)/13
Factor -v**2/4 + 19*v - 75/4.
-(v - 75)*(v - 1)/4
Solve -r**5 - 6*r**4 - 11*r**3 - 2*r**2 + 12*r + 8 = 0.
-2, -1, 1
Find s, given that -9*s**4 - 578*s**3 - 8741*s**2 + 17688*s + 4356 = 0.
-33, -2/9, 2
Factor -1323*r**3/2 + 14301*r**2/2 + 1380*r + 66.
-3*(r - 11)*(21*r + 2)**2/2
Let 2*v**3 + 532*v**2 - 2*v - 532 = 0. Calculate v.
-266, -1, 1
Factor -3*u**3 - 21*u**2 - 21*u + 45.
-3*(u - 1)*(u + 3)*(u + 5)
Let -z**2/4 - 11*z/4 + 13/2 = 0. What is z?
-13, 2
Let 3*k**5 + 84*k**4 - 576*k**3 + 1194*k**2 - 1011*k + 306 = 0. What is k?
-34, 1, 3
Find s, given that -4*s**5 - 64*s**4/3 - 12*s**3 + 128*s**2/3 + 16*s - 64/3 = 0.
-4, -2, -1, 2/3, 1
Find t, given that 3*t**5/7 - 120*t**4/7 + 114*t**3/7 + 120*t**2/7 - 117*t/7 = 0.
-1, 0, 1, 39
Factor 14*n**3/5 + 52*n**2/5 + 8*n - 16/5.
2*(n + 2)**2*(7*n - 2)/5
Factor 3*r**3 - 3141*r**2 + 18765*r - 28107.
3*(r - 1041)*(r - 3)**2
Find g such that -324*g**4 - 360*g**3 + 1484*g**2 - 992*g + 192 = 0.
-3, 4/9, 1
Find d, given that 2*d**2 - 516*d + 33282 = 0.
129
Determine o, given that o**4/4 - o**3/4 - 13*o**2/4 + o/4 + 3 = 0.
-3, -1, 1, 4
What is y in 2*y**2/7 - 2*y/7 - 4/7 = 0?
-1, 2
Factor 2*m**5/3 + 2*m**4 - 5*m**3/2 + 2*m**2/3.
m**2*(m + 4)*(2*m - 1)**2/6
Solve -2*z**4/9 - 88*z**3/9 + 2*z**2/9 + 88*z/9 = 0.
-44, -1, 0, 1
Solve -5*w**2 - 310*w + 975 = 0 for w.
-65, 3
Suppose 2*g**5 - 792*g**4 + 76002*g**3 + 475180*g**2 + 963192*g + 646416 = 0. What is g?
-2, 201
Find c such that -6*c**4 + 63*c**3 + 33*c**2 = 0.
-1/2, 0, 11
Let -112*u**5 - 1628*u**4 - 6336*u**3 - 3052*u**2 - 392*u = 0. Calculate u.
-7, -2/7, -1/4, 0
Suppose 2*r**2 + 20*r + 50 = 0. Calculate r.
-5
Let -2*j**3/7 - 20*j**2/7 + 26*j/7 + 44/7 = 0. What is j?
-11, -1, 2
Factor -2*n**2/19 - 2*n - 36/19.
-2*(n + 1)*(n + 18)/19
Suppose 2*j**5 - 1168*j**4/3 - 2758*j**3/3 - 8*j**2/3 + 1576*j/3 = 0. Calculate j.
-2, -1, 0, 2/3, 197
Determine l, given that -3*l**3/2 - 26*l**2 - 17*l/2 = 0.
-17, -1/3, 0
What is p in 2*p**2/9 - 22*p/9 - 8/3 = 0?
-1, 12
Determine g so that 10*g**3/13 - 44*g**2/13 - 30*g/13 = 0.
-3/5, 0, 5
What is s in 3*s**5 - s**4 - 23*s**3/3 - 13*s**2/3 - 2*s/3 = 0?
-1, -1/3, 0, 2
Let -n**3/2 + 13*n**2/2 - 25*n + 28 = 0. What is n?
2, 4, 7
Factor -16*h**3/7 - 2*h**2 + 34*h/7 - 4/7.
-2*(h - 1)*(h + 2)*(8*h - 1)/7
Suppose -28*c**4 + 232*c**3 - 652*c**2 + 672*c - 144 = 0. Calculate c.
2/7, 2, 3
Factor -u**5/7 - u**4 - 15*u**3/7 - 9*u**2/7.
-u**2*(u + 1)*(u + 3)**2/7
Factor p**3 - 2*p**2 - 5*p + 6.
(p - 3)*(p - 1)*(p + 2)
Factor -l**2 + 16.
-(l - 4)*(l + 4)
Factor -3*n**4 + 378*n**3 - 11907*n**2.
-3*n**2*(n - 63)**2
Factor 2*m**2 + 19088*m + 45543968.
2*(m + 4772)**2
Suppose s**4/2 + 4*s**3 + 9*s**2 - 27/2 = 0. Calculate s.
-3, 1
Determine p, given that 44*p**4 + 128*p**3 + 120*p**2 + 32*p - 4 = 0.
-1, 1/11
Factor 2*w**4/3 + 20*w**3/3 + 74*w**2/3 + 40*w + 24.
2*(w + 2)**2*(w + 3)**2/3
Factor 4*x**3/7 - 8*x**2 + 228*x/7 - 288/7.
4*(x - 8)*(x - 3)**2/7
Determine k so that -k**3/5 - 4*k**2 + 23*k/5 + 42/5 = 0.
-21, -1, 2
Let 2*q**3/15 - 208*q**2/3 + 1378*q/5 - 1032/5 = 0. What is q?
1, 3, 516
Factor -4*z**2 - 376*z - 8836.
-4*(z + 47)**2
Factor -2*x**3/11 + 16*x**2/11 - 34*x/11 + 20/11.
-2*(x - 5)*(x - 2)*(x - 1)/11
Solve 2*y**4/5 + 10*y**3 - 70*y**2 + 134*y - 372/5 = 0.
-31, 1, 2, 3
What is m in m**4/2 + 343*m**3/2 - 345*m**2 = 0?
-345, 0, 2
Factor 2*j**2/3 + 10*j - 32/3.
2*(j - 1)*(j + 16)/3
Let -49*q**3/3 + 3262*q**2/3 - 1852*q/3 + 88 = 0. Calculate q.
2/7, 66
Factor 2*g**5/3 - 38*g**4/3.
2*g**4*(g - 19)/3
Factor 2*u**2 + 5528*u + 3819848.
2*(u + 1382)**2
Factor -t**4 + 61*t**3 + 326*t**2 + 264*t.
-t*(t - 66)*(t + 1)*(t + 4)
Factor 5*d**3 - 290*d**2 + 275*d + 570.
5*(d - 57)*(d - 2)*(d + 1)
Factor 2*n**4 - 128*n**3 + 126*n**2.
2*n**2*(n - 63)*(n - 1)
Factor -j**2/7 + 1730*j/7 - 748225/7.
-(j - 865)**2/7
Suppose -2*g**5/7 + 10*g**3/7 - 8*g/7 = 0. What is g?
-2, -1, 0, 1, 2
Factor -17*s**2/2 + 49*s/6 + 1/3.
-(s - 1)*(51*s + 2)/6
Let y**5 + 6*y**4 + 13*y**3 + 12*y**2 + 4*y = 0. Calculate y.
-2, -1, 0
Find s, given that -s**4/4 - 73*s**3/2 + 147*s**2/4 = 0.
-147, 0, 1
Determine t, given that 56*t**5/11 + 58*t**4/11 - 240*t**3/11 + 82*t**2/11 + 4*t = 0.
-11/4, -2/7, 0, 1
Solve -k**3/4 + 6*k**2 - 21*k + 20 = 0.
2, 20
Let -5*f**4 - 288*f**3 + 411*f**2 - 118*f = 0. Calculate f.
-59, 0, 2/5, 1
Suppose 2*k**2/3 - 7880*k/3 + 7761800/3 = 0. What is k?
1970
Suppose -9*x**4 + 195*x**3 - 307*x**2 + 141*x - 20 = 0. Calculate x.
1/3, 1, 20
Suppose -2*a**5 - 22*a**4 + 52*a**3 = 0. Calculate a.
-13, 0, 2
What is u in -15*u**5 - 21*u**4 + 24*u**3 + 12*u**2 = 0?
-2, -2/5, 0, 1
Determine r, given that 2*r**4/7 - 52*r**3/7 + 376*r**2/7 - 944*r/7 + 768/7 = 0.
2, 6, 16
Determine p, given that p**5/2 - 10*p**4 - 4*p**3 + 512*p**2 + 1736*p + 1568 = 0.
-4, -2, 14
Solve 4*k**3/3 + 2*k**2/3 - 4*k = 0 for k.
-2, 0, 3/2
Let -6*g**3 + 8*g**2 + 8*g = 0. What is g?
-2/3, 0, 2
Factor 2*u**3 - 4*u**2 - 40*u - 48.
2*(u - 6)*(u + 2)**2
Let 880*t**5 - 1160*t**4 + 255*t**3 + 35*t**2 - 10*t = 0. Calculate t.
-2/11, 0, 1/4, 1
Suppose -12*m**2/7 + 40*m - 92/7 = 0. Calculate m.
1/3, 23
Factor -i**3/6 + 9*i**2/2 + 14*i/3.
-i*(i - 28)*(i + 1)/6
Factor -2*m**4/7 + 4*m**3/7 - 2*m**2/7.
-2*m**2*(m - 1)**2/7
Suppose w**3 - 34*w**2 + 345*w - 900 = 0. What is w?
4, 15
Let -18*i**2/11 + 7806*i/11 + 2604/11 = 0. What is i?
-1/3, 434
Find q such that 10*q**3/11 - 104*q**2/11 + 34*q/11 + 60/11 = 0.
-3/5, 1, 10
Determine d, given that 2*d**4/21 - 32*d**3/21 + 6*d**2 - 184*d/21 + 88/21 = 0.
1, 2, 11
Find t such that t**2 + 5*t + 6 = 0.
-3, -2
Find b, given that 2*b**3 + 4326*b**2 + 17280*b + 17272 = 0.
-2159, -2
Factor -7*v**3 + 9*v**2 + 40*v - 12.
-(v - 3)*(v + 2)*(7*v - 2)
Solve -4*s**3 - 16*s**2 + 10540*s + 222952 = 0.
-31, 58
Find x such that 4*x**3 + 72*x**2 + 432*x + 864 = 0.
-6
Solve 4*s**4 - 936*s**3 + 55668*s**2 - 104864*s - 161472 = 0 for s.
-1, 3, 116
Let -3*w**5 + 60*w**4 - 453*w**3 + 1596*w**2 - 2544*w + 1344 = 0. What is w?
1, 4, 7
Let 5*h**3/2 + 80*h**2 + 305*h/2 + 75 = 0. Calculate h.
-30, -1
Find f, given that -f**5/2 + 20*f**4 + 197*f**3 - 236*f**2 - 393*f/2 + 216 = 0.
-9, -1, 1, 48
Suppose -2*q**5 + 10*q**3 - 8*q = 0. Calculate q.
-2, -1, 0, 1, 2
Factor 2*u**3 + 136*u**2 + 2312*u.
2*u*(u + 34)**2
Factor -5*k**2 + 60*k - 135.
-5*(k - 9)*(k - 3)
Suppose u**2/5 - 3046*u/5 + 2319529/5 = 0. Calculate u.
1523
Factor -2*l**2/11 - 212*l/11 + 432/11.
-2*(l - 2)*(l + 108)/11
Determine x, given that 2*x**2 - 14*x + 20 = 0.
2, 5
Factor 4*n**2/3 + 324*n.
4*n*(n + 243)/3
Find t such that -t**3/8 - 2415*t**2/8 - 1944075*t/8 - 521660125/8 = 0.
-805
Factor -5*d**2 - 1835*d - 14360.
-5*(d + 8)*(d + 359)
Factor -3*u**3 - 39*u**2 + 60*u + 252.
-3*(u - 3)*(u + 2)*(u + 14)
Suppose -d**2 - 106*d + 555 = 0. Calculate d.
-111, 5
Factor s**5 + s**4 - s**3 - s**2.
s**2*(s - 1)*(s + 1)**2
Factor 5*q**5 - 45*q**4 + 135*q**3 - 155*q**2 + 60*q.
5*q*(q - 4)*(q - 3)*(q - 1)**2
Let 95*c**2 + 1035*c - 110 = 0. Calculate c.
-11, 2/19
Solve -r**5 - 5*r**4 + r**3 + 41*r**2 + 72*r + 36 = 0 for r.
-3, -2, -1, 3
Factor -12*r**4 + 15*r**3 - 3*r**2.
-3*r**2*(r - 1)*(4*r - 1)
Find q, given that q**3/7 - 39*q**2/7 + 395*q/7 - 51 = 0.
1, 17, 21
Let d**2/4 + 4*d - 297/4 = 0. What is d?
-27, 11
Find i such that 2*i**3/13 + 60*i**2/13 + 216*i/13 + 16 = 0.
-26, -2
Suppose 3*m**3 - 42*m**2 - 45*m = 0. Calculate m.
-1, 0, 15
Let 4*y**3 - 148*y**2 + 924*y + 8820 = 0. What is y?
-5, 21
Factor -2*z**4/5 + 4*z**3/5.
-2*z**3*(z - 2)/5
Suppose 3*u**3 - 477*u**2 - 12*u + 1908 = 0. Calculate u.
-2, 2, 159
Let 2*z**3/13 + 238*z**2/13 - 56*z + 488/13 = 0. What is z?
-122, 1, 2
What is y in 3*y**4/8 - 3*y**3/2 - 6*y**2 + 24*y = 0?
-4, 0, 4
Suppose 5*m**5 - 19*m**4 - 19*m**3 + 67*m**2 - 26*m - 8 = 0. What is m?
-2, -1/5, 1, 4
Let -196*r**3 - 448*r**2 + 7360*r - 12800 = 0. Calculate r.
-8, 20/7
Factor -2*d**5/11 + 14*d**4/11 - 30*d**3/11 + 18*d**2/11.
-2*d**2*(d - 3)**2*(d - 1)/11
Factor -2*k**3/5 + 34*k**2/5 + 178*k/5 - 42.
-2*(k - 21)*(k - 1)*(k + 5)/5
Find d, given that 4*d**5 - 20*d**4 + 28*d**3 - 12*d**2 = 0.
0, 1, 3
Find j, given that 20*j**4/3 - 88*j**3/3 - 208*j**2/3 + 32*j = 0.
-2, 0, 2/5, 6
Factor 2*o**3 + 36*o**2 + 174*o + 140.
2*(o + 1)*(o + 7)*(o + 10)
Factor -2*j**4/15 + 4*j**3/15 + 112*j**2/5.
-2*j**2*(j - 14)*(j + 12)/15
