 Calculate c.
-2, 0, 1, 10
What is r in -45*r**4 - 12*r**3 = 0?
-4/15, 0
Factor c**3/2 - 211*c**2/2 - 3101*c/2 - 11025/2.
(c - 225)*(c + 7)**2/2
Factor -9*s**3/2 - 27*s**2 + 61*s/2 - 7.
-(s + 7)*(3*s - 2)*(3*s - 1)/2
Solve 4*m**5 - 16*m**3 - 8*m**2 + 12*m + 8 = 0 for m.
-1, 1, 2
Suppose -3*q**5 + 18*q**4 - 9*q**3 - 30*q**2 = 0. Calculate q.
-1, 0, 2, 5
Factor -j**5/3 + 9*j**4 - 70*j**3 + 100*j**2/3 + 1000*j.
-j*(j - 10)**3*(j + 3)/3
Factor 2*y**3/5 - 2*y**2 - 444*y/5 - 432/5.
2*(y - 18)*(y + 1)*(y + 12)/5
Determine m, given that 2*m**3 - 662*m**2 - 2000*m - 1336 = 0.
-2, -1, 334
Factor 3*b**2 - 168*b - 720.
3*(b - 60)*(b + 4)
Determine z, given that -2*z**5/15 - 638*z**4/15 = 0.
-319, 0
Factor l**3/3 - 19*l**2/3 + 44*l/3 + 64/3.
(l - 16)*(l - 4)*(l + 1)/3
Let 14*g**5/11 - 52*g**4/11 + 40*g**3/11 + 16*g**2/11 = 0. What is g?
-2/7, 0, 2
Let 1556*z**2 + 3104*z - 16 = 0. Calculate z.
-2, 2/389
Determine z, given that 3*z**4/4 - 33*z**3/8 + 63*z**2/8 - 6*z + 3/2 = 0.
1/2, 1, 2
Factor 3*y**2/8 - 1053*y/8 - 1065/2.
3*(y - 355)*(y + 4)/8
Factor -2*v**5/9 + 10*v**4/9 - 16*v**3/9 + 8*v**2/9.
-2*v**2*(v - 2)**2*(v - 1)/9
Factor 1119744*c**3 - 46656*c**2 + 648*c - 3.
3*(72*c - 1)**3
Find d such that 3*d**5/7 - 54*d**4/7 + 75*d**3/7 + 324*d**2/7 + 192*d/7 = 0.
-1, 0, 4, 16
Factor 405*d**5 - 425475*d**4 - 189160*d**3 - 21020*d**2.
5*d**2*(d - 1051)*(9*d + 2)**2
Find a, given that -2*a**5/7 - 54*a**4/7 + 122*a**3/7 + 166*a**2/7 - 240*a/7 - 232/7 = 0.
-29, -1, 2
Factor -j**2 - 6*j + 16.
-(j - 2)*(j + 8)
Factor -3*r**3 - 60*r**2 - 144*r + 1728.
-3*(r - 4)*(r + 12)**2
Determine t, given that -3*t**3 + 12*t**2 - 9*t = 0.
0, 1, 3
Factor 5*r**3 + 295*r**2 - 5*r - 295.
5*(r - 1)*(r + 1)*(r + 59)
Suppose d**5/2 + 17*d**4/2 + 43*d**3/2 + 11*d**2/2 - 22*d - 14 = 0. Calculate d.
-14, -2, -1, 1
Determine w, given that w**5/9 - 34*w**3/3 + 200*w**2/9 - 11*w = 0.
-11, 0, 1, 9
Factor 2*m**4 + 32*m**3 + 90*m**2 - 324*m.
2*m*(m - 2)*(m + 9)**2
Solve -u**5/2 - 2*u**4/3 + 29*u**3/6 - 7*u**2/3 - 4*u/3 = 0.
-4, -1/3, 0, 1, 2
Determine j so that 630*j**5 + 2769*j**4/2 + 813*j**3 - 27*j**2/2 - 78*j - 6 = 0.
-1, -2/5, -1/12, 2/7
Factor -d**4/2 - 35*d**3 - 686*d**2 - 4116*d.
-d*(d + 14)**2*(d + 42)/2
Factor 3*x**4/7 + 9*x**3/7 - 30*x**2/7.
3*x**2*(x - 2)*(x + 5)/7
Suppose -3*q**4 - 21*q**3 - 51*q**2 - 51*q - 18 = 0. What is q?
-3, -2, -1
Factor y**2 + 20*y - 44.
(y - 2)*(y + 22)
Factor 3*u**3/4 - 3*u**2 - 159*u/4 + 126.
3*(u - 8)*(u - 3)*(u + 7)/4
Find p, given that p**3/3 - p**2 - 10*p/3 + 8 = 0.
-3, 2, 4
Factor -3*z**3/2 + 1575*z**2/2 - 275625*z/2 + 16078125/2.
-3*(z - 175)**3/2
Determine v so that v**2/2 + 122*v + 723/2 = 0.
-241, -3
Find m, given that 3*m**2/4 + 21*m/2 - 825/4 = 0.
-25, 11
Find v such that -2*v**2 + 40*v - 38 = 0.
1, 19
Determine k so that 3*k**4 - 12*k**3 + 15*k**2 - 6*k = 0.
0, 1, 2
Factor -164836*d**3/5 - 64960*d**2 + 9708*d/5 - 72/5.
-4*(d + 2)*(203*d - 3)**2/5
Factor 4*x**3 - 32*x**2 - 620*x - 1800.
4*(x - 18)*(x + 5)**2
Let 15*r**4 - 55*r**3 - 60*r**2 + 180*r - 80 = 0. What is r?
-2, 2/3, 1, 4
Suppose -4*w**4 + 10*w**3 + 599*w**2/4 + 201*w + 72 = 0. Calculate w.
-4, -3/4, 8
Determine k so that 2*k**2/5 + 208*k/5 - 424/5 = 0.
-106, 2
Determine w so that 3*w**3/5 - 39*w**2 + 564*w/5 - 372/5 = 0.
1, 2, 62
Factor -x**3 - 60*x**2 - 224*x.
-x*(x + 4)*(x + 56)
Let c**2 - 53*c + 52 = 0. What is c?
1, 52
Factor 285*t**2 - 576*t + 12.
3*(t - 2)*(95*t - 2)
Suppose h**2/3 + 59*h/3 + 56 = 0. Calculate h.
-56, -3
Determine v, given that 297*v**5 + 150*v**4 - 2158*v**3/3 + 944*v**2/3 - 133*v/3 + 2 = 0.
-2, 1/9, 3/11, 1
Solve -4*r**3 + 960*r**2 + 972*r - 1928 = 0 for r.
-2, 1, 241
Factor -v**3 + 8*v**2 - 5*v - 50.
-(v - 5)**2*(v + 2)
Factor -2*r**4/15 + 28*r**3/5 - 362*r**2/15 - 728*r - 6760/3.
-2*(r - 26)**2*(r + 5)**2/15
What is k in -k**4/4 - k**3/2 + 65*k**2/4 - 75*k/2 = 0?
-10, 0, 3, 5
Determine d so that 40*d**3 - 105*d**2 - 45*d = 0.
-3/8, 0, 3
Suppose 385*p**2 + 410*p + 25 = 0. What is p?
-1, -5/77
Suppose -3*h**3 - 15*h**2 - 12*h = 0. What is h?
-4, -1, 0
Factor -68*j**2 - 134*j + 4.
-2*(j + 2)*(34*j - 1)
Factor -729*w**4 + 5346*w**3 + 3780*w**2 + 856*w + 64.
-(w - 8)*(9*w + 2)**3
Solve -z**3/4 - 53*z**2 - 2912*z - 10816 = 0.
-104, -4
Suppose 3*q**4 + 122*q**3 - 44*q**2 - 122*q + 41 = 0. Calculate q.
-41, -1, 1/3, 1
Let c**2 + 4*c - 12 = 0. What is c?
-6, 2
Determine n, given that n**3/8 - 7*n/8 + 3/4 = 0.
-3, 1, 2
Factor -4*j**3 - 16*j**2 + 28*j + 40.
-4*(j - 2)*(j + 1)*(j + 5)
Solve -k**2/7 - 1256*k/7 - 394384/7 = 0 for k.
-628
Factor 2*f**2/3 + 90*f + 1048/3.
2*(f + 4)*(f + 131)/3
What is a in -3362*a**2/15 - 328*a/15 - 8/15 = 0?
-2/41
Suppose -2*u**4/11 - 1832*u**3/11 - 413978*u**2/11 + 2550252*u/11 = 0. Calculate u.
-461, 0, 6
Find i such that 4*i**3 - 4*i**2 - 8*i = 0.
-1, 0, 2
Let -5*y**3/4 - 9*y**2/8 + 21*y/8 - 1/4 = 0. Calculate y.
-2, 1/10, 1
Solve -f**4 - 8*f**3 - 23*f**2 - 28*f - 12 = 0.
-3, -2, -1
Factor 2*p**2 + 110*p + 108.
2*(p + 1)*(p + 54)
Determine n, given that 4*n**3 - 20*n**2 + 12*n + 36 = 0.
-1, 3
Factor -4*b**3/3 - 20*b**2 + 189*b + 2916.
-(b - 12)*(2*b + 27)**2/3
Factor -75*c**2/7 - 240*c/7 - 192/7.
-3*(5*c + 8)**2/7
Solve -u**5 + u**4 + u**3 - u**2 = 0.
-1, 0, 1
Suppose 2*f**3 + 4*f**2 - 22*f - 24 = 0. Calculate f.
-4, -1, 3
Let 665*d**2 - 795*d/4 + 5/2 = 0. What is d?
1/76, 2/7
Find r such that 38*r**3/17 - 338*r**2/17 + 268*r/17 + 32/17 = 0.
-2/19, 1, 8
Suppose 78*f**2 - 159*f + 6 = 0. What is f?
1/26, 2
Factor 5*f**3 + 130*f**2 + 1085*f + 2940.
5*(f + 7)**2*(f + 12)
Factor -2*f**4/5 + 22*f**3 - 2052*f**2/5 + 13608*f/5 - 11664/5.
-2*(f - 18)**3*(f - 1)/5
Factor -10*q**5/17 + 116*q**4/17 - 66*q**3/17.
-2*q**3*(q - 11)*(5*q - 3)/17
Factor -w**2 - 96*w - 279.
-(w + 3)*(w + 93)
What is j in -j**4/4 + 2*j**3 + 49*j**2/4 - 47*j + 33 = 0?
-6, 1, 2, 11
Solve -10*j**2 - 72*j + 64 = 0 for j.
-8, 4/5
Factor 2*s**3/5 - 208*s**2/5 + 160*s.
2*s*(s - 100)*(s - 4)/5
Factor 5*d**4 + 1225*d**3 - 2465*d**2 + 1235*d.
5*d*(d - 1)**2*(d + 247)
Factor 5*y**4/3 - 35*y**3 + 95*y**2 - 275*y/3 + 30.
5*(y - 18)*(y - 1)**3/3
Factor 2*b**2/5 + 28*b - 288/5.
2*(b - 2)*(b + 72)/5
Factor 71*x**3/11 + 2*x**2/11 - 284*x/11 - 8/11.
(x - 2)*(x + 2)*(71*x + 2)/11
Determine s, given that -5*s**5 - 115*s**4 - 715*s**3 - 1865*s**2 - 2160*s - 900 = 0.
-15, -3, -2, -1
Factor -2*f**4 + f**3 + f**2.
-f**2*(f - 1)*(2*f + 1)
Let -2*o**4/15 + 28*o**3/15 - 32*o**2/5 - 64*o/15 + 512/15 = 0. Calculate o.
-2, 4, 8
Factor 4*z**3 + 44*z**2 + 120*z.
4*z*(z + 5)*(z + 6)
Factor 4*u**4 - 36*u**3 + 120*u**2 - 176*u + 96.
4*(u - 3)*(u - 2)**3
Factor -3*m**3/2 - 1233*m**2/2 - 127305*m/2 - 126075/2.
-3*(m + 1)*(m + 205)**2/2
Suppose 2*q**3/17 + 762*q**2/17 - 2*q/17 - 762/17 = 0. Calculate q.
-381, -1, 1
Solve -4*g**3 - 12*g**2 - 8*g = 0 for g.
-2, -1, 0
What is n in 4*n**3 - 97*n**2/3 - 1828*n/3 + 51 = 0?
-9, 1/12, 17
Let 3*h**5 - 39*h**4/5 + 18*h**3/5 + 6*h**2 - 33*h/5 + 9/5 = 0. What is h?
-1, 3/5, 1
What is v in -2*v**4/3 + 136*v**3/3 + 716*v**2/3 + 1016*v/3 + 146 = 0?
-3, -1, 73
Factor 14*r**2 + 136*r - 40.
2*(r + 10)*(7*r - 2)
Let -15*r**3 + 1850*r**2 - 56420*r - 38440 = 0. What is r?
-2/3, 62
Suppose -k**4 + 296*k**3 - 1749*k**2 + 2614*k - 1160 = 0. Calculate k.
1, 4, 290
Find r, given that 10*r**4/11 + 496*r**3/11 + 154*r**2 + 160*r + 552/11 = 0.
-46, -2, -1, -3/5
Factor -l**3/3 + 38*l**2/3 - 136*l/3.
-l*(l - 34)*(l - 4)/3
Solve -28*x**4 - 3732*x**3 - 115052*x**2 + 633972*x + 190440 = 0.
-69, -2/7, 5
Factor -2*i**3/7 + 234*i**2/7 - 130*i + 678/7.
-2*(i - 113)*(i - 3)*(i - 1)/7
Determine d so that 2*d**3/9 - 320*d**2/9 - 322*d/9 = 0.
-1, 0, 161
Factor -2*f**2/7 + 720*f/7 - 64800/7.
-2*(f - 180)**2/7
Factor 8*m**3 - 118*m**2 + 204*m.
2*m*(m - 2)*(4*m - 51)
Suppose -3*s**2/2 - 264*s - 11616 = 0. Calculate s.
-88
Factor -2*q**2/5 - 12*q/5 - 2.
-2*(q + 1)*(q + 5)/5
Factor 3*q**4 - 84*q**3 - 927*q**2 - 2604*q - 2220.
3*(q - 37)*(q + 2)**2*(q + 5)
Factor -4*q**4/5 + 412*q**3/5 + 1696*q**2/5 + 1712*q/5.
-4*q*(q - 107)*(q + 2)**2/5
Suppose -2*h**2/9 - 104*h/9 + 190/3 = 0. Calculate h.
-57, 5
Factor -3*j**2 - 2574*j - 552123.
-3*(j + 429)**2
Find b, given that -3*b**2/4 + 7749*b/4 = 0.
0, 2583
Find a such that a**5 - 4*a**4 - 25*a**3 + 100*a**2 = 0.
-5, 0, 4, 5
Factor -5*y**4 + 30*y**3 + 45*y**