*m**2 wrt m?
-14
Let a(k) be the third derivative of -k**6/24 + k**4/4 - 8*k**2. Find the second derivative of a(p) wrt p.
-30*p
Let q = 24 - 2. Find the second derivative of 24 - 46 + q + 7*m - 2*m**4 wrt m.
-24*m**2
Let f(d) be the third derivative of d**6/90 + d**5/24 + d**4/24 - 5*d**2. Let z(t) be the second derivative of f(t). Differentiate z(s) wrt s.
8
Let u(b) = 27*b**2 - 7*b - 65. Let i(j) = 13*j**2 - 3*j - 32. Let x(n) = 7*i(n) - 3*u(n). Differentiate x(v) with respect to v.
20*v
Let t(q) be the first derivative of 3*q**6/40 + q**5/12 - 7*q**2/2 + 1. Let j(o) be the second derivative of t(o). What is the third derivative of j(d) wrt d?
54
Find the second derivative of 8 + 40*j**5 + 15 - 6*j - 20 - 10*j**5 wrt j.
600*j**3
Let g(j) be the second derivative of 2*j**7/105 + j**4/12 - 5*j**2/2 - 4*j. Let l(s) be the first derivative of g(s). Find the second derivative of l(o) wrt o.
48*o**2
Let b(w) be the third derivative of 0*w**6 + 0 + 0*w**3 - 1/12*w**4 + 3*w**2 + 0*w**5 + 1/48*w**8 + 0*w + 0*w**7. What is the second derivative of b(x) wrt x?
140*x**3
Let n(i) = -2*i + 3*i - 4 + 10. Let j be n(-4). Differentiate h - j*h + 1 - 3*h**2 + h wrt h.
-6*h
Find the second derivative of 2*v + 2*v**3 + 48 - 48 wrt v.
12*v
Find the second derivative of -2*t - 7864*t**2 + 3*t**5 - t + 2 + 7864*t**2 wrt t.
60*t**3
Let a(d) = d - 1. Let m(z) = -30*z + 11. Let x(u) = 4*a(u) + m(u). What is the derivative of x(s) wrt s?
-26
Suppose -2*s + 12 = -2*a, 5*s = a - 0*a + 26. What is the second derivative of -3*b + 4*b + 2*b**s + b wrt b?
40*b**3
Suppose -34 = -4*n + 18. Suppose 3*b - 2*y - n = -6*y, 4*b = 5*y + 7. What is the third derivative of -2*r**5 + 0*r**5 - b*r**2 - r**5 + 0*r**2 wrt r?
-180*r**2
Let x(d) be the second derivative of -d**5/20 - d**4/8 + d**2 - d. Let m(r) be the first derivative of x(r). Find the second derivative of m(y) wrt y.
-6
Let r(g) = g**2 + 11*g. Let q be r(-11). Let u(c) be the first derivative of q*c**2 + 3/4*c**4 + 2*c + 0*c**3 - 4. Differentiate u(n) wrt n.
9*n**2
Let t(q) be the third derivative of 0*q + 0 - 11/24*q**4 + 0*q**3 + 5/168*q**8 + 0*q**5 + 0*q**7 + 7*q**2 + 0*q**6. Find the second derivative of t(m) wrt m.
200*m**3
Let w(r) be the third derivative of r**4/4 - r**3/6 - 3*r**2. Let c(g) = g. Let o(f) = 15*c(f) - 3*w(f). Find the first derivative of o(p) wrt p.
-3
Let h(f) be the third derivative of -f**8/1680 - f**6/120 - f**3/3 + 2*f**2. Let x(a) be the first derivative of h(a). Find the third derivative of x(d) wrt d.
-24*d
Let f(a) be the third derivative of 19*a**4/24 + 11*a**3/3 - a**2. What is the first derivative of f(b) wrt b?
19
Let d(x) be the second derivative of x**7/280 + x**4/8 + x**3/6 + x. Let i(b) be the second derivative of d(b). Differentiate i(c) with respect to c.
9*c**2
Let y(r) = r**2 + 4*r + 1. Let z be y(-3). Let g be 2 + z + -3 + 9. What is the third derivative of 0*j**2 - j**g + 4*j**6 - 3*j**2 wrt j?
360*j**3
Suppose 3*p = -0*p + 15. Let k(d) = 9*d**4 - 6*d**2 + 11. Let v(a) = 8*a**4 - 5*a**2 + 10. Let q(h) = p*k(h) - 6*v(h). What is the derivative of q(j) wrt j?
-12*j**3
Let u(p) be the first derivative of p**5/10 + p**2/2 + p + 2. Let n(b) be the first derivative of u(b). Differentiate n(k) with respect to k.
6*k**2
Let d(g) = -33*g - 23. Let z(w) = -16*w - 11. Let s(f) = 6*d(f) - 13*z(f). Differentiate s(x) wrt x.
10
Suppose -6 = -2*h - 2. Let j(p) be the second derivative of 0*p**4 + 1/20*p**5 + 1/3*p**3 + 0*p**h + 0 - 3*p. What is the second derivative of j(x) wrt x?
6*x
Let d(m) = m**6 - m**4 + m**2 + 1. Let n(w) = 5*w**6 + 6*w**4 - 34*w**2 - 6. Let g(o) = 6*d(o) + n(o). What is the third derivative of g(u) wrt u?
1320*u**3
Suppose 3*o - 5 = 1. Let f(p) be the third derivative of 0 - p**o - 1/12*p**4 + 0*p + 1/3*p**3. Differentiate f(m) with respect to m.
-2
Let h(l) be the first derivative of l**7/42 - l**5/60 - 3*l**2 - 4. Let q(j) be the second derivative of h(j). What is the third derivative of q(m) wrt m?
120*m
Let t(m) = 18*m**4 + 2*m**3 - 2*m - 28. Let l(u) = -73*u**4 - 9*u**3 + 9*u + 111. Let h(s) = -2*l(s) - 9*t(s). What is the first derivative of h(w) wrt w?
-64*w**3
Let p = 1 + 3. Suppose 5*i + y - 5 = 0, 4*i - 3*y = -5*y + 10. Find the second derivative of i*t + p*t - t**2 - 2*t + 0*t wrt t.
-2
Let j(x) = 6*x**6 + 4*x**3 + 14*x**2 + 4*x. Let q(n) = 5*n**6 + 3*n**3 + 13*n**2 + 3*n. Let w(a) = 3*j(a) - 4*q(a). What is the third derivative of w(k) wrt k?
-240*k**3
Suppose -4*y + 3 + 5 = 0. Find the second derivative of f**2 - 3*f - f**2 + y*f**5 wrt f.
40*f**3
Suppose -3*j + 8 = j, -5*v = 2*j - 24. Suppose -2*b + v = -2. Find the second derivative of 0*y**3 + y + b*y**3 - 5*y**3 wrt y.
-12*y
Suppose q - 5 = -1. Let h(z) be the second derivative of 3*z - 1/4*z**q + 0*z**3 + 0 - z**2. Find the first derivative of h(l) wrt l.
-6*l
Let u(c) be the second derivative of 0*c**4 + 0*c**5 + 0*c**2 - c - 1/15*c**6 + 0 - 2/3*c**3. Find the second derivative of u(h) wrt h.
-24*h**2
Suppose 6 = 6*z - 6. Let x(m) = -4*m**5 - 3*m**3 + 2*m + 3. Let k(c) = -c**3 + 1. Let v(h) = z*x(h) - 6*k(h). What is the second derivative of v(t) wrt t?
-160*t**3
Let t(m) = m**3 + 7*m**2 - 7*m + 11. Let w be t(-8). Differentiate 2*n + n + w - 9*n with respect to n.
-6
Let m(u) be the second derivative of -4*u**4 - 47*u**3/6 + 2*u + 17. Find the second derivative of m(x) wrt x.
-96
Let d(b) be the third derivative of -2*b**7/15 - b**4/8 + 15*b**2. Find the second derivative of d(p) wrt p.
-336*p**2
Let x(b) be the second derivative of -2*b**6/15 + 5*b**2 + 10*b. Differentiate x(g) wrt g.
-16*g**3
Let t = 2 - 6. Let p = -2 - t. Differentiate -p*s - s + s + 1 wrt s.
-2
Let v(x) be the first derivative of -7*x**4/4 - 2*x**3/3 + 4. What is the third derivative of v(q) wrt q?
-42
Let d(u) be the second derivative of 1/3*u**3 + u**2 + u + 0. What is the first derivative of d(r) wrt r?
2
What is the second derivative of -36*s + 2*s**2 + 18 - 17 + 3*s**5 - 13*s**4 - 2*s**2 wrt s?
60*s**3 - 156*s**2
What is the third derivative of z**4 - 8*z**4 - 5*z**4 - 7*z**2 - 8*z**4 wrt z?
-480*z
Let l(x) be the second derivative of -x**9/3024 + x**6/180 - x**3/3 - x. Let k(s) be the second derivative of l(s). Find the third derivative of k(r) wrt r.
-60*r**2
Find the second derivative of -w**2 - 5*w**2 + 16*w**2 - w - 12*w wrt w.
20
Suppose -2 + 14 = 4*s. What is the second derivative of 25*w**3 - 6*w + 2*w - 22*w**s wrt w?
18*w
Let d(p) be the first derivative of 0*p**3 - 3/4*p**4 + 0*p + 2*p**2 - 3. Find the second derivative of d(q) wrt q.
-18*q
Find the second derivative of -y**2 + 3*y - 9*y + 0*y + 7*y**2 wrt y.
12
Let o(z) be the second derivative of -z**10/15120 + z**6/360 + z**4/6 + 2*z. Let s(b) be the third derivative of o(b). Find the second derivative of s(i) wrt i.
-40*i**3
Let c be 8/(-30)*(-5)/2. Let u(r) be the first derivative of r + 0*r**2 + c*r**3 - 2. What is the derivative of u(q) wrt q?
4*q
Suppose -o + 2*t = 6*t - 15, -6 = 2*o - 4*t. Suppose -4*h + 12 = 0, 7*h - 3*h - 13 = -v. Differentiate q**3 + 3 - v + q**o with respect to q.
6*q**2
Let w(t) = -t**3 - t + 1. Let u(q) = -3*q**5 + 6*q**3 + 2*q**2 + 6*q - 6. Let o(m) = -u(m) - 6*w(m). Find the third derivative of o(g) wrt g.
180*g**2
What is the third derivative of -8*y**2 + 7*y**6 + 58*y**5 - 58*y**5 wrt y?
840*y**3
Suppose 9 = 4*d - 3. Find the third derivative of 6*y**2 - 4*y**2 - 6*y**d + 2*y**2 wrt y.
-36
Let w(d) = 36*d**2 + 6*d - 5. Let s(i) = 54*i**2 + 9*i - 7. Let r(k) = -5*s(k) + 7*w(k). What is the second derivative of r(p) wrt p?
-36
Let d(w) = -6 - 5 - 12*w + 24*w - w**2 + 2*w**2. Let f be d(-13). What is the third derivative of 0*v**4 - 4*v**f + 0*v**4 - 2*v**4 + 3*v**4 wrt v?
24*v
Let o(k) = k**4 + 2*k**3 + 2*k**2 + 7. Let i(b) = -3*b**4 - 5*b**3 - 5*b**2 - 15. Let d(w) = 2*i(w) + 5*o(w). Find the first derivative of d(c) wrt c.
-4*c**3
Find the third derivative of c**5 - 2*c**2 - 3*c**5 - 3*c**5 wrt c.
-300*c**2
What is the first derivative of -3*x**4 - 7 + 18 + 9*x**4 wrt x?
24*x**3
Find the second derivative of -23*h**2 + 15*h + 18*h - 35*h wrt h.
-46
Suppose -9 = -4*c + 2*c - 3*m, -5*m + 15 = 5*c. Let f = -20 - -24. Differentiate c*t**4 + 4 - 3*t**f + 1 - 3 with respect to t.
-12*t**3
Suppose s + 15 = 4*s, 3*r = 4*s - 14. 