Find the second derivative of 3*x**2 + 0*x - x + k*x wrt x.
6
Find the second derivative of 17*p**4 + 18*p**4 + 27*p - 9*p**4 - 2*p**4 wrt p.
288*p**2
Let r be (-14)/91 - 4/(-26). Let q(y) be the second derivative of -1/6*y**4 + 1/2*y**2 + 0*y**3 + r - 3*y. What is the first derivative of q(o) wrt o?
-4*o
Let n be (12/21)/((-8)/(-28)). Let c(v) be the second derivative of 0*v**n + 1/2*v**3 + 0 + v - 1/20*v**5 + 0*v**4. What is the second derivative of c(i) wrt i?
-6*i
Suppose 3*n - 2*z - 8 = 0, 3*z = -3*n - 2*z + 1. Let p = n + 2. Find the first derivative of p + 6*a + 4*a**2 - 3*a**2 - 6*a wrt a.
2*a
Let b(g) = 29*g**2 - 4*g - 2. Let w(m) = -28*m**2 + 5*m + 3. Let p(z) = -5*b(z) - 4*w(z). Find the first derivative of p(j) wrt j.
-66*j
Suppose -5*y = -3*y. Let v(x) be the second derivative of 2*x - 1/6*x**4 + 1/2*x**2 + y + 0*x**3. Differentiate v(z) wrt z.
-4*z
Let a(w) be the second derivative of -w**6/15 + 7*w**3/6 + w. What is the second derivative of a(r) wrt r?
-24*r**2
Suppose 2*x + 0*x - 3*y = -2, 0 = 3*y - 12. Find the first derivative of 2*d**2 - 3*d**2 - x*d**2 + 4*d**2 + 3 wrt d.
-4*d
Let g = -10 + 6. Let h be 0/(g/(-2) - 4). What is the second derivative of -y + 4*y**5 + h*y**5 - 3*y**5 wrt y?
20*y**3
Let b(k) = 15*k**3 - 3*k**2 - 7*k + 7. Let h(s) = 8*s**3 - 2*s**2 - 4*s + 4. Let q(w) = -4*b(w) + 7*h(w). What is the third derivative of q(t) wrt t?
-24
Let r(s) = -72*s**3 + 5*s**2 - 6*s + 5. Let z(i) = 73*i**3 - 6*i**2 + 6*i - 6. Let q(y) = -6*r(y) - 5*z(y). What is the second derivative of q(k) wrt k?
402*k
Let t(a) = -1 + 1 - 1. Let s(n) = 9*n + 2. Let r(m) = 10*m + 3. Let d(f) = -6*r(f) + 7*s(f). Let v(w) = d(w) - 2*t(w). Differentiate v(y) with respect to y.
3
Let r(l) be the second derivative of -l**3/6 + 3*l**2/2 - 9*l. Differentiate r(b) wrt b.
-1
Let b(y) be the first derivative of y**8/1680 + y**6/60 - 8*y**3/3 + 3. Let o(l) be the third derivative of b(l). What is the third derivative of o(s) wrt s?
24*s
Let h be 1*4 + -3 + 1. Let g be 4 - (3 - (2 + 0)). Find the third derivative of 2*o**3 + o**3 - o**h - 4*o**g wrt o.
-6
Suppose -10 = -4*i - 26. Let s = 6 + i. What is the first derivative of 5*w + 2*w**3 - 1 - s*w - 3*w wrt w?
6*w**2
Let r = -5 + 7. Let d be (-1)/(r/(-2 - 0)). Differentiate 0*y**4 + 4*y**4 - 6*y**4 + d with respect to y.
-8*y**3
What is the third derivative of 2*q**3 + q**2 - 3*q**2 - q**2 wrt q?
12
Let r(n) be the first derivative of 8*n**4 - 47*n + 27. Differentiate r(t) with respect to t.
96*t**2
Suppose -62 - 3 = -13*v. Let b(q) be the second derivative of 0*q**2 + 0 - 3*q + 0*q**4 - 1/20*q**v + 1/3*q**3. What is the second derivative of b(h) wrt h?
-6*h
Let z(d) be the second derivative of 0 + 0*d**3 - 7/2*d**2 + 6*d + 0*d**5 - 7/30*d**6 + 0*d**4. Differentiate z(q) wrt q.
-28*q**3
Let k(g) = 17*g**2 - 20. Let j(n) = -n**2. Let z(d) = -6*j(d) - k(d). What is the derivative of z(o) wrt o?
-22*o
Let y(c) be the second derivative of -c**8/420 - c**4/8 + 5*c**3/6 - 3*c. Let v(a) be the second derivative of y(a). What is the first derivative of v(w) wrt w?
-16*w**3
Let w(p) be the first derivative of -p**7/280 + p**4/6 + p**3/3 + 3. Let c(h) be the third derivative of w(h). What is the first derivative of c(s) wrt s?
-9*s**2
Let j(x) = 3*x - 9*x**2 - 1 + 12*x**2 + 2 - x**3. Let g(k) = 0*k**3 - k**3 - k**2 + 2*k**3 - k - 1. Let r(b) = -3*g(b) - j(b). Differentiate r(l) wrt l.
-6*l**2
Suppose -5*s + 10 = 0, -5*k + 4*s + 1 + 1 = 0. Find the second derivative of o**4 + 4*o - k*o - 3*o + o**4 wrt o.
24*o**2
Let a be 8*(-4 - (-36)/8). Find the second derivative of -2*v + 2*v - a*v - v + v**2 wrt v.
2
Let k = 6 - 5. What is the second derivative of -k + 1 + 4*z + z**3 + 0 wrt z?
6*z
Let z(i) be the third derivative of 7*i**6/120 - 4*i**3/3 - i**2. Differentiate z(u) with respect to u.
21*u**2
Suppose 5*g - 10 = -4*m + 6*m, -4*m + 6 = 3*g. Suppose -o = -5*p + o + g, 5 = -5*p - 5*o. Find the third derivative of -2*h**2 + 0*h**5 + h**5 + p*h**2 wrt h.
60*h**2
Let l(z) be the second derivative of 0*z**6 + 1/14*z**8 - 1/6*z**4 + 0*z**7 + 0*z**3 + 3*z + 0 + 0*z**5 + 0*z**2. What is the third derivative of l(f) wrt f?
480*f**3
Let u be 18/27*15/2. What is the second derivative of -3*k**5 + 4*k**5 - 6*k + u*k + 5*k wrt k?
20*k**3
Suppose -7 = -d + s, -8 = -d - 2*s - 4. What is the derivative of d + 4*p**2 + 1 - 2 wrt p?
8*p
Let c = 7 - 3. What is the first derivative of 1 - 2*w**c - 1 + w**4 - 1 wrt w?
-4*w**3
Let u(x) be the second derivative of 13*x**4/12 + 5*x**3/3 + 13*x. What is the second derivative of u(c) wrt c?
26
Let x(h) be the third derivative of 3*h**5/4 - h**4/4 + h**3/2 + 2*h**2 + 3*h. What is the second derivative of x(l) wrt l?
90
Let n(z) = z**3 - 11*z**2 + 10*z + 2. Let t be n(10). What is the second derivative of -2*x - x + 3*x**4 + 2*x**t - 2*x**2 wrt x?
36*x**2
Let y(w) = w - 3. Let j be y(6). Let o be 4/j - 6/(-9). Find the third derivative of 33*t**2 + 0*t**3 + 0*t**3 + t**4 - 34*t**o wrt t.
24*t
What is the second derivative of -129 + 12*l - 12*l**4 + 129 wrt l?
-144*l**2
Suppose -16 = 2*j - 6*j. Find the second derivative of 1 + 3 + u**3 - j - 3*u wrt u.
6*u
Let w(i) = -11*i**4 - 2*i**3 - 2*i - 10. Let d(k) = 11*k**4 + 3*k**3 + 3*k + 10. Let n(v) = 2*d(v) + 3*w(v). Find the first derivative of n(z) wrt z.
-44*z**3
Let b(s) be the first derivative of s**7/7 - 10*s**3/3 + 19. Find the third derivative of b(k) wrt k.
120*k**3
Let j be 6 + (4 - (-1 + 3)). Find the third derivative of 5*p**2 + 0*p**2 - 13*p**2 - j*p**6 + 4*p**2 wrt p.
-960*p**3
What is the second derivative of 18*t + 10*t + 39 - 39 - 26*t**5 wrt t?
-520*t**3
What is the second derivative of 0*u**2 - 10*u - u + 9*u**2 + 2*u wrt u?
18
Let n(s) = 6*s**3 - 1. Let z be n(1). Suppose 0 = 5*x - 3*l - 13, -2*x + 3*l = 8*l + 1. Find the second derivative of 2*q**z + 4*q**2 - 4*q**x + q wrt q.
40*q**3
Let d(c) = 16*c**3 - 4*c**2 + 21*c + 4. Let o(s) = 31*s**3 - 9*s**2 + 43*s + 9. Let z(i) = 9*d(i) - 4*o(i). Find the second derivative of z(y) wrt y.
120*y
Let u be 0 + -3*(3 + -4). Differentiate 1 + 2 - u + 3 + 3*y wrt y.
3
Find the third derivative of 0 - 3964*n**4 + 0 + 3918*n**4 - 41*n**2 wrt n.
-1104*n
Let j(s) be the first derivative of 0*s**3 - 6 - 5/4*s**4 + s**2 + 0*s. What is the second derivative of j(p) wrt p?
-30*p
Let g(r) be the first derivative of 10*r**6/3 - r**2 + 16*r - 35. Find the second derivative of g(l) wrt l.
400*l**3
What is the third derivative of 11*p**6 - 17*p**2 + 29*p**2 + p**2 wrt p?
1320*p**3
Let q = 19 - 19. Let b(x) be the second derivative of -2*x + 0*x**3 - 1/6*x**4 - x**2 + q. Find the first derivative of b(f) wrt f.
-4*f
Let n(l) be the first derivative of 7*l**3/3 - 11*l**2/2 + 4. Find the second derivative of n(r) wrt r.
14
Let p(j) = -j - 3. Let x be p(-7). Differentiate -q**4 + 6*q**4 - 3 - 2*q**x wrt q.
12*q**3
Suppose -h - 7 = -3*w, 0 = -0*h + 5*h + w - 29. Suppose l - h = m, -3*l + 0*l = -2*m - 12. Find the third derivative of v**l - 3*v**4 + 4*v**4 - 2*v**4 wrt v.
-24*v
Suppose -34 = c - 3*c - 5*k, -8 = -2*k. Differentiate -5*n + 5*n - 4 - n**3 + c wrt n.
-3*n**2
Suppose -15 = -5*z - f, 4*f - 7 = -4*z + 21. Find the second derivative of -3*a + 3 + a**z - 3 wrt a.
2
Let a(w) be the third derivative of -w**6/360 + 5*w**4/24 - w**3 + 2*w**2. Let y(n) be the first derivative of a(n). Differentiate y(i) with respect to i.
-2*i
What is the third derivative of -w**4 - 13*w**2 + 5*w**2 - 23*w**4 + 6*w**4 wrt w?
-432*w
Suppose r = -2*r + 6. Find the second derivative of 3*u**3 - r*u**3 - 6*u**3 - 8*u wrt u.
-30*u
Suppose -17 + 1 = -8*v. Let h(m) be the first derivative of 0*m**v - 2/3*m**3 + 3 - 2*m. What is the derivative of h(b) wrt b?
-4*b
Let i(v) = 93*v**2 + 14*v + 5. Let r(p) = -47*p**2 - 7*p - 2. Let s(o) = 2*i(o) + 5*r(o). Find the second derivative of s(h) wrt h.
-98
Let u(o) be the second derivative of 0*o**4 + 0 + 0*o**2 + 2/3*o**3 + 4*o - 1/20*o**5. Find the second derivative of u(y) wrt y.
-6*y
Let y(g) be the first derivative of -2*g**5 - g**4/4 + 54*g + 12. What is the derivative of y(a) wrt a?
-40*a**3 - 3*a**2
Suppose 4 = 2*t - 4. Let w(f) = f + 1. Let d be w(t). Find the first derivative of -2 - 3*v**2 - 4 + d wrt v.
-6*v
Let m(x) be the second derivative of 0*x**4 - 1/2*x**3 + 3/20*