
-3*s*(s - 2)*(s + 2)**2/7
Find w such that 2*w**3/21 + 26*w**2/21 + 16*w/3 + 160/21 = 0.
-5, -4
Suppose 2*h**4/5 + 76*h**3/5 + 58*h**2/5 - 616*h/5 - 888/5 = 0. What is h?
-37, -2, 3
Determine q, given that -q**3/11 - 7*q**2/11 - 15*q/11 - 9/11 = 0.
-3, -1
Find t, given that t**4 + 155*t**3 - 313*t**2 + 157*t = 0.
-157, 0, 1
Factor -p**2/8 + 576*p - 663552.
-(p - 2304)**2/8
Factor -328*i**2/9 - 2*i/9.
-2*i*(164*i + 1)/9
Factor -5*f**2 + 1310*f - 85805.
-5*(f - 131)**2
Let t**5/2 - 2*t**4 + t**3 + 2*t**2 - 3*t/2 = 0. Calculate t.
-1, 0, 1, 3
Solve 2*q**5/7 - 82*q**4/7 + 162*q**3 - 938*q**2 + 1960*q = 0 for q.
0, 7, 20
Determine c so that c**2 - 46*c - 495 = 0.
-9, 55
Determine q so that 8*q**3 + 52*q**2 + 52*q - 40 = 0.
-5, -2, 1/2
Factor -5*b**4/3 - 2*b**3/3 + 80*b**2/3 + 32*b/3.
-b*(b - 4)*(b + 4)*(5*b + 2)/3
Solve -t**2/8 + 211*t - 89042 = 0.
844
Determine f so that f**2 - 842*f + 177241 = 0.
421
Let -4*k**2/7 - 288*k/7 - 828/7 = 0. What is k?
-69, -3
Factor -334084*s**4 + 1734*s**3 - 9*s**2/4.
-s**2*(1156*s - 3)**2/4
Let 5*x**3 - 15*x**2 - 5*x + 15 = 0. Calculate x.
-1, 1, 3
Factor 3*l**2 - 84*l + 81.
3*(l - 27)*(l - 1)
Factor -a**2 - 7*a - 10.
-(a + 2)*(a + 5)
Determine u, given that -3*u**2 - 144*u - 141 = 0.
-47, -1
Factor 5*u**3 - 100*u**2.
5*u**2*(u - 20)
Factor -18*k**3 - 48*k**2 + 88*k - 32.
-2*(k + 4)*(3*k - 2)**2
Suppose -5*u**2 + 30*u - 40 = 0. Calculate u.
2, 4
Solve -81*h**5/2 - 495*h**4/4 - 323*h**3/4 + 31*h**2/2 + 11*h - 2 = 0.
-2, -1, -1/2, 2/9
Find y such that 11*y**2 + 3214*y + 584 = 0.
-292, -2/11
Factor z**3/7 + 2*z**2/7 - 41*z/7 - 6.
(z - 6)*(z + 1)*(z + 7)/7
Factor 7236*l**2/7 - 7234*l/7 - 2/7.
2*(l - 1)*(3618*l + 1)/7
Suppose 5*z**2 - 240*z + 2880 = 0. Calculate z.
24
Solve 2*j**2 + 86*j - 88 = 0.
-44, 1
Find p such that -980*p**2/3 - 968*p/3 + 4 = 0.
-1, 3/245
Solve 4*s**4 - 144*s**3 + 1848*s**2 - 9680*s + 15972 = 0 for s.
3, 11
Factor r**5 + 3*r**4 - r**3 - 3*r**2.
r**2*(r - 1)*(r + 1)*(r + 3)
Factor -5*a**4 + 30*a**3 - 40*a**2.
-5*a**2*(a - 4)*(a - 2)
Suppose 3*a**3 - 60*a**2 + 111*a - 54 = 0. What is a?
1, 18
Solve w**5/5 - 7*w**4/5 + 13*w**3/5 - w**2/5 - 14*w/5 + 8/5 = 0.
-1, 1, 2, 4
Factor 3*w**2 + 99*w - 102.
3*(w - 1)*(w + 34)
Suppose -5*k**5 - 15*k**4 + 15*k**3 + 35*k**2 - 30*k = 0. Calculate k.
-3, -2, 0, 1
Find o, given that 2*o**2 - 448*o = 0.
0, 224
Factor -t**2 - 13*t.
-t*(t + 13)
Factor 2*r**5/9 + 194*r**4/3 + 18818*r**3/3 + 1825346*r**2/9.
2*r**2*(r + 97)**3/9
Factor 25*p**5 - 880*p**4 + 10084*p**3 - 34704*p**2 - 32832*p - 6912.
(p - 12)**3*(5*p + 2)**2
Let 2*a**2 + 116*a + 624 = 0. What is a?
-52, -6
Factor 8*j**2/9 + 45878*j/9 - 11470/9.
2*(j + 5735)*(4*j - 1)/9
Factor 5*o**4/4 - 3*o**3 - 9*o**2/4.
o**2*(o - 3)*(5*o + 3)/4
Factor -2*g**3/13 + 64*g**2/13 - 616*g/13 + 1568/13.
-2*(g - 14)**2*(g - 4)/13
Determine n, given that 2*n**5/5 - 7*n**4 - 237*n**3/5 - 367*n**2/5 - 29*n/5 + 138/5 = 0.
-3, -2, -1, 1/2, 23
Determine i so that i**2/6 - 15*i + 675/2 = 0.
45
Determine q so that -3*q**4 + 936*q**3 - 73008*q**2 = 0.
0, 156
Determine j, given that 3*j**2 - 1401*j - 2814 = 0.
-2, 469
Factor -5*c**3 - 35*c**2 - 60*c.
-5*c*(c + 3)*(c + 4)
Let -2*f**4 - 40*f**3 - 136*f**2 - 128*f = 0. What is f?
-16, -2, 0
Factor -4*d**3 - 2068*d**2 + 4148*d - 2076.
-4*(d - 1)**2*(d + 519)
Factor 6*s**4/11 + 36*s**3/11 + 78*s**2/11 + 72*s/11 + 24/11.
6*(s + 1)**2*(s + 2)**2/11
Factor -5*m**3 + 825*m**2 - 34440*m + 33620.
-5*(m - 82)**2*(m - 1)
Factor -3*m**3 + 33*m**2 - 96*m + 84.
-3*(m - 7)*(m - 2)**2
Solve m**2/3 - 1075*m + 6446/3 = 0 for m.
2, 3223
What is h in -h**4/2 - 7*h**3 + 31*h**2/2 - 8*h = 0?
-16, 0, 1
Determine v so that -4*v**3 - 700*v**2 + 4*v + 700 = 0.
-175, -1, 1
What is x in -x**4/2 + 3*x**2/2 + x = 0?
-1, 0, 2
Factor 3*y**2 - 42*y.
3*y*(y - 14)
Factor 2*k**2/7 + 62*k/7.
2*k*(k + 31)/7
What is s in 5*s**2 - 60*s + 135 = 0?
3, 9
Let -80*v**2 + 5408*v - 540 = 0. What is v?
1/10, 135/2
Factor v**3 + 12*v**2 + 32*v.
v*(v + 4)*(v + 8)
Let 2*d**2/7 + 10*d/7 + 12/7 = 0. Calculate d.
-3, -2
Let -390*y**2 + 389*y + 1 = 0. Calculate y.
-1/390, 1
Factor 59*f**2/4 + 29*f - 1.
(f + 2)*(59*f - 2)/4
Factor 3*t**3/2 + 27*t**2/2 + 45*t/2 + 21/2.
3*(t + 1)**2*(t + 7)/2
Find k, given that -2*k**4/3 + 26*k**3/3 - 38*k**2 + 190*k/3 - 100/3 = 0.
1, 2, 5
Let -4*y**5 + 20*y**4 - 4*y**3 - 68*y**2 + 88*y - 32 = 0. Calculate y.
-2, 1, 4
What is t in -2*t**2/7 + 128*t/7 - 248/7 = 0?
2, 62
Suppose 3*v**5 + 4*v**4 - 32*v**3 - 38*v**2 + 45*v + 18 = 0. What is v?
-3, -2, -1/3, 1, 3
Factor -3*k**2/7 + 201*k/7 + 414/7.
-3*(k - 69)*(k + 2)/7
Factor 2*n**2/9 + 1102*n/9 - 1108/3.
2*(n - 3)*(n + 554)/9
Determine b so that 4*b**2 + 20*b - 56 = 0.
-7, 2
Factor 3*u**2/5 + 339*u/5.
3*u*(u + 113)/5
Find j, given that 33*j**2 - 108*j + 27 = 0.
3/11, 3
Solve 3*h**5/5 - 6*h**4/5 - 6*h**3/5 + 12*h**2/5 + 3*h/5 - 6/5 = 0 for h.
-1, 1, 2
Factor -2*d**2/3 - 4*d/3 + 10.
-2*(d - 3)*(d + 5)/3
Factor -3*h**2 - 39*h.
-3*h*(h + 13)
Determine s, given that s**3 - 140*s**2 - 283*s - 142 = 0.
-1, 142
Factor -65*l**3 + 1160*l**2 - 925*l - 170.
-5*(l - 17)*(l - 1)*(13*l + 2)
Find k such that -2*k**2/7 + 440*k/7 - 24200/7 = 0.
110
Suppose 1000*n**5 - 550*n**4 - 2765*n**3 - 70*n**2 + 955*n - 190 = 0. Calculate n.
-1, 1/4, 2/5, 19/10
Suppose -3*u**4 + 522*u**3 - 22704*u**2 - 522*u + 22707 = 0. Calculate u.
-1, 1, 87
Factor i**3/4 - 17*i**2/2 + 93*i/4.
i*(i - 31)*(i - 3)/4
Let 180*v**5 - 908*v**4 - 3020*v**3 + 3916*v**2 - 168*v = 0. What is v?
-3, 0, 2/45, 1, 7
Factor -4*x**3 - 56*x**2.
-4*x**2*(x + 14)
Determine l so that 2*l**3/21 - 50*l/21 = 0.
-5, 0, 5
Let -3*j**4 - 21*j**3 - 42*j**2 - 24*j = 0. Calculate j.
-4, -2, -1, 0
Factor 6*i**4 + 195*i**3/7 + 153*i**2/7.
3*i**2*(i + 1)*(14*i + 51)/7
Let 4*r**4/9 + 236*r**3/9 - 4*r**2/9 - 236*r/9 = 0. What is r?
-59, -1, 0, 1
Factor -4*p**5/3 + 184*p**4 - 4256*p**3/3 + 12608*p**2/3 - 5568*p + 8320/3.
-4*(p - 130)*(p - 2)**4/3
Determine v, given that 2*v**2/5 - 20*v - 672/5 = 0.
-6, 56
Factor -2*t**4/5 - 304*t**3/5 - 17328*t**2/5 - 438976*t/5 - 4170272/5.
-2*(t + 38)**4/5
Factor -4*g**2 + 28*g + 176.
-4*(g - 11)*(g + 4)
Let -5*j**4 - 1090*j**3 - 59405*j**2 = 0. Calculate j.
-109, 0
Determine u, given that 4*u**5/9 - 32*u**4/9 + 4*u**3/3 + 224*u**2/9 - 16*u/9 - 64/3 = 0.
-2, -1, 1, 4, 6
Determine l, given that -2*l**3 - 12*l**2 - 24*l - 16 = 0.
-2
Find n, given that -n**5/4 - 2*n**4 + 9*n**3/4 + 18*n**2 = 0.
-8, -3, 0, 3
Suppose 361*i**3/2 + 1159*i**2/2 + 116*i + 6 = 0. What is i?
-3, -2/19
Solve 2*q**4 - 10*q**3 + 40*q - 32 = 0.
-2, 1, 2, 4
Solve -4*p**2/5 - 132*p/5 + 136/5 = 0 for p.
-34, 1
Factor -2*f**2 + 770*f.
-2*f*(f - 385)
Factor -2*k**3 - 2307*k**2/2 - 166752*k - 124416.
-(k + 288)**2*(4*k + 3)/2
Factor f**3/2 + 80*f**2 + 6237*f/2 - 6561.
(f - 2)*(f + 81)**2/2
Find h such that -h**3/5 - 9*h**2/5 + 22*h/5 = 0.
-11, 0, 2
Factor 80*f**2 + 1036*f - 52.
4*(f + 13)*(20*f - 1)
Solve 2*g**5 - 3662*g**4 + 2236260*g**3 - 456194600*g**2 + 453962000*g = 0 for g.
0, 1, 610
Find f such that 3*f**5/4 + 291*f**4/2 + 14685*f**3/2 + 27789*f**2 + 136515*f/4 + 27075/2 = 0.
-95, -2, -1
Factor -z**3/2 - 39*z**2/2 - 75*z/2 - 37/2.
-(z + 1)**2*(z + 37)/2
Solve -10*d**2/3 - 5*d/6 + 5/2 = 0.
-1, 3/4
Factor -294*n**5 - 873*n**4 - 855*n**3 - 267*n**2 + 9*n.
-3*n*(n + 1)**3*(98*n - 3)
Suppose -4*r**2 + 8*r + 12 = 0. What is r?
-1, 3
Factor -10*z**3/3 - 6*z**2 + 64*z - 232/3.
-2*(z - 2)**2*(5*z + 29)/3
Factor 5*j**2/9 - 1382*j/9 + 184/3.
(j - 276)*(5*j - 2)/9
Determine d so that d**4 - 14*d**3 + 24*d**2 + 94*d + 55 = 0.
-1, 5, 11
Solve 320*b**5/3 - 7328*b**4/3 - 940*b**3/3 + 4768*b**2/3 - 1756*b/3 + 184/3 = 0 for b.
-1, 1/4, 2/5, 23
Factor -i**3 + 7*i**2 - 14*i + 8.
-(i - 4)*(i - 2)*(i - 1)
Find v, given that -v**2/6 + 488*v/3 - 119072/3 = 0.
488
Let 4*u**4 - 2452*u**3/5 - 11064*u**2/5 - 14192*u/5 - 4064/5 = 0. What is u?
-2, -2/5, 127
Determine r, given that -4*r**4 - 16*r**3 - 24*r**2 - 16*r - 4 = 0.
-1
Factor 3*i**3/5 + 51*i**2 - 1104*i/5 - 3204/5.
3*(i - 6)*(i + 2)*(i + 89)/5
Solve -3*z**2/5 - 33*z/5 - 84/5 = 0.
-7, -4
Factor h**3/4 - 93*h**2/4 + 183*h/4 - 91/4.
(h - 91)*(h - 1)**2/4
Factor 2*h**2/9 + 24*h + 648.
2*(h + 54)**2/9
Suppose q**3/8 + 7*q**2/8 + 11*q/8 + 5/8 = 0. What is q?
-5, -1
Factor -k**5/3 - 4*k**4/3 + 2*k**3 + 16*k**2/3 - 2