36*a = 0. Calculate a.
-57, -2, 0, 3, 136
Solve -305*v**4 - 2095*v**3 + 27780*v**2 - 25380*v = 0 for v.
-846/61, 0, 1, 6
Find y, given that 2*y**3/9 + 1036*y**2/9 + 51854*y/9 + 16940/3 = 0.
-462, -55, -1
Let -4*l**3 + 10676*l**2 - 6661784*l - 88416224 = 0. What is l?
-13, 1028, 1654
Factor 2*a**2/5 + 151352762*a/5.
2*a*(a + 75676381)/5
Find k such that -2*k**3 - 27563*k**2 - 454345*k - 1376500 = 0.
-13765, -25/2, -4
Solve h**4/3 - 10097*h**3/3 - 30505*h**2/3 + 2071061*h/3 - 1888700 = 0.
-17, 3, 11, 10100
Determine v, given that 12*v**2 + 39124*v - 22357696 = 0.
-11269/3, 496
Factor -j**2/5 - 19842*j/5 - 355536.
-(j + 90)*(j + 19752)/5
Find d such that 27*d**5 - 711456*d**4 - 6247137*d**3 + 1420470*d**2 + 76863492*d - 17080632 = 0.
-6, 2/9, 3, 26359
Find l, given that 21*l**2/4 - 15003*l/4 - 83787/2 = 0.
-11, 5078/7
What is s in -3*s**3 + 1252611*s**2 - 130761001368*s + 1699681333116 = 0?
13, 208762
Suppose 4*n**4 - 7509780*n**3 - 52568624*n**2 - 60078528*n + 120156928 = 0. Calculate n.
-4, 1, 1877452
Determine o so that 2*o**3 - 5590822*o**2 - 11181650*o - 5590826 = 0.
-1, 2795413
Factor -947040*l**2 + 605*l.
-5*l*(189408*l - 121)
Solve -3*w**2 + 98799*w - 296370 = 0 for w.
3, 32930
Factor -2*r**2/5 - 1185608*r/5 - 2371208/5.
-2*(r + 2)*(r + 592802)/5
Solve -y**4/2 - 2037*y**3 + 69517*y**2/2 - 61365*y = 0.
-4091, 0, 2, 15
Factor 2*t**3/7 + 78156*t**2/7 + 720098802*t/7 - 860648502744/7.
2*(t - 1068)*(t + 20073)**2/7
What is g in -g**3 + 2091*g**2 + 72285*g - 74375 = 0?
-35, 1, 2125
Let 5*x**2 + 129495*x + 221787100 = 0. Calculate x.
-24055, -1844
Factor -530*d**2 + 285168*d - 15064.
-2*(d - 538)*(265*d - 14)
Determine r, given that -3*r**2 + 31131*r - 45805650 = 0.
1775, 8602
Factor 3*h**3 - 8637531*h**2 + 6217249466760*h - 6217240829232.
3*(h - 1439588)**2*(h - 1)
Let 3*w**5 + 7323693*w**4 + 58589424*w**3 + 175768152*w**2 + 234357456*w + 117178704 = 0. What is w?
-2441223, -2
Factor n**2/5 - 2333196*n/5 - 6999597/5.
(n - 2333199)*(n + 3)/5
Solve -2*t**3/11 - 284*t**2/11 + 236318*t/11 - 3019744/11 = 0.
-427, 13, 272
Solve 23426*y**3/3 - 15620*y**2 + 7814*y - 8/3 = 0.
4/11713, 1
Let 4*m**3/3 + 5437904*m**2 + 5544514107904*m - 66534430314496/3 = 0. What is m?
-2039216, 4
Suppose -4*x**2 + 139852*x - 102237408 = 0. What is x?
747, 34216
Factor -3*l**3 + 1351038*l**2 - 13510155*l + 33775200.
-3*(l - 450336)*(l - 5)**2
Determine y so that -y**2 - 235871*y + 11324112 = 0.
-235919, 48
Suppose 6*q**3 + 6645*q**2 - 1907847*q - 955584 = 0. Calculate q.
-1344, -1/2, 237
Determine r so that -14*r**4/19 + 30754418*r**3/19 - 22519864000656*r**2/19 + 5496710602999318912*r/19 - 785243912268073984/19 = 0.
1/7, 732248
Factor 5*v**2 + 66278495*v - 132557010.
5*(v - 2)*(v + 13255701)
Factor 3*c**3 + 2457*c**2 - 75762*c + 550152.
3*(c - 18)*(c - 12)*(c + 849)
Let -2*f**3/7 - 20520*f**2/7 - 32218*f - 491952/7 = 0. Calculate f.
-10249, -8, -3
Factor 5147200*t**4 - 3875120*t**3 + 976140*t**2 - 83185*t + 230.
5*(4*t - 1)**3*(16085*t - 46)
Suppose 4*n**3/5 - 57872*n**2 + 1047482660*n - 31372416600 = 0. Calculate n.
30, 36155
Suppose -p**4/10 - 449*p**3/10 + 469217*p**2/10 + 93933*p/2 = 0. Calculate p.
-945, -1, 0, 497
Determine c so that 125*c**4/12 - 2456736025*c**3/12 + 491347185*c**2/2 - 294808307*c/3 + 39307774/3 = 0.
2/5, 19653887
Solve -3*p**2/2 + 199151199*p/2 - 199151193 = 0 for p.
2, 66383731
Suppose a**3/4 - 15747*a**2/4 - a + 15747 = 0. What is a?
-2, 2, 15747
Factor m**2/2 + 526155*m + 3156921/2.
(m + 3)*(m + 1052307)/2
Let 3*w**4 - 2315757*w**3 - 18526233*w**2 - 11578947*w + 32420934 = 0. What is w?
-7, -2, 1, 771927
Find l such that -3*l**4/5 + 68286*l**3/5 + 68304*l**2/5 - 341454*l/5 + 204867/5 = 0.
-3, 1, 22763
Let 32*b**5/3 + 1090*b**4/3 + 1036*b**3 + 2174*b**2/3 + 124*b/3 = 0. What is b?
-31, -2, -1, -1/16, 0
Factor 5*t**2/4 + 368620*t + 184231875/4.
5*(t + 125)*(t + 294771)/4
Factor -i**4 - 24965*i**3 - 374325*i**2 - 1871375*i - 3118750.
-(i + 5)**3*(i + 24950)
Find d, given that 10*d**4 + 428*d**3 + 5682*d**2 + 18616*d - 63544 = 0.
-94/5, -13, 2
Solve -2*j**5 + 512*j**4 + 6474*j**3 - 10072*j**2 - 314624*j - 720384 = 0.
-8, -3, 7, 268
Suppose -2*a**2 - 7354*a - 6149652 = 0. What is a?
-2391, -1286
Factor -3*x**4/2 + 2049*x**3/2 + 758205*x**2 + 139584918*x + 8103365364.
-3*(x - 1181)*(x + 166)**3/2
Factor 2*f**4/9 + 198320*f**3/9 + 4918137356*f**2/9 + 9830920720*f + 44231112738.
2*(f + 9)**2*(f + 49571)**2/9
Solve 4*i**2/9 - 7640*i/9 - 18030236/9 = 0 for i.
-1373, 3283
Factor -3*w**2 + 65922138*w - 362144023207587.
-3*(w - 10987023)**2
What is s in -2*s**5/17 - 5378*s**4/17 + 124470*s**3/17 - 764350*s**2/17 + 1176812*s/17 - 531552/17 = 0?
-2712, 1, 7, 14
Solve -b**2 - 9664*b - 5506048 = 0 for b.
-9056, -608
Factor o**4/3 - 554060*o**3/3 + 25565061626*o**2 + 13972291174660*o/3 + 635948078796121/3.
(o - 277121)**2*(o + 91)**2/3
Factor -i**2/8 - 3179913*i/4 - 10111846687569/8.
-(i + 3179913)**2/8
Suppose q**5 - 694*q**4 - 465874*q**3 - 64269824*q**2 - 1303629495*q + 2868076350 = 0. What is q?
-215, -27, 2, 1149
Determine p so that 4*p**3/3 - 246136*p**2 + 9598676*p/3 - 2953424 = 0.
1, 12, 184589
Factor 4*f**5 + 1072316*f**4 - 2144648*f**3.
4*f**3*(f - 2)*(f + 268081)
Let -32759914009*f**3/7 + 472678914413*f**2 - 109684191*f/7 + 909/7 = 0. Calculate f.
3/180997, 101
Solve -4*k**2 + 838132*k - 23464560 = 0.
28, 209505
Solve 3*r**3/5 - 540114*r**2/5 - 6481767*r/5 - 1188330 = 0 for r.
-11, -1, 180050
Factor -5*j**2 + 2213400*j + 84116420.
-5*(j - 442718)*(j + 38)
Determine n so that -5*n**3/8 - 8274*n**2 + 32541899*n/8 + 6513675/4 = 0.
-13713, -2/5, 475
Find t, given that 49629*t**2/5 + 9930*t + 21/5 = 0.
-1, -7/16543
Find t, given that -t**5/6 - 11017*t**4/6 + 1850*t**3 + 451880*t**2/3 + 1564688*t/3 + 484792 = 0.
-11018, -6, -2, 11
Find z, given that 4*z**3/3 - 233548*z**2/3 - 6236480*z = 0.
-80, 0, 58467
Factor 3*n**3 + 1653*n**2 + 23742*n - 202608.
3*(n - 6)*(n + 21)*(n + 536)
What is s in -3*s**2 - 21208083*s - 42416154 = 0?
-7069359, -2
Factor q**4/2 + 32129791*q**3/2 + 96389361*q**2 + 192778714*q + 128519140.
(q + 2)**3*(q + 32129785)/2
Let -360000*h**4 - 31983456*h**3 + 37370492*h**2 - 10663296*h - 105840 = 0. What is h?
-90, -6/625, 7/12
Solve 2*a**3/7 + 538*a**2 - 97972090*a/7 - 336020844078/7 = 0.
-4717, 7551
Solve 4*k**5 + 46496*k**4 + 7880332*k**3 + 15528224*k**2 - 7880336*k - 15574720 = 0.
-11452, -170, -2, -1, 1
Solve -2*q**3/11 + 195732*q**2/11 - 4744930368*q/11 - 2155350603712/11 = 0.
-446, 49156
Solve 2*d**5 + 85*d**4 - 6284*d**3 - 3499*d**2 + 25104*d + 12636 = 0 for d.
-81, -2, -1/2, 2, 39
Solve 9286936898*m**3/7 - 1328379642*m**2 + 11724294*m/7 - 3698/7 = 0 for m.
43/68143, 1
Solve 5*u**2 + 30467270*u - 30467275 = 0 for u.
-6093455, 1
Factor 5*x**4 - 25700*x**3 - 81652090*x**2 + 294718836300*x + 657536014701405.
5*(x - 4907)**2*(x + 2337)**2
Determine d so that d**5 + 1954*d**4 + 538086*d**3 - 2772772*d**2 - 9273127*d + 11505858 = 0.
-1621, -338, -3, 1, 7
Let -90325*u**5 + 2691735*u**4 - 13983800*u**3 + 26527160*u**2 - 17212560*u + 9520 = 0. What is u?
2/3613, 2, 119/5
Factor 2*a**3/7 + 40055990*a**2/7 + 200560271832016*a/7 - 200560311888008/7.
2*(a - 1)*(a + 10013998)**2/7
Factor -p**2/6 - 773*p/2 - 172458.
-(p + 603)*(p + 1716)/6
What is h in -h**3/3 - 206*h**2/3 - 7399*h/3 - 21190 = 0?
-163, -30, -13
Factor 2*q**2/5 + 66354*q + 15920352/5.
2*(q + 48)*(q + 165837)/5
Factor 2*x**2 + 1752132*x + 3504256.
2*(x + 2)*(x + 876064)
Let 1089*u**2 + 119616*u/5 - 3828/5 = 0. Calculate u.
-22, 58/1815
Factor 2*y**3 - 4846*y**2 + 67500*y - 115632.
2*(y - 2409)*(y - 12)*(y - 2)
Factor 2*z**2 - 8368632*z + 16737256.
2*(z - 4184314)*(z - 2)
Factor n**4/6 + 254767*n**3/3 + 64906733821*n**2/6 + 21635323174*n + 10817619126.
(n + 1)**2*(n + 254766)**2/6
Factor -5*v**4 - 2967685*v**3 + 8903085*v**2 - 8903095*v + 2967700.
-5*(v - 1)**3*(v + 593540)
Find x, given that 317*x**3 + 8821*x**2 - 8113*x - 1164225 = 0.
-19, 3225/317
Factor 2*b**2/13 - 533368*b/13 + 533366/13.
2*(b - 266683)*(b - 1)/13
Determine o so that -o**4/2 - 173*o**3 - 19709*o**2/2 + 617780*o - 6949800 = 0.
-243, -143, 20
Factor -3*n**3 - 2967945*n**2 + 5935902*n.
-3*n*(n - 2)*(n + 989317)
Factor 3*x**2/7 - 1139203680*x/7 + 108148752043795200/7.
3*(x - 189867280)**2/7
Solve -4*r**2 + 60328