44*x**2 - 260*x - 400 | -540 |
Expand the following expression: (x - 1)(x + 1)(x + 5)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 4*x**3 - 6*x**2 - 4*x + 5 | 0 |
Expand the following expression: (x - 5)(x + 5)(x - 1)(x - 2)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 6*x**4 - 14*x**3 + 144*x**2 - 275*x + 150 | 0 |
Expand the following expression: (x - 4)(x - 6)(x - 1)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 8*x**3 + x**2 + 78*x - 72 | 0 |
Expand the following expression: (x + 1)(x - 1)(x + 4)(x + 3)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 3*x**4 - 17*x**3 - 51*x**2 + 16*x + 48 | 0 |
Expand the following expression: (x - 6)(x + 6)(x + 6)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 5*x**3 - 42*x**2 - 180*x + 216 | 0 |
Expand the following expression: (x - 3)(x - 5)(x - 6)(x - 5)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 24*x**4 + 228*x**3 - 1070*x**2 + 2475*x - 2250 | -640 |
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 + 6*x**3 - 3*x**2 - 52*x - 60 | -108 |
Expand the following expression: (x - 2)(x - 5)(x - 6)(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 | 480 |
Expand the following expression: (x - 4)(x + 6)(x + 5)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**4 + 12*x**3 + 21*x**2 - 190*x - 600 | -756 |
Expand the following expression: (x - 2)(x - 5)(x + 6)(x - 2)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 7*x**4 - 18*x**3 + 244*x**2 - 616*x + 480 | 84 |
Expand the following expression: (x - 3)(x + 2)(x + 5)(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 - 2)(x + 2)(x + 4)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 12*x**4 + 43*x**3 + 12*x**2 - 188*x - 240 | -360 |
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 - 51*x**2 + 10*x + 600 | 560 |
Expand the following expression: (x + 3)(x + 6)(x + 2)(x - 3)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 4*x**4 - 29*x**3 - 84*x**2 + 180*x + 432 | 504 |
Expand the following expression: (x + 2)(x - 2)(x - 5)(x + 1)
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 - 5)(x + 1)(x + 1)(x - 3)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - x**4 - 30*x**3 + 22*x**2 + 125*x + 75 | 192 |
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 + 8*x**3 + 11*x**2 - 32*x - 60 | -72 |
Expand the following expression: (x - 6)(x - 2)(x - 1)(x - 3)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 6*x**4 - 25*x**3 + 210*x**2 - 396*x + 216 | 0 |
Expand the following expression: (x - 1)(x + 2)(x - 5)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 6*x**3 + x**2 + 24*x - 20 | 0 |
Expand the following expression: (x + 3)(x + 5)(x + 3)(x + 4)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 21*x**4 + 173*x**3 + 699*x**2 + 1386*x + 1080 | 3360 |
Expand the following expression: (x - 4)(x - 3)(x - 1)(x - 6)
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 + 6)(x + 6)(x + 3)(x + 5)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 21*x**4 + 167*x**3 + 615*x**2 + 1008*x + 540 | 2352 |
Expand the following expression: (x - 4)(x + 6)(x + 5)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 + 3*x**3 - 42*x**2 - 64*x + 480 | 378 |
Expand the following expression: (x + 1)(x + 3)(x + 1)(x + 3)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 3*x**4 - 18*x**3 - 86*x**2 - 111*x - 45 | -256 |
Expand the following expression: (x - 6)(x - 6)(x - 4)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 21*x**3 + 164*x**2 - 564*x + 720 | 300 |
Expand the following expression: (x - 3)(x + 1)(x + 2)(x + 6)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 3*x**4 - 25*x**3 - 27*x**2 + 108*x + 108 | 168 |
Expand the following expression: (x - 3)(x + 6)(x - 4)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 3*x**3 - 28*x**2 + 132*x - 144 | -42 |
Expand the following expression: (x - 6)(x + 6)(x + 5)(x + 3)(x + 2)
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 - 1)(x - 3)(x - 4)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 2*x**3 - 29*x**2 + 102*x - 72 | 0 |
Expand the following expression: (x - 1)(x + 6)(x + 3)(x - 2)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 4*x**4 - 19*x**3 - 22*x**2 + 108*x - 72 | 0 |
Expand the following expression: (x - 6)(x - 1)(x + 1)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 3*x**3 - 19*x**2 + 3*x + 18 | 0 |
Expand the following expression: (x - 1)(x - 4)(x - 6)(x - 4)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 10*x**4 + 3*x**3 + 230*x**2 - 704*x + 480 | 0 |
Expand the following expression: (x - 6)(x - 2)(x - 4)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 15*x**3 + 80*x**2 - 180*x + 144 | 30 |
Expand the following expression: (x - 3)(x + 5)(x - 5)(x + 3)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 5*x**4 - 34*x**3 - 170*x**2 + 225*x + 1125 | 1152 |
Expand the following expression: (x + 3)(x + 6)(x - 1)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 6*x**3 - 7*x**2 - 36*x + 36 | 0 |
Expand the following expression: (x + 5)(x - 4)(x + 4)(x - 4)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - x**4 - 38*x**3 + 56*x**2 + 352*x - 640 | -270 |
Expand the following expression: (x - 3)(x + 4)(x + 1)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - 2*x**3 - 19*x**2 + 32*x + 48 | 60 |
Expand the following expression: (x - 5)(x - 2)(x + 6)(x + 4)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 9*x**4 - 18*x**3 - 284*x**2 - 168*x + 1440 | 980 |
Expand the following expression: (x - 5)(x + 3)(x + 6)(x - 4)
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 - 2)(x - 5)(x + 1)(x - 5)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 9*x**4 + 11*x**3 + 61*x**2 - 60*x - 100 | -96 |
Expand the following expression: (x - 2)(x + 1)(x - 3)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 6*x**3 + 9*x**2 + 4*x - 12 | -4 |
Expand the following expression: (x + 3)(x + 2)(x + 3)(x + 3)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 16*x**4 + 100*x**3 + 306*x**2 + 459*x + 270 | 1152 |
Expand the following expression: (x + 5)(x - 2)(x + 4)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + x**3 - 40*x**2 - 52*x + 240 | 150 |
Expand the following expression: (x - 5)(x + 4)(x + 5)(x + 2)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 5*x**4 - 23*x**3 - 133*x**2 - 50*x + 200 | 0 |
Expand the following expression: (x - 3)(x + 2)(x - 4)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 7*x**3 + 8*x**2 + 28*x - 48 | -18 |
Expand the following expression: (x + 5)(x + 2)(x + 3)(x - 2)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 3*x**4 - 29*x**3 - 87*x**2 + 100*x + 300 | 288 |
Expand the following expression: (x + 2)(x - 3)(x + 4)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + 9*x**3 + 8*x**2 - 84*x - 144 | -210 |
Expand the following expression: (x + 3)(x + 4)(x + 6)(x - 4)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 10*x**4 + 11*x**3 - 142*x**2 - 432*x - 288 | -840 |
Expand the following expression: (x + 3)(x + 5)(x - 4)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + x**3 - 29*x**2 - 9*x + 180 | 144 |
Expand the following expression: (x + 4)(x - 2)(x - 5)(x + 5)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - x**4 - 39*x**3 + 49*x**2 + 350*x - 600 | -240 |
Expand the following expression: (x + 3)(x + 4)(x - 4)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**4 + 7*x**3 - 4*x**2 - 112*x - 192 | -300 |
Expand the following expression: (x - 5)(x - 5)(x - 3)(x - 2)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 19*x**4 + 141*x**3 - 509*x**2 + 890*x - 600 | -96 |
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