*v**5/15 + 13*v**4/24 - 4*v**2. Find the second derivative of k(u) wrt u.
-16
Let p(n) = -20*n**3 - 13. Let h(b) = b**3 - 1. Let g(s) = 6*h(s) + p(s). Differentiate g(d) wrt d.
-42*d**2
What is the first derivative of -13*t**3 + 5*t**3 + t + 59 + 11*t**3 wrt t?
9*t**2 + 1
Let m(p) be the third derivative of p**7/1008 - 7*p**6/720 + p**5/60 - 5*p**2. Let d(l) be the third derivative of m(l). Differentiate d(x) with respect to x.
5
Let m be 14/6 - 5/15. Find the second derivative of -2*c**2 + m*c**2 - 4*c + 3*c**3 - 7*c**3 wrt c.
-24*c
Let p be 14/35 - (-3)/(-45). Let j(q) be the second derivative of 1/6*q**4 - q + 0*q**2 + p*q**3 + 0. What is the second derivative of j(u) wrt u?
4
What is the second derivative of 5*s**4 - 6*s**4 - 12*s**4 + 7*s wrt s?
-156*s**2
Suppose 0 = 2*z + r - 8, 3*r + 16 = 4. What is the second derivative of -4*h - z*h**2 + 6*h**2 - 3*h**5 wrt h?
-60*h**3
Let q(f) be the first derivative of -f**6 - f**5 + 15*f**3 + 24. What is the third derivative of q(o) wrt o?
-360*o**2 - 120*o
What is the third derivative of -16*p**5 - 2*p - 4*p**3 + 18*p**5 + 0*p + 29*p**2 wrt p?
120*p**2 - 24
Suppose -2*x + 3*x = 1. Find the third derivative of -3*p**5 - 2*p**2 + 4 - 5 + x wrt p.
-180*p**2
Let y(v) be the first derivative of -6*v**5/5 - 7*v**2 + 18. Find the second derivative of y(z) wrt z.
-72*z**2
Let a(x) = 3*x**2 - 3*x + 12. Let b(f) = -3*f**2 + 2*f - 13. Let y(t) = 2*a(t) + 3*b(t). What is the first derivative of y(k) wrt k?
-6*k
Suppose -2*p + 6 = -p. What is the third derivative of 3*j**6 - j**2 + 4*j**2 - 2*j**p - 4*j**2 wrt j?
120*j**3
Let y(z) be the third derivative of -2*z**7/21 - 4*z**3/3 - 36*z**2. Differentiate y(p) with respect to p.
-80*p**3
Let q(u) = 51*u**3 - 11*u**2 - 35*u + 11. Let g(d) = -10*d**3 + 2*d**2 + 7*d - 2. Let j(c) = 22*g(c) + 4*q(c). What is the second derivative of j(n) wrt n?
-96*n
Find the second derivative of 2*j - 5*j + 4*j + 22*j**3 - 5*j**3 wrt j.
102*j
Let o(a) be the second derivative of a**4/2 + 5*a**3/3 + 3*a. Find the second derivative of o(v) wrt v.
12
Let p(u) = u. Let i be p(3). Suppose 5 + 1 = i*g. What is the first derivative of -6 + g + 2 + t wrt t?
1
Let o = 0 + 3. Let l be 1 - -1*3/o. Find the third derivative of 3*z**2 - 2*z**4 + z**4 - 5*z**l wrt z.
-24*z
Find the third derivative of 11*p**2 - 9*p**2 - 3*p**6 - p**6 wrt p.
-480*p**3
Let x be -4*(4 + (-90)/8). Find the third derivative of -x*c**5 + c**2 + 3*c**2 + 36*c**5 wrt c.
420*c**2
Let w(h) be the third derivative of 0*h**4 + 0*h**3 - 1/20*h**5 + h**2 + 0*h - 1/120*h**6 + 0. Find the third derivative of w(f) wrt f.
-6
Suppose o + 2 = 2*o. Suppose 0 = o*r - 10, 13 + 22 = 5*n + 5*r. Find the second derivative of -5*d + d + 2*d + 2*d**2 + n*d**2 wrt d.
8
What is the second derivative of 4*j**5 - j**5 - 6*j + 0*j**5 - 2*j**5 wrt j?
20*j**3
Differentiate -2*t**2 - 2*t**2 + 0*t**2 - 1 - 3 with respect to t.
-8*t
Let i = -2 - -4. Find the third derivative of -7*u**3 - u**i + 3*u**5 + 7*u**3 wrt u.
180*u**2
Let m(k) be the second derivative of 2*k**6/5 + k**2/2 + 30*k. What is the derivative of m(a) wrt a?
48*a**3
Let b(h) = 7*h**2 - 2*h. Suppose -10*n - 4 = -8*n. Let f(x) = -22*x**2 + 7*x + 1. Let c(w) = n*f(w) - 7*b(w). What is the first derivative of c(u) wrt u?
-10*u
Suppose 5*p + k - 3*k - 25 = 0, -3*p + 2*k + 19 = 0. Find the first derivative of -1 + 1 - p + 5*n**2 + 8 wrt n.
10*n
Let f(r) = r + 1. Let w = 28 + -20. Suppose 5*l = l - w. Let o(x) = 8*x + 6. Let a(k) = l*o(k) + 14*f(k). Differentiate a(c) wrt c.
-2
Let u(z) be the third derivative of -z**9/63 - 13*z**5/60 + 14*z**2. Find the third derivative of u(i) wrt i.
-960*i**3
Let p(s) be the third derivative of 3*s**8/112 + s**5/60 - 3*s**2. Find the third derivative of p(o) wrt o.
540*o**2
Find the second derivative of 4*r - 3*r**4 - 5*r**4 + 0*r + 2*r wrt r.
-96*r**2
Let x(k) = 8*k - 6. Let t(h) = 10*h**3 + 2*h + 2. Let f be t(-1). Let d(w) = -w + 1. Let p(m) = f*d(m) - x(m). Find the first derivative of p(b) wrt b.
2
Let y be (-6)/((-72)/(-4))*(-6)/40. Let i(l) be the second derivative of 0 - 1/4*l**4 + 0*l**3 + 0*l**2 - 3*l - y*l**5. Find the third derivative of i(r) wrt r.
-6
Let v(d) = -3*d - 8. Let w be v(-4). Find the third derivative of -10*j**4 + 0*j**2 + 3*j**4 + w*j**2 + 2*j**2 wrt j.
-168*j
Let a(h) be the third derivative of h**7/210 - 5*h**4/24 - 3*h**2. Find the second derivative of a(s) wrt s.
12*s**2
Let a be -5 - (0 - 0/(-2)). Let q be (-56)/(-35) + 3/a. Differentiate -3*t**4 + 2*t**4 + 0*t**4 - q wrt t.
-4*t**3
Let d(k) be the first derivative of 9*k**2 + 52*k + 29. Differentiate d(a) wrt a.
18
Let n(u) be the first derivative of u**8/84 - u**4/8 - u**2 - 3. Let f(l) be the second derivative of n(l). What is the second derivative of f(a) wrt a?
80*a**3
Let q(t) be the third derivative of 1/3*t**3 - 8*t**2 + 0*t**4 + 2/15*t**5 + 0*t + 0. What is the derivative of q(r) wrt r?
16*r
Let v(d) = 3*d**3 + 9*d**2 + 9*d + 29. Let y(n) = n**3 + 4*n**2 + 4*n + 14. Let s(o) = 4*v(o) - 9*y(o). What is the derivative of s(l) wrt l?
9*l**2
Let n(q) be the third derivative of -q**8/336 - q**4/3 - q**2. What is the second derivative of n(i) wrt i?
-20*i**3
Let w(g) be the second derivative of 7*g**4/6 - 3*g**2 + 15*g. Find the first derivative of w(i) wrt i.
28*i
Suppose -4*r + 2*k + 6 = -18, -k = r. What is the second derivative of t - r*t**2 + 0*t + t**2 + 4*t**2 wrt t?
2
Let b(y) = -y**3 - y - 1. Let i(c) = 4*c**4 - c**3 + 7*c**2 - c - 1. Let m(h) = -b(h) + i(h). What is the third derivative of m(t) wrt t?
96*t
Suppose -6*a - 12 = -3*a. Let x = -2 - a. Find the third derivative of -4*p**2 + p**2 - 2*p**4 + 0*p**x wrt p.
-48*p
Let i(z) = -z**3 - z**2 - 1. Let a(w) = 17*w**3 + 4*w**2 + 8*w + 4. Let g(u) = a(u) + 4*i(u). Find the second derivative of g(c) wrt c.
78*c
Let j be -2 - (0 + (-7 - -3)). What is the third derivative of -3*y**2 + 0*y**j - 2*y**6 + 0*y**2 + 4*y**2 wrt y?
-240*y**3
Let a(s) = s**3 - s - 1. Let u be a(-2). Let t be 1/(-2)*(1 + u). Find the second derivative of j**3 + j - 2*j**t - 2*j**3 wrt j.
-18*j
Let r(l) = -5*l - 2. Let m(x) be the second derivative of -x**3 - 4*x + 5*x - x - x**2 - 3*x. Let y(d) = -4*m(d) + 5*r(d). Differentiate y(w) wrt w.
-1
Let f = -7 + 3. Let o be 1*-5*f/10. Find the second derivative of -3*g**5 + 14*g**2 - 14*g**o - g wrt g.
-60*g**3
Let b be (5/(-15))/(1/(-21)). Find the third derivative of b*o**2 + o**2 - 11*o**2 + 5*o**3 wrt o.
30
Suppose -2*u + 8 = -0*u. Suppose 0*b = -4*b + 8. What is the third derivative of 2*m**4 + 0*m**u + 0*m**b - 3*m**2 + m**4 wrt m?
72*m
Differentiate 0*f + 2*f + 2*f - 3 - 7*f wrt f.
-3
Find the second derivative of -3*m**4 + 22*m - 6*m + 6*m**4 + 4*m**4 wrt m.
84*m**2
Let c(f) be the first derivative of -19*f**6/6 - 23*f**3/3 - f**2/2 + 49. Find the third derivative of c(d) wrt d.
-1140*d**2
Let c be -2*(-3 - (2 + -3)). Suppose -c = 5*b - 14. Find the third derivative of -y**5 - 3*y**2 + 4*y**2 + 0*y**2 + 2*y**b wrt y.
-60*y**2
Let h = -19 - -21. Differentiate 0 - x**2 - 2 - x**h - 4*x**2 wrt x.
-12*x
Suppose 6*t - 28 = 2*t. Let y = t + -5. What is the third derivative of -y*j**2 - j**4 + 3*j**2 - j**4 wrt j?
-48*j
Let t(c) = -c**3 - 8*c**2 - 8*c - 3. Let a be t(-7). What is the second derivative of 11*h**5 - 4*h**5 + 7*h + h**4 - h**a wrt h?
140*h**3
What is the second derivative of 7*k - 12*k**2 + 17*k**2 - 9*k**2 wrt k?
-8
Let m(y) be the first derivative of y**6/40 + y**3/6 + y**2 + 8. Let p(s) be the second derivative of m(s). Find the first derivative of p(b) wrt b.
9*b**2
Find the first derivative of 23 - 146*a**4 + 75*a**4 + 81*a**4 wrt a.
40*a**3
Differentiate -20*v + 21*v + 24*v**3 - 41 - v with respect to v.
72*v**2
Let t(m) = -m**4 - m**3 + m. Let p(v) = -19*v**4 - 6*v**3 + 40*v. Let q(u) = -p(u) + 6*t(u). What is the second derivative of q(l) wrt l?
156*l**2
Let a be 2/(-2 - (-24)/9). Find the third derivative of 6*g**3 - a*g**3 - 2 + 2 - 2*g**2 wrt g.
18
Let v = 5 + -14. Let h be (-1)/1*(5 + v). What is the first derivative of h - 2 + 2*c**3 - 4 wrt c?
6*c**2
Suppose 0*y = 3*y - 6. Let k be y/1*(-1)/(-2). What is the derivative of -k + 0 - 3*q + 5*q wrt q?
2
Suppose 0 = 2*t - 0*t - 4. Suppose -2*f = -3*f + 2*n - 1, -3*f - 2*n + 21 = 0. What is the third derivative of -2*