*4 + 163*i**3 + 1374*i**2 + 704*i - 512.
(i + 1)*(i + 16)**2*(5*i - 2)
Factor y**3/4 - 17*y**2 - 69*y/4.
y*(y - 69)*(y + 1)/4
Factor m**4 - 2*m**3 + 2*m - 1.
(m - 1)**3*(m + 1)
Suppose 124*i**3/5 + 8*i**2/5 - 124*i/5 - 8/5 = 0. Calculate i.
-1, -2/31, 1
Factor 5*z**2 - 500*z.
5*z*(z - 100)
Suppose -o**2/3 + 3230*o/3 = 0. Calculate o.
0, 3230
Factor 3*y**3 + 174*y**2 - 744*y.
3*y*(y - 4)*(y + 62)
Solve -2*h**3 + 16*h**2 + 2*h - 16 = 0 for h.
-1, 1, 8
Solve 4*v**5 + 181*v**4 + 45*v**3 = 0.
-45, -1/4, 0
Solve -u**5 + 6*u**3 - 8*u**2 + 3*u = 0.
-3, 0, 1
Determine b, given that 25*b**3/2 - 190*b**2 + 429*b/2 - 63 = 0.
3/5, 14
Factor n**3 - 294*n**2 - 295*n.
n*(n - 295)*(n + 1)
Solve -4*u**5/7 - 12*u**4/7 + 20*u**3/7 + 12*u**2/7 - 16*u/7 = 0 for u.
-4, -1, 0, 1
Factor -y**3/5 - 22*y**2/5 - 161*y/5 - 392/5.
-(y + 7)**2*(y + 8)/5
Factor -4*h**2 - 1904*h - 226576.
-4*(h + 238)**2
Factor -4*n**3 - 16*n**2 + 20*n.
-4*n*(n - 1)*(n + 5)
Determine u, given that -4*u**2 - 1440*u - 1436 = 0.
-359, -1
Determine k, given that 14*k**5/5 - 228*k**4/5 - 174*k**3/5 + 68*k**2/5 = 0.
-1, 0, 2/7, 17
Suppose -2*g**5/9 + 82*g**4/9 - 20*g**3/3 - 784*g**2/9 - 640*g/9 = 0. Calculate g.
-2, -1, 0, 4, 40
Factor s**3/3 - 78*s**2 + 4563*s.
s*(s - 117)**2/3
Factor 16*y**3 - 528*y**2 - 1756*y + 1008.
4*(y - 36)*(2*y - 1)*(2*y + 7)
Factor 3*q**4 + 363*q**3 + 714*q**2.
3*q**2*(q + 2)*(q + 119)
Determine h so that -h**5 + 3*h**4 - 3*h**3 + h**2 = 0.
0, 1
Suppose -u**5/3 + 35*u**4/3 - 98*u**3/3 + 64*u**2/3 = 0. What is u?
0, 1, 2, 32
Factor -2*n**3/3 + 56*n**2/3 + 118*n/3 + 20.
-2*(n - 30)*(n + 1)**2/3
Factor -3*i**4 + 21*i**3 - 33*i**2 + 15*i.
-3*i*(i - 5)*(i - 1)**2
Solve -104*p**4 - 102*p**3 + 210*p**2 - 4*p = 0 for p.
-2, 0, 1/52, 1
Factor -4*u**3 - 1056*u**2 - 92928*u - 2725888.
-4*(u + 88)**3
Determine u, given that u**4/2 + 95*u**3/2 + 93*u**2/2 - 95*u/2 - 47 = 0.
-94, -1, 1
Let -20*b**4 + 1815*b**3 + 475*b**2 - 1815*b - 455 = 0. What is b?
-1, -1/4, 1, 91
Factor 3*i**2/2 + 3066*i + 6129/2.
3*(i + 1)*(i + 2043)/2
Factor -c**3 - 68*c**2 - 1421*c - 8410.
-(c + 10)*(c + 29)**2
Let -2*g**4 - 12*g**3 - 18*g**2 = 0. Calculate g.
-3, 0
Factor 2*c**3/7 - 94*c**2/7 - 2*c/7 + 94/7.
2*(c - 47)*(c - 1)*(c + 1)/7
Factor -5*f**4 + 35*f**3 - 80*f**2 + 60*f.
-5*f*(f - 3)*(f - 2)**2
Factor 3*j**3 - 18*j**2 + 33*j - 18.
3*(j - 3)*(j - 2)*(j - 1)
Suppose 4*k**3 - 32*k**2 + 20*k + 56 = 0. What is k?
-1, 2, 7
Solve 2*r**3/5 + 488*r**2/5 + 482*r/5 - 972/5 = 0 for r.
-243, -2, 1
Determine l so that 8*l**4/11 + 58*l**3/11 - 6*l**2 - 148*l/11 - 32/11 = 0.
-8, -1, -1/4, 2
Let -5*r**2 - 4230*r = 0. What is r?
-846, 0
Suppose 98*s**5/3 - 602*s**4 - 1448*s**3/3 + 7072*s**2/3 + 1408*s + 608/3 = 0. What is s?
-2, -2/7, 2, 19
Solve k**4 + 2343*k**3 + 1832220*k**2 + 480027600*k + 1423656000 = 0 for k.
-780, -3
Solve d**2/4 - 26*d + 1479/4 = 0 for d.
17, 87
Suppose -8*o**4/11 - 82*o**3/11 + 10636*o**2/11 - 116568*o/11 - 29808/11 = 0. What is o?
-46, -1/4, 18
Factor -u**2/5 + 6*u - 189/5.
-(u - 21)*(u - 9)/5
Factor 2*h**3/15 - 58*h**2/15 + 448*h/15 - 392/15.
2*(h - 14)**2*(h - 1)/15
Suppose 64*z**4/5 - 96*z**3/5 - 1404*z**2/5 + 216*z + 1620 = 0. What is z?
-3, 15/4
Factor b**2 + 46*b + 45.
(b + 1)*(b + 45)
Factor 11*c**3/2 - 21*c**2 - 63*c/2 - 5.
(c - 5)*(c + 1)*(11*c + 2)/2
Let -3*x**3/5 - 21*x**2/5 - 18*x/5 = 0. What is x?
-6, -1, 0
Factor -2*j**3/19 + 46*j**2/19 - 222*j/19 - 270/19.
-2*(j - 15)*(j - 9)*(j + 1)/19
Solve 3*x**3 - 48*x**2 + 207*x - 270 = 0.
3, 10
Determine g so that -5*g**2 - 164*g - 128 = 0.
-32, -4/5
Factor w**3/4 + 269*w**2/4 + 4556*w + 4489.
(w + 1)*(w + 134)**2/4
Find m such that 3*m**3 - 27*m**2 + 33*m + 63 = 0.
-1, 3, 7
Find z, given that 4*z**3 - 92*z**2 + 80*z + 176 = 0.
-1, 2, 22
Determine y, given that 2*y**5/13 + 10*y**4/13 - 42*y**3/13 + 46*y**2/13 - 16*y/13 = 0.
-8, 0, 1
Determine x, given that -4*x**3/9 - 610*x**2/9 - 2098*x/9 - 596/3 = 0.
-149, -2, -3/2
Determine t, given that -15*t**5 + 126*t**4 + 591*t**3 + 666*t**2 + 216*t = 0.
-2, -1, -3/5, 0, 12
Solve -3*o**4/5 - 126*o**3/5 + 2889*o**2/5 + 6144*o/5 + 3132/5 = 0 for o.
-58, -1, 18
Suppose 2*n**2/7 + 1068*n/7 - 1070/7 = 0. Calculate n.
-535, 1
Solve -5*x**2 + 1520*x - 115520 = 0.
152
Factor 2*n**5/13 - 2*n**4/13 - 10*n**3/13 - 6*n**2/13.
2*n**2*(n - 3)*(n + 1)**2/13
Solve -3*k**2 + 153*k - 1554 = 0.
14, 37
Factor 5*q**2 - 29925*q + 29920.
5*(q - 5984)*(q - 1)
Let 3*a**4 - 12*a**3 + 3*a**2 + 18*a = 0. What is a?
-1, 0, 2, 3
Let 3*v**2 + 14496*v + 17511168 = 0. What is v?
-2416
Factor -2*h**3/15 + 74*h**2/15 - 464*h/15.
-2*h*(h - 29)*(h - 8)/15
Let u**2/4 - 7*u/2 + 6 = 0. What is u?
2, 12
Solve -5*w**2/4 + 45*w/4 + 45 = 0.
-3, 12
Find t such that -3*t**3 + 15*t**2 - 9*t - 27 = 0.
-1, 3
Determine d, given that -d**4/2 - 5*d**3/2 + 9*d**2 + 10*d - 28 = 0.
-7, -2, 2
Factor -3*s**2 + 1224*s - 124848.
-3*(s - 204)**2
Let 2*a**5/11 - 2*a**4/11 - 6*a**3/11 + 2*a**2/11 + 4*a/11 = 0. Calculate a.
-1, 0, 1, 2
Find p such that 3*p**2/8 + 9*p/8 - 15/4 = 0.
-5, 2
Let -2*b**2 - 442*b + 892 = 0. What is b?
-223, 2
Solve 2*o**5 + 42*o**4/5 - 502*o**3/5 - 3202*o**2/5 - 924*o - 160 = 0 for o.
-5, -2, -1/5, 8
Factor o**4/6 + 61*o**3/2 - 187*o**2/3 - 122*o + 740/3.
(o - 2)**2*(o + 2)*(o + 185)/6
Factor 5*d**4 + 220*d**3 + 3120*d**2 + 14400*d.
5*d*(d + 12)**2*(d + 20)
What is v in -25*v**4 + 305*v**3 - 1130*v**2 + 1660*v - 840 = 0?
6/5, 2, 7
Let g**4/4 + 3*g**3/4 - g = 0. What is g?
-2, 0, 1
Factor 2*h**4 - 124*h**3 + 360*h**2 - 356*h + 118.
2*(h - 59)*(h - 1)**3
Find w, given that -4*w**5/5 + 6*w**4/5 + 52*w**3/5 - 8*w**2/5 - 144*w/5 - 64/5 = 0.
-2, -1/2, 2, 4
Suppose 196*c**3 - 450100*c**2 - 257248*c - 36752 = 0. What is c?
-2/7, 2297
Let -h**2/2 - 31*h + 63/2 = 0. What is h?
-63, 1
Find s such that -9*s**5 + 51*s**4 - 93*s**3 + 69*s**2 - 18*s = 0.
0, 2/3, 1, 3
Find y such that -36*y**3/7 - 1112*y**2 - 421632*y/7 - 93312/7 = 0.
-108, -2/9
Factor -z**2/6 - 9*z/2 + 140/3.
-(z - 8)*(z + 35)/6
Solve 5*f**2 - 85*f + 80 = 0.
1, 16
Factor -15*d**4 + 6*d**3.
-3*d**3*(5*d - 2)
What is h in 2*h**3 - 10*h**2 - 8*h + 40 = 0?
-2, 2, 5
Find j such that 5*j**5 + 45*j**4/4 - 5*j**3/2 - 45*j**2/4 - 5*j/2 = 0.
-2, -1, -1/4, 0, 1
Suppose -n**3/9 - n**2/9 + 10*n/9 - 8/9 = 0. Calculate n.
-4, 1, 2
Determine f so that -20*f**5 - 132*f**4 - 84*f**3 + 356*f**2 - 120*f = 0.
-5, -3, 0, 2/5, 1
Factor -3*z**2 + 5292*z.
-3*z*(z - 1764)
Factor -4*t**5 - 16*t**4 - 16*t**3 + 8*t**2 + 20*t + 8.
-4*(t - 1)*(t + 1)**3*(t + 2)
Determine l, given that -l**4/6 + 10*l**3/3 - 25*l**2/3 - 10*l/3 + 17/2 = 0.
-1, 1, 3, 17
Find l, given that -2*l**5/9 - 4*l**4/3 - 20*l**3/9 + 22*l/9 + 4/3 = 0.
-3, -2, -1, 1
Determine b, given that -b**2/2 - 23*b - 529/2 = 0.
-23
Factor -2*v**3/5 + 66*v**2/5 + 596*v/5 - 288.
-2*(v - 40)*(v - 2)*(v + 9)/5
Suppose 3*p**4 - 540*p**3 + 27786*p**2 - 313740*p + 1012683 = 0. Calculate p.
7, 83
Suppose m**4/2 + 107*m**3/2 - 231*m**2/2 - 1427*m/2 - 545 = 0. Calculate m.
-109, -2, -1, 5
Factor 4*c**5 + 9660*c**4 + 7766624*c**3 + 2071058912*c**2 - 6267688128*c + 4188852928.
4*(c - 2)*(c - 1)*(c + 806)**3
Determine v so that -2*v**2/5 + 1916*v/5 - 458882/5 = 0.
479
Suppose -4*d**2 + 1748*d + 5280 = 0. What is d?
-3, 440
Solve -4*r**4 + 60*r**3 + 36*r**2 - 540*r = 0 for r.
-3, 0, 3, 15
Factor 5*m**2 + 240*m - 1325.
5*(m - 5)*(m + 53)
Suppose 2*h**2/3 + 396*h + 58806 = 0. What is h?
-297
Find r such that 7*r**3/3 + 74*r**2 + 493*r - 4624/3 = 0.
-17, 16/7
Factor -m**2/3 - 86*m + 520/3.
-(m - 2)*(m + 260)/3
Factor -2*i**3 + 178*i**2 - 520*i + 344.
-2*(i - 86)*(i - 2)*(i - 1)
Suppose 3*z**2 + 1956*z + 318828 = 0. What is z?
-326
Find p, given that -2*p**2 - 270*p + 272 = 0.
-136, 1
Determine q so that 2*q**2/11 + 1192*q + 1953688 = 0.
-3278
Determine q, given that -2*q**5/3 - 4*q**4 + 14*q**3/3 = 0.
-7, 0, 1
Factor y**3/4 - 3*y**2/4.
y**2*(y - 3)/4
Factor 729*r**4/2 + 39123*r**3/2 + 311256*r**2 + 635008*r - 13629440.
(r - 5)*(9*r + 176)**3/2
Factor 2*k**3/11 - 818*k**2/11.
2*k**2*(k - 409)/11
Find y such that y**2/2 + 190*y + 18050 = 0.
-190
Find z such that -192*z**3 + 375*z**2 - 174*z - 9 = 0.
-3/64, 1
Factor 252050*b**3 - 1009620*b**2 + 5682*b - 8.
2*(b - 4)*(355*b - 1)**2
Factor -d**4 - 26*d**3 - 169*d**2.
-d**2*(d + 13)**2
Let -3*q**5/4 - 15*q**4/2 + 33*q**3/4 = 