/9*z**5 = 0. Calculate z.
-1, 0, 1
Let p = 3/2332 - -145/583. Let m(b) = b**3 + 5*b**2 + 5*b + 6. Let z be m(-4). Determine o, given that -p*o**4 - 3/4*o**3 + 3/4*o - 1/4*o**z + 1/2 = 0.
-2, -1, 1
Let c(k) = -8*k**4 + 4*k**3 + 12*k**2 - 4*k - 4. Let v(a) = -9*a**4 + 4*a**3 + 13*a**2 - 5*a - 5. Let r(p) = 5*c(p) - 4*v(p). Find i, given that r(i) = 0.
-1, 0, 2
Let 235/4*b**3 - 60*b + 80 - 15*b**4 + 5/4*b**5 - 65*b**2 = 0. Calculate b.
-1, 1, 4
Let v be (28/(-42))/(28/7170). Let d = v + 171. Factor d*c**2 - 6/7 + 4/7*c.
2*(c - 1)*(c + 3)/7
Let o = -10/123 + 17/41. Factor -o - 5/6*l + 1/6*l**3 - 1/2*l**2 + 1/6*l**4.
(l - 2)*(l + 1)**3/6
Let o be 700/245*7/2. Let x = 3 + -1. Solve -44 + o*f**3 + 16*f**x + 2*f + 23 + 17 = 0 for f.
-1, 2/5
Let y(k) be the second derivative of -1/240*k**5 + 0*k**2 - 2*k + 0*k**4 + 1/1440*k**6 + 1/6*k**3 + 0. Let p(c) be the second derivative of y(c). Factor p(f).
f*(f - 2)/4
Let h(y) be the second derivative of y**4/4 + 31*y**3/2 - 99*y**2 - 284*y. Determine i, given that h(i) = 0.
-33, 2
Suppose -204 = 5*y - 219. Suppose 3*m - 6 = 0, -7*z + 4*m = -y*z. Factor 3/7*u**3 - 6/7*u + 0 - 3/7*u**z.
3*u*(u - 2)*(u + 1)/7
Let h(k) be the third derivative of k**5/15 + 4*k**4 + 46*k**3/3 - 34*k**2. Factor h(v).
4*(v + 1)*(v + 23)
Suppose -2*l + 121 = -b + 131, 3*l + 20 = 4*b. Find v, given that -9/4*v**b + 3*v**3 + 3 - 3/4*v**4 - 3*v = 0.
-1, 1, 2
Let n be 1/(-3) + (4 - (-15)/(-9)). Let g(u) be the second derivative of -1/24*u**3 + 0*u**n - 5*u - 1/48*u**4 + 0. What is k in g(k) = 0?
-1, 0
Determine o so that -150/7*o**2 + 136/7*o - 18/7*o**5 + 34/7*o**3 - 40/7 + 38/7*o**4 = 0.
-2, 1, 10/9
Suppose -14/3*t**2 + 10/9*t**3 + 46/9*t - 16/9 + 2/9*t**4 = 0. What is t?
-8, 1
Let x(b) be the third derivative of -b**5/160 - 159*b**4/32 - 25281*b**3/16 + 311*b**2. Factor x(m).
-3*(m + 159)**2/8
Suppose -9/4*h**4 + 0 + 9/4*h**2 + 3/8*h - 3/8*h**3 = 0. What is h?
-1, -1/6, 0, 1
Let b = 102/71 + 58/355. Find n, given that -12/5*n**3 - 2/5*n + 0 - b*n**2 - 8/5*n**4 - 2/5*n**5 = 0.
-1, 0
Let h(t) be the second derivative of t**7/840 + t**6/80 - t**5/10 + t**4/12 - 17*t. Let o(f) be the third derivative of h(f). Factor o(y).
3*(y - 1)*(y + 4)
Let t be (-60)/(-33) - (-2)/11. Suppose g - 3*y = t + 4, -4*y = 0. Factor g*w**2 + 0*w - 2 + 4 - 8*w.
2*(w - 1)*(3*w - 1)
Suppose -5*o + 2*w = 2, -4*o - 2*w + 11 = 9. Let y(q) = 8*q + 4. Let d be y(o). What is t in -20*t + 33/2*t**2 + 8 - 5*t**3 + 1/2*t**d = 0?
1, 4
Let a(f) be the second derivative of -f**7/56 + 3*f**5/80 + 9*f + 3. Factor a(q).
-3*q**3*(q - 1)*(q + 1)/4
Let x(t) be the first derivative of t**6/450 - t**5/50 + 10*t**3/3 - 7. Let c(k) be the third derivative of x(k). What is y in c(y) = 0?
0, 3
Let p(s) be the second derivative of 3*s**5/80 + 11*s**4/96 + s**3/12 - 21*s**2/2 - 22*s. Let h(d) be the first derivative of p(d). Solve h(r) = 0 for r.
-1, -2/9
Factor 2/7*r**3 + 0 - 8/7*r**2 - 10/7*r.
2*r*(r - 5)*(r + 1)/7
Suppose 10 = 2*b - 2*w, 0 = 5*b + w + w - 11. Suppose 8 = g + b*g. Solve -3/2 - 1/2*l**g - 2*l = 0.
-3, -1
Let i = 98 - 94. Let x(g) be the third derivative of -1/12*g**i + 4*g**2 + 0*g**3 + 1/10*g**5 + 1/105*g**7 + 0 - 1/20*g**6 + 0*g. Factor x(f).
2*f*(f - 1)**3
Suppose -58 = 6*r - 70. Factor 0*f + 2/3*f**3 - 2/3*f**r + 0.
2*f**2*(f - 1)/3
Let z be ((3/9)/(4/48))/(10 + -8). Solve 0 - 5/6*a**z + 10/3*a = 0.
0, 4
Let a(z) be the third derivative of z**7/945 - 7*z**6/540 + z**5/54 + 7*z**4/108 - 2*z**3/9 + 2*z**2 - z. Find d, given that a(d) = 0.
-1, 1, 6
Let d be (150/48)/((-1470)/(-72) + -20). Let -6 - 3/2*h**2 + d*h = 0. What is h?
1, 4
Let b(k) be the second derivative of 5*k + 0 + 1/3*k**3 - 1/30*k**5 + 1/24*k**6 - 5/24*k**4 - 7/2*k**2. Let x(a) be the first derivative of b(a). Factor x(u).
(u - 1)*(u + 1)*(5*u - 2)
Determine g so that 178/3*g**2 - 1012/3*g - 8/3*g**3 + 242/3 = 0.
1/4, 11
Let q(u) be the second derivative of -5*u**2 + 1/16*u**5 + 32 - 2*u + 5/24*u**4 - 5/6*u**3. Solve q(t) = 0.
-2, 2
Find f, given that -12 - 4*f**2 - 88 + 8*f**2 = 0.
-5, 5
Suppose 0 = -3*c - 3*y - 33, 35 + 18 = -3*c + y. Let d = c - -18. Let -16*l**2 + 18*l - 3*l**5 - l**5 + 4*l**3 - 16*l**3 - d*l + 16*l**4 = 0. What is l?
-1, 0, 1, 2
Let j(k) be the third derivative of k**7/1995 - k**6/285 - k**5/114 - 2*k**2 + 3*k. Determine c, given that j(c) = 0.
-1, 0, 5
Let n(r) = -r**2 + 3*r - 3. Let c be n(4). Let w = 9 + c. What is f in -3 - f**2 + 9 - 3*f + 0*f**2 - w*f**2 = 0?
-2, 1
Let f = 162838/115 + -1416. Let d = f + 244/805. Factor 0 - 6/7*h**3 - d*h**4 - 6/7*h**2 - 2/7*h.
-2*h*(h + 1)**3/7
What is b in 1/4*b + 0 - 1/2*b**5 + 5/4*b**4 - 3/4*b**3 - 1/4*b**2 = 0?
-1/2, 0, 1
Let k(b) = b**2 + 168*b - 336. Let h be k(2). Let 25/7*n**5 - 20/7*n**h + 0 + 20/7*n**2 - 3*n**3 - 4/7*n = 0. What is n?
-1, 0, 2/5, 1
Factor -47*i**2 - 63*i**2 - 35*i**2 - 57*i**2 - 54*i + 156*i**2 - 8.
-2*(i + 1)*(23*i + 4)
Suppose 118/9*w**2 - 88/9 - 2/3*w**4 + 80/9*w - 56/9*w**3 = 0. Calculate w.
-11, -1, 2/3, 2
Factor 26*q - 13 - 10*q**2 - 73*q**3 + 71*q**3 - 1.
-2*(q - 1)**2*(q + 7)
Suppose -5*v = -8*v - 3*i + 24, -5*v = -4*i + 14. Find c such that -3/2*c + 3*c**v + 0 - 3/2*c**3 = 0.
0, 1
Suppose 478*z - 63 = 457*z. Determine m, given that 0 + 2/5*m**5 - 2/5*m**z - 14/5*m**4 + 14/5*m**2 + 0*m = 0.
-1, 0, 1, 7
Let z(r) be the third derivative of -r**5/36 + 25*r**4/24 + 15*r**3 - 2*r**2 + 234*r. Factor z(x).
-5*(x - 18)*(x + 3)/3
Let v be ((-1071)/595)/(3/(-5)). Let 2/3*i**2 - 1/3*i**v - 2/3 + 1/3*i = 0. What is i?
-1, 1, 2
Suppose v = -7 + 4. Let t = v - -3. Factor -1/3*c**3 - 1/3*c**4 + 0 + 0*c + t*c**2.
-c**3*(c + 1)/3
Factor -38/3*t + 38/3*t**3 + 37/3 - 12*t**2 - 1/3*t**4.
-(t - 37)*(t - 1)**2*(t + 1)/3
Let l be 3 + (-1 + 6)/(-5). Factor -8*s**2 + 4 - 10*s - 12 + 8*s**2 - l*s**2.
-2*(s + 1)*(s + 4)
Let q(h) be the first derivative of -h**6/6 + 3*h**5 - 43*h**4/4 - 49*h**3 + 184*h**2 - 192*h + 373. Factor q(p).
-(p - 8)**2*(p - 1)**2*(p + 3)
Factor 1/4*f**4 + 0 - 1/2*f**2 - 1/4*f**3 + 0*f.
f**2*(f - 2)*(f + 1)/4
Let h(q) be the first derivative of -q**6/12 + 3*q**5/8 - 5*q**4/8 + 5*q**3/12 + 5*q - 26. Let g(v) be the first derivative of h(v). Factor g(t).
-5*t*(t - 1)**3/2
Suppose -3*h + 53 = -7. Let w be (-87)/(-15) + (-16)/h. Find a, given that -3*a**3 + 365 - w*a**2 + 3*a + 4*a**2 - 364 = 0.
-1, -1/3, 1
Let r(s) be the second derivative of s**5/100 + s**4/15 + 2*s**3/15 - 96*s. Factor r(l).
l*(l + 2)**2/5
Suppose j - 12 = -3*g, -5*j - 2*g - 2*g + 60 = 0. Factor -2*y**5 + j*y + 13 - 9 - 8*y**4 - 2*y - 8*y**3 + 4*y**2.
-2*(y - 1)*(y + 1)**3*(y + 2)
Let n(q) be the second derivative of q**4/6 + 37*q**3/9 - 26*q**2/3 - 333*q. Determine x, given that n(x) = 0.
-13, 2/3
Let d(s) be the first derivative of 0*s - s**4 + 12 + 8/3*s**3 + 6*s**2. Solve d(y) = 0.
-1, 0, 3
Let y(s) be the third derivative of 2*s**2 + 1/560*s**7 - 5/24*s**4 + 14 - 1/4*s**3 + 0*s - 1/96*s**6 - 41/480*s**5. Factor y(l).
(l - 6)*(l + 1)**2*(3*l + 2)/8
Let c(i) be the third derivative of -i**5/300 - i**4/40 + i**3/3 - 3*i**2 - 8. Solve c(r) = 0 for r.
-5, 2
Let d(c) = -c**2 + 2*c. Let g be d(2). Determine f, given that 2*f**2 - 30*f + g*f**2 - 45 - 7*f**2 = 0.
-3
Let i(t) be the second derivative of -16/15*t**5 + 28/9*t**4 - 1/63*t**7 + 16/3*t**2 + 1/5*t**6 + 0 + 3*t - 16/3*t**3. Suppose i(g) = 0. Calculate g.
1, 2
Let d(u) = u**3 + 4*u**2 - 4. Let j be d(-3). Factor 2*h**2 - 16 - j*h**2 - 24*h + 9 - 14.
-3*(h + 1)*(h + 7)
Let z = 452 + -452. Solve 14/3*x**2 - 4/3*x + 2*x**4 - 16/3*x**3 + z = 0.
0, 2/3, 1
Let d(t) be the second derivative of 35/2*t**2 + 0 - 5/12*t**4 + 2*t - 5*t**3. Solve d(l) = 0.
-7, 1
Let w(l) = -l - 2. Suppose -30 = 4*f + 10. Let o be w(f). What is s in -8*s**5 - 3*s**2 + 3*s**4 + s**5 - 2*s + s**3 + o*s**5 = 0?
-2, -1, 0, 1
Let c be ((-99)/(-30))/(478/(-232) - 2). Let s = -2/157 - c. Find j such that -2/5 - 2/5*j**2 + s*j = 0.
1
Let q(i) be the second derivative of -i**5/2 - 305*i**4/12 - 145*i**3/6 + 75*i**2 + 157*i. Factor q(z).
-5*(z + 1)*(z + 30)*(2*z - 1)
Suppose 13 = 2*i + 2*z - 3, 3*i + z - 24 = 0. Factor 6*w + 56 + 12*w**4 - 8*w**2 - i*w**3 + 6*w - 4*w**5 - 60.
-4*(w - 1)**4*(w + 1)
Let i(k) = -k**3 + 3*k**2 - 3*k + 3. Let w be i(0). Let 4/3*x**4 - 12*x + 0 + 4*x**2 + 20/3*x**w = 0. What is x?
-3, 0, 1
Let h(v) 