- 7. Let s(l) = 4*f(l) + w(l). Let p(v) be the first derivative of s(v). Differentiate p(h) wrt h.
-6*h
Let f(y) = -y. Let w = 3 + -4. Let k = w - 0. Let q(p) = p**2 + 3*p. Let m(x) = k*q(x) - 2*f(x). Find the second derivative of m(o) wrt o.
-2
What is the first derivative of -3 + 0*q - 3*q + 1 wrt q?
-3
Let u(v) = -3*v**4 + 4*v**3 - 4*v**2 + 6. Let t(x) = -4*x**4 + 5*x**3 - 5*x**2 + 5. Let c(h) = 4*t(h) - 5*u(h). What is the first derivative of c(w) wrt w?
-4*w**3
Differentiate 7 + 8 + 4*p**2 + 0*p + 0*p wrt p.
8*p
Find the third derivative of 3*h**2 - 16*h**4 + 3*h**4 + 0*h**2 wrt h.
-312*h
Let p(t) be the third derivative of 3*t**7/35 + 43*t**3/6 + 3*t**2 - 4*t. Find the first derivative of p(y) wrt y.
72*y**3
Let y(p) = 16*p**5 - 9*p**4 + 4*p**2 + 9*p. Let a(l) = 4*l**5 - 2*l**4 + l**2 + 2*l. Let m(q) = 9*a(q) - 2*y(q). Find the third derivative of m(i) wrt i.
240*i**2
Suppose q + 3*q + 2 = 2*o, 4*q - 3*o = -7. Let v(m) be the first derivative of -1/5*m**5 + 0*m**4 + 0*m**2 - 2*m - q + 0*m**3. Differentiate v(a) wrt a.
-4*a**3
Let s(n) = -n**3 - 3*n**2 + 2. Let u be s(-3). Let k = 2 + u. Differentiate -2 - a**2 - 3 + k with respect to a.
-2*a
Suppose 5 = 2*z - 3. Let d(s) be the third derivative of 0 + 1/24*s**z + 0*s**3 + 0*s - 1/30*s**5 + 2*s**2. Find the second derivative of d(c) wrt c.
-4
Let h(y) = -y**4 + 6*y**3 + 8. Let b = -4 - -9. Let l(v) = 5*v**3 + 7. Let w(f) = b*h(f) - 6*l(f). What is the derivative of w(a) wrt a?
-20*a**3
Suppose -3*x - 2*x = -60. What is the derivative of -6*l - 5 + 22*l - x*l wrt l?
4
Let r(u) = -21*u**5 + 30*u**2 - 8*u. Let n(z) = -7*z**5 + 10*z**2 - 3*z. Let k(c) = -8*n(c) + 3*r(c). What is the third derivative of k(x) wrt x?
-420*x**2
Find the second derivative of 13*b - 12*b**5 + 4*b**5 - 4*b wrt b.
-160*b**3
Let r(p) = p**5 + p**4 + p**3 + p**2 - p. Let g(z) = -22*z**5 + z**4 + z**3 - 24*z**2 - z. Let l(h) = g(h) - r(h). Find the third derivative of l(d) wrt d.
-1380*d**2
Let j be (-2)/(-2) + -1 - -4. Suppose 0 = -j*v - 8 + 28. What is the second derivative of -i + i**v - 3*i**5 + 0*i wrt i?
-40*i**3
Let u(y) = -5*y**2 + 1. Let c be u(-1). Let i be (3 - 2)/(c/(-12)). Find the third derivative of 3*z**2 - i*z**5 + 4*z**2 - 3*z**2 wrt z.
-180*z**2
Let l(j) be the second derivative of 29*j**5/10 - 65*j**2/2 - j + 14. What is the first derivative of l(z) wrt z?
174*z**2
Let i(u) be the second derivative of 0 - 2*u**2 - 2*u + 1/3*u**3. Find the first derivative of i(c) wrt c.
2
Let j(x) = -x. Let g(m) = 11*m**2 - 14*m. Let n(y) = g(y) - 5*j(y). Find the second derivative of n(o) wrt o.
22
Let u = -29 - -35. What is the second derivative of -1 + 4*q - u*q**5 - q + 1 wrt q?
-120*q**3
Let i(s) = s**3 - 6*s**2 - 8*s + 9. Let p be i(7). Find the third derivative of -5*z**p + z**3 + z**2 - 4*z**3 + 5*z**2 wrt z.
-18
What is the third derivative of -4*o**2 + 7*o**2 - 10*o**2 - 6*o**6 wrt o?
-720*o**3
Suppose -2*n + n = -2. Find the second derivative of -a**n - 2*a - a + a wrt a.
-2
Let r(c) = -2*c + 1. Let y(a) = 12*a + 11. Let m(f) = -2*r(f) + y(f). Differentiate m(q) wrt q.
16
Find the second derivative of 6*s + 3*s**4 + 279 - 279 wrt s.
36*s**2
Let q = 9 + -5. Suppose -3*x = 0, q*s - 4 - 16 = 3*x. Find the second derivative of -3*m + m**3 - 3*m + s*m wrt m.
6*m
Let z(h) = h - 6. Let r(q) = q**2 - 2*q + 4. Let u be r(3). Let x be z(u). What is the second derivative of l**3 + 0 - l + x - 1 wrt l?
6*l
Let k(n) = 5*n**3 + 3*n**2 - 2*n. Let c(v) = 15*v**3 + 8*v**2 - 7*v. Let l(t) = 2*c(t) - 7*k(t). Find the third derivative of l(r) wrt r.
-30
Let q(r) = -r**2 - 5*r + 1. Let c be q(-5). Suppose -x + c = -1. What is the third derivative of 3*n**4 + 3*n**4 - 4*n**4 + 5*n**x - 4*n**2 wrt n?
48*n
Suppose -3*r + 12 = -2*f - 2, -4*r - 8 = 4*f. Let x = 4 + 0. Differentiate z**x - 2*z**4 + 3*z**4 - r with respect to z.
8*z**3
Let g(s) be the first derivative of -27*s**7/7 - 23*s**3/3 - 8. What is the third derivative of g(c) wrt c?
-3240*c**3
Let d(z) = -3*z**4 + 4*z - 4. Let k(g) = -2*g**4 + 3*g - 5. Let t(s) = 3*d(s) - 4*k(s). Differentiate t(b) wrt b.
-4*b**3
Let v(n) be the third derivative of -n**6/5 - n**4 + 41*n**2. Find the second derivative of v(p) wrt p.
-144*p
Let z = -3 - -5. Let m = -55 - -57. Find the third derivative of 0*g**m - g**6 - g**6 + z*g**2 wrt g.
-240*g**3
Let u(s) be the first derivative of -8*s**7/7 - 14*s**3/3 + 21. Find the third derivative of u(y) wrt y.
-960*y**3
What is the third derivative of -4*q**3 - 3*q**3 + 5*q**2 + 0*q**2 - 7*q**3 wrt q?
-84
Let l(g) be the second derivative of -3*g**7/14 - 4*g**3/3 - 13*g. Find the second derivative of l(o) wrt o.
-180*o**3
Find the second derivative of 4*o + 6*o - 8*o**5 - 13*o wrt o.
-160*o**3
Suppose -4 = l - 3*x, -2*l + 6 = -0*l + x. Let r be 54/10 - 2/5. What is the third derivative of 9*a**2 - l*a**r - 10*a**2 + 4*a**5 wrt a?
120*a**2
Let t(f) be the first derivative of -2 + 2/5*f**5 + 0*f + 0*f**3 + 0*f**4 - 3/2*f**2. What is the second derivative of t(s) wrt s?
24*s**2
Let d(b) be the third derivative of 13*b**7/210 + b**3/3 + 28*b**2. Find the first derivative of d(x) wrt x.
52*x**3
Let q be 3/((-3)/6*-3). What is the derivative of -q + 6 + 2*g**3 - g**3 wrt g?
3*g**2
Find the first derivative of 18 - 5*h - 3 + 2*h - 5 wrt h.
-3
Let r(n) be the third derivative of -n**8/14 + 9*n**5/20 + 26*n**2. What is the third derivative of r(w) wrt w?
-1440*w**2
What is the first derivative of 10 - 28*a**2 + 28*a**2 + 11*a**4 wrt a?
44*a**3
Let z(p) = -11*p + 16. Let k(x) = -9*x + 17. Let d(j) = -3*k(j) + 4*z(j). Differentiate d(o) with respect to o.
-17
Suppose 3*f = 6*f. Let s(a) be the second derivative of 0*a**4 - 2*a - 1/30*a**6 + 1/3*a**3 + f + 0*a**2 + 0*a**5. Find the second derivative of s(l) wrt l.
-12*l**2
Let v(d) = 6*d**3 - 2*d + 2. Let s(l) = 25*l**3 - 9*l + 8. Let x(q) = 4*s(q) - 18*v(q). Differentiate x(f) with respect to f.
-24*f**2
What is the derivative of 283*n**2 - 277*n**2 + 2 + 3 wrt n?
12*n
Let x(t) = -t + 12. Let i(c) = 2*c - 13. Let o(f) = -4*i(f) - 5*x(f). Differentiate o(n) wrt n.
-3
Let b be (-12)/9*(-9)/3. Let t be 6 + (b - 1 - 3). Find the first derivative of 1 + 3*q**4 - t*q**4 + q**4 wrt q.
-8*q**3
Suppose 2*c - j = c + 5, j = 4*c - 14. What is the third derivative of c*r**3 + 0*r**2 - r**3 + 6*r**2 wrt r?
12
Let l = 15 + -9. Find the third derivative of -l*h**3 + 5*h**3 - 2*h**2 + 4*h**3 wrt h.
18
Let r(d) = 216*d - 39. Let n(j) = 43*j - 8. Let v(i) = 21*n(i) - 4*r(i). What is the derivative of v(m) wrt m?
39
Let u be (2 - 4 - -2)/2. Let q(i) be the first derivative of i**2 - 1 - 1/6*i**6 + u*i**5 + 0*i**3 + 0*i + 0*i**4. What is the second derivative of q(f) wrt f?
-20*f**3
What is the first derivative of -8 + 58*a + 12*a**2 - 58*a wrt a?
24*a
Find the third derivative of 13*r**2 - 12*r**6 - 27 - r**3 + 11 + 14 wrt r.
-1440*r**3 - 6
Let h(i) = -4*i**4 + 3*i**3 + 9*i**2 - 3*i. Let s(r) = r**3 - r**2 - r. Let n(k) = -h(k) + 3*s(k). What is the third derivative of n(b) wrt b?
96*b
Let t be 2*-2*12/(-16). Find the third derivative of -3*u**2 - 7*u**4 + 0*u**2 + t*u**4 wrt u.
-96*u
Let f(o) be the first derivative of -o**10/2520 - o**6/120 - o**3/3 - 2. Let v(g) be the third derivative of f(g). What is the third derivative of v(h) wrt h?
-240*h**3
Differentiate 6*d**3 + 6142*d**2 - 6142*d**2 - 18 with respect to d.
18*d**2
Suppose -j = 3*i - 14, -3 = -3*j - i + 7. Let f be (-1)/((-2)/(-4)*-1). Find the second derivative of -2*z - 2*z**4 + z**f - z**j wrt z.
-24*z**2
Let y(i) = -i**2 - 7*i + 7. Let c be y(-7). Find the second derivative of -2*r + c - 4*r**4 - 7 wrt r.
-48*r**2
Let w(s) = 6*s**4 + 6*s**3 + 6*s**2 + 6*s + 15. Let y(h) = h**4 - h**3 - h**2 - h + 1. Let p(d) = -w(d) - 6*y(d). Differentiate p(x) with respect to x.
-48*x**3
Let g(y) be the second derivative of y**9/15120 + y**6/240 - y**4/6 + y. Let x(s) be the third derivative of g(s). What is the second derivative of x(k) wrt k?
12*k**2
Let m(u) = u**2 + u + 1. Let t(h) = -16*h**2 + 2*h + 1. Let j(s) = m(s) - t(s). Find the second derivative of j(v) wrt v.
34
Let c(x) be the third derivative of -11*x**8/336 - 5*x**5/12 + 12*x**2. Find the third derivative of c(o) wrt o.
-660*o**2
Let b(s) be the second derivative of -3*s**7/14 + 19*s**4/12 - 28*s. Find the thi