*2/5 - 162222*g/5 + 4635 = 0. What is g?
-7725, 1/7
Suppose -7*s**4 + 745*s**3 + 18505*s**2 - 27625*s + 8382 = 0. Calculate s.
-22, 3/7, 1, 127
Factor 2*k**2 + 1580*k + 7850.
2*(k + 5)*(k + 785)
Factor 5*x**3 - 950705*x**2 + 3802760*x - 3802740.
5*(x - 190137)*(x - 2)**2
Find h, given that -h**4/7 + 4*h**3 - 223*h**2/7 + 648*h/7 - 612/7 = 0.
2, 3, 6, 17
Suppose k**3/2 - 47*k**2 + 2849*k/2 - 13690 = 0. What is k?
20, 37
Let 9*t**4/2 + 10875*t**3/2 + 1808*t**2 - 4834*t - 2416 = 0. Calculate t.
-1208, -2/3, 1
Suppose c**3/5 - 22*c**2 + 217*c/5 - 108/5 = 0. What is c?
1, 108
Factor -2*n**3/7 - 38*n**2 + 824*n/7 + 1088/7.
-2*(n - 4)*(n + 1)*(n + 136)/7
Find h such that -2*h**3/7 + 200*h**2/7 - 2238*h/7 - 140760/7 = 0.
-20, 51, 69
Find m such that -m**4/7 - 251*m**3/7 - 977*m**2/7 + 2711*m/7 - 1482/7 = 0.
-247, -6, 1
Solve 5*w**3 + 105*w**2 - 1100*w + 1740 = 0 for w.
-29, 2, 6
Factor -354*m**2/13 + 254*m/13 - 12/13.
-2*(3*m - 2)*(59*m - 3)/13
Factor -4*x**3 - 29976*x**2 - 56160036*x.
-4*x*(x + 3747)**2
Let 3*f**3/7 + 981*f**2/7 - 5970*f/7 + 7992/7 = 0. Calculate f.
-333, 2, 4
What is o in 27*o**5 - 642*o**4 - 8190*o**3 - 1140*o**2 + 8163*o + 1782 = 0?
-9, -1, -2/9, 1, 33
Factor w**2 - 1119*w + 7784.
(w - 1112)*(w - 7)
Factor x**3/2 + 332*x**2 + 26218*x - 53768.
(x - 2)*(x + 94)*(x + 572)/2
Suppose 3*r**2 + 138369*r - 2076210 = 0. Calculate r.
-46138, 15
What is h in -2*h**3/11 - 10502*h**2/11 + 2*h/11 + 10502/11 = 0?
-5251, -1, 1
Solve 87*f**5 + 518*f**4 + 324*f**3 - 538*f**2 - 411*f + 20 = 0 for f.
-5, -1, 4/87, 1
Let -3*v**4/2 + 447*v**3/2 - 6642*v**2 = 0. Calculate v.
0, 41, 108
Let 3*y**3 - 6*y**2 - 969*y = 0. Calculate y.
-17, 0, 19
Determine z so that -z**5/3 + 20*z**4/3 - 5*z**3 - 80*z**2/3 + 76*z/3 = 0.
-2, 0, 1, 2, 19
Solve 3*u**4 - 6981*u**3 - 84096*u**2 - 252612*u = 0 for u.
-6, 0, 2339
Solve 5*b**2 + 157860*b - 315740 = 0.
-31574, 2
Find m, given that -3*m**3 - 456*m**2 + 13965*m + 14418 = 0.
-178, -1, 27
Find n, given that -4*n**4 + 2396*n**3 - 240404*n**2 - 992924*n - 750120 = 0.
-3, -1, 133, 470
Determine q, given that 2*q**4 - 59676*q**3 - 59678*q**2 = 0.
-1, 0, 29839
Suppose -5*y**2/2 - 10995*y/2 - 27425 = 0. Calculate y.
-2194, -5
Factor -6*o**3/11 + 1888*o**2/11 + 630*o/11.
-2*o*(o - 315)*(3*o + 1)/11
Suppose -2*k**4/3 - 4031*k**3/6 - 1174*k**2 - 2011*k/6 + 503/3 = 0. Calculate k.
-1006, -1, 1/4
Factor 3*j**2 - 1059*j + 90846.
3*(j - 206)*(j - 147)
Factor -q**2/3 + 73*q - 11990/3.
-(q - 110)*(q - 109)/3
Determine j, given that -8*j**4 + 998*j**3 - 30474*j**2 - 41958*j + 71442 = 0.
-9/4, 1, 63
Factor 5*c**4 + 220*c**3 - 1935*c**2 - 76950*c.
5*c*(c - 19)*(c + 18)*(c + 45)
Solve 2*v**2 - 709824*v + 62981263872 = 0 for v.
177456
Find n such that 3*n**4 + 5151*n**3 - 5169*n**2 - 25779*n - 15462 = 0.
-1718, -1, 3
Let i**5 + 8094*i**4 - 40489*i**3 + 48598*i**2 + 32388*i - 64792 = 0. What is i?
-8099, -1, 2
Factor a**2 - 746*a - 6032.
(a - 754)*(a + 8)
Let 3*q**2 + 61422*q - 61425 = 0. Calculate q.
-20475, 1
Let 2*d**3/7 - 8*d**2 - 838*d/7 - 780/7 = 0. What is d?
-10, -1, 39
Determine m so that -5*m**4 - 15*m**3 + 90*m**2 + 200*m = 0.
-5, -2, 0, 4
Determine m, given that -2*m**5/11 + 24*m**4/11 + 134*m**3/11 - 76*m**2/11 - 336*m/11 + 256/11 = 0.
-4, -2, 1, 16
What is f in -f**2/3 + 53*f + 1690/3 = 0?
-10, 169
Determine s, given that -10*s**4 + 2015*s**3 - 3005*s**2 + 1000*s = 0.
0, 1/2, 1, 200
Solve 80*b**2/17 - 15854*b/17 - 3174/17 = 0.
-1/5, 1587/8
Factor 192*b**3 - 60240*b**2 + 4843251*b - 18421452.
3*(b - 4)*(8*b - 1239)**2
Factor -5*f**3 + 240*f**2 + 1065*f - 1300.
-5*(f - 52)*(f - 1)*(f + 5)
Factor -u**2 + 2091*u - 482328.
-(u - 1827)*(u - 264)
Factor -260*t**4 - 1556*t**3 - 3096*t**2 - 2032*t + 32.
-4*(t + 2)**3*(65*t - 1)
Solve l**3 - 198*l**2/5 = 0 for l.
0, 198/5
Factor -4424*g**3/3 - 70786*g**2 - 849504*g - 1152.
-2*(g + 24)**2*(2212*g + 3)/3
Find q, given that 2*q**5 - 200*q**4 + 5180*q**3 + 32760*q**2 - 1870830*q - 1898208 = 0.
-16, -1, 39
Suppose -4*f**4/9 + 44*f**3/9 + 3028*f**2/9 + 21268*f/9 - 2704 = 0. What is f?
-13, 1, 36
Factor 3*n**2 + 42942*n + 1542024.
3*(n + 36)*(n + 14278)
Let -5*u**2/6 + 2465*u/2 + 14830/3 = 0. What is u?
-4, 1483
Suppose -2*y**2/9 - 802*y/9 - 532/3 = 0. What is y?
-399, -2
Let -46*g**2/5 + 49814*g/5 + 4332/5 = 0. What is g?
-2/23, 1083
Determine z so that z**3/3 - 76*z**2/3 + 308*z + 720 = 0.
-2, 18, 60
Suppose -2*u**5 - 146*u**4 - 960*u**3 - 2416*u**2 - 2656*u - 1056 = 0. What is u?
-66, -2, -1
Factor 5*t**2 - 479940*t + 11517120180.
5*(t - 47994)**2
Factor -4*c**3/7 + 270860*c**2/7 - 270856*c/7.
-4*c*(c - 67714)*(c - 1)/7
Factor -n**4/10 + 17979*n**3/10 - 10785*n**2 + 107842*n/5 - 71892/5.
-(n - 17973)*(n - 2)**3/10
Determine d, given that -581*d**4/6 - d**3/3 + 10458*d**2 - 41796*d - 144 = 0.
-12, -2/581, 6
Factor 5*h**3 + 1685*h**2 + 8300*h.
5*h*(h + 5)*(h + 332)
Factor q**2/2 - 385*q + 769/2.
(q - 769)*(q - 1)/2
Find t such that -20*t**5 - 1828*t**4 + 1312*t**3 + 19376*t**2 + 22144*t + 5888 = 0.
-92, -2, -1, -2/5, 4
What is a in 18*a**4/7 + 123798*a**3 + 577718*a**2/7 + 96286*a/7 = 0?
-48143, -1/3, 0
Determine c so that -5*c**4/2 + 1005*c**3/2 - 49995*c**2/2 - 51005*c/2 = 0.
-1, 0, 101
Suppose 2*z**2/3 - 134*z = 0. What is z?
0, 201
Factor -a**3/3 + 3296*a**2 - 8154300*a + 97693456/3.
-(a - 4942)**2*(a - 4)/3
Factor 8*i**2 + 318554*i + 79638.
2*(i + 39819)*(4*i + 1)
Suppose p**3/5 + 366*p**2/5 - 1849*p/5 + 2226/5 = 0. What is p?
-371, 2, 3
Find k such that -5*k**3 - 2175*k**2 - 122035*k - 1229865 = 0.
-371, -51, -13
Factor -2*r**2/3 - 18194*r/3 - 325548.
-2*(r + 54)*(r + 9043)/3
Find l, given that -l**3/5 + 4721*l**2/5 - 9427*l + 23555 = 0.
5, 4711
Solve 20*r**3/9 - 33562*r**2/3 + 130864*r/9 - 10066/3 = 0 for r.
3/10, 1, 5033
Factor -d**2 + 754*d - 13965.
-(d - 735)*(d - 19)
Determine p so that p**2/2 - 3133*p/2 - 10990 = 0.
-7, 3140
Find j such that -4*j**5 + 1676*j**4 + 4*j**3 - 1676*j**2 = 0.
-1, 0, 1, 419
Let -5*t**3/3 + 2660*t**2/3 - 5300*t/3 = 0. What is t?
0, 2, 530
Solve 27*a**5 - 26688*a**4 + 6627342*a**3 - 15984996*a**2 - 13889289*a + 8749764 = 0 for a.
-1, 4/9, 3, 493
Suppose 21*p**5/4 - 36459*p**4/2 - 271089*p**3/4 - 67791*p**2/2 + 15642*p = 0. Calculate p.
-3, -1, 0, 2/7, 3476
Let -2*f**4/7 - 135496*f**3/7 - 58068*f**2 - 406472*f/7 - 135490/7 = 0. What is f?
-67745, -1
Let -z**5/2 + 17*z**4 + 187*z**3/2 + 154*z**2 + 78*z = 0. What is z?
-2, -1, 0, 39
Factor 4*z**3 + 164*z**2 - 2544*z.
4*z*(z - 12)*(z + 53)
Determine r, given that 8*r**2/7 - 18933*r/7 + 7092 = 0.
21/8, 2364
Factor -4*j**2 - 4530760*j - 1282986636100.
-4*(j + 566345)**2
Let -4*s**4 - 316*s**3 - 556*s**2 + 4620*s = 0. What is s?
-77, -5, 0, 3
Find d such that -d**2/5 - 2446*d/5 + 4912 = 0.
-2456, 10
Let -2*h**5/3 + 634*h**4 - 179906*h**3 + 39528938*h**2/3 - 25815440*h + 12818400 = 0. What is h?
1, 109, 420
Suppose -180*a**5 + 71805*a**4 + 223720*a**3 - 245415*a**2 + 78410*a - 8040 = 0. What is a?
-4, 1/4, 1/3, 402
Factor 4*w**3/7 - 245440*w**2/7 + 3767502800*w/7 - 75251912000/7.
4*(w - 30670)**2*(w - 20)/7
Determine j, given that -25*j**5/3 - 8095*j**4/3 - 99764*j**3/3 - 75932*j**2/3 - 4976*j = 0.
-311, -12, -2/5, 0
Factor -6*h**3/5 + 4534*h**2/5 - 143552*h/15 + 76288/3.
-2*(h - 745)*(3*h - 16)**2/15
Factor -4*r**2/3 + 2548*r/3 - 154768/3.
-4*(r - 569)*(r - 68)/3
Find p such that -21*p**4/4 - 957*p**3/4 + 1443*p**2/4 + 1533*p/4 - 423/2 = 0.
-47, -1, 3/7, 2
Factor -5*d**4 + 95*d**3 + 1645*d**2 - 5655*d.
-5*d*(d - 29)*(d - 3)*(d + 13)
Factor t**4/7 - 150*t**3/7 + 2073*t**2/7 - 6416*t/7 - 8640/7.
(t - 135)*(t - 8)**2*(t + 1)/7
Suppose -15*s**5 + 309*s**4 - 954*s**3 + 588*s**2 + 408*s = 0. Calculate s.
-2/5, 0, 2, 17
Factor 4*r**3 + 864*r**2 + 19196*r + 18336.
4*(r + 1)*(r + 24)*(r + 191)
Determine v, given that -49*v**5/4 + 60235*v**4/4 + 25842*v**3 + 11079*v**2 = 0.
-6/7, 0, 1231
Solve 34*m**3 - 1834024*m**2 + 24732568826*m + 2909739364 = 0 for m.
-2/17, 26971
Determine s so that 2*s**4 + 994*s**3/3 + 3370*s**2 + 9850*s + 15500/3 = 0.
-155, -5, -2/3
Solve -3*p**4/7 + 1488*p**3/7 - 187461*p**2/7 + 730620*p/7 - 544644/7 = 0 for p.
1, 3, 246
Factor 2*l**3/9 + 542*l**2/3 + 1078*l + 1614.
2*(l + 3)**2*(l + 807)/9
What is y in -y**2/7 - 559508*y/7 - 78262300516/7 = 0?
-279754
Suppose 3*m**2/5 + 132*m - 179172/5 = 0. 