2
Let v be -3*(-2)/(2/3). Let b(t) = t**2 - 8*t - 9. Let w be b(v). Differentiate -3 - 2*n + 5 + w + 0 wrt n.
-2
Let s(k) be the first derivative of 12*k**5/5 - 5*k - 6. Differentiate s(h) wrt h.
48*h**3
Let i be (-1 + (-1)/(-2))*-1. Let m(k) be the first derivative of -i*k**2 - 2/3*k**3 + 0*k + 1. Find the second derivative of m(j) wrt j.
-4
Let i(j) be the third derivative of 13*j**6/120 + j**4/12 - 5*j**3 - 5*j**2 + 2. Differentiate i(w) wrt w.
39*w**2 + 2
Let k = 10 + -6. Let f = k + -1. What is the third derivative of q**3 + q + 0*q**f + 2*q**2 - q wrt q?
6
Let j(s) = -6*s**3 - 9*s**2 - 18*s - 9. Let u(k) = k**2 + k + 1. Let y(h) = j(h) + 9*u(h). What is the second derivative of y(i) wrt i?
-36*i
Let t(u) = -2*u**2 + u. Let d be t(0). Let y(a) be the first derivative of d*a**3 - 1 - 2/5*a**5 - a + 0*a**4 + 0*a**2. Differentiate y(h) with respect to h.
-8*h**3
Let q(p) = p**2 + 7*p + 2. Suppose 5*w = -2*i - 39, -w - i - 30 = 3*w. Let f be q(w). Differentiate 0 + 3*g**3 - f*g**3 - 1 wrt g.
3*g**2
Let y(b) be the second derivative of b**7/6 + b**4/6 + 2*b. What is the third derivative of y(n) wrt n?
420*n**2
Let w(o) be the third derivative of 13*o**7/210 + 43*o**4/24 - 39*o**2. Find the second derivative of w(s) wrt s.
156*s**2
Let m be 6 + -2 - 77/20. Let g(l) be the second derivative of 0*l**3 + 0 - 3*l + 0*l**4 - m*l**5 - 1/2*l**2. Differentiate g(b) with respect to b.
-9*b**2
Let j = -10 - -10. Let n(h) be the first derivative of 0*h**4 - 1/3*h**6 + 0*h**3 - 1 - 1/2*h**2 + j*h**5 + 0*h. Find the second derivative of n(f) wrt f.
-40*f**3
Let g = -18 + 13. Let m be 36/20 - 1/g. Find the third derivative of w**3 + w**2 + w**3 - m*w**2 wrt w.
12
What is the second derivative of 46*r**2 + 11*r + 11*r - 20*r**2 wrt r?
52
Let i(g) be the first derivative of 3/2*g**2 - 3 - 3*g. What is the derivative of i(r) wrt r?
3
Suppose 0 = 3*o - 4*s - 24, -5*o + 2*o - 3*s + 3 = 0. Suppose -5*j - o = -24. Differentiate 7*u**j - 2 - 2*u**3 + 2*u**3 - 4*u**4 wrt u.
12*u**3
Suppose -2*m = 4 - 12. Suppose -4*i + 32 = -m*t, -i + 4*t = -15 - 5. What is the first derivative of -1 - 3 + 6 - 3*b**i wrt b?
-12*b**3
Let f(g) = -g**3 + 7*g**2 + 7*g + 11. Let w be f(8). Find the second derivative of i**2 - 7 + w*i + 7 wrt i.
2
Let t(h) be the third derivative of 5/3*h**3 + 5/12*h**4 + 0*h + 0 + 9*h**2. Differentiate t(z) with respect to z.
10
Let x(i) be the first derivative of -3*i**6/2 - 11*i**2 + 16. Find the second derivative of x(o) wrt o.
-180*o**3
Find the third derivative of 13*h**2 - h**4 - 14*h**4 + 2*h**4 wrt h.
-312*h
Let l(b) = 16*b**2. Let g(k) = -3*k**2. Let a(w) = -11*g(w) - 2*l(w). Let d be a(2). Find the third derivative of v**3 + d*v**2 - v**2 - v**2 wrt v.
6
Let o(l) be the first derivative of 0*l**5 + 0*l + 5/3*l**3 + 0*l**2 - 5 + 0*l**4 + 1/6*l**6. Find the third derivative of o(w) wrt w.
60*w**2
Let n(s) be the second derivative of 0*s**2 - 1/2*s**3 + 0*s**5 + 0*s**4 - 3*s + 0 - 1/10*s**6. Find the second derivative of n(j) wrt j.
-36*j**2
Find the second derivative of -6*h**2 - 3*h**2 + h + 0*h + 2*h**2 wrt h.
-14
Let j(i) be the second derivative of 0 - 1/4*i**4 + 5*i + 0*i**3 + 0*i**2 + 1/10*i**5. Find the third derivative of j(s) wrt s.
12
Let i(v) be the second derivative of v**5/20 - v**4/12 - 2*v**2 + 7*v. Let x(q) be the first derivative of i(q). What is the second derivative of x(t) wrt t?
6
Let z be 21/14*(0 - -2). What is the third derivative of -2*m**4 + 5*m**2 - m**4 + 3*m**3 - z*m**3 wrt m?
-72*m
What is the first derivative of i + 3*i**2 + i**2 - 10 - i wrt i?
8*i
Let l(y) be the third derivative of -y**5/30 - y**4/12 + y**3/6 - 4*y**2. Let f(k) be the first derivative of l(k). What is the first derivative of f(j) wrt j?
-4
Suppose 3*i - 12 = 3*u, -3*i + 4 = -u + 2*u. What is the first derivative of -2*r**2 + i*r**2 - r**3 - 1 wrt r?
-3*r**2
Let q(t) = -2*t. Let j = 0 + -9. Let p(f) = 8*f + 1. Let m(h) = j*q(h) - 2*p(h). Differentiate m(y) wrt y.
2
Find the third derivative of -18*z**5 + z**2 - 4*z**5 + 0*z**2 + 0*z**2 wrt z.
-1320*z**2
What is the third derivative of 25*i**2 + 5*i**5 - 29*i**2 + 7*i**5 wrt i?
720*i**2
Let z = -8 + 12. Differentiate 1 + 3*d**4 - 4*d**z + 4*d**4 wrt d.
12*d**3
Let v(q) = -2*q - 2 + 2 + 4 - 6*q**3 + q. Let w(d) = d**3 + d - 1. Let a = 9 - 5. Let x(j) = a*w(j) + v(j). What is the second derivative of x(m) wrt m?
-12*m
Let y(l) be the first derivative of l**4/4 - 10*l**3/3 + 4. Find the third derivative of y(r) wrt r.
6
Let b = 16 + -12. What is the second derivative of 0*p**3 + 4*p + 2*p**3 + b*p**3 - 3*p**3 wrt p?
18*p
Let z(m) be the third derivative of -13*m**7/210 + 7*m**4/24 - 4*m**2. What is the second derivative of z(c) wrt c?
-156*c**2
Let v = -6 - -10. Let n(a) be the second derivative of 0*a**2 - 1/12*a**v + a + 1/6*a**3 + 0. Find the second derivative of n(k) wrt k.
-2
Let v(m) = 5*m**2 + 4*m - 2. Let l(a) = -25*a**2 - 19*a + 11. Let c(b) = -6*l(b) - 33*v(b). Find the second derivative of c(r) wrt r.
-30
What is the derivative of 18 + 5*g**4 + 8 + 20*g**4 - 8*g**4 wrt g?
68*g**3
Let j(o) be the third derivative of -o**6/24 - o**5/60 + 6*o**2. Find the third derivative of j(r) wrt r.
-30
Suppose 3*c - 24 = -c + 2*r, 5*r + 18 = 3*c. Find the third derivative of 9*s**2 + 5*s**6 - 9*s**2 + 3*s**c + 7*s**2 wrt s.
960*s**3
Let j(y) = y**2 + y - 14. Let z be j(0). Let f be (z/21)/((-1)/3). Differentiate -4*n + 3*n + n - f*n**3 - 3 with respect to n.
-6*n**2
Find the third derivative of -4*q**3 + 8*q**2 + 3*q**3 + 9*q**3 wrt q.
48
Let p(l) = -l - 1. Let u(z) = 6*z**2 + 8*z + 4. Suppose 2*t = -4*n + 42, 3*n - 29 = -4*t + 3*t. Let m(j) = n*p(j) + u(j). What is the derivative of m(d) wrt d?
12*d
Let v(h) be the first derivative of -h**6/60 - 5*h**4/24 - h**3/3 + 6. Let x(f) be the third derivative of v(f). What is the first derivative of x(l) wrt l?
-12*l
Suppose -2*z - 12 = -4*z. What is the third derivative of 6*n**2 - 2*n**z - 7*n**2 - 1 + 1 wrt n?
-240*n**3
Let f(n) = -n**2 + 4*n + 5. Let j be f(4). Suppose 5*k = j*h - 15, -18 = -4*h - k - k. What is the second derivative of 4 - a**2 + a - h - 3*a**2 wrt a?
-8
Let z = 4 - 8. Let d be (6/z)/((-4)/8). Find the second derivative of h + h**5 - 2*h**5 + d*h**5 wrt h.
40*h**3
Let u(f) be the first derivative of -3 + 4 + 16*f + 2*f**3 - 23*f. Find the first derivative of u(m) wrt m.
12*m
Let t(x) be the third derivative of -41*x**6/120 - x**4/12 - x**3/6 + 69*x**2. What is the second derivative of t(c) wrt c?
-246*c
Let p(a) = -a**5 + a**3 + a**2 - a. Let x(i) = 7*i**5 - 3*i**3 - 3*i**2 + 7*i. Let q(d) = 3*p(d) + x(d). What is the second derivative of q(v) wrt v?
80*v**3
Suppose -a + 3*a = 6. Let q = 1 + a. What is the derivative of -q + k + 3 - k - k wrt k?
-1
Let h(f) = -f. Let v be h(-1). Let d be v/(-3) + (-26)/(-6). What is the third derivative of -5*k**3 + k**2 + d*k**3 - 2*k**2 wrt k?
-6
Find the second derivative of o**3 - 3*o - o - 2*o + 0*o wrt o.
6*o
Let i(r) = 37*r**4 + 5*r**3 + 5*r**2 - 1. Let q(l) = -18*l**4 - 3*l**3 - 3*l**2 + 1. Let m(g) = 3*i(g) + 5*q(g). Differentiate m(k) with respect to k.
84*k**3
Let z(p) be the third derivative of p**4/4 + p**3/3 + 6*p**2. What is the first derivative of z(b) wrt b?
6
Let h = 10 - 8. Suppose -4*f - 2 = -3*x - 18, -5*f = h*x - 20. Differentiate -t**4 - 2 + 2*t**f - 5*t**4 wrt t.
-16*t**3
Let u(t) be the second derivative of t**6/360 - t**5/60 + t**3/3 + 2*t. Let m(f) be the second derivative of u(f). Find the second derivative of m(z) wrt z.
2
Let m be 0/(-1*3/(-3)). Let r(n) be the third derivative of n**2 + 1/60*n**6 + 0*n + m*n**5 + 0*n**3 + 0 + 1/24*n**4. Find the second derivative of r(p) wrt p.
12*p
Differentiate 0*v**2 - 40 + 35 + 17 + 6*v**2 wrt v.
12*v
Suppose 0 = 3*n + 15 - 3. Let d(i) = -i**3 + 11*i + 31. Let s(r) = 2*r + 6. Let t(w) = n*d(w) + 22*s(w). Differentiate t(o) with respect to o.
12*o**2
Let h = -1 - -3. Suppose -d = 2*r, 5*d - 24 = -0*r + h*r. Find the third derivative of -4*k**2 - k**d - 2*k**4 + 2*k**4 + 5*k**2 wrt k.
-24*k
Find the third derivative of -2*x**3 - 5*x**3 - 17*x**2 - 2*x**3 - x**3 wrt x.
-60
Find the third derivative of -20*z**5 + 13*z**5 + 8*z**5 + 12*z**3 - 4 - 4 + 4*z**2 wrt z.
60*z**2 + 72
Let a(q) = -2*q**2 - q. Let v(h) = -42*h**2 - 16*h. Let s(j) = 4