- 19. Let i(o) = -5*k(o) + p(o). What is the first derivative of i(t) wrt t?
15
Suppose 3*n + 7 = 19. Find the second derivative of -2*j - j - n*j + j - 11*j**2 wrt j.
-22
Let d(n) be the first derivative of 0*n**2 + 0*n**6 + 5/7*n**7 + 0*n + 4/3*n**3 + 0*n**4 + 0*n**5 - 2. Find the third derivative of d(r) wrt r.
600*r**3
Let m(l) be the third derivative of 0*l**5 + 0*l**4 + 1/20*l**6 + 0 - 9*l**2 + 0*l - 2/3*l**3. What is the derivative of m(y) wrt y?
18*y**2
Let i = 14 + -10. What is the third derivative of -2*m + 2*m + 2*m**4 + 2*m**2 + m**i wrt m?
72*m
Let x(b) be the first derivative of b**8/56 - b**4/6 + b - 3. Let n(r) be the first derivative of x(r). What is the third derivative of n(g) wrt g?
120*g**3
Let f(l) be the first derivative of 2*l**3/3 + 3*l**2/2 + 1. What is the second derivative of f(n) wrt n?
4
Let l be (-3 - 2)*2/(-5). Suppose 2 = 2*n - 2. What is the second derivative of 3*o**2 - 2*o**l + n*o - 3*o wrt o?
2
Let o(g) = -9*g**2 + 2. Let l(x) = -8*x**2 + 3. Let u(p) = 5*l(p) - 4*o(p). Differentiate u(c) wrt c.
-8*c
Differentiate -13 + 5*g + 6*g + g with respect to g.
12
Let m(z) = z**2 - 12. Let g(r) = -r**2 + 1. Let l(f) = -3*g(f) - m(f). Differentiate l(v) wrt v.
4*v
What is the second derivative of 5*i + 2*i**3 - 3*i + 10*i + 11*i wrt i?
12*i
Let r(x) be the third derivative of -x**7/840 + x**6/720 + x**4/24 - x**2. Let f(b) be the second derivative of r(b). Find the second derivative of f(p) wrt p.
-6
Let j be 0/(-1 + 2 - 0). What is the second derivative of 4*i**4 - i**4 - 3*i + 0 + j wrt i?
36*i**2
Suppose -3*r + 2*r = 0. Let j(s) be the first derivative of r*s**2 + 3 + 3*s - 4 - 2*s**2 + 3. Find the first derivative of j(y) wrt y.
-4
Find the third derivative of -d**4 + 2*d**6 + 15*d**4 + 190 - 152 - 2*d**2 wrt d.
240*d**3 + 336*d
Let g(r) be the first derivative of -2*r**6/3 - 2*r**3/3 - 32*r**2 + 23. Find the second derivative of g(p) wrt p.
-80*p**3 - 4
What is the first derivative of 3 + 0*o**4 - 7*o**4 + 0*o**4 - 8 wrt o?
-28*o**3
Let b(u) = -u**3 - 6*u**2 + 5*u - 10. Let v be b(-7). What is the second derivative of 0*n**v - 4*n**4 - n**4 - 2*n wrt n?
-60*n**2
Differentiate -36 - 2 + 5*q**3 + 3*q**3 with respect to q.
24*q**2
Let x(f) = -f**3 - f**2 + 1. Let w(y) = -3*y**3 - y**2 - 3*y + 53. Let g(p) = -w(p) + x(p). Differentiate g(k) with respect to k.
6*k**2 + 3
Let t(u) = 57*u**3 + 67*u**2 + 11*u - 11. Let c(g) = 29*g**3 + 34*g**2 + 6*g - 6. Let o(a) = -11*c(a) + 6*t(a). Find the third derivative of o(x) wrt x.
138
What is the second derivative of 0*m + 53*m**2 - 29*m**2 - 5*m wrt m?
48
Let w = 9 + -7. Let u(b) = -12*b**2 + b - 9. Let h(y) = 3*y**2 + 2. Let z(j) = w*u(j) + 9*h(j). Find the second derivative of z(l) wrt l.
6
Let f(n) = -57*n**3 + 27*n**2. Let h(a) = -29*a**3 + 13*a**2. Let k(m) = -3*f(m) + 5*h(m). What is the third derivative of k(l) wrt l?
156
Let k be (-16)/12*9/(-2). Let t(n) = -n**3 + 5*n**2 + 8*n - 9. Let i be t(k). Differentiate -2 - 5*d + 2*d + i*d + d with respect to d.
1
What is the derivative of p**4 - 11 + 3*p**4 - 6*p**4 wrt p?
-8*p**3
What is the third derivative of -5316*m**2 + 2*m - 2*m + 5354*m**2 - 17*m**6 wrt m?
-2040*m**3
Let a(x) = x**2 + 4*x - 2. Let l be a(-5). Suppose -l*h = -h + 2*g - 2, 2*h - 1 = -g. Find the first derivative of 2*y**2 - 4*y**2 - 4 + 6 + h*y**2 wrt y.
-4*y
Let m(z) = -25*z**2 + 5*z - 3. Let r(u) = 24*u**2 - 4*u + 3. Let j(h) = -4*m(h) - 5*r(h). What is the derivative of j(b) wrt b?
-40*b
Let s(j) = -j**3 - 9*j**2 + 11*j + 12. Let i be s(-10). Let y be 2/(3/(1 + i)). Find the first derivative of 1 + y*w**2 + 2*w**2 - 3*w**2 wrt w.
2*w
What is the second derivative of 39*u + 9*u**4 + 387*u**2 - 387*u**2 + 18*u**4 wrt u?
324*u**2
Let z(i) be the third derivative of -i**7/840 + i**6/240 + i**4/6 + 3*i**2. Let k(h) be the second derivative of z(h). Find the second derivative of k(p) wrt p.
-6
Let i = 10 + -8. Let n(j) be the second derivative of 0*j**3 - 2*j + 0 + 1/12*j**4 + 0*j**i + 0*j**5 - 1/30*j**6. Find the third derivative of n(g) wrt g.
-24*g
Let h = -8 + 13. Suppose -h = -4*p + 7. Find the second derivative of -p*r**2 + 4*r**2 - 5*r**2 + r + 6*r**2 wrt r.
4
Let d(s) = 7*s**2 - 12*s + 6. Let g(p) = -6*p**2 + 12*p - 7. Let m(j) = -7*d(j) - 6*g(j). Find the second derivative of m(r) wrt r.
-26
Let u(y) be the first derivative of y**6/30 - y**3/6 + 4*y - 1. Let b(q) be the first derivative of u(q). Find the second derivative of b(m) wrt m.
12*m**2
Let n = -6 + 8. Find the second derivative of -s**n + 6*s**2 + 0*s + s wrt s.
10
Let g(i) be the second derivative of i**9/1008 - i**6/180 - i**3/3 + 3*i. Let z(v) be the second derivative of g(v). What is the third derivative of z(t) wrt t?
180*t**2
Let k(z) be the first derivative of z**4/2 - 8*z**3/3 + 1. Find the third derivative of k(w) wrt w.
12
Suppose z + 14 = 3*h - 4*z, -5*h - 2*z + 13 = 0. What is the derivative of 26*s**h + 3 - 58*s**3 + 22*s**3 wrt s?
-30*s**2
Let p(a) be the second derivative of a**8/840 - a**6/180 - a**3/2 - a. Let q(y) be the second derivative of p(y). What is the third derivative of q(m) wrt m?
48*m
Let j(v) be the first derivative of -v**7 - 10*v**3/3 - 4. What is the third derivative of j(h) wrt h?
-840*h**3
Suppose -3*r - 6 = -r, 2*r + 14 = 4*p. Find the first derivative of -4 - 8*t**2 + t**2 + p*t**2 wrt t.
-10*t
Suppose -5 = -4*n - 1. Let s = 5 - 2. Find the first derivative of -b**4 + 2*b**4 - s*b**4 + n wrt b.
-8*b**3
Let f(r) = -5. Let t(s) = 6 - 3 - 4 - s. Let m = 9 - 12. Let g(i) = m*t(i) + f(i). Find the first derivative of g(h) wrt h.
3
Let u be (-266)/(-57)*3/2. Differentiate 4 - 5*x**3 + u - 6*x**3 wrt x.
-33*x**2
Let r be (4/(-14))/(20/(-35)). Let s(m) be the second derivative of r*m**2 - 1/6*m**3 - 2*m + 0. Differentiate s(v) with respect to v.
-1
Let p(j) be the first derivative of -27*j**5/5 - 8*j**3/3 + 14. Find the third derivative of p(m) wrt m.
-648*m
Let h(z) = z**3 - 19*z + 32. Let w(l) = -l**3 + 19*l - 33. Let a(c) = -4*h(c) - 3*w(c). What is the first derivative of a(u) wrt u?
-3*u**2 + 19
Let l(v) = -v**3 - v**2 - v + 1. Let m(c) = -14*c**3 - 16*c**2 - 16*c + 14. Let f(h) = 80*l(h) - 5*m(h). Differentiate f(a) with respect to a.
-30*a**2
Suppose -3*z = 4 - 16. What is the first derivative of 5*r**3 - 2*r**3 + 4 + 4*r**2 - z*r**2 wrt r?
9*r**2
Let x(w) be the third derivative of w**9/1008 - w**5/60 - w**3/2 + 3*w**2. Let k(q) be the first derivative of x(q). Find the second derivative of k(a) wrt a.
60*a**3
Let t(s) = s - 2. Let y(a) = 3*a - 5. Suppose -w + 0*w - 7 = 0. Let q(k) = w*t(k) + 3*y(k). What is the first derivative of q(f) wrt f?
2
Let q(u) = 8*u + 4. Let p(j) be the third derivative of 3*j**4/8 + 5*j**3/6 + 4*j**2. Let x(w) = -5*p(w) + 6*q(w). What is the derivative of x(m) wrt m?
3
Find the third derivative of -6*u**2 - 5*u**4 - 34*u**4 + 9*u**4 wrt u.
-720*u
Let r(b) be the second derivative of b**7/30 - b**4/8 + 2*b**2 - 7*b. Let m(g) be the first derivative of r(g). Find the second derivative of m(k) wrt k.
84*k**2
Let u(y) be the second derivative of y**6/6 + 13*y**4/12 - 9*y. What is the third derivative of u(s) wrt s?
120*s
Let b(q) = -q**2 + q. Let r(h) = -10*h**2 + 2*h + 15. Let c(u) = 2*b(u) - r(u). What is the derivative of c(t) wrt t?
16*t
Let w = 25 + -11. Suppose 4 - w = -5*y. What is the derivative of -t**2 - 1 + 1 - y wrt t?
-2*t
Let m(v) = -v**2 + 4*v + 10. Let x(r) = -2*r**2 + 9*r + 21. Let s(p) = -9*m(p) + 4*x(p). Differentiate s(w) with respect to w.
2*w
Let v(n) = -n**2 - 10*n + 4. Let b be v(-10). Let y = -2 + b. What is the derivative of 0*p**2 - p**2 + 2*p**y + 3 wrt p?
2*p
Find the second derivative of -9*w**2 - 66*w + 44*w + 30*w wrt w.
-18
Let w(r) be the third derivative of r**7/35 + r**6/60 + r**3/2 + 6*r**2 + 2*r. Differentiate w(m) with respect to m.
24*m**3 + 6*m**2
Let m(b) be the first derivative of 0*b + 3 - 3/2*b**2 - 2/3*b**3. Find the second derivative of m(g) wrt g.
-4
Let s = 86 - 55. Find the third derivative of 3*y**2 + 33*y**5 - 10*y**2 - s*y**5 wrt y.
120*y**2
Let s(x) be the second derivative of 3*x**7/14 - 2*x**3/3 - 12*x. What is the second derivative of s(f) wrt f?
180*f**3
Let q(s) = 4*s**4 + 8*s**3 - 4*s**2 + 39. Let i(v) = -3*v**4 - 10*v**3 + 5*v**2 - 38. Let h(p) = -4*i(p) - 5*q(p)