i**4 + 1500*i**3 + 8900*i**2 + 26000*i + 30000.
4*(i + 5)**3*(i + 6)*(i + 10)
Factor -120*d**2 - 157*d/2 + 1.
-(3*d + 2)*(80*d - 1)/2
Factor -2*k**2 + 56*k - 384.
-2*(k - 16)*(k - 12)
Find k such that -1682*k**5/11 - 412322*k**4/11 - 875982*k**3/11 - 523670*k**2/11 - 60272*k/11 - 1944/11 = 0.
-243, -1, -2/29
Find j, given that 2*j**3 + 322*j**2 - 2672*j + 5408 = 0.
-169, 4
Let -3*y**5/8 - 3*y**4/8 + 21*y**3/8 + 3*y**2/8 - 9*y/4 = 0. What is y?
-3, -1, 0, 1, 2
Factor 5*j**3 + 105*j**2 - 110*j.
5*j*(j - 1)*(j + 22)
Factor 21*b**2/2 + 39*b/2 - 3.
3*(b + 2)*(7*b - 1)/2
Factor -2*h**2/9 + 50*h/9 + 12.
-2*(h - 27)*(h + 2)/9
Factor -5*i**4 + 100*i**3 - 90*i**2 - 100*i + 95.
-5*(i - 19)*(i - 1)**2*(i + 1)
Solve -2*b**2/7 + 158*b/7 - 456/7 = 0 for b.
3, 76
Factor q**4/4 + 3*q**3/4 - 5*q**2/4 - 3*q/4 + 1.
(q - 1)**2*(q + 1)*(q + 4)/4
Let -2*z**2/3 + 16*z/3 + 40/3 = 0. Calculate z.
-2, 10
Suppose 152*j**5 - 464*j**4 + 518*j**3 - 254*j**2 + 50*j - 2 = 0. What is j?
1/19, 1/2, 1
Find b, given that 4*b**5 + 300*b**4 + 5160*b**3 - 17320*b**2 + 17940*b - 6084 = 0.
-39, 1
Factor 98*r**2/9 - 364*r/9 + 338/9.
2*(7*r - 13)**2/9
Suppose -5*i**5/3 + 22*i**4/3 - i**3 - 22*i**2/3 + 8*i/3 = 0. What is i?
-1, 0, 2/5, 1, 4
Factor 288*j**2 + 912*j + 722.
2*(12*j + 19)**2
Determine s, given that -8*s**2 + 3222*s + 806 = 0.
-1/4, 403
Let -5*k**4 - 15*k**3 + 90*k**2 - 20*k - 120 = 0. Calculate k.
-6, -1, 2
Let 9*i**4 + 43*i**3 + 13*i**2/3 - 43*i - 40/3 = 0. What is i?
-40/9, -1, -1/3, 1
Determine j so that -j**4 - 11*j**3 - 26*j**2 - 16*j = 0.
-8, -2, -1, 0
Let -6*g**3 - 129*g**2 - 294*g - 171 = 0. What is g?
-19, -3/2, -1
Suppose -2*l**3/11 + 50*l**2/11 + 52*l/11 = 0. Calculate l.
-1, 0, 26
Determine i, given that -4*i**4 - 172*i**3 - 332*i**2 - 164*i = 0.
-41, -1, 0
Determine d so that -2*d**4/3 - 104*d**3/3 + 232*d**2 = 0.
-58, 0, 6
Solve -a**2 - 216*a - 11664 = 0 for a.
-108
What is u in 9*u**4 + 78*u**3 + 72*u**2 - 222*u + 63 = 0?
-7, -3, 1/3, 1
Determine q so that q**3 + 33*q**2 + 59*q - 93 = 0.
-31, -3, 1
Solve 9*j**5/5 - 6159*j**4/5 + 1048518*j**3/5 + 1787382*j**2/5 - 3888591*j/5 + 1058841/5 = 0 for j.
-3, 1/3, 1, 343
Factor 134*n**3/3 + 530*n**2/3 + 512*n/3 - 8.
2*(n + 2)**2*(67*n - 3)/3
Let -2*w**4/7 + 6*w**3 + 202*w**2/7 - 6*w - 200/7 = 0. Calculate w.
-4, -1, 1, 25
Factor -h**4 + 48*h**3 + 51*h**2 - 98*h.
-h*(h - 49)*(h - 1)*(h + 2)
Suppose 385875*t**3 + 11025*t**2 + 105*t + 1/3 = 0. Calculate t.
-1/105
Factor s**5 - 6*s**4 + 13*s**3 - 12*s**2 + 4*s.
s*(s - 2)**2*(s - 1)**2
Factor -2*p**3/5 + 44*p**2 + 446*p/5 + 224/5.
-2*(p - 112)*(p + 1)**2/5
Solve 4*s**2/5 - 12*s/5 + 8/5 = 0 for s.
1, 2
Let 2*m**2/3 + 28*m/15 - 2/5 = 0. What is m?
-3, 1/5
Suppose -3*o**3 + 288*o**2 - 7695*o + 36450 = 0. Calculate o.
6, 45
Factor 2*q**2 - 10*q.
2*q*(q - 5)
Let 2*i**3 - 120*i**2 + 1714*i + 1836 = 0. What is i?
-1, 27, 34
Factor -v**3 - 62*v**2/3 - 40*v/3.
-v*(v + 20)*(3*v + 2)/3
Factor 14*z**3 - 130*z**2 - 468*z + 144.
2*(z - 12)*(z + 3)*(7*z - 2)
Factor -2*i**2/9 + 134*i/3.
-2*i*(i - 201)/9
What is p in p**5 + 5*p**4 - 1503*p**3/4 + 2021*p**2 + 2305*p + 600 = 0?
-24, -1/2, 10
What is m in 4*m**5 - 56*m**4 + 212*m**3 - 160*m**2 = 0?
0, 1, 5, 8
Factor n**2/4 + 7*n/4.
n*(n + 7)/4
Determine t, given that t**4/7 - 3*t**3/7 + 2*t**2/7 = 0.
0, 1, 2
Determine g, given that -3*g**2/7 + 9*g/7 + 30 = 0.
-7, 10
Factor -183*o**2 + 2922*o + 96.
-3*(o - 16)*(61*o + 2)
Determine c so that -4*c**5/9 - 16*c**4 + 52*c**3/3 + 296*c**2/9 = 0.
-37, -1, 0, 2
Determine p, given that p**3/4 - 123*p**2/4 + 3843*p/4 - 3721/4 = 0.
1, 61
Determine y so that -3*y**4 + 9*y**3 - 6*y**2 = 0.
0, 1, 2
Factor 3*j**2 - 123*j - 126.
3*(j - 42)*(j + 1)
Factor -15*c**3 + 6*c**2.
-3*c**2*(5*c - 2)
Suppose -17*i**4/3 - 44*i**3 - 308*i**2/3 - 64*i + 64/3 = 0. Calculate i.
-4, -2, 4/17
Factor 2*n**4 - 6*n**3 - 8*n**2 + 24*n.
2*n*(n - 3)*(n - 2)*(n + 2)
Factor 3*p**2/4 - 12*p + 117/4.
3*(p - 13)*(p - 3)/4
Determine r so that -8*r**5/3 + 22*r**4/3 - 6*r**3 + 2*r**2/3 + 2*r/3 = 0.
-1/4, 0, 1
Suppose -5*i**3 - 110*i**2 - 75*i + 630 = 0. Calculate i.
-21, -3, 2
Let 3*b**2 - 12 = 0. Calculate b.
-2, 2
Find n such that 70*n**5 - 414*n**4 + 520*n**3 + 72*n**2 - 32*n = 0.
-2/7, 0, 1/5, 2, 4
Factor -8*t**3/9 + 4*t**2/3 + 200*t/9 + 32/3.
-4*(t - 6)*(t + 4)*(2*t + 1)/9
Factor 5*d**2 - 80*d - 180.
5*(d - 18)*(d + 2)
Factor 5*w**3/2 - 125*w**2/2 + 280*w + 1470.
5*(w - 14)**2*(w + 3)/2
Determine n, given that n**5/4 + 96*n**4 + 9119*n**3 - 37441*n**2/2 - 36477*n/4 + 37249/2 = 0.
-193, -1, 1, 2
Factor j**3/5 - 3*j**2/5.
j**2*(j - 3)/5
Determine o so that -2*o**2 - 1424*o - 2840 = 0.
-710, -2
Find c, given that c**3/4 - 13*c**2/2 + 105*c/4 = 0.
0, 5, 21
Factor -3*g**5 - 45*g**4 - 117*g**3 - 111*g**2 - 36*g.
-3*g*(g + 1)**3*(g + 12)
Factor -4*c**5 - 1768*c**4 - 261072*c**3 - 12965400*c**2 - 12706092*c.
-4*c*(c + 1)*(c + 147)**3
Factor 2*i**2 + 36*i + 162.
2*(i + 9)**2
Solve -5*k**3 + 55*k**2 - 150*k = 0 for k.
0, 5, 6
Factor 5*f**5 + 15*f**4 - 120*f**3 - 680*f**2 - 1200*f - 720.
5*(f - 6)*(f + 2)**3*(f + 3)
Factor -2*o**3/21 - 394*o**2/21 + 132*o/7.
-2*o*(o - 1)*(o + 198)/21
Factor -2*j**4 - 20*j**3 - 26*j**2 + 120*j - 72.
-2*(j - 1)**2*(j + 6)**2
Determine g, given that 3*g**2 + 1848*g + 284592 = 0.
-308
Find g, given that g**5 - 2*g**4 - 6*g**3 + 8*g**2 + 5*g - 6 = 0.
-2, -1, 1, 3
Factor -2*i**3/5 + 56*i**2/5 - 106*i/5 + 52/5.
-2*(i - 26)*(i - 1)**2/5
Find g, given that 2*g**4/3 - 8*g**3/3 + 10*g**2/3 - 4*g/3 = 0.
0, 1, 2
Determine d so that d**2/2 - 6*d - 14 = 0.
-2, 14
Solve -7*r**5/6 + 19*r**4/6 + 52*r**3/3 - 154*r**2/3 + 64*r/3 + 32/3 = 0 for r.
-4, -2/7, 1, 2, 4
Solve -28*d**5 + 248*d**4 - 468*d**3 - 72*d**2 = 0.
-1/7, 0, 3, 6
Determine w so that 5*w**5 - 35*w**3 - 10*w**2 + 60*w + 40 = 0.
-2, -1, 2
Solve -2*y**2/5 + 2*y/5 = 0.
0, 1
Determine y, given that -2*y**5/9 - 50*y**4/3 - 1118*y**3/9 - 1046*y**2/3 - 3776*y/9 - 536/3 = 0.
-67, -3, -2, -1
Determine g so that 4*g**4/5 - 16*g**3/5 - 148*g**2/5 - 272*g/5 - 144/5 = 0.
-2, -1, 9
Factor -3*p**2 + 69*p - 126.
-3*(p - 21)*(p - 2)
What is o in -2*o**4 + 2106*o**3 + 4218*o**2 + 2110*o = 0?
-1, 0, 1055
Factor -t**2 + 35*t + 36.
-(t - 36)*(t + 1)
Factor -4*k**5 - 2800*k**4 - 651456*k**3 - 49937472*k**2 + 102503232*k.
-4*k*(k - 2)*(k + 234)**3
Factor 2*v**2/3 + 16*v + 190/3.
2*(v + 5)*(v + 19)/3
Solve -2*u**2/5 - 8*u/5 - 6/5 = 0.
-3, -1
Factor -n**4/2 + 49*n**3/2 + 153*n**2/2 + 155*n/2 + 26.
-(n - 52)*(n + 1)**3/2
Suppose 6889*o**5/4 - 7055*o**4/2 + 7557*o**3/4 - 85*o**2 + o = 0. Calculate o.
0, 2/83, 1
Factor 20*n**3 + 55*n**2 - 5*n - 70.
5*(n - 1)*(n + 2)*(4*n + 7)
Suppose n**3 - 141*n**2 + 6627*n - 103823 = 0. What is n?
47
Find n, given that -2*n**3/15 + 22*n**2/3 - 400*n/3 + 800 = 0.
15, 20
Factor -36*x**2 + 4556*x + 2032.
-4*(x - 127)*(9*x + 4)
Factor 3*h**4/7 + h**3 + h**2/7 - h - 4/7.
(h - 1)*(h + 1)**2*(3*h + 4)/7
Factor 4*d**2 - 860*d.
4*d*(d - 215)
Solve 2*f**3 + 246*f**2 + 7686*f + 7442 = 0 for f.
-61, -1
Factor -j**4 - 5*j**3/2 - 2*j**2 - j/2.
-j*(j + 1)**2*(2*j + 1)/2
Suppose -5*r**4 - 195*r**3 - 345*r**2 + 955*r + 1110 = 0. Calculate r.
-37, -3, -1, 2
Factor -9*t**3 + 84*t**2 + 276*t + 144.
-3*(t - 12)*(t + 2)*(3*t + 2)
Factor 17956*k**2 + 18760*k + 4900.
4*(67*k + 35)**2
Solve -l**2 - 622*l - 1857 = 0 for l.
-619, -3
Factor 5*f**2 - 340*f + 5780.
5*(f - 34)**2
Solve -2*m**2/3 + 32*m + 102 = 0 for m.
-3, 51
Factor -4*v**2 - 2172*v.
-4*v*(v + 543)
Let -2*z**3 - 122*z**2 + 2*z + 122 = 0. Calculate z.
-61, -1, 1
Factor 15*a**2 + 43647*a - 8730.
3*(a + 2910)*(5*a - 1)
Factor 3*g**3 + 12*g**2 - 12*g - 48.
3*(g - 2)*(g + 2)*(g + 4)
Find f such that -f**3/2 + 5*f**2/2 - f - 4 = 0.
-1, 2, 4
Factor -9*o**5 + 29*o**4 + 129*o**3 + 123*o**2 + 20*o - 12.
-(o - 6)*(o + 1)**3*(9*o - 2)
Factor h**2/3 + 992*h/3 + 246016/3.
(h + 496)**2/3
Factor 4*u**4 - 72*u**3 + 148*u**2 + 1584*u + 1936.
4*(u - 11)**2*(u + 2)**2
Solve -3*m**3/4 + 2103*m**2/4 - 92400*m + 91875 = 0 for m.
1, 350
Suppose -2*x**2/21 + 9500*x/21 - 11281250/21 = 0. Calculate x.
2375
Let -2*w**2/7 - 4*w/7 + 48/7 = 0. What is w?
-6, 4
Let -5*k**3 + 265*k**2 - 3080*k - 11760 = 0. What is k?
-3, 28
Factor -k**4/4 - 85*k**3/2 - 7225*k**2/4.
-k**2*(k + 85)**2/4
Solve 3*l**4/4 - 57*l**3 + 2049*l**2/2 + 2223*l + 4563/4 = 0.
-1, 39