hat -14*a**5/5 - 192*a**4/5 - 126*a**3 + 196*a**2/5 = 0.
-7, 0, 2/7
Let -k**4/4 - 19*k**3/4 + 87*k**2/2 + 944*k + 896 = 0. What is k?
-16, -1, 14
Solve 2*q**5/7 + 8*q**4/7 - 4*q**2 - 34*q/7 - 12/7 = 0.
-3, -1, 2
Factor 4*x**3/5 - 84*x**2/5 + 96*x - 80.
4*(x - 10)**2*(x - 1)/5
Determine u, given that 4*u**3 + 132*u**2 + 252*u + 124 = 0.
-31, -1
Factor 3*h**3/4 - 15*h**2/4 - 39*h/4 - 21/4.
3*(h - 7)*(h + 1)**2/4
Let -4*o**3 + 13*o**2 - 11*o + 2 = 0. Calculate o.
1/4, 1, 2
Factor -v**5 - 3*v**4 + 4*v**3 + 16*v**2 - 16.
-(v - 2)*(v - 1)*(v + 2)**3
Factor q**2/7 - 125*q/7 - 18.
(q - 126)*(q + 1)/7
Suppose 6*q**2 - 22*q + 12 = 0. Calculate q.
2/3, 3
Factor -4*k**2 + 104*k + 224.
-4*(k - 28)*(k + 2)
Suppose 2*c**5/7 - 18*c**3/7 - 8*c**2/7 + 24*c/7 = 0. Calculate c.
-2, 0, 1, 3
Find h, given that 10*h**4 + 302*h**3 - 1232*h**2/5 + 248*h/5 = 0.
-31, 0, 2/5
Factor -2*i**2/13 - 88*i/13 - 86/13.
-2*(i + 1)*(i + 43)/13
Solve 890*v**3/7 - 2*v**2/7 = 0.
0, 1/445
Factor -5*f**4 + 20*f**3 + 240*f**2 + 560*f + 400.
-5*(f - 10)*(f + 2)**3
Factor -y**2/2 + 680*y - 231200.
-(y - 680)**2/2
Factor -2*m**5 + 536*m**4 - 48584*m**3 + 1550912*m**2 - 5637632*m + 5451776.
-2*(m - 88)**3*(m - 2)**2
Factor -297*s**2/2 + 117*s/2 - 3.
-3*(3*s - 1)*(33*s - 2)/2
Factor -5*g**4/6 - 13*g**3/6 + g**2.
-g**2*(g + 3)*(5*g - 2)/6
Solve -5*b**2/3 - 20*b + 1100/3 = 0.
-22, 10
Factor 3*d**2/2 + 4947*d + 8157603/2.
3*(d + 1649)**2/2
Factor 3*r**3 - 21*r**2 - 120*r - 132.
3*(r - 11)*(r + 2)**2
Factor 5832*d**3 + 12636*d**2 + 9126*d + 2197.
(18*d + 13)**3
Factor -4*u**3 - 20*u**2 + 32*u + 192.
-4*(u - 3)*(u + 4)**2
Factor 2*u**3 + 4*u**2 - 2*u - 4.
2*(u - 1)*(u + 1)*(u + 2)
Solve 2*c**3/19 - 2*c**2 + 230*c/19 - 450/19 = 0 for c.
5, 9
Determine b so that -3*b**4 + 65*b**3 + 96*b**2 - 92*b = 0.
-2, 0, 2/3, 23
Solve 5*d**3 + 80*d**2 + 215*d - 300 = 0 for d.
-12, -5, 1
Suppose -2*o**2 - 8*o - 8 = 0. Calculate o.
-2
Factor 4*g**3 + 88*g**2 + 420*g.
4*g*(g + 7)*(g + 15)
What is a in -3*a**4 + 342*a**3 - 675*a**2 + 336*a = 0?
0, 1, 112
Find n such that -36*n**5 + 68*n**4 + 260*n**3 - 692*n**2 + 352*n + 48 = 0.
-3, -1/9, 1, 2
Let -2*n**5/3 + 336*n**4 - 124978*n**3/3 - 511052*n**2/3 - 214376*n - 258064/3 = 0. Calculate n.
-2, -1, 254
Determine o so that 3*o**3/7 + 66*o**2/7 + 177*o/7 + 114/7 = 0.
-19, -2, -1
Determine i so that -10*i**3 + 56*i**2 + 24*i = 0.
-2/5, 0, 6
Factor -i**2 + 2*i + 48.
-(i - 8)*(i + 6)
Factor o**2 + 35*o.
o*(o + 35)
Factor -2*d**3 - 24*d**2 + 120*d - 128.
-2*(d - 2)**2*(d + 16)
Determine q so that -38*q**4/3 - 18*q**3 + 22*q**2/3 + 18*q + 16/3 = 0.
-1, -8/19, 1
Suppose 2*y**2 - 454*y = 0. Calculate y.
0, 227
Suppose 3*d**3 - 324*d**2 + 9063*d - 16854 = 0. Calculate d.
2, 53
Find q such that -5*q**5 - 5*q**4 + 115*q**3 - 195*q**2 + 90*q = 0.
-6, 0, 1, 3
Factor f**2 - 760*f.
f*(f - 760)
Determine u, given that 3*u**4 - 240*u**3 + 5664*u**2 - 34560*u + 62208 = 0.
4, 36
What is d in d**5/2 - 7*d**4 + 73*d**3/2 - 84*d**2 + 72*d = 0?
0, 3, 4
Find k such that -k**2 - 6*k = 0.
-6, 0
Determine a so that -5*a**3/2 - 15*a**2 + 80 = 0.
-4, 2
Find o, given that -2*o**4/13 + 112*o**3/13 - 214*o**2/13 - 112*o/13 + 216/13 = 0.
-1, 1, 2, 54
Factor -h**2/3 - 25*h/3 - 42.
-(h + 7)*(h + 18)/3
Factor i**2/3 - 7*i - 46/3.
(i - 23)*(i + 2)/3
Determine a, given that -4*a**2 + 1024*a - 65536 = 0.
128
Suppose -2*d**2/3 + 98*d/3 + 104 = 0. What is d?
-3, 52
Suppose 2*n**4 - 36*n**3 - 122*n**2 - 84*n = 0. What is n?
-2, -1, 0, 21
Factor 4*b**2 - 3308*b + 3304.
4*(b - 826)*(b - 1)
Determine g, given that -6*g**2 + 41*g + 7 = 0.
-1/6, 7
Solve -4*y**2 + 8*y + 60 = 0 for y.
-3, 5
Factor -p**4/2 - 2*p**3 + 7*p**2/2 + 5*p.
-p*(p - 2)*(p + 1)*(p + 5)/2
Factor -l**3 - 60*l**2 - 117*l - 58.
-(l + 1)**2*(l + 58)
Determine x, given that -4*x**5 + 119*x**4 - 982*x**3 + 1427*x**2 - 364*x - 196 = 0.
-1/4, 1, 14
Suppose -5*a**2 - 230*a - 2645 = 0. Calculate a.
-23
What is l in -3*l**4 + 30*l**3 - 27*l**2 = 0?
0, 1, 9
Determine a, given that 20*a**4 + 75*a**3 - 290*a**2 - 75*a + 270 = 0.
-6, -1, 1, 9/4
Factor 2*j**2/11 - 60*j/11.
2*j*(j - 30)/11
Determine f, given that 2*f**5/3 + 10*f**4/3 - 106*f**3/3 - 34*f**2/3 + 280*f/3 + 200/3 = 0.
-10, -1, 2, 5
Factor -2*b**4 + 56*b**3 - 52*b**2 - 56*b + 54.
-2*(b - 27)*(b - 1)**2*(b + 1)
Find h such that -3*h**3 + 186*h**2 - 1131*h - 1320 = 0.
-1, 8, 55
Find y, given that -6*y**2 + 10504*y + 3502 = 0.
-1/3, 1751
Factor -2*c**2 + 250*c + 252.
-2*(c - 126)*(c + 1)
Solve w**3/9 + 10*w**2/9 - 109*w/9 + 170/9 = 0 for w.
-17, 2, 5
Let -j**4/6 + 65*j**3/6 - 61*j**2 + 358*j/3 - 236/3 = 0. What is j?
2, 59
Suppose f**2/2 + 11*f - 23/2 = 0. What is f?
-23, 1
Find t such that 3*t**2 - 36*t + 81 = 0.
3, 9
Factor -q**3 - q**2 + 16*q - 20.
-(q - 2)**2*(q + 5)
Factor 35*i**3 + 6990*i**2 + 4965*i - 1990.
5*(i + 1)*(i + 199)*(7*i - 2)
Find l such that -2*l**2/3 + 16*l = 0.
0, 24
Determine i, given that 21*i**4/5 - 132*i**3/5 + 36*i**2/5 + 672*i/5 - 192/5 = 0.
-2, 2/7, 4
Determine l, given that 20*l**4 - 172*l**3 + 208*l**2 + 112*l = 0.
-2/5, 0, 2, 7
Find w such that -w**4 + 2*w**3 + 7*w**2 + 4*w = 0.
-1, 0, 4
Factor 95*o**4 + 90*o**3 - 5*o**2.
5*o**2*(o + 1)*(19*o - 1)
Factor -r**2/2 - 7*r/2 - 5.
-(r + 2)*(r + 5)/2
Let 5*s**2 - 20690*s + 21403805 = 0. What is s?
2069
Find z such that -3*z**2 + 207*z + 1596 = 0.
-7, 76
Determine j, given that 9*j**4 + 110*j**3 - 363*j**2 + 184*j + 60 = 0.
-15, -2/9, 1, 2
Solve 3*j**3/5 - 171*j**2/5 + 189*j + 9555 = 0.
-13, 35
Factor b**5/4 + 5*b**4/4 - 13*b**3/4 + 7*b**2/4.
b**2*(b - 1)**2*(b + 7)/4
Determine u so that u**2/3 - 19*u/3 - 14 = 0.
-2, 21
Solve -5*q**5/4 - 85*q**4/4 - 315*q**3/4 + 405*q**2/4 = 0 for q.
-9, 0, 1
Let 3*s**5 - 5*s**4 - 23*s**3 - 19*s**2 - 4*s = 0. Calculate s.
-1, -1/3, 0, 4
Solve -j**3/7 - 480*j**2/7 + 963*j/7 - 482/7 = 0.
-482, 1
Factor 2*t**5 - 10*t**4/3 + 4*t**3/3.
2*t**3*(t - 1)*(3*t - 2)/3
Factor -l**2/5 - 158*l/5.
-l*(l + 158)/5
Factor -2*d**3/13 - 4*d**2/13 + 2*d/13 + 4/13.
-2*(d - 1)*(d + 1)*(d + 2)/13
Factor 26*p**2/7 - 124*p/7 - 30/7.
2*(p - 5)*(13*p + 3)/7
Find o, given that 5*o**2 - 50*o + 80 = 0.
2, 8
Factor 2*v**4 + 58*v**3 + 168*v**2 - 928*v - 3200.
2*(v - 4)*(v + 4)**2*(v + 25)
Factor 2*x**4/3 + 2*x**3 - 22*x**2 + 106*x/3 - 16.
2*(x - 3)*(x - 1)**2*(x + 8)/3
Suppose -7*b**5 - 3379*b**4 - 2401*b**3 + 4343*b**2 + 2408*b - 964 = 0. What is b?
-482, -1, 2/7, 1
Factor 13*d**4/5 - 38*d**3/5 + 36*d**2/5 - 2*d - 1/5.
(d - 1)**3*(13*d + 1)/5
Factor v**2/2 + 7*v/2 + 3.
(v + 1)*(v + 6)/2
What is l in -20*l**4/11 - 18*l**3/11 - 4*l**2/11 = 0?
-1/2, -2/5, 0
Solve k**2/6 + 19*k/2 - 63 = 0.
-63, 6
Factor -2*v**3/11 - 232*v**2 - 74008*v.
-2*v*(v + 638)**2/11
Solve w**2/10 - 91*w/5 + 8281/10 = 0.
91
Factor -3*z**3 - 51*z**2 - 180*z.
-3*z*(z + 5)*(z + 12)
Factor j**4/4 + 1161*j**3 + 2698163*j**2/2 + 2694681*j + 5387041/4.
(j + 1)**2*(j + 2321)**2/4
Suppose -5*d**4 - 334*d**3 + 752*d**2 - 482*d + 69 = 0. Calculate d.
-69, 1/5, 1
Determine w, given that -3*w**2/2 + 12*w - 24 = 0.
4
Factor -g**5/4 + 2*g**4 - 6*g**3 + 17*g**2/2 - 23*g/4 + 3/2.
-(g - 3)*(g - 2)*(g - 1)**3/4
Solve q**2 + 2*q - 3 = 0 for q.
-3, 1
Find s such that -2*s**2 - 48*s + 104 = 0.
-26, 2
What is c in c**2/6 + 19*c/3 - 525/2 = 0?
-63, 25
Let -6*j**4 + 993*j**3 + 498*j**2 = 0. Calculate j.
-1/2, 0, 166
Factor -b**2/2 + 2*b + 5/2.
-(b - 5)*(b + 1)/2
Determine j, given that -j**2/5 - 16*j/5 + 36/5 = 0.
-18, 2
Let 6*j**2 - 15*j - 99 = 0. Calculate j.
-3, 11/2
Factor 21*m**3 + 974*m**2 + 364*m - 184.
(m + 46)*(3*m + 2)*(7*m - 2)
Factor 2*u**3 - 36*u**2/5 - 66*u/5 - 4.
2*(u - 5)*(u + 1)*(5*u + 2)/5
Factor -2*u**2/17 + 4*u - 416/17.
-2*(u - 26)*(u - 8)/17
Factor 2*p**3 + 1072*p**2 + 3202*p + 2132.
2*(p + 1)*(p + 2)*(p + 533)
Factor q**4 - 2774*q**3 + 1923769*q**2.
q**2*(q - 1387)**2
Factor -2*u**2/9 - 8*u/3 - 64/9.
-2*(u + 4)*(u + 8)/9
Find p, given that -p**5/5 - 6*p**4/5 + 38*p**3/5 - 24*p**2/5 - 37*p/5 + 6 = 0.
-10, -1, 1, 3
Determine k so that 5*k**2/4 + 25*k + 255/4 = 0.
-17, -3
Suppose -v**5/11 - 21*v**4/11 - 155*v**3/11 - 439*v**2/11 - 168*v/11 + 784/11 = 0. Calculate v.
-7, -4, 1
Suppose 5*g**3 + 50*g**2 + 145*g + 100 = 0. What is g?
-5, -4, -1
Factor -s**5 - 3*s**4 + 20*s**3 + 48*s**2 - 64*s.
-s*(s - 4)*(s - 1)*(s + 4)**2
What is u in 2*u**3/5 + 124*u**2/5 + 358