- 5*q**2/2 + 4*q. Let l(v) be the first derivative of c(v). Find the third derivative of l(w) wrt w.
240*w**2
Let p(b) = 9*b**3 - 13*b**2 - 2*b - 2. Let o(s) = -19*s**3 + 27*s**2 + 5*s + 5. Let j(g) = -2*o(g) - 5*p(g). What is the third derivative of j(a) wrt a?
-42
Let l = 497/5 + -99. Let w(r) be the first derivative of -1/2*r**2 + 0*r + 0*r**4 + 0*r**3 - 3 - l*r**5. Find the second derivative of w(g) wrt g.
-24*g**2
Let h(o) = -o - o**2 - 1 + 2*o**2 + 2. Let n(s) = 6*s**3 - 2*s**2 + s - 2. Let j(x) = 2*h(x) + n(x). What is the second derivative of j(z) wrt z?
36*z
Suppose 24 = -3*m - 2*q, -7 = m - 3*q + 1. Let c = -3 - m. What is the third derivative of -5*w**c + 5*w**5 - 2*w**5 - 3*w**2 wrt w?
-120*w**2
Let o be (-1)/3 + (-120)/(-36). Find the first derivative of -3 + o + 158*h + 6 - 154*h wrt h.
4
Let k(j) be the third derivative of 19*j**5/60 + 13*j**4/12 - j**2. What is the second derivative of k(x) wrt x?
38
Let i be (4/(-10))/((-9)/270). Differentiate i + h**4 - 13 - 2*h**4 wrt h.
-4*h**3
What is the derivative of 0*o + 4*o - 7*o - 3*o + 11 wrt o?
-6
Let d = 20 + 1. Find the third derivative of -32*v**3 + v**2 + 7*v**2 + d*v**3 wrt v.
-66
What is the second derivative of -d**2 + d**2 + 4*d + 2*d + 2*d**4 wrt d?
24*d**2
Let y(m) be the second derivative of -4*m**3/3 + 4*m**2 + 8*m. What is the first derivative of y(b) wrt b?
-8
Let a(t) be the second derivative of t**8/560 - t**6/120 + t**3/3 + 3*t. Let l(n) be the second derivative of a(n). What is the third derivative of l(d) wrt d?
72*d
Find the first derivative of -2 + 8 - 2 - 8*j**4 wrt j.
-32*j**3
Let j(o) be the second derivative of -3*o**4/4 - o**2 + o. What is the first derivative of j(x) wrt x?
-18*x
Let u(a) = -a - 6. Let w be u(-8). What is the second derivative of 5*g**3 - 2*g**3 - 3*g - w*g wrt g?
18*g
Let h(g) = -8*g**2 + 2*g + 3. Let j(i) = -9*i**2 + 3*i + 4. Let x(f) = 3*h(f) - 2*j(f). What is the derivative of x(k) wrt k?
-12*k
Let g(o) = 17*o**2 + 9*o. Let z(q) = 17*q**2 + 8*q. Let m(h) = 4*g(h) - 5*z(h). Find the second derivative of m(n) wrt n.
-34
Let v = 17 + -11. Let u(t) = t**3 - 4*t**2 - 9*t + 8. Let r be u(v). What is the derivative of p**4 - 1 + r*p**2 - 26*p**2 wrt p?
4*p**3
Let i(l) = -l**3 - 8*l**2 + 8*l - 6. Let a be i(-9). Let p(b) be the first derivative of 1 + 1/3*b**a + 0*b**2 + 4*b. Differentiate p(s) wrt s.
2*s
Let k(c) be the third derivative of 17*c**7/210 + 23*c**5/60 - 33*c**2. Find the third derivative of k(n) wrt n.
408*n
Let j(q) be the third derivative of q**4/24 - q**3/3 + 3*q**2. Let c be j(5). Find the first derivative of 4 - 2*n**c - n**3 - 1 wrt n.
-9*n**2
Let z(f) = -f**6 + f**2 - 1. Let k(j) = -2. Let t(h) = -5*k(h) + 10*z(h). Find the third derivative of t(c) wrt c.
-1200*c**3
Let i(k) = 3*k**3 - 8*k**2 - 28. Let f(x) = -2*x**3 + 5*x**2 + 19. Let l(j) = -8*f(j) - 5*i(j). Find the first derivative of l(h) wrt h.
3*h**2
Let d(j) = j**2 + 8*j + 2. Let b be d(-8). What is the third derivative of b*m**2 - 5*m**2 - 2*m**2 - m**4 wrt m?
-24*m
Let h(k) be the second derivative of -k**4/12 - 5*k**3/6 + 4*k**2 - 2*k. Let t be h(-6). What is the third derivative of -5*x**5 - 3*x**2 + x**t + 4*x**5 wrt x?
-60*x**2
Let k = 3 - 0. Suppose -3*u + 14 - 2 = 0. Differentiate k + 3 - u - b wrt b.
-1
Let l(k) = -19*k**3 + 52*k**2 + 9. Let h(o) = -5*o**3 + 13*o**2 + 2. Let q(n) = -9*h(n) + 2*l(n). What is the third derivative of q(s) wrt s?
42
Let p(h) be the first derivative of 6*h**5/5 + 10*h + 7. What is the first derivative of p(a) wrt a?
24*a**3
Let x(o) be the second derivative of -1/5*o**5 + 0*o**2 + 0*o**3 - 1/12*o**4 + 3*o + 0. What is the third derivative of x(s) wrt s?
-24
Let y(w) be the second derivative of 1/12*w**4 + 0 - 4*w + 0*w**2 + 0*w**3 + 1/4*w**5. What is the third derivative of y(q) wrt q?
30
Suppose -4*k = -0*k - 12. Find the third derivative of 2*i**3 + 2*i**2 + i**k + 2*i**2 wrt i.
18
Let j(b) be the third derivative of -b**5/20 + b**4/3 - b**3/6 - 7*b**2. Let h(z) be the first derivative of j(z). Differentiate h(k) with respect to k.
-6
Differentiate 5*m**4 + 6*m - 8*m**4 - 51 + 5 wrt m.
-12*m**3 + 6
Let t = -16 + 20. Find the third derivative of 5*o**4 - 7*o**4 - 2*o**t + 2*o**2 wrt o.
-96*o
Suppose 4*w - 5*z + 2 = -3, 5*w - 2 = -2*z. Suppose 0 = 2*s - w*s - 8. What is the derivative of 1 + v**s - 4*v**3 + 4*v**3 wrt v?
4*v**3
Let y(n) = 26*n**4 - 3*n**2 + 15*n + 3. Let z(f) = 51*f**4 - 5*f**2 + 29*f + 5. Let h(t) = -5*y(t) + 3*z(t). Find the second derivative of h(i) wrt i.
276*i**2
Let p(i) be the first derivative of -i**4/3 + 5*i**3/6 - 2*i + 1. Let x(c) be the first derivative of p(c). What is the second derivative of x(o) wrt o?
-8
Let r be (-2)/(1*-4 + 3). Let b be (-1 - 0)*(1 - r). What is the first derivative of -8*i**2 + b + 5*i**2 + 4*i**2 wrt i?
2*i
Let g(d) be the first derivative of d**2 - 2*d - 3*d**2 - 4*d + 2*d - 3. Differentiate g(x) wrt x.
-4
Let y(q) = -q**2 - 1. Let z = -2 + 3. Let h(l) = 3*l**2 - 3*l - 2. Let s(v) = z*h(v) - 2*y(v). Find the second derivative of s(x) wrt x.
10
Suppose -5*n + 7 + 18 = 0. Let l(i) = 7*i**2 - 4. Let s(c) = 8*c**2 - 5. Let d(f) = n*s(f) - 6*l(f). What is the derivative of d(k) wrt k?
-4*k
Find the second derivative of -7*s + 0*s + 42*s**2 + 28*s - 10*s**2 wrt s.
64
Find the second derivative of -f**3 + 8*f**3 + 7*f**3 + 10*f wrt f.
84*f
Let l(g) = 3*g**4 - 4*g - 6. Let p(o) = -7*o**4 + 7*o + 13. Let k(d) = 7*l(d) + 4*p(d). What is the derivative of k(u) wrt u?
-28*u**3
What is the second derivative of -6*q - 43*q**5 + 44*q**5 - 26*q**5 wrt q?
-500*q**3
Let m be 1/(2*2/(-24)). Let p be (-10)/15*m/2. Find the second derivative of w**2 - 2*w + 0*w**2 - 4*w**p + 0*w**2 wrt w.
-6
Let g(b) = -b**2 - 5*b + 8. Let j be g(-6). Let q(h) be the second derivative of 0 + h**2 - j*h + 1/6*h**3. Find the first derivative of q(x) wrt x.
1
Suppose -j - 2*s + 9 = 4*j, s = 2*j. Let g be 0/(-2) - (-2)/j. Find the first derivative of 2*r**g - 1 + 2 - 5*r**2 wrt r.
-6*r
Let v(n) be the first derivative of n**6/72 - 7*n**4/24 + n**3/3 + 1. Let h(l) be the third derivative of v(l). Find the first derivative of h(y) wrt y.
10*y
Let m(s) be the second derivative of -s**8/3360 - s**5/12 + s**4/4 - s. Let h(v) be the third derivative of m(v). Differentiate h(d) wrt d.
-6*d**2
Let a(r) = 27*r**4 + 15*r**2 - 39*r - 15. Let n(z) = z**4 - z**2 + 1. Let v(y) = -a(y) - 15*n(y). Find the second derivative of v(l) wrt l.
-504*l**2
Suppose 2*a - 22 = -0*a. Find the third derivative of a*v**6 - 2*v**2 - 19*v**6 - 2*v**2 wrt v.
-960*v**3
Let m(z) be the third derivative of 0 + 0*z**4 + 1/6*z**3 - 1/60*z**6 - 2*z**2 + 0*z + 0*z**5. Differentiate m(l) with respect to l.
-6*l**2
Find the second derivative of 54 - 5*k - 21*k**2 - 54 wrt k.
-42
Let f(m) be the second derivative of m**5/5 - 7*m**3/3 - m. What is the second derivative of f(k) wrt k?
24*k
Let t(w) = -w - 6. Let f be t(-8). Suppose f = 4*n - 6. What is the second derivative of -6*x**4 - 3*x + n*x + 3*x**4 - 3*x wrt x?
-36*x**2
Suppose o - 2*o - 2*j = -2, -j = 2*o - 7. Suppose -p + 3 = 2*w - o*w, -3*p = w - 9. Find the third derivative of -r**3 - r**2 - r**2 + 0*r**p wrt r.
-6
Suppose -5*h - 4 = -14. Let v = 0 + h. Differentiate -v + u**3 + 3 - 2 wrt u.
3*u**2
Suppose 5*f - 2*h - 11 + 1 = 0, 0 = -3*f - 3*h + 6. Find the second derivative of 3*n**5 + n**5 + n**2 - n**f - 5*n wrt n.
80*n**3
Let j(m) = -m**4 - 3*m. Let b(f) = 7*f + 2*f**4 + 0*f + 1 + f. Let x(p) = -3*b(p) - 8*j(p). What is the derivative of x(c) wrt c?
8*c**3
What is the second derivative of 0*a**4 - 9*a**4 + 3*a - 2*a**2 + 2*a**2 wrt a?
-108*a**2
Let o = -3 + 7. Suppose -2*a = -2*s - 0 - o, a + 4*s = 2. What is the second derivative of -2*j + 0*j + j**3 - a*j**3 wrt j?
-6*j
Let b(y) = -4*y**3 - 4*y - 8. Let f(r) = 4*r**3 + 3*r + 7. Let p = 0 + 4. Let a(l) = p*f(l) + 3*b(l). Differentiate a(z) wrt z.
12*z**2
Let v(a) be the third derivative of a**5/60 + 3*a**4/8 - 4*a**3/3 + 3*a**2. Let h be v(-10). Differentiate -4 + w + 3 + h wrt w.
1
Let y(p) be the third derivative of 0*p**4 + 0*p**6 + 2*p**2 + 0*p**7 + 0*p + 0 + 1/336*p**8 + 0*p**3 - 1/60*p**5. Find the third derivative of y(z) wrt z.
60*z**2
Let r(d) be the second derivative of -3*d**8/28 - 7*d**4/12 - 16*d. What is the third deriva