 0, 1, 31
Factor 5*u**3 - 72940*u**2 + 265866240*u + 1064632320.
5*(u - 7296)**2*(u + 4)
Factor -c**4 + 165*c**3 + 3429*c**2 - 24921*c + 39528.
-(c - 183)*(c - 3)**2*(c + 24)
Factor -7*j**2/5 + 270989*j/5 + 77426/5.
-(j - 38713)*(7*j + 2)/5
Factor l**2/4 + 7193*l/4 - 148297/2.
(l - 41)*(l + 7234)/4
Determine k, given that 3*k**2/4 + 92868*k - 1114443/4 = 0.
-123827, 3
Determine a so that -3*a**2/7 - 145098*a/7 - 1754452467/7 = 0.
-24183
Determine k, given that -3*k**5 + 162*k**4 - 303*k**3 - 468*k**2 = 0.
-1, 0, 3, 52
Factor -5*q**3 + 225*q**2 + 6765*q + 40535.
-5*(q - 67)*(q + 11)**2
Factor a**2/2 + 259*a + 516.
(a + 2)*(a + 516)/2
Let -2*r**5/15 + 8*r**4 + 634*r**3/15 + 344*r**2/5 + 104*r/3 = 0. Calculate r.
-2, -1, 0, 65
Solve 21*t**2 + 60465*t + 17274 = 0.
-2879, -2/7
Suppose -2*l**4/7 - 472*l**3 + 100862*l**2/7 - 97556*l/7 = 0. Calculate l.
-1682, 0, 1, 29
Factor 3*y**2 - 121416*y + 1228487088.
3*(y - 20236)**2
Factor 3*f**3 - 5487*f**2 + 2455992*f + 48665232.
3*(f - 924)**2*(f + 19)
Let p**4 + 59*p**3 + 1068*p**2 + 3916*p - 36784 = 0. Calculate p.
-22, -19, 4
Determine v, given that 5*v**3 + 13620*v**2 + 350865*v + 337250 = 0.
-2698, -25, -1
Factor -4*h**2 + 200168*h - 2504201764.
-4*(h - 25021)**2
Find l, given that -l**3/3 - 2012*l**2/3 + 2015*l/3 + 1342 = 0.
-2013, -1, 2
Factor 6*d**2/7 - 116616*d/7.
6*d*(d - 19436)/7
Let y**3 - 155*y**2 - 1297*y - 1141 = 0. Calculate y.
-7, -1, 163
Solve 3*g**5 + 26*g**4/3 - 46*g**3 - 52*g**2 + 289*g/3 - 10 = 0.
-5, -2, 1/9, 1, 3
Factor 2*d**2/17 - 108612*d/17 + 1474570818/17.
2*(d - 27153)**2/17
Find s, given that s**5/4 - 599*s**4/4 + 597*s**3/2 = 0.
0, 2, 597
Find f such that -f**3/2 + 56*f**2 - 641*f/2 + 265 = 0.
1, 5, 106
Suppose -22*l**5/5 + 189*l**4/5 + 1349*l**3/5 - 1041*l**2/5 - 1399*l/5 + 156 = 0. Calculate l.
-5, -1, 1/2, 12/11, 13
Factor w**2 + 199*w + 4048.
(w + 23)*(w + 176)
Let v**3/6 + 137*v**2/3 + 272*v/3 = 0. What is v?
-272, -2, 0
Factor 5*n**4 - 4955*n**3 + 44265*n**2 - 73525*n - 122750.
5*(n - 982)*(n - 5)**2*(n + 1)
Solve 5*w**2 - 269260*w + 269255 = 0.
1, 53851
Determine a, given that a**2/5 + 27106*a/5 - 27107/5 = 0.
-27107, 1
Factor -3*v**2/4 + 750*v - 581493/4.
-3*(v - 737)*(v - 263)/4
Solve 2*v**3/19 - 82246*v**2/19 - 2633408*v/19 - 21071360/19 = 0 for v.
-16, 41155
Factor 2*g**2/11 + 17528*g/11.
2*g*(g + 8764)/11
Determine g so that -2*g**2/3 - 28*g/3 + 1360/3 = 0.
-34, 20
Let d**2 + 41*d - 23760 = 0. What is d?
-176, 135
Let 5*z**5 + 1555*z**4 + 92750*z**3 + 255200*z**2 - 541280*z - 705280 = 0. Calculate z.
-232, -76, -4, -1, 2
Let y**5/3 - 10*y**4/3 - 7*y**3/3 + 64*y**2/3 + 20*y = 0. What is y?
-2, -1, 0, 3, 10
Factor -5*x**2 - 16615*x - 313880.
-5*(x + 19)*(x + 3304)
Suppose -4*b**3/7 + 4420*b**2/7 - 87200*b/7 + 62000 = 0. Calculate b.
10, 1085
Let -32*z**4 + 247420*z**3 + 525905*z**2 + 54140*z - 15468 = 0. What is z?
-2, -1/4, 1/8, 7734
Factor p**5/2 - 5*p**4/2 - 3*p**3/2 + 45*p**2/2 - 27*p.
p*(p - 3)**2*(p - 2)*(p + 3)/2
Determine a so that -3*a**4/7 - 1755*a**3/7 - 250434*a**2/7 + 1829280*a/7 - 1577088/7 = 0.
-296, 1, 6
Factor o**4/3 - 175*o**3 - 1059*o**2 - 4775*o/3 - 708.
(o - 531)*(o + 1)**2*(o + 4)/3
Factor -4*z**3 - 652*z**2 - 19584*z - 164592.
-4*(z + 18)**2*(z + 127)
Factor 50*h**3 + 507840*h**2 + 2436768*h + 2923776.
2*(h + 10152)*(5*h + 12)**2
Suppose -2*u**5 + 3630*u**4 - 1648918*u**3 + 1630778*u**2 + 6595704*u - 6581192 = 0. Calculate u.
-2, 1, 2, 907
Solve n**5/9 + 101*n**4/9 - 70*n**3/3 - 410*n**2/9 + 209*n/9 + 103/3 = 0 for n.
-103, -1, 1, 3
Factor -3*v**2/8 + 20862*v - 290148696.
-3*(v - 27816)**2/8
Find o such that 5*o**3/4 + 409535*o**2/4 - 307160*o + 204775 = 0.
-81910, 1, 2
Solve 2*r**3/3 + 1076*r**2/15 - 2046*r/5 - 1356/5 = 0 for r.
-113, -3/5, 6
Factor -25*r**2 - 115515*r + 46210.
-5*(r + 4621)*(5*r - 2)
Solve -135*w**3/4 - 6818*w**2 - 1377539*w/4 - 10201/2 = 0.
-101, -2/135
Suppose -3*u**4 - 30*u**3 + 1041*u**2 - 5112*u + 7020 = 0. Calculate u.
-26, 3, 10
Factor -3*r**4 - 2034*r**3 - 408603*r**2 - 21641760*r - 339628800.
-3*(r + 35)**2*(r + 304)**2
Let 3*l**2/5 + 642678*l/5 + 34419584307/5 = 0. What is l?
-107113
Factor 3*f**2/4 - 483*f/4 + 1443.
3*(f - 148)*(f - 13)/4
Factor 2*d**3 - 1798744*d**2 + 404434997192*d.
2*d*(d - 449686)**2
Solve -26*a**5 + 796*a**4/5 + 876*a**3/5 - 976*a**2/5 - 746*a/5 + 36 = 0.
-1, 1/5, 1, 90/13
Suppose w**5 - 47*w**4 - 74*w**3 + 1272*w**2 - 1152*w = 0. What is w?
-6, 0, 1, 4, 48
What is x in -4*x**3 - 28268*x**2 + 566560*x - 2834800 = 0?
-7087, 10
Let -a**2 + 131614*a - 131613 = 0. What is a?
1, 131613
Suppose 81*x**5/2 + 2385*x**4/2 + 10649*x**3 + 31774*x**2 + 12596*x + 1344 = 0. What is x?
-16, -7, -6, -2/9
Determine f so that -5*f**2 + 975*f - 33750 = 0.
45, 150
Factor -o**2/3 + 23458*o - 412708323.
-(o - 35187)**2/3
Factor t**2 - 539*t - 540.
(t - 540)*(t + 1)
Determine q, given that 55*q**5 - 1990*q**4 + 2725*q**3 + 49070*q**2 - 102500*q + 17000 = 0.
-5, 2/11, 2, 5, 34
Factor -2*i**2/9 + 1396*i/3 + 71774/9.
-2*(i - 2111)*(i + 17)/9
Find n, given that -4*n**2 - 956*n - 22152 = 0.
-213, -26
Determine f so that 5*f**4 - 750*f**3 - 805*f**2 + 7590*f - 6040 = 0.
-4, 1, 2, 151
Solve 43*p**4/5 - 16338*p**3/5 + 173261*p**2/5 + 198498*p/5 + 8856/5 = 0 for p.
-1, -2/43, 12, 369
Factor s**2 + 211292*s + 11161077316.
(s + 105646)**2
Find g such that -2*g**4 + 70*g**3 + 10106*g**2 + 186434*g = 0.
-31, 0, 97
Let -3*a**2 + 5641362*a - 2652080434587 = 0. Calculate a.
940227
Suppose 5*y**2/4 - 2778789*y/2 - 555758 = 0. Calculate y.
-2/5, 1111516
Solve -5*m**5/3 - 25*m**4 - 215*m**3/3 + 205*m**2 + 940*m/3 - 420 = 0 for m.
-9, -7, -2, 1, 2
Factor 3*o**2 - 15279*o + 15276.
3*(o - 5092)*(o - 1)
Find b, given that -21*b**4/5 - 31*b**3/10 + 1599*b**2/5 - 6731*b/10 + 189 = 0.
-10, 1/3, 27/14, 7
Solve i**2 + 133375*i/3 - 133378/3 = 0 for i.
-133378/3, 1
What is k in 50*k**5/19 + 140*k**4/19 - 24062*k**3/19 - 1016*k**2 - 3864*k/19 = 0?
-23, -2/5, 0, 21
Find x such that 27*x**5/5 + 42*x**4/5 - 627*x**3/5 - 42*x**2/5 + 120*x = 0.
-50/9, -1, 0, 1, 4
Find y such that -y**4/3 + 473*y**3/3 + 5589*y**2 - 34949*y/3 + 17710/3 = 0.
-35, 1, 506
What is k in -3224*k**3/7 + 83822*k**2/7 - 544804*k/7 - 338/7 = 0?
-1/1612, 13
Factor -4*h**2 + 464*h + 269568.
-4*(h - 324)*(h + 208)
Factor g**2 + 270*g + 6776.
(g + 28)*(g + 242)
What is f in -12*f**4 - 2018*f**3 + 12084*f**2 - 16722*f - 3132 = 0?
-174, -1/6, 3
Find c, given that 3*c**2/8 - 3153*c - 25227/8 = 0.
-1, 8409
Find m, given that 28*m**5 + 5196*m**4 + 12440*m**3 - 134688*m**2 = 0.
-183, -46/7, 0, 4
Solve 3*s**5 - 945*s**4 - 2889*s**3 + 8601*s**2 - 4770*s = 0 for s.
-5, 0, 1, 318
Suppose 4*c**2 - 3816384*c + 910299177216 = 0. Calculate c.
477048
Factor 650*x**5/3 + 868*x**4 + 3916*x**3/3 + 2624*x**2/3 + 222*x + 4/3.
2*(x + 1)**4*(325*x + 2)/3
Factor 2*h**3/5 - 324*h**2/5 - 252168*h/5 - 23865584/5.
2*(h - 478)*(h + 158)**2/5
Solve 2*w**2/5 - 297828*w/5 + 11087689698/5 = 0 for w.
74457
Determine z so that 2*z**2/5 - 106428*z/5 + 106426/5 = 0.
1, 53213
Let -4*p**3/5 - 68*p**2/5 + 196*p/5 + 3332/5 = 0. What is p?
-17, -7, 7
Let 2*d**3/5 + 1108*d**2/5 + 135416*d/5 - 55056 = 0. What is d?
-370, -186, 2
Let -8*g**2 - 5522*g - 6890 = 0. What is g?
-689, -5/4
Determine j so that j**3/2 + 16*j**2 - 141*j/2 + 54 = 0.
-36, 1, 3
Determine d, given that 2*d**3 + 6634*d**2 + 5704262*d + 333538254 = 0.
-1627, -63
Factor -5*i**3 - 1155*i**2 + 7110*i.
-5*i*(i - 6)*(i + 237)
Factor -n**3/4 - 1039*n**2/4 + 19009*n/4 - 17969/4.
-(n - 17)*(n - 1)*(n + 1057)/4
Find c, given that -c**3 + 4795*c**2/3 - 25828*c - 53788/3 = 0.
-2/3, 17, 1582
Solve 3*q**5/5 + 4707*q**4 + 46146219*q**3/5 - 46405191*q**2/5 - 461886174*q/5 - 369358296/5 = 0.
-3923, -2, -1, 4
Find k, given that -k**3/5 - 15102*k**2/5 - 3019*k + 90606/5 = 0.
-15101, -3, 2
Suppose -3*z**3 - 2580*z**2 = 0. Calculate z.
-860, 0
Factor -z**2/4 - 29*z - 760.
-(z + 40)*(z + 76)/4
Factor -2*l**3/13 + 2160*l**2/13 + 17408*l/13.
-2*l*(l - 1088)*(l + 8)/13
What is m in 20*m**3 + 69550*m**2 + 242554125*m/4 + 1205825625/4 = 0?
-6945/4, -5
Suppose 22*o**2 - 1866*o/5 - 68/5 = 0. Calculate o.
-2/55, 17
Suppose 2*v**3/7 - 158*v**2/7 + 608*v/7 - 600/7 = 0. What is v?
2, 75
Determine p, given that -p**4/3 - 1374*p**3 - 12353*p**2/3 + 5492*p = 0.
-4119, -4, 0, 1
Determine d