3 = 0.
0, 29
What is d in -4*d**4 - 3452*d**3 - 743032*d**2 + 753408*d + 1492992 = 0?
-432, -1, 2
Find t such that -125*t**5 + 775*t**4 - 6365*t**3/4 + 2491*t**2/2 - 415*t + 50 = 0.
2/5, 5/2
Factor -5*u**3 - 120*u**2 + 1280*u.
-5*u*(u - 8)*(u + 32)
Factor -2*a**2 - 30*a - 100.
-2*(a + 5)*(a + 10)
Determine v, given that -2*v**2 + 484*v - 960 = 0.
2, 240
Factor 4*p**2 + 40*p - 96.
4*(p - 2)*(p + 12)
Factor 4*z**3 + 76*z**2 + 64*z - 144.
4*(z - 1)*(z + 2)*(z + 18)
Determine q, given that 125*q**3 + 2150*q**2 - 1780*q + 360 = 0.
-18, 2/5
Factor 3*k**3/7 - 9*k**2/7 + 6*k/7.
3*k*(k - 2)*(k - 1)/7
Factor -3*k**2 - 1458*k.
-3*k*(k + 486)
Determine b, given that -15*b**3/4 - 327*b**2/4 - 63*b = 0.
-21, -4/5, 0
Let -5*z**3 + 710*z**2 - 705*z = 0. Calculate z.
0, 1, 141
Let -k**4 - 266*k**3 - 17421*k**2 + 35644*k - 17956 = 0. Calculate k.
-134, 1
Factor 2*k**4/9 + 8*k**3/9 - 2*k**2/3 - 20*k/9 + 16/9.
2*(k - 1)**2*(k + 2)*(k + 4)/9
Factor -5*k**5 + 10*k**4 - 5*k**3.
-5*k**3*(k - 1)**2
Factor 2*c**5/7 - 10*c**4/7 + 6*c**3/7 + 18*c**2/7.
2*c**2*(c - 3)**2*(c + 1)/7
Factor -5*d**2 - 1655*d + 1660.
-5*(d - 1)*(d + 332)
Factor 300*y**3 + 8940*y**2 - 1797*y + 90.
3*(y + 30)*(10*y - 1)**2
What is l in -3*l**4/2 - 48*l**3 - 429*l**2 - 720*l - 675/2 = 0?
-15, -1
Factor -6*y**3 + 676*y**2 - 448*y.
-2*y*(y - 112)*(3*y - 2)
Suppose -p**2/4 - 21*p + 85/4 = 0. Calculate p.
-85, 1
Find f, given that 2*f**2/5 - 82*f/5 + 156 = 0.
15, 26
Suppose 2*c**3/15 + 24*c**2/5 + 216*c/5 = 0. Calculate c.
-18, 0
Factor 3*j**5 + 21*j**4 - 114*j**3 - 720*j**2.
3*j**2*(j - 6)*(j + 5)*(j + 8)
Factor 3*i**5 + 159*i**4 + 657*i**3 - 2955*i**2 + 3288*i - 1152.
3*(i - 1)**3*(i + 8)*(i + 48)
Find s such that -s**2 - 65*s = 0.
-65, 0
Suppose 2*c**4/3 - 2*c**3/9 - 2*c**2/3 + 2*c/9 = 0. What is c?
-1, 0, 1/3, 1
Solve 2*q**3/7 - 90*q**2/7 + 256*q/7 - 24 = 0 for q.
1, 2, 42
Determine p, given that 3*p**2/4 - 33*p/4 + 27/2 = 0.
2, 9
Factor 3*u**2 - 1209*u - 2430.
3*(u - 405)*(u + 2)
Factor -u**3 + 28*u**2 + 533*u.
-u*(u - 41)*(u + 13)
Factor 2*h**2/3 + 154*h + 460/3.
2*(h + 1)*(h + 230)/3
Factor -5*s**4 + 80*s**3 + 270*s**2 + 280*s + 95.
-5*(s - 19)*(s + 1)**3
Factor b**4/8 + 3*b**3/8 - b**2/2 - 3*b/2.
b*(b - 2)*(b + 2)*(b + 3)/8
Let 5*c**2/4 + 5435*c/2 + 5907845/4 = 0. Calculate c.
-1087
Determine m so that -2*m**2/5 - 88*m/5 - 174 = 0.
-29, -15
Factor 5*y**3 + 460*y**2 - 935*y + 470.
5*(y - 1)**2*(y + 94)
Factor 3*a**4/4 + 645*a**3/8 + 5751*a**2/2 + 33534*a - 17496.
3*(a + 36)**3*(2*a - 1)/8
Solve s**3/2 + 13*s**2 + 151*s/2 + 63 = 0 for s.
-18, -7, -1
What is b in b**2 + 43*b - 188 = 0?
-47, 4
Factor 2*r**2 - 1652*r - 1654.
2*(r - 827)*(r + 1)
Solve -2*t**3/9 - 112*t**2/3 + 152*t - 1376/9 = 0 for t.
-172, 2
Suppose -2*p**2 - 1858*p + 3724 = 0. Calculate p.
-931, 2
Determine h so that 25*h**4 + 2135*h**3 + 5025*h**2 + 3745*h + 830 = 0.
-83, -1, -2/5
Factor -16*a**2 + 41*a - 18.
-(a - 2)*(16*a - 9)
Factor 4*q**5 + 36*q**4 + 68*q**3 - 132*q**2 - 360*q.
4*q*(q - 2)*(q + 3)**2*(q + 5)
What is d in -2*d**5/5 - 38*d**4/5 - 224*d**3/5 - 384*d**2/5 = 0?
-8, -3, 0
Find z such that z**2/7 + 5*z/7 + 4/7 = 0.
-4, -1
Factor -2*p**3/15 - 20*p**2 - 3848*p/5 - 21904/15.
-2*(p + 2)*(p + 74)**2/15
Factor 9*l**2/7 + 12*l/7.
3*l*(3*l + 4)/7
Determine p, given that -p**5/2 + 7*p**3/2 - 3*p**2 = 0.
-3, 0, 1, 2
Factor -5*z**3 - 100*z**2 + 1985*z + 2080.
-5*(z - 13)*(z + 1)*(z + 32)
Determine t, given that -2*t**4 - 52*t**3 - 386*t**2 - 624*t - 288 = 0.
-12, -1
What is c in -4*c**2 - 216*c + 684 = 0?
-57, 3
Determine l, given that -2*l**2/9 + 10*l/3 - 52/9 = 0.
2, 13
Suppose 6*f**5 + 46*f**4 - 140*f**3 + 8*f**2 + 80*f = 0. Calculate f.
-10, -2/3, 0, 1, 2
Factor -4*i**3 + 8*i**2 + 28*i + 16.
-4*(i - 4)*(i + 1)**2
Factor b**3/7 - 18*b**2/7 + 60*b/7 - 8.
(b - 14)*(b - 2)**2/7
Solve 4*h**4/7 - 28*h**3 + 420*h**2 - 2548*h + 5488 = 0 for h.
7, 28
Find t such that 70*t**5 + 12*t**4 - 86*t**3 - 12*t**2 + 16*t = 0.
-1, -4/7, 0, 2/5, 1
Factor 3*y**5 + 15*y**4 - 18*y**3 - 114*y**2 - 129*y - 45.
3*(y - 3)*(y + 1)**3*(y + 5)
Find q such that -6*q**4 - 14*q**3 - 10*q**2 - 2*q = 0.
-1, -1/3, 0
Factor -2*f**2/17 - 110*f/17 - 312/17.
-2*(f + 3)*(f + 52)/17
Find y, given that y**3/2 + 3*y**2/2 - 8*y + 6 = 0.
-6, 1, 2
Determine z so that -15*z**4 - 264*z**3 - 147*z**2 + 102*z = 0.
-17, -1, 0, 2/5
What is z in -z**3/4 + 8*z**2 - 135*z/4 = 0?
0, 5, 27
Factor o**5/3 - 3*o**4 + 26*o**3/3 - 6*o**2 - 9*o + 9.
(o - 3)**3*(o - 1)*(o + 1)/3
Factor 8*o**5 + 12*o**4 - 20*o**3.
4*o**3*(o - 1)*(2*o + 5)
Determine r, given that 3*r**2 - 29*r/2 + 10 = 0.
5/6, 4
Factor -4*u**2/11 - 1498*u/11 - 68.
-2*(u + 374)*(2*u + 1)/11
Factor 3*w**5 + 3*w**4 - 72*w**3 + 120*w**2 + 48*w - 144.
3*(w - 2)**3*(w + 1)*(w + 6)
Factor -25*u**3 + 885*u**2 - 1200*u + 340.
-5*(u - 34)*(u - 1)*(5*u - 2)
Factor -m**5/4 + 7*m**4/4 + 5*m**3/4 - 75*m**2/4.
-m**2*(m - 5)**2*(m + 3)/4
Find h such that 4*h**3 - 1712*h**2 + 189840*h - 1411200 = 0.
8, 210
Factor -a**3/5 - a**2 - 2*a/5 + 8/5.
-(a - 1)*(a + 2)*(a + 4)/5
Factor 2*s**2/15 + 52*s/15 + 46/5.
2*(s + 3)*(s + 23)/15
Factor -2*u**3 + 64*u**2 + 440*u + 608.
-2*(u - 38)*(u + 2)*(u + 4)
Determine y so that y**2/6 - 12*y - 73/6 = 0.
-1, 73
Factor -2*k**5 - 26*k**4 - 18*k**3 + 82*k**2 + 124*k + 48.
-2*(k - 2)*(k + 1)**3*(k + 12)
Solve -4*m**5 + 404*m**4 - 780*m**3 - 1188*m**2 = 0 for m.
-1, 0, 3, 99
Suppose 2*w**2/3 + 272*w + 1608 = 0. What is w?
-402, -6
Let 4*u**4 - 66*u**3 + 22*u**2 + 156*u + 64 = 0. Calculate u.
-1, -1/2, 2, 16
Solve -2*k**2/5 - 532*k/5 - 1056/5 = 0.
-264, -2
Factor 5*h**3 + 85*h**2 + 190*h - 280.
5*(h - 1)*(h + 4)*(h + 14)
Find y such that 12*y**4 + 225*y**3 + 363*y**2 + 99*y - 51 = 0.
-17, -1, 1/4
Suppose f**3 + 15*f**2 - 52*f + 36 = 0. Calculate f.
-18, 1, 2
Solve -k**3/3 - 16*k**2/3 - 15*k + 54 = 0.
-9, 2
Suppose -w**5/3 + 34*w**3/3 - 32*w**2 + 21*w = 0. What is w?
-7, 0, 1, 3
Determine p so that -2*p**3/3 - 4*p**2/3 + 10*p/3 + 4 = 0.
-3, -1, 2
Factor -o**3 + 928*o**2 + 2797*o - 3724.
-(o - 931)*(o - 1)*(o + 4)
Suppose 27*a**5/4 - 129*a**4/4 - 57*a**3/4 + 129*a**2/4 + 15*a/2 = 0. Calculate a.
-1, -2/9, 0, 1, 5
Factor z**4 + 11*z**3 - 39*z**2 + 41*z - 14.
(z - 1)**3*(z + 14)
Factor 2*w**3 + 158*w**2 + 1358*w - 1518.
2*(w - 1)*(w + 11)*(w + 69)
Suppose 51483*w**2/7 - 786*w/7 + 3/7 = 0. Calculate w.
1/131
Factor -k**2 - 92*k - 2116.
-(k + 46)**2
What is a in 6*a**3 + 281*a**2 - 334*a + 96 = 0?
-48, 1/2, 2/3
Factor -5*u**3 - 3145*u**2 - 6275*u - 3135.
-5*(u + 1)**2*(u + 627)
Solve 18*i**4/13 + 38*i**3 + 3240*i**2/13 - 168*i - 1568/13 = 0 for i.
-14, -4/9, 1
Factor -r**2/7 - 187*r/7 - 186/7.
-(r + 1)*(r + 186)/7
Let -2*d**5/13 - 42*d**4/13 - 102*d**3/13 + 10*d**2 + 408*d/13 + 216/13 = 0. Calculate d.
-18, -3, -1, 2
What is d in -58*d**5 + 1027*d**4/3 - 737*d**3/3 - 91*d**2 + 167*d/3 - 10/3 = 0?
-1/2, 2/29, 1/3, 1, 5
Let -3*h**3 + 6*h**2 = 0. Calculate h.
0, 2
Factor -3*d**4 + 219*d**3 - 201*d**2 - 1071*d - 648.
-3*(d - 72)*(d - 3)*(d + 1)**2
Solve 5*m**3 + 190*m**2 - 4180*m + 7560 = 0.
-54, 2, 14
Find a such that 2*a**5/3 + 26*a**4/3 + 38*a**3 + 66*a**2 + 36*a = 0.
-6, -3, -1, 0
Factor -4*j**2 + 60*j.
-4*j*(j - 15)
Factor -3*l**4/7 + 6*l**2/7 - 3/7.
-3*(l - 1)**2*(l + 1)**2/7
Factor -2*q**4 - 46*q**3 - 268*q**2 - 224*q.
-2*q*(q + 1)*(q + 8)*(q + 14)
Factor -2*v**3/15 - 682*v**2/5 - 232562*v/5 - 79303642/15.
-2*(v + 341)**3/15
Factor -3*v**3/5 - 84*v**2/5 - 81*v/5.
-3*v*(v + 1)*(v + 27)/5
Find z such that -z**3 - 7*z**2 + 17*z - 9 = 0.
-9, 1
Solve 2*f**2/3 + 4*f/3 - 16/3 = 0 for f.
-4, 2
Factor 2*s**5/5 - 2*s**4/5 - 2*s**3/5 + 2*s**2/5.
2*s**2*(s - 1)**2*(s + 1)/5
Determine n so that -n**2 + 16*n - 63 = 0.
7, 9
Let 2*j**2 - 392*j + 19208 = 0. Calculate j.
98
Find g, given that 2*g**2/7 - 2420*g/7 + 732050/7 = 0.
605
Suppose -3*a**5 - 18*a**4 - 30*a**3 + 33*a + 18 = 0. What is a?
-3, -2, -1, 1
Factor 4*j**2 + 40*j + 100.
4*(j + 5)**2
Factor -4*a**4 - 16*a**3 + 48*a**2 + 128*a - 256.
-4*(a - 2)**2*(a + 4)**2
Factor -3*y**3/4 + 3*y**2/4 + 3*y - 3.
-3*(y - 2)*(y - 1)*(y + 2)/4
Solve -2*b**5/11 + 4*b**4/11 + 2*b**3/11 - 4*b**2/11 = 0 for b.
-1, 0, 1, 2
Solve -y**5 + 547*y**4 - 101493*y**3 + 6696569*y**2 - 57353390*y = 0 for y.
0, 10, 179
What is n in 2*n**4 + 4*n**3 - 14*n**2 + 8*n = 0?
-4, 0, 1
Factor 55*x**3 - 565*