 2*j**5/5 + 38*j**4 + 5204*j**3/5 + 5836*j**2 - 119798*j/5 - 181202 = 0.
-43, -7, 5
Find i, given that 125*i**2 - 1945300*i + 7568384180 = 0.
38906/5
Let -3*p**4 + 471*p**3 + 2448*p**2 - 2916*p = 0. What is p?
-6, 0, 1, 162
Factor 634*c**2/11 - 8832*c/11 - 56.
2*(c - 14)*(317*c + 22)/11
Solve -2*a**5/19 + 858*a**4/19 - 90720*a**3/19 - 279928*a**2/19 - 3456*a/19 + 373248/19 = 0 for a.
-2, 1, 216
Solve -32*n**4/3 + 122480*n**3/3 + 61246*n**2/3 + 2552*n = 0.
-1/4, 0, 3828
Factor -4*s**4 + 1584*s**3 - 37100*s**2.
-4*s**2*(s - 371)*(s - 25)
Find r, given that -24*r**3/5 - 47428*r**2/5 - 4687072*r - 3904576/5 = 0.
-988, -1/6
Solve -f**2/4 + 336*f = 0.
0, 1344
Factor 2*h**3 + 279074*h**2 + 9735984832*h + 48672947560.
2*(h + 5)*(h + 69766)**2
Suppose 2*h**4/11 + 322*h**3/11 - 280*h**2 - 3400*h/11 = 0. What is h?
-170, -1, 0, 10
Solve -2*h**3/9 - 850*h**2/9 - 11588*h/9 - 10960/3 = 0 for h.
-411, -10, -4
Factor -5*y**3 - 315*y**2 - 3400*y - 7500.
-5*(y + 3)*(y + 10)*(y + 50)
Factor 5*s**2 + 2070*s + 12240.
5*(s + 6)*(s + 408)
Find z such that 4*z**2 - 13836*z - 278320 = 0.
-20, 3479
Find v, given that 2*v**2 - 2564*v + 65312 = 0.
26, 1256
Factor -2*u**2/5 - 11156*u/5 + 4464.
-2*(u - 2)*(u + 5580)/5
Determine k so that -3*k**3 + 249*k**2 - 5286*k + 5040 = 0.
1, 40, 42
Factor -2*g**2/9 + 190*g - 17068.
-2*(g - 753)*(g - 102)/9
Factor 243*l**3 + 3780*l**2 + 17751*l + 22326.
3*(l + 2)*(9*l + 61)**2
What is k in -3*k**3 + 60*k**2 + 3591*k + 10152 = 0?
-24, -3, 47
What is v in -5*v**5 - 3090*v**4 + 9310*v**3 - 3120*v**2 - 9305*v + 6210 = 0?
-621, -1, 1, 2
Let -4*g**3 + 836*g**2 - 31736*g + 60160 = 0. Calculate g.
2, 47, 160
Factor 2*m**3 - 7622*m**2 + 45678*m - 68490.
2*(m - 3805)*(m - 3)**2
Let 128*y**4/3 + 51488*y**3/9 + 1678054*y**2/9 + 15579550*y/9 - 11147500/9 = 0. Calculate y.
-91, -175/8, 2/3
Determine y, given that 5*y**3/6 - 31969*y**2/2 + 76662460*y - 321888350/3 = 0.
7/5, 9590
Suppose k**3/6 + 241*k**2/6 + 4775*k/3 = 0. Calculate k.
-191, -50, 0
Suppose -6*t**3/5 + 5436*t**2 - 54342*t/5 + 27168/5 = 0. What is t?
1, 4528
Suppose 4*o**2/5 + 2164*o/5 + 127032/5 = 0. Calculate o.
-474, -67
Find a, given that -a**2 + 260*a - 15531 = 0.
93, 167
Let -3*i**4 - 11013*i**3 + 44121*i**2 + 77145*i - 110250 = 0. Calculate i.
-3675, -2, 1, 5
What is b in -b**5/3 - 8*b**4 + 140*b**3/3 - 50*b**2 - 139*b/3 + 58 = 0?
-29, -1, 1, 2, 3
What is n in -2*n**4/17 + 2802*n**3/17 - 16758*n**2/17 + 25110*n/17 = 0?
0, 3, 1395
Solve 2*k**2/9 + 45898*k/9 - 5100 = 0.
-22950, 1
What is t in 3*t**3 - 10482*t**2 + 9156027*t = 0?
0, 1747
Factor 5*p**3 + 115130*p**2 + 1611085*p + 5637940.
5*(p + 7)**2*(p + 23012)
Suppose 2*q**2/19 - 1766*q/19 - 3540/19 = 0. Calculate q.
-2, 885
What is l in l**2 + 1680*l = 0?
-1680, 0
Suppose -45*g**2 - 493835*g - 54870 = 0. What is g?
-10974, -1/9
Determine f so that -2*f**4 + 18*f**3 - 30*f**2 - 50*f = 0.
-1, 0, 5
Factor 3*d**4 + 1134*d**3 + 114807*d**2 + 1444716*d + 4869228.
3*(d + 7)**2*(d + 182)**2
Factor f**2 + 169205*f - 338414.
(f - 2)*(f + 169207)
Find l such that 4*l**5/5 - 4132*l**4/5 - 4980*l**3 - 37404*l**2/5 = 0.
-3, 0, 1039
Factor -4*k**2/5 - 565436*k/5.
-4*k*(k + 141359)/5
What is w in -47*w**3/5 - 704*w**2/5 + 7253*w/5 - 154/5 = 0?
-22, 1/47, 7
Factor -6*z**2/11 - 5612*z/11 + 3744/11.
-2*(z + 936)*(3*z - 2)/11
Factor -k**4/8 - 9*k**3/8 + 3121*k**2/8 - 3111*k/8.
-k*(k - 51)*(k - 1)*(k + 61)/8
Factor -2*z**3 - 200*z**2 - 4352*z.
-2*z*(z + 32)*(z + 68)
Factor -5*l**2 - 1999170*l - 199834034445.
-5*(l + 199917)**2
Factor 2*w**4/15 + 114*w**3/5 + 5346*w**2/5 + 39366*w/5.
2*w*(w + 9)*(w + 81)**2/15
Find b, given that 2*b**5/25 + 828*b**4/25 + 97272*b**3/25 + 481232*b**2/5 + 18880512*b/25 + 28901376/25 = 0.
-192, -14, -2
Suppose -4*o**2 - 15708*o + 110152 = 0. Calculate o.
-3934, 7
Find d such that 2*d**5/5 - 32*d**4/5 - 76*d**3 - 32*d**2 + 1578*d/5 - 1008/5 = 0.
-7, -3, 1, 24
Find a, given that 2*a**2/11 - 284*a/11 - 690 = 0.
-23, 165
Factor w**3 + 287*w**2 - 1758*w.
w*(w - 6)*(w + 293)
What is d in -2*d**2/3 + 13000*d/3 - 8664 = 0?
2, 6498
Solve -2*m**3 + 274*m**2/3 - 528*m + 312 = 0 for m.
2/3, 6, 39
Suppose 3*d**3/8 - 20145*d**2/4 + 33828489*d/2 - 33808347 = 0. Calculate d.
2, 6714
Determine m, given that 5*m**4 + 1265*m**3 - 3845*m**2 - 1265*m + 3840 = 0.
-256, -1, 1, 3
Factor -2*l**2 + 361624*l - 16346489672.
-2*(l - 90406)**2
Determine f, given that -3*f**4 - 975*f**3 - 4392*f**2 + 130980*f + 134400 = 0.
-320, -14, -1, 10
Find g such that 2*g**4 - 146*g**3 - 1866*g**2 + 1314*g + 16632 = 0.
-11, -3, 3, 84
Solve -l**5 + 545*l**4 - 1629*l**3 + 1627*l**2 - 542*l = 0 for l.
0, 1, 542
Find z, given that -z**5/2 + 22*z**4 + 96*z**3 + 8*z**2 - 376*z - 384 = 0.
-2, 2, 48
Factor -v**4/7 - 15*v**3/7 + 249*v**2/7 + 1495*v/7.
-v*(v - 13)*(v + 5)*(v + 23)/7
Suppose -2*z**5/7 + 44*z**4/7 - 156*z**3/7 + 32*z**2 - 146*z/7 + 36/7 = 0. Calculate z.
1, 18
Factor -2*y**3/3 + 33668*y**2/3 - 141725440*y/3 + 283316224/3.
-2*(y - 8416)**2*(y - 2)/3
Find r, given that -4*r**2 - 123580*r - 123576 = 0.
-30894, -1
Factor 2*h**2/7 + 780768*h/7 + 76199833728/7.
2*(h + 195192)**2/7
What is m in -m**3/3 + 2090*m**2/3 - 9696*m + 16608 = 0?
2, 12, 2076
Let -5*b**3/3 - 335*b**2/3 - 1600*b - 3840 = 0. Calculate b.
-48, -16, -3
Find p, given that 2*p**4 + 204*p**3 + 1162*p**2 + 936*p - 2304 = 0.
-96, -4, -3, 1
Determine i, given that 3*i**3/2 - 1191*i**2 - 61353*i/2 - 29484 = 0.
-24, -1, 819
Find z such that 18*z**4 - 868*z**3 - 18942*z**2 - 44888*z + 10920 = 0.
-14, -3, 2/9, 65
Factor n**2/4 + 75333*n + 301331/4.
(n + 1)*(n + 301331)/4
Factor -4*f**3/9 + 44*f**2/9 + 128*f/9 - 320/3.
-4*(f - 12)*(f - 4)*(f + 5)/9
Factor 2*g**2/3 - 82*g/3 + 620/3.
2*(g - 31)*(g - 10)/3
Factor -4*t**2 - 670248*t - 670244.
-4*(t + 1)*(t + 167561)
Factor -2*s**2/13 - 1914*s/13 - 41140/13.
-2*(s + 22)*(s + 935)/13
Let 3*u**4 + 696*u**3 - 15063*u**2 + 14364*u = 0. Calculate u.
-252, 0, 1, 19
Let 2*w**4 - 161*w**3/2 - 332*w**2 + 88*w = 0. Calculate w.
-4, 0, 1/4, 44
Solve -3*h**2 - 216012*h - 3888432012 = 0.
-36002
Solve 4*a**3/7 + 3484*a**2/7 + 13884*a/7 + 10404/7 = 0 for a.
-867, -3, -1
Find m, given that m**3/7 + 509*m**2/7 + 7454*m/7 + 21736/7 = 0.
-494, -11, -4
Factor -l**2/5 + 1421843*l/5 - 1421842/5.
-(l - 1421842)*(l - 1)/5
Factor j**2 - 100760*j + 2538144400.
(j - 50380)**2
Find o such that -2*o**2/5 - 173636*o/5 - 3768682562/5 = 0.
-43409
What is k in 63*k**2 - 75*k - 2562 = 0?
-122/21, 7
Factor 3*b**4 + 56676*b**3 + 267850722*b**2 + 1605574404*b + 2407596723.
3*(b + 3)**2*(b + 9443)**2
Solve -10*g**2 - 617875*g + 926835 = 0.
-61789, 3/2
Factor 4*n**3/9 - n**2 - 655*n/9 - 550/3.
(n - 15)*(n + 10)*(4*n + 11)/9
Find t such that -2*t**4/7 + 21132*t**3/7 + 190320*t**2/7 + 317300*t/7 - 528750/7 = 0.
-5, 1, 10575
Find c, given that -6*c**5/13 - 74*c**4/13 + 484*c**3/13 - 48*c**2 = 0.
-52/3, 0, 2, 3
Factor -q**2/3 - 414*q - 17192/3.
-(q + 14)*(q + 1228)/3
Find t such that -t**3 - 288*t**2 - 1979*t - 3372 = 0.
-281, -4, -3
Factor 2*t**3 - 108132*t**2 + 1460808960*t + 20472524800.
2*(t - 27040)**2*(t + 14)
Factor 94*n**2 - 1526*n + 352.
2*(n - 16)*(47*n - 11)
Factor -12231458*d**2/11 + 9892*d/11 - 2/11.
-2*(2473*d - 1)**2/11
Determine a, given that -7*a**4/3 - 110*a**3/3 - 523*a**2/3 - 248*a - 108 = 0.
-54/7, -6, -1
Let -2*w**2 + 7206*w - 21600 = 0. Calculate w.
3, 3600
Determine w, given that -4*w**2 - 2320*w + 2324 = 0.
-581, 1
Factor -n**3 - 33*n**2 + 3466*n - 3432.
-(n - 44)*(n - 1)*(n + 78)
Factor 4*g**2 - 10260*g - 41104.
4*(g - 2569)*(g + 4)
Let -j**3/6 + 82*j**2/3 - 2975*j/2 + 26877 = 0. Calculate j.
51, 62
Factor -2*j**2/5 - 235612*j/5 - 6939126818/5.
-2*(j + 58903)**2/5
Factor -242*x**4 - 3129632*x**3 - 10118953776*x**2 - 3679309184*x - 334473248.
-2*(x + 6466)**2*(11*x + 2)**2
Let 4*g**5/7 + 172*g**4/7 + 2008*g**3/7 + 480*g**2 = 0. Calculate g.
-21, -20, -2, 0
Let -c**3 - 9726*c**2 + 331807*c - 322080 = 0. Calculate c.
-9760, 1, 33
Factor 6*l**2/11 + 1392*l/11 - 57888/11.
6*(l - 36)*(l + 268)/11
Let x**4 - 16*x**3 - 202*x**2 + 976*x - 759 = 0. Calculate x.
-11, 1, 3, 23
Determine u, given that -4*u**3 + 203660*u**2 - 407308*u + 203652 = 0.
1, 50913
Suppose f**5/9 - 5234*f**4/9 - f**3 + 47110*f**2/9 - 20924*f/9 - 20936/3 = 0. Calculate f.
-3, -1, 2, 5234
Factor 4*w**3/5 + 79316*