or -2*a**3/9 - 2*a**2/9 + 8*a/9 + 8/9.
-2*(a - 2)*(a + 1)*(a + 2)/9
Factor -2*k**2 + 28*k + 30.
-2*(k - 15)*(k + 1)
Solve -2*m**2 + 2488*m - 773768 = 0 for m.
622
Solve -2*q**2/3 - 314*q/3 + 1288/3 = 0 for q.
-161, 4
What is p in 4*p**5/3 - 20*p**4/3 + 8*p**3/3 + 56*p**2/3 - 4*p - 12 = 0?
-1, 1, 3
Suppose -3*k**2/4 + 39*k/4 - 33/2 = 0. What is k?
2, 11
Suppose -3*f**4 + 21*f**3 + 9*f**2 - 57*f - 42 = 0. Calculate f.
-1, 2, 7
Factor -13*r**2 - 29*r/3 + 10/3.
-(r + 1)*(39*r - 10)/3
Solve 2*n**2 + 66*n + 64 = 0 for n.
-32, -1
Find u such that -4*u**5/9 + 8*u**4/9 + 100*u**3/9 - 440*u**2/9 + 208*u/3 - 32 = 0.
-6, 1, 2, 3
Factor -2*p**5/13 + 72*p**4/13 - 716*p**3/13 + 1224*p**2/13 - 578*p/13.
-2*p*(p - 17)**2*(p - 1)**2/13
Factor j**3/5 - 44*j**2/5 + 17*j - 42/5.
(j - 42)*(j - 1)**2/5
Factor 5*x**2 + 35*x - 720.
5*(x - 9)*(x + 16)
Suppose 9*b**5/2 - 3*b**4/2 - 13*b**3 + 14*b**2 - 4*b = 0. What is b?
-2, 0, 2/3, 1
Let 4*w**5 - 432*w**4 + 12088*w**3 - 22896*w**2 + 11236*w = 0. What is w?
0, 1, 53
Determine m so that -2*m**2 - 270*m + 2592 = 0.
-144, 9
Factor -d**2/2 - 47*d/2 - 23.
-(d + 1)*(d + 46)/2
Factor -l**3/4 + 2217*l**2/2 - 1638363*l + 807166838.
-(l - 1478)**3/4
What is c in -c**3/3 + 35*c**2/6 - 137*c/6 + 10 = 0?
1/2, 5, 12
Solve -2*o**5/3 + 4*o**4/3 + 22*o**3/3 - 8*o**2 - 24*o = 0.
-2, 0, 3
Determine r, given that -r**2 - 23*r - 42 = 0.
-21, -2
Find r such that 4*r**4/3 - 20*r**3 - 432*r**2 = 0.
-12, 0, 27
Let -2*j**2 + 482*j = 0. What is j?
0, 241
Determine j so that -j**3 + 14*j**2 + 17*j - 30 = 0.
-2, 1, 15
Find b such that 2*b**3/7 - 536*b**2/7 + 5206*b - 10108 = 0.
2, 133
Factor y**3/3 + 19*y**2/3 - 64*y/3 + 44/3.
(y - 2)*(y - 1)*(y + 22)/3
Factor 2*s**2/7 + 18*s/7 - 180/7.
2*(s - 6)*(s + 15)/7
Solve 3*a**3 + 19*a**2 + 40*a + 28 = 0.
-7/3, -2
Factor 2*y**2 + 16*y - 546.
2*(y - 13)*(y + 21)
Factor 3*b**3/4 + 63*b**2/2 + 123*b/4.
3*b*(b + 1)*(b + 41)/4
What is r in 3*r**2 - 33*r + 30 = 0?
1, 10
Let -3*g**2/5 - 558*g/5 - 25947/5 = 0. Calculate g.
-93
Let 9*q**4 - 9789*q**3 + 2669937*q**2 - 4429251*q + 1769094 = 0. Calculate q.
2/3, 1, 543
Factor -g**3/6 - 2*g**2/3 + 2*g/3 + 8/3.
-(g - 2)*(g + 2)*(g + 4)/6
Solve -z**3/6 + 365*z**2/6 - 11041*z/2 - 11163/2 = 0 for z.
-1, 183
Factor -172*s**2/11 - 1206*s/11 - 14/11.
-2*(s + 7)*(86*s + 1)/11
Factor 2*l**5/7 + 788*l**4/7 + 79178*l**3/7 + 307320*l**2/7 + 304200*l/7.
2*l*(l + 2)**2*(l + 195)**2/7
Let -3*p**5/4 + 3*p**4/2 + 3*p**3/4 - 3*p**2/2 = 0. Calculate p.
-1, 0, 1, 2
Find k, given that -k**4 + 744*k**3 - 4440*k**2 + 8864*k - 5904 = 0.
2, 738
Factor -k**5 + 64*k**4 + 132*k**3 + 2*k**2 - 131*k - 66.
-(k - 66)*(k - 1)*(k + 1)**3
Factor -2*r**2/3 + 92*r/3 + 94/3.
-2*(r - 47)*(r + 1)/3
Factor -4*a**3/3 - 208*a**2/3 - 1468*a/3 - 880.
-4*(a + 3)*(a + 5)*(a + 44)/3
Determine d so that 2*d**3/13 - 10*d**2/13 + 8*d/13 = 0.
0, 1, 4
Factor -3*l**4 + 84*l**3 + 375*l**2 + 288*l.
-3*l*(l - 32)*(l + 1)*(l + 3)
Factor -s**5/8 - 13*s**4/8 - 15*s**3/2 - 16*s**2 - 16*s - 6.
-(s + 1)*(s + 2)**3*(s + 6)/8
Solve 2*f**5/15 - 58*f**4/15 + 418*f**3/15 + 58*f**2/15 - 28*f = 0.
-1, 0, 1, 14, 15
Solve 2*t**2/5 - 532*t/5 + 35378/5 = 0 for t.
133
Factor s**4/4 + 549*s**3/4 + 545*s**2/2 - 549*s - 1094.
(s - 2)*(s + 2)**2*(s + 547)/4
Determine r so that -r**4/5 - r**3/5 + 27*r**2 + 185*r + 350 = 0.
-5, 14
Let 2*y**3/7 - 30*y**2/7 + 16*y = 0. Calculate y.
0, 7, 8
Find t, given that -5*t**4 - 90*t**3 - 240*t**2 - 230*t - 75 = 0.
-15, -1
Solve -q**2/2 - 3*q + 7/2 = 0 for q.
-7, 1
Solve 162*f**5 + 252*f**4 + 26*f**3 - 56*f**2 + 8*f = 0 for f.
-1, 0, 2/9
Factor -19*g**3/8 + 63*g**2/8 - 7*g + 3/2.
-(g - 2)*(g - 1)*(19*g - 6)/8
Solve -3*s**3 + 75*s**2/2 - 114*s + 48 = 0 for s.
1/2, 4, 8
Solve -24*k**2/7 + 1125*k/7 + 141/7 = 0.
-1/8, 47
Find p such that 5*p**4 - 155*p**3 + 1485*p**2 - 3025*p - 13310 = 0.
-2, 11
Factor -q**4/2 + 102*q**3 + q**2/2 - 102*q.
-q*(q - 204)*(q - 1)*(q + 1)/2
Factor 3*l**2 - 6*l - 9.
3*(l - 3)*(l + 1)
Factor j**2/3 - j + 2/3.
(j - 2)*(j - 1)/3
Factor 8*s**4/19 + 184*s**3/19 + 1226*s**2/19 + 1932*s/19 + 882/19.
2*(s + 1)**2*(2*s + 21)**2/19
Determine c so that 2*c**2/3 - 22*c/3 + 16 = 0.
3, 8
Factor -4*s**3/5 + 72*s**2/5 - 356*s/5 + 528/5.
-4*(s - 11)*(s - 4)*(s - 3)/5
Factor t**4/7 + 30*t**3 - 1287*t**2/7 + 1940*t/7 - 864/7.
(t - 4)*(t - 1)**2*(t + 216)/7
What is n in n**3/6 + 5*n**2/6 - 6*n - 30 = 0?
-6, -5, 6
Factor -h**2/8 + 71*h/4 - 35.
-(h - 140)*(h - 2)/8
Factor -33*m**3 - 17*m**2 + 20*m + 4.
-(m + 1)*(3*m - 2)*(11*m + 2)
Factor 5*z**3 + 11050*z**2 - 5*z - 11050.
5*(z - 1)*(z + 1)*(z + 2210)
Suppose 2*h**2/9 + 14*h/9 - 4 = 0. Calculate h.
-9, 2
What is w in 2*w**5/7 + 16*w**4/7 - 24*w**3/7 - 44*w**2/7 + 86*w/7 - 36/7 = 0?
-9, -2, 1
Solve k**3/2 - 90*k**2 + 3864*k + 16928 = 0 for k.
-4, 92
Let -7442*v**3/9 + 488*v**2/9 - 8*v/9 = 0. What is v?
0, 2/61
Factor -5*o**2 + 80*o - 75.
-5*(o - 15)*(o - 1)
Factor s**4/3 - s**3/3 - 8*s**2/3 + 4*s.
s*(s - 2)**2*(s + 3)/3
Let -2*a**3 - 210*a**2 + 426*a - 214 = 0. What is a?
-107, 1
Let 3*q**3 + 204*q**2 + 4503*q + 32490 = 0. What is q?
-30, -19
Find w such that w**2 - 975*w - 976 = 0.
-1, 976
Factor -4*g**2/3 - 56*g/3.
-4*g*(g + 14)/3
Let 20*z**5 + 35*z**4 - 90*z**3 - 20*z**2 + 70*z - 15 = 0. What is z?
-3, -1, 1/4, 1
Solve c**5 + 9*c**4 + 32*c**3 + 56*c**2 + 48*c + 16 = 0 for c.
-2, -1
Solve -4*d**2/5 - 4512*d/5 - 1272384/5 = 0 for d.
-564
Factor -h**2 - 131*h + 540.
-(h - 4)*(h + 135)
Find u such that -3*u**4 - 48*u**3 + 162*u**2 - 168*u + 57 = 0.
-19, 1
Factor 7*p**2 - 145*p/3 + 46/3.
(3*p - 1)*(7*p - 46)/3
Let -c**3/3 + 21*c**2 - 377*c + 4205/3 = 0. What is c?
5, 29
Determine q, given that q**3 + 6*q**2 + 11*q + 6 = 0.
-3, -2, -1
Factor 4*k**3/5 - 2*k**2/5 - 2*k - 4/5.
2*(k - 2)*(k + 1)*(2*k + 1)/5
Determine t so that 3*t**4 - 3*t**3 - 18*t**2 + 12*t + 24 = 0.
-2, -1, 2
Factor -2*c**3/11 + 212*c**2/11.
-2*c**2*(c - 106)/11
Factor 2*w**5 - 142*w**4 + 3452*w**3 - 30820*w**2 + 51842*w - 24334.
2*(w - 23)**3*(w - 1)**2
Suppose 5*p**5 + 35*p**4 + 25*p**3 - 35*p**2 - 30*p = 0. What is p?
-6, -1, 0, 1
Solve -14*m**2 - 2440*m - 696 = 0 for m.
-174, -2/7
Suppose 4*n**4 - 152*n**3 + 564*n**2 - 688*n + 272 = 0. Calculate n.
1, 2, 34
Find b such that -1521*b**2 - 78*b - 1 = 0.
-1/39
Factor 2*d**4 + 2*d**3.
2*d**3*(d + 1)
Factor 3*f**2/5 + 417*f/5 - 1278/5.
3*(f - 3)*(f + 142)/5
Factor 2*d**3/7 - 94*d**2/7 + 88*d/7 + 184/7.
2*(d - 46)*(d - 2)*(d + 1)/7
Factor 5*z**2 - 100*z.
5*z*(z - 20)
Factor -5*r**2 + 280*r + 580.
-5*(r - 58)*(r + 2)
Factor w**2 + 78*w + 845.
(w + 13)*(w + 65)
Determine l, given that -50*l**5/9 - 340*l**4/9 + 334*l**3/3 + 52*l**2/9 - 520*l/9 - 16 = 0.
-9, -2/5, 1, 2
Factor -5*p**3 - 25*p**2 + 5*p + 25.
-5*(p - 1)*(p + 1)*(p + 5)
Solve -5*l**5 - 30*l**4 + 95*l**3 + 280*l**2 - 900*l + 560 = 0.
-7, -4, 1, 2
Factor -5*p**5 + 25*p**4 - 45*p**3 + 35*p**2 - 10*p.
-5*p*(p - 2)*(p - 1)**3
Factor -2*s**3 + 230*s**2 - 3654*s + 15714.
-2*(s - 97)*(s - 9)**2
Solve 2*m**3/3 - 6*m**2 + 4*m + 32/3 = 0 for m.
-1, 2, 8
Factor -4*y**3 + 104*y**2 + 4*y - 104.
-4*(y - 26)*(y - 1)*(y + 1)
Factor -2*j**3/5 - 2*j**2/5 + 18*j/5 + 18/5.
-2*(j - 3)*(j + 1)*(j + 3)/5
Suppose -4*q**3/3 + 848*q**2/3 - 6592*q/3 + 4352 = 0. Calculate q.
4, 204
Factor 14*p**2/5 - 6*p/5 - 4.
2*(p + 1)*(7*p - 10)/5
Factor -f**4/4 + 3*f**3/2 - 11*f/2 - 15/4.
-(f - 5)*(f - 3)*(f + 1)**2/4
Find x such that -2*x**2/9 - 182*x/9 - 3596/9 = 0.
-62, -29
Let -4*l**4 - 180*l**3 - 348*l**2 + 43732*l = 0. Calculate l.
-29, 0, 13
Factor 2*p**4 - 64*p**3 - 770*p**2 + 29224*p - 28392.
2*(p - 26)**2*(p - 1)*(p + 21)
Determine n, given that 3*n**4/4 + 5*n**3 + 35*n**2/4 + 5*n/2 - 2 = 0.
-4, -2, -1, 1/3
Solve 3*z**3 + 33*z**2 - 168*z + 180 = 0 for z.
-15, 2
Solve q**4/3 + 100*q**3/3 + 98*q**2 + 292*q/3 + 97/3 = 0.
-97, -1
Factor h**2/5 - 74*h/5 - 567/5.
(h - 81)*(h + 7)/5
Factor -2*s**4/9 + 20*s**3/9 - 58*s**2/9 + 40*s/9.
-2*s*(s - 5)*(s - 4)*(s - 1)/9
Factor a**2 + 8*a.
a*(a + 8)
Determine o so that 46*o**2/5 + 2*o/5 = 0.
-1/23, 0
Factor 3*a**4/7 - 15*a**3/7 - 3*a**2/7 + 51*a/7 + 36/7.
3*(a - 4)*(a - 3)*(a + 1)**2/7
Let 512*g**3/3 + 160*g**2 - 21*g/2 + 1/6 = 0. What is g?
-1, 1/32
Find c, given that 3*c**3 - 3192*c**2 + 852255*c - 1691766 = 0.
2, 531
Factor o**5/3 + 8*o**4/3 + 2*o**3 - 8*o**2/3 - 7*o/3.
o*(o - 1)*(