k**4 + k**b wrt k.
24*k
Let i(y) be the third derivative of y**8/56 - y**5/30 - 3*y**2. What is the third derivative of i(x) wrt x?
360*x**2
Let a(g) = g**3 + g. Let i(r) = -2*r**3 - 7*r. Let x(m) = -22*a(m) - 2*i(m). Find the second derivative of x(c) wrt c.
-108*c
Let v(d) be the second derivative of 5*d**4/3 + 7*d**2/2 - 5*d. What is the first derivative of v(f) wrt f?
40*f
What is the second derivative of 12*i - 1014 - 2*i**5 + 1014 wrt i?
-40*i**3
Differentiate 10 - 15 - 9*g**4 + 31*g**4 with respect to g.
88*g**3
Let w(d) = 8*d**2 - 9. Let k(m) = 4*m**2 - 5. Let a(r) = 13*k(r) - 6*w(r). What is the derivative of a(v) wrt v?
8*v
Let j(b) be the first derivative of 9*b**7/7 - 4*b**3 + 10. Find the third derivative of j(y) wrt y.
1080*y**3
Let v(p) be the first derivative of -1/2*p**4 + 4/3*p**3 + 0*p + 0*p**2 - 2. Find the third derivative of v(u) wrt u.
-12
Let w(x) be the first derivative of x**8/840 + 5*x**4/24 - 7*x**3/3 + 7. Let o(a) be the third derivative of w(a). Differentiate o(j) wrt j.
8*j**3
Let t(n) be the first derivative of 2*n**6/15 + n**4/12 - 4*n + 2. Let p(m) be the first derivative of t(m). What is the third derivative of p(h) wrt h?
96*h
Let v(z) be the second derivative of 3*z**3/2 + 4*z**2 - z. What is the derivative of v(w) wrt w?
9
Let t(u) be the first derivative of -u**6/2 - 2*u**3 + 1. Find the third derivative of t(g) wrt g.
-180*g**2
Let i(t) be the second derivative of -5*t**7/42 - t**3/2 - 4*t. Find the second derivative of i(y) wrt y.
-100*y**3
Let d(j) be the second derivative of j**5/60 + j**4/12 - j**2/2 - j. Let q(p) be the first derivative of d(p). What is the second derivative of q(r) wrt r?
2
Let x(v) = -8*v + 20. Let l(a) = 3*a - 7. Let p(z) = -17*l(z) - 6*x(z). Find the first derivative of p(w) wrt w.
-3
Let x(a) = a**5 + a**2 - a. Let u(h) = 13*h**5 + 6*h**2 - 7*h. Let b(z) = -u(z) + 6*x(z). Find the second derivative of b(v) wrt v.
-140*v**3
Suppose 7*n - 3*n = -4. Let t(d) = -d**3. Let x(a) = 7*a**3 + 5. Let w(z) = n*x(z) - 6*t(z). Find the first derivative of w(v) wrt v.
-3*v**2
Let t(d) be the second derivative of -d**6/5 + 2*d**3/3 - 3*d. Find the second derivative of t(b) wrt b.
-72*b**2
Suppose -10 = -4*l - 2. What is the derivative of 9*h**2 - 1 + 0 - 5*h**l wrt h?
8*h
Let g(l) be the second derivative of -17*l**5/10 + 13*l**4/6 - 37*l. What is the third derivative of g(s) wrt s?
-204
Let i(n) be the second derivative of 0*n**2 + 0*n**5 + 1/15*n**6 + 11/6*n**3 + 0*n**4 + 0 + 4*n. Find the second derivative of i(s) wrt s.
24*s**2
Let s = 10 - 5. Find the second derivative of 6*j**5 + 6*j**5 - 9*j**s + j wrt j.
60*j**3
Suppose a - 4 = -1. Suppose x + a*x + 8 = 4*l, 3*l = -3*x + 6. Find the second derivative of 2*w + w - 2*w**4 - l*w wrt w.
-24*w**2
Let i(m) be the third derivative of -m**7/210 - m**6/30 + 23*m**5/60 - m**3/2 - 55*m**2. What is the third derivative of i(b) wrt b?
-24*b - 24
Find the third derivative of -19*m**2 + 25*m**2 - 34*m**2 + 33*m**5 wrt m.
1980*m**2
Let b(a) = -7*a**3 + 2*a**2 + 8. Let i(h) = 15*h**3 - 5*h**2 - 16. Let k(p) = 5*b(p) + 2*i(p). Differentiate k(w) wrt w.
-15*w**2
Let b(v) be the first derivative of -v**9/3024 + v**6/72 + 2*v**3/3 - 5. Let z(c) be the third derivative of b(c). What is the third derivative of z(k) wrt k?
-60*k**2
Suppose y + 7 - 38 = 0. What is the second derivative of 38*g**3 + 0*g - y*g**3 - 2*g wrt g?
42*g
Let x(u) be the second derivative of 0*u**2 + 1/10*u**5 + 0 + 4*u + 1/2*u**4 + 0*u**3. What is the third derivative of x(k) wrt k?
12
Let b be (-3 + 2 - 1) + 2. Suppose 2*f = -b*f. What is the third derivative of -i**2 + f - i**6 + 0 wrt i?
-120*i**3
What is the first derivative of -3 + 318*a**2 - 308*a**2 + 23 + 5*a - 3*a wrt a?
20*a + 2
Let q be ((-7)/(-3))/(3/(-9)). Let b be ((-2)/(-4))/(q/(-42)). What is the third derivative of j**6 - j**6 + 3*j**6 - b*j**2 wrt j?
360*j**3
Let p(y) = 6*y**2 - 205*y - 11. Let d(i) = -i**2 + 41*i + 2. Let z(r) = 11*d(r) + 2*p(r). What is the second derivative of z(x) wrt x?
2
Let t(s) be the second derivative of s**3/2 - 2*s**2 + 2*s. Let w be t(3). Differentiate w*k - k**2 - 5*k - 1 wrt k.
-2*k
Let o(h) be the second derivative of h**7/14 - 2*h**4/3 - 4*h. Find the third derivative of o(q) wrt q.
180*q**2
Suppose 2 - 6 = -2*x. Differentiate -x*q**2 + 2*q**4 + 2*q**2 + q**4 + 1 wrt q.
12*q**3
Let m(p) = 19*p - 6. Let i(v) = 19*v - 7. Let n(c) = -3*i(c) + 2*m(c). Find the first derivative of n(r) wrt r.
-19
Let k(l) be the second derivative of 0*l**2 + 1/6*l**4 + 0*l**3 + 0 + 0*l**5 - 6*l + 5/42*l**7 + 0*l**6. What is the third derivative of k(o) wrt o?
300*o**2
Let l(h) = -2*h**2 - 25*h - 7. Let a(c) = 3*c**2 + 26*c + 6. Let b(z) = -7*a(z) - 6*l(z). What is the second derivative of b(n) wrt n?
-18
Let k be (-2)/7 - (-32)/14. Let g(a) = a**2 + 9*a + 10. Let d be g(-8). What is the third derivative of -2*f**6 - 3*f**2 + 3*f**d - 3*f**k wrt f?
-240*f**3
Suppose -16 = 2*t + 5*h, h + h + 16 = 4*t. What is the first derivative of -1 + 4 + 0*n + t*n + 1 wrt n?
2
Let v(c) = -5*c**2 + 2*c. Let k(f) = f**2. Suppose 6*l = l - 5. Let p be l/2 - 3/(-2). Let j(m) = p*v(m) + 2*k(m). Find the second derivative of j(h) wrt h.
-6
Let d(q) = q**3 - 7*q**2 + 6*q + 3. Let s be d(6). Differentiate -3 - s*w + 6*w - w - 3*w with respect to w.
-1
Let c = -6 - -9. What is the second derivative of -5*p**3 + 5*p + 3*p**3 + 4*p**c wrt p?
12*p
Let o be (-4)/14 + 18/14. Find the first derivative of 2*i**3 + o + i - i wrt i.
6*i**2
What is the derivative of -6*v - v - 10 - 4*v + v wrt v?
-10
Let w(h) = -3*h**4 - 3*h**3 - 8*h**2 - 7*h. Let q(a) = 4*a**4 + 3*a**3 + 9*a**2 + 7*a. Let y(r) = -5*q(r) - 6*w(r). What is the third derivative of y(t) wrt t?
-48*t + 18
Let d(v) = 8*v**3 - 28*v**2 - 10*v. Let i(z) = -3*z**3 + 9*z**2 + 3*z. Let w(r) = 6*d(r) + 20*i(r). Find the third derivative of w(u) wrt u.
-72
Let w = 1 + 1. Differentiate 3*o - 7*o - w + 2*o with respect to o.
-2
Let n be (-9)/(-5) + (-5)/(-25). What is the third derivative of -2*y - y**n + y + y - y**4 wrt y?
-24*y
Let z(p) = 2*p**2 - p - 1. Let a be z(-1). Find the second derivative of 2*y - y**a + y - y wrt y.
-2
Let i(y) be the second derivative of -11*y**6/30 - 7*y**2/2 - 10*y. What is the first derivative of i(n) wrt n?
-44*n**3
Let w(v) be the first derivative of 13*v**4/4 + 5*v**2 + 7. What is the second derivative of w(c) wrt c?
78*c
Suppose -3*b + 18 = -3*q, -4*b + 0*b - 5*q = 12. Suppose 6*w = b*w + 8. What is the third derivative of -14*m + 14*m - 3*m**2 + 0*m**w + 2*m**3 wrt m?
12
Let b(n) be the third derivative of n**7/210 + n**6/120 + n**4/12 + n**3/3 + 17*n**2. Find the second derivative of b(q) wrt q.
12*q**2 + 6*q
Let i(p) = -21*p**4 + 21*p**2 - 5*p. Let d(x) = 52*x**4 - 52*x**2 + 12*x. Let b(t) = -5*d(t) - 12*i(t). Find the third derivative of b(a) wrt a.
-192*a
Let s(a) = -a**3 - 1. Let u(r) = -5*r**3 - 4*r - 6. Let z be (-225)/(-36) + 2/(-8). Let q(c) = z*s(c) - u(c). Find the second derivative of q(y) wrt y.
-6*y
Let i be 2/5 - (-72)/20. Suppose -k = -5*x - 16, i*x = -3*k + 2 + 8. What is the third derivative of 2*p**2 + 0*p**6 + 2*p**6 - 3*p**k wrt p?
-120*p**3
Let j(h) be the third derivative of -13*h**7/210 + h**4/24 - 32*h**2. Find the second derivative of j(r) wrt r.
-156*r**2
Let w(r) be the third derivative of r**7/21 + 3*r**3/2 - 9*r**2. What is the derivative of w(g) wrt g?
40*g**3
Find the third derivative of -322*z**5 + 322*z**5 + 14*z**6 + 14*z**2 wrt z.
1680*z**3
Let c(k) be the third derivative of -k**5/4 + 5*k**4/24 + 3*k**2. Find the second derivative of c(p) wrt p.
-30
Let c(w) be the first derivative of 2*w**5 - 3*w**2/2 - 2. What is the second derivative of c(z) wrt z?
120*z**2
Let l(t) be the first derivative of -6*t**5/5 + t**4 - 29*t**3/3 + t**2 - 30. Find the third derivative of l(h) wrt h.
-144*h + 24
Let b(t) = 5*t**5 + 2*t**4 - 2*t**3 + 17*t**2 - 2*t - 2. Let r(a) = -a**4 + a**3 + a + 1. Let q(m) = b(m) + 2*r(m). What is the third derivative of q(s) wrt s?
300*s**2
Let u(j) = -2*j + 16. Let s be u(7). Find the third derivative of 5*m**6 - m**6 + 7*m**s + 6*m**6 - 3*m**6 wrt m.
840*m**3
Let k = -6 + 11. What is the second derivative of -6*x**5 + 3*x**5 + k*x - 4*x wrt x?
-60*x**3
Let m(q) be the third derivative of -q**4