- 4. Let f(x) = 11*x**3 + 5*x**2 + 13. Let i(a) = 5*a**3 + 3*a**2 + 7. Let n(s) = h*i(s) + 3*f(s). What is the first derivative of n(u) wrt u?
24*u**2
Let b(i) = i**2 - 2*i + 3. Let w be b(2). Let g be (w/(-9))/(1/(-15)). Find the third derivative of -3*j**5 + 5*j**3 - g*j**3 - 2*j**2 wrt j.
-180*j**2
Let g be -2 + (-15)/(9/(-3)). Suppose 2*k - i + 6 = 13, -3*i + g = 0. Find the second derivative of -37 + 37 - k*y + 3*y**4 wrt y.
36*y**2
Let g(d) = -4*d - 6. Let p(j) = j + 1. Let b = -17 + 31. Let z(o) = b*p(o) + 3*g(o). What is the derivative of z(h) wrt h?
2
Suppose 2*n + 2*h - 32 = -3*n, n - 2*h = 4. Find the third derivative of 0*i**6 + 7*i**6 - 4*i**n - 5*i**2 wrt i.
360*i**3
Let f(v) = -3*v**3 - v. Let l be f(-1). Find the second derivative of -l*u - u - 2*u**3 + 4*u wrt u.
-12*u
Suppose 2*m - 11 = -3. Differentiate 0*s**4 + 6*s**4 - 5*s**m - 3 + 0*s**4 with respect to s.
4*s**3
Let r(u) be the first derivative of -4*u**3/3 - u**2/2 - 8. Find the second derivative of r(f) wrt f.
-8
Let i(p) = -p + 4. Suppose -12 = 3*z, 2*z = 4*g + z - 20. Let v(j) = -j + 1. Let f(u) = g*v(u) - 2*i(u). Find the first derivative of f(k) wrt k.
-2
Let r(p) be the first derivative of p**6/2 - 2*p**3 + 5. What is the third derivative of r(g) wrt g?
180*g**2
What is the derivative of -3*f - 10 - 2*f - 7*f wrt f?
-12
Let h(y) = y**3 + y + 1. Let q(s) = 3*s**5 + 8*s**3 + 2*s**2 + 8*s + 8. Let d(z) = 24*h(z) - 3*q(z). Find the third derivative of d(k) wrt k.
-540*k**2
Let i(o) be the third derivative of o**6/10 - 11*o**3/6 + 6*o**2. Differentiate i(d) wrt d.
36*d**2
Let s(u) be the first derivative of u**7/420 + u**4/8 + 2*u**3/3 + 2. Let a(n) be the third derivative of s(n). Differentiate a(d) wrt d.
6*d**2
Let d(u) be the first derivative of -u**4/2 - 3*u**2 - 9. What is the second derivative of d(v) wrt v?
-12*v
Let u = -2 - -6. Suppose -f = j + 3*f - 2, u*f + 4 = 2*j. What is the third derivative of -l**4 + 4*l**4 - j*l**4 + l**2 + l**2 wrt l?
24*l
What is the second derivative of 3*s - 4*s**3 - 2*s**3 - 4*s + 12*s**3 + 12 wrt s?
36*s
Let k(p) = p**2 - 10*p + 4. Let b be k(10). Differentiate -3*o**4 + 5*o**b + 2 + 2 wrt o.
8*o**3
Let a(v) be the third derivative of v**9/504 - v**5/6 - 6*v**2. Find the third derivative of a(j) wrt j.
120*j**3
Suppose -6*c + c + 10 = 0. Suppose -g + 2*g - 2 = 0. Find the third derivative of 2*x**4 + 0*x**4 + 0*x**2 + c*x**g wrt x.
48*x
What is the second derivative of 5*i + 282 - 282 + 8*i**4 wrt i?
96*i**2
What is the third derivative of 6*b**2 - 29*b**5 + 124*b**4 - 124*b**4 wrt b?
-1740*b**2
Suppose 13 = 5*d - 2. Let i(h) = h**2 - 3*h. Let g be i(3). What is the second derivative of n + g*n**3 + n**d - 3*n + 4*n wrt n?
6*n
Let d(j) = 6*j**2 + 2*j + 1. Let r be d(-1). Find the second derivative of 4*s - 3*s**3 + s**3 + 2*s - r*s**3 wrt s.
-42*s
Let v be (4/(-2) + 4)*2. Find the first derivative of -3 + 0*l**v + 3*l**4 + 6 wrt l.
12*l**3
Let x be -3 - (-24*1)/3. Suppose -3*p = -0*p + 6, -j = -x*p - 14. Find the second derivative of -y**4 + 4*y**j + 0*y**4 + y wrt y.
36*y**2
Find the second derivative of 9 + 8*y**2 - 9 - 2*y wrt y.
16
Differentiate -14*a**2 - 11*a + 11*a - 8*a**2 + 5 wrt a.
-44*a
Let g(o) be the third derivative of 4*o**7/105 + 3*o**4/8 + 4*o**2. What is the second derivative of g(l) wrt l?
96*l**2
Suppose -5*v + 4 + 6 = 0. Suppose 0 + 8 = v*m. What is the second derivative of t - t**2 + t - m*t wrt t?
-2
Let o(q) be the second derivative of 0 + 4*q + 0*q**5 + 0*q**2 + 1/3*q**4 + 0*q**3 - 1/21*q**7 + 0*q**6. What is the third derivative of o(t) wrt t?
-120*t**2
Suppose -3*l + 2 = -10. Suppose 0 = 4*f + 3*n - 12, -f + 5*n = 11 + 9. What is the first derivative of 0*r**4 + f - 1 + r**l wrt r?
4*r**3
Find the first derivative of 7*n**3 - n + 81 - 69 + n wrt n.
21*n**2
Suppose 10 = -5*x + 35. Let g = 10 - 7. What is the third derivative of 0*h**x - 2*h**2 + h**2 + g*h**5 wrt h?
180*h**2
Suppose v + 2*b - 6 = -v, 9 = v - b. Let a be (11 - 2)*2/v. What is the second derivative of a*l**2 + 3*l + 5*l - 6*l wrt l?
6
Let p(b) be the first derivative of 17*b**5/5 - 35*b - 37. Differentiate p(z) with respect to z.
68*z**3
Suppose 3*y - y + 8 = 0. Let z = 6 + y. Differentiate z + 0 + b - 3*b - 3 wrt b.
-2
Find the third derivative of 16*x**4 - 63*x**2 + 4*x**3 - 4*x**3 + 57*x**2 wrt x.
384*x
Let j be (1/3)/(8/48). What is the third derivative of -2*a**j + 2*a**2 + 4*a**5 - a**2 wrt a?
240*a**2
Let t(f) = 14*f**3 - 12*f**2 - 2*f - 2. Let u(a) = -71*a**3 + 59*a**2 + 11*a + 11. Let g(j) = -22*t(j) - 4*u(j). What is the third derivative of g(v) wrt v?
-144
Let r(i) be the third derivative of -3*i**8/112 + 11*i**4/24 + i**2. Find the second derivative of r(s) wrt s.
-180*s**3
Let n(q) = -q**2 + 3*q - q - 3*q + 2. Let t(w) = 1 + 5*w**2 + 6*w - 3 - 9. Let j(l) = 22*n(l) + 4*t(l). What is the second derivative of j(m) wrt m?
-4
Let u be 3/(-9) - 28/(-12). What is the third derivative of 16*b**u - 7*b**6 + 0*b**2 - 7*b**2 wrt b?
-840*b**3
What is the third derivative of -2*c - 10*c**2 - 948 + 948 - 10*c**3 wrt c?
-60
Let g(i) be the second derivative of -17*i**8/28 - 7*i**4/4 + 35*i. Find the third derivative of g(l) wrt l.
-4080*l**3
Let p(b) be the third derivative of 0*b**3 + 0*b + 2*b**2 + 1/60*b**5 + 0 - 1/12*b**4. Find the second derivative of p(w) wrt w.
2
Suppose z - 2 - 3 = 0. Find the first derivative of 3*o**2 + 3*o**2 + 0*o**2 - z wrt o.
12*o
Let t(d) be the first derivative of -1 + 0*d**3 + 1/3*d**6 + 3/2*d**2 + 0*d**4 + 0*d**5 + 0*d. What is the second derivative of t(q) wrt q?
40*q**3
Suppose -d + 0*g = -3*g + 8, 10 = -2*d + 4*g. Let r be (-2)/(-5) - (-18)/5. Find the third derivative of u**2 + 2*u**r - d + 1 wrt u.
48*u
Suppose -3*y + 216 = 213. Let v(x) be the first derivative of -3*x + 0*x**3 + 0*x**2 + 0*x**4 - 1/5*x**5 + y. Differentiate v(g) wrt g.
-4*g**3
Let w(x) = 5*x**3 - 6*x**2 - 6*x - 24. Let n(a) = -a**3 - a**2 - a. Let p(k) = -6*n(k) + w(k). What is the first derivative of p(q) wrt q?
33*q**2
Let n = -28/5 - -6. Let u(j) be the first derivative of -1/2*j**2 + 0*j**3 + 2 + 0*j + 0*j**4 + n*j**5. What is the second derivative of u(i) wrt i?
24*i**2
Let b(h) be the third derivative of -11*h**5/30 + 23*h**4/24 - 29*h**2. Find the second derivative of b(g) wrt g.
-44
Let q(n) = -13*n**3 - 5*n**2 - 16*n - 5. Let s(y) = -y**2 - y - 1. Let o(i) = -q(i) + 5*s(i). Find the second derivative of o(d) wrt d.
78*d
Let y(v) be the second derivative of v**6/3 - 5*v**2/2 - 9*v. What is the first derivative of y(h) wrt h?
40*h**3
Find the second derivative of 2 - 2 + 2*q**5 - 6*q + 2*q**5 wrt q.
80*q**3
Let w(t) = -t**4 + 7*t**3 - 12*t**2 + 7*t. Let u(n) = -2*n**4 + 6*n**3 - 13*n**2 + 6*n. Let v(q) = -7*u(q) + 6*w(q). What is the third derivative of v(l) wrt l?
192*l
Suppose 3*m - 1 - 5 = 0. What is the third derivative of -4*n**6 - m*n**5 + 2*n**5 - 3*n**2 + 5*n**2 wrt n?
-480*n**3
Let a(o) be the third derivative of o**8/1344 + o**6/720 + o**4/6 + 4*o**2. Let t(r) be the second derivative of a(r). Find the second derivative of t(m) wrt m.
30*m
What is the third derivative of a**2 + 0*a**3 - 2*a**3 - 6*a**2 wrt a?
-12
Let o(i) = 7*i**3 - 5*i**2 + 5*i - 8. Let a(p) = 2 + 6*p**2 - 8*p**3 + 6 - 3*p - 3*p. Let n(h) = -5*a(h) - 6*o(h). Differentiate n(q) with respect to q.
-6*q**2
Let j(h) be the third derivative of -13*h**8/336 - h**5/12 - h**2. Find the third derivative of j(i) wrt i.
-780*i**2
Let o = -11 - -8. Let q = o - -7. Find the first derivative of 2 - q + 0 - a**4 wrt a.
-4*a**3
Suppose 5*w = w - 2*l + 14, 2*w + 3*l = 13. Find the first derivative of -o**4 + 13*o + w - 13*o wrt o.
-4*o**3
Let c(h) be the third derivative of -1/12*h**4 - 1/60*h**5 + 0 + 0*h + 0*h**3 - 4*h**2. Find the second derivative of c(i) wrt i.
-2
What is the second derivative of 6*y + 5*y + 2111*y**3 - 2102*y**3 wrt y?
54*y
What is the third derivative of 12*m**4 + 172*m**2 + 19*m**4 - 178*m**2 + 4*m**4 wrt m?
840*m
Suppose -5*s - 5*x = 10, -3*s - 8 = 4*x - 4. Let d = -1 - s. Find the second derivative of 9*n**d - 6*n - 12*n**3 + 2*n wrt n.
-18*n
Let u be 4/(-12) + 13/3. Suppose 3*p - u = 5. Find the first derivative of 0 - 4 - 2*k**2 + p wrt k.
-4*k
Let h(f) be the third derivative of 0 + 0*f + 1/56*f**8 - 1/6*f**4 + 0*f**5 - 4*f**2 + 0