19437)**2
Solve -2*v**4/9 + 2*v**3/3 + 92*v**2/9 - 32*v/3 = 0.
-6, 0, 1, 8
Find x such that 2*x**4 + 506*x**3 - 1034*x**2 - 3578*x - 2040 = 0.
-255, -1, 4
Find t, given that -5*t**4/4 - 1225*t**3/2 - 10755*t**2 - 63990*t - 127440 = 0.
-472, -6
What is s in 12*s**5/5 + 223386*s**4/5 + 1038660612*s**3/5 - 8842302762*s**2/5 + 2289075840*s - 3641960448/5 = 0?
-9312, 1/2, 1, 7
Factor 25*a**3/2 - 51565*a**2/2 + 26604955*a/2 - 15944415/2.
5*(a - 1031)**2*(5*a - 3)/2
Determine t so that 3*t**5 + 20994*t**4 - 41997*t**3 + 21000*t**2 = 0.
-7000, 0, 1
Determine o, given that -2*o**2 + 3394*o - 30384 = 0.
9, 1688
Solve 2*n**2/9 - 642868*n/9 + 51659908178/9 = 0.
160717
Let -57*t**2/7 + 27*t + 246/7 = 0. What is t?
-1, 82/19
Determine v so that -v**4/3 - 119*v**3/3 + 1471*v**2 - 8465*v/3 + 4172/3 = 0.
-149, 1, 28
Let 255*t**3/4 + 249*t**2 - 1371*t/4 + 30 = 0. What is t?
-5, 8/85, 1
Factor 2*g**2 + 7048*g + 161046.
2*(g + 23)*(g + 3501)
Find l such that 3*l**3/5 + 216*l**2/5 - 1881*l + 17922/5 = 0.
-103, 2, 29
Determine a, given that 3*a**2/4 + 219*a/2 + 3996 = 0.
-74, -72
Determine m, given that -2*m**3/13 - 176344*m**2/13 - 3887327130*m/13 - 7773948900/13 = 0.
-44085, -2
Let 524*z**5 + 4871*z**4/3 + 3611*z**3/3 + 316*z**2/3 + 4*z/3 = 0. Calculate z.
-2, -1, -1/12, -2/131, 0
Factor -n**2/3 + 1056*n + 3171.
-(n - 3171)*(n + 3)/3
What is c in 95349*c**4/4 - 47675*c**3 + c**2 = 0?
0, 2/95349, 2
Solve 70*b**2 + 2*b - 276 = 0.
-2, 69/35
Factor -4*f**3 + 724*f**2 - 4236*f + 6300.
-4*(f - 175)*(f - 3)**2
Factor -z**2/5 + 953*z/5 + 3828/5.
-(z - 957)*(z + 4)/5
Let 4*m**5 - 800*m**4 + 5452*m**3 - 9248*m**2 - 3152*m + 12352 = 0. Calculate m.
-1, 2, 4, 193
Factor 2*p**4/21 + 884*p**3/21 - 8112*p**2/7.
2*p**2*(p - 26)*(p + 468)/21
Factor -2*d**3 + 3786*d**2 + 7578*d + 3790.
-2*(d - 1895)*(d + 1)**2
Factor -3*h**2 - 240*h + 59148.
-3*(h - 106)*(h + 186)
Suppose -9*x**5/4 + 2553*x**4/4 - 110145*x**3/2 + 1516383*x**2 - 986634*x = 0. Calculate x.
0, 2/3, 66, 151
Solve -k**4 + 154*k**3 - 589*k**2 - 1644*k - 900 = 0.
-1, 6, 150
Let -v**3/5 - 5106*v**2/5 = 0. Calculate v.
-5106, 0
What is z in z**5 - 10*z**4 - 28*z**3 + 40*z**2 + 96*z = 0?
-2, 0, 2, 12
Determine g, given that 4*g**3/9 + 1124*g**2/9 = 0.
-281, 0
Factor 5*z**2 + 2670590*z + 356602547405.
5*(z + 267059)**2
Solve 4*u**5/13 - 142*u**4/13 + 1122*u**3/13 + 670*u**2/13 - 46*u = 0 for u.
-1, 0, 1/2, 13, 23
Suppose -4*u**2 - 627584*u + 1255184 = 0. Calculate u.
-156898, 2
Factor u**2/5 + 37*u - 25484/5.
(u - 92)*(u + 277)/5
Suppose 2*i**5/7 + 18*i**4 + 2036*i**3/7 + 8136*i**2/7 + 1712*i + 5760/7 = 0. What is i?
-40, -18, -2, -1
Determine w, given that -20*w**3/3 - 37087*w**2/3 - 4325*w + 1854 = 0.
-1854, -3/5, 1/4
Find s such that 9*s**4/5 + 1347*s**3/5 - 4578*s**2/5 + 372*s + 3672/5 = 0.
-153, -2/3, 2
Factor n**4/8 + 5061*n**3/4 + 8537907*n**2/2 + 4801149703*n.
n*(n + 3374)**3/8
Let -c**2/3 - 645*c - 13496/3 = 0. What is c?
-1928, -7
Let 2*m**3 + 806*m**2 - 17700*m + 45792 = 0. Calculate m.
-424, 3, 18
Let 2*v**4 - 1002*v**3 - 1004*v**2 = 0. Calculate v.
-1, 0, 502
Find l such that 2*l**4 + 10236*l**3 - 2*l**2 - 10236*l = 0.
-5118, -1, 0, 1
Find r such that 8*r**3/5 + 114*r**2/5 + 28*r/5 = 0.
-14, -1/4, 0
Factor 8*h**5 - 2328*h**4 + 184482*h**3 - 2148412*h**2.
2*h**2*(h - 14)*(2*h - 277)**2
Suppose 2*i**4/7 - 74*i**3/7 + 84*i**2 - 1296*i/7 = 0. Calculate i.
0, 4, 6, 27
Suppose -j**5/4 + 11*j**4/4 + 67*j**3/2 - 477*j**2/2 - 3285*j/4 + 14175/4 = 0. Calculate j.
-9, -5, 3, 7, 15
Factor -4*h**2 - 200488*h - 601428.
-4*(h + 3)*(h + 50119)
Factor -4*a**2 + 8844*a - 61712.
-4*(a - 2204)*(a - 7)
Solve u**3/4 - 23*u**2/2 + 341*u/4 - 74 = 0.
1, 8, 37
Factor 2*a**3/11 + 7574*a**2/11 - 289978*a/11 + 2761650/11.
2*(a - 19)**2*(a + 3825)/11
Solve -2*z**2 + 122*z + 266784 = 0 for z.
-336, 397
Factor -3*l**3/4 - 5*l**2 + 217*l/4 - 195/2.
-(l - 3)*(l + 13)*(3*l - 10)/4
Determine z so that -4*z**5 + 18944*z**4 + 227720*z**3 + 873392*z**2 + 1139420*z + 474800 = 0.
-5, -1, 4748
Suppose 3*x**5 + 666*x**4 - 10674*x**3 - 1992*x**2 + 33327*x - 21330 = 0. What is x?
-237, -2, 1, 15
Solve -18*y**2/7 + 506*y/7 - 3400/7 = 0 for y.
100/9, 17
Find c, given that 4*c**5 - 848*c**4 + 7304*c**3 + 848*c**2 - 7308*c = 0.
-1, 0, 1, 9, 203
Determine d so that -d**2 + 9457*d + 66248 = 0.
-7, 9464
Factor q**2/6 + 13*q/2 - 396.
(q - 33)*(q + 72)/6
Let -5*k**5 - 115*k**4 - 890*k**3 - 2580*k**2 - 1800*k = 0. What is k?
-10, -6, -1, 0
Solve -5*z**2 + 625*z + 8220 = 0.
-12, 137
Factor u**3/9 + 44*u**2/9 + 523*u/9 + 400/3.
(u + 3)*(u + 16)*(u + 25)/9
Factor -n**3/3 - 353*n**2 - 85008*n + 4570560.
-(n - 45)*(n + 552)**2/3
Factor 27*w**3/2 + 30111*w**2 + 40142*w/3 + 4460/3.
(w + 2230)*(9*w + 2)**2/6
Factor 2*d**2/5 - 52*d/5 - 54/5.
2*(d - 27)*(d + 1)/5
Suppose -882*q**3 - 2289*q**2 - 1920*q - 525 = 0. Calculate q.
-7/6, -5/7
Find d such that d**5/6 + 19*d**4/3 = 0.
-38, 0
Solve 4*c**4 - 340*c**3 - 4272*c**2 + 4608*c = 0.
-12, 0, 1, 96
Factor -2*u**2/9 - 8300*u/3 + 24902/9.
-2*(u - 1)*(u + 12451)/9
Determine g so that 3*g**2/8 - 48*g + 549/2 = 0.
6, 122
Suppose 4*s**3 - 395124*s**2 + 9757488396*s + 9757883524 = 0. What is s?
-1, 49391
Find u such that -14*u**2 - 605686*u - 173052 = 0.
-43263, -2/7
Find r, given that r**3/3 + 2597*r**2/3 - 41780*r/3 + 24388 = 0.
-2613, 2, 14
Factor -52*a**3/3 - 139*a**2 + 153*a.
-a*(a + 9)*(52*a - 51)/3
Factor b**2/3 + 1751962*b/3 + 767342712361/3.
(b + 875981)**2/3
Solve 4*a**2 - 2100*a - 2104 = 0.
-1, 526
Determine y, given that -2*y**4/7 - 68*y**3/7 - 430*y**2/7 - 52*y = 0.
-26, -7, -1, 0
Suppose -4*y**5/7 - 404*y**4/7 - 5548*y**3/7 + 7852*y**2 - 91648*y/7 + 42640/7 = 0. What is y?
-82, -26, 1, 5
Determine b so that 4*b**5/9 + 1306*b**4/9 - 7286*b**3/9 + 6004*b**2/9 + 9280*b/9 - 5312/9 = 0.
-332, -1, 1/2, 2, 4
Factor 3*c**2/5 - 1287*c/5 - 425736/5.
3*(c - 648)*(c + 219)/5
Factor -2*v**3/17 + 470*v**2/17 + 4392*v/17.
-2*v*(v - 244)*(v + 9)/17
Factor -3*v**2/4 - 470391*v/2 - 73755897627/4.
-3*(v + 156797)**2/4
Factor 5*w**5 + 4000*w**4 + 819750*w**3 + 7900000*w**2 + 19503125*w.
5*w*(w + 5)**2*(w + 395)**2
What is o in o**2/8 + 3782*o + 90759/8 = 0?
-30253, -3
Find g such that -g**3/4 - 23*g**2/4 - 8*g + 140 = 0.
-20, -7, 4
Factor -r**3/3 - 406*r**2/3 - 1703*r.
-r*(r + 13)*(r + 393)/3
Factor -5*k**3/4 - 900*k**2 - 154560*k + 2708480.
-5*(k - 16)*(k + 368)**2/4
Suppose 3*u**5 - 17673*u**4 - 35394*u**3 + 212190*u**2 - 247521*u + 88395 = 0. Calculate u.
-5, 1, 5893
Find b, given that b**3/5 - 9178*b**2/5 + 21012956*b/5 + 42209672 = 0.
-10, 4594
Factor 15*u**3 - 32286*u**2 + 77412*u - 25800.
3*(u - 2150)*(u - 2)*(5*u - 2)
Let -3*f**4/7 + 117*f**3/7 - 45*f**2 - 16125*f/7 - 56250/7 = 0. What is f?
-6, -5, 25
Find q such that 2*q**3/13 + 1710*q**2/13 + 457104*q/13 + 2788192 = 0.
-356, -143
Factor -3*p**3/8 + 135*p**2/8 + 1329*p/4 + 315.
-3*(p - 60)*(p + 1)*(p + 14)/8
Find q, given that 3*q**2/2 - 542484*q + 49048148376 = 0.
180828
Find a such that 2*a**2/13 + 358*a/13 + 11316/13 = 0.
-138, -41
Find u such that 4*u**2 - 4136*u - 101568 = 0.
-24, 1058
Determine m so that 4*m**5 + 16*m**4 - 620*m**3 - 1400*m**2 + 22000*m - 20000 = 0.
-10, 1, 5, 10
What is x in 4*x**5 - 300*x**4 + 6432*x**3 - 25120*x**2 - 159936*x + 832320 = 0?
-5, 6, 34
Factor u**4/7 + 6520*u**3/7 + 10660150*u**2/7 + 15159000*u + 37839375.
(u + 5)**2*(u + 3255)**2/7
Solve -2*m**4 + 4594*m**3 - 2626570*m**2 - 13275634*m + 15897612 = 0.
-6, 1, 1151
Solve -4*q**4/7 - 6684*q**3/7 - 6680*q**2/7 = 0 for q.
-1670, -1, 0
Find f, given that 6*f**4/5 + 2126*f**3/5 - 36706*f**2/5 + 145954*f/5 - 16324 = 0.
-371, 2/3, 5, 11
Factor 2*z**4/3 - 1124*z**3/3 + 53382*z**2 - 207576*z.
2*z*(z - 279)**2*(z - 4)/3
Let v**4/4 - 25*v**3/4 + 17*v**2 + 325*v - 336 = 0. Calculate v.
-6, 1, 14, 16
Suppose -54*q**4/7 - 4602*q**3/7 - 86448*q**2/7 - 171912*q/7 - 33984/7 = 0. Calculate q.
-59, -24, -2, -2/9
Factor o**3/3 - 553*o**2/3 - 1109*o/3 - 185.
(o - 555)*(o + 1)**2/3
Suppose 2*k**5/3 - 334*k**4/3 + 2836*k**3/3 + 1336*k**2/3 - 3792*k = 0. Calculate k.
-2, 0, 2, 9, 158
Factor -5*s**2 - 25140*s + 75465.
-5*(s - 3)*(s + 5031)
Solve -2*h**3 + 854*h**2 + 10514*h + 9658 = 0.
-11, -1, 439
Factor 5*n**3 - 4160*n**2 + 120300*n.
5*n*(n - 802)*(n - 30)
Determine d, given that -3*d**3 - 237*d**2 - 5016*d - 129