4*x**3 wrt x.
12*x**2
Let u be 13/4 + 4/(-16). Suppose 4*k - 15 = -u. What is the second derivative of o + 7*o**3 - o**3 - 2*o**k wrt o?
24*o
What is the second derivative of 39*k**2 + 37*k**2 + 7*k - 49*k**2 wrt k?
54
Let t(r) = 18*r - 43. Let s(y) = -12*y + 29. Let k(u) = 8*s(u) + 5*t(u). Differentiate k(f) wrt f.
-6
What is the second derivative of 32*s - 51*s + 5*s**3 + 2*s**2 - 2*s**2 wrt s?
30*s
Let r(u) = -u**3 - 1. Let o(i) = -8*i**3 + 5*i - 4. Let k(q) = o(q) - 4*r(q). Find the second derivative of k(y) wrt y.
-24*y
What is the first derivative of -19 + 0*h**4 + 18 - 7*h**4 + 2*h**4 wrt h?
-20*h**3
Differentiate 3*q**3 - 11*q**3 - 9*q**4 - 15 + 8*q**3 wrt q.
-36*q**3
Let r(o) be the second derivative of -o**8/6720 + o**7/840 - o**4/6 - 3*o. Let v(w) be the third derivative of r(w). Find the third derivative of v(y) wrt y.
-6
Let l(m) = 2*m**2 + 9*m. Let h = -12 - -16. Let p(n) = -2*n**2 - 10*n. Let i(f) = h*l(f) + 3*p(f). Find the second derivative of i(j) wrt j.
4
Let v(y) = 2*y - y + 3 + 4*y**2 - 5*y**2 + 0*y**2. Let s(h) = -2. Let u(l) = -6*s(l) - 4*v(l). What is the second derivative of u(o) wrt o?
8
Let n be (0 - -3)/(2/(-4)). Let x = 8 + n. What is the derivative of -x - 5 + 2*f + 5 wrt f?
2
Let o(c) be the third derivative of 5/24*c**4 + 0*c + 0 + 1/2*c**3 - c**2. What is the first derivative of o(z) wrt z?
5
Let q(m) = -3*m - 3. Suppose 10 = 4*a - d - 4, 2*d = a. Let k(n) = -4*n - 4. Let i(v) = a*q(v) - 5*k(v). Differentiate i(h) wrt h.
8
Let a(p) = -12*p**4 - 16*p**2 - p. Let d(b) = b**4 - b. Let i(v) = a(v) - d(v). What is the third derivative of i(l) wrt l?
-312*l
Let y(p) be the first derivative of -11*p**5/5 + 6*p + 10. Differentiate y(w) wrt w.
-44*w**3
Let c(p) be the third derivative of -1/15*p**5 - 2/105*p**7 + 0*p**3 + 0 + 0*p**6 + 0*p**4 - p**2 + 0*p. What is the third derivative of c(u) wrt u?
-96*u
Let w(c) be the second derivative of 0*c**4 + 1/20*c**5 - 1/2*c**2 + 0 + 0*c**3 + c. What is the derivative of w(m) wrt m?
3*m**2
Let f(n) = -n**2 + 4*n - 5. Let o(z) = z**2 - 3*z + 4. Let c(j) = -4*f(j) - 5*o(j). Find the second derivative of c(y) wrt y.
-2
Let u(l) be the first derivative of -1 + 0*l + 0*l**4 - 1/3*l**3 - 5/6*l**6 + 0*l**5 + 0*l**2. Find the third derivative of u(j) wrt j.
-300*j**2
Let w be 28/(-3) - (-4)/12. Let s(f) = f. Let v(l) = -5*l - 1. Let j(n) = w*s(n) - 2*v(n). Differentiate j(i) wrt i.
1
Let u = 2 + 3. Find the second derivative of -6*n**5 + 4*n**u + 4*n**5 - 4*n**5 - 3*n wrt n.
-40*n**3
Let q(v) = -64*v**2 + 20*v - 16. Let m(p) = -13*p**2 + 4*p - 3. Let n(h) = 16*m(h) - 3*q(h). Find the second derivative of n(j) wrt j.
-32
Let j(p) = 7*p**3 - 19*p + 2. Let a(m) = -22*m**3 + 58*m - 7. Let c(t) = -2*a(t) - 7*j(t). Find the second derivative of c(w) wrt w.
-30*w
What is the third derivative of -176*v**5 + 185*v**5 + 9*v**2 + 13*v**2 wrt v?
540*v**2
Let v(l) be the first derivative of 0*l - 2*l**2 + 7/4*l**4 - 1 + 0*l**3. What is the second derivative of v(k) wrt k?
42*k
Suppose b + 5 = 5*r, r - 16 = -3*b + 1. What is the third derivative of 2*h**6 - 2*h**2 + 2*h**4 + 3*h**4 - b*h**4 wrt h?
240*h**3
Let n(d) be the third derivative of -d**5/10 + d**4/6 + 4*d**2. Let r(x) = -5*x**2 + 3*x - 1. Let q(c) = -3*n(c) + 4*r(c). Differentiate q(l) wrt l.
-4*l
Suppose 3*d - 5*m + 30 = 0, 0 = d - 4*m + 15 + 2. Let i be (-1 + 0)*2 - d. What is the third derivative of y**2 + i*y**4 - 4*y**2 + 5*y**2 wrt y?
72*y
Let j(r) = -r**2 + 4*r + 7. Let p be j(5). Find the third derivative of -6*x - 3*x**6 - x**p + 15*x - 9*x wrt x.
-360*x**3
Find the third derivative of 9*i**2 + 2*i**3 - 2*i**3 - 10*i**6 - 6*i**2 wrt i.
-1200*i**3
Find the second derivative of -20*j - 8*j**5 + 4*j**5 - 3*j**5 wrt j.
-140*j**3
Let f(t) be the first derivative of t**7/840 - t**5/120 - t**3/3 + 4. Let i(z) be the third derivative of f(z). Find the second derivative of i(l) wrt l.
6*l
Suppose -3*n + 3*b + 18 = -0*n, -28 = -5*n + 3*b. Suppose 0 = -5*x - 15, -5*l + 4*x = -17. What is the derivative of n*u - 5*u + u**3 + l wrt u?
3*u**2
Let f be (-18)/(-8) - 1/4. Let m be 2 - (0 - (-2 - -2)). Find the second derivative of m*q**2 - q**2 - 3*q**2 - f*q wrt q.
-4
Find the second derivative of 2*v - v + 6*v**2 - 9*v wrt v.
12
Let z(m) be the first derivative of -5*m**6/6 + 6*m**2 + 11. Find the second derivative of z(y) wrt y.
-100*y**3
Let k(m) = -35*m**4 - 2*m**2 - 42. Let a(c) = 105*c**4 + 7*c**2 + 126. Let q(l) = -2*a(l) - 7*k(l). What is the derivative of q(y) wrt y?
140*y**3
Suppose 0 = -5*h - 0*h. Let t(a) be the second derivative of 1/3*a**3 + 2*a + h*a**4 + 0 + 1/20*a**5 + 0*a**2. Find the second derivative of t(y) wrt y.
6*y
Let j(z) be the third derivative of -z**8/84 - 23*z**4/24 - 30*z**2. What is the second derivative of j(d) wrt d?
-80*d**3
Suppose -4*u + 3 = -17. What is the second derivative of u*q + q**5 - 4*q + q + 2*q**5 wrt q?
60*q**3
Let l(c) = 27*c**2 - 35*c + 11. Let g(d) = 9*d**2 - 12*d + 4. Let w(u) = 11*g(u) - 4*l(u). What is the second derivative of w(k) wrt k?
-18
Let w(g) be the second derivative of 0*g**5 - g + 1/6*g**4 + 0*g**6 + 1/28*g**8 + 0*g**3 + 0 + 0*g**2 + 0*g**7. What is the third derivative of w(c) wrt c?
240*c**3
What is the second derivative of -2*p**5 - p + 3*p**5 + 13*p - 12*p**5 wrt p?
-220*p**3
Find the third derivative of 4*p**2 + 9*p**6 - 3*p**2 - 5*p**6 wrt p.
480*p**3
Let v(d) = 8*d**3 - 9*d**2 + 2. Let r(i) = -24*i**3 + 27*i**2 - 7. Let s(z) = -2*r(z) - 7*v(z). What is the third derivative of s(p) wrt p?
-48
Let r(u) = u**2 + 2*u - 1. Let s(d) = 1 - 2 + 3*d**2 + 7*d - 3. Let f(z) = 7*r(z) - 2*s(z). Differentiate f(p) wrt p.
2*p
Let p(f) be the first derivative of 0*f**3 + 7/2*f**2 - 2/3*f**6 + 0*f**5 + 0*f + 5 + 0*f**4. Find the second derivative of p(j) wrt j.
-80*j**3
Let p(d) be the first derivative of 0*d**2 - 2/3*d**3 + 1 + 3*d. Differentiate p(r) with respect to r.
-4*r
Let p(c) be the first derivative of -c**3/3 - 3*c - 1. Let h(g) = g**2 + 2. Let u(o) = -6*h(o) - 5*p(o). Differentiate u(w) with respect to w.
-2*w
Let y(b) be the second derivative of -16*b**5/5 + 5*b**4/12 + 3*b**2/2 - 4*b. Find the third derivative of y(n) wrt n.
-384
Let i(s) = -s**4 + s**2. Let g(r) = r**4 + 2*r**2 - 4*r. Suppose -4*j + 3*j + 1 = 0. Let u(o) = j*g(o) - 2*i(o). Find the second derivative of u(v) wrt v.
36*v**2
Let i(z) = -6*z**3 + 9*z - 34. Let j(f) = -4*f**3 + 4*f - 17. Let g(s) = 3*i(s) - 5*j(s). Find the first derivative of g(l) wrt l.
6*l**2 + 7
Let x(l) = l**2 + l. Let s = -9 - -8. Let j(z) = 2*z**2 - 5*z. Let p(d) = s*j(d) - 2*x(d). Find the second derivative of p(r) wrt r.
-8
Let d = -3 + 19. Suppose -2*f - 4 + 2 = 2*r, 2*r + d = 5*f. Find the second derivative of 5 + z**3 - 5 + f*z wrt z.
6*z
Let f(i) be the first derivative of 0*i**6 + 1/7*i**7 - 2 + 1/3*i**3 + 0*i**5 + 0*i + 0*i**2 + 0*i**4. Find the third derivative of f(g) wrt g.
120*g**3
Let d = 7 - 4. What is the third derivative of 2*k**2 + k**3 - 2*k**d - 3*k**3 + 5*k**3 wrt k?
6
Let w(c) = -c + 12. Let x be w(11). Let a be ((-1)/(-3))/(x/33). What is the derivative of -a*g + 11*g + 0 + 3*g**3 + 4 wrt g?
9*g**2
Find the second derivative of 106*r**2 - 9 - 106*r**2 - 46*r**3 + 4*r wrt r.
-276*r
Suppose -5*r + 3*r = -4. Find the first derivative of -3*j**r + 4*j**4 + 0*j**4 + 3*j**2 + 6 wrt j.
16*j**3
Let m(a) = 2*a - 2. Let o be m(2). Find the second derivative of -g + 2*g + g + o*g**2 wrt g.
4
Let b(q) be the second derivative of -3*q**5/20 + 4*q**3/3 + 4*q. What is the second derivative of b(v) wrt v?
-18*v
Let u = -6 + 7. Find the second derivative of 0 + u - 3*o - 1 - 2*o**2 wrt o.
-4
Suppose 0*b + 3 = b + 3*x, -4*x + 9 = 3*b. What is the first derivative of 0 - 5 + b*u + 3 + 0*u wrt u?
3
Let j be ((-2)/(-6))/(3/(-9)). Let l = j - -4. What is the second derivative of -3*b**3 - b + 4*b**l - 3*b**3 wrt b?
-12*b
Let u = 10 - 6. Let t be (-6)/4 + (-49)/(-14). Find the second derivative of -d**4 + t*d**4 + d**u - 4*d**4 + 2*d wrt d.
-24*d**2
Let v = 6 - 7. Let c(a) = -4*a**3 - 5. Let i(y) = -y**3. Let l(f) = v*c(f) + 6*i(f). Differentiate l(u) wrt u.
-6*u**2
Let f(z) be the first derivative of 7*z**3/3 - 5*z - 1. Differentiate f(k) wrt k.
14*k
Suppose 3*t = 2*t - 5. Let g be (-11)/t + (-1)/5. Differentiate -o + o - 2*o - g wrt o.
