ative of w(t) wrt t?
3
Suppose 5*s = 15, -b - s + 4*s = 14. Let t = 5 + b. Differentiate t*w + 46 - 6*w - 43 + 4*w with respect to w.
-2
Let b(g) = -3*g**3 + 2*g - 1. Let f be b(1). Let t be f + (4 + 2)/1. Differentiate 2*z + t - 2 - 3 with respect to z.
2
Suppose 211 = -4*u + 67. Let r be ((-1)/1)/(9/u). Differentiate 2*p**2 + 2*p - 3*p + p - r with respect to p.
4*p
What is the third derivative of 10*x**6 + 3*x**2 - 12*x**6 - 2*x**2 wrt x?
-240*x**3
Let k(w) be the first derivative of -w**6/3 - 3*w**2 + 6. What is the second derivative of k(l) wrt l?
-40*l**3
Let a(j) be the second derivative of -23*j**8/56 - 3*j**4/4 + 3*j**2/2 + 23*j. Find the third derivative of a(t) wrt t.
-2760*t**3
Let y(j) be the second derivative of -2*j**8/7 + j**4/3 + 2*j. What is the third derivative of y(h) wrt h?
-1920*h**3
Let u(g) be the first derivative of -4*g**2 + 2*g + 7. Differentiate u(r) wrt r.
-8
Let u be 10/(-4)*(-256)/80. What is the third derivative of -u*w**5 + 14*w**5 + 6*w**2 - w**2 wrt w?
360*w**2
Let x(u) be the third derivative of u**8/5040 - u**6/720 + u**5/30 - 3*u**2. Let v(a) be the third derivative of x(a). Differentiate v(c) with respect to c.
8*c
Suppose -o - 8 = o. Let g = o + 9. Find the second derivative of 4*z - 2*z**g - 49*z**2 + 49*z**2 wrt z.
-40*z**3
Let j(z) = -4*z**3 - 2*z. Let q(t) = 9*t**3 + 5*t - 1. Let k(s) = -5*j(s) - 2*q(s). What is the first derivative of k(m) wrt m?
6*m**2
Let q(y) be the third derivative of y**9/504 - 3*y**5/20 + 2*y**2. Find the third derivative of q(h) wrt h.
120*h**3
Let o(b) be the second derivative of -3*b + 0*b**3 - 1/2*b**2 + 0*b**4 - 1/5*b**5 + 0. Differentiate o(j) with respect to j.
-12*j**2
Let b(i) be the second derivative of i**8/1680 + i**6/360 - i**4/12 - 3*i. Let a(f) be the third derivative of b(f). Find the second derivative of a(w) wrt w.
24*w
Let d = 27 + -80/3. Let y(h) be the first derivative of 2 - d*h**3 + 0*h + 1/2*h**2. Find the second derivative of y(q) wrt q.
-2
Suppose 5*o + 2 = -3. Let t(p) = -1. Let g(w) = 2*w + 4. Let u(x) = o*g(x) - 5*t(x). Differentiate u(r) with respect to r.
-2
Let l be 2/(-4*2/(-20)). Suppose -11 = -l*j + 9. What is the third derivative of -10*a**j + 0*a**6 + 2*a**2 + 10*a**4 - 2*a**6 wrt a?
-240*a**3
Find the second derivative of -73*o**5 + 0*o**2 - 48*o - 3*o**2 - 14*o + 76*o**5 wrt o.
60*o**3 - 6
Differentiate 2 - 4 - n + 7 - 1 wrt n.
-1
Let l(a) be the third derivative of a**10/5040 + a**6/360 - a**3/6 + a**2. Let i(q) be the first derivative of l(q). What is the third derivative of i(p) wrt p?
120*p**3
Suppose 2*x + 0 = 4. What is the derivative of 7*v + 0 - 4*v + x wrt v?
3
Find the third derivative of -5*r**4 - 11*r**2 + r**4 - 2*r**4 wrt r.
-144*r
Let q = 37 + -35. Let z(x) be the third derivative of -1/3*x**3 + 0*x + 1/12*x**4 + 0 + q*x**2. Differentiate z(w) with respect to w.
2
Differentiate -8*p**2 - 22 + 2 - 2*p**2 + 3*p**2 wrt p.
-14*p
Let k(q) be the first derivative of 0*q**4 - 2/3*q**3 + 2 - 1/5*q**5 + 0*q**2 + 0*q. What is the third derivative of k(z) wrt z?
-24*z
Let z(d) be the second derivative of -1/12*d**4 + 0*d**3 + 0*d**2 + 0 + 0*d**5 - 1/30*d**6 - 2*d. Find the third derivative of z(b) wrt b.
-24*b
Find the first derivative of 2*i**3 + 120 - 7*i**3 - 113 wrt i.
-15*i**2
Let z(n) be the third derivative of 2*n**2 + 0*n - 1/6*n**4 - 1/2*n**3 + 0. What is the derivative of z(w) wrt w?
-4
Let q(a) = a**3 - 9*a**2 - 10*a + 4. Let z be q(10). Find the second derivative of z*x**4 - 3*x**3 + 0*x**4 + 3*x**3 + 4*x wrt x.
48*x**2
Let s = -5 + 10. Differentiate -2 - 2*i - 2 + s*i + 0 with respect to i.
3
Let t(b) be the third derivative of 0 + 0*b**3 + 1/105*b**7 + 0*b + 2*b**2 + 0*b**5 + 0*b**6 + 1/12*b**4. Find the second derivative of t(y) wrt y.
24*y**2
Differentiate 15 + 3*t + 2*t - 2 + 8*t wrt t.
13
Suppose 1 = 4*j - 19. Find the first derivative of 2 + 0*b**4 + 2*b**4 - j wrt b.
8*b**3
Suppose 2*j + 26 = m, -4*j - 58 - 10 = -3*m. Find the second derivative of m*d - 17*d - 4*d**2 + d**2 wrt d.
-6
Let u(m) = -8*m**2 + 6*m - 4. Let g(r) = 5 - 13*r - 2 + 17*r**2 + 6. Let p(q) = -6*g(q) - 13*u(q). Differentiate p(d) with respect to d.
4*d
Let j = -11 - -9. Let z = j + 5. What is the third derivative of -r**4 - r**2 - 2*r**2 - 12*r**z + 12*r**3 wrt r?
-24*r
Let k(o) = o**3 - 11*o**2 + 11*o + 8. Let p(m) = -6*m**2 + 6*m + 4. Let x(a) = 6*k(a) - 11*p(a). Differentiate x(t) wrt t.
18*t**2
Differentiate 13*t + 23*t - 26*t + 5 with respect to t.
10
Suppose -4*o - 15 = -9*o. Find the second derivative of o*l**5 + 2*l**4 + 5*l - l**4 - l**4 wrt l.
60*l**3
Let s(w) be the second derivative of -2/15*w**6 + 0*w**5 + w - 5/12*w**4 + 0*w**2 + 0*w**3 + 0. What is the third derivative of s(c) wrt c?
-96*c
What is the second derivative of -19*v**3 + 21*v**3 + 0*v + 6*v wrt v?
12*v
Let l = 12 + -9. Let h(x) be the third derivative of 0*x**4 + 0*x + x**2 + 0 + 1/70*x**7 + 0*x**l + 0*x**6 + 1/20*x**5. Find the third derivative of h(b) wrt b.
72*b
Let q(b) = b**2 + 2*b + 1. Let z be q(-5). Suppose 0*p - z = -4*p. Find the second derivative of p*t**4 + 3*t - 4*t**4 - 4*t**5 + 5*t**5 wrt t.
20*t**3
Let l(q) = -51*q**2 - 37*q + 13. Let m(k) = 25*k**2 + 18*k - 6. Let o(y) = 6*l(y) + 13*m(y). What is the second derivative of o(d) wrt d?
38
Differentiate -6*z**2 + 8*z**2 - z**2 - 2 + 5 with respect to z.
2*z
Let g be (-18)/72 + 18/8. What is the second derivative of 5*t**2 + 4*t - 7*t + g*t wrt t?
10
What is the third derivative of 3*q**2 - 144*q**4 + 167*q**4 + 3*q**2 wrt q?
552*q
What is the third derivative of -38*n + 8*n**5 + 38*n - 5*n**2 wrt n?
480*n**2
Let m(p) = 32*p**5 + 5*p**4 + 5*p**3 - 3*p**2 - 5*p. Let x(q) = q**4 + q**3 - q**2 - q. Let u(t) = -m(t) + 5*x(t). What is the third derivative of u(s) wrt s?
-1920*s**2
Let p(x) be the third derivative of 7/60*x**5 + 0*x**3 + 0*x + 1/168*x**8 + 0*x**6 + 0*x**4 - 5*x**2 + 0*x**7 + 0. Find the third derivative of p(s) wrt s.
120*s**2
Let p(h) = 32*h - 19. Let d(v) = -65*v + 39. Let m(n) = -2*d(n) - 5*p(n). Differentiate m(y) with respect to y.
-30
Suppose 1 = -2*w + 13. Let r(t) = t. Let y(u) = -12*u + 3. Let f(l) = w*r(l) + y(l). Differentiate f(j) wrt j.
-6
Let o(z) be the second derivative of -4*z - 2/3*z**3 + 0 - 2*z**2. Differentiate o(w) wrt w.
-4
What is the third derivative of a**2 + 4*a - 4*a + a**3 wrt a?
6
Let h(o) be the second derivative of -19*o**7/42 + 5*o**3/2 + 30*o. Find the second derivative of h(g) wrt g.
-380*g**3
Let y = 10 + -8. Let h = 10 + -7. Find the second derivative of h*j**2 - 5*j**y - 3*j + j wrt j.
-4
Suppose 4 = 3*t + 37. Let a(m) = 3*m**4 - 5*m. Let n(q) = 6*q**4 - 13*q + 0*q + 4*q. Let h(g) = t*a(g) + 6*n(g). Find the second derivative of h(v) wrt v.
36*v**2
Suppose -4*c - 2 = -22. Let h(o) be the third derivative of 2*o**2 + 0*o + 0*o**4 + 1/3*o**3 + 0 + 1/60*o**c. What is the derivative of h(s) wrt s?
2*s
Let n be (-15)/(-3) + 9/(-9). Let r(y) be the first derivative of -2 + 1/3*y**3 + 0*y + 1/4*y**n + 0*y**2. What is the third derivative of r(c) wrt c?
6
Suppose 3*k = 3*n, 1 + 9 = 2*k. Find the first derivative of -n*h**4 + 0 - 6 + 3 + 2*h**4 wrt h.
-12*h**3
Let x(u) be the third derivative of -13*u**6/120 + 11*u**5/60 + 6*u**2. Find the third derivative of x(g) wrt g.
-78
Let d(q) be the first derivative of 0*q - q**3 - 6/7*q**7 + 5 + 0*q**6 + 0*q**4 + 0*q**5 + 0*q**2. Find the third derivative of d(j) wrt j.
-720*j**3
Let k(d) = 2*d**2 - 2*d + 2. Let x be k(2). Let l = x + -4. Differentiate q**l + 1 - 2*q**4 - q**2 with respect to q.
-8*q**3
Let y(m) be the first derivative of -m**9/504 + m**5/30 - m**2/2 - 2. Let d(x) be the second derivative of y(x). Find the third derivative of d(i) wrt i.
-120*i**3
Let m(w) be the first derivative of 2*w**5/5 + 5*w**3 + 16*w + 20. Differentiate m(d) with respect to d.
8*d**3 + 30*d
Let d(i) be the second derivative of 0*i**4 - 2/3*i**3 + 3*i + 0*i**2 + 0 + 1/5*i**5. Find the second derivative of d(j) wrt j.
24*j
Let g(k) be the third derivative of -3*k**2 + 7/6*k**3 + 0*k**4 + 1/120*k**6 + 0*k**5 + 0*k + 0. Differentiate g(l) with respect to l.
3*l**2
Let c(o) = -13*o**2 + 10. Let q(v) = 14*v**2 - 11. Let k(n) = 6*c(n) + 5*q(n). Differentiate k(y) wrt y.
-16*y
What is the second derivative of -5*m**5 - 47*m + 101*m - 31*m