**2 - o*j**4 - 2/3*j - 2/3*j**5 = 0.
-1, -1/2, 1
Let v be (2/(-20))/((-3)/5). Let b = 1/2 - v. Solve -a**2 - a - 1/3*a**3 - b = 0 for a.
-1
Let z be (2/5)/(2/5). Let l = 5 - z. Find q, given that 4 - 5 + 1 + 2*q**2 + l*q + 2 = 0.
-1
Factor 0 + 2/9*x**3 + 4/9*x - 2/3*x**2.
2*x*(x - 2)*(x - 1)/9
Suppose 4*q - 39 = -q + 4*y, -5*y = -q + 12. Let n be (-132)/(-30) - (q + -3). Determine d so that n*d**2 + 2/5*d**3 + 0 - 4/5*d = 0.
-2, 0, 1
Let h be 3/(-4)*(-3)/27. Let z(m) be the second derivative of -h*m**4 + 0 + 1/60*m**6 - 1/20*m**5 + 1/84*m**7 + 1/12*m**3 + 1/4*m**2 + 2*m. Solve z(y) = 0.
-1, 1
Let w(t) be the third derivative of 0*t**3 + 0*t**4 + 3/70*t**7 + 0 - 1/20*t**6 + 0*t**5 - 3*t**2 + 0*t - 1/112*t**8. Factor w(p).
-3*p**3*(p - 2)*(p - 1)
Let t(u) be the second derivative of u**7/210 - u**6/45 - 2*u**5/15 + 4*u**4/3 + u**3/2 - 7*u. Let w(f) be the second derivative of t(f). Solve w(y) = 0.
-2, 2
Let o be 184/(-32) + -5 + 11. Factor 3/4*l**2 + o*l**3 + 0 + 1/2*l.
l*(l + 1)*(l + 2)/4
Solve 0*v**2 + 2/7*v**4 + 0 + 8/7*v - 6/7*v**3 = 0.
-1, 0, 2
Let o(r) = 2*r - 11. Let k be o(6). Let n(s) be the first derivative of 1/3*s**3 - 1/2*s**2 - k - 2*s. Factor n(u).
(u - 2)*(u + 1)
Factor -r + 6/5 - 1/5*r**2.
-(r - 1)*(r + 6)/5
Suppose 1/3*v**5 - 2/3*v**4 - 1/3*v**3 + 0 + 0*v + 2/3*v**2 = 0. What is v?
-1, 0, 1, 2
Let q be (-1)/(2/(-8)) - 4. Let s(u) be the first derivative of -2/7*u**4 + q*u + 1 + 10/21*u**3 - 1/7*u**2. Factor s(b).
-2*b*(b - 1)*(4*b - 1)/7
Let p(q) be the third derivative of q**9/151200 + q**8/25200 + q**7/12600 - q**5/12 + 2*q**2. Let h(d) be the third derivative of p(d). Factor h(a).
2*a*(a + 1)**2/5
Factor -56*r**3 - 4*r + 2*r**3 + 26*r**2 - 7*r**5 - 6*r**5 - r**5 + 46*r**4.
-2*r*(r - 1)**3*(7*r - 2)
Factor 8/5*v + v**2 + 1/5*v**3 + 4/5.
(v + 1)*(v + 2)**2/5
Let d(t) = -t**3 - 7*t**2 - t. Let u(o) be the second derivative of 0 - 1/6*o**3 + o - 1/20*o**5 - 2/3*o**4 + 0*o**2. Let r(h) = -6*d(h) + 5*u(h). Factor r(a).
a*(a + 1)**2
Let f(u) = u**2 + u + 1. Let g(b) = b**3 + 12*b**2 + 13*b + 10. Let w(l) = 24*f(l) - 3*g(l). Factor w(y).
-3*(y + 1)**2*(y + 2)
Let a(m) be the third derivative of -m**7/1050 + m**6/300 + m**2. Factor a(u).
-u**3*(u - 2)/5
Let o = 119 - 356/3. Solve -1/3*s**4 + o*s**3 + 0 + 1/3*s**2 - 1/3*s = 0.
-1, 0, 1
Let y = -4/5 + 22/15. Factor -y + r - 1/3*r**2.
-(r - 2)*(r - 1)/3
Let a(c) be the second derivative of -c**4/4 + 3*c**2/2 - 5*c. Determine k, given that a(k) = 0.
-1, 1
Suppose l + 12 = 5*l. Solve -4*o**l + 2*o**2 + 3*o**3 - o - 3*o**2 - o**2 = 0.
-1, 0
Let a be (72/7)/4*7. Let -a*s + 13*s**2 + 3 + 11*s**2 - 10*s**2 + 1 = 0. What is s?
2/7, 1
Let f = -13 - -13. Let z(u) be the third derivative of u**2 - 1/180*u**5 + 0 + 0*u**3 + 1/72*u**4 + f*u. Factor z(h).
-h*(h - 1)/3
Let h(q) be the second derivative of -1/4*q**2 - 1/48*q**4 - 1/8*q**3 + q + 0. What is a in h(a) = 0?
-2, -1
Let q = 33 - 15. Suppose 0*b + 3*b + q = 3*d, -4*d + 5*b = -27. Factor 0*o + 0*o**2 + 1/4*o**4 - 1/4*o**5 + 0 + 0*o**d.
-o**4*(o - 1)/4
Let u = 145 - 145. Let n(p) be the third derivative of u*p - 4/45*p**5 + 0*p**3 + 1/9*p**4 - 1/36*p**6 + 0 + p**2. Factor n(w).
-2*w*(w + 2)*(5*w - 2)/3
Let d(a) = -1. Let f(m) = -100*m**2 + 160*m - 60. Let h(u) = -4*d(u) - f(u). Suppose h(r) = 0. What is r?
4/5
Factor 0*a**2 + 0*a + 4/3*a**3 + a**4 + 0 - 1/3*a**5.
-a**3*(a - 4)*(a + 1)/3
Let z(s) = 144*s**2 + 39*s - 27. Let o(g) = 11*g**2 + 3*g - 2. Let f(t) = 27*o(t) - 2*z(t). Determine h so that f(h) = 0.
-1/3, 0
Let l(z) = -4*z**4 + 4*z**3 + 6*z**2 - 4*z + 2. Let s = 8 + -15. Let a(u) = 12*u**4 - 11*u**3 - 18*u**2 + 12*u - 7. Let i(q) = s*l(q) - 2*a(q). Factor i(w).
2*w*(w - 2)*(w + 1)*(2*w - 1)
Let y(c) be the third derivative of c**5/110 - c**4/33 - 4*c**3/33 - 5*c**2. Factor y(q).
2*(q - 2)*(3*q + 2)/11
Let v(d) be the third derivative of -d**6/120 - d**5/60 + d**4/24 + d**3/6 + 9*d**2. Let v(r) = 0. Calculate r.
-1, 1
Determine s so that -10 + 36*s + 3*s**3 + 28 + 18*s**2 + 6 = 0.
-2
Let b(m) be the third derivative of m**8/840 - 2*m**2. Factor b(t).
2*t**5/5
Let j(a) be the second derivative of a**5/50 - a**4/30 - 2*a**3/5 + 4*a. Determine i so that j(i) = 0.
-2, 0, 3
Let g be (-21)/(-231) - (-2)/(-22). Factor -3/5*x**3 + 0 + 9/5*x**2 + g*x.
-3*x**2*(x - 3)/5
Let y be (4 - -2) + (-1)/(7/14). Factor -1/5*j**y + 0*j**3 - 1/5 + 2/5*j**2 + 0*j.
-(j - 1)**2*(j + 1)**2/5
Let z(w) = w**2 + 14*w - 4. Let a be z(-15). Let f = a + -9. Suppose -2/5*x**f - 2/5 - 4/5*x = 0. What is x?
-1
Suppose -b = 2*b - 6. Let -14 - 64*r - b - 4*r**2 + 20*r**4 + 5*r**5 - 105*r**5 + 164*r**3 = 0. Calculate r.
-1, -2/5, 1
Let u(b) be the second derivative of 0 + 1/6*b**4 - 1/3*b**3 + 0*b**2 - 4*b. Solve u(g) = 0 for g.
0, 1
Let m(v) be the second derivative of -v**7/84 + v**5/20 - v**3/12 - 8*v. Solve m(o) = 0.
-1, 0, 1
Let u(w) be the second derivative of 1/30*w**6 + 0*w**2 - 1/12*w**4 + 0 + 0*w**3 - 7*w - 1/42*w**7 + 1/20*w**5. Find h, given that u(h) = 0.
-1, 0, 1
What is f in 1/8*f**2 - 1/2*f + 1/2 = 0?
2
Let s = 130 - 386/3. Factor -4/3*h**2 - s + 8/3*h.
-4*(h - 1)**2/3
Let v(k) = 6*k**2 + 6*k + 5. Let c(i) = -i**2 - i - 1. Let s(w) = 20*c(w) + 4*v(w). Find d, given that s(d) = 0.
-1, 0
Let r(n) be the first derivative of -n**6 - 22*n**5/5 - 6*n**4 - 8*n**3/3 + 1. Suppose r(z) = 0. Calculate z.
-2, -1, -2/3, 0
Let j = 57/455 - -1/35. Factor j*a**3 + 2/13 - 2/13*a**2 - 2/13*a.
2*(a - 1)**2*(a + 1)/13
Suppose r + 3*r + 24 = 0. Let k(f) = f**3 + 6*f**2 - f - 4. Let x be k(r). Solve 2/5 + 2/5*z**x - 4/5*z = 0.
1
Factor -8/3*s**3 + 16/3 - 1/3*s**4 - 5*s**2 + 8/3*s.
-(s - 1)*(s + 1)*(s + 4)**2/3
Let o(q) be the first derivative of -1/12*q**3 + 1/8*q**2 + 1/4*q - 1/16*q**4 + 1. Factor o(l).
-(l - 1)*(l + 1)**2/4
Let c = 7 - 12. Let z = -3 - c. Factor 0 + z*t**2 - 2/3*t.
2*t*(3*t - 1)/3
Let w(k) = 90*k**4 - 105*k**3 + 37*k**2 - 5*k. Let s(q) = -90*q**4 + 105*q**3 - 36*q**2 + 5*q. Let j(f) = 3*s(f) + 4*w(f). Solve j(t) = 0.
0, 1/3, 1/2
Let 4/5 - 2/5*d - 6/5*d**2 = 0. Calculate d.
-1, 2/3
Let b(d) be the first derivative of 2/55*d**5 + 9 - 2/11*d**3 + 0*d + 0*d**4 + 2/11*d**2. Factor b(q).
2*q*(q - 1)**2*(q + 2)/11
Suppose -5*q = 3*b - 43, q = -2*q - 3. Suppose 4*r + b = 4*n, 11 = 4*n - 3*r - 3. Factor -6/7*h**n + 0 - 2/7*h**4 + 2/7*h + 6/7*h**3.
-2*h*(h - 1)**3/7
Let o(d) = -d**2 + 12*d + 17. Let c be o(13). Let v(q) be the third derivative of 0*q**3 - 1/12*q**c - q**2 + 0*q + 0 - 1/15*q**5 + 1/20*q**6. Factor v(u).
2*u*(u - 1)*(3*u + 1)
Let q = -8 - -10. Let u(k) be the first derivative of 1/3*k**6 + 0*k**3 + 0*k**5 - 1/2*k**4 + 0*k + 1 + 0*k**q. Factor u(j).
2*j**3*(j - 1)*(j + 1)
Factor -3/4*d**2 - 33/2*d - 363/4.
-3*(d + 11)**2/4
Let a(d) be the third derivative of d**5/60 + d**4/8 - 26*d**2. Suppose a(r) = 0. What is r?
-3, 0
Suppose 0 = -3*t - u + 4, 10 = 2*t - 5*u - 21. Suppose -2*z = -t*q + 2*q - 6, -q = -z + 2. Factor q*c**4 - 2*c**4 - c**4 + 2*c**2 - 1.
-(c - 1)**2*(c + 1)**2
Let l = 14 + -13. What is m in -2 + 4 - l - 2*m + m**2 = 0?
1
Factor -6*f**3 - 84*f**2 + 96*f**2 - 3 + 6*f**5 + 2*f**4 - 11*f**4.
3*(f - 1)**3*(f + 1)*(2*f + 1)
Let v(q) = 2*q**2 + 8*q + 1. Let u(o) = o**2 + o - 1. Let n(r) = -5*u(r) + v(r). Factor n(j).
-3*(j - 2)*(j + 1)
Let u(t) be the first derivative of -2*t**3 - 21*t**2/4 - 9*t/2 - 2. Let u(k) = 0. Calculate k.
-1, -3/4
Let o(t) be the first derivative of t**4/30 - 8*t**3/45 + 4*t**2/15 - 1. Factor o(r).
2*r*(r - 2)**2/15
Let s(q) be the third derivative of q**6/40 + 9*q**5/20 + 27*q**4/8 + 27*q**3/2 + 9*q**2. What is k in s(k) = 0?
-3
Let g(o) = o**2 + 23*o + 7. Let m(p) = -12*p - 4. Let j = 5 - 1. Let i(w) = j*g(w) + 7*m(w). Suppose i(x) = 0. What is x?
-2, 0
Let j(l) be the first derivative of -l**4/14 - 2*l**3/21 + l**2/7 + 2*l/7 - 1. Determine o so that j(o) = 0.
-1, 1
Let -8*f**2 + 12*f**3 - 8*f**4 + 6 + 9*f - 7*f - 6 + 2*f**5 = 0. What is f?
0, 1
Let s(r) be the second derivative of -7*r**5/90 - 5*r**4/9 - 8*r**3/27 + 27*r. What is g in s(g) = 0?
-4, -2/7, 0
Factor 0 - 4/3*y - 2/3*y**4 - 8/3*y**3 - 10/3*y**2.
-2*y*(y + 1)**2*(y + 2)/3
Let s = 3528 + -24813/7. Let t = 17 + s. Factor 2/7*r**5 - t*r**3 + 0*r - 2/7*r**2 + 2/7*r**4 + 0.
2*r**2*(r - 1)*(r + 1)**2/7
Let t(a) = -4*a**2. Let f(l) = -5*l**2 - l. Let b(v) = -4*f(v