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 - 3)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 7*x**3 - 15*x**2 + 171*x - 270 | -120 |
Expand the following expression: (x - 1)(x - 4)(x + 5)(x + 5)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 11*x**4 + 9*x**3 - 211*x**2 - 410*x + 600 | 0 |
Expand the following expression: (x - 2)(x + 6)(x + 5)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 + 4*x**3 - 37*x**2 - 100*x + 300 | 168 |
Expand the following expression: (x + 5)(x + 6)(x + 6)(x - 6)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 12*x**4 + 5*x**3 - 402*x**2 - 1476*x - 1080 | -2940 |
Expand the following expression: (x - 5)(x + 1)(x - 3)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 13*x**3 + 49*x**2 - 27*x - 90 | -80 |
Expand the following expression: (x - 2)(x - 2)(x + 1)(x - 3)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 12*x**4 + 45*x**3 - 50*x**2 - 36*x + 72 | 20 |
Expand the following expression: (x + 3)(x + 2)(x - 3)(x + 4)
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 - 4)(x - 5)(x - 6)(x - 6)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 19*x**4 + 122*x**3 - 236*x**2 - 408*x + 1440 | 900 |
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 + 48*x - 36 | 0 |
Expand the following expression: (x - 1)(x + 6)(x - 5)(x - 4)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 3*x**4 - 35*x**3 + 123*x**2 + 34*x - 120 | 0 |
Expand the following expression: (x - 4)(x - 2)(x + 6)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**4 + 4*x**3 - 28*x**2 - 64*x + 192 | 105 |
Expand the following expression: (x - 1)(x + 6)(x - 2)(x + 2)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 2*x**4 - 25*x**3 + 10*x**2 + 84*x - 72 | 0 |
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 - 72*x**2 + 1296 | 1225 |
Expand the following expression: (x + 5)(x + 4)(x - 4)(x - 5)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 2*x**4 - 41*x**3 - 82*x**2 + 400*x + 800 | 1080 |
Expand the following expression: (x - 4)(x + 2)(x - 2)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 5*x**3 + 20*x - 16 | 0 |
Expand the following expression: (x - 3)(x + 2)(x + 3)(x + 1)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 7*x**4 + 5*x**3 - 55*x**2 - 126*x - 72 | -240 |
Expand the following expression: (x - 1)(x - 6)(x + 5)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 3*x**3 - 27*x**2 + 59*x - 30 | 0 |
Expand the following expression: (x - 4)(x - 5)(x - 2)(x - 6)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 13*x**4 + 36*x**3 + 148*x**2 - 832*x + 960 | 300 |
Expand the following expression: (x - 4)(x - 6)(x - 1)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 5*x**3 - 32*x**2 + 180*x - 144 | 0 |
Expand the following expression: (x - 2)(x + 2)(x + 2)(x + 6)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 14*x**4 + 56*x**3 + 16*x**2 - 240*x - 288 | -441 |
Expand the following expression: (x - 6)(x - 2)(x + 6)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 8*x**3 - 24*x**2 + 288*x - 432 | -175 |
Expand the following expression: (x + 3)(x - 2)(x - 1)(x + 1)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 5*x**4 - 3*x**3 - 29*x**2 + 2*x + 24 | 0 |
Expand the following expression: (x - 4)(x - 1)(x + 5)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - x**3 - 21*x**2 + 41*x - 20 | 0 |
Expand the following expression: (x - 2)(x - 3)(x - 2)(x - 5)(x - 4)
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 + 2)(x + 5)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 5*x**3 - 7*x**2 - 41*x - 30 | -72 |
Expand the following expression: (x + 2)(x - 2)(x + 3)(x + 6)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 15*x**4 + 68*x**3 + 48*x**2 - 288*x - 432 | -588 |
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 + 9*x**3 - 16*x**2 - 324*x - 720 | -1050 |
Expand the following expression: (x + 5)(x - 2)(x - 6)(x - 4)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 12*x**4 + 19*x**3 + 252*x**2 - 1100*x + 1200 | 360 |
Expand the following expression: (x + 3)(x + 1)(x - 2)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 3*x**3 - 15*x**2 + 19*x + 30 | 32 |
Expand the following expression: (x + 2)(x - 3)(x + 5)(x - 1)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 5*x**4 - 9*x**3 - 49*x**2 - 8*x + 60 | 0 |
Expand the following expression: (x + 2)(x - 1)(x - 4)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 5*x**3 + 20*x - 16 | 0 |
Expand the following expression: (x + 3)(x - 2)(x + 4)(x - 2)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 3*x**4 - 30*x**3 + 52*x**2 + 168*x - 288 | -100 |
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 + 11*x**3 + 14*x**2 - 176*x - 480 | -630 |
Expand the following expression: (x - 3)(x - 6)(x + 6)(x + 3)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 4*x**4 - 45*x**3 - 180*x**2 + 324*x + 1296 | 1400 |
Expand the following expression: (x + 4)(x + 4)(x + 2)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 9*x**3 + 22*x**2 - 32 | 0 |
Expand the following expression: (x - 5)(x + 4)(x + 2)(x - 4)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 4*x**4 - 23*x**3 + 74*x**2 + 112*x - 160 | 0 |
Expand the following expression: (x + 1)(x - 4)(x + 3)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + x**3 - 13*x**2 - 25*x - 12 | -48 |
Expand the following expression: (x - 1)(x - 2)(x + 5)(x + 4)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 3*x**4 - 23*x**3 - 27*x**2 + 166*x - 120 | 0 |
Expand the following expression: (x - 1)(x - 2)(x - 4)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 12*x**3 + 49*x**2 - 78*x + 40 | 0 |
Expand the following expression: (x + 1)(x + 4)(x - 4)(x + 1)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + x**4 - 17*x**3 - 17*x**2 + 16*x + 16 | 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 + 2*x**3 - 12*x**2 - 18*x + 27 | 0 |
Expand the following expression: (x - 3)(x + 4)(x + 3)(x + 3)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + x**4 - 39*x**3 - 81*x**2 + 270*x + 648 | 800 |
Expand the following expression: (x - 6)(x - 4)(x - 5)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 20*x**3 + 149*x**2 - 490*x + 600 | 240 |
Expand the following expression: (x + 4)(x + 6)(x + 2)(x - 2)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 11*x**4 + 30*x**3 - 20*x**2 - 136*x - 96 | -210 |
Expand the following expression: (x - 1)(x + 4)(x - 4)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - 5*x**3 - 12*x**2 + 80*x - 64 | 0 |
Expand the following expression: (x - 4)(x - 6)(x + 3)(x - 2)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 13*x**4 + 44*x**3 + 52*x**2 - 480*x + 576 | 180 |
Expand the following expression: (x - 5)(x + 4)(x + 6)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**4 + 10*x**3 - x**2 - 250*x - 600 | -840 |
Expand the following expression: (x - 3)(x - 1)(x - 4)(x + 4)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 9*x**4 + 7*x**3 + 129*x**2 - 368*x + 240 | 0 |
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 - 13*x**2 + 36 | 24 |
Expand the following expression: (x + 6)(x - 6)(x - 4)(x - 2)(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 - 4)(x - 3)(x - 4)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 10*x**3 + 29*x**2 - 8*x - 48 | -36 |
Expand the following expression: (x - 1)(x - 5)(x - 2)(x + 2)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - x**4 - 29*x**3 + 29*x**2 + 100*x - 100 | 0 |
Expand the following expression: (x - 6)(x - 2)(x + 3)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 11*x**3 + 18*x**2 + 108*x - 216 | -100 |
Expand the following expression: (x - 3)(x + 3)(x + 6)(x + 4)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 5*x**4 - 35*x**3 - 165*x**2 + 234*x + 1080 | 1120 |
Expand the following expression: (x + 1)(x - 3)(x - 5)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 4*x**3 - 14*x**2 + 36*x + 45 | 64 |
Expand the following expression: (x - 6)(x - 4)(x + 2)(x + 2)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 3*x**4 - 30*x**3 + 20*x**2 + 264*x + 288 | 540 |
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 - 13*x**3 + 62*x**2 - 128*x + 96 | 18 |
Expand the following expression: (x - 1)(x + 3)(x - 6)(x - 4)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 7*x**4 - 7*x**3 + 79*x**2 + 6*x - 72 | 0 |
Expand the following expression: (x - 1)(x + 2)(x + 3)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 2*x**3 - 23*x**2 - 12*x + 36 | 0 |
Expand the following expression: (x + 4)(x - 4)(x + 3)(x - 4)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 2*x**4 - 27*x**3 + 44*x**2 + 176*x - 192 | 0 |
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 - 9*x**3 + 21*x**2 + x - 30 | -16 |
Expand the following expression: (x + 2)(x - 6)(x + 5)(x + 4)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + x**4 - 48*x**3 - 76*x**2 + 512*x + 960 | 1350 |
Expand the following expression: (x + 4)(x - 1)(x + 3)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 7*x**3 + 11*x**2 - 7*x - 12 | 0 |
Expand the following expression: (x - 5)(x - 4)(x - 3)(x - 1)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 10*x**4 + 20*x**3 + 70*x**2 - 261*x + 180 | 0 |
Expand the following expression: (x - 1)(x + 6)(x - 2)(x + 6)
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 - 2)(x + 6)(x + 2)(x - 4)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - x**4 - 34*x**3 + 76*x**2 + 120*x - 288 | -126 |
Expand the following expression: (x + 4)(x - 5)(x - 2)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 27*x**2 - 14*x + 120 | 80 |
Expand the following expression: (x + 3)(x - 2)(x - 3)(x - 1)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 4*x**4 - 4*x**3 + 34*x**2 - 45*x + 18 | 0 |
Expand the following expression: (x - 3)(x - 1)(x + 1)(x - 2)
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 - 1)(x + 5)(x + 3)(x - 2)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 7*x**4 + 3*x**3 - 43*x**2 - 28*x + 60 | 0 |
Expand the following expression: (x - 1)(x - 1)(x - 1)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 6*x**2 + 8*x - 3 | 0 |
Expand the following expression: (x + 1)(x - 1)(x + 4)(x + 1)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 3*x**4 - 7*x**3 - 11*x**2 + 6*x + 8 | 0 |
Expand the following expression: (x - 4)(x - 1)(x + 6)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**4 + 6*x**3 - 21*x**2 - 106*x + 120 | 0 |
Expand the following expression: (x + 2)(x + 3)(x - 5)(x + 5)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 8*x**4 - 4*x**3 - 182*x**2 - 525*x - 450 | -1152 |
Expand the following expression: (x + 1)(x - 3)(x - 5)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 5*x**3 - 7*x**2 + 29*x + 30 | 48 |
Expand the following expression: (x + 2)(x + 3)(x - 1)(x + 3)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 3*x**4 - 15*x**3 - 55*x**2 - 6*x + 72 | 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 - 2*x**3 - 17*x**2 + 18*x + 72 | 72 |
Expand the following expression: (x - 6)(x + 5)(x + 2)(x + 5)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 63*x**3 - 58*x**2 + 1020*x + 1800 | 2700 |
Expand the following expression: (x + 4)(x - 2)(x + 5)(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 - 1)(x + 1)(x - 6)(x - 3)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 5*x**4 - 19*x**3 + 77*x**2 + 18*x - 72 | 0 |
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 + 3)(x + 3)(x + 3)(x - 1)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 2*x**4 - 30*x**3 - 108*x**2 - 27*x + 162 | 0 |
Expand the following expression: (x + 3)(x + 2)(x - 3)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 4*x**3 - 5*x**2 - 36*x - 36 | -72 |
Expand the following expression: (x + 5)(x - 2)(x - 1)(x + 6)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 7*x**4 - 9*x**3 - 67*x**2 + 128*x - 60 | 0 |
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 | 48 |
Expand the following expression: (x - 4)(x + 3)(x - 3)(x + 4)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 4*x**4 - 25*x**3 + 100*x**2 + 144*x - 576 | -360 |
Expand the following expression: (x + 1)(x - 5)(x - 3)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 10*x**3 + 28*x**2 - 6*x - 45 | -32 |
Expand the following expression: (x + 5)(x - 4)(x - 4)(x + 6)(x - 1)
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 + 6)(x - 1)(x - 4)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 2*x**3 - 25*x**2 - 2*x + 24 | 0 |
Expand the following expression: (x + 2)(x - 6)(x - 1)(x + 4)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 5*x**4 - 34*x**3 - 188*x**2 - 72*x + 288 | 0 |
Expand the following expression: (x - 2)(x + 5)(x - 5)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - x**3 - 27*x**2 + 25*x + 50 | 48 |
Expand the following expression: (x - 4)(x + 2)(x - 3)(x + 3)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 7*x**4 - 7*x**3 + 103*x**2 - 18*x - 360 | -288 |
Expand the following expression: (x - 5)(x + 4)(x + 1)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - x**3 - 21*x**2 + x + 20 | 0 |
Expand the following expression: (x - 6)(x - 2)(x - 3)(x + 1)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 12*x**4 + 45*x**3 - 50*x**2 - 36*x + 72 | 20 |
Expand the following expression: (x - 3)(x - 6)(x + 2)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 6*x**3 - 7*x**2 + 36*x + 36 | 60 |
Expand the following expression: (x + 3)(x + 2)(x - 5)(x + 6)(x - 3)
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 + 5)(x + 4)(x + 2)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 9*x**3 + 16*x**2 - 36*x - 80 | -90 |
Expand the following expression: (x - 4)(x + 2)(x + 4)(x + 5)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 8*x**4 + x**3 - 118*x**2 - 272*x - 160 | -540 |
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 - 8*x**3 + 11*x**2 + 32*x - 60 | -24 |
Expand the following expression: (x - 2)(x - 3)(x + 4)(x + 1)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 6*x**4 - 15*x**3 - 80*x**2 + 84*x + 144 | 140 |
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