*c**2
Let x(z) be the third derivative of -z**7/10 - 8*z**5/15 + 31*z**2. Find the third derivative of x(y) wrt y.
-504*y
Let w(z) be the second derivative of 25*z**4/12 - 31*z**2/2 - 36*z. Differentiate w(q) with respect to q.
50*q
What is the second derivative of 11*k**4 + k**4 + 6*k - 18*k wrt k?
144*k**2
Let a = -6 + 11. Let k(i) be the second derivative of -1/30*i**6 + 0 + 0*i**a + i + 0*i**3 - 1/2*i**2 + 0*i**4. Differentiate k(c) wrt c.
-4*c**3
What is the second derivative of -15*x + x**2 - x**2 + 25*x - 18*x**3 wrt x?
-108*x
Let f = -41 + 41. Let n(j) be the second derivative of f*j**4 - 1/10*j**5 - 3*j + 0 + 0*j**2 - 2/3*j**3. Find the second derivative of n(r) wrt r.
-12*r
Let m(x) be the second derivative of 5/2*x**2 + 0*x**3 - 5*x - 1/6*x**6 + 0*x**4 + 0 + 0*x**5. Find the first derivative of m(b) wrt b.
-20*b**3
Let q(r) be the third derivative of 5*r**9/3024 + r**6/360 - r**3/2 - 2*r**2. Let w(s) be the first derivative of q(s). Find the third derivative of w(f) wrt f.
300*f**2
Let z(g) be the first derivative of -g**7/840 - g**4/12 - 8*g**3/3 - 4. Let w(n) be the third derivative of z(n). Find the first derivative of w(t) wrt t.
-3*t**2
Let v(a) = -4*a**2 + 2*a + 1. Let w(o) = -o**2 + 3*o**2 - 3*o + 3*o**2. Let c(l) = 3*v(l) + 2*w(l). What is the derivative of c(y) wrt y?
-4*y
Let v(h) be the first derivative of h**6/40 - h**3/3 - 3*h**2/2 - 3. Let z(q) be the second derivative of v(q). Differentiate z(d) with respect to d.
9*d**2
Let u be (-2 - 1)*(-4)/3. Suppose -u*x = l - 14 - 2, -l = -3*x + 5. Find the first derivative of -3 + x*i**3 - 4*i**3 + 2*i**3 wrt i.
3*i**2
Let r be 2 + (-1)/(-1) + 1. Let o = -15 + 18. Find the first derivative of p**3 + o - r - 3 wrt p.
3*p**2
Let b(i) be the third derivative of 2*i**6/15 - 5*i**5/12 - 24*i**2. What is the third derivative of b(t) wrt t?
96
Let u(n) be the first derivative of -n**6/6 + 17*n**3 + n**2 + 3*n + 42. Find the second derivative of u(c) wrt c.
-20*c**3 + 102
Suppose -2*a = 3*a - 90. Suppose 3*d + o = 16, 5*d + 3*o - a = d. What is the third derivative of -4*p**2 - 4*p**2 + 3*p**2 - p**4 + d*p**2 wrt p?
-24*p
What is the first derivative of 2 - 2*a**2 + 4*a**2 + 2*a**2 + 2 wrt a?
8*a
Let m(y) = -3*y**4 - 5*y**3 - 18*y - 5. Let t(b) = 4*b**4 + 6*b**3 + 17*b + 6. Let i(h) = 6*m(h) + 5*t(h). Find the second derivative of i(r) wrt r.
24*r**2
Let z(t) be the second derivative of t**5/5 + t**2/2 + 6*t. Differentiate z(w) wrt w.
12*w**2
Let a(d) = d - 1. Let o(g) = -g - 9. Let q(b) = 3*a(b) - o(b). Let m(p) = 3 - 2 - 2. Let y(f) = -3*m(f) - q(f). Differentiate y(u) wrt u.
-4
Let l(s) be the third derivative of s**5/15 + 5*s**4/12 + 12*s**2. Find the second derivative of l(o) wrt o.
8
Let r(n) be the second derivative of -23*n**5/20 - 19*n**2/2 - n + 39. Differentiate r(g) with respect to g.
-69*g**2
Let x(i) = 2*i**2 - 3*i + 1. Suppose -2 = y - 4. Let n be x(y). What is the derivative of -4*r**3 + 3*r**3 - 1 + n wrt r?
-3*r**2
Find the third derivative of -7*v**2 + 2*v**2 - 3*v**3 - 3*v**3 + v**3 wrt v.
-30
Let g(o) be the second derivative of -1/6*o**4 + 0*o**5 + 0*o**3 + 0*o**2 - 1/30*o**6 + 0 + 3*o. Find the third derivative of g(x) wrt x.
-24*x
Let g(n) = n**3 - 3*n - 5. Let t be 3/2 + (-2)/(-4). Let v(h) = h**3 - 2*h - 4. Let l = 5 - 8. Let u(i) = l*v(i) + t*g(i). Differentiate u(r) with respect to r.
-3*r**2
Let a(z) = -z**3 - z**2 + 1. Let i(d) = -4*d**4 + d**3 + d**2 + 1. Let w(t) = a(t) + i(t). Differentiate w(m) wrt m.
-16*m**3
Let l(y) = 37*y**3 - 7*y - 38. Let z(g) = -18*g**3 + 4*g + 19. Let p(u) = -4*l(u) - 7*z(u). Differentiate p(h) with respect to h.
-66*h**2
What is the second derivative of -2*d**2 + 3*d + 2*d**4 + 2*d**2 - 15*d**4 wrt d?
-156*d**2
What is the second derivative of -4*f - 9692*f**3 + 48*f + 9649*f**3 wrt f?
-258*f
Suppose 5 = -2*m + 2*r + r, 4*m = -5*r + 23. What is the second derivative of -b**2 + 2*b + b**2 + m*b**2 wrt b?
4
Let u(r) be the first derivative of 3*r**4/4 + 3*r**3 - 3. Find the third derivative of u(v) wrt v.
18
Suppose 2*q + 2 = -0. Let a(z) = z**4 + z**3 - z**2 - z. Let i(m) = -3*m**4 - 4*m**3 + 4*m**2 + 4*m - 2. Let h(t) = q*i(t) - 4*a(t). Differentiate h(x) wrt x.
-4*x**3
Let v be (-6)/3*1 + 6. Suppose -v = k - 6. What is the third derivative of -2*o**k - 3*o**6 - 3*o**6 + 5*o**6 wrt o?
-120*o**3
Let k(w) = 7*w**2 - w. Let c = 13 + -7. Let y(r) = -r**2. Let z(x) = c*y(x) + k(x). Find the second derivative of z(q) wrt q.
2
Let t(m) be the first derivative of 1 + 0*m**3 - 2*m + 1/6*m**4 - m**2. Let n(z) be the first derivative of t(z). Differentiate n(g) with respect to g.
4*g
Let x(k) be the first derivative of 26*k**3/3 - 13*k**2/2 - 23. What is the second derivative of x(g) wrt g?
52
Let o(c) = 2*c - 24. Let w be o(10). Let y(v) = 4*v + 1. Let x(j) = -12*j - 3. Let m(z) = w*x(z) - 11*y(z). Differentiate m(f) with respect to f.
4
Let s = 3 - 3. Suppose z + 0*z = s. Find the third derivative of q**2 + 4*q**4 + z*q**4 - 3*q**4 wrt q.
24*q
Let y(l) = l**3 + 6*l**2 + 3*l. Let r be y(-4). Find the first derivative of r*a - 2 + 0 - 17*a wrt a.
3
Suppose -12 = 4*l - 2*x, -2*l = -3*l - 2*x + 7. Let j = l + 4. Find the third derivative of 2*m**3 + 3*m**2 + m**j - 2*m**2 wrt m.
18
Let m(u) be the first derivative of -u**9/1512 + u**5/120 - u**3 + 3. Let j(h) be the third derivative of m(h). What is the second derivative of j(n) wrt n?
-40*n**3
Suppose 7*z - 3*z - 28 = 0. Let q(c) = 3*c**3 + c**2 - 2*c. Let v be q(1). What is the first derivative of -3*s - 3 + z*s + v - 3 wrt s?
4
Suppose 4*h = 3*h. Let t(i) be the first derivative of 1/4*i**4 + h*i**2 + 2 - 2/3*i**3 + 0*i. Find the third derivative of t(r) wrt r.
6
Let b(z) = 4*z + 9. Let r(t) = -7*t - 18. Let n(a) = 5*b(a) + 2*r(a). What is the first derivative of n(x) wrt x?
6
Suppose -14 = -4*r + 2. What is the third derivative of -4*t**2 + t**2 - 2*t**2 - t**6 + r*t**2 wrt t?
-120*t**3
Let f(a) be the third derivative of -4*a**5/15 + 23*a**3/6 - 19*a**2. Differentiate f(z) wrt z.
-32*z
Suppose 7*c = 4*c + 6. Find the second derivative of 8*u**2 + c*u - 2*u**2 - 6*u wrt u.
12
What is the derivative of -3*k**2 + 2*k**2 - 8*k**4 + k**2 - 6 wrt k?
-32*k**3
Suppose j - 5 = 0, -4*j = -2*g + g - 17. Differentiate 0 + 1 + 2 + g*q**4 with respect to q.
12*q**3
Let y(n) be the first derivative of -n**7/210 + n**5/120 + n**3/3 + 1. Let t(m) be the third derivative of y(m). What is the second derivative of t(q) wrt q?
-24*q
Let i be -1 + (56/4 - 1). Differentiate 5*l + 2 + i*l - 13*l wrt l.
4
Let t = 1 - -1. What is the derivative of -5 + 1 + t*r + 3 wrt r?
2
Differentiate 0*n - 11*n + 8 + 2*n wrt n.
-9
Let n(p) be the third derivative of 0 + 0*p + 0*p**5 + 0*p**4 - 1/12*p**6 + 8*p**2 - 1/6*p**3. Differentiate n(o) with respect to o.
-30*o**2
Let c(b) = -b**2 - b. Let h(r) = 7*r**2 + 7*r. Let z(j) = -28*c(j) - h(j). What is the second derivative of z(i) wrt i?
42
Let i be (14/8 - 3)*-4. What is the second derivative of -z**5 - z + 0*z**5 - 2*z - z**i wrt z?
-40*z**3
What is the second derivative of 19*t**3 + 17*t - 46*t**2 + 46*t**2 wrt t?
114*t
Let i(a) = a - 8. Let d be i(5). Let b = -3 - d. What is the second derivative of 2*v + 3*v**4 - 2*v**4 + b*v wrt v?
12*v**2
Find the second derivative of 63*f**3 + 3*f**5 - 33*f**3 - 23*f - 30*f**3 wrt f.
60*f**3
Find the third derivative of 34*h**2 + 8*h - 13*h**2 - 8*h + 11*h**4 wrt h.
264*h
Differentiate -3 + 2 - 5*a**3 + 1 + 3 wrt a.
-15*a**2
Let q(o) = o**2 - 3*o - 7. Let a be q(5). Suppose 2*x + 19 - 27 = 0. Find the first derivative of -5*p**4 + 1 + x*p**4 + p**3 - p**a wrt p.
-4*p**3
Suppose -3*v + 2*t + 2 = -12, 4 = -4*t. Differentiate 0*g**2 - g**2 + 0*g**2 + 5 - v with respect to g.
-2*g
Let b be (-2 + 10 - 2) + -1. Find the second derivative of -q - 5*q**4 + b*q**4 - 3*q**5 wrt q.
-60*q**3
Let b(s) be the second derivative of -s**5/20 - s**4/12 + s**2/2 - 3*s. Let f(y) be the first derivative of b(y). Find the second derivative of f(l) wrt l.
-6
Find the second derivative of y + 17*y**5 + 0*y - 14*y**5 wrt y.
60*y**3
Let h(r) be the third derivative of -r**5/5 - 3*r**3/2 + 12*r**2. Differentiate h(m) with respect to m.
-24*m
Let k(m) = -m + 1. Let v be k(-4). Suppose y - 6 = -2*y. Find the first derivative of -y*t - 3 + 4*t + v wrt t.
2
