760 = 0.
-160, 1, 3
Find n, given that -2*n**3 - 302*n**2 - 2870*n - 7050 = 0.
-141, -5
Solve 4*g**2/5 + 48*g - 496/5 = 0 for g.
-62, 2
Determine s, given that -3*s**2 + 102*s + 105 = 0.
-1, 35
Factor 3*n**4/2 + 93*n**3/2 + 177*n**2/2 + 87*n/2.
3*n*(n + 1)**2*(n + 29)/2
Determine c, given that -2*c**3 + 28*c**2 + 64*c = 0.
-2, 0, 16
Find b such that b**2 - 104*b - 105 = 0.
-1, 105
Suppose -3*g**2 + 36*g - 81 = 0. What is g?
3, 9
Find f such that -f**4 + 157*f**3 - 5755*f**2 - 32157*f - 26244 = 0.
-4, -1, 81
Factor 3*o**2/7 + 45*o/7 + 78/7.
3*(o + 2)*(o + 13)/7
Factor -o**2/6 + 20*o/3 - 56.
-(o - 28)*(o - 12)/6
Factor 5*k**3 + 105*k**2 - 350*k + 240.
5*(k - 2)*(k - 1)*(k + 24)
Factor -s**5 + 20*s**4 + 219*s**3 + 190*s**2 - 1400*s.
-s*(s - 28)*(s - 2)*(s + 5)**2
Find s, given that -s**3/4 + 2*s**2 + s/4 - 2 = 0.
-1, 1, 8
Determine x, given that 69*x**2 - 270*x - 24 = 0.
-2/23, 4
Factor -2*f**2/15 + 6*f/5.
-2*f*(f - 9)/15
Solve 6*y**4/7 - y**3/7 - 31*y**2/7 + 4*y/7 + 4 = 0.
-2, -1, 7/6, 2
Find h such that 2*h**2 + 364*h = 0.
-182, 0
Factor -4*b**3 - 704*b**2 - 11700*b - 51192.
-4*(b + 9)**2*(b + 158)
Factor y**3 - 15*y**2 - 250*y.
y*(y - 25)*(y + 10)
Solve -5*k**4 + 200*k**3 - 555*k**2 = 0 for k.
0, 3, 37
Find c, given that -c**2 - 10*c - 21 = 0.
-7, -3
Factor -5*i**3 - 100*i**2 + 20*i + 400.
-5*(i - 2)*(i + 2)*(i + 20)
Let -q**3/11 - 41*q**2/11 + q/11 + 41/11 = 0. Calculate q.
-41, -1, 1
Factor 5*a**5 + 20*a**4 + 25*a**3 + 10*a**2.
5*a**2*(a + 1)**2*(a + 2)
Factor -3*o**5 - 15*o**4 - 18*o**3 + 12*o**2 + 24*o.
-3*o*(o - 1)*(o + 2)**3
What is a in 16*a**4 - 140*a**3 - 568*a**2 - 652*a - 240 = 0?
-5/4, -1, 12
Factor -4*y**2 - 40*y + 44.
-4*(y - 1)*(y + 11)
Factor -v**4/4 + 6*v**3 - 59*v**2/2 - 78*v - 169/4.
-(v - 13)**2*(v + 1)**2/4
Factor -3*m**3 + 144*m**2 + 1137*m + 990.
-3*(m - 55)*(m + 1)*(m + 6)
Factor 5*l**3 + 115*l**2 + 210*l.
5*l*(l + 2)*(l + 21)
What is j in 4*j**5 + 10*j**4 + 6*j**3 - 2*j**2 - 2*j = 0?
-1, 0, 1/2
Factor -a**4/3 - 104*a**3/3 - 2704*a**2/3.
-a**2*(a + 52)**2/3
Factor -2*b**3/21 + 58*b**2/21 - 64*b/3 + 56/3.
-2*(b - 14)**2*(b - 1)/21
Let -v**3 + 12*v**2 - 9*v - 22 = 0. Calculate v.
-1, 2, 11
Suppose -5*x**2/3 - 155*x - 3400/3 = 0. Calculate x.
-85, -8
Factor t**2/6 - 2273*t/6 - 379.
(t - 2274)*(t + 1)/6
Factor -g**4/7 - g**3/7 + 4*g**2/7 + 4*g/7.
-g*(g - 2)*(g + 1)*(g + 2)/7
Factor -t**2 - 3*t + 10.
-(t - 2)*(t + 5)
Suppose 2*z**5/7 + 10*z**4/7 + 4*z**3/7 - 40*z**2/7 - 48*z/7 = 0. Calculate z.
-3, -2, 0, 2
Let -2*c**5/3 + 16*c**4/3 - 10*c**3 = 0. What is c?
0, 3, 5
Let 4*k**5/9 + 2*k**4 - 14*k**3/9 - 2*k**2 + 10*k/9 = 0. What is k?
-5, -1, 0, 1/2, 1
Determine o so that 16*o**5 + 516*o**4 + 608*o**3 - 392*o**2 - 624*o - 124 = 0.
-31, -1, -1/4, 1
Solve -15*s**5 - 5*s**4 + 1455*s**3 - 4015*s**2 - 7440*s - 1980 = 0 for s.
-11, -1, -1/3, 6
Suppose -5*j**2 + 70*j - 120 = 0. What is j?
2, 12
Determine z so that -60*z**2 + 6665*z + 4470 = 0.
-2/3, 447/4
Let -2*r**3 + 14*r**2 + 34*r + 18 = 0. Calculate r.
-1, 9
Determine j, given that -2*j**4 + 12*j**3 + 16*j**2 - 12*j - 14 = 0.
-1, 1, 7
Suppose -q**2/5 + 597*q/5 + 598/5 = 0. What is q?
-1, 598
Factor n**3 + 39*n**2 + 224*n.
n*(n + 7)*(n + 32)
Factor 2*s**3 - 12*s**2 - 74*s - 60.
2*(s - 10)*(s + 1)*(s + 3)
Let 5*i**2 + 1395*i + 5500 = 0. What is i?
-275, -4
What is g in g**3 + 153*g**2 - g - 153 = 0?
-153, -1, 1
Determine q, given that -q**2/3 - 142*q/3 - 280/3 = 0.
-140, -2
Factor 3*f**2 + 624*f + 32448.
3*(f + 104)**2
Factor 10*k**3/11 - 2*k**2 + 14*k/11 - 2/11.
2*(k - 1)**2*(5*k - 1)/11
Solve -4*x**4 - 108*x**3 + 1036*x**2 - 2868*x + 2520 = 0 for x.
-35, 2, 3
Suppose 5*o**3 + 640*o**2 - 1295*o + 650 = 0. Calculate o.
-130, 1
Factor 4*y**3/3 - 2*y**2/3 - 100*y/3 + 50/3.
2*(y - 5)*(y + 5)*(2*y - 1)/3
Determine q, given that 18*q**2 + 38*q - 48 = 0.
-3, 8/9
Let 3*u**4 - 30*u**3 - 9*u**2 + 96*u - 60 = 0. Calculate u.
-2, 1, 10
Factor -3*d**3 + 156*d**2 - 2028*d.
-3*d*(d - 26)**2
Factor -5*n**3/3 + 40*n**2/3 + 15*n.
-5*n*(n - 9)*(n + 1)/3
Suppose 3*i**2/5 - 234*i/5 + 231/5 = 0. Calculate i.
1, 77
Factor 2*n**4/11 - 486*n**3/11 + 2868*n**2/11 - 5704*n/11 + 3792/11.
2*(n - 237)*(n - 2)**3/11
Find l such that 3*l**2 - 201*l - 204 = 0.
-1, 68
Solve -4*t**2 - 472*t + 4032 = 0.
-126, 8
Factor -4*x**2/7 - 60*x/7 - 144/7.
-4*(x + 3)*(x + 12)/7
Factor 4*o**4/3 + 20*o**3 + 328*o**2/3 + 256*o + 640/3.
4*(o + 2)*(o + 4)**2*(o + 5)/3
Suppose 26*d**2/3 - 22*d - 12 = 0. What is d?
-6/13, 3
Factor -z**3/4 - 35*z**2/4 + 9*z.
-z*(z - 1)*(z + 36)/4
Factor y**2/5 - 37*y/5 + 232/5.
(y - 29)*(y - 8)/5
Determine x, given that -9*x**3 + 1374*x**2 + 459*x = 0.
-1/3, 0, 153
Find c such that -3*c**3/4 + 201*c**2/2 + 411*c/4 - 405/2 = 0.
-2, 1, 135
Factor -2*z**3/11 + 752*z**2/11 - 6494*z + 12716.
-2*(z - 187)**2*(z - 2)/11
Factor 2*o**4/7 - 2*o**3/7 - 12*o**2/7.
2*o**2*(o - 3)*(o + 2)/7
Find i such that 5*i**5 + 127*i**4 + 867*i**3 + 1053*i**2 - 3672*i + 1620 = 0.
-15, -6, 3/5, 1
Factor -3*c**3 - 4878*c**2 - 1982907*c.
-3*c*(c + 813)**2
Find g such that -7*g**3/4 - 79*g**2/4 + 199*g/2 + 30 = 0.
-15, -2/7, 4
Let -4*p**2/3 + 12*p + 48 = 0. Calculate p.
-3, 12
Determine h, given that -h**2/3 - 4*h + 220/3 = 0.
-22, 10
Solve 3*y**3 - 2142*y**2 - 4293*y - 2148 = 0 for y.
-1, 716
What is x in -x**5/6 + 4*x**4/3 + 2*x**3 - 24*x**2 = 0?
-4, 0, 6
Factor -2*m**2/5 + 9404*m/5 - 11054402/5.
-2*(m - 2351)**2/5
Find o such that -o**4 + 10*o**3 - 24*o**2 + 22*o - 7 = 0.
1, 7
Factor k**2/2 - 7*k + 20.
(k - 10)*(k - 4)/2
Factor -4*d**4 + 48*d**3 - 72*d**2 - 304*d - 180.
-4*(d - 9)*(d - 5)*(d + 1)**2
Let -8*s**5/7 + 12*s**4/7 + 68*s**3/7 - 108*s**2/7 + 36*s/7 = 0. What is s?
-3, 0, 1/2, 1, 3
Solve 118*m**2/5 - 238*m/5 + 24 = 0.
1, 60/59
Find f such that 5*f**2 + 70*f = 0.
-14, 0
Factor 2*g**3 - 6*g - 4.
2*(g - 2)*(g + 1)**2
What is g in -64*g**5 + 592*g**4 - 1681*g**3 + 1417*g**2 - 280*g + 16 = 0?
1/8, 1, 4
Factor -2*u**4 + 32*u**3 - 58*u**2 + 28*u.
-2*u*(u - 14)*(u - 1)**2
Factor g**5/2 + 3*g**4/2 - 3*g**3 - 14*g**2 - 12*g.
g*(g - 3)*(g + 2)**3/2
Solve -2*t**3 - 674*t**2 + 676*t = 0 for t.
-338, 0, 1
Solve -5*h**2 + 20*h + 300 = 0.
-6, 10
Determine j so that 4*j**2/7 + 16*j/7 = 0.
-4, 0
Suppose c**3 - 99*c**2 + 368*c + 1140 = 0. Calculate c.
-2, 6, 95
Factor -5*g**3 + 2955*g**2 - 582135*g + 38226865.
-5*(g - 197)**3
Factor f**4/4 + f**3/2 + f**2/4.
f**2*(f + 1)**2/4
Suppose -k**2 - 68*k - 1156 = 0. Calculate k.
-34
Let 37*w**3/2 - 31*w**2/6 - w/3 = 0. Calculate w.
-2/37, 0, 1/3
Let 6*z**5 - 333*z**4 + 5589*z**3 - 24600*z**2 - 16704*z + 13824 = 0. What is z?
-1, 1/2, 8, 24
Solve -4*h**3 + 56*h**2 - 96*h = 0.
0, 2, 12
Factor -5*v**2/4 - 50*v - 255.
-5*(v + 6)*(v + 34)/4
Find l such that l**4/2 + 83*l**3/4 + 921*l**2/4 + 310*l + 100 = 0.
-20, -1, -1/2
Factor -5*q**3 + 10*q**2 - 5*q.
-5*q*(q - 1)**2
Find y, given that 5*y**3 - 170*y**2 - 1155*y - 1800 = 0.
-3, 40
Factor 2*i**2/13 + 256*i/13 - 258/13.
2*(i - 1)*(i + 129)/13
Factor 3*b**3/5 + 16*b**2/5 + 12*b/5 - 16/5.
(b + 2)*(b + 4)*(3*b - 2)/5
Factor 4*c**4 + 32*c**3 + 76*c**2 + 48*c.
4*c*(c + 1)*(c + 3)*(c + 4)
Solve -x**3/4 - x**2 - x = 0.
-2, 0
Solve -a**5 - a**4 + 7*a**3 + 13*a**2 + 6*a = 0 for a.
-2, -1, 0, 3
Factor -l**5/4 + 7*l**4/2 - 73*l**3/4 + 43*l**2 - 44*l + 16.
-(l - 4)**3*(l - 1)**2/4
Factor x**4/3 - 14*x**3/3 - 35*x**2/3 + 16*x.
x*(x - 16)*(x - 1)*(x + 3)/3
Determine i so that -2*i**3 + 10*i**2 + 56*i - 64 = 0.
-4, 1, 8
Solve -2*i**2/3 - 6*i + 20/3 = 0.
-10, 1
Factor -3*o**2/2 - 789*o - 207507/2.
-3*(o + 263)**2/2
Let -2*p**5 - 13*p**4 - 23*p**3 - 3*p**2 + 9*p = 0. Calculate p.
-3, -1, 0, 1/2
Suppose -3*z**2 + 1425*z = 0. What is z?
0, 475
Factor -4*m**2/5 + 4*m + 24/5.
-4*(m - 6)*(m + 1)/5
What is d in 2*d**2/5 + 206*d/5 + 204/5 = 0?
-102, -1
Factor -3*x**3/2 + 57*x**2 - 330*x - 4356.
-3*(x - 22)**2*(x + 6)/2
What is p in -3*p**3 + 39*p**2 + 3*p - 39 = 0?
-1, 1, 13
Factor -z**2/4 + 25*z/2 + 51/4.
-(z - 51)*(z + 1)/4
Determine f, given that 6*f**3/23 - 50*f**2/23 + 72*f/23 + 72/23 = 0.
-2/3, 3, 6
Factor -g**5 + 9*g**4 - 25*g**3 + 27*g**2 - 10*g.
-g*(g - 5)*(g - 2)*(g - 1)**2
Let -2*k**3/15 - 64*k**2/15 + 22*k + 504/5 = 0. Calculate k.
-36, -3, 7
Determine h, given that -4*h**2 - 105*h - 26 = 0.
-26, -1/4
Factor 5*r**4/3 + 5*r**3/3 - 15*r**2 + 55*r/3 - 20/3.
5*(