.
24
Let j be 4/(-26) + (-965)/(-780) - 1. Let m(i) be the second derivative of -1/2*i**3 + 0 - j*i**4 - 2*i + 0*i**2. Find the second derivative of m(d) wrt d.
-2
Let s(v) = 36*v**2 - 41*v - 120. Let r(d) = 7*d**2 - 8*d - 24. Let u(l) = -11*r(l) + 2*s(l). What is the first derivative of u(j) wrt j?
-10*j + 6
Let q(l) = -l**2 + 9*l + 12. Let d be q(10). Let g(v) be the first derivative of -1/2*v**d - 1 + v. What is the first derivative of g(y) wrt y?
-1
Let k(h) be the first derivative of -2*h**6/15 + 4*h**3/3 + 7*h + 2. Let m(l) be the first derivative of k(l). Find the second derivative of m(z) wrt z.
-48*z**2
Let o(v) = -8*v**3 + v**2 - v - 2. Let f(l) = l**3 - l**2 + l. Let h = -19 + 20. Let n(x) = h*o(x) + f(x). Find the first derivative of n(k) wrt k.
-21*k**2
Let u(z) = 2 - 3*z + z**2 - 2*z**2 + 0. Let f be u(-3). Find the first derivative of 2 - f*v + 5*v - 4*v - 2*v wrt v.
-3
Let w(r) be the second derivative of 0*r**3 - 3*r + 0*r**5 - 1/21*r**7 + 0 + 0*r**2 + 1/4*r**4 + 0*r**6. What is the third derivative of w(x) wrt x?
-120*x**2
Let n(y) be the second derivative of y**8/336 - y**4/12 + y**2 + 2*y. Let k(w) be the first derivative of n(w). Find the second derivative of k(o) wrt o.
20*o**3
Let x(w) = -4*w**3 + 3*w**2 + 6*w + 3. Let q(o) = o**2 + 1. Let i(z) = -3*q(z) + x(z). Find the second derivative of i(k) wrt k.
-24*k
Let r = 7 + -2. Find the first derivative of -4 + r*p**2 + 3 + 0*p**2 wrt p.
10*p
Let f be (13 - 4) + (-8)/2. Let s(z) be the first derivative of 2/5*z**f - 1/2*z**2 + 0*z**4 + 0*z**3 + 0*z + 3. What is the second derivative of s(h) wrt h?
24*h**2
Suppose -2*c + 0 + 2 = 0. Find the first derivative of -4 + 5 + 3*b**3 + c - b**3 wrt b.
6*b**2
Let t(f) be the third derivative of 2*f**2 - 7/120*f**6 + 0*f + 0 + 0*f**5 + 1/8*f**4 + 0*f**3. What is the second derivative of t(u) wrt u?
-42*u
What is the third derivative of 12*v**2 - 1181*v**4 - 32*v**6 + 1181*v**4 wrt v?
-3840*v**3
What is the third derivative of -u**4 + 12*u**2 + u**4 + 143*u**5 - 121*u**5 wrt u?
1320*u**2
Let u(j) = j**3 - 5*j**2 + 6*j - 2. Let t be u(4). Find the third derivative of -2*y**2 - y**3 + y**3 - 3*y**t + y**2 wrt y.
-360*y**3
Suppose 4*h - 3 = 1. Let r(u) = u + 1. Let z be r(h). Find the third derivative of -s**z - 4*s**5 + 2*s**5 + 4*s**2 wrt s.
-120*s**2
Suppose -5*j - 5*m = -2 - 18, 0 = -j + m. What is the second derivative of 0*y**5 + j*y - 2*y**5 - 3*y wrt y?
-40*y**3
Let a(o) be the second derivative of 17*o**3/6 - 31*o**2/2 + 2*o + 5. What is the derivative of a(s) wrt s?
17
Let n be (1 - 4)/(6/(-16)). What is the second derivative of -2*g**3 + 8*g**3 - g**3 - n*g - g wrt g?
30*g
Let t(j) be the third derivative of 0*j**5 + 0*j**3 - 6*j**2 + 1/24*j**4 + 0*j - 1/120*j**6 + 0. What is the second derivative of t(n) wrt n?
-6*n
Let v(k) = 7*k - 5. Let w(m) = 6*m - 4. Let d(l) = l**3 - 9*l**2 + l - 6. Let g be d(9). Let r(f) = g*v(f) - 4*w(f). Find the first derivative of r(t) wrt t.
-3
Let u be 6/4*(-28)/(-21). Find the third derivative of -13*c + 13*c + c**4 + 2*c**u wrt c.
24*c
Let a = 2 + 0. Suppose 5*q = 3*q + 4. What is the third derivative of a*s**6 + 0*s**2 + 4*s**2 - 6*s**q wrt s?
240*s**3
Let v(f) be the second derivative of f**8/8 - 2*f**4/3 + 6*f. What is the third derivative of v(h) wrt h?
840*h**3
Find the second derivative of v**4 + 5*v**4 - 5*v**4 - 6*v - 4*v**4 wrt v.
-36*v**2
Let t = -20 + 62. Let r be t/9 - (-6)/(-9). Differentiate 1 - m**r - 3 - 1 wrt m.
-4*m**3
Let k(i) = -72*i**2 + 84*i + 15. Let t(h) = 18*h**2 - 21*h - 4. Let f(u) = -4*k(u) - 15*t(u). What is the second derivative of f(z) wrt z?
36
Let m(i) be the first derivative of i**6/2 + i**2/2 - 7. What is the second derivative of m(a) wrt a?
60*a**3
Let g(d) = -17*d**4 - 4*d**2 + 4*d + 20. Let u(y) = -34*y**4 - 9*y**2 + 9*y + 41. Let s(t) = 9*g(t) - 4*u(t). Find the first derivative of s(z) wrt z.
-68*z**3
What is the derivative of 4*b**3 + 4*b**3 + 20*b**3 - 23 - 6*b**3 wrt b?
66*b**2
Let v(l) be the second derivative of 37*l**8/56 - 25*l**4/12 + 23*l. What is the third derivative of v(r) wrt r?
4440*r**3
Find the second derivative of 4*d**2 + 12*d + 3*d**4 + 0*d - 10*d + 23*d wrt d.
36*d**2 + 8
Let q = -3 + 3. Let u(a) be the first derivative of 0*a**6 + 0*a**2 - 1/7*a**7 + 2/3*a**3 + 0*a**5 - 2 + q*a**4 + 0*a. Find the third derivative of u(w) wrt w.
-120*w**3
Let u(r) = 4*r - 3. Let c(b) = b**3 - 5*b**2 - 5*b - 4. Let h be c(6). Let n be u(h). Find the third derivative of 3*y**2 + 2*y**5 - y**n - 2*y**2 wrt y.
60*y**2
Let p(a) = -a**2 + 6*a + 9. Let r be p(7). Let h be (4 + -2)*1*3. What is the third derivative of 4*w**h - 9*w**2 + 5*w**r - w**6 wrt w?
360*w**3
Let u(d) be the first derivative of -2/3*d**3 - 2*d**2 + 5 + 0*d. What is the second derivative of u(c) wrt c?
-4
What is the first derivative of -w - w + 12 - 8*w - 5 wrt w?
-10
Suppose 4*m + h - 6 = -h, -3*m = 2*h - 4. Let k(b) be the first derivative of -1/3*b**3 + 0*b - b**2 - m. What is the second derivative of k(l) wrt l?
-2
Let k(g) be the first derivative of 2*g**3/3 + 5*g**2/2 + 63*g - 22. Differentiate k(m) wrt m.
4*m + 5
Let j(n) = -13*n**4 + 2*n**2 - 3*n. Let x(k) = -105*k**4 + 15*k**2 - 25*k. Let s(a) = -25*j(a) + 3*x(a). Find the third derivative of s(z) wrt z.
240*z
Let a(d) = -24*d**4 - d**3 + 11*d**2 - d. Let w(b) = -b**4 + b**3 + b. Let u(y) = -a(y) - w(y). Find the third derivative of u(h) wrt h.
600*h
Find the second derivative of -20*f + 764*f**2 - 785*f**2 + 3*f wrt f.
-42
Let p(o) be the first derivative of o**9/756 + o**6/360 + 2*o**3/3 + 6. Let y(u) be the third derivative of p(u). What is the third derivative of y(x) wrt x?
240*x**2
Let a(k) be the second derivative of -2*k**5/5 + 11*k**4/6 + 22*k. What is the third derivative of a(p) wrt p?
-48
Let y(b) = 2. Let k(h) = 2*h + 8. Let p(n) = -n - 1. Let x(i) = -k(i) - p(i). Let o(m) = 3*x(m) + 8*y(m). Differentiate o(c) wrt c.
-3
Suppose 0*d + 15 = d - 5*i, -2*i - 9 = -d. Suppose -6*k + 2*k = -16. Differentiate -b**k + 2*b**4 - 3 + d + 1 wrt b.
4*b**3
Let t = -1 + 4. Let d = -1 + t. What is the third derivative of 0*q**4 + q**5 + q**d + 0*q**4 - 3*q**5 wrt q?
-120*q**2
Find the second derivative of -i**2 - 2*i + 0*i**2 - 5*i**4 + i**2 wrt i.
-60*i**2
Let r be (-4)/2 + 0 + 2. Let o be 0 - (r + -3 + 1). Find the third derivative of 3*p**o - 3*p**4 + 2*p**4 - p**2 wrt p.
-24*p
Suppose -4*j = -5*o + 23, -3*j = -4*o - 0*o + 18. What is the second derivative of r**4 - 3*r**4 - r**4 - o*r + 0*r wrt r?
-36*r**2
Let t = 1 + 2. Let c = t - 1. What is the third derivative of 0*b**2 + 0*b**4 + 2*b**4 + b**c wrt b?
48*b
Let x(c) be the second derivative of -c**6/6 - c**4/12 - 6*c. What is the third derivative of x(h) wrt h?
-120*h
Let y be (-1 + (-7)/(-2))*(-56)/(-70). Let k(z) be the first derivative of 1/3*z**3 - 3*z + 0*z**2 - y. Find the first derivative of k(f) wrt f.
2*f
Let q = 5 - 3. Let g(j) = -3*j + q*j**2 + 4*j - j**2 - 1. Let o(m) = -3*m**2 - m + 2. Let b(n) = -2*g(n) - o(n). Find the second derivative of b(i) wrt i.
2
Let q(j) = -j**3 + j**2 + j + 1. Let z(y) = -3*y**2 - 3*y - 8. Let m(c) = -3*q(c) - z(c). Differentiate m(x) wrt x.
9*x**2
What is the third derivative of -14*b**2 - 8*b**2 + 29*b**5 + 45*b**2 wrt b?
1740*b**2
Let v(u) be the first derivative of -u**4/4 + 2*u**3/3 - u**2/2 + 2*u + 4. Let h be v(2). Find the third derivative of 3*a**2 + h + 3 - 3*a**3 - 3 wrt a.
-18
Suppose 0*a - f - 5 = -3*a, -4*a - 5*f - 6 = 0. What is the first derivative of -3 + v**4 + 0*v**4 + a wrt v?
4*v**3
Let i(l) be the second derivative of -5*l**4/12 + l**3/3 - 12*l**2 + 2*l + 10. What is the first derivative of i(m) wrt m?
-10*m + 2
Let s(j) be the third derivative of 1/70*j**7 + 0*j**6 - 1/60*j**5 + 0*j**4 + 0*j**3 + 3*j**2 + 0*j + 0. Find the third derivative of s(u) wrt u.
72*u
Let w(c) be the first derivative of c**6/360 - c**4/8 + c**3 + 1. Let u(j) be the third derivative of w(j). What is the first derivative of u(t) wrt t?
2*t
Let v(b) be the first derivative of -44*b**2 + 46*b**2 - 2*b**5 - 7 + b**6 + 2*b**5. What is the second derivative of v(g) wrt g?
120*g**3
Let j(s) = -12*s**4 - 6*s**3 + 6*s**2 + 4*s + 18. Let c(a) = a**4 + a**3 - a**2 - a - 1. Let o(n) = 6*c(n) + j(n). Find the first derivative of o(y) wrt y.
-24*y*