ivative of b(i) wrt i.
164*i**3
Let f be (-1)/(-3)*(1 - -8). Let d be 3 - (f + -2)*-1. What is the third derivative of 5*n**4 - 4*n**d - n**2 - 3*n**4 - 2*n**2 wrt n?
-48*n
Let x(p) be the first derivative of 5*p**7/42 - p**3 - 2*p + 6. Let v(t) be the first derivative of x(t). Find the second derivative of v(a) wrt a.
100*a**3
Let l(z) = 2*z**4 - 4*z**2 + 7*z - 4. Let s(t) = -5*t**4 + 7*t**2 - 15*t + 7. Let k(a) = 7*l(a) + 4*s(a). What is the second derivative of k(f) wrt f?
-72*f**2
What is the third derivative of 1156*r**3 - 1127*r**3 + r**2 + 6*r**2 wrt r?
174
Differentiate -1 + 7 + 1 - 4*q**2 + 22*q**2 wrt q.
36*q
Let k be (-10)/15*9/(-3). Find the second derivative of 0*n**2 - 3*n + 2*n**2 - 2*n + 2*n**k wrt n.
8
Let h(n) be the third derivative of 0 - 1/30*n**5 + 0*n**6 + 0*n**3 - 1/168*n**8 + 0*n + n**2 + 0*n**7 + 0*n**4. What is the third derivative of h(q) wrt q?
-120*q**2
Let u(m) be the third derivative of m**4/24 - m**3/3 - m**2. Let w(a) = a. Suppose 18 = 5*j + 3. Let q(k) = j*w(k) - u(k). What is the derivative of q(x) wrt x?
2
Let x(n) = 4*n**3 - 4*n**2 - 5*n - 5. Let a = 2 + -4. Let f(p) = 2*p**3 - 2*p**2 - 2*p - 2. Let u(h) = a*x(h) + 5*f(h). Find the third derivative of u(o) wrt o.
12
Let a(r) = 80*r**4 + 67*r**2 + 7*r - 7. Let f(x) = 27*x**4 + 22*x**2 + 2*x - 2. Let m(d) = -2*a(d) + 7*f(d). What is the third derivative of m(l) wrt l?
696*l
Suppose 0 = 3*o + 4*h - 2, 0*o = 5*o - 3*h - 13. Let d(m) be the second derivative of -1/3*m**4 - m**o + 0*m**3 + 0 + 4*m. Differentiate d(f) with respect to f.
-8*f
Let y(a) = -a**4 - a**3 - a. Let m(n) = -5*n**4 + 4*n**3 + 4*n - 7. Let s(c) = -m(c) - 4*y(c). Differentiate s(p) wrt p.
36*p**3
Let c(x) = -8*x**4 - 3*x**3 - 3*x - 8. Let g(w) = 8*w**4 + 4*w**3 + 4*w + 9. Let f(k) = -4*c(k) - 3*g(k). What is the first derivative of f(n) wrt n?
32*n**3
Let d(u) be the second derivative of u**8/420 - u**6/120 + u**3/3 - 4*u. Let o(g) be the second derivative of d(g). What is the third derivative of o(p) wrt p?
96*p
Let c(n) be the first derivative of -7*n**2 + 18*n + 5. Differentiate c(j) with respect to j.
-14
Let f(k) = 3*k**5 - 3*k**2 + 5*k - 5. Let g(p) = -p**5 + p**2 - 3*p + 3. Let l(a) = -6*f(a) - 10*g(a). Find the third derivative of l(u) wrt u.
-480*u**2
Let f(b) be the first derivative of 3 + 1/3*b**3 + b**4 + 0*b**2 + 0*b. Find the third derivative of f(g) wrt g.
24
Let n = 4 - 2. Find the third derivative of -4 - 2*b**n + 5*b**3 + 1 + 3 wrt b.
30
Suppose 5 = y, 2*s - y - 2 = -7. Let x(t) be the second derivative of s*t**2 + 0 - 1/6*t**3 - t + 1/6*t**4. Find the second derivative of x(h) wrt h.
4
Let d(q) be the first derivative of q**5 - 13 - 2*q**5 + 17 + 2*q**3. Find the third derivative of d(c) wrt c.
-120*c
Let j be (2 + (-24)/9)*-3. Find the second derivative of 0 - 2*z**2 + z + j - 2 wrt z.
-4
Let o = -4 + 7. Find the third derivative of -2*s**2 + 6*s**2 - o*s**2 - 2*s**6 + 5*s**6 wrt s.
360*s**3
Let f(h) = 1. Let t(r) be the second derivative of r**3 - 3*r**2/2 - 3*r. Let x(a) = -3*f(a) + t(a). What is the derivative of x(u) wrt u?
6
Let o(u) be the second derivative of u**9/1008 - u**6/72 + u**3/3 + 2*u. Let w(t) be the second derivative of o(t). What is the third derivative of w(d) wrt d?
180*d**2
Let u(f) = f**4 + 2*f**2 + 6*f + 6. Let y(q) = q**4 + q**2 + q + 1. Let x(t) = -u(t) + 6*y(t). What is the third derivative of x(r) wrt r?
120*r
Let i(v) be the first derivative of 0*v**6 + 2 + 0*v + 0*v**4 + 0*v**5 + 2*v**3 + 0*v**2 - 6/7*v**7. What is the third derivative of i(j) wrt j?
-720*j**3
Suppose -w = k - 5, -7*k + 2*k - 2*w + 19 = 0. What is the third derivative of k*q**6 - 2*q**6 - 5*q**2 - 5*q**2 wrt q?
120*q**3
Let c = -13 + 21. Let s = c - 5. Find the second derivative of -3*y**3 - s*y + 5*y + 0*y wrt y.
-18*y
Let g(c) be the first derivative of -22*c**3/3 + 13*c**2 - 25. Find the second derivative of g(j) wrt j.
-44
Let y(f) be the first derivative of 7*f**4/2 + 26*f**3/3 - 9. Find the third derivative of y(u) wrt u.
84
Suppose 2*s + 22 = 5*r, 3*r - 3*s + 0*s - 15 = 0. Find the third derivative of 3*d**r - d**2 - 3*d**2 + 3*d**2 wrt d.
72*d
Let k(d) be the second derivative of -4*d**6/15 + 7*d**2/2 + 6*d. What is the first derivative of k(r) wrt r?
-32*r**3
Let q(j) be the third derivative of 11*j**6/120 - j**3/3 + 3*j**2. Let b(w) = 10*w**3 - 1. Let t(g) = -6*b(g) + 5*q(g). What is the derivative of t(h) wrt h?
-15*h**2
Differentiate -v + 57 + 7*v**2 - 2*v + 16*v**2 - 14*v**2 wrt v.
18*v - 3
Let d be 2/(-2) + (-2)/(-1). Let f(u) = -7*u - 2. Let y(k) = k. Let t be 46/8 + 2/8. Let r(x) = d*f(x) + t*y(x). Differentiate r(b) wrt b.
-1
What is the second derivative of 20*b**4 + b**5 - 8*b + b + 8*b - 8 wrt b?
20*b**3 + 240*b**2
Let k(n) be the second derivative of 0*n**3 + 0*n**4 + 0 - 5/2*n**2 + 0*n**5 - 1/30*n**6 + 4*n. Differentiate k(c) with respect to c.
-4*c**3
Let q(a) be the second derivative of a**6/720 + a**5/60 + a**4/4 - 2*a. Let i(d) be the third derivative of q(d). Find the first derivative of i(c) wrt c.
1
Find the second derivative of 2 - 357*j**2 - 27*j**4 - 25*j + 357*j**2 wrt j.
-324*j**2
Let d(v) = v**4 + v**2 + v. Let c(f) = 8*f**4 - 6*f**2 - 2*f. Let b(s) = -2*c(s) - 4*d(s). Find the third derivative of b(p) wrt p.
-480*p
Let v = 10 + -7. Suppose -7 = v*w - 19. Let f(q) = -q**3 + 2*q. Let i(x) = -x**3 + 3*x. Let o(a) = w*f(a) - 3*i(a). Find the second derivative of o(d) wrt d.
-6*d
Let h(v) be the first derivative of 13*v**7/7 - 13*v**3/3 + 10. What is the third derivative of h(j) wrt j?
1560*j**3
Let j = 11 - 7. Let r be (-2)/j*(3 + -3). Differentiate 5*k - 2 - 1 + 0 + r with respect to k.
5
Let j(p) = -p**2 + 7*p - 3. Let y(f) = 4*f**2 - 36*f + 16. Let m(g) = -16*j(g) - 3*y(g). Find the second derivative of m(b) wrt b.
8
Let a(v) = -v**2 + v. Let i(c) = 2*c**6 - 10*c**2 + 2*c. Let w(l) = -4*a(l) + 2*i(l). What is the third derivative of w(p) wrt p?
480*p**3
Let l(m) be the second derivative of -m**2 + 3*m + 0*m**4 + 0*m**3 + 3/20*m**5 + 0. Find the first derivative of l(a) wrt a.
9*a**2
Let f(m) be the first derivative of -4*m**6 + 9*m**2 + 31. What is the second derivative of f(c) wrt c?
-480*c**3
Let s(a) = -a. Let q(i) = -i**2 - i - 2. Let h(o) = q(o) - 4*s(o). Let m be h(2). What is the third derivative of m*n**6 - 18*n**2 + 2*n**6 + 22*n**2 wrt n?
240*n**3
Let y(z) = -z**2 + 3*z. Let f(u) = u. Let t(j) = 5*f(j) - 3*y(j). Find the second derivative of t(i) wrt i.
6
What is the second derivative of -s - 2*s**4 + 15*s + 6*s**4 wrt s?
48*s**2
Let t(o) be the first derivative of 3*o**4/4 - 6*o**2 - 17. What is the second derivative of t(z) wrt z?
18*z
Let n(q) be the first derivative of -2*q**3 + 3*q**2/2 + 4. Find the second derivative of n(b) wrt b.
-12
Let q(m) be the second derivative of -37*m**6/30 + 7*m**3 - 33*m. What is the second derivative of q(k) wrt k?
-444*k**2
Suppose 4*m - 2*b - 24 = -5*b, -2*m - 4*b = -22. Let i(z) = -z + 3. Let j be i(m). Find the second derivative of -n + 0*n - 2*n**3 + j*n wrt n.
-12*n
Let w(i) = -i**2 - 6*i + 3. Let l be w(-6). Let p(r) be the first derivative of -1/2*r**4 + 1 + 0*r**l - r**2 + 0*r. Find the second derivative of p(t) wrt t.
-12*t
Let t(r) = -r**2 + 5*r - 4. Let u be t(3). Suppose v - u = -1. What is the derivative of 2 + 3*c - v - 6*c wrt c?
-3
Let g be (-515)/(-15) - 4/(-6). Find the second derivative of -10*n**4 - 69 - n + 34 + g wrt n.
-120*n**2
Find the third derivative of -69*j**2 - 54*j**4 - 43*j**4 + 78*j**4 wrt j.
-456*j
Suppose -15*o + 10*o = 0. Let k(b) be the second derivative of -b + 1/30*b**6 + 0*b**5 + o + 0*b**4 - 1/2*b**2 + 0*b**3. Differentiate k(j) wrt j.
4*j**3
Let a be (-10)/6*-3*1. Suppose a*p + 0*u = -2*u + 13, p + 3*u = 0. What is the second derivative of 2*b**p + 5*b**2 - 5*b**2 + 2*b wrt b?
12*b
Let i = -46 + 18. Let j = i + 39. What is the second derivative of j*g**2 - 3*g - 11*g**2 - 2*g**5 wrt g?
-40*g**3
Find the third derivative of -7*y**5 + 16*y**2 + 2*y + 18*y**5 + 6*y**2 - 4*y**6 wrt y.
-480*y**3 + 660*y**2
Let i(d) = d. Let h(w) = -39*w**2 + 5*w + 35. Let t(a) = h(a) - 5*i(a). Find the first derivative of t(f) wrt f.
-78*f
Find the second derivative of -8*q**3 - q + 16*q - 11*q wrt q.
-48*q
Let a(s) = s**6 + s**5 - s**4 + 3*s**2 + s + 1. Let p(x) = -x**5