*a**5 + 33*a**2 - 149*a**5 + 109*a**5 wrt a.
2580*a**2
What is the third derivative of -8*t**2 + 6*t**3 - 10*t**3 + 13*t**3 + 3*t**2 wrt t?
54
Suppose 4*d - 2*d + k = 2, 5*d + 5*k = 0. What is the third derivative of 2*t**4 - 4*t**4 + 2*t**2 + t**d wrt t?
-48*t
Let v = -11/114 - -5/19. Let k(r) be the second derivative of r - r**2 + 0 + v*r**3. Differentiate k(t) wrt t.
1
Let u(b) = -b**2 + b + 1. Let s(l) = 4*l**2 - 41*l + 5. Let g(h) = s(h) - 5*u(h). What is the second derivative of g(x) wrt x?
18
Let m(i) be the second derivative of i**5/4 - 3*i**2 - 2*i. Differentiate m(s) with respect to s.
15*s**2
Let h(r) be the third derivative of r**6/120 + 5*r**4/24 - r**3/6 - 4*r**2. Let v(s) be the first derivative of h(s). Differentiate v(g) wrt g.
6*g
Let j(u) = -43*u**3 - 42*u**2 - 4*u. Let a(m) = -42*m**3 - 41*m**2 - 3*m. Let n(w) = -4*a(w) + 3*j(w). Find the third derivative of n(v) wrt v.
234
Find the second derivative of 4*t**5 + t - 2*t**5 + 0*t wrt t.
40*t**3
Let h be -1 + 3 + (3 - 1). Differentiate y**h - 26 + 13 + 14 wrt y.
4*y**3
Let o(c) = c**3 - c**2 + 1. Let l(s) = -31*s**4 + 2*s**3 - 34*s**2 + 2. Let y(g) = -l(g) + 2*o(g). What is the third derivative of y(z) wrt z?
744*z
Let a(h) = -h**4 - h**2. Let s(l) = 20*l**4 + 5*l**2 - 31*l. Let m(c) = 5*a(c) + s(c). What is the second derivative of m(w) wrt w?
180*w**2
Let u(j) be the second derivative of j**8/560 + j**4/8 + j**3/3 - 2*j. Let w(p) be the second derivative of u(p). Differentiate w(k) wrt k.
12*k**3
Let a = -8 - -14. What is the second derivative of 4*o**3 + 3*o**4 - 3*o - a*o**4 - 4*o**3 wrt o?
-36*o**2
Let h(r) be the third derivative of 0*r**4 - 1/105*r**7 + 0*r**5 + 7*r**2 + 1/2*r**3 + 0*r**6 + 0 + 0*r. Find the first derivative of h(y) wrt y.
-8*y**3
What is the second derivative of -44*n**5 + 46*n**5 + 3*n - n wrt n?
40*n**3
What is the first derivative of -45*v**4 + 51*v**4 + 19 - 2 wrt v?
24*v**3
Let t(p) = p**2 - 2*p - 4. Let m be t(4). What is the third derivative of 3*g**4 + 4*g**2 - 2*g**4 - 5*g**4 - g**m wrt g?
-120*g
Let g(c) be the second derivative of 0 - c + 3/2*c**2 + 1/3*c**3. Differentiate g(i) with respect to i.
2
Let y(m) be the second derivative of m**7/7 + 2*m**4 - 17*m. What is the third derivative of y(g) wrt g?
360*g**2
Let b(q) be the third derivative of -q**8/6720 + q**5/40 - q**4/24 + 2*q**2. Let j(c) be the second derivative of b(c). Differentiate j(i) with respect to i.
-3*i**2
Let j(g) be the third derivative of 0*g**6 + 1/4*g**4 + 0*g + 0*g**5 + 0*g**3 + 1/105*g**7 + 0 - 3*g**2. Find the second derivative of j(k) wrt k.
24*k**2
Differentiate 15 - 11 + 14*m**3 - 6 - 3 wrt m.
42*m**2
Let h(f) = 14*f**3 + 3*f + 32. Let q(n) = -43*n**3 - 8*n - 95. Let s(x) = -8*h(x) - 3*q(x). What is the first derivative of s(b) wrt b?
51*b**2
Let u(i) = -i**3 + 4*i**2 + 2*i - 4. Let x be u(4). Let d = 22 - 22. Find the third derivative of d*k**x - k**4 - k**4 - k**2 wrt k.
-48*k
Let u(z) be the second derivative of -z**6/2 - z**3/3 - 14*z. What is the second derivative of u(b) wrt b?
-180*b**2
Let p = 6 + 8. Let m be (-52)/(-14) - (-4)/p. What is the derivative of x**4 + 3*x**4 - 1 - 2*x**m wrt x?
8*x**3
Let r(s) = s**2 - 5*s - 6. Let u be r(7). Suppose -5*k + k + u = 0. Differentiate -k - 1 + 2*z**2 + 1 + 5 with respect to z.
4*z
Let g(j) = -j. Let p be g(-2). What is the third derivative of -t**p - t**3 - 5*t**3 - 3*t**2 + 2*t**3 wrt t?
-24
Suppose 0 = -5*u - 5*z + 3 + 2, 4*u = 3*z + 32. Suppose 5*a + u = v - 2*v, 0 = 3*v - a - 1. What is the second derivative of v*i**3 + i - i + i**3 - 3*i wrt i?
6*i
Let a(r) be the third derivative of -r**7/1680 - r**6/240 - r**5/30 + 4*r**2. Let f(c) be the third derivative of a(c). Find the first derivative of f(u) wrt u.
-3
Let w(f) be the second derivative of 0*f**4 + 0 + f**2 + 0*f**5 - 4*f + 0*f**3 + 1/30*f**6. Find the first derivative of w(g) wrt g.
4*g**3
Suppose 8*j - 95 = 3*j. Let a = -13 + j. What is the third derivative of 2*z**a + z**2 + 4*z**6 - 4*z**6 wrt z?
240*z**3
Let s(b) be the third derivative of b**8/21 - 11*b**4/12 - 31*b**2. What is the second derivative of s(f) wrt f?
320*f**3
Let l = 0 - -2. Suppose -5*d = 3*u + 14, -l*d = 7 + 1. Find the second derivative of -u*b + 7*b + 2*b**2 - 2*b wrt b.
4
Let g(q) be the second derivative of q**5/4 + 7*q**3/6 - 7*q. What is the second derivative of g(j) wrt j?
30*j
Suppose 0*d - 3*q = 4*d - 28, 2*q = -d + 12. Find the second derivative of 0*t - 4*t + 3*t**d + t wrt t.
36*t**2
Let f(a) be the third derivative of 5*a**6/24 - 19*a**4/24 + 3*a**2. Find the second derivative of f(t) wrt t.
150*t
Let l be 2 - (6/3 - 3). Let o(p) = p**2 - 5*p + 2. Let b be o(5). Differentiate -u**2 + u**2 + l*u**b + 2 with respect to u.
6*u
What is the second derivative of 0*d**5 - d**5 + 597*d - 566*d wrt d?
-20*d**3
Let y(g) be the third derivative of -g**8/42 + 2*g**5/15 - 11*g**2. Find the third derivative of y(d) wrt d.
-480*d**2
Let l(i) be the third derivative of 0*i - 1/24*i**4 + 0*i**3 + i**2 + 0 - 1/30*i**5. What is the second derivative of l(w) wrt w?
-4
Let v be (2 - -1) + (-106)/(-2). Find the second derivative of 2*s**2 - 3*s + 56 - v wrt s.
4
Let i(s) be the third derivative of -s**6/120 + s**3 - 7*s**2. Find the first derivative of i(r) wrt r.
-3*r**2
Let a(x) = -x**2 + 6*x + 5. Let o be a(5). Let l = -7 + o. What is the second derivative of 3*p**l - 3*p**3 + 5*p**3 - 2*p**3 - 2*p wrt p?
18*p
Suppose 2*m = 3*m - 2. Find the first derivative of 0 + f + m - 4*f + 0*f wrt f.
-3
Suppose 4*c - 2 = 10. Let o(w) = w**3 - 4*w**2 + 4*w - 1. Let t be o(c). Differentiate 0*k**t - 4 + 6 + k**2 with respect to k.
2*k
Suppose -5*b + 5*c = -15, 3*b - 3*c = -2*b + 9. Let v be (3 + -1 - -2) + b. Find the second derivative of -3*r**3 + r + v*r**3 + r**3 wrt r.
12*r
Let c(a) = -a**3 + 6*a**2 - 3*a - 7. Let b be c(5). Find the second derivative of 3*z**2 - 3*z**2 - 4*z + 4*z**b wrt z.
24*z
Differentiate -1 + 2 - 7 - 5 - 25*m with respect to m.
-25
Let s be (9/(-6))/(1/(-2)). Suppose 0 = d + s*d - 8. Find the second derivative of -2 + 2*p**2 + p + d wrt p.
4
Suppose 4*m - 6 = -c, 2*m + 2*m = 5*c + 18. What is the first derivative of m + 7*g**2 + 11*g - 11*g wrt g?
14*g
Suppose 5*k - 6 = 3*z, -k + 3*z - 8 = 7*z. Differentiate k - 4 + 2 - 3*i**4 wrt i.
-12*i**3
Let s be (1 - 0)/((-1)/(-1)). Let p be ((-4)/8)/(s/(-6)). Differentiate -1 + p*v + 4 - 4 with respect to v.
3
Let d(n) = n - 3. Let r be d(6). Let p be (-2 + 5)/((-2)/(-2)). What is the third derivative of 25*o**2 - o**p + 3*o**r - 26*o**2 wrt o?
12
Differentiate -7 - 8*k - 3 + 1 with respect to k.
-8
Let i(j) be the first derivative of -2*j**7/105 - j**5/60 + 3*j**2/2 + 1. Let r(n) be the second derivative of i(n). Find the third derivative of r(g) wrt g.
-96*g
Suppose 2*r - s - 11 = 0, -5*r = -r + s - 7. Let u(m) = -4*m + 7. Let x(h) = -4*h + 6. Let j(w) = r*u(w) - 4*x(w). Differentiate j(k) with respect to k.
4
Let u(r) be the second derivative of -r**3/6 - 2*r**2 + 4*r. Find the first derivative of u(q) wrt q.
-1
Let q(m) be the third derivative of 0 + 0*m**4 + 0*m**3 + 0*m + 3*m**2 + 1/15*m**5 + 1/40*m**6. Find the third derivative of q(j) wrt j.
18
Let r(y) = -5*y**2 - 8*y + 2. Let g(q) = 11*q**2 + 17*q - 5. Let o(a) = 2*g(a) + 5*r(a). What is the second derivative of o(u) wrt u?
-6
Let r(h) be the third derivative of -h**8/84 + h**4/6 - 4*h**2. Find the second derivative of r(l) wrt l.
-80*l**3
What is the second derivative of -3 - 3*r**2 + 2*r + 12*r**2 + 3 wrt r?
18
Let l(v) be the first derivative of 13*v**6/6 + 13*v**3/3 - v**2/2 - 57. Find the third derivative of l(m) wrt m.
780*m**2
Let d = -1 - -2. Let n(c) = 5*c**3 - 1. Let r be n(d). Find the second derivative of 3*a**r - 2*a**4 - 2*a + a + 0*a wrt a.
12*a**2
Suppose -3*d + 18 = 12. Let h(r) be the first derivative of -4 - 3/4*r**4 - 1/2*r**d + 0*r**3 + 0*r. Find the second derivative of h(i) wrt i.
-18*i
Let f(c) be the second derivative of 0 + 1/12*c**4 + 0*c**3 + 0*c**5 - 1/5*c**6 + 0*c**2 + 3*c. What is the third derivative of f(k) wrt k?
-144*k
Let l = 6 - 4. What is the third derivative of -2*k**3 - l*k**2 + 9*k**2 - 3*k**2 + 3*k**3 wrt k?
6
Suppose -6*g + 2*g + 12 = 0. Let l(j) = j**3 - 2*j**2 - j - 3. Let h be l(g). Find the second derivative of u**3 + 2*u