k**4 - 54 + 18*k**2 wrt k.
8*k**3 + 84*k**2
Let t(n) = 3*n - 14. Let u be t(7). Suppose q + 1 = 3. What is the second derivative of -q*i + 5*i**2 + 0*i - u*i**2 wrt i?
-4
Suppose -3*k - h = 0, -k + 0*k + 5*h = 0. Differentiate 2 + k - 4 - 2*a**4 with respect to a.
-8*a**3
Suppose 1 = -3*b + b - 3*r, 20 = 2*b - 4*r. Find the third derivative of -4*u**2 - 2*u**b - 2 + 2 + 3*u**2 wrt u.
-48*u
Let n(t) = t**2 + 4*t + 2. Let c be n(-5). Find the third derivative of 7*m**2 - 2*m**2 - c*m**2 - 3*m**4 wrt m.
-72*m
Let l be 4 + 2*(-2)/4. Let x(d) = -2. Let q(p) = -p**2 + 3. Let h be 2/(-10) + 210/50. Let f(j) = h*x(j) + l*q(j). What is the first derivative of f(w) wrt w?
-6*w
Let y(r) = -r**3 + r**2 + 2*r + 1. Let x(k) = 36*k**3 - 51*k**2 - 8*k - 4. Let t(u) = -x(u) - 4*y(u). Find the third derivative of t(n) wrt n.
-192
Let a(t) be the first derivative of 0*t**2 + 0*t + 4/3*t**3 - 1/7*t**7 + 0*t**4 - 2 + 0*t**6 + 0*t**5. What is the third derivative of a(w) wrt w?
-120*w**3
Find the first derivative of -38 + 3*q**2 - 8*q**2 + 1 - 2*q**2 - q**3 wrt q.
-3*q**2 - 14*q
What is the derivative of -27 + 2*z**2 + 6 + 9*z**2 wrt z?
22*z
Let w(q) be the second derivative of 0*q**3 + 0*q**5 - 1/12*q**4 + 4*q + 1/56*q**8 + 0 + 0*q**2 + 0*q**6 + 0*q**7. What is the third derivative of w(j) wrt j?
120*j**3
Let v(s) be the first derivative of -4*s**3/3 + 6*s - 3. What is the derivative of v(g) wrt g?
-8*g
Suppose 3*w + s = 2*s + 8, 2*s = 2. What is the derivative of 3 + 5*h**2 - w*h**2 - 8 wrt h?
4*h
Let i(z) be the third derivative of -5*z**8/336 + z**5/20 + 2*z**2. What is the third derivative of i(y) wrt y?
-300*y**2
Let k(h) = 4*h**4 + 5*h + 9. Let g(q) = -2*q**4 - 3*q - 4. Let m(d) = 5*g(d) + 3*k(d). Differentiate m(y) wrt y.
8*y**3
Let x be ((-3)/(-9))/(3 - 14/6). Let b(v) be the first derivative of 0*v + x*v**2 + 2 - 2/3*v**3. What is the second derivative of b(a) wrt a?
-4
Suppose 2*n + 1 = 5. What is the third derivative of -7*x**6 + 0*x**6 - 24*x**n + 28*x**2 wrt x?
-840*x**3
Let v(b) be the second derivative of 3*b**5/2 + 43*b**4/12 + 20*b. What is the third derivative of v(p) wrt p?
180
Let y = 15 + -4. Let j = y - 6. Find the third derivative of -2*o**2 + 0*o**j - o**5 + 0*o**2 wrt o.
-60*o**2
What is the first derivative of -19 + 6 - 61*a + 61*a - 8*a**2 wrt a?
-16*a
Let z = -1 - -2. Differentiate -z - 3 - n - 2*n wrt n.
-3
Let i(l) be the third derivative of 0*l**3 + 0*l + 1/20*l**5 + 0 - 4*l**2 + 1/40*l**6 + 0*l**4. What is the third derivative of i(c) wrt c?
18
Find the first derivative of 44*c + 3*c + 15 + 11 + 6 wrt c.
47
Let s(j) = j**3 + j**2 + 22. Let r be s(0). Suppose -2*k - 2*k + r = 2*a, 27 = 2*a + 5*k. What is the first derivative of -4*g**2 + g**2 - 3 + 4 + a wrt g?
-6*g
Let k(v) = -v**3 + 7*v**2. Let q be k(7). Find the second derivative of q*u - 3*u - u**4 - 2*u**4 wrt u.
-36*u**2
Let z = -5 - -9. Differentiate -2*y**2 + z - 3 + y - y with respect to y.
-4*y
Let s(o) be the second derivative of -o**10/30240 + o**7/1260 + o**4/6 - 2*o. Let r(n) be the third derivative of s(n). Find the third derivative of r(i) wrt i.
-60*i**2
Let i(j) = 2*j - 6. Let u be i(7). Let y be (u/(-12))/((-2)/6). What is the second derivative of m**y - m + 2*m**2 + 3*m wrt m?
6
Let j(x) be the third derivative of x**8/1344 + x**5/60 - x**4/12 + 7*x**2. Let q(c) be the second derivative of j(c). What is the derivative of q(d) wrt d?
15*d**2
Let j(a) be the first derivative of -a**7/210 - a**3/2 - a**2/2 - 3. Let v(b) be the second derivative of j(b). Differentiate v(s) with respect to s.
-4*s**3
What is the third derivative of -f**6 + 0*f**4 + 2*f**4 - 2*f**4 - 4*f**2 wrt f?
-120*f**3
What is the second derivative of -7*b + 9*b - 40*b - 20*b**4 wrt b?
-240*b**2
Let c(z) = 5*z**5 + 6*z**3 - z**2 + 6*z - 6. Let m(r) = 5*r**5 + 7*r**3 + 7*r - 7. Let p(s) = 7*c(s) - 6*m(s). What is the third derivative of p(j) wrt j?
300*j**2
What is the second derivative of -5*w + 38*w**4 - 5*w - 31*w**4 wrt w?
84*w**2
Let f(o) be the first derivative of 3*o**4/4 + 2*o**3/3 - 7. Find the third derivative of f(i) wrt i.
18
Suppose -3*w + 8 = w. Find the third derivative of -2*l**5 + 195*l**3 + 4*l**w - 195*l**3 wrt l.
-120*l**2
Let n be -2 + 1 - (-6 + 1). Let w = 7 - n. What is the second derivative of -4*u**3 + u**w + u**3 + 2*u wrt u?
-12*u
Let f(q) be the third derivative of q**9/7560 + q**5/20 - 7*q**4/24 - q**2. Let r(g) be the second derivative of f(g). Differentiate r(c) wrt c.
8*c**3
Let z(d) be the third derivative of d**6/20 + 13*d**5/60 - 32*d**2. What is the third derivative of z(p) wrt p?
36
Let x(k) = -5*k - 4. Let c(h) = -6*h - 5. Suppose 0 = 7*a - 4*a - 12. Let b(f) = a*x(f) - 3*c(f). Differentiate b(q) wrt q.
-2
Let h(d) be the third derivative of d**6/120 + 13*d**5/60 - 3*d**2. Find the third derivative of h(a) wrt a.
6
Let f be ((-2)/1)/(2 - 3). Let q(j) be the first derivative of 1 + 4*j**f - 2*j**2 - 2*j**2 + j**2 + j. Differentiate q(b) with respect to b.
2
Find the first derivative of 7 - 2*b**3 - b**2 + 2*b**2 - b**2 wrt b.
-6*b**2
Suppose 5*h = 9*h. Let a be h + (-9)/(-1 + -2). Find the first derivative of -5*s**2 + a*s**2 - 1 - 3 wrt s.
-4*s
Let t(r) be the second derivative of -3*r**5/20 - r**4/4 + 6*r. Find the third derivative of t(a) wrt a.
-18
Let f(g) be the first derivative of -g**2 - g - 1. Let k(j) = 2*j - 3 + 5*j + 5 - 2*j. Let q(v) = 9*f(v) + 4*k(v). Differentiate q(b) with respect to b.
2
Let p = -2 + 1. Let s(b) = 4*b**4 + b**2 + b - 4. Let a(m) = 0*m + m**2 + m + 0*m**2 + m**4 - 1. Let r(i) = p*s(i) + a(i). Differentiate r(q) with respect to q.
-12*q**3
Let y(s) be the second derivative of -2*s + 0*s**4 + 0*s**3 + 0 + 0*s**5 - 1/2*s**2 + 2/15*s**6. What is the derivative of y(u) wrt u?
16*u**3
Let l(w) be the second derivative of 0*w**2 - 1/4*w**5 + 3*w + 0*w**4 + 0 - 2/3*w**3. What is the second derivative of l(a) wrt a?
-30*a
Let b be 2/8 - (-66)/24. Find the second derivative of -4*j + 4*j + 2*j**4 - b*j wrt j.
24*j**2
Let v(q) be the third derivative of -1/120*q**6 + 0 + 1/60*q**5 + 0*q**3 + 0*q**4 + 0*q - q**2. Find the third derivative of v(d) wrt d.
-6
Let h(z) = -z**5 - z**4 - z**2 + z. Let m(u) = 12*u**5 + 6*u**4 + 8*u**2 - 6*u. Let x(d) = 6*h(d) + m(d). What is the third derivative of x(v) wrt v?
360*v**2
Suppose 11 = 4*k + 5*q, -3*q + 0 = -k + 7. Find the third derivative of 4*j**4 - 2*j**2 - 2*j**4 + 4*j**4 - 4*j**k wrt j.
48*j
Suppose 3*l = -3 + 9. Find the second derivative of 4*c - l*c**3 - 3 + 3 + 4*c**3 wrt c.
12*c
Let t(p) be the first derivative of p**6 - 11*p**2/2 - 14. Find the second derivative of t(w) wrt w.
120*w**3
Let g(i) = -i**2 - 2*i - 3. Suppose -3*y - 27 = -6*y. Let q(t) = -5*t**2 - 9*t - 13. Let h(j) = y*g(j) - 2*q(j). What is the first derivative of h(s) wrt s?
2*s
Let b(h) be the first derivative of -2*h**6/15 - h**3/2 + h - 3. Let a(m) be the first derivative of b(m). What is the second derivative of a(q) wrt q?
-48*q**2
Let p(f) = -8*f**4 - 3*f - 2. Let i(r) = 17*r**4 + 7*r + 3. Let q(u) = 3*i(u) + 7*p(u). Differentiate q(s) with respect to s.
-20*s**3
Let f be (-2 - -6)/(0 + 1). Suppose -2*h + 8 = -5*w, -4*h + 4*w = -f - 12. What is the second derivative of -3*p**2 - h*p**2 - p + 4*p**2 wrt p?
-6
Let w(b) = 6*b**3 - 69*b**2 + 5. Let d(a) = -8*a**3 + 103*a**2 - 7. Let t(c) = 5*d(c) + 7*w(c). Find the third derivative of t(n) wrt n.
12
Let b(k) = -2*k - 2. Let u be b(-2). Let p = u + 0. What is the first derivative of 2*v - 1 - 3 + p wrt v?
2
Let c(f) be the second derivative of 0*f**3 + 0 + 3/2*f**2 - 3*f + 0*f**4 + 3/20*f**5. What is the derivative of c(q) wrt q?
9*q**2
Let k(l) be the third derivative of -l**6/60 + l**5/10 - 31*l**4/24 + 9*l**2 + 3*l. What is the second derivative of k(w) wrt w?
-12*w + 12
Let c(x) = -x**3 - 15*x**2 - 5. Let i(j) = j**3 + 7*j**2 + 2. Let p = 0 + -5. Let m(b) = p*i(b) - 2*c(b). Find the third derivative of m(u) wrt u.
-18
Let i(z) = z**2 - z + 1. Let b(y) = -2 - 13*y**2 + y - 4*y + 2*y + 4*y. Let n(u) = b(u) + 2*i(u). What is the second derivative of n(w) wrt w?
-22
Let n(x) be the second derivative of 13*x**4/4 - 24*x**2 - 29*x. What is the first derivative of n(z) wrt z?
78*z
Let i = 9 + -6. What is the third derivative of -z**2 - 4*z**3 + z**i - z**3 + 3*z**3 wrt z?
