/3.
-2*(h - 1672)*(h + 1)/3
Factor n**3 - 569*n**2 + 96879*n - 5175351.
(n - 311)*(n - 129)**2
Factor 4*c**2/11 - 2674*c/11 + 11952/11.
2*(c - 664)*(2*c - 9)/11
Factor 15*r**2 + 320905*r + 213930.
5*(r + 21393)*(3*r + 2)
Solve -3*u**3/5 + 993*u**2/5 - 18717*u/5 + 17727/5 = 0 for u.
1, 19, 311
Determine t so that 4*t**4/3 - 48268*t**3/3 - 48276*t**2 - 144836*t/3 - 48280/3 = 0.
-1, 12070
Determine m so that -3*m**3 + 381*m**2 + 4035*m + 10275 = 0.
-5, 137
Factor j**4 - 35*j**3 - 894*j**2 - 3124*j - 2968.
(j - 53)*(j + 2)**2*(j + 14)
Solve 2612777472*w**2/5 + 144576*w/5 + 2/5 = 0.
-1/36144
Suppose x**2/7 + 77813*x/7 - 155630/7 = 0. What is x?
-77815, 2
Solve 3*w**5 - 81*w**4 - 52725*w**3 - 2366151*w**2 - 6730686*w - 4417176 = 0.
-67, -2, -1, 164
What is x in 2*x**4/9 + 22*x**3/3 + 38*x**2 + 494*x/9 + 24 = 0?
-27, -4, -1
Determine u, given that 5*u**4 - 20345*u**3 - 101850*u**2 = 0.
-5, 0, 4074
Find x such that x**4 + 239*x**3 - 2491*x**2 - 239*x + 2490 = 0.
-249, -1, 1, 10
Solve c**2/4 - 25303*c/2 + 640241809/4 = 0.
25303
Factor -4*t**2 - 144*t + 33300.
-4*(t - 75)*(t + 111)
Factor -5*q**2 + 47770*q + 286800.
-5*(q - 9560)*(q + 6)
Determine o so that -14*o**4/3 + 363*o**3 - 8896*o**2 + 197632*o/3 = 0.
0, 193/14, 32
Solve 2*h**3/15 - 66*h**2/5 - 2078*h/5 - 6650/3 = 0.
-19, -7, 125
Let 2*h**2/23 - 1806*h/23 - 1360 = 0. What is h?
-17, 920
Suppose 5*p**4/6 + 135*p**3 + 6100*p**2 + 153520*p/3 + 115520 = 0. What is p?
-76, -6, -4
Find p, given that -1323*p**3/2 - 2583*p**2 + 501*p/2 - 6 = 0.
-4, 1/21
Let -3*m**3/5 - 117*m**2/5 - 846*m/5 + 2184/5 = 0. Calculate m.
-28, -13, 2
Factor -2*t**2/11 - 14*t - 2600/11.
-2*(t + 25)*(t + 52)/11
Factor r**3 - 4587*r**2 - 9177*r - 4589.
(r - 4589)*(r + 1)**2
Determine a so that a**5/9 + 115*a**4/3 - 2833*a**3/9 - 353*a**2 = 0.
-353, -1, 0, 9
Determine k so that -3*k**3 + 155748*k**2 - 2021609031*k + 4042595094 = 0.
2, 25957
Let 5*j**4 - 1955*j**3 + 31790*j**2 = 0. Calculate j.
0, 17, 374
Factor 3*l**3 + 822*l**2 + 9540*l + 28296.
3*(l + 6)**2*(l + 262)
Suppose -4*q**5 - 108*q**4 + 596*q**3 + 25500*q**2 + 48800*q + 24000 = 0. Calculate q.
-20, -1, 15
What is n in -3*n**2 + 101445*n - 101442 = 0?
1, 33814
Solve 3*p**3/8 - 1845*p**2/4 - 113313*p/8 - 27405/2 = 0 for p.
-29, -1, 1260
Let -4*f**3/5 + 3232*f**2/5 + 121396*f/5 + 23632 = 0. What is f?
-35, -1, 844
Find z such that 5*z**4 - 6907525*z**3 + 2385698535040*z**2 - 2385691627520*z = 0.
0, 1, 690752
Find u such that 12*u**5/7 + 32*u**4/7 - 60*u**3/7 - 128*u**2/7 + 48*u/7 = 0.
-3, -2, 0, 1/3, 2
Find t, given that 2*t**4/13 + 438*t**3/13 + 14396*t**2/13 + 114240*t/13 - 289600/13 = 0.
-181, -20, 2
Suppose -2*c**3/9 + 21506*c**2/3 - 173451266*c/3 + 520289282/9 = 0. Calculate c.
1, 16129
Suppose n**3/9 + 176591*n**2/9 + 2598845593*n/3 + 4330918805 = 0. Calculate n.
-88293, -5
Suppose 4*z**2 - 5448*z + 1470644 = 0. What is z?
371, 991
Let 64*l**5/7 - 352*l**4/7 - 7676*l**3/7 - 21048*l**2/7 - 9108*l/7 - 1080/7 = 0. Calculate l.
-6, -3, -1/4, 15
Let -t**3 + 29*t**2 - 244*t + 576 = 0. Calculate t.
4, 9, 16
Determine t, given that 2*t**2 - 532*t - 4950 = 0.
-9, 275
Determine u so that -u**2 + 2215*u = 0.
0, 2215
Factor z**2/3 - 9*z + 92/3.
(z - 23)*(z - 4)/3
Let -16*w**5 + 460*w**4 + 4768*w**3 - 22036*w**2 + 26328*w - 9504 = 0. What is w?
-11, 3/4, 1, 2, 36
Solve 3*u**3 - 4347*u**2 + 1576872*u - 1572528 = 0.
1, 724
Factor 3*i**3/8 + 1083*i**2/4 - 15603*i/2 + 55125.
3*(i - 14)**2*(i + 750)/8
Solve 2*i**5/13 - 404*i**4/13 + 2346*i**3/13 + 1216*i**2/13 - 7864*i/13 + 4704/13 = 0 for i.
-2, 1, 6, 196
Let -4*a**4/3 + 1116*a**3 - 26596*a**2/3 + 18804*a - 33160/3 = 0. Calculate a.
1, 2, 5, 829
Determine d, given that -65*d**5 - 15*d**4 + 1475*d**3 + 975*d**2 - 8010*d - 7560 = 0.
-42/13, -3, -1, 3, 4
Factor 4*d**3 + 5468*d**2 - 167640*d.
4*d*(d - 30)*(d + 1397)
Find m such that 2*m**2/13 + 564*m/13 + 3850/13 = 0.
-275, -7
Find j, given that -3*j**3 + 2091*j**2 - 10392*j + 8304 = 0.
1, 4, 692
Factor -f**3/2 - 32*f**2 + 18*f + 1152.
-(f - 6)*(f + 6)*(f + 64)/2
Factor p**3 - 2846*p**2 - 11396*p - 11400.
(p - 2850)*(p + 2)**2
Determine f, given that 5*f**5 + 25*f**4 - 625*f**3 + 1875*f**2 - 180*f - 2700 = 0.
-15, -1, 2, 3, 6
What is n in -2*n**5/9 - 46*n**4/9 + 592*n**3/3 + 6016*n**2 + 33792*n = 0?
-24, -8, 0, 33
Suppose -2*t**3/3 + 42382*t**2/3 - 169504*t/3 + 169496/3 = 0. What is t?
2, 21187
Factor 30*o**3 - 18625*o**2 + 2861040*o + 9247680.
5*(o - 312)**2*(6*o + 19)
Factor 2*n**3/3 + 228*n**2 - 8250*n.
2*n*(n - 33)*(n + 375)/3
Solve -2*b**4/11 - 64*b**3/11 + 1224*b**2/11 + 43456*b/11 + 81536/11 = 0.
-28, -2, 26
Factor -m**3/5 + 714*m**2/5 + 4311*m/5 + 1296.
-(m - 720)*(m + 3)**2/5
Solve 201*d**2/8 - 2361*d - 141/2 = 0 for d.
-2/67, 94
Let -3*x**3 + 858*x**2 - 37947*x - 38808 = 0. Calculate x.
-1, 56, 231
Determine t, given that -5*t**3 - 23145*t**2 + 558140*t - 1023660 = 0.
-4653, 2, 22
Factor 15*f**2 - 66415*f - 22140.
5*(f - 4428)*(3*f + 1)
Find r such that 16*r**5 + 12956*r**4 + 22568*r**3 - 45236*r**2 + 9696*r = 0.
-808, -3, 0, 1/4, 1
Determine q so that 36*q**4 + 442236*q**3 + 1357775029*q**2 - 2263879790*q + 943411225 = 0.
-6143, 5/6
Factor -f**2 + 1766*f + 8855.
-(f - 1771)*(f + 5)
Let -l**3/3 + 17*l**2/3 + 163*l + 429 = 0. What is l?
-13, -3, 33
Solve 15*f**3/2 - 42*f**2 + 123*f/2 - 27 = 0 for f.
1, 18/5
Factor 2*w**3 + 117554*w**2 + 1727309086*w - 1727426642.
2*(w - 1)*(w + 29389)**2
Find x such that 2*x**2/7 - 10560*x/7 - 10562/7 = 0.
-1, 5281
Suppose 2*h**4/13 - 784*h**3/13 + 5402*h**2/13 - 4620*h/13 = 0. Calculate h.
0, 1, 6, 385
Factor -425*w**2/3 + 992*w - 7/3.
-(w - 7)*(425*w - 1)/3
Factor -2*k**5/5 - 902*k**4/5 - 1764*k**3.
-2*k**3*(k + 10)*(k + 441)/5
Factor 5*d**2 - 1271450*d + 80829255125.
5*(d - 127145)**2
Solve -5*a**5 - 940*a**4 + 4855*a**3 + 5790*a**2 = 0.
-193, -1, 0, 6
Suppose 2*s**2/9 - 80552*s/9 + 811078088/9 = 0. Calculate s.
20138
Determine d, given that 2*d**4 + 5936*d**3 + 2686368*d**2 - 2549725696*d + 369002350592 = 0.
-1732, 248
Determine r, given that -r**3/6 + 1943*r**2/6 - 12538*r/3 - 13510/3 = 0.
-1, 14, 1930
Solve -55*q**5 - 830820*q**4 - 1510435*q**3 - 528630*q**2 + 151040*q = 0.
-15104, -1, 0, 2/11
Factor 11*n**2 - 1223*n - 2490.
(n + 2)*(11*n - 1245)
Factor u**2/2 - 545*u/2 - 547.
(u - 547)*(u + 2)/2
Let -4*p**4 + 1808*p**3 - 10748*p**2 + 19648*p - 10704 = 0. Calculate p.
1, 2, 3, 446
Factor y**4 - 121*y**3 - 750*y**2 - 1516*y - 1016.
(y - 127)*(y + 2)**3
Factor -5*i**3 - 810*i**2 - 3175*i - 2370.
-5*(i + 1)*(i + 3)*(i + 158)
Factor b**2 + 82487*b + 164970.
(b + 2)*(b + 82485)
Suppose 2*s**4/5 - 58*s**3/5 + 246*s**2/5 + 674*s/5 + 368/5 = 0. Calculate s.
-1, 8, 23
Let -f**3 + 97*f**2 - 1071*f - 18225 = 0. Calculate f.
-9, 25, 81
Determine z, given that 2*z**2 - 502*z - 15012 = 0.
-27, 278
Solve 5*c**4 + 5045*c**3 + 1270045*c**2 - 1305425*c - 7650750 = 0.
-505, -2, 3
Suppose 6*z**4/11 + 18600*z**3/11 + 14377752*z**2/11 - 57734400*z/11 + 57808896/11 = 0. What is z?
-1552, 2
Solve -2*s**4 + 37176*s**3 - 172347452*s**2 - 3805149480*s - 20953092050 = 0.
-11, 9305
Find m, given that -2385*m**5 + 283*m**4 + 7153*m**3 + 3921*m**2 - 560*m + 4 = 0.
-1, 2/265, 1/9, 2
Factor f**2/2 + 862*f - 26085/2.
(f - 15)*(f + 1739)/2
Factor 3*k**2/2 - 793*k/6 + 44/3.
(k - 88)*(9*k - 1)/6
What is y in y**3 - 636*y**2 + 14075*y + 14712 = 0?
-1, 24, 613
Suppose i**5/5 - 2*i**4/5 - 83*i**3/5 + 548*i**2/5 - 1168*i/5 + 704/5 = 0. What is i?
-11, 1, 4
Factor -1681*y**2/7 - 677484*y/7 - 68260644/7.
-(41*y + 8262)**2/7
Solve -5*q**2 + 130*q + 46200 = 0 for q.
-84, 110
Factor -y**3 - 3709*y**2 + 138566*y - 134856.
-(y - 36)*(y - 1)*(y + 3746)
Determine f so that f**5/10 + 19*f**4/10 + 71*f**3/10 - 139*f**2/10 - 66*f - 234/5 = 0.
-13, -6, -2, -1, 3
Factor -5*o**3 + 750*o**2 + 7875*o + 20000.
-5*(o - 160)*(o + 5)**2
Factor 2*c**2/17 - 618*c/17 - 13160/17.
2*(c - 329)*(c + 20)/17
Solve -5*z**2 + 53615*z - 107210 = 0 for z.
2, 10721
Suppose -18*q**3/7 + 2164*q**2/7 + 1698*q/7 - 484/7 = 0. What is q?
-1, 2/9, 121
What is a in 2*a**2 - 2028*a - 357102 = 0?
-153, 1167
Suppose -2*z**2 - 1090*z - 93732 = 0. What is z?
-438, -107
Suppose -4*m**3 - 296*m**2 + 4732*m - 17248 = 0. Calculate m.
-88, 7
Let 422*q**4/3 + 10976*q**3/3 - 67838*q**2/3 - 79136*q/3 - 248 = 0. Calculate q.
-31, 