ird derivative of 10*j - 5*j**4 - 10*j + 5*j**2 wrt j.
-120*j
Let q be (-11 + 1)*(-18)/15. Suppose 2*r + q = 6*r. Differentiate 3*y**3 - 1 + 2 + 0*y**r with respect to y.
9*y**2
What is the derivative of -7 - 36*w**2 + 38 + 5 wrt w?
-72*w
What is the third derivative of -32*g**4 + 38*g**2 - 14*g**4 + 5*g**4 wrt g?
-984*g
Let b = 27 + -22. Find the third derivative of 108*y + 6*y**2 + 5*y**b - 108*y wrt y.
300*y**2
Let s = 31 + -13. Find the third derivative of s*u + 3*u**3 - 18*u + 2*u**2 wrt u.
18
Let s(h) be the third derivative of -h**9/126 + h**6/60 - h**5/30 - h**4/8 + 5*h**2 + h. Find the third derivative of s(u) wrt u.
-480*u**3 + 12
Suppose 4*f + 4*v - 4 = 0, -3 = 3*f + 5*v - 0*v. Suppose -z - 2*z = h, -f*h + 4*z + 16 = 0. Differentiate 1 + m**2 + 1 - h wrt m.
2*m
Let t(d) be the first derivative of -3*d**6/2 + d**5/5 + 3*d**2 - d + 23. What is the second derivative of t(w) wrt w?
-180*w**3 + 12*w**2
Let k = 0 - -2. Suppose -4*a = -2*a - 5*u + 12, -2*u = -k*a. Find the third derivative of -2*z**2 - 6*z**5 + 0*z**2 + a*z**5 wrt z.
-120*z**2
Suppose -16 = -9*h + 5*h. Differentiate 0 - 4*y**h + 0 + 5*y**4 - 1 with respect to y.
4*y**3
Suppose 0 = -l + 3 - 1. Find the third derivative of -a**4 + 4*a**3 - 4*a**3 - 2*a**l wrt a.
-24*a
What is the second derivative of 10*r - 3*r**5 - 3*r + 0*r**5 + r**5 wrt r?
-40*r**3
Let r = 7 - 4. Suppose -c + r*c = 12. Let h(x) = -9*x**3 - 9. Let l(d) = -d**3 - 1. Let z(g) = c*h(g) - 51*l(g). What is the derivative of z(k) wrt k?
-9*k**2
Let s(p) be the first derivative of p**5/5 - 8*p + 3. Find the first derivative of s(n) wrt n.
4*n**3
Suppose 4*c + 3*p - 65 = 2, p = 1. Let j be 60/c + 1/4. Find the second derivative of j + w**4 - 4 + w wrt w.
12*w**2
Let c(b) be the third derivative of -5*b**9/252 - b**5/5 - 12*b**2. What is the third derivative of c(m) wrt m?
-1200*m**3
Suppose -2*v + v = 0. Suppose v = z - 0 - 5. Find the second derivative of 0*a - 2*a - 5*a**z + 4*a**5 wrt a.
-20*a**3
Let l(j) = 22*j**4 + 12*j**2 - 3*j + 3. Let z(a) = -21*a**4 - 12*a**2 + 2*a - 2. Let h(r) = -2*l(r) - 3*z(r). Find the third derivative of h(f) wrt f.
456*f
Find the third derivative of -3*w**2 + 11*w**5 - 8*w**6 - 11*w**5 + 9*w**2 wrt w.
-960*w**3
Let n = 0 + 4. Find the third derivative of 6*x**3 - n*x**2 + 1 - 4*x**3 - 1 wrt x.
12
Suppose 4*q - 3*q = 3. Differentiate 4 - 23*u**3 + 23*u**q + u**4 with respect to u.
4*u**3
Let y be 3/2*2/(-3). Let c(p) = p**3. Let v(r) = -6*r**3 - 2. Let s(d) = y*c(d) - v(d). What is the derivative of s(u) wrt u?
15*u**2
Let r(s) be the first derivative of s**2 - 5*s + 2. Differentiate r(q) wrt q.
2
Let k(s) be the first derivative of 25*s**4/2 - 53*s**3/3 - 16. What is the third derivative of k(o) wrt o?
300
Let y(t) be the first derivative of t**5 + 8*t - 2. Find the first derivative of y(x) wrt x.
20*x**3
Let v(a) be the second derivative of -a**7/30 - a**3/6 - 3*a**2 + 9*a. Let d(p) be the first derivative of v(p). Differentiate d(f) wrt f.
-28*f**3
Let r(j) = -1. Let q(i) be the second derivative of i**3/3 - 7*i**2/2 + 4*i. Let x(a) = q(a) - 4*r(a). Differentiate x(c) with respect to c.
2
Let n(t) be the third derivative of t**6/60 - 5*t**3/3 - 14*t**2. What is the first derivative of n(x) wrt x?
6*x**2
Let s(v) be the second derivative of v**5/40 - v**4/6 + v**3/3 - v. Let k(i) be the second derivative of s(i). What is the derivative of k(w) wrt w?
3
Let r = -21 - -31. Let u be (-5)/r*(-4)/1. What is the first derivative of 0*s**2 - 3*s**u + 4*s**2 + s**2 + 4 wrt s?
4*s
Let h(r) be the second derivative of 13*r**3/6 - 3*r**2/2 + 3*r. Differentiate h(v) with respect to v.
13
Let j(l) be the third derivative of 13*l**6/60 - l**4/6 - 2*l**2. What is the second derivative of j(z) wrt z?
156*z
Let v(q) = -7*q - 2. Let l(p) = -13*p - 4. Suppose 6 - 14 = -2*d. Let k(u) = d*l(u) - 7*v(u). What is the first derivative of k(i) wrt i?
-3
Let k(j) = j + 18. Let d be k(-15). Let s(b) be the first derivative of 0*b + 2/3*b**d + 1 + 3/2*b**2. Find the second derivative of s(y) wrt y.
4
Let r(d) = d**5 + 2*d**4 + 2*d**3 + d**2. Let c(v) = v**5 + v**4 + v**3 + v**2. Let h(q) = 4*c(q) - 2*r(q). What is the third derivative of h(w) wrt w?
120*w**2
Let t(r) = -64*r + 15. Let c(y) = -64*y + 14. Let g(m) = -2*c(m) + 3*t(m). Find the first derivative of g(f) wrt f.
-64
Suppose -2*n + 4*x = 10, -13 = -0*n - 4*n - 3*x. Let u be (2 + n)*(1 + 0). Differentiate 2*r**3 + r**4 + 0*r**4 - 2*r**u + 2 with respect to r.
4*r**3
Let z(j) be the first derivative of 8 + 0*j**2 + 4*j - 5/3*j**3. Find the first derivative of z(d) wrt d.
-10*d
Let l(i) be the second derivative of 5*i**7/21 + 7*i**3/6 + 10*i. What is the second derivative of l(c) wrt c?
200*c**3
Let c(i) = -9*i + 13. Let q(n) = -5*n + 6. Suppose 2*g + 18 = z, 2*g + 33 = -g + 3*z. Let d(k) = g*q(k) + 3*c(k). Differentiate d(w) wrt w.
8
Let j(c) be the first derivative of -2*c**2 + 0*c - 2 - 1/3*c**3. Find the second derivative of j(a) wrt a.
-2
Suppose -3 + 9 = 2*f. Let r = f - -2. Find the second derivative of -3*x + 6*x + 3*x**3 + 4*x**r - 3*x**3 wrt x.
80*x**3
Let t(j) be the second derivative of -37*j**6/30 + 43*j**2/2 - 20*j. What is the derivative of t(l) wrt l?
-148*l**3
Suppose -i + 3*i + 4 = 0, 0 = -3*c + 2*i + 7. What is the derivative of c - 1 - 3*t**4 + 0 + 5 wrt t?
-12*t**3
Let c(q) = -2*q**4 - 4*q**3 + 4*q**2 - 2. Let l(y) = 3*y**4 + 7*y**3 - 7*y**2 + 5. Let f(t) = -7*c(t) - 4*l(t). What is the derivative of f(u) wrt u?
8*u**3
Let k be (-15)/(-6)*1*2. Suppose -1 - k = -3*p. What is the derivative of 2*a**p - a**4 - 2*a**2 + 1 wrt a?
-4*a**3
Let o(p) be the third derivative of -p**8/112 - 13*p**4/24 - 7*p**2. Find the second derivative of o(s) wrt s.
-60*s**3
Let x(n) be the first derivative of 2*n**5/5 + 29*n**2/2 + 47*n - 53. What is the derivative of x(k) wrt k?
8*k**3 + 29
Let l(t) = t**2 - 3*t + 2. Let u be l(3). Let k(o) = 1. Let s(w) = -3*w**2 + 3. Let j(a) = u*k(a) + s(a). Differentiate j(i) with respect to i.
-6*i
Suppose 5*z - 10 = -3*s, -2*z + 5*s + 0 = -4. Find the third derivative of 5*q**6 - q**3 - q**6 + q**3 + q**z wrt q.
480*q**3
Let t(d) = -5*d**4 - 3*d**2 - 3*d - 6. Let o(i) = 15*i**4 + 8*i**2 + 8*i + 18. Let v(u) = 3*o(u) + 8*t(u). Find the first derivative of v(h) wrt h.
20*h**3
Let z(c) = -11*c**3 - 6*c**2 - 6*c - 3. Let p(w) = 21*w**3 + 11*w**2 + 11*w + 5. Let o(i) = 6*p(i) + 11*z(i). Differentiate o(y) wrt y.
15*y**2
Let a be (-5 - -1)*-1 + -4. Let y(o) be the second derivative of 1/20*o**5 + 0*o**2 + a - 3*o + 1/4*o**4 + 0*o**3. What is the third derivative of y(w) wrt w?
6
Find the first derivative of -4*x - x + 0 + 2 wrt x.
-5
Differentiate 6*d**2 - 3*d**2 - 2*d**2 - 2 with respect to d.
2*d
Let o(g) = 23*g**3 + 38*g**2 + 2*g - 2. Let c(u) = 70*u**3 + 114*u**2 + 7*u - 7. Let l(y) = 2*c(y) - 7*o(y). Find the third derivative of l(j) wrt j.
-126
Let f(a) = a**2 - 4*a - 4. Let x be f(6). Let g(s) = -s + 10. Let c be g(x). What is the third derivative of -5*d**4 + 3*d**4 + d**c + d**2 wrt d?
-48*d
Differentiate -d**2 + 4*d**2 - 11 + 4 - 9 wrt d.
6*d
Let j(t) be the third derivative of -2*t**2 + 0*t - 5/24*t**4 + 0*t**3 + 0 + 0*t**5 + 1/24*t**6. Find the second derivative of j(b) wrt b.
30*b
Let a = 4 - 1. What is the derivative of 4 - 7 - 2 - a*f + 4*f wrt f?
1
Find the first derivative of -3*j**3 + 3 + 3*j**3 - 3*j**3 wrt j.
-9*j**2
What is the derivative of 2*f - 13*f**2 + 12*f**2 + 15 + 25*f wrt f?
-2*f + 27
What is the second derivative of 2*y**5 + 29*y**5 + 27*y - 77*y - 12*y**5 wrt y?
380*y**3
Let a(o) = 4*o**2. Suppose 5*g - 6 = -v + 10, 0 = 3*v - 4*g + 9. Let j be a(v). What is the first derivative of j*p + 2 - p - p wrt p?
2
Let r(k) be the first derivative of -2*k**3 - 7*k - 7. What is the derivative of r(j) wrt j?
-12*j
Let u(i) be the third derivative of 0*i - 1/8*i**4 + 1/84*i**8 + 0*i**3 + 0 + 0*i**7 + 4*i**2 + 0*i**5 + 0*i**6. What is the second derivative of u(l) wrt l?
80*l**3
Let d(u) = 9*u**3 - 6*u**2 + 6*u + 8. Let a(o) = o**3 - o**2 + o + 1. Let s(k) = -k**2 - 2. Let x be s(2). Let v(z) = x*a(z) + d(z). Differentiate v(c) wrt c.
9*c**2
Suppose 3*s - 3 = 6. Let n(f) be the first derivative of 0*f**s + 0*f + 0*f**5 + f**2 - 1/6*f**6 + 1 + 0*f**4. What is the second derivative of n(w) wrt w?
-20