+ 202*l**2/7 - 188*l/7 - 1200/7 = 0.
-2, 3, 100
Factor -2*y**5/5 - 52*y**4/5.
-2*y**4*(y + 26)/5
Factor -3*w**2/4 + 30*w + 288.
-3*(w - 48)*(w + 8)/4
What is x in x**5/3 - 14*x**4/3 + 32*x**3/3 + 128*x**2/3 = 0?
-2, 0, 8
Factor -f**2 - 715*f - 714.
-(f + 1)*(f + 714)
What is y in -5*y**5 - 160*y**4 - 1365*y**3 - 4750*y**2 - 7340*y - 4200 = 0?
-21, -5, -2
Determine f so that -f**4/3 + f**3 + 3*f**2 - 23*f/3 + 4 = 0.
-3, 1, 4
Solve -4*k**2 - 48*k - 44 = 0 for k.
-11, -1
Suppose 2*z**5/7 + 2*z**4/7 - 18*z**3/7 - 10*z**2/7 + 32*z/7 + 24/7 = 0. What is z?
-3, -1, 2
Let -3*c**2 + 15*c = 0. Calculate c.
0, 5
Factor 2*c**4/11 - 20*c**3/11 + 34*c**2/11 - 16*c/11.
2*c*(c - 8)*(c - 1)**2/11
Factor -3*x**2 + 9*x.
-3*x*(x - 3)
Suppose -55*g**2 - 380*g - 540 = 0. What is g?
-54/11, -2
Find k, given that -2*k**5/7 - 26*k**4/7 - 100*k**3/7 - 40*k**2/7 + 432*k/7 + 576/7 = 0.
-6, -4, -3, -2, 2
Factor -h**2/3 + 142*h/3 - 47.
-(h - 141)*(h - 1)/3
What is m in -3*m**3/7 + 8808*m**2/7 = 0?
0, 2936
Suppose 2*t**2 - 20*t + 18 = 0. What is t?
1, 9
Suppose -4*f**2 + 1424*f + 1428 = 0. What is f?
-1, 357
Factor 3*v**3/4 - 141*v**2/4 + 435*v/2 - 300.
3*(v - 40)*(v - 5)*(v - 2)/4
Factor -4*a**2 + 1296*a + 3924.
-4*(a - 327)*(a + 3)
Let 4*i**3 - 8*i**2 + 4*i = 0. What is i?
0, 1
Solve m**5 - 36*m**4 + 323*m**3 + 36*m**2 - 324*m = 0.
-1, 0, 1, 18
Factor 2*t**2/9 - 74*t/9 + 140/9.
2*(t - 35)*(t - 2)/9
Suppose 3*v**4/7 + 9*v**3/7 + 6*v**2/7 = 0. What is v?
-2, -1, 0
Determine d, given that 32*d**4/3 + 82*d**3/3 + 68*d**2/3 + 6*d = 0.
-1, -9/16, 0
Factor 3*u**4/4 + 5*u**3 + 12*u**2 + 12*u + 4.
(u + 2)**3*(3*u + 2)/4
What is z in -2*z**2 - 178*z - 176 = 0?
-88, -1
Solve 3*s**3/8 + 15*s**2/2 + 159*s/8 + 51/4 = 0 for s.
-17, -2, -1
Find r, given that -2*r**2/11 - 492*r/11 - 30258/11 = 0.
-123
Determine v so that -15*v**3 + 201*v**2 - 528*v + 180 = 0.
2/5, 3, 10
Factor 25*l**3 + 160*l**2 + 285*l + 90.
5*(l + 3)**2*(5*l + 2)
Factor k**3/10 + 11*k**2/5 + 153*k/10 + 162/5.
(k + 4)*(k + 9)**2/10
Let -2*r**3/3 - 110*r**2/3 - 1334*r/3 + 1682 = 0. What is r?
-29, 3
Find y, given that 24*y**3 + 34*y**2 - 26*y + 4 = 0.
-2, 1/4, 1/3
Let -3*r**4/2 + 15*r**3/4 + 3*r**2 - 9*r/4 = 0. Calculate r.
-1, 0, 1/2, 3
Determine o, given that -8*o**3/3 + 38*o**2/3 - 38*o/3 - 4 = 0.
-1/4, 2, 3
Factor 4*y**5 - 56*y**4.
4*y**4*(y - 14)
Factor 5*w**5 - 15*w**3 - 10*w**2.
5*w**2*(w - 2)*(w + 1)**2
Factor -2*i**4 - 24*i**3 - 20*i**2 + 24*i + 22.
-2*(i - 1)*(i + 1)**2*(i + 11)
Determine d, given that d**4/3 + 7*d**3/3 - 113*d**2 + 653*d/3 - 322/3 = 0.
-23, 1, 14
Factor -5*x**4 - 565*x**3 + 2320*x**2 - 2340*x.
-5*x*(x - 2)**2*(x + 117)
Determine h so that 2116*h**4/3 + 29440*h**3/3 + 33704*h**2 - 8960*h/3 + 196/3 = 0.
-7, 1/23
Factor -2*q**4/7 + 12*q**3/7 - 18*q**2/7.
-2*q**2*(q - 3)**2/7
Determine o so that -4*o**3 + 4*o**2 + 8*o = 0.
-1, 0, 2
Solve -5*m**4 + 1835*m**3 - 1825*m**2 - 1835*m + 1830 = 0.
-1, 1, 366
Suppose -81*v**4/4 - 657*v**3 - 289*v**2 - 32*v = 0. What is v?
-32, -2/9, 0
What is f in f**3 + 26*f**2 + 23*f - 50 = 0?
-25, -2, 1
Factor -f**5/6 - 2*f**4/3 - 2*f**3/3.
-f**3*(f + 2)**2/6
Factor 2*c**3/13 + 2*c**2/13 - 8*c/13 - 8/13.
2*(c - 2)*(c + 1)*(c + 2)/13
Find b, given that 5*b**5 + 620*b**4 + 615*b**3 = 0.
-123, -1, 0
Determine w, given that -3*w**5/5 - 21*w**4/5 - 6*w**3 + 6*w**2/5 + 33*w/5 + 3 = 0.
-5, -1, 1
Factor -4*b**4/3 - 100*b**3/3 - 300*b**2 - 3500*b/3 - 5000/3.
-4*(b + 5)**3*(b + 10)/3
Determine x so that x**5/6 - 5*x**4/3 + 10*x**3/3 + 5*x**2/3 - 7*x/2 = 0.
-1, 0, 1, 3, 7
Factor 6*x**3/11 - 60*x**2/11.
6*x**2*(x - 10)/11
Factor -255*k**2 + 2045*k - 40.
-5*(k - 8)*(51*k - 1)
Determine j, given that 3*j**3/5 - 1821*j**2/5 - 3651*j/5 - 1827/5 = 0.
-1, 609
Suppose -j**2/3 - 16124*j/3 - 64995844/3 = 0. Calculate j.
-8062
Solve h**4 + 9*h**3 + 28*h**2 + 36*h + 16 = 0 for h.
-4, -2, -1
Solve 2*j**5 + 650*j**4 + 84500*j**3 + 5492500*j**2 + 178506250*j + 2320581250 = 0 for j.
-65
Factor 4*s**4 - 72*s**3 - 176*s**2 + 288*s + 640.
4*(s - 20)*(s - 2)*(s + 2)**2
Let 2*i**5/5 + 68*i**4/5 + 122*i**3 - 8*i**2/5 - 9984*i/5 - 18432/5 = 0. What is i?
-16, -3, 4
Let -2*t**2 + 70*t - 132 = 0. Calculate t.
2, 33
Suppose -9*s**4/8 - 183*s**3/4 + 887*s**2/8 - 171*s/2 + 43/2 = 0. What is s?
-43, 2/3, 1
Factor -3*i**2/2 + 111*i.
-3*i*(i - 74)/2
Factor -3*f**2 - 51*f - 126.
-3*(f + 3)*(f + 14)
Find n such that -n**2 + 15*n - 26 = 0.
2, 13
Solve -q**2 - 24*q - 108 = 0 for q.
-18, -6
Suppose g**2 + 326*g + 325 = 0. Calculate g.
-325, -1
Find o such that 2*o**5/5 - 4*o**4 + 62*o**3/5 - 44*o**2/5 - 64*o/5 + 64/5 = 0.
-1, 1, 2, 4
Factor 4*m**2 - 60*m.
4*m*(m - 15)
Solve 3*q**5 - 27*q**3 - 12*q**2 + 36*q = 0 for q.
-2, 0, 1, 3
Factor -2*d**3/7 - 54*d**2/7 - 270*d/7 + 1350/7.
-2*(d - 3)*(d + 15)**2/7
Find j such that -5*j**3 - 205*j**2 - 190*j + 400 = 0.
-40, -2, 1
Let -2*d**5 + 34*d**4 - 182*d**3 + 286*d**2 + 112*d - 392 = 0. What is d?
-1, 2, 7
Let 3*k**5/4 - 27*k**4/4 + 69*k**3/4 - 9*k**2/4 - 27*k = 0. What is k?
-1, 0, 3, 4
Factor 2*a**5 + 4*a**4 - 6*a**3 - 16*a**2 - 8*a.
2*a*(a - 2)*(a + 1)**2*(a + 2)
Solve -3*l**5 + 28*l**4 - 72*l**3 + 78*l**2 - 37*l + 6 = 0.
1/3, 1, 6
Suppose -s**3/5 - 11*s**2/5 + 14*s/5 + 24/5 = 0. What is s?
-12, -1, 2
Determine c so that c**2/6 + 41*c/3 - 273/2 = 0.
-91, 9
Factor 2*m**2/13 - 4686*m/13.
2*m*(m - 2343)/13
Factor 3*g**4 - 15*g**3 - 18*g**2 + 96*g + 96.
3*(g - 4)**2*(g + 1)*(g + 2)
Factor 3*n**2/5 + 204*n/5 + 3468/5.
3*(n + 34)**2/5
Let -196*j**2 - 336*j - 144 = 0. Calculate j.
-6/7
Determine w so that -w**3 - 1031*w**2 + 6213*w - 9333 = 0.
-1037, 3
Factor 2*a**2/7 + 5*a/7 - 1.
(a - 1)*(2*a + 7)/7
Find p, given that -2*p**5 - 20*p**4 - 48*p**3 + 20*p**2 + 50*p = 0.
-5, -1, 0, 1
Factor -m**3/3 - 160*m**2/3 - 781*m/3 - 310.
-(m + 2)*(m + 3)*(m + 155)/3
What is m in 3*m**3 - 6*m**2 - 24*m = 0?
-2, 0, 4
Determine t, given that -4*t**3/5 - 12*t**2/5 + 24*t/5 + 32/5 = 0.
-4, -1, 2
Let -8*x**5/3 - 290*x**4/3 + 280*x**3 - 700*x**2/3 + 80*x/3 + 26 = 0. Calculate x.
-39, -1/4, 1
Factor 3*i**4 - 126*i**3 - 681*i**2 - 1116*i - 564.
3*(i - 47)*(i + 1)*(i + 2)**2
Find x such that x**2 + 378*x + 377 = 0.
-377, -1
Factor -3*l**5/5 + 12*l**4/5 - 3*l**3 + 6*l**2/5.
-3*l**2*(l - 2)*(l - 1)**2/5
Factor -v**2/8 - 153*v/4 - 225.
-(v + 6)*(v + 300)/8
Find x such that -x**5 + 133*x**4/5 - 418*x**3/5 + 74*x**2/5 + 423*x/5 - 207/5 = 0.
-1, 3/5, 1, 3, 23
Factor -2*o**2/11 + 14*o/11 - 24/11.
-2*(o - 4)*(o - 3)/11
Factor w**4/6 + 7*w**3/6 - 2*w**2/3 - 56*w/3 - 32.
(w - 4)*(w + 3)*(w + 4)**2/6
Determine w so that 4*w**2 + 272*w - 560 = 0.
-70, 2
Factor -2*k**4 + 6*k**3 - 4*k**2.
-2*k**2*(k - 2)*(k - 1)
Factor -500*k**4/3 + 50*k**3/3 + 105*k**2 + 81*k/2 + 9/2.
-(k - 1)*(10*k + 3)**3/6
Factor -u**2/3 + 30*u + 91/3.
-(u - 91)*(u + 1)/3
Suppose 8*y**5/5 - 94*y**4/5 + 64*y**3 - 394*y**2/5 + 104*y/5 + 56/5 = 0. What is y?
-1/4, 1, 2, 7
Factor r**2/4 + 25*r/4.
r*(r + 25)/4
Factor -b**3/3 + 224*b**2 + 900*b + 2704/3.
-(b - 676)*(b + 2)**2/3
Let -3*t**2/5 + 702*t/5 - 41067/5 = 0. What is t?
117
Let -81*z**5 + 3411*z**4 - 32560*z**3 - 70196*z**2 - 41888*z - 7744 = 0. What is z?
-1, -4/9, 22
Factor -5*s**3 + 10*s**2 + 55*s - 60.
-5*(s - 4)*(s - 1)*(s + 3)
Factor 50*m**4 - 120*m**3 + 42*m**2 - 4*m.
2*m*(m - 2)*(5*m - 1)**2
Find s, given that -2*s**2 - 320*s + 648 = 0.
-162, 2
Factor -10*i**4 - 68605*i**3 - 156876765*i**2 - 119540083495*i + 59809269515.
-5*(i + 2287)**3*(2*i - 1)
Determine w, given that -3*w**4 + 357*w**3 = 0.
0, 119
Factor 3*m**5 + 6*m**4 - 9*m**3 - 24*m**2 - 12*m.
3*m*(m - 2)*(m + 1)**2*(m + 2)
Factor 3*o**3 - 24339*o**2 + 49377744*o - 49353408.
3*(o - 4056)**2*(o - 1)
Determine p, given that -4*p**4/5 - 248*p**3/5 - 768*p**2 + 248*p/5 + 3844/5 = 0.
-31, -1, 1
Find i such that -3*i**3/7 - 69*i**2/7 - 18*i = 0.
-21, -2, 0
Let 2*i**3/5 + 714*i**2/5 + 84966*i/5 + 3370318/5 = 0. Calculate i.
-119
Factor -3*l**4/4 - 3*l**3/2 + 3*l**2 + 6*l.
-3*l*(l - 2)*(l + 2)**2/4
Factor -2*a**2/5 + 5668*a/5 - 4015778/5.
-2*(a - 1417)**2/5
Find g, given that 5*g**2 + 30*g = 0.
-6, 0
Let -5*h**3 - 10*h**2 + 15*h = 0. Calculate h.
-3, 0, 1
Factor 2*i**2/13 - 196*i/13 + 4802/13.
2*(i - 49)**2/13
Factor -g**2/2 - 242*g - 29282.
-(g + 242)**2/2
Suppose -j**5/3 + j**4 + 15*j**3 + 77*j**2/3 + 12*j = 0. Calculate j.
-4, -