t -5*r**3 + 365*r**2 + 1140*r = 0. What is r?
-3, 0, 76
Solve 3*r**5 - 30*r**4 + 117*r**3 - 222*r**2 + 204*r - 72 = 0 for r.
1, 2, 3
Factor -a**2/3 + 1639*a/3.
-a*(a - 1639)/3
Factor 3*f**2 + 114*f + 111.
3*(f + 1)*(f + 37)
Factor -12*v**3/7 - 41*v**2/7 - 13*v/7 + 6/7.
-(v + 3)*(3*v + 2)*(4*v - 1)/7
Find b, given that b**5/7 - 15*b**4/7 + 73*b**3/7 - 15*b**2 - 74*b/7 + 120/7 = 0.
-1, 1, 4, 5, 6
Factor 5*c**4 - 290*c**3 + 4200*c**2 + 290*c - 4205.
5*(c - 29)**2*(c - 1)*(c + 1)
What is f in -5*f**2/4 - 499*f - 399/4 = 0?
-399, -1/5
Let 5*m**2 + 150*m = 0. What is m?
-30, 0
Factor -3*q**4 - 6*q**3 + 81*q**2 - 324.
-3*(q - 3)**2*(q + 2)*(q + 6)
Factor 2*f**2/15 - 844*f/15 - 1696/15.
2*(f - 424)*(f + 2)/15
Factor 63*k**3/4 + 32*k**2 - 185*k/4 - 3/2.
(k - 1)*(k + 3)*(63*k + 2)/4
Factor -l**4/4 + 25*l**3/4 - 81*l**2/2 + 216.
-(l - 12)**2*(l - 3)*(l + 2)/4
Factor 121*x**3 + 9361*x**2 + 3392*x + 308.
(x + 77)*(11*x + 2)**2
Factor -3*q**4/4 - 51*q**3/4 + 225*q**2 - 996*q + 1392.
-3*(q - 4)**3*(q + 29)/4
Determine z so that -2*z**5/11 + 28*z**4/11 - 128*z**3/11 + 192*z**2/11 = 0.
0, 4, 6
Determine q, given that -2*q**3/9 - 62*q**2/9 - 170*q/3 - 50 = 0.
-15, -1
Factor -4*a**2 - 1620*a + 3256.
-4*(a - 2)*(a + 407)
Find x, given that 3*x**2 - 633*x + 1872 = 0.
3, 208
Determine t so that t**2/3 + 236*t/3 + 13924/3 = 0.
-118
Factor -14*i**3 - 136*i**2 - 184*i + 64.
-2*(i + 2)*(i + 8)*(7*i - 2)
Factor -5*s**2 - 370*s + 8280.
-5*(s - 18)*(s + 92)
Factor -3*a**3 + 6*a**2 + 3*a - 6.
-3*(a - 2)*(a - 1)*(a + 1)
Let 42*o**3 - 610*o**2 + 856*o - 312 = 0. What is o?
2/3, 6/7, 13
Find p, given that -237*p**2 + 240*p - 3 = 0.
1/79, 1
Suppose -5*f**3 + 1010*f**2 - 52000*f + 100000 = 0. What is f?
2, 100
Factor x**4/4 + 181*x**3/2 + 1793*x**2/4 + 715*x + 357.
(x + 1)*(x + 2)**2*(x + 357)/4
Factor 2*d**2/11 + 80*d + 2622/11.
2*(d + 3)*(d + 437)/11
Find s such that -3*s**5/5 + 66*s**4/5 - 432*s**3/5 + 1134*s**2/5 - 1053*s/5 = 0.
0, 3, 13
Factor -2*w**3 - 36*w**2 - 90*w + 648.
-2*(w - 3)*(w + 9)*(w + 12)
Solve -2*k**3/5 - 6*k**2 + 242*k/5 - 42 = 0 for k.
-21, 1, 5
Find m, given that m**3/7 - 47*m**2/7 + 46*m/7 = 0.
0, 1, 46
Determine d so that 60*d**3 - 175*d**2 + 105*d + 10 = 0.
-1/12, 1, 2
Solve 8*z**3/11 + 214*z**2/11 - 518*z/11 + 116/11 = 0 for z.
-29, 1/4, 2
Determine a so that 18*a**4/5 + 732*a**3/5 + 7664*a**2/5 + 4868*a/5 + 798/5 = 0.
-21, -19, -1/3
Solve 2*g**5 - 10*g**3 + 8*g = 0.
-2, -1, 0, 1, 2
Factor 3*g**3 - 591*g**2 + 29400*g - 28812.
3*(g - 98)**2*(g - 1)
Factor -3*v**3/8 - 3*v**2/4 + 15*v/8 + 9/4.
-3*(v - 2)*(v + 1)*(v + 3)/8
Factor w**4 + 2*w**3 - 36*w**2 - 72*w.
w*(w - 6)*(w + 2)*(w + 6)
What is x in 4*x**4/3 + 592*x**3/3 + 23056*x**2/3 + 28416*x + 27648 = 0?
-72, -2
Factor -3*v**2 - 3*v + 270.
-3*(v - 9)*(v + 10)
Solve -3*n**2 + 609*n = 0.
0, 203
Solve -20*b**2/3 - 1625*b/6 + 205/2 = 0 for b.
-41, 3/8
Factor -c**3/3 - 46*c**2/3.
-c**2*(c + 46)/3
Suppose -2*b**4 - 6*b**3 = 0. Calculate b.
-3, 0
Factor 3*n**2/4 + 21*n + 81/4.
3*(n + 1)*(n + 27)/4
Solve -z**3/4 - 155*z**2/2 + 623*z/4 - 78 = 0 for z.
-312, 1
Suppose 14*v**3/3 - 10*v**2/3 - 32*v/3 - 8/3 = 0. What is v?
-1, -2/7, 2
Suppose -h**5 - h**4 + 31*h**3 + h**2 - 30*h = 0. Calculate h.
-6, -1, 0, 1, 5
Factor 10*r**4 - 188*r**3 + 142*r**2 + 36*r.
2*r*(r - 18)*(r - 1)*(5*r + 1)
Factor -l**2/7 + 4/7.
-(l - 2)*(l + 2)/7
Factor -1101*c**4/4 + 828*c**3 - 1665*c**2/2 + 282*c - 9/4.
-3*(c - 1)**3*(367*c - 3)/4
Solve -2*z**3 - 5832*z**2 + 11670*z - 5836 = 0.
-2918, 1
What is c in -c**3 - 5*c**2 + 58*c - 88 = 0?
-11, 2, 4
Factor -u**2/3 - 518*u/3 - 67081/3.
-(u + 259)**2/3
Determine j, given that -1458*j**2 - 378*j - 49/2 = 0.
-7/54
Solve -2*q**2/5 + 448*q/5 - 25088/5 = 0 for q.
112
Factor -2*w**4 + 34*w**3 - 210*w**2 + 550*w - 500.
-2*(w - 5)**3*(w - 2)
Determine p so that 4*p**2 - 9216*p - 9220 = 0.
-1, 2305
Factor 4*o**3 + 64*o**2 - 4*o - 64.
4*(o - 1)*(o + 1)*(o + 16)
What is f in -8*f**3 + 20*f**2 + 24*f - 36 = 0?
-3/2, 1, 3
Determine j so that 78*j**2 + 165*j + 18 = 0.
-2, -3/26
Solve -l**3/6 + 66*l**2 - 12935*l/2 - 39601/3 = 0.
-2, 199
Factor -4*b**3 + 704*b**2 - 5440*b + 10752.
-4*(b - 168)*(b - 4)**2
Determine k, given that -k**4 + 7*k**3 - 9*k**2 - 7*k + 10 = 0.
-1, 1, 2, 5
Factor 16*t**3 + 100*t**2 + 168*t + 36.
4*(t + 3)**2*(4*t + 1)
Solve 14*t**3 - 312*t**2 + 382*t - 84 = 0 for t.
2/7, 1, 21
Solve 5*v**2 - 70*v = 0 for v.
0, 14
Solve 3*t**4 + 6*t**3 = 0 for t.
-2, 0
Solve 52*x**3 + 640*x**2 + 2624*x + 3584 = 0.
-56/13, -4
Factor 2*h**3/17 + 2214*h**2/17 + 816966*h/17 + 100486818/17.
2*(h + 369)**3/17
Factor g**2/2 + 3*g/2 - 9.
(g - 3)*(g + 6)/2
Factor q**3/5 - 91*q**2/5 - 201*q/5 + 279.
(q - 93)*(q - 3)*(q + 5)/5
Let 2*p**3 + 18*p**2 = 0. Calculate p.
-9, 0
Factor 5*z**3 - 25*z**2.
5*z**2*(z - 5)
Factor -5*v**2 + 535*v + 1650.
-5*(v - 110)*(v + 3)
Factor 3*c**2 - 2106*c + 369603.
3*(c - 351)**2
Factor -p**2/8 - 5*p/8 - 1/2.
-(p + 1)*(p + 4)/8
Find z, given that 2*z**4/5 + 64*z**3/5 + 624*z**2/5 + 1792*z/5 + 1568/5 = 0.
-14, -2
Find h such that 2*h**4 - 36*h**3 + 126*h**2 + 244*h - 336 = 0.
-2, 1, 7, 12
Solve -2*d**3 + 166*d**2 - 324*d = 0 for d.
0, 2, 81
Factor -h**3 + h**2 + 17*h + 15.
-(h - 5)*(h + 1)*(h + 3)
Factor 3*v**4/8 - 3*v**3/4 - 9*v**2/8 + 3*v/2 + 3/2.
3*(v - 2)**2*(v + 1)**2/8
Factor -2*s**4/3 - 68*s**3/3 - 818*s**2/3 - 1360*s - 2400.
-2*(s + 5)**2*(s + 12)**2/3
Solve -x**4 + x**3 + 12*x**2 - 28*x + 16 = 0.
-4, 1, 2
Find u such that 10*u**5/7 + 86*u**4 + 9690*u**3/7 + 18734*u**2/7 + 3364*u/7 = 0.
-29, -2, -1/5, 0
Solve 2*s**4/11 + 1982*s**3/11 + 44730*s**2 + 44550*s = 0.
-495, -1, 0
Factor x**3/2 - 35*x**2/2 + 375*x/2 - 1125/2.
(x - 15)**2*(x - 5)/2
Factor -2*r**5/11 - 4*r**4/11 + 4*r**3/11 + 16*r**2/11 + 14*r/11 + 4/11.
-2*(r - 2)*(r + 1)**4/11
Solve 4*c**5 + 48*c**4 + 140*c**3 - 48*c**2 - 144*c = 0 for c.
-6, -1, 0, 1
Suppose 3*m**4/5 - 429*m**3/5 - 2649*m**2/5 - 4899*m/5 - 2682/5 = 0. What is m?
-3, -2, -1, 149
Factor -3*r**3 + 27*r**2 - 69*r + 45.
-3*(r - 5)*(r - 3)*(r - 1)
Suppose 4*u**4 + 24*u**3 + 32*u**2 - 24*u - 36 = 0. What is u?
-3, -1, 1
Factor 5*u**5 + 575*u**4 - 1165*u**3 + 585*u**2.
5*u**2*(u - 1)**2*(u + 117)
Determine a so that 20*a**4 - 40*a**3 - 135*a**2 - 95*a - 20 = 0.
-1, -1/2, 4
Let -64*c**4 - 608*c**3 + 316*c**2 - 40*c = 0. Calculate c.
-10, 0, 1/4
Determine l so that -5*l**4 - 160*l**3 - 1540*l**2 - 3920*l = 0.
-14, -4, 0
What is s in -4*s**4/9 + 8*s**3/3 + 20*s**2 - 200*s/9 = 0?
-5, 0, 1, 10
Let -3*m**2 + 120*m = 0. Calculate m.
0, 40
Factor -3*f**4/5 + 21*f**3/5 + 51*f**2/5 + 27*f/5.
-3*f*(f - 9)*(f + 1)**2/5
Factor f**5/2 + f**4/2.
f**4*(f + 1)/2
Determine y, given that -2*y**5 - 16*y**4 - 2*y**3 + 164*y**2 + 40*y - 400 = 0.
-5, -2, 2
Suppose 4*d**5 + 124*d**4 - 12*d**3 - 380*d**2 - 248*d = 0. Calculate d.
-31, -1, 0, 2
Suppose -2*r**5/9 + 4*r**4/3 - 2*r**3/9 - 16*r**2/3 + 40*r/9 = 0. What is r?
-2, 0, 1, 2, 5
Find s, given that -2*s**4/7 - 36*s**3/7 - 62*s**2/7 + 36*s/7 + 64/7 = 0.
-16, -2, -1, 1
Factor -2*g**2 - 132*g - 130.
-2*(g + 1)*(g + 65)
Find q, given that 5*q**2 - 165*q + 160 = 0.
1, 32
Factor q**4/2 + 7*q**3/2 - 14*q**2 + 10*q.
q*(q - 2)*(q - 1)*(q + 10)/2
Find v such that 4*v**2 - 348*v - 352 = 0.
-1, 88
Factor -166*s**2/5 - 138*s/5 + 28/5.
-2*(s + 1)*(83*s - 14)/5
Find h, given that 4*h**2/7 - 148*h/7 = 0.
0, 37
Factor -3*t**4/7 + 537*t**3/7 + 3303*t**2/7 + 4995*t/7.
-3*t*(t - 185)*(t + 3)**2/7
Solve -2*h**4 + 1930*h**3 - 5778*h**2 + 5774*h - 1924 = 0 for h.
1, 962
Factor 3*f**3 - 309*f**2 + 2328*f - 4560.
3*(f - 95)*(f - 4)**2
Factor -21*r**4 + 576*r**3 - 26472*r**2/7 - 2304*r - 336.
-3*(r - 14)**2*(7*r + 2)**2/7
Find h, given that -2*h**4/9 + 2*h**3/3 + 38*h**2/9 - 58*h/3 + 20 = 0.
-5, 2, 3
Suppose 6*k**5/11 - 17484*k**4/11 + 12719592*k**3/11 + 25509168*k**2/11 = 0. What is k?
-2, 0, 1458
Factor -3*s**4/8 - 9*s**3/8 + 3*s/2.
-3*s*(s - 1)*(s + 2)**2/8
Find i such that -4*i**3 - 100*i**2 - 572*i - 476 = 0.
-17, -7, -1
Factor 2*s**3/3 - 10*s**2 - 22*s - 34/3.
2*(s - 17)*(s + 1)**2/3
Let 4*z**3/5 + 108*z**2/5 + 672*z/5 + 1216/5 = 0. Calculate z.
-19, -4
Factor -2*j**5 - 22*j**4 - 64*j**3 - 56*j**2.
-2*j**2*(j + 2)**2*(j + 7)
Factor -44*g**4/5 - 6988*g**3/5 - 369516*g**2/5 - 6483172*g/5 + 1191016/5.
-4*(g + 53)**3*(11*g - 2)/5
Solve 2*a**3/7 + 90