+ 0. What is the second derivative of a(w) wrt w?
-48*w**2
What is the third derivative of 241*p**2 - 138*p**2 - 120*p**2 - 7*p**5 wrt p?
-420*p**2
Find the third derivative of 0*g**2 + g**6 + 5*g**2 + 3*g**2 - g**2 wrt g.
120*g**3
Suppose -4*q + 8 = 3*r, -r + 5*r - 10 = -5*q. Find the third derivative of 3*a**3 - 10*a**q - a**3 - 6*a**4 - 2*a**3 wrt a.
-144*a
Let a be 1*(1 + -1)/2. Let t(f) be the second derivative of -2*f + 0*f**2 + 0*f**4 - 1/20*f**5 + a - 1/3*f**3. What is the second derivative of t(s) wrt s?
-6*s
Let c(n) = 2*n + 2. Suppose -5*u - 10 = -7*u. Let j(q) = -9 - q - 4*q - 4*q. Let t(a) = u*j(a) + 21*c(a). What is the first derivative of t(y) wrt y?
-3
Let d(u) = -4*u**2 - 1. Let c(f) = -3*f**2. Let r(x) = 3*c(x) - 2*d(x). Find the first derivative of r(p) wrt p.
-2*p
Let q(l) = l - 1. Let v(y) = 8*y**3 - 2*y + 11. Let k(p) = -2*q(p) - v(p). What is the derivative of k(j) wrt j?
-24*j**2
Let a(c) be the second derivative of -c**7/21 + c**3/2 - 2*c. What is the second derivative of a(u) wrt u?
-40*u**3
Let k(p) = 3*p**2 - 4*p + 7. Let t(b) = -6 + b**2 - 6*b**2 + 2*b**2 + 0*b**2 + 4*b. Let y(l) = 6*k(l) + 7*t(l). What is the second derivative of y(g) wrt g?
-6
Let j = -49 - -49. Let l(g) be the first derivative of -1/4*g**4 - 1 + 0*g**2 + j*g + 1/3*g**3. What is the third derivative of l(p) wrt p?
-6
Let f(k) be the first derivative of 3/2*k**4 + 5/2*k**2 + 1 + 0*k**3 + 0*k. Find the second derivative of f(i) wrt i.
36*i
Let l(s) = s**2 - 1. Let k(f) be the first derivative of 2*f**3 - 3*f**2/2 - 4*f - 1. Let b(g) = -k(g) + 4*l(g). Find the second derivative of b(p) wrt p.
-4
Suppose 4*l + 0*o = -o + 14, -5*l + 5*o + 30 = 0. Find the first derivative of -2*n - l + n + n - 3*n**3 wrt n.
-9*n**2
Let y(i) be the third derivative of i**4/24 - i**3/3 - 2*i**2. Let z(h) = -6*h + 11. Let w(m) = 34*y(m) + 6*z(m). What is the derivative of w(q) wrt q?
-2
Suppose 0 = -0*x + x - 2. Suppose 0 = 3*p - 0*p - 12. Find the third derivative of h - h**p + 0*h - h**x - h wrt h.
-24*h
Suppose 4*g + 0*g = 20. What is the first derivative of g*d + 5 + 2 - 4 - 4 wrt d?
5
Suppose 0 = -2*h + 5*h + 2*p - 26, h + p - 10 = 0. What is the second derivative of 5*i**5 + 4*i - h*i - 5*i wrt i?
100*i**3
Let x be ((-6)/(-9))/(2/(-6)). Let t be 8 - 3 - (x - -1). What is the third derivative of h**6 + h**6 - 3*h**t + 3*h**2 - 5*h**2 wrt h?
-120*h**3
Let v(x) be the second derivative of 1/20*x**5 - 3*x + 0*x**2 + 0 + 0*x**4 + 1/2*x**3. Find the second derivative of v(z) wrt z.
6*z
Let f(q) be the second derivative of -5*q**4/3 - 14*q**3/3 - 19*q. Find the second derivative of f(d) wrt d.
-40
Let k(m) = m + 2. Let g be k(2). Differentiate g*r**2 - 3*r**2 - 1 - 2*r + 2*r wrt r.
2*r
Suppose 3*p - 5*d = -3, 4*d - 2 = -p - 20. Let j(g) = -7*g**3 - 2*g**2 - 6*g. Let b(c) = -c. Let f(s) = p*b(s) + j(s). Find the third derivative of f(q) wrt q.
-42
What is the second derivative of -6*i + 4*i + 2*i**2 + 4*i wrt i?
4
Let c be (-26)/(-8) - (-2)/(-8). Find the third derivative of 5*w**2 - 2*w**6 - 16*w**c + 16*w**3 wrt w.
-240*w**3
Let w(z) be the second derivative of 5*z**5/4 - 3*z**3/2 + 15*z. Find the second derivative of w(h) wrt h.
150*h
Differentiate -4 + 3 + 3 - 10*k with respect to k.
-10
Let j(d) = 3*d - 12. Let r be j(5). Let m(i) be the second derivative of -2/3*i**3 + 0 + r*i + 0*i**2 - 1/12*i**4. Find the second derivative of m(n) wrt n.
-2
Let r(y) be the second derivative of 9*y**3/2 + 2*y**2 + y. Differentiate r(c) wrt c.
27
Let b(g) = g + 7. Let j be b(-5). Find the third derivative of -n**2 + j*n**5 - 10 + 10 wrt n.
120*n**2
Let d(r) = -r**2 - r + 4. Let x be d(-3). Let i be (-1)/(1/x - 0). Find the third derivative of -b**4 - 2*b**2 + 2*b**i - 3*b**2 wrt b.
-24*b
Let u(p) be the third derivative of 2*p**5/15 + p**4/8 + p**3 - 6*p**2. Let b(s) = 16*s**2 + 5*s + 13. Let m(l) = -3*b(l) + 5*u(l). Differentiate m(i) wrt i.
-16*i
Let l(o) be the first derivative of -8*o**3/3 + 18*o + 59. Find the first derivative of l(s) wrt s.
-16*s
Let j(t) be the third derivative of 0*t**5 + 0 + 1/40*t**6 + 6*t**2 - 4/3*t**3 + 0*t + 0*t**4. Differentiate j(i) wrt i.
9*i**2
Let d(n) = -3*n**2 - 5*n + 3. Let g(o) = -7*o**2 - 11*o + 5. Let b(p) = 5*d(p) - 3*g(p). Find the second derivative of b(w) wrt w.
12
Let i(h) = h**3 + 5*h**2 + 4*h + 3. Let r be i(-4). What is the first derivative of 6 - o**3 + 6*o**3 + 0*o**r - 5 wrt o?
15*o**2
Find the first derivative of 6*u**3 - 8 - 3*u**3 - 5*u**3 + 11*u**3 wrt u.
27*u**2
Find the second derivative of 3*c - 6*c - 4*c**4 + 3*c**4 wrt c.
-12*c**2
Suppose -3*c - 21 = -5*r, 5*r = r + 5*c + 22. Let t(l) be the second derivative of 2*l**2 + l + 1/6*l**4 + 0 + 0*l**r. What is the derivative of t(v) wrt v?
4*v
Let v(o) be the second derivative of -1/6*o**3 + 0 - 8*o + 4*o**2. Differentiate v(s) wrt s.
-1
Let x(h) = -7*h**4 + 4*h**3 - 4*h + 1. Let q(j) = -8*j**4 + 5*j**3 - 5*j + 1. Let d = -10 - -5. Let p(k) = d*x(k) + 4*q(k). Differentiate p(l) wrt l.
12*l**3
Suppose -4*w + 8 = -o, -2*o = -o - 2*w. What is the third derivative of -3*r**6 + 8*r**4 - o*r**4 - r**2 wrt r?
-360*r**3
Let c(p) be the first derivative of -2*p**7/7 - 32*p**3/3 + 19. What is the third derivative of c(t) wrt t?
-240*t**3
Let w(p) be the second derivative of 7*p**6/15 + 9*p**2/2 - 10*p. Differentiate w(l) with respect to l.
56*l**3
Suppose -11 = -2*f - 2*v + 7, 2*v = 8. Suppose -n + 0 = -f. Find the first derivative of 5*a - n*a + 2*a**4 + 1 wrt a.
8*a**3
Let s(w) = -w**3 + 3*w**2 + 6*w - 4. Let r be s(4). Find the third derivative of -p**2 + p**4 + r*p**2 + p - p wrt p.
24*p
Differentiate 10 - r**4 + 10*r**4 - r**2 + r**2 wrt r.
36*r**3
Let q(c) = 2*c**2 - 3*c. Let n be q(2). Find the third derivative of 6*g**n - 2*g**2 + g**6 - g**2 wrt g.
120*g**3
What is the third derivative of y**2 - 14*y**2 + 65*y**6 + 2*y**2 - 56*y**6 wrt y?
1080*y**3
Let u(g) = -8*g - 14. Let m(f) = 24*f + 42. Let l(z) = 3*m(z) + 8*u(z). Differentiate l(t) with respect to t.
8
Differentiate -4 + 4 + 7*l**2 - 13 with respect to l.
14*l
Find the second derivative of 14*b - 27*b**5 + 8*b - 18*b wrt b.
-540*b**3
Suppose -14 - 6 = 5*l. Let f be (l/12)/(1/(-9)). What is the second derivative of 4*b - f*b + 5*b**3 - 3*b**3 wrt b?
12*b
Suppose -4*s = -6*s + 2. What is the derivative of -g - 3 + 1 + s wrt g?
-1
Let a(i) be the third derivative of -i**8/336 + i**5/15 + 7*i**2. Find the third derivative of a(m) wrt m.
-60*m**2
Let j = -10 - -13. What is the second derivative of 0*r - 4*r**3 + 0*r**3 - r**3 + j*r wrt r?
-30*r
Let d(u) = u - 4. Let n be d(6). What is the derivative of -2 + 26*l - 2*l**n - 26*l wrt l?
-4*l
Let j(m) be the first derivative of 5*m**4/2 + 5*m**2/2 - 2. Find the second derivative of j(d) wrt d.
60*d
Let o(d) be the third derivative of d**9/15120 - d**7/504 - d**4/3 + 3*d**2. Let v(a) be the second derivative of o(a). Find the third derivative of v(j) wrt j.
24*j
Suppose -3*v - 5*r + 11 = 0, 0*r + r - 1 = 0. Find the second derivative of -3*j - 10*j**2 + 3*j**2 + 3*j**2 + 7*j**v wrt j.
6
Let t(u) be the second derivative of u**5/10 + 11*u**4/6 + 13*u**3/2 - 3*u. Find the second derivative of t(m) wrt m.
12*m + 44
Let o(f) = -26*f**3 + 8*f**2 - 6*f - 6. Let y(b) = 27*b**3 - 8*b**2 + 7*b + 7. Let a(r) = -7*o(r) - 6*y(r). What is the third derivative of a(j) wrt j?
120
Let p(h) = h**4 + h**3 - 1. Let g(v) = -10*v**4 - 5*v**3 + 26. Let o(c) = -g(c) - 5*p(c). Differentiate o(z) wrt z.
20*z**3
Let z(y) = -18*y**4 - 18*y**3 - 3*y**2 - 18*y + 18. Let m(o) = -o**3 - o**2 - o + 1. Let c(n) = 18*m(n) - z(n). What is the third derivative of c(b) wrt b?
432*b
Let b(z) be the first derivative of -7*z**4/4 - 10*z + 3. What is the first derivative of b(y) wrt y?
-21*y**2
Let i(o) = 9*o**3 - 1. Let c(r) = -8*r**3. Let k(s) = -3*c(s) - 2*i(s). Differentiate k(l) wrt l.
18*l**2
Let h be 2 - (-4 - (-142)/24). Let d(y) be the third derivative of 0*y + 0 + 0*y**3 + h*y**4 - 1/60*y**5 - 2*y**2. What is the second derivative of d(f) wrt f?
-2
Let j(d) = 7*d - 48. Let q(y) = -3*y + 24. Let g(a) = -4*j(a) - 9*q(a). What is the first derivative of g(w) wrt w?
-1
Find the second derivative of -3*q + 553*q**3 - 15*q**5 - 553*q**3 wrt q.
-300*q**3
Let d(x) = x**5 + x**4 - x**2 - 1. Let p(v) = 16*v**6 - 3*v**