q**5/9 - 8*q**4 + 128*q**3/3 - 736*q**2/9 + 160*q/3.
2*q*(q - 30)*(q - 2)**3/9
Solve -2*o**5/17 - 178*o**4/17 - 5148*o**3/17 - 44668*o**2/17 + 6206*o - 55506/17 = 0.
-33, -29, 1
Factor 3*x**2/5 + 36*x/5 + 21.
3*(x + 5)*(x + 7)/5
Factor 3*y**2/5 + 798*y/5 + 53067/5.
3*(y + 133)**2/5
Factor -4*y**5 + 120*y**4 - 1200*y**3 + 4000*y**2.
-4*y**2*(y - 10)**3
Determine x so that -x**3/4 + 115*x**2/4 - 868*x + 2352 = 0.
3, 56
Factor -z**2/2 + 476*z - 113288.
-(z - 476)**2/2
Solve -2*u**5 - 34*u**4 - 60*u**3 + 4*u**2 + 62*u + 30 = 0 for u.
-15, -1, 1
Factor -p**4/4 + 29*p**3 - 2223*p**2/2 + 13689*p + 59319/4.
-(p - 39)**3*(p + 1)/4
Suppose 4*m**4 - 96*m**3 + 372*m**2 + 1048*m + 576 = 0. Calculate m.
-1, 8, 18
Determine w so that -3*w**4 + 978*w**2 - 1944*w + 969 = 0.
-19, 1, 17
Determine g so that g**5 - 3*g**4 - 4*g**3 = 0.
-1, 0, 4
Determine g, given that -4*g**2/7 - 104*g/7 - 276/7 = 0.
-23, -3
Find y such that 3*y**2 + 87*y + 300 = 0.
-25, -4
What is f in -2*f**5/3 + 22*f**4/3 - 20*f**3 = 0?
0, 5, 6
Factor -2*y**3/15 + 28*y**2/3 - 134*y/15 - 92/5.
-2*(y - 69)*(y - 2)*(y + 1)/15
Factor -2*a**2/7 + 488*a/7 - 29768/7.
-2*(a - 122)**2/7
Factor -5*x**2 + 5*x + 150.
-5*(x - 6)*(x + 5)
Factor 2*i**4/11 - 196*i**3/11 + 2064*i**2/11.
2*i**2*(i - 86)*(i - 12)/11
Factor 2*v**5/21 + 6*v**4/7 - 20*v**3/21.
2*v**3*(v - 1)*(v + 10)/21
Factor -s**4/12 + 97*s**3/12 - 191*s**2/12 + 95*s/12.
-s*(s - 95)*(s - 1)**2/12
Determine r so that -2*r**4 + 6*r**3 + 8*r**2 - 24*r = 0.
-2, 0, 2, 3
Find k such that -2*k**4/7 + 2*k**3 - 6*k**2/7 - 62*k/7 - 40/7 = 0.
-1, 4, 5
Let 5*a**4 + 20*a**3 - 95*a**2 - 230*a + 600 = 0. What is a?
-5, -4, 2, 3
Suppose -p**5/3 + p**4/3 + p**3/3 - p**2/3 = 0. What is p?
-1, 0, 1
Factor -10*o**2/7 - 1366*o/7 + 548/7.
-2*(o + 137)*(5*o - 2)/7
Factor 5*n**2 + 410*n + 8405.
5*(n + 41)**2
Factor -2*a**3/3 + 4210*a**2/3 - 737802*a - 739206.
-2*(a - 1053)**2*(a + 1)/3
What is t in -26*t**3/7 - 304*t**2/7 - 120*t + 288/7 = 0?
-6, 4/13
Factor -w**3/3 + 968*w**2/3 - 234256*w/3.
-w*(w - 484)**2/3
Factor -2*u**3/3 - 2*u**2 + 52*u + 160/3.
-2*(u - 8)*(u + 1)*(u + 10)/3
Factor 5*z**4/2 - 6*z**3 - 9*z**2 + 10*z + 21/2.
(z - 3)*(z + 1)**2*(5*z - 7)/2
Let -2*l**5/7 + 24*l**4/7 + 290*l**3/7 + 88*l**2 - 288*l/7 - 640/7 = 0. Calculate l.
-4, -1, 1, 20
Suppose -y**3/3 + 8*y**2/3 = 0. What is y?
0, 8
What is c in 7*c**3/6 + 71*c**2/6 + 185*c/6 + 25/6 = 0?
-5, -1/7
Determine s so that -2*s**5/9 + 32*s**4/9 + 110*s**3/9 + 76*s**2/9 = 0.
-2, -1, 0, 19
Find s such that -s**3/6 + s**2/2 = 0.
0, 3
Let c**2/3 - 102*c + 7803 = 0. What is c?
153
Factor -c**4/4 + 19*c**3/4 + 3*c**2/4 - 423*c/4 + 405/2.
-(c - 18)*(c - 3)**2*(c + 5)/4
Factor -4*v**3 + 288*v**2 - 4884*v - 10952.
-4*(v - 37)**2*(v + 2)
Find r such that -4*r**4 + 1968*r**3 - 363096*r**2 + 29773872*r - 915546564 = 0.
123
Factor 2*y**4 - 8*y**3 - 14*y**2 + 20*y.
2*y*(y - 5)*(y - 1)*(y + 2)
Suppose -3*t**3 - 21*t**2 + 210*t - 312 = 0. Calculate t.
-13, 2, 4
Factor q**3 - 3*q - 2.
(q - 2)*(q + 1)**2
Let 2*p**4 + 16*p**3 + 10*p**2 - 100*p = 0. Calculate p.
-5, 0, 2
Factor 3*u**4 - 72*u**3 + 351*u**2 + 1014*u.
3*u*(u - 13)**2*(u + 2)
Suppose -r**3 + 131*r**2 + 132*r = 0. What is r?
-1, 0, 132
Solve -v**4/8 - 9*v**3/2 - 141*v**2/4 + 209*v/2 + 1083/8 = 0 for v.
-19, -1, 3
Determine g so that 2*g**3 - 96*g**2 + 574*g = 0.
0, 7, 41
Find a such that -2*a**4 + 54*a**2 + 28*a - 240 = 0.
-4, -3, 2, 5
Factor 1124*i**2 - 1212*i + 88.
4*(i - 1)*(281*i - 22)
What is d in -d**5/2 + 6*d**4 - 19*d**3 + 6*d**2 + 63*d/2 = 0?
-1, 0, 3, 7
Suppose 4*w**5 - 15*w**4 - 28*w**3 + 10*w**2 + 24*w + 5 = 0. Calculate w.
-1, -1/4, 1, 5
Suppose 2*x**4/11 + 6*x**3 + 394*x**2/11 + 798*x/11 + 468/11 = 0. What is x?
-26, -3, -1
Find d, given that -5*d**4 + 40*d**3 = 0.
0, 8
Factor -n**4/2 + 5*n**3/2 + 24*n**2 - 184*n + 320.
-(n - 5)*(n - 4)**2*(n + 8)/2
Solve -55*o**4 - 1400*o**3 + 2265*o**2 - 810*o = 0.
-27, 0, 6/11, 1
Let f**2/5 + 34*f/5 - 111/5 = 0. Calculate f.
-37, 3
Find u, given that -2*u**4/9 - 692*u**3/9 - 20182*u**2/3 - 119024*u/9 - 59168/9 = 0.
-172, -1
Determine n so that 108*n**5/5 + 135*n**4 - 669*n**3/5 - 633*n**2/5 + 561*n/5 - 42/5 = 0.
-7, -1, 1/12, 2/3, 1
Factor -4*j**3 - 60*j**2 - 176*j + 240.
-4*(j - 1)*(j + 6)*(j + 10)
Factor 3*w**3 + 198*w**2 + 387*w - 110940.
3*(w - 20)*(w + 43)**2
Find z, given that -z**2/5 + 87*z - 866/5 = 0.
2, 433
Suppose -5*d**3 + 930*d**2 - 57660*d + 1191640 = 0. What is d?
62
Determine n, given that 2*n**2 + 62*n - 64 = 0.
-32, 1
Factor 2*k**5/11 + 6*k**4/11 + 4*k**3/11.
2*k**3*(k + 1)*(k + 2)/11
Factor 154*h**2 - 500*h - 96.
2*(7*h - 24)*(11*h + 2)
Determine j so that 2*j**2/5 - 28*j/5 - 6 = 0.
-1, 15
Factor -2*j**3/3 - 70*j**2/3 + 1946*j/3 + 2014/3.
-2*(j - 19)*(j + 1)*(j + 53)/3
Factor 3*z**3 + 15*z**2.
3*z**2*(z + 5)
Factor 10*m**3 - 15*m**2 + 5.
5*(m - 1)**2*(2*m + 1)
Suppose 147*z**4 - 61236*z**3 + 95961*z**2 - 39852*z + 4980 = 0. What is z?
2/7, 1, 415
Factor -5*n**3/2 + 65*n**2/6 - 5*n/3 - 20/3.
-5*(n - 4)*(n - 1)*(3*n + 2)/6
Solve j**3 - 5*j**2 - j + 5 = 0.
-1, 1, 5
Factor w**3 - 4*w**2 - 4*w + 16.
(w - 4)*(w - 2)*(w + 2)
Solve q**4/3 + 2*q**3 + 8*q**2/3 - 2*q - 3 = 0.
-3, -1, 1
Factor 4*t**3/5 + 44*t**2/5.
4*t**2*(t + 11)/5
What is r in -3*r**4/7 + 3*r**3 + 15*r**2/7 - 225*r/7 = 0?
-3, 0, 5
Let -2*c**5/3 + 8*c**4/3 + 46*c**3 - 152*c**2/3 - 280*c/3 = 0. Calculate c.
-7, -1, 0, 2, 10
Suppose -l**3/8 - 9*l**2/2 - 189*l/8 - 135/4 = 0. What is l?
-30, -3
Determine i, given that 16*i**2 + 2020*i + 504 = 0.
-126, -1/4
Factor -4*u**2/5 + 152*u/5 + 64.
-4*(u - 40)*(u + 2)/5
Suppose -3*y**4 - 9*y**3 - 9*y**2 - 3*y = 0. Calculate y.
-1, 0
Factor 2*i**3/5 + 364*i**2/5 + 16192*i/5 - 33856/5.
2*(i - 2)*(i + 92)**2/5
Factor -3*r**2/8 - 141*r/4 + 285/8.
-3*(r - 1)*(r + 95)/8
Solve 20*h**5 - 2245*h**4 + 61000*h**3 + 112570*h**2 + 33060*h - 16245 = 0 for h.
-1, 1/4, 57
Factor -f**2/4 - 566*f - 320356.
-(f + 1132)**2/4
Factor c**2 - 85*c - 86.
(c - 86)*(c + 1)
Let -g**2/8 - 923*g/8 = 0. What is g?
-923, 0
Factor 2*y**2 - 314*y/5 + 124/5.
2*(y - 31)*(5*y - 2)/5
Find d such that 2*d**5/17 - 14*d**4/17 - 148*d**3/17 - 116*d**2/17 + 146*d/17 + 130/17 = 0.
-5, -1, 1, 13
Find p such that -5*p**3/2 + 37*p**2/2 - 32*p + 10 = 0.
2/5, 2, 5
Solve 4*l**3/7 + 2*l**2 - 34*l/7 - 20/7 = 0.
-5, -1/2, 2
Factor 2*w**4/7 + 500*w**3/7 + 31746*w**2/7 + 62000*w/7 + 30752/7.
2*(w + 1)**2*(w + 124)**2/7
Find b, given that 2*b**5/13 + 20*b**4/13 + 6*b**3 + 148*b**2/13 + 136*b/13 + 48/13 = 0.
-3, -2, -1
Let -i**2 + 107*i + 444 = 0. Calculate i.
-4, 111
Let x**4/6 + 53*x**3/3 + 35*x**2/2 = 0. What is x?
-105, -1, 0
Factor 3*p**3/7 + 45*p**2/7 + 144*p/7 + 132/7.
3*(p + 2)**2*(p + 11)/7
Solve 2*y**4/7 + 6*y**3/7 - 20*y**2/7 = 0 for y.
-5, 0, 2
Factor -50*j**2 + 304*j - 24.
-2*(j - 6)*(25*j - 2)
Determine s, given that s**4/4 - 13*s**3/4 - 4*s**2 + 7*s = 0.
-2, 0, 1, 14
Find w, given that 2*w**5 + 40*w**4 + 284*w**3 + 856*w**2 + 1010*w + 400 = 0.
-8, -5, -1
Suppose 4*b**5/5 - 16*b**4/5 - 12*b**3/5 + 72*b**2/5 = 0. Calculate b.
-2, 0, 3
What is b in 4*b**2 - 1248*b - 2512 = 0?
-2, 314
Factor -9*q**3 + 93*q**2 - 30*q.
-3*q*(q - 10)*(3*q - 1)
Factor h**3/4 + 18*h**2 + 1653*h/4 + 5887/2.
(h + 14)*(h + 29)**2/4
Factor 4*f**3/9 + 28*f**2/9 + 16*f/9 - 16/3.
4*(f - 1)*(f + 2)*(f + 6)/9
What is v in 2*v**3 + 10*v**2 - 28*v = 0?
-7, 0, 2
Factor 4*f**5 + 4*f**4 - 20*f**3 - 4*f**2 + 32*f - 16.
4*(f - 1)**3*(f + 2)**2
Solve -c**3 + 13*c - 12 = 0.
-4, 1, 3
Factor -4*y**4 + 36*y**3 + 384*y**2 - 2480*y - 9600.
-4*(y - 10)**2*(y + 3)*(y + 8)
Factor -n**2/8 - 33*n/4 - 58.
-(n + 8)*(n + 58)/8
Let 4*m**3 + 88*m**2 + 156*m - 1368 = 0. Calculate m.
-19, -6, 3
Factor -3*d**4 - 30*d**3 - 27*d**2.
-3*d**2*(d + 1)*(d + 9)
Determine m so that 4*m**2 + 224*m + 1692 = 0.
-47, -9
Let 2*j**2/9 - 10*j/9 - 28/9 = 0. What is j?
-2, 7
Determine f so that -f**4/4 + 11*f**3/2 - 45*f**2 + 325*f/2 - 875/4 = 0.
5, 7
Factor r**2 + 12*r + 35.
(r + 5)*(r + 7)
Factor -350*w**2 + 40*w - 8/7.
-2*(35*w - 2)**2/7
Let -2*l**5 - 172*l**4 - 826*l**3 - 1304*l**2 - 648*l = 0. What is l?
-81, -2, -1, 0
Factor 4*v**3 + 1872*v**2 + 219024*v.
4*v*(v + 234)**2
Factor -2*q**3/7 - 110*q**2/7 - 208*q + 224.
-2*(q - 1)*(q + 28)**2/7
Factor 5*v**4 - 15*v**3 - 50*v**2 + 120*v.
5*v*(v - 4)*(v - 2)*(v + 3)
S