7 + 18/7.
-2*(l - 1)*(11*l - 3)**2/7
Determine w so that -w**3 - 102*w**2 - 2601*w = 0.
-51, 0
Let p**3/6 + 11*p**2/6 - 13*p/3 = 0. What is p?
-13, 0, 2
Factor -m**3 - 24*m**2 - 45*m - 22.
-(m + 1)**2*(m + 22)
Factor 192*w**2 - 194*w + 2.
2*(w - 1)*(96*w - 1)
Factor r**3/2 - 1895*r**2/8 - 1187*r/4 - 475/8.
(r - 475)*(r + 1)*(4*r + 1)/8
Determine o, given that 3*o**5/4 - 105*o**4/4 - 15*o**3/4 + 525*o**2/4 + 3*o - 105 = 0.
-2, -1, 1, 2, 35
Factor 12*f**3 + 112*f**2 + 252*f + 72.
4*(f + 3)*(f + 6)*(3*f + 1)
What is h in 2*h**5 + 160*h**4 + 3340*h**3 + 5000*h**2 - 20670*h + 12168 = 0?
-39, -4, 1
Let 3*y**5 - 294*y**4/5 - 378*y**3 - 3288*y**2/5 - 2157*y/5 - 90 = 0. What is y?
-3, -1, -2/5, 25
Let 6*p**3/7 - 3244*p**2/7 + 2160*p/7 = 0. Calculate p.
0, 2/3, 540
Determine r, given that 5*r**2 + 43600*r + 95048000 = 0.
-4360
Suppose -2*c**5/9 - 4*c**4/3 - 8*c**3/3 - 20*c**2/9 - 2*c/3 = 0. Calculate c.
-3, -1, 0
Let -k**2/2 - 65*k = 0. What is k?
-130, 0
Let 5*q**2 - 185*q - 5320 = 0. Calculate q.
-19, 56
Solve 3*g**5 + 19*g**4 + 45*g**3 + 49*g**2 + 24*g + 4 = 0 for g.
-2, -1, -1/3
Factor o**2/2 - 8*o + 55/2.
(o - 11)*(o - 5)/2
Factor -i**2 - 143*i + 290.
-(i - 2)*(i + 145)
Factor -4*t**2/3 - 16*t/3 + 20/3.
-4*(t - 1)*(t + 5)/3
Let 14*j**4 + 676*j**3 + 1494*j**2 + 1016*j + 184 = 0. What is j?
-46, -1, -2/7
Solve -v**2 - 12*v - 36 = 0 for v.
-6
Factor u**3/4 - 3*u**2/2 - 55*u/4.
u*(u - 11)*(u + 5)/4
Determine b, given that 3*b**5/4 + 12*b**4 + 93*b**3/2 + 60*b**2 + 99*b/4 = 0.
-11, -3, -1, 0
Find n, given that -204*n**3/7 - 1436*n**2/7 - 8*n = 0.
-7, -2/51, 0
Factor -3*b**5 - 21*b**4 - 30*b**3 + 6*b**2 + 33*b + 15.
-3*(b - 1)*(b + 1)**3*(b + 5)
Let 4*q**5 + 68*q**4 + 92*q**3 - 404*q**2 + 240*q = 0. What is q?
-15, -4, 0, 1
Factor -5*z**3 + 10*z**2 + 20*z - 40.
-5*(z - 2)**2*(z + 2)
Suppose -2*s**2/5 - 76*s - 3610 = 0. Calculate s.
-95
Factor -d**2 + 93*d - 2090.
-(d - 55)*(d - 38)
What is c in 55*c**2/6 + 25*c/3 - 5/6 = 0?
-1, 1/11
What is k in -k**5/3 - 6*k**4 + 28*k**3/3 + 182*k**2/3 + 71*k + 76/3 = 0?
-19, -1, 4
Suppose 70*m**2 + 136*m - 8 = 0. Calculate m.
-2, 2/35
Let -3*b**3 + 18*b**2 - 9*b - 30 = 0. What is b?
-1, 2, 5
Determine o, given that -35*o**3/4 + 139*o**2/2 + 179*o + 10 = 0.
-2, -2/35, 10
Solve n**3/7 + 8*n**2/7 + 19*n/7 + 12/7 = 0.
-4, -3, -1
Factor -2*m**3 + 80*m**2.
-2*m**2*(m - 40)
Factor u**5/5 - 6*u**3/5 - 8*u**2/5 - 3*u/5.
u*(u - 3)*(u + 1)**3/5
Factor 40*x**3 - 1916*x**2 - 200*x + 384.
4*(x - 48)*(2*x + 1)*(5*x - 2)
Factor 3*q**2 + 1473*q - 4446.
3*(q - 3)*(q + 494)
What is d in -8*d**5 - 18*d**4 + 52*d**3 + 78*d**2 - 80*d - 24 = 0?
-3, -2, -1/4, 1, 2
Find m such that 5*m**5 + 5*m**4 - 15*m**3 - 5*m**2 + 10*m = 0.
-2, -1, 0, 1
Find u, given that 21*u**5/4 + 99*u**4/4 - 93*u**3/4 - 255*u**2/4 + 72*u - 15 = 0.
-5, -2, 2/7, 1
Solve -7*p**2 - 103*p - 286 = 0 for p.
-11, -26/7
Determine j so that -4*j**3 + 296*j**2 - 4836*j - 24336 = 0.
-4, 39
Suppose 27*d**5 + 4959*d**4 + 226848*d**3 - 80580*d**2 - 200928*d + 101568 = 0. Calculate d.
-92, -1, 2/3
Solve -4*w**5 - 13468*w**4 - 11343420*w**3 - 11329956*w**2 = 0 for w.
-1683, -1, 0
Let u**2 - 1737*u/5 + 694/5 = 0. Calculate u.
2/5, 347
Factor -3*f**4 + 744*f**3 - 45378*f**2 - 93000*f - 46875.
-3*(f - 125)**2*(f + 1)**2
Determine n so that 4*n**3/3 + 56*n**2/3 + 52*n/3 = 0.
-13, -1, 0
Solve 25*s**5/2 - 65*s**4 + 2*s**3 + 57*s**2 - 45*s/2 = 0 for s.
-1, 0, 3/5, 5
Factor 3*y**4 - 2001*y**3 + 7971*y**2 - 9951*y + 3978.
3*(y - 663)*(y - 2)*(y - 1)**2
Factor -5*k**2 - 115*k - 450.
-5*(k + 5)*(k + 18)
Factor 5*p**4 - 55*p**3 - 200*p**2 - 140*p.
5*p*(p - 14)*(p + 1)*(p + 2)
Solve 14*w**3/5 - 2*w**2/15 - 14*w/5 + 2/15 = 0 for w.
-1, 1/21, 1
Solve -4*g**5 - 176*g**4 + 388*g**3 + 896*g**2 - 1104*g = 0 for g.
-46, -2, 0, 1, 3
Factor -5*b**3/4 + 5*b**2/4 + 25*b.
-5*b*(b - 5)*(b + 4)/4
Factor 4*c**5 - 4*c**4 - 20*c**3 - 12*c**2.
4*c**2*(c - 3)*(c + 1)**2
Factor 2*u**4/5 + 84*u**3/5 + 882*u**2/5.
2*u**2*(u + 21)**2/5
Find b such that -4*b**3 - 12*b**2 + 64*b - 48 = 0.
-6, 1, 2
Factor -2*i**5/5 + 18*i**4/5 - 42*i**3/5 + 38*i**2/5 - 12*i/5.
-2*i*(i - 6)*(i - 1)**3/5
Determine a so that a**5/3 + a**4 - 17*a**3/3 - 29*a**2 - 128*a/3 - 20 = 0.
-3, -2, -1, 5
Determine s, given that -s**2/3 + 1246*s/3 = 0.
0, 1246
Factor -3*o**3 - 1044*o**2 - 121104*o - 4682688.
-3*(o + 116)**3
What is q in 10*q**4/7 - 98*q**3 - 976*q**2/7 - 40*q = 0?
-1, -2/5, 0, 70
What is x in 3*x**3 - 45*x**2 + 162*x - 120 = 0?
1, 4, 10
Factor 2*q**4 + 10*q**3 - 68*q**2 - 160*q.
2*q*(q - 5)*(q + 2)*(q + 8)
Let 7*k**5/4 - 93*k**4/4 + 94*k**3 - 123*k**2 + 28*k = 0. What is k?
0, 2/7, 2, 4, 7
Solve 4*h**2 + 108*h - 112 = 0 for h.
-28, 1
Suppose -4*j**5 - 152*j**4 + 20*j**3 + 760*j**2 - 16*j - 608 = 0. Calculate j.
-38, -2, -1, 1, 2
Solve 12*v**5 - 90*v**4 + 1011*v**3/4 - 1359*v**2/4 + 885*v/4 - 225/4 = 0.
1, 5/4, 3
Determine r, given that -3*r**5 + 27*r**4 - 21*r**3 - 27*r**2 + 24*r = 0.
-1, 0, 1, 8
Suppose -c**3/2 - 589*c**2 - 2353*c/2 - 588 = 0. Calculate c.
-1176, -1
Let 2*z**3 + 6*z**2 - 8*z - 24 = 0. Calculate z.
-3, -2, 2
Solve -2*o**4/3 - 10*o**3/9 + 2062*o**2/9 - 2726*o/9 + 680/9 = 0.
-20, 1/3, 1, 17
Let w**3 - 61*w**2 + 1079*w - 5915 = 0. What is w?
13, 35
Factor -3*h**5 - 504*h**4 - 16146*h**3 + 421848*h**2 - 2101707*h.
-3*h*(h - 9)**2*(h + 93)**2
Determine o, given that -2*o**2 - 4004*o - 2004002 = 0.
-1001
Determine b, given that -5*b**5/4 + 5*b**4/4 + 20*b**3 - 20*b**2 = 0.
-4, 0, 1, 4
Factor 5*h**4 - 220*h**3 + 3630*h**2 - 26620*h + 73205.
5*(h - 11)**4
Factor 4*m**4/3 - 20*m**3 - 24*m**2 + 128*m/3.
4*m*(m - 16)*(m - 1)*(m + 2)/3
Let -5*z**5 - 70*z**4 - 115*z**3 + 550*z**2 = 0. What is z?
-11, -5, 0, 2
Let -153*l**5 + 1671*l**4/2 - 1923*l**3/2 + 267*l**2 + 12*l = 0. What is l?
-2/51, 0, 1/2, 1, 4
Determine n, given that 3*n**3/5 + 9*n**2 - 15*n - 225 = 0.
-15, -5, 5
Factor 4*j**5 - 32*j**4 + 24*j**3 + 160*j**2 + 100*j.
4*j*(j - 5)**2*(j + 1)**2
Factor 12*w**4 + 99*w**3 + 216*w**2 + 48*w.
3*w*(w + 4)**2*(4*w + 1)
Factor d**2/3 - 7*d + 30.
(d - 15)*(d - 6)/3
Factor -2*y**3/13 + 168*y**2 - 61152*y + 7419776.
-2*(y - 364)**3/13
Let -2*i**4/5 - 324*i**3/5 - 10274*i**2/5 + 230688*i/5 - 1013888/5 = 0. What is i?
-89, 8
Factor -6*a**4 + 140*a**3 - 768*a**2 - 576*a.
-2*a*(a - 12)**2*(3*a + 2)
Solve 3*u**5 + 15*u**4 + 27*u**3 + 21*u**2 + 6*u = 0 for u.
-2, -1, 0
Determine y, given that -5*y**4 + 115*y**3 + 8370*y**2 = 0.
-31, 0, 54
Determine i, given that 2*i**2/11 - 382*i/11 - 1560/11 = 0.
-4, 195
Solve -3*a**4/4 - 141*a**3/4 + 147*a**2/4 + 141*a/4 - 36 = 0 for a.
-48, -1, 1
Solve 10*g**5/13 - 96*g**4/13 + 290*g**3/13 - 268*g**2/13 + 64/13 = 0 for g.
-2/5, 1, 4
Factor -3*s**3 - 138*s**2 + 1980*s - 6264.
-3*(s - 6)**2*(s + 58)
Find n such that n**5/3 - 23*n**4 + 1154*n**3/3 + 1294*n**2/3 - 385*n - 1225/3 = 0.
-1, 1, 35
Let -2*z**3 + 70*z**2 + 2*z - 70 = 0. Calculate z.
-1, 1, 35
Factor x**5/3 - 7*x**3/3 - 2*x**2.
x**2*(x - 3)*(x + 1)*(x + 2)/3
Factor -5*b**5 + 820*b**4 - 33620*b**3.
-5*b**3*(b - 82)**2
Determine s, given that -2*s**3/5 + 88*s**2/5 - 328*s/5 + 64 = 0.
2, 40
Find f, given that -f**5/6 + 37*f**4/6 + 4*f**3/3 - 148*f**2/3 - 8*f/3 + 296/3 = 0.
-2, 2, 37
Factor -8*n**2/7 - 54*n/7 - 90/7.
-2*(n + 3)*(4*n + 15)/7
Factor r**2 - 20*r + 91.
(r - 13)*(r - 7)
Solve 3*o**2/5 - 66*o/5 + 336/5 = 0 for o.
8, 14
Suppose -2*a**4/3 + 94*a**3 + 384*a**2 + 1160*a/3 = 0. What is a?
-2, 0, 145
Factor -j**5 + 21*j**4 - 19*j**3 - 21*j**2 + 20*j.
-j*(j - 20)*(j - 1)**2*(j + 1)
Let -4*b**5 - 16*b**4 - 12*b**3 + 16*b**2 + 16*b = 0. What is b?
-2, -1, 0, 1
Let 328*p**2/3 - 110*p + 2/3 = 0. What is p?
1/164, 1
Find x, given that -3*x**5 - 24*x**4 + 1416*x**3 - 11082*x**2 + 23787*x - 14094 = 0.
-29, 1, 2, 9
Find k, given that 3*k**5 + 15*k**4 - 42*k**3 + 6*k**2 + 39*k - 21 = 0.
-7, -1, 1
Factor 2*f**3/9 - 4*f**2/3 + 2*f.
2*f*(f - 3)**2/9
Factor 3*v**2/8 + 60*v + 2400.
3*(v + 80)**2/8
Factor -11*v**2/8 - 31*v/8 + 3/4.
-(v + 3)*(11*v - 2)/8
Determine i so that i**5/3 - 21*i**4 - 137*i**3/3 + 145*i**2 + 1288*i/3 + 260 = 0.
-2, -1, 3, 65
Factor -m**4/3 - 8*m**3/3 - 22*m**2/3 - 8*m - 3.
-(m + 1)**2*(m + 3)**2/3
Find k, given that -25*k**5/4 + 205*k**4/2 - 855*k**3/2 + 655*k**2 - 1625*k/4 + 165/2 = 0.
2/5, 1, 3, 11
Suppose v**5/9 + 4*v**4/9 - 20*v**3/3 