i
What is the third derivative of -6*d**4 + 13*d**4 - d**2 - 14*d**2 + 16*d**4 wrt d?
552*d
Let a(f) be the first derivative of f**7/840 + f**4/8 + f**3 - 3. Let x(s) be the third derivative of a(s). What is the first derivative of x(b) wrt b?
3*b**2
Let a(r) be the first derivative of -r**3/3 - r**2/2 - r - 1. Let w(j) = -6*j**2 - 4*j - 1. Let b(m) = -4*a(m) + w(m). Differentiate b(d) with respect to d.
-4*d
Let d(u) be the third derivative of -u**2 + 1/336*u**8 + 0*u**4 + 0 + 0*u**7 + 0*u**3 + 1/30*u**5 + 0*u + 0*u**6. What is the third derivative of d(r) wrt r?
60*r**2
Let v(u) be the first derivative of -5*u**3 - 5*u**2/2 + 3. Find the second derivative of v(s) wrt s.
-30
Suppose 4*x - 45 + 37 = 0. Let k(z) be the second derivative of -1/2*z**3 - x*z - 1/6*z**4 + 0 + 0*z**2. Find the second derivative of k(j) wrt j.
-4
Suppose -3*k + 4*k = 0. Let y(r) = r**3 + 4*r**2 + 2*r - 2. Let z be y(-2). Find the third derivative of -4*p - 3*p**6 + k*p**2 + 4*p + z*p**2 wrt p.
-360*p**3
What is the second derivative of 3*j - 2*j - 14*j**3 + 30*j**3 wrt j?
96*j
Let v(p) = -9*p**3 - 3*p**2 - 9. Let j(a) = -8*a**3 - 2*a**2 - 8. Let i(s) = 3*j(s) - 2*v(s). What is the first derivative of i(n) wrt n?
-18*n**2
Let p(o) be the third derivative of o**6/120 - o**5/30 + 6*o**2. What is the third derivative of p(l) wrt l?
6
Let l(t) = t - 2. Let q be l(4). Differentiate h - 3 - 4*h - 1 + q wrt h.
-3
Let f(s) be the second derivative of s**7/7 - s**4/12 + 10*s. What is the third derivative of f(d) wrt d?
360*d**2
Let m = 5 + 15. Find the third derivative of 4*o**2 - 10*o**4 + 7*o**2 - m*o**2 wrt o.
-240*o
Let r(m) = -m**4 + m**3 + m**2 + m. Let f(z) = 18*z**4 - 5*z**3 - 13*z**2 - 5*z. Let d(t) = -2*f(t) - 10*r(t). What is the third derivative of d(g) wrt g?
-624*g
Find the third derivative of -37*m**2 - 2*m - 5*m**3 + 6*m**3 + 3*m**2 + 35*m**4 wrt m.
840*m + 6
Let i(h) be the first derivative of 4*h**3/3 - 23*h - 13. Differentiate i(k) with respect to k.
8*k
Let a = 11 + -15. Let u(p) = -p**3 + 1. Let j(n) = 7*n**3 + n - 4. Let s(h) = a*u(h) - j(h). What is the second derivative of s(m) wrt m?
-18*m
Let i = -9 + 9. Let y be -1*(2 - 0)*-1. What is the third derivative of 2*h**2 + i*h**y + 0*h**5 - h**5 wrt h?
-60*h**2
Let k be 2 - (3 - (1 + 2)). Let a be (6 + 4)*3/k. Find the second derivative of 15 + 4*l**5 - a + l wrt l.
80*l**3
Let g(v) = v**2 - 9*v + 10. Let d be g(8). Find the first derivative of -d - 2 + f**3 + 4 - 3 wrt f.
3*f**2
Let d(t) = 106*t**3 - 106*t. Let i(s) = 35*s**3 - 35*s. Let c(g) = 5*d(g) - 16*i(g). Find the second derivative of c(o) wrt o.
-180*o
Let u(j) = 5*j**5 + 8*j**2 + 85*j + 8. Let g(m) = 3*m**5 + 5*m**2 + 57*m + 5. Let v(q) = -8*g(q) + 5*u(q). Find the second derivative of v(t) wrt t.
20*t**3
Let c(v) = -v - 1. Let i(b) = 20*b + 14. Let w(s) = 3*c(s) + i(s). Find the first derivative of w(g) wrt g.
17
Let o(k) = -k**2 + 5*k - 1. Let p be o(4). Differentiate 0*g**p + 1 - 1 - 7 - 3*g**3 wrt g.
-9*g**2
Let k = 11 + -5. What is the third derivative of 3*t**2 + t**2 - k*t**2 - 5*t**3 wrt t?
-30
Let b(f) = 17*f + 1. Let l be b(1). Suppose -2*v + 5*v - l = 3*m, -8 = 2*m. What is the third derivative of -4*r**6 + 6*r**6 + 0*r**v - 3*r**2 wrt r?
240*r**3
Let p(c) be the third derivative of 0 + 3*c**2 + 1/2*c**3 - 1/24*c**4 + 0*c. What is the derivative of p(q) wrt q?
-1
Let h(u) = -3*u - 3. Let i be h(-3). What is the third derivative of -2*j**6 - 6*j**2 + j**i - j**2 wrt j?
-120*j**3
Let o(f) be the first derivative of 7*f**6/6 - f**3 - 10. What is the third derivative of o(g) wrt g?
420*g**2
Let t = -28 - -43. Differentiate 19*v**3 - 10 - 15*v**3 - t*v**3 wrt v.
-33*v**2
Let t(h) = 45*h + 11. Let a(b) = 135*b + 35. Let w(g) = 2*a(g) - 7*t(g). What is the first derivative of w(i) wrt i?
-45
Let w(j) be the first derivative of j**5/30 - 5*j**3/6 - 3*j**2/2 - 3. Let b(q) be the second derivative of w(q). Differentiate b(k) with respect to k.
4*k
Let z = -7 - -10. Let r = 6 - 3. Differentiate -b**4 - b**r - 2 + b**z with respect to b.
-4*b**3
Let a = -12 + 16. What is the derivative of -9*t + a - 5 + 12*t wrt t?
3
Let v(w) = -w**4 + w**2 - w + 1. Let i(f) = -6*f**4 + 16*f**3 + 5*f**2 - 6*f - 12. Let r(a) = -i(a) + 5*v(a). What is the second derivative of r(z) wrt z?
12*z**2 - 96*z
Suppose -u + 2*u = 4. Let g(k) be the first derivative of 0*k + 0*k**2 + 1/2*k**u + k**3 - 1. Find the third derivative of g(o) wrt o.
12
Suppose -y + 10 = 1. Find the second derivative of y*u**3 - 7*u**3 - u**4 + 5*u - 2*u**3 wrt u.
-12*u**2
Let i(m) be the first derivative of 8*m**5/5 - 7*m**3/3 - 13. Find the third derivative of i(n) wrt n.
192*n
Let k(z) = z**2. Let d = -1 - -4. Let p(m) = -7*m**2 - 4. Let x(i) = d*k(i) + p(i). Differentiate x(l) wrt l.
-8*l
Let d(p) = p**2 - p. Let u(q) = 20*q**3 - 20*q**2 - q. Let y(i) = d(i) - u(i). What is the third derivative of y(o) wrt o?
-120
Let b(m) = -12*m**2 - 25*m - 9. Suppose 0 = 4*x + 11 + 25. Let o(v) = 3*v**2 + 6*v + 2. Let w(t) = x*o(t) - 2*b(t). Find the second derivative of w(n) wrt n.
-6
Let x = -4 - -6. Differentiate -1 + x + 3*k**2 - 4 with respect to k.
6*k
Let c be 0 + 2/3*3. What is the second derivative of -5*f - f + 3*f + f**c wrt f?
2
Let g(o) = -o**2 + 2*o + 1. Let y be g(3). Let n be (-1 + -2)/(2/y). Find the third derivative of 0*t**3 + t**3 - n*t**2 - 3*t**3 + 2*t**2 wrt t.
-12
Let w(n) = n**3 + n**2 - 1. Let b(o) = -4*o**3 + 4*o**2 - 3*o + 10. Let t(u) = b(u) + 6*w(u). What is the second derivative of t(c) wrt c?
12*c + 20
Let w be 27/6 - (-4)/8. Suppose -4*x = 2*b, 0*b + b - w*x - 14 = 0. What is the derivative of -s**4 - b + 7 - 2*s**4 wrt s?
-12*s**3
Let l be 2*(-3)/8*-4. Let m(y) be the first derivative of 2 + 0*y**4 - y + 0*y**l + 1/5*y**5 + 0*y**2. What is the derivative of m(s) wrt s?
4*s**3
Let m(q) = -q - 1. Let p = 10 + -17. Let t be m(p). Find the first derivative of 1 - 2*o + t*o - 2*o wrt o.
2
Let i = 0 + 0. Find the second derivative of 12*c**4 - c - 7*c**4 + i*c wrt c.
60*c**2
What is the second derivative of 4 - 4 + 13*x - 11*x**4 + 0 wrt x?
-132*x**2
Let s(g) = -g**3 - 9*g**2 - 8*g + 2. Let n be s(-8). Differentiate i**3 + n*i**3 - 7*i**3 - 2 wrt i.
-12*i**2
Let r(g) be the third derivative of -g**7/420 + g**4/8 - g**3/6 - 2*g**2. Let l(h) be the first derivative of r(h). Differentiate l(i) wrt i.
-6*i**2
Let t(q) be the second derivative of 13*q**6/15 + 3*q**2 - 24*q. What is the first derivative of t(h) wrt h?
104*h**3
Suppose 0 = 3*i + 4*a + 14, 5*i - 20 = -a + 3*a. Find the first derivative of 2 + 5*h**2 + h**i - 3*h**2 wrt h.
6*h
Let w(h) be the second derivative of -5*h**8/8 + h**4/4 + 10*h. What is the third derivative of w(n) wrt n?
-4200*n**3
Let m(v) be the second derivative of v**6/40 + v**3/6 + 3*v**2/2 - 3*v. Let w(o) be the first derivative of m(o). Differentiate w(i) with respect to i.
9*i**2
Let q(z) be the second derivative of 0 - 1/12*z**4 - 2*z - 1/3*z**3 - z**2. Let f(h) be the first derivative of q(h). What is the derivative of f(u) wrt u?
-2
Let o(t) be the second derivative of 0 + 1/3*t**4 - 10*t + 0*t**3 + 0*t**2 + 1/2*t**5. What is the third derivative of o(f) wrt f?
60
Let j(h) be the second derivative of -17*h**5/20 + h**4/2 - 3*h. What is the third derivative of j(a) wrt a?
-102
Differentiate -1 - 2*u**2 + 3 - 1 + 7*u**2 wrt u.
10*u
Let t be (-19)/(-4) - 2/(-8). Suppose -2*n - 2 = -3*n. What is the second derivative of -n*f**5 + 3*f - t*f + 0*f**5 wrt f?
-40*f**3
Find the second derivative of -2*p**4 + 24*p**4 - 5*p**4 - 24*p wrt p.
204*p**2
Suppose -10 = -4*j + 2. Find the second derivative of 2*p + 4*p - 5*p**3 + p**j wrt p.
-24*p
What is the second derivative of -5*a**5 - 2 + 6*a + 2*a**5 + 2 wrt a?
-60*a**3
Let z(o) be the third derivative of o**8/20160 + o**6/180 - o**5/60 - o**2. Let c(x) be the third derivative of z(x). Find the first derivative of c(g) wrt g.
2*g
Let f(i) = i - 2*i + 4*i + 5*i**2 + 2*i**3 + 5. Let y(n) = -n**3 - 4*n**2 - 2*n - 4. Let c(r) = 4*f(r) + 5*y(r). Find the second derivative of c(j) wrt j.
18*j
What is the second derivative of 6*l**4 + 9*l - 3*l**4 + 15*l**4 wrt l?
216*l**2
Let b(g) = 2*g**2 + 1 + 6*g**2 - 2*g - 4*g**2. Let r(a) = -a**2 + a. Let k(m) = b(m) + 2*r(m). What is the first derivative of k(x) wrt x?
4*x
