ivative of 0 + 0*u**3 + p*u**4 + 0*u + 1/60*u**5 + 2*u**2. What is the second derivative of v(r) wrt r?
2
Let i(s) be the second derivative of -s**4 - 7*s**2/2 - 6*s. Find the first derivative of i(w) wrt w.
-24*w
Suppose d = -0 + 2. What is the third derivative of 2*o**2 - 3*o**2 + 2*o**d + 0*o**2 - 4*o**6 wrt o?
-480*o**3
Suppose -2*t + 3 = -t. Find the second derivative of 2*b**3 + b - 2*b - t*b + 2*b wrt b.
12*b
Let r(x) = -x + 4. Let q be r(1). Find the second derivative of 7*n + 73*n**3 - 82*n**q - 5*n**2 + 5*n**2 wrt n.
-54*n
Let c(m) = -5*m**4 + 3*m**3 + 6*m**2 + 3. Let p(d) = 10*d**4 - 5*d**3 - 11*d**2 - 5. Let x(j) = 5*c(j) + 3*p(j). What is the third derivative of x(u) wrt u?
120*u
Let k = 16 + -6. Let d be (35/k)/((-1)/(-2)). What is the derivative of -2*p**2 - 2 + d*p**2 - 3*p**2 wrt p?
4*p
Suppose 17 = 3*b - 58. Suppose -5*m + 3*v + b = -2*v, 0 = m - 4*v - 5. What is the second derivative of 3*q - 2*q + 0*q - 2*q**m wrt q?
-40*q**3
Let w(r) = 2*r**2 - r. Let q be w(2). Let b = q + -2. What is the first derivative of 4*v**b - 1 + 3 - 3 wrt v?
16*v**3
Let i(m) = 12*m**4 + 6*m - 1. Let y(g) = -g**4 - g + 1. Let n(p) = -i(p) - 6*y(p). Differentiate n(d) with respect to d.
-24*d**3
Let b be (8/14)/((-10)/(-35)). Find the third derivative of -4*m**2 + 3*m**b + 4 + 4*m**4 - 4 wrt m.
96*m
Let y(l) be the first derivative of -43*l**6/6 - l**2/2 - 8*l + 12. Find the second derivative of y(j) wrt j.
-860*j**3
Suppose f - 3*f + 8 = 0. Suppose 3*v - f = v. Find the second derivative of 2*c + 5*c**3 - v*c**3 - 4*c**3 wrt c.
-6*c
What is the second derivative of -8*y + 7*y - y**3 + 5*y**3 wrt y?
24*y
Let h(z) = -z**2 + z + 1. Let i(g) = 10*g**2 - g - 11. Let p(j) = h(j) + i(j). Find the first derivative of p(n) wrt n.
18*n
Let s(x) = x**5 + x**4 - x**2 - 1. Let c(i) = -7*i**5 - 9*i**4 + 15*i**2 + 9. Let t(m) = 2*c(m) + 18*s(m). Find the third derivative of t(w) wrt w.
240*w**2
Let a(l) be the first derivative of -l**7/35 - l**5/30 - l**2 + 6. Let f(t) be the second derivative of a(t). Find the third derivative of f(p) wrt p.
-144*p
Suppose q + 2 = 3*h, -2*q - 2*h - 4 = 2*h. Let a = 4 + q. What is the second derivative of s**3 + s**5 + 0*s - s**3 + a*s wrt s?
20*s**3
Let g be ((-48)/21 - -2)*-7. Differentiate -1 + z - 5*z + g + z with respect to z.
-3
Let z(f) = 2*f**2 - 3*f. Let q be z(2). Suppose 4 = -q*o - x + 5, -2*o - 4*x - 14 = 0. Find the third derivative of -c**2 - o*c - 2*c**3 + 3*c wrt c.
-12
Let b(w) = 36*w + 2. Let x(o) = -18*o - 1. Let z(y) = 3*b(y) + 5*x(y). What is the first derivative of z(u) wrt u?
18
Let q(c) be the second derivative of -1/21*c**7 + 1/12*c**4 + 0 + 0*c**6 + 0*c**2 + 0*c**3 + 2*c + 0*c**5. What is the third derivative of q(w) wrt w?
-120*w**2
What is the second derivative of 7*q + 0*q**5 - 4*q**5 - 21*q wrt q?
-80*q**3
Let q(f) be the second derivative of -7*f**3/6 + 13*f**2/2 - 3*f. What is the first derivative of q(l) wrt l?
-7
Let m(p) be the first derivative of -p**3/3 - 9*p**2/2 - 5*p - 2. Let w be m(-8). Differentiate -1 - w - 2*r**3 + 7 wrt r.
-6*r**2
What is the third derivative of k**2 - 6*k**5 - 9*k**5 - k**5 - 2*k**2 wrt k?
-960*k**2
What is the second derivative of -3*n**2 + 4*n**2 + 2*n**2 - 1 + 12*n wrt n?
6
Suppose -30 = 4*a - a. Let i = -7 - a. Find the third derivative of -6*r**i - 5*r**2 + 3*r**3 + 4*r**2 + 5*r**2 wrt r.
-18
Let h(v) be the third derivative of -2/105*v**7 + 0*v - 4*v**2 + 0*v**5 + 0*v**6 + 1/2*v**3 + 0 + 0*v**4. What is the derivative of h(g) wrt g?
-16*g**3
Let j be ((-5)/(-2))/(2/(-4)). Let g = 0 - j. What is the third derivative of -3*u + u**g + 3*u + 3*u**2 wrt u?
60*u**2
Let c(r) be the third derivative of -r**7/6 - r**6/120 - 35*r**4/24 - 60*r**2. Find the second derivative of c(m) wrt m.
-420*m**2 - 6*m
Let m(v) be the first derivative of 0*v**5 - 2 + 1/7*v**7 + 0*v**4 - 2/3*v**3 + 0*v**6 + 0*v + 0*v**2. What is the third derivative of m(y) wrt y?
120*y**3
Let d(l) be the second derivative of l**8/48 - 2*l**5/15 + 7*l**2/2 + 6*l. Let j(w) be the first derivative of d(w). What is the third derivative of j(o) wrt o?
420*o**2
Suppose -2*q + 50 = 3*q. Find the second derivative of -9*f + 3*f + q*f + 0*f**5 + f**5 wrt f.
20*f**3
Let l(j) be the second derivative of 67*j**6/30 + 7*j**3/6 + j**2 - 17*j. Find the second derivative of l(w) wrt w.
804*w**2
Let w = -6 + 10. What is the third derivative of -m**2 - w*m**5 + m**5 + 3*m**2 - m**5 wrt m?
-240*m**2
Let m(f) = 3*f**3 - 2*f. Let a(b) = 6*b**3 - b**2 - 5*b. Let z(k) = 2*a(k) - 5*m(k). What is the third derivative of z(r) wrt r?
-18
Let t(d) be the second derivative of 0*d**2 + 0*d**3 - 3/56*d**8 + d + 0*d**5 + 0*d**6 + 0 + 2/3*d**4 + 0*d**7. What is the third derivative of t(z) wrt z?
-360*z**3
Let s(r) = -5*r - 14 + 2*r + 2*r + 3. Let l(t) = -1. Let q(d) = 2. Let v(i) = 4*l(i) - q(i). Let n(z) = 3*s(z) - 5*v(z). Differentiate n(h) wrt h.
-3
What is the third derivative of 39*h**2 - 40*h**2 - 2*h**5 + 10*h**5 wrt h?
480*h**2
Let w be (1 - 1) + -10 + 7. Let f(k) = -13*k**2 - 13. Let c(p) = 7*p**2 + 7. Let z(b) = w*f(b) - 5*c(b). Find the first derivative of z(v) wrt v.
8*v
Let k(d) be the third derivative of 2*d**7/21 + 3*d**4/2 + 17*d**2. What is the second derivative of k(b) wrt b?
240*b**2
What is the second derivative of 25 + 28*n**2 + 24 + n - 34 wrt n?
56
Suppose -5*h + 2 = -13. What is the first derivative of -5 + 4 - 1 - 2*o**3 - o**h wrt o?
-9*o**2
Let s(q) = q**2 - 6*q + 5. Let g be s(5). Find the first derivative of 1 - 2*f**4 + g - f**4 + 8*f**4 wrt f.
20*f**3
Let n(m) = m**4 - m**3 - m**2 - m - 1. Let y(q) = 5*q**4 - 3*q**3 - 7*q**2 - 3*q - 42. Let d(v) = -3*n(v) + y(v). Differentiate d(f) with respect to f.
8*f**3 - 8*f
Let x(u) be the second derivative of u**7/42 + 5*u**3/6 + 10*u. Find the second derivative of x(f) wrt f.
20*f**3
What is the first derivative of 3*t + 5 - 5 + 4 wrt t?
3
Let m be -1 - (-2)/((-6)/(-27)). Let x(d) = d**3 - 7*d**2 - 8*d + 3. Let s be x(m). Find the second derivative of 0*y**3 - 2*y - s*y**3 + 0*y wrt y.
-18*y
What is the derivative of 59 - 39 - 12*b**2 - 16*b**2 wrt b?
-56*b
What is the third derivative of 11*s**2 + 6*s**5 - 2*s**5 - 9*s**4 + 9*s**4 wrt s?
240*s**2
Let c(o) be the second derivative of o**9/3024 - o**6/360 - o**4/2 + o. Let f(j) be the third derivative of c(j). Find the second derivative of f(z) wrt z.
60*z**2
Let x(c) be the third derivative of -c**10/50400 - c**6/720 - c**5/15 - 3*c**2. Let t(i) be the third derivative of x(i). Differentiate t(f) wrt f.
-12*f**3
Let l(x) be the second derivative of 0*x**4 + 0*x**5 + 1/15*x**6 + 3*x + x**2 + 0 + 0*x**3. Find the first derivative of l(y) wrt y.
8*y**3
Let q(g) be the third derivative of g**8/960 - g**5/60 - g**4/4 - 7*g**2. Let k(u) be the second derivative of q(u). What is the derivative of k(w) wrt w?
21*w**2
Let m(n) = n**2 + 2*n + 2. Let s be m(-2). Suppose 8 = -2*y - 5*k, 3*y - 1 = 2*k + 6. What is the first derivative of -2*v + s*v + 2*v - y wrt v?
2
Let d(t) be the first derivative of -8*t**5/5 + 19*t**2/2 - 28. What is the second derivative of d(u) wrt u?
-96*u**2
Let p(o) = o**2 - 4*o + 427 - 434 + o**2. Let g = -3 + 2. Let v(a) = a**2 - a - 1. Let d(h) = g*p(h) + 4*v(h). Find the first derivative of d(w) wrt w.
4*w
What is the first derivative of 74*o**2 - 3 - 1 - 71*o**2 + 5 wrt o?
6*o
Let a = 18 + -11. What is the derivative of a*t - 7*t + 3*t**4 - 1 - t**4 wrt t?
8*t**3
Let i(n) be the third derivative of 0*n - 1/24*n**6 - 4*n**2 + 0 + 0*n**3 + 0*n**4 + 1/15*n**5. Find the third derivative of i(p) wrt p.
-30
Let u(x) = x**2 - 2*x + 3. Let g be u(3). Let p be 11/3 - 6/9. Find the second derivative of 3*s**p + g + s - 3 - 3 wrt s.
18*s
Let y(h) be the first derivative of h**5/30 + 5*h**3/6 - 5*h**2/2 + 3. Let n(l) be the second derivative of y(l). What is the derivative of n(p) wrt p?
4*p
Suppose 5*t - 9 - 11 = 0. Let r(g) be the second derivative of -2*g - 1/4*g**t + 0*g**3 + 1/2*g**2 + 0. Differentiate r(p) wrt p.
-6*p
Let m(l) be the third derivative of 2*l**5/15 + 3*l**3/2 - 4*l**2. Differentiate m(r) with respect to r.
16*r
Let a(m) be the first derivative of 4/5*m**5 + 0*m**2 + 0*m**4 + 11/3*m**3 + 0*m - 1. What is the third derivative of a(y) wrt y?
96*y
Let m(g) = g**2 - 8*g + 11. Let x be m