lve -4*n**4 - 76*n**3 - 396*n**2 - 324*n = 0.
-9, -1, 0
Suppose 30*a**3 + 125*a**2 + 140*a + 20 = 0. What is a?
-2, -1/6
Determine p so that p**3/2 + 49*p**2/2 - 228*p = 0.
-57, 0, 8
Determine y so that 2*y**3/5 + 4*y**2/5 - 22*y/5 - 24/5 = 0.
-4, -1, 3
What is l in 2*l**4 + 20*l**3/3 + 14*l**2/3 - 8*l/3 - 8/3 = 0?
-2, -1, 2/3
Factor -a**4 + 4*a**3 + 6*a**2 - 4*a - 5.
-(a - 5)*(a - 1)*(a + 1)**2
Factor 3*g**3/4 - 231*g**2/4 - 117*g/2.
3*g*(g - 78)*(g + 1)/4
Suppose -2*h**2/23 + 110*h/23 + 228/23 = 0. Calculate h.
-2, 57
Solve 3*t**3/5 + 60*t**2 + 6279*t/5 + 37518/5 = 0.
-74, -13
Factor 4*s**2/9 - 52*s/9 - 64/3.
4*(s - 16)*(s + 3)/9
Determine x so that -50*x**2 - 548*x + 22 = 0.
-11, 1/25
Find b, given that 2*b**4/7 + 1192*b**3/7 + 179976*b**2/7 + 705664*b/7 + 700928/7 = 0.
-296, -2
Find k such that -10*k**4 - 45*k**3 - 50*k**2 - 15*k = 0.
-3, -1, -1/2, 0
Determine y so that -4*y**5/7 - 472*y**4/7 - 464*y**3/7 + 472*y**2/7 + 468*y/7 = 0.
-117, -1, 0, 1
Factor 3*n**5 + 54*n**4 - 252*n**3 + 264*n**2.
3*n**2*(n - 2)**2*(n + 22)
Let -2*z**2/17 + 4960*z/17 - 3075200/17 = 0. Calculate z.
1240
Factor -3*i**2/4 - 27*i - 105/4.
-3*(i + 1)*(i + 35)/4
Suppose 24*u**5/7 - 68*u**4/7 - 132*u**3/7 + 52*u**2/7 + 108*u/7 + 16/7 = 0. What is u?
-1, -1/6, 1, 4
Factor 2*m**3/3 - 178*m**2 - 358*m - 538/3.
2*(m - 269)*(m + 1)**2/3
Factor -1354*s**2/7 - 1360*s/7 - 6/7.
-2*(s + 1)*(677*s + 3)/7
Factor -4*p**2 + 72*p - 128.
-4*(p - 16)*(p - 2)
Suppose -6*n**2/5 + 708*n/5 + 288 = 0. Calculate n.
-2, 120
Suppose -4*c**2/5 + 534*c/5 + 268/5 = 0. What is c?
-1/2, 134
Factor 3*s**4 + 3*s**3 - 12*s**2 - 12*s.
3*s*(s - 2)*(s + 1)*(s + 2)
Factor -4*w**4 - 4*w**3 + 60*w**2 - 92*w + 40.
-4*(w - 2)*(w - 1)**2*(w + 5)
Factor -f**3 + 17*f**2 - 80*f + 64.
-(f - 8)**2*(f - 1)
Solve -2*p**3/7 - 20*p**2/7 - 24*p/7 + 144/7 = 0.
-6, 2
Factor 3*x**2/7 - 42*x + 855/7.
3*(x - 95)*(x - 3)/7
Factor -4*t**5 - 24*t**4 + 136*t**3 - 224*t**2 + 156*t - 40.
-4*(t - 1)**4*(t + 10)
Suppose -2*o**3/3 - 4*o**2 - 8*o - 16/3 = 0. What is o?
-2
Let 32*o**2 - 246*o + 154 = 0. What is o?
11/16, 7
What is z in 2*z**2/11 - 8*z/11 + 6/11 = 0?
1, 3
Determine h, given that -h**4/5 + 6*h**3/5 + 5*h**2 + 18*h/5 = 0.
-2, -1, 0, 9
Factor -3*p**2 + 429*p + 2220.
-3*(p - 148)*(p + 5)
Determine h so that 2*h**5/13 - 14*h**4/13 - 38*h**3/13 + 350*h**2/13 - 300*h/13 = 0.
-5, 0, 1, 5, 6
Factor -3*d**4 - 534*d**3 + 1077*d**2 - 540*d.
-3*d*(d - 1)**2*(d + 180)
Factor 4*k**2 + 168*k - 172.
4*(k - 1)*(k + 43)
Suppose 6*x**2 - 326*x + 424 = 0. What is x?
4/3, 53
Determine z so that 12*z**4/7 + 180*z**3 + 1227*z**2/7 - 2178*z/7 + 624/7 = 0.
-104, -2, 1/2
Solve -3*x**3/5 + 34*x**2/5 - 41*x/5 + 2 = 0 for x.
1/3, 1, 10
Solve 60*s**3 - 185*s**2 + 10*s + 15 = 0 for s.
-1/4, 1/3, 3
Determine l, given that -7*l**4/3 + 15*l**3/2 - 3*l**2/2 = 0.
0, 3/14, 3
Suppose 2*k**2/5 + 3612*k/5 + 722 = 0. What is k?
-1805, -1
Let v**5/8 + 27*v**4/8 + 219*v**3/8 + 505*v**2/8 + 57*v + 18 = 0. What is v?
-12, -1
Factor -4*v**3 - 8*v**2 + 20*v + 24.
-4*(v - 2)*(v + 1)*(v + 3)
What is i in 4*i**5/3 + 20*i**4/3 + 4*i**3/3 - 68*i**2/3 - 88*i/3 - 32/3 = 0?
-4, -1, 2
Factor -s**3/6 + 13*s**2/6 - 11*s/3.
-s*(s - 11)*(s - 2)/6
Factor -3*y**3/2 + 519*y**2 + 3*y/2 - 519.
-3*(y - 346)*(y - 1)*(y + 1)/2
Factor 2*x**4/9 - 298*x**3/9 + 12998*x**2/9 - 44890*x/3.
2*x*(x - 67)**2*(x - 15)/9
Factor -l**2/2 - 220*l - 24200.
-(l + 220)**2/2
Factor 4*w**3 + 1728*w**2 + 1716*w - 3448.
4*(w - 1)*(w + 2)*(w + 431)
What is h in -h**2/6 - 21*h/2 + 32/3 = 0?
-64, 1
Factor -g**5 + 19*g**4 - 10*g**3 - 156*g**2 + 216*g.
-g*(g - 18)*(g - 2)**2*(g + 3)
Solve 150*d**3 + 240*d**2 + 207*d/2 + 27/2 = 0.
-1, -3/10
Factor 2*y**2 - 132*y.
2*y*(y - 66)
Factor -h**2/2 - 171*h + 692.
-(h - 4)*(h + 346)/2
Let -2*h**4/11 + 100*h**3/11 = 0. What is h?
0, 50
Let -p**5/2 - 3*p**4 - 4*p**3 + p**2 + 9*p/2 + 2 = 0. What is p?
-4, -1, 1
Factor 3*a**5 + 3243*a**4 - 6495*a**3 + 3249*a**2.
3*a**2*(a - 1)**2*(a + 1083)
Determine m, given that -4*m**5/13 - 22*m**4/13 - 42*m**3/13 - 32*m**2/13 - 8*m/13 = 0.
-2, -1, -1/2, 0
Suppose -2*g**2 - 2440*g - 744200 = 0. Calculate g.
-610
Determine o, given that 2*o**3 + 668*o**2/3 - 1342*o/9 + 224/9 = 0.
-112, 1/3
Solve 2*h**3/13 + 4950*h**2/13 + 4083750*h/13 + 1123031250/13 = 0.
-825
Factor -5*r**5 + 20*r**4 - 15*r**3.
-5*r**3*(r - 3)*(r - 1)
Suppose 6*s**2 - 310*s + 204 = 0. What is s?
2/3, 51
Factor 2*g**3/3 + 28*g**2/3 + 30*g.
2*g*(g + 5)*(g + 9)/3
Solve -15*u**5 + 144*u**4 - 375*u**3 + 306*u**2 + 12*u - 72 = 0.
-2/5, 1, 2, 6
Find r, given that -2*r**4/21 - 60*r**3/7 - 698*r**2/21 - 288*r/7 - 344/21 = 0.
-86, -2, -1
Factor -3*n**3 - 85*n**2 - 109*n - 27.
-(n + 1)*(n + 27)*(3*n + 1)
Solve -2*p**3/11 + 320*p**2/11 + 1642*p/11 + 120 = 0 for p.
-4, -1, 165
Solve 5*k**2 + 1250*k + 78125 = 0.
-125
Factor -2*z**5/13 - 12*z**4/13 - 28*z**3/13 - 32*z**2/13 - 18*z/13 - 4/13.
-2*(z + 1)**4*(z + 2)/13
Solve 5*t**3/2 + 11*t**2/4 - 53*t/2 + 10 = 0.
-4, 2/5, 5/2
Let 3*q**4 - 66*q**3 - 3*q**2 + 66*q = 0. Calculate q.
-1, 0, 1, 22
Factor -3*j**4 + 12*j**3 + 30*j**2 - 84*j + 45.
-3*(j - 5)*(j - 1)**2*(j + 3)
Find v, given that 2*v**4/3 + 922*v**3/3 + 5388*v**2 + 32040*v + 63792 = 0.
-443, -6
Factor 8*s**3/3 + 100*s**2/3 + 91*s/2 + 33/2.
(s + 11)*(4*s + 3)**2/6
Let -2*p**3 + 120*p**2 - 1782*p = 0. What is p?
0, 27, 33
Find r, given that 2*r**3/11 - 18*r**2/11 - 92*r/11 + 240/11 = 0.
-5, 2, 12
Suppose -12*m**4 + 40628*m**3 - 34381444*m**2 - 11464996*m = 0. What is m?
-1/3, 0, 1693
Factor 4*j**2/3 + 56*j/3 - 276.
4*(j - 9)*(j + 23)/3
Determine t so that -t**4/2 + 5*t**3/2 - 3*t**2 = 0.
0, 2, 3
Solve w**2/2 - 39*w - 80 = 0 for w.
-2, 80
Solve -4*d**4 - 200*d**3 - 188*d**2 + 392*d = 0 for d.
-49, -2, 0, 1
Determine a, given that 15*a**4/2 + 50*a**3 - 155*a**2/2 + 20*a = 0.
-8, 0, 1/3, 1
Factor -2*d**2 + 30*d - 88.
-2*(d - 11)*(d - 4)
Solve 3*r**4 + 12*r**3 - 75*r**2 - 84*r = 0.
-7, -1, 0, 4
Factor -t**5/6 - 3*t**4 - 16*t**3/3 + t**2/3 + 11*t/2 + 8/3.
-(t - 1)*(t + 1)**3*(t + 16)/6
Let -2*f**3/3 - 4*f**2 - 10*f/3 + 8 = 0. Calculate f.
-4, -3, 1
Factor 2*b**2 - 8*b - 42.
2*(b - 7)*(b + 3)
Solve i**5/4 - 105*i**4/4 + 103*i**3/4 + 105*i**2/4 - 26*i = 0 for i.
-1, 0, 1, 104
Factor 2*a**2/9 - 10*a/9 - 28/9.
2*(a - 7)*(a + 2)/9
Factor 3*t**3/7 + 825*t**2/7 - 3336*t/7 + 3348/7.
3*(t - 2)**2*(t + 279)/7
Solve a**3/4 - 180*a**2 + 43200*a - 3456000 = 0.
240
Factor 2*r**5/5 - 3*r**4/5 + r**3/5.
r**3*(r - 1)*(2*r - 1)/5
Determine h, given that -3*h**2 + 576*h - 27648 = 0.
96
Find p, given that -39*p**4 + 111*p**3 - 99*p**2 + 21*p + 6 = 0.
-2/13, 1
Factor -6*s**5/5 + 48*s**4/5 - 126*s**3/5 + 108*s**2/5.
-6*s**2*(s - 3)**2*(s - 2)/5
Let -20*a**3/7 - 772*a**2/7 + 1112*a/7 - 320/7 = 0. What is a?
-40, 2/5, 1
Determine f, given that -3*f**3/2 - 33*f**2 + 72*f = 0.
-24, 0, 2
Let 4*j**5/7 - 47*j**4/7 + 72*j**3/7 + 59*j**2 + 14*j = 0. Calculate j.
-2, -1/4, 0, 7
Suppose -20*p**4 - 1184*p**3 - 1356*p**2 + 2096*p + 464 = 0. What is p?
-58, -2, -1/5, 1
Find o such that 3*o**3 + 36*o**2 + 135*o + 150 = 0.
-5, -2
Factor 2*y**3/7 - 96*y**2/7 + 1440*y/7 - 6400/7.
2*(y - 20)**2*(y - 8)/7
Let i**2 - 8*i + 7 = 0. What is i?
1, 7
Suppose 2*h**3 + 2*h**2 - 66*h + 126 = 0. What is h?
-7, 3
Let 40*g**5 + 920*g**4 - 5*g**3/2 - 115*g**2/2 = 0. What is g?
-23, -1/4, 0, 1/4
Factor -3*m**3 + 957*m**2 + 2892*m + 1932.
-3*(m - 322)*(m + 1)*(m + 2)
Solve 3*b**5 - 1197*b**4 + 118797*b**3 + 121197*b**2 - 118800*b - 120000 = 0.
-1, 1, 200
Suppose -q**2/6 + 53*q/3 - 2809/6 = 0. Calculate q.
53
Let 2*h**2/7 - 110*h/7 - 228/7 = 0. What is h?
-2, 57
Find v, given that -21*v**2 - 15*v = 0.
-5/7, 0
Solve -3*k**5/2 + 39*k**4 - 366*k**3 + 1476*k**2 - 2160*k = 0.
0, 4, 6, 10
Factor 1068*z**2/5 - 4264*z/5 - 32/5.
4*(z - 4)*(267*z + 2)/5
Let -2*x**3/9 + 556*x**2/3 - 39010*x + 1377800/9 = 0. What is x?
4, 415
Find b such that -3*b**2/4 + 144*b - 573/4 = 0.
1, 191
Find w, given that -2*w**5/11 + 6*w**4 - 358*w**3/11 - 3010*w**2/11 - 5472*w/11 - 2888/11 = 0.
-2, -1, 19
Suppose -j**2/9 - 8*j/9 - 7/9 = 0. What is j?
-7, -1
Solve 10*s**5 - 74*s**4 + 178*s**3 - 150*s**2 + 36*s = 0.
0, 2/5, 1, 3
Factor m**5 + 407*m**4 - 1638*m**3 + 2462*m**2 - 1643*m + 411.
(m - 1)**4*(m + 411)
Suppose j**2/2 + 13*j/3 + 8/3 = 0. What is j?
-8, -2/3
Factor 9*d