w + 0 - 7*w - y with respect to w.
12*w**3
Let a(f) = 7*f**3 + 4*f**2 + 4*f - 38. Let x(s) = -35*s**3 - 22*s**2 - 20*s + 189. Let i(z) = -11*a(z) - 2*x(z). Find the first derivative of i(v) wrt v.
-21*v**2 - 4
Let a(h) = h**4 - 3*h**3 + 3*h**2 - 3*h - 8. Let q(p) = p**3 - p**2 + p + 1. Let c(j) = -a(j) - 3*q(j). What is the derivative of c(x) wrt x?
-4*x**3
Let o(g) be the third derivative of -13*g**4/24 - g**3/3 - 3*g**2. Let l(s) = -9*s - 1. Let t(v) = -7*l(v) + 5*o(v). Differentiate t(i) wrt i.
-2
Let t be -1*(-4)/6*12/20. Let a(m) be the first derivative of 0*m - t*m**5 + 2 + m**2 + 0*m**4 + 0*m**3. Find the second derivative of a(s) wrt s.
-24*s**2
Let t = 10 + -7. What is the derivative of -t - 5*l - 1 + 8 + 1 wrt l?
-5
Let f(g) be the first derivative of g - 5/2*g**2 - 6. What is the derivative of f(s) wrt s?
-5
Let d(u) = u**5 + u**2 - u - 1. Let p(q) = 23*q**5 - 3*q**2 - 14*q + 3. Let i(m) = 6*d(m) + 2*p(m). What is the second derivative of i(c) wrt c?
1040*c**3
Let b(f) = 13*f + 52. Let y(r) = -3*r - 13. Let t(s) = -2*b(s) - 9*y(s). Differentiate t(q) with respect to q.
1
Let u(v) = 7*v**4 + 6*v**2 - 14*v - 6. Let i(l) = 22*l**4 + 17*l**2 - 43*l - 17. Let j(t) = 6*i(t) - 17*u(t). Find the second derivative of j(z) wrt z.
156*z**2
Let m(s) be the second derivative of -3*s**8/14 + s**4/2 - 6*s. What is the third derivative of m(q) wrt q?
-1440*q**3
Let h = 12 - 9. Suppose 2*f = 2*n + 4, f + n - 5 = -h. Find the second derivative of a**2 + 2*a + 4*a**f - 2*a**2 + 0*a wrt a.
6
What is the third derivative of 14*k**2 - 2*k + 2*k - 16*k**6 + k**6 wrt k?
-1800*k**3
Suppose a - b = 4*b - 12, 5*b - 21 = -2*a. Find the first derivative of -5 + 2*n**3 + 2*n**3 - 5*n**a - 2*n**3 wrt n.
-9*n**2
Let z(q) be the second derivative of 0 + 5*q + 0*q**5 + 3/2*q**2 + 0*q**3 - 1/10*q**6 + 0*q**4. Differentiate z(b) wrt b.
-12*b**3
What is the derivative of 709 - 727 - k**3 + 12*k**4 + 2*k**4 wrt k?
56*k**3 - 3*k**2
Let i(a) be the second derivative of a**2 + 0 + 0*a**4 + 0*a**3 + 3/20*a**5 - a. What is the derivative of i(n) wrt n?
9*n**2
Let x be 47/(-5) - 4/(-10). Let i(a) = -5*a**2 - 5. Let s(q) = 21*q**2 + 21. Let o(h) = x*i(h) - 2*s(h). What is the first derivative of o(k) wrt k?
6*k
Find the third derivative of -92*f**5 + 106*f**5 - 2*f**2 - f**2 wrt f.
840*f**2
Find the second derivative of -648*o**2 + o - 11*o**4 + 648*o**2 wrt o.
-132*o**2
Let u(a) be the first derivative of 5*a**4/4 + 7*a**2 + 18. Find the second derivative of u(o) wrt o.
30*o
Let g = -13 + 19. Find the third derivative of -3*h**2 - 4*h**2 + 9*h**2 - g*h**4 wrt h.
-144*h
Find the third derivative of -21*f**4 + 52*f**2 - 3*f**4 - 49*f**2 wrt f.
-576*f
Find the second derivative of -13*j**4 - 16*j + 22*j - 13*j wrt j.
-156*j**2
Suppose 0 = -y + 8 - 3. Find the second derivative of q**y - 3*q + 5*q**5 - 6*q wrt q.
120*q**3
Let y(w) = 3*w**3 - w**2 - w - 1. Suppose -4*i = 7 - 3. Let a(g) = g**2 + g - 1. Let z(r) = i*y(r) - a(r). Differentiate z(m) with respect to m.
-9*m**2
Let q(j) = -21*j**5 + 7*j**4 + 7*j**3 - j. Let v(y) = -21*y**5 + 6*y**4 + 6*y**3 - y. Let n(u) = 6*q(u) - 7*v(u). Find the second derivative of n(s) wrt s.
420*s**3
Let p(b) be the third derivative of b**6/30 + b**5/10 - 16*b**2. Find the third derivative of p(q) wrt q.
24
Let d(s) be the third derivative of s**9/36 - 19*s**5/60 + 23*s**2. Find the third derivative of d(a) wrt a.
1680*a**3
Let w(v) = -20*v**2 + 17. Let d be (66/18)/(1/(-3)). Let m(q) = 7*q**2 - 6. Let p(r) = d*m(r) - 4*w(r). Differentiate p(b) wrt b.
6*b
Let k(z) = z**2 - z - 1. Let j(v) = 11*v**2 - 4*v + 8. Let r(n) = -j(n) + 4*k(n). Differentiate r(m) wrt m.
-14*m
Let q(f) be the third derivative of -3*f**5/20 - 5*f**4/24 - 17*f**2. What is the second derivative of q(u) wrt u?
-18
Let i be 26/10 + (-2)/(-5). What is the derivative of 0*q**3 + 1 + i*q**3 - 1 + 3 wrt q?
9*q**2
Suppose 2*i = 2*w - 2, i = 4*w - 2*w - 3. Let j be (3 + -4 - -5) + -2. Find the first derivative of -3*v + 1 - 4 + 3*v + w*v**j wrt v.
4*v
Let x(g) = 8 + 5*g**4 - 7*g**4 + 2*g + 2*g. Let s(u) = -u**4 + 5*u + 8. Let o(t) = 4*s(t) - 5*x(t). Differentiate o(d) with respect to d.
24*d**3
Let n(s) be the first derivative of 0*s + 3 + 5/3*s**3 - 7/2*s**2. Find the second derivative of n(t) wrt t.
10
Let m = 2 - -1. What is the first derivative of -m*s**4 + 2 + 2 + 6*s**4 wrt s?
12*s**3
Let i = 4 - 2. Suppose 6 = i*y - 2. What is the third derivative of 0*l**4 - 3*l**2 + l**y + 0*l**2 wrt l?
24*l
Let y(p) = 7*p**2 - 3*p - 6. Let z(o) = 15*o**2 - 6*o - 13. Let k(n) = 13*y(n) - 6*z(n). Find the second derivative of k(j) wrt j.
2
Let n = 28 - 9. Find the first derivative of h**2 + n*h - 19*h + 2 wrt h.
2*h
Let l(p) be the third derivative of 3*p**4/8 + 5*p**3/6 - 6*p**2. Differentiate l(x) with respect to x.
9
Let z(d) = -d**2 + 9*d + 14. Let o(n) = -11*n**3 - n**2 - n - 1. Let k be o(-1). Let g be z(k). Find the first derivative of 0 - 2 + g*s**3 + 4 wrt s.
12*s**2
Let h(j) be the second derivative of -j**5 - 23*j**4/12 - 3*j. Find the third derivative of h(d) wrt d.
-120
Let d(p) be the third derivative of -p**8/840 - p**5/30 + 2*p**3/3 + 2*p**2. Let q(y) be the first derivative of d(y). Find the second derivative of q(o) wrt o.
-24*o**2
Suppose -5 = -n - 3. Let i be (n - 1)/((-3)/(-9)). Differentiate -v**3 - 1 + 3 + i*v**3 with respect to v.
6*v**2
Suppose 0 = -2*m - 3*m + 5*n, 0 = -3*m - 3*n + 18. What is the third derivative of 0*x**3 + x**m + 0*x**2 + 3*x**3 + 2*x**2 wrt x?
24
Let c(v) be the third derivative of -59*v**7/210 + v**4/6 + 7*v**3/6 - 19*v**2 + 3*v. What is the second derivative of c(o) wrt o?
-708*o**2
Suppose -2*u - 2 = -8. Let q = u - 3. Find the third derivative of 0*y**2 - 2*y**2 + 2*y**3 + q*y**3 wrt y.
12
What is the third derivative of -182 + 24*f**2 + 182 - 11*f**5 wrt f?
-660*f**2
Let z be (-8)/3*(-12)/8. Find the third derivative of 2*r**2 - 3*r**z + 0*r**4 + 0*r**4 + 4*r**2 wrt r.
-72*r
Let t be -2*1*(-1)/4. Let g(z) be the second derivative of -t*z**2 - z + 0*z**3 + 0 + 1/6*z**4. What is the first derivative of g(m) wrt m?
4*m
Let f(b) = b**3 - 8*b**2 - b + 10. Let c be f(8). Find the second derivative of 6*u - 8*u**2 - 13*u**c + 21*u**2 + 4*u**3 wrt u.
24*u
Let y(z) be the first derivative of -z**8/336 + z**5/12 - z**2/2 + 2. Let u(o) be the second derivative of y(o). Find the third derivative of u(k) wrt k.
-60*k**2
Let d = -13 - -18. What is the second derivative of -4*r - 6 + 3*r**d + 2*r + 6 wrt r?
60*r**3
Find the first derivative of 766*m**2 - 766*m**2 - 1 - 23*m**3 wrt m.
-69*m**2
Let r(a) be the second derivative of a**8/240 - a**4/4 + a**3 + 8*a. Let u(w) be the second derivative of r(w). Differentiate u(y) wrt y.
28*y**3
Let c(o) = -5*o**3 - 44*o**2 - 6. Let z(t) = -1. Let r(f) = -c(f) + 6*z(f). What is the third derivative of r(x) wrt x?
30
Suppose 3*q - 18 + 3 = 0. Let d(l) = -l**3 + 4*l**2 + 5*l + 2. Let w be d(q). What is the third derivative of 2*k**2 + 3*k**5 + k**5 - w*k**5 wrt k?
120*k**2
What is the first derivative of 13 - 5*v + 9 - 7 - 5*v**4 wrt v?
-20*v**3 - 5
Let o(s) = -4*s**2 - 1. Let n(h) = -5*h**2 - 1. Suppose -2*q = 3*v + 4, 7 = -3*v - q + 2. Let u(c) = v*o(c) + 3*n(c). Differentiate u(k) with respect to k.
-14*k
Let x = -18 - -24. Find the first derivative of -9*d**3 - 3*d**3 + x - 5*d**3 + 18*d**3 wrt d.
3*d**2
Let i(w) be the first derivative of 0*w + 6 - 5/2*w**2 - 2/3*w**3. What is the second derivative of i(u) wrt u?
-4
Let z(t) be the third derivative of 2*t**2 + 1/24*t**4 + 0*t**5 + 1/120*t**6 + 0*t + 0 + 0*t**3. What is the second derivative of z(q) wrt q?
6*q
Let z(f) = 2*f - 8. Let t(i) = -4*i + 17. Suppose -3*n + 17 + 3 = -2*v, n - 7 = v. Let q(r) = n*t(r) + 13*z(r). Differentiate q(x) wrt x.
2
Let l(g) = g. Let u be -1*(-1)/2*0. Let b be l(u). Find the third derivative of 5*x**3 - 4*x**3 + 3*x**2 + b*x**3 wrt x.
6
Let s(p) be the third derivative of 3*p**6/20 - 2*p**5/5 - 27*p**2. What is the third derivative of s(v) wrt v?
108
Let c(q) be the third derivative of 0*q**3 + 0*q + 0 - 1/60*q**6 + 0*q**4 - 7*q**2 - 1/12*q**5. Find the third derivative of c(w) wrt w.
-12
Let i(s) be the third derivative of s**7/504 + s**5/30 - 5*s**4/24 + 3*s**2. Let a(p) be the second derivative of i(p). Differentiate a(g) wr