- 18*a**3 wrt a.
-54*a**2
Find the third derivative of -67*g**2 + 14*g - 19*g**5 + 83*g**2 - 14*g wrt g.
-1140*g**2
Let n(p) = -9*p**4 - 7*p**3 - 7*p + 1. Let l(q) = 3*q**4 + 2*q**3 + 2*q. Let o(d) = 7*l(d) + 2*n(d). Differentiate o(j) wrt j.
12*j**3
Differentiate 13 - x + 2*x - 3 + x wrt x.
2
What is the third derivative of -23*r**5 + 5*r**6 + r**2 + 23*r**5 + 16*r**6 wrt r?
2520*r**3
Let y(d) = -d**3 - 5*d**2 - d + 5. Let s(h) be the first derivative of -h**3/3 + h - 6. Let k(g) = -5*s(g) + y(g). Find the second derivative of k(b) wrt b.
-6*b
Let o(b) be the first derivative of b**5/20 + b**3/6 - b**2/2 + 1. Let i(s) be the second derivative of o(s). What is the first derivative of i(f) wrt f?
6*f
Suppose a + 1 + 2 = 0. Let g = a + 5. What is the first derivative of 1 - g*l**4 + 4 - 3 wrt l?
-8*l**3
Let j(g) be the first derivative of -5*g**3 + 11*g - 20. Differentiate j(d) wrt d.
-30*d
Suppose -2*g + 15 = -5*g + 3*k, -5*g + 4*k - 20 = 0. Let n be (3 - g)/((-3)/(-2)). What is the second derivative of -a**2 + 5*a - a**n - 3*a wrt a?
-4
Let s(u) = u**2 - u - 1. Let r be s(1). Let b(t) = -t + 1. Let y be b(r). What is the second derivative of -y + 2 + 2*i + i**4 wrt i?
12*i**2
Let d = -27 + 29. What is the third derivative of -v + v - d*v**6 + 5*v**2 wrt v?
-240*v**3
Let n(q) = 8*q**3 + 5*q**2 + 3. Let o(r) = 9*r**3 + 6*r**2 + 4. Suppose -u - u = 10. Let z(a) = u*o(a) + 6*n(a). Differentiate z(p) with respect to p.
9*p**2
Find the second derivative of -6*u**4 + 30*u**4 - 35*u + 64*u wrt u.
288*u**2
Let a be 7 - (1*-6)/(-2). Differentiate -2*l**4 - 1 - 4*l**4 + 4*l**a with respect to l.
-8*l**3
Let h(f) be the second derivative of -f**6/15 - 5*f**4/2 + 15*f. What is the third derivative of h(b) wrt b?
-48*b
Find the first derivative of 4 - 4 - 13 - 1 - 18*n wrt n.
-18
Let k(w) = -61*w**3 + 50*w**2 - 5*w. Let n(v) = 91*v**3 - 75*v**2 + 7*v. Let m(t) = -7*k(t) - 5*n(t). Find the third derivative of m(d) wrt d.
-168
Let i(y) be the third derivative of 5*y**8/336 + y**5/60 + y**2. What is the third derivative of i(h) wrt h?
300*h**2
Let c(i) = 15*i**3 - 20*i. Let s(w) = w**3. Let b(x) = -c(x) - 4*s(x). Find the second derivative of b(r) wrt r.
-114*r
Let i(n) be the first derivative of n**4/4 + 3*n + 1. What is the first derivative of i(d) wrt d?
3*d**2
Let x = -31 + 13. Let l be (-32)/x - (-4)/18. What is the first derivative of -4*p**2 + p**2 + 5*p**l - p**2 - 3 wrt p?
2*p
What is the second derivative of -9*a**2 - 244*a - 3*a**2 + 226*a wrt a?
-24
Let z be (42/(-9) - -1)*-15. Let r be (4/(-5))/((-22)/z). Find the second derivative of -4*o + o**2 - 3*o**2 - 4*o**2 + r*o**2 wrt o.
-8
Let d(k) be the first derivative of -5*k**3/3 - 5*k**2 - 5. Find the second derivative of d(l) wrt l.
-10
Let z(a) = -3*a**2 + 3. Suppose 0*o + 18 = 3*o. Let r(c) = 5*c**2 - 6. Let q(d) = o*r(d) + 11*z(d). What is the first derivative of q(s) wrt s?
-6*s
Let s(c) = 43*c**4 - 6*c**3 - 6*c**2 + 35*c + 6. Let p(k) = -k**4 + k**3 + k**2 - k - 1. Let y(x) = -6*p(x) - s(x). Find the second derivative of y(w) wrt w.
-444*w**2
Let t(k) be the second derivative of -16*k**3/3 - 23*k**2/2 + 2*k + 10. Find the first derivative of t(m) wrt m.
-32
Let s(y) = 30*y**2 - 14*y - 7. Let g(d) = 10*d**2 - 5*d - 2. Let z(o) = -7*g(o) + 2*s(o). What is the second derivative of z(a) wrt a?
-20
Let g = -11 - -16. Let v(b) = 2*b - 6. Let w be v(g). Find the second derivative of -4*l - 2*l**4 + l + 4*l**w wrt l.
24*l**2
Let n(t) = -5*t**3 + 18*t**2 + 7*t + 7. Let k(c) = 3*c**3 - 12*c**2 - 5*c - 5. Let m(o) = -7*k(o) - 5*n(o). What is the third derivative of m(f) wrt f?
24
Let l(b) = 1 + 0*b - 5*b + b**3 + 6*b. Let g(z) = -5*z**3 - 2*z**2 - 4*z - 4. Let j(n) = 3*g(n) + 12*l(n). What is the third derivative of j(o) wrt o?
-18
Let y(g) = 38*g**3 + 32*g**2 - 9. Let h(z) = 19*z**3 + 16*z**2 - 4. Let o(t) = 9*h(t) - 4*y(t). Find the third derivative of o(a) wrt a.
114
Let w = 16 + -14. Find the first derivative of 6*u - w + 9 - 5*u - 4*u wrt u.
-3
What is the second derivative of -n + 6*n**2 - 4 + 6 - 2 wrt n?
12
Let u(l) = -l + 4. Let z be u(0). Let o = -1 + z. What is the second derivative of -2*a**3 - 2*a**3 - 3*a + o*a**3 wrt a?
-6*a
Let q(z) be the third derivative of -z**8/28 - z**6/60 - z**4/24 + 2*z**3/3 - 15*z**2. Find the second derivative of q(u) wrt u.
-240*u**3 - 12*u
What is the third derivative of 2*i**3 + 7*i**3 + 3*i**3 + 5*i**2 - 6*i**3 wrt i?
36
Suppose 3*g + 20 = -g. Let r = -3 - g. Find the third derivative of r*c**5 - 6*c**5 + c**5 + 4*c**2 - 5*c**2 wrt c.
-180*c**2
Suppose -c = -c - 2*c. Let j(k) be the first derivative of 3 + 0*k**4 + 4/5*k**5 - 3/2*k**2 + c*k**3 + 0*k. What is the second derivative of j(h) wrt h?
48*h**2
Differentiate 4*b**3 - 9 - 3*b**3 - 3*b**3 + 3 wrt b.
-6*b**2
Find the second derivative of 2*c**4 + 0*c**4 + 9*c**4 - c**4 - 12*c wrt c.
120*c**2
Find the third derivative of -13*r**4 - 16*r**4 + r**4 + 34*r**2 + 43*r**4 wrt r.
360*r
Let d(q) = q**3 + 3*q**2 - 5*q - 5. Let m be d(-4). Let t = 3 + m. What is the third derivative of n**6 - 2*n**6 - n**2 - n**t wrt n?
-120*n**3
Let v be (-4 - -5)/(3/30). What is the third derivative of -3*z**4 + 5 - 5 + v*z**4 - 6*z**2 wrt z?
168*z
Let d(f) be the first derivative of -15*f**4/4 - 3*f**2 + 1. What is the second derivative of d(b) wrt b?
-90*b
Let w(t) = -t**2 - t. Let x(b) = -3*b**2 + 4*b - 13. Let j(c) = -4*w(c) - x(c). Differentiate j(q) with respect to q.
14*q
Let a be 2 + 0/(4/4). Find the second derivative of 454 + 6*j**a - 454 - j wrt j.
12
Let p(h) = 2*h. Let b(d) = -18*d - 10. Let y(v) = 2*b(v) + 12*p(v). What is the derivative of y(r) wrt r?
-12
Let l(u) be the third derivative of u**8/1680 - u**4/24 - u**3/2 + 3*u**2. Let p(h) be the first derivative of l(h). What is the derivative of p(k) wrt k?
4*k**3
What is the second derivative of 18*g + 2 - 30*g + 8*g + 52*g**2 + 1 wrt g?
104
What is the derivative of -6 - 1 - 22*k**4 - 3 + 1 wrt k?
-88*k**3
Let k be 0 + 3 + 1 + -2. Find the second derivative of -v**5 - v**5 - k*v - v**5 wrt v.
-60*v**3
Let k(s) = -s - 1. Suppose 4*x = -20, -2*y + 3*y + 2*x + 17 = 0. Let d be k(y). Find the third derivative of -4*l**2 - 3*l**2 + 2*l**2 + 2*l**2 - l**d wrt l.
-120*l**3
Let h(w) be the third derivative of -4*w**7/105 - 4*w**5/15 - 39*w**2. What is the third derivative of h(c) wrt c?
-192*c
Let s = 383/13290 - -2/443. Let z(w) be the third derivative of 0*w**4 + s*w**5 + 1/60*w**6 - w**2 + 0*w**3 + 0*w + 0. Find the third derivative of z(j) wrt j.
12
Find the second derivative of 27*h - 20*h - 1 - 10*h**2 + 1 wrt h.
-20
Let y(v) = -8*v**2 + 2*v**3 - 4*v**3 + 3 + v**3 - 7*v. Let t be y(-7). Differentiate 4 + 2*i - 2*i - 3*i - t with respect to i.
-3
Find the third derivative of 36*w**3 + 27*w**2 - 11*w**2 - 13*w**2 wrt w.
216
Let d(z) = 4*z**3 + 2*z**2 - 2*z - 1. Let h = -7 - -9. Let p(l) = -17*l**3 - 9*l**2 + 9*l + 5. Let v(r) = h*p(r) + 9*d(r). Differentiate v(k) with respect to k.
6*k**2
Let v(s) be the first derivative of 23*s**5/5 - 4*s**3/3 - 32. Find the third derivative of v(i) wrt i.
552*i
Find the second derivative of 54*g**5 - 152*g**4 + 1 + 152*g**4 + g wrt g.
1080*g**3
Differentiate 2*x**4 - 44*x + 44*x + 28*x**4 - 2 with respect to x.
120*x**3
Let b be 12/(-15)*-5*(-3)/(-6). Let k(f) be the first derivative of -3/2*f**b + f**3 + 1 + 0*f. Find the second derivative of k(d) wrt d.
6
Let y(w) = -5*w**4 - 7*w**3 + 9*w**2 - 7*w - 73. Let k(h) = 3*h**4 + 3*h**3 - 4*h**2 + 3*h + 37. Let x(o) = 7*k(o) + 3*y(o). Differentiate x(g) wrt g.
24*g**3 - 2*g
Let n be 3 - (-1 - 0) - 2. What is the first derivative of 0 - n + t + 5 wrt t?
1
Let b(r) = 6*r**2 + 2*r. Let a(m) = 13*m**2 + 5*m. Let d(k) = -3*a(k) + 7*b(k). Find the second derivative of d(g) wrt g.
6
What is the derivative of 9 - 8 - 15 - 15 - 22*o**2 wrt o?
-44*o
Let b(f) be the third derivative of f**6/24 + f**5/60 - 15*f**2. What is the third derivative of b(n) wrt n?
30
Let k(m) be the first derivative of -m**8/840 + m**5/24 + 2*m**3 - 4. Let j(a) be the third derivative of k(a). What is the second derivative of j(o) wrt o?
-24*o**2
Let m(p) = -2*p - 9. Let b be m(-6). What is the second derivative of -4*i - 4*i - i**b + 0*i + 0*i**3 wrt i?
-6*i
Let h(u) be the second derivative of -3*u**5/5 - 19*u**3