Suppose -20*f**4 - 15412*f**3 + 6556*f**2 + 299508*f + 277560 = 0. What is f?
-771, -18/5, -1, 5
Determine k so that 5*k**2 + 20212172*k + 8084868 = 0.
-4042434, -2/5
Let -5*w**3 + 11075980*w**2 - 22151945*w + 11075970 = 0. Calculate w.
1, 2215194
Suppose 3*r**4/7 + 249534*r**3/7 - 9*r**2/7 - 748596*r/7 + 499068/7 = 0. What is r?
-83178, -2, 1
Determine x, given that 81675*x**5/2 - 3023955*x**4/2 - 23975814*x**3 + 581898*x**2 - 3528*x = 0.
-12, 0, 2/165, 49
Determine l so that -2*l**5/3 + 182*l**4/3 + 3418*l**3/3 + 574*l**2 - 38520*l = 0.
-12, -9, 0, 5, 107
Determine h, given that 98*h**4/13 + 28266*h**3/13 + 2228234*h**2/13 + 16566366*h/13 - 190661428 = 0.
-157, -551/7, 26
Solve -a**5/3 + 845*a**4/3 - 66256*a**3 + 7264832*a**2/3 + 399300608*a/3 + 1219477504 = 0.
-16, 93, 392
Solve -4*w**3 + 538024*w**2 - 18099394020*w + 506361309552 = 0 for w.
28, 67239
Let 2*v**3/11 + 54568*v**2/11 - 3279480*v/11 + 49219200/11 = 0. What is v?
-27344, 30
Factor 26*k**2 + 16429110*k - 2527556.
2*(k + 631889)*(13*k - 2)
Factor 3*z**2/7 + 753336*z/7 - 2260035/7.
3*(z - 3)*(z + 251115)/7
Find j, given that 32*j**5 + 12164*j**4 + 1305240*j**3 + 26897476*j**2 - 85830272*j + 57615360 = 0.
-176, -31, 1, 15/8
Solve 2*c**2/5 + 24458*c/5 + 4645896/5 = 0 for c.
-12036, -193
Determine v, given that v**3 + 2677142*v**2 + 1791772322041*v = 0.
-1338571, 0
Let -2*z**3/3 + 123704906*z**2/3 + 494819648*z/3 + 494819656/3 = 0. What is z?
-2, 61852457
What is i in 2*i**2 + 538088*i + 7532840 = 0?
-269030, -14
Factor -n**3 + 429*n**2 - 42818*n.
-n*(n - 271)*(n - 158)
Solve -n**4/6 - 563731*n**3/6 - 281864*n**2 = 0 for n.
-563728, -3, 0
Suppose 3*p**5 - 8817*p**4 + 6578856*p**3 - 147727476*p**2 + 765275040*p = 0. Calculate p.
0, 8, 15, 1458
Factor -10*j**2 + 155532485*j + 77766245.
-5*(j - 15553249)*(2*j + 1)
Suppose -20*m**4 + 997668*m**3 + 16568136*m**2 - 66666880*m + 23952000 = 0. What is m?
-20, 2/5, 3, 49900
Factor 5*j**2/3 + 1998268*j/3 - 2797585/3.
(j + 399655)*(5*j - 7)/3
Factor 2*g**2 + 16176694*g - 16176696.
2*(g - 1)*(g + 8088348)
Solve -4*j**5/7 - 7232*j**4/7 - 505432*j**3/7 - 1356512*j**2 - 2500540*j - 1215200 = 0 for j.
-1736, -35, -1
Suppose -7*w**5/5 - 30*w**4 - 282*w**3/5 + 884*w**2/5 + 2049*w/5 + 1026/5 = 0. What is w?
-19, -3, -1, 18/7
Factor -10*m**3 - 803599*m**2 - 16144243640*m + 1614432400.
-(m + 40180)**2*(10*m - 1)
Factor -5*j**2 - 27925*j - 26751980.
-5*(j + 1228)*(j + 4357)
Suppose -59*f**4/5 - 26613*f**3/5 - 2906669*f**2/5 + 21461193*f/5 + 1468348/5 = 0. Calculate f.
-229, -4/59, 7
Suppose -4*a**2/5 + 40984*a/5 + 1068288/5 = 0. Calculate a.
-26, 10272
Find a, given that -a**5 + 40*a**4 + 693*a**3 + 80*a**2 - 15956*a + 25440 = 0.
-10, -8, 2, 3, 53
Suppose 3*a**5 + 2457*a**4 + 273861*a**3 + 8251551*a**2 = 0. Calculate a.
-693, -63, 0
Factor -o**3/10 + 621*o**2/2 + 2591556*o/5 + 891629882/5.
-(o - 4381)*(o + 638)**2/10
Find l such that 4*l**3 + 3520*l**2 - 890668*l + 50100824 = 0.
-1094, 107
Solve -4*g**3/3 + 8432*g**2/3 + 16940*g/3 - 42200 = 0 for g.
-5, 3, 2110
Factor -d**2/3 - 824*d/3 + 476827.
-(d - 853)*(d + 1677)/3
Factor -d**3 + 1097*d**2 - 115522*d.
-d*(d - 979)*(d - 118)
Factor b**2/5 - 8144618*b/5 - 8144619/5.
(b - 8144619)*(b + 1)/5
Factor -3*w**2 + 4256007*w + 4256010.
-3*(w - 1418670)*(w + 1)
Solve 2*s**2/3 + 240928*s - 190230530/3 = 0.
-361655, 263
Find o, given that -27*o**4/7 + 25250814*o**3/7 + 16833948*o**2/7 - 56112984*o/7 + 22445184/7 = 0.
-2, 2/3, 935216
Let 2249*n**3/7 + 13626*n**2/7 + 21033*n/7 + 1188/7 = 0. Calculate n.
-3, -132/2249
Determine x, given that -54*x**5/7 - 28482*x**4/7 - 153266*x**3/7 + 105578*x**2/7 + 69960*x/7 + 6264/7 = 0.
-522, -6, -1/3, -1/9, 1
Factor 2*v**3 + 2594*v**2 + 1076406*v + 139528998.
2*(v + 259)*(v + 519)**2
Find d such that d**2 + 12842*d/3 - 1820216/3 = 0.
-4418, 412/3
Solve -z**4/5 + 122801*z**3/5 + 835278*z**2 = 0 for z.
-34, 0, 122835
What is b in -b**3 + 232267*b**2 + 2322754*b + 3716432 = 0?
-8, -2, 232277
Factor -4*u**3 - 3324*u**2 - 540392*u - 2619360.
-4*(u + 5)*(u + 214)*(u + 612)
Find g, given that 18*g**5 + 98175*g**4 - 8023422*g**3 + 166042365*g**2 - 134163600*g + 26568000 = 0.
-5535, 1/3, 1/2, 40
Suppose 164775*v**4 + 711490*v**3 + 630253*v**2/3 + 6296*v/3 + 16/3 = 0. What is v?
-4, -4/13, -1/195
Suppose 2*g**4 - 2794*g**3 + 333694*g**2 + 336490*g = 0. What is g?
-1, 0, 133, 1265
Determine k so that 2*k**3 - 4796*k**2/5 - 61086*k/5 + 38376/5 = 0.
-13, 3/5, 492
Let -3*y**4 - 273*y**3 + 993*y**2 + 38505*y - 181350 = 0. What is y?
-93, -13, 5, 10
Find r such that -3*r**2 - 29011866*r - 70140697400163 = 0.
-4835311
Factor -5*r**3 + 71125*r**2 - 14025000*r.
-5*r*(r - 14025)*(r - 200)
Suppose -6*t**4/7 + 619874*t**3/7 - 826478*t**2/7 - 1033114*t/7 + 413244/7 = 0. Calculate t.
-1, 1/3, 2, 103311
Find y such that 2*y**5/5 - 142*y**4/5 + 262*y**3/5 + 1006*y**2/5 - 2784*y/5 + 1656/5 = 0.
-3, 1, 2, 69
Factor -n**3/5 - 177394*n**2/5 - 1573325120*n + 9441228000.
-(n - 6)*(n + 88700)**2/5
Determine i, given that 4*i**5 - 32164*i**4 - 1626600*i**3 + 68056400*i**2 - 744692000*i + 2589120000 = 0.
-80, 10, 8091
Suppose 3*j**2 - 16509*j/2 + 368415/2 = 0. Calculate j.
45/2, 2729
Factor 250*f**3 - 385101100*f**2 + 148302780200960*f + 59321173696576.
2*(5*f - 3851012)**2*(5*f + 2)
Find l such that -81*l**4 + 2718801*l**3 + 42312632*l**2 - 19208396*l + 2149184 = 0.
-16, 2/9, 33581
Find o, given that -2*o**3/7 - 157210*o**2/7 - 2514976*o/7 - 1437056 = 0.
-78589, -8
Factor -4*a**2 + 48160*a - 22283824.
-4*(a - 11558)*(a - 482)
Suppose 5*b**3 - 775755*b**2 - 4654665*b - 6982065 = 0. What is b?
-3, 155157
Determine z, given that -2*z**3/13 + 1402*z**2/13 - 197228*z/13 + 579120/13 = 0.
3, 190, 508
Suppose -58*a**4 - 22264*a**3 - 189662*a**2 + 1157584*a - 156000 = 0. What is a?
-375, -13, 4/29, 4
Factor -2*w**3 + 31974*w**2 - 3435696*w + 92606328.
-2*(w - 15879)*(w - 54)**2
Factor 3*t**2/2 - 41005071*t + 560471949238347/2.
3*(t - 13668357)**2/2
Factor -2*a**5 - 12374*a**4 - 418982*a**3 - 3556434*a**2.
-2*a**2*(a + 17)**2*(a + 6153)
Factor a**3/5 - 647*a**2 - 3706788*a/5 + 22356972/5.
(a - 4131)*(a - 6)*(a + 902)/5
Find y, given that 3*y**5 - 93951*y**4 + 375747*y**3 + 281859*y**2 - 1315170*y + 751512 = 0.
-2, 1, 4, 31313
What is b in 2*b**2/9 + 10610*b/9 + 4282300/3 = 0?
-3435, -1870
Suppose 2*w**2 + 80906*w + 1213140 = 0. What is w?
-40438, -15
Find u such that -2*u**4/11 + 393464*u**3/11 + 393474*u**2/11 - 1573856*u/11 - 1573864/11 = 0.
-2, -1, 2, 196733
Factor y**2/6 - 13932757*y/3 + 194121717621049/6.
(y - 13932757)**2/6
Determine s so that 7*s**3 - 130775370*s**2 - 37364392*s = 0.
-2/7, 0, 18682196
Determine t, given that -t**2 + 36887*t + 40262828 = 0.
-1061, 37948
Let b**3/3 - 32452*b**2/3 - 11403476*b = 0. Calculate b.
-1022, 0, 33474
Let -2*u**5 - 4881*u**4 - 3003468*u**3 - 30971554*u**2 + 17741430*u + 16238475 = 0. Calculate u.
-1215, -11, -1/2, 1
Determine r so that 222*r**3 - 32752*r**2 - 81992*r - 31200 = 0.
-2, -52/111, 150
Determine j so that -3*j**2 - 28651389*j = 0.
-9550463, 0
Solve -32*u**4/9 - 78*u**3 + 13900*u**2/9 - 2834*u + 1540/9 = 0.
-35, 1/16, 2, 11
Suppose -2*b**5/13 - 178*b**4/13 + 49168*b**3/13 - 1510768*b**2/13 - 26946080*b/13 + 59544800/13 = 0. What is b?
-217, -14, 2, 70
Solve -2000*a**3 + 58935800*a**2 + 123771795*a + 64981350 = 0.
-21/20, 29470
Let 4*w**2 - 3373392*w - 40481280 = 0. Calculate w.
-12, 843360
Factor 2*o**2/11 - 2551580*o/11.
2*o*(o - 1275790)/11
Find i such that 4*i**5/3 + 677884*i**4/3 + 28713301276*i**3/3 - 603186774764*i**2/3 + 3878031197440*i/3 - 7900072967600/3 = 0.
-84746, 5, 11
Find p, given that 32*p**5 - 7664*p**4 + 672194*p**3 - 25544112*p**2 + 355484448*p = 0.
0, 44, 303/4
Let 2*n**2/3 + 446408204*n/3 + 24910035574813202/3 = 0. Calculate n.
-111602051
Factor 4*w**3/5 + 683420*w**2 - 27336992*w/5 + 54674112/5.
4*(w - 4)**2*(w + 854283)/5
Find z such that 3*z**4 - 8166*z**3 + 1888011*z**2 - 18269160*z + 45164400 = 0.
5, 244, 2468
Factor 71*u**2 - 309*u/4 - 1629/4.
(u - 3)*(284*u + 543)/4
Solve 5*t**3 + 8290*t**2 + 2090945*t + 2082660 = 0 for t.
-1348, -309, -1
Solve 5*z**2 - 10822860*z + 10822855 = 0 for z.
1, 2164571
Let 2*i**5 + 4988*i**4 + 3414066*i**3 + 365574680*i**2 - 4483386400*i - 4845552000 = 0. Calculate i.
-1180, -145, -1, 12
Factor -3*g**3 + 313