*h**2/4.
h**2*(h - 1)*(6*h - 5)/4
Find m such that -5*m**5/3 - 15*m**4 - 50*m**3/3 + 100*m**2 + 280*m/3 - 160 = 0.
-6, -4, -2, 1, 2
Determine q so that -4*q**4 - 180*q**3 - 1932*q**2 + 2116*q = 0.
-23, 0, 1
Let m**2/3 - 5*m + 14/3 = 0. Calculate m.
1, 14
Factor -2*p**3 - 2496*p**2 - 1038336*p - 143982592.
-2*(p + 416)**3
What is z in -z**2 - 41*z = 0?
-41, 0
Factor 19*h**2/9 + 280*h/3 + 176/9.
(h + 44)*(19*h + 4)/9
Find s, given that -5*s**2 - 2155*s = 0.
-431, 0
Suppose -14*n**3/9 + 20*n**2/3 - 16*n/9 = 0. What is n?
0, 2/7, 4
Let -5*f**5 + 5*f**4 + 20*f**3 - 20*f**2 = 0. Calculate f.
-2, 0, 1, 2
Factor -g**5 - 5*g**4 - g**3 + 17*g**2 + 22*g + 8.
-(g - 2)*(g + 1)**3*(g + 4)
Suppose -3*d**2 + 264*d + 267 = 0. Calculate d.
-1, 89
Let 2*b**5/5 - 4*b**4/5 - 352*b**3/5 - 1564*b**2/5 + 70*b + 1568/5 = 0. Calculate b.
-7, -1, 1, 16
Solve 2*y**2/3 + 210*y - 636 = 0 for y.
-318, 3
Find b such that -4*b**5/3 + 40*b**4/3 - 116*b**3/3 + 80*b**2/3 = 0.
0, 1, 4, 5
Find b, given that 4*b**3/3 + 68*b**2 + 832*b - 2704/3 = 0.
-26, 1
Factor 6*d**4/7 - 162*d**3/7 + 144*d**2/7 + 312*d/7.
6*d*(d - 26)*(d - 2)*(d + 1)/7
Suppose -4*z**3 - 1416*z**2 = 0. Calculate z.
-354, 0
Find t such that -t**2/2 + 59*t/2 + 61 = 0.
-2, 61
Suppose -4*a**4 - 28*a**3 - 32*a**2 + 64*a = 0. What is a?
-4, 0, 1
Solve -5*w**3 + 215*w**2 - 2755*w + 9025 = 0 for w.
5, 19
Solve z**3 - 78*z**2 - 159*z - 80 = 0 for z.
-1, 80
Determine c so that 7*c**3/5 + 719*c**2/5 - 1676*c/5 + 84 = 0.
-105, 2/7, 2
Suppose 4*v**2 - 28*v + 40 = 0. What is v?
2, 5
Factor -5*z**4 - 170*z**3 - 1445*z**2.
-5*z**2*(z + 17)**2
Let g**3 + 2*g**2 = 0. What is g?
-2, 0
Find u, given that -3*u**4 + 45*u**3 - 6*u**2 - 504*u = 0.
-3, 0, 4, 14
Determine p so that 5*p**4 - 55*p**3 - 300*p**2 = 0.
-4, 0, 15
Find b such that 3*b**3 + 12*b**2 = 0.
-4, 0
Factor -h**3/3 + 11*h**2/3 - 23*h/3 - 35/3.
-(h - 7)*(h - 5)*(h + 1)/3
Factor v**2/2 + 105*v/2 + 202.
(v + 4)*(v + 101)/2
Solve h**3 - 83*h**2 + 1056*h + 29952 = 0 for h.
-13, 48
Find a such that -a**2/8 - 5*a - 39/8 = 0.
-39, -1
Factor -p**2/3 + 481*p/3 - 160.
-(p - 480)*(p - 1)/3
Factor -3*i**2/2 - 375*i - 46875/2.
-3*(i + 125)**2/2
Find n such that 4*n**5/13 + 2*n**4/13 - 68*n**3/13 - 178*n**2/13 - 152*n/13 - 40/13 = 0.
-2, -1, -1/2, 5
Determine x, given that x**3/4 + 18*x**2 + 324*x = 0.
-36, 0
Factor 5*g**5 + 390*g**4.
5*g**4*(g + 78)
Determine w so that -6*w**2/7 - 78*w/7 - 72/7 = 0.
-12, -1
Solve -2*c**2/21 + 2*c/21 + 4/7 = 0 for c.
-2, 3
Solve 4*f**3 - 4360*f**2 + 8708*f - 4352 = 0 for f.
1, 1088
Determine o, given that 2*o**3 + 16*o**2 - 2*o - 16 = 0.
-8, -1, 1
Factor 2*j**2/3 - 4*j/3 - 32.
2*(j - 8)*(j + 6)/3
Find o such that o**4/7 - 10*o**3/7 + 17*o**2/7 - 8*o/7 = 0.
0, 1, 8
Determine o so that 3*o**4 + 183*o**3 + 177*o**2 - 183*o - 180 = 0.
-60, -1, 1
Let -21*c**2/4 - 771*c/4 + 111/2 = 0. What is c?
-37, 2/7
Suppose 405*q**2 - 401*q - 4 = 0. Calculate q.
-4/405, 1
Determine h so that -3*h**3/7 + 33*h**2/7 - 3*h - 63 = 0.
-3, 7
Let -5*v**4 + 126*v**3 - 865*v**2 + 888*v - 144 = 0. What is v?
1/5, 1, 12
Find v, given that -2*v**5/5 + 2*v**4/5 + 6*v**3/5 - 2*v**2 + 4*v/5 = 0.
-2, 0, 1
Find x, given that -2*x**5 - 48*x**4 - 232*x**3 + 724*x**2 + 234*x - 676 = 0.
-13, -1, 1, 2
Let -2*o**3/7 + 66*o**2/7 - 18*o + 62/7 = 0. What is o?
1, 31
Factor -3*x**2/2 - 123*x + 249/2.
-3*(x - 1)*(x + 83)/2
Factor -f**3 - 50*f**2 - 672*f - 1152.
-(f + 2)*(f + 24)**2
Solve l**5/4 - 7*l**4/2 + 35*l**3/4 - 11*l**2/2 = 0.
0, 1, 2, 11
Find o, given that 28*o**3 - 3704*o**2 + 4724*o - 1048 = 0.
2/7, 1, 131
Factor -2*k**5/3 + 4*k**4 - 2*k**3/3 - 16*k**2 - 32*k/3.
-2*k*(k - 4)**2*(k + 1)**2/3
Factor t**3/3 + 7*t**2/3 - 10*t/3 - 16/3.
(t - 2)*(t + 1)*(t + 8)/3
Suppose -3*m**2 + 30*m - 48 = 0. What is m?
2, 8
Factor t**3 - 53*t**2 + 196*t.
t*(t - 49)*(t - 4)
Determine a so that -4*a**4 - 620*a**3 - 23712*a**2 + 24336*a = 0.
-78, 0, 1
Factor -4*a**3/9 + 2800*a**2/9 - 5588*a/9 + 2792/9.
-4*(a - 698)*(a - 1)**2/9
Factor -u**2/4 - 27*u/4 - 35.
-(u + 7)*(u + 20)/4
Factor -o**3/9 + 17*o**2/3.
-o**2*(o - 51)/9
Let -10*i**4/9 + 8*i**3/3 + 8*i**2 - 32*i/9 = 0. What is i?
-2, 0, 2/5, 4
Find f such that -2*f**3/7 + 2*f**2 + 80*f/7 + 88/7 = 0.
-2, 11
Find n such that n**4/2 + 72*n**3 - 219*n**2 + 220*n - 147/2 = 0.
-147, 1
Find d such that -28*d**5/3 - 398*d**4/3 - 1438*d**3/3 - 46*d**2/3 + 826*d/3 - 196/3 = 0.
-7, -1, 2/7, 1/2
Solve 2*a**2/7 - 608*a + 323456 = 0.
1064
Determine r, given that 36*r**2 + 80*r + 16 = 0.
-2, -2/9
Factor -4*g**4 + 96*g**3 - 560*g**2 - 384*g + 2304.
-4*(g - 12)**2*(g - 2)*(g + 2)
Factor 2*c**2/7 - 3056*c/7 + 1167392/7.
2*(c - 764)**2/7
Determine b, given that 4624*b**2/5 + 136*b/5 + 1/5 = 0.
-1/68
Solve 5*j**2 - 1800*j - 1805 = 0.
-1, 361
Factor -4*n**3/3 - 20*n**2 - 36*n - 52/3.
-4*(n + 1)**2*(n + 13)/3
Factor -3*r**3/8 + 39*r**2/8 + 27*r/8 - 1215/8.
-3*(r - 9)**2*(r + 5)/8
Factor f**2/4 - 455*f/4 + 453/2.
(f - 453)*(f - 2)/4
Factor -5*v**3 + 4115*v**2 - 8215*v + 4105.
-5*(v - 821)*(v - 1)**2
Solve 3*l**5 + 6*l**4 - 9*l**3 - 12*l**2 + 12*l = 0 for l.
-2, 0, 1
Let -t**2/2 - 79*t/3 + 728/3 = 0. Calculate t.
-182/3, 8
Determine f so that -2*f**2/3 - 596*f/3 - 44402/3 = 0.
-149
Factor 15*v**3/2 + 41*v**2 + 13*v/2 - 55.
(v - 1)*(v + 5)*(15*v + 22)/2
Factor -5*r**2 + 1285*r - 1280.
-5*(r - 256)*(r - 1)
Factor g**5 + 7*g**4 + 10*g**3.
g**3*(g + 2)*(g + 5)
Factor -37*m**2/3 - 25*m - 2/3.
-(m + 2)*(37*m + 1)/3
Find k such that -3*k**2 + 9*k + 54 = 0.
-3, 6
Find s such that 14*s**5/5 + 68*s**4/5 + 74*s**3/5 - 68*s**2/5 - 104*s/5 + 16/5 = 0.
-2, 1/7, 1
Determine x so that -2*x**3/3 + 286*x**2/3 - 3360*x - 3456 = 0.
-1, 72
Solve 6*y**2 - 28*y/3 - 16/3 = 0 for y.
-4/9, 2
Factor o**2/8 - 296*o + 175232.
(o - 1184)**2/8
Factor 3*c**4/7 + 78*c**3/7 - 255*c**2/7 + 174*c/7.
3*c*(c - 2)*(c - 1)*(c + 29)/7
Factor -p**3/2 - 217*p**2/8 + 197*p/4 + 14.
-(p - 2)*(p + 56)*(4*p + 1)/8
Factor 4*l**4/7 + 104*l**3/7 + 864*l**2/7 + 1944*l/7 - 2916/7.
4*(l - 1)*(l + 9)**3/7
Solve -3*n**4 + 12*n**3 + 81*n**2 + 114*n + 48 = 0 for n.
-2, -1, 8
Determine d, given that -2*d**2 + 884*d - 882 = 0.
1, 441
Factor -p**5/4 - 2*p**4 + 32*p**2 + 64*p.
-p*(p - 4)*(p + 4)**3/4
Solve 3*s**3/2 - 12*s**2 - 6*s + 48 = 0 for s.
-2, 2, 8
Solve -84*q**4 + 724*q**3 - 1348*q**2 + 860*q - 152 = 0.
2/7, 1, 19/3
Find i, given that 2*i**5/3 - 2*i**4/9 - 22*i**3/9 + 2*i**2 + 8*i/9 - 8/9 = 0.
-2, -2/3, 1
Suppose -2*y**3/5 + 96*y**2/5 - 1042*y/5 - 228 = 0. What is y?
-1, 19, 30
Factor 5*t**3 + 55*t**2 + 75*t - 135.
5*(t - 1)*(t + 3)*(t + 9)
What is v in -6*v**4 - 28*v**3 - 46*v**2 - 32*v - 8 = 0?
-2, -1, -2/3
What is o in 3*o**4 - 735*o**3 + 53667*o**2 - 546549*o - 46527954 = 0?
-22, 89
Suppose -2*p**3/13 - 2892*p**2/13 - 1393944*p/13 - 223960336/13 = 0. What is p?
-482
Find l such that 3*l**3 - 183*l**2 - 1635*l - 1449 = 0.
-7, -1, 69
Determine s, given that -4*s**4/5 + 296*s**3/5 - 5764*s**2/5 + 10656*s/5 - 5184/5 = 0.
1, 36
Suppose q**3/4 + q**2/2 - 25*q/4 - 25/2 = 0. Calculate q.
-5, -2, 5
Let 18*b**3 - 192*b**2 + 122*b - 20 = 0. What is b?
1/3, 10
Factor -2*a**2/7 - 128*a/7 - 248/7.
-2*(a + 2)*(a + 62)/7
Determine y so that -5*y**4 - 40*y**3 - 75*y**2 + 40*y + 80 = 0.
-4, -1, 1
Factor 5*f**4 + 230*f**3 - 725*f**2 + 490*f.
5*f*(f - 2)*(f - 1)*(f + 49)
Find i such that -i**5/5 - 211*i**4/5 - 10809*i**3/5 + 33919*i**2/5 - 22898*i/5 = 0.
-107, 0, 1, 2
Factor r**3 + 18*r**2 - 19*r.
r*(r - 1)*(r + 19)
Factor 4*i**4 - 16*i**3 - 248*i**2 + 1680*i - 2700.
4*(i - 5)**2*(i - 3)*(i + 9)
Factor -6*r**3/5 - 12*r**2/5 + 6*r/5 + 12/5.
-6*(r - 1)*(r + 1)*(r + 2)/5
Determine w, given that w**2/5 + 6*w/5 + 8/5 = 0.
-4, -2
Factor n**3/6 - 49*n**2/6 - 104*n/3 - 106/3.
(n - 53)*(n + 2)**2/6
Suppose -2*w**2/3 - 310*w/3 - 1876 = 0. What is w?
-134, -21
Factor -2*f**2/3 - 238*f/9 + 1144/9.
-2*(f + 44)*(3*f - 13)/9
Factor -2*v**2/9 - 158*v/3 - 1864/9.
-2*(v + 4)*(v + 233)/9
Factor -q**3/3 + 5*q**2/3 - 7*q/3 + 1.
-(q - 3)*(q - 1)**2/3
What is y in 2*y**4 + 266*y**3 + 8976*y**2 + 8712*y = 0?
-66, -1, 0
Let n**4/8 + 5*n**3/8 + 3*n**2/8 - 5*n/8 - 1/2 = 0. What is n?
-4, -1, 1
Find a, given that 5*a**5 - 725*a**4 - 1465*a**3 - 735*a**2 = 0.
-1, 0, 147
Determine j so that 2*j**4/21 - 104*j**3/21 + 676*j**2/7 - 17576*j/21 + 57122/21 = 0.
13
Let 3*b**2 - 1596*b