14*g**5 - 3008*g**4 + 390030*g**3/7 - 295416*g**2 + 1698840*g/7 = 0.
0, 1, 66/7, 195
Factor -5*s**2 - 19585*s + 117690.
-5*(s - 6)*(s + 3923)
What is t in -2*t**5 - 528*t**4 - 33228*t**3 + 213848*t**2 - 325890*t + 145800 = 0?
-135, 1, 4
Factor 2*g**2/19 - 135286*g/19.
2*g*(g - 67643)/19
Let y**5/2 + 3997*y**4/2 + 2027745*y**3 + 61456257*y**2 + 1003626045*y/2 + 884765025/2 = 0. Calculate y.
-1983, -15, -1
Suppose -3*a**5/4 - 477*a**4/4 - 453*a**3/4 + 3321*a**2/4 + 114*a - 711 = 0. What is a?
-158, -3, -1, 1, 2
Suppose 2*w**3/11 + 74724*w**2/11 = 0. What is w?
-37362, 0
Suppose c**4 - 56923*c**3 + 810142360*c**2 - 2429914800*c = 0. What is c?
0, 3, 28460
What is x in 2*x**3/7 + 66*x**2/7 + 414*x/7 + 50 = 0?
-25, -7, -1
Factor 4*z**2/7 - 2740*z/7 - 13800/7.
4*(z - 690)*(z + 5)/7
Suppose 4*x**4 + 88*x**3 + 68*x**2 - 2080*x - 4800 = 0. What is x?
-20, -4, -3, 5
Factor 9*o**2 + 12471*o - 4158.
3*(o + 1386)*(3*o - 1)
Factor -2*g**2/7 + 90*g/7 + 82400.
-2*(g - 560)*(g + 515)/7
What is s in s**2/2 + 89970*s - 179942 = 0?
-179942, 2
Find h such that 75*h**4 + 4985*h**3 + 73515*h**2 - 311325*h + 232750 = 0.
-35, 1, 38/15
Let c**4/3 - 86*c**3/3 - 2227*c**2/3 - 2140*c/3 = 0. Calculate c.
-20, -1, 0, 107
Determine a so that a**2 + 386250*a + 37297265625 = 0.
-193125
Factor p**2/4 - 191125*p/4 + 47781.
(p - 191124)*(p - 1)/4
Let u**2/4 - 653*u/4 + 2261/2 = 0. Calculate u.
7, 646
Factor -2*t**3 + 2542*t**2 + 5092*t.
-2*t*(t - 1273)*(t + 2)
Let -q**3/2 + 7*q**2/2 + 473*q - 476 = 0. Calculate q.
-28, 1, 34
Factor 5*y**3 - 18290*y**2 + 16689565*y + 67051220.
5*(y - 1831)**2*(y + 4)
Determine a, given that 10750*a**3/3 + 301004*a**2/3 + 2107112*a/3 + 784/3 = 0.
-14, -2/5375
Factor 4*a**5/7 + 58*a**4/7 + 4*a**3.
2*a**3*(a + 14)*(2*a + 1)/7
Factor -g**4 - 21679*g**3 + 21680*g**2.
-g**2*(g - 1)*(g + 21680)
Let -n**3/2 + 67839*n**2/2 + 135684*n + 135686 = 0. Calculate n.
-2, 67843
Let -a**4/3 - 44*a**3/3 - 121*a**2 + 2480*a/3 + 2800/3 = 0. Calculate a.
-28, -20, -1, 5
Find s such that -2*s**4/5 - 4766*s**3/5 - 756522*s**2 - 199467090*s + 401967900 = 0.
-795, 2
Factor 5*r**3 + 3675*r**2 + 728640*r + 19205120.
5*(r + 31)*(r + 352)**2
Find q such that q**5/3 + 24*q**4 + 22*q**3 - 352*q**2/3 + 71*q = 0.
-71, -3, 0, 1
Factor -3*k**4 + 7692*k**3 - 4782258*k**2 - 190138548*k - 1833086883.
-3*(k - 1301)**2*(k + 19)**2
Factor 25*d**2/4 + 2105*d/4 - 22995/2.
5*(d - 18)*(5*d + 511)/4
Determine n, given that -3*n**3 - 123*n**2 - 732*n + 1980 = 0.
-33, -10, 2
Find i, given that -5*i**5 + 303*i**4 - 4823*i**3 + 7017*i**2 - 752*i - 1740 = 0.
-2/5, 1, 29, 30
Determine p so that 2*p**2 - 2596*p + 90864 = 0.
36, 1262
Factor -3*w**3/4 + 432*w.
-3*w*(w - 24)*(w + 24)/4
Solve -3*f**2/8 - 123891*f/8 + 61947/4 = 0 for f.
-41298, 1
Factor 2*c**3/5 - 1334*c**2/5 + 210672*c/5 + 3976776/5.
2*(c - 342)**2*(c + 17)/5
Factor 4*x**3/5 + 392*x**2/5 + 772*x/5 + 384/5.
4*(x + 1)**2*(x + 96)/5
Let 20*z**4 - 41928*z**3 - 319552*z**2 - 538752*z + 269312 = 0. What is z?
-4, 2/5, 2104
Let 2*z**4/5 + 866*z**3/5 - 70282*z**2/5 + 69414*z/5 = 0. What is z?
-503, 0, 1, 69
Let -6*u**4/5 + 1818*u**3/5 - 19428*u**2/5 + 45648*u/5 - 28032/5 = 0. What is u?
1, 2, 8, 292
Let -s**4/4 + 1441*s**3/4 + 2889*s**2/4 - 4329*s/4 = 0. What is s?
-3, 0, 1, 1443
Factor -j**4/8 + 21*j**3/4 - 455*j**2/8 + 507*j/4.
-j*(j - 26)*(j - 13)*(j - 3)/8
Factor 48*s**3 - 50568*s**2 + 25275*s - 3159.
3*(s - 1053)*(4*s - 1)**2
Factor r**3/4 - 6079*r**2/4 - 3041*r/2 + 3040.
(r - 6080)*(r - 1)*(r + 2)/4
Find k such that 3*k**2 + 435252*k + 15787025292 = 0.
-72542
Solve 2*b**4 + 58*b**3 + 354*b**2 - 890*b + 476 = 0.
-17, -14, 1
Solve -18*c**3 + 561*c**2 - 4413*c + 720 = 0.
1/6, 15, 16
Determine k so that -5*k**3 - 1125*k**2 - 74235*k - 1173115 = 0.
-101, -23
Factor 4*j**3 + 504*j**2 + 2916*j + 4320.
4*(j + 3)**2*(j + 120)
Determine s, given that -s**2/2 - 53958*s - 1455732882 = 0.
-53958
Factor -b**4 + 80*b**3 - 234*b**2 + 232*b - 77.
-(b - 77)*(b - 1)**3
What is j in 57*j**5 - 906*j**4 - 6936*j**3 - 15312*j**2 - 11568*j - 1056 = 0?
-2, -2/19, 22
Solve o**3/7 + 4*o**2/7 - 340*o/7 - 400 = 0 for o.
-14, -10, 20
Determine n, given that -14884*n**3 + 393572*n**2 - 1811392*n + 2314704 = 0.
166/61, 21
Determine m, given that -2*m**4/13 + 1078*m**3/13 - 22830*m**2/13 + 42434*m/13 - 20680/13 = 0.
1, 20, 517
Determine r so that -r**4/5 + 11*r**3 + 73258*r**2/5 + 73088*r/5 - 29280 = 0.
-244, -2, 1, 300
Factor -2*b**2/5 - 103088*b/5.
-2*b*(b + 51544)/5
Let -3*u**2/4 + 86145*u/4 = 0. What is u?
0, 28715
Suppose -d**5 - 16*d**4 - 41*d**3 - 26*d**2 = 0. What is d?
-13, -2, -1, 0
Factor l**3/4 - 175*l**2/4 - 366*l.
l*(l - 183)*(l + 8)/4
Solve -2*w**3 + 172444*w**2 + 1724590*w + 4311600 = 0.
-5, 86232
Solve -7*m**3/6 - 1165*m**2/2 - 133744*m/3 - 12690 = 0.
-405, -94, -2/7
Let 3*v**5 + 145*v**4 - 98*v**3 = 0. Calculate v.
-49, 0, 2/3
Factor -t**2/2 + 606*t - 6035/2.
-(t - 1207)*(t - 5)/2
Factor 6*x**3 - 1460*x**2 - 2454*x + 980.
2*(x - 245)*(x + 2)*(3*x - 1)
Factor -z**4/4 + 2225*z**3 - 4905825*z**2 - 199809000*z.
-z*(z - 4470)**2*(z + 40)/4
Factor 2*s**3 + 90*s**2 - 8*s - 360.
2*(s - 2)*(s + 2)*(s + 45)
Factor -2*i**2 - 108*i + 73040.
-2*(i - 166)*(i + 220)
Factor 5*w**4 - 180160*w**3 + 1623061430*w**2 - 3245582400*w + 1622701125.
5*(w - 18015)**2*(w - 1)**2
Factor -2*h**3/13 + 2754*h**2/13 - 27390*h/13 + 68350/13.
-2*(h - 1367)*(h - 5)**2/13
Factor 2*l**3 - 728*l**2/5 - 886*l/5 - 148/5.
2*(l - 74)*(l + 1)*(5*l + 1)/5
Factor -2*j**4/5 - 32432*j**3/5 - 131770892*j**2/5 - 2364000912*j/5 - 10626195762/5.
-2*(j + 9)**2*(j + 8099)**2/5
Factor -2*g**2/9 + 70514*g/9 + 70520/3.
-2*(g - 35260)*(g + 3)/9
Factor -a**3 - 6253*a**2 - 25000*a - 24996.
-(a + 2)**2*(a + 6249)
Factor 207*j**2 + 681*j/2 - 273/2.
3*(3*j - 1)*(46*j + 91)/2
Factor 4*u**2 - 41680*u + 108576400.
4*(u - 5210)**2
Factor -2*j**3/17 + 26812*j**2/17 - 90261248*j/17 + 2683760640/17.
-2*(j - 6688)**2*(j - 30)/17
Factor -10452289*h**4/3 + 976366*h**3/3 - 22801*h**2/3.
-h**2*(3233*h - 151)**2/3
Factor -d**3/6 + 69905*d**2/3 + 279623*d/6 + 23302.
-(d - 139812)*(d + 1)**2/6
Factor -12*b**2 + 292*b + 6440.
-4*(b + 14)*(3*b - 115)
What is f in 4*f**2 + 1466360*f + 134388228100 = 0?
-183295
Suppose -2*g**4 + 318246*g**3 - 12660541924*g**2 + 37979398080*g - 25319174400 = 0. Calculate g.
1, 2, 79560
Factor 16*s**2/11 - 674*s/11 + 738/11.
2*(s - 41)*(8*s - 9)/11
Find o such that o**5/2 + 15*o**4/2 - 227*o**3/2 + 585*o**2/2 + 113*o - 300 = 0.
-25, -1, 1, 4, 6
Factor -t**3/8 + 317*t**2 - 52815*t/8.
-t*(t - 2515)*(t - 21)/8
Factor -2*z**2 + 5910*z - 11812.
-2*(z - 2953)*(z - 2)
Factor -4*q**3/3 + 88796*q**2 + 266392*q/3.
-4*q*(q - 66598)*(q + 1)/3
Let -5*u**3 - 510*u**2 + 4400*u = 0. Calculate u.
-110, 0, 8
Factor -3*s**3/4 - 4893*s**2/2 - 2546619*s/4 - 43240398.
-3*(s + 139)**2*(s + 2984)/4
Factor -5*o**2/2 - 7105*o/2 + 21405.
-5*(o - 6)*(o + 1427)/2
Find y, given that 2*y**4/9 + 15122*y**3/9 - 126434*y**2/3 - 15122*y/9 + 379300/9 = 0.
-7586, -1, 1, 25
Factor 2*d**3/3 + 614746*d**2 + 141716934320*d - 425152647200/3.
2*(d - 1)*(d + 461060)**2/3
Determine y, given that 3*y**4 - 723*y**3 - 13110*y**2 - 12384*y = 0.
-16, -1, 0, 258
Find b, given that -b**4 - 23*b**3 + 24*b**2 = 0.
-24, 0, 1
Determine f so that -2*f**3/3 + 296*f**2/3 + 5114*f + 9828 = 0.
-39, -2, 189
Factor 5*w**4 + 355*w**3 + 675*w**2 - 1035*w.
5*w*(w - 1)*(w + 3)*(w + 69)
Factor 24*u**2 - 1065*u - 7254.
3*(u + 6)*(8*u - 403)
Let -3*g**3 + 8877*g**2 = 0. What is g?
0, 2959
Factor -3*o**3 + 122802*o**2 - 1256694267*o.
-3*o*(o - 20467)**2
Find i such that 3*i**5/8 + 3*i**4 - 93*i**3/4 - 99*i**2/2 + 1431*i/8 + 405/2 = 0.
-12, -3, -1, 3, 5
Let -2*l**2 + 1172*l - 5810 = 0. Calculate l.
5, 581
Find d, given that -2*d**2 + 7262*d - 7260 = 0.
1, 3630
Factor 3*s**3/8 - 200559*s**2/8 + 3351892425*s/8 + 3352092987/8.
3*(s - 33427)**2*(s + 1)/8
Factor -2*j**2 - 2432*j + 59520.
-2*(j - 24)*(j + 1240)
Find a such that -2*a**4 + 272*a**3 - 2048*a**2 = 0.
0, 8, 128
Find w, given that 3*w**3 + 21132*w**2 + 42255*w + 21126 = 0.
-7042, -1
What is f in 12*f**2 - 79908*f + 133026843 = 0?
6659/2
Factor -2*w**2/5 - 920644*w/5 - 105948171842/5.
-2*(w + 230161)**2/5
Solve i**2/5 - 4265*i + 127914/5 = 0.
6, 21319
Factor -3686*l**2/13 - 995224*l/13 - 1080/13.
-2*(l + 270)*(184