ith respect to q.
1
Find the third derivative of d**3 + 5*d**3 + 2*d**2 - 3*d**3 wrt d.
18
Let a = 6 + -4. Suppose -4*d + 5*m + 18 = 0, -11 = -5*d + m + 1. Find the first derivative of d - 3*i**3 + 2*i**3 - a + 2 wrt i.
-3*i**2
Let d(b) be the first derivative of 0*b - 4/3*b**3 + 0*b**2 + 0*b**5 + 0*b**4 - 7/6*b**6 + 4. What is the third derivative of d(h) wrt h?
-420*h**2
Let v(h) be the second derivative of -1/3*h**3 - h + 3/20*h**5 + 0*h**4 + 0*h**2 + 0. Find the second derivative of v(d) wrt d.
18*d
Suppose 0 = 4*z - 5*z. Suppose -5 = -2*k - 1. What is the third derivative of z*d**k - 2*d**5 + 2*d**2 - 4*d**2 wrt d?
-120*d**2
Find the second derivative of 1 + 7*h - 11*h**3 + 12*h**3 - 1 wrt h.
6*h
Let z(f) be the second derivative of f**9/168 - f**5/30 - 5*f**2/2 - f. Let a(w) be the first derivative of z(w). What is the third derivative of a(q) wrt q?
360*q**3
Suppose -5*o = -2*o. Let r(y) = -y - 1. Let p be r(-3). Find the third derivative of -n**5 + o*n**5 + p*n**2 - 6*n**5 + 4*n**5 wrt n.
-180*n**2
Suppose -3*x + 5*z - 6 + 33 = 0, 4*z = x - 16. Suppose -x*a = -a. Differentiate a*t + 3*t - 2 - t wrt t.
2
Let o(p) be the first derivative of p**5/30 - p**4/24 + 4*p**3/3 + 6. Let m(a) be the third derivative of o(a). What is the derivative of m(n) wrt n?
4
Suppose 2*y - 5 = 5*x - 3*y, 3*x + 4*y = 18. Find the third derivative of -h**2 + 4 - 4 - h**4 + x*h**2 wrt h.
-24*h
Let x(q) = -q**2 + 9. Let t be x(-3). Let l(n) be the second derivative of 1/2*n**3 + n + 0 + t*n**2 + 1/12*n**4. Find the second derivative of l(f) wrt f.
2
Let l(a) = 11*a**4 - 2*a**3 + 2*a + 9. Let z(v) = -23*v**4 + 5*v**3 - 5*v - 19. Let d(s) = 5*l(s) + 2*z(s). Differentiate d(p) wrt p.
36*p**3
Let z be 12/3 - 7 - -8. Let p(d) be the third derivative of 0*d - 1/40*d**6 + 0*d**3 + 0 - d**2 + 0*d**z - 1/8*d**4. Find the second derivative of p(i) wrt i.
-18*i
Let o(u) = -41*u**2 - 12*u + 137. Let z(h) = -10*h**2 - 3*h + 34. Let a(b) = 2*o(b) - 9*z(b). What is the first derivative of a(i) wrt i?
16*i + 3
Suppose 3*s + s = 3*z + 42, s + 3*z - 18 = 0. Suppose s = -3*c, 7*x = 3*x - c + 4. Find the second derivative of u + 0*u**x + 2*u**2 + 0*u**2 wrt u.
4
Let q(y) be the third derivative of -3*y**2 - 5/336*y**8 - 1/24*y**4 + 0 + 0*y**6 + 0*y + 0*y**5 + 0*y**3 + 0*y**7. Find the second derivative of q(j) wrt j.
-100*j**3
Let m(y) be the first derivative of -5*y**4/2 + 9*y + 4. What is the first derivative of m(s) wrt s?
-30*s**2
Let p = 21 + -19. What is the derivative of k - p - 4*k + 3*k + 8*k**3 wrt k?
24*k**2
Let d(t) = -16*t**3 + 5*t**2 + 3*t - 56. Let x(o) = 17*o**3 - 6*o**2 - 4*o + 57. Let p(n) = -6*d(n) - 5*x(n). Find the first derivative of p(r) wrt r.
33*r**2 + 2
Suppose 0 = 2*a + 3 - 9. Find the second derivative of c**3 + a*c + c - 3*c - 2*c wrt c.
6*c
Let k be (-1)/((2/3)/(-2)). Let r = -9 - -12. Find the second derivative of 2*y**k - y - 4*y**3 + 4*y**r wrt y.
12*y
What is the derivative of 1540*t**3 + 3*t**4 - 5 - 1540*t**3 + 0*t**4 wrt t?
12*t**3
Let t = -24 - -31. Find the third derivative of -2*s**2 + 7*s**4 + s**2 - t*s**2 wrt s.
168*s
Let t(g) = -32*g + 11. Let k(n) = 11*n - 4. Suppose -a = -2*a - 6. Let u(r) = a*t(r) - 17*k(r). What is the derivative of u(m) wrt m?
5
Let o(b) be the second derivative of b**7/1260 + b**6/360 - b**4/6 + 4*b. Let q(x) be the third derivative of o(x). Find the second derivative of q(c) wrt c.
4
Let u(h) be the first derivative of -2*h**3 + 3*h**2 - 10. What is the second derivative of u(x) wrt x?
-12
Let z = 6 + -6. Let j(y) be the second derivative of -1/12*y**4 + 0*y**5 + 0 + z*y**3 - 1/15*y**6 - y + 0*y**2. Find the third derivative of j(l) wrt l.
-48*l
Let r = 3 - 4. Let y(v) = -2*v**3 - 5*v**2 + 6*v - 5. Let b(a) = a**3 + a**2 - a + 1. Let i(h) = r*y(h) - 5*b(h). Find the second derivative of i(t) wrt t.
-18*t
Let i(a) = -2*a + 4. Let o be i(7). Let p be o/4*54/(-15). What is the third derivative of p*z**2 - 5*z**2 + 3*z**5 - z**2 wrt z?
180*z**2
Suppose 5*o + 1 = 16. Find the first derivative of -7*v**4 + 6*v**3 + 8 - 6*v**o wrt v.
-28*v**3
Let z = -2 + 0. Let p be (-3)/z - (-1)/2. Find the third derivative of -a**2 + a**p - a**2 + 2*a**3 wrt a.
12
Let n(k) be the first derivative of 3*k**5/20 - 3*k**2/2 + 3*k + 1. Let j(b) be the first derivative of n(b). What is the derivative of j(s) wrt s?
9*s**2
Let n(g) be the first derivative of -4*g**7/7 - 8*g**3/3 + 12. What is the third derivative of n(p) wrt p?
-480*p**3
Suppose 0 = -2*w + c + 2*c + 12, c + 4 = -5*w. Find the second derivative of 8*g**5 + 0*g**5 - g**5 + g + w*g**5 wrt g.
140*g**3
Suppose -4*y = 2*c - 52, 8*y - 65 = 5*y + 5*c. Let l be ((-9)/y)/(1/(-5)). Find the second derivative of v**2 - l + 3 + 2*v wrt v.
2
Let l(g) be the second derivative of -g**9/3024 + g**5/24 - g**4/6 - g. Let k(y) be the third derivative of l(y). Differentiate k(m) wrt m.
-20*m**3
Let l(t) be the first derivative of 4*t**6/3 + 2*t**3/3 + 4. What is the third derivative of l(d) wrt d?
480*d**2
Let d(g) = -13*g**4 - 3*g**2 - 4*g - 3. Let x(q) = 12*q**4 + 4*q**2 + 4*q + 4. Let o(i) = 4*d(i) + 3*x(i). What is the second derivative of o(p) wrt p?
-192*p**2
Let r(f) = -5*f**3 + 5*f**2 - 6*f. Let a(m) = -15*m**3 + 15*m**2 - 17*m. Let h(w) = 6*a(w) - 17*r(w). What is the third derivative of h(v) wrt v?
-30
Let o(c) be the first derivative of -7*c**6/6 - 5*c**3/3 - 7. Find the third derivative of o(d) wrt d.
-420*d**2
Let t(m) be the second derivative of -3*m**8/56 - 5*m**4/12 - 3*m. Find the third derivative of t(g) wrt g.
-360*g**3
Find the third derivative of -6*s**2 - 4*s**5 - 8*s + 22*s**5 + 8*s wrt s.
1080*s**2
Let u(l) be the third derivative of -l**6/120 + 53*l**3/6 + 2*l**2 + 23*l. Differentiate u(p) with respect to p.
-3*p**2
Let o(w) = w**5 + w**4 - w**3 + w - 1. Let v(i) = 22*i**5 + 3*i**4 - 3*i**3 + 10*i - 3. Let y(s) = -6*o(s) + 2*v(s). Find the second derivative of y(t) wrt t.
760*t**3
Suppose k - 8 = -5*y + 20, -5 = -y. Suppose 0*n - 8 = -k*n - 4*f, -13 = -2*n + 5*f. What is the derivative of -n*o**3 + 6*o**3 - 1 + 0*o**3 wrt o?
6*o**2
Let s(n) be the first derivative of 3*n**5/5 - 15*n + 5. Find the first derivative of s(y) wrt y.
12*y**3
Let q(u) be the first derivative of -22*u**7/7 - 7*u**3/3 - 20. What is the third derivative of q(g) wrt g?
-2640*g**3
Let g(l) = -l**2 - 5*l. Let b be g(-5). Suppose -4*y + 4 = v, -2*v = -b*v - 2*y - 8. Find the third derivative of 0*u**2 - v*u**6 - 3*u**2 + 2*u**6 wrt u.
-240*u**3
Find the second derivative of 6*g**3 - 3*g**3 - 2*g - g wrt g.
18*g
Let x(d) be the second derivative of 3*d**3/2 - 12*d**2 - 51*d. Differentiate x(o) with respect to o.
9
Let u(f) = f**3 - 4. Let b(g) = g + 1. Suppose 3*m + 14 = n, -5*n + 2 = -2*n - m. Let o(i) = n*u(i) - 4*b(i). What is the second derivative of o(k) wrt k?
-6*k
Suppose 2*w = 4*w - 6. Differentiate 0 + 3 + 6 - w - 5*v**3 wrt v.
-15*v**2
Let c(w) = -7*w**4 + 3*w**2 + 3*w + 32. Let a(n) = 8*n**4 - 2*n**2 - 2*n - 31. Let k(b) = -3*a(b) - 2*c(b). Differentiate k(o) with respect to o.
-40*o**3
Let j(f) be the second derivative of f**4/6 - 11*f**3/6 - 13*f**2 + 6*f + 1. Find the first derivative of j(x) wrt x.
4*x - 11
Find the first derivative of 30*j**2 - 37*j**2 - 5 - 1 wrt j.
-14*j
Let m(c) = -8*c**2 - 5*c + 2. Let h(t) = -33*t**2 - 20*t + 9. Suppose g - 2 = 2*g. Let j(b) = g*h(b) + 9*m(b). What is the second derivative of j(l) wrt l?
-12
Let h(r) = -18*r**6 + r**5 - 30*r**2 + 1. Let d(j) = -j**6 + j**5 - j**2 + 1. Let y(t) = d(t) - h(t). What is the third derivative of y(a) wrt a?
2040*a**3
Let n(z) be the third derivative of z**6/60 + z**4/6 - 6*z**2. Find the second derivative of n(i) wrt i.
12*i
Let q(t) be the third derivative of -1/8*t**4 + 0 - 2*t**2 + 0*t + 1/3*t**3. What is the first derivative of q(x) wrt x?
-3
Suppose -p + 8 = 3*p. Find the second derivative of -4*o**4 + 4*o**4 - 5*o + 4*o**5 - p*o**5 wrt o.
40*o**3
Let l be 0 + 0 + -1 + 9. Let r = l - 6. Find the second derivative of r*c**2 + 0*c**2 - c + 2*c wrt c.
4
Let i(s) = 3*s**2 - s - 2. Let j = 46 + -31. Let y(c) = 7*c**2 - 2*c - 5. Let g(x) = j*i(x) - 6*y(x). What is the second derivative of g(f) wrt f?
6
Let s(v) be the third derivative of v**7/504 + v**5/24 + v**4/8 + 4*v**2. Let m(u) be the second derivative of s(u). W