/2 + 95*x**2/2 + 1091*x + 1044 = 0.
-58, -36, -1
Solve z**2/9 - 5902*z/3 + 17705/9 = 0 for z.
1, 17705
Factor 2*t**3/5 - 20*t**2 + 1144*t/5 - 1904/5.
2*(t - 34)*(t - 14)*(t - 2)/5
Find n such that -2*n**4/7 + 132*n**3/7 + 6350*n**2/7 + 18096*n/7 + 11880/7 = 0.
-30, -2, -1, 99
Factor -3*m**3 + 10662*m**2 - 21315*m + 10656.
-3*(m - 3552)*(m - 1)**2
Factor -9*y**3/4 - 245607*y**2/4 - 163735*y/4 - 27289/4.
-(y + 27289)*(3*y + 1)**2/4
Determine u, given that 42*u**3/23 + 166*u**2/23 + 118*u/23 - 6/23 = 0.
-3, -1, 1/21
Solve -g**3 - 8722*g**2 + 52363*g - 43640 = 0 for g.
-8728, 1, 5
Let 5*i**2 - 4613880*i = 0. What is i?
0, 922776
Solve 8*b**4/15 + 238*b**3/5 + 6534*b**2/5 + 154616*b/15 + 2496 = 0.
-40, -36, -13, -1/4
Determine d so that 32*d**5/11 - 144*d**4/11 - 42222*d**3/11 - 571324*d**2/11 - 786030*d/11 - 25992 = 0.
-19, -3/4, 44
Solve 2*t**2/7 - 4710*t/7 - 138272/7 = 0 for t.
-29, 2384
Factor -816*f**2 + 141165*f + 519.
-3*(f - 173)*(272*f + 1)
Factor -2*j**2 - 218724*j - 218722.
-2*(j + 1)*(j + 109361)
Determine k, given that -4*k**3 - 280*k**2 + 11372*k - 11088 = 0.
-99, 1, 28
Solve -6*x**5/13 + 128*x**4/13 - 506*x**3/13 - 168*x**2/13 + 1112*x/13 + 640/13 = 0 for x.
-1, -2/3, 2, 5, 16
Solve r**3 + 106*r**2 + 99*r - 630 = 0 for r.
-105, -3, 2
Factor -4*j**2 + 25572*j + 25576.
-4*(j - 6394)*(j + 1)
Factor -h**2 + 316*h - 23668.
-(h - 194)*(h - 122)
Factor -2*h**4/23 - 616350*h**3/23 - 3698052*h**2/23 - 7396072*h/23 - 4930704/23.
-2*(h + 2)**3*(h + 308169)/23
Factor q**4/3 + 93944*q**3/3 + 980660534*q**2 + 30717228340832*q/3 + 153512603906485/3.
(q + 5)*(q + 31313)**3/3
Factor 4*m**2 + 3872748*m.
4*m*(m + 968187)
Suppose t**5/3 + 178*t**4/3 - 910*t**3/3 + 920*t**2/3 + 303*t - 366 = 0. What is t?
-183, -1, 1, 2, 3
Factor 4*q**2 - 28016*q + 28012.
4*(q - 7003)*(q - 1)
Factor -m**2/8 - 478723*m/8 + 119681/2.
-(m - 1)*(m + 478724)/8
Let f**4/5 + 164*f**3/5 + 6778*f**2/5 + 86076*f/5 + 79461/5 = 0. What is f?
-109, -27, -1
Factor a**2/3 + 80*a + 1332.
(a + 18)*(a + 222)/3
Factor -6*y**3/7 + 6366*y**2/7 - 366000*y/7.
-6*y*(y - 1000)*(y - 61)/7
Suppose -3*o**4 + 5760*o**3 - 3663072*o**2 + 756478464*o + 9615239424 = 0. What is o?
-12, 644
Solve 3*n**4/4 - 399*n**3/4 + 3225*n**2/2 - 6900*n = 0.
0, 8, 10, 115
What is c in 5*c**3 + 114535*c**2 + 655970575*c + 655856045 = 0?
-11453, -1
Factor -5*i**2 - 1840*i - 99660.
-5*(i + 66)*(i + 302)
Factor y**2 + 15256*y - 15257.
(y - 1)*(y + 15257)
What is a in 139*a**3/3 + 11539*a**2/3 - 11510*a/3 - 56 = 0?
-84, -2/139, 1
Determine v, given that -v**5/6 - 13*v**4 - 1703*v**3/6 - 1485*v**2 + 6642*v - 4860 = 0.
-45, -18, 1, 2
Factor 4*n**3 + 868*n**2 + 7448*n - 8320.
4*(n - 1)*(n + 10)*(n + 208)
Suppose -45*d**4/4 - 725*d**3 + 6025*d**2 - 6900*d - 4320 = 0. Calculate d.
-72, -4/9, 2, 6
Factor 2*a**2/5 - 68278*a/5 + 68276/5.
2*(a - 34138)*(a - 1)/5
Factor n**2/2 + 24*n - 290.
(n - 10)*(n + 58)/2
Let -u**3/5 - 464*u**2/5 - 6228*u/5 + 6480 = 0. Calculate u.
-450, -18, 4
Solve 2*f**2 - 510*f + 11500 = 0.
25, 230
Suppose -4*a**3/7 + 35260*a**2 - 3807630432*a/7 + 3807383616/7 = 0. Calculate a.
1, 30852
What is b in b**3 - 1765*b**2 + 767207*b + 10274173 = 0?
-13, 889
Let -w**2 - 1606*w - 6408 = 0. Calculate w.
-1602, -4
What is v in -27*v**5 + 13536*v**4 - 17580*v**3 - 210576*v**2 + 288192*v - 96000 = 0?
-4, 2/3, 4, 500
Find w such that 5*w**2 + 9575*w - 48000 = 0.
-1920, 5
Factor 5*o**4 + 680*o**3 - 5*o**2 - 680*o.
5*o*(o - 1)*(o + 1)*(o + 136)
Factor 3111743089*v**3/5 + 622370931*v**2 + 111567*v/5 + 1/5.
(v + 1)*(55783*v + 1)**2/5
Let -20*p**5 + 4735*p**4 - 12855*p**3 - 3510*p**2 = 0. What is p?
-1/4, 0, 3, 234
Solve b**2/2 - 492*b + 983/2 = 0.
1, 983
Suppose 6*p**5 - 1106*p**4 + 53296*p**3 - 213456*p**2 + 125280*p + 194400 = 0. Calculate p.
-2/3, 2, 3, 90
Let w**5/6 - 9403*w**4/6 + 4906263*w**3 - 5095845270*w**2 - 56650044132*w = 0. What is w?
-11, 0, 3138
Factor b**2/2 + 3225*b - 6451/2.
(b - 1)*(b + 6451)/2
Solve 35*r**5 + 17125*r**4 + 2122705*r**3 + 6839255*r**2 + 5914620*r + 1180980 = 0 for r.
-243, -2, -1, -2/7
Solve 645*a**3 + 2493*a**2 - 486*a - 552 = 0 for a.
-4, -2/5, 23/43
Solve -1004*f**4 + 4*f**3 + 12048*f**2 - 16112*f + 64 = 0.
-4, 1/251, 2
Determine b so that 785*b**3/6 - 937*b**2/3 + 302*b/3 + 4/3 = 0.
-2/157, 2/5, 2
Solve -m**5/3 + 241*m**4/3 + 28294*m**3 - 4009254*m**2 - 821404827*m + 825385707 = 0.
-171, 1, 291
Factor -y**3 + 369*y**2 - 1415*y - 16425.
-(y - 365)*(y - 9)*(y + 5)
Solve -3*b**5 + 51*b**4 + 384*b**3 - 4692*b**2 + 12768*b - 10560 = 0 for b.
-11, 2, 4, 20
Determine h, given that -h**5/4 + 85*h**4/4 - 2073*h**3/4 + 11115*h**2/4 - 4563*h/2 = 0.
0, 1, 6, 39
Factor 3*x**2/4 - 28185*x + 281775.
3*(x - 37570)*(x - 10)/4
Determine o, given that 5*o**5 + 260*o**4 - 11880*o**3 + 126560*o**2 - 372400*o + 329280 = 0.
-84, 2, 14
Determine j so that -5*j**4 - 9830*j**3 + 5*j**2 + 9830*j = 0.
-1966, -1, 0, 1
Let 8*q**5/5 - 66*q**4/5 - 8*q**3/5 + 214*q**2/5 - 36*q + 32/5 = 0. Calculate q.
-2, 1/4, 1, 8
Factor 4*l**3 + 56*l**2 - 540*l + 1008.
4*(l - 4)*(l - 3)*(l + 21)
Solve 3*p**2 - 7659*p = 0.
0, 2553
Factor 2*r**3 - 272*r**2 + 7538*r - 47268.
2*(r - 101)*(r - 26)*(r - 9)
Determine i so that 145*i**4 + 37980*i**3 - 119345*i**2 - 376200*i + 26500 = 0.
-265, -2, 2/29, 5
Let -s**4 - 5*s**3 + 15*s**2 + 5*s - 14 = 0. Calculate s.
-7, -1, 1, 2
Determine q so that 2*q**4 - 1290*q**3 + 96818*q**2 - 1984974*q + 1889444 = 0.
1, 41, 562
Factor c**3 + 59638*c**2 - 715764*c + 2147400.
(c - 6)**2*(c + 59650)
Find q such that 2*q**3/9 - 14938*q**2/9 + 9956*q/3 = 0.
0, 2, 7467
Find q, given that 175*q**4 + 1685*q**3 + 5910*q**2 + 9020*q + 5080 = 0.
-127/35, -2
Factor -3*z**2 + 419736*z - 14681525808.
-3*(z - 69956)**2
Let 9*g**3/2 - 441181*g**2 + 10813419840*g - 2402960400 = 0. What is g?
2/9, 49020
What is z in -4*z**5 - 496*z**4 - 17228*z**3 - 114608*z**2 - 201840*z = 0?
-58, -5, -3, 0
Determine b, given that -5*b**3 - 495*b**2 - 7900*b = 0.
-79, -20, 0
Factor -2*v**2 - 63958*v.
-2*v*(v + 31979)
Factor 250*g**2/3 + 4976*g/3 - 160.
2*(g + 20)*(125*g - 12)/3
Factor -2*q**2/5 - 1839932*q/5 - 423168720578/5.
-2*(q + 459983)**2/5
Factor -5*o**2 - 11480*o - 1923740.
-5*(o + 182)*(o + 2114)
What is n in -n**3/5 - 13*n**2 + 3156*n/5 + 3456 = 0?
-96, -5, 36
Solve 5*t**3 - 4515*t**2 + 288400*t - 558780 = 0 for t.
2, 67, 834
Factor -4*z**4 - 756*z**3 - 1496*z**2.
-4*z**2*(z + 2)*(z + 187)
Factor -2*y**2 + 166012*y - 3444998018.
-2*(y - 41503)**2
Find o such that 20*o**3 + 4776*o**2 - 10596*o + 1928 = 0.
-241, 1/5, 2
Factor -4*h**2/5 + 3644*h/5 + 10968/5.
-4*(h - 914)*(h + 3)/5
Solve -2*d**3/13 + 12980*d**2/13 + 64962*d/13 - 77940/13 = 0 for d.
-6, 1, 6495
Suppose 5*m**5 + 12825*m**4 + 38435*m**3 + 12795*m**2 - 38440*m - 25620 = 0. What is m?
-2562, -2, -1, 1
Solve -2*a**3 + 7944*a**2 - 7888392*a = 0 for a.
0, 1986
Let -3033*b**5 - 9105*b**4 - 6084*b**3 - 12*b**2 = 0. Calculate b.
-2, -1, -2/1011, 0
Determine c so that 2*c**3/9 - 3650*c**2/3 + 4942592*c/3 + 439263232/9 = 0.
-29, 2752
Factor 4*h**3 + 34132*h**2 + 34120*h - 68256.
4*(h - 1)*(h + 2)*(h + 8532)
Find x such that -7*x**2/8 - 65595*x/8 + 9371/4 = 0.
-9371, 2/7
Factor 2*h**2/5 + 668*h + 79008/5.
2*(h + 24)*(h + 1646)/5
Determine r so that -3*r**5 + 285*r**4 - 8094*r**3 + 66282*r**2 - 188895*r + 130425 = 0.
1, 5, 37, 47
Factor -m**3/5 - 163*m**2 + 4094*m/5 - 984.
-(m - 3)*(m - 2)*(m + 820)/5
Find p, given that 3*p**5 + 24*p**4 - 3*p**3 - 204*p**2 - 252*p = 0.
-7, -2, 0, 3
Factor 3*p**3/4 - 489*p**2 - 7968*p - 32064.
3*(p - 668)*(p + 8)**2/4
Solve 45*b**4/4 - 220*b**3 - 2335*b**2/4 - 925*b/2 - 110 = 0.
-1, -4/9, 22
Find l, given that 2*l**3/3 + 3182*l**2/3 = 0.
-1591, 0
Factor -x**3/3 - 150*x**2 - 14219*x + 1858592/3.
-(x - 32)*(x + 241)**2/3
What is y in 11*y**2 + 75709*y + 75698 = 0?
-75698/11, -1
What is k in -308*k**4/9 - 3074*k**3/9 - 5176*k**2/9 - 2362*k/9 + 16/3 = 0?
-8, -1, 3/154
Factor -n**3/9 + 64*n**2/9 - 28*n/3 - 3920.
-(n - 42)**2*(n + 20)/9
What is s in 2*s**3/9 - 272*s**2/9 + 30*s = 0?
0, 1, 135
Suppose n**5/5 + 563*n**4/5 - 1848*n**3 + 14216*n**2/5 + 37136*n + 46320 = 0. What is n?
-579, -2, 10
Factor -642*h**2 + 8993*h - 70.
-(h - 14)*(642*h - 5)
Let -h**2/3 + 2849*h/3 = 0. What is h?
0, 2849
Factor o**3/3 + 1936*o**2/3 + 5801*o/3 + 3866/3.
(o + 1)*(o