
Find x such that x**4 - 186*x**3 + 4080*x**2 - 31616*x + 82944 = 0.
8, 162
Determine m so that 4*m**4 - 2480*m**3 + 379408*m**2 + 1547520*m + 1557504 = 0.
-2, 312
Factor -3*h**2 - 1272*h + 3843.
-3*(h - 3)*(h + 427)
Find u such that 4*u**4 - 576*u**3 + 22036*u**2 - 271800*u + 460000 = 0.
2, 25, 92
What is i in 14*i**4/9 - 5302*i**3/9 - 18710*i**2/3 + 44302*i/9 + 17116/9 = 0?
-11, -2/7, 1, 389
Factor 2*s**2/13 - 2228*s/13 + 620498/13.
2*(s - 557)**2/13
Factor -2*g**3 + 618*g**2 - 27748*g + 53040.
-2*(g - 255)*(g - 52)*(g - 2)
Find u such that -5*u**2 - 326350*u - 5325216125 = 0.
-32635
Determine j, given that -140*j**3 + 2444*j**2 - 1040*j - 816 = 0.
-2/5, 6/7, 17
Factor -i**2 - 294*i - 18245.
-(i + 89)*(i + 205)
What is a in 4*a**4 + 2488*a**3 + 4908*a**2 - 32200*a + 24800 = 0?
-620, -5, 1, 2
Determine a so that -2*a**4/9 + 694*a**3/9 + 5036*a**2/9 - 28408*a/9 + 10384/3 = 0.
-11, 2, 354
Determine m so that 3*m**4/2 + 123*m**3 + 3255*m**2/2 + 2892*m + 1386 = 0.
-66, -14, -1
Factor 5*g**3 - 9150*g**2 - 157085*g + 166230.
5*(g - 1847)*(g - 1)*(g + 18)
Find r, given that 2*r**2/7 + 74*r/7 - 19920/7 = 0.
-120, 83
Let m**5/3 - 32*m**4/3 + 139*m**3/3 + 1140*m**2 - 6528*m - 27648 = 0. What is m?
-9, -3, 12, 16
Solve 2*r**3/3 - 4154*r**2/3 + 8302*r/3 - 4150/3 = 0 for r.
1, 2075
Suppose -u**3/2 - 143*u**2/2 + 10985*u/2 - 31641/2 = 0. Calculate u.
-199, 3, 53
Solve -q**3 - 78*q**2 + 3697*q + 3774 = 0 for q.
-111, -1, 34
Solve 2*y**5/7 - 162*y**4/7 - 1758*y**3/7 - 5582*y**2/7 - 780*y = 0 for y.
-5, -3, -2, 0, 91
Solve -2*r**5/3 + 776*r**4/3 + 6296*r**3/3 + 15808*r**2/3 + 4224*r = 0 for r.
-4, -2, 0, 396
Determine y so that 3*y**3/5 - 3741*y**2/5 - 559107*y/5 - 3956391 = 0.
-69, 1385
Factor q**3 - 5*q**2.
q**2*(q - 5)
Let y**2 + 6303*y/2 - 34727/2 = 0. What is y?
-3157, 11/2
Find i, given that 2*i**4/15 - 34*i**3/15 + 54*i**2/5 - 46*i/3 + 20/3 = 0.
1, 5, 10
Factor -v**2/4 - 18*v - 207/4.
-(v + 3)*(v + 69)/4
Factor 5*i**2 - 1135*i + 12900.
5*(i - 215)*(i - 12)
Suppose 3*g**5/4 - 285*g**4/2 + 972*g**3 - 4137*g**2/2 + 7149*g/4 - 549 = 0. What is g?
1, 4, 183
What is g in -2*g**5/3 - 6*g**4 + 18*g**3 + 98*g**2/3 - 44*g = 0?
-11, -2, 0, 1, 3
Solve -2*j**2/5 + 168*j - 1672/5 = 0.
2, 418
Factor 3*s**2 - 968736*s + 78204119808.
3*(s - 161456)**2
Factor 3*o**2/4 - 105*o - 23400.
3*(o - 260)*(o + 120)/4
Let -27*g**5/8 + 501*g**4/2 - 5181*g**3 + 22332*g**2 + 159786*g + 184680 = 0. What is g?
-2, 18, 380/9
Let 5*m**3 - 11170*m**2 - 33555*m = 0. What is m?
-3, 0, 2237
What is h in 28*h**4/9 - 1007*h**3/9 + 6152*h**2/9 + 16853*h/9 + 66 = 0?
-2, -1/28, 11, 27
Let -5*t**4 + 495*t**3 - 15685*t**2 + 151125*t + 167310 = 0. What is t?
-1, 22, 39
Solve 442*d**5 + 764*d**4 - 2000*d**3 - 3040*d**2 + 928*d - 64 = 0 for d.
-2, 2/17, 2/13, 2
Determine c so that 640*c**5 + 16544*c**4 - 20040*c**3 - 4442*c**2 + 2558*c + 540 = 0.
-27, -1/4, 2/5, 5/4
Factor 3*i**4 + 19122*i**3 + 30470907*i**2.
3*i**2*(i + 3187)**2
Let -9*t**4/7 - 237*t**3/7 + 1593*t**2/7 - 1347*t/7 - 3168/7 = 0. What is t?
-32, -1, 3, 11/3
Factor -3*x**2 - 900054*x - 67508100243.
-3*(x + 150009)**2
Factor -u**3/5 + 397*u**2 + 21998*u/5 - 83832/5.
-(u - 1996)*(u - 3)*(u + 14)/5
Factor -3*j**2 + 1647*j + 201468.
-3*(j - 652)*(j + 103)
Solve -12*b**4/5 - 1809*b**3/5 - 83007*b**2/5 - 208767*b + 53235 = 0.
-65, -21, 1/4
Find w such that 2*w**4/23 + 2704*w**3/23 + 2698*w**2/23 - 5404*w/23 = 0.
-1351, -2, 0, 1
Factor -2*k**3/3 + 11086*k**2/3 - 1222816*k/3 + 34063232/3.
-2*(k - 5431)*(k - 56)**2/3
Factor 5*r**3 - 410*r**2 + 8505*r - 8100.
5*(r - 45)*(r - 36)*(r - 1)
Factor -1996*s**2 - 8020*s - 144.
-4*(s + 4)*(499*s + 9)
Factor g**5/5 + 117*g**4/5 - 357*g**3/5 + 359*g**2/5 - 24*g.
g*(g - 1)**3*(g + 120)/5
Suppose -2*c**5 + 1332*c**4 + 37480*c**3 - 40140*c**2 - 37478*c + 38808 = 0. What is c?
-28, -1, 1, 693
Factor z**4 - 49780*z**3 + 619412532*z**2 + 2478247520*z + 2478446656.
(z - 24892)**2*(z + 2)**2
Solve -8*y**5 - 1260*y**4 + 3224*y**3 + 3796*y**2 - 7080*y - 6400 = 0.
-160, -1, 2, 5/2
Solve -2*v**5 + 1186*v**4 - 171632*v**3 - 1240824*v**2 - 2865600*v - 2160000 = 0 for v.
-3, -2, 300
Factor -o**2 + 1894*o.
-o*(o - 1894)
Factor v**3/8 - 129*v**2/8 + 1755*v/4.
v*(v - 90)*(v - 39)/8
Factor -5*m**5 + 19345*m**4 - 18759720*m**3 + 93315600*m**2.
-5*m**2*(m - 1932)**2*(m - 5)
Determine a so that a**2/8 - 2413*a/2 + 5822569/2 = 0.
4826
Let 5*s**3 - 235*s**2 - 1725*s + 7155 = 0. Calculate s.
-9, 3, 53
Determine x so that 5*x**5 - 455*x**4 + 12990*x**3 - 113620*x**2 + 101080*x = 0.
0, 1, 14, 38
Determine y, given that -4*y**4/7 + 812*y**3 + 12*y**2/7 - 17060*y/7 + 1624 = 0.
-2, 1, 1421
Factor 4*m**2 - 19124*m - 38264.
4*(m - 4783)*(m + 2)
Factor x**3 - 551*x**2 + 85935*x - 2666025.
(x - 255)**2*(x - 41)
Factor 2*z**2/7 - 1345548*z/7 + 226312427538/7.
2*(z - 336387)**2/7
Suppose -5*x**3 - 1795*x**2 - 31970*x + 112200 = 0. Calculate x.
-340, -22, 3
Solve -22*v**3/5 - 18962*v**2/15 - 24616*v/15 - 1144/3 = 0 for v.
-286, -1, -10/33
Suppose -9*x**4 - 1551*x**3 + 14697*x**2 + 1551*x - 14688 = 0. What is x?
-544/3, -1, 1, 9
Factor -5*x**4/6 + 1145*x**3/6 - 19745*x**2/2 + 295845*x/2.
-5*x*(x - 163)*(x - 33)**2/6
Determine s so that -3*s**3 + 435576*s**2 - 15812715303*s + 158083598430 = 0.
10, 72591
Determine h, given that -5*h**5 + 35*h**4 + 5685*h**3 - 17215*h**2 + 17260*h - 5760 = 0.
-32, 1, 36
Let -2*d**2/7 - 520080*d/7 - 33810400800/7 = 0. What is d?
-130020
Factor z**2 - 50392*z + 634838416.
(z - 25196)**2
Solve -y**4/4 + 67*y**3/4 - 288*y**2 + 239*y + 544 = 0 for y.
-1, 2, 32, 34
Suppose -4*f**5 - 624*f**4 - 26464*f**3 - 149376*f**2 + 935360*f - 1051392 = 0. Calculate f.
-74, -12, 2
Let k**4/3 - 2798*k**3/3 + 6517*k**2 - 39082*k/3 + 22328/3 = 0. What is k?
1, 2, 4, 2791
Find p, given that -140290*p**2 + 5*p = 0.
0, 1/28058
Factor 3*p**3 + 8859*p**2.
3*p**2*(p + 2953)
Suppose -2*o**5/9 + 6*o**4 - 544*o**3/9 + 2624*o**2/9 - 2048*o/3 + 5632/9 = 0. What is o?
4, 11
Solve 4*b**3 - 2588*b**2 - 39784*b + 42368 = 0.
-16, 1, 662
Find d such that -358*d**2/15 + 5964*d/5 + 80/3 = 0.
-4/179, 50
Determine z, given that 2*z**4 - 46*z**3 + 42*z**2 + 846*z + 756 = 0.
-3, -1, 6, 21
Suppose 82*k**5/15 - 120*k**4 - 826*k**3/15 + 1080*k**2 + 264*k/5 = 0. What is k?
-3, -2/41, 0, 3, 22
Factor 4*n**3 + 10624*n**2 - 42544*n + 42560.
4*(n - 2)**2*(n + 2660)
Factor 2*t**2/13 + 786*t/13 - 26120.
2*(t - 260)*(t + 653)/13
Factor 3*v**2 - 164034*v + 2242262763.
3*(v - 27339)**2
Solve -4*q**3/5 - 64*q**2 + 3148*q/5 - 4984/5 = 0.
-89, 2, 7
Factor 2*f**2 - 2110*f + 92828.
2*(f - 1009)*(f - 46)
Factor -10*u**2/7 - 222256*u/7 + 88904/7.
-2*(u + 22226)*(5*u - 2)/7
Find f such that f**3/8 + 19*f**2 + 869*f/8 - 511/4 = 0.
-146, -7, 1
Solve p**2/3 + 4699*p/3 + 6260 = 0.
-4695, -4
Determine j so that 5*j**2/3 + 1415*j/3 - 5740/3 = 0.
-287, 4
Factor 5*m**2 - 218885*m - 218890.
5*(m - 43778)*(m + 1)
Factor -2*n**3/13 + 172*n**2/13 - 2640*n/13.
-2*n*(n - 66)*(n - 20)/13
Find g, given that 4*g**2/3 + 2608*g/3 - 5264 = 0.
-658, 6
Factor -8*t**3/7 - 1390*t**2/7 - 60204*t/7 + 15138/7.
-2*(t + 87)**2*(4*t - 1)/7
Solve -2*j**5 - 8*j**4 + 344*j**3 - 640*j**2 = 0 for j.
-16, 0, 2, 10
Factor -2*k**2 - 145564*k - 2648609762.
-2*(k + 36391)**2
Solve 2*i**5/11 + 730*i**4/11 - 14382*i**3/11 + 7322*i**2 - 39004*i/11 - 526848/11 = 0.
-384, -2, 7
Determine u, given that -u**2/5 - 1603*u/5 - 3202/5 = 0.
-1601, -2
Let -5*m**3/3 + 182920*m**2/3 - 557723075*m + 1115202270 = 0. Calculate m.
2, 18291
Factor 4*j**2 + 380*j - 49056.
4*(j - 73)*(j + 168)
Factor 4*o**3/5 + 288*o**2 + 132432*o/5 + 3628736/5.
4*(o + 62)**2*(o + 236)/5
Suppose 2*a**5/9 - 2074*a**4/9 - 4154*a**3/9 - 2078*a**2/9 = 0. Calculate a.
-1, 0, 1039
Determine y so that -49*y**2/4 - 974428*y - 19377753616 = 0.
-278408/7
Factor -5*x**3 - 635*x**2 + 2600*x - 2620.
-5*(x - 2)**2*(x + 131)
Factor 3*g**3/2 - 67977*g**2/2 - 1088784*g - 8713344.
3*(g - 22691)*(g + 16)**2/2
Solve 3*i**3/4 - 787*i**2/2 - 53997*i/4 - 4456 = 0 for i.
-32, -1/3, 557
Factor -g**3/2 - 12*g**2 - 23*g/2.
-g*(g + 1)*(g + 23)/2
Factor -118*m**2 + 11678*m + 396.
-2*(m - 99)*(59*m + 2)
Suppose 3*i**5/5 + 2109*i**4/5 - 8466*i**3/5 + 12714*i**2/5 - 8481*i/5 + 2121/5 = 0. Calculate i.
-707, 1
Factor -8*b**4 - 6344*b**3 - 1276586*b**2 - 7489092*b - 11148642.
-2*(b +