- 2*k**3 - 2*k + 3. Let i(x) = 3*r(x) + 2*s(x). What is the first derivative of i(n) wrt n?
4*n**3
Find the third derivative of -5*w**2 + 24*w**4 - 11*w**4 - w**2 wrt w.
312*w
Let u(c) = -c**2 + 5*c - 1. Let r be u(3). Suppose 0 = r*p - 8*p + 18. What is the derivative of 2 - p + 0 + 0 - 3*a**3 wrt a?
-9*a**2
Let u(y) be the second derivative of y + 0 + 0*y**2 + 1/2*y**3 + 0*y**4 - 1/20*y**5. Find the second derivative of u(z) wrt z.
-6*z
Let h(y) = 13*y**2 + 3*y - 6. Let o(l) = 38*l**2 + 8*l - 17. Let w(g) = 17*h(g) - 6*o(g). What is the second derivative of w(a) wrt a?
-14
Let i(g) be the second derivative of -2*g**5/5 - 4*g**3/3 + 5*g. Find the second derivative of i(n) wrt n.
-48*n
Let j(n) be the second derivative of n**10/15120 + n**7/630 + n**4/3 + n. Let l(q) be the third derivative of j(q). Find the third derivative of l(g) wrt g.
120*g**2
Let d(w) be the first derivative of -2*w**5/5 + w**4/12 + 3*w + 5. Let y(n) be the first derivative of d(n). Find the third derivative of y(l) wrt l.
-48
What is the third derivative of -38*y**2 - 2 + 67*y**2 - 21*y**6 + 2 wrt y?
-2520*y**3
Let d(c) = c + 8. Let i be d(0). Differentiate -105*m + i + 105*m - 10*m**3 with respect to m.
-30*m**2
Let g(j) = -13*j - 5. Let f(k) = 66*k + 26. Let l(d) = -4*f(d) - 22*g(d). Find the first derivative of l(h) wrt h.
22
What is the second derivative of -10*r - r**5 - 3*r + 2*r**5 wrt r?
20*r**3
What is the first derivative of 126 - 16*g**4 + 2*g**2 - 2*g**2 - 112 wrt g?
-64*g**3
Let m(i) = -i - 3. Let v be m(-5). Let p = 1 - -1. Differentiate -p*r - 3*r + v + 4*r with respect to r.
-1
Let v(g) = 7*g**6 - g**2 - 6. Let y = -5 + 11. Let o(u) = 20*u**6 - 3*u**2 - 17. Let j(a) = y*o(a) - 17*v(a). What is the third derivative of j(n) wrt n?
120*n**3
Let z(t) be the third derivative of -7*t**5/60 - 7*t**3/6 + 27*t**2. Differentiate z(f) wrt f.
-14*f
Find the third derivative of 4*p**5 - p**5 + 2*p**2 - 10*p**5 + 4*p**2 wrt p.
-420*p**2
Suppose -5*v = -l + 3*l - 2, 0 = -5*v - 5*l - 10. What is the third derivative of -c**2 - c**4 + 0*c**v + 3*c**4 wrt c?
48*c
Find the second derivative of 3*t**2 - 2*t**2 - 11*t - t - 2*t**2 wrt t.
-2
Let f(y) = -5*y**3 - y**2 + 2*y + 2. Let t(s) = -9*s**3 - 3*s**2 + 5*s + 5. Let l(r) = 5*f(r) - 2*t(r). Find the third derivative of l(a) wrt a.
-42
Let l(o) = o + 6. Let h be l(-11). Let g = -2 - h. What is the first derivative of -s**3 + 1 + s**3 - 2*s**g wrt s?
-6*s**2
Let g(x) = -4*x + 2. Let y be g(-1). What is the third derivative of 9*m**6 - 21*m**y + 5*m**2 + 9*m**6 wrt m?
-360*m**3
Suppose -2*t - 2 = 2*c, 0*c + 3*c - t = 9. Let q(u) be the first derivative of -c + 0*u**2 + 1/4*u**4 + 3*u + 0*u**3. Differentiate q(f) wrt f.
3*f**2
Let v(p) be the third derivative of 0*p**4 + 0*p**6 - 1/30*p**5 + 0*p**3 - 4*p**2 + 0 + 0*p - 2/105*p**7. Find the third derivative of v(j) wrt j.
-96*j
Let c be -3*4/(-12) + 1. Let w(p) be the second derivative of c*p + 0*p**2 + 0 - 1/12*p**4 - 1/3*p**3. What is the second derivative of w(j) wrt j?
-2
Let n(a) be the third derivative of -a**9/1008 - a**5/30 - a**3/3 - a**2. Let z(g) be the first derivative of n(g). Find the second derivative of z(c) wrt c.
-60*c**3
Let l be (-8)/((-3)/6 + 0). Suppose 0*h - 4*h = -l. What is the third derivative of -3*g**4 + 0*g**4 + 5*g**h + g**2 wrt g?
48*g
Let l(k) = -36*k**2 - 25*k - 17. Let m(t) = -12*t**2 - 8*t - 6. Let q(x) = -6*l(x) + 17*m(x). What is the second derivative of q(v) wrt v?
24
Let k(a) = 4*a**2 + 16*a + 2. Let l(w) = 8*w**2 + 33*w + 5. Let i(r) = -5*k(r) + 2*l(r). What is the second derivative of i(t) wrt t?
-8
Let g(b) be the third derivative of b**7/105 + 5*b**4/24 - 6*b**2. Find the second derivative of g(r) wrt r.
24*r**2
Suppose 3*r - 17 = -q, -6 = -2*r + 4. What is the second derivative of i - i + q*i**4 + i wrt i?
24*i**2
Suppose -2*r = -2*b - 0*r + 18, 0 = 2*r + 10. What is the derivative of -b*o - 2 + 6 + 0*o wrt o?
-4
Differentiate -43 - 54*a**2 - 15*a**3 - 60*a**2 + 114*a**2 wrt a.
-45*a**2
Let m(w) = w + 10. Let o be m(-7). Find the second derivative of -4*n**o - n + 7*n**3 + n**3 wrt n.
24*n
Let q be ((-3)/6 + 1)*4. Find the third derivative of -4*m**2 - 3*m**4 - q*m**4 + 2*m**4 - m**2 wrt m.
-72*m
Find the third derivative of 2*o**4 - 4*o**4 - 7*o**2 - 3*o**4 + 0*o**2 wrt o.
-120*o
Let k = 0 + 0. What is the third derivative of k*u**3 + 3*u**2 - 2*u**3 + 6*u**3 - u**2 wrt u?
24
Let f(k) = -k**3 - 6*k**2 + 8*k + 10. Let j be f(-7). Let a be 1 + 0 + (2 - 0). Find the first derivative of -2 - 3*x**3 - x**a + j*x**3 wrt x.
-3*x**2
Let d(l) be the third derivative of 9*l**2 + 5/6*l**3 + 1/8*l**4 + 0*l + 0. Differentiate d(q) wrt q.
3
What is the second derivative of -68*x - 9*x**2 + 33*x + 28*x wrt x?
-18
What is the second derivative of -13*h + 2*h**5 + 3*h**5 - 7*h**5 wrt h?
-40*h**3
Suppose -y = -5*y - 28. Let g = y - -10. Find the second derivative of 3*t**g - 3*t**3 + t**4 - t wrt t.
12*t**2
Suppose -5*p - 5*v + 2 = -v, 3*v - 2 = -4*p. Let a be 11/77 - (-1)/(-7). Differentiate 1 - 4*r + p*r + a with respect to r.
-2
Let f = -1 + 7. Differentiate -7 + 3*h + f - 4*h - 2*h wrt h.
-3
Let y(p) be the first derivative of -p**9/252 + 7*p**5/60 - 7*p**2/2 - 3. Let j(k) be the second derivative of y(k). Find the third derivative of j(q) wrt q.
-240*q**3
Let o(l) be the third derivative of -1/3*l**3 + 1/40*l**6 + 0*l**5 + 0*l**4 - l**2 + 0 + 0*l. What is the derivative of o(r) wrt r?
9*r**2
Let o(x) = -5*x + 1. Let p(n) = n. Let f = -11 + 22. Suppose -11 = 4*s + 5*z, -f = -0*s - 5*s + 2*z. Let r(m) = s*o(m) + 3*p(m). Differentiate r(b) wrt b.
-2
Let v(g) be the third derivative of 5*g**8/112 - 5*g**4/12 + 9*g**2. What is the second derivative of v(r) wrt r?
300*r**3
Let s(p) = 0*p**3 - p**4 - 39*p**2 + 47*p**2 - 4*p**3. Let h(g) = 3*g**3 - 7*g**2. Let k(t) = 4*h(t) + 3*s(t). Find the third derivative of k(u) wrt u.
-72*u
Let j(k) be the third derivative of -2*k**7/35 - 43*k**4/24 - 28*k**2. Find the second derivative of j(p) wrt p.
-144*p**2
Suppose 5*x - 4 = 2*f, -2*x - 4*f = -7 - 9. What is the second derivative of -4*r**2 + 2*r + 0*r**x - 2*r**2 wrt r?
-12
Let o(a) = 20*a**5 - 3*a**4 - 3*a**3 - 10*a - 3. Let k(h) = h**4 + h**3 + h + 1. Let c(b) = -3*k(b) - o(b). Find the second derivative of c(j) wrt j.
-400*j**3
Let g = 10 - 8. What is the second derivative of -3*i + i**g - 2*i + i**2 + 4*i wrt i?
4
Suppose 3*o = 5*m, -5*o = -3*m + 2*m. Let z(w) be the first derivative of -1/2*w**4 + m*w + 3 + 0*w**2 - w**3. What is the third derivative of z(c) wrt c?
-12
Let w = 6 + -6. What is the second derivative of n + w*n - 3*n**2 + 0*n wrt n?
-6
Let s(l) be the first derivative of 2/3*l**3 + 0*l - 4 + 0*l**2 - 1/2*l**4. What is the third derivative of s(o) wrt o?
-12
Suppose -25 = 3*i - 0*c - 5*c, 4*c - 20 = -5*i. Suppose i = -4*k + 28 - 12. Find the second derivative of 5*t - k - 3*t**3 - 2*t + 4 wrt t.
-18*t
What is the third derivative of -20*s**3 - 200*s**2 - 6*s**3 + 96*s**2 + 80*s**2 wrt s?
-156
What is the third derivative of -15*d**5 - 47*d**2 + 24*d**2 + d**2 wrt d?
-900*d**2
Let g(x) = -4*x + 10. Let v(w) = -w - 1. Let o(k) = -g(k) - 5*v(k). What is the derivative of o(y) wrt y?
9
Let r be 0/((-6)/(-11 + 5)). Let x(i) be the first derivative of 2/3*i**3 + 2 + r*i + 0*i**2 - 1/2*i**4. Find the third derivative of x(q) wrt q.
-12
Suppose -p - 4*p + 20 = 0. Differentiate -5 + 2 - 4*i**p + i**4 with respect to i.
-12*i**3
Let y(v) = -6*v + 8. Let p(r) = -4*r + 6. Let o(u) = -9*u + 13. Let x(j) = 3*o(j) - 5*p(j). Let z(k) = 5*x(k) - 6*y(k). What is the derivative of z(a) wrt a?
1
Let l(v) be the third derivative of -v**6/4 - v**5/30 - 33*v**2. What is the third derivative of l(k) wrt k?
-180
Let z(v) be the first derivative of -6*v**5/5 - 19*v**2/2 + 9. Find the second derivative of z(a) wrt a.
-72*a**2
Find the second derivative of 19*o**3 - 19*o**3 - 3*o + 11*o**4 wrt o.
132*o**2
Suppose -5*x = -20 - 0. Suppose 16 = o - 2*w, 0 = x*o - 3*o + 5*w - 9. Differentiate -10*y**4 - 4 + o*y**4 + 0 with respect to y.
16*y**3
Let z(t) be the second derivative of t**5/15 + t**4/6 - 2*t**2 - 4*t. Let k(l) be the first derivative of z(l). Find the second derivative of k(p) wrt p.
8
Let i(h) = h**4 - 6*h**3 - 6*h**2 - 6*h - 10. Let q(v) = 3*v**4 - 17*v**