**4 wrt a?
-1440*a**3 - 72*a
Let z = -15 - -17. Let p(b) be the first derivative of 0*b - b**2 - z + 1/3*b**3. Find the second derivative of p(m) wrt m.
2
Let t(k) = -1. Let n(c) = -2*c + 9. Suppose -2*f - 6 = -4*w, 0 = w - 2*w - f - 6. Let a(r) = w*n(r) - 5*t(r). Differentiate a(p) with respect to p.
2
Let n(i) be the third derivative of 0*i**6 + 1/6*i**4 + 0*i + 4/105*i**7 + 0*i**3 + 0*i**5 + 0 - 9*i**2. Find the second derivative of n(y) wrt y.
96*y**2
Let n(a) be the third derivative of a**5/4 + a**4/12 + 31*a**2. Find the second derivative of n(c) wrt c.
30
Let f(y) = -21*y**5 + y**3 - y**2 - 47*y + 1. Let m(l) = -l**3 + l**2 - 1. Let h(c) = f(c) + m(c). Find the second derivative of h(q) wrt q.
-420*q**3
Let y(l) = l + 4. Let c be y(3). Suppose -q = -p + 7, -q - q = -5*p + 20. Find the second derivative of -a**p + c*a - 9*a - a**2 wrt a.
-4
Differentiate g**2 - g**2 - 93 + 7*g**3 + 89 wrt g.
21*g**2
Let t(x) be the first derivative of x**4 - x**2 + 5*x + 4. Let z(l) = -2*l**3 + l - 3. Let d(n) = 3*t(n) + 5*z(n). What is the second derivative of d(g) wrt g?
12*g
Let y(a) = a + 1. Let k(f) = 7*f**2 - 8*f - 6. Let w(r) = k(r) + 6*y(r). What is the second derivative of w(j) wrt j?
14
Let r(h) be the second derivative of -3*h + 0*h**6 - 1/4*h**4 + 0 + 0*h**5 + 0*h**3 + 2/21*h**7 + 0*h**2. What is the third derivative of r(p) wrt p?
240*p**2
Let p(q) = q + 7. Let c be p(-5). Suppose o - c = u - 0*u, 0 = 2*o + 4*u - 22. What is the second derivative of -j + 3*j - 5*j**5 + 0*j**o + 2*j**5 wrt j?
-60*j**3
Let p(f) = f**4 + 3*f**3 - f**2 + 3. Let a(h) = 2*h**4 + 5*h**3 - 2*h**2 + 5. Let d(c) = 3*a(c) - 5*p(c). Find the third derivative of d(s) wrt s.
24*s
Let v(d) be the second derivative of d**7/21 - 2*d**4/3 - d. What is the third derivative of v(j) wrt j?
120*j**2
Suppose b + b = 22. Suppose -2*n - 1 = v, 0 = n - 2*v - b - 1. Find the second derivative of w**n - 2*w - w + w + 3*w**2 wrt w.
8
Let d(j) = j**3 + 3*j**2 - 3*j - 3. Let s(b) = -3*b**3 - 5*b**2 + 6*b + 5. Let v = -7 + 4. Let p(z) = v*s(z) - 5*d(z). Find the second derivative of p(x) wrt x.
24*x
Let s(v) be the second derivative of -v**10/30240 + v**6/360 + v**4/3 + 3*v. Let z(u) be the third derivative of s(u). Find the second derivative of z(n) wrt n.
-20*n**3
Let r(m) be the first derivative of 55*m**4/4 - 7*m**3/3 + 2*m + 52. What is the third derivative of r(b) wrt b?
330
Let c(v) be the second derivative of -v**8/336 - 5*v**4/24 - 2*v**2 + 4*v. Let r(u) be the first derivative of c(u). Find the second derivative of r(k) wrt k.
-20*k**3
Let f(s) be the second derivative of -s**6/30 - 3*s**2/2 + 4*s. Differentiate f(o) with respect to o.
-4*o**3
Let g be 4*5/40*6. Let z(a) be the second derivative of 1/3*a**4 + 0*a**2 - 1/20*a**5 - 2*a + 0 + 0*a**g. What is the third derivative of z(i) wrt i?
-6
Find the second derivative of -4*m**2 - 8*m**3 - 10*m + 7*m**3 + 4*m**2 wrt m.
-6*m
Let r(b) = -1. Let j(s) = s - 1. Let z(p) = 10*j(p) + 5*r(p). Differentiate z(i) with respect to i.
10
Suppose -u + 5*h - 3 = 20, 2*u = 4*h - 16. What is the third derivative of -6*f**3 + 5*f**6 + f**u + 6*f**3 wrt f?
600*f**3
Let d = 1/52 - -3/13. Let b(x) be the first derivative of -2*x - 3 + d*x**4 + 0*x**2 + 0*x**3. What is the first derivative of b(i) wrt i?
3*i**2
Let f be (3 - 0)/((-6)/(-148)). Find the second derivative of -74*b**4 - 2*b**5 + 2*b + f*b**4 wrt b.
-40*b**3
What is the derivative of -7 + 1 + 2*y**3 + 9*y**3 - 5 wrt y?
33*y**2
Let m(q) be the first derivative of 0*q**2 + 0*q + 0*q**4 - 2/3*q**3 - 6 - 6/5*q**5. What is the third derivative of m(s) wrt s?
-144*s
Let i(z) = -z + 8. Let w be i(5). Let a be 1 + (3 - (-4)/(-4)). Find the second derivative of -a*p + p**w + 10*p**2 - 10*p**2 wrt p.
6*p
Let c(x) be the second derivative of x**3 + x**2 - 7*x. What is the first derivative of c(z) wrt z?
6
Suppose 2*h = 3 + 1. Suppose -h*k - 4*u - 12 = 0, -4*k + 2*u = -0*u - 6. What is the derivative of 1 + k*g - g**4 + 0*g wrt g?
-4*g**3
Let v(c) be the second derivative of -2*c**6/3 - 7*c**4/12 + 3*c. Find the third derivative of v(j) wrt j.
-480*j
Let d(t) = -t**3 - 9*t**2 - t - 6. Let g be d(-9). Find the second derivative of 0*r**4 + 2*r**4 - r**4 + 0*r - g*r wrt r.
12*r**2
Let c = -11 + 16. Suppose -3*q + 21 = 6*v - 2*v, -2*v = -c*q + 9. Find the second derivative of 5*j**3 - j**3 - j - v*j**3 wrt j.
6*j
Let l(z) = -z + 1. Let v be l(-1). What is the third derivative of -7*w**4 + 3*w**2 + v*w**4 + 9*w**4 wrt w?
96*w
Let i(p) = -39*p**3 - 10*p**2 - 26. Let s(u) = -40*u**3 - 8*u**2 - 25. Let a(j) = 4*i(j) - 5*s(j). Differentiate a(l) with respect to l.
132*l**2
Let x(f) be the third derivative of f**6/24 + 5*f**3/3 + 11*f**2. Differentiate x(k) wrt k.
15*k**2
Let d(w) be the second derivative of w**4/4 + w**3/3 + 49*w**2/2 + w + 5. Differentiate d(f) wrt f.
6*f + 2
Suppose -2*m - 18 - 2 = 0. Let h be (-2)/(-4) + (-5)/m. Differentiate -2*j - h + 1 + 3*j + 3 wrt j.
1
Suppose -3*a = 6 - 3. Let w be 1/(9/6 + a). What is the third derivative of 4*o**2 - w*o**2 + 3*o**3 - 2*o**3 wrt o?
6
Let c(l) be the first derivative of -l**4/24 + l**3/3 + l**2 - 1. Let h(o) be the second derivative of c(o). What is the derivative of h(i) wrt i?
-1
Let u(a) = 63*a**2 - 36*a. Let v(f) = -95*f**2 + 54*f. Let i(h) = -8*u(h) - 5*v(h). Find the second derivative of i(s) wrt s.
-58
Let w(t) = t + 7. Let n be w(-6). What is the second derivative of -2 + 3*o**2 + 3 + o - n wrt o?
6
Let h(n) = -2*n**3 + n + 2*n**3 + 5*n**2 - n**3. Let z(u) = u**3 - 4*u**2. Let r(s) = 4*h(s) + 5*z(s). Find the second derivative of r(v) wrt v.
6*v
What is the derivative of 2*b**2 - 2*b**2 + 34*b**3 + 2 + 11*b**3 wrt b?
135*b**2
Let s(d) = -36*d**2 + 2*d + 1. Let o(q) = q**2. Let a(t) = 5*o(t) - s(t). Find the second derivative of a(g) wrt g.
82
Find the second derivative of c - 19*c**4 + 4*c + 17*c**4 wrt c.
-24*c**2
Let l = -9 + 11. What is the second derivative of h + 0*h**3 + l*h**3 - 2*h wrt h?
12*h
What is the second derivative of -5*s**5 + 37*s + 21*s**5 - 9*s + 2 + 3*s**5 wrt s?
380*s**3
Let l be (-3)/(-9) - (-24)/9. Let p(y) be the first derivative of 0*y + 2 + 0*y**2 + 1/5*y**5 + 0*y**4 - 1/3*y**l. Find the third derivative of p(c) wrt c.
24*c
Let u(g) be the third derivative of 0*g**4 + 0*g**6 + 0*g**3 + 2*g**2 + 1/20*g**5 - 1/210*g**7 + 0*g + 0. Find the third derivative of u(f) wrt f.
-24*f
Let z = -3 + 9. What is the second derivative of z*i**2 + 0*i**2 - i - 4*i**2 wrt i?
4
Let r = 7 - 5. Let l(k) be the first derivative of k**3 - r*k + 2 + 6*k + 0 + 0*k. Differentiate l(n) with respect to n.
6*n
Suppose -f = -3 + 1. Let t be 0 - -4 - (-30)/(-15). What is the second derivative of f*m + m**4 + 2*m - t*m wrt m?
12*m**2
Suppose -6*s + 3 = -3*o - s, -2*s = -5*o + 14. Differentiate c**3 - 1 + o - 4 with respect to c.
3*c**2
Let o(i) be the third derivative of -i**9/126 - i**5/60 + 6*i**2. Find the third derivative of o(d) wrt d.
-480*d**3
Let s(i) be the second derivative of i**7/14 + 17*i**4/6 - 11*i. What is the third derivative of s(p) wrt p?
180*p**2
Suppose 0*v - 2*g + 28 = 4*v, 5*g + 20 = 5*v. What is the second derivative of -3*y**4 - 9*y + v*y**4 - 111*y**2 + 111*y**2 wrt y?
36*y**2
Let b be (-1 - (-12)/1) + -3. Let z = b - 4. Find the third derivative of 4*a**2 - 2*a**4 - 3*a**z + a**4 wrt a.
-96*a
Suppose 4 = -3*v + 13. Let o be (-1)/v + 2/6. Find the first derivative of 1 + 2*w - 4 + o*w wrt w.
2
Find the third derivative of -13*y**2 - 3*y**2 + 457*y**4 - 449*y**4 wrt y.
192*y
Let p(h) be the first derivative of -3 + 0*h**2 + 1/2*h**4 + 1/3*h**3 + 0*h. What is the third derivative of p(a) wrt a?
12
Let u(h) be the first derivative of h**6/15 - 2*h**2 + 4*h - 2. Let y(z) be the first derivative of u(z). Find the first derivative of y(f) wrt f.
8*f**3
Let c(j) be the first derivative of j**6/6 + j**2 + 2. Find the second derivative of c(n) wrt n.
20*n**3
Let j(a) be the first derivative of 0*a**2 + 2 + 0*a**4 + 2/7*a**7 - 1/3*a**3 + 0*a**6 + 0*a**5 + 0*a. What is the third derivative of j(y) wrt y?
240*y**3
Let d(h) = -h**3 - h**2 + h. Let a(x) = -19*x**3 - 2*x**2 - 5*x. Let f(o) = a(o) - 2*d(o). What is the second derivative of f(q) wrt q?
-102*q
Suppose -2*v - 3*g = 2*g + 8, -2 = -v - g. What is the third derivative o