, 0, 1, 2
Find r such that 9*r**5/7 + 6780*r**4/7 - 11318*r**3/7 + 5284*r**2/7 - 755*r/7 = 0.
-755, 0, 1/3, 1
Solve 4*z**5 + 28*z**4 + 72*z**3 + 80*z**2 + 32*z = 0 for z.
-2, -1, 0
Find j such that -j**5/2 - 7*j**4 + 157*j**3 + 1460*j**2 - 30481*j/2 - 34969 = 0.
-17, -2, 11
Determine c so that -c**4 + 3*c**3/7 + 3*c**2 - 23*c/7 + 6/7 = 0.
-2, 3/7, 1
Factor -5*x**3/2 + 50*x**2 + 230*x + 240.
-5*(x - 24)*(x + 2)**2/2
Let 3*v**2/7 + 5058*v/7 + 2131947/7 = 0. What is v?
-843
Determine m so that -3*m**5 - 21*m**4 - 54*m**3 - 60*m**2 - 24*m = 0.
-2, -1, 0
Solve -15*m**4/7 + 27*m**3 - 102*m**2/7 - 72*m/7 = 0.
-2/5, 0, 1, 12
Factor 3*q**3/2 + 87*q**2/2 + 537*q/2 - 627/2.
3*(q - 1)*(q + 11)*(q + 19)/2
Find f such that -2*f**5/9 - 2*f**4/3 + 22*f**3/9 + 34*f**2/3 + 124*f/9 + 16/3 = 0.
-3, -2, -1, 4
Factor 2*d**4/3 - 35*d**3 - 161*d**2/3 - 18*d.
d*(d - 54)*(d + 1)*(2*d + 1)/3
Factor b**2 + 8*b + 15.
(b + 3)*(b + 5)
Factor 5*c**4 + 70*c**3 - 85*c**2 - 150*c.
5*c*(c - 2)*(c + 1)*(c + 15)
Solve 5*g**5 + 88*g**4/3 + 51*g**3 + 68*g**2/3 - 4*g = 0.
-3, -2, -1, 0, 2/15
Factor 3*o**2 + 915*o - 4650.
3*(o - 5)*(o + 310)
Determine c so that -2*c**5/13 + 1100*c**4/13 + 1106*c**3/13 - 2204*c**2/13 = 0.
-2, 0, 1, 551
Solve 75*v**3 + 20155*v**2 + 8050*v = 0 for v.
-805/3, -2/5, 0
Factor -5*y**5 + 110*y**4 + 240*y**3.
-5*y**3*(y - 24)*(y + 2)
Find r, given that 2*r**5 + 19*r**4/5 - 42*r**3/5 - 76*r**2/5 + 8*r/5 = 0.
-2, 0, 1/10, 2
Factor -3*i**2 + 21*i - 18.
-3*(i - 6)*(i - 1)
Factor 27*a**4 + 99*a**3 - 168*a**2 + 60*a.
3*a*(a + 5)*(3*a - 2)**2
Find m such that -4*m**5 - 20*m**4 + 8*m**3 + 40*m**2 - 4*m - 20 = 0.
-5, -1, 1
Factor 49*w**3/2 - 30989*w**2/2 - 8860*w - 1266.
(w - 633)*(7*w + 2)**2/2
Factor -2*t**2/19 + 398*t/19 - 788/19.
-2*(t - 197)*(t - 2)/19
Factor 2*s**3 + 54*s**2.
2*s**2*(s + 27)
Find r such that 2*r**3/5 + 24*r**2 - 2*r/5 - 24 = 0.
-60, -1, 1
Factor 16*x**4 + 44*x**3 - 12*x**2 - 64*x + 16.
4*(x - 1)*(x + 2)**2*(4*x - 1)
Factor 2*m**2/7 + 36*m/7 - 38/7.
2*(m - 1)*(m + 19)/7
Solve 2*p**4/13 - 6*p**3/13 - 4*p**2/13 + 24*p/13 - 16/13 = 0 for p.
-2, 1, 2
Factor -3*k**3 + 120*k**2 - 444*k + 432.
-3*(k - 36)*(k - 2)**2
Solve 4*w**5/5 - 4*w**4 - 104*w**3/5 + 104*w**2 + 20*w - 100 = 0 for w.
-5, -1, 1, 5
Solve -2*d**4 - 166*d**3 - 3684*d**2 - 9920*d - 6400 = 0 for d.
-40, -2, -1
Solve 4*m**4/7 - 4*m**3/7 - 24*m**2/7 + 16*m/7 + 32/7 = 0 for m.
-2, -1, 2
Let 16*f**5/7 - 4*f**4/7 - 4*f**3 + 4*f**2/7 + 12*f/7 = 0. Calculate f.
-1, -3/4, 0, 1
Determine g, given that 2*g**2/13 + 18*g/13 + 16/13 = 0.
-8, -1
Find w such that -w**2/2 + 55*w/2 + 217 = 0.
-7, 62
Solve 4*x**4 - 200*x**3 + 2852*x**2 - 8464*x = 0 for x.
0, 4, 23
Find g, given that -2*g**3/13 + 10*g**2/13 + 12*g/13 = 0.
-1, 0, 6
Factor 6*z**5/7 - 26*z**4/7 + 32*z**3/7 - 8*z**2/7.
2*z**2*(z - 2)**2*(3*z - 1)/7
Solve 3*j**4 - 108*j**3 + 375*j**2 + 342*j - 1728 = 0 for j.
-2, 3, 32
Factor -2*s**4/11 - 18*s**3/11 - 60*s**2/11 - 8*s - 48/11.
-2*(s + 2)**3*(s + 3)/11
Determine d so that -8*d**4 - 300*d**3 - 2736*d**2 + 1444*d = 0.
-19, 0, 1/2
Factor 2*x**4 + 28*x**3 - 366*x**2 - 4760*x + 5096.
2*(x - 13)*(x - 1)*(x + 14)**2
Factor 4*m**2 + 28*m + 40.
4*(m + 2)*(m + 5)
Factor 4*s**3 - 3192*s**2 + 849072*s - 75284384.
4*(s - 266)**3
Solve -2*d**5 + 138*d**4 - 1526*d**3 + 3822*d**2 + 5488*d = 0 for d.
-1, 0, 7, 56
Find s, given that -2*s**5/11 + 8*s**4/11 + 6*s**3/11 - 36*s**2/11 = 0.
-2, 0, 3
Factor -18*d**3 + 4082*d**2 + 5012*d + 912.
-2*(d - 228)*(d + 1)*(9*d + 2)
Factor -f**3/3 + 207*f**2 + 624*f.
-f*(f - 624)*(f + 3)/3
Determine w, given that -125*w**5/2 - 1475*w**4/2 - 3395*w**3/2 - 2205*w**2/2 = 0.
-9, -7/5, 0
What is f in -9*f**4 - 5*f**3 = 0?
-5/9, 0
Determine y, given that -y**3 - 16*y**2 + y + 16 = 0.
-16, -1, 1
Let 3*t**3/5 + 4989*t**2/5 - 4992*t/5 = 0. Calculate t.
-1664, 0, 1
Find y such that -y**5/5 + 4*y**4 - 112*y**3/5 + 98*y**2/5 + 109*y - 110 = 0.
-2, 1, 5, 11
Factor -2*d**3.
-2*d**3
Solve -5*t**3 - 120*t**2 - 325*t - 210 = 0.
-21, -2, -1
Factor 2*i**3 + 18*i**2 - 162*i + 270.
2*(i - 3)**2*(i + 15)
Factor -2*j**3 - 6*j**2 + 2*j + 6.
-2*(j - 1)*(j + 1)*(j + 3)
Factor 2*o**4/7 - 96*o**3/7 + 150*o**2 + 2500*o/7.
2*o*(o - 25)**2*(o + 2)/7
Factor -5*s**5/6 + 35*s**4/6 - 95*s**3/6 + 125*s**2/6 - 40*s/3 + 10/3.
-5*(s - 2)**2*(s - 1)**3/6
Factor -u**2 - u + 12.
-(u - 3)*(u + 4)
Factor -2*w**2/11 + 114*w/11 - 520/11.
-2*(w - 52)*(w - 5)/11
What is q in -q**5 - 60*q**4 - 1013*q**3 - 3418*q**2 - 4032*q - 1568 = 0?
-28, -2, -1
Factor u**2/2 + 37*u/2 - 105.
(u - 5)*(u + 42)/2
Factor -i**4/5 + 19*i**3/5 + 203*i**2/5 + 69*i + 162/5.
-(i - 27)*(i + 1)**2*(i + 6)/5
Factor 2*s**2/11 + 56*s/11 + 54/11.
2*(s + 1)*(s + 27)/11
Factor k**3 - 223*k**2 + 662*k - 440.
(k - 220)*(k - 2)*(k - 1)
Determine s so that 64*s**5 - 736*s**4 + 2788*s**3 - 3320*s**2 - 2068*s + 4840 = 0.
-1, 2, 11/4, 5
Factor 10*a**3 - 95*a**2 - 290*a - 120.
5*(a - 12)*(a + 2)*(2*a + 1)
Determine u so that 9*u**5 - 12*u**4 - 21*u**3 + 12*u**2 + 12*u = 0.
-1, -2/3, 0, 1, 2
Factor m**2/2 + 5*m/4 - 3/4.
(m + 3)*(2*m - 1)/4
Let 3*m**3/4 + 27*m**2/4 - 3*m - 27 = 0. What is m?
-9, -2, 2
Let -3*r**5/4 - 45*r**4/4 - 129*r**3/4 + 477*r**2/4 + 330*r - 675 = 0. What is r?
-9, -5, 2
Let y**5 - 7*y**4 - 27*y**3 + 79*y**2 + 26*y - 72 = 0. Calculate y.
-4, -1, 1, 2, 9
Factor 2*n**4/5 + 58*n**3/5 - 328*n**2/5 + 408*n/5.
2*n*(n - 3)*(n - 2)*(n + 34)/5
Determine n, given that -n**3/3 + 13*n**2/3 - 56*n/3 + 80/3 = 0.
4, 5
Factor 52*q**3 + 1048*q**2 + 1148*q + 152.
4*(q + 1)*(q + 19)*(13*q + 2)
Factor -4*h**2 + 160*h + 164.
-4*(h - 41)*(h + 1)
Find y, given that -y**4/5 + 8*y**3/5 - 7*y**2/5 - 72*y/5 + 144/5 = 0.
-3, 3, 4
Factor h**4/3 - 80*h**3 + 4800*h**2.
h**2*(h - 120)**2/3
Find t, given that -6*t**4/19 - 34*t**3/19 - 36*t**2/19 + 16*t/19 = 0.
-4, -2, 0, 1/3
Factor -j**3 + 7*j + 6.
-(j - 3)*(j + 1)*(j + 2)
Suppose -5*d**3/2 - 65*d**2/2 + 100*d + 1750 = 0. What is d?
-10, 7
Factor 2*p**3/9 - 1504*p**2/9.
2*p**2*(p - 752)/9
Factor -3*n**4 - 12*n**3 + 321*n**2 - 1278*n + 1512.
-3*(n - 4)*(n - 3)**2*(n + 14)
Suppose -5*i**2 + 125*i = 0. Calculate i.
0, 25
Suppose -2*m**3 + 2*m**2 + 4*m = 0. Calculate m.
-1, 0, 2
Suppose -2*l**3/17 - 140*l**2/17 - 736*l/17 + 2048/17 = 0. What is l?
-64, -8, 2
Solve 2*v**2/5 - 104*v + 6760 = 0 for v.
130
Factor 5*v**4/3 + 400*v**3/3 - 840*v**2 + 5120*v/3 - 3440/3.
5*(v - 2)**3*(v + 86)/3
Solve -4*a**2/9 + 316*a/9 - 224 = 0 for a.
7, 72
Factor -3*k**4 + 66*k**3 - 255*k**2.
-3*k**2*(k - 17)*(k - 5)
Solve 3*g**5/2 - 9*g**4 - 75*g**3/2 - 27*g**2 = 0.
-2, -1, 0, 9
Solve 2*x**2/3 + 184*x/3 + 4232/3 = 0 for x.
-46
Determine h so that -5*h**2 + 185*h + 2350 = 0.
-10, 47
Factor -w**4/2 - 5*w**3/2 - 9*w**2/2 - 7*w/2 - 1.
-(w + 1)**3*(w + 2)/2
Find u, given that 3375*u**4 + 49275*u**3 - 20070*u**2 + 2692*u - 120 = 0.
-15, 2/15
Factor 2*s**2/3 - 6*s + 28/3.
2*(s - 7)*(s - 2)/3
Find u, given that 612*u**4 + 2172*u**3 + 1028*u**2 + 52*u - 24 = 0.
-3, -1/3, 2/17
Factor 3*k**2 - 105*k + 102.
3*(k - 34)*(k - 1)
Factor -3*d**3/4 + 267*d**2/4 - 5421*d/4 + 31941/4.
-3*(d - 63)*(d - 13)**2/4
Find b, given that 20*b**4 + 188*b**3 + 192*b**2 - 1072*b - 448 = 0.
-7, -4, -2/5, 2
Suppose -3028*h**2 + 3004*h + 24 = 0. What is h?
-6/757, 1
Find j, given that 5*j**3/6 + 175*j**2/6 - 1045*j/3 - 2420/3 = 0.
-44, -2, 11
Solve 3*r**4 - 96*r**3 + 1080*r**2 - 4800*r + 6000 = 0.
2, 10
Factor -3*y**2 + 18300*y - 27907500.
-3*(y - 3050)**2
Factor 4*j**3 - 168*j**2.
4*j**2*(j - 42)
Factor 2*s**4/7 - 6*s**3/7 - 4*s**2/7 + 24*s/7 - 16/7.
2*(s - 2)**2*(s - 1)*(s + 2)/7
Find z, given that 2*z**5 - 76*z**4 - 324*z**3 - 496*z**2 - 334*z - 84 = 0.
-1, 42
What is r in -r**3/7 + 137*r**2/7 = 0?
0, 137
Suppose -10*m**5/9 - 766*m**4/9 - 746*m**3/9 + 766*m**2/9 + 84*m = 0. Calculate m.
-378/5, -1, 0, 1
Let 4*k**4 + 23140*k**3 + 44606196*k**2 + 28622247372*k - 57423104712 = 0. Calculate k.
-1929, 2
Factor -c**4/7 - 4*c**3/7 + 27*c**2/7 - 38*c/7 + 16/7.
-(c - 2)*(c - 1)**2*(c + 8)/7
Suppose -v**2/5 - 4*v + 21/5 = 0. What is v?
-21, 1
Suppose 35*w**4 + 255*w**3 - 105*w**2 - 2675*w - 750 = 0. What is w?
-5, -2/7, 3
Find z, given that 12*z**4 - 183*z**3 + 204*z**2 + 93*z - 126 = 0.
-3/4, 1, 14
Factor 3*z**2/5 - 108*z/5 + 729/5.
3*(z - 27)*(z - 9)/5
Suppose -2*b**4 + 8*b**3/3 + 10*b**2/9 - 