1, -3, -2/801
Find m, given that 60*m**2 + 100792*m - 13440 = 0.
-1680, 2/15
Factor -5*n**3 - 59580*n**2 + 119175*n - 59590.
-5*(n - 1)**2*(n + 11918)
Find h, given that -4*h**2 + 51524*h = 0.
0, 12881
Suppose 5*g**5 - 38895*g**4 + 75776895*g**3 - 527718665*g**2 - 1586653800*g + 2038634460 = 0. Calculate g.
-3, 1, 9, 3886
Factor -4*b**3 - 30120*b**2 - 180596*b - 150480.
-4*(b + 1)*(b + 5)*(b + 7524)
Suppose 3*s**3/4 + 351*s**2/4 + 258*s + 171 = 0. What is s?
-114, -2, -1
Solve 6*u**3/13 + 164786*u**2/13 - 109862*u/13 - 54930/13 = 0 for u.
-27465, -1/3, 1
Factor -3*n**2 - 321*n - 8256.
-3*(n + 43)*(n + 64)
Determine w so that -24*w**4 - 18*w**3 + 33*w**2 + 9*w = 0.
-3/2, -1/4, 0, 1
What is g in g**5/5 - 1156*g**4 - 17348*g**3/5 - 5786*g**2/5 + 17347*g/5 + 11566/5 = 0?
-2, -1, 1, 5783
Factor -3*c**2 - 536082*c - 23948659227.
-3*(c + 89347)**2
Factor -q**2/6 + 557*q/3 - 310249/6.
-(q - 557)**2/6
Solve -3*j**5/2 + 387*j**4/2 + 2403*j**3/2 + 3633*j**2/2 + 810*j = 0 for j.
-4, -1, 0, 135
Solve s**5/10 - 13*s**4 + 2837*s**3/5 - 43254*s**2/5 + 135837*s/10 + 22815 = 0 for s.
-1, 3, 39, 50
Let 4*r**3/7 + 4288*r**2/7 - 8588*r/7 + 4296/7 = 0. What is r?
-1074, 1
Factor -2*n**2 + 72316*n - 653700482.
-2*(n - 18079)**2
Determine x so that -4*x**3/3 - 2816*x**2/3 - 51520*x/3 + 60940800 = 0.
-460, 216
Factor -h**3 + 50986*h**2 - 305885*h + 254900.
-(h - 50980)*(h - 5)*(h - 1)
Let -79*b**5/6 + 86*b**4/3 - 14*b**3/3 = 0. What is b?
0, 14/79, 2
Solve -5*g**3 + 495*g**2 - 5740*g + 12900 = 0.
3, 10, 86
What is z in z**3/3 + 3653*z**2/3 + 1118701*z + 12158817 = 0?
-1821, -11
Solve -2*y**2/13 - 249408*y/13 - 7775543808/13 = 0.
-62352
Determine x so that 3*x**5 - 36*x**4/7 - 264*x**3/7 + 306*x**2/7 + 675*x/7 + 162/7 = 0.
-3, -1, -2/7, 3
Factor -4*f**4 - 1408*f**3 + 2832*f**2.
-4*f**2*(f - 2)*(f + 354)
Solve -3*i**5 - 2103*i**4 - 365364*i**3 + 1123584*i**2 + 1486848*i = 0.
-352, -1, 0, 4
Solve t**3/5 - 208*t**2/5 + 11021*t/5 - 21218/5 = 0.
2, 103
Factor 2*n**5/15 - 3952*n**4/15 + 1314*n**3.
2*n**3*(n - 1971)*(n - 5)/15
Solve 4*z**3 - 4736*z**2 - 4748*z + 9480 = 0 for z.
-2, 1, 1185
Solve 10*p**4/3 - 48*p**3 + 62*p**2 - 52*p/3 = 0.
0, 2/5, 1, 13
Let 2*k**2 + 13920*k + 24220800 = 0. Calculate k.
-3480
Solve 4*d**3 - 520256*d**2 + 16916123828*d + 33834328712 = 0 for d.
-2, 65033
Suppose -o**3 + 9*o**2 + 340*o + 1500 = 0. Calculate o.
-10, -6, 25
Factor a**2/6 - 1441*a/6 - 1932.
(a - 1449)*(a + 8)/6
Solve -3*r**4/8 - 5367*r**3/4 - 8527683*r**2/8 + 240146415*r - 12012690150 = 0 for r.
-1884, 95
Find d such that -3*d**3/5 + 131796*d**2/5 - 1447779024*d/5 + 5789007552/5 = 0.
4, 21964
Solve -5*u**2 - 225325*u - 901220 = 0.
-45061, -4
Factor -5*n**2 - 8195*n - 40850.
-5*(n + 5)*(n + 1634)
Suppose -2*v**2/3 + 157*v/3 + 430 = 0. Calculate v.
-15/2, 86
Factor 4*x**2 - 23328*x + 325808.
4*(x - 5818)*(x - 14)
Let -9663597*l**4/2 + 77444883*l**3 - 76221198*l**2 + 25733741*l - 5835255/2 = 0. What is l?
73/213, 15
What is t in t**4/2 + 760*t**3 + 9048*t**2 - 128*t - 193024 = 0?
-1508, -8, 4
Let 2*u**5/7 + 752*u**4/7 + 69166*u**3/7 - 286520*u**2/7 + 216600*u/7 = 0. What is u?
-190, 0, 1, 3
Determine m, given that m**3/4 + 12371*m**2/4 + 38167459*m/4 - 575298735/4 = 0.
-6193, 15
Suppose -4*a**2 + 2748*a + 104112 = 0. Calculate a.
-36, 723
Suppose -105*b**5 - 3669*b**4/5 - 7308*b**3/5 - 4116*b**2/5 + 48*b/5 = 0. Calculate b.
-4, -2, -1, 0, 2/175
Determine w so that -w**4 - 22*w**3 + 17020*w**2 + 34102*w + 17061 = 0.
-141, -1, 121
Find w such that 15*w**5 - 926269*w**4 + 19065868250*w**3 - 130807956039216*w**2 - 95933545697408*w - 17442925073408 = 0.
-2/5, -1/3, 20584
Factor 4*i**2 - 14776*i + 13645636.
4*(i - 1847)**2
Factor -j**3/9 + 25*j**2 + 775*j/3 + 5875/9.
-(j - 235)*(j + 5)**2/9
Solve -4*m**4 - 796*m**3 - 20748*m**2 + 1915900*m - 17446352 = 0.
-119, 11, 28
Suppose h**3 - 55*h**2 + 466*h - 720 = 0. Calculate h.
2, 8, 45
Factor -4*q**3 + 10076*q**2 - 30192*q.
-4*q*(q - 2516)*(q - 3)
Solve -375*n**4 - 1570*n**3 + 95*n**2 + 1570*n + 280 = 0 for n.
-4, -1, -14/75, 1
Determine t so that 2*t**2 - 172864*t + 3735245312 = 0.
43216
Factor 38*m**3 - 131*m**2 - 138*m + 216.
(m - 4)*(2*m + 3)*(19*m - 18)
Factor 2*b**3 - 25664*b**2.
2*b**2*(b - 12832)
Find t such that -806*t**5 + 6458*t**4 - 17812*t**3 + 19564*t**2 - 7494*t + 90 = 0.
5/403, 1, 3
Let i**3 + 565*i**2 + 106400*i + 6678500 = 0. Calculate i.
-190, -185
Factor -4*m**2 + 224*m - 2460.
-4*(m - 41)*(m - 15)
Let -s**5/2 + 4043*s**4/6 - 226912*s**3 - 232532*s**2/3 + 606600*s - 908552/3 = 0. Calculate s.
-2, 2/3, 1, 674
Factor -5*k**2 + 185*k - 1350.
-5*(k - 27)*(k - 10)
Factor 4*r**2 - 5268*r + 5264.
4*(r - 1316)*(r - 1)
Factor -2*l**4/5 - 39014*l**3/5 - 253695036*l**2/5 - 110002162408*l - 549757156016/5.
-2*(l + 1)*(l + 6502)**3/5
Factor c**3/3 - 508*c**2/3 - 1573*c/3 + 20440/3.
(c - 511)*(c - 5)*(c + 8)/3
Factor -n**4 - 7115*n**3 - 7114*n**2.
-n**2*(n + 1)*(n + 7114)
Solve 4*f**5 + 12*f**4 - 152*f**3 + 144*f**2 + 544*f - 768 = 0 for f.
-8, -2, 2, 3
Factor 3*j**2/5 + 492*j/5 + 5049/5.
3*(j + 11)*(j + 153)/5
Solve 2*l**2/17 - 36926*l = 0.
0, 313871
Factor -2*c**4 - 8996*c**3 - 10178778*c**2 - 141183224*c - 492603272.
-2*(c + 7)**2*(c + 2242)**2
Solve -z**4/2 - 505*z**3 - 132909*z**2/2 + 134426*z - 67466 = 0 for z.
-854, -158, 1
Factor 4*b**2 - 18280*b - 514976.
4*(b - 4598)*(b + 28)
Let -4*f**3 + 9700*f**2 - 38752*f + 38736 = 0. What is f?
2, 2421
Find w, given that -4*w**4/5 - 221196*w**3/5 + 1327272*w**2/5 - 2654608*w/5 + 353952 = 0.
-55305, 2
Factor c**4/4 + 101*c**3/4 - 55*c**2/2 - 201*c + 306.
(c - 2)**2*(c + 3)*(c + 102)/4
Solve -2*t**3 + 76*t**2 = 0 for t.
0, 38
Factor 2*k**3/15 - 1412*k**2/15 + 15936*k + 241920.
2*(k - 360)**2*(k + 14)/15
Suppose 2*u**4/17 - 5472*u**3/17 - 10414*u**2 - 315732*u/17 + 498240/17 = 0. Calculate u.
-30, -3, 1, 2768
Suppose 6*h**4/7 - 655506*h**3/7 + 655500*h**2/7 = 0. Calculate h.
0, 1, 109250
Factor 2*d**2 + 714872*d + 63880247048.
2*(d + 178718)**2
Find z such that 2*z**4/9 + 204*z**3 + 415810*z**2/9 - 850696*z/3 + 237160 = 0.
-462, 1, 5
Let -4*t**5 - 11232*t**4 - 7862368*t**3 + 31584384*t**2 - 31629376*t = 0. Calculate t.
-1406, 0, 2
Factor -2*y**2/9 + 269792*y/9 - 9098465408/9.
-2*(y - 67448)**2/9
Find n, given that 72*n**5/7 - 195*n**4 - 3298*n**3/7 + 633*n**2 + 36*n/7 - 108 = 0.
-3, -3/8, 2/3, 21
Determine b, given that -b**2 - 356*b - 355 = 0.
-355, -1
Factor -2*h**2/5 + 782*h/5 - 9480.
-2*(h - 316)*(h - 75)/5
Solve 3*j**4 + 36*j**3 - 987*j**2 + 2664*j - 1716 = 0.
-26, 1, 2, 11
Factor -3*a**3 + 1824*a**2 - 5451*a + 3630.
-3*(a - 605)*(a - 2)*(a - 1)
Suppose 3*h**3 + 717*h**2 + 47121*h + 497991 = 0. What is h?
-113, -13
Determine g so that -3*g**2 + 193398*g - 3116898867 = 0.
32233
Suppose 192*z**4 + 76176*z**3 - 327021*z**2 + 78183*z - 4812 = 0. What is z?
-401, 1/8, 4
Let 7*f**5 + 9*f**4 - 68*f**3 + 36*f**2 + 16*f = 0. Calculate f.
-4, -2/7, 0, 1, 2
Let -5*t**3 + 26110*t**2 + 104520*t = 0. What is t?
-4, 0, 5226
Suppose -4*v**5 - 28*v**4 + 740*v**3 - 3028*v**2 + 4448*v - 2128 = 0. What is v?
-19, 1, 2, 7
Solve 5*p**2 + 670895*p - 1341810 = 0 for p.
-134181, 2
Factor -5*o**2 - 528070*o - 13942896245.
-5*(o + 52807)**2
Determine q so that -4*q**2/5 + 6556*q/5 + 26288/5 = 0.
-4, 1643
Determine a so that -a**5/3 + 224*a**4/3 - 15566*a**3/3 + 332080*a**2/3 + 237253*a + 121296 = 0.
-1, 57, 112
Determine u so that u**5/2 + 5*u**4/2 - 49*u**3/2 - 257*u**2/2 + 24*u + 126 = 0.
-6, -1, 1, 7
Factor 2*v**2/5 + 251936*v/5 - 100776.
2*(v - 2)*(v + 125970)/5
Find t such that -9*t**2/5 - 1254*t/5 - 1656/5 = 0.
-138, -4/3
Solve -t**5/3 - 32*t**4/3 - 95*t**3/3 + 500*t**2/3 + 212*t - 336 = 0.
-28, -6, -2, 1, 3
Solve n**2/3 - 234200*n/3 + 13712410000/3 = 0 for n.
117100
Factor 3*v**4 - 1254*v**3 + 159300*v**2 - 3645000*v - 324000000.
3*(v - 150)**3*(v + 32)
Factor -4*s**4 + 8472*s**3 - 4494384*s**2 + 8954912*s.
-4*s*(s - 1058)**2*(s - 2)
Factor 2*d**3/13 - 810*d**2/13 + 91854*d/13 - 1928934/13.
2*(d - 189)**2*(d - 27)/13
Factor -z**2/4 + 12*z - 135.
-(z - 30)*(z - 18)/4
Find h, given that -3*h**2 + 496470*h - 20540205075 = 0.
82745
Factor 3*f**2/5 - 175113*f/5.
3*f*(f - 58371)/5
Find r, given that -4*r**5 + 1208*r**4 + 5100*r**3 - 62768*r**2 + 105424*r - 48960 = 0.
-10, 1, 4, 306
Factor 5*t**2 - 1775*t + 15570