
-5, -1, 285994
Find s, given that 3*s**4 + 93054*s**3 + 2603748*s**2 + 18222120*s = 0.
-30990, -14, 0
Find c, given that 101452*c**2/3 - 100910*c/3 - 542/3 = 0.
-271/50726, 1
Solve r**2 - 2994002*r + 2241011994001 = 0 for r.
1497001
Factor 2*q**2/21 + 338480*q/21 + 5753582/21.
2*(q + 17)*(q + 169223)/21
Factor -s**2/3 - 3195038*s - 7656200866083.
-(s + 4792557)**2/3
Factor 4*n**5 - 49300*n**4 + 204062004*n**3 - 289819954044*n**2 + 25480619304408*n.
4*n*(n - 4077)**3*(n - 94)
Solve -4*i**3 + 1397*i**2/5 - 1722*i - 1323/5 = 0 for i.
-3/20, 7, 63
Factor 5*d**4 + 170090*d**3 + 1446360305*d**2 - 2893230900*d + 1446700500.
5*(d - 1)**2*(d + 17010)**2
Determine f so that -6*f**5/5 - 952*f**4 + 177272*f**3/5 - 22260*f**2 - 177266*f/5 + 23212 = 0.
-829, -1, 2/3, 1, 35
Suppose 6*x**3/7 + 1352*x**2/7 + 22072*x/7 + 91520/7 = 0. What is x?
-208, -10, -22/3
Factor -f**3 - 2180952*f**2 - 8723795*f - 6542844.
-(f + 1)*(f + 3)*(f + 2180948)
Find i, given that -2*i**5/15 - 58018*i**4/5 + 2438084*i**3/15 + 5430408*i**2 - 413618832*i/5 = 0.
-87041, -22, 0, 18
Determine d so that -2*d**5/7 - 510*d**4 - 238800*d**3 - 70214000*d**2/7 - 916980000*d/7 - 3784500000/7 = 0.
-870, -25, -10
Factor 2*w**4 - 4493342*w**3 + 62906396*w**2.
2*w**2*(w - 2246657)*(w - 14)
Factor 264339*g**2 - 1586037*g + 18.
3*(g - 6)*(88113*g - 1)
Suppose -4*t**4/9 - 52180*t**3/9 - 144033832*t**2/9 + 48028672*t/3 = 0. What is t?
-9078, -3968, 0, 1
Let f**3 - 24099*f**2 + 72080*f + 5011968 = 0. What is f?
-13, 16, 24096
Factor -2*u**3/5 - 4207408*u**2/5 - 8414786*u - 21036940.
-2*(u + 5)**2*(u + 2103694)/5
Factor n**4 + 343*n**3 + 20816*n**2 - 243460*n.
n*(n - 10)*(n + 94)*(n + 259)
Factor 52*u**3 + 318*u**2 - 5508*u + 5138.
2*(u - 7)*(u - 1)*(26*u + 367)
What is a in -2*a**3/3 + 3932*a**2 - 5149320*a - 1962970416 = 0?
-306, 3102
Solve b**5/4 + 3603*b**4/2 + 5394951*b**3/2 - 1974730708*b**2 + 1192960349385*b/4 + 1208801297025/2 = 0 for b.
-3885, -2, 283
Determine b, given that -8*b**4 + 1826454*b**3 - 104235842978*b**2 - 1381423218240*b - 1277185548800 = 0.
-49/4, -1, 114160
Find m, given that -m**5/2 + 123*m**4/2 - 913*m**3/2 - 45711*m**2/2 - 44093*m - 21756 = 0.
-14, -1, 28, 111
Factor h**2/3 + 1626339*h.
h*(h + 4879017)/3
Factor 5*y**4 + 73991610*y**3 + 273738287477405*y**2 + 2737377325405800*y + 6843438689042000.
5*(y + 5)**2*(y + 7399156)**2
Determine r so that 3*r**3/5 + 11949918*r**2/5 + 11900045017227*r/5 = 0.
-1991653, 0
Factor 5*b**2 - 45093770*b - 45093775.
5*(b - 9018755)*(b + 1)
Determine r so that 2*r**2/5 - 5536*r/5 + 732310 = 0.
1093, 1675
Solve -192*k**5 + 491376*k**4 - 319719531*k**3 + 6786940770*k**2 + 7107151869*k = 0.
-1, 0, 23, 10149/8
Solve q**2/4 + 14306014*q + 204662036568196 = 0 for q.
-28612028
Let 4*w**4 - 1028*w**3 - 234064*w**2 - 5023792*w - 9119616 = 0. What is w?
-127, -22, -2, 408
Find n such that -4*n**4 + 13688*n**3 - 15084432*n**2 + 6836900256*n - 1108549653120 = 0.
534, 1820
Determine a, given that -2*a**4 - 188316*a**3 - 5912179848*a**2 - 61941816772164*a - 1668122779300182 = 0.
-31377, -27
Find b such that 5*b**2 + 628330*b - 4398555 = 0.
-125673, 7
Determine y so that -3*y**4/2 + 273*y**3/2 + 561*y**2/2 - 273*y/2 - 279 = 0.
-2, -1, 1, 93
Factor -2*k**2 + 4052208*k - 162085120.
-2*(k - 2026064)*(k - 40)
Suppose -3*x**4 - 421152*x**3 + 421161*x**2 + 842310*x = 0. What is x?
-140385, -1, 0, 2
Factor 1768*l**4/3 + 21479*l**3/3 + 29340*l**2 + 125776*l/3 + 16832/3.
(l + 4)**3*(1768*l + 263)/3
Determine o so that 3*o**4 + 29867424*o**3 = 0.
-9955808, 0
Let -45*w**2/8 + 11790579*w/4 + 786039 = 0. What is w?
-4/15, 524026
Let -3*g**3/2 - 99921*g**2/2 + 4056765*g + 4106724 = 0. What is g?
-33388, -1, 82
Factor -2*d**2 + 1090706*d - 103599020.
-2*(d - 545258)*(d - 95)
Suppose -2*m**3 + 53600*m**2 - 360935464*m + 24296394016 = 0. Calculate m.
68, 13366
Factor 3*h**4 + 28674*h**3 + 58106511*h**2 - 49749447348*h + 9030695820012.
3*(h - 339)**2*(h + 5118)**2
Determine d, given that 136*d**2/7 - 33092610*d/7 + 486656/7 = 0.
1/68, 243328
Determine f so that 10*f**3 + 4869666*f**2 + 7791432*f - 3895720 = 0.
-486965, -2, 2/5
Suppose 2*w**3/9 - 40864*w**2/9 + 40846*w = 0. Calculate w.
0, 9, 20423
Factor -2*x**2/5 - 6*x + 119448/5.
-2*(x - 237)*(x + 252)/5
Factor 2*q**3/9 - 429946*q**2/3 + 23106767022*q - 207959613362/9.
2*(q - 322459)**2*(q - 1)/9
Factor -2*k**4/11 + 172838*k**3/11 + 518526*k**2/11 + 518530*k/11 + 172844/11.
-2*(k - 86422)*(k + 1)**3/11
Suppose -4*x**5 - 39664*x**4 + 7925492*x**3 - 23419392*x**2 = 0. What is x?
-10112, 0, 3, 193
Factor 5*m**2 + 30810260*m + 47463606063380.
5*(m + 3081026)**2
Factor -5*l**2 - 51132730*l - 51132725.
-5*(l + 1)*(l + 10226545)
What is n in n**4/3 - 1673*n**3/3 + 212824*n**2 + 17975940*n - 466250400 = 0?
-88, 21, 870
Factor a**3/3 + 75256*a**2/3 + 752476*a/3 + 401312.
(a + 2)*(a + 8)*(a + 75246)/3
Factor -5*k**4 - 10883005*k**3 - 7895993777325*k**2 - 1909611879043994855*k - 3819192174199944370.
-5*(k + 2)*(k + 725533)**3
Solve 63*n**4 - 67868391*n**3 - 132505122*n**2 - 77564004*n - 12927336 = 0 for n.
-1, -2/3, -2/7, 1077278
Suppose 4*m**3 - 2484952*m**2 + 9939760*m - 9939744 = 0. Calculate m.
2, 621234
Determine j, given that 2*j**4 - 94*j**3 + 1456*j**2 - 8360*j + 11616 = 0.
2, 11, 12, 22
Determine y, given that 4*y**5/3 + 91*y**4/6 - 460*y**3 + 15515*y**2/6 - 14419*y/3 + 2664 = 0.
-27, 1, 2, 37/8, 8
Factor 628*r**2 - 90420*r + 351632.
4*(r - 4)*(157*r - 21977)
Let u**4/3 - 140*u**3 - 30077*u**2/3 - 144760*u - 404624/3 = 0. What is u?
-44, -19, -1, 484
Find b, given that 2*b**5/3 + 512*b**4 + 414814*b**3/3 + 14768160*b**2 + 447782400*b + 433152000 = 0.
-240, -47, -1
Factor j**2/8 - 86516675*j/4 + 7485135053055625/8.
(j - 86516675)**2/8
Factor l**2/9 + 3278777*l/9 - 1092926/3.
(l - 1)*(l + 3278778)/9
Determine k so that -4*k**4/9 + 187976*k**3/9 - 732939484*k**2/3 - 226220361248*k/9 - 224021354816/9 = 0.
-101, -1, 23548
Solve -4*a**5/7 + 6836*a**4/7 + 62100*a**3/7 - 433316*a**2/7 + 653008*a/7 - 41232 = 0 for a.
-14, 1, 3, 1718
Solve 2*p**3/15 + 201752*p**2/5 + 403494*p + 3026180/3 = 0.
-302618, -5
Let 2*d**2/17 - 7972*d/17 + 152418 = 0. Calculate d.
357, 3629
Factor 2*r**2/7 + 7232*r + 910584/7.
2*(r + 18)*(r + 25294)/7
Factor -q**3 + 616386*q**2 - 616385*q.
-q*(q - 616385)*(q - 1)
Suppose -2*o**4 - 5446*o**3 + 49220*o**2 + 120208*o = 0. What is o?
-2732, -2, 0, 11
Suppose -12*p**3 + 3223088*p**2 + 7520596*p + 2148744 = 0. What is p?
-2, -1/3, 268593
Find s, given that -195*s**3 + 1982631*s**2 - 5038864248*s - 3334270224 = 0.
-43/65, 5084
Solve t**4/2 - 458*t**3 + 12247*t**2/2 + 172236*t - 365310 = 0.
-15, 2, 27, 902
Solve 2*l**5/7 - 108304115*l**4/7 - 487368547*l**3/7 - 595672682*l**2/7 - 4*l/7 + 216608248/7 = 0 for l.
-2, -1, 1/2, 54152062
Determine s so that 2*s**5/9 - 230*s**4/9 - 2336*s**3 - 85240*s**2/9 + 1118272*s/9 + 394240/3 = 0.
-56, -10, -1, 6, 176
Factor -f**2 + 42252140*f - 446310833644900.
-(f - 21126070)**2
Suppose -2*j**5/5 - 380*j**4 + 19838*j**3/5 + 122072*j**2 - 408360*j - 1267200 = 0. What is j?
-960, -15, -2, 5, 22
Factor -4*f**3 + 770294524*f**2 - 37084603741671420*f + 37084602971376900.
-4*(f - 96286815)**2*(f - 1)
Suppose -a**5/3 - 1490*a**4/3 + 61127*a**3/3 - 37268*a**2 - 58140*a = 0. Calculate a.
-1530, -1, 0, 3, 38
Find u, given that 3*u**3/2 + 3243*u**2/2 - 80283*u - 2840040 = 0.
-1127, -24, 70
Factor -4*u**2/9 + 53124592*u/9 - 106249168/9.
-4*(u - 13281146)*(u - 2)/9
Factor -o**2/2 + 11193*o/2 - 211945.
-(o - 11155)*(o - 38)/2
Find j such that j**5/2 + 661*j**4/2 - 5106*j**3 - 24174*j**2 + 109512*j = 0.
-676, -6, 0, 3, 18
Let -5*r**5 + 60255*r**4 - 181503115*r**3 - 181623635*r**2 + 181503120*r + 181563380 = 0. Calculate r.
-1, 1, 6026
Factor 3*d**2/2 - 253080*d - 506166.
3*(d - 168722)*(d + 2)/2
Factor -a**3/7 - 2465921*a**2/7 - 217170051657*a + 1520192827521/7.
-(a - 1)*(a + 1232961)**2/7
Determine r so that -172*r**3 - 132260*r**2 - 650888*r + 30560 = 0.
-764, -5, 2/43
Suppose -5*u**3/4 + 4233635*u**2/4 + 48688185*u/2 - 25402500 = 0. Calculate u.
-24, 1, 846750
Let 27*o**2 + 1245225*o + 8023662 = 0. Calculate o.
-46113, -58/9
Find l, given that -5*l**4/2 + 450*l**3 - 31035*l**2/2 + 14180*l + 30150 = 0.
-1, 2, 45, 134
Determine s so that -2*s**3/5 - 1700*s**2 - 8699586*s/5 + 711142488/5 = 0.
-21