3*n*(n - 2)*(9*n + 2)
Find z, given that z**5/2 - 5*z**4/6 - 13*z**3/6 + z**2/6 + z = 0.
-1, 0, 2/3, 3
Find t such that -2*t**4/3 + 32*t**3/3 - 170*t**2/3 + 124*t - 96 = 0.
2, 3, 8
Find n, given that 4*n**3/9 - 10*n**2/3 + 32*n/9 + 8/3 = 0.
-1/2, 2, 6
Find j such that 2*j**4 - 258*j**3 + 1724*j**2 - 1920*j - 3904 = 0.
-1, 4, 122
Find o, given that -4*o**3 + 156*o**2 - 1296*o = 0.
0, 12, 27
Let 2*x**3/7 - 18*x**2/7 + 48*x/7 - 32/7 = 0. What is x?
1, 4
Let -y**4/3 + 13*y**3/3 - 32*y**2/3 + 20*y/3 = 0. Calculate y.
0, 1, 2, 10
What is q in -5*q**2 + 215*q - 600 = 0?
3, 40
Determine c so that 2*c**5 - 6*c**4 - 12*c**3 + 52*c**2 - 54*c + 18 = 0.
-3, 1, 3
Suppose 5*x**5 - 95*x**4 - 210*x**3 - 10*x**2 + 205*x + 105 = 0. Calculate x.
-1, 1, 21
Factor 3*q**2/2 - 99*q/2 + 93.
3*(q - 31)*(q - 2)/2
Find g, given that -g**2 + 6*g - 9 = 0.
3
Let 2*t**3 - 9276*t**2 + 14340696*t - 7390238672 = 0. What is t?
1546
Let -w**2/2 - 6580*w - 21648200 = 0. What is w?
-6580
Factor -2*h**2 - 12*h + 32.
-2*(h - 2)*(h + 8)
Factor 15*p**2 + 81*p + 84.
3*(p + 4)*(5*p + 7)
Factor -q**2/7 + 2*q + 176/7.
-(q - 22)*(q + 8)/7
What is p in p**5 - 11*p**4 + 24*p**3 + 36*p**2 = 0?
-1, 0, 6
Suppose -f**4 - 27*f**3 + 3*f**2 + 83*f + 54 = 0. Calculate f.
-27, -1, 2
Factor 3*a**2 + 204*a/7 - 60/7.
3*(a + 10)*(7*a - 2)/7
Factor -j**3/3 + 116*j**2/3 + 235*j/3 + 118/3.
-(j - 118)*(j + 1)**2/3
Factor -2*t**3 + 708*t**2 - 83544*t + 3286064.
-2*(t - 118)**3
Determine h so that 2*h**4 + 66*h**3/7 + 36*h**2/7 - 16*h/7 = 0.
-4, -1, 0, 2/7
Factor 2*w**4 + 34*w**3 - 246*w**2 - 586*w - 308.
2*(w - 7)*(w + 1)**2*(w + 22)
Solve -5*w**4 - 165*w**3 + 745*w**2 + 165*w - 740 = 0 for w.
-37, -1, 1, 4
Suppose -3*q**5/7 - 15*q**4/7 - 3*q**3 + 3*q**2/7 + 24*q/7 + 12/7 = 0. Calculate q.
-2, -1, 1
Let 3*g**2 - 351*g/4 + 87/4 = 0. Calculate g.
1/4, 29
Factor -v**3 + 13*v**2 + 46*v + 32.
-(v - 16)*(v + 1)*(v + 2)
Suppose u**4/5 - 27*u**3/5 + 25*u**2 + 27*u/5 - 126/5 = 0. What is u?
-1, 1, 6, 21
Factor 5*a**3 + 485*a**2 + 12000*a + 11520.
5*(a + 1)*(a + 48)**2
What is q in -4*q**2 + 140*q - 136 = 0?
1, 34
Let t**5/8 + 5*t**4/8 + 7*t**3/8 - t**2/8 - t - 1/2 = 0. What is t?
-2, -1, 1
Factor 4*r**4 - 72*r**3 + 324*r**2.
4*r**2*(r - 9)**2
Factor n**3 - 2*n**2 - n + 2.
(n - 2)*(n - 1)*(n + 1)
Factor a**2/8 - 17*a/8 - 9/4.
(a - 18)*(a + 1)/8
Suppose 3*b**2 + 2316*b/5 + 924/5 = 0. What is b?
-154, -2/5
What is u in -2*u**3/5 - 16*u**2 + 86*u/5 + 164/5 = 0?
-41, -1, 2
Factor 11556*r**4 - 7716*r**3 + 8*r**2.
4*r**2*(3*r - 2)*(963*r - 1)
Solve 3*z**4/4 - 33*z**3/2 + 459*z**2/4 - 243*z = 0.
0, 4, 9
Factor 3*g**2/8 + 621*g/8.
3*g*(g + 207)/8
Factor 4*l**5 - 104*l**4 + 1072*l**3 - 5472*l**2 + 13824*l - 13824.
4*(l - 6)**3*(l - 4)**2
Factor -w**2/7 + 25*w/7 + 26/7.
-(w - 26)*(w + 1)/7
Find l such that -16*l**2 - 1680*l - 44100 = 0.
-105/2
Solve -m**3/2 + 11*m**2 - 87*m/2 - 135 = 0.
-2, 9, 15
Let -4*n**3 - 20*n**2 - 24*n = 0. Calculate n.
-3, -2, 0
Factor 2*g**3/9 - 1994*g**2/9 + 496006*g/9 + 498002/9.
2*(g - 499)**2*(g + 1)/9
Factor -4*l**3/3 + 100*l**2/3 - 572*l/3 - 676/3.
-4*(l - 13)**2*(l + 1)/3
Determine d so that -2*d**3/7 - 1094*d**2/7 - 2182*d/7 - 1090/7 = 0.
-545, -1
Factor -2*j**3/7 + 92*j**2/7 - 200*j + 1008.
-2*(j - 18)*(j - 14)**2/7
Find w such that 5*w**2 + 550*w + 15125 = 0.
-55
Let 4*i**4 - 80*i**3 - 84*i**2 = 0. Calculate i.
-1, 0, 21
Let 2*l**2/21 + 6*l/7 + 12/7 = 0. What is l?
-6, -3
Factor -5*l**2 + 55*l.
-5*l*(l - 11)
Suppose g**4 - 4*g**3 + 4*g**2 = 0. Calculate g.
0, 2
Determine y, given that -66*y**3/5 + 194*y**2/5 + 12*y/5 = 0.
-2/33, 0, 3
What is d in -4*d**5 - 200*d**4 - 2840*d**3 - 7840*d**2 + 9660*d + 38088 = 0?
-23, -3, 2
Factor 5*u**4/2 + 10*u**3 + 10*u**2.
5*u**2*(u + 2)**2/2
Determine z so that -2*z**2/9 - 8*z/9 + 154/9 = 0.
-11, 7
Let q**5/4 + 1173*q**4/4 + 343395*q**3/4 - 344569*q**2/4 = 0. What is q?
-587, 0, 1
Factor -5*d**4 - 50*d**3 - 185*d**2 - 300*d - 180.
-5*(d + 2)**2*(d + 3)**2
Suppose -35*s**4 - 50*s**3 + 5*s**2 + 20*s = 0. What is s?
-1, 0, 4/7
Factor -2*d**3/3 + 104*d**2/3 - 470*d/3.
-2*d*(d - 47)*(d - 5)/3
Factor 2*w**3/9 + 28*w**2/3 - 458*w/9 + 188/3.
2*(w - 3)*(w - 2)*(w + 47)/9
Factor -2*o**2/9 + 422*o/9 + 428/3.
-2*(o - 214)*(o + 3)/9
Factor 3*v**3/4 + 15*v**2/2 - 42*v.
3*v*(v - 4)*(v + 14)/4
Factor -i**4/2 - 27*i**3/2 - 51*i**2/2 - 25*i/2.
-i*(i + 1)**2*(i + 25)/2
Factor 2*i**4/15 - 14*i**2/15 - 4*i/5.
2*i*(i - 3)*(i + 1)*(i + 2)/15
Let -4*h**4 - 632*h**3 + 3900*h**2 - 5888*h + 2624 = 0. Calculate h.
-164, 1, 4
What is c in 2*c**3 + 5646*c**2 + 5312886*c + 1666475242 = 0?
-941
Factor d**4 - 8*d**3 + 18*d**2 - 16*d + 5.
(d - 5)*(d - 1)**3
Factor 10*c**4/7 + 16*c**3/7 + 2*c**2/7 - 4*c/7.
2*c*(c + 1)**2*(5*c - 2)/7
Factor j**3 - 87*j**2 + 2523*j - 24389.
(j - 29)**3
Factor 7*m**4 - 92*m**3 + 349*m**2 - 300*m + 36.
(m - 6)**2*(m - 1)*(7*m - 1)
Suppose q**3 + 41*q**2 + 399*q - 441 = 0. What is q?
-21, 1
Solve -q**2 - 23*q + 210 = 0.
-30, 7
Factor 2*a**2/7 - 2*a + 20/7.
2*(a - 5)*(a - 2)/7
Determine f so that 3*f**5/2 - 1668*f**4 + 463704*f**3 = 0.
0, 556
Find s, given that s**5/3 - 5*s**4/3 + 5*s**3/3 + 5*s**2/3 - 2*s = 0.
-1, 0, 1, 2, 3
Find b, given that -5*b**3 + 30*b**2 + 80*b = 0.
-2, 0, 8
Factor 3*h**2 - 42*h.
3*h*(h - 14)
Factor r**3/4 + 115*r**2/4.
r**2*(r + 115)/4
Factor -g**4/3 - 10*g**3/3 + 53*g**2/3 - 14*g.
-g*(g - 3)*(g - 1)*(g + 14)/3
Factor 2*i**2/3 - 10*i/3 - 24.
2*(i - 9)*(i + 4)/3
Solve -5*l**5 - 23*l**4/4 + 7*l**3/2 + 23*l**2/4 + 3*l/2 = 0 for l.
-1, -3/4, -2/5, 0, 1
Factor 3*u**2/8 - 57*u/8 + 18.
3*(u - 16)*(u - 3)/8
Determine x, given that x**3 + 36*x**2 - 435*x + 1150 = 0.
-46, 5
Factor l**2/6 - 221*l/3 - 892/3.
(l - 446)*(l + 4)/6
Factor -2*z**2/17 + 342*z/17.
-2*z*(z - 171)/17
Factor -u**3/5 + 11*u**2/5 + 74*u/5 + 96/5.
-(u - 16)*(u + 2)*(u + 3)/5
Factor -3*p**3 + 6*p**2 - 3*p.
-3*p*(p - 1)**2
Find x, given that 4*x**3 + 204*x**2 + 360*x - 1568 = 0.
-49, -4, 2
Solve 4*z**2 + 1628*z - 8240 = 0.
-412, 5
Determine n, given that 4*n**3 + 40*n**2 - 352*n + 512 = 0.
-16, 2, 4
Let -k**4/2 - 12*k**3 - 72*k**2 - 128*k = 0. What is k?
-16, -4, 0
Factor -a**2 + 15*a - 26.
-(a - 13)*(a - 2)
Determine y, given that -3*y**5/2 - 6*y**4 + 15*y**2 + 3*y/2 - 9 = 0.
-3, -2, -1, 1
Suppose d**2 - 7*d + 6 = 0. Calculate d.
1, 6
What is g in 3*g**5 - 63*g**4 + 309*g**3 - 621*g**2 + 552*g - 180 = 0?
1, 2, 15
What is k in -3*k**4/8 + 63*k**3/8 = 0?
0, 21
What is w in 3*w**2/2 + 27*w + 84 = 0?
-14, -4
Find n, given that n**4/4 - 52*n**3 + 1221*n**2/4 - 911*n/2 + 202 = 0.
1, 4, 202
Solve -y**3 - 118*y**2 - 3360*y + 7200 = 0.
-60, 2
What is t in -10*t**5/3 - 48*t**4 - 62*t**3 - 52*t**2/3 = 0?
-13, -1, -2/5, 0
Factor -24*c**2/7 + 212*c - 2872/7.
-4*(c - 2)*(6*c - 359)/7
Determine y so that -2*y**4 - 10*y**3 + 20*y**2 + 40*y - 48 = 0.
-6, -2, 1, 2
Find f, given that 75*f**4 - 440*f**3 - 3060*f**2 - 400*f = 0.
-4, -2/15, 0, 10
Factor l**2/4 + 123*l/4.
l*(l + 123)/4
Find j such that 4*j**5 + 132*j**4 - 8*j**3 - 264*j**2 + 4*j + 132 = 0.
-33, -1, 1
Factor -4*n**2 - 156*n - 1232.
-4*(n + 11)*(n + 28)
Factor 2*w**2/9 + 152*w/9 + 2888/9.
2*(w + 38)**2/9
Solve b**2/2 - 45*b/2 + 63 = 0.
3, 42
Factor -9*p**2/2 + 143*p/2 + 8.
-(p - 16)*(9*p + 1)/2
Factor 5*m**2 - 55*m - 1380.
5*(m - 23)*(m + 12)
Determine y, given that 5*y**2/9 - 22*y/9 - 5/3 = 0.
-3/5, 5
Factor -i**2 + 139*i.
-i*(i - 139)
Suppose -4*w**2 - 1112*w - 77284 = 0. Calculate w.
-139
Find x, given that 6*x**3 - 62*x**2 + 16*x + 40 = 0.
-2/3, 1, 10
Find t, given that 54*t**3 + 536*t**2 + 1094*t - 84 = 0.
-7, -3, 2/27
Factor d**3/3 + 17*d**2/3 + 82*d/3 + 40.
(d + 3)*(d + 4)*(d + 10)/3
Suppose 2*x**5 - 4*x**4 - 50*x**3 + 220*x**2 - 312*x + 144 = 0. Calculate x.
-6, 1, 2, 3
Solve -w**5/4 - 23*w**4 - 45*w**3/2 + 23*w**2 + 91*w/4 = 0.
-91, -1, 0, 1
Solve 225*k**4 - 1635*k**3 + 2674*k**2 - 628*k + 40 = 0 for k.
2/15, 2, 5
Suppose 125*u**4/3 + 300*u**3 + 320*u**2 + 368*u/3 + 16 = 0. Calculate u.
-6, -2/5
Factor -4*t**4 - 8*t**3 + 112*t**2 - 184*t + 84.
-4*(t - 3)*(t - 1)**2*(t + 7)
Let 3*q**5 - 39*q**4/2 + 45*q**3 - 42*q**2 + 12*q = 0. Calculate q.
0, 1/2, 2
Factor -4*h**4 + 8*h**3 + 16*h**2 - 32*h.
-4*h*(h - 2)**2*(h + 2)
Determine y, given that 2*y**3/5 - 34*y**2/5 - 248*y/5 + 616/5 = 0.
-7, 2, 22
Find t, given that 6*t**3/11 + 90*t**