t -a**5/2 + 15*a**4/2 - 31*a**3 + 17*a**2 + 63*a/2 - 49/2 = 0.
-1, 1, 7
Determine z, given that 9*z**5/5 - 39*z**4/5 - 78*z**3/5 + 282*z**2/5 - 219*z/5 + 9 = 0.
-3, 1/3, 1, 5
Solve -3*k**3/5 + 51*k**2/5 + 111*k + 225 = 0.
-5, -3, 25
Solve -30*f**2 - 184*f - 248 = 0.
-62/15, -2
Find o such that 2*o**3/13 + 10*o**2/13 + 16*o/13 + 8/13 = 0.
-2, -1
Solve 3*u**3 - 42*u**2 + 165*u - 126 = 0.
1, 6, 7
Find z, given that 3*z**2/4 - 429*z/4 - 435/2 = 0.
-2, 145
Factor 2*s**2/3 - 112*s/3 + 72.
2*(s - 54)*(s - 2)/3
Factor -5*z**3 - 50*z**2 - 85*z - 40.
-5*(z + 1)**2*(z + 8)
Determine i so that 3*i**4/5 + 18*i**3/5 + 21*i**2/5 - 18*i/5 - 24/5 = 0.
-4, -2, -1, 1
Let -f**4/2 + 8*f**3 - 39*f**2/2 = 0. Calculate f.
0, 3, 13
Factor 3*u**2/5 + 4956*u/5 + 2046828/5.
3*(u + 826)**2/5
What is w in -3*w**2/2 - 11925*w/2 = 0?
-3975, 0
Factor -k**5/3 + 8*k**4/3 - 22*k**3/3 + 28*k**2/3 - 17*k/3 + 4/3.
-(k - 4)*(k - 1)**4/3
Determine a, given that -2*a**5/11 - 2*a**4 - 54*a**3/11 - 50*a**2/11 - 16*a/11 = 0.
-8, -1, 0
Suppose -2*p**2 - 1092*p - 1090 = 0. What is p?
-545, -1
Let -5*t**4/3 - 5*t**3/6 + 25*t**2/6 - 5*t/3 = 0. What is t?
-2, 0, 1/2, 1
Suppose 4*o**5 - 228*o**4 + 3092*o**3 + 5716*o**2 - 35496*o + 26912 = 0. Calculate o.
-4, 1, 2, 29
Factor 2*r**4/7 - 212*r**3/7 + 4946*r**2/7 + 5088*r + 8064.
2*(r - 56)**2*(r + 3)**2/7
Solve -3*p**2 + 12*p - 9 = 0.
1, 3
Suppose -w**3 - 21*w**2 - 71*w - 51 = 0. What is w?
-17, -3, -1
Find a such that 4*a**5/25 - 6*a**4/5 + 76*a**3/25 - 66*a**2/25 - 8*a/25 + 24/25 = 0.
-1/2, 1, 2, 3
Factor 4*l**2 - 4452*l + 8888.
4*(l - 1111)*(l - 2)
Let -2*q**3/17 - 1486*q**2/17 - 8862*q/17 - 13266/17 = 0. Calculate q.
-737, -3
Factor -2*y**4/5 - 2724*y**3 - 6183480*y**2 - 4678833200*y.
-2*y*(y + 2270)**3/5
Factor -27*x**2 - 225*x - 1875/4.
-3*(6*x + 25)**2/4
Let -3*r**3 - 3726*r**2 - 14868*r - 14856 = 0. What is r?
-1238, -2
Factor 2*x**4 + 10*x**3 - 28*x**2.
2*x**2*(x - 2)*(x + 7)
Factor r**3/2 + 13*r**2 + 70*r - 196.
(r - 2)*(r + 14)**2/2
Factor 3*c**5 - 6*c**4 - 39*c**3 - 30*c**2.
3*c**2*(c - 5)*(c + 1)*(c + 2)
What is x in x**2/3 - 197*x/3 - 66 = 0?
-1, 198
Let -2*b**2 + 57*b = 0. Calculate b.
0, 57/2
Find n such that 484*n**3/5 - 1496*n**2/5 + 240*n - 288/5 = 0.
6/11, 2
Determine r so that r**3 - 2*r**2 - 24*r = 0.
-4, 0, 6
Factor b**2/2 - 8*b + 32.
(b - 8)**2/2
Let -4*u**4 - 4*u**3 + 588*u**2 - 556*u - 1144 = 0. What is u?
-13, -1, 2, 11
Factor 3*x**2/2 + 3*x/2 - 3.
3*(x - 1)*(x + 2)/2
Solve -16*b**3/5 + 748*b**2/5 + 956*b/5 + 192/5 = 0 for b.
-1, -1/4, 48
Let 7*g**4 - 2434*g**3 + 1733*g**2 + 694*g = 0. What is g?
-2/7, 0, 1, 347
Factor -12*t**4 - 28*t**3 + 8*t**2 + 32*t.
-4*t*(t - 1)*(t + 2)*(3*t + 4)
Factor 2*q**3 - 20*q**2 + 46*q - 28.
2*(q - 7)*(q - 2)*(q - 1)
Suppose 16*s**5 - 168*s**4 - 95*s**3 + 78*s**2 - 11*s = 0. Calculate s.
-1, 0, 1/4, 11
Solve 2*y**2 - 80*y + 350 = 0 for y.
5, 35
Solve -4*w**2/3 - 124*w/3 - 40 = 0 for w.
-30, -1
Solve -k**3/5 + 57*k**2/5 - 168*k + 784/5 = 0 for k.
1, 28
Factor 3*z**3/4 - 141*z**2/2 + 1533*z - 9702.
3*(z - 66)*(z - 14)**2/4
Determine y, given that 2*y**2 - 746*y - 1500 = 0.
-2, 375
Determine x, given that x**2/5 + 3*x/5 = 0.
-3, 0
Determine t, given that 10*t**3/7 - 64*t**2/7 + 24*t/7 = 0.
0, 2/5, 6
Solve -l**3/2 + 111*l**2/2 - 4107*l/2 + 50653/2 = 0.
37
Factor p**5/8 + 3*p**4/4 - 5*p**3/4 - 2*p**2 + 33*p/8 - 7/4.
(p - 1)**3*(p + 2)*(p + 7)/8
Factor -2*i**2/5 - 7404*i/5 - 6852402/5.
-2*(i + 1851)**2/5
Solve -r**5 + 27*r**4 - 42*r**3 - 848*r**2 + 3168*r - 2304 = 0.
-6, 1, 4, 24
Factor l**4/3 + 10*l**3 + 29*l**2/3.
l**2*(l + 1)*(l + 29)/3
Solve -12*a**3 + 201*a**2 - 453*a - 126 = 0 for a.
-1/4, 3, 14
Suppose 5*h**2 + 715*h = 0. Calculate h.
-143, 0
Factor -5*d**3 - 90*d**2 - 75*d + 170.
-5*(d - 1)*(d + 2)*(d + 17)
Factor 2*a**3 + 20*a**2 - 104*a + 112.
2*(a - 2)**2*(a + 14)
Factor l**3 + 7*l**2 - 120*l.
l*(l - 8)*(l + 15)
Find z such that 5*z**2 + 405*z = 0.
-81, 0
Suppose -3*x**3 + 1317*x**2 + 12*x - 5268 = 0. Calculate x.
-2, 2, 439
Determine f, given that 4*f**4 - 20*f**3 - 128*f**2 - 144*f = 0.
-2, 0, 9
Factor 2*m**3/11 - 120*m**2/11 + 334*m/11 + 456/11.
2*(m - 57)*(m - 4)*(m + 1)/11
Let -3*g**4 + 6*g**3 + 87*g**2 + 126*g = 0. What is g?
-3, -2, 0, 7
Suppose 1000*r**5/9 - 13325*r**4/9 + 5510*r**3/3 - 7684*r**2/9 + 1496*r/9 - 32/3 = 0. What is r?
1/8, 2/5, 12
Factor 2*l**3/5 + 8*l**2/5 - 14*l/5 - 4.
2*(l - 2)*(l + 1)*(l + 5)/5
What is y in 5*y**2 - 505*y + 2400 = 0?
5, 96
Find y such that -5*y**5 - 75*y**4 - 385*y**3 - 825*y**2 - 630*y = 0.
-7, -3, -2, 0
Factor 40898*v**2/25 + 4576*v/25 + 128/25.
2*(143*v + 8)**2/25
What is z in -5*z**4 - 1375*z**3 - 92445*z**2 + 287035*z - 193210 = 0?
-139, 1, 2
Factor -3*f**2 + 192*f - 3072.
-3*(f - 32)**2
Factor i**3/2 - 155*i**2/2 - 313*i/2 - 157/2.
(i - 157)*(i + 1)**2/2
Determine b, given that 3*b**2/5 + 9102*b/5 + 6903867/5 = 0.
-1517
Factor -j**4/5 - 26*j**3/5 + 27*j**2/5.
-j**2*(j - 1)*(j + 27)/5
Factor 5*j**2 - 1175*j + 1170.
5*(j - 234)*(j - 1)
Suppose -2*a**5/11 - 48*a**4/11 - 346*a**3/11 - 436*a**2/11 + 192*a - 1280/11 = 0. What is a?
-10, -8, 1
Solve 123*j**3 - 621*j**2 + 30*j = 0.
0, 2/41, 5
Solve 5*g**3 - 1685*g**2 + 1680*g = 0.
0, 1, 336
Factor q**3 - 437*q**2 + 48816*q - 233280.
(q - 216)**2*(q - 5)
Factor 5*w**3 + 35*w**2 + 70*w + 40.
5*(w + 1)*(w + 2)*(w + 4)
Determine c, given that 4*c**4/21 + 418*c**3/21 - 212*c**2/7 + 2*c/21 + 212/21 = 0.
-106, -1/2, 1
Determine u so that 2*u**3 + 131*u**2 - 338*u + 136 = 0.
-68, 1/2, 2
Let -2*s**3/5 + 292*s**2/15 - 1216*s/5 + 768/5 = 0. What is s?
2/3, 24
What is u in -3*u**2 + 47592*u - 188749872 = 0?
7932
Determine k so that 3*k**3/8 - 51*k**2/8 = 0.
0, 17
Let 2*n**3/7 + 40*n**2/7 + 38*n + 84 = 0. What is n?
-7, -6
Solve -14*s**3/5 + 192*s**2/5 - 56*s - 96/5 = 0.
-2/7, 2, 12
Let 3*t**3 + 30*t**2 + 48*t = 0. What is t?
-8, -2, 0
Solve -5*f**4/4 - 23*f**3/4 - 25*f**2/4 - f/4 + 3/2 = 0.
-3, -1, 2/5
Factor -5*m**5/4 - 405*m**4/4 - 10935*m**3/4 - 98415*m**2/4.
-5*m**2*(m + 27)**3/4
Let h**5/3 - 8*h**3/3 - 2*h**2 + 7*h/3 + 2 = 0. Calculate h.
-2, -1, 1, 3
Factor m**2/4 - 39*m/4 - 63/2.
(m - 42)*(m + 3)/4
Determine u so that -u**3/6 - 5*u**2/2 + 11*u/2 - 17/6 = 0.
-17, 1
Factor f**3/8 + 649*f**2/4.
f**2*(f + 1298)/8
Factor -92*p**2/9 - 928*p/9 - 80/9.
-4*(p + 10)*(23*p + 2)/9
Solve 3*z**2 - 6*z - 105 = 0.
-5, 7
Factor -p**4/3 - 2*p**3/3 + 13*p**2/3 - 10*p/3.
-p*(p - 2)*(p - 1)*(p + 5)/3
What is f in 4*f**3 + 1184*f**2 + 87616*f = 0?
-148, 0
What is n in -n**5/7 - 9*n**4/7 + 13*n**3/7 + 25*n**2/7 - 48*n/7 + 20/7 = 0?
-10, -2, 1
Factor 2*q**2/3 - 742*q/3 + 740/3.
2*(q - 370)*(q - 1)/3
Factor 15*i**3 - 110*i**2 + 215*i - 60.
5*(i - 4)*(i - 3)*(3*i - 1)
Suppose -52*h**4 - 284*h**3 - 536*h**2 - 400*h - 96 = 0. Calculate h.
-2, -1, -6/13
Let -s**4/4 - 41*s**3 - 6387*s**2/4 + 6930*s - 5292 = 0. Calculate s.
-84, 1, 3
Suppose 5*c**3 + 230*c**2 + 1325*c - 1560 = 0. Calculate c.
-39, -8, 1
Let -5*h**5/3 - 185*h**4/3 - 640*h**3 - 1460*h**2/3 + 35200*h/3 - 15360 = 0. Calculate h.
-16, -9, 2
Let -12*t**2 - 183*t - 171 = 0. What is t?
-57/4, -1
Factor a**4/4 - 65*a**3/4 + 699*a**2/4 + 765*a/4.
a*(a - 51)*(a - 15)*(a + 1)/4
Factor -2*i**3/3 + 566*i**2/3 - 13442*i + 13254.
-2*(i - 141)**2*(i - 1)/3
Determine d, given that 2*d**4 + 368*d**3 + 364*d**2 - 368*d - 366 = 0.
-183, -1, 1
Factor -3*g**2/4 - 33*g/2 + 36.
-3*(g - 2)*(g + 24)/4
Let 4*r**2 + 80*r + 256 = 0. Calculate r.
-16, -4
What is a in -36*a**4 - 744*a**3 - 3844*a**2 = 0?
-31/3, 0
Let -32*d**2 + 340*d + 132 = 0. What is d?
-3/8, 11
Solve -l**5/9 + 11*l**4/9 - 5*l**3 + 85*l**2/9 - 74*l/9 + 8/3 = 0 for l.
1, 2, 3, 4
Suppose -2*m**4 + 30*m**3 - 128*m**2 + 96*m + 256 = 0. What is m?
-1, 4, 8
Solve -2*c**4/15 + 16*c**3/15 - 14*c**2/5 + 44*c/15 - 16/15 = 0 for c.
1, 2, 4
Let -2*h**4/7 + 1226*h**3/7 - 10926*h**2/7 + 32670*h/7 - 32616/7 = 0. What is h?
3, 604
Factor 4*k**4 + 392*k**3 + 9988*k**2 + 18816*k + 9216.
4*(k + 1)**2*(k + 48)**2
Factor 4*t**5/11 + 30*t**4/11 + 72*t**3/11 + 54*t**2/11.
2*t**2*(t + 3)**2*(2*t + 3)/11
Factor 5*d**4 + 15*d**3 - 25*d**2 - 15*d + 20.
5*(d - 1)**2*(d + 1)*(d + 4)
What is h in h**3/5 + 14*h**2/5 - h/5 - 14/5 = 0?
-14, -1, 1
Find c such that 4*c**3 - 224*c**2 - 16*c + 896 = 0.
-2, 2, 56
Find m such that -3*m**5 + 32*m**4 - 71*m**3 +