h.
306
Factor 5*g**5 + 130*g**4 + 570*g**3 + 980*g**2 + 745*g + 210.
5*(g + 1)**3*(g + 2)*(g + 21)
Determine s so that s**2/5 - 58*s/5 - 24 = 0.
-2, 60
Determine y, given that 3*y**3 - 54*y**2 + 141*y - 90 = 0.
1, 2, 15
Determine i so that 5*i**2 - 3235*i - 6490 = 0.
-2, 649
Factor -d**5/2 - 3*d**4/2 - d**3 + d**2 + 3*d/2 + 1/2.
-(d - 1)*(d + 1)**4/2
Factor 2*c**5/3 + 56*c**4/3 + 194*c**3 + 2704*c**2/3 + 5248*c/3 + 1024.
2*(c + 1)*(c + 3)*(c + 8)**3/3
Determine q, given that 2*q**5 + 984*q**4 + 161376*q**3 + 8821888*q**2 = 0.
-164, 0
Factor -5*v**2 - 540*v + 1665.
-5*(v - 3)*(v + 111)
Factor -5*x**4 - 25*x**3 + 5*x**2 + 25*x.
-5*x*(x - 1)*(x + 1)*(x + 5)
Let -s**2/6 + 154*s/3 + 103/2 = 0. What is s?
-1, 309
Suppose 5*b**3/6 + 65*b**2/3 = 0. What is b?
-26, 0
Factor k**3/2 - 36*k**2 + 70*k.
k*(k - 70)*(k - 2)/2
Solve 3*n**2/2 + 123*n + 240 = 0 for n.
-80, -2
Factor -3*z**3/8 - 1839*z**2/4.
-3*z**2*(z + 1226)/8
Solve 25*v**5/4 - 35*v**4/4 + 5*v**3/2 = 0.
0, 2/5, 1
Factor -2*x**4/5 + 58*x**3/5 - 22*x**2 + 54*x/5.
-2*x*(x - 27)*(x - 1)**2/5
Solve 2*g**2/3 - 64*g = 0.
0, 96
Factor -5*t**2 + 805*t + 2460.
-5*(t - 164)*(t + 3)
Factor -a**2/5 - 8*a/5 + 4.
-(a - 2)*(a + 10)/5
Factor -2*k**3/17 + 44*k**2/17 + 78*k.
-2*k*(k - 39)*(k + 17)/17
Find p such that p**5 + 12*p**4 - 221*p**3 - 12*p**2 + 220*p = 0.
-22, -1, 0, 1, 10
Factor -3*y**4/7 + 25*y**3/7 + 19*y**2/7 - 9*y/7.
-y*(y - 9)*(y + 1)*(3*y - 1)/7
Solve -10*o**4 + 45*o**3 - 5*o**2 - 105*o - 45 = 0 for o.
-1, -1/2, 3
Find u, given that u**4/9 - 5*u**3/3 - u**2/9 + 5*u/3 = 0.
-1, 0, 1, 15
Factor 9*t**5 - 30*t**4 + 34*t**3 - 12*t**2 - 3*t + 2.
(t - 1)**3*(3*t - 2)*(3*t + 1)
Factor -3*w**2 - 186*w.
-3*w*(w + 62)
Let -2*b**2/7 + 180*b/7 + 26 = 0. Calculate b.
-1, 91
Solve -2*u**4/7 + 12*u**3/7 + 34*u**2/7 - 12*u/7 - 32/7 = 0 for u.
-2, -1, 1, 8
Factor -4*h**3 - 452*h**2 + 3336*h - 2880.
-4*(h - 6)*(h - 1)*(h + 120)
Find p, given that -p**4/7 - 10*p**3/7 + 3*p**2/7 + 4*p - 20/7 = 0.
-10, -2, 1
Factor 27*s**4 + 9*s**3 - 114*s**2 + 96.
3*(s + 1)*(s + 2)*(3*s - 4)**2
Factor -2*x**3 + 24*x + 32.
-2*(x - 4)*(x + 2)**2
Factor 972*d**3/5 - 157356*d**2/5 - 17493*d/5 - 486/5.
3*(d - 162)*(18*d + 1)**2/5
Factor -3*o**3 + 96*o**2 - 171*o - 270.
-3*(o - 30)*(o - 3)*(o + 1)
Find m such that -7*m**4/5 + 1836*m**3/5 + 1317*m**2/5 - 526*m/5 = 0.
-1, 0, 2/7, 263
What is c in 4*c**2 + 176*c - 180 = 0?
-45, 1
What is v in -v**2 - 164*v + 165 = 0?
-165, 1
Factor 30*l**2/13 + 662*l - 1148/13.
2*(l + 287)*(15*l - 2)/13
Factor -2*f**3/17 + 44*f**2/17 - 42*f/17.
-2*f*(f - 21)*(f - 1)/17
Find i such that 2*i**5/3 + 8*i**4/3 + 10*i**3/3 + 4*i**2/3 = 0.
-2, -1, 0
Factor 2*r**4 + 6*r**3.
2*r**3*(r + 3)
Determine u so that u**2/3 - 1298*u/3 + 421201/3 = 0.
649
Factor -5*r**4 + 15*r**3 - 20*r.
-5*r*(r - 2)**2*(r + 1)
Let -b**5/4 - 17*b**4/4 + 3*b**3/4 + 53*b**2/4 + 17*b/2 = 0. What is b?
-17, -1, 0, 2
Determine d, given that 4*d**2 + 404*d = 0.
-101, 0
Factor -i**2/3 - 46*i/3 + 47/3.
-(i - 1)*(i + 47)/3
Suppose i**3 + 527*i**2 = 0. What is i?
-527, 0
Find u such that -2*u**3 + 50*u**2 - 176*u + 168 = 0.
2, 21
Find x, given that -3*x**2 - 138*x + 441 = 0.
-49, 3
Determine r, given that -20*r**5 + 64*r**4 + 184*r**3 - 624*r**2 - 36*r + 432 = 0.
-3, -4/5, 1, 3
Factor -o**3 + 29*o**2 + 841*o - 24389.
-(o - 29)**2*(o + 29)
Determine a, given that a**3/4 + 243*a**2/2 + 19683*a + 1062882 = 0.
-162
Suppose -w**3/6 - 3*w**2/2 + 35*w - 100/3 = 0. Calculate w.
-20, 1, 10
Factor -t**4/3 + 122*t**3/3 + 41*t**2.
-t**2*(t - 123)*(t + 1)/3
Let 3*g**4 - 87*g**3 - 603*g**2 - 933*g - 420 = 0. Calculate g.
-4, -1, 35
Determine o, given that -8*o**4 + 44*o**3 + 24*o**2 = 0.
-1/2, 0, 6
Suppose 14*u**3/9 - 46*u**2/9 + 4*u/3 = 0. Calculate u.
0, 2/7, 3
Let -3*f**4 - 9*f**3 + 33*f**2 + 9*f - 30 = 0. What is f?
-5, -1, 1, 2
Suppose 3*p**5 - 24*p**4 + 63*p**3 - 42*p**2 - 60*p + 72 = 0. What is p?
-1, 2, 3
Factor 17*w**2/3 + 107*w/6 + 5/2.
(w + 3)*(34*w + 5)/6
Factor -3*z**5 + 3*z**4 + 3*z**3 - 3*z**2.
-3*z**2*(z - 1)**2*(z + 1)
Determine y, given that -y**2 - 137*y + 138 = 0.
-138, 1
Find a, given that 5*a**5/6 - a**4/2 - 157*a**3/6 + 21*a**2/2 + 400*a/3 + 50 = 0.
-5, -2, -2/5, 3, 5
Factor -x**4 - 169*x**3 + 170*x**2.
-x**2*(x - 1)*(x + 170)
Find h, given that h**4 - 52*h**3 = 0.
0, 52
Factor 2*r**5 - 68*r**4 + 510*r**3 - 1588*r**2 + 2248*r - 1200.
2*(r - 25)*(r - 3)*(r - 2)**3
Determine w, given that -12*w**4/13 + 22*w**3/13 - 8*w**2/13 - 2*w/13 = 0.
-1/6, 0, 1
Solve r**4/6 + 5*r**3/3 = 0 for r.
-10, 0
Determine y, given that y**3/4 + 51*y**2/2 + 624*y - 1352 = 0.
-52, 2
Factor 2*t**4/3 - 28*t**3/3 + 26*t**2/3 + 168*t + 216.
2*(t - 9)**2*(t + 2)**2/3
Solve 4*z**2 + 64*z = 0 for z.
-16, 0
Factor 7*i**3/6 - 127*i**2/6 + 121*i/3 - 16/3.
(i - 16)*(i - 2)*(7*i - 1)/6
Let -a**4 - 3*a**3 + 15*a**2 - 17*a + 6 = 0. What is a?
-6, 1
Find h, given that -h**2/4 - 115*h/4 + 427/2 = 0.
-122, 7
Find s such that -5*s**4 + 690*s**3 + 5*s**2 - 690*s = 0.
-1, 0, 1, 138
Determine y, given that 8*y**2/15 - 394*y/5 - 296/15 = 0.
-1/4, 148
Factor -2*l**5/23 + 20*l**4/23 + 40*l**3/23 - 400*l**2/23 - 1280*l/23 - 1024/23.
-2*(l - 8)**2*(l + 2)**3/23
What is a in 15*a**3 + 70*a**2 - 25*a = 0?
-5, 0, 1/3
Suppose 3*p**4 - 238*p**3 + 76*p**2 + 238*p - 79 = 0. Calculate p.
-1, 1/3, 1, 79
Find k, given that 5*k**5 + 35*k**4 - 190*k**3 + 310*k**2 - 215*k + 55 = 0.
-11, 1
Factor k**3 - 33*k**2 + 360*k - 1300.
(k - 13)*(k - 10)**2
Find s, given that 20*s**5/3 - 248*s**4/3 - 1184*s**3/3 + 512*s**2/3 = 0.
-4, 0, 2/5, 16
Factor -s**2 + 14*s + 15.
-(s - 15)*(s + 1)
Suppose 6*c**3/5 - 44*c**2/5 - 34*c/5 + 16/5 = 0. Calculate c.
-1, 1/3, 8
Factor -3*n**3/5 + 54*n**2 - 2916*n/5 + 8424/5.
-3*(n - 78)*(n - 6)**2/5
Let 4*b**4 + 404*b**3 + 8640*b**2 - 81648*b = 0. What is b?
-54, 0, 7
Factor 4*m**3/7 - 48*m/7 + 64/7.
4*(m - 2)**2*(m + 4)/7
Let -8*o**5 - 70*o**4 - 168*o**3 - 26*o**2 + 176*o + 96 = 0. Calculate o.
-4, -1, -3/4, 1
Factor -4*l**2 - 716*l + 2928.
-4*(l - 4)*(l + 183)
Solve -4*l**4/5 + 12*l**3/5 + 4*l**2/5 - 12*l/5 = 0 for l.
-1, 0, 1, 3
Factor -2*t**2/7 - 20*t/7 - 32/7.
-2*(t + 2)*(t + 8)/7
Factor -4*c**2/7 + 11072*c/7 - 7661824/7.
-4*(c - 1384)**2/7
Find p such that -p**5 - 81*p**4 + 421*p**3 - 767*p**2 + 600*p - 172 = 0.
-86, 1, 2
Factor -6*f**2/7 - 375*f/7 + 381/7.
-3*(f - 1)*(2*f + 127)/7
Factor 5*j**2 - 6555*j + 6550.
5*(j - 1310)*(j - 1)
Find l, given that -l**3 - 69*l**2 + l + 69 = 0.
-69, -1, 1
Factor 14*w**2/5 + 34*w/5.
2*w*(7*w + 17)/5
Solve -2*k**5/3 - 14*k**4/3 - 26*k**3/3 + 2*k**2 + 12*k = 0 for k.
-3, -2, 0, 1
Find x, given that -135*x**2 + 27*x + 6 = 0.
-2/15, 1/3
Solve 3*p**2 - 648*p - 1971 = 0 for p.
-3, 219
Determine i, given that -2*i**2/7 = 0.
0
Determine j, given that -4*j**3 - 72*j**2 + 156*j - 80 = 0.
-20, 1
Factor 4*r**3 - 8*r**2.
4*r**2*(r - 2)
Let -q**5/10 - q**4/10 + 9*q**3/10 + 13*q**2/10 - 4*q/5 - 6/5 = 0. What is q?
-2, -1, 1, 3
Factor 4*f**3 + 44*f**2 + 140*f + 100.
4*(f + 1)*(f + 5)**2
Solve -d**4/6 - 5*d**3/3 - 37*d**2/6 - 10*d - 6 = 0 for d.
-3, -2
What is u in -5*u**4/3 - 110*u**3/3 - 205*u**2/3 - 100*u/3 = 0?
-20, -1, 0
Let -2*o**3/9 + 10*o**2/3 + 28*o/3 - 272/9 = 0. Calculate o.
-4, 2, 17
Factor -2*a**2/7 - 2*a - 20/7.
-2*(a + 2)*(a + 5)/7
Solve -95*l**5 - 185*l**4 + 105*l**3 + 185*l**2 - 10*l = 0.
-2, -1, 0, 1/19, 1
Find f, given that 3*f**4/8 + 129*f**3/8 - 405*f**2/8 + 411*f/8 - 69/4 = 0.
-46, 1
Factor 3*d**5 - 24*d**4 - 99*d**3.
3*d**3*(d - 11)*(d + 3)
Suppose -2*v**4 - 1168*v**3 - 168176*v**2 + 686784*v - 691488 = 0. What is v?
-294, 2
Solve 2*b**4 - 10*b**2 + 8 = 0.
-2, -1, 1, 2
Solve -2*p**4/9 - 526*p**3/9 - 58*p**2 + 526*p/9 + 524/9 = 0.
-262, -1, 1
Let -26*q**5 + 3*q**4 + 47*q**3 - 11*q**2 - 21*q + 8 = 0. What is q?
-1, 1/2, 8/13, 1
Factor g**3/7 + 31*g**2/7 + 40*g/7 - 3600/7.
(g - 9)*(g + 20)**2/7
Suppose -5*z**2 - 30*z - 25 = 0. What is z?
-5, -1
What is d in -5*d**3/8 + 9*d**2/8 + d/4 = 0?
-1/5, 0, 2
Factor 4*i**3 - 8*i**2 - 4*i + 8.
4*(i - 2)*(i - 1)*(i + 1)
Find z such that -2*z**3/11 + 316*z**2/11 - 12160*z/11 - 25600/11 = 0.
-2, 80
Find o, given that 27*o**3 + 2097*o**2 + 39648*o - 41772 = 0.
-118/3, 1
Determine y so that -4418*y**2/11 + 376*y/11 - 8/11 = 0.
2/47
Factor 242*a**4 + 264*a**3 + 72*a**2.
2*a**2*(11*a + 6)**2
Factor 4*d**2/