o - 11)*(o + 1)**2
Solve 50*c**3 - 17910*c**2 - 14352*c - 2872 = 0.
-2/5, 359
Suppose 20*s**4 - 92*s**3 - 972*s**2 - 1188*s + 1080 = 0. Calculate s.
-3, 3/5, 10
Solve 2*c**4/3 - 34*c**3/3 + 14*c**2/3 + 102*c - 96 = 0 for c.
-3, 1, 3, 16
Factor 4*z**3/7 - 4176*z**2/7.
4*z**2*(z - 1044)/7
Factor 841*x**3 - 2552*x**2 + 349*x/4 - 3/4.
(x - 3)*(58*x - 1)**2/4
Find a, given that -3*a**2 + 3318*a - 3315 = 0.
1, 1105
Factor 45*r**4/2 + 17310*r**3 + 3323515*r**2 - 2221450*r + 741125/2.
5*(r + 385)**2*(3*r - 1)**2/2
What is i in -i**4/4 - 3*i**3/2 + 6*i**2 - 13*i/2 + 9/4 = 0?
-9, 1
Solve 5*u**2 + 205*u - 210 = 0.
-42, 1
Let -18*c**4 - 96*c**3 - 134*c**2 - 16*c + 24 = 0. What is c?
-3, -2, -2/3, 1/3
Solve -5*i**2 - 75*i - 70 = 0.
-14, -1
Solve 2*c**3/15 - 2*c**2/3 - 22*c/5 - 18/5 = 0 for c.
-3, -1, 9
Factor -320*b**3 - 80*b**2 + 2035*b - 1815.
-5*(b + 3)*(8*b - 11)**2
Solve -y**4 - 7*y**3 - 17*y**2 - 17*y - 6 = 0.
-3, -2, -1
Determine c, given that c**2/4 - 71*c/2 + 5041/4 = 0.
71
Factor -q**2 - q + 110.
-(q - 10)*(q + 11)
Factor -2*f**3/9 + 4*f**2 - 24*f + 48.
-2*(f - 6)**3/9
Factor 5*a**4 + 30*a**3 - 95*a**2 - 120*a.
5*a*(a - 3)*(a + 1)*(a + 8)
Factor -2*j**3 - 18*j**2.
-2*j**2*(j + 9)
Factor -g**2/4 - g + 3.
-(g - 2)*(g + 6)/4
Factor -25*m**3 - 260*m**2 - 725*m - 250.
-5*(m + 5)**2*(5*m + 2)
Suppose -d**3 - 11*d**2 - 19*d - 9 = 0. What is d?
-9, -1
Factor 35*h**3 + 410*h**2 - 17375*h + 4930.
5*(h - 17)*(h + 29)*(7*h - 2)
Factor -p**5 + 11*p**4/2 + 13*p**3/2.
-p**3*(p + 1)*(2*p - 13)/2
Find r such that 4*r**5 - 40*r**4 + 132*r**3 - 144*r**2 = 0.
0, 3, 4
Factor -36*c**3 + 1124*c**2 + 904*c - 256.
-4*(c - 32)*(c + 1)*(9*c - 2)
Suppose -2*r**2/13 + 116*r/13 - 1682/13 = 0. Calculate r.
29
Factor -3*j**3/5 + 9*j**2 + 102*j/5.
-3*j*(j - 17)*(j + 2)/5
Suppose 3*a**3/2 + 72*a**2 = 0. Calculate a.
-48, 0
What is o in -1078*o**5/9 - 6188*o**4/9 - 11248*o**3/9 - 5216*o**2/9 + 2336*o/9 + 64/9 = 0?
-2, -2/77, 2/7
Factor 4*z**3/5 + 57*z**2/5 + 14*z/5.
z*(z + 14)*(4*z + 1)/5
Factor -d**2/6 + 31*d/2 + 47/3.
-(d - 94)*(d + 1)/6
Suppose -2*y**3/7 + 1780*y**2/7 - 3554*y/7 + 1776/7 = 0. What is y?
1, 888
Factor 2*g**3/13 - 34*g**2/13 + 112*g/13 - 8.
2*(g - 13)*(g - 2)**2/13
Solve i**2 + 60*i - 61 = 0.
-61, 1
Factor -2*d**5/11 + 12*d**4/11 - 2*d**3/11 - 48*d**2/11 - 32*d/11.
-2*d*(d - 4)**2*(d + 1)**2/11
Factor -4*b**2 + 16*b + 180.
-4*(b - 9)*(b + 5)
Factor -11*p**2/2 + 7*p/2 + 2.
-(p - 1)*(11*p + 4)/2
Solve 2*k**5/3 + 14*k**4/3 + 20*k**3/3 - 40*k**2/3 - 112*k/3 - 64/3 = 0 for k.
-4, -2, -1, 2
Find g such that 2*g**5 + 16*g**4 + 8*g**3 - 116*g**2 - 10*g + 100 = 0.
-5, -1, 1, 2
Determine j, given that -2*j**3/9 + 2*j**2/3 - 2*j/3 + 2/9 = 0.
1
Factor i**3 + 26*i**2 - 55*i + 28.
(i - 1)**2*(i + 28)
Determine i, given that -2*i**5/5 - 46*i**4/5 - 188*i**3/5 + 172*i**2 - 962*i/5 + 338/5 = 0.
-13, 1
Factor -4*k**3/7 + 880*k**2/7 - 496*k + 3456/7.
-4*(k - 216)*(k - 2)**2/7
Factor v**4/5 + 19*v**3/5 + 63*v**2/5 + 9*v.
v*(v + 1)*(v + 3)*(v + 15)/5
Factor 4*f**4 - 8*f**2 + 4.
4*(f - 1)**2*(f + 1)**2
Solve p**2 - 928*p + 215296 = 0 for p.
464
Factor 2*q**3/7 - 564*q**2/7 + 5256*q + 426320/7.
2*(q - 146)**2*(q + 10)/7
Let -5*z**2 - 230*z - 645 = 0. What is z?
-43, -3
Factor 4*b**2/9 - 92*b/3 - 280/9.
4*(b - 70)*(b + 1)/9
Let k**3 + 143*k**2 + 5040*k - 5184 = 0. What is k?
-72, 1
Let 6*c**4/17 + 106*c**3/17 - 3300*c**2/17 + 64*c = 0. Calculate c.
-34, 0, 1/3, 16
Let -12*v**5 + 39*v**4 - 33*v**3 + 6*v**2 = 0. What is v?
0, 1/4, 1, 2
Factor -22*k**3 + 64*k**2 - 62*k + 20.
-2*(k - 1)**2*(11*k - 10)
Solve r**2/5 + 15*r = 0.
-75, 0
Suppose 3*u**5 + 84*u**4 + 588*u**3 = 0. What is u?
-14, 0
What is f in -f**2/2 + 21*f/2 - 45 = 0?
6, 15
Suppose -3*d**2/2 + 15*d/2 = 0. Calculate d.
0, 5
Suppose -m**4/4 + m**3 + m**2/2 - 3*m - 9/4 = 0. What is m?
-1, 3
Determine v, given that -v**2/10 - 13*v/5 + 27/10 = 0.
-27, 1
Factor p**4/5 + p**3 - 3*p**2/5 - 17*p/5 - 2.
(p - 2)*(p + 1)**2*(p + 5)/5
What is f in -250*f**2 - 4160*f - 86528/5 = 0?
-208/25
Factor f**5 + 3*f**4 + f**3 - 3*f**2 - 2*f.
f*(f - 1)*(f + 1)**2*(f + 2)
Let n**2 + 62*n + 961 = 0. What is n?
-31
Factor 64*z**3/3 - 5536*z**2 - 2772*z - 1040/3.
4*(z - 260)*(4*z + 1)**2/3
Solve -2*j**3 + 208*j**2 + 638*j + 428 = 0 for j.
-2, -1, 107
Factor 5*n**3 - 35*n**2 - 5*n + 35.
5*(n - 7)*(n - 1)*(n + 1)
Find n such that -2*n**3/7 + 106*n**2/7 + 690*n/7 + 1062/7 = 0.
-3, 59
Factor 4*f**3/3 - 25*f**2/3 + 2*f.
f*(f - 6)*(4*f - 1)/3
Factor -2*h**2 - 210*h - 208.
-2*(h + 1)*(h + 104)
Factor -6*u**2 + 279*u + 141.
-3*(u - 47)*(2*u + 1)
What is v in -v**3 + 122*v**2 + 1855*v + 6664 = 0?
-7, 136
Let 10*d**5 - 24*d**4 + 8*d**3 = 0. Calculate d.
0, 2/5, 2
Factor -2*o**4 + 580*o**3 - 42050*o**2.
-2*o**2*(o - 145)**2
Factor 4*w**3 + 1212*w**2 + 122412*w + 4121204.
4*(w + 101)**3
Determine r so that 3*r**2 - 12*r - 15 = 0.
-1, 5
Let 3721*d**5 - 15128*d**4 - 10183*d**3 + 67694*d**2 - 4404*d + 72 = 0. What is d?
-2, 2/61, 3
What is s in -2*s**4/3 - 204*s**3 + 206*s**2 + 1228*s/3 = 0?
-307, -1, 0, 2
Factor -2*j**2 + 470*j + 948.
-2*(j - 237)*(j + 2)
Factor -2*u**3 + 10*u**2 - 16*u + 8.
-2*(u - 2)**2*(u - 1)
Solve 2*r**2/9 - 6*r + 100/9 = 0 for r.
2, 25
Factor r**3 + 13*r**2 - 16*r - 28.
(r - 2)*(r + 1)*(r + 14)
Determine c so that 2*c**3 - 148*c**2 - 458*c - 308 = 0.
-2, -1, 77
Let 39204*g**4/7 - 76428*g**3/7 + 35269*g**2/7 + 1930*g/7 + 25/7 = 0. What is g?
-5/198, 1
Factor -3*u**2 - 1558*u + 1040.
-(u + 520)*(3*u - 2)
Find g, given that g**3/9 + 53*g**2/9 + 11*g - 17 = 0.
-51, -3, 1
Find c such that -2*c**3/17 - 20*c**2/17 + 158*c/17 + 1040/17 = 0.
-13, -5, 8
Let -52*s**4 - 57*s**3 + 101*s**2 + 12*s - 4 = 0. What is s?
-2, -1/4, 2/13, 1
Factor -w**3/5 + w**2 - 7*w/5 + 3/5.
-(w - 3)*(w - 1)**2/5
Solve i**5/2 - 11*i**4/2 + 5*i**3 + 53*i**2 + 133*i/2 + 49/2 = 0.
-1, 7
Factor 5*k**3 + 20*k**2 - 260*k + 400.
5*(k - 4)*(k - 2)*(k + 10)
Factor 5*a**5 - 10*a**4 + 10*a**2 - 5*a.
5*a*(a - 1)**3*(a + 1)
Factor 4*n**3/7 + 484*n**2/7 + 1424*n/7 + 944/7.
4*(n + 1)*(n + 2)*(n + 118)/7
Factor 21*c**3 - 102*c**2 - 21*c + 102.
3*(c - 1)*(c + 1)*(7*c - 34)
Factor h**4 + 13*h**3 + 23*h**2 + 11*h.
h*(h + 1)**2*(h + 11)
What is f in -f**3 - 21*f**2 + 45*f - 23 = 0?
-23, 1
Determine r, given that -7*r**4/6 + 89*r**3/6 + 13*r**2/3 = 0.
-2/7, 0, 13
Factor -4*o**2 + 872*o - 47524.
-4*(o - 109)**2
Factor -3*n**2/2 + 159*n/2 + 165.
-3*(n - 55)*(n + 2)/2
Let -2*f**3/7 + 16*f**2/7 + 150*f/7 + 36 = 0. Calculate f.
-3, 14
Factor t**2/4 + 4*t - 17/4.
(t - 1)*(t + 17)/4
Find t such that t**2/5 - 16*t/5 + 64/5 = 0.
8
Find n such that 4*n**3 + 132*n**2/5 - 56*n/5 = 0.
-7, 0, 2/5
Suppose -2*w**5 - 630*w**4 - 628*w**3 = 0. What is w?
-314, -1, 0
Factor 3*b**3 - 201*b**2 + 390*b.
3*b*(b - 65)*(b - 2)
Factor -16*h**2 - 4324*h - 1080.
-4*(h + 270)*(4*h + 1)
Factor -2*f**2 + 5320*f - 3537800.
-2*(f - 1330)**2
Factor -5*r**3/2 - 97*r**2/2 - 64*r - 18.
-(r + 1)*(r + 18)*(5*r + 2)/2
Factor 3*u**2/8 + 177*u/2 + 351/2.
3*(u + 2)*(u + 234)/8
Let -2*o**2/13 - 158*o/13 + 160/13 = 0. What is o?
-80, 1
Factor -4*q**2 - 4552*q - 1295044.
-4*(q + 569)**2
Let 2*o**3 - 80*o**2 - 184*o + 672 = 0. What is o?
-4, 2, 42
Factor -4*t**5 - 76*t**4 - 72*t**3.
-4*t**3*(t + 1)*(t + 18)
Determine c so that -3*c**5 + 165*c**4/4 + 1593*c**3/4 + 2319*c**2/2 + 1419*c + 630 = 0.
-2, -5/4, 21
Determine w so that -w**2 + 15*w + 76 = 0.
-4, 19
Solve 155*c**2 + 195*c + 40 = 0 for c.
-1, -8/31
Factor -2*u**4 - 86*u**3 - 156*u**2 + 344*u + 656.
-2*(u - 2)*(u + 2)**2*(u + 41)
Factor -15*k**4/2 - 39*k**3/2 + 9*k**2.
-3*k**2*(k + 3)*(5*k - 2)/2
Find y, given that 2*y**2 - 10*y - 72 = 0.
-4, 9
Factor 3*j**4/7 + 11*j**3/7 - 66*j**2/7 + 36*j/7 + 8.
(j - 2)**2*(j + 7)*(3*j + 2)/7
Factor -3*s**2 + 31776*s - 84142848.
-3*(s - 5296)**2
Factor 7*x**4/5 - 24*x**3/5 + 12*x**2/5 + 16*x/5.
x*(x - 2)**2*(7*x + 4)/5
Factor -3*h**3/8 + 807*h**2/8 + 408*h + 819/2.
-3*(h - 273)*(h + 2)**2/8
Suppose 2*g**2 - 146*g = 0. Calculate g.
0, 73
Let -t**5/5 + 9*t**4/5 - 29*t**3/5 + 43*t**2/5 - 6*t + 8/5 = 0. Calculate t.
1, 2, 4
Let 5*j**4 - 160*j**3 + 1920*j**2 - 10240*j + 20480 = 0. What is j?
8
Determine c, given that 2*c**5 - 40*c**4 + 64*c**3 + 148*c**2 - 66*c - 108 = 0.
-1, 1, 3, 18
Solve 5*b**5 + 5*b**4 - 5*b**3 - 5*b**2 = 0.
-1, 0, 1
Factor -3*j**3 - 12*j