-2, -2/7, 0
Find j, given that -463*j**4/6 - 154*j**3 + 2*j**2/3 = 0.
-2, 0, 2/463
Factor -5*y**3 - 2010*y**2 + 2015*y.
-5*y*(y - 1)*(y + 403)
Factor -10*h**2 - 108*h + 22.
-2*(h + 11)*(5*h - 1)
Suppose f**4/6 + 7*f**3/6 + f**2/2 - 31*f/6 + 10/3 = 0. Calculate f.
-5, -4, 1
Solve -2*v**2/13 + 72*v/13 - 198/13 = 0 for v.
3, 33
Find g such that 3*g**2/2 + 21*g/2 + 18 = 0.
-4, -3
Suppose -2*o**3/7 + 300*o**2/7 - 15000*o/7 + 250000/7 = 0. Calculate o.
50
Determine h so that -3*h**2 + 126*h + 864 = 0.
-6, 48
Let 4*k**4/5 + 17*k**3/5 + 8*k**2/5 - 23*k/5 - 6/5 = 0. What is k?
-3, -2, -1/4, 1
Factor -5*t**3 + 525*t**2 - 13515*t - 14045.
-5*(t - 53)**2*(t + 1)
Find b such that 5*b**4 - 215*b**3 - 15*b**2 + 655*b - 430 = 0.
-2, 1, 43
Determine n so that 12*n**5 + 1344*n**4 - 2721*n**3 + 1707*n**2 - 342*n = 0.
-114, 0, 1/2, 1
Determine o, given that -2*o**4 - 292*o**3 - 10362*o**2 + 21608*o - 10952 = 0.
-74, 1
Let -4*j**5/3 + 4948*j**4 - 6120676*j**3 + 7571276212*j**2/3 = 0. Calculate j.
0, 1237
Factor -2*s**3 + 8*s**2 - 10*s + 4.
-2*(s - 2)*(s - 1)**2
Find m, given that -4*m**5 - 4*m**4 + 136*m**3 + 256*m**2 - 384*m = 0.
-4, 0, 1, 6
Solve -2*b**2/13 + 24*b/13 - 70/13 = 0.
5, 7
Find s such that 2*s**2/7 - 108*s/7 + 1458/7 = 0.
27
Suppose -3*q**5/2 - 243*q**4 - 9840*q**3 + 243*q**2 + 19683*q/2 = 0. What is q?
-81, -1, 0, 1
What is k in -k**4 + 7*k**3 - 12*k**2 = 0?
0, 3, 4
Find x, given that -x**4/5 + 296*x**3/5 - 32856*x**2/5 + 1620896*x/5 - 29986576/5 = 0.
74
Factor -2*c**3/9 - 568*c**2/9 - 13630*c/3 - 8836.
-2*(c + 2)*(c + 141)**2/9
Find q, given that -2*q**4/19 + 396*q**3/19 - 1176*q**2/19 + 1172*q/19 - 390/19 = 0.
1, 195
Factor 2*i**4/7 + 828*i**3/7 + 114264*i**2/7 + 5256144*i/7.
2*i*(i + 138)**3/7
Determine o, given that -5*o**3 - 55*o**2 - 120*o = 0.
-8, -3, 0
Factor -15*q**3/2 - 44*q**2 + 6*q.
-q*(q + 6)*(15*q - 2)/2
Solve -32*i**3 + 308*i**2 - 680*i - 300 = 0 for i.
-3/8, 5
Find u such that -u**3 - 3*u**2 + 4*u + 12 = 0.
-3, -2, 2
Factor -36*m**3 - 32*m**2 + 44*m + 40.
-4*(m + 1)**2*(9*m - 10)
Let 2*q**2/3 - 1520*q + 866400 = 0. Calculate q.
1140
Find h such that h**2/4 + 13*h/4 + 3 = 0.
-12, -1
Factor 2*k**2/5 - 466*k/5 + 276.
2*(k - 230)*(k - 3)/5
Let -d**3/4 + 5*d**2 + d/4 - 5 = 0. Calculate d.
-1, 1, 20
Factor -o**2/5 + 186*o/5 - 8649/5.
-(o - 93)**2/5
Factor 2*w**2/7 + 70*w - 492/7.
2*(w - 1)*(w + 246)/7
Factor -4*f**3 + 92*f**2 - 572*f + 484.
-4*(f - 11)**2*(f - 1)
Determine v so that 5*v**5 + 2*v**4 - 341*v**3/9 - 166*v**2/9 + 404*v/9 - 104/9 = 0.
-2, 1/3, 2/3, 13/5
Solve -w**2/4 - 119*w/4 - 285/2 = 0 for w.
-114, -5
Find d such that -74*d**4/7 - 50*d**3/7 + 320*d**2/7 + 200*d/7 - 96/7 = 0.
-2, -1, 12/37, 2
Solve -3*g**4 - 36*g**3 + 135*g**2 = 0.
-15, 0, 3
Factor -5*a**2 - 130*a + 135.
-5*(a - 1)*(a + 27)
Find n such that 2*n**5 - 4*n**4 + 4*n**2 - 2*n = 0.
-1, 0, 1
Factor 5*m**2 - 555*m - 560.
5*(m - 112)*(m + 1)
Factor 6*g**2 + 2582*g - 1724.
2*(g + 431)*(3*g - 2)
Factor -z**2/3 - 2030*z - 3090675.
-(z + 3045)**2/3
Find g, given that 4*g**4 - 104*g**3 + 100*g**2 = 0.
0, 1, 25
Factor 4*c**5 - 24*c**4 + 56*c**3 - 64*c**2 + 36*c - 8.
4*(c - 2)*(c - 1)**4
Determine f, given that -45*f**2 + 5390*f + 1200 = 0.
-2/9, 120
Solve 2*s**5/13 + 662*s**4/13 + 654*s**3/13 - 1990*s**2/13 - 3304*s/13 - 1320/13 = 0 for s.
-330, -1, 2
Factor -v**5/7 + 3*v**4/7 - 3*v**3/7 + v**2/7.
-v**2*(v - 1)**3/7
Factor -r**4 + 254*r**3 - 756*r**2 + 754*r - 251.
-(r - 251)*(r - 1)**3
Factor -3*z**5/5 + 6*z**4/5 - 6*z**2/5 + 3*z/5.
-3*z*(z - 1)**3*(z + 1)/5
Let i**5/3 - 22*i**4/3 + 13*i**3 + 22*i**2/3 - 40*i/3 = 0. Calculate i.
-1, 0, 1, 2, 20
Solve -4*b**3 - 4384*b**2 - 1201216*b = 0.
-548, 0
Factor -p**2/5 - 572*p/5.
-p*(p + 572)/5
Find t, given that 2*t**2 - 280*t - 858 = 0.
-3, 143
Factor t**4/2 - 111*t**3/2 - 56*t**2.
t**2*(t - 112)*(t + 1)/2
Determine j so that 4*j**4 - 16*j**3 - 340*j**2 + 352*j = 0.
-8, 0, 1, 11
Determine p, given that 5*p**2 + 775*p + 10500 = 0.
-140, -15
Let m**5/6 - 61*m**4/6 + 369*m**3/2 - 1701*m**2/2 = 0. What is m?
0, 7, 27
Factor -4*c**2 - 1944*c - 1940.
-4*(c + 1)*(c + 485)
Let -4*l**2 + 4272*l = 0. Calculate l.
0, 1068
Factor -2*z**2 - 94*z.
-2*z*(z + 47)
Find h such that 81*h**4/4 - 1386*h**3 + 3286*h**2 - 1256*h + 132 = 0.
2/9, 2, 66
Suppose -112*a**5 + 108*a**4 + 236*a**3 - 16*a = 0. Calculate a.
-1, -2/7, 0, 1/4, 2
Find g, given that -28*g**5 - 72*g**4 + 456*g**3 - 656*g**2 + 372*g - 72 = 0.
-6, 3/7, 1
Suppose -2*d**4/7 + 232*d**3/7 - 10092*d**2/7 + 195112*d/7 - 1414562/7 = 0. Calculate d.
29
What is u in 2*u**2/9 - 74*u/9 - 76/9 = 0?
-1, 38
Suppose -i**4 - 6*i**3 - 4*i**2 + 24*i + 32 = 0. Calculate i.
-4, -2, 2
Determine a so that -3*a**3 - 1032*a**2 - 88752*a = 0.
-172, 0
Suppose -338*i**5 + 910*i**4 + 304*i**3 - 1328*i**2 - 416*i - 32 = 0. What is i?
-1, -2/13, 2
Solve 6*r**4/11 - 256*r**3/11 + 412*r**2/11 - 80*r/11 - 82/11 = 0.
-1/3, 1, 41
Factor 13*x**3 + 188*x**2 + 721*x + 294.
(x + 7)**2*(13*x + 6)
Factor f**4 - 10*f**3 + 23*f**2 - 14*f.
f*(f - 7)*(f - 2)*(f - 1)
Find y such that -2*y**5/7 + 24*y**4/7 + 94*y**3/7 - 84*y**2 + 808*y/7 - 48 = 0.
-6, 1, 2, 14
What is c in c**3 - 3*c**2 + 2*c = 0?
0, 1, 2
Find m such that -m**2/3 - 106*m/3 - 2809/3 = 0.
-53
Find m such that -3*m**2 - 6*m = 0.
-2, 0
Factor 3*f**4 + 93*f**3 + 87*f**2 - 93*f - 90.
3*(f - 1)*(f + 1)**2*(f + 30)
Let 3*f**3/4 - 51*f**2/4 - 1089*f/2 + 1134 = 0. Calculate f.
-21, 2, 36
Factor -4*g**4 + 12*g**2 + 8*g.
-4*g*(g - 2)*(g + 1)**2
Factor 7*w**3 + 375*w**2 - 3151*w + 1281.
(w - 7)*(w + 61)*(7*w - 3)
Determine h so that -48*h**4 - 1128*h**3 + 3069*h**2 - 1320*h + 156 = 0.
-26, 1/4, 2
Solve 12*j**3 + 51*j**2 + 48*j + 9 = 0.
-3, -1, -1/4
Let s**5 + 11*s**4 + 18*s**3 - 2*s**2 - 19*s - 9 = 0. What is s?
-9, -1, 1
Factor -2*z**4 - 4812*z**3 - 3859224*z**2 - 1031699216*z.
-2*z*(z + 802)**3
What is u in -5*u**2 + 195*u + 200 = 0?
-1, 40
Factor -2*j**2/17 - 98*j/17.
-2*j*(j + 49)/17
Find f such that 3*f**5/5 + 9*f**4/5 + 6*f**3/5 = 0.
-2, -1, 0
Factor 5*l**2 + 1660*l - 3340.
5*(l - 2)*(l + 334)
Solve 4*b**5 - 28*b**4 - 40*b**3 + 280*b**2 + 36*b - 252 = 0 for b.
-3, -1, 1, 3, 7
Find h such that -5*h**5/9 + 196*h**4/3 - 344*h**3/9 - 274*h**2/3 + 349*h/9 + 26 = 0.
-1, -2/5, 1, 117
Solve -2*n**4/9 + 14*n**3/9 - 26*n**2/9 - 2*n/3 + 4 = 0 for n.
-1, 2, 3
Factor -d**4/2 + 91*d**3/2 - 1929*d**2/2 - 6439*d/2 - 2209.
-(d - 47)**2*(d + 1)*(d + 2)/2
Determine p, given that 8*p**5/7 - 22*p**4/7 - 2*p**3 + 22*p**2/7 + 6*p/7 = 0.
-1, -1/4, 0, 1, 3
Determine c, given that -c**2/6 - 3*c/2 + 27 = 0.
-18, 9
Factor -m**4 - 34*m**3 + 147*m**2 - 188*m + 76.
-(m - 2)*(m - 1)**2*(m + 38)
Solve l**4 - 28*l**3/3 + 21*l**2 - 6*l = 0 for l.
0, 1/3, 3, 6
What is a in -2*a**2/3 - 544*a/3 - 36992/3 = 0?
-136
Factor a**3/5 - 4*a**2 + 76*a/5 + 48.
(a - 12)*(a - 10)*(a + 2)/5
Find q, given that 48*q**3 + 92*q**2 + 40*q - 4 = 0.
-1, 1/12
Factor -2*v**3/9 + 2*v**2/9 + 10*v/9 + 2/3.
-2*(v - 3)*(v + 1)**2/9
Let -2*n**4/9 - 58*n**3 - 34316*n**2/9 - 3640*n + 67600/9 = 0. Calculate n.
-130, -2, 1
Determine h so that h**2/5 - 2*h/5 - 7 = 0.
-5, 7
Factor 5*t**2 + 305*t + 2550.
5*(t + 10)*(t + 51)
Solve -2*v**4 - 86*v**3 - 246*v**2 - 242*v - 80 = 0.
-40, -1
Determine n so that -9*n**5 - 33*n**4 - 3*n**3 + 57*n**2 + 36*n = 0.
-3, -1, 0, 4/3
Factor 100*q**3 + 220*q**2 - 1204*q + 980.
4*(q + 5)*(5*q - 7)**2
Factor -3*c**2/5 + 342*c/5 - 9747/5.
-3*(c - 57)**2/5
Solve 2*q**4/7 - 10*q**3 - 776*q**2/7 + 3880*q/7 - 4128/7 = 0 for q.
-12, 2, 43
Find v such that -2*v**5 - 16*v**4 - 16*v**3 + 64*v**2 + 96*v = 0.
-6, -2, 0, 2
Find c, given that 4*c**2/5 - 464*c/5 + 1356/5 = 0.
3, 113
Factor -44*t**4/5 + 3108*t**3/5 + 1136*t**2/5.
-4*t**2*(t - 71)*(11*t + 4)/5
Factor -40*y**4 - 4*y**3 + 12*y**2.
-4*y**2*(2*y - 1)*(5*y + 3)
Solve 5*t**5 + 705*t**4 + 2770*t**3 + 4130*t**2 + 2745*t + 685 = 0.
-137, -1
Solve 72*a**5/7 + 1104*a**4/7 + 1226*a**3/7 - 1698*a**2/7 - 648*a/7 - 8 = 0.
-14, -2, -1/6, 1
Factor 5*f**2/3 - 3550*f/3 + 2360.
5*(f - 708)*(f - 2)/3
Factor -4*r**3 + 60*r**2 - 288*r + 448.
-4*(r - 7)*(r - 4)**2
Suppose -3*t**4 + 6*t**3/5 + 9*t**2 - 48*t/5 + 12/5 = 0. Calculate t.
-2, 2/5, 1
Determine r so that 67*r**3 + r**2 = 0.
-1/67, 0
Determine w, given that 4*w**3 + 120*w**2 + 668*w - 3192 = 0.
-19, -14, 3
Factor -r**3/3 + 