j**3/5 + 33*j**2/5.
-j**2*(j - 33)/5
Suppose r**5 + 3*r**4 + 2*r**3 = 0. Calculate r.
-2, -1, 0
Factor 4*f**2 - 8184*f + 4186116.
4*(f - 1023)**2
Factor -c**4/2 - 8*c**3 - 65*c**2/2 - 25*c.
-c*(c + 1)*(c + 5)*(c + 10)/2
Find l such that l**2 - 8*l - 20 = 0.
-2, 10
Factor -5*j**3 - 95*j**2.
-5*j**2*(j + 19)
Factor -c**2/7 - 2544*c/7 + 5092/7.
-(c - 2)*(c + 2546)/7
Factor -p**5 + 28*p**4 - 52*p**3.
-p**3*(p - 26)*(p - 2)
Factor -2*f**2/5 + 10*f - 308/5.
-2*(f - 14)*(f - 11)/5
Factor -3*d**3/7 + 72*d**2/7 + 180*d/7 - 624/7.
-3*(d - 26)*(d - 2)*(d + 4)/7
Find l such that 245*l**3 - 315*l**2 - 240*l + 320 = 0.
-1, 8/7
Solve -2*p**3 - 30*p**2 - 54*p - 26 = 0.
-13, -1
Factor 2*q**2/13 + 3622*q/13 - 3624/13.
2*(q - 1)*(q + 1812)/13
Factor -2*k**3 + 14*k**2 + 2*k - 14.
-2*(k - 7)*(k - 1)*(k + 1)
Find u, given that -500*u**3/3 + 300*u**2 - 180*u + 36 = 0.
3/5
Determine q so that 35*q**5/2 + 50*q**4 + 45*q**3 + 10*q**2 - 5*q/2 = 0.
-1, 0, 1/7
Factor -3*x**5 - 15*x**4 - 21*x**3 - 9*x**2.
-3*x**2*(x + 1)**2*(x + 3)
Factor -5*n**3 + 80*n**2.
-5*n**2*(n - 16)
Solve 3*h**4/5 + 74*h**3/5 + 117*h**2/5 + 46*h/5 = 0 for h.
-23, -1, -2/3, 0
Find k such that -4*k**2 - 252*k = 0.
-63, 0
Factor -4*s**5 - 160*s**4 + 332*s**3 - 168*s**2.
-4*s**2*(s - 1)**2*(s + 42)
Factor -y**2 - 18*y + 243.
-(y - 9)*(y + 27)
Factor 5*b**2 - 80*b - 285.
5*(b - 19)*(b + 3)
Factor x**3 - 4*x**2 + 4*x.
x*(x - 2)**2
Factor s**3/10 - 2*s**2 - 43*s/10 - 11/5.
(s - 22)*(s + 1)**2/10
Factor -3*w**3 - 30*w**2 - 63*w.
-3*w*(w + 3)*(w + 7)
Solve 4*c**5 - 48*c**4 + 148*c**3 - 168*c**2 + 64*c = 0.
0, 1, 2, 8
Let 11*f**3/3 - 25*f**2/3 - 12*f = 0. What is f?
-1, 0, 36/11
Factor 2*k**3/21 - 8*k**2/21 + 10*k/21 - 4/21.
2*(k - 2)*(k - 1)**2/21
Find h such that 7*h**5 - 103*h**4 - 142*h**3 - 32*h**2 = 0.
-1, -2/7, 0, 16
Let -x**2/3 - 1612*x/3 - 537 = 0. Calculate x.
-1611, -1
Let 4*y**4 + 100*y**3 - 448*y**2 + 464*y = 0. What is y?
-29, 0, 2
Find l, given that 2*l**4/11 + 8*l**3/11 - 14*l**2/11 - 20*l/11 = 0.
-5, -1, 0, 2
Factor -2*x**3/13 - 1466*x**2/13 - 2926*x/13 - 1462/13.
-2*(x + 1)**2*(x + 731)/13
Find q, given that q**2/2 + 26*q - 53/2 = 0.
-53, 1
Determine x, given that -x**5 - x**4 + 169*x**3 + 169*x**2 = 0.
-13, -1, 0, 13
What is j in -j**4/6 + 1307*j**3/6 - 94830*j**2 + 41155784*j/3 + 41440928/3 = 0?
-1, 436
Solve 6*d**5 + 21*d**4 - 48*d**3 - 6*d**2 + 42*d - 15 = 0 for d.
-5, -1, 1/2, 1
Factor -3*s**4/8 + 7*s**3/4 + 5*s**2/8.
-s**2*(s - 5)*(3*s + 1)/8
Factor 2*d**2/17 - 40*d/17 + 38/17.
2*(d - 19)*(d - 1)/17
Solve -10*j**5/17 + 1272*j**4/17 - 39914*j**3/17 - 35588*j**2/17 + 90624*j/17 - 16384/17 = 0 for j.
-2, 1/5, 1, 64
Find p, given that p**5 - 2*p**4 - 21*p**3 - 22*p**2 + 20*p + 24 = 0.
-2, -1, 1, 6
Factor 2*x**4 + 6*x**3 + 6*x**2 + 2*x.
2*x*(x + 1)**3
Factor 2*h**3 - 32*h**2 + 82*h - 52.
2*(h - 13)*(h - 2)*(h - 1)
Determine u so that 704*u**5/5 - 31984*u**4/5 + 354019*u**3/5 + 211444*u**2/5 + 483*u - 9522/5 = 0.
-3/8, 2/11, 23
What is r in r**3/2 - 57*r**2/2 - 92*r + 120 = 0?
-4, 1, 60
Factor -2*q**2 - 1264*q - 199712.
-2*(q + 316)**2
Solve 4*r**4 + 80*r**3 + 372*r**2 + 520*r + 224 = 0 for r.
-14, -4, -1
Determine m so that 8*m**5/3 - 512*m**4 + 510*m**3 - 382*m**2/3 = 0.
0, 1/2, 191
Factor -o**4/6 + 3*o**3/2 + 97*o**2/6 + 77*o/2 + 24.
-(o - 16)*(o + 1)*(o + 3)**2/6
Find a such that -4*a**3 - 20*a**2 + 52*a - 28 = 0.
-7, 1
Factor -2*a**2/9 - 40*a/3.
-2*a*(a + 60)/9
Factor b**4/2 + 1351*b**3 + 1830597*b**2/2 + 3644998*b + 3639602.
(b + 2)**2*(b + 1349)**2/2
Factor -18*x**3 - 100*x**2 - 96*x + 64.
-2*(x + 2)*(x + 4)*(9*x - 4)
Let -u**4/4 - 39*u**3/4 - 315*u**2/4 + 1323*u/4 = 0. What is u?
-21, 0, 3
Suppose -a**4 + 26*a**3 - 141*a**2 - 364*a - 196 = 0. What is a?
-1, 14
Factor -2*c**2/9 - 1552*c/9 + 518/3.
-2*(c - 1)*(c + 777)/9
Find l, given that -3*l**4/2 + 6*l**3 + 39*l**2/2 - 60*l - 72 = 0.
-3, -1, 4
Factor 9*s**5 + 65*s**4 + 14*s**3.
s**3*(s + 7)*(9*s + 2)
Let 2*j**2/3 - 8532*j + 27298134 = 0. Calculate j.
6399
Suppose 2*i**5 - 22*i**4 - 12*i**3 + 116*i**2 + 170*i + 66 = 0. What is i?
-1, 3, 11
Determine j, given that -j**3/8 + 19*j**2/8 - 8*j + 15/2 = 0.
2, 15
Let -2*s**5/3 + 8*s**4 + 2*s**3/3 - 8*s**2 = 0. What is s?
-1, 0, 1, 12
Factor -3*d**2/2 - 4*d - 8/3.
-(3*d + 4)**2/6
Factor 2*a**3/11 - 1344*a**2 + 3311616*a - 2719940608.
2*(a - 2464)**3/11
Factor 3*g**3 + 4329*g**2 + 2082249*g + 333853923.
3*(g + 481)**3
Suppose -8*y**4/3 + 182*y**3/3 - 134*y**2 - 752*y/3 - 160/3 = 0. Calculate y.
-1, -1/4, 4, 20
Factor 2*z**5 - 26*z**4 + 94*z**3 - 118*z**2 + 48*z.
2*z*(z - 8)*(z - 3)*(z - 1)**2
Find s such that -5*s**3 + 45*s**2 - 40*s = 0.
0, 1, 8
Suppose 100*c**5/9 - 560*c**4/3 + 932*c**3/3 - 1456*c**2/9 + 80*c/3 = 0. Calculate c.
0, 2/5, 1, 15
Factor -6*s**3 - 10*s**2 - 4*s.
-2*s*(s + 1)*(3*s + 2)
Solve -2*n**4 + 28*n**3 - 66*n**2 - 8*n + 88 = 0 for n.
-1, 2, 11
Factor z**5 - 99*z**4.
z**4*(z - 99)
Let -2*l**5/9 - 26*l**4/9 - 68*l**3/9 + 124*l**2/9 + 70*l/9 - 98/9 = 0. What is l?
-7, -1, 1
Find v, given that 5*v**3 - 490*v**2 - 16660*v - 123480 = 0.
-14, 126
Solve 3*j**3 - 36*j**2 + 51*j + 90 = 0 for j.
-1, 3, 10
Factor 4*s**4 + 88*s**3 - 3388*s**2 + 21296*s.
4*s*(s - 11)**2*(s + 44)
Factor 2*o**4/5 - 16*o**3/5 - 198*o**2/5 + 324*o.
2*o*(o - 9)**2*(o + 10)/5
Factor -4*l**2 + 4056*l - 1028196.
-4*(l - 507)**2
Factor -4*k**2 - 5476*k + 5480.
-4*(k - 1)*(k + 1370)
Factor -3*k**3 + 108*k**2 + 117*k - 222.
-3*(k - 37)*(k - 1)*(k + 2)
Solve -7*j**3/6 + 131*j**2/6 - 100*j/3 - 34/3 = 0.
-2/7, 2, 17
Let 10*t**5/3 - 8*t**4/3 - 22*t**3/3 - 4*t**2/3 = 0. What is t?
-1, -1/5, 0, 2
Factor -2*b**2/7 - 160*b/7 + 498/7.
-2*(b - 3)*(b + 83)/7
Factor -b**4/4 - 3*b**3 - 11*b**2/2 + 21*b - 49/4.
-(b - 1)**2*(b + 7)**2/4
Factor 21*v**4/5 + 552*v**3/5 + 741*v**2 + 1014*v/5.
3*v*(v + 13)**2*(7*v + 2)/5
Solve -2*i**2/15 + 12*i/5 - 54/5 = 0.
9
Factor 2*i**5/7 - 288*i**4/7 + 570*i**3/7 - 284*i**2/7.
2*i**2*(i - 142)*(i - 1)**2/7
Solve 2*l**4/13 - 2*l**3/13 - 4*l**2/13 = 0 for l.
-1, 0, 2
Factor -8*b**2 + 6418*b - 1604.
-2*(b - 802)*(4*b - 1)
Solve -38*g**2 + 4*g = 0 for g.
0, 2/19
Factor 2*f**2/3 + 16*f/3 + 14/3.
2*(f + 1)*(f + 7)/3
Determine z, given that 3*z**2/4 - 75*z/4 - 225/2 = 0.
-5, 30
Let 2*w**2/7 - 2600*w/7 + 845000/7 = 0. What is w?
650
What is m in -3*m**3 - 66*m**2 - 312*m - 384 = 0?
-16, -4, -2
Find b such that -b**2 - 20*b + 224 = 0.
-28, 8
Factor 2*i**5 - 410*i**4 + 31620*i**3 - 1092420*i**2 + 14591610*i - 13530402.
2*(i - 51)**4*(i - 1)
Solve 5*j**2/2 - 75*j/2 + 135 = 0.
6, 9
Factor -2*f**3/3 - 4*f**2 - 22*f/3 - 4.
-2*(f + 1)*(f + 2)*(f + 3)/3
Factor -c**3 + 1285*c**2 - 413448*c + 412164.
-(c - 642)**2*(c - 1)
Find y such that 4*y**5/5 - 36*y**4/5 + 101*y**3/5 - 62*y**2/5 - 21*y + 98/5 = 0.
-1, 1, 2, 7/2
Factor 3*r**2 - 441*r + 2940.
3*(r - 140)*(r - 7)
Solve -5*r**3 + 5285*r**2 - 1399200*r + 1393920 = 0.
1, 528
Factor -2*p**3 - 22*p**2 + 28*p + 48.
-2*(p - 2)*(p + 1)*(p + 12)
Solve 2*w**5 + 58*w**4 + 82*w**3 - 682*w**2 + 540*w = 0 for w.
-27, -5, 0, 1, 2
Determine v, given that 3*v**4 - 51*v**3 - 1359*v**2 - 2553*v - 1248 = 0.
-13, -1, 32
Determine b so that -b**3 + 66*b**2 + 277*b + 210 = 0.
-3, -1, 70
Solve 2*n**4/7 - 10*n**3/7 + 18*n**2/7 - 2*n + 4/7 = 0 for n.
1, 2
Factor 4*v**2 - 1424*v.
4*v*(v - 356)
What is t in t**3 - 512*t**2 + 65021*t + 132098 = 0?
-2, 257
Factor -16*c**5 + 18*c**4 - 2*c**3.
-2*c**3*(c - 1)*(8*c - 1)
Solve 4*d**2 + 112*d + 208 = 0.
-26, -2
Solve 12*z**4 - 56*z**3 + 52*z**2 + 24*z = 0.
-1/3, 0, 2, 3
What is l in 16*l**5/3 - 80*l**4/3 - 124*l**3/3 + 176*l**2/3 - 16*l = 0?
-2, 0, 1/2, 6
Find n such that n**2/4 - 49*n + 2401 = 0.
98
Factor 2*w**4/3 - 14*w**3/3 + 6*w**2 + 18*w - 36.
2*(w - 3)**3*(w + 2)/3
Solve -5*i**3 - 665*i**2 - 24800*i - 172980 = 0 for i.
-62, -9
Find w such that -2*w**5/13 - 40*w**4/13 - 58*w**3/13 + 268*w**2/13 + 264*w/13 - 432/13 = 0.
-18, -3, -2, 1, 2
Determine j so that 4*j**5 + 20*j**4 - 24*j**3 - 152*j**2 - 172*j - 60 = 0.
-5, -1, 3
Solve 2*p**3/5 + 816*p**2/5 + 16482*p - 33620 = 0 for p.
-205, 2
Let -8*n**5/5 + 37*n**4/5 - 41*n**3/5 + 3*n**2/5 + 9*n/5 = 0. Calculate n.
-3/8, 0, 1, 3
What is d in -76*d**2/3 - 536*d/3 - 28/3 = 0?
-7, -1/19
Factor -5*x**2 - 35*x - 30.
-5*(x + 1)*(x + 6)
Factor -2*k**5 - 3838*k**4 - 2453760*k**3 - 521830400*k**2 + 