**3/8 - 515*v**2/8 + 411*v - 198.
(v - 12)**2*(21*v - 11)/8
Solve -2*k**2/7 - 1632*k/7 - 242190/7 = 0.
-621, -195
Find i, given that -35*i**2 - 247225*i + 247260 = 0.
-49452/7, 1
Factor s**4 + 10252*s**3 + 26296372*s**2 + 105062496*s + 105021504.
(s + 2)**2*(s + 5124)**2
Solve -j**4/3 - 34*j**3/3 + 977*j**2/3 - 1802*j + 2808 = 0.
-54, 3, 4, 13
Factor -2*n**2/17 + 886*n.
-2*n*(n - 7531)/17
Determine j, given that -3*j**2/5 + 2856*j/5 - 1140 = 0.
2, 950
Determine n, given that -4*n**4 + 44*n**3 - 104*n**2 + 64*n = 0.
0, 1, 2, 8
Solve -4*b**4 + 3898*b**3 + 5854*b**2 + 1952*b = 0 for b.
-1, -1/2, 0, 976
Find v, given that -3*v**2 + 12606*v + 25224 = 0.
-2, 4204
Factor -4*u**3 - 760*u**2 + 75088*u - 1536416.
-4*(u - 38)**2*(u + 266)
Solve -2*f**2/7 + 2638*f/7 - 29640 = 0.
84, 1235
Factor -5*a**3 - 400*a**2 - 10640*a - 94080.
-5*(a + 24)*(a + 28)**2
Solve 2*j**3/9 + 4798*j**2/3 - 44912*j + 2832200/9 = 0 for j.
-7225, 14
Factor -m**3/4 - 5737*m**2/2 - 32890209*m/4 + 32936121.
-(m - 4)*(m + 5739)**2/4
Solve -2*g**4/19 - 4316*g**3/19 - 4726*g**2 - 85480*g/19 = 0 for g.
-2137, -20, -1, 0
Solve -2*g**5 - 298*g**4 + 29650*g**3 + 3015650*g**2 - 209090000*g + 206045000 = 0 for g.
-145, 1, 70
Factor -3*y**3 - 5508*y**2 - 2665296*y - 124123584.
-3*(y + 52)*(y + 892)**2
What is d in -2*d**3 + 204*d**2 - 3798*d - 4004 = 0?
-1, 26, 77
Let 27*x**4 + 323694*x**3 + 969949047*x**2 - 1293697020*x + 431280300 = 0. What is x?
-5995, 2/3
Factor 2*v**2/9 + 206*v/9 - 4060/3.
2*(v - 42)*(v + 145)/9
Solve -2*m**3/5 + 26*m**2/5 + 3104*m/5 - 3128/5 = 0 for m.
-34, 1, 46
Find h, given that 4*h**5/7 + 4037*h**4/7 + 2433*h**3 - 54287*h**2/7 - 17035*h/7 + 50250/7 = 0.
-1005, -25/4, -1, 1, 2
What is d in -5*d**5 + 1240*d**4 - 79285*d**3 + 293930*d**2 + 245220*d - 1339560 = 0?
-2, 3, 122
Suppose 5*k**3 - 2010*k**2 = 0. Calculate k.
0, 402
Determine y, given that -9075*y**4/2 - 472065*y**3 - 24573123*y**2/2 - 446316*y - 4056 = 0.
-52, -1/55
Factor -a**3/4 + 1875*a**2/4 + 49401*a/4 + 47525/4.
-(a - 1901)*(a + 1)*(a + 25)/4
Solve 2*f**4/19 + 122*f**3/19 - 392*f**2/19 - 488*f/19 + 1536/19 = 0 for f.
-64, -2, 2, 3
Solve 4*f**2 + 170356*f - 170360 = 0 for f.
-42590, 1
Find k, given that -935*k**3 + 2870*k**2 - 2065*k + 130 = 0.
13/187, 1, 2
Solve 129600*z**2 - 1055520*z + 2149156 = 0 for z.
733/180
Factor -5*z**3 + 338130*z**2.
-5*z**2*(z - 67626)
Solve 5*q**5 + 648*q**4 + 28045*q**3 + 418258*q**2 + 579228*q - 300424 = 0.
-47, -34, -2, 2/5
What is d in d**3 + 4115*d**2 + 41071*d + 86205 = 0?
-4105, -7, -3
What is x in -2*x**4 + 72*x**3 - 826*x**2 + 3180*x - 3600 = 0?
2, 4, 15
Find h such that -260*h**2 + 635*h - 375 = 0.
1, 75/52
Determine f, given that -126*f**3 - 399648*f**2 + 532888*f/7 - 25376/7 = 0.
-3172, 2/21
Determine b so that -6*b**4 - 2919*b**3 - 346875*b**2 + 1989648*b - 907740 = 0.
-246, 1/2, 5
Find x, given that -2*x**4 - 284*x**3 + 2688*x**2 - 4580*x - 7550 = 0.
-151, -1, 5
Factor -r**2/2 - 5741*r - 32959081/2.
-(r + 5741)**2/2
Find t such that t**3 - 40303*t**2 - t + 40303 = 0.
-1, 1, 40303
Factor 3*a**3/5 - 1562784*a**2/5.
3*a**2*(a - 520928)/5
Determine x, given that 2*x**3/9 + 5962*x**2/9 + 5960*x/9 = 0.
-2980, -1, 0
Let o**3/5 + 17887*o**2/5 = 0. What is o?
-17887, 0
Let 3*m**2 + 3267*m + 48330 = 0. What is m?
-1074, -15
Determine n so that 6*n**5/7 - 332*n**4/7 + 1648*n**3/7 - 2400*n**2/7 - 32*n/7 + 1600/7 = 0.
-2/3, 2, 50
Factor 2*j**3/11 - 194*j**2/11 + 4284*j/11.
2*j*(j - 63)*(j - 34)/11
Let h**4/7 + 9*h**3/7 + 29*h**2/7 + 39*h/7 + 18/7 = 0. Calculate h.
-3, -2, -1
Suppose 2*y**3/9 - 334*y**2/9 - 18538*y/9 - 75118/3 = 0. What is y?
-23, 213
Solve -5*h**2 + 526040*h - 1052060 = 0.
2, 105206
Factor 2*a**2/5 + 148128*a/5 + 2742738048/5.
2*(a + 37032)**2/5
Solve -91204*a**5 - 846204*a**4 - 2418972*a**3 - 2083972*a**2 - 448224*a - 28224 = 0.
-4, -1, -21/151
Determine d, given that -5*d**5 - 720*d**4 - 19610*d**3 - 18180*d**2 + 19615*d + 18900 = 0.
-108, -35, -1, 1
What is v in -v**2 + 4709*v + 300636 = 0?
-63, 4772
Determine c so that 18*c**2/13 + 37670*c/13 - 37688/13 = 0.
-18844/9, 1
Let 3*r**3 + 28617*r**2 + 68230080*r - 68258700 = 0. Calculate r.
-4770, 1
Determine h so that -2*h**3 + 5662*h**2 + 17000*h + 11336 = 0.
-2, -1, 2834
Factor 618*x**3/11 + 114952*x**2/11 + 744*x/11.
2*x*(x + 186)*(309*x + 2)/11
Factor 699*s**2 + 14678*s - 21.
(s + 21)*(699*s - 1)
Suppose -37*i**4/2 + 257*i**3 - 869*i**2/2 + 172*i + 24 = 0. What is i?
-4/37, 1, 12
Solve -3*s**5 + 69*s**4 - 126*s**3 - 6*s**2 + 129*s - 63 = 0 for s.
-1, 1, 21
Solve -2*q**4/7 - 1912*q**3/7 - 7624*q**2/7 - 1088*q = 0.
-952, -2, 0
Factor q**3/3 - 320*q**2/3 + 9724*q/3.
q*(q - 286)*(q - 34)/3
Determine j, given that -2*j**3 - 28*j**2 + 462*j + 6120 = 0.
-17, -12, 15
Determine m so that -4*m**2 + 796*m - 38976 = 0.
87, 112
Solve a**3/3 - 605*a**2 + 3626*a/3 = 0.
0, 2, 1813
Factor m**2 + 2990*m + 14925.
(m + 5)*(m + 2985)
Determine b, given that b**3/4 - 28371*b**2/4 + 50303556*b + 50310649 = 0.
-1, 14186
Factor -2*z**3/5 + 9368*z**2/5 + 37504*z/5.
-2*z*(z - 4688)*(z + 4)/5
Determine d, given that 2*d**2 + 544*d + 3192 = 0.
-266, -6
Solve -6*a**4 - 50*a**3 + 1850*a**2 + 12250*a + 3876 = 0.
-19, -6, -1/3, 17
Factor u**2/4 - 40*u + 1639/4.
(u - 149)*(u - 11)/4
Factor 4*i**3 + 62776*i**2 + 246050340*i - 1972422432.
4*(i - 8)*(i + 7851)**2
Factor 5*x**3 - 25800*x**2 + 33282000*x.
5*x*(x - 2580)**2
Find v such that -2*v**5/5 - 46*v**4/5 - 42*v**3/5 + 46*v**2/5 + 44*v/5 = 0.
-22, -1, 0, 1
Solve 4*i**5 + 55200*i**4 - 1326440*i**3 + 9178080*i**2 - 14597660*i + 6690816 = 0 for i.
-13824, 1, 11
Factor -4*m**2 + 11064*m + 211660.
-4*(m - 2785)*(m + 19)
Determine r, given that 28*r**4/11 + 4614*r**3/11 - 1018*r**2/11 - 4614*r/11 + 90 = 0.
-165, -1, 3/14, 1
Suppose -3*j**2 + 378*j - 5832 = 0. Calculate j.
18, 108
Solve 4*y**3 - 3849*y**2 - 10618*y + 2895 = 0 for y.
-3, 1/4, 965
What is p in 4*p**3/11 - 1306*p**2/11 - 11408*p/11 + 6030/11 = 0?
-9, 1/2, 335
Factor -t**4/5 + 2181*t**3/5 - 1209639*t**2/5 + 22202659*t/5.
-t*(t - 1081)**2*(t - 19)/5
Factor -2*o**2 - 7500*o - 126922.
-2*(o + 17)*(o + 3733)
Find l such that -l**4 + 154*l**3 + 2424*l**2 - 12096*l = 0.
-18, 0, 4, 168
Determine l so that -l**4/8 + 279*l**3/8 + 7457*l**2/8 + 43641*l/8 - 6422 = 0.
-13, 1, 304
Suppose -3*d**3/2 - 3*d**2/2 + 129*d + 360 = 0. Calculate d.
-8, -3, 10
Let -5*n**3 - 10235*n**2 - 482640*n - 5757120 = 0. Calculate n.
-1999, -24
Factor y**4/6 - 37*y**3/6 - 23*y**2/3 + 146*y/3 + 76.
(y - 38)*(y - 3)*(y + 2)**2/6
Find k, given that -k**3/2 + 17198*k**2 - 295736805*k/2 - 295805601 = 0.
-2, 17199
Suppose -36*r**3 + 2976*r**2 - 18640*r + 30400 = 0. What is r?
10/3, 76
Factor -u**3/3 - 323*u**2 - 43738*u + 132184/3.
-(u - 1)*(u + 164)*(u + 806)/3
Factor -2*s**5 - 1340*s**4 - 336432*s**3 - 37515428*s**2 - 1567730414*s.
-2*s*(s + 163)**3*(s + 181)
Find j such that -4*j**3/5 + 78704*j**2/5 + 188976*j + 2835072/5 = 0.
-6, 19688
Suppose -4*v**2 + 6652*v = 0. Calculate v.
0, 1663
Solve 33645*y**5 + 11305*y**4 - 100905*y**3 + 33375*y**2 + 22520*y + 60 = 0 for y.
-2, -1/3, -6/2243, 1
Factor -3*q**2 + 225*q + 1458.
-3*(q - 81)*(q + 6)
Factor 5*k**3 + 1240*k**2 + 72535*k + 71300.
5*(k + 1)*(k + 92)*(k + 155)
Factor t**4/3 + 6142*t**3/3 + 4200408*t**2 + 2896651206*t + 36951085197.
(t + 13)*(t + 2043)**3/3
Determine a, given that a**2/2 - 7882*a - 15765/2 = 0.
-1, 15765
Let -3*h**3 + 21894*h**2 - 305967*h + 284076 = 0. Calculate h.
1, 13, 7284
What is s in -2*s**3/13 + 776*s**2/13 + 8*s/13 - 3104/13 = 0?
-2, 2, 388
Solve 616*o**5/3 - 104420*o**4/3 - 52062*o**3 - 76879*o**2/3 - 12142*o/3 + 57 = 0.
-1/2, 1/77, 171
Suppose -74*m**2/3 + 1766*m/3 + 700 = 0. Calculate m.
-42/37, 25
Suppose 4*m**4/9 - 472*m**3/9 - 79852*m**2/9 - 2445200*m/9 - 2210000/3 = 0. Calculate m.
-50, -3, 221
Factor 2*s**3/23 - 32220*s**2/23.
2*s**2*(s - 16110)/23
Factor 2*n**2/7 - 1682*n/7 - 13584/7.
2*(n - 849)*(n + 8)/7
Let 3*q**2/2 - 165*q/2 - 549 = 0. Calculate q.
-6, 61
Solve o**4/10 - 113*o**3/10 - 73*o**2/10 + 8321*o/10 - 4068/5 = 0 for o.
-9, 1, 8, 113
Determine m so that -2*m**2/7 + 164*m + 3462/7 = 0.
-3, 577
Factor -3*m**2 + 9099*m + 537834.
-3*(m - 3091)*(m + 58)
Determine y, given that 3*y**5 - 360*y**4 + 8247*y**3 - 12654*y**2 - 51504*y - 30240 = 0.
-1, 4, 28, 90
Solve -4*q**2/5