t - 5)*(3*t + 2)/5
Find x, given that 2*x**4/3 - 83*x**3/6 + 105*x**2/2 - 86*x/3 - 32/3 = 0.
-1/4, 1, 4, 16
Factor -2*k**3/15 + 68*k**2/15 + 104*k/3 - 8112/5.
-2*(k - 26)**2*(k + 18)/15
Factor -2*h**2/5 + 22*h/5 - 48/5.
-2*(h - 8)*(h - 3)/5
Suppose 2*f**3 - 16*f**2 - 88*f - 96 = 0. What is f?
-2, 12
What is v in 2*v**2/3 - 68*v + 202/3 = 0?
1, 101
Find p, given that p**3/3 + 10*p**2/3 - 103*p/3 - 112/3 = 0.
-16, -1, 7
Factor 2*k**2/7 - 796*k/7 + 79202/7.
2*(k - 199)**2/7
Factor -21*a**2/4 + 3*a/4.
-3*a*(7*a - 1)/4
Factor 5*u**3 - 100*u**2 - 365*u + 460.
5*(u - 23)*(u - 1)*(u + 4)
Let 112*i**4/9 + 74*i**3/3 - 4*i**2/9 = 0. What is i?
-2, 0, 1/56
Suppose 3*m**3 - 6*m**2 - 3*m + 6 = 0. What is m?
-1, 1, 2
Factor -j**2/5 + 4*j/5 + 32/5.
-(j - 8)*(j + 4)/5
Let 4*y**4 - 560*y**3 + 1656*y**2 - 1648*y + 548 = 0. Calculate y.
1, 137
Factor -u**2/3 + 103*u/3 - 34.
-(u - 102)*(u - 1)/3
Factor -2*a**2/3 - 50*a.
-2*a*(a + 75)/3
Determine k, given that -4*k**2 - 532*k - 3528 = 0.
-126, -7
Factor p**2 + 32*p - 144.
(p - 4)*(p + 36)
Factor -2*x**2/15 + 158*x/15 + 32/3.
-2*(x - 80)*(x + 1)/15
Let -w**5/2 + 11*w**4 - 84*w**3 + 245*w**2 - 343*w/2 = 0. What is w?
0, 1, 7
Find t such that 11*t**4/2 + 71*t**3/4 + 3*t**2 - 9*t/4 = 0.
-3, -1/2, 0, 3/11
Factor 2*o**3/11 + 24*o**2/11 + 72*o/11.
2*o*(o + 6)**2/11
What is n in 6*n**4 + 2*n**3 - 20*n**2 - 16*n = 0?
-4/3, -1, 0, 2
Factor 3*v**4/4 - 3*v**3 - 9*v**2/4 + 15*v/2 + 6.
3*(v - 4)*(v - 2)*(v + 1)**2/4
Factor -3*x**4/5 - 42*x**3/5 - 72*x**2/5.
-3*x**2*(x + 2)*(x + 12)/5
Suppose -14*j**5 + 60*j**4 + 1006*j**3 - 5388*j**2 + 5488*j - 1152 = 0. What is j?
-9, 2/7, 1, 4, 8
Determine y so that -3*y**4/4 - 9*y**3 - 39*y**2/2 + 9*y + 81/4 = 0.
-9, -3, -1, 1
Factor 25*f**3 - 42270*f**2 + 33804*f - 6760.
(f - 1690)*(5*f - 2)**2
Find r, given that -2*r**5/11 - 2*r**4/11 + 12*r**3/11 + 8*r**2/11 - 16*r/11 = 0.
-2, 0, 1, 2
Find d, given that -2*d**2 - 14*d - 12 = 0.
-6, -1
Solve -250*n**4/13 + 550*n**3/13 + 630*n**2/13 - 54*n/13 - 108/13 = 0 for n.
-3/5, 2/5, 3
Determine i so that 2*i**5/15 + 106*i**4/15 - 114*i**3/5 - 314*i**2/15 + 244*i/3 - 224/5 = 0.
-56, -2, 1, 3
Determine w so that -w**4/2 - 27*w**3/2 - 25*w**2/2 + 27*w/2 + 13 = 0.
-26, -1, 1
Factor 98*s**4/15 - 658*s**3/15 + 304*s**2/5 - 24*s.
2*s*(s - 5)*(7*s - 6)**2/15
What is r in -10*r**2 + 8*r + 114 = 0?
-3, 19/5
Factor -a**2 + 4774*a - 5697769.
-(a - 2387)**2
Suppose -2*p**2/9 - 1240*p/9 = 0. What is p?
-620, 0
Factor -a**3/7 - 4*a**2 - 256*a/7 - 768/7.
-(a + 8)**2*(a + 12)/7
Factor r**4 - 13*r**3/2 + 5*r**2/2 + 3*r.
r*(r - 6)*(r - 1)*(2*r + 1)/2
Determine s so that 3*s**3/5 - 6*s**2/5 - 3*s/5 + 6/5 = 0.
-1, 1, 2
Find n such that n**5 + 22*n**4 + 20*n**3 - 22*n**2 - 21*n = 0.
-21, -1, 0, 1
Factor b**3 + 22*b**2 + 41*b + 20.
(b + 1)**2*(b + 20)
Factor -12*i**4 + 39*i**3 + 327*i**2 - 84*i.
-3*i*(i - 7)*(i + 4)*(4*i - 1)
Find x such that -4*x**2 - 14888*x - 13853284 = 0.
-1861
What is u in 2*u**5/3 + 84*u**4 + 8888*u**3/3 + 20068*u**2 + 135110*u/3 + 27848 = 0?
-59, -4, -3, -1
Find g such that -453*g**2/2 - 680*g/3 - 1/6 = 0.
-1, -1/1359
What is m in 2*m**5 + 1166*m**4 + 225812*m**3 + 14374620*m**2 - 29431350*m + 14829750 = 0?
-195, 1
Determine d, given that 2*d**5 + 40*d**4 + 264*d**3 + 640*d**2 + 512*d = 0.
-8, -2, 0
Find y, given that -5*y**3 - 260*y**2 - 2800*y + 15680 = 0.
-28, 4
What is f in -5*f**4/2 - 3*f**3/2 + f**2 = 0?
-1, 0, 2/5
What is j in -2*j**3/13 + 8*j**2 - 294*j/13 = 0?
0, 3, 49
Factor -k**3 - 7*k**2 + 8*k.
-k*(k - 1)*(k + 8)
Suppose -2*k**2/9 + 4*k/3 = 0. Calculate k.
0, 6
Factor -l**2 + 232*l/5 - 63.
-(l - 45)*(5*l - 7)/5
Suppose u**4/3 - u**3/3 - u**2/3 + u/3 = 0. Calculate u.
-1, 0, 1
Factor -j**4/5 + 22*j**3/5 + 73*j**2/5 + 10*j.
-j*(j - 25)*(j + 1)*(j + 2)/5
Solve w**4/3 - 5*w**3/3 = 0.
0, 5
Let 4*s**3 - 152*s**2 + 1700*s - 4624 = 0. What is s?
4, 17
Determine q so that 15*q**4 - 103*q**3/3 - 26*q**2/3 + 124*q/3 - 40/3 = 0.
-10/9, 2/5, 1, 2
Determine r, given that r**5/9 + r**4/3 + 2*r**3/9 - 2*r**2/9 - r/3 - 1/9 = 0.
-1, 1
Find q, given that -5*q**3 + 35*q**2 + 5*q - 35 = 0.
-1, 1, 7
Determine m so that -m**3/4 - m**2/2 + m/4 + 1/2 = 0.
-2, -1, 1
Factor 30*c**3 - 25*c**2 - 5*c.
5*c*(c - 1)*(6*c + 1)
Solve -p**5/4 + 9*p**4/4 + 7*p**3/2 - 9*p**2 - 10*p = 0 for p.
-2, -1, 0, 2, 10
What is b in -b**3/2 + 217*b**2/2 + 437*b/2 + 219/2 = 0?
-1, 219
Solve 2*c**4 + 496*c**3 + 32204*c**2 + 180048*c + 263538 = 0 for c.
-121, -3
Find c, given that -2*c**2 - 4*c + 126 = 0.
-9, 7
Factor 2*i**4/3 + 26*i**3/3 + 82*i**2/3 + 94*i/3 + 12.
2*(i + 1)**2*(i + 2)*(i + 9)/3
Find c such that 5*c**2 - 410*c - 415 = 0.
-1, 83
Factor 5*u**4 - 20*u**3 - 5*u**2 + 20*u.
5*u*(u - 4)*(u - 1)*(u + 1)
Factor 3*l**2 + 12*l + 9.
3*(l + 1)*(l + 3)
What is f in 5*f**3 + 465*f**2 + 11040*f + 10580 = 0?
-46, -1
Solve 3*u**5 + 14*u**4 - 24*u**3 = 0.
-6, 0, 4/3
Let -12*l**4 - 324*l**3 + 1053*l**2 - 810*l = 0. What is l?
-30, 0, 3/2
What is q in -2*q**4 + 386*q**3 - 762*q**2 - 386*q + 764 = 0?
-1, 1, 2, 191
Factor 81*s**2/4 - 3*s/4.
3*s*(27*s - 1)/4
Determine i so that -486*i**5/11 + 74574*i**4/11 - 106944*i**3/11 + 36504*i**2/11 - 3648*i/11 = 0.
0, 2/9, 1, 152
Suppose -3*o**5/2 - 9*o**4 + 597*o**3/2 - 1314*o**2 + 1026*o = 0. Calculate o.
-19, 0, 1, 6
Factor 2*m**4/7 + 58*m**3/7 + 206*m**2/7 + 150*m/7.
2*m*(m + 1)*(m + 3)*(m + 25)/7
Factor 2*z**2/7 + 194*z/7.
2*z*(z + 97)/7
Let -2*p**2/5 - 14*p/5 + 24 = 0. Calculate p.
-12, 5
Suppose 5*h**4 - 259*h**3 - 56*h**2 + 208*h = 0. What is h?
-1, 0, 4/5, 52
Solve -3*b**3 + 156*b**2 - 291*b - 450 = 0 for b.
-1, 3, 50
Factor 3*f**3 - 69*f**2 - 174*f + 600.
3*(f - 25)*(f - 2)*(f + 4)
Solve -3*h**5 + 486*h**4 - 20157*h**3 + 37914*h**2 + 20160*h - 38400 = 0 for h.
-1, 1, 2, 80
Determine t so that -2*t**2 + 90*t - 252 = 0.
3, 42
Suppose 22*z**4 - 200*z**3 + 348*z**2 + 520*z - 50 = 0. What is z?
-1, 1/11, 5
Factor 2*i**3/15 + 68*i**2/15 + 578*i/15.
2*i*(i + 17)**2/15
Factor -2*c**3/5 + 66*c**2/5 - 432*c/5 - 1944/5.
-2*(c - 18)**2*(c + 3)/5
Let -27225*h**5/4 - 54285*h**4/2 - 67403*h**3/2 - 13201*h**2 + 655*h/4 - 1/2 = 0. What is h?
-2, -1, 1/165
Factor -3*n**3/7 + 9*n**2/7 + 72*n/7 + 12.
-3*(n - 7)*(n + 2)**2/7
Factor 5*n**2 - 60*n - 1440.
5*(n - 24)*(n + 12)
Find k such that k**5 + 4*k**4 - 10*k**2 - k + 6 = 0.
-3, -2, -1, 1
Find s such that -s**3 + 83*s**2 + 3424*s + 29440 = 0.
-16, 115
Factor -b**3 - 12*b**2 - 35*b.
-b*(b + 5)*(b + 7)
Determine d so that -2*d**5 + 4*d**4/3 + 92*d**3/3 - 32*d**2/3 - 98*d - 60 = 0.
-10/3, -1, 3
Let -l**2 + 1826*l + 1827 = 0. What is l?
-1, 1827
Factor -3*v**3/5 - 24*v**2 - 507*v/5 + 126.
-3*(v - 1)*(v + 6)*(v + 35)/5
Determine a so that 361*a**2/3 - 684*a + 972 = 0.
54/19
Determine s so that 24*s**3 + 76*s**2 - 84*s - 16 = 0.
-4, -1/6, 1
Find q such that -4*q**2 + 56*q = 0.
0, 14
Determine f so that -f**3 - 2*f**2 + 89*f + 90 = 0.
-10, -1, 9
Determine m, given that -m**3/9 - 1604*m**2/9 - 6404*m/9 - 6400/9 = 0.
-1600, -2
Factor -b**4/4 - 43*b**3/4 - 483*b**2/4 - 441*b/4.
-b*(b + 1)*(b + 21)**2/4
Factor -i**5 + 117*i**4 - 3243*i**3 - 10441*i**2 - 10680*i - 3600.
-(i - 60)**2*(i + 1)**3
Factor 5*m**2 + 2000*m + 3980.
5*(m + 2)*(m + 398)
Let 4*h**2/5 + 156*h/5 - 32 = 0. What is h?
-40, 1
Let 3*x**4/4 + 27*x**3/8 + 21*x**2/8 - 27*x/8 - 27/8 = 0. What is x?
-3, -3/2, -1, 1
Solve 357*k**3 - 113*k**2 - 2*k = 0 for k.
-2/119, 0, 1/3
Determine g so that 2*g**3 - 216*g + 864 = 0.
-12, 6
Let r**5 + 17*r**4 - 41*r**3 - 57*r**2 = 0. What is r?
-19, -1, 0, 3
Suppose 2*z**5/3 - 12*z**4 + 208*z**3/3 - 356*z**2/3 - 70*z + 392/3 = 0. Calculate z.
-1, 1, 4, 7
Let 7*a**3/6 - 169*a**2/3 - 680*a/3 + 208/3 = 0. Calculate a.
-4, 2/7, 52
Determine b so that -3*b**3/7 - 30*b**2/7 - 69*b/7 - 6 = 0.
-7, -2, -1
Suppose -6*d**3/7 - 279*d**2/7 + 144*d/7 + 141/7 = 0. Calculate d.
-47, -1/2, 1
Factor -2*m**2 + 15*m/2 + 2.
-(m - 4)*(4*m + 1)/2
Factor -i**3/2 - 2*i**2 + 21*i/2.
-i*(i - 3)*(i + 7)/2
Factor -5*f**4 - 70*f**3 + 175*f**2 + 240*f.
-5*f*(f - 3)*(f + 1)*(f + 16)
Factor -4*s**2 - 3088*s - 595984.
-4*(s + 386)**2
Factor -4*u**2 - 428*u + 4680.
-4*(u - 10)*(u + 117)
Determine s so that 8*s**5/9 - 8*s**4/3 - 2*s**3/9 + 38*s**2/9 - 8/9 = 0.
-1, -1/2, 1/2, 2
Solve -5*i**3 - 25*i**2 + 45*i + 225 = 0 for i.
-5, -3, 3
Factor -2*g**2/11 + 2334*g/11