/9 = 0.
0, 11, 61
Determine j, given that 3*j**2/2 - 68583*j = 0.
0, 45722
Let -4*b**3/7 - 9472*b**2/7 - 5588432*b/7 + 22505536/7 = 0. What is b?
-1186, 4
Determine r so that -r**2/3 + 38989*r/3 + 38990/3 = 0.
-1, 38990
Let 2*p**5 + 12*p**4 - 8*p**3 - 48*p**2 = 0. What is p?
-6, -2, 0, 2
Factor -5*t**3 + 1385*t**2 + 1390*t.
-5*t*(t - 278)*(t + 1)
Suppose -4*f**2 + 409544*f - 10482892996 = 0. What is f?
51193
Factor 3*b**3/2 - 24927*b**2/2 + 51767145*b/2 + 51792075/2.
3*(b - 4155)**2*(b + 1)/2
Factor -x**2/2 + 44209*x/2 - 22104.
-(x - 44208)*(x - 1)/2
Factor d**2 - 1184*d - 64272.
(d - 1236)*(d + 52)
Solve 28*h**2/5 - 2188*h/5 - 4488/5 = 0 for h.
-2, 561/7
Let -2*z**5/3 + 5674*z**4/3 - 5666*z**3/3 - 17018*z**2/3 + 5668*z/3 + 11344/3 = 0. What is z?
-1, 1, 2, 2836
Solve -2*l**4 - 174*l**3 + 8594*l**2 + 80142*l - 88560 = 0 for l.
-120, -9, 1, 41
Find t, given that -4*t**2 + 392624*t - 9634600336 = 0.
49078
Suppose -3*z**5/7 - 1530*z**4/7 - 179079*z**3/7 + 4105572*z**2/7 - 2032020*z + 13483200/7 = 0. What is z?
-265, 2, 16
Factor -4*d**2 + 157*d - 1455.
-(d - 15)*(4*d - 97)
Determine a so that 15*a**2 - 835*a + 9150 = 0.
15, 122/3
What is h in -2*h**4/9 - 79924*h**3/9 - 798320858*h**2/9 + 1064747528*h/3 - 354951368 = 0?
-19983, 2
Suppose 3*w**4 - 48*w**3 - 120*w**2 + 2496*w + 5040 = 0. Calculate w.
-6, -2, 10, 14
Factor -4*v**3 - 932*v**2 - 1848*v.
-4*v*(v + 2)*(v + 231)
Factor 4*p**2/5 - 7188*p/5 - 4320.
4*(p - 1800)*(p + 3)/5
What is h in -h**4/3 + 3292*h**3/3 + 26383*h**2/3 + 56090*h/3 + 11000 = 0?
-5, -2, -1, 3300
Factor r**2/5 - 1806*r/5 + 23309/5.
(r - 1793)*(r - 13)/5
What is v in v**4/7 + 72*v**3/7 + 1215*v**2/7 - 1436*v/7 - 2580/7 = 0?
-43, -30, -1, 2
Factor -2*y**3/9 - 2702*y**2/9 - 136448*y/9 - 585416/3.
-2*(y + 26)**2*(y + 1299)/9
Factor -2*k**4/17 - 1600*k**3/17 - 94*k**2.
-2*k**2*(k + 1)*(k + 799)/17
Let q**3/4 - 8841*q**2/4 + 37502*q = 0. What is q?
0, 17, 8824
Factor -5*m**4 - 410*m**3 + 7035*m**2 - 23600*m - 31040.
-5*(m - 8)**2*(m + 1)*(m + 97)
Factor 3*n**3/5 - 936*n**2/5 - 8697*n/5 + 1926.
3*(n - 321)*(n - 1)*(n + 10)/5
Factor -4*i**3 - 10668*i**2 + 85536*i - 171200.
-4*(i - 4)**2*(i + 2675)
Determine r so that 2*r**3/9 - 4438*r**2/3 - 374360*r/9 = 0.
-28, 0, 6685
Determine m so that -35*m**4 + 410*m**3 + 2780*m**2 - 5960*m - 1920 = 0.
-6, -2/7, 2, 16
Solve -2*p**5/11 + 320*p**4 + 3524*p**3/11 - 320*p**2 - 3522*p/11 = 0.
-1, 0, 1, 1761
Find r such that 2*r**5/9 + 202*r**4/9 - 422*r**3/3 + 214*r**2 = 0.
-107, 0, 3
Solve 4*p**3 - 1564*p**2 - 506692*p - 31513892 = 0 for p.
-113, 617
Determine c so that 8359262041*c**4 + 16718706940*c**3 + 365717*c**2 + 2*c = 0.
-2, -1/91429, 0
Let -2*w**2 - 200088*w - 5004400968 = 0. What is w?
-50022
Solve 2*b**2/9 + 470*b/9 - 472/9 = 0 for b.
-236, 1
Suppose -i**2 - 48*i + 9625 = 0. What is i?
-125, 77
Factor -2*s**3/3 + 100*s**2/3 - 986*s/3 + 296.
-2*(s - 37)*(s - 12)*(s - 1)/3
Factor -125*w**3 + 5509*w**2 - 10896*w + 756.
-(w - 42)*(w - 2)*(125*w - 9)
Determine s so that 2*s**4 - 106*s**3 - 6452*s**2 - 18584*s - 12240 = 0.
-34, -2, -1, 90
Factor -h**3/4 + 11283*h**2/4 - 8459*h - 11280.
-(h - 11280)*(h - 4)*(h + 1)/4
Factor 5*y**3 + 174680*y**2 + 1525829785*y + 3050960890.
5*(y + 2)*(y + 17467)**2
Factor 3*y**2 - 795*y + 3132.
3*(y - 261)*(y - 4)
Determine b, given that 3*b**3 + 102*b**2 + 927*b + 2268 = 0.
-21, -9, -4
Factor 2*t**4/5 - 13678*t**3/5 + 13676*t**2/5.
2*t**2*(t - 6838)*(t - 1)/5
Find q, given that -q**4/3 - 79*q**3/3 - 68*q**2 + 1796*q/3 - 2128/3 = 0.
-76, -7, 2
Factor 3*y**3/2 + 4831*y**2 + 3891370*y + 2592100.
(y + 1610)**2*(3*y + 2)/2
Factor 3*z**3/5 - 138*z**2/5 + 1857*z/5 - 1242.
3*(z - 23)*(z - 18)*(z - 5)/5
Find u, given that -4*u**4 + 148*u**3 + 2028*u**2 - 7060*u + 4888 = 0.
-13, 1, 2, 47
Suppose -4*j**5 + 1036*j**4 + 2100*j**3 - 3132*j**2 = 0. Calculate j.
-3, 0, 1, 261
Determine b so that 2*b**4 - 286*b**3 + 5564*b**2 - 29040*b = 0.
0, 10, 12, 121
Find g such that -3*g**2/8 - 48831*g/8 + 48837/4 = 0.
-16279, 2
Factor 5*v**5 + 1440*v**4 + 97760*v**3 - 852480*v**2 + 1752320*v.
5*v*(v - 4)**2*(v + 148)**2
Factor -3*y**3/2 + 73257*y**2/2 + 36630*y.
-3*y*(y - 24420)*(y + 1)/2
Factor 5*o**2 - 1355600*o + 91882568000.
5*(o - 135560)**2
Factor -2*d**2/7 - 36104*d/7 + 108330/7.
-2*(d - 3)*(d + 18055)/7
Solve -2*b**3/15 + 919214*b**2/15 - 3676832*b/15 + 1225608/5 = 0 for b.
2, 459603
Factor 3*s**4 + 2892*s**3 - 67590*s**2 + 505116*s - 1199205.
3*(s - 9)**2*(s - 5)*(s + 987)
Find c such that -235298*c**5/5 - 12264308*c**4/5 + 28877072*c**3 + 17802272*c**2/5 + 728288*c/5 + 1984 = 0.
-62, -2/49, 10
Factor -4*o**3/3 - 16960*o**2 + 339600*o - 5096000/3.
-4*(o - 10)**2*(o + 12740)/3
Factor 2*q**3/15 + 34826*q**2/15 + 151554032*q/15 - 151658528/5.
2*(q - 3)*(q + 8708)**2/15
Suppose -4*h**2 + 2040*h - 4064 = 0. What is h?
2, 508
Determine a so that a**5/2 + 16*a**4 - 3*a**3/2 - 47*a**2 + 32*a = 0.
-32, -2, 0, 1
Let -x**2/4 - 3673*x/4 - 4585 = 0. What is x?
-3668, -5
Solve -2*d**2/25 - 858*d/25 + 172/5 = 0 for d.
-430, 1
Factor 48*o**2 - 295198*o/5 - 492.
2*(o - 1230)*(120*o + 1)/5
Find y, given that 3*y**5 + 258*y**4 + 4500*y**3 + 27054*y**2 + 47385*y = 0.
-65, -9, -3, 0
Factor -5*l**2 + 483360*l - 11681844480.
-5*(l - 48336)**2
Suppose -3*o**5 - 141*o**4 - 1737*o**3 - 999*o**2 + 22680*o = 0. What is o?
-24, -21, -5, 0, 3
Solve -4*u**5/3 - 76*u**4 + 140*u**3 + 33124*u**2/3 - 54880*u = 0.
-56, -15, 0, 7
Determine y, given that -2*y**2/11 + 9370*y/11 + 397068/11 = 0.
-42, 4727
Find g such that -5*g**2 - 155420*g - 1207768820 = 0.
-15542
Factor 5*n**2 - 1666380*n + 138841115220.
5*(n - 166638)**2
Determine y so that -y**2 - 144*y - 2880 = 0.
-120, -24
Determine q so that 2*q**5 + 4128*q**4 - 91786*q**3 - 4128*q**2 + 91784*q = 0.
-2086, -1, 0, 1, 22
Factor m**2/2 - 2365*m/2 - 4738.
(m - 2369)*(m + 4)/2
Factor 32*z**3/3 - 33360*z**2 + 116662*z - 306152/3.
2*(z - 3124)*(4*z - 7)**2/3
Factor -3*l**3 + 2913*l**2 + 20538*l.
-3*l*(l - 978)*(l + 7)
Find z such that 72*z**5 - 54*z**4/5 - 511*z**3/5 - 8*z**2 + 67*z/5 + 2 = 0.
-1, -1/3, -1/6, 2/5, 5/4
Find u such that -u**3/4 - 1737*u**2/4 + 10449*u/4 - 15687/4 = 0.
-1743, 3
Suppose -2*c**2/21 + 62270*c/21 + 8896/3 = 0. Calculate c.
-1, 31136
Factor 690561*m**3/4 + 2068359*m**2/4 - 2492*m + 3.
(m + 3)*(831*m - 2)**2/4
Let r**5 + 9*r**4 - 46*r**3 + 74*r**2 - 51*r + 13 = 0. Calculate r.
-13, 1
Factor -3*u**2 - 1548*u + 244983.
-3*(u - 127)*(u + 643)
Factor n**2 + 426422*n - 426423.
(n - 1)*(n + 426423)
Suppose 5*b**4 - 2600*b**3 + 10340*b**2 - 10320*b = 0. Calculate b.
0, 2, 516
Factor -2*t**2/5 - 40916*t/5 - 81824/5.
-2*(t + 2)*(t + 20456)/5
Let 5*d**2/4 + 875*d/4 + 9685/2 = 0. Calculate d.
-149, -26
Factor -3*u**3 + 276*u**2 - 2181*u - 71100.
-3*(u - 79)*(u - 25)*(u + 12)
Find r such that 2*r**4/5 - 1266*r**3/5 + 195852*r**2/5 + 285184*r + 245760 = 0.
-6, -1, 320
Let f**4/5 + 296*f**3 - 593*f**2 - 296*f + 2964/5 = 0. Calculate f.
-1482, -1, 1, 2
Factor 2*g**3/7 + 3008*g**2/7 - 15082*g/7 + 12072/7.
2*(g - 4)*(g - 1)*(g + 1509)/7
Find s such that s**3/2 - 6545*s**2/2 + 5336584*s + 59099062 = 0.
-11, 3278
Factor 4*x**3 + 2612*x**2 + 46044*x + 205740.
4*(x + 9)**2*(x + 635)
Solve 3*o**5 - 36*o**4 - 738*o**3 + 6756*o**2 - 5985*o = 0.
-15, 0, 1, 7, 19
Find o, given that o**4/6 + 7*o**3/2 + 33*o**2/2 + 45*o/2 = 0.
-15, -3, 0
Let -2*z**2/11 - 2676*z/11 + 5360/11 = 0. Calculate z.
-1340, 2
Find n such that 2*n**4/15 - 2068*n**3/15 + 68128*n**2/15 - 25600*n/3 = 0.
0, 2, 32, 1000
Determine z, given that -2*z**3/7 - 40174*z**2/7 + 401890*z/7 - 143550 = 0.
-20097, 5
Suppose -2*g**2/7 - 640*g/7 - 4992/7 = 0. Calculate g.
-312, -8
Factor -2545*d**2/3 - 1850*d - 920/3.
-5*(d + 2)*(509*d + 92)/3
What is a in -2*a**5/21 - 82*a**4/21 - 234*a**3/7 + 5858*a**2/21 + 52720*a/21 - 8800 = 0?
-20, -11, 3, 7
Factor -15213*l**2/2 - 289053*l/2 - 57.
-3*(l + 19)*(5071*l + 2)/2
Factor -5*m**4 - 8370*m**3.
-5*m**3*(m + 1674)
Suppose 2*j**5 - 80*j**4 + 488*j**3 - 852*j**2 - 234*j + 1188 = 0. What is j?
-1, 2, 3, 33
Determine o so that -25*o**3 - 2405*o**2 - 2859*o - 855 = 0.
-95, -3/5
Solve -5*p**2 + 169260*p + 169265 = 0.
-1, 33853
Solve -6*b**5 - 9014*b**4/3 - 90916*b**3 - 700032*b**2 + 480256*b/3 = 0.
-469, -16, 0, 2/9
What is m in 23*m**2/2 - 151*m/2 + 39 = 0?
13/23, 6
Suppo