olve -2*s**2/7 + 3790*s/7 = 0 for s.
0, 1895
Factor 3*x**5 + 132*x**4 - 1044*x**3 + 1458*x**2 + 3969*x - 8262.
3*(x - 3)**3*(x + 2)*(x + 51)
Factor 2*r**2/3 - 12*r - 38/3.
2*(r - 19)*(r + 1)/3
Solve 5*u**3 + 40*u**2 - 4400*u - 64000 = 0 for u.
-20, 32
Factor 2*r**3/5 + 6354*r**2/5 - 6356*r/5.
2*r*(r - 1)*(r + 3178)/5
Solve -21*i**5 - 207*i**4 + 261*i**3 - 33*i**2 = 0.
-11, 0, 1/7, 1
What is b in -4*b**2/5 + 208*b/5 + 212/5 = 0?
-1, 53
Solve -2*m**4/15 + 8*m**3/15 - 2*m**2/15 - 4*m/5 = 0.
-1, 0, 2, 3
Factor 4*a**2/7 - 4*a - 72/7.
4*(a - 9)*(a + 2)/7
Find g, given that -g**4 + 5*g**3 - 6*g**2 - 4*g + 8 = 0.
-1, 2
Find r, given that -r**2/5 - 50*r - 496/5 = 0.
-248, -2
Find l such that 2*l**3 - 94*l**2 + 1232*l - 2904 = 0.
3, 22
Solve q**3 - 4*q**2 - 19*q - 14 = 0 for q.
-2, -1, 7
Factor 121*t**3 - 38159*t**2 + 13864*t - 1260.
(t - 315)*(11*t - 2)**2
Factor 4*d**4 + 4*d**3 - 40*d**2 + 32*d.
4*d*(d - 2)*(d - 1)*(d + 4)
Factor -2*c**3/5 - 46*c**2/5 - 62*c - 130.
-2*(c + 5)**2*(c + 13)/5
Factor -5*y**2 - 360*y - 355.
-5*(y + 1)*(y + 71)
Let 27*k**4 + 546*k**3 + 12*k**2 - 2184*k - 480 = 0. What is k?
-20, -2, -2/9, 2
Factor 6*m**2 + 38*m + 40.
2*(m + 5)*(3*m + 4)
Factor 8*h**4/17 + 46*h**3/17 + 84*h**2/17 + 40*h/17 - 16/17.
2*(h + 2)**3*(4*h - 1)/17
Determine k, given that -k**5/2 - 7*k**4/2 + 22*k**3 - 8*k**2 - 80*k + 88 = 0.
-11, -2, 2
Factor f**2 + 508*f + 64516.
(f + 254)**2
Let -n**2/3 - 269*n + 808/3 = 0. What is n?
-808, 1
What is k in 28*k**5/3 - 22*k**4/3 - 136*k**3/3 + 40*k**2/3 = 0?
-2, 0, 2/7, 5/2
Find y, given that -2*y**2 - 142*y - 780 = 0.
-65, -6
Determine a so that -4*a**3/3 - 35*a**2/3 - 52*a/3 - 7 = 0.
-7, -1, -3/4
Factor -r**3/5 - 19*r**2/5 + 14*r + 88/5.
-(r - 4)*(r + 1)*(r + 22)/5
What is w in -2*w**3/15 - 618*w**2 - 954810*w - 491727150 = 0?
-1545
Suppose 3*m**3/8 - 69*m**2/2 + 543*m/8 - 135/4 = 0. Calculate m.
1, 90
Let -5*t**4/2 + 65*t**3/2 - 110*t**2 + 80*t = 0. Calculate t.
0, 1, 4, 8
Factor 4*q**2/11 + 26*q/11 - 48/11.
2*(q + 8)*(2*q - 3)/11
Suppose 2*g**4 + 314*g**3 + 1232*g**2 + 1224*g = 0. What is g?
-153, -2, 0
Factor 6*i**2/5 + 222*i/5 + 192.
6*(i + 5)*(i + 32)/5
Factor 14*n**3 - 151*n**2 + 231*n - 54.
(n - 9)*(2*n - 3)*(7*n - 2)
Suppose 2*h**2 + 2316*h + 670482 = 0. What is h?
-579
Let 8*b**4 + 878*b**3 + 1484*b**2 - 3018*b + 648 = 0. Calculate b.
-108, -3, 1/4, 1
Let -u**2/5 - 3*u + 76/5 = 0. What is u?
-19, 4
Determine w, given that 4*w**4/3 - 32*w**3/3 - 832*w**2 + 10240*w/3 + 409600/3 = 0.
-16, 20
Let 9*a**2/4 - a = 0. What is a?
0, 4/9
What is u in 2*u**5/3 + 64*u**4/3 + 102*u**3 - 196*u**2/3 - 1064*u/3 - 208 = 0?
-26, -6, -1, 2
What is u in 4*u**3 + 356*u**2 + 8096*u + 7744 = 0?
-44, -1
Let -f**4 + 1525*f**3 - 775716*f**2 + 131870704*f - 131096512 = 0. What is f?
1, 508
Suppose 5618*a**4 + 22260*a**3 + 21626*a**2 - 840*a + 8 = 0. Calculate a.
-2, 1/53
Find h such that -4*h**5 - 7*h**4 + 6*h**3 + 7*h**2 - 2*h = 0.
-2, -1, 0, 1/4, 1
Let 5*y**2 - 1640*y + 134480 = 0. Calculate y.
164
Suppose 50*s**4/7 + 590*s**3/7 - 1062*s**2/7 + 22*s + 268/7 = 0. What is s?
-67/5, -2/5, 1
Suppose -p**2/4 - 87*p/4 + 22 = 0. Calculate p.
-88, 1
Solve -14*z**3 + 158*z**2 - 184*z + 40 = 0.
2/7, 1, 10
Factor -2*y**3/13 - 4*y**2/13 + 128*y/13 - 320/13.
-2*(y - 4)**2*(y + 10)/13
Determine i, given that -i**3/3 + 8*i**2/3 - 13*i/3 + 2 = 0.
1, 6
Find y such that -y**2/2 - 231*y + 1880 = 0.
-470, 8
Factor h**5/2 - 4*h**4 + h**3 + 16*h**2 + 21*h/2.
h*(h - 7)*(h - 3)*(h + 1)**2/2
Factor -5*i**4 - 70*i**3 + 5*i**2 + 70*i.
-5*i*(i - 1)*(i + 1)*(i + 14)
Suppose g**2/5 - 128*g/5 - 52 = 0. What is g?
-2, 130
Factor a**5/6 + 55*a**4/6 + 835*a**3/6 + 2185*a**2/6 + 1040*a/3 + 338/3.
(a + 1)**3*(a + 26)**2/6
Determine q so that -14*q**5 + 170*q**4/3 - 172*q**3/3 - 8*q**2/3 + 16*q/3 = 0.
-2/7, 0, 1/3, 2
Suppose 5*n**2/4 + 5*n/4 - 15/2 = 0. Calculate n.
-3, 2
Factor -k**2/8 - 31*k/4 - 961/8.
-(k + 31)**2/8
Find w, given that -2*w**4/5 + 32*w**3/5 = 0.
0, 16
Let 4*u**2 + 40*u + 64 = 0. What is u?
-8, -2
Factor d**2/5 - 128*d/5 + 4096/5.
(d - 64)**2/5
Solve -5*u**2 + 10*u + 495 = 0.
-9, 11
Factor -10*o**3 - 3324*o**2 - 1328*o.
-2*o*(o + 332)*(5*o + 2)
Find c such that c**3 + 910*c**2 + 207025*c = 0.
-455, 0
Factor -2*c**3/3 + 14*c + 40/3.
-2*(c - 5)*(c + 1)*(c + 4)/3
Determine c, given that -3*c**4 - 19*c**3 + 38*c**2 - 16*c = 0.
-8, 0, 2/3, 1
Solve -3698*p**2/13 + 344*p/13 - 8/13 = 0.
2/43
Let 2*w**5 - 26*w**4 + 42*w**3 + 26*w**2 - 44*w = 0. What is w?
-1, 0, 1, 2, 11
Solve r**2/8 + 2213*r/4 + 4897369/8 = 0.
-2213
Factor 26*h**2/5 + 72*h/5 + 8.
2*(h + 2)*(13*h + 10)/5
Factor -4*t**3 + 148*t**2 - 540*t + 396.
-4*(t - 33)*(t - 3)*(t - 1)
Factor 2*z**3/3 + 86*z**2/3 + 244*z - 1008.
2*(z - 3)*(z + 18)*(z + 28)/3
Find o such that 5*o**3 + 45*o**2 = 0.
-9, 0
Suppose 21*g**5/4 - 27*g**4/4 - 141*g**3/4 + 63*g**2/4 + 30*g - 9 = 0. What is g?
-2, -1, 2/7, 1, 3
Suppose 3*x**2/5 - 203*x/5 + 134/5 = 0. What is x?
2/3, 67
Determine o, given that 3*o**3 - 3558*o**2 + 7107*o - 3552 = 0.
1, 1184
Factor 3*r**2 + 5376*r + 10740.
3*(r + 2)*(r + 1790)
Let v**2 - 23*v - 624 = 0. Calculate v.
-16, 39
Factor 2*r**5 - 150*r**4 + 2580*r**3 + 8660*r**2 + 8970*r + 3042.
2*(r - 39)**2*(r + 1)**3
Factor -4*a**4 - 17956*a**3 - 26874144*a**2 - 13419143936*a - 13392287744.
-4*(a + 1)*(a + 1496)**3
Factor 3*o**3 - 65*o**2 - 875*o - 2375.
(o + 5)**2*(3*o - 95)
What is v in 4*v**3 - 104*v**2 + 836*v - 1936 = 0?
4, 11
Factor -h**4/6 - h**3/2 + 3*h**2/2 - 5*h/6.
-h*(h - 1)**2*(h + 5)/6
Factor -5*a**3/3 + 20*a**2/3 + 1045*a/3 + 340.
-5*(a - 17)*(a + 1)*(a + 12)/3
What is j in -4*j**5 - 12*j**4 + 72*j**3 = 0?
-6, 0, 3
Let -2*w**5/7 + 10*w**4 - 544*w**3/7 - 1840*w**2/7 + 11808*w/7 - 12960/7 = 0. Calculate w.
-5, 2, 18
Factor -g**3 + 72*g**2 + 300*g + 304.
-(g - 76)*(g + 2)**2
Find u, given that -5*u**4 - 50*u**3 + 15*u**2 + 700*u - 980 = 0.
-7, 2
Find n, given that 3*n**4/4 + 9*n**3/4 - 27*n**2/4 - 69*n/4 - 9 = 0.
-4, -1, 3
Determine h so that -18*h**5 + 3*h**4 + 21*h**3 - 3*h**2 - 3*h = 0.
-1, -1/3, 0, 1/2, 1
Let 18*g**2 + 7017*g - 1170 = 0. What is g?
-390, 1/6
Let 14*q**4 - 116*q**3 + 186*q**2 + 236*q - 80 = 0. What is q?
-1, 2/7, 4, 5
Let -4*q**2/5 - 8*q = 0. Calculate q.
-10, 0
Factor b**2/2 - 43*b/2.
b*(b - 43)/2
Suppose 2*y**2/11 + 60*y/11 + 58/11 = 0. What is y?
-29, -1
Factor 2*q**3/5 - 8*q**2/5 - 38*q/5 - 28/5.
2*(q - 7)*(q + 1)*(q + 2)/5
Let 2*x**2/9 + 568*x/9 + 40328/9 = 0. What is x?
-142
Factor v**4 - 47*v**3 + 218*v**2 - 340*v + 168.
(v - 42)*(v - 2)**2*(v - 1)
What is q in 3*q**2 - 3753*q + 3750 = 0?
1, 1250
Determine g, given that -3*g**3/2 - 27*g**2/2 - 3*g + 72 = 0.
-8, -3, 2
Solve 4*q**2/5 - 52*q/5 - 72 = 0.
-5, 18
Suppose 5780*u**2 + 1020*u + 45 = 0. Calculate u.
-3/34
Factor 3*f**3/2 + 135*f**2/2 + 2025*f/2 + 10125/2.
3*(f + 15)**3/2
Factor -5*m**3 + 15*m**2 + 5*m - 15.
-5*(m - 3)*(m - 1)*(m + 1)
Factor 2*y**2/3 + 1010*y/3.
2*y*(y + 505)/3
Factor -5*y**2 + 49250*y - 121278125.
-5*(y - 4925)**2
Suppose -5*z**4 - 60*z**3 - 225*z**2 - 290*z - 120 = 0. Calculate z.
-6, -4, -1
Let 2*f**4/9 - 4*f**3/9 - 2*f**2 + 4*f/9 + 16/9 = 0. What is f?
-2, -1, 1, 4
Determine d so that 2*d**2/7 - 2574*d/7 - 368 = 0.
-1, 1288
What is i in -i**4/4 - 119*i**3/4 - 175*i**2/2 - 58*i = 0?
-116, -2, -1, 0
Factor 3*d**3/5 - 234*d**2/5 + 1113*d/5 - 1314/5.
3*(d - 73)*(d - 3)*(d - 2)/5
Factor 2*g**3/11 + 48*g**2/11 - 2*g/11 - 48/11.
2*(g - 1)*(g + 1)*(g + 24)/11
Factor -3*h**2/7 + 2160*h/7 - 388800/7.
-3*(h - 360)**2/7
Solve 15*h**4 + 1206*h**3 - 7260*h**2 - 3096*h = 0.
-86, -2/5, 0, 6
Suppose -j**2/4 + 7*j/4 + 9/2 = 0. Calculate j.
-2, 9
Let -7*q**3/4 + 27*q**2/4 - 17*q/4 - 3/4 = 0. What is q?
-1/7, 1, 3
Solve 2*u**5/15 + 2*u**4/5 - 2*u**3/15 - 2*u**2/5 = 0 for u.
-3, -1, 0, 1
Find f such that f**5/2 + f**4 - 7*f**3/2 + 2*f**2 = 0.
-4, 0, 1
Find p, given that -p**3 - 134*p**2 + 2336*p - 9600 = 0.
-150, 8
Solve -1399205*o**2/4 + 2645*o/2 - 5/4 = 0 for o.
1/529
Solve -u**2 - 8*u + 20 = 0.
-10, 2
Factor -a**3/5 - 3*a**2/5 + 13*a/5 + 3.
-(a - 3)*(a + 1)*(a + 5)/5
Factor -5*y**3/4 - 93*y**2/4 - 88*y + 39.
-(y + 6)*(y + 13)*(5*y - 2)/4
Suppose -6*m**2/11 + 20*m/11 + 250/11 = 0. What is m?
-5, 25/3
Suppose 2*o**3/17 - 4*o**2/17 - 2*o/17 + 4/17 = 0. Calculate o.
-1, 1, 2
Factor -i**3/4 + 423*i**2/4 - 2