se -3*h**5 + 267*h**4 - 1032*h**3 + 1020*h**2 = 0. What is h?
0, 2, 85
Factor j**3 + 62*j**2 - 127*j + 64.
(j - 1)**2*(j + 64)
Factor 3*i**2/4 + 3*i + 9/4.
3*(i + 1)*(i + 3)/4
Let 2*f**3 + 38*f**2 + 110*f - 726 = 0. What is f?
-11, 3
Find v such that 5*v**3 - 7075*v**2 + 2499240*v + 2506320 = 0.
-1, 708
Factor -5*q**3 - 3460*q**2 - 588065*q + 3654030.
-5*(q - 6)*(q + 349)**2
Determine n so that 4*n**3 - 2192*n**2 + 302484*n - 596232 = 0.
2, 273
Factor -3*m**4 - 18*m**3 - 27*m**2 + 12*m + 36.
-3*(m - 1)*(m + 2)**2*(m + 3)
Let z**5/7 - 4*z**4/7 - z**3 + 10*z**2/7 = 0. Calculate z.
-2, 0, 1, 5
Let 2*p**3/5 + 76*p**2/5 + 512*p/5 + 192 = 0. Calculate p.
-30, -4
Factor 3*z**5 + 9*z**4 - 162*z**3 - 336*z**2.
3*z**2*(z - 7)*(z + 2)*(z + 8)
Factor u**3/9 + u**2/9 - 8*u/9 - 4/3.
(u - 3)*(u + 2)**2/9
Determine b so that b**5/3 + 3*b**4 - 23*b**3/3 - 3*b**2 + 22*b/3 = 0.
-11, -1, 0, 1, 2
Let -2*k**3/13 + 1070*k**2/13 + 2*k/13 - 1070/13 = 0. What is k?
-1, 1, 535
Determine d, given that 60*d**3 + 2512*d**2/7 - 6768*d/7 + 128/7 = 0.
-8, 2/105, 2
Find s, given that -2*s**4 - 44*s**3 - 306*s**2 - 544*s + 896 = 0.
-8, -7, 1
Find o such that 5*o**3 + 1825*o**2 - 1840*o - 3660 = 0.
-366, -1, 2
Suppose 4*a**4 + 2432*a**3 - 14688*a**2 + 29440*a - 19648 = 0. Calculate a.
-614, 2
Suppose -2*j**2 - 12*j + 14 = 0. Calculate j.
-7, 1
Factor 2*q**4/13 - 4*q**3/13 - 6*q**2 - 144*q/13.
2*q*(q - 8)*(q + 3)**2/13
Determine b, given that b**3 + 55*b**2 + 244*b - 300 = 0.
-50, -6, 1
Factor k**3/8 - 2469*k**2/8 + 2031987*k/8 - 557441767/8.
(k - 823)**3/8
Factor 2*v**2/13 - 32/13.
2*(v - 4)*(v + 4)/13
Factor -g**5/6 + 13*g**4/6 - 9*g**3 + 47*g**2/3 - 73*g/6 + 7/2.
-(g - 7)*(g - 3)*(g - 1)**3/6
Factor n**2/3 + 634*n/3 - 424.
(n - 2)*(n + 636)/3
Suppose -a**5 - 34*a**4 + 112*a**3 + 34*a**2 - 111*a = 0. Calculate a.
-37, -1, 0, 1, 3
Factor -5*u**2 + 162*u - 64.
-(u - 32)*(5*u - 2)
Factor p**4/2 + 3*p**3/2 - 3*p**2/2 - 11*p/2 - 3.
(p - 2)*(p + 1)**2*(p + 3)/2
Solve -5*n**5 + 25*n**4 - 5*n**3 - 105*n**2 + 90*n = 0.
-2, 0, 1, 3
Solve -s**2 - 141*s - 140 = 0 for s.
-140, -1
Factor 2*j**4 - 10*j**3 - 66*j**2 - 54*j.
2*j*(j - 9)*(j + 1)*(j + 3)
Solve -2*d**5/19 + 226*d**4/19 + 6*d**3/19 - 682*d**2/19 + 452*d/19 = 0.
-2, 0, 1, 113
Let 2*j**4 + 6*j**3 - 4*j**2 - 24*j - 16 = 0. Calculate j.
-2, -1, 2
Solve -2*m**2/21 - 2210*m/21 = 0.
-1105, 0
Determine w, given that -5*w**5/4 - 3*w**4/2 + 3*w**3 + 11*w**2/2 + 9*w/4 = 0.
-1, 0, 9/5
Factor 18*o**3 - 28*o**2.
2*o**2*(9*o - 14)
Factor -2*i**4/3 - 20*i**3 - 38*i**2 - 56*i/3.
-2*i*(i + 1)**2*(i + 28)/3
Factor -2*q**2/7 - 38*q/7.
-2*q*(q + 19)/7
Factor -2*r**3 - 58*r**2 + 2*r + 58.
-2*(r - 1)*(r + 1)*(r + 29)
Factor 4*o**4 + 35*o**3 - 1353*o**2 - 14560*o + 3724.
(o - 19)*(o + 14)**2*(4*o - 1)
Suppose 5*x**2 + 225*x + 2320 = 0. What is x?
-29, -16
Factor n**5 + 14*n**4 + 39*n**3 - 54*n**2.
n**2*(n - 1)*(n + 6)*(n + 9)
Factor 6*c**3 - 1395*c**2 + 81432*c - 40368.
3*(c - 116)**2*(2*c - 1)
Factor 5*h**3/2 + 95*h**2/2 + 195*h.
5*h*(h + 6)*(h + 13)/2
Factor -2*d**2/7 + 12*d - 126.
-2*(d - 21)**2/7
Let -g**4 - 4*g**3 + 13*g**2 + 4*g - 12 = 0. What is g?
-6, -1, 1, 2
Factor 4*v**3 + 40*v**2 - 452*v + 408.
4*(v - 6)*(v - 1)*(v + 17)
Let -49*j**2/6 + 2471*j - 373827/2 = 0. What is j?
1059/7
Factor 2*n**2/7 - 10*n/7 - 4.
2*(n - 7)*(n + 2)/7
Suppose 2*g**2/11 - 2164*g/11 = 0. What is g?
0, 1082
Determine m so that 3*m**5 + 39*m**4 + 180*m**3 + 336*m**2 + 192*m = 0.
-4, -1, 0
Find j such that -986078*j**5/13 + 1060970*j**4/13 - 76788*j**3/13 + 1912*j**2/13 - 16*j/13 = 0.
0, 2/79, 1
Factor 5*i**4 - 45*i**3 + 40*i**2 + 300*i.
5*i*(i - 6)*(i - 5)*(i + 2)
Suppose 15*w**3 + 2001*w**2 - 1212*w - 804 = 0. What is w?
-134, -2/5, 1
Solve -192*g**4 + 3267*g**3 - 12147*g**2 - 15363*g + 243 = 0 for g.
-1, 1/64, 9
Find b such that -b**2/2 + 51*b/2 - 49 = 0.
2, 49
Factor n**5/2 - 3*n**4/2 + n**3 + n**2 - 3*n/2 + 1/2.
(n - 1)**4*(n + 1)/2
Factor l**2 + 7*l - 60.
(l - 5)*(l + 12)
Determine s, given that -8*s**3/5 - 863*s**2/5 - 4644*s + 2916/5 = 0.
-54, 1/8
Factor 3*d**3 + 129*d**2 - 12*d - 516.
3*(d - 2)*(d + 2)*(d + 43)
Solve -6*q**3 - 93*q**2 + 2139*q + 1092 = 0 for q.
-28, -1/2, 13
Factor 25*h**5/2 - 715*h**4 + 19869*h**3/2 + 8294*h**2 + 1682*h.
h*(h - 29)**2*(5*h + 2)**2/2
Factor 2*q**2/9 + 16*q/9.
2*q*(q + 8)/9
Factor -100*d**3 + 20680*d**2 - 16496*d + 3296.
-4*(d - 206)*(5*d - 2)**2
Factor 33*m**3/7 + 4*m**2 + 4*m/7.
m*(3*m + 2)*(11*m + 2)/7
Suppose 3*u**5 - 7*u**4 - 10*u**3 + 10*u**2 + 7*u - 3 = 0. What is u?
-1, 1/3, 1, 3
Factor 125*w**5 - 525*w**4 + 10*w**3 + 412*w**2 - 216*w + 32.
(w - 4)*(w + 1)*(5*w - 2)**3
What is c in -2*c**3/7 - 8*c**2/7 + 38*c/7 - 4 = 0?
-7, 1, 2
What is y in y**2 + 108*y + 2916 = 0?
-54
Factor -7*h**4/6 - 5*h**3 - 4*h**2/3.
-h**2*(h + 4)*(7*h + 2)/6
Determine g, given that g**2/2 - 65*g/2 - 33 = 0.
-1, 66
Factor -j**3/2 - 22*j**2 + 45*j/2.
-j*(j - 1)*(j + 45)/2
Factor 5*f**3 + 65*f**2 - 150*f.
5*f*(f - 2)*(f + 15)
Factor 2*r**2 - 536*r + 35912.
2*(r - 134)**2
Factor -4*u**4 - 36*u**3 - 92*u**2 - 12*u + 144.
-4*(u - 1)*(u + 3)**2*(u + 4)
Let -3*r**2/4 + 15*r/2 - 75/4 = 0. What is r?
5
Factor 2*n**4/11 - 118*n**3/11 - 366*n**2/11 - 370*n/11 - 124/11.
2*(n - 62)*(n + 1)**3/11
Suppose 3*b**2/2 - 1695*b/2 - 849 = 0. What is b?
-1, 566
What is b in -5*b**4/2 - 125*b**3/2 + 1235*b**2/2 - 2755*b/2 + 825 = 0?
-33, 1, 2, 5
Factor 12*l**4 + 41*l**3 + 41*l**2 + 7*l - 5.
(l + 1)**2*(3*l + 5)*(4*l - 1)
Find o, given that -4*o**2 - 64*o - 112 = 0.
-14, -2
Factor k**3/2 - 280*k**2.
k**2*(k - 560)/2
Factor -3*h**2 + 39*h - 36.
-3*(h - 12)*(h - 1)
Let j**4/7 - 41*j**3/7 + 79*j**2/7 - 39*j/7 = 0. Calculate j.
0, 1, 39
Factor 5*c**2/3 - 1085*c/3 + 2150/3.
5*(c - 215)*(c - 2)/3
Find z, given that -2*z**4/5 - 11364*z**3/5 - 16142562*z**2/5 = 0.
-2841, 0
Factor -3*a**5/7 - 3*a**4/7 + 6*a**3/7 + 6*a**2/7 - 3*a/7 - 3/7.
-3*(a - 1)**2*(a + 1)**3/7
Find z such that 2*z**2/9 - 4*z/9 - 286/9 = 0.
-11, 13
Suppose r**4/4 + 19*r**3/4 + 117*r**2/4 + 297*r/4 + 135/2 = 0. Calculate r.
-10, -3
Let -5*c**3 + 2170*c**2 - 239725*c + 924500 = 0. What is c?
4, 215
Factor 2*l**2/5 - 19672*l/5 + 48373448/5.
2*(l - 4918)**2/5
Solve 2*s**4 - 20*s**3 + 18*s**2 = 0 for s.
0, 1, 9
What is l in -l**2/3 + 4*l/3 - 1 = 0?
1, 3
Determine b, given that -18*b**5 + 148*b**4 + 832*b**3 - 192*b**2 = 0.
-4, 0, 2/9, 12
Suppose -2*m**3/3 + 38*m**2/3 - 58*m + 78 = 0. What is m?
3, 13
Solve -2*t**3/23 + 98*t**2/23 + 418*t/23 + 318/23 = 0 for t.
-3, -1, 53
Factor 2*g**2/7 + 4680*g/7 + 2737800/7.
2*(g + 1170)**2/7
Factor -s**2/2 + 2.
-(s - 2)*(s + 2)/2
Solve k**5/5 + k**4 + 2*k**3/5 - 14*k**2/5 - 3*k/5 + 9/5 = 0 for k.
-3, -1, 1
Factor -3*i**5 - 51*i**4 + 114*i**3 - 6*i**2 - 111*i + 57.
-3*(i - 1)**3*(i + 1)*(i + 19)
Suppose y**4/2 + 275*y**3/2 - 416*y**2 + 278*y = 0. What is y?
-278, 0, 1, 2
Factor -2*u**2/5 + 2*u - 8/5.
-2*(u - 4)*(u - 1)/5
Factor x**3/4 + 11*x**2 + 43*x/4.
x*(x + 1)*(x + 43)/4
Determine l, given that -8*l**3/3 + 358*l**2/5 - 878*l/15 - 52/5 = 0.
-3/20, 1, 26
Factor -c**2 + 2324*c - 1350244.
-(c - 1162)**2
Solve -3*z**4 + 6*z**3 + 171*z**2 - 294*z - 1176 = 0.
-7, -2, 4, 7
Let -3*i**3 + 30*i**2 + 111*i + 78 = 0. What is i?
-2, -1, 13
Factor -4*n**2 + 4616*n - 1331716.
-4*(n - 577)**2
What is h in -2*h**3/9 + 46*h**2/3 - 28*h - 1072/9 = 0?
-2, 4, 67
Factor -2*q**3/3 + 206*q**2/3 - 406*q/3 + 202/3.
-2*(q - 101)*(q - 1)**2/3
Determine h so that 3*h**3/4 + 15*h**2/2 + 51*h/4 - 21 = 0.
-7, -4, 1
Find r such that 4*r**3 - 12*r**2 - 64*r - 48 = 0.
-2, -1, 6
Factor 4*j**3/7 + 32*j**2/7 + 20*j/7 - 200/7.
4*(j - 2)*(j + 5)**2/7
Solve 53*s**4/3 - s**3/3 - 53*s**2/3 + s/3 = 0.
-1, 0, 1/53, 1
Suppose 343*k**5/4 - 5537*k**4/4 + 287*k**3/2 + 821*k**2 + 302*k + 32 = 0. Calculate k.
-2/7, 1, 16
Factor m**3/5 + 9*m**2/5 + 6*m/5 - 16/5.
(m - 1)*(m + 2)*(m + 8)/5
Factor -2*b**2/3 - 17*b/3 - 5.
-(b + 1)*(2*b + 15)/3
Determine j so that -9*j**5/2 - 87*j**4 - 426*j**3 - 324*j**2 + 432*j = 0.
-12, -6, -2, 0, 2/3
Factor -3*f**3 - 30*f**2 + 513*f.
-3*f*(f - 9)*(f + 19)
Find t such that -21*t**3/5 - 36*t**2/5 + 783*t/5 - 1458/5 = 0.
-54/7, 3
Factor 2*c**2/19 + 186*c/19 + 880/19.
2*(c + 5)*(c + 88)/19
Determine s, given that 25*s**4/2 + 20*s**3 + 3*s**2 - 4*s + 1/2 = 0.
-1, 1/5
Solve -o**5/3 - o**4/3 + o**3 +