*2 - 4/5*f**4 + 0 + 12/5*f**5 + 0*f = 0. Calculate f.
-2/3, 0, 1
Let j be (-1 + 4 - -1)*1. Suppose 3*l - 2*l**3 - 5*l + 2*l**4 + l**j + 4*l**3 - 3*l**2 = 0. What is l?
-1, -2/3, 0, 1
Let n(a) be the second derivative of -a**6/60 + a**4/8 + a**3/6 + 2*a. Find y, given that n(y) = 0.
-1, 0, 2
Find o such that -1/7*o + o**2 - 8/7*o**3 - 16/7*o**4 + 0 = 0.
-1, 0, 1/4
Let a be 3/9 + 10/(-90). Solve -2/9*h**5 - a - 4/9*h**2 - 4/9*h**3 + 2/3*h + 2/3*h**4 = 0 for h.
-1, 1
Let r(i) = -i**3 - 1. Let w(t) = -3*t - 3. Let l(h) = 3*r(h) - w(h). What is z in l(z) = 0?
-1, 0, 1
Let z(l) be the third derivative of l**9/4320 - 3*l**8/4480 + l**7/2520 + l**4/12 + 2*l**2. Let o(k) be the second derivative of z(k). Solve o(b) = 0.
0, 2/7, 1
Let l(k) = 9*k**2 - 3*k. Let v(m) = -m**3 - 9*m**2 + 2*m. Let g(n) = -2*l(n) - 3*v(n). Solve g(b) = 0 for b.
-3, 0
Let i(o) be the first derivative of o**5/40 + o**4/32 - o**3/6 - o**2/4 + 7. Suppose i(g) = 0. What is g?
-2, -1, 0, 2
Suppose 2*n + 4*y = -n + 13, -3*n + 7 = -2*y. Suppose -t + b = -3*t - 5, -b = 5. Factor 4/5*s**2 + 2/5*s**n + t + 2/5*s.
2*s*(s + 1)**2/5
Let g(o) = -6*o**2. Let j(h) be the second derivative of 5*h**4/12 + 3*h. Suppose 3*d - 3 + 15 = 0. Let n(c) = d*g(c) - 5*j(c). Factor n(l).
-l**2
Factor -14/5*i**2 - 2/5 - 16/5*i.
-2*(i + 1)*(7*i + 1)/5
Let x(w) be the second derivative of -w**8/13440 - w**7/2520 - w**6/1440 - 5*w**4/12 - 4*w. Let b(f) be the third derivative of x(f). Factor b(g).
-g*(g + 1)**2/2
Factor 0*x - 1/3*x**3 + 0 - 4/3*x**2.
-x**2*(x + 4)/3
Let o(z) be the third derivative of -z**8/2240 + z**6/240 - z**4/4 + 2*z**2. Let s(g) be the second derivative of o(g). Factor s(c).
-3*c*(c - 1)*(c + 1)
Let m(b) be the second derivative of b**6/6 + b**5/15 - 8*b**4/15 + 8*b**3/15 - 5*b**2/2 + 4*b. Let h(q) be the first derivative of m(q). Solve h(u) = 0 for u.
-1, 2/5
Let b(j) be the third derivative of -j**5/90 - j**4/72 + j**3/18 + j**2. What is q in b(q) = 0?
-1, 1/2
Let k(s) = 3*s**2 + 15. Let u(m) = -m - 1. Let t(x) = -k(x) - 9*u(x). Factor t(a).
-3*(a - 2)*(a - 1)
Let t(l) be the third derivative of 0*l**6 + 0*l**3 - l**2 + 0*l**5 + 0 + 0*l + 1/336*l**8 + 1/210*l**7 + 0*l**4. Factor t(j).
j**4*(j + 1)
Let q(t) be the first derivative of -t**4/18 - 8*t**3/27 - 5*t**2/9 - 4*t/9 + 1. Factor q(a).
-2*(a + 1)**2*(a + 2)/9
Let d be -1 - 2 - (-4)/(-28). Let r = d + 24/7. Let -4/7*y - 2/7*y**4 + 4/7*y**3 + 0*y**2 + r = 0. What is y?
-1, 1
Let u(k) be the third derivative of -k**8/3360 + k**7/560 - k**5/60 - 2*k**3/3 + 4*k**2. Let i(q) be the first derivative of u(q). Factor i(z).
-z*(z - 2)**2*(z + 1)/2
Find z such that -14/3*z**2 + 0 + 8/3*z + 2/3*z**4 + 4/3*z**3 = 0.
-4, 0, 1
Let h(w) be the first derivative of 0*w + 1/24*w**6 + 3/10*w**5 + 3 + 2/3*w**3 + 3/4*w**4 + 0*w**2. Factor h(r).
r**2*(r + 2)**3/4
Let p(k) = k**3 - 8*k**2 - 8*k - 7. Let j be p(9). Let s - 5*s**2 - 9*s - j*s**3 - 3*s**2 = 0. What is s?
-2, 0
Let f be ((-12)/15)/(4/(-10)). Factor 7*w - w + 3*w**f + 0*w.
3*w*(w + 2)
Suppose 8/5*r**3 - 2/5*r**4 + 8/5*r - 12/5*r**2 - 2/5 = 0. What is r?
1
Let a(f) be the first derivative of 1/30*f**5 + 1/2*f**2 + 1/3*f**3 - 1/6*f**4 + 1 + 0*f. Let c(u) be the second derivative of a(u). Let c(m) = 0. What is m?
1
Let w(y) be the second derivative of -y**6/225 - y**5/50 - y**4/45 + 19*y. Solve w(d) = 0 for d.
-2, -1, 0
Let g(f) be the third derivative of -f**7/60 + 5*f**6/72 - 11*f**5/120 + f**3/9 + 5*f**2. Determine l so that g(l) = 0.
-2/7, 2/3, 1
Let r(q) be the first derivative of 2*q**6/33 + 2*q**5/55 - 7*q**4/22 + 2*q**3/33 + 5*q**2/11 - 4*q/11 + 3. Let r(o) = 0. Calculate o.
-2, -1, 1/2, 1
Suppose 0 = p - 2*l, 0*p - 2*p - 4*l = -8. Determine u so that -u**p + 3*u + u - 5*u + 2*u**2 = 0.
0, 1
Let b(v) be the second derivative of v**5/60 + v**4/36 - v**3/18 - v**2/6 - 3*v. Find f, given that b(f) = 0.
-1, 1
Let c = -3109/2 + 1555. Factor -1/2*p**5 + c*p**3 + 0*p**4 + 0*p**2 + 0*p + 0.
-p**3*(p - 1)*(p + 1)/2
Determine d so that 4*d**3 - d**4 - 2*d**3 - 2*d - 2*d**2 + 3*d**4 = 0.
-1, 0, 1
Let i(z) be the third derivative of -z**5/20 + z**4/24 - 11*z**2. Find j such that i(j) = 0.
0, 1/3
Let u(d) = -d**3 - 8*d**2 - 8*d - 5. Suppose -y + 2*f = -3*y - 24, 38 = -4*y - 2*f. Let n be u(y). Factor 0*r - 2/3*r**n + 2/3.
-2*(r - 1)*(r + 1)/3
Let g = -100108/5 - -19892. Let t = g + 130. Suppose -2/5*n**3 - 4/5*n**2 + 0 - t*n = 0. Calculate n.
-1, 0
Let v(f) be the third derivative of -f**6/480 + f**5/80 - f**4/32 + f**3/6 - f**2. Let n(z) be the first derivative of v(z). Factor n(r).
-3*(r - 1)**2/4
Let w(h) be the first derivative of -4*h**5/65 - 7*h**4/26 - 14*h**3/39 - 2*h**2/13 - 32. Solve w(j) = 0 for j.
-2, -1, -1/2, 0
Let m(u) be the first derivative of 0*u**2 + 0*u - 1/9*u**3 - 2 + 3/8*u**4 - 7/30*u**5. Factor m(j).
-j**2*(j - 1)*(7*j - 2)/6
Let w(f) = -f**4 + f**3 + f**2 - f. Let l(j) = j**4 - j**3 - j**2 + j. Let b(c) = l(c) + 2*w(c). Find d, given that b(d) = 0.
-1, 0, 1
Let t(r) be the first derivative of r**4/16 - r**3/12 - r**2/8 + r/4 - 1. Suppose t(i) = 0. Calculate i.
-1, 1
Let s be (3 + -2)*22/11. Factor 12*t + 2 + s*t**4 + 21/2*t**3 + 37/2*t**2.
(t + 1)*(t + 2)**2*(4*t + 1)/2
Let z be 9347/(-2340) + 8/2. Let x(y) be the third derivative of 1/18*y**3 + 0*y**4 - z*y**5 + 0*y + y**2 + 0. Factor x(s).
-(s - 1)*(s + 1)/3
Let l(r) = -59*r**2 - 17*r - 5. Let c(q) = -207*q**2 - 60*q - 18. Let f(s) = 5*c(s) - 18*l(s). Factor f(x).
3*x*(9*x + 2)
Let b(x) be the second derivative of -x**6/105 - x**5/70 + x**4/42 + x**3/21 - x. Determine o so that b(o) = 0.
-1, 0, 1
Suppose -3*d + 11 - 2 = 0. Solve -6*m**5 + 5*m**3 - 4*m**2 + m**d + m**4 - 5*m**4 + m + 7*m**5 = 0.
0, 1
Let h(a) = a**3 + 5*a**2 + 5*a + 2. Let q be h(-3). Factor -14*g**5 + 12*g**q + 3*g**3 - g**3.
-2*g**3*(g - 1)*(g + 1)
Let t(w) = -w**2 + 7*w + 2. Let f be t(6). Suppose 2*z - 3*y + f = 0, -3*z - z = y - 12. Find i such that 3*i**3 + 3*i - 3*i**z + 2*i - 5*i = 0.
0, 1
Let o(h) be the second derivative of h**4/24 + 5*h**3/12 + 3*h**2/2 - 15*h. Factor o(p).
(p + 2)*(p + 3)/2
Determine x so that 9*x**2 - 40/3*x - 5/3*x**3 + 4 = 0.
2/5, 2, 3
Factor 0*b**2 + 0 + 2/7*b**4 + 0*b + 2/7*b**3.
2*b**3*(b + 1)/7
Let r(k) = k**4 - 4*k**3 - 3*k**2 + 2*k - 2. Let f(q) = q**4 + q**3 + 1. Let w = 1 + 1. Let j(m) = w*f(m) + r(m). Factor j(h).
h*(h - 1)*(h + 1)*(3*h - 2)
Factor -37*f**4 - 2*f**4 - 860*f**2 - 31*f**4 - 320 - 248*f**3 - 880*f - 117*f**3 - 5*f**5.
-5*(f + 1)**2*(f + 4)**3
Let h(d) be the second derivative of -d**7/119 + 2*d**6/255 + d**5/17 - 7*d**3/51 - 2*d**2/17 - 37*d. Solve h(g) = 0 for g.
-1, -1/3, 1, 2
Let o(y) be the first derivative of -12*y**6/5 + 6*y**5/25 + 19*y**4/2 + 10*y**3 + 21*y**2/5 + 4*y/5 - 22. What is c in o(c) = 0?
-1, -1/3, -1/4, 2
Let i(a) = 3*a**4 + 2*a**2 - 4*a - 3. Let m(p) = -7*p**4 + p**3 - 5*p**2 + 9*p + 7. Let t(o) = 10*i(o) + 4*m(o). Factor t(w).
2*(w - 1)*(w + 1)**3
Factor y**2 - 4 - 1/2*y**3 + 2*y.
-(y - 2)**2*(y + 2)/2
Let q(p) = -p**3 + 1. Let t(f) = 8*f**3 + 3*f**2 - 3*f - 8. Let y(c) = 5*q(c) + t(c). Factor y(b).
3*(b - 1)*(b + 1)**2
Let z(p) be the third derivative of 1/30*p**5 + 0*p**3 + 0*p - 4*p**2 - 1/18*p**4 + 0. Factor z(c).
2*c*(3*c - 2)/3
Let o(r) be the third derivative of -r**9/241920 - r**8/26880 - r**7/10080 - r**5/20 + r**2. Let a(s) be the third derivative of o(s). Factor a(z).
-z*(z + 1)*(z + 2)/4
Let c(w) be the first derivative of -3 + 0*w**4 + 0*w + 0*w**2 + 1/10*w**5 + 0*w**3 + 1/4*w**6. What is z in c(z) = 0?
-1/3, 0
Let v(j) = -j**3 + 4*j**2 + 2*j. Let b(o) = -2*o**3 + 12*o**2 + 6*o. Let q(h) = 3*b(h) - 8*v(h). Factor q(g).
2*g*(g + 1)**2
Let 588*n + 18*n**2 + 13*n**2 - 4*n**2 + 2744 + n**3 + 15*n**2 = 0. What is n?
-14
Factor 4*p**2 - 5*p**2 - 5*p**2 + 4*p**2.
-2*p**2
Let u(t) = 11*t**2 - 21*t + 10. Let v(q) = 100*q**2 - 190*q + 90. Let y(x) = -55*u(x) + 6*v(x). Factor y(d).
-5*(d - 2)*(d - 1)
Let x(b) be the first derivative of 0*b**4 - 3 + 0*b**2 + 0*b**3 + 0*b + 1/5*b**5. Factor x(q).
q**4
Find s, given that 0 + 0*s - 2/9*s**5 + 0*s**2 - 2/9*s**4 + 0*s**3 = 0.
-1, 0
Let t(q) be the second derivative of q**5/15 - 2*q**4/9 + 9*q. Factor t(j).
4*j**2*(j - 2)/3
Let c be 2*-3*(-1)/(-2). Let b = c + 5. Determine g, given that -4*g**2 + b*g**3 + g**4 - 4*g**3 + 5*g**2 = 0.
0, 