tive of -p + 12 + 4*b**2 - 3*b**4 wrt b.
-72*b
Let a(b) be the second derivative of b**7/120 - b**4/6 - 4*b**3/3 + 2*b. Let x(g) be the second derivative of a(g). Differentiate x(j) with respect to j.
21*j**2
Let g(t) = -4*t**4 - 3*t**3 - 15*t - 3. Let h(m) = 12*m**4 + 8*m**3 + 45*m + 8. Let k(f) = 8*g(f) + 3*h(f). What is the second derivative of k(u) wrt u?
48*u**2
Let g(f) be the first derivative of -f**7/840 - f**5/40 + f**3 + 2. Let b(w) be the third derivative of g(w). What is the second derivative of b(x) wrt x?
-6*x
Let d(a) = 2*a**4 - 7*a**2 - 6. Let l = 14 + -7. Let g(z) = -z**4 + 3*z**2 + 3. Let n(p) = l*g(p) + 3*d(p). Differentiate n(q) with respect to q.
-4*q**3
Let s(l) = -2*l**3 + 4*l**2 - 48*l. Let k(g) = -g**5 - g**2 - g. Let h(t) = -4*k(t) - s(t). Find the second derivative of h(r) wrt r.
80*r**3 + 12*r
Let f(w) be the first derivative of -w**5/15 + w**3/2 - 2*w**2 - 2. Let h(r) be the second derivative of f(r). What is the first derivative of h(b) wrt b?
-8*b
What is the third derivative of -27*m**5 - 11*m**2 + 3 - 3 + 35*m**2 wrt m?
-1620*m**2
Let t(m) be the third derivative of 3*m**8/112 + m**5/30 + 2*m**2. What is the third derivative of t(x) wrt x?
540*x**2
Find the second derivative of -3*y + 4*y - 4*y**3 + 5*y wrt y.
-24*y
Let l(i) be the third derivative of 19*i**6/120 - i**4/24 - 11*i**3/2 - 2*i**2 + 2. Differentiate l(g) wrt g.
57*g**2 - 1
Let b(q) be the first derivative of -6*q**3 - 11*q - 6. What is the first derivative of b(x) wrt x?
-36*x
What is the third derivative of 4*d**4 - 2*d**4 + d**2 + 15*d**2 + 7*d**4 wrt d?
216*d
Let q = 3 - 1. What is the third derivative of 3*r**6 + r**q - 2*r**3 + 2*r**3 - 4*r**2 wrt r?
360*r**3
Let b(c) be the first derivative of -5*c**9/504 + c**5/20 - 5*c**2/2 - 2. Let s(d) be the second derivative of b(d). Find the third derivative of s(q) wrt q.
-600*q**3
Let r(n) = -12*n**3 + 3*n + 9. Let y(k) = -k**3 + k. Let p(f) = r(f) - 3*y(f). What is the first derivative of p(o) wrt o?
-27*o**2
Let u(i) be the first derivative of -11*i**3/3 - 9*i + 13. Find the first derivative of u(f) wrt f.
-22*f
Let l = -23 + 23. Suppose 0 = -4*p + 5*p. What is the third derivative of p*k**6 + l*k**6 + k**6 + k**2 wrt k?
120*k**3
Find the third derivative of 5*a**2 + 6*a**6 - 3*a**5 + 25*a**2 + 3*a**5 wrt a.
720*a**3
Let n(g) = 3*g**2 + 3*g - 1. Let f(i) = -5*i. Let x(v) = -14*v. Let l(j) = 17*f(j) - 6*x(j). Let t(w) = -3*l(w) - n(w). Find the first derivative of t(r) wrt r.
-6*r
Let r(s) be the first derivative of 2*s**5/5 - 64*s**3/3 - 24. What is the third derivative of r(m) wrt m?
48*m
Let g(a) be the first derivative of -1/3*a**3 + 1 + 0*a**2 + 2*a. What is the first derivative of g(x) wrt x?
-2*x
Let o(m) = 5*m**2 + 23*m. Let n(t) = -6*t**2 - 22*t. Let r(v) = -4*n(v) - 3*o(v). Find the second derivative of r(q) wrt q.
18
Let l(y) be the second derivative of y**7/42 + 2*y**6/15 - 5*y**3/3 - y**2/2 + 44*y. Find the second derivative of l(o) wrt o.
20*o**3 + 48*o**2
Suppose -15 = g - 6*g. Find the second derivative of -g*q**4 + q**4 + 6*q - 5*q + q**4 wrt q.
-12*q**2
Let g be (9/(-3) + 5)/4. Let s(o) be the first derivative of 0*o + 1 - o**2 + g*o**4 + 0*o**3. What is the second derivative of s(w) wrt w?
12*w
Let a(u) be the second derivative of -17*u**5/20 + u**4/3 - 25*u. Find the third derivative of a(r) wrt r.
-102
Suppose 0 = 3*i - 13 - 14. Find the first derivative of -i - 4*v + 2 + 3*v + 2*v wrt v.
1
Differentiate 4 + 5 + 0*r**4 + 10*r**4 - 5 wrt r.
40*r**3
Let u(w) be the first derivative of 0*w + 3 + 1/5*w**5 + 0*w**4 + 0*w**2 - 1/3*w**3. What is the third derivative of u(l) wrt l?
24*l
Let o = 6 + -4. What is the second derivative of -6*f**o + 6*f**2 - 2*f**3 - 2*f wrt f?
-12*f
Suppose 6*o - 4*h - 12 = 3*o, 5*h = o - 15. What is the third derivative of 7*z**3 + 7*z**2 + 2 + o - 2 wrt z?
42
Let f(s) be the third derivative of -13*s**4/6 - 26*s**3/3 - 2*s**2 + s. What is the first derivative of f(v) wrt v?
-52
Suppose -4 = k - 5*k. Suppose 4*b - k = 3. What is the derivative of 2*w**2 + 0*w**2 + 0*w**2 - b wrt w?
4*w
Let j(b) = -2*b**3 + 2*b**2 + 5. Suppose 2*z = 3*z + 5. Let f(g) = 3*g**3 - 5*g**2 - 11. Let a(i) = z*j(i) - 2*f(i). What is the derivative of a(m) wrt m?
12*m**2
Let l = 5 + -9. Let x be 4 + l + 2 + 0. What is the third derivative of 6*o**x - 4*o**2 + 11*o**3 - 11*o**3 + 2*o**5 wrt o?
120*o**2
Let q(n) be the third derivative of n**8/48 - 9*n**5/10 + 47*n**2. Find the third derivative of q(o) wrt o.
420*o**2
Let o(l) be the second derivative of l + 0 - 3/2*l**2 + 0*l**3 + 1/6*l**4. Differentiate o(d) with respect to d.
4*d
Let c be (-4)/(-14) + 19/7. Suppose 11*z = -1 + 1. Find the third derivative of h**c + z*h**3 + 3*h**2 - 4*h**3 wrt h.
-18
Let v(p) = -12*p**3 + 10*p. Let c(s) = -36*s**3 + 30*s. Let j(r) = -3*c(r) + 8*v(r). What is the second derivative of j(k) wrt k?
72*k
Let l(r) = -6*r**5 + 4*r**4 - 28*r**2 - 4. Let f(v) = 6*v**5 - 3*v**4 + 28*v**2 + 3. Let p(z) = -4*f(z) - 3*l(z). What is the third derivative of p(t) wrt t?
-360*t**2
Let u(a) be the first derivative of a**4/4 - 2*a**3 + 2*a + 2. Let g be u(6). What is the third derivative of -9*p**2 + p**g - 2*p**5 + 0*p**5 + 6*p**2 wrt p?
-120*p**2
Let t(y) be the third derivative of -y**6/30 - y**4/2 + 16*y**2. Find the second derivative of t(r) wrt r.
-24*r
Let w = 5 + -1. Suppose 3*b = w + 2. Find the third derivative of -4 - 3*f**2 - 3*f**5 + 4 + f**b wrt f.
-180*f**2
Let y = -26 + 30. Let v(p) be the third derivative of 0 + 1/60*p**5 - 1/8*p**y - 3*p**2 + 0*p**3 + 0*p. What is the second derivative of v(x) wrt x?
2
Let p(z) be the third derivative of -z**4/4 + z**3/6 + 2*z**2. Let u(s) = 13*s - 3. Let w(q) = -7*p(q) - 3*u(q). What is the first derivative of w(m) wrt m?
3
Suppose 0 = 3*o + l - 6, o + 0*l = -l. Suppose -2*z = -z - o. Differentiate b**3 + 3 + 2*b**z - 4 with respect to b.
9*b**2
Differentiate 33 - 21 - 20 - 10*g**4 with respect to g.
-40*g**3
Let t(u) = 5*u**2 - 14*u. Let i(p) = -2*p**2 + 7*p. Let g(d) = 11*i(d) + 6*t(d). What is the second derivative of g(o) wrt o?
16
Let t(r) be the first derivative of 0*r - r**3 + 1/4*r**4 + 0*r**2 - 3. What is the third derivative of t(a) wrt a?
6
Let x(q) be the third derivative of -q**9/20160 - 7*q**6/720 + q**5/12 + 5*q**2. Let h(k) be the third derivative of x(k). Differentiate h(s) wrt s.
-9*s**2
Let m(s) = 5*s**3 - 25*s + 2. Let f(q) = 15*q**3 - 76*q + 7. Let l(v) = -2*f(v) + 7*m(v). Find the second derivative of l(j) wrt j.
30*j
Let n(j) be the first derivative of j**6/2 + j**5/5 + j**3/3 + 9*j**2/2 - 30. Find the third derivative of n(a) wrt a.
180*a**2 + 24*a
Let z(f) = -8*f. Let a(b) = b. Let v(i) = 12*a(i) + 2*z(i). Let w(q) = 7*q - 1. Let r(y) = 5*v(y) + 3*w(y). Differentiate r(k) wrt k.
1
Suppose 0 = -2*h, -3*h + 40 = 5*a - 0*h. What is the second derivative of -2*i - 8*i**5 - a*i + 4*i + 4*i wrt i?
-160*i**3
Let p(d) = 10*d**3 + 7*d**2 + 2. Let s(y) = -y**2 + 1. Let l(q) = p(q) - 2*s(q). Find the third derivative of l(h) wrt h.
60
Let i(k) = 9*k**4 + 3*k**3 + 3*k - 9. Let d(q) = 17*q**4 + 5*q**3 + 5*q - 17. Let g(o) = -3*d(o) + 5*i(o). Differentiate g(r) wrt r.
-24*r**3
What is the second derivative of 178*k**3 - 178*k**3 - 11*k**4 + 51*k**4 + 21*k wrt k?
480*k**2
Let s(x) = -x**2 - 3*x + 11. Let f be s(-4). Let v be 2/2*1*2. What is the third derivative of m**2 + f*m**4 + 4*m**2 - 2*m**v - 3*m**4 wrt m?
96*m
Let b(d) be the second derivative of 31*d**7/42 - 35*d**4/12 + 5*d. What is the third derivative of b(x) wrt x?
1860*x**2
Let q(d) = 20*d**3 + 11*d**2 + 11*d - 26. Let m(l) = -4*l**3 - 2*l**2 - 2*l + 5. Let v(o) = -11*m(o) - 2*q(o). Find the first derivative of v(p) wrt p.
12*p**2
What is the third derivative of -5*u**4 + 6*u**4 - 5*u**2 + u**4 wrt u?
48*u
What is the first derivative of t**4 - 7*t**4 - 8 + 0*t**4 wrt t?
-24*t**3
Let c = -7 - -7. What is the first derivative of -j**2 + 4 + c*j**2 + 2*j**2 wrt j?
2*j
Let a(f) = -1 + 5 + 10*f**2 - 2*f**3 + 4*f**3 - 6. Let j(d) be the first derivative of -d**3/3 + 1. Let i(k) = -a(k) - 10*j(k). Differentiate i(v) wrt v.
-6*v**2
Let o(v) be the third derivative of v**8/420 + v**4/4 + v**3/2 - 5*v**2. Let s(a) be the first derivative of o(a). Find the first derivative of s(t) wrt t.
16*t**3
