4/4 - 3*r**2/2 + 4. Find the second derivative of c(m) wrt m.
-42*m
Let y(m) be the second derivative of -4*m + 0*m**4 - 1/6*m**3 + 0*m**2 + 0 + 7/20*m**5. Find the second derivative of y(k) wrt k.
42*k
Let l(m) = m**5 - m**4 + m**2 - m. Suppose 0 = a - 1. Let f(q) = 4*q**5 - q**4 + 2*q**2 - q. Let h(r) = a*l(r) - f(r). Find the third derivative of h(v) wrt v.
-180*v**2
Let t(g) = g**2 - 3*g - 1. Let d be t(4). Suppose 0 = -2*u + u + d*c - 4, u - 8 = -3*c. Differentiate 6*a**4 - 3*a**4 - 4*a**4 - u with respect to a.
-4*a**3
Suppose 0 = 3*f - 4 - 5. What is the second derivative of z**2 - 3*z + z - f*z**2 wrt z?
-4
Find the second derivative of 7*g - 5*g**3 + g**3 + 3*g**3 + g wrt g.
-6*g
Suppose -7*b + b = -12. Let u(q) be the third derivative of 1/12*q**4 + 0 + 0*q - 1/6*q**3 + 2*q**b. Differentiate u(a) wrt a.
2
What is the third derivative of -28*c**5 - 2*c**2 + 55*c**5 - 27*c**5 - 26*c**6 wrt c?
-3120*c**3
Let r = 49/26 + -5/13. Let v(q) be the first derivative of -3*q + 1 + r*q**2. What is the first derivative of v(b) wrt b?
3
Let c(y) be the third derivative of y**8/48 + y**5/20 + 4*y**2. What is the third derivative of c(m) wrt m?
420*m**2
Let n = -31 + 36. Let s(u) be the first derivative of 0*u + 2/5*u**n + 1/3*u**3 + 0*u**4 + 0*u**2 - 2. What is the third derivative of s(r) wrt r?
48*r
Let j(g) be the second derivative of g**5/5 - 3*g**2/2 - 5*g. Differentiate j(u) wrt u.
12*u**2
Let m(h) = -41*h**2 + 4*h + 5. Let a(g) = 82*g**2 - 7*g - 11. Let d(f) = 6*a(f) + 13*m(f). What is the second derivative of d(l) wrt l?
-82
Suppose -31 = -0*w - 3*w - 5*t, 0 = -3*w + 4*t - 14. What is the derivative of -u + 2*u - 2*u - w + 0*u wrt u?
-1
Let q(g) be the second derivative of g**6/10 + 7*g**3/6 - 5*g. Find the second derivative of q(k) wrt k.
36*k**2
Let f(t) = -9*t**3 + 6*t**2 + 3*t + 3. Let r(y) = 46*y**3 - 30*y**2 - 16*y - 16. Let i(b) = -16*f(b) - 3*r(b). Find the third derivative of i(n) wrt n.
36
Let w = 8 - 6. Suppose 2*p + 2*j = 12, -4*p + 4*j - 3 = -j. What is the third derivative of x**2 + x**p - x**w - x**2 wrt x?
6
Let h(u) = 4*u**4 + u**2 - 3*u + 3. Let y(d) = 16*d**4 + 5*d**2 - 13*d + 13. Let s(j) = -26*h(j) + 6*y(j). Find the third derivative of s(m) wrt m.
-192*m
Let k(j) be the first derivative of 0*j**2 + 2 + 1/2*j**4 - j + 0*j**3. Differentiate k(i) with respect to i.
6*i**2
Let v(a) be the second derivative of -a**7/210 + a**5/120 + a**3/2 - 2*a. Let y(f) be the second derivative of v(f). Find the second derivative of y(u) wrt u.
-24*u
Let u(j) = j + 1. Let g be -2*(-2)/2*-3. Let q(m) = m**3 + 3*m + 1. Let d(l) = g*u(l) + 2*q(l). Differentiate d(c) wrt c.
6*c**2
Find the first derivative of -8*h**3 + 6 + 6 + 4 + 25*h**3 wrt h.
51*h**2
Let t = 44 + -24. Suppose -4*b - 3*r + t = 0, -2*r = -3*b + 7 + 8. Differentiate -b*p**3 + 1 + 3*p**3 - 2 with respect to p.
-6*p**2
Let m(u) be the third derivative of -5*u**8/56 - 13*u**5/60 + 15*u**2. What is the third derivative of m(g) wrt g?
-1800*g**2
Let a = 44 - 40. Let s(r) be the third derivative of -1/15*r**5 + 0 + 0*r + r**2 + 0*r**3 - 1/8*r**a. Find the second derivative of s(w) wrt w.
-8
Let s(o) = 8*o. Let h(f) be the first derivative of f**3/3 - 9*f**2/2 + 5. Let j(b) = 3*h(b) + 4*s(b). Find the second derivative of j(t) wrt t.
6
Let v(w) = -2*w**4 - 2*w**3 - 4. Suppose 0 = 2*u - 3*u - 2. Let x(h) = 4*h**4 + 5*h**3 + 9. Let f(y) = u*x(y) - 5*v(y). Differentiate f(s) with respect to s.
8*s**3
Suppose 3*g - 2*u + u = 19, 0 = -g + 4*u + 10. What is the third derivative of 2*k**2 + k**g + 17*k**5 - 17*k**5 wrt k?
120*k**3
Let v(y) be the first derivative of y**7/120 - y**5/20 - 4*y**3/3 - 3. Let p(r) be the third derivative of v(r). Find the second derivative of p(u) wrt u.
42*u
Suppose -8*t = -4*t - 16. Find the first derivative of s**3 + 4 - t*s**3 + 0*s**2 + 0*s**2 wrt s.
-9*s**2
Let i(l) be the first derivative of -1 + 0*l**4 + 0*l**5 + 0*l + 0*l**2 + 1/3*l**6 + 2*l**3. What is the third derivative of i(z) wrt z?
120*z**2
Let p(g) be the third derivative of -7*g**5/12 - 43*g**4/24 - 23*g**2. Find the second derivative of p(v) wrt v.
-70
Let a(f) be the second derivative of -3*f**6/10 + 5*f**3/3 + 8*f. What is the second derivative of a(r) wrt r?
-108*r**2
Let f(n) be the third derivative of -n**7/10 - 5*n**4/3 - 7*n**2. What is the second derivative of f(o) wrt o?
-252*o**2
Let k = -12 + 16. What is the derivative of 0 + 0*w**4 - k + w**4 wrt w?
4*w**3
Let a(m) be the first derivative of 0*m**4 + 0*m**3 + 0*m + 3/5*m**5 - 3 - 2*m**2. What is the second derivative of a(x) wrt x?
36*x**2
Let j(p) be the third derivative of -3*p**5/20 - 11*p**3/6 - 7*p**2. What is the derivative of j(y) wrt y?
-18*y
Let w(z) be the third derivative of -z**6/15 + z**3/6 + 5*z**2. What is the derivative of w(l) wrt l?
-24*l**2
Suppose 4*t - s = 72, 4*t + 5*s - 37 = 35. Suppose 0 = -4*o - 0*b + 2*b + 6, o - t = -5*b. Find the second derivative of -o*n**5 - 2*n + n - 2*n wrt n.
-60*n**3
Differentiate 2*f**4 - 2*f + 2*f + 3 - 17*f**4 wrt f.
-60*f**3
Let w be (4/10)/((35/25)/7). Let s(c) be the second derivative of 1/2*c**3 - 3/2*c**w + 0 + c. Differentiate s(h) with respect to h.
3
Suppose -21 = -4*h - 1, 0 = -5*p + 4*h + 270. What is the second derivative of -58*n**2 + p*n**2 + 6*n**3 + 7*n wrt n?
36*n
Suppose -w = 5*t - 23, 4*t = 3*w - 0 + 7. Find the second derivative of -4*q + 5*q - q**w - 5*q wrt q.
-6*q
Let d(m) = m**2 - 1. Suppose -4*h = -3 - 1. Let n(k) = 2*k + 8*k**2 - 3 - 1 - 2. Let t(y) = h*n(y) - 6*d(y). Find the second derivative of t(g) wrt g.
4
Suppose 2*t - 4 = -2*t. Let c = 0 + 4. Find the first derivative of t - 3*h**4 + h**c + h**4 wrt h.
-4*h**3
Let d(w) be the third derivative of -11*w**5/12 + 8*w**3/3 + 40*w**2 - 2. What is the first derivative of d(v) wrt v?
-110*v
Suppose -3*q + 36 = q. Let c = -7 + q. Find the third derivative of -2*z**4 - 3*z**2 - z**2 + 3*z**c wrt z.
-48*z
Let k be ((-1)/(-3))/(3/36). What is the third derivative of -s**6 - 3*s**2 + 4*s**k - 4*s**4 + s**2 wrt s?
-120*s**3
Let h(s) be the third derivative of 4*s**2 + 1/15*s**6 + 0*s + 0*s**4 + 4/3*s**3 + 0*s**5 + 0. Differentiate h(g) with respect to g.
24*g**2
Let k(t) = -5*t**4 - 4*t**3 - 7*t**2. Let i(f) = f**4 - f**3 - f**2. Let r(h) = -4*i(h) + k(h). What is the third derivative of r(u) wrt u?
-216*u
Let g(m) = 19*m**4 - 6*m**3 - 6*m**2 + 21*m + 6. Let r(t) = -t**4 + t**3 + t**2 - t - 1. Let w(j) = -g(j) - 6*r(j). What is the second derivative of w(b) wrt b?
-156*b**2
Differentiate -6*y**4 + 0*y**3 - 5 + 0*y**3 + 9 wrt y.
-24*y**3
What is the third derivative of -7*z**5 + 105*z**2 - 71*z**2 - z**5 wrt z?
-480*z**2
Let i(y) = -y**2 - y + 6. Let k be i(0). Suppose 0 = 5*g - 2*g - k. What is the second derivative of 3*l**4 + 0*l**g - l + 0*l**2 wrt l?
36*l**2
Let n(w) = -4*w + 7. Let o be n(5). Let g = o - -18. Find the first derivative of g + 0 - 4 + i wrt i.
1
What is the third derivative of -4*d**2 - d**2 - 7*d**4 + 28*d**4 - 14*d**4 wrt d?
168*d
Let y(l) be the third derivative of -l**8/840 - l**5/120 + l**3/3 - 2*l**2. Let j(p) be the first derivative of y(p). Find the second derivative of j(h) wrt h.
-24*h**2
What is the third derivative of 26*q**6 - 16*q**6 - 8*q**2 - 22*q**6 wrt q?
-1440*q**3
Let s(k) be the third derivative of -5*k**8/42 + 7*k**4/12 - 16*k**2. What is the second derivative of s(a) wrt a?
-800*a**3
Let k(v) be the third derivative of -v**7/70 - 7*v**5/60 - v**2. Find the third derivative of k(o) wrt o.
-72*o
Suppose 3*o - 15 = -2*o. What is the second derivative of -6*c + c**3 - c**3 + 6*c**o wrt c?
36*c
Let y(l) = -1 - 1 + 3. Suppose 0 = c - 5 + 4. Let k(g) = -g**2 + 3. Let b(u) = c*k(u) - y(u). Differentiate b(a) wrt a.
-2*a
Find the first derivative of -4*t**4 - 13 + 14*t**4 + 6*t**4 + 5 wrt t.
64*t**3
Let g(n) = -5*n**4 - 3*n**3 - 3*n + 1. Let a(v) = -9*v**4 - 5*v**3 - 5*v + 2. Suppose 6 = -4*d + 2*d. Let w(q) = d*a(q) + 5*g(q). Differentiate w(r) wrt r.
8*r**3
Let v be 4/6*(-18)/(-6). Find the first derivative of -t - 2*t - t + t + v wrt t.
-3
Let t(h) be the third derivative of 5*h**4/12 - 4*h**3/3 - 5*h**2. Differentiate t(j) wrt j.
10
Let y(z) = z**3 - 4*z**2 + 5*z - 4. Let p be y(3). Find the third derivative of -p*d**4 + 4*d**2 + 2*d**4 - 3*d**6 wrt d.
-360*d**3
Let s