324695695*j**2 - 4650059526*j.
3*j*(j - 2)*(j + 27839)**2
Determine l so that 2*l**2 + 866*l - 143616 = 0.
-561, 128
Factor -4*c**2 + 9348*c - 18680.
-4*(c - 2335)*(c - 2)
Factor k**2/2 + 3683*k + 7364.
(k + 2)*(k + 7364)/2
Factor 722*w**2 - 172596*w + 10314882.
2*(19*w - 2271)**2
What is j in 5*j**5 + 40*j**4 - 10*j**3 - 360*j**2 - 315*j = 0?
-7, -3, -1, 0, 3
Find a, given that 2*a**2 - 3392*a + 6776 = 0.
2, 1694
Solve -158*i**4 + 658*i**3 - 684*i**2 = 0.
0, 2, 171/79
Suppose -3*u**2 - 4770*u = 0. Calculate u.
-1590, 0
Let -7*q**5 - 7065*q**4 - 16123*q**3 - 11079*q**2 - 2014*q = 0. Calculate q.
-1007, -1, -2/7, 0
Factor 3*m**2 + 360*m + 4992.
3*(m + 16)*(m + 104)
Find r such that 3*r**5 + 1122*r**4 + 121836*r**3 + 2965950*r**2 - 10024911*r = 0.
-169, -39, 0, 3
Suppose -n**2/3 - 234*n + 13699/3 = 0. What is n?
-721, 19
Solve -3*z**2/4 + 15387*z/2 + 30777/4 = 0 for z.
-1, 10259
Suppose -35*k**4 + 3825*k**3 - 1055*k**2 - 3825*k + 1090 = 0. Calculate k.
-1, 2/7, 1, 109
Factor -m**3/8 - 3223*m**2/8 + 6449*m/8 - 3225/8.
-(m - 1)**2*(m + 3225)/8
Suppose t**2/9 + 3100*t/9 = 0. What is t?
-3100, 0
Let -5*j**2 - 821260*j - 33723399380 = 0. Calculate j.
-82126
Factor 2*k**2/3 + 1780*k/3.
2*k*(k + 890)/3
Factor 2*k**5/7 + 804*k**4/7 - 1614*k**3/7 + 808*k**2/7.
2*k**2*(k - 1)**2*(k + 404)/7
Factor 3*z**2/4 - 260511*z/4 - 130257/2.
3*(z - 86838)*(z + 1)/4
Suppose 3*w**2 - 87*w - 90 = 0. What is w?
-1, 30
Factor -v**5 + 285*v**4 + 573*v**3 + 287*v**2.
-v**2*(v - 287)*(v + 1)**2
Solve -w**5/5 - 174*w**4/5 - 5672*w**3/5 + 182784*w**2/5 + 811008*w/5 = 0 for w.
-96, -4, 0, 22
Suppose 5*r**2 + 204245*r + 1225290 = 0. Calculate r.
-40843, -6
Factor -4*z**3 + 708*z**2 - 34616*z + 320352.
-4*(z - 94)*(z - 71)*(z - 12)
Solve 2*r**3 - 71124*r**2 - 284520*r - 284528 = 0.
-2, 35566
Suppose -2*r**2/3 - 131190*r - 393568/3 = 0. Calculate r.
-196784, -1
Let -68*n**3/3 - 3664*n**2 - 194880*n - 3398400 = 0. Calculate n.
-60, -708/17
Factor 3*s**2 - 540792*s + 24371332272.
3*(s - 90132)**2
Determine c, given that 3*c**4/5 - 342*c**3/5 - 10224*c**2/5 + 297438*c + 1497069/5 = 0.
-63, -1, 89
Find g, given that g**3 + 466*g**2/3 + 4859*g/3 - 1776 = 0.
-144, -37/3, 1
Suppose p**3/2 + 31973*p**2/2 - p/2 - 31973/2 = 0. What is p?
-31973, -1, 1
Factor -2*j**2/13 - 13024*j/13 + 79080.
-2*(j - 78)*(j + 6590)/13
Find m such that -m**5/2 + 447*m**4/8 + 1259*m**3/2 - 4137*m**2/8 - 671*m/4 = 0.
-11, -1/4, 0, 1, 122
Factor -3*r**2 + 7833*r - 7830.
-3*(r - 2610)*(r - 1)
Let -3*d**3/8 - 12303*d**2/4 - 12607497*d/2 + 12619803 = 0. What is d?
-4102, 2
Suppose 28*x**5 + 6980*x**4 - 62352*x**3 + 154544*x**2 - 66176*x - 33024 = 0. What is x?
-258, -2/7, 1, 4
Factor -f**2/5 + 2197*f/5 + 2198/5.
-(f - 2198)*(f + 1)/5
Let 3*x**4/4 + 7923*x**3/4 + 47445*x**2/4 + 39489*x/4 - 23715 = 0. Calculate x.
-2635, -4, -3, 1
Suppose 10*c**2/19 - 14026*c/19 - 5612/19 = 0. Calculate c.
-2/5, 1403
Factor 4*i**3 - 172620*i**2 + 1862267712*i + 1862440336.
4*(i - 21578)**2*(i + 1)
Let -y**4/2 - 519*y**3/2 + 1308*y**2 - 1048*y = 0. Calculate y.
-524, 0, 1, 4
Factor b**4/3 + 2767*b**3/3 + 1912688*b**2/3 - 1915456*b/3.
b*(b - 1)*(b + 1384)**2/3
Factor -5*a**3 - 510*a**2 - 4725*a + 476280.
-5*(a - 24)*(a + 63)**2
Factor -2*d**3/5 - 125146*d**2/5 + 50060*d.
-2*d*(d - 2)*(d + 62575)/5
Factor -2*t**2/13 + 40466*t/13.
-2*t*(t - 20233)/13
Suppose 2*o**2/3 + 726*o - 4364/3 = 0. What is o?
-1091, 2
Determine j, given that -2*j**4 + 80*j**3 + 1170*j**2 + 4000*j + 2912 = 0.
-7, -4, -1, 52
Factor -3*t**2/4 - 327*t/4 - 4425/2.
-3*(t + 50)*(t + 59)/4
Let y**5 - 11*y**4 - 1313*y**3 - 16949*y**2 - 41888*y + 60160 = 0. What is y?
-16, -5, 1, 47
Factor 5*s**3 + 910*s**2 + 25725*s - 1543500.
5*(s - 28)*(s + 105)**2
Factor 4*p**3/5 + 6968*p**2/5 - 28112*p + 140960.
4*(p - 10)**2*(p + 1762)/5
Determine u so that -5*u**2 + 2870*u - 22640 = 0.
8, 566
Factor 33*q**4/4 - 212589*q**3/2 + 456583167*q**2 - 654186490062*q + 1425143595312.
3*(q - 4294)**3*(11*q - 24)/4
Factor 3*u**3/4 - 381*u**2/4 - 96*u.
3*u*(u - 128)*(u + 1)/4
Suppose -2*t**4/13 - 318*t**3/13 + 6210*t**2/13 - 28674*t/13 = 0. What is t?
-177, 0, 9
Let 58*j**3 - 162089*j**2/6 - 6136*j + 466/3 = 0. What is j?
-1/4, 2/87, 466
What is q in 4*q**3 - 9644*q**2 - 16*q + 38576 = 0?
-2, 2, 2411
What is y in 2*y**3 + 1522*y**2 + 3038*y + 1518 = 0?
-759, -1
Let -65*o**3/2 - 77*o**2/2 - 6*o = 0. What is o?
-1, -12/65, 0
Let 2*a**2 + 41406*a - 82820 = 0. What is a?
-20705, 2
Factor -4*a**3 - 6104*a**2 + 341068*a - 334960.
-4*(a - 53)*(a - 1)*(a + 1580)
Let -2*u**2/5 + 3786*u/5 - 52612/5 = 0. Calculate u.
14, 1879
Factor 3*o**3/2 + 46215*o**2 + 712311651*o/2 + 2846289612.
3*(o + 8)*(o + 15401)**2/2
Suppose -4*o**2 - 64796*o - 194352 = 0. What is o?
-16196, -3
Factor -3*d**3/8 - 1377*d**2/8 + 12879*d/4.
-3*d*(d - 18)*(d + 477)/8
Let y**2/5 + 310737*y/5 + 932202/5 = 0. What is y?
-310734, -3
Factor -2*d**4/3 - 48*d**3 + 6786*d**2 - 152100*d.
-2*d*(d - 39)**2*(d + 150)/3
Solve -t**2/4 + 273*t/2 + 1647/4 = 0.
-3, 549
Let -2*d**3/3 - 34*d**2 + 2420*d/3 - 1472 = 0. What is d?
-69, 2, 16
Suppose -5*r**4 - 62280*r**3 + 623215*r**2 - 1059570*r + 498640 = 0. What is r?
-12466, 1, 8
Solve 3*j**2/5 + 351*j/5 = 0 for j.
-117, 0
Suppose -d**4 + 249*d**3 - 2816*d**2 - 6636*d = 0. Calculate d.
-2, 0, 14, 237
Let -3*x**5 - 316*x**4 + 13902*x**3 - 185476*x**2 + 979485*x - 1791400 = 0. Calculate x.
-424/3, 5, 13
Factor -2*y**3/5 - 444*y**2/5 + 183744*y/5 + 42653952/5.
-2*(y - 306)*(y + 264)**2/5
Factor -2*q**3 + 246*q**2 - 9870*q + 128122.
-2*(q - 47)**2*(q - 29)
Factor 3*g**3/4 - 6441*g**2/4 + 3395205*g/4 + 66854673/4.
3*(g - 1083)**2*(g + 19)/4
What is o in 2*o**4 - 1043*o**3 + 139815*o**2 - 994333*o + 462343 = 0?
1/2, 7, 257
Let -2*g**4/7 + 472*g**3/7 - 27372*g**2/7 - 8024*g - 4046 = 0. What is g?
-1, 119
Let -2*s**2/13 + 298*s/13 + 30084/13 = 0. What is s?
-69, 218
Factor y**2 - 821384*y + 168667918864.
(y - 410692)**2
Factor 25*i**2 - 1330*i + 2560.
5*(i - 2)*(5*i - 256)
Factor 5*s**4 - 455*s**3 - 15*s**2 + 1375*s - 910.
5*(s - 91)*(s - 1)**2*(s + 2)
Find h such that -2*h**5 - 3538*h**4 - 7070*h**3 - 3534*h**2 = 0.
-1767, -1, 0
Factor -s**2/3 + 140744*s/3 - 4952218384/3.
-(s - 70372)**2/3
Determine w so that -24*w**3 + 1803*w**2/5 - 1353*w + 168/5 = 0.
1/40, 7, 8
Suppose -b**2/4 + 196*b + 12209 = 0. Calculate b.
-58, 842
Suppose -f**2/5 + 15283*f = 0. What is f?
0, 76415
Factor -363*d**4 + 427680*d**3 - 126436896*d**2 + 274337280*d - 149361408.
-3*(d - 588)**2*(11*d - 12)**2
Factor -3*h**2/2 - 140685*h.
-3*h*(h + 93790)/2
Let 8*r**3/21 - 2298*r**2/7 + 86572*r/21 + 7358/7 = 0. What is r?
-1/4, 13, 849
Determine i so that -i**3 + 357*i**2 - 24231*i + 462275 = 0.
41, 275
Find a, given that 5*a**2 + 47530*a + 112955045 = 0.
-4753
Factor -2*z**2/9 + 2*z/3 + 6380/9.
-2*(z - 58)*(z + 55)/9
Factor 5*r**3 + 360*r**2 - 64860*r - 5124880.
5*(r - 116)*(r + 94)**2
Factor d**3/4 + 9*d**2/2 - 799*d/4 + 195.
(d - 20)*(d - 1)*(d + 39)/4
Factor -70*h**2/3 - 4526*h/3 + 520.
-2*(h + 65)*(35*h - 12)/3
Solve 2*d**4/3 + 68*d**3/3 + 222*d**2 + 360*d - 1800 = 0 for d.
-15, -6, 2
Factor -2*s**3/7 - 4*s**2/7 + 38*s - 260/7.
-2*(s - 10)*(s - 1)*(s + 13)/7
Factor -2*s**2/21 + 620*s/21 - 3504/7.
-2*(s - 292)*(s - 18)/21
Factor -s**4 - 7334*s**3 + 36692*s**2 - 22026*s - 66051.
-(s - 3)**2*(s + 1)*(s + 7339)
What is w in w**5/4 + 194*w**4 + 580*w**3 + 385*w**2/2 - 2321*w/4 - 773/2 = 0?
-773, -2, -1, 1
Factor 2*j**3/7 + 304*j**2/7 + 4254*j/7 - 6480.
2*(j - 7)*(j + 24)*(j + 135)/7
Find v such that v**2 + 237*v + 4142 = 0.
-218, -19
Determine n so that 2*n**3/3 + 41432*n**2/3 - 82870*n/3 + 13812 = 0.
-20718, 1
Factor 2*d**3/9 - 4040*d**2/9 + 1045450*d/9 - 72746500/9.
2*(d - 1730)*(d - 145)**2/9
Suppose 2*c**3/15 - 472*c**2/15 + 1402*c/15 - 932/15 = 0. What is c?
1, 2, 233
What is b in 5*b**3 - 3260*b**2 + 524800*b + 2151680 = 0?
-4, 328
Let 2*n**2/3 + 9988*n/3 + 9986/3 = 0. What is n?
-4993, -1
Let 134*o**4 - 26801*o**3/2 + 26448*o**2 - 26461*o/2 + 49 = 0. Calculate o.
1/268, 1, 98
Factor 4*w**2 - 2960*w - 195444.
4*(w - 801)*(w + 61)
Factor 57*q**4/4 + 32*q**3 + 7*q**2.
q**2*(q + 2)*(57*q + 14)/4
Factor 7*g**4/2 + 31865*g**3 + 72531568*g**2 + 20720704*g.
g*(g + 4552)**2*(7*g + 2)/2
Factor -8*j**2 - 489*j/5.
-j*(40*j + 489)/5
Let i**2 + 