h**3 + 16514*h**2 + 77088*h + 61568 = 0.
-481, -8, -1
What is x in -x**2/5 - 23508*x/5 - 138156516/5 = 0?
-11754
Factor 4*g**2 - 1480*g - 301344.
4*(g - 516)*(g + 146)
Suppose -3*m**5 + 9*m**4 + 129*m**3 + 279*m**2 + 162*m = 0. Calculate m.
-3, -2, -1, 0, 9
Factor b**3/6 + 4*b**2/3 - 34*b - 72.
(b - 12)*(b + 2)*(b + 18)/6
Factor -4*i**2/5 - 15672*i/5 - 15350724/5.
-4*(i + 1959)**2/5
Suppose -1500*z**2 + 419997*z + 840 = 0. Calculate z.
-1/500, 280
Factor -9*k**2 - 366*k - 240.
-3*(k + 40)*(3*k + 2)
Factor -x**2/4 + 3669*x/4 - 3667/2.
-(x - 3667)*(x - 2)/4
Factor -r**2/6 + 13751*r/3 + 100881/2.
-(r - 27513)*(r + 11)/6
Find q such that -2*q**5 - 170*q**4 + 13954*q**3 - 40278*q**2 = 0.
-137, 0, 3, 49
Determine k, given that 2*k**2/11 - 142*k/11 - 26520/11 = 0.
-85, 156
Let 86*n**2/7 - 1782*n/7 + 1696/7 = 0. What is n?
1, 848/43
Factor 2*p**2 + 4368*p - 4370.
2*(p - 1)*(p + 2185)
Let 295*b**2/2 + 57229*b/2 - 97 = 0. Calculate b.
-194, 1/295
Solve 110*y**3 - 729*y**2 - 284*y - 21 = 0 for y.
-3/11, -1/10, 7
Factor 2*d**3 + 90*d**2 - 2400*d + 13000.
2*(d - 10)**2*(d + 65)
Suppose -16*j**4/17 + 132*j**3/17 - 230*j**2/17 + 84*j/17 = 0. What is j?
0, 1/2, 7/4, 6
Determine h, given that -2*h**4/5 + 68*h**3/5 - 136*h**2 + 2544*h/5 - 576 = 0.
2, 6, 20
Factor -l**3/4 - 745*l**2 - 553532*l + 2226064.
-(l - 4)*(l + 1492)**2/4
Factor 3*t**5 + 5874*t**4 + 35172*t**3 + 70296*t**2 + 46848*t.
3*t*(t + 2)**3*(t + 1952)
Factor h**2/3 + 824*h - 57385/3.
(h - 23)*(h + 2495)/3
Factor -5*i**3 + 904190*i**2 - 1808365*i + 904180.
-5*(i - 180836)*(i - 1)**2
Let -2*s**2 - 159462*s + 956844 = 0. Calculate s.
-79737, 6
Determine c, given that 34971*c**4 + 34977*c**3 - 209820*c**2 - 36*c = 0.
-3, -2/11657, 0, 2
Let 2*k**4/7 + 10844*k**3 + 720328962*k**2/7 + 205775744*k + 720177152/7 = 0. What is k?
-18976, -1
Determine b, given that -4*b**5 - 1176*b**4 + 1204*b**3 + 7064*b**2 - 4752*b - 9440 = 0.
-295, -2, -1, 2
What is o in -o**4 + 308*o**3 + 620*o**2 = 0?
-2, 0, 310
Determine m, given that 2*m**2 - 19838*m - 59532 = 0.
-3, 9922
Solve m**2 + 6127*m + 6126 = 0.
-6126, -1
Solve -3*s**2 - 4197*s - 4194 = 0 for s.
-1398, -1
Factor -2*m**3 + 176*m**2 - 3418*m - 3596.
-2*(m - 58)*(m - 31)*(m + 1)
Solve 48*k**4 - 316728*k**3 + 158307*k**2 + 296937*k - 178146 = 0.
-1, 3/4, 6598
Let 12*q**3 + 241132*q**2 + 1211386884*q + 403768836 = 0. What is q?
-10047, -1/3
Factor 4*j**2/7 + 992*j/7 - 996/7.
4*(j - 1)*(j + 249)/7
What is d in -33*d**5/5 + 246*d**4/5 + 1443*d**3/5 - 6516*d**2/5 + 972*d = 0?
-6, 0, 1, 27/11, 10
Solve 396*k**3 + 30484*k**2/7 + 77528*k/7 - 32 = 0.
-7, -4, 2/693
Factor -s**2/2 - 35905*s - 287208.
-(s + 8)*(s + 71802)/2
Factor 3*p**2 - 2525844*p + 531657326028.
3*(p - 420974)**2
Factor -5*n**2/4 + 295*n/2 + 37510.
-5*(n - 242)*(n + 124)/4
Suppose 513*o**4/2 - 8215*o**3/2 + 43717*o**2/2 - 77545*o/2 + 525 = 0. Calculate o.
7/513, 5, 6
Suppose -i**2 + 25497*i = 0. Calculate i.
0, 25497
Find k such that 96*k**4 - 13564*k**3 + 185364*k**2 - 49536*k - 45360 = 0.
-3/8, 2/3, 15, 126
Determine f so that f**5/4 + 169*f**4/4 - 45*f**3/4 - 7565*f**2/4 + 1711*f + 3549 = 0.
-169, -7, -1, 2, 6
Factor 5*d**5 - 2300*d**4 + 13680*d**3 - 27280*d**2 + 18160*d.
5*d*(d - 454)*(d - 2)**3
Find y such that y**4 + 36*y**3 + 2*y**2 - 5316*y + 14877 = 0.
-29, -19, 3, 9
Factor 3*j**2 - 40482*j - 1013925.
3*(j - 13519)*(j + 25)
Determine y, given that -3*y**2 - 2046*y = 0.
-682, 0
Factor -4*x**5 - 167656*x**4 - 335300*x**3 - 167648*x**2.
-4*x**2*(x + 1)**2*(x + 41912)
Determine t, given that t**2 + 442936*t - 442937 = 0.
-442937, 1
Suppose 2*t**2/7 - 971820*t/7 + 118054264050/7 = 0. What is t?
242955
Suppose -4*c**2 + 6580*c - 6576 = 0. Calculate c.
1, 1644
Factor 2*u**2/9 + 42704*u/9 + 227953952/9.
2*(u + 10676)**2/9
Determine o so that 2*o**3/17 + 41560*o**2/17 + 215904200*o/17 = 0.
-10390, 0
Factor n**3 + 2286*n**2.
n**2*(n + 2286)
Let -2*s**4/5 + 1336*s**3/5 - 1324*s**2/5 - 6664*s/5 - 4002/5 = 0. Calculate s.
-1, 3, 667
Find b, given that 10*b**3/13 - 15166*b**2/13 - 21264*b/13 + 18216/13 = 0.
-2, 3/5, 1518
Factor 5*b**2 + 193770*b + 1877340645.
5*(b + 19377)**2
Find r, given that -2*r**2 - 196*r - 1274 = 0.
-91, -7
Determine l, given that 2*l**5/11 + 6586*l**4/11 + 39454*l**3/11 + 32870*l**2/11 = 0.
-3287, -5, -1, 0
Find j such that -2*j**2/7 - 1546*j/7 - 7680/7 = 0.
-768, -5
Factor 5*k**3 - 623600*k**2 + 1247185*k - 623590.
5*(k - 124718)*(k - 1)**2
Solve -a**4/6 + 71*a**3/6 - 1321*a**2/6 + 1467*a/2 - 525 = 0.
1, 3, 25, 42
Suppose 5*z**5/2 + 2945*z**4/2 - 17855*z**3/2 - 2945*z**2/2 + 8925*z = 0. Calculate z.
-595, -1, 0, 1, 6
What is q in -10*q**5 + 155*q**4/2 - 615*q**3/4 + 335*q**2/4 - 25*q/2 = 0?
0, 1/4, 1/2, 2, 5
Factor m**4/3 + 506*m**3/3 - m**2/3 - 506*m/3.
m*(m - 1)*(m + 1)*(m + 506)/3
Suppose f**2/2 + 490245*f + 240340160025/2 = 0. What is f?
-490245
Factor -5*h**2 - 1000*h + 22000.
-5*(h - 20)*(h + 220)
Determine x, given that -3*x**2/7 - 9063*x/7 - 9060/7 = 0.
-3020, -1
Factor 18388*o**3/7 - 18380*o**2/7 - 8*o/7.
4*o*(o - 1)*(4597*o + 2)/7
Suppose 4*m**2 + 3892*m - 79440 = 0. Calculate m.
-993, 20
Let 3*n**4/5 + 4038*n**3 + 34010031*n**2/5 + 27159588*n + 135717228/5 = 0. What is n?
-3363, -2
Determine o, given that -2*o**2/7 - 2069380*o/7 - 535291698050/7 = 0.
-517345
Factor 3*a**2/4 - 24615*a + 49227.
3*(a - 32818)*(a - 2)/4
Solve -2*c**4/5 + 68*c**3 - 15776*c**2/5 + 245568*c/5 - 244224 = 0.
12, 40, 106
Find g, given that -2*g**5 - 623*g**4/3 - 508*g**3/3 + 242*g**2 + 514*g/3 - 103/3 = 0.
-103, -1, 1/6, 1
Let -5*h**3 + 2495*h**2 - 111455*h - 356955 = 0. Calculate h.
-3, 53, 449
Determine y so that 2*y**5/9 + 1330*y**4/9 + 300788*y**3/9 + 24409028*y**2/9 + 289785706*y/9 + 265676138/9 = 0.
-217, -13, -1
Factor a**2/3 - 397*a/3 + 7884.
(a - 324)*(a - 73)/3
Determine m, given that -107*m**5 - 109*m**4 + 2245*m**3 + 149*m**2 - 2138*m - 40 = 0.
-5, -1, -2/107, 1, 4
What is c in -4*c**2/9 - 9404*c/9 - 101992/3 = 0?
-2318, -33
Suppose 2*o**2/3 + 32656*o/3 + 133301792/3 = 0. Calculate o.
-8164
Find z, given that z**4/3 + 7*z**3/3 - 101*z**2 - 21*z + 882 = 0.
-21, -3, 3, 14
Solve -39*a**5/7 + 275*a**4/7 - 599*a**3/7 + 537*a**2/7 - 26*a + 8/7 = 0.
2/39, 1, 4
Solve 3*s**4 + 609*s**3 + 4653*s**2 - 5265*s = 0 for s.
-195, -9, 0, 1
Factor -w**2 - 73526*w + 147056.
-(w - 2)*(w + 73528)
Suppose 3*m**4 - 1083*m**3 + 20769*m**2 - 105837*m + 159588 = 0. What is m?
3, 4, 13, 341
Let -2*c**4 + 342*c**3 - 19530*c**2 + 391706*c - 1008420 = 0. What is c?
3, 49, 70
Factor -70*a**2 + 48374*a - 2764.
-2*(a - 691)*(35*a - 2)
Factor 2*u**3 - 154802*u**2 + 2995534800*u - 2995380000.
2*(u - 38700)**2*(u - 1)
Factor -2*r**3/5 - 1894*r**2/5 - 85974*r + 8864982/5.
-2*(r - 19)*(r + 483)**2/5
Solve 2*j**4/15 + 14*j**3/15 - 34*j**2/15 - 42*j/5 + 48/5 = 0.
-8, -3, 1, 3
Determine f, given that -10*f**2/3 - 214*f - 7028/3 = 0.
-251/5, -14
Determine k, given that 15*k**3 + 23395*k**2 + 201430*k - 310200 = 0.
-1551, -10, 4/3
What is r in 3*r**2 + 50076*r + 208967148 = 0?
-8346
Let -y**2 + 12609*y + 202000 = 0. What is y?
-16, 12625
Find y, given that 5*y**2 + 2345410*y - 2345415 = 0.
-469083, 1
Let -70*f**5 - 365*f**4 + 915*f**3 + 260*f**2 - 140*f = 0. Calculate f.
-7, -1/2, 0, 2/7, 2
Find y, given that 3*y**3 - 64200*y**2 + 128391*y - 64194 = 0.
1, 21398
Factor 2*x**2/7 - 13120*x/7 + 21516800/7.
2*(x - 3280)**2/7
Solve r**3/2 - 115*r**2/2 + 223*r/2 + 339/2 = 0.
-1, 3, 113
Let 2*j**2/3 + 37048*j/3 - 741760/3 = 0. What is j?
-18544, 20
Solve -3*t**2 - 5826*t + 11664 = 0.
-1944, 2
Solve -10*u**3 - 56784*u**2 - 646082*u - 249348 = 0 for u.
-5667, -11, -2/5
What is i in 5*i**3 + 32160*i**2 + 51552105*i - 518742050 = 0?
-3221, 10
Factor -3*g**2/2 + 8433*g/2 + 16890.
-3*(g - 2815)*(g + 4)/2
Solve f**3/4 - 19327*f**2/4 + 93315551*f/4 + 654156223/4 = 0.
-7, 9667
Factor -o**4 + 832*o**3 + 169169*o**2.
-o**2*(o - 1001)*(o + 169)
Factor -y**4 - 1613*y**3 + 12963*y**2 - 8155*y - 81050.
-(y - 5)**2*(y + 2)*(y + 1621)
Find y such that 3*y**3/2 - 16005*y**2/2 + 31992*y - 31986 = 0.
2, 5331
Factor -2194*t**2/7 + 626*t + 12/7.
-2*(t - 2)*(1097*t + 3)/7
Suppose -900*n**5 - 3703540*n**4 - 3808288025*n**3 + 3641651570*n**2 - 783583500*n - 42353640 = 0. Calculate n.
-2058, -2/45, 1/2
Find i, given that -4*i**2 - 6656*i - 66160 = 0.
-1654, -10