
Let c be ((-9)/27)/(2/(-42)). What is the derivative of -c*x**4 + 0*x**4 - 9 - 1 - x**4 wrt x?
-32*x**3
Let q(x) = -11*x**3 - x**2 - 5*x. Let c = -4 - 1. Let y(k) = -17*k**3 - 2*k**2 - 8*k. Let u(g) = c*y(g) + 8*q(g). What is the third derivative of u(b) wrt b?
-18
Let y(u) = 29*u**3 + 6*u**2 - 5*u + 6. Let h(n) = n**3 + n**2 - n + 1. Let b(t) = -6*h(t) + y(t). Find the second derivative of b(j) wrt j.
138*j
Find the third derivative of -7*a**5 + 4*a**2 - 10*a**2 + a**2 wrt a.
-420*a**2
Suppose -3*n - 2*n - 45 = 0. Let g be 2 + (-4)/(12/n). Find the third derivative of 3*y**5 - 2 + g - 2*y**2 - 3 wrt y.
180*y**2
Let c(d) be the third derivative of d**6/30 - d**4/24 - d**2. What is the second derivative of c(z) wrt z?
24*z
Let v = 3 - 6. Let q = 5 + v. What is the third derivative of 4*s**5 - 2*s**5 + 3*s**q - s**5 wrt s?
60*s**2
Let f = 53 + -37. Suppose -3*k - 2*c = -14, -5*c + c + f = 0. Find the third derivative of 3*x**2 + 2 - 2 - 4*x**3 + k*x**3 wrt x.
-12
Differentiate -2*x**4 + 9*x**4 + 64 + 8*x**4 - 56 wrt x.
60*x**3
Let k = 16 + -11. What is the second derivative of -4*i - 7*i + 9*i - 2*i - k*i**5 wrt i?
-100*i**3
Differentiate -3*p**2 + 4*p**2 - 14 + 9 + 0*p**2 with respect to p.
2*p
Let f(a) be the first derivative of 3*a**2/2 - 14*a + 13. Differentiate f(h) wrt h.
3
Let g(h) be the first derivative of h**4/4 + h**3 + 6. Find the third derivative of g(f) wrt f.
6
What is the second derivative of -1 + 2*o - o**3 + 3*o**3 - 6*o**2 - 7*o - 18*o**2 wrt o?
12*o - 48
Let f = 1 + 1. Let r(a) be the first derivative of a**3 + 0 + a**2 + 4 - 5 - 2*a**f. Find the second derivative of r(u) wrt u.
6
Let t(a) be the first derivative of 3*a**6/2 + a**2/2 - 5. What is the second derivative of t(i) wrt i?
180*i**3
Let h(d) be the third derivative of -d**6/120 - 7*d**5/30 + 2*d**2. What is the third derivative of h(l) wrt l?
-6
Suppose -5*h + d + 0*d + 21 = 0, -2*h + 9 = -d. Find the second derivative of -191 + 191 + 3*m**h + m wrt m.
36*m**2
Let r be (2 - (-21)/15) + 33/55. Let k(x) be the first derivative of -3/4*x**r + 0*x**2 - x**3 - 3 + 0*x. What is the third derivative of k(u) wrt u?
-18
Let g(s) = -5 - s**4 + 6 + 5*s**2 - 7*s + 4. Let m(c) = 2*c**4 - 7*c**2 + 11*c - 7. Let z(n) = -7*g(n) - 5*m(n). Find the second derivative of z(l) wrt l.
-36*l**2
Let d be ((-4)/(-10))/(2/30). Let r = -3 + d. Differentiate 2 - 4*s**3 + 0*s**r + 0 + s**3 with respect to s.
-9*s**2
Let l be 8/(-68) - (-14)/119. Let y(q) be the second derivative of l + 0*q**3 + 0*q**2 + 1/6*q**4 + 4*q + 1/5*q**5. Find the third derivative of y(z) wrt z.
24
Let l(g) = 26*g**3 - 3*g**2 + 3*g + 9. Let b(x) = -155*x**3 + 17*x**2 - 17*x - 55. Let p(f) = 6*b(f) + 34*l(f). Find the first derivative of p(v) wrt v.
-138*v**2
Let t be -3*(-3 + (-44)/(-12)). Let x(m) = 7*m + 6. Let i(d) = d + 1. Let a(h) = t*i(h) + x(h). What is the first derivative of a(y) wrt y?
5
Let m = 2/39 + 23/312. Let i(c) be the third derivative of 0*c + 0 + m*c**4 - c**2 + 1/6*c**3. What is the first derivative of i(b) wrt b?
3
Let a(d) = 9*d - 5. Let r(n) = -26*n + 16. Let g(i) = 8*a(i) + 3*r(i). Differentiate g(k) wrt k.
-6
Let s(i) = -i - 5. Let v be s(-8). Find the third derivative of d**2 + 7*d**2 - v*d**2 + d**3 wrt d.
6
Let j(p) be the first derivative of 3 - 2*p**2 - 5/4*p**4 + 0*p**3 + 0*p. Find the second derivative of j(l) wrt l.
-30*l
Let y = -6 - -10. Find the second derivative of -n**y + 3*n**3 - 3*n**3 + 2*n wrt n.
-12*n**2
Suppose p = 4*p - 9. Suppose 0 = -3*v + v + 6. What is the third derivative of v*t**2 - 12*t**4 - p*t**5 + 12*t**4 wrt t?
-180*t**2
Let k(h) = h + 9. Let b be k(-7). Let t be 8/2 + b/(-1). What is the second derivative of -2*s + 2*s**t + 0 + 0 wrt s?
4
Let h(d) be the third derivative of -d**6/60 + d**5/60 + 2*d**2. What is the third derivative of h(j) wrt j?
-12
Let b be (2/(-14))/(6/7)*-1. Let h(q) be the second derivative of 0*q**2 + b*q**4 + 2*q + 1/6*q**3 + 0. What is the second derivative of h(t) wrt t?
4
Suppose 16 = r - 4*i, 6*r - i = r + 23. What is the second derivative of -5*l - 2*l**4 + 2*l**4 + l**r wrt l?
12*l**2
Let t(k) = 1 + 5*k**3 + 2 - 4*k**3 - 1 + k**2. Let v be t(0). Find the second derivative of s**2 + 0*s**2 + v*s - 4*s**2 + s**2 wrt s.
-4
Let f(w) be the first derivative of -43*w**5/5 + 45*w + 25. Find the first derivative of f(i) wrt i.
-172*i**3
Let q(j) be the first derivative of 0*j - 5/4*j**4 - 4/3*j**3 + 5 + 0*j**2. What is the third derivative of q(f) wrt f?
-30
Suppose 10 + 0 = 5*p. Let v = 3 - p. What is the first derivative of -y**2 + v + 6*y**2 - 3*y**2 wrt y?
4*y
Let m(h) = -15*h**4 + 4*h**2 - 3. Let w(v) = 15*v**4 - 3*v**2 + 2. Let t(r) = 2*m(r) + 3*w(r). What is the third derivative of t(g) wrt g?
360*g
Let o(z) = -z**2 + 5*z - 3. Let c be o(3). What is the first derivative of -8*h**c - 3 + 0 + 4 wrt h?
-24*h**2
Let w(q) = -q**2 + q + 32. Let a be w(6). Let o be -2*2*2/(-4). What is the derivative of d**o + d**2 - 2 + d**a wrt d?
6*d
Suppose -a - 4*b + 11 = -0*a, a = -5*b + 13. What is the first derivative of -2*g**3 + 0 + 4 - a wrt g?
-6*g**2
What is the third derivative of -3*t**2 - 3 + 156*t**4 - 156*t**4 - 65*t**6 wrt t?
-7800*t**3
Let x(a) = 2*a**3 - 4*a**2 - 2*a + 2. Let n be x(3). Suppose -4*h - 2 = -n. Find the third derivative of -o**3 - o**h + 0*o**2 + 2*o**2 wrt o.
-12
Let q(m) be the third derivative of m**6/120 + 13*m**4/24 - 14*m**2. Find the second derivative of q(x) wrt x.
6*x
Suppose 3*z = 2*z - 5*j - 1, 3*j + 15 = 3*z. What is the first derivative of z*b + 2 - 5*b - 3*b - 1 wrt b?
-4
Let n be (-3*(-2)/72)/1. Let a(j) be the second derivative of 0 - 2*j + 1/6*j**3 + n*j**4 + 0*j**2. Find the second derivative of a(l) wrt l.
2
Differentiate 35 + 24*i - 13*i - 10*i with respect to i.
1
Let h(y) = -2*y**5 - 4*y**3 - 4*y - 4. Let v(x) = 7*x**5 + 11*x**3 - x**2 + 11*x + 11. Let a(n) = -11*h(n) - 4*v(n). Find the third derivative of a(g) wrt g.
-360*g**2
Let z(v) = v**3 + v**2 - v - 1. Let b(l) = 11*l**3 + 13*l**2 - 2*l - 2. Let a(h) = -b(h) + 2*z(h). Find the third derivative of a(i) wrt i.
-54
Find the third derivative of 75*k - k**4 + 16*k**2 - 2*k**2 - 75*k wrt k.
-24*k
Let v(s) be the third derivative of -3*s**2 + 0 + 0*s - 1/60*s**6 + 0*s**4 - 1/30*s**5 + 0*s**3. What is the third derivative of v(y) wrt y?
-12
Let q(m) = -m**2 + 1. Let t(f) = 6*f**2 + f - 2. Let c(d) = 5*q(d) + t(d). Let x be c(0). What is the second derivative of 7 - l - 7 + 2*l**x wrt l?
12*l
Suppose 0 = -v - 1 + 3. What is the second derivative of v*d - 3*d**5 + 0*d + d wrt d?
-60*d**3
Let h(r) be the third derivative of 0*r**6 + 0*r**3 + 0*r**7 + 0*r**4 - 1/112*r**8 + 0 + 0*r - 1/20*r**5 - 3*r**2. Find the third derivative of h(v) wrt v.
-180*v**2
Let o be (-1)/(2/4 + -1). Suppose -o*q - 4*d = 18, q + 4 = -0*q - d. What is the derivative of -q - 2 + 0*g**4 + g**4 wrt g?
4*g**3
Let s(p) be the first derivative of 7*p**5/5 + 2*p**3/3 + 12. Find the third derivative of s(f) wrt f.
168*f
Let d(m) = -67*m**3 + 11*m**2 + 86*m - 15. Let o(n) = 33*n**3 - 6*n**2 - 43*n + 8. Let v(z) = -6*d(z) - 11*o(z). Find the second derivative of v(s) wrt s.
234*s
Let h = -3 + 5. Let j(w) be the second derivative of h*w + 1/6*w**3 + 1/10*w**5 + 0*w**4 + 0*w**2 + 0. What is the second derivative of j(k) wrt k?
12*k
Let g(b) be the third derivative of b**8/112 + 11*b**5/60 + 7*b**4/6 + 3*b**2 - 16. What is the second derivative of g(h) wrt h?
60*h**3 + 22
Let u(k) be the second derivative of -5*k**4/4 - 19*k**3/6 - 12*k. What is the second derivative of u(b) wrt b?
-30
Suppose -3*q + 26 = -q + 4*m, -q = 5*m - 28. Suppose 4 = q*n - n. Differentiate -2 + 0*k**4 - n*k**4 + 5*k**4 + 4 wrt k.
12*k**3
Let f(q) be the second derivative of -q**7/630 - q**5/120 + q**4/3 + 4*q. Let c(x) be the third derivative of f(x). Differentiate c(u) with respect to u.
-8*u
Let x(h) = 4*h**4 + 20*h**2 + 6. Let n(j) = 13*j**4 + 59*j**2 + 17. Let c(o) = -6*n(o) + 17*x(o). What is the third derivative of c(g) wrt g?
-240*g
Let v(d) = -d**3 - 7*d**2 + d + 7. Let f be v(-7). Find the second derivative of -u + 2*u**5 + u**5 + f*u wrt u.
60*u**3
Let b = -29/9 + 119/36. Let m(c) be the second derivative of 0*c**2 + b*c**4 + 1/3*c**3 + c + 0. Find the second derivative of m(o) wrt o.
2
Let d(k) be the th