What is the third derivative of l(o) wrt o?
1440*o**3 - 72*o
Let c(o) be the first derivative of 0*o + 0*o**4 - 1/5*o**5 + 2/3*o**3 - 3 + 0*o**2. Find the third derivative of c(l) wrt l.
-24*l
Let k(q) be the second derivative of -5*q + 0 + 3*q**2 + 1/20*q**5 + 0*q**3 + 0*q**4. Differentiate k(y) wrt y.
3*y**2
Let g(d) = d**3 + d - 1. Let l(f) = -17*f**3 + 2*f - 4. Let w(c) = 2*g(c) - l(c). What is the derivative of w(j) wrt j?
57*j**2
Let v(z) be the third derivative of z**5/15 + 5*z**3/2 - 7*z**2. Find the first derivative of v(m) wrt m.
8*m
Let u(c) be the second derivative of -c**4/6 - 7*c**2/2 + 3*c. What is the first derivative of u(q) wrt q?
-4*q
Let f(r) = -r**2 - 1. Let a = 0 - 1. Let s(l) = -2*l**2 + 0*l**3 - 2 + 2*l**3 + l**2. Let p(i) = a*s(i) + 2*f(i). Find the third derivative of p(n) wrt n.
-12
Let r be 0 + 4/(4/3). Suppose 5*c + 20 = n, -n = 3*n - c - 23. What is the third derivative of 0*s**3 + n*s**3 - 3*s**2 - 4*s**r wrt s?
6
Let z be (-9)/(-12)*4*1. Find the second derivative of -11*g**3 + 7*g**3 + 3*g**z - 7*g wrt g.
-6*g
Suppose 5*c + s = 15, c + 4*s - 14 = 8. What is the third derivative of -3*r**6 + 6*r**2 - r**c + 2*r**6 - 2*r**2 wrt r?
-120*r**3
What is the third derivative of -2*r**3 - 2*r**5 + 3*r**2 + 12*r**3 - 5*r**3 - 5*r wrt r?
-120*r**2 + 30
Suppose 0 = b + 2*b - 6. Let m(l) be the first derivative of 1 + 1/6*l**6 + 0*l + 0*l**3 + 0*l**4 + 0*l**5 + 1/2*l**b. Find the second derivative of m(v) wrt v.
20*v**3
What is the second derivative of -4*b**3 - 7*b**3 + 8*b + 3*b**3 wrt b?
-48*b
What is the third derivative of -16*b**2 - b**5 + 15*b**2 - 6*b**5 wrt b?
-420*b**2
Let o(w) be the first derivative of w**6/40 - w**3/6 + 3*w**2/2 - 3. Let l(a) be the second derivative of o(a). Differentiate l(q) wrt q.
9*q**2
Suppose 0*v = 2*v - 4. Let g = 83 + -81. What is the second derivative of s - s**4 + s**v + g*s - s**2 wrt s?
-12*s**2
Suppose k = -0 - 7. Let c(f) = -9*f - 6. Let t(w) = -13*w - 9. Let v(r) = k*c(r) + 5*t(r). Differentiate v(j) wrt j.
-2
Find the second derivative of 8*p**3 - 2*p - 16*p**3 - 12*p**3 - 9*p wrt p.
-120*p
Let g(l) = -l**3 - 3*l**2 - l - 2. Let h be g(-3). Let s be h - 2/(-3)*3. Find the second derivative of 2*d + 1 - 2*d**s - 1 + 0*d**3 wrt d.
-12*d
What is the first derivative of -5*t**4 - t**4 + 0*t**4 - 19 + 6 wrt t?
-24*t**3
Let x(o) be the first derivative of 11*o**6/6 + o**3 + 15. Find the third derivative of x(u) wrt u.
660*u**2
Let w(l) = 29*l**3 - 33*l**2 + 5*l + 5. Let s(y) = -14*y**3 + 16*y**2 - 3*y - 3. Let r(t) = -5*s(t) - 3*w(t). Find the third derivative of r(c) wrt c.
-102
Let m(w) be the first derivative of 7*w**6/30 - 7*w**2/2 + 4*w - 5. Let d(s) be the first derivative of m(s). What is the derivative of d(a) wrt a?
28*a**3
Let d(p) = p**3 - 2*p**2 - p. Let k be d(2). Let x be (-39)/6*k + -1. What is the first derivative of -m**4 + 1 + x*m**2 - 12*m**2 wrt m?
-4*m**3
Find the third derivative of -4*n**2 + 11*n**2 + 45*n**3 - 46*n**3 wrt n.
-6
Let k(i) = -i**2 - 6*i - 5. Let o be k(-4). Differentiate 2 + 3*r - 6*r - o with respect to r.
-3
Suppose -2*m + 6 = m. What is the first derivative of 2*n**2 - 2 + 0 + 8*n**2 - 2*n**m wrt n?
16*n
Let b(q) be the second derivative of q**4 - 9*q**2/2 - 9*q. Find the first derivative of b(l) wrt l.
24*l
Let c = -12 + 22. Suppose 0*z + c = 5*z. What is the second derivative of 4*v**4 - 3*v**4 - v + z*v wrt v?
12*v**2
Let m(i) be the third derivative of 0*i**3 + 4*i**2 + 0*i + 0 + 1/20*i**5 - 1/24*i**4. What is the second derivative of m(y) wrt y?
6
Differentiate -7 + l**4 + 11 + 2 + 7*l**4 wrt l.
32*l**3
Let v(n) = 2*n**2 - 2*n. Let j be v(2). Suppose 5*k - 7 - 1 = 2*h, 0 = -j*k - 5*h - 20. Differentiate -3 - 3 + 3 + k - r**2 wrt r.
-2*r
Let q(b) be the second derivative of 0 + 1/2*b**3 - b - b**2. Differentiate q(a) wrt a.
3
Suppose 4*u - 3*u + 5*a = 14, 0 = 3*u + 4*a + 2. Let t = 8 + u. What is the third derivative of 2*i**t - 2*i**3 - 3*i**2 - 2*i**3 + 5*i**2 wrt i?
-24
Let z(f) be the third derivative of -17*f**5/30 - f**4/12 + 31*f**3/3 - f**2 + f. Differentiate z(q) with respect to q.
-68*q - 2
Let j(v) = -v + 5. Let p be j(3). What is the second derivative of 4*b**3 - 3*b**4 + 0*b**3 - 4*b**3 - p*b wrt b?
-36*b**2
Let z(v) be the third derivative of -1/30*v**6 + 2*v**2 + 0*v + 0 + 0*v**3 + 0*v**5 + 1/6*v**4. What is the second derivative of z(l) wrt l?
-24*l
Let p(a) be the second derivative of a**7/7 - 7*a**4/6 + 16*a. What is the third derivative of p(m) wrt m?
360*m**2
What is the second derivative of -3*x + 0*x**4 - x**4 + 0*x wrt x?
-12*x**2
Suppose -2*j + 7*j = 5*d + 10, 5*d - 22 = -3*j. Suppose -d*p = -2 - 2. What is the second derivative of -2*y**5 + 0*y - p*y + 0*y**5 wrt y?
-40*y**3
Let k(l) = -9*l**2 - 25. Let v(j) = j**2 + 1. Let n(d) = -k(d) - 5*v(d). Differentiate n(m) with respect to m.
8*m
Find the third derivative of 65*v**2 + 59*v**2 - 9*v**5 - 130*v**2 wrt v.
-540*v**2
Suppose 3*b + 34 = 4*v, 3*v - 5 = 2*v - b. Suppose 5*t = v*t. Differentiate -1 - 2 + 3*h**3 + t + 0 wrt h.
9*h**2
Let w(d) = -17*d + 11. Let x(n) = -1. Let i(z) = w(z) + 2*x(z). Differentiate i(u) wrt u.
-17
Suppose 5*h = 16 - 6. Find the third derivative of -n**6 + 3*n**6 + n**6 + 4*n**6 - 4*n**h wrt n.
840*n**3
Let l(g) be the third derivative of 0*g**7 + 1/30*g**5 + 0*g**3 + 1/84*g**8 + 0 + 0*g**6 + 0*g**4 + 2*g**2 + 0*g. Find the third derivative of l(v) wrt v.
240*v**2
Let t(w) = -w**2 + 5*w + 2. Let g be t(4). Suppose -4*n - 2*q = -0*q - g, 3 = -3*q. Find the second derivative of n*k + 3*k**2 + k**2 - 2*k**2 + k**2 wrt k.
6
Let j(o) = 16*o**3 + 34*o**2 - 4*o. Let f(y) = -17*y**3 - 33*y**2 + 3*y. Let r(z) = -4*f(z) - 3*j(z). What is the third derivative of r(v) wrt v?
120
Let c(f) be the first derivative of 35*f**6/6 + f**2 - 8*f - 37. Find the second derivative of c(k) wrt k.
700*k**3
Let d(o) = o**4 + o**3 + o**2 + o + 1. Let u(w) = 55*w**4 + 5*w**3 + 5*w**2 - 49*w + 5. Let t(z) = -5*d(z) + u(z). Find the second derivative of t(i) wrt i.
600*i**2
Let q(d) be the first derivative of 6/5*d**5 - 7/2*d**2 - 4 + 0*d + 0*d**4 + 0*d**3. What is the second derivative of q(j) wrt j?
72*j**2
Suppose x - 4*x = -12. Let g(b) be the third derivative of 0*b - b**2 + 0*b**3 + 0*b**x - 1/60*b**5 - 1/60*b**6 + 0. Find the third derivative of g(d) wrt d.
-12
What is the second derivative of -2*g**3 + g**3 - g - 8*g wrt g?
-6*g
Let g = -8 - -11. Find the first derivative of -8*f + 8*f - 1 + g*f**3 wrt f.
9*f**2
Let c(y) be the second derivative of -1/4*y**4 - 1/2*y**2 - 4*y + 0*y**3 + 0. Find the first derivative of c(u) wrt u.
-6*u
Let i(p) be the third derivative of 0 - p**2 + 0*p + 5/6*p**3 + 1/10*p**5 + 0*p**4. Find the first derivative of i(f) wrt f.
12*f
Differentiate 36*d + 7 + 2 - 34*d with respect to d.
2
Suppose h + 0*c + 7 = -4*c, 7 = 5*h - c. Differentiate -h - 5 + 4 + d + 1 wrt d.
1
Suppose -o + 2 = 0, -5*l - 5 + 33 = 4*o. Suppose l*y = -y + 10. Differentiate -2*p**2 + 0*p**2 + p**y - 2 wrt p.
-2*p
Let a(x) = 25*x**2 + 5. Let p(v) = -6*v**2 - 1. Let r(c) = -2*a(c) - 9*p(c). Differentiate r(q) wrt q.
8*q
Find the second derivative of 360*d**3 + 13*d**4 + 43*d - 360*d**3 wrt d.
156*d**2
Let h(u) = 8*u**3 + 6*u**2 + 11*u + 3. Let m(f) = 8*f**3 + 7*f**2 + 12*f + 4. Let c(b) = -6*h(b) + 5*m(b). Find the second derivative of c(o) wrt o.
-48*o - 2
Let h(w) be the first derivative of -8*w**6/3 + 6*w**2 - 9. Find the second derivative of h(a) wrt a.
-320*a**3
Let y = 2 + -4. Let r be (-1 + -5)*y/6. Find the third derivative of 2*v**5 + v**2 + 2*v**2 - r*v**2 wrt v.
120*v**2
What is the third derivative of 0*y + 6*y**4 - 18*y**4 + 0*y + 7*y**2 wrt y?
-288*y
Let p(b) = -18*b**4 - 16*b - 134. Let o(t) = 6*t**4 + 5*t + 45. Let d(j) = 16*o(j) + 5*p(j). Find the first derivative of d(u) wrt u.
24*u**3
Let d be 8 - 3*(-2)/(-2). Let f(r) be the first derivative of -2 + 0*r**4 + 0*r**3 + 0*r**2 + 2/5*r**d + r. Differentiate f(b) wrt b.
8*b**3
Let r(q) = 6*q**4 - 3*q**3 - 9*q**2 + 3*q. Let w(x) = x**3 + x**2 - x. Let y(c) = -r(c) - 3*w(c). Find the third derivative of y(z) wrt z.
-144*z
Suppose 8 = 5*y - y. Let q = -4 - -6. What is the third derivative of 0*l**q + 2*l**5 - y*l**2 - l**5 wrt l?
60*l**2
Let n = 1187/72870 + -4/347. Let c(s) be the third derivative