4*o**5 - 788*o**4 + 63988*o**3 - 63196*o**2 = 0. Calculate o.
-259, 0, 1, 61
Find k, given that 4*k**3/5 - 71876*k**2/5 + 28748*k - 71868/5 = 0.
1, 17967
What is z in 2*z**2 + 5468*z = 0?
-2734, 0
Determine u so that 50*u**2/21 - 218*u/7 - 92/3 = 0.
-23/25, 14
Factor 268203*h**2/2 + 80730*h + 12150.
3*(299*h + 90)**2/2
Find g, given that -5*g**3/4 + 11075*g**2/4 - 11060*g + 11055 = 0.
2, 2211
Let 5*k**5 - 22245*k**4 + 24775345*k**3 - 74170395*k**2 + 49417290*k = 0. Calculate k.
0, 1, 2, 2223
What is m in -21*m**3/2 + 2220*m**2 + 32886*m + 56808 = 0?
-12, -2, 1578/7
Let 5*d**5/4 - 3750*d**4 + 22470*d**3 - 44920*d**2 + 29940*d = 0. Calculate d.
0, 2, 2994
Factor n**3/2 - 2533*n**2/2 - 20378*n - 35686.
(n - 2549)*(n + 2)*(n + 14)/2
Solve 3*p**4 + 1455*p**3 + 135219*p**2 - 10559583*p - 10693350 = 0.
-267, -1, 50
Suppose -2*r**4/13 - 40*r**3/13 - 90*r**2/13 + 220*r/13 + 272/13 = 0. Calculate r.
-17, -4, -1, 2
What is p in -2*p**4/5 - 12*p**3/5 + 14*p**2 + 624*p/5 + 224 = 0?
-5, -4, 7
Factor -3*o**3 + 185679*o**2 - 2872964745*o - 2873150427.
-3*(o - 30947)**2*(o + 1)
Solve 5*z**4 - 160*z**3 + 445*z**2 + 6010*z + 5400 = 0.
-4, -1, 10, 27
Factor 194045*p**3 + 196015*p**2 + 1975*p + 5.
5*(p + 1)*(197*p + 1)**2
Factor -2*v**2/15 - 1846*v/15 + 868.
-2*(v - 7)*(v + 930)/15
Solve 2*c**5 - 240*c**4/7 + 662*c**3/7 - 660*c**2/7 + 32*c = 0.
0, 1, 8/7, 14
What is s in -2*s**5/7 + 8822*s**4/7 - 105620*s**3/7 + 193388*s**2/7 + 105562*s + 61586 = 0?
-1, 7, 4399
Factor 2*j**2/9 - 6292*j/3 - 321470/9.
2*(j - 9455)*(j + 17)/9
Factor -180*t**3 + 591900*t**2 + 4545835*t + 8717920.
-5*(t - 3296)*(6*t + 23)**2
Let -b**3 - 53*b**2 + 113*b + 165 = 0. What is b?
-55, -1, 3
What is w in -3*w**5/5 + 186*w**4/5 + 384*w**3/5 + 6*w**2/5 - 381*w/5 - 192/5 = 0?
-1, 1, 64
What is j in 5*j**3 + 95*j**2 - 2200*j - 42000 = 0?
-20, 21
Factor -d**3 - 76446*d**2 + 76447*d.
-d*(d - 1)*(d + 76447)
Let f**2/5 + 13*f - 924/5 = 0. What is f?
-77, 12
Factor q**3/3 + q**2 - 111*q - 1615/3.
(q - 19)*(q + 5)*(q + 17)/3
Determine d, given that -d**3/3 - 21263*d**2/3 - 21262*d/3 = 0.
-21262, -1, 0
Let -2*m**4/3 - 318*m**3 - 3424*m**2 - 9320*m/3 = 0. Calculate m.
-466, -10, -1, 0
Determine q so that -5*q**2 - 56110*q + 449200 = 0.
-11230, 8
Factor 3*h**3 + 270*h**2 - 273*h.
3*h*(h - 1)*(h + 91)
Solve 14045*n**3 + 232572215*n**2 + 17552560*n + 331180 = 0 for n.
-16559, -2/53
Determine p so that 9*p**4 - 10254*p**3 + 2917260*p**2 + 1949400*p = 0.
-2/3, 0, 570
Factor 3*k**5 - 21*k**4 + 30*k**3 + 54*k**2 - 81*k - 81.
3*(k - 3)**3*(k + 1)**2
Factor -2*p**3 + 565942*p**2 - 40036010448*p - 40036576392.
-2*(p - 141486)**2*(p + 1)
Factor 2*o**2/3 + 144*o + 10528/3.
2*(o + 28)*(o + 188)/3
Factor o**4/2 - 151*o**3/4 + 385*o**2/2.
o**2*(o - 70)*(2*o - 11)/4
Let -2*v**4/15 + 58*v**3/15 - 314*v**2/15 - 166*v/5 + 252/5 = 0. Calculate v.
-2, 1, 9, 21
Determine o, given that -8*o**3 + 6956*o**2 - 10420*o + 3472 = 0.
1/2, 1, 868
Determine l so that 95316169*l**2 - 390520*l + 400 = 0.
20/9763
What is a in -5*a**4 + 37615*a**3 + 75250*a**2 = 0?
-2, 0, 7525
Determine y so that y**2 - 1691191*y/3 - 1127462/3 = 0.
-2/3, 563731
Factor 3*r**3 + 33222*r**2 - 265968*r.
3*r*(r - 8)*(r + 11082)
What is r in 3*r**4 + 232*r**3/3 + 119*r**2/3 - 1388*r/3 + 100 = 0?
-25, -3, 2/9, 2
Let 38*j**4/5 - 804*j**3/5 + 3888*j**2/5 - 5724*j/5 + 162 = 0. What is j?
3/19, 3, 15
Factor -f**2/4 + 4259*f/2.
-f*(f - 8518)/4
Solve -3*y**2 - 126*y + 1029 = 0 for y.
-49, 7
Factor -2*b**2/25 + 24482*b/25 - 73428/25.
-2*(b - 12238)*(b - 3)/25
Factor 3*v**3 - 342*v**2 + 5433*v + 19458.
3*(v - 94)*(v - 23)*(v + 3)
Find z such that -3*z**5/5 - 111*z**4/5 - 1032*z**3/5 + 804*z**2/5 + 3456*z + 15552/5 = 0.
-18, -4, -1, 4
Determine v, given that -v**4/2 + 907*v**3/2 + 2727*v**2/2 + 2729*v/2 + 455 = 0.
-1, 910
Factor k**2/7 + 2346*k/7 - 2016.
(k - 6)*(k + 2352)/7
Suppose -k**5 + 6*k**4 + 84*k**3 - 574*k**2 - 435*k + 5400 = 0. What is k?
-9, -3, 5, 8
Factor -2*j**3 + 32836*j**2/9 + 58432*j/9.
-2*j*(j - 1826)*(9*j + 16)/9
Find v, given that 5*v**5 + 1470*v**4 + 7220*v**3 - 1470*v**2 - 7225*v = 0.
-289, -5, -1, 0, 1
Factor -g**2/6 + 81358*g/3 - 3309562082/3.
-(g - 81358)**2/6
Solve 3*q**4 + 72*q**3 + 498*q**2 + 792*q + 363 = 0 for q.
-11, -1
Factor j**3 + 38*j**2 + 231*j - 270.
(j - 1)*(j + 9)*(j + 30)
Solve v**4/3 - 29*v**3 + 192*v**2 - 1292*v/3 + 320 = 0 for v.
2, 3, 80
What is r in -2*r**5/9 + 34*r**4 - 1318*r**3/9 - 24322*r**2/9 + 17128*r/3 - 26048/9 = 0?
-8, 1, 11, 148
Factor -220*p**2 + 33668*p - 1224.
-4*(p - 153)*(55*p - 2)
Factor -w**3/3 + 9706*w**2 - 70635411*w - 848090884/3.
-(w - 14561)**2*(w + 4)/3
Factor n**4 - 62*n**3 - 3019*n**2 + 182192*n + 375948.
(n - 59)**2*(n + 2)*(n + 54)
Determine o so that 110*o**2/13 + 185342*o/13 - 13480/13 = 0.
-1685, 4/55
Find u, given that -2*u**3 + 256*u**2 = 0.
0, 128
Solve p**2/4 + 22931*p + 525830761 = 0.
-45862
Factor 8*b**2/13 - 342*b - 4454/13.
2*(b + 1)*(4*b - 2227)/13
Determine w, given that w**3 + 11778*w**2 - 23559*w + 11780 = 0.
-11780, 1
Factor 5*u**2/6 + 4885*u - 58660/3.
5*(u - 4)*(u + 5866)/6
What is r in 5*r**3 - 82345*r**2 - 82350*r = 0?
-1, 0, 16470
Let 3*m**2/2 + 893778*m + 133139852214 = 0. Calculate m.
-297926
Find s such that 2*s**4 + 218*s**3 + 426*s**2 - 218*s - 428 = 0.
-107, -2, -1, 1
Factor i**4 + 814*i**3 - 2460*i**2 - 7358*i - 4085.
(i - 5)*(i + 1)**2*(i + 817)
Suppose -2*g**4 + 1188*g**3 - 3514*g**2 - 18888*g - 14184 = 0. Calculate g.
-2, -1, 6, 591
Solve -2*v**4 + 10*v**3 + 14*v**2 - 10*v - 12 = 0 for v.
-1, 1, 6
Find h such that h**2/6 + 116830*h/3 + 6824624450/3 = 0.
-116830
Factor -i**4 + 474*i**3 + 959*i**2 - 3336*i + 1904.
-(i - 476)*(i - 1)**2*(i + 4)
Solve h**2/2 - 264*h - 10152 = 0 for h.
-36, 564
Let c**3/7 + 1222*c**2/7 - c/7 - 1222/7 = 0. What is c?
-1222, -1, 1
Factor 3*j**2/2 + 18201*j - 72828.
3*(j - 4)*(j + 12138)/2
Factor -2*s**3 - 138*s**2 - 700*s + 42336.
-2*(s - 14)*(s + 27)*(s + 56)
Suppose -6*z**2/7 + 251036*z/7 - 11954 = 0. What is z?
1/3, 41839
Solve -f**5 - 1131*f**4/4 - 80369*f**3/4 - 59361*f**2/4 + 19881*f/4 = 0 for f.
-141, -1, 0, 1/4
What is z in 54*z**3 - 117940*z**2 + 64401792*z - 4769856 = 0?
2/27, 1092
What is a in -4*a**4 + 732*a**3 - 1348*a**2 - 18300*a + 36200 = 0?
-5, 2, 5, 181
Suppose 2*b**2/7 + 40*b + 2600/7 = 0. Calculate b.
-130, -10
Suppose -4*t**2 - 22936*t + 45888 = 0. What is t?
-5736, 2
Solve 5*i**3 - 199765*i**2 + 1198455*i - 1797615 = 0.
3, 39947
Factor 2*v**3/7 + 200*v**2/7 - 1578*v + 17892.
2*(v - 21)**2*(v + 142)/7
Factor u**3 + 474*u**2 + 18224*u + 34560.
(u + 2)*(u + 40)*(u + 432)
Factor -2*d**3/7 - 41984*d**2/7 - 251850*d/7 - 53964.
-2*(d + 3)**2*(d + 20986)/7
Factor -2*o**2 + 19482*o + 77960.
-2*(o - 9745)*(o + 4)
Factor -23*w**2/6 - 133*w/3 + 392/3.
-(w + 14)*(23*w - 56)/6
Find u such that -81*u**4/2 + 99*u**3 + 39*u**2/2 - 144*u + 66 = 0.
-11/9, 2/3, 1, 2
Factor 2*v**3/7 - 136624*v**2/7.
2*v**2*(v - 68312)/7
Determine p so that 3*p**3/7 + 1206*p**2/7 - 1479*p/7 - 108810/7 = 0.
-403, -9, 10
Solve -11045*y**3 + 24910*y**2 - 5820*y + 360 = 0.
6/47, 2
Determine v so that -v**2/2 + 5640*v - 56375/2 = 0.
5, 11275
Factor -2*m**3 - 33096*m**2 - 136851936*m + 547937408.
-2*(m - 4)*(m + 8276)**2
Factor 3165*i**2 + 310*i.
5*i*(633*i + 62)
Factor -2*z**3 - 200*z**2 + 406*z - 204.
-2*(z - 1)**2*(z + 102)
Suppose -5*q**3 + 20370*q**2 - 1025865*q = 0. What is q?
0, 51, 4023
Factor -o**2/2 - 30*o.
-o*(o + 60)/2
Factor 7*z**3/5 + 20549*z**2/5 - 20556*z/5.
z*(z - 1)*(7*z + 20556)/5
Factor -2*x**4/11 - 472*x**3 - 389664*x**2 - 84614816*x + 14677416160.
-2*(x - 110)*(x + 902)**3/11
Factor -l**2/5 - 436*l/5 + 876/5.
-(l - 2)*(l + 438)/5
Let -590*c**2 - 3148*c - 416 = 0. Calculate c.
-26/5, -8/59
Let -2*o**4 - 1384*o**3/5 - 7062*o**2/5 + 16016*o/5 + 7448/5 = 0. Calculate o.
-133, -7, -2/5, 2
What is i in 2*i**2/3 + 424*i/3 + 6850 = 0?
-137, -75
Factor 2*s**2 + 3608*s + 1627208.
2*(s + 902)**2
Factor 3*m**4 - 327*m**3 + 3330*m**2 - 9492*m + 8232.
3*(m - 98)*(m - 7)*(m - 2)**2
Determine d so that -3*d**3/2 - 69549*d**2/8 - 58611*d + 121569/8 = 0.
-5789, -7, 1/4
Find w such that w**2 - 734*w - 2211 = 0.
-3, 737
Factor l**3/8 - 467*l**2/4 + 4639*l/8 + 2787/4.
(l - 929)*(l - 6)*(l + 1)/8
Suppose -5*i**3 + 1280*i**2 + 1285*i = 0. What is i?
-1, 0, 257
So