r 8*c**4/19 + 448*c**3/19 + 318*c**2 - 342*c.
2*c*(c - 1)*(2*c + 57)**2/19
Let 2*t**5/3 - 260*t**4/3 + 12800*t**3/3 - 286720*t**2/3 + 2621440*t/3 - 4194304/3 = 0. Calculate t.
2, 32
Solve -5*y**3 + 80*y**2 + 85*y = 0 for y.
-1, 0, 17
Factor 2*l**3/13 - 238*l**2/13 - 2*l/13 + 238/13.
2*(l - 119)*(l - 1)*(l + 1)/13
Factor j**4/7 - 6*j**3 + 285*j**2/7 - 64*j + 204/7.
(j - 34)*(j - 6)*(j - 1)**2/7
Factor 2*k**4/5 + 316*k**3/5 + 2432*k**2 - 5120*k.
2*k*(k - 2)*(k + 80)**2/5
Solve 3*x**2/2 - 237*x/2 - 630 = 0 for x.
-5, 84
Solve -2*w**2/17 + 3414*w/17 = 0 for w.
0, 1707
Suppose -10*m**5 + 75*m**4 - 80*m**3 - 60*m**2 = 0. What is m?
-1/2, 0, 2, 6
Determine d so that 2*d**2/11 + 3056*d/11 + 1167392/11 = 0.
-764
Find y such that 2*y**5/13 + 70*y**4/13 + 766*y**3/13 + 2738*y**2/13 + 3840*y/13 + 1800/13 = 0.
-15, -2, -1
Factor -2*d**3/5 + 42*d**2/5 - 142*d/5 + 102/5.
-2*(d - 17)*(d - 3)*(d - 1)/5
Factor -t**4/4 + 13*t**3/2 - 49*t**2/4 + 6*t.
-t*(t - 24)*(t - 1)**2/4
Find j such that 4*j**3/5 - 616*j**2/5 - 1876*j/5 - 1256/5 = 0.
-2, -1, 157
Suppose 3*z**5 - 29*z**4 + 98*z**3 - 132*z**2 + 40*z + 32 = 0. What is z?
-1/3, 2, 4
What is d in 2*d**4/9 + 2*d**3/9 - 4*d**2/9 = 0?
-2, 0, 1
Factor 243*h**2/5 + 45144*h/5 + 2096688/5.
3*(9*h + 836)**2/5
Let -2*i**4/3 + 336*i**3 - 1004*i**2 + 3008*i/3 - 334 = 0. What is i?
1, 501
Find t, given that -2*t**4/7 - 8*t**3/7 + 10*t**2/7 = 0.
-5, 0, 1
Determine w so that 6*w**5/7 - 6*w**3/7 = 0.
-1, 0, 1
Factor -2*k**5 + 4*k**4 - 4*k**2 + 2*k.
-2*k*(k - 1)**3*(k + 1)
Factor l**2/6 - 27*l/2 - 42.
(l - 84)*(l + 3)/6
Factor -4*x**2 - 216*x + 448.
-4*(x - 2)*(x + 56)
Let 4*t**2 - 608*t = 0. Calculate t.
0, 152
Let -4*p**5 - 68*p**4 - 316*p**3 - 620*p**2 - 544*p - 176 = 0. What is p?
-11, -2, -1
Suppose q**5 - 6*q**4 + 9*q**3 + 4*q**2 - 12*q = 0. What is q?
-1, 0, 2, 3
Factor 5*x**3 + 580*x**2 + 22320*x + 285120.
5*(x + 36)**2*(x + 44)
Factor -a**5/5 - 3*a**4/5 + 64*a**3/5 - 232*a**2/5 + 336*a/5 - 176/5.
-(a - 2)**4*(a + 11)/5
Solve 3*v**5/4 + 27*v**4/4 + 45*v**3/2 + 69*v**2/2 + 99*v/4 + 27/4 = 0 for v.
-3, -1
Suppose -1156*b**3 + 204*b**2 + 960*b - 400 = 0. What is b?
-1, 10/17
Factor -2*r**5/13 - 30*r**4/13 - 6*r**3 - 74*r**2/13 - 24*r/13.
-2*r*(r + 1)**3*(r + 12)/13
Let -20*u**5 + 32*u**4 + 76*u**3 + 24*u**2 = 0. What is u?
-1, -2/5, 0, 3
Factor -15*s**2 + 10*s/3.
-5*s*(9*s - 2)/3
Let h**3/7 + 48*h**2/7 - 7*h = 0. Calculate h.
-49, 0, 1
Factor -o**3/3 + 158*o**2 + 475*o/3.
-o*(o - 475)*(o + 1)/3
Determine w so that 1874161*w**2 + 5476*w + 4 = 0.
-2/1369
Find n such that -n**4 + 26*n**3/7 - 13*n**2/7 - 6*n/7 = 0.
-2/7, 0, 1, 3
Solve 2*z**3/15 + 58*z**2/15 + 64*z/3 + 88/5 = 0 for z.
-22, -6, -1
Solve -5*q**2 + 155*q + 510 = 0.
-3, 34
Suppose v**4/3 - v**3/3 - 6*v**2 + 16*v/3 + 32/3 = 0. What is v?
-4, -1, 2, 4
Find t such that t**4/10 + 6*t**3/5 - 9*t**2/5 - 34*t/5 - 39/10 = 0.
-13, -1, 3
Determine q, given that 2*q**4 - 614*q**3/5 + 8564*q**2/5 + 27392*q/5 - 12288/5 = 0.
-3, 2/5, 32
Factor -2*u**3 + 11514*u**2 - 22095366*u + 14133669118.
-2*(u - 1919)**3
Factor -2*c**3/9 - 8*c**2/3 - 10*c - 12.
-2*(c + 3)**2*(c + 6)/9
Determine y so that -15*y**4 - 3*y**3 + 15*y**2 + 3*y = 0.
-1, -1/5, 0, 1
Find f such that f**3 + 355*f**2 - 1423*f/4 + 89 = 0.
-356, 1/2
Factor 2*q**2 - 238*q + 236.
2*(q - 118)*(q - 1)
Factor 4*w**4 + 160*w**3 + 2008*w**2 + 8160*w + 10404.
4*(w + 3)**2*(w + 17)**2
Determine b so that 2*b**2/3 - 268*b/3 + 8978/3 = 0.
67
Suppose 5*r**3 - 4970*r**2 - 5*r + 4970 = 0. Calculate r.
-1, 1, 994
Determine w, given that -2*w**2/15 + 172*w/15 + 178/5 = 0.
-3, 89
Factor -5*v**2 + 9350*v - 9345.
-5*(v - 1869)*(v - 1)
What is k in -2*k**3 - 458*k**2 - 26448*k - 25992 = 0?
-114, -1
Find p such that 5*p**3 + 1420*p**2 + 100820*p = 0.
-142, 0
Determine j so that -3*j**5/2 + 105*j**4/2 + 219*j**3/2 + 111*j**2/2 = 0.
-1, 0, 37
Suppose 3*p**5 - 3*p**4 - 18*p**3 + 42*p**2 - 33*p + 9 = 0. What is p?
-3, 1
Let t**4 + 9*t**3 + 22*t**2 - 32 = 0. Calculate t.
-4, -2, 1
Solve -3*j**4/2 + 33*j**3/2 + 279*j**2/2 + 459*j/2 = 0.
-3, 0, 17
Factor 2*j**2/3 + 1352*j + 685464.
2*(j + 1014)**2/3
Suppose -2*q**3/13 + 180*q**2/13 + 2376*q/13 + 7344/13 = 0. What is q?
-6, 102
Factor -5*c**5 - 15*c**4 + 170*c**3 - 260*c**2 - 120*c + 320.
-5*(c - 2)**3*(c + 1)*(c + 8)
Determine h so that -2*h**5/21 + 4*h**4/7 - 20*h**3/21 + 22*h/21 - 4/7 = 0.
-1, 1, 2, 3
Factor -t**3/4 + 17*t**2 - 979*t/4 + 228.
-(t - 48)*(t - 19)*(t - 1)/4
Suppose -2*u**3/7 - 4*u**2/7 + 78*u/7 - 144/7 = 0. Calculate u.
-8, 3
What is g in 7*g**5/4 - g**4/2 - 91*g**3/4 - 29*g**2/2 + 6*g = 0?
-3, -1, 0, 2/7, 4
What is s in -2*s**5 + 156*s**4 - 1914*s**3 + 7976*s**2 - 10824*s + 4608 = 0?
1, 6, 64
What is i in -i**4 + 9*i**3 + 42*i**2 - 64*i - 96 = 0?
-4, -1, 2, 12
Let -4*v**3 - 606*v**2 - 22800*v + 11552 = 0. Calculate v.
-76, 1/2
Factor -4*x**2 + 16*x + 20.
-4*(x - 5)*(x + 1)
Solve l**5/9 + 13*l**4/9 + 14*l**3/3 - 6*l**2 - 51*l - 63 = 0.
-7, -3, 3
Find h, given that -2*h**3 + 36*h**2 - 118*h + 84 = 0.
1, 3, 14
Find a such that a**3/6 - 2*a**2 = 0.
0, 12
Find y, given that -5*y**2 + 755*y - 5720 = 0.
8, 143
Factor -27*n**3/7 - 6*n**2 + 24*n/7.
-3*n*(n + 2)*(9*n - 4)/7
Let -2*k**5/15 + 36*k**4 - 11966*k**3/5 - 75616*k**2/15 + 36992*k/5 = 0. What is k?
-3, 0, 1, 136
Factor -3*t**5/5 + 9*t**3/5 + 6*t**2/5.
-3*t**2*(t - 2)*(t + 1)**2/5
Factor -x**2/3 + 17*x.
-x*(x - 51)/3
What is m in -2*m**2/15 + 2/15 = 0?
-1, 1
Factor -j**5/4 + 2*j**4 - 15*j**3/4.
-j**3*(j - 5)*(j - 3)/4
Determine l, given that -l**2 + 28*l - 52 = 0.
2, 26
Factor d**4/2 + 17*d**3 + 253*d**2/2 - 306*d + 162.
(d - 1)**2*(d + 18)**2/2
Suppose 2*z**5/5 + 12*z**4/5 - 14*z**3/5 = 0. What is z?
-7, 0, 1
Factor -4*n**3/7 - 792*n**2/7.
-4*n**2*(n + 198)/7
Solve -3*v**2 + 2940*v - 720300 = 0.
490
Factor 5*n**3 - 45*n.
5*n*(n - 3)*(n + 3)
Factor 3*v**5 + 6*v**4 - 3*v**3 - 6*v**2.
3*v**2*(v - 1)*(v + 1)*(v + 2)
Let -6*j**3 + 38*j**2 - 60*j + 16 = 0. Calculate j.
1/3, 2, 4
Find h such that 8*h**5 + 70*h**4 + 198*h**3 + 162*h**2 - 54*h = 0.
-3, 0, 1/4
Find q, given that 434*q**2/9 + 2164*q/9 - 10/3 = 0.
-5, 3/217
Find c such that 147*c**5 - 1638*c**4 + 4416*c**3 + 1638*c**2 - 4563*c = 0.
-1, 0, 1, 39/7
Factor 4*q**2 + 648*q + 26244.
4*(q + 81)**2
Factor -3*v**4 + 168*v**3 + 3*v**2 - 168*v.
-3*v*(v - 56)*(v - 1)*(v + 1)
Solve -n**4/5 + 17*n**3/5 - 104*n**2/5 + 268*n/5 - 48 = 0.
2, 4, 5, 6
Let 4*b**5 - 20*b**4 - 24*b**3 + 128*b**2 + 128*b = 0. What is b?
-2, -1, 0, 4
Suppose 2*d**5 - 1062*d**4 - 2*d**3 + 1062*d**2 = 0. Calculate d.
-1, 0, 1, 531
Suppose -2*g**3/3 - 2*g**2/3 + 8*g = 0. Calculate g.
-4, 0, 3
Let -4*c**3 + 704*c**2 - 4780*c + 8112 = 0. What is c?
3, 4, 169
Let 5*g**5/3 + 715*g**4 + 14860*g**3/3 + 38080*g**2/3 + 14080*g + 16880/3 = 0. What is g?
-422, -2, -1
Determine v so that 4*v**5/9 - 7*v**4/3 + 17*v**3/9 + 17*v**2/9 - 7*v/3 + 4/9 = 0.
-1, 1/4, 1, 4
Factor i**5 - 7*i**4 + 17*i**3 - 17*i**2 + 6*i.
i*(i - 3)*(i - 2)*(i - 1)**2
Factor -n**3 - 4*n**2 + 5*n.
-n*(n - 1)*(n + 5)
Factor 30*n**2/7 + 32*n/7 + 8/7.
2*(3*n + 2)*(5*n + 2)/7
Factor b**2/4 - 21*b/2.
b*(b - 42)/4
Factor l**5 - 38*l**4 + 422*l**3 - 1036*l**2 - 1479*l + 5202.
(l - 17)**2*(l - 3)**2*(l + 2)
Factor -3*x**2/2 + 21*x - 72.
-3*(x - 8)*(x - 6)/2
Determine z, given that -9*z**3/4 - 159*z**2/2 - 675*z + 486 = 0.
-18, 2/3
Factor -2*s**2/9 + 20*s/3 + 128/9.
-2*(s - 32)*(s + 2)/9
Solve -17*d**2/11 + 274*d/11 - 32/11 = 0.
2/17, 16
Suppose -5*u**3 - 5*u**2 + 30*u = 0. Calculate u.
-3, 0, 2
What is o in -2*o**4/15 + 2*o**3/3 + 156*o**2/5 = 0?
-13, 0, 18
Factor 4*t**2 - 40*t + 84.
4*(t - 7)*(t - 3)
Factor 2*h**4/11 + 46*h**3/11 - 208*h**2/11 + 216*h/11.
2*h*(h - 2)**2*(h + 27)/11
Factor 2*a**2/13 - 98*a/13 + 276/13.
2*(a - 46)*(a - 3)/13
Let 115*f**3 - 4150*f**2 + 37620*f - 3240 = 0. What is f?
2/23, 18
Let -2*t**5 - 12*t**4 + 16*t**3 + 12*t**2 - 14*t = 0. Calculate t.
-7, -1, 0, 1
Factor -2*w**2/17 - 28*w/17 - 48/17.
-2*(w + 2)*(w + 12)/17
Suppose m**3/4 + 25*m**2/2 - 51*m/4 = 0. What is m?
-51, 0, 1
Suppose 3*k**5 - 30*k**4 + 63*k**3 + 12*k**2 - 84*k = 0. What is k?
-1, 0, 2, 7
Determine u so that 3*u**4 + 81*u**3 + 405*u**2 + 567*u = 0.
-21, -3, 0
Factor -2*h**4/3 - 10*h**3/3 - 4*h**2 + 8*h/3 + 16/3.
-2*(h - 1)*(h + 2)**3/3
What is z in -z**3 + 24*z**2 - 45*z + 2