 b(n) = 10*n**4 - 2*n**2 - 23. Let y(f) = -20*f**4 + 5*f**2 + 45. Let l(j) = -5*b(j) - 2*y(j). Differentiate l(o) with respect to o.
-40*o**3
Let v(m) = 21*m**3 + 10*m + 9. Let p(i) = -11*i**3 - 5*i - 4. Let h(f) = -9*p(f) - 4*v(f). What is the second derivative of h(r) wrt r?
90*r
Let t(r) be the second derivative of 0 + 0*r**5 + 0*r**4 + 1/6*r**3 + 0*r**2 - 1/10*r**6 + 2*r. Find the second derivative of t(f) wrt f.
-36*f**2
Let k be ((-72)/(-63))/(4/14). Find the third derivative of 12*p**2 - 13*p**2 + 2*p**k + 3*p - 3*p wrt p.
48*p
What is the derivative of -12*r + 15 + 42 + 4*r - 15*r wrt r?
-23
Find the third derivative of 9*r**4 - 47*r**4 - 15*r**2 + 34*r**2 + 27*r**2 wrt r.
-912*r
Let i = 0 - -3. Suppose 4*r + 3 = -i*y, 0 = 2*r - y - 2*y - 21. Find the second derivative of o + 2*o - 5*o + 0*o**5 + r*o**5 wrt o.
60*o**3
Find the third derivative of 390*c**2 - c**6 - 417*c**2 - 5*c**6 wrt c.
-720*c**3
Let p(f) = 11*f**4 + 5*f**3 + 9*f + 5. Let b(h) = -10*h**4 - 4*h**3 - 8*h - 4. Let r(x) = -5*b(x) - 4*p(x). What is the second derivative of r(m) wrt m?
72*m**2
What is the second derivative of -10*k**4 - 18*k**2 + 36*k**2 - 18*k**2 - 33*k wrt k?
-120*k**2
Let s(b) be the second derivative of -8*b**5/5 - b**4/12 - 33*b. What is the third derivative of s(t) wrt t?
-192
Let v = -3 - -6. Find the second derivative of a**4 + 4*a + 2*a**v - 3*a**3 + a**3 wrt a.
12*a**2
Let q(i) = -i**4 - i**3 + i**2 - i + 1. Let k(c) = 6*c**3 - 10*c**2 + 6*c - 6. Let b(j) = -k(j) - 6*q(j). Find the third derivative of b(a) wrt a.
144*a
Suppose -1 = 3*t - 7. Let p be (-1)/(-1*2/4). Differentiate -i**p - 2*i**2 + t + 4*i**2 with respect to i.
2*i
Let h(i) = 3*i - 3*i + i**2. Let n(z) = 2*z**3 - 2*z**2. Let t(x) = 3*h(x) + n(x). What is the third derivative of t(q) wrt q?
12
What is the third derivative of 67*a**4 - 67*a**4 - 13*a**2 - 13*a**6 wrt a?
-1560*a**3
Let g(o) be the second derivative of -o**3/6 + o**2/2 + o. Let r be g(-3). Find the second derivative of -r*a + 2*a**3 - 3*a + 6*a wrt a.
12*a
Let h(v) be the third derivative of v**5/20 - 5*v**3/6 - 6*v**2. Differentiate h(x) wrt x.
6*x
Let o(q) = q**4 - q**3 - q**2 + q + 1. Let s(i) = 11*i**4 - 2*i**3 + 23*i**2 + 2*i + 2. Let m(x) = 2*o(x) - s(x). Find the third derivative of m(h) wrt h.
-216*h
Let z(x) = -3*x**3 - 1. Let o be z(-1). Suppose 0 = -5*g - 4*j + 18, 6 = -0*g - o*g + 5*j. What is the derivative of 1 - q - g*q + q wrt q?
-2
Let i(f) = f**3 + f**2 - f + 1. Let z be i(1). Find the second derivative of 6*a - z - 3*a + 2 + 4*a**3 wrt a.
24*a
Find the second derivative of -28*y + y**3 - 12*y**3 + 30*y wrt y.
-66*y
Let f(x) = x**3 - x**2 - x. Let u(r) = 2*r**3 + 2*r**2 + 2*r + 8. Let w(v) = 2*f(v) + u(v). What is the derivative of w(g) wrt g?
12*g**2
Let b(i) be the first derivative of -i**2/2 + 6*i + 6. What is the first derivative of b(u) wrt u?
-1
Let t(p) = 30*p**3 - 34*p**2 + 3*p - 3. Let g(j) = 60*j**3 - 69*j**2 + 7*j - 7. Let w(d) = -3*g(d) + 7*t(d). Find the third derivative of w(v) wrt v.
180
Let q(g) be the first derivative of 0*g**4 - 2*g**2 + 0*g**3 - 3/5*g**5 + 0*g - 4. What is the second derivative of q(n) wrt n?
-36*n**2
Let m be 12/5 + 45/75. Let d(s) be the third derivative of 3*s**2 + 0*s**5 - 1/70*s**7 + 0*s**6 + 1/2*s**m + 0*s**4 + 0*s + 0. Differentiate d(b) wrt b.
-12*b**3
Let x(y) be the third derivative of y**5/20 + 7*y**4/24 - 2*y**2. Find the second derivative of x(i) wrt i.
6
Suppose 0 = -3*p + 7*p - u - 55, -p + 25 = 2*u. Suppose 6*o - o = p. What is the first derivative of -3 - 3*h**o + 3*h - 3*h wrt h?
-9*h**2
Let g(m) = 8*m + 4. Let z(d) be the first derivative of -d - 6. Let i(b) = g(b) - 3*z(b). Differentiate i(f) wrt f.
8
What is the derivative of u**4 + 21 + 0*u**4 - 16 wrt u?
4*u**3
Let j(p) be the second derivative of -11*p**6/6 - p**3/3 + 5*p**2/2 + 21*p. Find the second derivative of j(n) wrt n.
-660*n**2
Let m(n) = -31*n**2 - 5*n. Let t(a) = -15*a**2 - 2*a. Let p(o) = 3*m(o) - 5*t(o). Find the second derivative of p(g) wrt g.
-36
Differentiate -3*x**3 + 76*x**4 + 3*x**3 - 2 - 69*x**4 with respect to x.
28*x**3
Let b(p) be the second derivative of 9*p**4/4 + p**3/6 - 23*p. Find the second derivative of b(o) wrt o.
54
Differentiate -40 - 18 + 39 + 13*b**3 with respect to b.
39*b**2
Let s(r) be the first derivative of -15*r**4/2 + 17*r + 30. Differentiate s(f) with respect to f.
-90*f**2
Let t(p) = -2*p. Let c be t(-1). Let z(l) = -7*l**4 - 5*l + 7. Let r(d) = -3*d**4 - 2*d + 3. Let o(g) = c*z(g) - 5*r(g). Differentiate o(i) wrt i.
4*i**3
Suppose -5*r - 5*h + 9 = -h, -5*h = 4*r. What is the third derivative of r*v**2 + 1 + 3 - 4 + 2*v**4 wrt v?
48*v
Let m(j) = 4*j - 44. Let c be m(11). Let v(u) be the third derivative of 1/6*u**3 + u**2 + c*u + 0 + 1/24*u**4. Differentiate v(d) wrt d.
1
Let t(u) = -11*u**6 - 2*u**5 - 14*u**2 + 2. Let g(w) = -w**6 + w**5 + w**2 - 1. Let k(l) = 2*g(l) + t(l). What is the third derivative of k(v) wrt v?
-1560*v**3
Suppose 4*z = 4*x, 3*x - z + 2*z = 16. What is the second derivative of 3*c**5 - c**5 + x*c - 3*c wrt c?
40*c**3
Let t(v) be the third derivative of v**6/15 - v**5/6 + v**2. Find the third derivative of t(a) wrt a.
48
Let r(j) be the third derivative of -j**2 + 1/2*j**3 + 0*j**5 + 0 + 0*j + 0*j**4 + 1/40*j**6. Differentiate r(a) wrt a.
9*a**2
Let h(l) be the third derivative of -l**7/630 + l**5/120 - l**4/12 + 4*l**2. Let j(q) be the second derivative of h(q). Find the first derivative of j(w) wrt w.
-8*w
Let r = -4 + 4. Suppose r = -i + 2*g + 3 - 7, -2*g = -3*i. Find the third derivative of -5*p**4 + 3*p**5 + p**2 + 3*p**4 + i*p**4 wrt p.
180*p**2
Differentiate -39 - 4*l + 49 - 3*l**2 + 4*l with respect to l.
-6*l
Let y(w) be the third derivative of 5*w**9/168 + w**5/5 - 3*w**2. What is the third derivative of y(h) wrt h?
1800*h**3
Let c = 4 + -1. What is the second derivative of 10*g - 7*g + 2*g**3 - g**c wrt g?
6*g
Let d(c) be the second derivative of -7*c**5/20 - 7*c**2/2 - 6*c. Find the first derivative of d(t) wrt t.
-21*t**2
Let f(r) = r**4 - r + 1. Let c(u) = 5*u**4 - 8*u**2 - 3*u + 3. Let d be (12/(-8))/((-1)/2). Let i(k) = d*f(k) - c(k). Find the third derivative of i(y) wrt y.
-48*y
Let k be 78/21 + (-4)/(-14). Let i = -14 - -16. What is the second derivative of k*d + 6 - 6 - d**i + 0 wrt d?
-2
Let d(j) = 9*j + 0*j**2 + 4*j**2 - 4 + 2 + 0. Let l(f) = -21*f**2 - 46*f + 11. Let t(i) = -11*d(i) - 2*l(i). What is the second derivative of t(m) wrt m?
-4
Let s(l) be the third derivative of l**8/560 - l**6/120 - l**3/3 - l**2. Let n(m) be the first derivative of s(m). What is the third derivative of n(y) wrt y?
72*y
What is the derivative of -8 + 6 - 9*p + 3*p wrt p?
-6
Let z(t) = 4*t**3 + t**2 - t. Let r be z(1). What is the derivative of 0*m**4 + 0*m**4 - 1 + m**r - 1 wrt m?
4*m**3
Find the second derivative of 43*h - 12*h**5 - 23*h + 56*h**5 wrt h.
880*h**3
What is the second derivative of -71*q**3 + 7*q + 3*q**4 + 71*q**3 wrt q?
36*q**2
Let h be (-40)/12*(-12)/10. Differentiate 1 - 3 + 4 - 2*z**h + 1 wrt z.
-8*z**3
Let j(p) be the first derivative of -p**5/10 + 5*p**4/24 - 3*p**2 + 1. Let l(y) be the second derivative of j(y). What is the second derivative of l(h) wrt h?
-12
Let z(v) be the second derivative of 0*v**5 + 2*v + 0*v**6 - 1/21*v**7 + 0*v**2 + 0 - 1/4*v**4 + 0*v**3. What is the third derivative of z(u) wrt u?
-120*u**2
Let t be -5*((-1)/1 + 0). Find the first derivative of 6 - 2 - 3 + t*p wrt p.
5
Find the first derivative of 56*q**3 + 2*q**3 - 13*q**3 + 21 wrt q.
135*q**2
Let a(y) be the first derivative of y**6/40 - y**4/8 - y**2/2 - 1. Let z(r) be the second derivative of a(r). Find the second derivative of z(d) wrt d.
18*d
What is the derivative of 89*t + 19 - 45*t - 19*t**2 - 44*t wrt t?
-38*t
Let t(d) = 21*d**3 + 12*d**2 + 2*d + 2. Let i(v) = 210*v**3 + 119*v**2 + 21*v + 21. Let m(n) = -2*i(n) + 21*t(n). What is the third derivative of m(y) wrt y?
126
Let b(w) be the second derivative of 5*w**7/14 + w**3/2 - 3*w**2 - 38*w. Find the second derivative of b(o) wrt o.
300*o**3
Let r(m) = 6*m**2 - 8*m + 2. Let l be ((-10)/4 + 3)*10. Let y(v) = 12*v**2 - 16*v + 5. Let a(c) = l*r(c) - 2*y(c). Find the second derivative of a(b) wrt b.
12
Let r(k) be the first derivative of 28*k**3/3 - 6*k**2 - 5. Find t