 - 1. Let t = 8 - 7. Let y(g) = 1. Let j(a) = t*y(a) - m(a). What is the first derivative of j(r) wrt r?
3
Let m(r) be the first derivative of -r**7 + 2*r**3 + 1. What is the third derivative of m(t) wrt t?
-840*t**3
Suppose 3*a + 4*p = -10, 0*a - 2*p - 14 = -3*a. Suppose a = -4*q + 5*q. What is the second derivative of 0*w**2 - 3*w - 5*w**2 - w + 2*w**q wrt w?
-6
Let w = 18 - 27. Let q be 3/(-1*w/6). Find the third derivative of -2*p**2 - 2*p**6 + 2*p**q - 2*p**2 wrt p.
-240*p**3
Differentiate -4*f**2 - 10 - 4 - 1 wrt f.
-8*f
Let i(b) = -2*b**6 - 3*b**5 + 19*b**2. Let r(k) = k**5. Let x(g) = i(g) + 3*r(g). Find the third derivative of x(m) wrt m.
-240*m**3
Let r(m) = 2*m**2 - m + 1. Let b be (2/(-6))/(5/(-15)). Let a be r(b). What is the second derivative of -g - 3 + 3 + a*g**5 wrt g?
40*g**3
Suppose -28 = -4*p - 4. Suppose 0 = 3*v - v - p. Differentiate -2*z**2 - v + z - 4*z + 3*z with respect to z.
-4*z
Let x(m) be the first derivative of -3*m**7/7 + 7*m**3/3 - 23. What is the third derivative of x(b) wrt b?
-360*b**3
Find the third derivative of 37*b**2 + 24*b**4 + 2492*b**5 - 2490*b**5 - 3*b**4 wrt b.
120*b**2 + 504*b
Let x(v) = -v**2 + v + 2. Let m be x(0). What is the third derivative of 4*z**2 + 3*z**4 + 0*z**m + 6*z**6 - 3*z**4 wrt z?
720*z**3
Suppose 0 = 4*j + 5 - 1. Let t(d) = 2*d**2 + d + 1. Let g be t(j). Find the third derivative of 3*y**4 - 29 + 29 - g*y**2 - 2*y**2 wrt y.
72*y
Let p(o) = -o**3 + 2 - 4*o - 2*o + 3*o + 5*o**2. Let w be p(4). Find the second derivative of -f**3 + f + w - 6 wrt f.
-6*f
Let a be (-9)/(-6*1/2). Let z(l) be the first derivative of 2 + 0*l + 3/2*l**2 - 2/3*l**a. Find the second derivative of z(p) wrt p.
-4
Differentiate 2*f**2 + 18*f**2 + 9 - 15 - 9 with respect to f.
40*f
Let f be 8/20 + (-8)/(-5). What is the third derivative of 4*s**f + 7*s**6 - 9*s**3 + 2*s**6 + 9*s**3 wrt s?
1080*s**3
Find the third derivative of -11*u**2 + 0*u**6 - 4*u**6 + 3*u**2 - u**6 wrt u.
-600*u**3
Let t(s) = -6*s**4 + 2*s**3 + 2*s**2 - 4. Let y(m) = 31*m**4 - 11*m**3 - 11*m**2 + 19. Let i(h) = 11*t(h) + 2*y(h). What is the first derivative of i(v) wrt v?
-16*v**3
Let o = -1 + 1. Differentiate -10 + o*i + 7 - 2*i wrt i.
-2
Let t = -1 + 2. Find the first derivative of -2*z**2 + 3*z**2 - t + z**2 wrt z.
4*z
Find the second derivative of 2377*o**2 + 13*o**5 + 0*o**5 - 24*o - 2377*o**2 wrt o.
260*o**3
Let c(n) be the third derivative of -n**7/210 + 5*n**4/24 - 5*n**3/6 - 7*n**2. Let s(x) be the first derivative of c(x). What is the derivative of s(b) wrt b?
-12*b**2
Let k(d) = -5*d**3 + 18*d**2 + 2*d. Let a(z) = 11*z**3 - 36*z**2 - 5*z. Let q(h) = 4*a(h) + 10*k(h). What is the third derivative of q(t) wrt t?
-36
Find the third derivative of t**2 - 5*t**4 + 0*t**2 + t**4 + 3*t**4 wrt t.
-24*t
Let v(h) be the second derivative of 2*h**6/5 - h**3/6 + 3*h. What is the second derivative of v(n) wrt n?
144*n**2
Differentiate -2*p**3 + 15 + 3*p**3 - 44 + 11 wrt p.
3*p**2
Let u(t) be the first derivative of t**6/15 + t**2 + 3*t + 1. Let n(x) be the first derivative of u(x). Differentiate n(h) with respect to h.
8*h**3
Suppose -3*u = -5 + 2. Differentiate -1 + 2*g + u - 3 + 0 wrt g.
2
Let q(f) = 15*f**3 + 19*f**2 + 4*f - 4. Let n(y) = 494*y**3 + 627*y**2 + 133*y - 133. Let d(g) = 4*n(g) - 133*q(g). Find the third derivative of d(m) wrt m.
-114
Let y be 2 - (0 - -4) - -7. Find the second derivative of 5*w + 2*w**2 - 4*w - y*w + 5*w wrt w.
4
Suppose 2*p + 0*y = -4*y + 6, 6 = 2*p - y. Let h(k) be the first derivative of k**2 - 1 + 0*k - 1/3*k**p. What is the second derivative of h(g) wrt g?
-2
Let z = 5 - 3. What is the derivative of -z*p**2 + 2 + 0 + 5*p**2 wrt p?
6*p
Let x(z) be the first derivative of -7*z**5 + 32*z + 34. What is the derivative of x(g) wrt g?
-140*g**3
Let l(u) be the third derivative of -37*u**5/60 + 23*u**3/3 - 32*u**2. What is the first derivative of l(r) wrt r?
-74*r
Let u(f) be the first derivative of 0*f**2 + 4/3*f**3 + 6 + 4*f. What is the derivative of u(j) wrt j?
8*j
Let q be 10/6 - (-1)/3. Let h = q - -1. Find the third derivative of -1 + h*z**5 + 1 + 0 + z**2 wrt z.
180*z**2
Let z(n) = n + 8. Let j be z(-5). Let f(s) = s**2 - 5*s - 9. Let y be f(7). Find the second derivative of -p**y - j + 3 + 2*p wrt p.
-20*p**3
Suppose 4*c - 44 = -5*i, -4*i - 3*c = c - 32. Suppose i = -4*y + 8*y. What is the second derivative of -2*t + 0*t**3 + 4*t**y - 5*t**3 wrt t?
-6*t
Suppose i + 4*i - 30 = 0. What is the third derivative of 10*f - 10*f + 5*f**2 - 4*f**i wrt f?
-480*f**3
What is the first derivative of -21*m + 37 + 16*m - 3*m wrt m?
-8
Let b(r) be the first derivative of 3*r**4/2 - 17*r**3/3 - 10. Find the third derivative of b(z) wrt z.
36
Suppose k - 12 = -2*k. Suppose -9*u + 10 = -k*u. What is the second derivative of 3*q**4 + 0*q - u*q + 3*q wrt q?
36*q**2
Let j(x) = 2*x + 11. Let o be j(-9). Let f = -5 - o. Find the third derivative of -2*y**4 + 2*y**4 - 3*y**5 - 2*y**f wrt y.
-180*y**2
Let p(z) be the second derivative of z**6/3 - 7*z**4/12 + 9*z. Find the third derivative of p(c) wrt c.
240*c
Let n(p) be the third derivative of -p**7/35 - p**4/3 - p**2. Find the second derivative of n(m) wrt m.
-72*m**2
Let i(o) be the first derivative of o**8/112 - o**4/12 - 3*o**2 + 5. Let g(n) be the second derivative of i(n). What is the second derivative of g(c) wrt c?
60*c**3
Let i(h) = -h - 1. Let u be i(-3). What is the second derivative of -3*x**2 - 4*x + 0*x**2 + x + 0*x**u wrt x?
-6
Let h(q) be the first derivative of 2*q**5/5 - q**4 - 2*q**3/3 - 3*q**2/2 + 39. What is the third derivative of h(n) wrt n?
48*n - 24
Let l(h) be the third derivative of h**4/3 - 7*h**3/6 - 6*h**2. What is the first derivative of l(b) wrt b?
8
Let p(z) be the second derivative of z**6/6 + 5*z**2/2 - 6*z. What is the derivative of p(c) wrt c?
20*c**3
Let q(r) be the third derivative of -1/6*r**3 + 1/6*r**4 + 0 + 0*r - 4*r**2. What is the first derivative of q(i) wrt i?
4
Let j(q) = -2*q**4 + 2*q**3 - q**2 + 2*q + 2. Let x(a) = -a**6 + a**4 - a**3 - a - 1. Let w(v) = -3*j(v) - 6*x(v). Find the third derivative of w(m) wrt m.
720*m**3
Suppose 15*o = 19*o - 8. What is the third derivative of 3*u**o - 7*u**4 - 6*u**2 + u**2 wrt u?
-168*u
Let b(l) = l**2 + 3*l + 3. Let x be b(-4). Find the second derivative of 3*n**3 - x*n + 13*n - 2*n**3 wrt n.
6*n
Let c(m) = 5*m**2 - 1. Let b be c(-1). Suppose -3*w - 4*l = -26, b*l = 2*w - 0 + 16. What is the derivative of -3*t**w + 4 + 2 - 2 wrt t?
-6*t
Let g be (3/3)/((-4)/(-16)). Let d = 9 - 3. Find the second derivative of -j**3 + 6 - g*j - d wrt j.
-6*j
Let s(b) = -9*b**4 + 5*b**2 + 16*b - 5. Let g(c) = 36*c**4 - 21*c**2 - 63*c + 21. Let j(v) = -5*g(v) - 21*s(v). What is the second derivative of j(p) wrt p?
108*p**2
Suppose -4*o + y + 17 = 7, 3*o - 10 = 2*y. Let a = 4 - o. Differentiate 4 - 3 + 2 + p**a wrt p.
2*p
Suppose 0 = 5*l + a - 50, 4*l + 5*a = 3*a + 34. Let k = l - 7. Find the first derivative of -2 + 2*p**3 - k*p**3 + 3*p**4 + 2*p**3 wrt p.
12*p**3
Let c(x) be the second derivative of -x**2 + 1/6*x**3 + x + 0. Differentiate c(p) with respect to p.
1
Suppose 2*m + 0*m + 6 = 0. Let v = -1 - m. What is the first derivative of 0 + v*a**2 + 1 + 1 wrt a?
4*a
Let x(w) be the second derivative of w**7/14 - w**6/6 - w**3/6 + 2*w**2 + 13*w. Find the second derivative of x(j) wrt j.
60*j**3 - 60*j**2
Let z(g) = g**3 + 2*g**2 - 3*g + 2. Let j be z(-3). Find the third derivative of 5*y**6 + 3*y**2 - 3*y**6 - 2*y**j wrt y.
240*y**3
Let o(k) be the third derivative of k**9/252 + k**5/60 + 9*k**2. Find the third derivative of o(x) wrt x.
240*x**3
Let n(y) be the first derivative of -5*y**3/3 + y + 7. Differentiate n(b) with respect to b.
-10*b
Suppose -2*k + 30 = 4*k. Let b(f) be the third derivative of 0*f + 0*f**4 - 2*f**2 + 0 + 1/20*f**k - 1/6*f**3. What is the derivative of b(v) wrt v?
6*v
Let m(y) be the first derivative of -4*y + 2 - 3/2*y**2. What is the derivative of m(z) wrt z?
-3
Let u(o) = -14*o**4 + 32*o**2 + 8*o - 8. Let g(i) = -9*i**4 + 21*i**2 + 5*i - 5. Let h(s) = -8*g(s) + 5*u(s). Find the third derivative of h(y) wrt y.
48*y
Let y(r) = r**2 - r**3 + 2 + 7*r**2 + 6*r - 3*r**2. Let q be y(6). Find the third derivative of 3*v**5 - v**q - 2*v**5 + 2*v**2 wrt v.
60*v**2
Let l(j) = -j**3 - j**2 