**3/4 + 99*z**2/8.
-z**2*(z - 1)*(z + 99)/8
Let 2*r**4/9 - 46*r**3/9 + 260*r**2/9 = 0. What is r?
0, 10, 13
Factor -g**3/2 - 198*g**2 + 397*g/2.
-g*(g - 1)*(g + 397)/2
Find v such that 5*v**2 + 14690*v + 10789805 = 0.
-1469
What is h in -2*h**3 + 28*h**2 - 128*h + 192 = 0?
4, 6
Let 4*f**4/3 - 20*f**3/3 - 20*f**2 + 20*f/3 + 56/3 = 0. What is f?
-2, -1, 1, 7
Suppose 3*l**4 + 33*l**3 + 45*l**2 - 525*l - 1500 = 0. What is l?
-5, 4
Find s, given that 155*s**4 + 1090*s**3 + 2360*s**2 + 1470*s + 45 = 0.
-3, -1, -1/31
Factor 3*o**3 + 21*o**2 + 30*o.
3*o*(o + 2)*(o + 5)
Factor -2*j**3/5 + 4*j**2 + 98*j/5 - 52.
-2*(j - 13)*(j - 2)*(j + 5)/5
Find q such that q**3/3 + q**2 - 3*q + 5/3 = 0.
-5, 1
Factor -2*w**4 - 6*w**3 - 4*w**2.
-2*w**2*(w + 1)*(w + 2)
Let 4*l**2 - 17960*l + 20160100 = 0. Calculate l.
2245
Determine g so that 6*g**5 + 1336*g**4 - 13486*g**3/3 + 16684*g**2/3 - 9032*g/3 + 1808/3 = 0.
-226, 2/3, 1
Suppose -k**5 - 16*k**4 + 246*k**3 + 536*k**2 + 275*k = 0. Calculate k.
-25, -1, 0, 11
Factor -5*l**3 + 50*l**2 + 55*l.
-5*l*(l - 11)*(l + 1)
Factor 18*c**3/7 + 10*c**2/7 - 44*c/7 + 16/7.
2*(c - 1)*(c + 2)*(9*c - 4)/7
Factor -5*g**3 - 887*g**2 + 1436*g + 716.
-(g - 2)*(g + 179)*(5*g + 2)
Factor -2*u**2/3 + 148*u/3 + 790/3.
-2*(u - 79)*(u + 5)/3
What is a in -3*a**4 + 5*a**3 + a**2 - 5*a + 2 = 0?
-1, 2/3, 1
Determine k, given that k**2/2 - 175*k/2 - 543 = 0.
-6, 181
Factor -5*f**3/2 - 50*f**2 - 385*f/2 + 605.
-5*(f - 2)*(f + 11)**2/2
Let 14*l**4 + 38*l**3 - 68*l**2 + 16*l = 0. What is l?
-4, 0, 2/7, 1
Factor 2*b**2/19 + 810*b/19 + 808/19.
2*(b + 1)*(b + 404)/19
Let -2*w**2/7 + 22*w/7 + 24/7 = 0. Calculate w.
-1, 12
Solve 3*l**5 - 942*l**4 + 68115*l**3 + 909732*l**2 + 3763344*l + 5101248 = 0.
-4, 163
What is b in 3*b**5 + 249*b**4 + 1968*b**3 - 2220*b**2 = 0?
-74, -10, 0, 1
Factor -p**3/3 - 112*p**2 - 12544*p - 1404928/3.
-(p + 112)**3/3
Factor 48*q**3 - 28*q**2 - 116*q - 40.
4*(q - 2)*(q + 1)*(12*q + 5)
What is i in 4*i**4 + 4*i**3 - 64*i**2 - 64*i = 0?
-4, -1, 0, 4
Find j such that 530*j**3 + 2665*j**2 + 2195*j + 60 = 0.
-4, -1, -3/106
Factor 2*l**2/9 + 28*l/3 + 98.
2*(l + 21)**2/9
Factor -3*l**4 + 24*l**3 + 99*l**2.
-3*l**2*(l - 11)*(l + 3)
What is b in -5*b**5 - 110*b**4 + 395*b**3 + 500*b**2 = 0?
-25, -1, 0, 4
Factor -2*v**3/15 - 8*v**2 - 120*v.
-2*v*(v + 30)**2/15
Suppose -2*x**3/5 + 552*x**2/5 + 2232*x/5 + 448 = 0. Calculate x.
-2, 280
Find j, given that j**3/6 + 4*j**2/3 + 5*j/6 - 7/3 = 0.
-7, -2, 1
Find v such that 2*v**2 - 32*v + 126 = 0.
7, 9
Find j such that 5*j**3 + 20*j**2 + 25*j + 10 = 0.
-2, -1
Find s such that -2*s**2 - 30*s - 88 = 0.
-11, -4
Solve 32*i**5 + 36*i**4 - 60*i**3 - 8*i**2 = 0.
-2, -1/8, 0, 1
Solve -2*a**2 - 12*a - 10 = 0 for a.
-5, -1
Factor -2*v**2/23 + 30712*v/23 - 117903368/23.
-2*(v - 7678)**2/23
Determine y, given that y**2 - 210*y - 211 = 0.
-1, 211
Find o such that 2*o**2/17 - 190*o/17 + 188/17 = 0.
1, 94
Find i such that -14*i**5/3 + 184*i**4/9 + 42*i**3 + 176*i**2/9 + 8*i/3 = 0.
-1, -1/3, -2/7, 0, 6
Solve 5*b**2 - 45*b - 110 = 0.
-2, 11
Factor -2*s**4 - 30*s**3 - 50*s**2 + 750*s + 2500.
-2*(s - 5)*(s + 5)**2*(s + 10)
Let a**3/7 + 134*a**2/7 + 19*a = 0. What is a?
-133, -1, 0
Let -3*r**3 - 153*r**2 = 0. Calculate r.
-51, 0
Factor 5*n**4 + 40*n**3 - 55*n**2 - 90*n.
5*n*(n - 2)*(n + 1)*(n + 9)
Suppose -3*f**2 - 105*f = 0. Calculate f.
-35, 0
Factor -i**4 - 782*i**3 - 153661*i**2 - 304980*i - 152100.
-(i + 1)**2*(i + 390)**2
Let -b**5 - 4*b**4 + 14*b**2 + 17*b + 6 = 0. What is b?
-3, -1, 2
Factor -i**2 + 39*i + 810.
-(i - 54)*(i + 15)
Factor -5*n**4/2 - 5*n**3/2 + 10*n**2 + 10*n.
-5*n*(n - 2)*(n + 1)*(n + 2)/2
Factor -4*w**3/5 - 184*w**2/5 - 532*w - 11552/5.
-4*(w + 8)*(w + 19)**2/5
Factor 5*j**3 + 425*j**2 + 7875*j - 50625.
5*(j - 5)*(j + 45)**2
Factor 7*w**3/6 - 5*w**2/6 - 22*w/3 - 2.
(w - 3)*(w + 2)*(7*w + 2)/6
Factor 27*r**2/4 - 45*r/2 + 75/4.
3*(3*r - 5)**2/4
Suppose -2*j**2/5 + 336*j/5 + 136 = 0. Calculate j.
-2, 170
Find q such that 2*q**3/13 + 6*q**2/13 - 216*q/13 - 440/13 = 0.
-11, -2, 10
Determine c so that 2*c**4/5 + 48*c**3/5 - 2*c**2/5 - 48*c/5 = 0.
-24, -1, 0, 1
Factor -7*y**3 - 2847*y**2 + 3670*y - 816.
-(y - 1)*(y + 408)*(7*y - 2)
Factor -k**4/4 + 3*k**3/2 - 5*k**2/4.
-k**2*(k - 5)*(k - 1)/4
Factor 2*u**3 + 88*u**2 - 702*u + 612.
2*(u - 6)*(u - 1)*(u + 51)
Let 3*z**2/5 + 102*z/5 = 0. Calculate z.
-34, 0
Determine f, given that -4*f**4 + 144*f**3 - 1260*f**2 + 704*f + 17664 = 0.
-3, 8, 23
Factor 2*u**3 + 20*u**2 + 50*u.
2*u*(u + 5)**2
Solve 28*j**5 - 13*j**4 - 13*j**3 - 2*j**2 = 0 for j.
-2/7, -1/4, 0, 1
Factor -v**3/2 - 1663*v**2/2 - 343608*v + 1738890.
-(v - 5)*(v + 834)**2/2
Factor -2*f**3/17 - 28*f**2/17 - 122*f/17 - 168/17.
-2*(f + 3)*(f + 4)*(f + 7)/17
Suppose -22*s**3/7 + 146*s**2/7 + 232*s/7 + 64/7 = 0. Calculate s.
-1, -4/11, 8
Let -4*c**2 + 744*c + 748 = 0. What is c?
-1, 187
Let -5*l**4 - 20*l**3 + 20*l**2 + 80*l = 0. What is l?
-4, -2, 0, 2
Factor -3*y**4 + 9*y**2 + 6*y.
-3*y*(y - 2)*(y + 1)**2
Factor -v**2/5 + 376*v/5 - 748/5.
-(v - 374)*(v - 2)/5
Factor a**2 + 46*a + 520.
(a + 20)*(a + 26)
Determine s so that -60*s**5 + 1413*s**4/7 - 423*s**3/7 - 120*s**2/7 + 36*s/7 = 0.
-2/7, 0, 1/4, 2/5, 3
Suppose -2*k**5/5 + 2*k**4/5 + 12*k**3/5 - 8*k**2/5 - 16*k/5 = 0. What is k?
-2, -1, 0, 2
Factor g**3 + 11*g**2 + 24*g - 36.
(g - 1)*(g + 6)**2
Solve -b**3 - 13*b**2 + 29*b - 15 = 0 for b.
-15, 1
Factor 3*j**2/5 + 12*j + 252/5.
3*(j + 6)*(j + 14)/5
Find q, given that 2*q**2/19 - 26*q/19 + 60/19 = 0.
3, 10
Let -5*c**2 - 85*c - 330 = 0. Calculate c.
-11, -6
Let 2*k**5/17 + 6*k**4/17 + 6*k**3/17 + 2*k**2/17 = 0. Calculate k.
-1, 0
Factor 4*a**4 + 28*a**3 + 24*a**2.
4*a**2*(a + 1)*(a + 6)
Let -4*f**2/3 + 5*f/3 - 1/3 = 0. Calculate f.
1/4, 1
Factor q**2 + 188*q.
q*(q + 188)
Factor v**2/4 + 7*v - 93/4.
(v - 3)*(v + 31)/4
Factor -2*m**4 + 14*m**3 - 28*m**2 + 16*m.
-2*m*(m - 4)*(m - 2)*(m - 1)
Factor -t**5 + 78*t**4 - 704*t**3 + 1600*t**2 + 2304*t - 8704.
-(t - 68)*(t - 4)**3*(t + 2)
Let -7*x**5/4 + 5*x**4/4 + 4*x**3 + x**2 = 0. Calculate x.
-1, -2/7, 0, 2
Find w, given that -w**5 - 5*w**4/2 + 3*w**3 + 4*w**2 - 2*w - 3/2 = 0.
-3, -1, -1/2, 1
Solve -z**4/2 + 31*z**3/4 + 51*z**2/4 + z/4 - 17/4 = 0 for z.
-1, 1/2, 17
Let -5*y**4/2 - 405*y**3 - 400*y**2 + 405*y + 805/2 = 0. What is y?
-161, -1, 1
Factor -w**3/4 - 9*w**2/4 + 17*w/2 - 6.
-(w - 2)*(w - 1)*(w + 12)/4
Let q**4 - 9*q**3 - 12*q**2 + 20*q = 0. What is q?
-2, 0, 1, 10
Factor -c**2 + 62*c - 705.
-(c - 47)*(c - 15)
Factor 2*k**2 + 94*k + 792.
2*(k + 11)*(k + 36)
Factor -k**4 + 18*k**3 - 85*k**2 + 500.
-(k - 10)*(k - 5)**2*(k + 2)
Factor p**3/4 + 3*p**2/4 - 13*p/4 - 15/4.
(p - 3)*(p + 1)*(p + 5)/4
Factor p**3 - 256*p**2 + 16125*p + 33282.
(p - 129)**2*(p + 2)
Suppose -2*a**3/7 + 44*a**2/7 - 114*a/7 = 0. What is a?
0, 3, 19
Factor -b**4/10 + 3*b**3/10 - b**2/5.
-b**2*(b - 2)*(b - 1)/10
Factor 2*o**2/7 + 34*o/7 + 32/7.
2*(o + 1)*(o + 16)/7
Suppose k**5/7 + 9*k**4/7 + 19*k**3/7 - 3*k**2 - 92*k/7 - 60/7 = 0. Calculate k.
-5, -3, -2, -1, 2
Solve 3*b**2/4 - 225*b/4 = 0.
0, 75
Find a, given that -3710*a**5/3 - 4645*a**4/3 + 1420*a**3/3 + 1915*a**2/3 - 460*a/3 - 20/3 = 0.
-1, -2/53, 2/7, 1/2
Suppose 14*j**4 + 234*j**3 + 856*j**2 + 744*j - 288 = 0. Calculate j.
-12, -3, -2, 2/7
Factor -i**3/8 - 833*i**2/8 - 173055*i/8 + 173889/8.
-(i - 1)*(i + 417)**2/8
Factor -3*l**5 + 75*l**4 - 504*l**3 + 432*l**2.
-3*l**2*(l - 12)**2*(l - 1)
Find m, given that -12*m**4 + 57*m**3 + 591*m**2 - 1152*m - 324 = 0.
-6, -1/4, 2, 9
Factor -2*g**2 - 2168*g - 587528.
-2*(g + 542)**2
Suppose 2*l**3 - 540*l**2 - 542*l = 0. Calculate l.
-1, 0, 271
Solve 6*j**3/5 - 93*j**2/5 + 264*j/5 + 363/5 = 0 for j.
-1, 11/2, 11
Factor 3*q**3 + 5340*q**2.
3*q**2*(q + 1780)
Factor t**3/4 - 163*t**2/4 + 323*t/4 - 161/4.
(t - 161)*(t - 1)**2/4
Determine w, given that 15*w**5/4 - 3*w**4/2 - 45*w**3/4 - 3*w**2 + 3*w = 0.
-1, 0, 2/5, 2
Factor -m**4/5 - m**3/5 + m**2 - 3*m/5.
-m*(m - 1)**2*(m + 3)/5
Factor i**5/2 - 3*i**3 + 4*i**2 - 3*i/2.
i*(i - 1)**3*(i + 3)/2
Suppose -a**4/4 - 27*a**3/4 - 137*a**2/4 + 615*a/4 - 225/2 = 0. What is a?
-15, 1, 2
Let x**5/4 + 17*x**4/4 + 41*x**3/4 - 257*x**2/4 + 99*x/2 = 0. Calculate x.
-11, -9, 0, 1, 2
Determine h, given that 5*h**2 - 505*h + 990 = 0.
2, 99
Suppose -38*j**2 