5*c**2/2 + 2. Let f(p) be the second derivative of r(p). What is the third derivative of f(v) wrt v?
120*v
Suppose -1 = -r + 1, q = r - 2. Suppose q = -2*k - 2 + 8. Find the third derivative of 0*h - k*h**3 - 2*h**2 + 3*h**2 + 0*h wrt h.
-18
Let v(c) be the second derivative of -3*c**4/2 - 3*c**2/2 - 17*c. What is the first derivative of v(o) wrt o?
-36*o
Let f(h) be the third derivative of 11*h**7/210 - h**5/15 + 11*h**2. Find the third derivative of f(b) wrt b.
264*b
Let n be (0 - (-2)/4) + 9/(-27). Let d(o) be the third derivative of 3*o**2 + 0*o - n*o**3 + 0 + 1/6*o**4. Find the first derivative of d(x) wrt x.
4
Let x(u) be the first derivative of -3*u**5/5 + 5*u + 7. Differentiate x(t) with respect to t.
-12*t**3
Differentiate 7*l**2 + 0*l**2 - 44 + 37 with respect to l.
14*l
Let j(s) = 6*s**2 + 7. Let g(h) = 5*h**2 + 8. Let b(k) = 5*g(k) - 6*j(k). Differentiate b(r) wrt r.
-22*r
Suppose 0 = -4*h + c + 10, h + 10 = 2*h - 4*c. What is the first derivative of -2 - 18*n + 18*n - 3*n**h wrt n?
-6*n
Let k(z) be the second derivative of z**5/4 + z**4/6 - 7*z. What is the third derivative of k(v) wrt v?
30
Let d(y) be the third derivative of 34*y**7/105 + y**5/12 + y**3/2 - 4*y**2 + 5. Find the third derivative of d(q) wrt q.
1632*q
Let m(q) be the third derivative of q**5/40 - q**4/24 - q**3/6 + q**2. Let l(t) be the first derivative of m(t). Differentiate l(a) wrt a.
3
Differentiate -41 - 2*j**2 - 634*j + 630*j - 12 - j**2 wrt j.
-6*j - 4
Let n(s) be the first derivative of -5*s**2 + 33*s - 37. Differentiate n(w) wrt w.
-10
Find the third derivative of -1 + 8*o**2 - 124*o**6 + 3 + 77*o**6 wrt o.
-5640*o**3
Suppose -5 = -y - 3. What is the third derivative of h**3 - 5*h**3 + 4*h**y + h**3 - h**3 wrt h?
-24
Let k(o) be the third derivative of 7*o**4/24 - 59*o**3/6 + 4*o**2 - 5. What is the first derivative of k(t) wrt t?
7
What is the third derivative of -6*a + 280*a**5 - 139*a**5 - 142*a**5 + 5*a**2 - 2*a**3 wrt a?
-60*a**2 - 12
Suppose -2*o + 4*z = -0*o - 14, 3*o - 19 = 4*z. Let k(m) = -m**2 - 3*m + 3. Let t be k(-3). Find the first derivative of t*b**3 + o - 2*b**3 - 3 wrt b.
3*b**2
Find the third derivative of 8*v**3 + 4*v**2 - 2*v**3 + 24 - 24 wrt v.
36
What is the third derivative of 7*k**2 - 2*k**3 - 3*k**3 - k**3 + 0*k**3 wrt k?
-36
Let i = 3 + 2. What is the third derivative of -2*y**2 - 4*y**2 - 2*y**5 - 5*y**i + 9*y**2 wrt y?
-420*y**2
Let d be (5/(-6))/(20/(-12)). Let p(k) be the second derivative of -3/20*k**5 - k + 0 - d*k**3 + 0*k**2 + 0*k**4. Find the second derivative of p(u) wrt u.
-18*u
Let s(n) be the first derivative of 1/6*n**6 + 0*n**4 + 0*n**5 + 4 + 0*n**2 + 4/3*n**3 + 0*n. Find the third derivative of s(v) wrt v.
60*v**2
Let v(q) be the second derivative of q**6/6 - q**2 - 9*q. What is the first derivative of v(i) wrt i?
20*i**3
Suppose 3*q - 18 = -2*n, -4*q + 10 = 2. What is the third derivative of -3*r**n - 2*r**2 + 2*r**6 + 0*r**6 wrt r?
-120*r**3
What is the third derivative of -11*t**4 + 0 + t**2 + 0 wrt t?
-264*t
Find the third derivative of -2*l**2 + 4*l**2 + 0*l**5 + 9*l**6 + 0*l**5 wrt l.
1080*l**3
Find the third derivative of -11 - 3*d**2 - 9*d**6 + 11 wrt d.
-1080*d**3
Let r = -13 + 17. Let v(x) be the first derivative of -1/2*x**r - x**2 + 0*x - 2 + 0*x**3. What is the second derivative of v(q) wrt q?
-12*q
Let v(t) = -12*t**4 + 9*t**3 - 40*t - 9. Let l(w) = -3*w**4 + 2*w**3 - 10*w - 2. Let m(c) = 9*l(c) - 2*v(c). What is the second derivative of m(z) wrt z?
-36*z**2
Let c(k) be the third derivative of 0*k**7 + 0 + 2*k**2 + 0*k + 1/8*k**4 + 0*k**3 + 0*k**5 + 0*k**6 + 1/112*k**8. Find the second derivative of c(m) wrt m.
60*m**3
Let k(i) be the second derivative of i**3/2 + i**2 + 6*i. Find the first derivative of k(h) wrt h.
3
Suppose -5*r - 5 = -5*o + 3*o, 0 = o + 2*r - 7. What is the third derivative of 5*m**2 + 4*m**5 + 3*m**o - 4*m**5 - 2*m**5 wrt m?
60*m**2
Let y(z) be the third derivative of -z**2 + 1/20*z**5 + 0*z**4 + 1/336*z**8 + 0 + 0*z + 0*z**3 + 0*z**7 + 0*z**6. What is the third derivative of y(g) wrt g?
60*g**2
Let x(d) = 15*d**2 - 10. Let c(n) = 15*n**2 - 11. Let f(i) = -2*c(i) + 3*x(i). Find the first derivative of f(q) wrt q.
30*q
Find the second derivative of 5*w**3 + 6*w - w - 2*w**3 - w**3 wrt w.
12*w
What is the derivative of -5 + 7*n**3 - 2 - 1 wrt n?
21*n**2
Let f be -2 - (3 + (-9)/1). Suppose 4*p = f*t, 1 + 3 = -4*t + 5*p. What is the second derivative of -6*v + t*v - 2*v**2 + 3*v**2 wrt v?
2
Find the third derivative of -3*j**3 + 21 + 8*j**2 - 15 - 6 wrt j.
-18
What is the third derivative of -7*l - 24*l**3 + 9*l + 24*l**3 + 34*l**2 + 44*l**4 wrt l?
1056*l
Suppose 5*r + 27 = -4*t, -24 = 5*r + t + 2*t. Let h(y) = -3*y - 2. Let p be h(r). What is the derivative of p*m**2 - 7*m**2 - 1 - 2*m**4 wrt m?
-8*m**3
Let g = -2 - -5. Let o(n) = 3*n - 4. Let m be o(3). What is the second derivative of -8 + 8 - l**m + g*l wrt l?
-20*l**3
Let n(i) be the third derivative of 5*i**7/21 + i**4/3 + 59*i**2. Find the second derivative of n(g) wrt g.
600*g**2
Let i(v) = v**3 + v**2. Let x(q) = -4*q**3 + 8*q**2 + 4*q - 2. Let o(h) = 5*i(h) - x(h). Find the second derivative of o(p) wrt p.
54*p - 6
Let j(t) be the first derivative of -5*t**3/3 - t**2 + 5*t + 5. Let q(x) = 26*x**2 + 11*x - 25. Let y(p) = -11*j(p) - 2*q(p). Differentiate y(a) wrt a.
6*a
Suppose -5*g + 3*g = 2. Let p be g*(-3)/(-3) + 3. What is the derivative of 2*k**p + 0 + 1 + k**2 + 2 wrt k?
6*k
Let q(o) be the first derivative of -o**4/2 + 6*o**3 - 15. Find the third derivative of q(x) wrt x.
-12
Let g(p) = 5*p**4 + 7*p**2 + 7*p - 4. Let u be 7/3 + 6/9. Let f(h) = -h**4 - h**4 + 1 + 1 - 3*h**2 - 3*h. Let n(a) = u*g(a) + 7*f(a). Differentiate n(b) wrt b.
4*b**3
Let f(s) be the first derivative of -s**6/40 - 2*s**3/3 + 3*s**2/2 + 4. Let y(q) be the second derivative of f(q). Differentiate y(u) wrt u.
-9*u**2
Let d(t) be the second derivative of t**5/2 - 3*t**2 + 2*t. Differentiate d(b) with respect to b.
30*b**2
Suppose 0*n - 3*n = -12. Suppose 4*o - 2 - 10 = 0. What is the second derivative of -n*d**3 + 0*d + d**o - d + 0*d wrt d?
-18*d
Let q be 1 + (-5)/(2 + -1). Let w(u) = u**3 + 4*u**2 - u. Let t be w(q). What is the second derivative of 2*k**4 + 2*k**5 - 2*k**t + 3*k - 2*k wrt k?
40*k**3
Suppose 3 = -3*g + 15, 3*r + 2*g - 29 = 0. Differentiate -3 - r*a**4 + 3*a**4 - 1 with respect to a.
-16*a**3
Let w(n) be the first derivative of -3*n**4/2 + 2*n**3 + 9. What is the third derivative of w(y) wrt y?
-36
Suppose 0 = 9*r - 6*r - 9. Let o(g) be the second derivative of -1/4*g**4 + 0 + 0*g**2 + 2*g - 1/6*g**r. Find the second derivative of o(h) wrt h.
-6
Find the third derivative of 293*s**3 - 293*s**3 + 4*s**5 - 11*s**2 wrt s.
240*s**2
Let m(z) be the second derivative of z**9/1008 + z**5/15 + z**3/6 - 8*z. Let g(f) be the second derivative of m(f). Find the second derivative of g(t) wrt t.
60*t**3
Let a(r) be the first derivative of -7*r**3 + 21*r**2/2 - 23. What is the second derivative of a(g) wrt g?
-42
Let m(p) = -16*p**2 + 15*p - 2. Let c(j) = -49*j**2 + 45*j - 7. Let k(q) = -2*c(q) + 7*m(q). What is the second derivative of k(w) wrt w?
-28
Find the third derivative of -27*n**4 - 8*n**5 + 5*n + 18*n**5 - 6*n**2 - 8*n**5 wrt n.
120*n**2 - 648*n
Let i(d) = 7*d**3 - d**2 - 5*d - 5. Let s = 0 - -5. Let l(u) = 3*u**3 - u**2 - 2*u - 2. Let n(p) = s*l(p) - 2*i(p). Find the third derivative of n(f) wrt f.
6
Let c(y) = 4*y + 7. Let u = 24 - 35. Let j(o) = -8*o - 13. Let h(x) = u*c(x) - 6*j(x). Differentiate h(g) with respect to g.
4
Let h(a) be the second derivative of -a**7/840 - a**5/40 - a**3/6 - 2*a. Let d(w) be the second derivative of h(w). What is the second derivative of d(m) wrt m?
-6*m
Suppose -5*n + n + 5*v + 26 = 0, -3*n + 20 = -4*v. What is the derivative of -29*w**3 - 3 + 5 + 26*w**3 + n wrt w?
-9*w**2
Let a(q) = q - 2. Let b be a(6). What is the first derivative of -r**4 + 4*r**4 - 2 + r**4 - r**b wrt r?
12*r**3
Let r(h) = -16*h**2 - 8*h. Let m(o) = -33*o**2 - 15*o. Let c(q) = 2*m(q) - 5*r(q). What is the second derivative of c(t) wrt t?
28
What is the second derivative of -18*g - 267*g**4 - g + 287*g**4 wrt g?
240*g**2
Let s(o) be the first derivative of o**6/15 + o**4/6 + 7*o - 5. Let c(f) be the first derivative of s(f). 