5*a**3 wrt a.
-12*a
Let q(y) be the second derivative of 3*y**5/2 - 13*y**3/2 - 45*y. Find the second derivative of q(m) wrt m.
180*m
Let o(f) = -8*f**3 - 3*f**2 - 5*f - 36. Let t(z) = z**3 + z**2 + z. Let y(u) = o(u) + 5*t(u). Differentiate y(c) with respect to c.
-9*c**2 + 4*c
Let c(x) be the first derivative of -2*x**2 - 4/5*x**5 + 0*x**4 + 4 + 0*x**3 + 0*x. What is the second derivative of c(w) wrt w?
-48*w**2
Let j(x) be the third derivative of 11*x**7/70 - 31*x**3/6 - 13*x**2. What is the derivative of j(f) wrt f?
132*f**3
What is the second derivative of -30*z - 5*z**3 + 35*z - z**3 wrt z?
-36*z
Let o(c) be the third derivative of c**8/1680 - c**4/6 + c**3/6 + c**2. Let x(b) be the first derivative of o(b). Differentiate x(g) wrt g.
4*g**3
Find the second derivative of 12*o**3 + 2*o**2 + 2*o**2 - 4*o**2 + 6*o wrt o.
72*o
Let c(r) be the second derivative of r**7/7 + r**4/6 - 7*r. Find the third derivative of c(w) wrt w.
360*w**2
Let t(d) = -4*d**2 + 48*d. Let c(u) = u**3 - u**2 + u. Let q(f) = 3*c(f) - t(f). What is the second derivative of q(m) wrt m?
18*m + 2
Let h(r) = -1 - 2*r + 0*r - 3*r**3 + 6*r + 5 + 3*r**2. Let k(c) = c**3 + c + 1. Let n(v) = h(v) - 4*k(v). Find the third derivative of n(p) wrt p.
-42
Suppose -5*c + 7 = -3. Let p(n) be the first derivative of 0*n**2 + c*n + 2/3*n**3 + 2. Differentiate p(v) wrt v.
4*v
Let y(d) be the third derivative of -d**8/112 + d**6/120 + 7*d**4/8 + d**3/3 - 3*d**2 - 7. What is the second derivative of y(s) wrt s?
-60*s**3 + 6*s
Let s = -5 + 7. Let j(u) be the third derivative of 0*u**6 - 1/210*u**7 + 1/60*u**5 + 0*u**4 - u**s + 0*u + 0 + 0*u**3. Find the third derivative of j(r) wrt r.
-24*r
What is the third derivative of 5*f**2 - f**2 - 3*f**2 + 4*f**2 + 12*f**5 wrt f?
720*f**2
Let p be (-5)/20 - (-17)/4. Suppose y - 3*n - 1 = n, -2*y - 3*n + 13 = 0. What is the second derivative of 4*v - 2*v**y - 6*v + p*v**5 wrt v?
40*v**3
Let b(i) = -i - 3. Let c be b(-6). Differentiate 0 + c - 2*h + h + 5*h with respect to h.
4
Let i(h) = h**3 - 4*h**2 - 3*h - 4. Let q be i(5). What is the third derivative of 1 - 1 + s**q + 4*s**2 - 2*s**2 wrt s?
120*s**3
Let q(r) be the third derivative of r**7/15 - 3*r**3/2 + 4*r**2. Differentiate q(u) with respect to u.
56*u**3
What is the third derivative of -6*x**5 + 10*x**2 - 6*x**5 + 4*x**5 + 4*x**2 wrt x?
-480*x**2
Let i(y) be the second derivative of 0 - y + 0*y**3 + 0*y**4 + 3/20*y**5 + 1/2*y**2. Differentiate i(r) with respect to r.
9*r**2
What is the third derivative of -2*i**3 + 27*i**2 + 329*i - 329*i - 27*i**3 wrt i?
-174
Let l(m) be the second derivative of m**7/7 + 25*m**4/12 - 20*m. Find the third derivative of l(f) wrt f.
360*f**2
Let y be 4 + (-12)/(-3) + -6. Find the third derivative of -27*h**y + 3*h**6 + 22*h**2 - 11*h**6 wrt h.
-960*h**3
Let l = 19 - 9. Let g be 4/l - 24/(-15). What is the third derivative of -3*w**4 + 3*w**g + 0*w**4 + 4*w**4 wrt w?
24*w
Let b be (-2)/(-6) + 2/3. Suppose -5*p = -3*t - b - 8, 3*t = 2*p. What is the third derivative of c**2 - 8*c**2 - t*c**3 + 5*c**2 wrt c?
-12
Find the second derivative of 24*y - 16 + 11*y**3 - 19 + 35 wrt y.
66*y
Let j(v) be the first derivative of v**7/840 - v**6/72 - 2*v**3/3 + 5. Let y(i) be the third derivative of j(i). Find the third derivative of y(k) wrt k.
6
Let p(l) be the second derivative of -11*l**5/20 + 7*l**2 - 5*l. What is the first derivative of p(s) wrt s?
-33*s**2
Let r(d) = d - 3. Suppose 0 = 5*y - 30 - 10. Let h = 4 - y. Let c(n) = -1. Let u(o) = h*c(o) + r(o). Differentiate u(j) with respect to j.
1
Let y = 6 + -12. Let o(q) = q**2 + q + 1. Let k(g) = g**2 + 2*g + 3. Let x(s) = y*o(s) + 3*k(s). Find the first derivative of x(h) wrt h.
-6*h
Suppose 0 = -d - 0*d + 3. Differentiate -a**3 - 114 + 108 + 4*a**d wrt a.
9*a**2
Find the third derivative of 3 - 3 - 4*u**6 + 15*u**2 - 55*u**2 wrt u.
-480*u**3
Let d = -106 + 157. Find the second derivative of -a**2 + 5*a**4 + a**2 + 56*a - d*a wrt a.
60*a**2
Let a(r) be the third derivative of r**5/30 - 3*r**3/2 + 23*r**2. Differentiate a(z) wrt z.
4*z
Suppose -t + 19 = 11. Let j be (-6)/(-2) - (-2 - -3). What is the second derivative of 4*q**2 - t*q**j + 3*q**2 - q wrt q?
-2
What is the third derivative of -4*w**2 - 7*w**4 - 2*w**2 + 11*w**2 + 0*w**4 wrt w?
-168*w
Let g(z) be the first derivative of -5*z**4/4 + 8*z - 4. What is the derivative of g(k) wrt k?
-15*k**2
Let w(f) be the third derivative of 19*f**6/120 + 11*f**5/30 + 27*f**2. What is the third derivative of w(y) wrt y?
114
What is the second derivative of 19*o + 2*o**2 - 13*o**2 - 26*o wrt o?
-22
Let w(h) be the second derivative of h**7/21 + h**3/2 - 3*h. Find the second derivative of w(y) wrt y.
40*y**3
Let k(o) = -7*o**4 + 3*o**3 + 4. Let x(g) = -7*g**4 + 2*g**3 + 3. Let d(b) = -2*k(b) + 3*x(b). Differentiate d(u) wrt u.
-28*u**3
Let x(j) = 4*j**3 + j**2. Suppose -h - 2*h = -6. Let z(i) = -i**2. Let s(q) = h*z(q) - x(q). Find the third derivative of s(a) wrt a.
-24
Let f(s) be the third derivative of -s**5/40 - 5*s**4/24 - 2*s**3/3 + 5*s**2. Let t(l) be the first derivative of f(l). Differentiate t(r) with respect to r.
-3
Suppose -6 = 5*g + 2*s, -4*g + g + 2*s = 10. Let z be 1/(1/g*-1). Find the third derivative of 2*w**z - 3*w**2 + 0*w**2 - 2*w**4 wrt w.
-48*w
Let j(p) be the third derivative of 1/12*p**4 + 0*p**5 + 0*p + 0 + 0*p**3 + 0*p**6 + 5/336*p**8 + 0*p**7 + 5*p**2. Find the second derivative of j(b) wrt b.
100*b**3
Suppose j + 14 = 4*d, 3*j + 15 = 4*d - d. Let l = 1 - -1. Find the third derivative of 4*v**3 - 3 + d - v**l wrt v.
24
Let z(n) = n**2 + n. Let s(t) be the first derivative of -2*t**3/3 - 3*t**2/2 - 3. Let i(y) = 2*s(y) + 2*z(y). What is the second derivative of i(h) wrt h?
-4
Let a(s) be the second derivative of 5*s**7/21 + 3*s**4/4 + s. Find the third derivative of a(h) wrt h.
600*h**2
Let z(j) = -10*j**2 - 12*j + 7. Let i(f) = 7*f**2 + 8*f - 5. Let m(r) = -7*i(r) - 5*z(r). What is the second derivative of m(x) wrt x?
2
Suppose 2*l = 3*l - 3. Find the second derivative of 3*r**3 - 4*r**l + r + 2*r - 2*r**3 wrt r.
-18*r
Suppose -34 = -5*w - 9. What is the third derivative of -3*v**2 + 4*v**4 + w*v**4 - 7*v**4 + 5*v**2 wrt v?
48*v
What is the second derivative of -2*b**5 + 22*b - 4*b - 4*b**5 - 6*b**5 wrt b?
-240*b**3
Let t(a) be the third derivative of 0*a**6 + 0*a**3 + 0*a**7 + 0*a**5 + 3*a**2 + 0 + 1/12*a**4 - 1/168*a**8 + 0*a. What is the second derivative of t(l) wrt l?
-40*l**3
Let c = 32 - 26. Let j(u) = u + 2. Let b be j(0). What is the derivative of -o**4 + c - 3 - 4 + b*o**4 wrt o?
4*o**3
Let c(g) be the third derivative of -13*g**6/120 - 5*g**3/6 + 5*g**2. Differentiate c(a) wrt a.
-39*a**2
Find the first derivative of -29*n**2 + 15*n**2 + 12*n**2 - 7 + 13*n**2 wrt n.
22*n
Find the second derivative of -16*t**3 + 890 + 17*t - 890 wrt t.
-96*t
Suppose -3 = 5*f - 18, 13 = 2*r + f. Let a(u) = u**2 - 6*u + 7. Let i be a(r). Differentiate -2*m**3 - i + 0*m**3 + 0 wrt m.
-6*m**2
Suppose -3*t = 4*v - 4, 2*v - 5*v + 10 = 4*t. Differentiate t + q**2 - 2*q**2 - 3*q**2 with respect to q.
-8*q
Suppose -6*a + 7*a = 0. What is the derivative of -3 + c + a*c + 2*c + 0 wrt c?
3
Let z = 7 - 6. Let m(o) be the first derivative of 1/2*o**4 + z + 0*o + 0*o**2 + 1/3*o**3. What is the third derivative of m(k) wrt k?
12
Let m be (-21)/(-6) + -3 + (-3)/9. Let z(b) be the third derivative of 0*b**3 + 0*b + m*b**4 + 0 + 1/15*b**5 - 2*b**2. Find the second derivative of z(y) wrt y.
8
Let v(d) be the third derivative of 1/4*d**4 + 0 - 1/6*d**3 + 0*d + 4*d**2. What is the derivative of v(o) wrt o?
6
Let y(u) be the first derivative of u**2 - 6*u - 1. Let t be y(4). Find the first derivative of -2 + t*p**2 - 4*p + 4*p wrt p.
4*p
Let c = 2 - -3. Let b(f) = f**2 - 2*f - 1. Let j(p) = -2*p**2 + 5*p + 2. Let v = -6 + 8. Let t(k) = c*b(k) + v*j(k). Find the first derivative of t(m) wrt m.
2*m
Let n be (2 - 2)/(0 + -1). Suppose 5*y - 3*v - 6 = -0, n = 2*y - 2*v. What is the second derivative of -3*m**2 - m - y + 3 wrt m?
-6
Let j(g) = -8*g**6 - 15*g**2 - 7. Let d(q) = 8*q**6 + 15*q**2 + 6. Let y(z) = 7*d(z) + 6*j(z). What is the third derivative of y(w) wrt w?
960*w**3
Let f(v) be the second derivative of -v**9/504 - v**5/15 + v**2/2 + v. Let l(c) be the first derivativ