 that u**4/2 + 505*u**3/2 + 9333*u**2/2 + 48195*u/2 + 19683 = 0.
-486, -9, -1
Factor 1575*u**3 + 105780*u**2 + 1766995*u - 306030.
5*(3*u + 101)**2*(35*u - 6)
Factor y**3/4 - 51*y**2/2 - 3240*y + 332424.
(y - 108)**2*(y + 114)/4
Determine v, given that -15*v**5 - 1615*v**4 - 7170*v**3 + 4190*v**2 + 7185*v - 2575 = 0.
-103, -5, -1, 1/3, 1
Factor 160*s**3 + 235*s**2 - 640*s - 940.
5*(s - 2)*(s + 2)*(32*s + 47)
Determine r, given that -3*r**5 + 33*r**4 - 105*r**3 + 75*r**2 = 0.
0, 1, 5
What is o in o**5/4 + 125*o**4/4 - 4185*o**3/4 + 15075*o**2/4 - 2754*o = 0?
-153, 0, 1, 3, 24
Factor -5*s**2 + 96410*s + 578640.
-5*(s - 19288)*(s + 6)
What is r in -5*r**2 + 87605*r - 87600 = 0?
1, 17520
Factor -3*u**3/2 - 105*u**2/2 + 52599*u/2 + 3398109/2.
-3*(u - 143)*(u + 89)**2/2
Let -l**3/5 - 3096*l**2/5 - 9279*l/5 = 0. Calculate l.
-3093, -3, 0
Suppose -3*b**4/2 - 7350*b**3 - 9018438*b**2 - 35985600*b - 35956224 = 0. What is b?
-2448, -2
Factor -t**2/2 + 190120*t + 380241/2.
-(t - 380241)*(t + 1)/2
Find n such that -n**2 - 62202*n - 967272201 = 0.
-31101
Solve -2*u**3 + 636*u**2 + 20430*u + 156600 = 0.
-15, 348
Find m, given that 2*m**3/9 + 3376*m**2/9 + 479360*m/3 + 1254400 = 0.
-840, -8
Factor 5*c**4 - 8460*c**3 + 3578535*c**2 + 76140*c - 32207220.
5*(c - 846)**2*(c - 3)*(c + 3)
Factor c**2/8 - 3559*c/4 + 12666481/8.
(c - 3559)**2/8
What is m in -2*m**2/11 + 9342*m/11 + 472100/11 = 0?
-50, 4721
Find r, given that 5*r**2 - 29868*r - 11948 = 0.
-2/5, 5974
Let -3*t**3/7 + 1884*t**2 + 9429*t + 52812/7 = 0. Calculate t.
-4, -1, 4401
Factor -2*j**3/5 + 38*j**2 - 4856*j/5 + 16512/5.
-2*(j - 48)*(j - 43)*(j - 4)/5
Factor -3*b**2/4 + 16465*b/4 - 1372.
-(b - 5488)*(3*b - 1)/4
Find g such that 3*g**2/2 + 11481*g - 22968 = 0.
-7656, 2
Find y, given that 147*y**5/5 + 264201*y**4/5 + 603354*y**3/5 + 420078*y**2/5 + 86163*y/5 + 1077 = 0.
-1795, -1, -1/7
Find k such that 1150*k**2/3 - 8432*k - 88/3 = 0.
-2/575, 22
Suppose 4*x**5 + 1416*x**4 + 20552*x**3 + 71952*x**2 + 28116*x - 122040 = 0. What is x?
-339, -10, -3, 1
Find z, given that 900*z**2 - 32399*z - 36 = 0.
-1/900, 36
Factor -v**3 - 314*v**2 + 48151*v + 16208864.
-(v - 224)*(v + 269)**2
Factor -2*r**3 - 278*r**2 - 7206*r - 6930.
-2*(r + 1)*(r + 33)*(r + 105)
Let 2*m**2/5 + 30664*m + 153318/5 = 0. Calculate m.
-76659, -1
Find f, given that f**4 - 107*f**3 - 1029*f**2 - 1765*f + 2900 = 0.
-5, 1, 116
Determine j, given that j**4 - 818*j**3 + 2447*j**2 - 1630*j = 0.
0, 1, 2, 815
Factor -2*y**3/11 - 426740*y**2/11 + 426742*y/11.
-2*y*(y - 1)*(y + 213371)/11
Let 4*i**5 - 348*i**4 + 6120*i**3 + 21584*i**2 + 1440*i - 28800 = 0. What is i?
-2, 1, 30, 60
Let -48*p**5 - 476*p**4 - 1600*p**3 - 2424*p**2 - 1712*p - 460 = 0. Calculate p.
-5, -23/12, -1
What is j in 2*j**4 + 1638*j**3 - 161572*j**2 + 3687912*j + 3851120 = 0?
-910, -1, 46
What is h in -3*h**4 - 102*h**3 - 729*h**2 - 1350*h = 0?
-25, -6, -3, 0
Determine l, given that 8*l**3 - 4799262*l**2 + 719778017112*l + 179944804232 = 0.
-1/4, 299954
Let -8*p**3/9 + 32818*p**2/9 + 24620*p/9 - 8206/9 = 0. What is p?
-1, 1/4, 4103
Factor -2*n**3/15 - 110824*n**2/15 + 88664*n/3 - 147776/5.
-2*(n - 2)**2*(n + 55416)/15
Suppose 7*g**2 - 101*g + 130 = 0. What is g?
10/7, 13
Suppose 3*d**3/7 - 669*d**2/7 + 41985*d/7 - 115425 = 0. Calculate d.
45, 133
Factor 3*b**3/5 - 174*b**2/5 - 2667*b - 13158/5.
3*(b - 102)*(b + 1)*(b + 43)/5
Suppose -l**3/5 + 81602*l**2/5 + 163211*l/5 - 244812/5 = 0. What is l?
-3, 1, 81604
Factor 49628*b**2 + 248148*b + 40.
4*(b + 5)*(12407*b + 2)
Solve -2*o**2 - 460*o + 4800 = 0 for o.
-240, 10
Factor -2*v**3/13 - 124354*v**2/13 - 1932678742*v/13 + 9666502810/13.
-2*(v - 5)*(v + 31091)**2/13
Factor -5*w**3 + 130*w**2 + 1995*w - 7020.
-5*(w - 36)*(w - 3)*(w + 13)
Factor 3*q**2/2 + 2595*q/2 + 9009.
3*(q + 7)*(q + 858)/2
Factor -y**3/3 - 1210*y**2 - 19296*y - 231296/3.
-(y + 8)**2*(y + 3614)/3
Find f, given that -f**2/2 - 3453*f + 6908 = 0.
-6908, 2
Factor 2*j**4 + 626*j**3 - 9812*j**2 + 9184*j.
2*j*(j - 14)*(j - 1)*(j + 328)
Determine q so that 28*q**4 - 2536*q**3 + 423348*q**2/7 - 450864*q/7 - 22034160/7 = 0.
-6, 10, 303/7
Factor o**2/5 - 3634*o + 16507445.
(o - 9085)**2/5
Find z, given that 5*z**3 - 7890*z**2 + 148105*z = 0.
0, 19, 1559
Determine x so that -8*x**4 + 74*x**3 - 184*x**2 + 178*x - 60 = 0.
1, 5/4, 6
Factor p**4/8 + 367*p**3/4 - 3687*p**2/8 + 1477*p/2 - 739/2.
(p - 2)**2*(p - 1)*(p + 739)/8
Determine i, given that -11732500*i**5 - 2949750*i**4 + 949675*i**3/4 + 73510*i**2 + 1527*i/4 + 1/2 = 0.
-1/5, -1/380, 2/13
Find f such that 3*f**3 + 124*f**2 + 1001*f = 0.
-91/3, -11, 0
Factor 2*t**4/7 - 33230*t**3/7 + 166100*t**2/7.
2*t**2*(t - 16610)*(t - 5)/7
Determine q so that 2*q**5/9 - 23536*q**4/9 + 69289970*q**3/9 - 276901036*q**2/9 + 346026296*q/9 - 138391696/9 = 0.
1, 2, 5882
Factor 2*a**4/9 + 7108*a**3/9 + 6322562*a**2/9 + 4207936*a/3 + 700928.
2*(a + 1)**2*(a + 1776)**2/9
Factor 2*g**4/9 - 4340*g**3 - 39062*g**2/9.
2*g**2*(g - 19531)*(g + 1)/9
Solve -4*s**3/5 + 684*s**2/5 + 2088*s/5 = 0.
-3, 0, 174
Suppose 3*c**4 - 124*c**3/7 - 159*c**2/7 + 178*c + 120/7 = 0. What is c?
-3, -2/21, 4, 5
Determine n so that n**2/5 - 627*n/5 - 1258/5 = 0.
-2, 629
Let -2*x**5/3 - 52198*x**4/3 + 2*x**3 + 156598*x**2/3 + 104396*x/3 = 0. Calculate x.
-26099, -1, 0, 2
Suppose -7*k**5/6 + 5183*k**4/12 - 7199*k**3/4 + 497*k**2/6 + 9509*k/3 + 854 = 0. Calculate k.
-1, -2/7, 2, 7/2, 366
Factor 3*t**2 - 58671*t.
3*t*(t - 19557)
Find t such that 5*t**2 + 7427400*t + 2758313538000 = 0.
-742740
Factor -k**2 + 2621*k + 47502.
-(k - 2639)*(k + 18)
Solve -4*k**5 + 520*k**4 + 9284*k**3 + 10760*k**2 - 290000*k - 292000 = 0.
-10, -1, 5, 146
Factor -24*h**3 + 57*h**2 - 33*h.
-3*h*(h - 1)*(8*h - 11)
Solve 5*p**3 - 10615*p**2 + 231715*p - 1271105 = 0.
11, 2101
Factor 2*o**3 + 190*o**2 + 736*o + 728.
2*(o + 2)**2*(o + 91)
Factor -3*g**2 - 48735*g - 48732.
-3*(g + 1)*(g + 16244)
Factor -5*h**4 - 510*h**3 - 10785*h**2 + 114400*h - 181500.
-5*(h - 6)*(h - 2)*(h + 55)**2
Suppose 2*x**2/11 + 3627700*x/11 + 1645025911250/11 = 0. Calculate x.
-906925
Factor 2*d**2/3 + 6908*d + 20722/3.
2*(d + 1)*(d + 10361)/3
Solve -5*g**3 - 1215*g**2 - 51235*g - 300825 = 0 for g.
-191, -45, -7
Suppose 2*x**2/13 + 300*x/13 + 4050/13 = 0. Calculate x.
-135, -15
Find c such that c**2 - 9346*c + 18688 = 0.
2, 9344
Determine u, given that -u**4/6 - 935*u**3/6 - 8754*u**2 - 122490*u + 131400 = 0.
-876, -30, 1
Factor -q**3/5 + 533*q**2/5 - 3171*q/5 + 4743/5.
-(q - 527)*(q - 3)**2/5
Let -z**3 + 224*z**2 + 2340*z = 0. What is z?
-10, 0, 234
Suppose -4*n**5 - 80*n**4 + 728*n**3 + 4944*n**2 - 18900*n = 0. Calculate n.
-25, -7, 0, 3, 9
Solve -2*i**4/5 + 98*i**3/5 - 180*i**2 + 2488*i/5 - 2128/5 = 0 for i.
2, 7, 38
Factor -s**3/6 + 2207*s**2/2 - 19809*s.
-s*(s - 6603)*(s - 18)/6
Factor 2*q**5/3 + 248*q**4/3 + 244*q**3 + 728*q**2/3 + 242*q/3.
2*q*(q + 1)**3*(q + 121)/3
Solve z**3 - 1631*z**2 + 654312*z + 8783892 = 0.
-13, 822
Let 4*u**5 - 6328*u**4 - 38148*u**3 + 57112*u**2 + 88928*u = 0. What is u?
-7, -1, 0, 2, 1588
Suppose -2*p**3 - 368*p**2 - 11752*p + 24992 = 0. What is p?
-142, -44, 2
Factor -w**2 - 1539*w - 578088.
-(w + 651)*(w + 888)
Let -76*i**5 - 1889*i**4 - 8235*i**3 + 45970*i**2 - 6244*i - 1176 = 0. What is i?
-14, -2/19, 1/4, 3
Solve 3*f**4 - 4773*f**3 + 19011*f**2 + 52353*f + 28566 = 0 for f.
-1, 6, 1587
Factor -3*t**4 + 78*t**3 + 1461*t**2 - 8880*t.
-3*t*(t - 37)*(t - 5)*(t + 16)
Determine y so that 3*y**5 - 4449*y**4 + 2209590*y**3 - 372563064*y**2 + 2514076704*y - 2143718784 = 0.
1, 6, 492
Let 2*m**2 + 1302356*m + 212016393842 = 0. What is m?
-325589
Factor -6*s**2/5 - 948*s/5 - 24192/5.
-6*(s + 32)*(s + 126)/5
Let 2*x**2/7 - 841816*x/7 - 2525466/7 = 0. Calculate x.
-3, 420911
Factor -5*h**3 - 8835*h**2 - 1833675*h - 101634125.
-5*(h + 115)**2*(h + 1537)
Factor 2*p**2/5 + 36*p - 6480.
2*(p - 90)*(p + 180)/5
Find x such that x**5/3 - 5*x**4/3 - 31*x**3/3 - 43*x**2/3 - 6*x = 0.
-2, -1, 0, 9
Solve 2*m**3 + 2202*m**2 - 2204*m = 0.
-1102, 0, 1
Factor -5*m**3 + 1595*m**2 - 126400*m - 128000.
-5*(m - 160)**2*(m + 1)
Factor 72*n**2 - 44*n - 376.
4*(n + 2)*(18*n - 47)
Suppose 5*u**2 + 5865*u - 71100 = 0. Calculate u.
-1185, 12
Let b**3/4 + 16337*b**2/4 + 66716223*b/4 - 66732561/4 = 0. Calculate b.
-8169, 1
Determin