ivative of g(f) wrt f.
336*f**2
Let a(v) be the first derivative of 65*v**7 - v**3 - 12*v**2 + 184. What is the third derivative of a(g) wrt g?
54600*g**3
Suppose 9 = 6*f - 21. What is the third derivative of r**2 - 2*r**2 - 90*r**5 + 107*r**f wrt r?
1020*r**2
Let q(d) = d**3 + d**2 - d + 1. Let n(h) = 18*h**3 + 206*h - 2. Let o(k) = n(k) + 2*q(k). What is the second derivative of o(l) wrt l?
120*l + 4
Let c(d) = 4*d - 6. Let h(y) = -5*y - 4*y + 5 + 7. Let r(n) = -5*c(n) - 3*h(n). Find the first derivative of r(i) wrt i.
7
Let i be (5 + -7)*1/(-1). What is the first derivative of -6 - 4*a**2 + 0 - i + 3 wrt a?
-8*a
Let x(v) be the third derivative of 0*v**6 - 1/12*v**5 + 11/336*v**8 + 0*v + 0*v**3 + 10*v**2 + 0 + 0*v**4 + 0*v**7. Find the third derivative of x(z) wrt z.
660*z**2
Find the second derivative of -348*z**3 + 2*z**2 - 177*z - 135*z + 69*z**3 wrt z.
-1674*z + 4
Let n(i) = -i**3 + 12*i**2 + 3*i - 15. Let m be n(12). Let f = m - 12. Find the first derivative of f + 7*t**4 - 8*t + 8*t wrt t.
28*t**3
Let f = -5 + 6. Suppose -a = -3, -r + 2*a - f = a. Find the second derivative of 0*d**2 + d + 3*d - 2*d**2 + 0*d**r wrt d.
-4
Find the third derivative of 2046*f**5 + 2031*f**5 - f**2 - 4216*f**5 - 159 wrt f.
-8340*f**2
Let p(r) be the second derivative of 7/12*r**4 + 0*r**2 + 6*r + 0 + 0*r**3 + 5/4*r**5. What is the third derivative of p(q) wrt q?
150
Let y(c) = 247*c**3 + 30*c**2 - 6*c - 529. Let m(w) = 247*w**3 + 25*w**2 - 5*w - 528. Let p(j) = 6*m(j) - 5*y(j). What is the first derivative of p(o) wrt o?
741*o**2
Suppose 1 + 10 = 3*j + p, -3*j = 2*p - 10. Suppose 5 = 3*w + j*i, -w + 2*w = -2*i + 1. What is the second derivative of h**3 - h**3 - h - w*h - 6*h**3 wrt h?
-36*h
Suppose 9*q = 12*q + 12*q. Let w(r) be the first derivative of q*r**2 - 1/3*r**3 - r + 2. Find the first derivative of w(x) wrt x.
-2*x
Let j(l) be the second derivative of 5*l**8/336 + l**5/30 + 3*l**2/2 + 10*l. Let z(h) be the first derivative of j(h). Find the third derivative of z(s) wrt s.
300*s**2
Let p(i) = 126*i**2 - 8*i + 676. Let u(q) = 62*q**2 - 4*q + 339. Let b(s) = 4*p(s) - 7*u(s). What is the first derivative of b(k) wrt k?
140*k - 4
Let l = 13 - 4. Let z(c) be the first derivative of -l*c**3 + 0 + 4 - c**4 + 8*c**3. Find the third derivative of z(a) wrt a.
-24
Let c = 7 + -4. Suppose c*p = 5*p - 4. Differentiate w**3 + w**2 - w**p - 4 - 5*w**3 with respect to w.
-12*w**2
Suppose 6*u - 60 = -14*u. Let d(v) be the first derivative of 0*v**4 + 4 + 2*v**2 + 0*v**u - 5/6*v**6 + 0*v + 0*v**5. Find the second derivative of d(j) wrt j.
-100*j**3
Find the second derivative of -164*p + 137*p**2 + 113*p**2 - 436*p - 53*p**2 + 80*p**2 wrt p.
554
Let y(o) = 5*o - 3. Let j(s) = -5*s + 4. Let d = -4 - -8. Suppose -i = d*i - 25. Let f(h) = i*j(h) + 6*y(h). Differentiate f(k) wrt k.
5
Let q(w) = -35*w**4 + 9*w**3 - 103*w**2 + 9*w. Let b(p) = p**3 - 2*p**2 + p. Let y(m) = 18*b(m) - 2*q(m). Find the third derivative of y(s) wrt s.
1680*s
Suppose u + 1 - 3 = 0. Let w be 2 + (2/u - 1). Find the third derivative of 4*q**5 + 6*q**2 + q**5 + 0*q**w wrt q.
300*q**2
What is the third derivative of -411536*c**3 - 524*c**6 + 411536*c**3 - 857*c**2 - c**4 wrt c?
-62880*c**3 - 24*c
Find the second derivative of -5*d**2 + 21*d - 199*d**5 + 2 + 7*d + 200*d**5 wrt d.
20*d**3 - 10
Let g(j) = 3*j**3 - 6*j + 6. Let q be g(1). Find the third derivative of -22*x**2 + 872*x - 872*x + 2*x**2 - 57*x**q wrt x.
-342
Let p(b) be the second derivative of 4*b - 11*b**2 + 6*b**2 + 0*b**2 - 2*b**3. What is the first derivative of p(d) wrt d?
-12
Let w = -20 + 23. Suppose -w*c + 7 - 1 = 0. Differentiate 9*r**c + 9*r**3 + 1 - 7 - 9*r**2 wrt r.
27*r**2
Let l(r) be the second derivative of 3/10*r**5 + 0*r**2 + 0*r**3 + r + 0 - 5/6*r**4. Find the third derivative of l(x) wrt x.
36
Let o(t) be the first derivative of -t**2/2 + 17*t - 2. Let s be o(13). Differentiate -56 - 8*x**4 - s*x**4 + 65 with respect to x.
-48*x**3
Let p(g) = -64*g**2 - 72*g - 28. Let l(d) = 3*d**2 - 2*d - 1. Let x(f) = -72*l(f) + 2*p(f). Differentiate x(u) with respect to u.
-688*u
Let q(l) = -758*l**2 + 6*l + 124. Let f(u) = -1515*u**2 + 10*u + 248. Let x(w) = -3*f(w) + 5*q(w). Find the first derivative of x(h) wrt h.
1510*h
Find the third derivative of 102*u**2 + 31*u**6 + 119*u**6 - 93*u**2 - 165*u**2 wrt u.
18000*u**3
Find the third derivative of -260*d**2 - 282*d**5 - 294*d**5 + 156*d**5 - 283*d**2 wrt d.
-25200*d**2
Suppose -22 - 4 = -2*x. Suppose a + 4*t = -0*t + x, -2*a - 4*t = -18. What is the first derivative of 2*g + 2 + 4 - 6 - a wrt g?
2
Let f(x) be the second derivative of x**7/3 + x**6/30 - 539*x**4/12 - x**2 + 2*x - 15. What is the third derivative of f(n) wrt n?
840*n**2 + 24*n
Let h(q) be the second derivative of 165*q**8/56 + 89*q**4/6 - 5*q + 6. What is the third derivative of h(a) wrt a?
19800*a**3
Let x be (176/30)/4 - (-2)/(-15). Let g(l) be the second derivative of 0*l**2 - 4*l - x*l**3 + 0 + 7/12*l**4. Find the second derivative of g(u) wrt u.
14
Let c(v) be the first derivative of -45*v**3 + v**2 - 18*v - 42. What is the second derivative of c(n) wrt n?
-270
Let s(x) be the third derivative of 0*x**3 - 17/120*x**6 - 3*x**2 + 0*x + 0 + 0*x**5 + 5/24*x**4. What is the second derivative of s(t) wrt t?
-102*t
Let v(n) be the first derivative of -7 + 0*n + 5/4*n**4 - 23/2*n**2 + 0*n**3. Find the second derivative of v(f) wrt f.
30*f
Let m be 3*(1 + 5/(-3)). Let j be 1 - 2 - m - -2. What is the third derivative of 111 + 2*t**2 + j*t**5 - 111 wrt t?
180*t**2
Let v(x) = -2*x**4 - x**2 - 2*x. Let k(g) = -769*g**4 + 5*g**2 - 331*g - 2. Let z(u) = k(u) + 5*v(u). Find the second derivative of z(j) wrt j.
-9348*j**2
Let i(s) be the first derivative of 18*s**4 - 3*s**2/2 + 2*s - 43. What is the second derivative of i(b) wrt b?
432*b
Let o(g) = 2*g**3 + g**2 + g - 1. Let r(x) = -14*x**3 + 186*x**2 - 6*x - 305. Let l(m) = 6*o(m) + r(m). Differentiate l(q) wrt q.
-6*q**2 + 384*q
Let k(x) be the third derivative of 5*x**8/7 + 25*x**4/24 - 2*x**3/3 + 141*x**2. Find the second derivative of k(g) wrt g.
4800*g**3
Let j be 7/14 - (-10)/4. Let l be (-7 + 0)*(-4 + j). Differentiate 5 + 1 - l*n + n - 1 wrt n.
-6
Let q be 1*(49 + -3) + 4. What is the second derivative of 50*u**2 - 10*u + 12*u**5 - q*u**2 wrt u?
240*u**3
Let o(f) be the first derivative of -f**5/5 + 111*f**4/2 - 9*f - 204. Differentiate o(c) with respect to c.
-4*c**3 + 666*c**2
Find the second derivative of 5*r**2 - 126*r**4 + r**2 + 0*r**2 - 7*r**2 + 17*r wrt r.
-1512*r**2 - 2
Find the third derivative of -259547*k**5 - 30*k**2 + 259746*k**5 - 39*k**2 wrt k.
11940*k**2
Let k = 19 + -16. What is the third derivative of 4*o**3 - k*o**3 + 12*o**5 - o**2 - o**3 wrt o?
720*o**2
Let k(g) = 2*g**2 - 39*g - 14. Let a(s) = -s**2 + s + 1. Let v(q) = -3*a(q) - k(q). Find the first derivative of v(u) wrt u.
2*u + 36
Let y(d) be the first derivative of -11*d**7/210 + 4*d**3/3 - 3*d**2 - 18. Let i(g) be the second derivative of y(g). Differentiate i(u) wrt u.
-44*u**3
Suppose -3*r + 5 = -4. Find the third derivative of i**2 - 5*i**2 + 24*i**3 - 16*i**r wrt i.
48
Let v(k) be the second derivative of -7*k**4/4 - 26*k**3/3 + 7*k**2/2 - 47*k. Let p(g) be the first derivative of v(g). What is the derivative of p(w) wrt w?
-42
Suppose 4*s + 23 + 13 = 0. Let q = 11 + s. Find the second derivative of -12*r**4 + 4*r**4 - 2*r + r + q*r**4 wrt r.
-72*r**2
Let m be -4 + 15 + -4 + 4. What is the third derivative of -24*a**2 - 27*a**2 + 36*a**2 + m*a**5 wrt a?
660*a**2
Let t(r) = 799*r**2 - 50*r + 247. Let l(s) = 800*s**2 - 42*s + 246. Let c(m) = -6*l(m) + 5*t(m). What is the second derivative of c(f) wrt f?
-1610
Let j = 34 + -58. Let k = j + 27. What is the first derivative of k + 0*f + 35*f**3 - 40*f**3 + 0*f wrt f?
-15*f**2
Let v(q) = q**3 + 9*q**2 + 7*q. Let i = 18 + -26. Let y be v(i). What is the first derivative of 19*t**3 - 6*t**4 + y + 0*t**4 - 19*t**3 wrt t?
-24*t**3
Suppose -6*x + 2*x + 3*k + 12 = 0, 8 = 2*x - 2*k. Let m(a) be the first derivative of x*a - 3/2*a**2 + 11 + 3*a**3. Find the second derivative of m(n) wrt n.
18
Let v(k) = -339*k**4 - 9*k**2 + 912. Let i(f) = -85*f**4 - 2*f**2 + 228. Let u(a) = 9*i(a) - 2*v(a). What is the first derivative of u(s) wrt s?
-348*s**3
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