y. Suppose 0 = -2*b - b - 4*u + y, 0 = 5*u - 15. Find the second derivative of 2*c + 2*c**3 + b*c**3 - 2*c**3 wrt c.
12*c
Let o(t) be the first derivative of -5*t**4/4 - t**3 - 10. What is the third derivative of o(k) wrt k?
-30
Let x(o) be the second derivative of 3/4*o**4 + 0*o**2 - 10*o + 0 - 1/42*o**7 + 0*o**5 + 0*o**3 + 0*o**6. What is the third derivative of x(v) wrt v?
-60*v**2
Let v(i) = -3*i - 16. Let h be v(-7). What is the derivative of -3 + 12 - h*j**2 - 5 wrt j?
-10*j
Let k(m) = 5 - 2 - 1 - 2*m + 6*m + m**2. Let c be k(-4). What is the third derivative of -5 + b**5 - 2*b**c + 4*b**2 + 5 wrt b?
60*b**2
Suppose 3*j + 2 = 8. What is the second derivative of 2*d**2 - d - 3*d**2 + 5*d**2 - 5*d**j wrt d?
-2
Let q be (-5 - -1) + (-56)/(-12). Let v(j) be the first derivative of q*j**3 - 2 + 0*j - 3/2*j**2. Find the second derivative of v(l) wrt l.
4
Let r(x) be the second derivative of -5*x**4/6 - 3*x**2 + 4*x. What is the derivative of r(m) wrt m?
-20*m
Let i(j) be the first derivative of -7*j**3/3 - 6*j - 3. What is the first derivative of i(o) wrt o?
-14*o
Let g(d) = d**5 + d**3 - d**2 + 1. Let c(x) = 5*x**3 - 5*x**2 + 2*x + 5. Let u(t) = c(t) - 5*g(t). Find the second derivative of u(w) wrt w.
-100*w**3
Suppose 2*b + 3*b - 15 = 0. Find the third derivative of 0*i**b + i**2 - 2*i**3 + 4*i**3 wrt i.
12
Let p(r) be the first derivative of -r**8/336 - r**6/360 - 4*r**3/3 + 2. Let d(i) be the third derivative of p(i). What is the third derivative of d(q) wrt q?
-120*q
Let g(j) be the third derivative of -7*j**5/60 + 5*j**4/12 + 7*j**2. Find the second derivative of g(n) wrt n.
-14
Let k(s) be the first derivative of -25*s**2 + 2*s + 3. Differentiate k(h) wrt h.
-50
Let p(v) be the first derivative of 23*v**6/6 - 13*v**3/3 - 3. Find the third derivative of p(h) wrt h.
1380*h**2
Let k(b) = -b**3 - 7*b**2 - 6*b. Let l be k(-6). Suppose -a + 5*a = l. Find the third derivative of a*u**6 + u**6 + 5*u**2 - u**2 wrt u.
120*u**3
Let n(i) = -13*i**3 + 10. Let d = -6 + 13. Let k(x) = 6*x**3 - 5. Let w(z) = d*k(z) + 3*n(z). What is the first derivative of w(p) wrt p?
9*p**2
Let x(q) = 3*q**2 - 3*q. Let p be x(2). Let m = 9 + -7. What is the second derivative of -6 + p + u - m*u**4 wrt u?
-24*u**2
Let f = 6 - 6. Let s(v) = 0*v + v - 6*v + f*v + 13. Let q(u) = 3*u - 7. Let d(r) = 11*q(r) + 6*s(r). Find the first derivative of d(y) wrt y.
3
Let w(v) be the second derivative of v**6/15 + 11*v**3/6 + 16*v. Find the second derivative of w(y) wrt y.
24*y**2
Let t(x) be the second derivative of x**3/3 + 4*x**2 - 8*x. What is the first derivative of t(s) wrt s?
2
Find the first derivative of -d**2 + 6*d**2 - 1 - 6*d**2 wrt d.
-2*d
Let u(b) be the first derivative of 0*b - b**2 - 4/3*b**3 - 2. What is the second derivative of u(o) wrt o?
-8
Let h = 36 + -17. Let p = h - 13. Find the third derivative of -f**p + 4*f**2 + 3*f**6 - 2*f**2 wrt f.
240*f**3
Find the third derivative of 14*r**2 - 29*r**2 + 10*r**6 + 13*r**2 wrt r.
1200*r**3
Let r(o) be the third derivative of -o**8/84 + 17*o**4/24 + 3*o**2. Find the second derivative of r(x) wrt x.
-80*x**3
Suppose 4*s + 0*s = -4*a + 24, 2*a - 3*s = 17. Let v = a + 2. Differentiate -9*q**2 + v*q**2 - 1 - q**4 with respect to q.
-4*q**3
Let i(r) = -1. Suppose -4*c - 5*s = 7, 8*c - 3*c = 5*s - 20. Let y(a) = -a. Let n(p) = c*i(p) + y(p). Differentiate n(f) with respect to f.
-1
Suppose 4*o - 4 = 5*o. Let u be (-63)/(-14) - (-2)/o. Find the first derivative of w**2 - 4 + 5 - u + 4 wrt w.
2*w
Let s(m) be the first derivative of 0*m + 0*m**6 + 0*m**4 - 1 + 0*m**5 + 0*m**2 + 2/7*m**7 - 1/3*m**3. Find the third derivative of s(f) wrt f.
240*f**3
Differentiate 5*v**3 - 3*v**3 + 1 + 0 with respect to v.
6*v**2
Let z be (-9 + 2)/(3/6). Let s be ((-24)/28)/(2/z). What is the third derivative of l**2 + l**2 + l**s + 0*l**2 wrt l?
120*l**3
Let n be 8 + -5 + 6 + 0. Let a = n + -7. Differentiate -3*f**4 - 1 + 36*f**2 - 36*f**a with respect to f.
-12*f**3
Let i(m) = -2*m**2 + m. Let r be 8/6 - 4/(-6). Let u(k) = -k**2. Let p = 8 + -13. Let t(z) = p*u(z) + r*i(z). Find the second derivative of t(q) wrt q.
2
What is the derivative of -4 - 16*y**3 - 2 - 8 + 0 wrt y?
-48*y**2
Let o(r) be the second derivative of 0*r**2 - 1/2*r**4 - 6*r - 4/3*r**3 + 0. What is the second derivative of o(v) wrt v?
-12
Let p(o) be the first derivative of 16*o**3 + o**2 + 25*o + 30. What is the second derivative of p(q) wrt q?
96
Let j(q) = 7*q**2 + 3*q + 4. Let t(r) = -8*r**2 - 4*r - 5. Let c be 4 - (-1 - (1 + -1)). Let d(w) = c*j(w) + 4*t(w). Find the second derivative of d(b) wrt b.
6
Let s(u) be the third derivative of 5*u**7/42 - 5*u**5/12 - 2*u**2. Find the third derivative of s(p) wrt p.
600*p
Suppose -4*t + 9*t = 15. Find the third derivative of -2*z**2 - z**t + 4*z**3 - 2*z**3 wrt z.
6
Let v(i) = -2*i**2 - 1. Let n(t) = -t**2 - 1. Let j(g) = -6*n(g) + 5*v(g). Differentiate j(s) wrt s.
-8*s
Find the second derivative of -b**4 - b**4 + 5*b - 8*b**4 wrt b.
-120*b**2
Suppose 0 = 5*a + 6 - 21. Let v be (-3)/(9/a) + 4. Find the second derivative of v*p**3 + 0*p + 2*p - 2*p**3 wrt p.
6*p
What is the derivative of 9 - 31*p**2 + 5 - 8*p**2 wrt p?
-78*p
Suppose -2*r + 3*a + 124 = 0, -3*r - 3*a = -a - 186. What is the second derivative of 32*c**2 - r*c**2 + 6*c + 27*c**2 wrt c?
-6
Differentiate 9*q**4 - 18*q**4 + 11 - 7*q**4 + 7 with respect to q.
-64*q**3
Suppose 18 = 3*p + 6. Let w(v) be the second derivative of 0*v**2 - 1/4*v**4 - 1/6*v**3 + 0 + p*v. What is the second derivative of w(h) wrt h?
-6
Suppose -h - h = 0. Suppose 2*j - 3*u - 8 = 3, 0 = 2*j - 4*u - 14. What is the first derivative of -2*m**3 + j + h + 0 wrt m?
-6*m**2
Let k(r) be the second derivative of 0 + 0*r**5 - r + 0*r**4 + 1/10*r**6 + 3/2*r**2 + 0*r**3. What is the derivative of k(t) wrt t?
12*t**3
Let q(y) be the second derivative of -y**6/30 + 7*y**3/3 + 7*y. What is the second derivative of q(r) wrt r?
-12*r**2
Let d(o) = 14*o**2 + 11. Let r(v) = -v**2. Let p(i) = -d(i) - 3*r(i). What is the first derivative of p(u) wrt u?
-22*u
Let u(l) = 40*l**3 - 6*l**2 + 5*l. Let x(v) = v**3 - v**2 - v. Let a(y) = -u(y) + 6*x(y). Find the second derivative of a(o) wrt o.
-204*o
Suppose -15 = -3*w - 0*w. Suppose 0 = w*m - 33 - 12. What is the derivative of 0 - 10 + q + m wrt q?
1
Let o(z) be the second derivative of 3*z**8/56 - 5*z**4/6 + 6*z. What is the third derivative of o(f) wrt f?
360*f**3
Let o(t) be the first derivative of 27*t**2/2 + 35*t + 21. What is the first derivative of o(p) wrt p?
27
Suppose -6 = -11*m + 9*m. What is the second derivative of -3 - 7*p**5 + 4*p**5 + 2*p + m wrt p?
-60*p**3
What is the second derivative of -1 + c + 26*c**3 - 11*c**3 + 4*c**2 - 3*c**2 wrt c?
90*c + 2
Let f be 21/14*(3 - 1). Differentiate -1 - f + 3*d - 1 + 1 wrt d.
3
Suppose 7*y - 5 - 16 = 0. Let m(q) = q - 5. Let i be m(7). Find the second derivative of 3*d + i*d**3 + d - d**y wrt d.
6*d
Let p(x) be the first derivative of x**4 - 2*x**2 + 6*x + 5. Let v(f) = 4*f**3 - 4*f + 5. Let t(d) = -5*p(d) + 6*v(d). Find the second derivative of t(q) wrt q.
24*q
Suppose -2*y = 6, 0 = -2*j - j + 5*y + 33. Let k = -4 + j. Find the third derivative of 2*r**2 - 5*r**2 + r**k + 3*r**3 wrt r.
18
Let l(p) be the first derivative of -p**6/6 + 6*p**2 - 10. Find the second derivative of l(n) wrt n.
-20*n**3
Let j(u) be the third derivative of -u**7/21 + 5*u**4/24 - 5*u**2. What is the second derivative of j(c) wrt c?
-120*c**2
Let a(c) = -3*c - 4. Let s be a(-3). Suppose 0*n - 20 = -s*n. What is the derivative of -3*k**n + 3*k - 3*k + 1 wrt k?
-12*k**3
Suppose 0 = -5*u + 29 - 9. Suppose u*b + b = 15. What is the third derivative of b*g + 7*g**4 - 3*g + 2*g**2 - 11*g**4 wrt g?
-96*g
Suppose -4*p = -2*p - 48. Find the first derivative of -1 - i**4 - 24*i + p*i wrt i.
-4*i**3
Suppose 3*j + 3 = 3*f, 2*f - 2 = j + 3. Let m(s) = -s**2 + 5*s - 4. Let w be m(j). What is the third derivative of -o**2 - 2*o**3 + 3*o**3 - o**w wrt o?
6
Let z = -12 - -12. Let x(k) be the first derivative of z*k**3 + 2 + 1/2*k**2 + 0*k - 1/4*k**4. What is the second derivative of x(m) wrt m?
-6*m
Let j(n) be the first derivative of n**2/2 + n - 4. Let p(u) = -7*u - 6. Let d(c) = -5*j(c) - p(c). Differentiate d(w) wrt w.
2
Suppose -8*h - 6 = -30. Let i