0, 471
Suppose 48*k**4/7 - 148*k**3/7 - 60*k**2 - 200*k/7 = 0. What is k?
-5/4, -2/3, 0, 5
Find h, given that -2*h**5 + 12*h**4 - 26*h**3 + 24*h**2 - 8*h = 0.
0, 1, 2
Factor -3*r**3 - 39*r**2 - 168*r - 240.
-3*(r + 4)**2*(r + 5)
Factor 2*c**2/7 + 352*c/7 + 15488/7.
2*(c + 88)**2/7
Let g**4/3 - g**3/3 - 5*g**2/3 - g = 0. What is g?
-1, 0, 3
Let 2*a**3/11 - 60*a**2/11 + 546*a/11 - 1352/11 = 0. What is a?
4, 13
Determine c, given that -2*c**3 + 206*c - 396 = 0.
-11, 2, 9
Let 3*g**2/5 - 378*g/5 + 11907/5 = 0. Calculate g.
63
Suppose -3*f**2/7 + 12*f/7 = 0. What is f?
0, 4
Let -a**5/4 + 39*a**4/4 + 85*a**3/4 - 123*a**2/4 = 0. Calculate a.
-3, 0, 1, 41
Suppose 14*b**3/9 - 202*b**2/3 + 3280*b/9 - 296/3 = 0. Calculate b.
2/7, 6, 37
What is v in -3*v**3 + 9*v**2 - 12 = 0?
-1, 2
Determine z, given that -z**3/4 - 31*z**2/4 + 17*z/2 + 16 = 0.
-32, -1, 2
Factor n**2 + 6*n.
n*(n + 6)
Solve 2*u**4/11 - 120*u**3/11 + 340*u**2/11 + 120*u/11 - 342/11 = 0 for u.
-1, 1, 3, 57
Let -250*v**5 + 6550*v**4 - 1120*v**3 - 4784*v**2 + 2720*v - 416 = 0. What is v?
-1, 2/5, 26
What is k in 4*k**3 + 124*k**2 + 1216*k + 3840 = 0?
-15, -8
What is z in -21*z**5 + 43*z**4 + 145*z**3 - 427*z**2 + 272*z - 12 = 0?
-3, 1/21, 1, 2
Factor -3*d**5/5 + 78*d**4/5 - 84*d**3 - 1176*d**2/5.
-3*d**2*(d - 14)**2*(d + 2)/5
Factor -82*w**2 - 922*w - 220.
-2*(w + 11)*(41*w + 10)
Factor -2*t**4/13 + 12*t**3/13 - 2*t**2 + 24*t/13 - 8/13.
-2*(t - 2)**2*(t - 1)**2/13
Factor -j**2/11 + 12*j/11 + 13/11.
-(j - 13)*(j + 1)/11
Factor 2*v**5 - 32*v**4 + 148*v**3 - 208*v**2 + 90*v.
2*v*(v - 9)*(v - 5)*(v - 1)**2
Factor -n**2/7 - 1208*n/7 - 364816/7.
-(n + 604)**2/7
Solve -d**5/10 + 9*d**4/10 - 13*d**3/5 + 2*d**2 + 12*d/5 - 16/5 = 0.
-1, 2, 4
Factor 2*p**2 + 124*p - 3696.
2*(p - 22)*(p + 84)
Factor 4*p**3/5 - 471*p**2/5 + 162*p + 232/5.
(p - 116)*(p - 2)*(4*p + 1)/5
Determine z, given that -2*z**5/13 + 12*z**4/13 - 8*z**3/13 - 12*z**2/13 + 10*z/13 = 0.
-1, 0, 1, 5
Let 4*k**4 + 112*k**3 + 212*k**2 + 104*k = 0. Calculate k.
-26, -1, 0
Find l, given that -2*l**4 - 1164*l**3 + 1168*l**2 + 1164*l - 1166 = 0.
-583, -1, 1
Factor a**2/3 - 97*a/3 - 98/3.
(a - 98)*(a + 1)/3
Let 6*p**4 - 141*p**3 + 858*p**2 - 327*p - 396 = 0. What is p?
-1/2, 1, 11, 12
Factor p**4/5 - 89*p**3/5 - 3*p**2/5 + 53*p + 178/5.
(p - 89)*(p - 2)*(p + 1)**2/5
Solve 4*s**5 + 32*s**4 - 4*s**3 - 32*s**2 = 0.
-8, -1, 0, 1
Let -3*z**3/4 + 843*z**2/2 = 0. What is z?
0, 562
Factor 2*k**3 + 8*k**2/3 - 98*k/3 + 20.
2*(k - 3)*(k + 5)*(3*k - 2)/3
Solve -2*c**3/3 + 98*c**2/3 - 368*c/3 + 120 = 0.
2, 45
What is x in x**2/5 - 146*x/5 - 147/5 = 0?
-1, 147
Suppose -2*b**5/7 + 62*b**3/7 - 4*b**2/7 - 384*b/7 - 320/7 = 0. What is b?
-5, -2, -1, 4
Factor -2*u**4 - 4*u**3 + 96*u**2 - 252*u + 162.
-2*(u - 3)**2*(u - 1)*(u + 9)
Factor 2*d**2/3 + 40*d/3 - 46.
2*(d - 3)*(d + 23)/3
Suppose -i**2/3 - 79*i/3 - 100 = 0. Calculate i.
-75, -4
Factor 3*s**3 - 132*s**2 + 129*s.
3*s*(s - 43)*(s - 1)
Determine t so that 4*t**3 + 4*t**2 = 0.
-1, 0
Find d, given that 3*d**2 + 6*d - 45 = 0.
-5, 3
Let -n**3/2 + 5*n**2 - 33*n/2 + 18 = 0. What is n?
3, 4
Find q, given that 2*q**4/11 - 10*q**3/11 - 34*q**2/11 + 42*q/11 = 0.
-3, 0, 1, 7
Find g, given that g**5 + 57*g**4 + 782*g**3 - 898*g**2 - 783*g + 841 = 0.
-29, -1, 1
Factor 2*y**2 + 236*y + 6962.
2*(y + 59)**2
Suppose -5*k**5 + 45*k**4 + 105*k**3 + 55*k**2 = 0. Calculate k.
-1, 0, 11
Let k**4/4 - k**3/2 - 15*k**2/4 = 0. What is k?
-3, 0, 5
Factor 14*m**3 + 858*m**2 - 4376*m - 1320.
2*(m - 5)*(m + 66)*(7*m + 2)
Suppose 6*z**3/5 - 774*z**2 + 166410*z - 11926050 = 0. What is z?
215
Factor 5*g**2 + 195*g.
5*g*(g + 39)
Let 2*s**4 + 24*s**3 + 20*s**2 - 24*s - 22 = 0. What is s?
-11, -1, 1
Find t such that -5*t**3 - 45*t**2 - 75*t - 35 = 0.
-7, -1
Suppose 16*a**5/3 - 26*a**4/3 - 124*a**3/3 - 106*a**2/3 - 8*a = 0. What is a?
-1, -3/8, 0, 4
Factor 5*v**2 + 410*v - 840.
5*(v - 2)*(v + 84)
Solve m**2 + 2328*m + 1354896 = 0.
-1164
Determine z, given that z**4/3 + 2239*z**3/3 - z**2 - 6719*z/3 - 4478/3 = 0.
-2239, -1, 2
Factor -5*s**4 - 5*s**3 + 25*s**2 - 15*s.
-5*s*(s - 1)**2*(s + 3)
Factor 3*z**4 + 27*z**3 + 45*z**2 + 21*z.
3*z*(z + 1)**2*(z + 7)
Determine r so that 3*r**4/8 - 3*r**3/2 + 3*r**2/4 + 3*r/2 - 9/8 = 0.
-1, 1, 3
Suppose 14*t**4/9 + 256*t**3/9 - 194*t**2/9 - 76*t/9 = 0. Calculate t.
-19, -2/7, 0, 1
Determine u so that -3*u**4 - 33*u**3 + 333*u**2 - 783*u + 486 = 0.
-18, 1, 3
Suppose 3*r**3/4 + 9*r**2/2 - 21*r/4 = 0. Calculate r.
-7, 0, 1
Suppose 3*i**2/7 - 18*i/7 - 48/7 = 0. What is i?
-2, 8
Find y, given that -3*y**2 + 159*y + 162 = 0.
-1, 54
Let -5*z**2 + 505*z = 0. What is z?
0, 101
Factor -t**4/9 + t**3/3 + 16*t**2/9 + 4*t/3.
-t*(t - 6)*(t + 1)*(t + 2)/9
Factor 5*b**5/3 + 5*b**4/3 - 5*b**3/3 - 5*b**2/3.
5*b**2*(b - 1)*(b + 1)**2/3
Determine a, given that -10*a**4 - 125*a**3 - 420*a**2 - 180*a = 0.
-6, -1/2, 0
Solve -5*o**5 + 20*o**4 + 20*o**3 - 80*o**2 = 0.
-2, 0, 2, 4
Find q, given that -4*q**5 + 12*q**4 - 4*q**3 - 12*q**2 + 8*q = 0.
-1, 0, 1, 2
Determine b so that -756*b**3 - 2104*b**2 + 484*b - 24 = 0.
-3, 2/27, 1/7
Factor -2*u**4 - 10*u**3 - 16*u**2 - 8*u.
-2*u*(u + 1)*(u + 2)**2
Let -2*d**2/13 + 668*d/13 - 55778/13 = 0. Calculate d.
167
Factor -4*t**3 + 536*t**2 + 1636*t + 1096.
-4*(t - 137)*(t + 1)*(t + 2)
Solve k**4/5 - 2*k**3/5 - 3*k**2 = 0.
-3, 0, 5
Let -4*v**5 + 64*v**4/3 + 16*v**3 = 0. Calculate v.
-2/3, 0, 6
Solve -2*j**4/23 - 2*j**3/23 + 54*j**2/23 + 50*j/23 - 100/23 = 0 for j.
-5, -2, 1, 5
What is d in -28*d**2/13 + 6*d/13 = 0?
0, 3/14
Let 2*z**5/5 + 1926*z**4/5 - 11604*z**3/5 + 4648*z**2 - 15504*z/5 = 0. What is z?
-969, 0, 2
What is u in -u**4/3 + 232*u**3/3 - 12742*u**2/3 - 27608*u - 42483 = 0?
-3, 119
Factor -2*k**2/9 - 74*k/9 + 940/9.
-2*(k - 10)*(k + 47)/9
Factor 4*u**2/7 - 992*u/7 + 61504/7.
4*(u - 124)**2/7
Determine y so that 3*y**5/2 + y**4/2 - 9*y**3/2 + 3*y**2/2 + y = 0.
-2, -1/3, 0, 1
Find o, given that -2*o**5/13 + 8*o**4/13 + 24*o**3/13 + 4*o**2/13 - 22*o/13 - 12/13 = 0.
-1, 1, 6
Find i, given that 5*i**2 - 525*i - 1070 = 0.
-2, 107
Solve -10*h**3 + 156*h**2 + 318*h/5 + 32/5 = 0.
-1/5, 16
Factor -15*m**3 - 20*m**2 + 175*m + 60.
-5*(m - 3)*(m + 4)*(3*m + 1)
Factor -4*s**3 + 19212*s**2 - 23059200*s - 23078416.
-4*(s - 2402)**2*(s + 1)
Find q such that q**2/4 + 5*q/2 + 9/4 = 0.
-9, -1
Factor 5*v**3 + 6205*v**2 + 1928200*v + 1922000.
5*(v + 1)*(v + 620)**2
Factor 4*o**2 + 13200*o + 26384.
4*(o + 2)*(o + 3298)
Suppose 3*g**3 + 99*g**2 - 2160*g + 9408 = 0. What is g?
-49, 8
What is r in -2*r**2/11 + 42*r/11 + 260/11 = 0?
-5, 26
Let 3*q**2 - 207*q + 204 = 0. What is q?
1, 68
Find r, given that -2*r**3 - 24*r**2 - 10*r + 132 = 0.
-11, -3, 2
Let v**5/3 + 9*v**4 + 47*v**3/3 - 25*v**2 = 0. Calculate v.
-25, -3, 0, 1
Let 8*r**2/19 - 110*r/19 - 28/19 = 0. What is r?
-1/4, 14
Factor -15*c**3/2 - 4998*c**2 - 1667331*c/2 - 332667.
-3*(c + 333)**2*(5*c + 2)/2
Let -139*q**3/2 - 1111*q**2/4 + q = 0. What is q?
-4, 0, 1/278
Suppose 3*p**3 + 1545*p**2 + 195000*p - 1014000 = 0. Calculate p.
-260, 5
Factor 3*i**3 - 59*i**2/3 + 25*i - 25/3.
(i - 5)*(i - 1)*(9*i - 5)/3
Factor -441*n**5/4 + 15519*n**4/4 - 736*n**3 + 35*n**2.
-n**2*(n - 35)*(21*n - 2)**2/4
Factor 3*c**4 + 255*c**3 - 2184*c**2 + 4464*c.
3*c*(c - 4)**2*(c + 93)
Determine q, given that q**2/2 - 8*q + 32 = 0.
8
Solve -8*b**4 - 18*b**3 + 29*b**2 + 30*b - 9 = 0 for b.
-3, -1, 1/4, 3/2
Factor 2*a**3 + 10*a**2 - 28*a.
2*a*(a - 2)*(a + 7)
Let 5*j**5 + 105*j**4 + 370*j**3 + 530*j**2 + 345*j + 85 = 0. Calculate j.
-17, -1
Factor 3*a**2 + 5442*a + 5439.
3*(a + 1)*(a + 1813)
Factor -2*x**4/13 + 12*x**3/13 + 54*x**2/13.
-2*x**2*(x - 9)*(x + 3)/13
Determine k so that -k**5/6 - 4*k**4 - 67*k**3/2 - 355*k**2/3 - 186*k - 108 = 0.
-9, -2
Determine d, given that 5*d**4 - 15*d**3 + 10*d**2 = 0.
0, 1, 2
Solve 6*z**5/5 + 2*z**4 - 76*z**3/15 - 4*z**2/15 + 26*z/15 + 2/5 = 0.
-3, -1/3, 1
Factor -w**2/2 + 175*w - 30625/2.
-(w - 175)**2/2
Let -2*s**2/5 - 1944*s/5 = 0. Calculate s.
-972, 0
Factor -2*u**3/7 + 1328*u**2 - 10792650*u/7 - 21622500/7.
-2*(u - 2325)**2*(u + 2)/7
Factor 4*v**2/11 - 98*v/11 - 156/11.
2*(v - 26)*(2*v + 3)/11
Solve 5*n**4 - 10*n**3 - 5*n**2 + 10*n = 0 for n.
-1, 0, 1, 2
Factor -5*z**4 + 80*z**3 - 275*z**2 - 360*z.
-5*z*(z - 9)*(z - 8)*(z + 1)
Find m, given th