m - 9 = -m. What is the second derivative of -m*i + 6*i**2 - 4*i**2 - i**2 wrt i?
2
Let i(k) = k**2 + 7*k + 3. Let d be i(-7). What is the third derivative of -5*c**2 + 10*c - 4*c**d - 10*c wrt c?
-24
Let o(y) = -32*y**4 + 6*y**2 + 25*y + 6. Let l(c) = -c**4 + c**2 - c + 1. Let b(d) = -6*l(d) + o(d). What is the second derivative of b(j) wrt j?
-312*j**2
Let c(i) be the first derivative of 2*i**3 - 2*i**2 + 2. Find the second derivative of c(d) wrt d.
12
Let k(g) be the second derivative of 4*g**3 - 7*g**2 + 9*g. What is the derivative of k(n) wrt n?
24
What is the first derivative of 6 - 5*u**2 + 0*u**2 - 3 + 12 wrt u?
-10*u
What is the derivative of 2 - 2 - 7*v**2 + 0 + 5 wrt v?
-14*v
Suppose -5*p = r - 92, -4*r + 476 - 85 = -3*p. What is the second derivative of -4*b - 4*b**2 + r - 97 wrt b?
-8
Find the second derivative of -6*c**4 + 37*c - 77*c + 32*c wrt c.
-72*c**2
Let u(k) be the second derivative of k**3/6 - k**2/2 - k. Let r be u(6). Find the second derivative of 4*n**5 + 4*n - 3*n**r - 5*n wrt n.
20*n**3
Let x(y) = 405*y - 350. Let a(q) = 15*q - 13. Let c(d) = 55*a(d) - 2*x(d). What is the first derivative of c(s) wrt s?
15
Suppose 3*w + 2 = 4*w. Differentiate 5 + w*b - 3*b + 2*b - 4 wrt b.
1
What is the derivative of -46 + r - 10 - 2*r + 3*r**2 wrt r?
6*r - 1
Suppose 0 = -2*h - 2, 19 = 4*j - 4*h - 1. What is the third derivative of 2*y**j + 2*y**2 + 5 - 5 wrt y?
48*y
Let p(c) = 5*c**2 - 5*c - 8. Let g(q) = q**2 - q - 1. Let l(a) = 6*g(a) - p(a). Let y(i) be the first derivative of l(i). What is the derivative of y(f) wrt f?
2
Let g(i) be the second derivative of i**5/4 + 3*i**3/2 + 16*i. Find the second derivative of g(w) wrt w.
30*w
Let k(f) = -2*f - 6. Let b be k(-4). Let w(h) = -3*h - 3. Let n be w(-3). What is the third derivative of i**b + 0*i**6 + 0*i**2 - 6*i**n + 2*i**6 wrt i?
-480*i**3
Suppose 0 = 2*m + 1 - 5. Differentiate y**2 - 1 + 3 + 0*y**m wrt y.
2*y
Let r(y) = -y**2 - 7*y + 2. Let h be r(-7). What is the third derivative of -3*n**3 + 0*n**h - 8*n**2 + 12*n**2 wrt n?
-18
Let a(o) be the second derivative of 4*o + 0*o**3 - 1/3*o**4 + 3/2*o**2 + 0. Differentiate a(k) with respect to k.
-8*k
What is the first derivative of -m**2 - 29 + 0*m**2 + 23 wrt m?
-2*m
Let x(b) be the second derivative of 0*b**4 + 0*b**5 + 0*b**2 + 1/42*b**7 - 5/6*b**3 - 5*b + 0*b**6 + 0. What is the second derivative of x(m) wrt m?
20*m**3
Let i(w) = -12*w**2 + 16*w - 14. Let h(j) = -4*j**2 + 5*j - 5. Let d(q) = 14*h(q) - 5*i(q). Find the second derivative of d(g) wrt g.
8
Suppose -5*y + 27 = -3*m, -3*y + 3*m + 5 = 4*m. Find the third derivative of y*j**5 + 3*j**5 - 4*j**5 - 4*j**2 wrt j.
120*j**2
Let n(s) = -s**2 - 3*s - 9. Let c(v) = -v - 4. Let b = 22 + -26. Let d(q) = b*n(q) + 9*c(q). What is the second derivative of d(w) wrt w?
8
Let r(n) be the third derivative of -n**6/3 - n**3 + 22*n**2. What is the first derivative of r(c) wrt c?
-120*c**2
Let s = 10 + -10. Let k(i) be the second derivative of s*i**3 - 1/12*i**4 + 0*i**2 - 3*i + 0 + 1/5*i**5. Find the third derivative of k(q) wrt q.
24
Let s(w) be the second derivative of 9*w**5/10 + 5*w**4/12 + 18*w. What is the third derivative of s(f) wrt f?
108
Let y(j) = j**2 + 5*j + 2. Let w be y(-5). Let v be (5 - 1 - w) + 1. Find the third derivative of -u - v*u**4 + u - u**2 wrt u.
-72*u
Let f(g) be the third derivative of -g**7/840 + g**6/180 + g**3/6 - 5*g**2. Let b(n) be the first derivative of f(n). Find the third derivative of b(h) wrt h.
-6
Let u be (33/(-6) + 1)*-2. What is the derivative of 1 - 9*r**2 + u*r**2 - 3*r**4 wrt r?
-12*r**3
Suppose 2*q + 8 = 0, -h + 3*h - 12 = 3*q. Let n(i) be the third derivative of 0 - 1/12*i**4 - 2/3*i**3 + 2*i**2 + h*i. What is the derivative of n(f) wrt f?
-2
Let r(l) be the third derivative of -19*l**5/60 + 5*l**4/24 + 4*l**2. What is the second derivative of r(x) wrt x?
-38
Let x(w) = -14*w**2 - 9*w - 14. Let n(a) = -a - 1. Let u(q) = -18*n(q) + 2*x(q). Find the first derivative of u(p) wrt p.
-56*p
Let x(s) = s - 1. Let b(d) = 5*d - 8. Let g be ((-4)/7)/(4/(-28)). Let i(h) = g*x(h) - b(h). What is the first derivative of i(o) wrt o?
-1
Let u(f) = -3*f**3 - 6*f - 3. Let g(d) = -6*d + 2*d**3 + 13*d - 2*d + 3. Let l(n) = 6*g(n) + 5*u(n). Differentiate l(q) with respect to q.
-9*q**2
Let s(j) be the second derivative of 13*j**5/20 + 7*j**3/6 - 14*j. Find the second derivative of s(k) wrt k.
78*k
Let x be 2/(-7) + 96/42. Find the third derivative of c**6 + 0*c**2 - x*c**6 - 4*c**2 wrt c.
-120*c**3
Let y(b) be the first derivative of -3*b**3 - b**2 + 13. Find the second derivative of y(v) wrt v.
-18
Let g(d) be the second derivative of -13*d**6/30 + d**3/6 - 19*d**2 + 32*d. What is the derivative of g(u) wrt u?
-52*u**3 + 1
Let r(c) = c**3 + 8*c**2 - 9*c + 8. Let i be r(-9). Let j be 1/(-4) + 18/i. What is the third derivative of 0*t**2 - 2*t**4 - 3*t**j + t**4 wrt t?
-24*t
Let a(n) = 6*n**2 - n + 1. Let l be a(1). Find the third derivative of -5*t**l + 5*t**2 - 5*t**6 + 4*t**6 - t**2 wrt t.
-720*t**3
Let c(i) be the second derivative of -5*i**3/2 + 5*i**2 - 11*i. What is the first derivative of c(k) wrt k?
-15
Suppose 3*w - 1 = -t - 8, -5*w = -4*t + 23. What is the third derivative of -3*l**t - 6*l**6 + 13*l**6 - 3*l**6 wrt l?
480*l**3
Suppose -21 = -5*t - 3*z, -2*t + 9 = 3*t - 3*z. Find the second derivative of -t*r**2 + 0*r**2 + 2*r**2 + 2*r + 3*r**2 wrt r.
4
Let h(w) = 31*w**2 - 13*w + 8. Let n(c) = 15*c**2 - 6*c + 4. Let x(t) = 6*h(t) - 13*n(t). Find the first derivative of x(v) wrt v.
-18*v
Let b(k) be the second derivative of -k**8/4 + 23*k**4/12 - k. Find the third derivative of b(p) wrt p.
-1680*p**3
Let g be (-10)/2*4/(-10). What is the third derivative of g*m**4 + 5*m**2 - 2 + 2 wrt m?
48*m
Let u be (3 + 21/(-6))*-6. What is the third derivative of 5*a**u - 2*a**3 - 2*a**3 - a**2 wrt a?
6
Let s = -41 - -41. Let i(u) be the third derivative of 0*u - 2/3*u**3 - 1/12*u**4 + s - 4*u**2. Find the first derivative of i(c) wrt c.
-2
Let o(c) = -59*c**4 - 3*c**3 - 3*c**2 + 69. Let u(f) = -59*f**4 - 2*f**3 - 2*f**2 + 68. Let v(x) = -2*o(x) + 3*u(x). What is the first derivative of v(b) wrt b?
-236*b**3
Let c(f) = 16*f**5 - 6*f**3 - 6*f**2 - f - 6. Let j(p) = -p**5 - p**3 - p**2 - 1. Let y(l) = c(l) - 6*j(l). Find the second derivative of y(o) wrt o.
440*o**3
Let s(l) be the third derivative of -l**2 + 0*l + 1/20*l**5 - 1/8*l**4 + 0*l**3 + 0. What is the second derivative of s(v) wrt v?
6
Let j(a) = -3*a**3 + 5*a. Let i(c) = 4*c**3 - 6*c. Let d(s) = 2*i(s) + 3*j(s). What is the second derivative of d(h) wrt h?
-6*h
What is the first derivative of 187 - 4*r + 16*r**3 - 224 + 4*r wrt r?
48*r**2
Let n(t) = 2*t**3 - 12*t**2 - 8*t - 12. Let x(r) = r**2 + r + 1. Let i = 10 + -11. Let g(y) = i*n(y) - 12*x(y). What is the second derivative of g(p) wrt p?
-12*p
Suppose 2*z + 2 + 0 = 0. Let i be (1 - -1) + z + 1. What is the third derivative of 4*g**6 - 6*g**6 - 5*g**i + 4*g**2 wrt g?
-240*g**3
Suppose 2*w - 5*g + 22 = 0, -2*g - 16 = w - 5. Let b = -7 - w. What is the third derivative of -2*a**2 - b*a**3 - a**2 + 4*a**2 + 6*a**3 wrt a?
12
What is the third derivative of -13*f**2 - 4*f**3 + 54*f**2 + 25*f**3 - 30*f**2 wrt f?
126
What is the first derivative of -21*n + 17 + 21*n + 24 + 35*n**2 wrt n?
70*n
Let y(q) = -13*q**2 + 11*q - 6. Let z(k) = 27*k**2 - 21*k + 11. Let x(s) = -11*y(s) - 6*z(s). What is the second derivative of x(c) wrt c?
-38
What is the second derivative of -14*p + 10*p**4 + 4*p**4 + 2*p + 2*p wrt p?
168*p**2
Differentiate -30 + 1 - 29*d**4 - 8 with respect to d.
-116*d**3
Let d(m) be the third derivative of 0*m - 2*m**2 + 1/24*m**4 + 7/6*m**3 + 0. Differentiate d(r) with respect to r.
1
Suppose -w + 0*w + 58 = 0. Differentiate 0*g**4 + w - 52 + 3*g**4 wrt g.
12*g**3
Suppose 2 = -a + 5. Suppose -4*j + 21 = w, -j - 2*w = -11 - 3. What is the second derivative of -7*i**3 - 2*i**j + 2*i + 7*i**a wrt i?
-24*i**2
Let g(z) be the first derivative of -2 - 1/3*z**6 + 0*z**5 + 0*z**4 - 7/2*z**2 + 0*z + 0*z**3. What is the second derivative of g(d) wrt d?
-40*d**3
Let d = -5 + 19. Let j = d + -9. Find the second derivative of -3*r - 6*r**5 + r**j + r**5 + 2*r**5 wrt r.
-40*r**3
Let t = -8 - -6. Let d be (16/(-12))/(t/3). Find the first derivative of 3 +