, 1, 31
Factor -4*r**4 + 84*r**2 + 80*r.
-4*r*(r - 5)*(r + 1)*(r + 4)
Let 2*k**4/19 - 14*k**3/19 - 86*k**2/19 - 34*k/19 + 132/19 = 0. What is k?
-3, -2, 1, 11
What is c in -8*c**2/9 + 182*c/9 + 46/9 = 0?
-1/4, 23
Find h such that h**2 - 105*h + 104 = 0.
1, 104
Suppose -2*r**3 + 244*r**2 - 1378*r - 1624 = 0. Calculate r.
-1, 7, 116
Solve u**5 + 12*u**4 + 53*u**3 + 102*u**2 + 72*u = 0 for u.
-4, -3, -2, 0
Determine v, given that -v**5 - 133*v**4/3 - 1622*v**3/3 - 3298*v**2/3 - 749*v - 147 = 0.
-21, -1, -1/3
Factor -15*s**4 + 99*s**3 - 48*s**2 - 36*s.
-3*s*(s - 6)*(s - 1)*(5*s + 2)
Suppose -3*o**3/4 - 5319*o**2/4 - 2354985*o/4 + 2360307/4 = 0. What is o?
-887, 1
Factor 3*v**3 - 1194*v**2.
3*v**2*(v - 398)
Solve -2*f**5 - 14*f**4 - 26*f**3 - 2*f**2 + 28*f + 16 = 0 for f.
-4, -2, -1, 1
Suppose -3*i**4/5 - 279*i**3/5 - 7383*i**2/5 - 41409*i/5 - 11094 = 0. Calculate i.
-43, -5, -2
Find c such that -5*c**2 + 8355*c = 0.
0, 1671
Factor 2*t**4 - 1792*t**3 + 399612*t**2 + 804608*t + 403202.
2*(t - 449)**2*(t + 1)**2
Determine r so that -2*r**3 = 0.
0
What is o in -2*o**2/5 + 376*o/5 - 17672/5 = 0?
94
Solve -2*b**5/15 + 32*b**4/15 - 16*b**3/5 - 128*b**2/15 + 224*b/15 = 0 for b.
-2, 0, 2, 14
Solve c**2/3 + 41*c/3 + 60 = 0 for c.
-36, -5
Factor -u**3/5 - 29*u**2/5 + 9*u/5 + 261/5.
-(u - 3)*(u + 3)*(u + 29)/5
Determine f so that -2*f**3/5 - 6*f**2/5 - 4*f/5 = 0.
-2, -1, 0
Factor -4*m**2/9 - 484*m/9 - 160/3.
-4*(m + 1)*(m + 120)/9
Factor 46*z**3 - 7548*z**2 + 8154*z - 652.
2*(z - 163)*(z - 1)*(23*z - 2)
Let 10*t**2 + 10114*t + 4044 = 0. What is t?
-1011, -2/5
Find u, given that 141*u**2 + 570*u + 24 = 0.
-4, -2/47
Solve h**5 - 13*h**4 + 63*h**3 - 143*h**2 + 152*h - 60 = 0 for h.
1, 2, 3, 5
Determine a so that 8*a**3/3 - 106*a**2/3 + 26*a/3 = 0.
0, 1/4, 13
Factor -3*h**5 + 144*h**4 - 49152*h**2.
-3*h**2*(h - 32)**2*(h + 16)
Factor -2*t**4 + 14*t**2 - 12*t.
-2*t*(t - 2)*(t - 1)*(t + 3)
Suppose w**2/4 - 1/4 = 0. What is w?
-1, 1
Let 50*h**4/13 + 30*h**3 - 112*h**2/13 - 264*h/13 - 64/13 = 0. Calculate h.
-8, -2/5, 1
Factor x**2/6 + 29*x + 2523/2.
(x + 87)**2/6
Factor 3*i**4/4 - 21*i**3/4 + 21*i**2/2 - 6*i.
3*i*(i - 4)*(i - 2)*(i - 1)/4
Factor 2*l**2 - 68*l + 578.
2*(l - 17)**2
Let 2*m**3/13 + 566*m**2/13 + 3102*m + 39762/13 = 0. What is m?
-141, -1
What is x in -15*x**3 - 51*x**2 - 24*x + 36 = 0?
-2, 3/5
Factor 4*h**3/7 - 40*h**2/7 + 64*h/7.
4*h*(h - 8)*(h - 2)/7
Factor 4*x**3 + 52*x**2 + 144*x.
4*x*(x + 4)*(x + 9)
Suppose 2*o**3 + 6*o**2 - 20*o = 0. Calculate o.
-5, 0, 2
Suppose w**2 - 106*w + 105 = 0. Calculate w.
1, 105
Factor 2*y**3 + 188*y**2 + 4418*y.
2*y*(y + 47)**2
Factor 2*x**3/7 + 8*x**2/7 - 24*x/7.
2*x*(x - 2)*(x + 6)/7
Determine m so that -m**3/4 + 7*m**2/2 - 25*m/4 + 3 = 0.
1, 12
Find n such that 2*n**4/5 + 38*n**3/5 + 14*n**2 + 34*n/5 = 0.
-17, -1, 0
Solve -45499293*n**3/2 - 382347*n**2 - 2142*n - 4 = 0 for n.
-2/357
Solve g**5/4 + 27*g**4/4 + 145*g**3/2 + 775*g**2/2 + 4125*g/4 + 4375/4 = 0.
-7, -5
What is o in 2*o**5/7 + 4*o**4/7 - 4*o**2/7 - 2*o/7 = 0?
-1, 0, 1
Factor 14*l**2/9 + 1118*l/9 + 316/3.
2*(l + 79)*(7*l + 6)/9
Find g such that -g**2/2 + 22*g = 0.
0, 44
Suppose 2*k**2 + 228*k/7 + 64/7 = 0. What is k?
-16, -2/7
Factor -2*d**4/5 + 2*d**3 - 14*d**2/5 + 6*d/5.
-2*d*(d - 3)*(d - 1)**2/5
Factor 3844*p**2/7 - 744*p/7 + 36/7.
4*(31*p - 3)**2/7
Factor -10*i**2 + 52*i - 10.
-2*(i - 5)*(5*i - 1)
Let r**3/4 + 75*r**2/4 - 1233*r/4 + 1157/4 = 0. Calculate r.
-89, 1, 13
Factor -2*s**2/7 - 28*s.
-2*s*(s + 98)/7
Factor -2*t**3/19 - 134*t**2/19.
-2*t**2*(t + 67)/19
Find i such that i**5/2 + 317*i**4/2 + 1257*i**3/2 + 1567*i**2/2 + 313*i = 0.
-313, -2, -1, 0
Factor v**2 - 157*v + 1470.
(v - 147)*(v - 10)
Factor 2*u**3 - 220*u**2 + 5824*u + 12544.
2*(u - 56)**2*(u + 2)
Factor 2*o**2/3 - 1126*o/15 - 452/15.
2*(o - 113)*(5*o + 2)/15
Solve -2*h**4/3 + 14*h**3/3 + 266*h**2/3 - 1598*h/3 - 616 = 0.
-11, -1, 7, 12
Suppose 44*n**3/3 - 16*n**2/3 - 44*n/3 + 16/3 = 0. What is n?
-1, 4/11, 1
Suppose 2*q**5/11 - 8*q**4/11 + 12*q**3/11 - 8*q**2/11 + 2*q/11 = 0. Calculate q.
0, 1
Suppose -2*b**2 - 714*b = 0. What is b?
-357, 0
Factor f**3 + 8*f**2.
f**2*(f + 8)
Factor 4*m**4/5 - 180*m**3 + 69204*m**2/5 - 1939756*m/5 + 9336408/5.
4*(m - 73)**3*(m - 6)/5
Factor 98*d**3/11 + 2786*d**2/11 - 1616*d/11 + 232/11.
2*(d + 29)*(7*d - 2)**2/11
Find x, given that -4*x**3 + 876*x**2 - 4296*x + 3424 = 0.
1, 4, 214
Let 24*v**4 - 4*v**3 - 68*v**2 - 40*v = 0. What is v?
-1, -5/6, 0, 2
Factor -2*l**4/5 + 12*l**3/5.
-2*l**3*(l - 6)/5
Suppose j**2 - 2*j - 3 = 0. Calculate j.
-1, 3
Factor -5*z**5 + 35*z**4 - 30*z**3.
-5*z**3*(z - 6)*(z - 1)
Find d, given that 4*d**5 + 36*d**4 + 48*d**3 - 176*d**2 - 192*d = 0.
-6, -4, -1, 0, 2
Factor -2*i**2 - 680*i.
-2*i*(i + 340)
Factor 5*a**2/4 + 775*a/4.
5*a*(a + 155)/4
Find o, given that -5*o**5/3 + 25*o**4/3 + 365*o**3/3 + 635*o**2/3 + 100*o = 0.
-5, -1, 0, 12
Determine z so that 8*z**5/15 + 346*z**4/15 - 1426*z**3/15 - 722*z**2/15 + 1418*z/15 + 376/15 = 0.
-47, -1, -1/4, 1, 4
Factor -4*j**2/3 + 8*j/3 + 20.
-4*(j - 5)*(j + 3)/3
Factor -g**3 + 9*g.
-g*(g - 3)*(g + 3)
Suppose -u**2/4 + 6717*u/2 - 45118089/4 = 0. Calculate u.
6717
Factor b**2/6 - 371*b/3 + 3685/6.
(b - 737)*(b - 5)/6
Factor 3*q**4 - 15*q**3 - 3*q**2 + 15*q.
3*q*(q - 5)*(q - 1)*(q + 1)
Let 2*t**5 + 18*t**4/7 - 38*t**3/7 - 26*t**2/7 + 24*t/7 + 8/7 = 0. Calculate t.
-2, -1, -2/7, 1
Solve 2*g**5 + 12*g**4 + 18*g**3 - 8*g**2 - 24*g = 0 for g.
-3, -2, 0, 1
Factor -m**5 - 74*m**4 + 307*m**3 - 388*m**2 + 156*m.
-m*(m - 2)*(m - 1)**2*(m + 78)
Solve h**2/4 + 153*h - 613/4 = 0.
-613, 1
Determine u, given that 50*u**5 + 550*u**4 + 1762*u**3 + 1370*u**2 + 300*u = 0.
-5, -3/5, -2/5, 0
Let -2*w**4/7 - 20*w**3/7 + 312*w**2/7 - 620*w/7 - 950/7 = 0. Calculate w.
-19, -1, 5
Find m such that 2*m**4/15 - 22*m**3/5 + 226*m**2/15 + 14*m - 348/5 = 0.
-2, 3, 29
Suppose -2*k**5/5 + 42*k**4/5 + 2*k**3/5 - 42*k**2/5 = 0. What is k?
-1, 0, 1, 21
Factor -5*z**2 - 3725*z - 3720.
-5*(z + 1)*(z + 744)
Find s such that -2*s**3/5 + 2*s**2 - 12*s/5 = 0.
0, 2, 3
Determine q so that -2*q**3 + 1758*q**2 - 515094*q + 50307514 = 0.
293
Solve -2*z**3/7 + 26*z**2 + 2*z/7 - 26 = 0 for z.
-1, 1, 91
Factor -6*h**4 + 250*h**3 + 84*h**2.
-2*h**2*(h - 42)*(3*h + 1)
Let -5*k**2/4 - 105*k/4 - 95/2 = 0. Calculate k.
-19, -2
Find c such that -c**3/4 - 21*c**2 - 477*c/4 - 351/2 = 0.
-78, -3
Factor -25*g**4/4 + 465*g**3/2 - 9189*g**2/4 + 2511*g - 729.
-(g - 18)**2*(5*g - 3)**2/4
What is u in -2*u**5/13 - 2*u**4/13 + 18*u**3/13 + 2*u**2 - 16*u/13 - 24/13 = 0?
-2, -1, 1, 3
Let -3*p**3 - 144*p**2 + 3027*p - 2880 = 0. What is p?
-64, 1, 15
Solve 4*m**2/7 - 192*m/7 + 2160/7 = 0.
18, 30
Suppose -2*a**3/21 + 566*a**2/21 - 80*a/3 - 376/7 = 0. Calculate a.
-1, 2, 282
Factor o**4 + 16*o**3 - 3*o**2 - 46*o + 32.
(o - 1)**2*(o + 2)*(o + 16)
Factor 4*s**5 + 168*s**4 + 2052*s**3 + 5776*s**2.
4*s**2*(s + 4)*(s + 19)**2
Find c such that 2*c**5/3 - 14*c**4/3 + 32*c**3/3 - 16*c**2/3 - 32*c/3 + 32/3 = 0.
-1, 2
Let z**2/6 + 2*z/3 - 16 = 0. Calculate z.
-12, 8
Let 5*k**2 + 10350*k + 5356125 = 0. Calculate k.
-1035
Factor -15*n**3 + 1746*n**2 - 51156*n + 20184.
-3*(n - 58)**2*(5*n - 2)
Let r**2/7 - 83*r/7 + 76 = 0. Calculate r.
7, 76
Find m such that -2*m**5/7 - 10*m**4/7 + 4*m**3/7 + 20*m**2/7 - 2*m/7 - 10/7 = 0.
-5, -1, 1
Factor -21*d**3 - 162*d**2 + 237*d - 54.
-3*(d - 1)*(d + 9)*(7*d - 2)
Let -2*j**4/3 - 1028*j**3/3 - 134138*j**2/3 - 174760*j - 173400 = 0. What is j?
-255, -2
Solve -5*f**2 + 115*f + 250 = 0 for f.
-2, 25
Solve 2*v**5 - 24*v**4 - 10*v**3 + 672*v**2 - 640*v = 0.
-5, 0, 1, 8
Factor 4*j**3/3 - 152*j**2/3 - 6916*j/3 - 6760/3.
4*(j - 65)*(j + 1)*(j + 26)/3
Suppose c**3/5 - 252*c**2/5 = 0. Calculate c.
0, 252
Determine w so that 2*w**3/9 + 8*w**2/9 + 10*w/9 + 4/9 = 0.
-2, -1
Determine i, given that i**5 - 11*i**4 - 25*i**3 - 13*i**2 = 0.
-1, 0, 13
Suppose 210681*g**2/2 - 1836*g + 8 = 0. What is g?
4/459
Let -5*y**4 - 60*y**3 - 195*y**2 - 140*y = 0. What is y?
-7, -4, -1, 0
Suppose 3*q**2/4 + 91*q/4 + 15/2 = 0. What is q?
-30, -1/3
Determine q, given that -4*q**5 - 316*q**4 - 6696*q**3 - 17936*q**2 - 11552*q = 0.
-38, -2, -1, 0
Factor -a**3/3 + 4*a**2/3.
-a**2*(a - 4)/3
Find y such that 180*y**4 + 7248*y**3 + 8897*y**2 + 145*y - 1950 = 0.
-39, -5/6,