ivative of f(t) wrt t.
2
Let w(v) be the third derivative of -v**6/15 - v**4/2 + v**2. Find the second derivative of w(h) wrt h.
-48*h
Let c(s) be the second derivative of 0*s**5 + 1/15*s**6 + 0*s**4 + 0*s**3 - s - 3/2*s**2 + 0. Find the first derivative of c(b) wrt b.
8*b**3
Let r(z) be the second derivative of -3*z**5/20 + 4*z**4/3 - 18*z. Find the third derivative of r(q) wrt q.
-18
Let d = -1 - -5. Let y(q) be the first derivative of 0*q + 0*q**3 + 1 + 1/4*q**d - q**2. What is the second derivative of y(z) wrt z?
6*z
Let k be (0 + -1)/((-4)/(-52)). Let i(t) = 3*t + 11. Let w(u) = -7*u - 23. Let c(b) = k*i(b) - 6*w(b). What is the derivative of c(y) wrt y?
3
What is the third derivative of -4*q**6 + 21*q**6 - 12*q**2 - 5*q**2 - 3*q**2 wrt q?
2040*q**3
What is the second derivative of -27*n**2 + 17*n**2 + 2*n + n - 2*n**3 wrt n?
-12*n - 20
Suppose 3*f + 14 = 4*f + 4*w, 5*f = -2*w + 34. Let n(s) = -s + 6. Let q be n(f). What is the derivative of t**2 - 2*t - 1 + 2*t + q wrt t?
2*t
Let u = -6 - -8. Find the first derivative of 0 + 7 - 2*k**2 - 4*k**u wrt k.
-12*k
Let q(h) be the first derivative of -3*h**4/2 + 5*h + 7. What is the derivative of q(z) wrt z?
-18*z**2
Differentiate -19 - 26 - 26*j - 10*j + 8 wrt j.
-36
Find the third derivative of 3*g**3 + 5*g**2 + g**3 - 7*g**3 wrt g.
-18
Let s(z) be the first derivative of z**6/30 - 5*z**4/24 + 3*z**2/2 + 3. Let k(i) be the second derivative of s(i). What is the second derivative of k(u) wrt u?
24*u
Find the second derivative of -11*k - 27*k**3 + 13*k - 12*k wrt k.
-162*k
Let d(g) = 7*g**2 + 7*g + 2. Let s = 23 - 21. Let v(t) = -342*t**2 - 342*t - 99. Let j(o) = s*v(o) + 99*d(o). What is the second derivative of j(z) wrt z?
18
Let g(t) be the first derivative of -9*t**4/4 + 2*t**3 + 9. Find the third derivative of g(o) wrt o.
-54
Let d(a) = 1. Let k(v) = 1. Let t(l) = d(l) - 2*k(l). Let r(p) = p**3 + 4. Let q(u) = r(u) + 5*t(u). What is the derivative of q(w) wrt w?
3*w**2
Let s(y) be the second derivative of 0 + 10*y - 9/2*y**2 - y**3. Find the first derivative of s(o) wrt o.
-6
What is the derivative of -8 + 236*z**3 - 2 - 267*z**3 wrt z?
-93*z**2
Let z(n) be the third derivative of 19*n**6/60 + 7*n**5/20 + 38*n**2. What is the third derivative of z(h) wrt h?
228
Let q(m) = 2*m**2 - 10*m + 3. Let n be q(6). Differentiate 4*b - n + 0*b + 7 wrt b.
4
Let a be 1/((2/(-4))/(-1)). Differentiate 5*w**2 + 4 + 0*w + 0*w + 0*w**a wrt w.
10*w
Let k(c) be the second derivative of -4*c**6/5 + 5*c**4/4 + 19*c. Find the third derivative of k(g) wrt g.
-576*g
Let n(a) = 22*a**4 + 3*a**3 - 2*a**2. Let g(u) = 23*u**4 + 4*u**3 - u**2. Let p(x) = -3*g(x) + 4*n(x). Find the third derivative of p(w) wrt w.
456*w
What is the second derivative of y**4 - 2*y**4 - 2*y**4 + 4*y**4 - 6*y wrt y?
12*y**2
Let d(h) be the first derivative of -h**9/1008 + h**6/120 + 2*h**3/3 - 2. Let q(w) be the third derivative of d(w). What is the third derivative of q(s) wrt s?
-180*s**2
Let y(w) = -11*w**3 + 2*w**2 - 7*w - 2. Let j(t) = 12*t**3 - 3*t**2 + 7*t + 3. Let i(h) = -2*j(h) - 3*y(h). Find the second derivative of i(k) wrt k.
54*k
What is the third derivative of 192*q**2 + 0*q**3 - 184*q**2 - 4*q**3 wrt q?
-24
Let d(a) = 3*a**3 + a**2 - 3. Let z be 13/5 - 2/(-5). Let i(y) = -y**4 - y**3 - y**2 + 1. Let r(v) = z*i(v) + d(v). What is the third derivative of r(o) wrt o?
-72*o
Let w(p) be the second derivative of 5*p + 0*p**3 + 0*p**4 + 0 - 1/6*p**6 + p**2 + 0*p**5. What is the first derivative of w(k) wrt k?
-20*k**3
Let g(n) be the second derivative of -n**3 - 7*n**2/2 + 18*n. What is the derivative of g(w) wrt w?
-6
Let w(m) = -38*m + 2. Let f(u) = u. Let z(x) = -10*f(x) - w(x). Differentiate z(n) wrt n.
28
Let f(a) = 23*a**3 - 10*a**2 + 5. Let o(k) = -12*k**3 + 5*k**2 - 3. Let h(b) = 3*f(b) + 5*o(b). What is the third derivative of h(m) wrt m?
54
Let h(x) = -5*x**3 - 4*x**2 - 4*x - 3. Let a(p) = 10*p**3 + 7*p**2 + 7*p + 7. Let d(k) = 4*a(k) + 7*h(k). What is the first derivative of d(t) wrt t?
15*t**2
Let l(h) be the first derivative of 31*h**5/5 + 16*h - 16. Differentiate l(c) with respect to c.
124*c**3
What is the second derivative of 14*p**3 + 7*p**2 + 2*p - 25*p - 7*p**2 wrt p?
84*p
Suppose x + 0*j + 19 = -4*j, 4*j = -20. What is the derivative of -6 + 3 - 2 - 4*r**3 + x wrt r?
-12*r**2
Let o(w) be the first derivative of 2*w**2 + 2*w - 6 + 5 - 5 + 3. What is the derivative of o(s) wrt s?
4
What is the third derivative of k**5 + 0*k**5 - 9*k + 9*k + k**2 - 11 + k**6 wrt k?
120*k**3 + 60*k**2
Let y(o) = 11*o**6 + 2*o**3 + 45*o**2 + 2. Let a(w) = 10*w**6 + 3*w**3 + 45*w**2 + 3. Let f(z) = 2*a(z) - 3*y(z). Find the third derivative of f(u) wrt u.
-1560*u**3
Suppose 0 = 5*w - 5*z - 40, w - 5*z = -z + 17. Suppose 0 = w*r + 4 - 14. What is the first derivative of -4 - 3*d**r + 2*d**2 + 2 wrt d?
-2*d
Let y(h) = 14*h**4 + 7*h**3 + 21*h - 7. Let a(m) = -m**4 - m**3 + 1. Let q(u) = 7*a(u) + y(u). Find the second derivative of q(f) wrt f.
84*f**2
Let x(l) be the second derivative of -3*l**5/20 + 10*l**3/3 - 23*l. What is the second derivative of x(h) wrt h?
-18*h
Suppose -3*i + 18 = 3*u + u, -4*i - u + 11 = 0. Find the third derivative of -i*l**3 - 2*l**2 + l**3 + 5*l**3 wrt l.
24
Let h be (-5)/((-5)/(-2)) + 2. Let z be (0 + h)/3 + 2. Find the third derivative of -x**z + 0*x**3 + 2*x**2 + x**3 wrt x.
6
Let t(r) = 5*r + 2. Let a be ((-6)/12)/(2/(-12)). Let h(s) = -14*s - 6. Let g(b) = a*h(b) + 8*t(b). Differentiate g(c) wrt c.
-2
Let h be ((-8)/5)/((-12)/30). Let r be (-6)/8 - (-11)/h. What is the derivative of -5*u + 3*u - 2*u - r wrt u?
-4
Let p(z) = -17*z**6 + 8*z**5 - 3*z**2 + 8*z. Let q(h) = -6*h**6 + 3*h**5 - h**2 + 3*h. Let t(o) = 3*p(o) - 8*q(o). What is the third derivative of t(n) wrt n?
-360*n**3
Find the second derivative of -15*u - 11*u**4 + 14*u**4 + 24*u + 15*u**4 wrt u.
216*u**2
Suppose 5*a + 3*q = 10*a - 19, 2*a + 2*q = -2. Let k = 7 + -4. What is the third derivative of v**k - v**a + 2*v**3 - 2*v**3 wrt v?
6
Let y(p) = -p**5 - 56*p + 2. Let t(a) = 2*a**5 + 168*a - 7. Let w(m) = 2*t(m) + 7*y(m). What is the second derivative of w(x) wrt x?
-60*x**3
Let v(g) = g**2. Let z(i) = -4*i - i**2 + 11 - 11. Let w(b) = 2*v(b) + z(b). What is the second derivative of w(m) wrt m?
2
Find the first derivative of 11*k**2 - 37 + 21 - 14 wrt k.
22*k
Find the third derivative of 0*l**3 + 5*l**2 + 14*l**3 - 6*l**3 wrt l.
48
Find the second derivative of -16 - 6*i - 2*i**3 + 7*i**3 + 16 wrt i.
30*i
Suppose v = t + 2*v + 3, -3*t + 5*v + 15 = 0. Suppose t = -4*u + 4 - 0. Differentiate -k**3 + 2*k + u - 2*k wrt k.
-3*k**2
Suppose 3*d = -0*w + 4*w - 7, 5*w - 4*d = 8. Let p = w + -2. What is the second derivative of 2*s + 5*s**3 - 2*s**3 - 7*s**2 + 7*s**p wrt s?
18*s
Let d = 4 - 1. What is the third derivative of -2*t**d + 6*t**2 - 4*t**2 + 2*t**3 - 2*t**3 wrt t?
-12
Find the third derivative of -1415*j + 1415*j - 15*j**5 - 5*j**2 wrt j.
-900*j**2
Let o(v) be the third derivative of 1/168*v**8 + 0*v**6 - 1/24*v**4 + 0 + 0*v**3 + 0*v**5 - 2*v**2 + 0*v**7 + 0*v. What is the second derivative of o(d) wrt d?
40*d**3
Let t(x) be the third derivative of -x**7/10 + 17*x**4/24 + 17*x**2. What is the second derivative of t(f) wrt f?
-252*f**2
Let z(i) = i**4 + 20. Let m(x) = -5. Let h(l) = -3. Let k(j) = -5*h(j) + 2*m(j). Let d(b) = -9*k(b) + 2*z(b). What is the first derivative of d(w) wrt w?
8*w**3
Let m(w) be the third derivative of w**10/37800 - w**6/720 - w**5/60 - w**2. Let x(d) be the third derivative of m(d). What is the derivative of x(t) wrt t?
16*t**3
What is the first derivative of -7*l**2 - 11 + 2 - 5*l**2 + 4*l**2 wrt l?
-16*l
Let s(y) be the third derivative of 0*y**7 + 2*y**2 + 0*y**3 + 0*y**5 + 0 - 1/336*y**8 + 0*y - 1/12*y**4 + 0*y**6. Find the second derivative of s(m) wrt m.
-20*m**3
Let t = 31 - 27. Let v(w) be the third derivative of 3*w**2 + 1/30*w**5 - 1/6*w**3 + 0*w**t + 0 + 0*w. Differentiate v(r) wrt r.
4*r
Let w(f) = -9*f**2 + 18*f. Let i(v) = v**2 + v. Let c(r) = 4*i(r) + w(r). Find the second derivative of c(o) wrt o.
-10
Let b(x) be the third derivative of 0 + 0*x + 0*x**3 + 1/24*x**4 + 0*x**5 + 2*x**2 + 0*x**6 - 2/105*x**7. What is the second derivative of b(d) wrt d?
-48*d**2
Let u(y) = -y**2 - 9*y + 4. Let h be u(-