problem stringlengths 126 133 | expanded_form stringlengths 17 53 | answer stringclasses 476
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Expand the following expression: (x + 4)(x + 3)(x - 3)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 5*x**3 - 5*x**2 - 45*x - 36 | -80 |
Expand the following expression: (x - 5)(x - 2)(x + 6)(x - 1)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**5 - 4*x**4 - 27*x**3 + 154*x**2 - 244*x + 120 | 0 |
Expand the following expression: (x + 6)(x + 4)(x - 5)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - x**3 - 56*x**2 + 36*x + 720 | 700 |
Expand the following expression: (x + 4)(x + 3)(x + 6)(x + 5)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 19*x**4 + 137*x**3 + 461*x**2 + 702*x + 360 | 1680 |
Expand the following expression: (x - 4)(x - 1)(x - 6)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 13*x**3 + 56*x**2 - 92*x + 48 | 0 |
Expand the following expression: (x + 3)(x + 1)(x - 4)(x - 1)(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 - 1)(x + 3)(x + 1)
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 - 5)(x - 4)(x + 4)(x + 5)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**5 - 3*x**4 - 41*x**3 + 123*x**2 + 400*x - 1200 | -720 |
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 + 11*x**3 + 4*x**2 - 276*x - 720 | -980 |
Expand the following expression: (x + 3)(x - 3)(x + 3)(x - 4)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 6*x**4 - 16*x**3 + 114*x**2 + 63*x - 540 | -384 |
Expand the following expression: (x + 3)(x + 1)(x - 4)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 3*x**3 - 13*x**2 + 27*x + 36 | 48 |
Expand the following expression: (x + 2)(x + 6)(x + 3)(x - 6)(x + 2)
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 | -1260 |
Expand the following expression: (x + 5)(x - 5)(x - 1)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 3*x**3 - 23*x**2 + 75*x - 50 | 0 |
Expand the following expression: (x - 3)(x + 5)(x + 5)(x - 2)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 4*x**4 - 24*x**3 - 46*x**2 + 215*x - 150 | 0 |
Expand the following expression: (x - 2)(x - 2)(x + 2)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - x**3 - 6*x**2 + 4*x + 8 | 6 |
Expand the following expression: (x + 2)(x + 5)(x + 1)(x - 6)(x - 6)
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 - 6)(x + 6)(x + 3)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 45*x**2 + 324 | 280 |
Expand the following expression: (x + 1)(x - 2)(x - 5)(x + 4)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 4*x**4 - 33*x**3 - 104*x**2 + 172*x + 240 | 280 |
Expand the following expression: (x - 5)(x + 5)(x - 2)(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 + 5)(x + 5)(x - 4)(x + 3)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 14*x**4 + 48*x**3 - 130*x**2 - 1025*x - 1500 | -2592 |
Expand the following expression: (x - 2)(x + 4)(x + 6)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 11*x**3 + 28*x**2 - 36*x - 144 | -140 |
Expand the following expression: (x + 6)(x + 1)(x + 2)(x - 1)(x + 5)
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 - 5)(x - 1)(x + 6)(x - 2)
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 + 6)(x - 3)(x + 2)(x + 3)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 10*x**4 + 19*x**3 - 66*x**2 - 252*x - 216 | -504 |
Expand the following expression: (x - 5)(x - 5)(x - 6)(x - 4)
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 - 6)(x - 6)(x - 6)(x + 4)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 9*x**4 - 34*x**3 + 396*x**2 + 216*x - 4320 | -3750 |
Expand the following expression: (x - 3)(x - 3)(x + 6)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 3*x**3 - 27*x**2 - 27*x + 162 | 112 |
Expand the following expression: (x + 1)(x - 3)(x - 6)(x + 4)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 10*x**4 + x**3 + 192*x**2 - 252*x - 432 | -500 |
Expand the following expression: (x + 4)(x - 4)(x - 1)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 3*x**3 - 14*x**2 + 48*x - 32 | 0 |
Expand the following expression: (x - 1)(x - 2)(x - 2)(x - 3)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 13*x**4 + 63*x**3 - 143*x**2 + 152*x - 60 | 0 |
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 + 13*x**3 + 57*x**2 + 99*x + 54 | 224 |
Expand the following expression: (x + 4)(x + 6)(x + 4)(x + 4)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 23*x**4 + 210*x**3 + 952*x**2 + 2144*x + 1920 | 5250 |
Expand the following expression: (x + 5)(x + 2)(x - 3)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - x**3 - 31*x**2 + 25*x + 150 | 144 |
Expand the following expression: (x + 6)(x - 3)(x + 4)(x + 1)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 10*x**4 + 17*x**3 - 76*x**2 - 228*x - 144 | -420 |
Expand the following expression: (x - 5)(x + 2)(x - 1)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + 2*x**3 - 31*x**2 - 32*x + 60 | 0 |
Expand the following expression: (x + 6)(x - 2)(x - 4)(x + 6)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 2*x**4 - 52*x**3 - 8*x**2 + 768*x - 1152 | -441 |
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 + 9*x**3 + 21*x**2 - x - 30 | 0 |
Expand the following expression: (x - 5)(x - 6)(x + 1)(x + 1)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 13*x**4 + 45*x**3 + 13*x**2 - 166*x - 120 | -240 |
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 + 3*x**3 - 31*x**2 - 63*x + 90 | 0 |
Expand the following expression: (x - 2)(x - 1)(x - 4)(x + 5)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + x**4 - 27*x**3 - x**2 + 146*x - 120 | 0 |
Expand the following expression: (x + 5)(x - 4)(x - 3)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**4 + 2*x**3 - 31*x**2 - 32*x + 240 | 180 |
Expand the following expression: (x + 3)(x + 1)(x + 4)(x - 1)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 11*x**4 + 39*x**3 + 37*x**2 - 40*x - 48 | 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 - 5*x**3 - 19*x**2 + 125*x - 150 | -48 |
Expand the following expression: (x - 2)(x - 2)(x - 2)(x + 3)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - 7*x**4 + 6*x**3 + 52*x**2 - 136*x + 96 | 12 |
Expand the following expression: (x + 2)(x - 6)(x - 2)(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 | 45 |
Expand the following expression: (x + 6)(x + 5)(x + 1)(x + 3)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 16*x**4 + 92*x**3 + 230*x**2 + 243*x + 90 | 672 |
Expand the following expression: (x - 1)(x - 6)(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 - 6)(x + 6)(x + 3)(x - 2)(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 - 1)(x - 1)(x + 2)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 3*x**3 - 3*x**2 - 7*x + 6 | 0 |
Expand the following expression: (x - 5)(x + 6)(x + 4)(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 - 5)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 8*x**3 + 14*x**2 + 8*x - 15 | 0 |
Expand the following expression: (x + 6)(x + 4)(x - 2)(x - 1)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 8*x**4 + 3*x**3 - 56*x**2 - 4*x + 48 | 0 |
Expand the following expression: (x - 6)(x - 5)(x - 4)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 12*x**3 + 29*x**2 + 102*x - 360 | -240 |
Expand the following expression: (x - 4)(x + 5)(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 | -144 |
Expand the following expression: (x - 1)(x + 1)(x - 4)(x - 2)
Then, what is the sum of the coefficients and the constant term? | x**4 - 6*x**3 + 7*x**2 + 6*x - 8 | 0 |
Expand the following expression: (x - 2)(x + 3)(x - 3)(x - 3)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - x**4 - 23*x**3 + 33*x**2 + 126*x - 216 | -80 |
Expand the following expression: (x - 5)(x - 1)(x - 3)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**4 - 5*x**3 - 13*x**2 + 77*x - 60 | 0 |
Expand the following expression: (x - 2)(x + 2)(x - 2)(x - 6)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 7*x**4 + 40*x**2 - 16*x - 48 | -30 |
Expand the following expression: (x - 1)(x + 4)(x - 6)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**4 + x**3 - 34*x**2 - 64*x + 96 | 0 |
Expand the following expression: (x + 5)(x - 4)(x - 4)(x - 5)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 14*x**4 + 39*x**3 + 254*x**2 - 1600*x + 2400 | 1080 |
Expand the following expression: (x + 2)(x - 5)(x + 3)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 + 6*x**3 - 19*x**2 - 144*x - 180 | -336 |
Expand the following expression: (x + 2)(x - 5)(x + 6)(x + 2)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 8*x**4 - 7*x**3 - 182*x**2 - 468*x - 360 | -1008 |
Expand the following expression: (x - 4)(x - 2)(x + 1)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 - 6*x**3 + 7*x**2 + 6*x - 8 | 0 |
Expand the following expression: (x - 3)(x + 3)(x - 4)(x - 1)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 11*x**4 + 25*x**3 + 75*x**2 - 306*x + 216 | 0 |
Expand the following expression: (x + 3)(x + 4)(x - 4)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**4 + 8*x**3 - x**2 - 128*x - 240 | -360 |
Expand the following expression: (x + 6)(x + 4)(x + 3)(x + 5)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + 13*x**4 + 29*x**3 - 253*x**2 - 1350*x - 1800 | -3360 |
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 + 8*x**3 - 7*x**2 - 134*x - 120 | -252 |
Expand the following expression: (x - 5)(x + 1)(x + 3)(x + 3)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 4*x**4 - 16*x**3 - 106*x**2 - 177*x - 90 | -384 |
Expand the following expression: (x + 4)(x + 3)(x - 5)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + x**3 - 25*x**2 - 37*x + 60 | 0 |
Expand the following expression: (x + 1)(x + 4)(x + 4)(x + 3)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 18*x**4 + 123*x**3 + 394*x**2 + 576*x + 288 | 1400 |
Expand the following expression: (x + 5)(x + 2)(x + 1)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 9*x**3 + 25*x**2 + 27*x + 10 | 72 |
Expand the following expression: (x - 4)(x + 6)(x - 1)(x - 2)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 2*x**4 - 31*x**3 - 8*x**2 + 180*x - 144 | 0 |
Expand the following expression: (x + 5)(x + 1)(x + 6)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**4 + 11*x**3 + 29*x**2 - 11*x - 30 | 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 + 6*x**4 - 25*x**3 - 210*x**2 - 396*x - 216 | -840 |
Expand the following expression: (x + 1)(x + 2)(x - 2)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**4 + 5*x**3 - 20*x - 16 | -30 |
Expand the following expression: (x + 4)(x - 2)(x - 2)(x - 2)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 3*x**4 - 10*x**3 + 52*x**2 - 72*x + 32 | 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 - 16*x**3 + 89*x**2 - 194*x + 120 | 0 |
Expand the following expression: (x + 1)(x + 5)(x + 2)(x - 1)(x + 1)
Then, what is the sum of the coefficients and the constant term? | x**5 + 8*x**4 + 16*x**3 + 2*x**2 - 17*x - 10 | 0 |
Expand the following expression: (x + 5)(x + 4)(x - 5)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**4 + 6*x**3 - 17*x**2 - 150*x - 200 | -360 |
Expand the following expression: (x - 1)(x - 3)(x + 3)(x + 4)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 3*x**4 - 31*x**3 + 51*x**2 + 198*x - 216 | 0 |
Expand the following expression: (x + 6)(x + 5)(x - 2)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + 12*x**3 + 35*x**2 - 36*x - 180 | -168 |
Expand the following expression: (x + 4)(x - 3)(x + 6)(x + 3)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + 16*x**4 + 75*x**3 - 756*x - 1296 | -1960 |
Expand the following expression: (x - 3)(x + 4)(x - 2)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 6*x**3 - 9*x**2 + 94*x - 120 | -40 |
Expand the following expression: (x - 3)(x + 4)(x - 2)(x + 1)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**5 - 5*x**4 - 15*x**3 + 85*x**2 - 26*x - 120 | -80 |
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 - 4*x**3 - 15*x**2 + 58*x - 40 | 0 |
Expand the following expression: (x - 4)(x + 3)(x + 5)(x + 1)(x + 2)
Then, what is the sum of the coefficients and the constant term? | x**5 + 7*x**4 - 3*x**3 - 103*x**2 - 214*x - 120 | -432 |
Expand the following expression: (x + 3)(x - 5)(x - 6)(x - 5)
Then, what is the sum of the coefficients and the constant term? | x**4 - 13*x**3 + 37*x**2 + 105*x - 450 | -320 |
Expand the following expression: (x + 5)(x - 1)(x - 3)(x - 5)(x + 5)
Then, what is the sum of the coefficients and the constant term? | x**5 + x**4 - 42*x**3 - 10*x**2 + 425*x - 375 | 0 |
Expand the following expression: (x + 2)(x + 1)(x + 1)(x - 3)
Then, what is the sum of the coefficients and the constant term? | x**4 + x**3 - 7*x**2 - 13*x - 6 | -24 |
Expand the following expression: (x + 2)(x - 2)(x - 6)(x - 1)(x - 6)
Then, what is the sum of the coefficients and the constant term? | x**5 - 13*x**4 + 44*x**3 + 16*x**2 - 192*x + 144 | 0 |
Expand the following expression: (x - 5)(x - 6)(x + 1)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**4 - 4*x**3 - 41*x**2 + 144*x + 180 | 280 |
Expand the following expression: (x - 4)(x + 4)(x - 4)(x - 1)(x + 4)
Then, what is the sum of the coefficients and the constant term? | x**5 - x**4 - 32*x**3 + 32*x**2 + 256*x - 256 | 0 |
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 + 16*x**3 + 91*x**2 + 216*x + 180 | 504 |
Expand the following expression: (x - 6)(x + 6)(x - 6)(x + 6)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**5 + 3*x**4 - 72*x**3 - 216*x**2 + 1296*x + 3888 | 4900 |
Expand the following expression: (x + 2)(x + 1)(x - 6)(x - 5)
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 - 4)(x - 3)(x - 3)(x + 6)(x - 1)
Then, what is the sum of the coefficients and the constant term? | x**5 - 5*x**4 - 23*x**3 + 189*x**2 - 378*x + 216 | 0 |
Expand the following expression: (x - 3)(x - 1)(x - 4)(x + 3)
Then, what is the sum of the coefficients and the constant term? | x**4 - 5*x**3 - 5*x**2 + 45*x - 36 | 0 |
Expand the following expression: (x - 6)(x - 1)(x + 3)(x - 1)(x + 6)
Then, what is the sum of the coefficients and the constant term? | x**5 + x**4 - 41*x**3 - 33*x**2 + 180*x - 108 | 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 + 17*x**3 + 100*x**2 + 228*x + 144 | 490 |
Expand the following expression: (x + 6)(x - 1)(x - 3)(x + 6)(x - 4)
Then, what is the sum of the coefficients and the constant term? | x**5 + 4*x**4 - 41*x**3 - 72*x**2 + 540*x - 432 | 0 |
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