4
Find the third derivative of 6*o**2 + 12*o**6 + 2*o**6 + 6*o**2 + 2*o**6 wrt o.
1920*o**3
Let g(k) = -k**3 - 4*k**2 + 3. Let h be g(-4). Suppose 3*j - 6 = -h, 15 = 2*w + 5*j. Differentiate 5*f**2 + 1 - 2*f**4 - w*f**2 + 2 with respect to f.
-8*f**3
Let i(d) be the second derivative of -d**5/20 + 3*d**2/2 + 6*d. What is the derivative of i(j) wrt j?
-3*j**2
Let k = 3 - 8. Let w = k - -10. Find the second derivative of -3*f - f**w - 4*f**5 + 3*f**5 wrt f.
-40*f**3
Let x(z) be the second derivative of -3*z**5/20 - z**3 - 9*z. What is the second derivative of x(c) wrt c?
-18*c
Let u(s) = 20*s**4 - 17*s**3 + 17*s - 47. Let w(d) = -7*d**4 + 6*d**3 - 6*d + 16. Let c(n) = -6*u(n) - 17*w(n). Differentiate c(a) with respect to a.
-4*a**3
Let v(d) = 2*d**3 + 11*d - 6. Let f(q) be the first derivative of -q**4/4 - q**2/2 + q + 7. Let m(a) = 6*f(a) + v(a). Find the second derivative of m(o) wrt o.
-24*o
Suppose -2*z + 6*z = -i - 17, -25 = 5*z. Let l(r) be the third derivative of 0*r + 0*r**5 - 1/120*r**6 - r**2 + 1/6*r**i + 0 + 0*r**4. Differentiate l(v) wrt v.
-3*v**2
Let k(u) = -3*u**3 - 5*u**2 - 3. Suppose 5*n = 12 + 43. Let j = 6 - n. Let h(r) = -2*r**3 - 4*r**2 - 3. Let d(f) = j*h(f) + 4*k(f). Differentiate d(x) wrt x.
-6*x**2
Let g(y) be the first derivative of -13*y**5/5 - 2*y + 3. Find the first derivative of g(o) wrt o.
-52*o**3
Suppose 4*r - 4 = 12. What is the first derivative of 5*g**r + g - 3 - g - 2*g**4 wrt g?
12*g**3
Let i(a) = -a**6 + a**4 + a**3. Let l(b) = -20*b**6 + 16*b**4 + 16*b**3 - 4*b**2. Let w(t) = 16*i(t) - l(t). What is the third derivative of w(q) wrt q?
480*q**3
Let l(p) be the second derivative of 0 + 0*p**3 - p + 0*p**2 + 3/56*p**8 + 0*p**6 + 1/3*p**4 + 0*p**7 + 0*p**5. What is the third derivative of l(u) wrt u?
360*u**3
Let s = 76/9 - 70/9. Let o(f) be the first derivative of 0*f + 0*f**5 - f**3 - 1 - s*f**6 + 0*f**4 + 0*f**2. What is the third derivative of o(h) wrt h?
-240*h**2
Let v(b) = -2 - b + 3 + 0 - 2. Let w be v(-4). What is the first derivative of -t**w + 3*t**3 - t**4 - 2*t**3 + 2 wrt t?
-4*t**3
Let j(m) = -m**4 - m**3 + m**2 + m + 1. Let d(v) = -v**4 + v**3 - v**2 - v. Let f(x) = -d(x) - j(x). Differentiate f(c) with respect to c.
8*c**3
What is the third derivative of -38*a**2 - 147*a**5 + 35*a**6 + 147*a**5 wrt a?
4200*a**3
Let a = 17 - 15. Let l(v) be the second derivative of 0*v**5 + 0*v**4 + 1/2*v**2 + 1/15*v**6 + a*v + 0 + 0*v**3. Differentiate l(c) wrt c.
8*c**3
Let n(z) be the third derivative of -z**7/42 + 2*z**3 - 9*z**2. What is the first derivative of n(u) wrt u?
-20*u**3
Let h(t) = -t**2 - 7*t + 4. Let c be h(-6). Let u be (-3)/12 + c/8. What is the first derivative of 2*v**2 + u + 1 + 0 wrt v?
4*v
What is the derivative of d**4 - 33 - 5*d**4 + 9 wrt d?
-16*d**3
Let o(l) = -l**3 + 6*l**2 + 7*l + 2. Let t be o(7). Find the first derivative of -6 + 7 - t*r**2 - 3 wrt r.
-4*r
Let g(v) be the second derivative of -7*v**6/5 + 17*v**4/6 - 57*v. What is the third derivative of g(x) wrt x?
-1008*x
Let p(x) = -7*x**5 - 3*x**3 + 3*x**2 - 17*x - 3. Let g(i) = i**5 - i**3 + i**2 + i - 1. Let a(b) = -3*g(b) + p(b). Find the second derivative of a(y) wrt y.
-200*y**3
Let o(i) = 6*i**6 + 4*i**5 - 4*i**4 + 5*i**2 + 4. Let t(q) = q**6 - q**5 + q**4 + q**2 - 1. Let n(m) = -o(m) - 4*t(m). Find the third derivative of n(b) wrt b.
-1200*b**3
Let u = -2 - -4. What is the second derivative of 4*b**2 + 4*b - 3*b + b**u wrt b?
10
Let l(o) = -o + 1. Let v be l(7). Let g be (1/2)/((-1)/v). What is the third derivative of -4*d**2 + g*d**2 + d**4 - 2*d**4 wrt d?
-24*d
Let j = -5 + 8. Suppose 0 = 2*y + 2*r - 12, -y + 8 = j*r - 6. Find the second derivative of 3*m + m**4 - 3*m**4 - y*m wrt m.
-24*m**2
Let f(k) be the first derivative of -k**4/6 - 3*k**2/2 + 3*k + 2. Let w(g) be the first derivative of f(g). What is the first derivative of w(y) wrt y?
-4*y
Let a(l) be the first derivative of -2*l**5 - 17*l + 4. What is the first derivative of a(d) wrt d?
-40*d**3
Suppose 3*l - 12 = -4*q, 0*l = 4*l. Let r be 0/(4*q/6). What is the third derivative of r*d**2 - d**6 + 2*d**6 + d**2 wrt d?
120*d**3
Let k be (0 - -2)/2 + 2. Let p(m) be the second derivative of 1/3*m**k + m + 0 + 1/2*m**2. What is the derivative of p(c) wrt c?
2
Let o(l) be the second derivative of -2*l**7/21 - 2*l**4/3 - 5*l. What is the third derivative of o(j) wrt j?
-240*j**2
Let d(m) be the third derivative of m**7/42 + m**5/6 - 2*m**2. Find the third derivative of d(b) wrt b.
120*b
Let i = 60 - 60. Let a(t) be the first derivative of 0*t**5 + 0*t**4 + 3 + i*t**3 - 1/3*t**6 + 0*t + 1/2*t**2. What is the second derivative of a(o) wrt o?
-40*o**3
Suppose m + 4*m - 15 = 0. Let a(w) be the second derivative of 1/10*w**5 + 0*w**2 + 0 - 1/6*w**m + 0*w**4 - w. Find the second derivative of a(j) wrt j.
12*j
Let t(r) be the third derivative of -5*r**8/168 - 19*r**5/60 + 13*r**2. What is the third derivative of t(h) wrt h?
-600*h**2
Let w(u) be the third derivative of -u**6/6 + 13*u**4/12 - 12*u**2. Find the second derivative of w(i) wrt i.
-120*i
Let d(i) = 2*i**2 - 2*i - 6. Let s(t) = 1. Suppose -30 = -x + 6*x. Let l(n) = x*s(n) - d(n). Find the second derivative of l(m) wrt m.
-4
Let m(t) = t**2 - t - 1. Let k(v) = -18*v**3 + 10*v**2 - 6*v - 6. Let g(u) = k(u) - 6*m(u). Find the third derivative of g(w) wrt w.
-108
Find the second derivative of 8*m**3 - 5*m**3 - 9*m**3 + 7*m wrt m.
-36*m
What is the second derivative of 27*b - 2*b + b**5 - 51*b wrt b?
20*b**3
What is the third derivative of -g**4 - 5*g**2 - g**2 - g**2 wrt g?
-24*g
Suppose -2*v = 3*s + v - 6, 0 = -s - 2*v. Find the third derivative of 6*g**s + g**4 - 5*g**4 + 5*g**2 wrt g.
48*g
Let c(f) be the third derivative of f**9/30240 - f**6/144 + f**5/10 + 3*f**2. Let a(n) be the third derivative of c(n). Find the first derivative of a(q) wrt q.
6*q**2
Let j(w) = 21*w**3 - 3*w**2 - 13. Let o(i) = -43*i**3 + 7*i**2 + 25. Let r(z) = 7*j(z) + 3*o(z). Differentiate r(p) wrt p.
54*p**2
Let q(t) be the first derivative of 13*t**4/4 - 11*t + 12. Find the first derivative of q(y) wrt y.
39*y**2
Find the third derivative of l**2 - 9*l**2 + 6*l**5 + l**2 wrt l.
360*l**2
Let z(d) be the third derivative of -d**9/3780 - d**6/240 - d**4/12 + d**2. Let x(t) be the second derivative of z(t). Find the second derivative of x(j) wrt j.
-48*j**2
Let y(x) = x**3 - 6*x**2 - 4. Let z(f) = -f**3 + 13*f**2 + 9. Let t(b) = -13*y(b) - 6*z(b). What is the derivative of t(q) wrt q?
-21*q**2
Find the third derivative of 8*k**2 - 11*k**2 + k**2 - 4*k**5 wrt k.
-240*k**2
Let p(j) be the second derivative of 1/30*j**6 + 3*j + 0*j**3 + 0 + 0*j**2 - 1/6*j**4 + 0*j**5. Find the third derivative of p(f) wrt f.
24*f
Let m(k) = k**4 + k**2 + k + 1. Let h(s) = 20*s**4 + 2*s**3 + 3*s**2 - s + 2. Let p(r) = h(r) - 2*m(r). What is the third derivative of p(z) wrt z?
432*z + 12
Let p be 2*((-4)/(-2) + 0). Suppose p*r - 4 = 4. What is the third derivative of -2 + 2 + g**3 - g**r wrt g?
6
What is the third derivative of -30*c**2 + 8*c**4 + 48*c**2 - 26*c**2 wrt c?
192*c
Let c(z) be the third derivative of -z**6/120 - z**5/30 + 6*z**2. Find the third derivative of c(l) wrt l.
-6
Let b(p) = -p**3 + 6*p**2 + 8*p - 5. Let o be b(7). Find the third derivative of 10*n**2 - 6*n**o - 4*n**3 - n**3 - 11*n**2 wrt n.
-30
Let x = 5 - -5. Let i = x - 8. What is the third derivative of y**i + y**6 - y**4 + y**4 + y**2 wrt y?
120*y**3
Let x(a) = a - 3. Let t be x(10). What is the first derivative of -3 - 5*s + 2 - t wrt s?
-5
Let j(g) = -5*g - 26. Let s(t) = 2*t + 9. Let u be (-74)/(-6) - 16/12. Let i(c) = u*s(c) + 4*j(c). Find the first derivative of i(d) wrt d.
2
Find the third derivative of -65*h**2 - 53*h**5 - 3*h**4 + 63*h**2 + 5*h + 3*h**4 wrt h.
-3180*h**2
Let n = 18 - 12. What is the third derivative of 4*u**n + 12*u**2 - 8*u**6 - 3*u**2 wrt u?
-480*u**3
Suppose 8 + 1 = 5*b - 3*d, 3*d + 9 = -3*b. What is the first derivative of 0*o**3 + 2*o**3 - 4 + b*o**3 wrt o?
6*o**2
Find the second derivative of -89*z + z**2 - 6*z**2 + 98*z wrt z.
-10
What is the second derivative of -2 + 43*a**2 - 35*a**2 - 10*a + 2 wrt a?
16
Let f(a) = -a - 1. Let c be f(6). Let q(s) = s + 10. Let d be q(c). What is the third derivative of -2*y**3 - 5*y**3 + 5*y**d + 2*y**2 wrt y?
-12
