g - m**2 - 1 + m**4 wrt m.
-72*m
Let w be (-6)/(-48) - 30/(-16). Let m(r) be the second derivative of 0 + 2*r - 1/3*r**3 + r**w. What is the derivative of m(f) wrt f?
-2
Suppose 2*y - y - 3 = 0. What is the second derivative of y*d - d - d + 6*d**5 wrt d?
120*d**3
Let b(r) = 3*r**3 - 5*r**2 + 19*r - 2. Let q(u) = -6*u**3 + 11*u**2 - 37*u + 5. Let g(n) = -5*b(n) - 2*q(n). What is the second derivative of g(w) wrt w?
-18*w + 6
Let u(i) be the third derivative of 0*i**4 + 1/15*i**5 - 2*i**2 + 0 + 1/20*i**6 + 0*i + 0*i**3. What is the third derivative of u(l) wrt l?
36
Let z(a) be the second derivative of a**5/60 - 5*a**4/24 + 2*a**3/3 - 2*a. Let g(t) be the second derivative of z(t). Find the first derivative of g(i) wrt i.
2
Suppose -4*m + 3 + 3 = -v, 0 = -3*v + 3*m. What is the second derivative of 2*z + 8*z**5 + 4*z - v*z**5 wrt z?
120*z**3
Suppose -5*h = -3*l - 0*h + 11, -l = h - 1. Let a(d) = d**2 - d - 2. Let w be a(-2). Find the third derivative of -m**l - m**2 + 3*m**4 - m**w wrt m.
48*m
Let o(q) be the third derivative of -q**5/20 + 5*q**3/6 - q**2. Differentiate o(s) wrt s.
-6*s
Let q(j) = -j + 1. Let n be q(2). Let x be n/6 + 25/6. Find the third derivative of -u**3 + u**3 - u**x + 0*u**2 - 3*u**2 wrt u.
-24*u
Let q(r) = -r**4 - 3*r**3 - 3*r**2. Let p(s) = -1 + 4*s**3 + 4*s**2 + 2 + 0 + s**4. Let a(n) = 3*p(n) + 4*q(n). Find the first derivative of a(u) wrt u.
-4*u**3
Let v(f) = -15*f**3 + 7*f**2 - 3*f - 7. Let p(u) = 7*u**3 - 3*u**2 + 2*u + 3. Let b(t) = -14*p(t) - 6*v(t). What is the second derivative of b(n) wrt n?
-48*n
Let c be 74/8 - (-4)/(-16) - 4. Let n be 27/12 - 2/8. What is the third derivative of y**c + 10*y**2 - y**n - 6*y**2 wrt y?
60*y**2
Let w be (18/15)/(2/5). Find the second derivative of -5*j**3 + w*j**3 + 4*j - 3*j wrt j.
-12*j
Let h(d) = -d**3 - d - 2. Let v be h(-2). Let u = v + -5. What is the second derivative of 0*n**2 - 4*n + 3*n**2 + u*n wrt n?
6
Let s = -35 - -39. Let w(o) be the second derivative of 3*o + 0*o**2 + 1/6*o**3 - 1/12*o**s + 0. Find the second derivative of w(x) wrt x.
-2
Let y(p) = -p - 1. Let k be (1/2)/(2/(-8)). Let q be y(k). Find the first derivative of 3*a - 2 + 3 + 1 + q wrt a.
3
Let k(i) be the third derivative of i**6/120 + i**3/6 - 3*i**2. Differentiate k(r) with respect to r.
3*r**2
Let x(v) be the first derivative of -2*v**5/5 + v**4/2 + v**2/2 - 2*v - 61. What is the second derivative of x(a) wrt a?
-24*a**2 + 12*a
Let u = -20 + 26. Find the third derivative of -6*n**u + 2*n**6 + 0*n**2 + 4*n**2 wrt n.
-480*n**3
What is the third derivative of 0*w**2 - w**3 + 4 + 2*w**2 - 15 + 35*w**5 wrt w?
2100*w**2 - 6
Suppose -2*v - n + 11 = 3, 2*v - 12 = -3*n. What is the second derivative of s**5 + v*s**5 - 2*s - 2*s**5 wrt s?
40*s**3
Suppose -5 = -4*g + 7. Let d(x) = -x**6 + 3*x**5 + 6*x**2 + 3. Let w(n) = n**5 + n**2 + 1. Let s(u) = g*w(u) - d(u). What is the third derivative of s(m) wrt m?
120*m**3
What is the third derivative of 0*x**2 + 8*x**3 - x**2 + 0*x**2 wrt x?
48
Let k(i) be the first derivative of i**4/4 + i**3/3 + i**2/2 + 2*i - 4. Let h be k(0). What is the derivative of -r - 6 + 4 - 3*r**h + r wrt r?
-6*r
Let y(g) be the first derivative of -6*g**2 + 15*g - 9. Let o(n) = n - 1. Let w(v) = 18*o(v) + y(v). Differentiate w(s) wrt s.
6
Let v be (-3 - -1)/(2 - 3). Suppose -3*r = v*r. Find the second derivative of r*j**2 + 3*j + j**3 + 3*j**2 - 3*j**2 wrt j.
6*j
Let f(n) = 4*n + 2. Let x be f(3). Suppose 5*a - 2*a = -2*h, 0 = 3*h + a - x. Find the second derivative of -j**3 + 2*j - 4*j**3 + h*j**3 wrt j.
6*j
Suppose -t = -3*m - 11, -m + 0*m + 31 = 4*t. Let n = t - 6. Find the second derivative of 0*p**3 - p**3 + n*p**3 + p wrt p.
6*p
Let u(d) be the third derivative of d**9/24 + d**5/3 + 17*d**2. Find the third derivative of u(n) wrt n.
2520*n**3
Suppose 5*c = -25, -2*b + 2*c + 1 + 15 = 0. Suppose 2*i - 5 = -5*f, 3*f = i + i + 19. Differentiate -f*g + b - 6 + 7*g with respect to g.
4
Let p(f) = 2*f**2 - f - 2. Let w be p(2). Suppose 3*l - 5*u - 2 = 0, 16 - 4 = 2*l + 2*u. Find the first derivative of -2*v**w - 1 + 4*v**l + 0 wrt v.
8*v**3
Let n(g) be the third derivative of g**6/120 + g**4/12 + g**3/3 + 2*g**2. Let w(x) be the first derivative of n(x). Find the first derivative of w(f) wrt f.
6*f
Let p(c) be the first derivative of -c**4/6 - c**2/2 - c + 2. Let k(i) be the first derivative of p(i). Differentiate k(z) wrt z.
-4*z
Let h = -8 - -16. Find the third derivative of -6*w**2 - 9*w**6 + 0*w**2 - 8*w + h*w wrt w.
-1080*w**3
Let d(y) be the second derivative of -y**5/30 + y**4/8 + y**2/2 - 4*y. Let i(u) be the first derivative of d(u). Find the second derivative of i(j) wrt j.
-4
Let m(r) be the second derivative of 0*r**2 + 0 - 1/3*r**3 + 0*r**4 - 1/5*r**5 - 3*r. What is the second derivative of m(z) wrt z?
-24*z
Find the first derivative of 26 + 4*x**2 - 19 + 20 + 2*x**2 wrt x.
12*x
Let y(s) be the first derivative of -s**6/72 + s**5/60 + 4*s**3/3 - 7. Let d(k) be the third derivative of y(k). What is the second derivative of d(o) wrt o?
-10
Let z(m) = 79*m**2 + 95*m + 5. Let g(k) = -39*k**2 - 48*k - 3. Let f(u) = 5*g(u) + 3*z(u). Find the second derivative of f(b) wrt b.
84
Let c(l) = 33*l**4 - 5*l**3 - 43*l. Let b(d) = d**4 + d**3. Let x(t) = 5*b(t) + c(t). What is the second derivative of x(g) wrt g?
456*g**2
Suppose -5*s - 13 = 2*k, -12 = -4*s - 32. What is the third derivative of 6*y**2 + y**k - 2*y**6 + 2*y**6 - 2*y**2 wrt y?
120*y**3
Let p(f) be the second derivative of -1/12*f**4 + 0*f**2 + 0*f**7 + 0*f**3 + 0 - 4*f + 0*f**5 + 0*f**6 - 1/14*f**8. What is the third derivative of p(r) wrt r?
-480*r**3
Let l(t) be the second derivative of t**5/2 + 5*t**3/6 + 17*t. What is the second derivative of l(k) wrt k?
60*k
Let o = 16 - 12. Find the first derivative of i**4 - 5*i**4 + 0*i**o + 3 wrt i.
-16*i**3
Let c(i) = i. Let m(x) = 5*x + 2. Let q(k) = -6*c(k) + m(k). Differentiate q(r) wrt r.
-1
Let m = -32 - -57. What is the second derivative of 4*r**5 + m*r**4 - 25*r**4 + 4*r wrt r?
80*r**3
Let s(z) be the second derivative of -4*z**8/7 + z**7/21 + 37*z**4/12 + z**2 + 27*z + 1. What is the third derivative of s(h) wrt h?
-3840*h**3 + 120*h**2
Let x(i) = i**4 + i**2 - i. Let g(f) = -13*f**4 - 6*f**2 + 8*f. Let a(t) = -g(t) - 6*x(t). Find the second derivative of a(w) wrt w.
84*w**2
Suppose -2*c - 4*b + 32 = -0, -3*c + 3*b = -21. Find the second derivative of c - 10 + 5*d - 2*d**2 + 0*d**2 wrt d.
-4
Let o(b) be the second derivative of 2*b - 1/3*b**3 + 0 + 0*b**2 + 1/3*b**4. Find the second derivative of o(j) wrt j.
8
Let y(o) = 2*o - 18. Let t(m) = -3*m + 18. Let b(x) = 3*t(x) + 4*y(x). What is the first derivative of b(w) wrt w?
-1
Let k(n) = 2*n - 8. Let x(t) = 2*t**2 - t. Let w be x(2). Let l be k(w). What is the third derivative of 3*j**4 + j**2 - 2*j**l - 2*j**2 wrt j?
24*j
Let w(a) be the second derivative of 3*a**8/14 - 11*a**4/12 + 2*a. Find the third derivative of w(s) wrt s.
1440*s**3
Let z(m) = -3*m**3 - 4*m**2 - 4*m - 5. Let u(c) = -3*c**3 - 5*c**2 - 5*c - 5. Let b(i) = -4*u(i) + 5*z(i). Find the first derivative of b(o) wrt o.
-9*o**2
Let z(t) = -t**3 + 7*t**2 + t + 1. Let w be z(7). Let x = w + -5. Differentiate 2*m**3 - 2*m**3 + 0 - 3 - 3*m**x wrt m.
-9*m**2
What is the third derivative of -27*n**2 + 18*n**2 - 20*n**2 - 5*n**5 + 14*n**5 wrt n?
540*n**2
Suppose -26 = -4*v + 2. Suppose -3*j + 3*t = -2 - v, -5*j - 5*t + 5 = 0. Find the third derivative of -3*p**3 - 3*p**2 - j*p**4 + 3*p**3 wrt p.
-48*p
Suppose 4*w + 3*p = 5, 5*w - 13 = 3*p - 0*p. Suppose 4*c = -4*z - 4, 9*c - 1 = 4*c - 3*z. What is the derivative of 5 - j**c - 4 - w wrt j?
-2*j
Let n(m) be the second derivative of m**6/120 + m**5/30 - m**3/6 + m. Let v(a) be the second derivative of n(a). What is the second derivative of v(s) wrt s?
6
Let s(t) be the first derivative of t**8/336 - t**5/60 + t**2/2 - 4. Let k(j) be the second derivative of s(j). What is the third derivative of k(g) wrt g?
60*g**2
Let g(h) = -9*h**4 + 5*h**2 + 11*h. Let l(w) = -5*w**4 + 2*w**2 + 5*w. Let b(r) = 2*g(r) - 5*l(r). What is the second derivative of b(p) wrt p?
84*p**2
Let a(k) be the third derivative of -k**6/120 + k**3/3 + 6*k**2. Find the first derivative of a(b) wrt b.
-3*b**2
Let o(m) = -8*m**2 - 2*m. Let n(t) = -33