-4*i**2 - 316*i - 312 = 0. Calculate i.
-78, -1
Solve 21*v**5 - 1560*v**4 + 29172*v**3 - 6654*v**2 - 29193*v + 8214 = 0 for v.
-1, 2/7, 1, 37
Determine h, given that 9*h**5 + 21*h**4 - 27*h**3 - 21*h**2 + 18*h = 0.
-3, -1, 0, 2/3, 1
Factor -12*u**3 - 312*u**2 - 303*u - 75.
-3*(u + 25)*(2*u + 1)**2
Factor 2*c**3/15 + 14*c**2 + 1802*c/5 - 5618/15.
2*(c - 1)*(c + 53)**2/15
What is a in -4*a**4/3 + 32*a**3/3 + 292*a**2/3 + 592*a/3 + 112 = 0?
-3, -2, -1, 14
Determine u, given that -2*u**3 + 62*u**2 - 356*u + 480 = 0.
2, 5, 24
Determine v so that 3*v**5 + 9*v**4 - 3*v**3 - 9*v**2 = 0.
-3, -1, 0, 1
Factor -2*h**3/21 - 16*h**2/21 + 242*h/21 - 32/3.
-2*(h - 7)*(h - 1)*(h + 16)/21
What is q in 52*q**5/7 - 44*q**4/7 - 16*q**3 - 16*q**2/7 = 0?
-1, -2/13, 0, 2
Factor -3*c**3/4 - 243*c**2/2 - 5985*c - 93138.
-3*(c + 38)**2*(c + 86)/4
Find c such that 98*c**5 + 3486*c**4 + 5104*c**3 - 4592*c**2 - 3552*c - 544 = 0.
-34, -2, -2/7, 1
Factor -2*k**2/3 - 1676*k/3 + 1120.
-2*(k - 2)*(k + 840)/3
Solve 75*m**5 + 615*m**4 + 1482*m**3 + 1554*m**2 + 747*m + 135 = 0.
-5, -1, -3/5
Factor y**5/4 + 13*y**4/4 + 15*y**3/2.
y**3*(y + 3)*(y + 10)/4
Factor 3*y**2 + 198*y + 3267.
3*(y + 33)**2
Solve -4*y**5/5 - 8*y**4/5 + 28*y**3/5 + 32*y**2/5 - 48*y/5 = 0.
-3, -2, 0, 1, 2
Factor -u**3 + 15*u**2.
-u**2*(u - 15)
Factor -2*b**3/5 - 6*b**2 + 32*b/5.
-2*b*(b - 1)*(b + 16)/5
Determine c, given that -4*c**2 - 204*c + 1888 = 0.
-59, 8
Determine m so that -4*m**3/7 - 11632*m**2/7 - 8479680*m/7 - 33732864/7 = 0.
-1452, -4
Determine a so that -28*a**4 - 456*a**3 - 1920*a**2 - 512*a = 0.
-8, -2/7, 0
Factor 4*h**2/7 + 36*h/7 + 80/7.
4*(h + 4)*(h + 5)/7
Find m, given that m**3/5 - 118*m**2/5 - 869*m/5 - 150 = 0.
-6, -1, 125
Find a such that -2*a**3 + 22*a**2 - 38*a + 18 = 0.
1, 9
Factor -4*j**3 - 120*j**2 - 432*j + 7776.
-4*(j - 6)*(j + 18)**2
Find m such that 3*m**4 - 21*m**3 + 51*m**2 - 51*m + 18 = 0.
1, 2, 3
Factor 5*f**3 + 1365*f**2 + 124215*f + 3767855.
5*(f + 91)**3
Solve -2*p**3/5 + 2124*p**2/5 - 751896*p/5 + 88723728/5 = 0 for p.
354
Determine u so that 2*u**2/15 + 10432*u/15 + 13603328/15 = 0.
-2608
Factor 4*w**4 - 28*w**3 + 32*w**2 + 64*w.
4*w*(w - 4)**2*(w + 1)
Determine r so that -5*r**3 - 14*r**2 + 3*r = 0.
-3, 0, 1/5
Find n such that -10*n**5/7 + 44*n**4/7 - 108*n**2/7 - 54*n/7 = 0.
-1, -3/5, 0, 3
Factor -b**4 - 38*b**3 - 312*b**2.
-b**2*(b + 12)*(b + 26)
Factor 2*x**2 + 92*x.
2*x*(x + 46)
Determine z, given that -2*z**4/9 + 14*z**3/3 + 10*z**2 + 46*z/9 = 0.
-1, 0, 23
Factor 64*l**3 - 1328*l**2 - 335*l - 21.
(l - 21)*(8*l + 1)**2
Solve 2*p**4 + 70*p**3 + 300*p**2 = 0 for p.
-30, -5, 0
Determine h, given that -h**5 - 12*h**4 + 22*h**3 + 108*h**2 - 117*h = 0.
-13, -3, 0, 1, 3
Factor -3*a**3 - 291*a**2 - 7200*a - 6912.
-3*(a + 1)*(a + 48)**2
Factor 2*j**4/7 - 150*j**3/7 - 306*j**2/7 - 22*j.
2*j*(j - 77)*(j + 1)**2/7
Suppose 3*m**3/7 - 9*m**2/7 - 75*m/7 + 225/7 = 0. Calculate m.
-5, 3, 5
Factor -6*c**3/5 + 46*c**2/5 + 16*c - 72/5.
-2*(c - 9)*(c + 2)*(3*c - 2)/5
Find n, given that 3*n**5/7 + 33*n**4/7 + 102*n**3/7 + 72*n**2/7 = 0.
-6, -4, -1, 0
Solve 3*t**5 - 15*t**4 - 150*t**3 + 270*t**2 + 2835*t + 3969 = 0.
-3, 7
Let -4*z**3 + 236*z**2 - 3596*z + 3364 = 0. Calculate z.
1, 29
Find j, given that -3*j**2 + 111*j - 936 = 0.
13, 24
Factor -5*n**4 + 355*n**3 + 725*n**2 + 365*n.
-5*n*(n - 73)*(n + 1)**2
Suppose -2*s**5/7 + 18*s**4/7 + 4*s**3/7 - 36*s**2/7 - 2*s/7 + 18/7 = 0. What is s?
-1, 1, 9
Factor 4*t**2 + 1992*t + 248004.
4*(t + 249)**2
Factor -3*q**3 + 84*q**2 + 48*q - 1344.
-3*(q - 28)*(q - 4)*(q + 4)
Factor 2*w**4/5 - 96*w**3/5 + 828*w**2/5 + 7776*w/5 + 13122/5.
2*(w - 27)**2*(w + 3)**2/5
Find a such that -15*a**4 + 244*a**3 - 780*a**2 + 128*a + 192 = 0.
-2/5, 2/3, 4, 12
Let 3*j**4 - 1221*j**3 - 12435*j**2 - 31275*j = 0. What is j?
-5, 0, 417
Factor -10*k**4 + 6*k**3 + 24*k**2 + 8*k.
-2*k*(k - 2)*(k + 1)*(5*k + 2)
Let -j**2 + 2*j - 1 = 0. Calculate j.
1
What is d in 3*d**4/4 - 123*d**3/4 - 435*d**2/4 + 42891*d/4 = 0?
-17, 0, 29
Let -3*x**3/7 - 72*x**2/7 - 384*x/7 = 0. What is x?
-16, -8, 0
Factor -u**3/5 + 4*u**2/5 + 7*u/5 - 2.
-(u - 5)*(u - 1)*(u + 2)/5
Determine p so that -6*p**3/5 - 86*p**2/5 + 156*p/5 - 64/5 = 0.
-16, 2/3, 1
What is c in 3*c**4/8 + 57*c**3/2 + 1791*c**2/4 - 7257*c/2 + 25215/8 = 0?
-41, 1, 5
Let -36*h**2 + 101980*h + 22664 = 0. Calculate h.
-2/9, 2833
Find k such that k**5 - 11*k**3 + 18*k**2 - 8*k = 0.
-4, 0, 1, 2
Find f, given that -3*f**3/4 - 19*f**2/4 + 21*f/2 + 4 = 0.
-8, -1/3, 2
Suppose -t**2/3 - t + 4/3 = 0. What is t?
-4, 1
Factor 5*g**2 - 105*g + 100.
5*(g - 20)*(g - 1)
Determine k, given that -51*k**2/5 - 147*k/5 + 18/5 = 0.
-3, 2/17
Factor 27*h**3 + 285*h**2 + 138*h - 120.
3*(h + 1)*(h + 10)*(9*h - 4)
Factor 5*q**2 - 8230*q + 3386645.
5*(q - 823)**2
Find c such that -2*c**2 + 508*c - 32258 = 0.
127
Solve r**4/3 + 10*r**3/3 + 3*r**2 - 36*r - 36 = 0 for r.
-6, -1, 3
Factor -2*s**2/7 - 146*s/7 + 88.
-2*(s - 4)*(s + 77)/7
Factor -2*c**4 - 58*c**3 - 466*c**2 - 1310*c - 900.
-2*(c + 1)*(c + 5)**2*(c + 18)
Factor -3*b**3/5 - 12*b**2/5.
-3*b**2*(b + 4)/5
Factor 2*w**3/3 + 8*w**2/3 - 40*w.
2*w*(w - 6)*(w + 10)/3
Factor 3*r**4 - 174*r**3 - 6156*r**2 - 59778*r - 185895.
3*(r - 85)*(r + 9)**3
Factor 2*d**4/7 - 6*d**3 - 90*d**2/7 - 46*d/7.
2*d*(d - 23)*(d + 1)**2/7
Determine f, given that -4*f**5/5 - 1072*f**4/5 + 8736*f**3/5 - 26368*f**2/5 + 35264*f/5 - 17664/5 = 0.
-276, 2
Find l, given that -4*l**3 + 56*l**2 - 256*l + 384 = 0.
4, 6
Suppose -x**4/3 - x**3/3 + x**2 + x/3 - 2/3 = 0. What is x?
-2, -1, 1
Solve -u**3/6 - 110*u**2/3 - 437*u/6 - 109/3 = 0.
-218, -1
Determine r so that -3*r**3 - 837*r**2 - 1665*r - 831 = 0.
-277, -1
Factor 4*i**2 - 268*i - 5312.
4*(i - 83)*(i + 16)
Factor 3*i**4 + 2829*i**3 + 662661*i**2 - 2024913*i - 2684748.
3*(i - 4)*(i + 1)*(i + 473)**2
Factor 3*r**2 - 1476*r - 2964.
3*(r - 494)*(r + 2)
Determine v so that -v**2/8 + v/2 + 5/8 = 0.
-1, 5
Factor 2*l**2 + 104*l + 1352.
2*(l + 26)**2
Solve 2*s**2/7 + 34*s/7 + 144/7 = 0 for s.
-9, -8
Factor o**5 - 10*o**4 + 34*o**3 - 36*o**2 - 27*o + 54.
(o - 3)**3*(o - 2)*(o + 1)
Factor -a**5 - 18*a**4 + 82*a**3 - 128*a**2 + 87*a - 22.
-(a - 1)**4*(a + 22)
Factor u**3 + 6*u**2 - 96*u - 640.
(u - 10)*(u + 8)**2
Determine q so that 2*q**3 - 11230*q**2 + 15758496*q + 15769728 = 0.
-1, 2808
Factor 3*d**2 - 483*d/4 + 30.
3*(d - 40)*(4*d - 1)/4
Let 6*f**2/11 + 5700*f/11 = 0. Calculate f.
-950, 0
Factor n**4 - 17*n**3 + 15*n**2 + 17*n - 16.
(n - 16)*(n - 1)**2*(n + 1)
Factor q**2 - 9*q + 18.
(q - 6)*(q - 3)
Factor 3*b**3/4 - 219*b**2/2 + 15987*b/4.
3*b*(b - 73)**2/4
What is n in -3*n**4 - 75*n**3 - 342*n**2 + 1596*n - 1176 = 0?
-14, 1, 2
What is g in 3*g**3/2 - 147*g**2/2 + 285*g/2 - 141/2 = 0?
1, 47
Determine w, given that 2*w**2/7 - 958*w/7 - 960/7 = 0.
-1, 480
Let 3*f**4/8 - 15*f**3/4 + 9*f**2/2 + 15*f - 24 = 0. Calculate f.
-2, 2, 8
Factor -3*t**4 - 444*t**3 - 17658*t**2 - 87756*t + 105861.
-3*(t - 1)*(t + 7)*(t + 71)**2
Factor -u**3 - 18*u**2 + 19*u.
-u*(u - 1)*(u + 19)
Determine k so that -6*k**4/5 - 3367*k**3/5 - 3911*k**2/5 + 5038*k/5 - 224 = 0.
-560, -2, 1/3, 1/2
Suppose -2*p**5/11 + 28*p**4/11 - 156*p**3/11 + 432*p**2/11 - 54*p + 324/11 = 0. Calculate p.
2, 3
What is r in -r**3/3 - 95*r**2/3 + 193*r/3 - 97/3 = 0?
-97, 1
Let -3*p**2 + 1419*p + 2850 = 0. What is p?
-2, 475
Suppose -2*a**3 + 60*a**2 - 54*a - 116 = 0. What is a?
-1, 2, 29
Find i such that 5*i**3 - 35*i**2 + 50*i = 0.
0, 2, 5
Determine c, given that 5*c**4 + 25*c**3 + 25*c**2 - 25*c - 30 = 0.
-3, -2, -1, 1
Factor 2*r**3/3 - 14*r**2/3 - 20*r/3 + 32/3.
2*(r - 8)*(r - 1)*(r + 2)/3
Solve -10*l**3/11 + 56*l**2/11 + 424*l/11 + 160/11 = 0.
-4, -2/5, 10
Factor -v**4/2 - 4*v**3 - 10*v**2 - 8*v.
-v*(v + 2)**2*(v + 4)/2
Suppose -4*i**4 - 112*i**3 - 884*i**2 - 1352*i = 0. What is i?
-13, -2, 0
Suppose -w**2 - 18376*w - 84419344 = 0. What is w?
-9188
Factor -8*j**3/5 - 78*j**2/5 - 36*j + 10.
-2*(j + 5)**2*(4*j - 1)/5
Factor 5*d**3 + 235*d**2 - 240*d.
5*d*(d - 1)*(d + 48)
What is i in -255*i**2 + 96*i - 9 = 0?
3/17, 1/5
Suppose -2*m**2 + 6*m + 80 = 0. Calculate m.
-5, 8
Solve -45*v**5/4 - 2395*v**4/4 - 695*v**3 + 1045*v**2 + 260*v = 0.
-52, -2, -2/9, 0, 1
Factor t**4 + 88*t**3.
t**3*(t + 88)
Factor -4*o**3/3 + 55*o**2/3 - 38*o/3 - 13/3.
-(o - 1