8*x**3
Let n(m) be the third derivative of m**6/180 + m**5/40 + m**4/24 - 3*m**2. Let j(t) be the second derivative of n(t). Find the first derivative of j(z) wrt z.
4
What is the third derivative of d**3 + 4*d**3 - 7*d**3 - 22*d**2 - 22*d**3 wrt d?
-144
What is the third derivative of -9*r**2 + r**4 + 5*r**2 - 3*r**4 wrt r?
-48*r
Find the third derivative of -6*g**2 + 16*g**3 - 6*g**3 - g**2 wrt g.
60
Let t(i) = -i**4 + i**3 - i**2 + 1. Let m(y) = -28*y**4 - 3*y**3 + 32*y**2 - 3. Let v(a) = -m(a) - 3*t(a). Find the third derivative of v(w) wrt w.
744*w
Suppose -5*o - n + 16 = 0, -5*n = 5*o - 0*n - 20. Find the second derivative of 7*l**o + 4*l + 2*l + 4 - 4 wrt l.
42*l
Let n(l) = l**3 - l**2 + l + 1. Let j(a) = -10*a**4 + 5*a**3 - 5*a**2 - a + 5. Let h(s) = -j(s) + 5*n(s). What is the second derivative of h(o) wrt o?
120*o**2
Let h = 8 + -1. Suppose 6*l - 32 = 2*l - 5*z, 0 = -l - z + h. What is the derivative of c + 5 - c - 8 - 3*c**l wrt c?
-9*c**2
Find the second derivative of n - 4*n**4 - n**2 + 3*n**2 - 2*n**4 + 2 + 7*n**4 wrt n.
12*n**2 + 4
Let a(o) be the second derivative of o**7/210 - 7*o**4/24 + 3*o**2 + 5*o. Let h(u) be the first derivative of a(u). What is the second derivative of h(x) wrt x?
12*x**2
Let h(k) be the first derivative of -7*k**4/2 - 9*k**2 + 14. Find the second derivative of h(v) wrt v.
-84*v
Find the first derivative of 0 - 10 - 4 + 26*c**4 - 10 wrt c.
104*c**3
Let f = -3 + 8. Find the second derivative of -4*m**2 - 3 + 3 + f*m wrt m.
-8
Find the second derivative of 24*o + 25*o - 17*o + 2*o + 36*o**4 wrt o.
432*o**2
Let z = 7 + -9. Let v(u) = -u**3 + u**2 - u + 1. Let m(b) = 7*b**3 - 2*b**2 + 2*b - 5. Let t(a) = z*v(a) - m(a). Find the first derivative of t(c) wrt c.
-15*c**2
Suppose 0*a - 2*t - 6 = 2*a, a - 4*t = -18. Let j = -3 - a. What is the first derivative of 4 - j*h**4 + 4*h**4 - 2 wrt h?
4*h**3
Let m be 1/(1/15) - 1. Suppose 2*t - m = -2*x, -4*x + 4*t = 12 - 0. What is the third derivative of z**5 + 8*z + z**x - 8*z wrt z?
60*z**2
Let l(r) be the first derivative of 5*r**2/2 - 5*r + 8. Differentiate l(y) wrt y.
5
Let p(i) = i**3 + 9*i**2 + 9*i + 11. Let h be p(-8). Suppose 2*o = -10, -2 = 2*j + 5*o + 11. Find the third derivative of -z**6 - h*z**2 - z**j + 2*z**2 wrt z.
-240*z**3
Suppose v - 15 = -4*t, -t - 9 = v - 5*v. Differentiate 9*s**2 + t*s - 8 - 4*s + s with respect to s.
18*s
Let x(f) be the first derivative of 23*f**2/2 + 16*f + 15. Find the first derivative of x(m) wrt m.
23
Let u(r) be the first derivative of 0*r - 9 - 2/5*r**5 + 8/3*r**3 + 0*r**4 + 0*r**2. Find the third derivative of u(d) wrt d.
-48*d
Differentiate 1 + 7 - 7*b - 4 + 3 wrt b.
-7
Suppose -3*z = -2*z. What is the second derivative of d + 2*d**5 + z*d**2 - d**5 + 0*d**2 wrt d?
20*d**3
What is the third derivative of 13*b**2 - b**6 + 966*b**3 - 966*b**3 wrt b?
-120*b**3
Suppose 4*o + 0*o - 12 = 0. Let c be 2/o*-3 - -5. What is the third derivative of 0*w**2 - 2*w**2 + w**2 - c*w**3 wrt w?
-18
Let x(n) be the second derivative of -n**8/112 - n**5/15 - 3*n**2/2 - 6*n. Let c(h) be the first derivative of x(h). Find the third derivative of c(s) wrt s.
-180*s**2
Let d(j) be the second derivative of j**5/5 + 3*j**2 - 2*j. What is the derivative of d(w) wrt w?
12*w**2
Let h(x) = 3*x**2 + x. Let d be h(-1). Suppose -2*k - d*k = 0. What is the first derivative of -4 + 7 + 0*z + k*z + z wrt z?
1
Suppose 5*q + 0*q = -2*h - 18, 2*h = 3*q + 14. Let a be (-1 - -3) + -1 + h. Find the second derivative of -y**2 + y + y + 3*y**a - 5*y wrt y.
4
Let s(g) be the first derivative of 0*g**2 + 0*g**4 + 1/3*g**6 + 0*g**5 + 0*g - 1/3*g**3 - 3. What is the third derivative of s(q) wrt q?
120*q**2
Let n be 26 - (-9)/(6/(-2)). What is the third derivative of 7*w**2 + n*w**2 - 2*w**6 - 22*w**2 wrt w?
-240*w**3
Let i(z) = 8*z**5 + 2*z**3 + 2*z**2 + 3*z - 2. Let f(y) = -y**5 + y**3 + y**2 - 1. Let u(j) = 2*f(j) - i(j). Find the second derivative of u(m) wrt m.
-200*m**3
Let o(q) be the third derivative of 0*q**5 + 2*q**2 - 1/70*q**7 + 0*q**4 + 0 + 0*q**6 + 1/3*q**3 + 0*q. What is the first derivative of o(u) wrt u?
-12*u**3
Let x(q) = -40*q**4 - 6*q**2 - 31*q + 6. Let m(c) = 40*c**4 + 5*c**2 + 30*c - 5. Let b(o) = 6*m(o) + 5*x(o). What is the second derivative of b(u) wrt u?
480*u**2
Let a(o) be the first derivative of o**6/6 - 4*o**3 - 4. Find the third derivative of a(z) wrt z.
60*z**2
What is the second derivative of 3*f**5 - f**4 + f**4 + 4*f + 0*f**5 wrt f?
60*f**3
What is the third derivative of 22*v**2 + 0*v**5 - 3*v**5 + 13*v + 0*v**2 - 11*v wrt v?
-180*v**2
Let s be 6/88 + ((-10)/(-11))/5. Let g(k) be the second derivative of 0 + 2*k + 0*k**2 + 1/6*k**3 - s*k**4. Find the second derivative of g(t) wrt t.
-6
Let c(z) = -2*z - 6. Let f be c(-4). Find the second derivative of -f*d + 0*d**3 + 2*d**3 + 3*d**3 - 2*d**3 wrt d.
18*d
Let h(w) = 3*w**3 + 7*w**2 - 13*w + 2. Let a(o) = -7*o**3 - 13*o**2 + 27*o - 5. Let d(v) = 2*a(v) + 5*h(v). What is the second derivative of d(s) wrt s?
6*s + 18
Find the first derivative of -13*s - 9 - 10 - 4 + 20 wrt s.
-13
Let t = -16 + 13. Let y(v) = -v**2 + v + 1. Let b(x) = 7*x**2 - 9*x - 3. Let l(r) = t*y(r) - b(r). What is the second derivative of l(n) wrt n?
-8
Let k(u) be the second derivative of u**7/280 + u**5/120 - u**3/3 - u. Let j(x) be the second derivative of k(x). Find the second derivative of j(d) wrt d.
18*d
Let c(s) = 4*s**3 + s**2 - 1. Let g be c(1). What is the second derivative of 4*l**3 - 4*l**3 + g*l + 2*l**5 wrt l?
40*l**3
Suppose 5*s + 4 = -3*o, -5*o - 2*s + 0 = -6. Let q(i) be the first derivative of 1/2*i**o - i - 2. Find the first derivative of q(a) wrt a.
1
Suppose -3*r + 7 - 1 = 0. What is the derivative of r - 4 - 2 - 8*v**4 + 3*v**4 wrt v?
-20*v**3
Suppose -z = -2*z + 6. What is the derivative of 1 + 0*n**4 - z*n**4 + 3 + 7*n**4 wrt n?
4*n**3
Let o(l) = 8*l**4 - 6*l**2 + 11*l. Let w(a) = a**4 - a**2 + a. Let n(y) = -o(y) + 6*w(y). Find the second derivative of n(u) wrt u.
-24*u**2
Let m be 2/4*-5*-2. Let o = m + -1. Find the first derivative of 2*v + 5 + 3*v**o - 2*v - 3 wrt v.
12*v**3
Suppose 0 = 5*p - 17 - 8. Let f be (-23)/(-69)*((-2)/1 + 5). Differentiate 3 + f + 0 - p*r**4 - 2 wrt r.
-20*r**3
Let f(r) be the third derivative of -r**8/1680 - r**5/24 + r**4/24 + r**2. Let d(v) be the second derivative of f(v). Find the first derivative of d(l) wrt l.
-12*l**2
Let q(c) be the second derivative of -c**7/70 + c**3/3 + 9*c**2/2 - c. Let m(a) be the first derivative of q(a). What is the derivative of m(l) wrt l?
-12*l**3
Suppose 0 = -2*o - 4 + 10. What is the second derivative of -o*y + 0*y - y - y**5 wrt y?
-20*y**3
Let y = -11 - -16. Suppose 2*w = -y*q + 19, 9 = -q + 4*q + 2*w. Find the second derivative of 2*p**q - 3*p**5 - 2*p + p wrt p.
-20*p**3
Let k(y) = -y**3 - 10*y**2 + 4. Let b(o) = 3*o**3 + 29*o**2 - 11. Let d(m) = 4*b(m) + 11*k(m). Find the third derivative of d(i) wrt i.
6
Let q(s) be the second derivative of s**8/420 - s**4/8 - s**3/6 - 3*s. Let y(w) be the second derivative of q(w). Differentiate y(n) with respect to n.
16*n**3
What is the third derivative of -26*x**2 + 12*x**2 + 15*x**2 + 15*x**3 wrt x?
90
Let u be (-9)/(-3)*(-5)/(-3). Let w(c) be the third derivative of -1/60*c**u + 0*c**3 - 1/8*c**4 - c**2 + 0 + 0*c. Find the second derivative of w(h) wrt h.
-2
Suppose -2*s + 22 = 5*o, 4*o - 10 = -s + 10. Find the first derivative of 0 - o + 4 - 4*w wrt w.
-4
Let k = 4 - 0. Differentiate -6 - 2 - k*y + 6 wrt y.
-4
Let w(g) be the third derivative of g**6/15 - 7*g**4/24 - 5*g**2. Find the second derivative of w(z) wrt z.
48*z
Let l(h) be the third derivative of 9*h**5/20 - 14*h**3/3 + 12*h**2. Differentiate l(q) with respect to q.
54*q
What is the derivative of m**3 + 13 - m**3 - 2*m**3 - 6 wrt m?
-6*m**2
What is the first derivative of -7*i**4 - 28 + 14 + 15 wrt i?
-28*i**3
Suppose -3*q - 6 = -24. Find the first derivative of q*s - 2*s + 3 - 7 wrt s.
4
Suppose 18 = -3*i + 9*i. Suppose 2*a = 5*a - 12. Differentiate -a*k**2 - i - 2*k**3 + 0*k**2 + 4*k**2 with respect to k.
-6*k**2
Let o(x) be the second derivative of -7*x**3/3 - 12*x**2 - 42*x. Differentiate o(r) with respect to r.
-14
Differentiate -95*f + 171*f - 2 - 84*f with respect to f.
-8
Let o(d) be the third derivative o