1. What is the second derivative of h + 2*h**b - 2*h - h wrt h?
4
Let q be (-40)/15*3/(-2). Suppose -r - 2*r + 12 = 0. What is the third derivative of -2*s**2 - q*s**r - s**2 + 2*s**4 + 4*s**2 wrt s?
-48*s
Suppose 5*y - 19 = z - 5*z, 5*y = z + 14. What is the second derivative of -2*d**2 + 0*d**2 - y*d**2 + 3*d + 7*d**2 wrt d?
4
Let j(k) = -68*k**3 + 17*k**2 - 17*k + 65. Let a(f) = -23*f**3 + 6*f**2 - 6*f + 22. Let u(c) = -17*a(c) + 6*j(c). What is the derivative of u(t) wrt t?
-51*t**2
Let f(c) be the first derivative of -c**6/120 - c**5/15 - c**2 - 1. Let n(s) be the second derivative of f(s). Find the third derivative of n(z) wrt z.
-6
Suppose -1 + 25 = 4*d. What is the third derivative of -d*t**2 + 3*t - 4*t + t - 2*t**5 wrt t?
-120*t**2
Let q(s) be the third derivative of s**9/15120 - s**5/120 + s**4/8 + s**2. Let l(j) be the second derivative of q(j). Differentiate l(h) with respect to h.
4*h**3
Find the third derivative of 34*l**5 - 8 - 24*l**2 - 26*l**5 + 8 wrt l.
480*l**2
Suppose 2*a = -3 + 9, 0 = -t - 5*a + 19. Find the third derivative of -3*q**5 - t*q**2 + 7*q**2 + 0*q**5 wrt q.
-180*q**2
Let x(t) be the first derivative of 24*t**5/5 - 12*t**3 - 25. Find the third derivative of x(u) wrt u.
576*u
Differentiate 1 + 8 + 3*f**2 - 12 + 6 with respect to f.
6*f
Let b(q) = -3*q**3 + 4*q**2 - 5*q. Let y(d) = -d**2 + d. Let l(k) = b(k) + 4*y(k). Find the second derivative of l(f) wrt f.
-18*f
Let p(s) = -13*s + 5. Let u(x) = 6*x - 3. Let m(z) = -3*p(z) - 7*u(z). Differentiate m(a) wrt a.
-3
Let w be (-8)/(-12) + (-4)/(-12). What is the third derivative of 7*y**2 + 2 + w - 7*y**3 - 3 wrt y?
-42
Suppose -5*x + 15 = -15. Suppose 0 = -2*j + 5*j - x. What is the second derivative of j + 2*q - 2 + q**4 wrt q?
12*q**2
Let b(g) = -g**3 - 5*g**2 + 6*g - 8. Let s be b(-6). Let o = -4 - s. Differentiate -l**2 + o*l**2 + 5 - 8 with respect to l.
6*l
Find the second derivative of -f - 5*f - 10*f**3 + 4*f**3 wrt f.
-36*f
Let z(s) = s. Let v(j) = -8*j**2 + 12*j. Let k(d) = v(d) - 3*z(d). Find the second derivative of k(i) wrt i.
-16
What is the second derivative of 4*t**5 + 6*t**5 + 3*t**5 - 24*t wrt t?
260*t**3
Let t(m) = -m**3 - m + 1. Let j(i) = 4*i**3 + 3*i - 7. Let r(d) = -j(d) - 3*t(d). Differentiate r(y) with respect to y.
-3*y**2
Let u(h) = -3*h - 3. Let o be u(-5). Suppose -2*y - 3*w = -6*y + o, w + 20 = 4*y. Differentiate 5 + 3 - 3*n**3 - y wrt n.
-9*n**2
Suppose 22*b - 21*b = 0. Let f(d) be the second derivative of 1/2*d**3 + b - 2*d + 1/12*d**4 + 0*d**2. What is the second derivative of f(t) wrt t?
2
Let z(q) be the third derivative of q**6/90 - q**4/12 - 2*q**3/3 + 3*q**2. Let c(g) be the first derivative of z(g). What is the derivative of c(h) wrt h?
8*h
Suppose -g - 4*g = -15. Find the third derivative of g*f**5 + 0*f**2 - 5*f**5 + 0*f**5 + 3*f**2 wrt f.
-120*f**2
Let v(s) be the third derivative of -1/56*s**8 + 0*s**6 + 0*s + 0 - 1/10*s**5 + 0*s**4 + 0*s**7 + 0*s**3 - 8*s**2. What is the third derivative of v(j) wrt j?
-360*j**2
Suppose 0 = 4*c + c - 20. Let b be 3*(-1)/(-12)*c. What is the derivative of b - 2*x**3 - 1 - 1 wrt x?
-6*x**2
Let g(l) be the third derivative of 0*l**7 + l**2 + 0*l**5 + 0*l - 1/168*l**8 - 1/12*l**4 + 0*l**3 + 0*l**6 + 0. What is the second derivative of g(k) wrt k?
-40*k**3
Suppose 4*l + l = 3*v - 5, 4*v + 3*l = 26. Find the third derivative of -3*t**v + 0*t**5 - 4*t**2 + 7*t**2 wrt t.
-180*t**2
Let n(z) be the first derivative of 7*z**4/2 + 15*z - 10. What is the derivative of n(s) wrt s?
42*s**2
Let q = -6 + 6. Let z(p) be the first derivative of q*p**3 - 1/2*p**4 + p**2 + 2 + 0*p. Find the second derivative of z(k) wrt k.
-12*k
Find the third derivative of -26*n**2 + 22*n**3 + 63*n**2 - 5*n**3 wrt n.
102
Let x(m) = 47*m**5 + 27*m**2. Let z(h) = -24*h**5 - 13*h**2. Let s(j) = -3*x(j) - 5*z(j). What is the third derivative of s(b) wrt b?
-1260*b**2
Let o(z) = -7*z**4 + 3*z**3 + 3*z**2 + 5*z. Let n(r) = r**2 + r**3 - r**4 - r + r + 0*r. Let u(b) = -3*n(b) + o(b). What is the second derivative of u(j) wrt j?
-48*j**2
Let q be 1*-5 - (2 - 2). Let d = -3 - q. What is the third derivative of 8*l + 2*l**2 - d*l**3 - 8*l wrt l?
-12
Let n(j) be the first derivative of -2*j**3/3 - 10*j + 7. Differentiate n(c) with respect to c.
-4*c
Let y = 60 + -55. Let n(z) be the third derivative of 1/24*z**4 + 0*z + 1/30*z**y + 0*z**3 - z**2 + 0. What is the second derivative of n(k) wrt k?
4
What is the second derivative of -5*l + 3*l + 3*l**5 - 2*l + 0*l wrt l?
60*l**3
Let m be 20/(-6) + 4/(-6). Let v be ((-12)/8)/(1/m). What is the derivative of -2*u**2 - u**2 - 1 + v*u**2 wrt u?
6*u
Let y(g) = 3*g**2 + 1 + 2*g**2 + 0*g**2 - 4*g**2. Let p(a) = 2*a**2 + 7. Let r(d) = p(d) - 5*y(d). What is the first derivative of r(j) wrt j?
-6*j
Let m(b) be the third derivative of -b**9/28 - 7*b**5/60 + 5*b**2. What is the third derivative of m(s) wrt s?
-2160*s**3
Let w = -2 + -1. Let i be (-4)/3*w/2. Find the third derivative of i*r**5 + 4*r**2 + 0*r**2 - 2*r**2 wrt r.
120*r**2
Suppose 0 = -9*x + 8*x + 3. What is the first derivative of -8*a**3 - 3 + 5 + 13*a**x wrt a?
15*a**2
Let m(c) = -119*c**3 + 99*c**2 - 13. Let y(n) = 59*n**3 - 49*n**2 + 6. Let j(t) = 6*m(t) + 13*y(t). What is the third derivative of j(i) wrt i?
318
What is the second derivative of 7*l + l + 0*l + 8*l**2 - l wrt l?
16
Let h = -3 + 3. Let y be 6 + (-2 - (1 - h)). What is the first derivative of -4 + 8*b - 3*b - y*b wrt b?
2
Let r(p) = 5*p**2 + 4*p. Let f = -2 - -6. Let s(i) = -i**4 + 9*i**2 + 7*i. Let q(l) = f*s(l) - 7*r(l). What is the third derivative of q(u) wrt u?
-96*u
Let t be (44/10)/(8/20). Let d(b) = 15*b**2 + 31*b + 11. Let o(g) = -3*g**2 - 6*g - 2. Let s(j) = t*o(j) + 2*d(j). Find the second derivative of s(h) wrt h.
-6
Let v(p) be the first derivative of 6*p**4 - 29*p**2/2 - 45. Find the second derivative of v(a) wrt a.
144*a
Find the third derivative of -11*x**5 - 3*x**5 - 2*x**2 - 7*x**2 + 5*x**2 wrt x.
-840*x**2
Let a(p) = -5*p + 3*p + 7 + 2*p - 2*p. Let s(v) = -1. Let r(m) = -a(m) - 4*s(m). What is the derivative of r(k) wrt k?
2
Let i = 16 + -14. Let r(d) be the first derivative of 0*d**i + 1/4*d**4 + 0*d - 2 - 1/3*d**3. What is the third derivative of r(q) wrt q?
6
Let r(t) be the third derivative of -t**6/40 - 13*t**5/60 - 5*t**2. Find the third derivative of r(b) wrt b.
-18
Let y(l) be the second derivative of 2*l**7/21 + 5*l**3/6 - 3*l. Find the second derivative of y(b) wrt b.
80*b**3
Let p(q) = 5*q**4 - 2*q**3 - 3*q**2 - 2. Let n(k) = 16*k**4 - 7*k**3 - 9*k**2 - 7. Let c(s) = -2*n(s) + 7*p(s). What is the third derivative of c(d) wrt d?
72*d
Let b be (4 + (-148)/40)/(36/20). Let p(a) be the second derivative of -1/6*a**3 + 0 - b*a**4 + 2*a + 0*a**2. Find the second derivative of p(t) wrt t.
-4
Let y(a) = -34*a**2 - a - 27. Let x(b) = 17*b**2 + 13. Let w(z) = -7*x(z) - 3*y(z). What is the second derivative of w(g) wrt g?
-34
Let x(r) be the second derivative of r**6/60 - r**3/6 + 3*r**2/2 - 3*r. Let h(g) be the first derivative of x(g). Differentiate h(p) wrt p.
6*p**2
Let f be -1 - (0 + 6)*-1. Let g(w) be the third derivative of -w**2 + 0*w**4 + 1/30*w**f + 0*w + 0 - 1/2*w**3. Differentiate g(t) wrt t.
4*t
Let g(l) be the third derivative of -16*l**5/15 - 19*l**3/3 - 61*l**2. Differentiate g(a) with respect to a.
-128*a
Suppose 0 = 3*z - l + 2*l, 0 = 3*z - l - 6. Suppose z = -g + 3. Differentiate -1 + g*d + 0 + 4 wrt d.
2
Let g(r) be the second derivative of 13*r**4/12 + 2*r**3/3 + 13*r. What is the second derivative of g(w) wrt w?
26
Suppose p - 3*p = -8. Let u(s) be the second derivative of 1/30*s**6 + 1/6*s**3 + 0*s**p + 0*s**5 + 0 - s + 0*s**2. What is the second derivative of u(t) wrt t?
12*t**2
Let y = -1 + 1. Suppose 5*d - 2*d = y. What is the second derivative of d*o + 0*o - 2*o**5 + o wrt o?
-40*o**3
Let r(k) be the first derivative of -k**3 + 3*k**2/2 + 15. Find the second derivative of r(n) wrt n.
-6
Let f be 1/(-5) + 42/10. Let q(a) = -a - 3. Let z be q(-5). What is the second derivative of 4*c**f - 2*c**4 + z*c - 3*c wrt c?
24*c**2
Let v(x) be the first derivative of -x**6/60 - x**4/12 + 2*x**2 - 4. Let d(k) be the second derivative of v(k). Find the second derivative of d(g) wrt g.
-12*g
Differentiate -39 - 142*x**3 + 125*x**3 + 17