 1/2
Let -5*g**2 + 12410*g - 7700405 = 0. What is g?
1241
Find r such that -20*r**4 + 528*r**3 - 3588*r**2 + 1352*r = 0.
0, 2/5, 13
Factor -5*g**2 - 22410*g - 25110405.
-5*(g + 2241)**2
Suppose -6*x**3/17 - 124*x**2/17 + 334*x/17 + 276/17 = 0. Calculate x.
-23, -2/3, 3
Factor -2*v**2/3 + 28*v + 90.
-2*(v - 45)*(v + 3)/3
Factor -9*t**2 + 111*t - 186.
-3*(t - 2)*(3*t - 31)
Factor 3*a**3 + 3*a**2 - 36*a.
3*a*(a - 3)*(a + 4)
What is w in -w**2/4 - 496*w - 246016 = 0?
-992
Factor 7*i**2/4 - 962*i - 275.
(i - 550)*(7*i + 2)/4
Suppose 2*f**4/5 - 22*f**3/5 - 62*f**2/5 + 118*f/5 + 156/5 = 0. What is f?
-3, -1, 2, 13
Solve -24*u**5 - 210*u**4 - 663*u**3 - 909*u**2 - 513*u - 81 = 0 for u.
-3, -3/2, -1, -1/4
Factor -3*t**3 - 525*t**2 + 2718*t + 3240.
-3*(t - 6)*(t + 1)*(t + 180)
Factor -u**3/3 - 2*u**2/3 + 455*u/3 + 1352.
-(u - 24)*(u + 13)**2/3
Factor -2*v**2/7 + 74*v/7 + 76/7.
-2*(v - 38)*(v + 1)/7
Find x, given that 25*x**4/4 - 23*x**3/4 - 13*x**2 - x = 0.
-1, -2/25, 0, 2
Suppose d**3/3 + 19*d**2/3 + 80*d/3 - 100/3 = 0. Calculate d.
-10, 1
Let -45*i**5 - 750*i**4 + 280*i**3 + 430*i**2 + 85*i = 0. What is i?
-17, -1/3, 0, 1
What is z in z**4/6 - 13*z**3/3 - z**2/6 + 13*z/3 = 0?
-1, 0, 1, 26
Solve 7*k**5/5 + 93*k**4/5 + 50*k**3 + 204*k**2/5 + 8*k = 0 for k.
-10, -2, -1, -2/7, 0
Suppose f**3/7 + 328*f**2/7 + 327*f/7 = 0. Calculate f.
-327, -1, 0
Determine k so that -14*k**2/11 + 848*k/11 + 366/11 = 0.
-3/7, 61
Solve 2*n**3/3 + 7*n**2/3 + 8*n/3 + 1 = 0.
-3/2, -1
Find g, given that g**3 + 10*g**2 - 52*g + 56 = 0.
-14, 2
Factor -2*t**4/9 + 22*t**3/9 + 26*t**2/3 + 82*t/9 + 28/9.
-2*(t - 14)*(t + 1)**3/9
Let 6*x**4 - 98*x**3 + 26*x**2 + 98*x - 32 = 0. What is x?
-1, 1/3, 1, 16
Let m**2/5 - 1360*m = 0. What is m?
0, 6800
What is m in 3*m**4/4 + 3*m**3/2 - 9*m**2 + 21*m/2 - 15/4 = 0?
-5, 1
Find v, given that -7*v**5/2 - 15*v**4/4 + 4*v**3 + 9*v**2/2 - v/2 - 3/4 = 0.
-1, -1/2, 3/7, 1
Determine z, given that z**2 + 3350*z/3 + 744 = 0.
-1116, -2/3
Let -j**4/4 + 7*j**3/4 + j**2/4 - 7*j/4 = 0. What is j?
-1, 0, 1, 7
Factor 3*b**2 - 222*b + 4107.
3*(b - 37)**2
Find r such that 4*r**3 + 1656*r**2 - 3324*r + 1664 = 0.
-416, 1
Solve m**2 - 12*m - 133 = 0.
-7, 19
Let -3*g**3 - 1215*g**2 - 164025*g - 7381125 = 0. Calculate g.
-135
Factor -5*n**3 - 85*n**2 - 375*n - 495.
-5*(n + 3)**2*(n + 11)
Solve -3*s**2/4 + 78*s - 2028 = 0 for s.
52
Find t such that -3*t**5 - 111*t**4 - 717*t**3 + 5619*t**2 - 10080*t + 5292 = 0.
-21, 1, 2
Factor -3*v**4/7 + 33*v**3/7 - 57*v**2/7 + 27*v/7.
-3*v*(v - 9)*(v - 1)**2/7
Factor -2*h**3 - 66*h**2 - 348*h + 416.
-2*(h - 1)*(h + 8)*(h + 26)
What is m in -2*m**3/3 + 6*m**2 - 22*m/3 - 14 = 0?
-1, 3, 7
Solve t**2/4 + 47*t/4 - 49/2 = 0 for t.
-49, 2
Factor -3*v**3 + 111*v**2 - 1200*v + 4032.
-3*(v - 21)*(v - 8)**2
Factor 2*x**3/11 - 1372*x**2/11 + 21638*x - 84568.
2*(x - 341)**2*(x - 4)/11
Let q**5/4 - 47*q**4/2 + 2425*q**3/4 + 621*q**2 - 115668*q - 571536 = 0. What is q?
-7, 36
Determine u so that -28*u**5/3 - 128*u**4/3 - 232*u**3/3 - 208*u**2/3 - 92*u/3 - 16/3 = 0.
-1, -4/7
Factor 3*z**2 + 237*z - 996.
3*(z - 4)*(z + 83)
Find o such that -22*o**3 - 1140*o**2 - 14664*o + 2704 = 0.
-26, 2/11
Factor 5*l**3 - 230*l**2 + 2645*l.
5*l*(l - 23)**2
Factor -7*f**3/4 + 79*f**2/4 - 37*f + 9.
-(f - 9)*(f - 2)*(7*f - 2)/4
Factor -4*a**3 + 72*a**2 - 132*a + 64.
-4*(a - 16)*(a - 1)**2
Let 3*c**5/2 + 9*c**4/2 - 3*c**3/2 - 9*c**2/2 = 0. Calculate c.
-3, -1, 0, 1
Determine t so that -t**3 - t**2/3 + 2*t/3 = 0.
-1, 0, 2/3
Solve 5*t**4/2 - 35*t**3 + 185*t**2/2 + 120*t - 450 = 0.
-2, 3, 10
Factor -4*i**2/7 + 560*i - 137200.
-4*(i - 490)**2/7
Find d such that 3*d**5 - 150*d**4 + 1359*d**3 + 13272*d**2 + 11760*d = 0.
-5, -1, 0, 28
Find x, given that 2*x**4/3 - 12*x**3 + 72*x**2 - 144*x = 0.
0, 6
Factor 2*t**3/9 + 34*t**2/9 + 6*t - 10.
2*(t - 1)*(t + 3)*(t + 15)/9
Factor -5*z**2/6 + 1900*z - 1083000.
-5*(z - 1140)**2/6
Solve -5*i**4/3 + 475*i**3/3 - 12395*i**2/3 + 17475*i - 13500 = 0.
1, 4, 45
Factor -3*x**2 + 330*x + 1368.
-3*(x - 114)*(x + 4)
Solve -v**4/6 - 19*v**3/6 - 97*v**2/6 - 15*v/2 + 27 = 0.
-9, -2, 1
Determine b, given that 2*b**2/9 + 646*b/9 + 1060/3 = 0.
-318, -5
Solve -10*h**3/7 - 22*h**2/7 + 76*h/7 + 16/7 = 0.
-4, -1/5, 2
Factor v**2 - 157*v + 156.
(v - 156)*(v - 1)
Factor -2*c**5/15 - 2*c**4/15 + 4*c**3/15.
-2*c**3*(c - 1)*(c + 2)/15
Suppose 2*p**4/7 - 1376*p**3/7 + 588*p**2 - 4112*p/7 + 1370/7 = 0. What is p?
1, 685
Find h, given that 7*h**4/2 - 61*h**3/2 - 42*h**2 + 774*h - 1080 = 0.
-5, 12/7, 6
Solve 2*i**5/9 + 2*i**4/9 - 4*i**3 - 56*i**2/9 + 112*i/9 + 64/3 = 0.
-3, -2, 2, 4
Factor -i**3 - 29*i**2 - 195*i + 225.
-(i - 1)*(i + 15)**2
Suppose -2*d**5/7 + 6*d**4/7 + 64*d**3/7 - 24*d**2/7 - 32*d = 0. Calculate d.
-4, -2, 0, 2, 7
Factor -j**5/3 - 109*j**4 - 9390*j**3 - 78714*j**2 - 230391*j - 227529.
-(j + 3)**3*(j + 159)**2/3
Factor -4*k**2/5 + 32*k/5 - 28/5.
-4*(k - 7)*(k - 1)/5
Find f such that f**5/2 + 3*f**4/2 - 4*f**3 - 12*f**2 + 8*f + 24 = 0.
-3, -2, 2
Determine r so that 4*r**5/7 + 32*r**4/7 + 68*r**3/7 + 40*r**2/7 = 0.
-5, -2, -1, 0
Factor -2*k**3/5 + 10*k**2 - 286*k/5 - 338/5.
-2*(k - 13)**2*(k + 1)/5
Let -2*s**2/5 - 126*s/5 - 72 = 0. Calculate s.
-60, -3
Factor -5*f**2 + 250*f + 1995.
-5*(f - 57)*(f + 7)
Suppose -t**5 - 26*t**4 + 28*t**3 + 26*t**2 - 27*t = 0. Calculate t.
-27, -1, 0, 1
Factor 2*f**2/5 + 92*f/5.
2*f*(f + 46)/5
Solve -2*h**4 + 56*h**3 - 488*h**2 + 1344*h - 1152 = 0.
2, 12
Solve 10*k**2 + 185*k/2 + 195 = 0 for k.
-6, -13/4
Find a such that -75*a**5/2 - 180*a**4 - 126*a**3 - 24*a**2 = 0.
-4, -2/5, 0
Suppose 6*j**4 + 16*j**3 - 16*j**2/3 - 64*j/3 + 32/3 = 0. Calculate j.
-2, 2/3
Solve -5*f**3/2 + 135*f**2/2 - 600*f + 1750 = 0 for f.
7, 10
Suppose q**3/9 + 2*q**2/3 - 17*q/3 + 44/9 = 0. What is q?
-11, 1, 4
Factor -s**2/4 + 1/4.
-(s - 1)*(s + 1)/4
Solve 3*h**4 - 12*h**3 - 3*h**2 + 12*h = 0.
-1, 0, 1, 4
Determine z so that 2*z**4/11 - 8*z**3/11 + 10*z**2/11 - 4*z/11 = 0.
0, 1, 2
Factor 5*x**2 + 30*x.
5*x*(x + 6)
Solve -18*u**2 - 33*u + 6 = 0.
-2, 1/6
Find f such that -3*f**5/5 - 31*f**4/5 - 97*f**3/5 - 25*f**2 - 68*f/5 - 12/5 = 0.
-6, -2, -1, -1/3
Find s, given that -8*s**5/7 + 118*s**4/7 - 498*s**3/7 + 508*s**2/7 + 160*s/7 = 0.
-1/4, 0, 2, 5, 8
Factor -40*s**2/17 + 46*s/17 - 12/17.
-2*(4*s - 3)*(5*s - 2)/17
Let -7*h**4 - 51*h**3 - 63*h**2 + 91*h + 30 = 0. What is h?
-5, -3, -2/7, 1
Determine p, given that 2*p**3/23 - 16*p**2/23 - 18*p/23 + 144/23 = 0.
-3, 3, 8
Factor -3*o**3 - 180*o**2 + 369*o - 186.
-3*(o - 1)**2*(o + 62)
Find h, given that 2*h**2/15 - 776*h/15 + 75272/15 = 0.
194
Factor -v**4 - 3*v**3 + 24*v**2 - 28*v.
-v*(v - 2)**2*(v + 7)
Factor 2*r**2/3 - 286*r/3 + 5900/3.
2*(r - 118)*(r - 25)/3
Factor -3*o**3 + 3165*o**2 - 6321*o + 3159.
-3*(o - 1053)*(o - 1)**2
Factor -u**4/6 - 2*u**3 - 3*u**2 + 70*u/3 + 49/2.
-(u - 3)*(u + 1)*(u + 7)**2/6
Let -44*z**2 - 5096*z + 928 = 0. Calculate z.
-116, 2/11
Factor a**3/5 - 3434*a**2/5 + 2948089*a/5.
a*(a - 1717)**2/5
Solve -2*n**3/7 - 8*n**2 - 274*n/7 - 220/7 = 0 for n.
-22, -5, -1
Suppose -5*s**5 - 102*s**4 - 185*s**3 + 552*s**2 - 116*s - 144 = 0. What is s?
-18, -4, -2/5, 1
Suppose 12*d**4 - 2332*d**3 + 3092*d**2 - 772*d = 0. Calculate d.
0, 1/3, 1, 193
Solve -2*u**5 - 26*u**4 + 36*u**3 + 104*u**2 - 112*u = 0.
-14, -2, 0, 1, 2
Find o, given that -o**3 - 4*o**2 - 5*o - 2 = 0.
-2, -1
Factor s**4 + 7*s**3.
s**3*(s + 7)
Factor -2*m**3/5 - 4*m**2/5 + 32*m/5 + 64/5.
-2*(m - 4)*(m + 2)*(m + 4)/5
Solve -47*x**5/3 + 109*x**4 + 14*x**3/3 = 0 for x.
-2/47, 0, 7
Solve -9*u**5/2 + 30*u**4 + 29*u**3/2 - 26*u**2 - 14*u = 0 for u.
-2/3, 0, 1, 7
Solve 10*l**5 - 12*l**4 - 22*l**3 = 0 for l.
-1, 0, 11/5
Determine b, given that 5*b**4 + 10*b**3 - 15*b**2 - 40*b - 20 = 0.
-2, -1, 2
Factor -5*w**4 + 55*w**3 - 140*w**2.
-5*w**2*(w - 7)*(w - 4)
Determine n, given that -128*n**3/11 - 288*n**2/11 - 162*n/11 = 0.
-9/8, 0
Suppose f**5/2 - 13*f**4 + 54*f**3 + 405*f**2 + 675*f/2 = 0. Calculate f.
-3, -1, 0, 15
Suppose 3*q**2/2 + 102*q + 1734 = 0. What is q?
-34
Suppose q**2/7 + 221*q/7 - 222/7 = 0. Calculate q.
-222, 1
Let -8*v**4/21 - 80*v**3/21 - 38*v**2/3 - 122*v/7 - 60/7 = 0. Calculate v.
-5, -2, -3/2
Solve -v**4/8 + 9*v**3/8 - 7*v**2/2 + 9*v/2 - 2 = 0 for v.
1, 2, 4
Find n such that -14*n**5/15 - 248*n**4/15 - 7