0. Calculate a.
-1, -2/11, 0, 1/2, 4
Factor -p**2 + 4050*p - 4100625.
-(p - 2025)**2
Factor -3*k**3/5 + 192*k**2/5 - 3696*k/5 + 18816/5.
-3*(k - 28)**2*(k - 8)/5
Solve 5*c**2/2 - 205*c/2 - 705 = 0 for c.
-6, 47
Factor -o**3/3 + 49*o**2 - 97*o + 145/3.
-(o - 145)*(o - 1)**2/3
Let -2*o**5/17 + 12*o**4/17 - 18*o**3/17 + 8*o**2/17 = 0. What is o?
0, 1, 4
Suppose -27*c**5/4 - 42*c**4 - 171*c**3/4 - 15*c**2/2 = 0. Calculate c.
-5, -1, -2/9, 0
Determine o, given that -o**3 - 16*o**2 - 29*o - 14 = 0.
-14, -1
Factor -f**2 + 541*f - 540.
-(f - 540)*(f - 1)
Factor 3*g**2/2 - 300*g + 597/2.
3*(g - 199)*(g - 1)/2
Factor z**4/5 - 3*z**3/5 - 122*z**2/5 + 96*z + 1408/5.
(z - 8)**2*(z + 2)*(z + 11)/5
Solve 7*m**4/4 - 1629*m**3/4 - 473*m**2/4 + 1629*m/4 + 233/2 = 0.
-1, -2/7, 1, 233
Factor -4*i**2 + 164*i.
-4*i*(i - 41)
Factor -t**2 + 582*t - 84681.
-(t - 291)**2
Solve -v**2 + 21*v + 22 = 0.
-1, 22
What is w in 111*w**4 - 1001*w**3/3 + 335*w**2 - 113*w + 2/3 = 0?
2/333, 1
Suppose -864*w**5 - 15120*w**4 - 96840*w**3 - 270940*w**2 - 307520*w - 119164 = 0. What is w?
-31/6, -1
What is k in -5*k**4 + 55*k**3/6 - 25*k**2/6 = 0?
0, 5/6, 1
Factor -q**2/3 - 301*q/3 - 598/3.
-(q + 2)*(q + 299)/3
Find r, given that -4*r**2 - 156*r = 0.
-39, 0
Determine f so that -3*f**4/5 - 6*f**3 - 9*f**2 + 6*f + 48/5 = 0.
-8, -2, -1, 1
Find j, given that 4*j**5 + 96*j**4 + 164*j**3 - 296*j**2 - 720*j - 352 = 0.
-22, -2, -1, 2
Factor 7*x**5 + 9*x**4 - 33*x**3 + 11*x**2 + 6*x.
x*(x - 1)**2*(x + 3)*(7*x + 2)
Let -2*l**3/9 + 64*l**2/9 - 512*l/9 = 0. What is l?
0, 16
Solve -321*m**2 + 969*m - 18 = 0 for m.
2/107, 3
Solve 2*f**3/7 + 2*f**2 = 0.
-7, 0
Factor s**2/2 + 78*s + 3042.
(s + 78)**2/2
Find f, given that f**2 + 36*f + 128 = 0.
-32, -4
Find c, given that c**2 - 9*c - 70 = 0.
-5, 14
Solve 2*c**5/3 + 22*c**4 + 734*c**3/3 + 906*c**2 - 1672*c/3 - 4840 = 0 for c.
-11, -10, -3, 2
Factor m**4/2 - 19*m**3/6 + 5*m**2 - 4*m/3.
m*(m - 4)*(m - 2)*(3*m - 1)/6
Factor r**4/5 + 178*r**3/5 + 8096*r**2/5 + 15488*r/5.
r*(r + 2)*(r + 88)**2/5
Factor -l**4/2 - 5*l**3 - 4*l**2 + 32*l.
-l*(l - 2)*(l + 4)*(l + 8)/2
Factor 4*r**3 + 408*r**2 + 10404*r.
4*r*(r + 51)**2
Factor -22*z**2/5 - 8*z + 8/5.
-2*(z + 2)*(11*z - 2)/5
Determine m so that 3*m**3 + 18*m**2 - 27*m - 42 = 0.
-7, -1, 2
Find h, given that -3*h**4/4 - 24*h**3 - 93*h**2/4 = 0.
-31, -1, 0
Factor 8*u**4 - 262*u**3 + 654*u**2 + 180*u.
2*u*(u - 30)*(u - 3)*(4*u + 1)
Factor -2*j**3/3 - 112*j**2/3 - 1178*j/3 + 3844.
-2*(j - 6)*(j + 31)**2/3
Factor 5*w**2 - 8920*w + 8915.
5*(w - 1783)*(w - 1)
Suppose -2*q**2 - 70*q + 148 = 0. Calculate q.
-37, 2
Factor -3*k**2/5 + 11664*k/5 - 11337408/5.
-3*(k - 1944)**2/5
Let -2*i**3/11 - 28*i**2/11 - 130*i/11 - 200/11 = 0. What is i?
-5, -4
Determine l, given that -l**2/5 - 7*l/5 - 6/5 = 0.
-6, -1
Find i, given that i**2/4 + 9*i + 81 = 0.
-18
Let n**3/7 + 174*n**2/7 - 351*n/7 + 176/7 = 0. Calculate n.
-176, 1
Factor -v**2/5 - 14688*v/5 - 53934336/5.
-(v + 7344)**2/5
Find i such that 7*i**5/2 + 69*i**4 + 597*i**3/2 - 91*i**2 = 0.
-13, -7, 0, 2/7
Solve -2*b**2/7 - 2*b/7 + 4/7 = 0.
-2, 1
Determine u, given that -u**3/6 + 49*u**2/3 - 187*u/2 + 138 = 0.
3, 92
Solve -20*z**5 - 32*z**4 + 48*z**3 + 136*z**2 + 100*z + 24 = 0.
-1, -3/5, 2
Determine v, given that v**5/6 - 7*v**4/6 + 13*v**3/6 + v**2/2 - 3*v = 0.
-1, 0, 2, 3
Let -2*t**2 - 32*t/3 - 10/3 = 0. Calculate t.
-5, -1/3
Suppose 4*s**3 - 568*s**2 - 572*s = 0. Calculate s.
-1, 0, 143
Factor 2*s**2/3 - 902*s/3 + 896.
2*(s - 448)*(s - 3)/3
Factor 5*r**2 - 4250*r + 4245.
5*(r - 849)*(r - 1)
Factor -2*t**4/13 + 1980*t**3/13 - 1978*t**2/13.
-2*t**2*(t - 989)*(t - 1)/13
Factor u**3/2 + 32*u**2.
u**2*(u + 64)/2
Factor 5*v**2 + 90*v + 280.
5*(v + 4)*(v + 14)
Solve -5*q**2 - 27060*q = 0 for q.
-5412, 0
Factor h**4/2 + 5*h**3 + 29*h**2/2 + 16*h + 6.
(h + 1)**2*(h + 2)*(h + 6)/2
Solve 5*b**2 - 155*b + 150 = 0.
1, 30
Factor y**2/2 - 47*y/2 - 24.
(y - 48)*(y + 1)/2
Suppose 6*z**2/11 + z - 205/11 = 0. Calculate z.
-41/6, 5
Determine y so that -2*y**3/5 - 62*y**2/5 - 172*y/5 - 112/5 = 0.
-28, -2, -1
Factor 3*w**5/5 - 192*w**4/5 - 39*w**3.
3*w**3*(w - 65)*(w + 1)/5
Let -119*m**4 + 209*m**3 + 244*m**2 - 84*m = 0. Calculate m.
-1, 0, 2/7, 42/17
Factor -3*z**2/2 - 17*z/4.
-z*(6*z + 17)/4
Determine y, given that y**2 + y - 30 = 0.
-6, 5
Factor -h**2/7 - 460*h/7 - 52900/7.
-(h + 230)**2/7
Let -5*t**3 + 25*t**2 - 40*t + 20 = 0. What is t?
1, 2
Solve -s**5/2 + 77*s**4/6 - 25*s**3/3 = 0 for s.
0, 2/3, 25
Factor -2*f**2 - 1892*f + 3792.
-2*(f - 2)*(f + 948)
What is y in 8*y**5 - 128*y**4 + 714*y**3 - 1674*y**2 + 1728*y - 648 = 0?
1, 3/2, 6
Factor 3*l**4 - 111*l**3 + 294*l**2 + 408*l.
3*l*(l - 34)*(l - 4)*(l + 1)
What is b in 4*b**3 + 316*b**2 + 7936*b + 61440 = 0?
-32, -15
What is j in 98*j**4 + 630*j**3 + 792*j**2 - 616*j + 96 = 0?
-4, -3, 2/7
Factor -5*u**2 - 155*u.
-5*u*(u + 31)
Factor 11*b**2/2 + 49*b.
b*(11*b + 98)/2
Solve -3*o**3 - 84*o**2 - 213*o + 300 = 0.
-25, -4, 1
Factor -3*t**3/4 - 111*t**2/4 + 498*t + 525.
-3*(t - 14)*(t + 1)*(t + 50)/4
Suppose 2060450*h**4/3 + 373520*h**3 + 136112*h**2/3 - 1472*h + 32/3 = 0. Calculate h.
-2/7, 2/145
Determine p so that -2*p**3/9 + 14*p**2/9 - 4*p/3 = 0.
0, 1, 6
Determine l so that -2*l**2 + 5656*l - 3998792 = 0.
1414
Let -7*i**3/3 + 67*i**2 - 320*i/3 - 36 = 0. Calculate i.
-2/7, 2, 27
Solve -3*y**3/4 - 96*y**2 - 3072*y = 0 for y.
-64, 0
Find f such that 134*f**2/9 - 4*f/9 = 0.
0, 2/67
Factor -j**3/2 - j**2 - j/2.
-j*(j + 1)**2/2
Factor 2*c**3 + 30*c**2 + 124*c + 96.
2*(c + 1)*(c + 6)*(c + 8)
Factor 103*t**2 + 616*t - 12.
(t + 6)*(103*t - 2)
Determine o so that o**3/5 - 27*o**2/5 + 74*o/5 - 48/5 = 0.
1, 2, 24
Solve -5*p**5/3 + 300*p**4 + 5*p**3/3 - 300*p**2 = 0.
-1, 0, 1, 180
What is b in b**5/3 + b**4 - 11*b**3/3 - b**2 + 10*b/3 = 0?
-5, -1, 0, 1, 2
Determine a so that -a**4 + 5*a**3/2 - a**2/2 - a = 0.
-1/2, 0, 1, 2
Factor 2*p**2/13 - 362*p/13 - 28.
2*(p - 182)*(p + 1)/13
Suppose -h**3 - 20*h**2 - 103*h - 84 = 0. What is h?
-12, -7, -1
Solve -3*j**3 + 369*j**2 + 774*j - 3000 = 0.
-4, 2, 125
Determine t, given that 3*t**5 + 459*t**4 + 12105*t**3 - 414507*t**2 + 2672640*t - 2270700 = 0.
-87, 1, 10
Factor -9*d**4 - 30*d**3 - 27*d**2 - 6*d.
-3*d*(d + 1)*(d + 2)*(3*d + 1)
Solve -45*g**4 - 456*g**3 + 120*g**2 + 1824*g + 240 = 0 for g.
-10, -2, -2/15, 2
Factor 5*u**2/4 + 440*u + 38720.
5*(u + 176)**2/4
Find b such that -12*b**4/5 - 52*b**3/5 - 52*b**2/5 - 12*b/5 = 0.
-3, -1, -1/3, 0
Factor -3*j**2/2 + 183*j/2 - 261.
-3*(j - 58)*(j - 3)/2
Suppose -2*u**4 - 4346*u**3 + 8698*u**2 - 4350*u = 0. Calculate u.
-2175, 0, 1
Factor -45*f**4 + 60*f**3 + 55*f**2 + 10*f.
-5*f*(f - 2)*(3*f + 1)**2
Find s, given that 2*s**3/9 - 4*s**2/3 - 338*s/9 - 68 = 0.
-9, -2, 17
Solve 2*o**2 - 32*o - 210 = 0.
-5, 21
Let 6*d**2/5 - 318*d/5 + 312/5 = 0. Calculate d.
1, 52
Factor 2*a**3/9 - 124*a**2/9 - 8*a/9 + 496/9.
2*(a - 62)*(a - 2)*(a + 2)/9
Suppose v**3 + 3*v**2 - 9*v + 5 = 0. Calculate v.
-5, 1
Factor -4*u**2/7 + 20*u - 136/7.
-4*(u - 34)*(u - 1)/7
Solve -20*t**4 + 4*t**3 = 0 for t.
0, 1/5
Factor b**5 + 20*b**4 - 92*b**3 + 96*b**2.
b**2*(b - 2)**2*(b + 24)
Solve -a**2/2 - a = 0 for a.
-2, 0
Let 6*z**2/5 - 960*z + 192000 = 0. Calculate z.
400
Factor -h**5/5 + 3*h**4/5 + 6*h**3/5 - 26*h**2/5 + 27*h/5 - 9/5.
-(h - 3)*(h - 1)**3*(h + 3)/5
Factor 3*l**2/2 - 330*l - 663/2.
3*(l - 221)*(l + 1)/2
Suppose 2*t**4/3 - 4*t**3/3 = 0. What is t?
0, 2
Factor -l**4 - 67*l**3 - 66*l**2.
-l**2*(l + 1)*(l + 66)
Factor 14*p**3 - 206*p**2 + 444*p + 144.
2*(p - 12)*(p - 3)*(7*p + 2)
What is r in r**5/12 - 2*r**4 + 43*r**3/3 - 81*r**2/2 + 547*r/12 - 35/2 = 0?
1, 3, 5, 14
Factor -2*n**3/5 + 18*n**2/5 - 16*n/5.
-2*n*(n - 8)*(n - 1)/5
Solve -4*f**2 - 320*f - 1216 = 0 for f.
-76, -4
Factor l**5 - 53*l**4 + 102*l**3 + 2*l**2 - 103*l + 51.
(l - 51)*(l - 1)**3*(l + 1)
Factor -b**2/9 + b + 442/9.
-(b - 26)*(b + 17)/9
Factor -2*n**3/5 + 72*n**2/5 + 314*n/5 + 48.
-2*(n - 40)*(n + 1)*(n + 3)/5
Let 5*h**4 - 15*h**3 - 45*h**2 - 25*h = 0. Calculate h.
-1, 0, 5
Factor z**2/10 - 101*z/10 + 534/5.
(z - 89)*(z - 12)/10
Factor -2*d**4/13 - 14*d**3 - 358*d**2/13 - 178*d/13.
-2*d*(d + 1)**2*(d + 89)/13
Determine g, given that 2*g**5/7 - 5*g**4/7 - 3*g**3/7 + 8*g**2/7 + 4*g/7 = 0.
-1, -1/2, 0, 2
Solve 21*k**4 + 141*k**3