7, 2, 22
Find q such that 2*q**4/5 - 396*q**3/5 + 19602*q**2/5 = 0.
0, 99
Find m, given that 5*m**5 + 45*m**4 - 210*m**3 - 1220*m**2 - 1320*m = 0.
-11, -2, 0, 6
Factor -3267*s**3 + 6138*s**2 + 780*s + 24.
-3*(s - 2)*(33*s + 2)**2
Suppose 350*h**5 + 855*h**4 + 666*h**3 + 167*h**2 + 6*h = 0. Calculate h.
-1, -2/5, -3/70, 0
Factor 16*d**2/5 - 8828*d/5 - 2208/5.
4*(d - 552)*(4*d + 1)/5
Solve -2*p**2/3 - 14*p/3 + 12 = 0 for p.
-9, 2
Suppose -2*w**2/7 + 6128*w/7 - 4694048/7 = 0. What is w?
1532
Determine m so that -2*m**5 + 4*m**4 - 4*m**2 + 2*m = 0.
-1, 0, 1
Factor -2*c**3/9 + 16*c**2/9.
-2*c**2*(c - 8)/9
Find x such that -2*x**2/19 + 70*x/19 + 72/19 = 0.
-1, 36
Find u such that 25*u**3 + 60*u**2 - 55*u - 30 = 0.
-3, -2/5, 1
Suppose 4*c**3 - 236*c**2 - 1280*c = 0. Calculate c.
-5, 0, 64
Factor -5*v**3/4 - 15*v**2/2 + 45*v/4 + 35/2.
-5*(v - 2)*(v + 1)*(v + 7)/4
Factor -2*u**3/5 - 53*u**2/5 + 143*u/5 - 58/5.
-(u - 2)*(u + 29)*(2*u - 1)/5
Let -f**2 - 3*f/4 + 1/4 = 0. Calculate f.
-1, 1/4
Suppose -z**2/5 + 29*z/5 - 20 = 0. Calculate z.
4, 25
Factor 2*j**5 + 8*j**4 - 22*j**3 + 12*j**2.
2*j**2*(j - 1)**2*(j + 6)
Factor -3*k**3 - 99*k**2 - 900*k - 1428.
-3*(k + 2)*(k + 14)*(k + 17)
Suppose 2*m**5 + 136*m**4 + 242*m**3 - 1476*m**2 - 1584*m = 0. What is m?
-66, -4, -1, 0, 3
Let -18*a**5/11 - 76*a**4/11 + 2*a**3/11 + 76*a**2/11 + 16*a/11 = 0. What is a?
-4, -1, -2/9, 0, 1
What is s in -s**5/4 + 99*s**4/2 + 401*s**3/4 - 99*s**2/2 - 100*s = 0?
-2, -1, 0, 1, 200
Determine i so that 2*i**3/5 - 6*i**2 - 68*i/5 = 0.
-2, 0, 17
Factor 2*g**5/7 - 6*g**4/7 - 12*g**3/7 + 20*g**2/7 + 6*g + 18/7.
2*(g - 3)**2*(g + 1)**3/7
Let 3*c**4/4 - 12*c**3 - 153*c**2/2 - 54*c + 567/4 = 0. Calculate c.
-3, 1, 21
Determine w, given that -3*w**4/7 - 2*w**3 - 16*w**2/7 - 2*w/7 + 3/7 = 0.
-3, -1, 1/3
Factor -2*o**3/5 - 14*o**2/5 + 2*o + 30.
-2*(o - 3)*(o + 5)**2/5
Determine n, given that -3*n**2 - 1494*n - 186003 = 0.
-249
Solve 3*y**2 + 198*y + 3267 = 0 for y.
-33
Factor z**2 + 193*z + 192.
(z + 1)*(z + 192)
Determine a, given that -3*a**4 + 69*a**3 - 399*a**2 + 603*a - 270 = 0.
1, 6, 15
Factor -4*f**5 - 808*f**4 - 39984*f**3 + 83232*f**2.
-4*f**2*(f - 2)*(f + 102)**2
Factor u**4 - 4*u**3 - 37*u**2 - 68*u - 36.
(u - 9)*(u + 1)*(u + 2)**2
Solve -3*n**4 - 6*n**3 - 3*n**2 = 0 for n.
-1, 0
Factor 5*b**2 - 85*b + 210.
5*(b - 14)*(b - 3)
Find j, given that -2*j**3/3 + 65*j**2/3 - 91*j/3 - 62/3 = 0.
-1/2, 2, 31
Factor 2*v**2 - 166*v + 632.
2*(v - 79)*(v - 4)
Factor u**3 - 15*u**2 - 2112*u - 28556.
(u - 59)*(u + 22)**2
Factor -2*q**5 + 20*q**4 - 68*q**3 + 104*q**2 - 74*q + 20.
-2*(q - 5)*(q - 2)*(q - 1)**3
Factor i**3 - 30*i**2 + 153*i + 1156.
(i - 17)**2*(i + 4)
Suppose 2*d**5 - 18*d**4 + 52*d**3 - 48*d**2 = 0. What is d?
0, 2, 3, 4
Factor 2*o**3/13 - 4*o**2/13 - 96*o/13.
2*o*(o - 8)*(o + 6)/13
Determine q, given that 2*q**2/15 + 34*q/5 - 88/3 = 0.
-55, 4
Find f, given that f**2/2 + 3*f/2 + 1 = 0.
-2, -1
Determine p, given that -20*p**2 - 1588*p - 632 = 0.
-79, -2/5
Let 3*r**5 + 12*r**4 + 3*r**3 - 42*r**2 - 60*r - 24 = 0. Calculate r.
-2, -1, 2
Factor -2*r**5 + 16*r**4 + 38*r**3 + 20*r**2.
-2*r**2*(r - 10)*(r + 1)**2
Let 13*q**4/2 - 83*q**3/2 + 127*q**2/2 - 57*q/2 = 0. Calculate q.
0, 1, 57/13
Determine c so that -130*c**3 - 184*c**2 + 142*c - 20 = 0.
-2, 1/5, 5/13
Determine n, given that n**5/4 + 29*n**4/4 - 3*n**3/2 - 83*n**2/2 + 229*n/4 - 87/4 = 0.
-29, -3, 1
Factor 5*l**3 + 40*l**2.
5*l**2*(l + 8)
Suppose -3*p**5 - 24*p**4 + 6*p**3 + 48*p**2 - 3*p - 24 = 0. What is p?
-8, -1, 1
Solve 2*p**4 + 32*p**3 - 6*p**2 - 100*p - 64 = 0.
-16, -1, 2
Suppose -2*y**2/13 - 36*y/13 + 176 = 0. What is y?
-44, 26
Determine i, given that 2*i**3 - 24*i**2 + 70*i = 0.
0, 5, 7
Suppose -242*y**2/3 + 71720*y/3 - 5313800/3 = 0. Calculate y.
1630/11
Factor 15*j**5/2 - 57*j**4/4 - 3*j**3/2.
3*j**3*(j - 2)*(10*j + 1)/4
Let 2*k**5 - 22*k**4 - 30*k**3 + 70*k**2 + 28*k - 48 = 0. Calculate k.
-2, -1, 1, 12
Solve 4*i**4 + 124*i**3 + 1020*i**2 + 900*i = 0.
-15, -1, 0
Factor 486*b**4 + 6876*b**3 + 74474*b**2/3 + 10696*b/3 + 392/3.
2*(b + 7)**2*(27*b + 2)**2/3
Factor 4*i**2/5 - 1872*i + 1095120.
4*(i - 1170)**2/5
Factor 4*r**2 + 84*r - 88.
4*(r - 1)*(r + 22)
Suppose r**3 + 8*r**2 + 20*r + 16 = 0. Calculate r.
-4, -2
What is k in -k**5/6 + 5*k**4/6 + k**3/3 - 5*k**2/3 - k/6 + 5/6 = 0?
-1, 1, 5
Suppose -16*s**3/5 - 1924*s**2/5 + 1456*s/5 + 484/5 = 0. Calculate s.
-121, -1/4, 1
Find n such that -74*n**4/7 + 212*n**3/7 - 192*n**2/7 + 44*n/7 + 10/7 = 0.
-5/37, 1
Factor -3*p**4/4 + 21*p**3/2 - 39*p**2/4.
-3*p**2*(p - 13)*(p - 1)/4
Let h**4 + 5*h**3 - 31*h**2 - 185*h - 150 = 0. What is h?
-5, -1, 6
Find h such that 6*h**2 - 159*h/2 + 39/2 = 0.
1/4, 13
Factor w**3 - 6*w**2 + 11*w - 6.
(w - 3)*(w - 2)*(w - 1)
Factor -3*i**2 - 474*i - 18723.
-3*(i + 79)**2
Factor b**3/2 + 1943*b**2/2 - 973*b - 1944.
(b - 2)*(b + 1)*(b + 1944)/2
Determine c so that c**3/5 - 6*c**2 + 45*c = 0.
0, 15
Suppose 2*m**4/21 - 34*m**2/21 - 24*m/7 - 40/21 = 0. Calculate m.
-2, -1, 5
What is g in -g**4/3 - 8*g**3 - 64*g**2 - 640*g/3 - 256 = 0?
-12, -4
Factor 5*q**3 + 4355*q**2 - 8725*q + 4365.
5*(q - 1)**2*(q + 873)
Suppose 5*g**2/6 - 100*g/3 + 65/2 = 0. Calculate g.
1, 39
Solve d**5/2 + 5*d**4/2 + d**3 - 4*d**2 = 0 for d.
-4, -2, 0, 1
Solve 2*x**3/21 - 16*x**2/7 + 72*x/7 + 640/21 = 0.
-2, 10, 16
Factor -15*r**3/7 + 2364*r**2/7 - 92667*r/7 - 37446/7.
-3*(r - 79)**2*(5*r + 2)/7
Factor 2*m**4/7 + 82*m**3/7 - 2*m**2/7 - 82*m/7.
2*m*(m - 1)*(m + 1)*(m + 41)/7
Determine o so that o**3/4 + o**2 - o/4 - 1 = 0.
-4, -1, 1
Factor 2*y**4 - 20*y**3.
2*y**3*(y - 10)
Determine o, given that 3*o**4 - 18*o**3 + 39*o**2 - 36*o + 12 = 0.
1, 2
Find c such that 2*c**2/9 - 3212*c/9 + 1289618/9 = 0.
803
Determine g so that -2*g**5/3 - 44*g**4/3 - 40*g**3 - 116*g**2/3 - 38*g/3 = 0.
-19, -1, 0
Solve -3*f**4/2 - 21*f**3/4 + 9*f**2 + 21*f - 12 = 0 for f.
-4, -2, 1/2, 2
Factor 4*z**4 - 32*z**3 + 69*z**2 - 45*z.
z*(z - 5)*(2*z - 3)**2
Factor 18*k**3 - 76*k**2 + 16*k.
2*k*(k - 4)*(9*k - 2)
Find g such that -2*g**5 + 18*g**4 - 48*g**3 + 32*g**2 = 0.
0, 1, 4
Factor 4*q**3 + 76*q**2 + 396*q + 324.
4*(q + 1)*(q + 9)**2
Factor -g**4 - g**3 + 2*g**2.
-g**2*(g - 1)*(g + 2)
Factor 3*l**3 + 15*l**2.
3*l**2*(l + 5)
Solve -7*n**5/6 - 5*n**4/6 + 107*n**3/6 - 191*n**2/6 + 58*n/3 - 10/3 = 0 for n.
-5, 2/7, 1, 2
Suppose k**3 - 3*k**2 = 0. Calculate k.
0, 3
Determine y, given that -5*y**3 - 3285*y**2 - 719415*y - 52517295 = 0.
-219
What is n in 2*n**3/13 + 244*n**2/13 + 490*n - 5200 = 0?
-65, 8
Suppose -r**5/2 + 37*r**4 - 899*r**3 + 6800*r**2 + 19375*r/2 - 15625 = 0. Calculate r.
-2, 1, 25
Factor 17*t**2/5 - 99*t + 58/5.
(t - 29)*(17*t - 2)/5
Factor -3*u**5 + 12*u**4 - 12*u**3.
-3*u**3*(u - 2)**2
Solve u**3/2 + 230*u**2 - 462*u = 0 for u.
-462, 0, 2
Solve -4*w**4 - 76*w**3 - 456*w**2 - 896*w - 512 = 0 for w.
-8, -2, -1
Factor 5*y**5 - 60*y**4 - 590*y**3 - 1360*y**2 - 1215*y - 380.
5*(y - 19)*(y + 1)**3*(y + 4)
Find g, given that -7*g**3/2 + 10*g**2 + 73*g/2 + 5 = 0.
-2, -1/7, 5
Find r such that 2*r**3 - 60*r**2 + 126*r + 972 = 0.
-3, 6, 27
Find y, given that -5*y**3 - 160*y**2 - 145*y + 310 = 0.
-31, -2, 1
Factor -5*l**3/2 + 12*l**2 - 2*l - 24.
-(l - 4)*(l - 2)*(5*l + 6)/2
Factor 2*o**4/3 - 56*o**3/3 - 2*o**2/3 + 56*o/3.
2*o*(o - 28)*(o - 1)*(o + 1)/3
Determine o, given that -2*o**4/5 + 14*o**3/5 - 22*o**2/5 - 14*o/5 + 24/5 = 0.
-1, 1, 3, 4
Suppose 25*m**5/4 + 130*m**4 + 2329*m**3/4 - 415*m**2/2 - 413*m - 98 = 0. Calculate m.
-14, -7, -2/5, 1
Factor f**5/2 + 11*f**4/2 + 19*f**3/2 + 9*f**2/2.
f**2*(f + 1)**2*(f + 9)/2
Factor -2*n**4 - 4*n**3 + 30*n**2.
-2*n**2*(n - 3)*(n + 5)
Determine l so that -l**3 + 117*l**2/2 - 870*l + 841/2 = 0.
1/2, 29
Suppose -25*v**4 - 115*v**3 - 35*v**2 + 115*v + 60 = 0. Calculate v.
-4, -1, -3/5, 1
Factor 4*q**4 + 224*q**3 + 1048*q**2 + 1440*q + 612.
4*(q + 1)**2*(q + 3)*(q + 51)
Factor -f**2/6 - 19*f/3 - 140/3.
-(f + 10)*(f + 28)/6
Factor 4*v**2/3 - 168*v + 500/3.
4*(v - 125)*(v - 1)/3
What is q in -4*q**3 - 28*q**2 = 0?
-7, 0
Solve 2*a**2 - 1264*a + 199712 = 0.
316
Find b, given that -2*b**3 - 20*b**2 + 54*b + 72 = 0.
-12, -1, 3
Factor -4*c**4/5 + 508*c**3/5 + 1032*c**2/5.
-4*c**2*(c - 129)*(c + 2)/5
Solve 2*s**3/11 - 6*s**2/11 - 6*s + 70/11 = 0 for s.
-5, 1, 7
Let -d**5/4 