*m**4/8 + 9*m**3/2 - 3*m**2/8 - 9*m/2.
3*m*(m - 1)*(m + 1)*(m + 12)/8
Let i**5/3 - 5*i**4 + 74*i**3/3 - 110*i**2/3 - 25*i + 125/3 = 0. Calculate i.
-1, 1, 5
Suppose b**4/2 - 31*b**3 - 63*b**2/2 = 0. What is b?
-1, 0, 63
Let -2*x**5 - 46*x**4 - 398*x**3 - 1586*x**2 - 2800*x - 1568 = 0. Calculate x.
-7, -4, -1
Factor -2*k**4/3 + 2*k**3 - 8*k/3.
-2*k*(k - 2)**2*(k + 1)/3
Suppose -3*b**2/5 - 336*b + 1683/5 = 0. Calculate b.
-561, 1
Let -f**5/4 + 5*f**4/2 + 27*f**3/4 - 8*f**2 - 13*f + 12 = 0. What is f?
-2, 1, 12
Find l such that 2*l**3 + 8*l**2 - 242*l - 968 = 0.
-11, -4, 11
Determine v, given that -45*v**5 + 1938*v**4 - 26484*v**3 + 94230*v**2 + 277425*v + 81000 = 0.
-8/5, -1/3, 15
Find u such that 2*u**4/13 + 58*u**3/13 + 190*u**2/13 - 250*u/13 = 0.
-25, -5, 0, 1
Find i such that -i**5/4 + 41*i**4/4 - 57*i**3/2 - i**2 + 38*i = 0.
-1, 0, 2, 38
Let 9*i**5/2 - 43*i**4/2 + 17*i**3/2 + 51*i**2/2 - 13*i - 4 = 0. What is i?
-1, -2/9, 1, 4
Determine s, given that -s**3/9 - 110*s**2/9 - 348*s - 648 = 0.
-54, -2
Solve -4*a**5/7 - 204*a**4/7 + 1096*a**3/7 - 1360*a**2/7 - 864*a/7 + 256 = 0 for a.
-56, -1, 2
Find n, given that n**5/3 - 1297*n**4/3 + 2590*n**3/3 + 2*n**2/3 - 2591*n/3 + 1295/3 = 0.
-1, 1, 1295
Factor m**3/3 + 14*m**2/3.
m**2*(m + 14)/3
Factor 2*u**2/5 - 4*u/5 - 6/5.
2*(u - 3)*(u + 1)/5
Factor i**3/11 + 59*i**2/11 - 62*i/11 - 120/11.
(i - 2)*(i + 1)*(i + 60)/11
Factor -3*l**2/4 - 171*l/2 - 9747/4.
-3*(l + 57)**2/4
Suppose y**5/2 - 7*y**4 - 111*y**3/2 - 88*y**2 - 40*y = 0. Calculate y.
-4, -1, 0, 20
Factor -3*h**2/2 - 1095*h.
-3*h*(h + 730)/2
Suppose -o**2/6 + 41*o/6 - 20/3 = 0. What is o?
1, 40
Factor 1029*p**4 + 4998*p**3 + 3780*p**2 + 1032*p + 96.
3*(p + 4)*(7*p + 2)**3
Solve -4*a**4 - 56*a**3 - 156*a**2 + 344*a + 448 = 0.
-8, -7, -1, 2
Solve -a**3 + 49*a**2 - 760*a + 3600 = 0 for a.
9, 20
Determine p so that 2*p**3 - 24*p**2 = 0.
0, 12
Factor 2*r**2/17 - 86*r/17 - 180/17.
2*(r - 45)*(r + 2)/17
Let -4*c**2 - 728*c - 1440 = 0. What is c?
-180, -2
Factor -2*y**3/3 - 250*y**2/3.
-2*y**2*(y + 125)/3
Suppose 2*a**2 - 76*a + 722 = 0. Calculate a.
19
Factor l**2/7 + 2*l + 33/7.
(l + 3)*(l + 11)/7
Factor -g**2/3 + 2720*g/3 - 1849600/3.
-(g - 1360)**2/3
What is n in -4*n**5 + 77*n**4 + 145*n**3 + 43*n**2 - 21*n = 0?
-1, 0, 1/4, 21
Find s such that -3*s**4 + 72*s**3 - 429*s**2 - 72*s + 432 = 0.
-1, 1, 12
Factor n**2/3 + 56*n + 2352.
(n + 84)**2/3
Solve p**2/5 + 2399*p/5 = 0.
-2399, 0
Solve 2883*i**3 - 5673*i**2 - 2208*i + 6348 = 0 for i.
-1, 46/31
Factor -s**3/10 + s**2/5 + s/2 - 3/5.
-(s - 3)*(s - 1)*(s + 2)/10
Factor 2*m**2 - 592*m.
2*m*(m - 296)
Factor -f**2/2 + 89*f - 516.
-(f - 172)*(f - 6)/2
Find s, given that -2*s**2 + 24*s - 22 = 0.
1, 11
Suppose -3*h**3/5 + 3*h**2 + 51*h/5 - 63/5 = 0. Calculate h.
-3, 1, 7
Factor 4*r**3 - 36*r**2 + 72*r.
4*r*(r - 6)*(r - 3)
Solve -2*j**2/15 - 6*j/5 + 4/3 = 0.
-10, 1
Solve 2*x**5/11 + 10*x**4/11 + 12*x**3/11 - 4*x**2/11 - 14*x/11 - 6/11 = 0 for x.
-3, -1, 1
Solve 20*d**3/21 + 38*d**2/7 + 64*d/21 - 10/7 = 0.
-5, -1, 3/10
Factor 4*l**5/7 + 4*l**4/7 - 4*l**3/7 - 4*l**2/7.
4*l**2*(l - 1)*(l + 1)**2/7
Find f, given that -8*f**5/13 - 22*f**4/13 + 6*f**3 - 58*f**2/13 + 10*f/13 = 0.
-5, 0, 1/4, 1
Solve -3*w**4/7 - 3*w**3/7 + 3*w**2 + 3*w/7 - 18/7 = 0 for w.
-3, -1, 1, 2
Solve 26*b**4/5 + 994*b**3 + 240354*b**2/5 + 54302*b + 7220 = 0.
-95, -1, -2/13
Let -r**3 - 9087*r**2 - 20647935*r - 20638849 = 0. What is r?
-4543, -1
Determine i so that 4*i**4/3 - 136*i**2/3 - 128*i - 84 = 0.
-3, -1, 7
Find x such that -4*x**4 - 44*x**3 - 76*x**2 - 36*x = 0.
-9, -1, 0
Factor -3*a**2 - 624*a + 627.
-3*(a - 1)*(a + 209)
Factor -g**3 + 14*g**2 - 11*g - 26.
-(g - 13)*(g - 2)*(g + 1)
Suppose -2*a**3/13 + 22*a**2/13 + 160*a/13 = 0. What is a?
-5, 0, 16
What is u in -150*u**4 + 3985*u**3 + 1780*u**2 - 665*u - 270 = 0?
-1/2, -1/3, 2/5, 27
Factor -2*p**4/7 - 20*p**3/7 + 72*p**2/7 - 76*p/7 + 26/7.
-2*(p - 1)**3*(p + 13)/7
Factor a**2/2 + 21*a/2 + 34.
(a + 4)*(a + 17)/2
Factor -3*m**3 + 114*m**2 - 603*m + 864.
-3*(m - 32)*(m - 3)**2
Factor 5*l**3/3 + 95*l**2/3 - 20*l/3 - 380/3.
5*(l - 2)*(l + 2)*(l + 19)/3
Factor 2*i**3/5 + 16*i**2/5 - 2*i/5 - 16/5.
2*(i - 1)*(i + 1)*(i + 8)/5
Factor 4*q**2/5 + 434*q - 1086/5.
2*(q + 543)*(2*q - 1)/5
Factor -m**3/4 - 69*m**2 - 137*m.
-m*(m + 2)*(m + 274)/4
Solve -3*n**4/5 - 1284*n**3/5 - 1281*n**2/5 = 0 for n.
-427, -1, 0
Factor -m**5/4 + 47*m**4/4 - 45*m**3/2.
-m**3*(m - 45)*(m - 2)/4
Factor -4*a**5 - 28*a**4 + 24*a**3 + 136*a**2 - 212*a + 84.
-4*(a - 1)**3*(a + 3)*(a + 7)
Factor -2*q**3/13 + 132*q**2/13 - 256*q/13.
-2*q*(q - 64)*(q - 2)/13
Determine i, given that 4*i**3 - 40*i**2 = 0.
0, 10
Find j, given that 27*j**5 + 3*j**4 - 300*j**3 - 516*j**2 - 240*j = 0.
-2, -10/9, -1, 0, 4
Determine k so that 3*k**5 - 30*k**4 - 42*k**3 + 504*k**2 + 999*k + 486 = 0.
-3, -1, 6, 9
Solve 5*p**3 + 355*p**2 - 360*p = 0 for p.
-72, 0, 1
Factor -d**2 - 42*d - 441.
-(d + 21)**2
Determine o, given that -o**5/6 + o**4/2 + o**3/6 - o**2/2 = 0.
-1, 0, 1, 3
What is u in 4*u**2/3 - 208*u + 620/3 = 0?
1, 155
Determine w so that 3*w**5 + 18*w**4 + 21*w**3 - 18*w**2 - 24*w = 0.
-4, -2, -1, 0, 1
Let j**4/2 - 6*j**3 - 27*j**2/2 - 7*j = 0. Calculate j.
-1, 0, 14
What is s in 4*s**2 - 80*s = 0?
0, 20
Let -j**4/7 + j**2/7 = 0. What is j?
-1, 0, 1
Factor 2*y**2/9 + 494*y/9 + 216.
2*(y + 4)*(y + 243)/9
Factor -r**5 - 16*r**4 - 41*r**3 - 26*r**2.
-r**2*(r + 1)*(r + 2)*(r + 13)
Find z such that -2*z**2 - 88*z - 246 = 0.
-41, -3
Let -s**4/7 + 5*s**3/7 + 6*s**2/7 - 32*s/7 - 32/7 = 0. What is s?
-2, -1, 4
Determine m so that m**4/6 + 13*m**3/3 + 193*m**2/6 + 94*m + 96 = 0.
-16, -4, -3
Factor -2*b**3/7 + 106*b**2/7 - 204*b/7.
-2*b*(b - 51)*(b - 2)/7
Factor -2*g**4 - 112*g**3 + 486*g**2 + 324*g - 2160.
-2*(g - 3)**2*(g + 2)*(g + 60)
Let -2*g**5 - 408*g**4 - 20808*g**3 = 0. Calculate g.
-102, 0
Factor c**3/4 + c**2/4 - 6*c + 9.
(c - 3)*(c - 2)*(c + 6)/4
Find g such that 3*g**3 - 21*g**2 - 1176*g + 12348 = 0.
-21, 14
Factor 1024*g**2/7 + 192*g/7 + 9/7.
(32*g + 3)**2/7
What is p in 4*p**2 + 68*p - 1736 = 0?
-31, 14
Find a, given that 8*a**5/3 + 50*a**4/3 + 36*a**3 + 88*a**2/3 + 16*a/3 = 0.
-2, -1/4, 0
Factor -b**3 - 265*b**2 + 533*b - 267.
-(b - 1)**2*(b + 267)
Factor 2*p**3/13 + 304*p**2/13 - 3240*p/13.
2*p*(p - 10)*(p + 162)/13
Solve 5*h**2 + 5640*h + 1590480 = 0.
-564
Suppose -48*d**4/5 - 192*d**3/5 - 141*d**2/5 + 12*d/5 + 9/5 = 0. What is d?
-3, -1, -1/4, 1/4
Suppose 5*g**5 + 595*g**4 + 23400*g**3 + 296000*g**2 - 320000*g = 0. What is g?
-40, 0, 1
Factor 10*r**3 + 24*r**2 + 8*r.
2*r*(r + 2)*(5*r + 2)
Factor d**3 + 7*d**2 + 15*d + 9.
(d + 1)*(d + 3)**2
Factor -3*d**2/5 - 108*d/5 - 189.
-3*(d + 15)*(d + 21)/5
Factor 3*j**4/2 + 9*j**3/2 + 9*j**2/2 + 3*j/2.
3*j*(j + 1)**3/2
Determine t, given that -2*t**3 + 80*t**2 = 0.
0, 40
Factor -j**3/8 - 17*j**2/8 - 10*j - 8.
-(j + 1)*(j + 8)**2/8
Solve -30*c**4/11 + 146*c**3/11 + 260*c**2/11 - 328*c/11 - 48/11 = 0.
-2, -2/15, 1, 6
What is n in -3*n**5/4 - n**4 + n**3/4 + n**2/2 = 0?
-1, 0, 2/3
Solve -n**4 - 5*n**3 - 7*n**2 - 3*n = 0.
-3, -1, 0
Find g, given that 4*g**5 - 46*g**4 - 88*g**3 + 736*g**2 + 384*g = 0.
-4, -1/2, 0, 4, 12
Factor w**5/3 - 4*w**4/3 - 2*w**3 + 4*w**2/3 + 5*w/3.
w*(w - 5)*(w - 1)*(w + 1)**2/3
Let 2*a**3/5 - 28*a**2/5 + 88*a/5 - 16 = 0. Calculate a.
2, 10
Solve 96*w**4/11 + 1200*w**3/11 + 2502*w**2/11 + 1032*w/11 + 120/11 = 0.
-10, -2, -1/4
Find h, given that -2*h**4/3 + 14*h**3/3 + 8*h**2 - 56*h/3 - 64/3 = 0.
-2, -1, 2, 8
Determine u so that -4*u**3 - 40*u**2 + 43*u - 11 = 0.
-11, 1/2
Factor 2*u**3 - 74*u + 168.
2*(u - 4)*(u - 3)*(u + 7)
Determine r so that 5*r**3 - 205*r**2 - 5*r + 205 = 0.
-1, 1, 41
Factor 2*g**2 + 10*g + 8.
2*(g + 1)*(g + 4)
Factor 14648*v**2/5 - 3678*v/5 + 4/5.
2*(4*v - 1)*(1831*v - 2)/5
Factor 2*p**2/9 + 14*p/9 - 16/9.
2*(p - 1)*(p + 8)/9
Find g, given that -g**3 + 39*g**2/2 - 108*g + 243/2 = 0.
3/2, 9
Determine s, given that s**4/2 + 21*s**3/2 - 351*s**2/2 + 1435*s/2 - 825 = 0.
-33, 2, 5
Find k such that 30*k**2/7 + 3294*k/7 - 660/7 = 0.
-110, 1/5
Determine i, given that -2*i**2/9 - 364*i/9 = 0.
-182, 0
Factor -3*o**2/7 - 48*o/7 - 12.
-3*(o + 2)*(o + 14)/7
Solve 2*m**4/9 - 8*m**3/9 + 10*m**2/9 - 4*m/9 = 0.
0, 1, 2
Factor 3*n**3/4 - 63*n**2/4 + 15*n.
3*n*(n - 20)*(n