Let p(l) = l**3 - 2*l**2 + 2*l - 3. Let f be p(2). What is the first derivative of v + a - 4 + f wrt a?
1
Let y(p) be the first derivative of -13*p**3/3 + p**2/2 + 14. What is the second derivative of y(d) wrt d?
-26
Let v(o) = -o**3 - o**2 - o - 1. Let u(z) = -z**3 - 3*z**2 - z - 3. Let l(x) = -2*u(x) + 6*v(x). Find the second derivative of l(g) wrt g.
-24*g
Let u(k) = -k**3 - 5*k - 9. Let q(i) = 3*i + 4. Let j(l) = -9*q(l) - 4*u(l). Find the second derivative of j(z) wrt z.
24*z
Let g(d) be the second derivative of -d**8/1680 - d**6/72 + 2*d**3/3 + d. Let f(t) be the second derivative of g(t). What is the third derivative of f(k) wrt k?
-24*k
Let x(z) = -6*z**4 - 8*z**2 - 4. Let v(l) = 6*l**4 + 8*l**2 + 5. Let j(f) = -4*v(f) - 5*x(f). What is the third derivative of j(y) wrt y?
144*y
Suppose -2*n - 8 = -6*n. Find the third derivative of -v**2 - 4*v**2 + 9*v**6 + v**n - 3*v**6 wrt v.
720*v**3
Let v be (-4 - -2 - 0) + 5. Suppose -2*s - 2 = -v*s. What is the second derivative of 2*c - c**4 + s*c**4 + 0*c wrt c?
12*c**2
Let f(g) be the second derivative of g**4/12 + g**3/2 + 25*g. What is the second derivative of f(h) wrt h?
2
Let o(d) be the third derivative of -d**6/180 + d**5/120 - d**4/12 + d**2. Let s(u) be the second derivative of o(u). Differentiate s(t) with respect to t.
-4
Let r = -6 - -8. Let a(m) be the first derivative of -m**3 + 0*m**6 + 0*m**4 + 0*m**5 + 3/7*m**7 + 0*m + 1 + 0*m**r. What is the third derivative of a(q) wrt q?
360*q**3
Let s(m) be the first derivative of -1/2*m**2 + m - 2. What is the derivative of s(d) wrt d?
-1
Let d = 7 - 9. Let a(p) = p + 2. Let k be a(d). Find the first derivative of -2 - 4*n**3 + k + 0 + 1 wrt n.
-12*n**2
What is the derivative of -6*j**2 + 6*j**2 + 1 + 3 + 5*j**2 wrt j?
10*j
Let w(f) = -f**2 + f - 1. Let p(d) = -10*d**2 + 47*d - 4. Let s(y) = p(y) - 4*w(y). What is the second derivative of s(x) wrt x?
-12
Let g(z) = -5*z**4 + 5*z. Let y(v) = -15*v**4 + 15*v. Let l be 11/(-3) - (-4)/6. Let m(j) = l*y(j) + 10*g(j). Find the second derivative of m(s) wrt s.
-60*s**2
Let n be (-25)/(-24) - (-1 - -2). Let h(a) be the third derivative of 0 - 1/30*a**5 - n*a**4 + 0*a**3 - a**2 + 0*a. What is the second derivative of h(c) wrt c?
-4
Let y be 6/2 + (-2)/2. Let k(i) be the first derivative of 0*i + 3 + y*i**2 - 4/3*i**3. Find the second derivative of k(p) wrt p.
-8
Let z = -4 - -7. Suppose -v + 12 = 4*c, 2*v = 2*c - z*c + 10. What is the third derivative of -3*y**c + 4*y**4 - 4*y**2 + 9*y**2 wrt y?
96*y
Let a(m) = -4*m**3 - m - 6*m**3 - 2*m**2 + 4*m**3. Let r be a(-1). What is the third derivative of -5 + c**2 + r + 2*c**5 wrt c?
120*c**2
Let h = -6 - -10. What is the second derivative of -6*r**h + 2*r**4 + 9*r**4 + 7*r + 2*r**4 wrt r?
84*r**2
Let a(o) be the second derivative of -11*o**6/30 + 2*o**4/3 - 21*o. Find the third derivative of a(h) wrt h.
-264*h
Differentiate -9 - 3*k**4 - 7 + 17 + 0*k**4 with respect to k.
-12*k**3
Let i(k) be the first derivative of k**7/84 - k**4/6 - 8*k**3/3 - 2. Let j(f) be the third derivative of i(f). What is the derivative of j(l) wrt l?
30*l**2
Let c(n) be the second derivative of -n**6/360 - n**4/6 + n**3/2 - 2*n. Let r(o) be the second derivative of c(o). What is the first derivative of r(b) wrt b?
-2*b
Let b(o) be the second derivative of -o**7/21 + 17*o**3/6 + 3*o + 19. What is the second derivative of b(s) wrt s?
-40*s**3
Let u(q) be the third derivative of 7*q**4/12 + q**3/6 - 4*q**2. Find the first derivative of u(f) wrt f.
14
Let p(s) = -5*s**3 + 3*s**2 - 2*s. Let j(o) = 10*o**3 - 5*o**2 + 5*o. Let n(y) = -2*j(y) - 5*p(y). Find the third derivative of n(u) wrt u.
30
Let m(s) be the second derivative of -11*s**5/20 - 5*s**3/3 + 26*s. Find the second derivative of m(p) wrt p.
-66*p
Let b(z) be the second derivative of z**10/15120 + z**6/360 - z**4/12 + z. Let y(t) be the third derivative of b(t). Find the second derivative of y(n) wrt n.
40*n**3
Let w(r) be the third derivative of 2*r**6/15 - 17*r**5/60 + 8*r**2. What is the third derivative of w(b) wrt b?
96
Let i be 28/3 - 4/(-6). Suppose 0 = -4*t + 2*a + i, -3*t - 3*a = -5*t + 3. What is the third derivative of -4*n**3 + 3*n**t - 2*n**3 + 2*n**2 wrt n?
-18
Let a = 16 - 12. Let o(n) be the second derivative of 0*n**a + 0*n**3 + 0 + n**2 + 2*n - 1/10*n**5. Find the first derivative of o(k) wrt k.
-6*k**2
Let y = 5 - 3. Find the second derivative of 8*i**y - 5*i - i**2 + 10*i wrt i.
14
Let p(l) = -12*l + 3. Let m(s) = -24*s + 7. Let k(n) = -2*m(n) + 5*p(n). Differentiate k(o) with respect to o.
-12
Suppose -c - 4 = -3*c. Find the second derivative of -2*w + 3*w**2 - 3*w**2 - w**2 - 4*w**c wrt w.
-10
Let l(t) be the second derivative of -2*t - 1/42*t**7 + 0 + 1/2*t**3 + 0*t**2 + 0*t**4 + 0*t**5 + 0*t**6. What is the second derivative of l(a) wrt a?
-20*a**3
Let q = 3 - 1. Suppose 0*u + 8 = 4*u. Find the third derivative of -2*n**u - n**q + 5*n**2 - 2*n**3 wrt n.
-12
Find the third derivative of 41*p**4 - 6*p**2 + 3*p**6 - 41*p**4 wrt p.
360*p**3
Find the second derivative of 6*r**3 - 7*r - 2*r**4 - 9*r**3 + 3*r**3 wrt r.
-24*r**2
Let n(l) be the first derivative of -8*l**6 + l**2 - 8*l - 46. Find the second derivative of n(a) wrt a.
-960*a**3
What is the derivative of 3 - 3 - 9*p**4 + 1 - 12 wrt p?
-36*p**3
Let j(g) = g**4 + g**3 + g**2. Suppose 4*h - 10 = -26. Let x(w) = -w**4 - 4*w**3 - 5*w**2. Let d(n) = h*j(n) - x(n). Find the third derivative of d(c) wrt c.
-72*c
Let s(g) be the first derivative of -3*g**4/4 - 11*g - 11. Differentiate s(u) wrt u.
-9*u**2
Let u(r) = -5*r**6 - 3*r**4 + 7*r**2 + 3*r + 3. Let s(i) = -i**4 + i**2 + i + 1. Let a(g) = -3*s(g) + u(g). Find the third derivative of a(j) wrt j.
-600*j**3
Let f(y) = -y**3 + 9*y**2 + y - 5. Let p be (-6)/21 + (-130)/(-14). Let b be f(p). Differentiate -u**3 - 3*u + 3*u + b*u**3 - 3 wrt u.
9*u**2
Let o(u) be the first derivative of 0*u**4 - 3 + u**3 + 0*u**5 - 1/7*u**7 + 0*u**6 + 0*u**2 + 0*u. What is the third derivative of o(v) wrt v?
-120*v**3
Suppose 0 = 4*i - 3*i - 2. Find the third derivative of j**2 - j**5 - 2*j**i - 2*j**5 wrt j.
-180*j**2
Let l(a) be the second derivative of -5*a**7/21 + a**4/4 + 7*a. Find the third derivative of l(r) wrt r.
-600*r**2
What is the second derivative of -60 + 27 + 14*q**5 + 7*q + 33 wrt q?
280*q**3
Let k(c) be the second derivative of c**8/56 + 7*c**4/12 - 9*c. Find the third derivative of k(x) wrt x.
120*x**3
Let h(g) = 40*g**3 - 5*g**2 + 11*g. Let c(u) = -10*u**3 + u**2 - 3*u. Let l(m) = -22*c(m) - 6*h(m). What is the third derivative of l(p) wrt p?
-120
Let c = 9 + -7. Find the second derivative of -1 + 3 - c + w - 3*w**3 wrt w.
-18*w
Let q(f) = 10*f**2 + 7*f - 17. Let i(p) = -9*p**2 - 6*p + 16. Let m(u) = -7*i(u) - 6*q(u). What is the derivative of m(r) wrt r?
6*r
What is the second derivative of 6*o**2 - 18*o**2 - 14*o**2 - 38*o wrt o?
-52
Let r(v) be the third derivative of v**7/30 - 7*v**3 - 44*v**2. Differentiate r(a) wrt a.
28*a**3
Let l = 3 + 0. Let s = 3 - l. What is the second derivative of 2*k + 2*k**3 - k + s*k wrt k?
12*k
Let n = 53/215 - 2/43. Let a(l) be the first derivative of l**2 + 2 + n*l**5 + 0*l**3 + 0*l**4 + 0*l. What is the second derivative of a(z) wrt z?
12*z**2
Let u(g) be the second derivative of -1/6*g**3 + 0*g**2 + 4*g + 0 + 1/6*g**4. What is the second derivative of u(o) wrt o?
4
What is the third derivative of -19*m**3 + 8*m**3 - 5*m**2 + 3*m**3 wrt m?
-48
Differentiate 8 - 3*r - 19 + 8*r with respect to r.
5
Find the second derivative of -4*t - 2*t**2 - 3*t - 3*t**2 - t wrt t.
-10
Find the third derivative of 12*h**3 - 13*h**3 - 5*h**2 + 13*h**2 wrt h.
-6
Let u(k) be the first derivative of k**3 - 2*k**3 + 0*k - 8*k + 7. What is the derivative of u(w) wrt w?
-6*w
Let r be (-1)/1 - -17 - 0. Suppose -y = y + 3*f - r, 3*y + f = 24. What is the third derivative of j**5 - y*j**6 + 2*j**2 + 10*j**6 - j**5 wrt j?
240*j**3
Let l be (-8)/(-3) - (-2)/6. What is the third derivative of -5*c + c**2 + 2*c**5 + 2*c + l*c wrt c?
120*c**2
Let v(d) be the first derivative of -7*d**5/20 + d**3/6 + 4*d - 5. Let u(f) be the first derivative of v(f). What is the second derivative of u(g) wrt g?
-42*g
Let f(j) = -11*j**3 - 9. Let b be (-6)/21 + (-33)/7. Let c(d) = -5*d**3 - 4. Let t(i) = b*c(i) +