st derivative of 4/3*l**k - l**2 + 0*l - 2. Find the second derivative of n(i) wrt i.
8
Let d(y) be the first derivative of -2 + y**2 + 1/6*y**4 + y + 0*y**3. Let k(t) be the first derivative of d(t). Differentiate k(l) with respect to l.
4*l
Let z = 3 - 2. What is the first derivative of d + z - 2 + 0 wrt d?
1
Let c(h) = -h**2 + 1. Let s(m) = -m**2 - 9*m - 10. Let k be s(-9). Let f(i) = -3*i**2 + 2. Let v(w) = k*c(w) + 2*f(w). Differentiate v(l) wrt l.
8*l
Let v be 6/(-4)*(-1 - 1). Suppose 2 = -z + 3. What is the derivative of 4*s - v*s - 4*s - z wrt s?
-3
Let g(k) be the first derivative of -2/3*k**3 + 0*k + 0*k**2 - 2 + 1/4*k**4. Find the third derivative of g(r) wrt r.
6
Let v(p) be the first derivative of p**7/6 - p**3/6 - 5*p + 8. Let x(a) be the first derivative of v(a). Find the second derivative of x(c) wrt c.
140*c**3
Suppose -4*r - 16 = 0, 4*r + 24 = 4*n - 0*n. Let l(q) be the first derivative of q**3 - 2 + 2*q + 0*q - q + n*q. Find the first derivative of l(u) wrt u.
6*u
What is the third derivative of 256*n + 36*n**2 + 248*n + 21*n**3 - 504*n wrt n?
126
Find the third derivative of -2*k**6 + k**6 - 5*k**6 + 14*k**2 wrt k.
-720*k**3
Suppose 3 = 8*m - 13. Let l(a) be the first derivative of 0*a**3 - a - m + 1/4*a**4 + 0*a**2. Differentiate l(b) with respect to b.
3*b**2
Suppose -5*x = -x - 8. Let g = 22 - 20. Differentiate -2 + g*l + l - 4*l + x*l with respect to l.
1
Let q(m) = -m**3 + 7*m**2 + m - 4. Let p be q(7). What is the third derivative of -a**2 + 0*a**3 + 4*a**3 - p*a**3 wrt a?
6
Let j(c) = -32*c**3 - 2*c**2 - 3*c + 2. Let a(p) = 63*p**3 + 5*p**2 + 5*p - 5. Let q(b) = 2*a(b) + 5*j(b). What is the second derivative of q(k) wrt k?
-204*k
Let b(t) = t**3 + 8*t + 6. Let w(n) = -n + 1. Let u(i) = -b(i) + 6*w(i). Find the second derivative of u(j) wrt j.
-6*j
Let c(t) = t**4 - t**3 + t**2 - 1. Let g(j) = -7*j**4 + 6*j**3 - 6*j**2 - 12. Let l(f) = -6*c(f) - g(f). Find the first derivative of l(w) wrt w.
4*w**3
Let z(d) be the third derivative of -5*d**9/126 - d**5/6 + 17*d**2. Find the third derivative of z(l) wrt l.
-2400*l**3
Let v be -2 + 0 + (3 - -3). Let c be (-2)/v + (-10)/(-4). What is the first derivative of 4*m**2 - 1 - 4*m**c + m**4 wrt m?
4*m**3
Let m(y) be the second derivative of -y + 1/3*y**3 + 1/3*y**4 + 0 + 0*y**2. What is the second derivative of m(a) wrt a?
8
Let d(w) = -15*w**2 + 7*w - 2. Let i = 15 + -22. Let r(t) = -7*t**2 + 3*t - 1. Let f(h) = i*r(h) + 3*d(h). What is the first derivative of f(m) wrt m?
8*m
Let q(c) be the third derivative of -5/12*c**4 + 0*c**7 + 0*c**3 + 5/168*c**8 + 0*c + 5*c**2 + 0*c**5 + 0 + 0*c**6. Find the second derivative of q(v) wrt v.
200*v**3
Let f(b) be the third derivative of -7*b**5/6 + 59*b**3/6 - b**2 + 1. What is the first derivative of f(m) wrt m?
-140*m
Let g be (-14)/(-4)*(-8)/(-14). What is the third derivative of k**2 - 4*k**3 + 0*k**g + 2*k**3 - 4*k**2 wrt k?
-12
Let f = 13 + -7. Suppose -2*x = -4*x + f. Differentiate 0*d**x + 2*d**3 - 3 + 4 with respect to d.
6*d**2
Let r(a) be the second derivative of -37*a**5/20 - 31*a**4/12 + 37*a. Find the third derivative of r(k) wrt k.
-222
Let m(t) = -t**3 - 5*t**2 - 5*t - 5. Let s be m(-4). Let v = s - -7. Differentiate -v - 4*p + 3*p + 8 wrt p.
-1
Let z(v) be the third derivative of v**8/28 - 13*v**5/60 - 13*v**2. Find the third derivative of z(i) wrt i.
720*i**2
Suppose 2*s + 8 = y - 2*s, 5*y = 3*s - 28. Let c = 11 + y. Find the second derivative of -b + b**c + b**3 - b**3 wrt b.
6*b
Let k(w) = w + 3. Let n be k(0). Let l(i) be the second derivative of 2*i + 1/6*i**4 + 0*i**2 + 0 + 1/3*i**n. What is the second derivative of l(d) wrt d?
4
Let i(x) be the second derivative of x**4/4 - 24*x**2 + 13*x. Differentiate i(u) with respect to u.
6*u
Let u(m) = 16*m**6 - 3*m**3 + 19*m**2. Let a(t) = -32*t**6 + 5*t**3 - 39*t**2. Let s(w) = 3*a(w) + 5*u(w). Find the third derivative of s(o) wrt o.
-1920*o**3
Suppose 9*n + 15 = 14*n. Let s(t) be the second derivative of 1/12*t**4 + 1/3*t**n + 0*t**2 + t + 0. What is the second derivative of s(p) wrt p?
2
Let w(b) = b**2 - 6*b + 5. Let m be w(5). Let d(l) be the first derivative of 2/3*l**3 + 1 + m*l**2 + 0*l - 1/2*l**4. Find the third derivative of d(y) wrt y.
-12
What is the third derivative of 44*n**3 + 8*n**4 - n**2 - 18 + 15*n**4 - 24*n**4 + 0*n**2 wrt n?
-24*n + 264
Let o(r) = r**3 - 12*r**2 - 12*r - 5. Let a be o(13). Find the first derivative of -6*l + 14*l - l + a wrt l.
7
Let i(t) = 1. Let c(p) = -4*p + 6. Let u(h) = -h + 1. Let a be u(0). Let f(q) = a*c(q) - 5*i(q). Find the first derivative of f(n) wrt n.
-4
Let y(u) be the third derivative of -u**5/60 + u**4/6 - u**3/6 - 2*u**2. Let h be y(3). Find the third derivative of -2*d**6 - d**2 - 4*d**2 + 4*d**h wrt d.
-240*d**3
Find the third derivative of 25*c**2 - 2*c - 7*c**4 - 2*c**4 + 2*c wrt c.
-216*c
Let s(m) be the third derivative of -5*m**8/112 + m**5/30 + 5*m**2. Find the third derivative of s(p) wrt p.
-900*p**2
What is the third derivative of -26*x**2 + x**5 + 11*x**2 + 10*x**2 wrt x?
60*x**2
Let h(f) = -f. Let u(c) = 1. Let d(k) = 3*h(k) - 6*u(k). Find the first derivative of d(w) wrt w.
-3
Let f(c) be the second derivative of 0 - 3*c + 0*c**2 - 1/6*c**4 - 1/3*c**3. What is the second derivative of f(k) wrt k?
-4
Let o(s) be the third derivative of -1/20*s**5 + 0*s + 3*s**2 - 1/3*s**3 + 0 + 0*s**4. Find the first derivative of o(j) wrt j.
-6*j
Let d(g) be the second derivative of -3/2*g**2 + 3*g + 0*g**3 + 0 + 1/12*g**4. What is the derivative of d(h) wrt h?
2*h
Let a be (1/(-3)*-3)/1. Let b be -2*2/(-4) + 0. Find the third derivative of -b + a + 0 + i**4 + 3*i**2 wrt i.
24*i
Let c(m) be the first derivative of m**5/120 + m**4/8 + m**3 - 3. Let x(h) be the third derivative of c(h). Differentiate x(i) wrt i.
1
Let h(a) be the third derivative of a**8/84 + a**4/12 + 2*a**2. Find the second derivative of h(t) wrt t.
80*t**3
Let s(y) be the first derivative of 3*y**4/4 + 5*y**3/3 - 7. What is the third derivative of s(b) wrt b?
18
What is the second derivative of 2*u**5 + 7*u + 4*u**3 - 4*u**3 - 13*u**5 wrt u?
-220*u**3
What is the third derivative of 2*m**2 + 0*m**4 + 13*m**4 - 18*m**4 wrt m?
-120*m
Let h(f) be the second derivative of -f**5/5 - f**4/6 - 4*f. What is the third derivative of h(q) wrt q?
-24
Let r = 34 + -32. Let x(q) be the second derivative of r*q + 1/30*q**6 + 0*q**5 + 1/6*q**3 + 0 + 0*q**2 + 0*q**4. What is the second derivative of x(s) wrt s?
12*s**2
Let p(x) be the first derivative of -x**6/120 - x**4/6 + 2*x**3/3 + 4. Let g(t) be the third derivative of p(t). What is the first derivative of g(r) wrt r?
-6*r
Let f = -3 + 5. Suppose 0 = 5*r + 4*w + 2, -4*r + 1 = 4*w + 5. What is the third derivative of -2*h**5 + r*h**f - 5*h**5 + 4*h**5 wrt h?
-180*h**2
Suppose 8 = 2*z - 10. Find the third derivative of -z - 3*o**3 + 3*o**2 + 9 wrt o.
-18
Let h = -20 - -23. What is the second derivative of -7*w + 2*w**h + 3*w + 8*w wrt w?
12*w
Let a(v) = 10*v**4 + 13*v**2 + v. Let h(y) = -5*y**4 - 6*y**2. Let s(p) = 6*a(p) + 13*h(p). What is the second derivative of s(x) wrt x?
-60*x**2
Let i(r) be the first derivative of 3*r**5/10 + 4*r**3/3 - 8*r + 8. Let a(x) be the first derivative of i(x). Find the second derivative of a(g) wrt g.
36*g
What is the derivative of m**2 - 4*m**2 + 3*m**2 + 4*m**2 - 3 wrt m?
8*m
Let z(g) be the third derivative of -g**6/60 - 13*g**3/6 + 13*g**2. Find the first derivative of z(x) wrt x.
-6*x**2
Let h(g) = g**3 - g**2 + g + 1. Let x(j) = -j**4 - j**3 + j**2 + 2*j - 1. Let i(s) = -2*h(s) - 2*x(s). Find the second derivative of i(b) wrt b.
24*b**2
Let a(o) = 16*o**2 + 2*o - 33. Let s(f) = 81*f**2 + 11*f - 165. Let r(y) = 11*a(y) - 2*s(y). What is the first derivative of r(u) wrt u?
28*u
Let u(z) be the third derivative of z**8/4032 - z**7/1008 - z**5/30 + z**2. Let l(a) be the third derivative of u(a). Find the second derivative of l(j) wrt j.
10
Let j be (-2)/(0 + -2)*6. Let r be (-1 + -3)*j/(-8). Find the second derivative of -2*n + n**2 - n**2 - n**r wrt n.
-6*n
Let v(g) = -4*g**3 - 22*g**2 + 5*g - 63. Let j(m) = 2*m**3 + 11*m**2 - 2*m + 31. Let q(z) = -5*j(z) - 2*v(z). What is the derivative of q(s) wrt s?
-6*s**2 - 22*s
Let u(b) be the first derivative of b**8/560 + b**5/60 + 2*b