3 + 116*n**2 + 80*n = 0.
-5, -4, -1, 0
Solve 2*x**5/5 + 598*x**4/5 + 8644*x**3/5 + 35312*x**2/5 + 27264*x/5 = 0.
-284, -8, -6, -1, 0
Factor -2*u**2/17 - 18796*u/17 - 15456.
-2*(u + 14)*(u + 9384)/17
Find v such that -2*v**2/7 - 5086*v/7 - 234624/7 = 0.
-2496, -47
Suppose -3*x**4/2 + 549*x**3/2 - 11427*x**2 + 32382*x - 21228 = 0. What is x?
1, 2, 58, 122
What is z in -108*z**5 + 432*z**4 + 303552*z**3 - 9395968*z**2 + 80494592*z = 0?
-64, 0, 68/3
Determine i, given that -i**4/4 - 289*i**3/2 + 1159*i**2/4 - 145*i = 0.
-580, 0, 1
Solve -h**5 - 28633*h**4 + 85905*h**3 - 85907*h**2 + 28636*h = 0 for h.
-28636, 0, 1
Factor -b**4 + 2999*b**3 - 2990*b**2 - 23996*b + 35976.
-(b - 2998)*(b - 2)**2*(b + 3)
Let 14*y**3 - 1925060*y**2 + 66176275072*y - 18907350016 = 0. What is y?
2/7, 68752
Solve -2*j**5/15 - 42*j**4/5 + 674*j**3/15 - 142*j**2/5 - 408*j/5 = 0.
-68, -1, 0, 3
Factor -l**2/5 - 8704*l/5 + 8709.
-(l - 5)*(l + 8709)/5
Solve -p**5/4 + 13*p**4/4 - 39*p**3/4 + 27*p**2/4 = 0 for p.
0, 1, 3, 9
Let 164*q**3 - 566*q**2 - 28*q = 0. What is q?
-2/41, 0, 7/2
Factor -b**4 - 754020*b**3 - 142135786078*b**2 + 284273834220*b - 142137294121.
-(b - 1)**2*(b + 377011)**2
Solve -2*k**3/19 + 1788*k**2/19 + 3582*k/19 + 1792/19 = 0 for k.
-1, 896
Determine h so that -1024*h**2/5 + 508*h/5 + 2/5 = 0.
-1/256, 1/2
Let -2*d**4 + 126*d**3 - 106*d**2 - 1134*d + 1116 = 0. Calculate d.
-3, 1, 3, 62
Suppose -2*h**5 + 98*h**4 - 1070*h**3 - 1570*h**2 + 4312*h + 4712 = 0. Calculate h.
-2, -1, 2, 19, 31
Factor 2*t**2 + 40*t - 952.
2*(t - 14)*(t + 34)
Find i, given that -i**2/4 - 519*i/4 + 1593 = 0.
-531, 12
Suppose k**5 + 13*k**4 - 253*k**3 + 1103*k**2 - 1764*k + 900 = 0. What is k?
-25, 1, 2, 3, 6
Factor t**3 - 33813*t**2 + 338055*t - 845075.
(t - 33803)*(t - 5)**2
Factor -n**2/2 + 241*n/2 + 4986.
-(n - 277)*(n + 36)/2
Let -4*q**3 - 252*q**2 - 3356*q + 3612 = 0. Calculate q.
-43, -21, 1
Determine s so that 904*s**5 + 3610*s**4 + 2688*s**3 - 3634*s**2 - 3592*s + 24 = 0.
-2, -1, 3/452, 1
Factor -j**4/4 - 727*j**3/4 + 1457*j**2/4 - 729*j/4.
-j*(j - 1)**2*(j + 729)/4
Factor -m**4 - 19316*m**3 - 93083604*m**2 + 1867470880*m - 9347022400.
-(m - 10)**2*(m + 9668)**2
Factor 3*c**2 - 505347*c + 505344.
3*(c - 168448)*(c - 1)
What is c in -289*c**4/3 - 1712*c**3/3 - 1112*c**2 - 2048*c/3 + 176/3 = 0?
-2, 22/289
Solve 28*w**3 + 1952*w**2 + 1372*w - 552 = 0 for w.
-69, -1, 2/7
What is m in m**5/3 + 28*m**4/3 + 9*m**3 = 0?
-27, -1, 0
Let j**2/5 - 71*j/5 + 138/5 = 0. What is j?
2, 69
Factor x**2/4 - 2553*x/4 - 5122.
(x - 2561)*(x + 8)/4
Suppose -255*z**4 - 385*z**3 + 10090*z**2 - 23760*z + 11520 = 0. What is z?
-8, 2/3, 48/17, 3
Let k**5/4 + 9*k**4/2 - 1203*k**3/4 - 628*k**2 + 924*k = 0. Calculate k.
-44, -3, 0, 1, 28
Let -5*f**4 - 185*f**3 + 3820*f**2 - 21540*f + 38160 = 0. What is f?
-53, 4, 6
Suppose 675*m**3 + 810*m**2 + 180*m + 56/5 = 0. What is m?
-14/15, -2/15
Factor 9*r**2/8 + 3817*r - 3393/8.
(r + 3393)*(9*r - 1)/8
Let -k**3/2 - 7*k**2/2 + 182*k + 1760 = 0. Calculate k.
-16, -11, 20
Factor -779395*f**2/4 + 779405*f/4 - 5/2.
-5*(f - 1)*(155879*f - 2)/4
Find o such that 3*o**2 + 6720*o - 6723 = 0.
-2241, 1
Find f such that 2*f**4/3 + 454*f**3/3 + 12028*f**2/3 + 40976*f/3 = 0.
-197, -26, -4, 0
Determine y, given that 2*y**5/19 - 1226*y**4/19 - 20008*y**3/19 - 75608*y**2/19 + 80000*y/19 + 322048/19 = 0.
-8, -2, 2, 629
Factor 4*f**3 - 49296*f**2 + 151831668*f + 303860552.
4*(f - 6163)**2*(f + 2)
Let 5*s**5 + 505*s**4 - 540*s**3 - 3060*s**2 = 0. Calculate s.
-102, -2, 0, 3
Factor -2*s**2/15 + 503032*s/15 - 31630149128/15.
-2*(s - 125758)**2/15
Factor 3*a**2 + 22182*a + 66519.
3*(a + 3)*(a + 7391)
Determine h so that -2*h**5 - 1908*h**4 - 464498*h**3 - 4502880*h**2 - 11139200*h = 0.
-472, -5, 0
What is c in 4*c**2 + 452*c + 3360 = 0?
-105, -8
Let 10*i**5 + 1156*i**4 + 686*i**3 - 460*i**2 = 0. Calculate i.
-115, -1, 0, 2/5
Suppose -2*j**2/5 - 2168*j/5 + 434 = 0. Calculate j.
-1085, 1
Solve -2*y**5/3 - 82*y**4 + 2594*y**3/3 - 8698*y**2/3 + 3536*y - 4256/3 = 0 for y.
-133, 1, 4
Determine c so that 513*c**3/2 + 31980*c**2 + 21578*c + 248 = 0.
-124, -2/3, -2/171
Factor -f**2/3 - 5375*f/3 - 5372.
-(f + 3)*(f + 5372)/3
Factor 838*w**4 + 5034*w**3 + 10092*w**2 + 6776*w + 48.
2*(w + 2)**3*(419*w + 3)
Suppose -3*s**4 - 85*s**3/2 + 38*s**2 + 15*s/2 = 0. What is s?
-15, -1/6, 0, 1
What is z in -3*z**3/5 - 52749*z**2/5 - 52746*z/5 = 0?
-17582, -1, 0
Determine l, given that -2*l**3 + 32*l**2 + 968*l + 1792 = 0.
-14, -2, 32
Factor 75*a**2/7 + 31578*a/7 + 1263/7.
3*(a + 421)*(25*a + 1)/7
What is t in -5*t**3 + 120*t**2 + 2540*t + 4560 = 0?
-12, -2, 38
Factor r**3 + 4344*r**2 - 95931*r + 528286.
(r - 11)**2*(r + 4366)
Determine d so that 4*d**3 - 136552*d**2 + 1165403044*d = 0.
0, 17069
Factor 3*h**4/8 + 3786*h**3 + 38238597*h**2/4 + 19107942*h + 76416627/8.
3*(h + 1)**2*(h + 5047)**2/8
Solve 5*y**2 + 28805*y = 0 for y.
-5761, 0
What is i in -3*i**2 - 297*i + 300 = 0?
-100, 1
Find c such that 18*c**4 + 1572*c**3 - 53590*c**2 + 420000*c - 368000 = 0.
-115, 1, 40/3
Solve -3*s**5/4 + 939*s**4 + 9447*s**3 + 22740*s**2 - 30192*s - 121152 = 0.
-4, 2, 1262
Factor 5*f**3 - 13490*f**2 - 326525*f - 313030.
5*(f - 2722)*(f + 1)*(f + 23)
Determine g so that -4*g**3/9 - 5752*g**2 + 69072*g - 207264 = 0.
-12954, 6
Solve -5*u**3 + 1000*u**2 - 54340*u + 895280 = 0 for u.
38, 124
Factor -85*t**3/4 - 2229*t**2/2 - 8661*t/4 - 1072.
-(t + 1)**2*(85*t + 4288)/4
Solve -2*t**3 - 216062*t**2 - 5836104624*t - 40842146016 = 0.
-54012, -7
Factor r**3/3 + 8865*r**2 + 8864*r - 53188/3.
(r - 1)*(r + 2)*(r + 26594)/3
Determine b so that 2*b**3/9 + 14390*b**2/9 + 25775750*b/9 - 129960250/3 = 0.
-3605, 15
What is h in -2*h**3/3 - 5548*h**2 + 2*h/3 + 5548 = 0?
-8322, -1, 1
Find m, given that -2*m**4/3 + 99272*m**3/3 - 410588990*m**2 - 821310348*m = 0.
-2, 0, 24819
Factor 3*w**3 - 216*w**2 + 1107*w + 5346.
3*(w - 66)*(w - 9)*(w + 3)
Factor v**5 - 2540*v**4 + 125125*v**3 - 1556250*v**2.
v**2*(v - 2490)*(v - 25)**2
Factor 32*f**3/5 - 66096*f**2/5 - 33054*f/5 - 4132/5.
2*(f - 2066)*(4*f + 1)**2/5
Factor -20*v**3 + 2648*v**2 - 13756*v + 5080.
-4*(v - 127)*(v - 5)*(5*v - 2)
Factor -3*y**4 + 125034*y**3 - 375084*y**2 + 375078*y - 125025.
-3*(y - 41675)*(y - 1)**3
Find j such that 3*j**5 - 21*j**4 - 498*j**3 - 1644*j**2 - 1512*j = 0.
-7, -2, 0, 18
What is s in s**4/9 - 4370*s**3/9 + 4765477*s**2/9 + 2123820*s + 2125764 = 0?
-2, 2187
Determine r so that -2*r**5/15 - 2*r**4/3 + 16*r**3/5 + 184*r**2/15 - 256*r/15 - 128/5 = 0.
-6, -4, -1, 2, 4
Suppose -4*g**2 - 7796*g + 70488 = 0. What is g?
-1958, 9
Suppose -5*z**4 - 1335*z**3 - 106515*z**2 - 2132325*z + 7392060 = 0. Calculate z.
-117, -36, 3
Find v such that v**3/4 - 592*v**2 - 2371*v - 2372 = 0.
-2, 2372
Factor 3*l**3/2 - 621*l**2 + 22455*l/2 + 11850.
3*(l - 395)*(l - 20)*(l + 1)/2
Find w, given that 4*w**2/9 - 154328*w/9 = 0.
0, 38582
Solve 330*g**3 + 398*g**2 + 356*g/5 + 16/5 = 0.
-1, -2/15, -4/55
Factor y**3/8 - 891*y**2/8 + 23598*y + 545832.
(y - 456)**2*(y + 21)/8
Let -2*u**3 + 258*u**2 + 3632*u + 8520 = 0. Calculate u.
-10, -3, 142
Suppose -2*g**4/5 + 52*g**3/5 + 248*g**2/5 - 208*g/5 - 192 = 0. What is g?
-4, -2, 2, 30
Factor -2*r**2/13 - 8880*r/13 + 295218/13.
-2*(r - 33)*(r + 4473)/13
Determine u, given that u**2/4 + 193*u + 5355/4 = 0.
-765, -7
Let 256*i**3 - 235328*i**2 + 58820*i - 3676 = 0. Calculate i.
1/8, 919
Determine o so that 2*o**2/13 - 21552*o/13 = 0.
0, 10776
Factor -2*d**2 + 438*d - 2556.
-2*(d - 213)*(d - 6)
Suppose 12*c**5/5 - 12867*c**4/5 - 9672*c**3/5 + 16086*c**2/5 + 1932*c - 3219/5 = 0. Calculate c.
-1, 1/4, 1, 1073
Let -1470*k**4 + 10288*k**3/7 + 10292*k**2/7 - 10288*k/7 - 2/7 = 0. What is k?
-1, -1/5145, 1
What is i in -3*i**5 - 186*i**4 + 378*i**3 + 12636*i**2 + 46737*i + 51030 = 0?
-63, -3, 10
Factor -3*b**3/4 + 126*b**2 - 3456*b - 165888.
-3*(b - 96)**2*(b + 24)/4
Determine x, given that x**4/2 - 7167*x**3/2 - 64569*x**2/2 - 107665*x/2 + 89700 = 0.
-5, 1, 7176
Find g, given that -4*g**3/3 + 292*g/3 - 96 = 0.
-9, 1, 8
Let 26*j**4/3 - 27902*j**3/3 + 32164*j**2/3 - 4288*j/3 = 0. Calculate j.
0, 2/13, 1, 1072
Suppose -v**3/5 - 33336*v**2/5 - 277855557*v/5 - 555577778/5 = 0. What is v?
-16667, -2
What is r in 3*r**4 - 36*r**3 - 630*r**2 + 1356*r - 693 = 0?
-11, 1, 21
