3). Find the second derivative of 2*q**j + 2*q + 0*q - 5*q wrt q.
12*q
Let j(i) be the second derivative of i**10/30240 + i**6/360 - i**4/12 - 5*i. Let g(w) be the third derivative of j(w). Find the second derivative of g(t) wrt t.
20*t**3
Suppose -3*y + 3*r - 3 = -0*r, -3*y = 3*r - 15. What is the third derivative of -50*o**5 + o**y + 60*o**5 + o**2 wrt o?
600*o**2
Let g(x) be the third derivative of -2*x**2 - 1/40*x**6 + 0*x + 0 + 0*x**3 + 0*x**4 + 1/30*x**5. What is the third derivative of g(u) wrt u?
-18
Let x(s) be the second derivative of 3*s**2 + 0*s**3 + 0*s**5 - 3*s + 0 - 1/5*s**6 + 0*s**4. Differentiate x(w) with respect to w.
-24*w**3
Suppose 2*t = -t + 15. What is the second derivative of -2*w - 11*w**3 + t*w**3 - 2*w wrt w?
-36*w
Let x be 14/3*(-3)/(-2). Find the second derivative of 5*p**3 + 3*p - x*p - 4*p**3 wrt p.
6*p
Let z(c) be the third derivative of 3*c**7/35 - 7*c**5/30 + 18*c**2. Find the third derivative of z(y) wrt y.
432*y
Suppose 0 = -2*f + 5*m + 9, 2*f = 3*f + 4*m + 2. What is the first derivative of f*t - 9*t + 0 - 7 wrt t?
-7
Let l(o) be the second derivative of -1/2*o**3 + 5*o + 7/12*o**4 + 0 + 0*o**2. What is the second derivative of l(u) wrt u?
14
Let z(g) = g**2 - 4*g. Let f be -4 + 0/(7 + -3). Let m(l) = 1 - 3*l - 2 + 2*l. Let o(p) = f*m(p) + z(p). What is the derivative of o(x) wrt x?
2*x
Let r(u) be the second derivative of u**4 - 10*u**3/3 - 43*u. Find the second derivative of r(x) wrt x.
24
Let r(v) = 4*v**4 - 4*v - 7. Let d(u) = 4*u**4 - 5*u - 8. Let o(i) = 4*d(i) - 5*r(i). Differentiate o(s) with respect to s.
-16*s**3
Let t(c) = c**3 + c + 1. Let r(x) = -12*x**5 - 3*x**3 - 13*x**2 - 3*x - 3. Let b(h) = r(h) + 3*t(h). What is the third derivative of b(d) wrt d?
-720*d**2
Let c(d) be the second derivative of -7*d**6/120 + d**4/8 - 2*d**2 - 7*d. Let p(s) be the first derivative of c(s). Find the second derivative of p(o) wrt o.
-42*o
What is the derivative of 2 + 2 + 5*w**3 - 14 - 4 wrt w?
15*w**2
Let l(a) be the third derivative of 0*a**3 + 1/70*a**7 + 0*a + 0*a**6 + 1/60*a**5 + 4*a**2 + 0*a**4 + 0. What is the third derivative of l(g) wrt g?
72*g
Find the first derivative of -8*d**3 + 2*d**3 + 4 - d**3 wrt d.
-21*d**2
Find the third derivative of m**2 + 13*m**3 - m**3 + 20*m**2 + 15*m**3 wrt m.
162
Let s(l) be the third derivative of -l**8/12 - 7*l**4/8 - 26*l**2. What is the second derivative of s(o) wrt o?
-560*o**3
Find the first derivative of 4*f**2 - 7 + 22 + 0*f**2 + 13 wrt f.
8*f
What is the second derivative of 49*i**5 - 32*i**5 + 2*i + 36*i wrt i?
340*i**3
What is the third derivative of 0*h**3 + h**3 + 15*h**2 - 23*h**2 wrt h?
6
Differentiate 2*i - 3*i**2 + 5 - 3*i - 17 - 5*i**2 with respect to i.
-16*i - 1
Suppose 3*t + 1 = 2*y, 4 = y - 3*t + 5. Let r(n) be the second derivative of -1/3*n**4 + 0 + 1/3*n**3 - y*n + 0*n**2. Find the second derivative of r(c) wrt c.
-8
Let a(m) = -3*m - 12. Let o be a(-5). What is the derivative of 5 + 6 + 5*s**o - 5 wrt s?
15*s**2
Let h(n) be the third derivative of 0*n**3 + 0*n**5 - 1/24*n**4 + 0*n - 1/60*n**6 + 0 + 2*n**2. Find the second derivative of h(q) wrt q.
-12*q
Let d(z) be the third derivative of z**5/10 - 13*z**3/6 + 8*z**2. What is the first derivative of d(w) wrt w?
12*w
Differentiate -2*d**3 - 5 - d**3 + 1 - 2*d**3 wrt d.
-15*d**2
Let j = -25 - -13. Let u(d) = -28*d**2 + 8*d - 12. Let g(z) = 11*z**2 - 3*z + 5. Let r(p) = j*g(p) - 5*u(p). Find the second derivative of r(x) wrt x.
16
Let q(h) = h**3 + h**2. Let v(n) = -12*n**3 + 4*n**2 - 7*n. Let l(m) = -4*q(m) + v(m). Find the second derivative of l(a) wrt a.
-96*a
Let l(i) be the first derivative of 9*i**7/7 - 22*i**3/3 + 16. Find the third derivative of l(b) wrt b.
1080*b**3
Let y be (-36)/(-20) - 2/(-10). What is the first derivative of 5*j**2 - 5*j - 6*j**y - 4 + 5*j wrt j?
-2*j
Let f(j) be the first derivative of -2 - 2/3*j**3 - j**2 + 0*j. What is the second derivative of f(b) wrt b?
-4
What is the derivative of 0*g + 8 + 0*g - 17*g**2 + 40*g**2 wrt g?
46*g
Find the second derivative of -17*x - 6*x - 15*x**5 + 17*x**2 - 17*x**2 wrt x.
-300*x**3
Let l(b) be the second derivative of b**5/4 - b**4/6 + 6*b. What is the third derivative of l(p) wrt p?
30
Let p(t) be the third derivative of t**6/40 + 2*t**3/3 - 2*t**2. Differentiate p(z) with respect to z.
9*z**2
Let p = 37 - 25. Let z be (-28)/(-6) + 4/p. What is the third derivative of -z*k**4 + 0*k**3 + 6*k**4 + 0*k**3 - 2*k**2 wrt k?
24*k
Suppose -2*y - 3*y = -20. What is the second derivative of -8*j**y - 3*j + j - 2*j + 6*j**4 wrt j?
-24*j**2
Let g be 4 - ((-6)/(-2) + -2). What is the second derivative of -5*d**5 + 5 - 4*d - g - 2 wrt d?
-100*d**3
Let r(l) = l - 3. Let m be r(3). Suppose -3 = w - 2*w. Differentiate m - 1 + 2*h**3 - 4*h**w wrt h.
-6*h**2
Suppose -5*k = -q + 5, -2*k - k + 2*q - 10 = 0. Let u(x) be the second derivative of x**2 + k + 3*x + 0*x**3 + 1/4*x**4. Differentiate u(f) wrt f.
6*f
Let x(i) = -16*i**2 + 21*i - 2. Let j(g) = -80*g**2 + 106*g - 11. Let w(c) = 2*j(c) - 11*x(c). Find the second derivative of w(m) wrt m.
32
Suppose 0*k + 6 = 3*k. Find the second derivative of -k*p + 4*p**2 + 0*p + p**5 - 4*p**2 wrt p.
20*p**3
Let k be (2 + -3 - 0)*-3. Differentiate -c**3 - 2 + 2*c**k - 3*c**3 + 0 wrt c.
-6*c**2
Let i(l) = l - 6. Let k be i(6). Suppose 2*d = 5*z - k*d - 28, -2*z + 5*d = -28. Find the first derivative of 2*c + 0 + 2 - z*c wrt c.
-2
Let a(b) = 5*b**2 + 1. Let v(d) = d**2 + 1. Let q = 6 + -3. Suppose -3 = -q*i - 0. Let p(z) = i*a(z) - 4*v(z). Find the first derivative of p(s) wrt s.
2*s
Let i(a) be the second derivative of 0*a**3 - 1/7*a**7 + 0*a**6 + 0 - 5*a - 1/3*a**4 + 0*a**5 + 0*a**2. Find the third derivative of i(m) wrt m.
-360*m**2
Find the third derivative of -46*k**3 - 13*k**2 + 0 - 14*k**3 + 14*k**2 + 20 wrt k.
-360
Let q(d) be the second derivative of -7*d**4/12 + 3*d**2 - 5*d. Differentiate q(n) with respect to n.
-14*n
Suppose 4*i + 18 = 3*k, -2*k + 4*i - i = -12. Let z(j) = -4*j + 4. Let q be z(-3). What is the third derivative of -4*d**k + q - 4*d**2 - 16 wrt d?
-480*d**3
Find the second derivative of -k**2 - 482*k**5 + k**2 + 438*k**5 - 50*k wrt k.
-880*k**3
Let r(z) be the first derivative of z**9/72 + z**5/20 + 7*z**2/2 + 3. Let s(n) be the second derivative of r(n). What is the third derivative of s(m) wrt m?
840*m**3
Let o(f) = 53*f + 29. Let a(d) = 27*d + 15. Let m(q) = -5*a(q) + 2*o(q). What is the first derivative of m(s) wrt s?
-29
Let q(l) be the first derivative of -37*l**5/5 + 10*l + 11. Differentiate q(a) wrt a.
-148*a**3
Let j(p) = 8*p - 13. Let k(t) = 16*t - 27. Let i(b) = 9*j(b) - 4*k(b). Find the first derivative of i(d) wrt d.
8
Let u = 4 - 3. What is the derivative of 1 + 5*f**2 + 6 - u wrt f?
10*f
Let l(h) be the second derivative of h**5/10 + 7*h**4/12 + 8*h. Find the third derivative of l(i) wrt i.
12
Find the second derivative of -82*i**3 - 20*i**5 + 16*i + 82*i**3 wrt i.
-400*i**3
Let t = 10 - 8. Find the second derivative of 0*m + 3*m**t + 2*m + 3*m**2 - 5*m**2 wrt m.
2
Let b(u) be the first derivative of 3*u**2/2 - 5*u - 3. What is the derivative of b(o) wrt o?
3
Suppose -3 = -f - 1. What is the third derivative of 8*r**5 - f*r**5 - r**2 - 2*r**5 wrt r?
240*r**2
What is the third derivative of 17*i**2 + 11*i**5 - 4*i**5 + 5*i**6 - 3*i**6 + 23*i**2 wrt i?
240*i**3 + 420*i**2
Let m(u) = -21*u**3 - 22. Let s(p) = 41*p**3 + 44. Let g(o) = 13*m(o) + 6*s(o). Differentiate g(j) with respect to j.
-81*j**2
Let b(q) = 16*q**5 - 11*q**4 + 16*q. Let k = 22 - 16. Let s(y) = 3*y**5 - 2*y**4 + 3*y. Let p(m) = k*b(m) - 33*s(m). Find the second derivative of p(x) wrt x.
-60*x**3
Let v be 16/7 + (-4)/14. What is the second derivative of -l**5 - v*l**5 - 2*l + 2*l**5 wrt l?
-20*l**3
Let w(m) = 7*m**3 - 3*m - 14. Let t(g) = -22*g**3 + 8*g + 43. Let u(p) = 3*t(p) + 8*w(p). What is the first derivative of u(r) wrt r?
-30*r**2
Suppose -y = -3 + 1. Find the second derivative of -2*d + y*d**5 + d - 3*d**5 wrt d.
-20*d**3
Let m(q) be the third derivative of 2*q**2 + 0*q + 0 + 0*q**3 - 5/24*q**4 - 1/20*q**5. Find the second derivative of m(o) wrt o.
-6
Let y(g) = 2*g - 3. Let i be y(2). What is the second derivative of -2*a - 1 + i - 2*a**3 wrt a?
-12*a
Let t(g) be the third derivative of -g**5