723)*(q - 1)/5
Factor 5*l**2/4 - 12050*l + 24095.
5*(l - 9638)*(l - 2)/4
Factor 2*b**4 + 100*b**3 + 912*b**2.
2*b**2*(b + 12)*(b + 38)
Factor o**2/2 + 49*o - 10143/2.
(o - 63)*(o + 161)/2
Factor -2*o**3/5 - 748*o**2 - 1721976*o/5 + 24846192/5.
-2*(o - 14)*(o + 942)**2/5
Suppose 2*h**2/7 - 47788*h/7 + 285461618/7 = 0. What is h?
11947
Suppose 7*p**5/3 + 1559*p**4/3 - 676*p**3 - 2684*p**2/3 + 896*p/3 = 0. What is p?
-224, -1, 0, 2/7, 2
Solve 5*z**3 - 126960*z**2 - 253935*z - 126970 = 0 for z.
-1, 25394
Suppose 8*t**4 - 98*t**3 + 327*t**2 - 172*t - 65 = 0. Calculate t.
-1/4, 1, 5, 13/2
Determine k, given that -142*k**5 - 154*k**4 + 556*k**3 + 616*k**2 + 48*k = 0.
-2, -1, -6/71, 0, 2
Factor 2*i**2/15 - 2*i/5 - 1044.
2*(i - 90)*(i + 87)/15
Factor 3*d**3 - 14751*d**2.
3*d**2*(d - 4917)
Suppose f**3/4 + 863*f**2/4 + 2147*f/2 + 858 = 0. What is f?
-858, -4, -1
Solve 2*q**2 - 220760*q + 6091872200 = 0 for q.
55190
Factor -3*v**2 - 42900*v - 153367500.
-3*(v + 7150)**2
Suppose -2*h**3/3 - 4*h**2 + 62*h/3 + 80 = 0. Calculate h.
-8, -3, 5
Factor i**2/5 - 37*i/5 - 310.
(i - 62)*(i + 25)/5
Factor 3*n**4 - 15072*n**3 + 404757*n**2.
3*n**2*(n - 4997)*(n - 27)
Factor 4*o**4 - 50368*o**3 + 158558464*o**2.
4*o**2*(o - 6296)**2
Find k, given that 2*k**4/11 - 28*k**3/11 + 72*k**2/11 + 432*k/11 - 1728/11 = 0.
-4, 6
Find p such that -p**4 - 81*p**3 - 1335*p**2 - 2123*p + 3540 = 0.
-59, -20, -3, 1
Find t such that t**4/3 + 584*t**3/3 + 2903*t**2/3 + 4636*t/3 + 772 = 0.
-579, -2, -1
Determine d, given that -4*d**3/5 - 888*d**2/5 + 21664*d/5 + 46848/5 = 0.
-244, -2, 24
Factor -2*i**2 + 12078*i + 12080.
-2*(i - 6040)*(i + 1)
Suppose -2*h**2 + 715244*h - 63946747442 = 0. Calculate h.
178811
Factor i**4/5 - 726*i**3/5 + 197616*i**2/5 - 23902586*i/5 + 1083979071/5.
(i - 189)*(i - 179)**3/5
Factor -3*f**2/7 + 4896*f/7 - 19536/7.
-3*(f - 1628)*(f - 4)/7
Factor -2*w**2/11 + 4170*w/11 - 29092/11.
-2*(w - 2078)*(w - 7)/11
Find w, given that -2*w**3/3 + 2066*w**2/3 - 517712*w/3 - 2745760 = 0.
-15, 524
Factor 4*v**3 + 624148*v**2 + 24347233292*v - 24347857444.
4*(v - 1)*(v + 78019)**2
What is u in 27*u**4/4 - 61083*u**3/2 - 40731*u**2 - 13578*u = 0?
-2/3, 0, 4526
Factor 5*o**4 + 65*o**3 - 1500*o**2.
5*o**2*(o - 12)*(o + 25)
What is o in 37636*o**5 - 73720*o**4 - 3088*o**3 - 32*o**2 = 0?
-2/97, 0, 2
Factor p**2 - 1701*p - 80362.
(p - 1747)*(p + 46)
Factor 18*o**3 - 69648*o**2 - 46438*o - 7740.
2*(o - 3870)*(3*o + 1)**2
What is j in -4*j**4 + 12800*j**3 - 13787136*j**2 + 5138546688*j - 150730702848 = 0?
32, 1056
Find h, given that -3*h**4 + 201*h**3 - 3528*h**2 + 1536*h + 122880 = 0.
-5, 8, 32
Factor -4*u**2 + 2376*u + 115020.
-4*(u - 639)*(u + 45)
What is x in -5*x**4 + 150*x**3 + 1055*x**2 - 6300*x = 0?
-9, 0, 4, 35
Suppose 147*c**4 - 10458*c**3 + 110319*c**2 + 100368*c + 21924 = 0. What is c?
-3/7, 14, 58
Determine u, given that -4*u**5 - 180*u**4 + 1608*u**3 - 4568*u**2 + 5052*u - 1908 = 0.
-53, 1, 3
Determine o so that 5*o**3 + 1065*o**2 + 47880*o - 974700 = 0.
-114, 15
Solve -2*k**2/9 + 48076*k/9 - 288912722/9 = 0.
12019
Factor 3*o**3 + 999*o**2 - 100362*o + 99360.
3*(o - 80)*(o - 1)*(o + 414)
Factor -p**2 + 480*p + 40996.
-(p - 554)*(p + 74)
Find s such that 3*s**4/2 + 403563*s**3/2 - 2421459*s**2/2 + 3632229*s/2 = 0.
-134527, 0, 3
Suppose -r**3/4 - 221*r**2/2 - 11155*r + 238050 = 0. What is r?
-230, 18
Factor -3*u**2 + 3261*u - 143658.
-3*(u - 1041)*(u - 46)
Solve -9*q**5/8 - 91*q**4/4 + 147*q**3/2 + 139*q**2/4 - 483*q/8 = 0.
-23, -1, 0, 7/9, 3
Factor -10*h**2 - 15685*h - 15675.
-5*(h + 1)*(2*h + 3135)
Suppose -5*n**5 + 1060*n**4 - 8100*n**3 - 12960*n**2 + 146880*n = 0. Calculate n.
-4, 0, 6, 204
Factor -a**2/2 - 31343*a.
-a*(a + 62686)/2
Solve 101568*r**4 + 418784*r**3 + 1065412*r**2/3 + 117232*r/3 + 1156 = 0.
-3, -1, -17/276
Factor 98*h**4 - 10170524*h**3 + 263876424578*h**2.
2*h**2*(7*h - 363233)**2
Suppose r**2/3 - 6650*r/3 = 0. Calculate r.
0, 6650
Factor -u**2/12 + 751*u/2 - 167552/3.
-(u - 4352)*(u - 154)/12
Let 3*b**5 + 2268*b**4 - 15969*b**3 + 41142*b**2 - 45756*b + 18312 = 0. What is b?
-763, 1, 2
What is f in -f**5/2 + 37*f**4 + 10059*f**3/2 + 113582*f**2 + 725102*f = 0?
-49, -14, 0, 151
Solve 626*u**2/11 + 60*u + 34/11 = 0.
-1, -17/313
What is m in 3*m**4 - 419*m**3/4 - 1643*m**2 - 11491*m/4 + 1645/2 = 0?
-10, -7/3, 1/4, 47
Let 4*o**2 - 2736*o - 41940 = 0. What is o?
-15, 699
Determine v so that 4*v**4/3 + 3404*v**3/3 + 872392*v**2/3 + 19847936*v + 19558272 = 0.
-372, -106, -1
Determine q so that -5*q**2 - 82210*q + 1151920 = 0.
-16456, 14
Find a, given that a**4/8 + 14027*a**3/4 + 196700613*a**2/8 - 196784783*a/2 + 196812841/2 = 0.
-14029, 2
Suppose 564*k**2 - 580*k + 16 = 0. What is k?
4/141, 1
Determine y so that -2*y**2 - 9022*y - 9020 = 0.
-4510, -1
Find g such that -g**3 - 11783*g**2 - 34703880*g + 34715664 = 0.
-5892, 1
Suppose 28*q**3/3 - 21058*q**2/3 - 19580*q/3 + 502 = 0. Calculate q.
-1, 1/14, 753
Factor -5*s**4 - 470*s**3 + 475*s**2.
-5*s**2*(s - 1)*(s + 95)
Factor -159*x**4 - 177*x**3 - 18*x**2.
-3*x**2*(x + 1)*(53*x + 6)
Determine c, given that -2*c**5/13 - 470*c**4/13 + 22632*c**3/13 = 0.
-276, 0, 41
Factor 5*g**2 + 18105*g + 36190.
5*(g + 2)*(g + 3619)
Find m, given that 2*m**4 + 458*m**3 + 28176*m**2 + 221320*m + 193600 = 0.
-110, -8, -1
Find v, given that -2*v**5/9 - 118*v**4/3 - 16520*v**3/9 - 25112*v**2/3 - 59168*v/9 = 0.
-86, -4, -1, 0
Let 20*z**3 + 6215*z**2 - 14075*z + 3130 = 0. Calculate z.
-313, 1/4, 2
Find b such that -4*b**3 + 39196*b**2 + 470784*b + 1412784 = 0.
-6, 9811
Factor 15*i**2/2 + 1464*i + 585/2.
3*(i + 195)*(5*i + 1)/2
Factor 6*u**3 - 1352*u**2 + 55854*u - 18468.
2*(u - 171)*(u - 54)*(3*u - 1)
Solve j**2/7 - 740*j/7 + 25344/7 = 0.
36, 704
Solve 3*h**3 + 14955*h**2 - 104886*h - 269568 = 0.
-4992, -2, 9
Suppose -38*u**5/3 - 1138*u**4/9 + 4922*u**3/9 + 5842*u**2/9 - 104*u/9 = 0. Calculate u.
-13, -1, 0, 1/57, 4
Determine v, given that -2*v**2/5 + 138*v/5 - 432 = 0.
24, 45
Solve -4*c**3/7 + 2500*c**2/7 + 7552*c/7 - 10048/7 = 0.
-4, 1, 628
Factor 3*z**3 - 372*z**2 - 4308*z + 38592.
3*(z - 134)*(z - 6)*(z + 16)
Suppose -5*u**4 - 75*u**3 + 865*u**2 - 1365*u - 2300 = 0. What is u?
-23, -1, 4, 5
Determine o so that 4*o**4 - 84*o**3 - 536*o**2 + 336*o + 2080 = 0.
-5, -2, 2, 26
Factor 2*z**4 + 140*z**3 - 4466*z**2 + 4324*z.
2*z*(z - 23)*(z - 1)*(z + 94)
Factor -m**4/5 - 42*m**3/5 + 3*m**2/5 + 124*m/5 - 84/5.
-(m - 1)**2*(m + 2)*(m + 42)/5
What is l in 37*l**3/2 + 21795*l**2/2 + 291187*l + 15708 = 0?
-561, -28, -2/37
Find t such that -t**2/2 - 101*t + 1035/2 = 0.
-207, 5
Let -733*l**2 + 4*l = 0. Calculate l.
0, 4/733
Suppose -5*s**3 - 4351*s**2/4 - 10993*s/4 - 1505 = 0. Calculate s.
-215, -7/4, -4/5
Determine w so that -3*w**3/4 - 13326*w**2 - 59167431*w + 236882988 = 0.
-8886, 4
Find x, given that -3*x**5 - 51*x**4 - 279*x**3 - 561*x**2 - 474*x - 144 = 0.
-8, -6, -1
Factor 506*o**3/19 - 244*o**2/19 - 2006*o/19 - 1256/19.
2*(o + 1)**2*(253*o - 628)/19
Factor -d**5/6 - 6*d**4 - 121*d**3/3 - 260*d**2/3 - 151*d/2 - 70/3.
-(d + 1)**3*(d + 5)*(d + 28)/6
What is j in 5*j**2/3 + 190*j/3 + 1625/3 = 0?
-25, -13
Solve -2*z**2/9 - 776*z/9 + 3752/3 = 0.
-402, 14
What is c in 4*c**3/3 + 85588*c**2/3 + 152624800*c + 152596272 = 0?
-10698, -1
Find l, given that -2*l**3 - 3252*l**2 - 497266*l + 500520 = 0.
-1455, -172, 1
Solve -2*q**5/7 + 78*q**4/7 - 622*q**3/7 - 34*q**2 + 1680*q - 1568 = 0.
-4, 1, 7, 28
Let 2*b**5/9 + 54302*b**4/9 + 24132*b**3 + 325772*b**2/9 + 217178*b/9 + 18098/3 = 0. What is b?
-27147, -1
Solve -3*w**2/4 + 7227*w/2 = 0.
0, 4818
Factor 4*b**4 + 11468*b**3 - 34440*b**2.
4*b**2*(b - 3)*(b + 2870)
Determine v so that 2*v**5/3 + 248*v**4/3 + 2288*v**3/3 + 276*v**2 - 3174*v + 2052 = 0.
-114, -9, -3, 1
Solve w**4 + 2*w**3 - 37*w**2 - 158*w - 168 = 0.
-4, -3, -2, 7
Factor 2*p**3/7 - 86*p**2/7 - 1910*p - 39550.
2*(p - 113)*(p + 35)**2/7
Find u such that -u**3/4 - 2319*u**2/4 + 580*u = 0.
-2320, 0, 1
Solve 2*w**2 + 946*w + 8352 = 0 for w.
-464, -9
Solve -4*j**4/9 - 260*j**3/3 + 3976*j**2/9 - 1600*j/3 = 0 for j.
-200, 0, 2, 3
Determine p, given that -4*p**3 - 109116*p**2 + 2183520*p - 10919600 = 0.
-27299, 10
Determine h, given that -4*h**5 + 16*h**4 + 76*h**3 + 56*h**2 = 0.
-2, -1, 0, 7
Determine y, given that 2*y**5/5 + 16*y**4/5 - 62*