rmine m so that -5*m**5/4 + 7*m**4/2 + 43*m**3/4 + 6*m**2 = 0.
-1, 0, 24/5
Suppose 45*m**3 - 139*m**2 + 12*m = 0. What is m?
0, 4/45, 3
Factor k**2/9 - 4129*k/3 - 49564/9.
(k - 12391)*(k + 4)/9
Factor d**3 + 3211*d**2 - 6425*d + 3213.
(d - 1)**2*(d + 3213)
Factor -2*g**3/9 + 14902*g**2/9 - 29798*g/9 + 4966/3.
-2*(g - 7449)*(g - 1)**2/9
Find u, given that 2*u**3 + 688*u**2 + 12350*u = 0.
-325, -19, 0
Suppose 3*v**4/5 + 27*v**3/5 + 21*v**2/5 - 27*v/5 - 24/5 = 0. Calculate v.
-8, -1, 1
Let 3*q**3 + 2583*q**2 - 50220*q - 52800 = 0. What is q?
-880, -1, 20
Factor 4*q**3 + 1468*q**2 - 11972*q + 10500.
4*(q - 7)*(q - 1)*(q + 375)
Factor q**4/5 - 674*q**3/5 - 3*q**2/5 + 404*q + 1348/5.
(q - 674)*(q - 2)*(q + 1)**2/5
Factor b**4/7 - 14*b**3 + 67*b**2 - 372*b/7.
b*(b - 93)*(b - 4)*(b - 1)/7
Factor 4*b**4 - 448*b**3 + 18784*b**2 - 349440*b + 2433600.
4*(b - 30)**2*(b - 26)**2
Solve -3*p**3/5 + 1011*p**2/5 + 6780*p + 119232/5 = 0.
-27, -4, 368
Suppose z**4 - 29794*z**3 - 29796*z**2 + 29794*z + 29795 = 0. Calculate z.
-1, 1, 29795
Let 44*l**2/3 - 8660*l/3 = 0. Calculate l.
0, 2165/11
Find q, given that -2*q**5 + 184*q**4 - 850*q**3 - 1780*q**2 + 3432*q + 4176 = 0.
-2, -1, 2, 6, 87
Find n, given that 2*n**2/5 + 48092*n/5 - 144294/5 = 0.
-24049, 3
Suppose -2*u**3/7 - 1130*u**2/7 - 1124*u/7 + 2256/7 = 0. What is u?
-564, -2, 1
Solve -3*u**5/4 - 4092*u**4 + 16377*u**3 - 16380*u**2 = 0 for u.
-5460, 0, 2
Solve -2*d**5/3 - 796*d**4 - 100246*d**3/3 - 1456924*d**2/3 - 2558584*d - 6316688/3 = 0 for d.
-1151, -14, -1
Factor q**3/2 + 62*q**2 + 3149*q/2 - 22445.
(q - 10)*(q + 67)**2/2
Suppose -b**4/10 - 335273*b**3/5 - 112407313981*b**2/10 + 112408319802*b/5 - 56204327538/5 = 0. What is b?
-335274, 1
Factor 3*k**2 - 21600*k + 1200192.
3*(k - 7144)*(k - 56)
Factor -5*k**2 - 1858560*k - 172712263680.
-5*(k + 185856)**2
Solve m**3 - 2167*m**2 - 4337*m - 2169 = 0 for m.
-1, 2169
Suppose z**2 + 125955*z - 125956 = 0. What is z?
-125956, 1
Solve -z**2/2 + 121288*z - 7355389472 = 0.
121288
Factor f**3/3 - 56*f**2 - 2011*f/3 + 2506.
(f - 179)*(f - 3)*(f + 14)/3
Factor -3*d**2 + 5599218*d - 2612603517627.
-3*(d - 933203)**2
Factor -4*v**3 + 8996*v**2 + 18004*v + 9004.
-4*(v - 2251)*(v + 1)**2
Let -3*n**5 + 17*n**4 - 27*n**3 + 7*n**2 + 6*n = 0. What is n?
-1/3, 0, 1, 2, 3
Factor s**2/6 - 215249*s/6 + 107624/3.
(s - 215248)*(s - 1)/6
Solve -m**3 + 398*m**2 + 19405*m + 19006 = 0 for m.
-43, -1, 442
What is i in 2345*i**4 + 140750*i**3 + 3000*i**2 = 0?
-60, -10/469, 0
Find f such that 4*f**2 + 724*f - 118560 = 0.
-285, 104
Factor 2*d**3/7 - 106*d**2/7 - 2736*d/7.
2*d*(d - 72)*(d + 19)/7
Suppose 6*c**4 - 2440*c**3 - 28352*c**2 - 30176*c + 33440 = 0. What is c?
-10, -2, 2/3, 418
Solve -4*j**4 - 2180*j**3 - 185216*j**2 - 183040*j = 0 for j.
-440, -104, -1, 0
Factor 5*c**3/3 - 74*c**2 - 27137*c/3 + 3630.
(c - 99)*(c + 55)*(5*c - 2)/3
Factor -2*z**2/9 + 2075636*z/3 - 538533100562.
-2*(z - 1556727)**2/9
Find c, given that -2*c**3 - 1184*c**2 - 3534*c = 0.
-589, -3, 0
What is h in 14*h**4/9 + 2186*h**3 + 25276*h**2/9 + 624*h = 0?
-1404, -1, -2/7, 0
Determine k, given that -2*k**5/7 - 150*k**4/7 + 1970*k**3 + 28310*k**2/7 - 13788*k/7 - 28160/7 = 0.
-128, -2, -1, 1, 55
Factor -2*r**2 - 3424*r.
-2*r*(r + 1712)
Solve -3*p**3 + 3990*p**2 + 12009*p - 15996 = 0.
-4, 1, 1333
Find n, given that -5*n**4 - 15195*n**3 - 15185*n**2 + 15195*n + 15190 = 0.
-3038, -1, 1
Solve 4*r**5/5 - 119659*r**4/5 + 89741*r**3/5 + 29914*r**2/5 = 0.
-1/4, 0, 1, 29914
Solve -4*i**2 - 7106112*i - 3156051734784 = 0 for i.
-888264
Factor 5*k**2 + 18550*k + 17205125.
5*(k + 1855)**2
Solve -w**3 + 21761*w**2 - 695584*w + 5562624 = 0 for w.
16, 21729
Solve -2*x**5/5 - 8588*x**4/5 = 0.
-4294, 0
Solve g**2/5 + 412422*g/5 - 412423/5 = 0 for g.
-412423, 1
Suppose -4*x**2 - 14516*x + 29048 = 0. Calculate x.
-3631, 2
Solve -x**2/3 + 824*x/3 + 1104 = 0.
-4, 828
Suppose -2*c**5/3 + 104*c**4/3 + 2*c**3/3 - 104*c**2/3 = 0. What is c?
-1, 0, 1, 52
Suppose -2*m**2 + 4364*m + 4366 = 0. What is m?
-1, 2183
Determine q, given that -3*q**4 - 2685*q**3/4 + 1521*q**2 - 4065*q/4 + 339/2 = 0.
-226, 1/4, 1
Factor -2*s**2 - 17347*s + 43380.
-(s + 8676)*(2*s - 5)
Determine l, given that 5*l**4 - 460*l**3 - 6630*l**2 - 20340*l - 14175 = 0.
-9, -3, -1, 105
Determine g so that 18*g**2 + 238*g + 264 = 0.
-12, -11/9
Find r such that -r**3/2 + 442*r**2/3 + 695*r/2 - 297 = 0.
-3, 2/3, 297
What is l in -l**5/6 - 7*l**4/6 + 307*l**3/2 + 5649*l**2/2 + 12744*l + 17010 = 0?
-18, -3, 35
Factor -12880125*k**4 + 128865450*k**3 - 322645205*k**2 + 1605800*k - 2000.
-5*(k - 5)**2*(1605*k - 4)**2
Determine o, given that -2*o**4/3 - 41*o**3/3 - 134*o**2/3 + 233*o + 126 = 0.
-14, -9, -1/2, 3
Determine d, given that 432*d**5 + 246*d**4 - 392*d**3 - 244*d**2 - 40*d - 2 = 0.
-1, -1/3, -1/8, -1/9, 1
Factor 3*n**3/2 + 123*n**2/2 - 8004*n - 378450.
3*(n - 75)*(n + 58)**2/2
Factor 5*x**3 - 23650*x**2 + 165305*x.
5*x*(x - 4723)*(x - 7)
Solve 4*a**2 - 48387*a - 12097 = 0.
-1/4, 12097
Factor -2*v**4 + 51670*v**3 - 333697776*v**2 - 333749448*v.
-2*v*(v - 12918)**2*(v + 1)
Determine h, given that 1323*h**5/4 - 7875*h**4/2 - 21261*h**3/2 + 12906*h**2 + 5199*h/4 + 63/2 = 0.
-3, -1/21, 1, 14
Suppose 4*g**5 + 1012*g**4 + 67448*g**3 + 434456*g**2 + 670596*g + 302580 = 0. What is g?
-123, -5, -1
Suppose 2*d**3/9 + 568*d**2/3 + 6784*d/9 = 0. Calculate d.
-848, -4, 0
Suppose 9*s**4 - 13962*s**3 + 32529*s**2 = 0. Calculate s.
0, 7/3, 1549
Solve -16*f**4 - 1198*f**3 - 10650*f**2 - 24650*f + 3250 = 0.
-65, -5, 1/8
Factor 4*f**2/3 - 516*f + 94544/3.
4*(f - 311)*(f - 76)/3
Determine y so that 9243*y**3 + 34900*y**2 - 8284*y + 16 = 0.
-4, 2/1027, 2/9
Let q**3/8 - 721*q**2/8 - 181*q/2 + 361/2 = 0. What is q?
-2, 1, 722
Find b such that -27*b**5 - 642*b**4 + 7677*b**3 - 17712*b**2 + 3564*b = 0.
-33, 0, 2/9, 3, 6
Factor -3*u**3/4 - 2565*u**2/2 - 2193075*u/4.
-3*u*(u + 855)**2/4
Factor -a**4 - 652*a**3 + 4597*a**2 - 10532*a + 7908.
-(a - 3)*(a - 2)**2*(a + 659)
Find a, given that 2*a**4/3 + 1604*a**3/7 + 12974*a**2/21 + 1816*a/7 - 2728/21 = 0.
-341, -2, -1, 2/7
Factor -d**4/6 + 40*d**3/3 + 346*d**2/3 + 176*d.
-d*(d - 88)*(d + 2)*(d + 6)/6
Suppose d**2/2 - 4589*d/2 - 229663 = 0. What is d?
-98, 4687
Determine i, given that 20*i**4/3 - 4502*i**3/3 - 2870*i**2 - 3634*i/3 + 454/3 = 0.
-1, 1/10, 227
Let w**2 - 284208*w + 284207 = 0. What is w?
1, 284207
Find q, given that -2*q**5/25 + 104*q**4/25 - 1432*q**3/25 + 1564*q**2/25 + 522*q - 900 = 0.
-3, 2, 3, 25
Suppose -2*l**2/9 + 163976*l/9 - 3361016072/9 = 0. What is l?
40994
Find j, given that 5*j**2 - 1235*j + 15210 = 0.
13, 234
What is o in -18*o**5/7 + 39*o**4 - 9*o**3/7 - 618*o**2 + 4752*o/7 - 96 = 0?
-4, 1/6, 1, 4, 14
Find l such that -21*l**3 - 39465*l**2 - 168774*l - 45000 = 0.
-1875, -4, -2/7
Suppose q**2 - 97*q + 546 = 0. Calculate q.
6, 91
Factor -3*x**2/2 + 154305*x - 7936677675/2.
-3*(x - 51435)**2/2
Solve -2*k**5 - 672*k**4 - 9096*k**3 - 25760*k**2 = 0.
-322, -10, -4, 0
Factor -t**4 + 5999*t**3/5 - 359760*t**2 - 72000*t.
-t*(t - 600)**2*(5*t + 1)/5
Factor 1058*v**2/15 + 175352*v/5 + 21797016/5.
2*(23*v + 5718)**2/15
Let 2*v**3 - 11620*v**2 + 16854786*v + 67605192 = 0. Calculate v.
-4, 2907
Let -z**4 + 348*z**3 - 347*z**2 = 0. Calculate z.
0, 1, 347
Let -14*k**4/3 - 867886*k**3/9 + 909262*k**2/9 + 41326*k/9 - 82660/9 = 0. Calculate k.
-20665, -2/7, 1/3, 1
Let -5*k**3 - 3390*k**2 - 395245*k + 398640 = 0. Calculate k.
-528, -151, 1
Suppose 4*h**3/7 - 16952*h**2/7 - 16964*h/7 + 33912/7 = 0. What is h?
-2, 1, 4239
Factor -3*w**3 - 109797*w**2 + 439224*w - 439236.
-3*(w - 2)**2*(w + 36603)
Find f, given that -4*f**5 + 72*f**4 - 412*f**3 + 1032*f**2 - 1168*f + 480 = 0.
1, 2, 3, 10
Factor 1530*k**3 + 2738*k**2 - 648*k - 8.
2*(k + 2)*(9*k - 2)*(85*k + 1)
Factor -z**4/2 + 944*z**3 - 450263*z**2 + 4432080*z - 22043025/2.
-(z - 939)**2*(z - 5)**2/2
Suppose 8*u**4 + 404*u**3 - 10452*u**2 + 32440*u - 22400 = 0. What is u?
-70, 1, 5/2, 16
Factor -4*x**2 - 10548*x + 74032.
-4*(x - 7)*(x + 2644)
Factor 2*x**3/11 - 12202*x**2/11 + 18568320*x/11 + 130576824/11.
2*(x - 3054)**2*(x + 7)/11
Factor -212*w**2 - 7684*w - 14520.
-4*(w + 2)*(53*w + 1815)
Factor j**4/4 + 35*j**3/4 - 601*j**2/4 + 1093*j/4 - 132.
(j - 11)*(j - 1)**2*(j + 48)/4
Determine m, given th