20*k**2/3 + 220*k - 320/3 = 0. What is k?
-2, -1, 1/2, 2/3, 16
Factor y**2/6 - 5*y/6 - 1.
(y - 6)*(y + 1)/6
Find x, given that 2*x**3/5 + 30*x**2 + 2736*x/5 - 2888/5 = 0.
-38, 1
Solve -5*t**2 - 105*t = 0.
-21, 0
Factor -4*o**3 + 112*o + 192.
-4*(o - 6)*(o + 2)*(o + 4)
Let -9*v**5/2 - 75*v**4/2 - 87*v**3/2 + 303*v**2/2 + 216*v + 54 = 0. What is v?
-6, -3, -1, -1/3, 2
Suppose -h**2/2 + 34*h + 69/2 = 0. Calculate h.
-1, 69
Factor 5*x**2/3 + 172*x/3 + 77.
(x + 33)*(5*x + 7)/3
Factor c**2 + 262*c + 17161.
(c + 131)**2
Find i, given that 3*i**2 + 90*i + 243 = 0.
-27, -3
Solve 5*j**4 - 35*j**2 - 30*j = 0.
-2, -1, 0, 3
Factor 7*l**2 + 831*l - 238.
(l + 119)*(7*l - 2)
Find c, given that -3*c**2 + 114*c - 1083 = 0.
19
What is j in 2*j**5/7 + 24*j**4/7 + 104*j**3/7 + 192*j**2/7 + 128*j/7 = 0?
-4, -2, 0
Find w such that -3*w**5/2 + 9*w**4 = 0.
0, 6
What is t in -2*t**5/5 - 6*t**4/5 + 12*t**3 + 256*t**2/5 + 192*t/5 = 0?
-4, -1, 0, 6
Factor i**4/2 - 2*i**2.
i**2*(i - 2)*(i + 2)/2
Solve 4*z**3 - 12*z**2 - 420*z + 2156 = 0.
-11, 7
Factor -n**3 + 78*n**2 - 1521*n.
-n*(n - 39)**2
Factor 3*q**4/7 - 18*q**3/7 - 12*q**2/7 + 72*q/7.
3*q*(q - 6)*(q - 2)*(q + 2)/7
Let -m**5 + 273*m**4 - 18219*m**3 - 56305*m**2 - 56856*m - 19044 = 0. What is m?
-1, 138
Suppose k**2/4 - 15*k/4 + 7/2 = 0. What is k?
1, 14
Let n**3/4 + 3*n**2/2 + 5*n/4 - 3 = 0. Calculate n.
-4, -3, 1
Factor 2*w**2/5 - 568*w/5 + 448.
2*(w - 280)*(w - 4)/5
Let -2*p**2/11 + 60*p/11 + 62/11 = 0. What is p?
-1, 31
Determine w, given that -3*w**5 + 50*w**4 + 20*w**3 - 50*w**2 - 17*w = 0.
-1, -1/3, 0, 1, 17
Factor j**2/4 - 30*j + 900.
(j - 60)**2/4
Suppose -n**3 - 15*n**2 - 72*n - 108 = 0. What is n?
-6, -3
Find d, given that -3*d**4/5 + 9*d**3/5 + 9*d**2 + 51*d/5 + 18/5 = 0.
-1, 6
Determine q, given that 4*q**2 - 2380*q - 4776 = 0.
-2, 597
What is s in -s**4/7 + 2*s**3/7 + 3*s**2/7 - 4*s/7 - 4/7 = 0?
-1, 2
Suppose -f**2/2 - 4*f - 8 = 0. What is f?
-4
Factor 17*o**3/2 - 201*o**2 - 569*o/2 - 75.
(o - 25)*(o + 1)*(17*o + 6)/2
Determine a so that 20*a**5 + 12*a**4 - 148*a**3 + 36*a**2 + 128*a - 48 = 0.
-3, -1, 2/5, 1, 2
What is y in -5*y**5 - 2150*y**4 - 347750*y**3 - 25187800*y**2 - 704399725*y - 1310796010 = 0?
-107, -2
Factor -2*c**4/7 - 1408*c**3/7 - 329940*c**2/7 - 25624400*c/7 + 25955750/7.
-2*(c - 1)*(c + 235)**3/7
Suppose -3*z**3/2 + 27*z**2/2 + 24*z - 90 = 0. Calculate z.
-3, 2, 10
What is h in 2*h**5/9 + 52*h**4/9 + 50*h**3/9 = 0?
-25, -1, 0
Find l such that -2*l**4/5 + 7*l**3/5 + 12*l**2/5 - 9*l = 0.
-5/2, 0, 3
Find d, given that -5*d**4 - 645*d**3 - 1265*d**2 + 645*d + 1270 = 0.
-127, -2, -1, 1
Factor -m**4/4 + 13*m**3/4 - 47*m**2/4 + 59*m/4 - 6.
-(m - 8)*(m - 3)*(m - 1)**2/4
Factor -r**2/6 - 7*r/2 + 23/3.
-(r - 2)*(r + 23)/6
Find s such that -3*s**3 - 831*s**2 - 57960*s - 57132 = 0.
-138, -1
Let 10*j**4 + 305*j**3 - 1560*j**2 + 545*j + 700 = 0. Calculate j.
-35, -1/2, 1, 4
Determine w, given that -48*w**3 + 8808*w**2 + 4413*w + 552 = 0.
-1/4, 184
Factor 2*m**4/13 - 4*m**3/13 - 22*m**2/13 + 24*m/13.
2*m*(m - 4)*(m - 1)*(m + 3)/13
Let 2*s**2 - 12*s - 110 = 0. Calculate s.
-5, 11
Suppose 2*k**5/15 - 4*k**4/5 + 8*k**3/5 - 4*k**2/3 + 2*k/5 = 0. What is k?
0, 1, 3
Find d such that -2*d**2 - 10*d + 12 = 0.
-6, 1
Factor 2*b**4/13 - 4*b**3 + 384*b**2/13 - 576*b/13.
2*b*(b - 12)**2*(b - 2)/13
Factor -2*r**3/5 + 606*r**2/5.
-2*r**2*(r - 303)/5
Factor -o**5/4 - 5*o**4/4 - 9*o**3/4 - 7*o**2/4 - o/2.
-o*(o + 1)**3*(o + 2)/4
Factor -f**4 - 30*f**3 - 293*f**2 - 984*f - 720.
-(f + 1)*(f + 5)*(f + 12)**2
Solve -d**4/3 + 183*d**3/2 - 682*d**2/3 + 363*d/2 - 136/3 = 0.
1/2, 1, 272
Factor 2*d**2/3 - 1034*d + 3096.
2*(d - 1548)*(d - 3)/3
Factor 4*j**2/3 - 44*j/3 + 24.
4*(j - 9)*(j - 2)/3
Determine u so that 36*u**5/7 + 186*u**4/7 + 234*u**3/7 - 24*u**2/7 - 72*u/7 = 0.
-3, -2, -2/3, 0, 1/2
Factor -l**4/8 + 5*l**3/4 - 7*l**2/2 + 3*l.
-l*(l - 6)*(l - 2)**2/8
Let -m**3/5 - 16*m**2/5 + m/5 + 16/5 = 0. What is m?
-16, -1, 1
What is z in 3*z**3/2 + 21*z**2/2 - 207*z/2 + 351/2 = 0?
-13, 3
Factor 4*p**2 + 47000*p + 138062500.
4*(p + 5875)**2
Solve 12*j**5 - 124*j**4 - 568*j**3 - 656*j**2 - 224*j = 0.
-2, -1, -2/3, 0, 14
Find h, given that -2*h**5/15 - 2*h**4/3 + 16*h**3/15 + 88*h**2/15 - 64*h/15 - 128/15 = 0.
-4, -1, 2
Find c such that c**4/2 - 3*c**2/2 + c = 0.
-2, 0, 1
Factor q**2 + 6*q/5 - 8/5.
(q + 2)*(5*q - 4)/5
What is d in -2*d**3 - 54*d**2 - 192*d - 184 = 0?
-23, -2
Determine f, given that 32*f**4/5 + 52*f**3/5 - 404*f**2/5 - 1096*f/5 - 672/5 = 0.
-21/8, -2, -1, 4
Let 2*s**3/3 + 68*s**2/3 + 640*s/3 + 1024/3 = 0. What is s?
-16, -2
Factor d**4/5 - 3*d**3/5 - 4*d**2/5.
d**2*(d - 4)*(d + 1)/5
Find p such that p**3/3 + 49*p**2/3 + 800*p/3 + 4352/3 = 0.
-17, -16
Determine h, given that 4*h**4 - 292*h**3 + 556*h**2 + 852*h = 0.
-1, 0, 3, 71
Find l such that 8*l**4 + 4*l**3 - 52*l**2 + 24*l = 0.
-3, 0, 1/2, 2
Find j such that 22*j**4/7 + 334*j**3/7 + 852*j**2/7 + 144*j/7 = 0.
-12, -3, -2/11, 0
Solve -t**5 - 12*t**4 - 21*t**3 + 82*t**2 + 276*t + 216 = 0 for t.
-9, -2, 3
Solve -u**5 - 37*u**4/3 + 5*u**3/3 + 185*u**2/3 - 74*u + 24 = 0 for u.
-12, -3, 2/3, 1
Determine j, given that j**3/3 - 52*j**2/3 - j/3 + 52/3 = 0.
-1, 1, 52
Suppose 3*g**2 - 336*g = 0. Calculate g.
0, 112
Find g, given that g**3/10 + 3*g**2/5 - 51*g/10 + 22/5 = 0.
-11, 1, 4
Suppose d**2 - 752*d + 1500 = 0. What is d?
2, 750
Factor -2*h**4/5 - 12*h**3/5 - 2*h**2/5 + 48*h/5 - 32/5.
-2*(h - 1)**2*(h + 4)**2/5
Solve -4*f**3 - 120*f**2 + 2884*f - 2760 = 0.
-46, 1, 15
Determine r so that 5*r**2 - 180*r + 1620 = 0.
18
Let 4*k**3 + 84*k**2 - 4*k - 84 = 0. What is k?
-21, -1, 1
Factor u**4/9 + 7*u**3/3 + 11*u**2 + 15*u.
u*(u + 3)**2*(u + 15)/9
Factor 4*w**2 + 4264*w + 1136356.
4*(w + 533)**2
Factor d**4 + 15*d**3 + 53*d**2 + 21*d - 90.
(d - 1)*(d + 3)**2*(d + 10)
Suppose 3*r**3/4 + 9*r**2/4 - 135*r = 0. Calculate r.
-15, 0, 12
Factor v**3/9 + 89*v**2/3 - 181*v + 273.
(v - 3)**2*(v + 273)/9
Factor t**3/6 - 7*t**2/6 - t/6 + 7/6.
(t - 7)*(t - 1)*(t + 1)/6
Suppose -o**5 + 46*o**4/3 - 37*o**3/3 - 1066*o**2/3 - 1580*o/3 - 200 = 0. Calculate o.
-3, -1, -2/3, 10
Determine g so that -14*g**4 + 48*g**3 + 920*g**2 = 0.
-46/7, 0, 10
Solve 2*n**4 + 18*n**3 - 68*n**2 + 48*n = 0 for n.
-12, 0, 1, 2
Determine a so that 6*a**3 + 260*a**2 + 86*a = 0.
-43, -1/3, 0
Solve 7*f**4 + 16*f**3 + 4*f**2 = 0 for f.
-2, -2/7, 0
Solve -2*m**4/3 + 10*m**3/3 + 92*m**2 - 296*m/3 - 560/3 = 0.
-10, -1, 2, 14
Find u, given that -5*u**3 + 5*u**2 + 40*u - 60 = 0.
-3, 2
Find a such that a**4/3 + 11*a**3 - 75*a**2 + 117*a = 0.
-39, 0, 3
Suppose 5*h**2 - 155*h = 0. What is h?
0, 31
Factor z**4 - 21*z**3 - 97*z**2 - 75*z.
z*(z - 25)*(z + 1)*(z + 3)
Factor 5*b**3 - 50*b**2 + 55*b + 350.
5*(b - 7)*(b - 5)*(b + 2)
Factor -l**2/6 - 20*l/3 + 14.
-(l - 2)*(l + 42)/6
Factor 2*c**4 - 68*c**3 - 70*c**2.
2*c**2*(c - 35)*(c + 1)
Solve -g**5/3 - 56*g**4/3 - 242*g**3 + 1624*g**2/3 - 841*g/3 = 0 for g.
-29, 0, 1
Solve 2*x**5/7 + 26*x**4/7 + 88*x**3/7 - 32*x**2/7 - 384*x/7 - 288/7 = 0.
-6, -2, -1, 2
What is b in -2*b**3/9 + 9592*b**2/9 - 11500808*b/9 = 0?
0, 2398
Determine y so that 7*y**4 - 159*y**3 + 780*y**2 - 436*y - 192 = 0.
-2/7, 1, 6, 16
Find i, given that -2*i**5/11 + 92*i**4/11 - 950*i**3/11 - 252*i**2 + 5184*i/11 + 6912/11 = 0.
-3, -1, 2, 24
Solve -28*w**3 + 260*w**2 - 296*w + 64 = 0.
2/7, 1, 8
What is c in -c**3/5 - 16*c**2 + 336*c/5 = 0?
-84, 0, 4
Suppose m**4/2 + 251*m**3 + 31994*m**2 + 122757*m - 310005/2 = 0. Calculate m.
-249, -5, 1
Let -3*l**2/5 + 2232*l/5 - 415152/5 = 0. Calculate l.
372
Solve -b**3/4 - 37*b**2/4 + 19*b/2 = 0 for b.
-38, 0, 1
Factor 28*y**3/5 + 356*y**2/5 + 232*y/5 - 96/5.
4*(y + 1)*(y + 12)*(7*y - 2)/5
Factor 2*i**2/9 - 1196*i/9.
2*i*(i - 598)/9
Factor 3*p**2/2 - 219*p/2.
3*p*(p - 73)/2
Suppose -38*p**2 + 268*p - 14 = 0. What is p?
1/19, 7
Suppose w**3/5 + w**2 + 2*w/5 - 8/5 = 0. Calculate w.
-4, -2, 1
Let 5*y**2 + 1040*y - 2100 = 0. Calculate y.
-210, 2
Let 28*j**3/5 + 152*j**2/5 + 44*j/5 - 16 = 0. Calculate j.
-5, -1, 4/7
Factor 4*x**3 - 936*x**2 - 948*x + 1880.
4*(x - 235)*(x - 1)*(x + 2)
Factor 2*p**4 - 8*p**3 - 14*p**2 + 20*p.
2*p*(p - 5)*(p - 1)*(p + 2)
Find z such that 86*z**5 - 6*z**4 = 0.
0, 3/43
Suppose -4*u**4 + 4*u**3 + 16*u**2 - 16*u = 0. What is u?
-2, 0, 1, 2
What is g in g**