 -4*n**2 - 68*n - 120 = 0. Calculate n.
-15, -2
Factor -l**2/8 - 31*l/4 - 15.
-(l + 2)*(l + 60)/8
Factor -o**2/3 - 37*o/3 - 70/3.
-(o + 2)*(o + 35)/3
Solve 15*t**4/7 + 312*t**3/7 + 1962*t**2/7 + 3240*t/7 - 729/7 = 0 for t.
-9, -3, 1/5
Find y such that 2*y**2/21 + 20*y/7 = 0.
-30, 0
Find c such that -5*c**2/3 - 1420*c/3 - 2325 = 0.
-279, -5
What is d in -121*d**5/4 - 473*d**4/2 - 718*d**3 - 1052*d**2 - 740*d - 200 = 0?
-2, -10/11
Factor s**5/4 + 5*s**4/4 - s**3 - 5*s**2.
s**2*(s - 2)*(s + 2)*(s + 5)/4
Factor y**2/8 + 23*y/8 - 35/2.
(y - 5)*(y + 28)/8
What is j in -6*j**2/5 + 142*j/5 - 92/5 = 0?
2/3, 23
What is x in 4*x**4/9 - 28*x**3/9 - 1976*x**2/9 = 0?
-19, 0, 26
Determine v, given that -2*v**2/7 + 1336*v/7 - 223112/7 = 0.
334
Factor -45*u**2 + 160*u - 140.
-5*(u - 2)*(9*u - 14)
Factor -h**5/3 + 8*h**4/3 - 16*h**3/3.
-h**3*(h - 4)**2/3
Factor 2*w**3/13 + 68*w**2/13 + 10*w + 64/13.
2*(w + 1)**2*(w + 32)/13
Factor -4*r**4/3 - 136*r**3/3 - 44*r**2.
-4*r**2*(r + 1)*(r + 33)/3
Find t, given that t**5 - 25*t**4 - 161*t**3 + 297*t**2 + 972*t + 540 = 0.
-6, -1, 3, 30
Factor i**4/5 - 6*i**3/5 + 32*i/5.
i*(i - 4)**2*(i + 2)/5
Find y, given that -3*y**4/5 - 3*y**3/5 + 3*y**2 - 9*y/5 = 0.
-3, 0, 1
Suppose 5*g**3 - 145*g**2 + 770*g = 0. Calculate g.
0, 7, 22
Suppose u**2 - 148*u + 292 = 0. Calculate u.
2, 146
Factor -4*d**3 - 36*d**2 + 424*d - 384.
-4*(d - 6)*(d - 1)*(d + 16)
Let 2*h**4/17 + 16*h**3/17 - 70*h**2/17 - 588*h/17 = 0. Calculate h.
-7, 0, 6
Solve 4*z**4 + 56*z**3 + 96*z**2 = 0.
-12, -2, 0
Suppose 2*h**4/9 - 16*h**3/3 + 136*h**2/3 - 1472*h/9 + 640/3 = 0. Calculate h.
4, 6, 10
Factor r**2 + 106*r + 2809.
(r + 53)**2
Determine u, given that u**5/4 + u**4/4 - 5*u**3/4 - 5*u**2/4 + u + 1 = 0.
-2, -1, 1, 2
Factor -3*c**4/8 + 3*c**3 - 33*c**2/4 + 9*c - 27/8.
-3*(c - 3)**2*(c - 1)**2/8
What is y in -y**2 - 23*y - 112 = 0?
-16, -7
Factor 2*d**2 + 2334*d.
2*d*(d + 1167)
What is g in g**5/8 - 23*g**4/8 + 24*g**3 - 81*g**2 + 54*g + 162 = 0?
-1, 6
Suppose -b**3/3 - 20*b**2 - 59*b/3 = 0. What is b?
-59, -1, 0
Factor a**3/6 - a**2/3 - 5*a/6 + 1.
(a - 3)*(a - 1)*(a + 2)/6
Determine g, given that 10*g**3/9 + 2*g**2/3 - 8*g/3 + 8/9 = 0.
-2, 2/5, 1
Factor -3*k**3 + 33*k**2 - 108*k + 108.
-3*(k - 6)*(k - 3)*(k - 2)
Determine b, given that 3*b**5 - 129*b**4 - 546*b**3 - 834*b**2 - 561*b - 141 = 0.
-1, 47
Factor 2*z**3/5 - 28*z**2/5 + 128*z/5 - 192/5.
2*(z - 6)*(z - 4)**2/5
Factor -9*z**3/4 + 3*z**2/2 + 183*z/4 + 15.
-3*(z - 5)*(z + 4)*(3*z + 1)/4
What is v in 4*v**4 + 72*v**3 + 292*v**2 + 432*v + 208 = 0?
-13, -2, -1
Find w, given that 2*w**5/7 + 138*w**4/7 + 402*w**3/7 + 398*w**2/7 + 132*w/7 = 0.
-66, -1, 0
Factor l**5 + 13*l**4/2 + 4*l**3 - 24*l**2.
l**2*(l + 4)**2*(2*l - 3)/2
Factor -3*a**4/2 + 9*a**3 - 27*a**2/2 + 6*a.
-3*a*(a - 4)*(a - 1)**2/2
Solve a**4/8 - 11*a**3/4 + 12*a**2 + 36*a = 0.
-2, 0, 12
Let -4*x**5 - 1080*x**4 - 72896*x**3 + 1080*x**2 + 72900*x = 0. Calculate x.
-135, -1, 0, 1
Solve -v**3/5 + 744*v**2/5 - 138384*v/5 = 0 for v.
0, 372
Solve -3*y**2 - 157*y - 154 = 0.
-154/3, -1
Find b such that 4*b**5 - 12*b**4 - 20*b**3 + 108*b**2 - 128*b + 48 = 0.
-3, 1, 2
Factor 2*r**3 - 412*r**2 + 20370*r + 88200.
2*(r - 105)**2*(r + 4)
Suppose 5*s**3 - 5*s**2 - 70*s + 120 = 0. What is s?
-4, 2, 3
Determine y so that 5*y**3 - 90*y**2 + 165*y - 80 = 0.
1, 16
What is v in 2*v**4 + 4*v**3 - 2*v**2 - 4*v = 0?
-2, -1, 0, 1
Determine x so that -x**3/3 + 14*x**2/3 - 8*x = 0.
0, 2, 12
Solve 4*o**5 + 12*o**4 - 4*o**3 - 12*o**2 = 0.
-3, -1, 0, 1
Factor -4*h**2 + 188*h - 2160.
-4*(h - 27)*(h - 20)
Suppose -15*n**2 + 5095*n + 1700 = 0. What is n?
-1/3, 340
Determine p so that -5*p**4/2 - 26*p**3 - 65*p**2/2 - 9*p = 0.
-9, -1, -2/5, 0
Solve -4*k**2 - 96*k - 572 = 0.
-13, -11
Factor -w**3/8 - 97*w**2/4 - 381*w/8 + 72.
-(w - 1)*(w + 3)*(w + 192)/8
Find x, given that -2*x**4 - 2*x**3 + 30*x**2 - 46*x + 20 = 0.
-5, 1, 2
Find s such that s**2 + 315*s = 0.
-315, 0
Suppose -3*g**4/5 - 138*g**3 + 708*g**2/5 + 3474*g/5 + 2079/5 = 0. What is g?
-231, -1, 3
Factor -3*w**4/5 - 21*w**3/5 + 198*w**2/5 - 444*w/5 + 312/5.
-3*(w - 2)**3*(w + 13)/5
Find l such that 2*l**3/3 - 230*l**2/3 - 156*l = 0.
-2, 0, 117
Let 3*l**4 + 216*l**3 + 5832*l**2 + 69984*l + 314928 = 0. Calculate l.
-18
Let 2*o**3/9 + 1514*o**2/9 + 6032*o/9 + 2008/3 = 0. Calculate o.
-753, -2
Let -2*s**2 - 34*s - 60 = 0. What is s?
-15, -2
Factor -14*g**3 - 180*g**2 + 26*g.
-2*g*(g + 13)*(7*g - 1)
Determine i so that 3*i**4 + 219*i**3 - 450*i**2 = 0.
-75, 0, 2
Factor -2*h**3/13 + 38*h**2/13 - 36*h/13.
-2*h*(h - 18)*(h - 1)/13
Suppose -2*j**2/11 - 658*j/11 + 60 = 0. What is j?
-330, 1
Let -y**3/2 + 25*y**2/2 - 123*y/2 + 171/2 = 0. Calculate y.
3, 19
Suppose x**2/4 + 13*x/2 - 14 = 0. What is x?
-28, 2
What is b in -3*b**3/4 - 39*b**2/4 - 69*b/4 - 33/4 = 0?
-11, -1
Suppose 2*u**2/5 - 62*u/5 + 116/5 = 0. What is u?
2, 29
Suppose -2*p**4/7 + 40*p**3/7 + 2*p**2/7 - 40*p/7 = 0. Calculate p.
-1, 0, 1, 20
Find t, given that 2*t**4/9 + 58*t**3 - 526*t**2/9 - 58*t + 524/9 = 0.
-262, -1, 1
Solve -2*v**4/21 + 16*v**3/21 + 2*v**2 - 16*v/21 - 40/21 = 0.
-2, -1, 1, 10
Factor p**4/2 - 2*p**3 - 14*p**2 - 16*p.
p*(p - 8)*(p + 2)**2/2
Factor 3*b**4 - 210*b**3 + 3879*b**2 - 7140*b + 3468.
3*(b - 34)**2*(b - 1)**2
Find o such that -5*o**5 - 325*o**4 + 5*o**3 + 325*o**2 = 0.
-65, -1, 0, 1
Factor 2*u**2/11 + 46*u/11 + 84/11.
2*(u + 2)*(u + 21)/11
Determine a so that 5*a**2 - 15*a + 10 = 0.
1, 2
Factor 36*n**2 + 2332*n - 520.
4*(n + 65)*(9*n - 2)
Solve 2*x**5 + 30*x**4 - 34*x**3 - 30*x**2 + 32*x = 0.
-16, -1, 0, 1
Let r**5/6 - 7*r**4/3 - 25*r**3/2 + 20*r**2/3 + 122*r/3 + 24 = 0. Calculate r.
-4, -1, 2, 18
Factor 5*p**3 - 990*p**2 + 1960*p.
5*p*(p - 196)*(p - 2)
Find i such that 3*i**4 - 141*i**3 + 225*i**2 + 2025*i = 0.
-3, 0, 5, 45
Find u such that -3*u**3 + 9*u**2 + 72*u + 84 = 0.
-2, 7
What is j in -j**3/4 + 9*j**2/4 + 45*j/2 = 0?
-6, 0, 15
Find a, given that a**4/7 - 5*a**3/7 - 4*a**2/7 + 20*a/7 = 0.
-2, 0, 2, 5
Let 2*l**3/3 - 8*l**2/3 - 2*l + 12 = 0. Calculate l.
-2, 3
Solve -4*w**4 - 1144*w**3 + 4*w**2 + 1144*w = 0 for w.
-286, -1, 0, 1
Factor -81*t**3/5 + 16803*t**2/5 - 7456*t/5 + 828/5.
-(t - 207)*(9*t - 2)**2/5
Factor 3*p**4/5 + 12*p**3/5 + 12*p**2/5.
3*p**2*(p + 2)**2/5
Factor v**5/4 - v**4/2 - 13*v**3/4 - 5*v**2/2.
v**2*(v - 5)*(v + 1)*(v + 2)/4
Let z**2 - 1004*z/3 - 335/3 = 0. What is z?
-1/3, 335
Solve -4*a**3 - 444*a**2 - 12096*a + 12544 = 0 for a.
-56, 1
Find n, given that -4*n**3/5 - 1892*n**2/5 + 1896*n/5 = 0.
-474, 0, 1
Factor 4*c**3 - 8*c**2.
4*c**2*(c - 2)
Factor -4*n**3 - 116*n**2 + 4*n + 116.
-4*(n - 1)*(n + 1)*(n + 29)
Find h such that 5*h**3 - 835*h**2 + 1655*h - 825 = 0.
1, 165
Find d such that 3*d**3/8 - 9*d**2/4 + 9*d/8 + 15/4 = 0.
-1, 2, 5
Factor -6*b**2 + 777*b - 1152.
-3*(b - 128)*(2*b - 3)
Let s**4/3 + 35*s**3 + 103*s**2/3 - 35*s - 104/3 = 0. What is s?
-104, -1, 1
Factor a**2/5 + 9*a/5 + 14/5.
(a + 2)*(a + 7)/5
Let 24*i**3 + 14*i**2 - 14*i - 4 = 0. Calculate i.
-1, -1/4, 2/3
Suppose 3*q**3 + 2502*q**2 + 695556*q + 64454856 = 0. Calculate q.
-278
Determine v so that 3*v**3 + 183*v**2 + 2880*v + 2700 = 0.
-30, -1
Solve 5*w**4 - 155*w**3 - 330*w**2 = 0 for w.
-2, 0, 33
Factor -15*n**2 + 115*n + 40.
-5*(n - 8)*(3*n + 1)
Factor -x**2/3 + 92*x - 275/3.
-(x - 275)*(x - 1)/3
Solve 5*q**4 - 32720*q**3 + 53529915*q**2 + 32720*q - 53529920 = 0 for q.
-1, 1, 3272
Factor 4*y**5 + 12*y**4 - 36*y**3 + 20*y**2.
4*y**2*(y - 1)**2*(y + 5)
Let -d**4 - 311*d**3 - 23709*d**2 + 73319*d - 49298 = 0. Calculate d.
-157, 1, 2
Factor 2*r**5/5 - 8*r**4/5 - 4*r**3/5 + 24*r**2/5 + 18*r/5.
2*r*(r - 3)**2*(r + 1)**2/5
What is w in -11*w**3/4 + 20*w**2 + 25*w/4 - 375/2 = 0?
-30/11, 5
Solve -f**3/4 - 2*f**2 - 5*f - 4 = 0 for f.
-4, -2
Factor -3*s**2/5 - 372*s/5 - 1485.
-3*(s + 25)*(s + 99)/5
Find f such that -2*f**4/7 - 236*f**3 - 337818*f**2/7 + 195880*f - 1377800/7 = 0.
-415, 2
Suppose -2*v**2/3 + 64*v/3 - 40 = 0. Calculate v.
2, 30
Let c**5 - 98*c**4 - 301*c**3 - 202*c**2 = 0. What is c?
-2, -1, 0, 101
Factor 44*g**3/9 - 56*g**2/3 + 100*g/9 + 8/3.
4*(g - 3)*(g - 1)*(11*g + 2)/9
Determine x so that x**4/3 - 32*x**3/3 - 59*x**2 - 292*x/3 - 148/3 = 0.
-2, -1, 37
Factor -16*o**4 + 4*o**3 + 40*o**2 - 28*o.
-4*o*(o - 1)**2*(4*o + 7)
Suppose -z**3/2 - 