t derivative of j(n) wrt n.
-4*n
Let c(w) be the third derivative of 0*w - 5/6*w**3 - 1/12*w**4 + 6*w**2 + 0. What is the derivative of c(j) wrt j?
-2
Let i(s) = 13*s**3 - 11*s**2 - 11*s + 28. Let w(f) = 4*f**3 - 4*f**2 - 4*f + 9. Let g(c) = -4*i(c) + 11*w(c). Differentiate g(t) with respect to t.
-24*t**2
Let c(o) = o + 3. Let n be c(-3). Suppose -a + 4 = -n*a. Find the third derivative of 3*l**2 + a*l**5 + 2*l**4 + 2*l**4 - 4*l**4 wrt l.
240*l**2
Let v(w) = w**2 - 2*w - 1. Suppose 5 = 3*t - 4. Let z be v(t). Find the third derivative of -2*c**4 - z*c**2 - c + c wrt c.
-48*c
Let w(q) be the second derivative of -3*q**7/14 + 23*q**3/6 + 5*q. Find the second derivative of w(x) wrt x.
-180*x**3
Let t(x) be the second derivative of x**4/6 - 3*x**2 + 2*x. What is the derivative of t(m) wrt m?
4*m
Suppose 3*f - 4*f = -l, 0 = -4*l + 2*f. What is the third derivative of k**2 - 1 - k**6 + l*k**6 + 1 wrt k?
-120*k**3
Let k(o) be the second derivative of o**6/3 + 3*o**4/4 - 10*o. Find the third derivative of k(l) wrt l.
240*l
Let r(t) = -4*t**2 + 2. Let g(k) = 12*k**2 - k - 7. Let m(i) = 2*g(i) + 7*r(i). What is the second derivative of m(p) wrt p?
-8
Let o(b) be the first derivative of -7/2*b**2 + 9 + 0*b + 2/3*b**3. What is the second derivative of o(u) wrt u?
4
Let l(d) = d**2 - 5*d - 8. Let k be l(7). Find the third derivative of -5*v**4 - 5*v**4 - 5*v**k + 2*v**2 + 10*v**4 wrt v.
-600*v**3
Let j(a) be the third derivative of a**7/42 + a**5/30 + 49*a**3/6 + 24*a**2. Differentiate j(f) with respect to f.
20*f**3 + 4*f
Let b(i) = -i - 9. Let g be b(-12). What is the derivative of -g*k**3 - 2*k**4 - 5 - 3*k**4 + 3*k**3 wrt k?
-20*k**3
Let f(n) be the second derivative of 0*n**4 - 2*n + 0 + 0*n**2 + 1/2*n**3 - 1/20*n**5. Find the second derivative of f(v) wrt v.
-6*v
Let c(l) be the third derivative of -11*l**4/24 + 22*l**3/3 - 42*l**2. What is the derivative of c(s) wrt s?
-11
Let d = -59 - -473/8. Let i(h) be the third derivative of 0*h - 1/3*h**3 - d*h**4 - 4*h**2 + 0. Differentiate i(b) wrt b.
-3
Suppose -4*x = -0*x - 8. Let k(v) = 2*v - 3 + 9*v - x*v. Let r(t) = 4*t - 1. Let p(z) = 3*k(z) - 7*r(z). Differentiate p(s) with respect to s.
-1
Let q(b) = -7*b**4 + 2*b**3 - 11*b**2 - 2. Let h(z) = 29*z**4 - 9*z**3 + 45*z**2 + 9. Let p(x) = 2*h(x) + 9*q(x). What is the third derivative of p(w) wrt w?
-120*w
Suppose t - 19 + 8 = 0. Find the first derivative of 10 + 15*d + t*d - 20*d wrt d.
6
Find the first derivative of 5 + 1 + h**2 + 2*h**2 + 8*h**2 wrt h.
22*h
Let r(z) be the second derivative of -z**4/4 - z**3/2 + 53*z**2/2 + 15*z + 2. What is the first derivative of r(a) wrt a?
-6*a - 3
Suppose v - 5*v + 40 = 0. Find the first derivative of -10*o + v*o + 2 - 3*o**2 wrt o.
-6*o
Suppose 1 + 15 = 4*k. Let f(o) be the first derivative of 1/4*o**k + 2*o + 0*o**2 + 0*o**3 + 1. What is the first derivative of f(b) wrt b?
3*b**2
Let r(y) be the first derivative of 0*y + 1/2*y**4 - 2*y**2 + 0*y**3 + 2. Find the second derivative of r(x) wrt x.
12*x
Suppose -5*y - 6 = 4*f - 18, 0 = 5*f + y - 15. Differentiate 2*z**4 - f*z**4 - z**4 - 3 with respect to z.
-8*z**3
Let h(u) = u - 4. Let r be h(4). Suppose r*s + s = 2. What is the second derivative of -f + 0*f + f**2 + f**s wrt f?
4
Let z(m) = -m**2 + 1. Let w(g) = 24*g**3 - 9*g**2 + 51*g + 9. Let i(b) = w(b) - 9*z(b). Find the second derivative of i(n) wrt n.
144*n
Let u(j) be the third derivative of -1/120*j**6 + 0 + 7/6*j**3 + 0*j + 0*j**5 + 0*j**4 - 9*j**2. Find the first derivative of u(v) wrt v.
-3*v**2
What is the first derivative of 10*u**2 - 7*u**2 - 1 - 5*u**2 wrt u?
-4*u
Let a(v) be the first derivative of 4*v**3/3 + v + 7. Differentiate a(q) with respect to q.
8*q
Let o(x) be the first derivative of -9*x**5/5 - 7*x + 7. What is the derivative of o(p) wrt p?
-36*p**3
Find the third derivative of 32*g**2 + 18*g**3 - 10*g**3 - 8*g**3 + 22*g**6 wrt g.
2640*g**3
Let m(l) = -7*l**2 + 5*l - 6. Let c(t) = 8*t**2 - 4*t + 5. Let i(q) = 5*c(q) + 4*m(q). What is the derivative of i(d) wrt d?
24*d
Let r(m) be the third derivative of -m**7/21 - 7*m**3/6 + 13*m**2. What is the first derivative of r(p) wrt p?
-40*p**3
Let s(k) be the third derivative of 0 + 0*k**3 + 1/20*k**5 + 3*k**2 - 1/12*k**4 + 0*k. What is the second derivative of s(z) wrt z?
6
Let z(u) = -20*u**4 - 3*u**2 + 3*u - 2. Let f(g) = 20*g**4 + 2*g**2 - 2*g + 2. Let p(j) = -3*f(j) - 2*z(j). Differentiate p(k) with respect to k.
-80*k**3
Let h(g) be the first derivative of -g + 5*g - g**3 + 0*g - 5. Find the first derivative of h(z) wrt z.
-6*z
Let b = 3/7 + 1/14. Let m(p) be the first derivative of 2 + 0*p + 0*p**3 + 0*p**4 + b*p**2 + 1/5*p**5. What is the second derivative of m(l) wrt l?
12*l**2
Let d(s) be the second derivative of 11*s**6/30 - 5*s**2/2 - 7*s. Differentiate d(x) wrt x.
44*x**3
Let t(b) be the second derivative of b**5/5 + 3*b**2 - 6*b. What is the first derivative of t(x) wrt x?
12*x**2
Let x be 0/((3/1)/(-3)). Find the second derivative of 2*w**3 + x*w**3 + 0*w + w wrt w.
12*w
Let y(u) = -6*u**6 + u**4 + u**3 + u**2 + u. Let m(c) = -c**4 - c**3 + c**2 - c. Let l(h) = -m(h) - y(h). What is the third derivative of l(j) wrt j?
720*j**3
Let v(b) be the third derivative of -b**9/63 + b**5/60 + b**2. Find the third derivative of v(g) wrt g.
-960*g**3
What is the derivative of 24*x + 37 - 12 + 20 wrt x?
24
Suppose -5*m = -r - 2*r + 6, -m = r - 2. Suppose -3 = r*j - 7. What is the third derivative of 9*u**2 - 17*u**2 + 3*u**5 + 5*u**j wrt u?
180*u**2
Suppose 3*y + 0*y - 3*s - 21 = 0, 0 = -5*y - 5*s + 25. What is the second derivative of -y*c**3 - 4*c + 4*c - c wrt c?
-36*c
Suppose 5*l - 17 = 23. Find the first derivative of -l*o**4 + 3*o**4 + 1 - 7 wrt o.
-20*o**3
Differentiate -11 + 0*p**3 + 1 + 15*p**3 wrt p.
45*p**2
Suppose 0 = -i + 9 + 3. Let z = i + -9. Find the second derivative of 2*o - z*o + 2*o**2 - 2*o + 5*o wrt o.
4
Let i(m) be the second derivative of 9*m**3/2 + 14*m**2 + 18*m. Find the first derivative of i(w) wrt w.
27
Suppose 3*a = 20 - 2. Suppose 3*f = 4*f. Differentiate f*j**3 + 4 - 2*j**3 - a with respect to j.
-6*j**2
Let w = -2 - -6. Suppose 1 = -5*z + 11. Find the third derivative of z*n**4 + 2*n**2 - 4*n**4 + n**w wrt n.
-24*n
Let j(l) be the second derivative of l**5/5 + 7*l**4/12 + 3*l. Find the third derivative of j(h) wrt h.
24
Let q(v) = v**2 - 6*v + 7. Let a be q(5). Find the third derivative of n**a + 4*n**4 - n**4 + 0*n**2 wrt n.
72*n
Let g(y) be the second derivative of -y**5/10 + y**4/6 - 13*y. What is the third derivative of g(l) wrt l?
-12
Suppose 2*t - 5*l = 33, -3*t = -l - 0*l - 17. What is the first derivative of -5*i**4 - 2*i**t + 1 + 1 + i**4 wrt i?
-24*i**3
Differentiate -2*j - 1 + 1 + 4 + 4 wrt j.
-2
Let w be (9 + -7)/((-2)/(-5)). What is the second derivative of -5*f**w + 7*f**5 - f + 0*f**5 wrt f?
40*f**3
Let x be (-19)/(-4) + (-4)/(-16). Find the second derivative of -2*l + 3*l + 0*l - 2*l**x wrt l.
-40*l**3
What is the third derivative of 12*t**3 - 382 - 2*t + 5*t**2 + t**2 + 382 + 2*t**4 wrt t?
48*t + 72
Let r(i) be the second derivative of i**7/21 - 2*i**6/3 - 3*i**4/2 + i**3/3 - 2*i + 1. What is the third derivative of r(x) wrt x?
120*x**2 - 480*x
Let j(k) be the first derivative of -4*k**6 - 6*k**2 - 27. What is the second derivative of j(c) wrt c?
-480*c**3
Let h(z) = 27*z**3 - 2*z**2 - 50. Let p(y) = 55*y**3 - 5*y**2 - y - 100. Let v(q) = 5*h(q) - 2*p(q). Differentiate v(m) wrt m.
75*m**2 + 2
Let i(p) be the second derivative of -4*p + 0*p**2 + 0*p**5 + 1/6*p**3 + 1/10*p**6 + 0*p**4 + 0. Find the second derivative of i(m) wrt m.
36*m**2
Let m = 10 + -4. Find the third derivative of 7*y**2 + 2*y**m - 2*y**6 - y**6 - 2*y**2 wrt y.
-120*y**3
Let i(y) be the second derivative of -27*y**5/20 - y**4/12 - 28*y**2 - 27*y. Differentiate i(n) with respect to n.
-81*n**2 - 2*n
Suppose 39 + 4 = 5*i - 3*z, -4*i = -3*z - 35. Suppose 3*x - x = -2*h - 2, 0 = 2*x + 5*h + i. Differentiate -1 + 3*n**4 - x + 0 wrt n.
12*n**3
Let a(h) = 23*h**3 + 93*h**2 + 9*h - 9. Let l(p) = -6*p**3 - 23*p**2 - 2*p + 2. Let y(c) = 2*a(c) + 9*l(c). What is the third derivative of y(k) wrt k?
-48
Let s(r) be the second derivative of 5/2*r**2 - 5*r + 0 - 5/6*r**3. Differentiate s(n) with respect to n.
-5
Let f be 1 + 2*(-3)/6. L