ative of -3*x**3 + 15*x**2 - 8*x - 2*x**2 + 6*x + 28*x**4 + 2*x**3 wrt x?
672*x - 6
Let w(t) = -4*t**2 + t - 11. Let h(v) = v**2 + 3. Let a(i) = 22*h(i) + 6*w(i). What is the second derivative of a(s) wrt s?
-4
Let s(l) be the second derivative of 0 + 5*l + 0*l**2 + 1/3*l**3 + 1/2*l**4. Find the second derivative of s(k) wrt k.
12
Find the third derivative of 9*z**2 + z**2 - 2*z**3 - 3*z**2 wrt z.
-12
Let x(c) = -c**2 + 6*c - 1. Let s be x(5). Differentiate r - 6 + 4*r - s*r + 8 wrt r.
1
Let w(c) be the third derivative of 0*c + 1/8*c**4 + 0*c**3 + 0 - 3*c**2 - 1/30*c**5. What is the second derivative of w(a) wrt a?
-4
Let g(p) = -p**3 + 1. Let d(u) = -7*u**3 + 7*u + 5. Let i(m) = d(m) - 5*g(m). What is the second derivative of i(s) wrt s?
-12*s
Let p(a) be the third derivative of -a**6/10 + 3*a**4/4 + 20*a**2. Find the second derivative of p(c) wrt c.
-72*c
Let j(t) be the first derivative of -t**5/5 + 2*t**2 + 8. Find the second derivative of j(i) wrt i.
-12*i**2
Let c = 108 - 108. Let w(p) be the first derivative of c*p**5 + 0*p**3 - 1/6*p**6 + 0*p + 2*p**2 + 1 + 0*p**4. Find the second derivative of w(u) wrt u.
-20*u**3
Let m be 2*(-1)/((-2)/3). What is the second derivative of -m - 7 + p - 4*p**3 + 10 wrt p?
-24*p
Let q(a) = 4*a**3 + 5*a**2 + 4. Let v(y) = 3*y**3 + 4*y**2 + 4. Suppose 0*p = -4*p + 16. Let x(l) = p*q(l) - 5*v(l). Find the first derivative of x(k) wrt k.
3*k**2
Let u(a) be the first derivative of 0*a**2 + 0*a + 0*a**4 + 0*a**6 - 5 - 1/3*a**3 + 0*a**5 + 1/7*a**7. Find the third derivative of u(z) wrt z.
120*z**3
Let t(x) be the second derivative of 19*x**6/30 - 14*x**2 + 41*x. What is the derivative of t(y) wrt y?
76*y**3
Let m(n) be the second derivative of -13*n**4/12 + 15*n**2/2 - 10*n. Differentiate m(i) wrt i.
-26*i
What is the second derivative of 0*c - 6*c**3 + 3*c - c**3 wrt c?
-42*c
Find the third derivative of 13*y**5 + 30*y**2 + 0*y**5 + 13*y**5 wrt y.
1560*y**2
Let s(c) be the first derivative of 7*c**2 + 11*c + 14. Find the first derivative of s(l) wrt l.
14
Let y(z) = 6*z**3 - 2*z**2 + 10*z - 2. Let o(b) = -17*b**3 + 7*b**2 - 31*b + 7. Let l(i) = 2*o(i) + 7*y(i). What is the second derivative of l(r) wrt r?
48*r
Let a(u) be the first derivative of 10*u**3/3 - 6*u + 2. What is the first derivative of a(x) wrt x?
20*x
Let c(k) = -k - 1. Let m(i) = 2*i**2 - 5*i - 6. Let u be (4/6)/(4/54). Let r = 4 - u. Let b(d) = r*c(d) + m(d). Differentiate b(s) wrt s.
4*s
Let m(x) be the second derivative of x**6/6 - 17*x**2/2 - 28*x. Differentiate m(n) with respect to n.
20*n**3
Suppose -3*w = 15, 0 = -3*i - w - 0 + 1. Find the second derivative of -i*j**4 + j - 2*j + 5*j**4 wrt j.
36*j**2
What is the second derivative of 8*m - 13*m + 4*m**2 + 10*m wrt m?
8
Let f = -7 + 12. Suppose -f*l + 3 = -7. Find the third derivative of -b**l + b**2 + 0*b**2 - b**4 - b**2 wrt b.
-24*b
Let c = -6 - -1. Let k(p) = p**3 + 6*p**2 + 4*p. Let s be k(c). Find the second derivative of 6*v**4 - 6*v**4 - 3*v**5 - 2*v + 5*v**s wrt v.
40*v**3
Let n(m) = -25*m**2 - 4. Let b(p) = -12*p**2 - 2. Let v(w) = -13*b(w) + 6*n(w). Differentiate v(q) wrt q.
12*q
Let t(u) = 4*u**2 + u + 4. Let m(n) = n - 4*n + n + n**2 + 3*n. Let q(j) = m(j) - t(j). Find the first derivative of q(p) wrt p.
-6*p
Let y = 1 - 1. Suppose 0 = -3*w + 6 - y. What is the second derivative of -d**2 - d**2 + w*d - 6*d + d wrt d?
-4
What is the third derivative of 10*h**3 + 0 - 5*h**5 + 423*h**2 - 435*h**2 + 1 + 3*h**5 wrt h?
-120*h**2 + 60
Let y = 15 - 11. What is the second derivative of 5*x**4 + x**2 - x**2 - 8*x**y - 4*x wrt x?
-36*x**2
Let t(o) be the first derivative of 0*o**5 + 0*o + 2*o**2 - 2 + 0*o**4 + 0*o**3 + 5/6*o**6. What is the second derivative of t(r) wrt r?
100*r**3
Let d be 6/12*(-8)/(-2). Let t(r) be the first derivative of 2/3*r**6 + 0*r**4 + 0*r**d + 0*r + 0*r**5 + 1 + 2/3*r**3. Find the third derivative of t(a) wrt a.
240*a**2
Let b(r) = -r**3 - 8*r**2 - 9*r - 9. Let s be b(-7). Suppose s*y + 0*y = 20. What is the second derivative of -3*p**y - 12*p**3 - p + 12*p**3 wrt p?
-36*p**2
Let c(x) = -x**2 - x + 2. Let y be c(0). Find the third derivative of -5*i**6 + 3*i**y - 3*i**3 - 6*i**2 + 3*i**3 wrt i.
-600*i**3
Let c(b) be the third derivative of b**8/56 - 3*b**4/4 - 11*b**2. Find the second derivative of c(k) wrt k.
120*k**3
Let i(z) be the second derivative of z**7/280 + z**6/120 + z**3/3 - 2*z. Let n(o) be the second derivative of i(o). Find the third derivative of n(p) wrt p.
18
What is the third derivative of -o**6 + o**2 - 6*o**6 + 5*o**6 - 6*o**6 wrt o?
-960*o**3
What is the second derivative of -2*x + 3 + x - 11*x**2 + x**3 - 3*x**2 wrt x?
6*x - 28
Let c = 10 - 9. Let x(s) = s**3 - 6*s**2 + 4*s. Let o(t) = t**2. Let j(p) = c*x(p) + 6*o(p). Find the second derivative of j(r) wrt r.
6*r
Let n(w) = -8*w**3 - 9*w + 3. Let q(x) = -2 + 3 - 4*x**3 + 19*x**2 - 19*x**2 - 4*x. Let u(k) = -4*n(k) + 9*q(k). Find the first derivative of u(r) wrt r.
-12*r**2
Let u(v) be the first derivative of -v**4/3 + 5*v**3/6 + 6*v + 3. Let z(t) be the first derivative of u(t). What is the second derivative of z(o) wrt o?
-8
Let m(n) be the second derivative of 21*n**5/10 - 14*n**3/3 - 8*n - 3. Find the second derivative of m(r) wrt r.
252*r
Let o = 18 - -3. What is the third derivative of 17*n**2 - o*n**2 + n**4 - 8*n**4 wrt n?
-168*n
Let w(h) be the first derivative of 0*h**3 + 3*h**2 + 5/6*h**6 + 0*h**5 + 6 + 0*h**4 + 0*h. What is the second derivative of w(s) wrt s?
100*s**3
Find the second derivative of x + 5*x**5 - 5*x - 5*x wrt x.
100*x**3
What is the third derivative of y**2 - 6*y**2 - 17*y**4 + 27*y**2 - 5*y**4 wrt y?
-528*y
Let x(a) be the third derivative of -11*a**6/60 + a**5/30 - a**4/24 + 2*a**3/3 - 48*a**2. What is the second derivative of x(l) wrt l?
-132*l + 4
Suppose 4 = -17*q + 18*q. Let z(t) be the third derivative of 0*t - 1/24*t**q + 1/15*t**5 + 2*t**2 + 0*t**3 + 0. What is the second derivative of z(x) wrt x?
8
Let m(x) be the first derivative of x**6/3 - x**4/4 + 3*x**3 + 3*x**2/2 + 36. Find the third derivative of m(w) wrt w.
120*w**2 - 6
Let y(d) be the first derivative of -31*d**2 - 39*d - 34. Differentiate y(n) with respect to n.
-62
Suppose -2*y + 24 = 2*y. Differentiate 0*p + p + 3 + 5 - y wrt p.
1
Let a(s) be the first derivative of -s**10/2520 - s**6/180 + s**3 - 2. Let v(h) be the third derivative of a(h). What is the third derivative of v(k) wrt k?
-240*k**3
Let a(y) be the third derivative of y**6/30 + y**4/2 - 11*y**2. Find the second derivative of a(q) wrt q.
24*q
Find the first derivative of 0 - 9*b - 6 + 9*b - b**2 wrt b.
-2*b
Let c be -4 + 9 - 17/4. Let h(n) be the first derivative of 0*n**2 - 1 + 0*n**3 - c*n**4 + 4*n. What is the first derivative of h(y) wrt y?
-9*y**2
Find the third derivative of -18*a**3 + 3*a**2 - 23*a**3 + 36*a**2 + 16*a**2 wrt a.
-246
Find the third derivative of 12*d**2 - 3*d**4 + d**4 + 11*d**4 wrt d.
216*d
Let o(l) be the second derivative of l**7/21 + l**3/2 + 2*l. Find the second derivative of o(n) wrt n.
40*n**3
Let r(z) be the third derivative of z**9/56 + z**5/15 - 2*z**2. Find the third derivative of r(n) wrt n.
1080*n**3
Suppose i + 2 = 2*a + 3*i, -3*i + 7 = 5*a. What is the second derivative of -h + 3*h**4 - 5*h**4 + 0*h + a*h wrt h?
-24*h**2
What is the third derivative of -11*t**2 + 53*t**3 + 35*t**2 - 19*t**3 - 3*t**3 wrt t?
186
Let g(x) be the third derivative of -x**4/24 - 5*x**3/6 + x**2. Let a be g(-5). Find the second derivative of a + 0 + z**3 - z wrt z.
6*z
Let r(a) = 3*a - 7. Let h be r(6). Suppose -28 = -3*k + 2*l, 3*l = -h - 4. What is the third derivative of -n**2 - 2*n**k + 0*n**6 + n**6 wrt n?
-120*n**3
Let o be (4 - 7)*(-2)/3. What is the second derivative of 0 + 8 - 8 - 2*r + o*r**2 wrt r?
4
Let o = 3 - -3. Let m be 3/o*(-12)/(-2). What is the third derivative of m*z**4 + 0*z + 0*z + 2*z**2 wrt z?
72*z
Let n = -20 + 25. Find the third derivative of 2*m**5 - m**n - 4*m**5 - 9*m**2 wrt m.
-180*m**2
Let u(t) be the first derivative of -t**8/240 + 3*t**4/8 + 3*t**3 - 11. Let j(v) be the third derivative of u(v). Differentiate j(r) with respect to r.
-28*r**3
Let l(n) be the third derivative of -n**6/15 + n**5/10 - 20*n**2. What is the third derivative of l(h) wrt h?
-48
Suppose -5*v + 3*v + 28 =