 2 - 2. Suppose v*r + 90 = 5*r. What is the second derivative of -j + r + 3*j**2 - 18 wrt j?
6
Let z(v) be the second derivative of -v**5/12 + v**3/3 + 5*v**2/2 - 4*v. Let t(k) be the first derivative of z(k). Differentiate t(a) wrt a.
-10*a
Let j(h) = 3*h**2 + 7*h + 6. Let g(v) = 5*v**2 + 13*v + 11. Let i(m) = -6*g(m) + 11*j(m). Find the second derivative of i(b) wrt b.
6
Suppose 2*c - 27 = -c. Differentiate 2 + c + 0 + 4*t - 7*t wrt t.
-3
Let o(c) be the second derivative of -5/12*c**4 + 0*c**3 - 4*c + 2*c**2 + 0. Differentiate o(b) wrt b.
-10*b
Suppose 2*h - 4*h + 4 = 0. Suppose h*c + 0*c - 6 = 0. Differentiate q**3 - c + 3 + 1 with respect to q.
3*q**2
Let f(x) be the third derivative of x**7/21 + x**5/30 + 7*x**2. Find the third derivative of f(a) wrt a.
240*a
Suppose 2*s = 3*s. Find the first derivative of s*y + 5*y + y - 3*y + 2 wrt y.
3
Let n(o) be the second derivative of -o**5/10 - 17*o**4/6 - 49*o**3/6 + 5*o - 2. Find the second derivative of n(f) wrt f.
-12*f - 68
Let p(j) be the third derivative of 0 + 0*j**7 + 1/112*j**8 + 0*j**3 + 0*j + 0*j**6 + 0*j**4 - 1/20*j**5 - j**2. Find the third derivative of p(b) wrt b.
180*b**2
Let r be (-34433)/(-49) - (-6)/21. What is the third derivative of 3*h**3 + 9*h**2 + 703*h - r*h wrt h?
18
Let k(o) = -21*o**4 - 3*o**2 - 3*o + 34. Let d(w) = 21*w**4 + 4*w**2 + 4*w - 35. Let i(h) = -3*d(h) - 4*k(h). What is the first derivative of i(r) wrt r?
84*r**3
Let i(x) be the third derivative of -x**4/24 + x**3/3 - 6*x**2. Find the first derivative of i(l) wrt l.
-1
Let s(a) = 5*a**2 - 1. Let z be s(-1). Let b be 6/z*(-2 - -4). What is the derivative of -3*j - 2 + 0*j + 1 + b wrt j?
-3
Let i(q) be the second derivative of 0 + 1/6*q**4 + 2*q + 0*q**3 - 1/2*q**2. What is the derivative of i(u) wrt u?
4*u
Let v(j) be the third derivative of j**6/30 - j**5/60 + 5*j**4/6 + j**3/6 - 10*j**2 - 2. What is the second derivative of v(d) wrt d?
24*d - 2
Let u(o) be the first derivative of o**6/10 - o**4/4 + 2*o + 2. Let c(f) be the first derivative of u(f). Find the third derivative of c(h) wrt h.
72*h
Suppose -2*x - 15 = -3*z, 2*x - 8 - 1 = -5*z. Find the second derivative of -c + 2*c**5 - 5*c**4 + 5*c**4 + z*c wrt c.
40*c**3
Let u(h) = -h**2 - 4*h. Let j be u(-3). Differentiate -6*x**3 - 13*x**2 + 13*x**2 + j - 6 wrt x.
-18*x**2
Let s(a) be the second derivative of 5*a**7/42 - a**3/3 - 8*a. What is the second derivative of s(q) wrt q?
100*q**3
Find the second derivative of -16*t - 86 - 25*t**2 + 86 wrt t.
-50
Suppose -4*n = n. Let r(i) be the second derivative of 1/30*i**6 + n*i**4 + i + 0*i**3 - 1/2*i**2 + 0*i**5 + 0. Differentiate r(k) wrt k.
4*k**3
Suppose 3*t - 2 = t. Let k(v) = v**3 + v - 1. Let x(f) = -3*f**3 - 5*f + 4. Let w(a) = t*x(a) + 5*k(a). Find the first derivative of w(b) wrt b.
6*b**2
Let f(a) be the second derivative of 0*a**5 + 0*a**4 + 0*a**2 - 1/14*a**7 + 5*a + 0*a**6 + 0 - 1/2*a**3. Find the second derivative of f(n) wrt n.
-60*n**3
Differentiate 2*k**4 + 3 + 4*k**4 - 3*k**4 - 4 wrt k.
12*k**3
Let p(r) be the third derivative of -r**6/15 - 3*r**5/20 - 10*r**2. Find the third derivative of p(j) wrt j.
-48
Suppose -c + 1 = -0. Let y = c - 0. Find the first derivative of y - v**4 - v**2 + v**2 wrt v.
-4*v**3
Suppose 2*o - 4 = 2. What is the second derivative of -4*u**5 + 5*u - 3*u + u**5 - o*u wrt u?
-60*u**3
Let d = -10 + 4. Let h = -4 - d. Differentiate 0*z - 1 + z**h + 0*z with respect to z.
2*z
Let l(v) be the second derivative of v**3/2 - v**2/2 - 5*v. What is the derivative of l(d) wrt d?
3
What is the third derivative of z**3 + 2*z**3 - 3*z**3 - 2*z**6 - 10*z**2 wrt z?
-240*z**3
What is the second derivative of -221*z**2 + 221*z**2 + 6*z**3 - 18*z wrt z?
36*z
Let z(v) = -v**3 - 2*v**2 - 2*v - 2. Let d be z(-3). What is the second derivative of -3*x**4 - 10*x + d*x - 6*x wrt x?
-36*x**2
Find the third derivative of 3*p**2 + 10*p**2 - 19*p**5 + 7*p**5 wrt p.
-720*p**2
Let p(b) be the second derivative of 2*b**7/21 - 5*b**3/6 + 6*b. What is the second derivative of p(y) wrt y?
80*y**3
Let l(k) = -6. Let v(s) = s + 30. Let j(m) = -11*l(m) - 2*v(m). Differentiate j(r) with respect to r.
-2
Let w = -4 - -8. Find the first derivative of -1 - 4*m**4 + 3 + 3*m**w - 4 wrt m.
-4*m**3
Suppose 0*k = 5*k - 15. Find the third derivative of -g**2 + g**k + 3 - 3 wrt g.
6
Let t(h) be the first derivative of -h**4 + 2 + 2/3*h**3 + 0*h + 0*h**2. What is the third derivative of t(x) wrt x?
-24
Let v = -7 - -12. Suppose -3 = -v*s + 7. Find the third derivative of -2*l**s - l**2 + 0*l**2 + l**5 + 3*l**5 wrt l.
240*l**2
Let f(b) be the third derivative of 2*b**7/105 - 3*b**5/20 + b**2. What is the third derivative of f(q) wrt q?
96*q
Let u(m) = -11*m**4 - m**3 + m**2 - m + 8. Let j(x) = x**4 + x**3 - x**2 + x - 1. Suppose 14*o = 9*o + 5. Let h(g) = o*j(g) + u(g). Differentiate h(k) wrt k.
-40*k**3
Let q(z) = 2*z**3 - 7*z + 10. Let u(l) = l**3 - 4*l + 5. Let n(v) = -3*q(v) + 5*u(v). Let w(f) be the first derivative of n(f). Differentiate w(i) wrt i.
-6*i
Let d = -7 + 10. Suppose -5 = -4*m + d*r, r + 3 = 3*m - 2*r. Differentiate s**2 - m + 3 + 0 wrt s.
2*s
Differentiate 4 - 2*y**4 + 1 - 10*y**4 wrt y.
-48*y**3
Let k(n) = 20*n**3 + 3*n**2 + 6*n + 3. Let g(m) = 60*m**3 + 10*m**2 + 18*m + 10. Let z(a) = 3*g(a) - 10*k(a). Find the second derivative of z(c) wrt c.
-120*c
Let t(u) = 10*u**4 - 3*u**2 + 5*u + 3. Let o(y) = -21*y**4 + 7*y**2 - 10*y - 7. Let c(s) = 3*o(s) + 7*t(s). Find the second derivative of c(h) wrt h.
84*h**2
Let n(t) = -14*t + 10. Let r(m) = -57*m + 41. Let k(f) = -9*n(f) + 2*r(f). Find the first derivative of k(p) wrt p.
12
Let v(z) be the second derivative of -z**9/3024 + z**6/120 - z**3/3 + z. Let x(j) be the second derivative of v(j). Find the third derivative of x(n) wrt n.
-60*n**2
Let v(y) = y - 1. Let c be v(2). Let h = c + 1. What is the third derivative of 5 - 5 + k**h + k**3 wrt k?
6
Let v(i) = 4*i + 1. Let l(d) = -2*d - 5*d - 5*d - 2 + 3*d. Let u(g) = -4*l(g) - 10*v(g). What is the first derivative of u(c) wrt c?
-4
Suppose -r - 2 = -k, 2*r - 3*k + 16 = 4*r. What is the third derivative of 5*l**r - 7*l**3 + 0*l + 0*l + l**2 wrt l?
-42
Let c(k) be the first derivative of -31*k**5/5 + 28*k**3/3 + 34. Find the third derivative of c(d) wrt d.
-744*d
Let b(t) be the third derivative of -11*t**5/60 - 7*t**3/6 + 14*t**2. What is the first derivative of b(i) wrt i?
-22*i
Let u(a) = a**2 - 5*a + 0*a - 1 + 2*a. Let d(b) = 0 + 2*b + 1 - 3*b**2 + 2*b**2. Let h(p) = -3*d(p) - 2*u(p). What is the first derivative of h(r) wrt r?
2*r
Let p(s) = 38*s**3 + 4*s. Let o(t) = 13*t**3 + t. Let c(a) = -10*o(a) + 3*p(a). What is the second derivative of c(w) wrt w?
-96*w
Let w(k) be the second derivative of -7*k**6/120 - k**4/3 + 2*k**2 - 3*k. Let z(t) be the first derivative of w(t). What is the second derivative of z(m) wrt m?
-42*m
Let c = 22 + -2. Let a be 10/(-4)*(-16)/c. Find the second derivative of -2*y - 3*y**2 + 3*y**5 + 3*y**a wrt y.
60*y**3
Let n = 12 - 8. Let z(m) be the third derivative of 0 + 2*m**2 + 0*m - 1/3*m**3 - 1/30*m**5 + 0*m**n. Find the first derivative of z(b) wrt b.
-4*b
Let f be (-2)/(-4)*(7 - -19). Find the third derivative of -g**2 + 13 - f + 2*g**5 wrt g.
120*g**2
What is the third derivative of 5*m**2 - m**4 + 9*m**2 - 2*m**4 - m**4 wrt m?
-96*m
Suppose 0 = -0*r + r - 1. Find the first derivative of r - 2*k**2 - 4 + 3*k**2 wrt k.
2*k
Let b(x) be the third derivative of -3*x**6/10 - 3*x**4/4 - 27*x**2. What is the second derivative of b(i) wrt i?
-216*i
Let m(b) = 15*b**2 + 2*b - 15. Let t(p) = 195*p**2 + 27*p - 195. Let i(w) = 27*m(w) - 2*t(w). Differentiate i(f) with respect to f.
30*f
Let h(p) be the first derivative of -17*p**5/5 - 6*p**3 - 18. What is the third derivative of h(t) wrt t?
-408*t
Let j(k) = -12*k**5 - 3*k**3 - 14*k**2 - 3. Let l(s) = -24*s**5 - 5*s**3 - 28*s**2 - 5. Let r(i) = 5*j(i) - 3*l(i). Find the third derivative of r(p) wrt p.
720*p**2
Let d(a) = 2*a**2 - 1. Let g be d(-2). Suppose -5*k - g = -27. What is the third derivative of -q**3 + 2*q**2 - k*q**3 + 2*q**3 wrt q?
-18
Let i(r) = 3*r**3 - 3*r**2 - 2*r - 3. Let q(o) = -o**5 - o**3 + o**2 + o + 1. Let c(k) = -i(k) - 3*q(k). Find the second derivative of c(a) wrt a.
60*a**3
Let l(c) be the third derivat