*(c + 481)**3/3
Solve 4*y**3 - 548*y**2 + 18492*y + 19044 = 0 for y.
-1, 69
What is g in -g**3/3 - 14*g**2/3 + 68*g/3 - 24 = 0?
-18, 2
Find s such that 10*s**3 - 55*s**2 - 100*s - 35 = 0.
-1, -1/2, 7
Factor 2*s**4/3 - 10*s**3/3 + 4*s**2/3 + 16*s/3.
2*s*(s - 4)*(s - 2)*(s + 1)/3
Factor 4*s**2 + 284*s.
4*s*(s + 71)
Let 4*c**2 + 128*c - 740 = 0. Calculate c.
-37, 5
Factor 121*r**3/4 + 77*r**2/4 - 10*r + 1.
(r + 1)*(11*r - 2)**2/4
Factor 2*w**3/7 - 24*w**2 + 648*w/7 - 640/7.
2*(w - 80)*(w - 2)**2/7
Let -4*k**5/11 - k**4/11 + 4*k**3/11 + k**2/11 = 0. What is k?
-1, -1/4, 0, 1
Solve -2*s**5/3 - 5*s**4/3 + 14*s**3 + 136*s**2/3 + 136*s/3 + 15 = 0.
-9/2, -1, 5
Find c, given that -2*c**4 + 6*c**3 + 46*c**2 + 66*c + 28 = 0.
-2, -1, 7
Factor -2*l**5 + 88*l**4 - 86*l**3.
-2*l**3*(l - 43)*(l - 1)
Find c, given that -c**2/5 - 19*c/5 + 4 = 0.
-20, 1
Factor 8*z**5 + 110*z**4 + 600*z**3 + 1620*z**2 + 2160*z + 1134.
2*(z + 3)**4*(4*z + 7)
Factor -2*i**3 - 14*i**2 - 20*i.
-2*i*(i + 2)*(i + 5)
Determine s, given that -s**2 - 114*s - 648 = 0.
-108, -6
Factor 2*y**3 + 266*y**2 - 1088*y + 1096.
2*(y - 2)**2*(y + 137)
Let 2*l**2/3 - 502*l/3 - 508 = 0. Calculate l.
-3, 254
Factor -2*j**2/3 + 44*j/3 + 50.
-2*(j - 25)*(j + 3)/3
Suppose -3*i**4/2 - 231*i**3/2 + 870*i**2 - 1032*i - 2016 = 0. What is i?
-84, -1, 4
Factor 3*x**3/2 + 90*x**2 + 1761*x/2 + 792.
3*(x + 1)*(x + 11)*(x + 48)/2
Factor 3*o**2 - 10746*o + 9623043.
3*(o - 1791)**2
Factor -5*t**2 + 255*t.
-5*t*(t - 51)
Factor -21*j**5 - 36*j**4 + 12*j**3.
-3*j**3*(j + 2)*(7*j - 2)
Determine l, given that l**4/4 - l**3/4 - 9*l**2/4 + 9*l/4 = 0.
-3, 0, 1, 3
Factor 2*i**4 + 26*i**3 + 60*i**2.
2*i**2*(i + 3)*(i + 10)
Find l, given that -2*l**3 - 36*l**2 - 102*l + 140 = 0.
-14, -5, 1
Let 45*m**2 + 3820*m - 425 = 0. Calculate m.
-85, 1/9
Find y, given that 5*y**5 + 95*y**4 + 160*y**3 - 2660*y**2 + 5280*y - 2880 = 0.
-12, 1, 2
Factor -10*i**3/3 - 244*i**2/9 - 512*i/9 - 64/9.
-2*(i + 4)**2*(15*i + 2)/9
Factor p**2/9 + 56*p/9 + 55/9.
(p + 1)*(p + 55)/9
Determine b so that -3*b**2/5 + 828*b/5 - 57132/5 = 0.
138
Solve -3*s**3 + 39*s**2 - 12*s - 864 = 0.
-4, 8, 9
Suppose 3*q**5/7 + 3*q**4/7 - 9*q**3/7 - 3*q**2/7 + 6*q/7 = 0. Calculate q.
-2, -1, 0, 1
Factor y**2 - 2817*y - 2818.
(y - 2818)*(y + 1)
Solve 225*q**2 - 1122*q - 15 = 0.
-1/75, 5
Factor -2*b**3/7 + 12*b**2/7 + 30*b + 28.
-2*(b - 14)*(b + 1)*(b + 7)/7
Suppose -2*u**5/3 + 2*u**3 - 4*u**2/3 = 0. What is u?
-2, 0, 1
Let -2*o**3/15 + 1318*o**2/15 + 5296*o/15 + 1768/5 = 0. What is o?
-2, 663
Let 5*w**3 + 360*w**2 + 6480*w = 0. Calculate w.
-36, 0
Factor 1212*c**2 - 820*c + 8.
4*(3*c - 2)*(101*c - 1)
Determine u so that 3*u**5 + 111*u**4 + 306*u**3 - 12*u**2 - 408*u = 0.
-34, -2, 0, 1
Factor -v**3/4 + 175*v**2/4 - 6603*v/4 - 95139/4.
-(v - 93)**2*(v + 11)/4
Factor -3*i**4/5 - 12*i**3/5 - 3*i**2/5 + 18*i/5.
-3*i*(i - 1)*(i + 2)*(i + 3)/5
Factor -5*l**3 - 25*l**2 + 40*l + 240.
-5*(l - 3)*(l + 4)**2
Let -81*j**5/5 - 684*j**4/5 - 859*j**3/5 - 284*j**2/5 - 28*j/5 = 0. What is j?
-7, -1, -2/9, 0
Determine r so that 2*r**2/15 + 500*r/3 + 156250/3 = 0.
-625
Factor 2*q**3 + 46*q**2 + 40*q - 88.
2*(q - 1)*(q + 2)*(q + 22)
Let -2*l**4 - 14*l**3 - 28*l**2 - 16*l = 0. Calculate l.
-4, -2, -1, 0
Factor 85*c**3 - 215*c**2 - 85*c + 215.
5*(c - 1)*(c + 1)*(17*c - 43)
Factor -2*z**3/7 - 30*z**2/7 - 132*z/7 - 160/7.
-2*(z + 2)*(z + 5)*(z + 8)/7
Factor -w**4 - 11*w**3 + 29*w**2 + 39*w.
-w*(w - 3)*(w + 1)*(w + 13)
Determine b so that -2*b**3/13 + 4*b**2/13 + 2*b/13 - 4/13 = 0.
-1, 1, 2
Factor 5*w**4 + 30*w**3 - 255*w**2 - 580*w - 300.
5*(w - 6)*(w + 1)**2*(w + 10)
Let -4*l**2 - 648*l + 2656 = 0. What is l?
-166, 4
Let 5*j**5 + 5*j**4 - 15*j**3 - 5*j**2 + 10*j = 0. What is j?
-2, -1, 0, 1
Suppose -3*w**3 - 3*w**2 + 60*w = 0. Calculate w.
-5, 0, 4
Determine o so that o**3 - 33*o**2 - 225*o - 351 = 0.
-3, 39
Factor -4*d**4 + 44*d**3 - 36*d**2 - 44*d + 40.
-4*(d - 10)*(d - 1)**2*(d + 1)
Let -2*y**3 - 36*y**2 - 118*y + 156 = 0. What is y?
-13, -6, 1
Factor -2*m**2/5 - 214*m/5 + 132.
-2*(m - 3)*(m + 110)/5
Factor -20*j**4 - 68*j**3 + 176*j**2 + 80*j.
-4*j*(j - 2)*(j + 5)*(5*j + 2)
Find v such that -15*v**4 - 19*v**3 - 6*v**2 = 0.
-2/3, -3/5, 0
Factor 4*p**3/3 - 5*p**2/3 - 104*p/3 + 35.
(p - 1)*(p + 5)*(4*p - 21)/3
Factor -5*o**3 + 40*o**2 - 80*o.
-5*o*(o - 4)**2
Let 8*o**5/9 + 70*o**4/9 + 58*o**3/3 + 80*o**2/9 - 32*o/9 = 0. What is o?
-4, -1, 0, 1/4
Let -c**4/2 + 15*c**2/2 - 5*c - 12 = 0. What is c?
-4, -1, 2, 3
Find k, given that 4*k**4 - 185*k**3 + 546*k**2 + 563*k - 172 = 0.
-1, 1/4, 4, 43
Factor -54*r**2/5 + 1662*r/5 + 372/5.
-6*(r - 31)*(9*r + 2)/5
Factor 4*c**2 - 4*c - 80.
4*(c - 5)*(c + 4)
Factor -2*k**3/3 - 473*k**2/6 - 7021*k/3 - 3481/6.
-(k + 59)**2*(4*k + 1)/6
Suppose -7*u**3 + 170*u**2 - 48*u = 0. Calculate u.
0, 2/7, 24
Factor 2*r**2/13 + 2826*r/13 + 2824/13.
2*(r + 1)*(r + 1412)/13
Determine j, given that -3*j**2/4 - 39*j/2 - 507/4 = 0.
-13
Factor 3*x**3/7 - 3*x**2 - 219*x/7 - 195/7.
3*(x - 13)*(x + 1)*(x + 5)/7
Factor 4*f**4 + 4*f**3 - 360*f**2.
4*f**2*(f - 9)*(f + 10)
Find m such that 3*m**5/4 - 21*m**4/4 + 39*m**3/4 - 3*m**2/4 - 21*m/2 + 6 = 0.
-1, 1, 2, 4
Let 2*l**5/17 - 2*l**4/17 - 22*l**3/17 - 14*l**2/17 + 20*l/17 + 16/17 = 0. What is l?
-2, -1, 1, 4
Factor -2*p**5/11 - 18*p**4/11 - 36*p**3/11.
-2*p**3*(p + 3)*(p + 6)/11
Factor 2*q**2/7 + 3172*q/7 - 3174/7.
2*(q - 1)*(q + 1587)/7
Suppose -4*n**4 - 32*n**3 - 56*n**2 + 32*n + 60 = 0. What is n?
-5, -3, -1, 1
Let -2*r**3/3 - 26*r**2 + 112*r - 344/3 = 0. What is r?
-43, 2
Find b such that 9*b**5 - 168*b**4 - 468*b**3 + 546*b**2 + 459*b - 378 = 0.
-3, -1, 2/3, 1, 21
Suppose 2*n**2 + 384*n + 18432 = 0. What is n?
-96
Find s such that -2*s**4 + 10*s**3 - 6*s**2 - 18*s = 0.
-1, 0, 3
Determine f, given that 3*f**3 + 381*f**2 + 12648*f + 34596 = 0.
-62, -3
Factor -y**5/7 + 12*y**4/7 + 6*y**3/7 - 64*y**2/7 - 93*y/7 - 36/7.
-(y - 12)*(y - 3)*(y + 1)**3/7
Solve 5*p**4 + 16*p**3/3 - 301*p**2/3 - 22*p/3 + 40/3 = 0.
-5, -2/5, 1/3, 4
Factor 4*w**2/7 - 40*w + 700.
4*(w - 35)**2/7
Factor -2*r**3/15 + 12*r**2/5 - 46*r/5 + 104/15.
-2*(r - 13)*(r - 4)*(r - 1)/15
Determine s, given that 4*s**5/3 + 80*s**4/3 + 524*s**3/3 + 1216*s**2/3 + 256*s = 0.
-8, -3, -1, 0
Determine m, given that 5*m**2 - 1800*m = 0.
0, 360
What is k in -216*k**3 + 18900*k**2 - 551250*k + 5359375 = 0?
175/6
Find m such that 7*m**2 + 316*m - 276 = 0.
-46, 6/7
Factor 2*k**3/5 + 24*k**2 - 2654*k/5 - 2772/5.
2*(k - 18)*(k + 1)*(k + 77)/5
Solve 2*s**5/5 + 16*s**4/5 + 18*s**3/5 - 36*s**2/5 = 0.
-6, -3, 0, 1
Find p, given that -5*p**3 + 215*p**2 - 1955*p - 7935 = 0.
-3, 23
Determine h so that 2*h**3/13 + 58*h**2/13 + 30*h - 450/13 = 0.
-15, 1
Determine m so that 4*m**3 + 32*m**2 + 64*m = 0.
-4, 0
Factor -2*a**2 + 436*a - 23762.
-2*(a - 109)**2
Solve -2*d**4 + 12*d**3 + 6*d**2 - 112*d + 96 = 0.
-3, 1, 4
Factor 21*l**2/8 - 195*l/8 + 27/4.
3*(l - 9)*(7*l - 2)/8
Find l, given that 18*l**5/5 - 714*l**4/5 + 452*l**3/5 + 636*l**2/5 - 94*l + 78/5 = 0.
-1, 1/3, 1, 39
Solve p**2 + 2738*p + 1874161 = 0 for p.
-1369
What is i in -2*i**5 - 22*i**4 + 216*i**3 - 608*i**2 + 704*i - 288 = 0?
-18, 1, 2
Determine k so that -k**5/4 - 2*k**4 - 4*k**3 - k**2/2 + 17*k/4 + 5/2 = 0.
-5, -2, -1, 1
Factor 3*y**3 - 33*y**2 - 204*y + 2016.
3*(y - 12)*(y - 7)*(y + 8)
Factor 10*n**3/23 + 16*n**2/23 - 554*n/23 - 336/23.
2*(n - 7)*(n + 8)*(5*n + 3)/23
Solve -4*d**5 - 20*d**4 - 12*d**3 + 20*d**2 + 16*d = 0 for d.
-4, -1, 0, 1
Factor -2*x**2/7 + 780*x - 532350.
-2*(x - 1365)**2/7
Factor 2*x**5 + 10*x**4 - 80*x**2 - 160*x - 96.
2*(x - 3)*(x + 2)**4
What is c in 5*c**2 - 670*c = 0?
0, 134
Factor -x**5 - 3*x**4 + 9*x**3 + 23*x**2 - 24*x - 36.
-(x - 2)**2*(x + 1)*(x + 3)**2
Determine r so that r**5 - 16*r**4 + 13*r**3 + 30*r**2 = 0.
-1, 0, 2, 15
Suppose -4*h**4/3 + 2816*h**3/3 - 247808*h**2 + 87228416*h/3 - 3838050304/3 = 0. Calculate h.
176
Factor 5*w**4/4 - 13*w**3/2 + 12*w**2 - 19*w/2 + 11/4.
(w - 1)**3*(5*w - 11)/4
Factor -20*o**2 + 6416*o - 5120.
-4*(o - 320)*(5*o - 4)
What is o in -4*o**4/7 - 32*o**3/7 - 52*o**2/7 - 24*o/7 = 0?
-6, -1, 0
Factor -3*j**2 + 39*j - 36.
-3*(j - 12)*(j - 1)
Solve -2*m**3/7 - 276*m**2/7 - 1278*m - 12096 = 0 for m.
-96, -21
Determine t so that -2*t**4/7 - 204*t**3/7 - 600*t**2/7 - 596*t/7 - 198/