 the first derivative of t(f) wrt f.
-2
Suppose 2*u - 3*u = -5*i + 10, 2*u - 6 = -3*i. Let z be (-7)/(-3) + i/3. Find the second derivative of -2*j**2 - z*j + 8*j**2 - 3*j**2 wrt j.
6
Let t(p) be the second derivative of -p**7/21 + 11*p**6/15 + p**4/4 - 3*p**2/2 - 18*p. What is the third derivative of t(o) wrt o?
-120*o**2 + 528*o
Let c(j) = -j**2 + 8*j + 9. Let i be c(7). Suppose 7*r - i = 3*r. Find the third derivative of -p**6 + 6*p**r - 6*p**4 - p**2 wrt p.
-120*p**3
Suppose 0 = 4*s - w - 14, 4*s + 3*w + 0 = 22. Suppose 3*m = 2*j + s*m - 6, 3*m - 14 = -5*j. What is the second derivative of -2*u + 6*u**j + u - 5*u**4 wrt u?
12*u**2
Let h(r) be the first derivative of 19*r**3 - 13*r**2/2 + 31. What is the second derivative of h(x) wrt x?
114
What is the derivative of 10*r - 10*r + 5 + 16*r**4 wrt r?
64*r**3
Suppose 5*i + 3*m - 20 = 0, 3 - 16 = -3*i - 2*m. Find the first derivative of i - 6*v**2 + 4 + 5 - 4 wrt v.
-12*v
Let v = 30 - 20. Let w be 1 + (-5)/(v/(-4)). What is the second derivative of -r**w + r - r**3 - 6*r**3 + 7*r**3 wrt r?
-6*r
Let a(o) = o**4 - o**3 - o**2 + 1. Let f(b) = -5*b**3 - 5*b**2 - 12*b + 5. Let z(p) = -5*a(p) + f(p). What is the second derivative of z(x) wrt x?
-60*x**2
Let s(d) be the second derivative of 7*d**5/5 + 16*d**3/3 - 15*d. What is the second derivative of s(q) wrt q?
168*q
Let i(v) = v. Let l(h) = 8*h**3 + 14*h**2 - 3*h. Let j(u) = -6*i(u) - 2*l(u). Find the third derivative of j(z) wrt z.
-96
Let w(c) be the first derivative of -c**7/14 - c**4/4 + 3*c - 3. Let f(p) be the first derivative of w(p). Find the third derivative of f(m) wrt m.
-180*m**2
Let b(y) = -7*y + 1. Let p(n) = 6*n. Let f(q) = -5*b(q) - 6*p(q). Let k be f(-7). What is the third derivative of 0*a**6 + 0*a**6 - k*a**6 + a**2 wrt a?
-240*a**3
Let a(l) be the third derivative of -l**5/15 + 17*l**4/24 + 6*l**2. What is the second derivative of a(j) wrt j?
-8
Find the second derivative of 30*t**4 - 4*t**5 - 16*t**4 + 4*t - 14*t**4 wrt t.
-80*t**3
Let b(u) be the second derivative of u - 1/2*u**3 + u**2 + 0. What is the first derivative of b(f) wrt f?
-3
Let k(r) be the second derivative of -r**7/630 - r**6/180 - r**4/6 - r. Let h(g) be the third derivative of k(g). What is the second derivative of h(o) wrt o?
-8
Let k(d) be the first derivative of d**8/840 + d**5/60 - 4*d**3/3 - 1. Let q(v) be the third derivative of k(v). Find the second derivative of q(b) wrt b.
24*b**2
Let w(z) = -21*z + 54. Let q(c) = -11*c + 27. Let r(j) = -7*q(j) + 4*w(j). Differentiate r(b) with respect to b.
-7
Let k(f) = f + 4. Let x be k(-4). Let h(y) be the first derivative of x*y + 0*y**2 - 3/4*y**4 - y**3 - 1. Find the third derivative of h(s) wrt s.
-18
Let t(b) = 9 + 0*b**2 - 4*b**2 - 4 - 4*b**2. Let y(f) = -15*f**2 + 9. Let h(r) = 5*t(r) - 3*y(r). Differentiate h(s) with respect to s.
10*s
Let t(i) = -2*i**4 - 2*i**2 - 2*i + 2. Let j(n) = 6*n**4 + 7*n**2 + 7*n - 6. Let g(r) = 4*j(r) + 14*t(r). What is the derivative of g(v) wrt v?
-16*v**3
Find the third derivative of 3*b**3 + 68*b**2 - 7*b**5 - 10*b**5 - 89*b**2 - 2*b wrt b.
-1020*b**2 + 18
Let b(l) be the second derivative of 2*l**5/5 - l**3/6 + 3*l. What is the second derivative of b(q) wrt q?
48*q
Let v(w) = -8*w**2 - 2 - 5 + 3. Let s(t) = -9*t**2 - 4. Let m(h) = 3*s(h) - 4*v(h). Differentiate m(f) wrt f.
10*f
Let l(w) be the third derivative of 0 + 0*w**6 + 0*w - w**2 + 1/6*w**3 + 0*w**5 + 0*w**4 + 1/210*w**7. Find the first derivative of l(h) wrt h.
4*h**3
Let c = 18 + 2. Suppose 0*s + c = 2*s. What is the derivative of 4 + 3*p**2 - s + 4 wrt p?
6*p
Let f(b) be the third derivative of -b**6/12 - b**5/60 - 4*b**2. Find the third derivative of f(s) wrt s.
-60
Let r be 8/(-10)*25/(-10). Find the second derivative of 2*u**3 + 5 - r*u - 5 wrt u.
12*u
Differentiate w**3 - 16 + 3*w**3 + 8 with respect to w.
12*w**2
Find the third derivative of -8 - 6*q**2 + 19 - 7*q**3 - 11 wrt q.
-42
Let d = 6 + -5. What is the derivative of -d + 4*t - 2*t - 3*t - 2*t wrt t?
-3
Suppose 3*w = 2*m - 23, m - 4 = 2*w + 10. Suppose m*y - 15 = -y. Find the third derivative of 0*h**6 + 4*h**2 - y*h**2 + h**6 wrt h.
120*h**3
Let a(h) = -21*h**6 + 7*h**5 - 21*h**2 + 7*h. Let q(g) = -7*g**6 + 2*g**5 - 7*g**2 + 2*g. Let f(s) = -4*a(s) + 14*q(s). Find the third derivative of f(w) wrt w.
-1680*w**3
Let o be (-6 - -5)*(2 + -1). Let t(j) = 2. Let u(g) = -g + 1. Let w(y) = o*t(y) - 2*u(y). What is the first derivative of w(f) wrt f?
2
Let n(f) be the second derivative of f**4/4 + 2*f**3/3 - 7*f. Find the second derivative of n(k) wrt k.
6
Let q(d) be the second derivative of 7*d**5/20 - 2*d**2 - 4*d. Differentiate q(s) wrt s.
21*s**2
Let u be (-4)/(-12) - 10/(-6). Differentiate c**2 + u*c**2 + 3*c**2 - 4 wrt c.
12*c
Let p(h) be the third derivative of -h**6/12 - 2*h**5/15 - 12*h**2. What is the third derivative of p(f) wrt f?
-60
Let i(n) be the second derivative of -7*n**6/30 - 5*n**4/4 + 9*n. What is the third derivative of i(r) wrt r?
-168*r
Find the second derivative of -14*w**5 + 5*w + 4 + 5 - 9 wrt w.
-280*w**3
What is the second derivative of -388*y**2 + 7*y + 388*y**2 + 4*y**3 wrt y?
24*y
Let d(n) = -n**2. Let g(y) = 2*y**3 - 2*y**2 - 7*y. Let b(s) = -2*d(s) + g(s). What is the second derivative of b(x) wrt x?
12*x
Let m(n) = -4*n**5 - 3*n**3 + 4*n**2 - 3*n. Let b(f) = -f**5 + f**3 - f**2 + f. Let h(s) = -3*b(s) - m(s). Find the third derivative of h(r) wrt r.
420*r**2
What is the third derivative of 4*z**5 - 2*z**5 + 4*z**2 + 2*z**2 wrt z?
120*z**2
What is the third derivative of -3*z**6 + 3*z**6 - z**6 + 11*z**2 - 4*z**6 wrt z?
-600*z**3
Let k(s) be the second derivative of -5*s**6/6 - 31*s**2/2 - 38*s. Differentiate k(b) wrt b.
-100*b**3
Suppose 2*w - i = 4 - 1, 5*w - i - 9 = 0. Find the first derivative of 2*x**2 - 2 + 3*x**3 - w*x**2 + x**3 wrt x.
12*x**2
Let r(y) be the first derivative of 6*y**5/5 + 25*y - 19. Differentiate r(i) wrt i.
24*i**3
What is the first derivative of 3*k - k - 4*k + 11 wrt k?
-2
Let b(v) be the first derivative of -6*v + 3/2*v**2 - 5. Find the first derivative of b(h) wrt h.
3
Find the second derivative of -12*h**5 - 2*h - 14*h**5 + 19*h**5 wrt h.
-140*h**3
Let k(m) = m**3 + m**2 - 1. Let v(s) = -26*s**3 + 2*s**2 - 29. Let b(r) = 2*k(r) - v(r). Differentiate b(f) wrt f.
84*f**2
Let t = 4 + 1. Suppose 3*m + 4*b - 3*b - 8 = 0, 0 = 3*m + t*b - 16. Differentiate -3 + 1 + 3 + m*r**2 - 3 with respect to r.
4*r
Suppose 0 = -0*x + x + 3*j - 5, -5*x - j = -11. What is the second derivative of 10*g + 9*g**3 - 2 + 2*g**3 + x wrt g?
66*g
Suppose -5*k + 3*p = -13, 3*p - 1 = -2*k - 0. What is the derivative of -t + 4*t - 2*t - k wrt t?
1
Let o(f) be the second derivative of -f**6/24 - f**3/6 - 5*f**2/2 + 5*f. Let z(m) be the first derivative of o(m). Differentiate z(i) wrt i.
-15*i**2
Suppose t = 4*p - 3 - 7, -t - 2 = 0. Suppose 0 = -2*g - x + 2*x + p, g + 5*x = 23. Differentiate 2 + 2*f**4 - g + f**4 wrt f.
12*f**3
Find the second derivative of 37*z - 51*z - 2*z**2 + 22*z**2 wrt z.
40
Let k(b) be the second derivative of 0*b**2 + 1/2*b**3 + 0 + 5/12*b**4 - 2*b. Find the second derivative of k(p) wrt p.
10
Suppose 6*n = 2*v + 3*n - 13, 0 = 3*n + 9. What is the first derivative of 4*h - 5*h - v*h + 4*h - 1 wrt h?
1
Let u = 9 + -9. What is the derivative of u*b + 0*b - 3 - 3*b**2 + 2 wrt b?
-6*b
Let f(z) = -z**3 - 4*z**2 + 5*z + 2. Let s be f(-5). Let x be 3 - (-1 - 0 - 2). What is the third derivative of x*q**2 + q**3 + 0*q**s - 2*q**2 wrt q?
6
Let f = 23 - 21. Let g(b) be the first derivative of b**3 + 0*b + 0*b**f - 2 + 1/6*b**6 + 0*b**5 + 0*b**4. Find the third derivative of g(n) wrt n.
60*n**2
Let p(f) be the first derivative of -7*f**2/2 + 36*f - 49. Differentiate p(c) wrt c.
-7
Let h(a) be the second derivative of 0 + 0*a**2 + 0*a**5 + 3*a - 1/3*a**4 - 1/10*a**6 + 0*a**3. What is the third derivative of h(p) wrt p?
-72*p
Let m be 2/(-9) - (-4)/18. Let o(r) be the first derivative of 0*r**3 + m*r**4 - 1/5*r**5 + 3 - 1/2*r**2 + 0*r. What is the second derivative of o(z) wrt z?
-12*z**2
Find the first derivative of -3 + 0 - x**2 + 0 + 4*x**2 wrt x.
6*x
Let v(p) be the second derivative of -11*p**7/21 - 5*p**4/12 - 4*p. What is the third derivative of v(n) wrt n?
-1320*n**2
Let i be (-4)/(-6) + (-4)/6. Let t(g)