rmine h, given that -12*h**5 + 36*h**4 + 33*h**3 - 90*h**2 - 75*h = 0.
-1, 0, 5/2
Factor 2*t**2/9 + 38*t/9 - 184/9.
2*(t - 4)*(t + 23)/9
Factor -2*j**2 + 14*j - 12.
-2*(j - 6)*(j - 1)
Suppose -4*q**4 + 28*q**3 + 12*q**2 - 252*q + 216 = 0. What is q?
-3, 1, 3, 6
What is i in 2*i**3/3 - 46*i**2/3 + 74*i + 90 = 0?
-1, 9, 15
Let 4*v**4/7 - 148*v**3/7 + 1292*v**2/7 + 1444*v/7 = 0. Calculate v.
-1, 0, 19
Let -p**3/9 - 22*p**2/9 + p/9 + 22/9 = 0. What is p?
-22, -1, 1
Determine y so that -24*y**4 - 255*y**3 + 1707*y**2 - 2553*y + 1125 = 0.
-125/8, 1, 3
Factor x**2/10 - 171*x/5 + 341/10.
(x - 341)*(x - 1)/10
Factor -o**2/3 - 7*o/3 - 2.
-(o + 1)*(o + 6)/3
Factor 4*b**3 + 44*b**2 + 96*b.
4*b*(b + 3)*(b + 8)
Factor j**2/3 + 221*j/3.
j*(j + 221)/3
Solve -6*r**5/7 - 6*r**4 + 60*r**3/7 + 96*r**2/7 = 0 for r.
-8, -1, 0, 2
Factor d**2/10 + 636*d/5 + 202248/5.
(d + 636)**2/10
Find j such that 27*j**4/7 + 63306*j**3/7 + 37065639*j**2/7 - 49505292*j/7 + 16511148/7 = 0.
-1173, 2/3
Factor 2*s**5/3 - 298*s**4/3 + 10646*s**3/3 + 33746*s**2/3 + 34352*s/3 + 11552/3.
2*(s - 76)**2*(s + 1)**3/3
Suppose -10*x**3/3 + 61*x**2 - 288*x + 81 = 0. Calculate x.
3/10, 9
Find i, given that -4*i**5/7 + 32*i**4 + 212*i**3 + 344*i**2/7 - 6016*i/7 + 3968/7 = 0.
-4, 1, 62
Factor x**4/3 - 49*x**3/3 + 191*x**2 - 441*x - 1782.
(x - 33)*(x - 9)**2*(x + 2)/3
Solve 6*z**3 + 39*z**2/2 - 27/2 = 0 for z.
-3, -1, 3/4
Determine p, given that 25*p**4 - 65*p**3 - 170*p**2 + 120*p = 0.
-2, 0, 3/5, 4
Factor -248*i**2 + 148*i - 12.
-4*(2*i - 1)*(31*i - 3)
Factor g**2/4 + 219*g + 47961.
(g + 438)**2/4
Determine n, given that -64*n**4 + 176*n**3 - 108*n**2 + 25*n - 2 = 0.
1/4, 2
Factor -4*h**4/9 - 4*h**3/3 + 64*h**2/9 - 16*h/3.
-4*h*(h - 2)*(h - 1)*(h + 6)/9
Suppose 4*b**4 - 16*b**3 - 20*b**2 = 0. What is b?
-1, 0, 5
Factor 4*x**2 - 36*x + 32.
4*(x - 8)*(x - 1)
What is d in 3*d**5 - 39*d**4 - 27*d**3 + 363*d**2 - 120*d - 468 = 0?
-3, -1, 2, 13
Determine n, given that -9*n**4 + 12*n**3 + 48*n**2 - 48*n - 48 = 0.
-2, -2/3, 2
Solve n**2/3 + 46*n/3 + 56 = 0.
-42, -4
Factor l**2/5 + 3*l - 154/5.
(l - 7)*(l + 22)/5
Solve -5*v**5 + 29*v**4 - 66*v**3 + 74*v**2 - 41*v + 9 = 0.
1, 9/5
Let 2*p**2/5 - 42*p/5 = 0. Calculate p.
0, 21
Factor 14*v**4 - 80*v**3 - 122*v**2 - 28*v.
2*v*(v - 7)*(v + 1)*(7*v + 2)
Find u such that u**5/7 + 10*u**4/7 + 17*u**3/7 + 8*u**2/7 = 0.
-8, -1, 0
Let -29*x**4/2 - 259*x**3/2 - 765*x**2/2 - 729*x/2 + 27 = 0. What is x?
-3, 2/29
Factor -2*g**3 - 166*g**2 + 168*g.
-2*g*(g - 1)*(g + 84)
Determine m so that -7*m**4/4 + 159*m**3/4 - 397*m**2/2 - 312*m - 72 = 0.
-1, -2/7, 12
Factor -2*s**3/5 + 142*s**2/5 - 296*s - 1624/5.
-2*(s - 58)*(s - 14)*(s + 1)/5
Factor -j**3/2 - 851*j**2/2 + j/2 + 851/2.
-(j - 1)*(j + 1)*(j + 851)/2
Find g, given that -4*g**5 + 2984*g**4 - 8924*g**3 + 5944*g**2 = 0.
0, 1, 2, 743
Solve x**3/3 + 29*x**2/3 + 103*x/3 + 25 = 0.
-25, -3, -1
Determine f so that -2*f**3/19 + 2*f**2/19 + 16*f/19 - 24/19 = 0.
-3, 2
Factor 2*b**3 + 6*b**2.
2*b**2*(b + 3)
Suppose 36*d**4 - 116*d**3 + 132*d**2 - 60*d + 8 = 0. Calculate d.
2/9, 1
Determine y, given that y**3/2 - 3419*y**2/2 - 6841*y/2 - 3421/2 = 0.
-1, 3421
Solve 5*b**5 - 30*b**4 + 65*b**3 - 60*b**2 + 20*b = 0.
0, 1, 2
Factor -b**2/6 - b/2.
-b*(b + 3)/6
Suppose -4*q**5/7 - 88*q**4/7 - 164*q**3/7 - 80*q**2/7 = 0. What is q?
-20, -1, 0
Suppose -8*d**5 - 62*d**4 - 104*d**3 + 30*d**2 = 0. Calculate d.
-5, -3, 0, 1/4
Solve 756*h**5/5 + 177*h**4 + 18*h**3 - 9*h**2 - 6*h/5 = 0 for h.
-1, -1/4, -1/7, 0, 2/9
Let -36*n**3 - 596*n**2 + 704*n + 1264 = 0. Calculate n.
-158/9, -1, 2
Suppose -5*s**2 + 1070*s - 57245 = 0. What is s?
107
Factor -4*l**3 + 60*l**2 - 192*l + 176.
-4*(l - 11)*(l - 2)**2
Factor -3*f**3 - 765*f**2 + 768*f.
-3*f*(f - 1)*(f + 256)
Factor 3*n**4/7 - 519*n**3/7 - 1047*n**2/7 - 75*n.
3*n*(n - 175)*(n + 1)**2/7
Find y, given that -5*y**4 + 20*y**3 + 65*y**2 - 140*y - 300 = 0.
-2, 3, 5
Factor -x**5/7 - x**4/7 + x**3/7 + x**2/7.
-x**2*(x - 1)*(x + 1)**2/7
Solve 3*l**5 + 8*l**4 + 4*l**3 - 6*l**2 - 7*l - 2 = 0.
-1, -2/3, 1
Factor -2*h**3/9 + 16*h**2/9 + 22*h/9 - 4.
-2*(h - 9)*(h - 1)*(h + 2)/9
Determine m, given that -2*m**4 + 64*m**3 + 74*m**2 - 256*m - 264 = 0.
-2, -1, 2, 33
Factor 2*p**2/9 + 1712*p/9 + 366368/9.
2*(p + 428)**2/9
Solve 3*q**4/4 - 597*q**3/4 - 6825*q**2/4 - 21975*q/4 - 7875/2 = 0 for q.
-5, -1, 210
Factor -3*m**3 + 18*m**2 + 561*m - 2340.
-3*(m - 15)*(m - 4)*(m + 13)
Determine u so that -5*u**4 + 105*u**3 - 285*u**2 + 275*u - 90 = 0.
1, 18
Factor 5*q**4 - 170*q**3 + 1645*q**2 - 4900*q.
5*q*(q - 20)*(q - 7)**2
Factor c**2/2 - 302*c.
c*(c - 604)/2
What is u in 2*u**5 + 24*u**4 + 84*u**3 + 104*u**2 + 42*u = 0?
-7, -3, -1, 0
Let -2*b**2/5 - 2*b/5 = 0. Calculate b.
-1, 0
Factor -6*o**2/11 + 68*o/11 + 130/11.
-2*(o - 13)*(3*o + 5)/11
Find h, given that 21*h**5/2 + 51*h**4/2 - 3*h**3/2 - 51*h**2/2 - 9*h = 0.
-2, -1, -3/7, 0, 1
Factor -2*s**3/5 - 24*s**2 - 2394*s/5 - 15876/5.
-2*(s + 18)*(s + 21)**2/5
Solve 2*b**3 - 108*b**2 - 122*b + 660 = 0 for b.
-3, 2, 55
Factor c**5/3 + 16*c**4/3 + 21*c**3 - 16*c**2/3 - 64*c/3.
c*(c - 1)*(c + 1)*(c + 8)**2/3
Factor 5*m**2/6 - 2780*m/3 + 772840/3.
5*(m - 556)**2/6
Solve -h**2/3 + 3730*h/3 - 3478225/3 = 0.
1865
Factor -70*m**2 - 446*m - 156.
-2*(m + 6)*(35*m + 13)
Let -5*y**4 - 175*y**3 - 1740*y**2 - 3200*y + 5120 = 0. Calculate y.
-16, -4, 1
Factor -z**2 - 193*z - 382.
-(z + 2)*(z + 191)
Factor 2*c**2/7 + 24*c/7 + 40/7.
2*(c + 2)*(c + 10)/7
Factor -3*a**3 - 54*a**2 - 243*a - 324.
-3*(a + 3)**2*(a + 12)
Let 20*h**2 + 10996*h - 2200 = 0. Calculate h.
-550, 1/5
Factor n**2/4 - 1/4.
(n - 1)*(n + 1)/4
Factor -h**4/8 + h**3/4.
-h**3*(h - 2)/8
Determine m so that -5*m**2 - 110*m + 240 = 0.
-24, 2
Let 12*r**3 + 1460*r**2 + 3824*r + 1904 = 0. Calculate r.
-119, -2, -2/3
Factor 4*o**2 - 20*o - 24.
4*(o - 6)*(o + 1)
Factor 4*u**3 - 1056*u**2 + 92928*u - 2725888.
4*(u - 88)**3
Let -3*q**5 + 33*q**4 + 411*q**3 - 3249*q**2 - 16632*q + 19440 = 0. What is q?
-9, -5, 1, 12
Let -5*l**3 + 155*l**2 - 555*l + 405 = 0. What is l?
1, 3, 27
Suppose -5*d**3 + 50*d**2 - 145*d + 100 = 0. What is d?
1, 4, 5
Determine n, given that -24*n**3 - 50*n**2 - 4*n = 0.
-2, -1/12, 0
Factor -c**5/5 - 2*c**4/5 + 6*c**3/5 + 4*c**2 + 19*c/5 + 6/5.
-(c - 3)*(c + 1)**3*(c + 2)/5
Factor o**5/7 + o**4/7 - 6*o**3/7.
o**3*(o - 2)*(o + 3)/7
Solve 2*g**5 + 10*g**4 + 14*g**3 + 6*g**2 = 0.
-3, -1, 0
Factor -2*i**2 + 34*i - 84.
-2*(i - 14)*(i - 3)
Suppose 2*a**5/3 - 34*a**4 + 1214*a**3/3 + 1050*a**2 - 24544*a/3 + 6760 = 0. Calculate a.
-5, 1, 3, 26
Factor -y**2/3 + 20*y/3 - 19/3.
-(y - 19)*(y - 1)/3
Find r such that 6*r**3 + 597*r**2 - 2145*r + 1854 = 0.
-103, 3/2, 2
Let -r**4/11 + 182*r**3/11 - 8281*r**2/11 = 0. What is r?
0, 91
Determine k so that -4*k**4/5 + 4*k**3/5 + 36*k**2/5 + 44*k/5 + 16/5 = 0.
-1, 4
Factor -3*v**3 - 63*v**2 + 3*v + 63.
-3*(v - 1)*(v + 1)*(v + 21)
Determine u so that u**2/4 - 457*u/4 + 114 = 0.
1, 456
Factor -5*t**2/2 - 675*t/2 - 990.
-5*(t + 3)*(t + 132)/2
Factor -3*n**3 - 540*n**2 - 537*n.
-3*n*(n + 1)*(n + 179)
Factor 2*d**2 + 400*d - 402.
2*(d - 1)*(d + 201)
Solve -37*s**3 - 2*s**2 = 0.
-2/37, 0
What is w in -w**5/4 - 21*w**4/4 + 211*w**3/4 - 591*w**2/4 + 261*w/2 = 0?
-29, 0, 2, 3
Suppose -v**5 + 32*v**4 - 281*v**3 + 322*v**2 + 1140*v - 1800 = 0. What is v?
-2, 2, 15
Factor 3*x**4 + 723*x**3 + 714*x**2 - 1440*x.
3*x*(x - 1)*(x + 2)*(x + 240)
Factor 4*i**4 + 36*i**3 + 44*i**2 - 84*i.
4*i*(i - 1)*(i + 3)*(i + 7)
Solve -8*g**3/11 + 150*g**2/11 - 756*g/11 + 486/11 = 0 for g.
3/4, 9
Let 94*r**2/9 - 4*r/9 = 0. What is r?
0, 2/47
What is w in 2*w**3/9 - 46*w**2 - 566*w/3 + 2110/9 = 0?
-5, 1, 211
Factor o**2 + 30*o + 161.
(o + 7)*(o + 23)
Factor 3*g**3/7 + 2574*g**2/7 + 736164*g/7 + 70180968/7.
3*(g + 286)**3/7
Let 5*n**2 + 50*n + 125 = 0. Calculate n.
-5
Factor 4*d**4/3 - 32*d**3 + 472*d**2/3 + 416*d + 676/3.
4*(d - 13)**2*(d + 1)**2/3
Factor -10*f**2 + 42*f - 32.
-2*(f - 1)*(5*f - 16)
Find b such that 2*b**4/7 + 324*b**3/7 - 1664*b**2/7 + 1020*b/7 + 3006/7 = 0.
-167, -1, 3
Find y such that 4*y**3 + 456*y**2 + 12528*y - 26912 = 0.
-58, 2
Let 121*h**5 + 330*h**4 - 7475*h**3 - 10500*h**2 + 122500*h = 0. What is h?
-70/11, 0, 5
Determine f, given that -289*f**3/6 + 340*f**2/3 - 71*f/2 + 3 = 0.
3/17, 2
Let -2*l**