Let l(a) be the third derivative of 1/12*a**5 + 7*a**2 + 0 + 0*a**3 + 5/24*a**4 + 0*a. Find the second derivative of l(i) wrt i.
10
Let d(u) be the third derivative of -3*u**2 + 0 + 0*u - 1/24*u**6 + 0*u**4 + 1/30*u**5 + 0*u**3. What is the third derivative of d(t) wrt t?
-30
Let v(x) = -x**2 + 8*x. Let b be v(8). Let j(w) = w**2 - w + 2. Let a be j(b). Find the second derivative of q**2 + q**2 + q - 3*q**a wrt q.
-2
Suppose 6 - 1 = -5*d - 5*q, -d = 4*q + 10. What is the third derivative of -35*i**2 + d*i**3 + 15*i**2 + 18*i**2 wrt i?
12
Let b(w) = w**3 + w. Let m(a) = 4*a**3 - 4*a**2 + 2*a. Let h(q) = -2*b(q) + m(q). What is the third derivative of h(d) wrt d?
12
What is the second derivative of -10*k**2 + 10*k**2 - 11*k**3 - 4*k wrt k?
-66*k
Differentiate 21*r**4 - 14 + 3 - 7 with respect to r.
84*r**3
Let w(a) be the first derivative of -5*a**2/2 + 4*a + 3. What is the first derivative of w(c) wrt c?
-5
Let a(z) = z + 6. Let m be a(-6). Let l(n) be the second derivative of 0*n**2 - 1/6*n**4 - 1/6*n**3 + n + m. What is the second derivative of l(r) wrt r?
-4
Let a(d) be the second derivative of 3/2*d**2 - 3*d + 0 - 5/6*d**3. Differentiate a(k) wrt k.
-5
Let n(s) = 0*s**2 + 2*s + 6*s**2 + 4*s + 9*s**3 - 5. Let i(j) = -j**3 - j**2 - j + 1. Let w(o) = -6*i(o) - n(o). What is the first derivative of w(d) wrt d?
-9*d**2
Let g be 2*(-1 - (-1 + -1)). Suppose 0 = w + 3*q - 15, 5*w - 2*w + 2*q - 24 = 0. Find the third derivative of -4*y**2 + 4*y**2 - y**g + y**w wrt y.
120*y**3
Let a(l) be the first derivative of -8*l**3/3 + l - 7. Differentiate a(d) wrt d.
-16*d
Let p(c) be the first derivative of 2*c**7 - c**3/3 + 20. What is the third derivative of p(v) wrt v?
1680*v**3
Let a(g) = 6*g**3 + 6*g**2 + 6*g + 10. Let t(h) = -6*h**3 - 7*h**2 - 7*h - 10. Let m(n) = -7*a(n) - 6*t(n). Differentiate m(d) with respect to d.
-18*d**2
Let z(c) = c**3 - 5*c**2 + 4*c + 1. Let x be z(4). What is the first derivative of x + 3*i**2 - 9*i**2 + 3 wrt i?
-12*i
Let j(k) be the first derivative of 0*k**5 + 4 - 1/7*k**7 + 0*k**6 + 0*k**2 + 0*k + 0*k**4 + 2/3*k**3. What is the third derivative of j(x) wrt x?
-120*x**3
Let l = 3 + 2. Let z(j) = -1 - 2 + 2*j**2 - j**2. Let x(w) = -w**2 + 3. Let s(c) = l*z(c) + 6*x(c). Find the first derivative of s(y) wrt y.
-2*y
Suppose 2*m - 2*r = 14, 6 + 9 = m - 5*r. Suppose -2 = 3*q + m*j - 8, -2*q + 4 = 2*j. Differentiate -q*c**2 + 0*c**2 - 2 + 3*c**2 wrt c.
2*c
Let s(c) = -c**2 + c + 1. Let z(k) = 6*k**2 - 8*k - 7. Let m(t) = -24*s(t) - 3*z(t). Differentiate m(b) wrt b.
12*b
Let z(t) be the first derivative of 4 - 2*t + 4*t**5 - 3*t**5 + 1. Find the first derivative of z(r) wrt r.
20*r**3
Let m(a) = 7*a + 5. Let g(j) = -29*j - 20. Suppose 0 = 5*n + 7 + 3. Let c(p) = n*g(p) - 9*m(p). Differentiate c(r) wrt r.
-5
Let v(m) be the second derivative of m**6/6 + 7*m**4/12 + 4*m. Find the third derivative of v(c) wrt c.
120*c
Let h(w) = 7*w - 4. Let s(g) = -g. Let x(q) = h(q) + 4*s(q). Let o be x(3). What is the second derivative of 0*c + c**5 + 4*c - o*c wrt c?
20*c**3
Let u(g) = g**2. Let y(p) = 25*p**2 + 9*p. Let w(q) = 6*u(q) - y(q). Find the second derivative of w(z) wrt z.
-38
Let m = -23 + 15. Let o = m + 10. Find the third derivative of -o*x**3 + 3*x**3 - 8*x - 2*x**2 + 8*x wrt x.
6
Let k(f) be the first derivative of -f**4/12 - f**3/2 + 2*f - 4. Let b(j) be the first derivative of k(j). Find the second derivative of b(m) wrt m.
-2
Let z(o) = -10*o**3 - 3*o**2 + 7*o + 3. Let g(w) = w**3 + w**2 - 1. Let h(y) = 3*g(y) + z(y). What is the second derivative of h(l) wrt l?
-42*l
Suppose -3*w - 4 = -7*w. Let o = 1 - w. Find the first derivative of o + 1 + 3*x**3 - 2*x**3 wrt x.
3*x**2
Let i(r) = -r**3 - r + 2. Let f be i(0). Let c = 6 + -4. What is the third derivative of -4*o**3 + o**c + 4*o**3 + f*o**6 wrt o?
240*o**3
Suppose -2*q - 18 = -4*u, 5*u - 27 = q + 3*q. What is the second derivative of 0*d - 4*d + 7*d**u + 4*d - 4*d wrt d?
42*d
Let v be (-5)/(-2) - 2/4. Suppose -v = -2*i - 0*i. What is the second derivative of -1 - 4*f**2 + i + 2*f + f**2 wrt f?
-6
Suppose 4*q = -0*q + 5*c + 30, 0 = 4*c - 8. Differentiate 1 + 4 + w**2 - q with respect to w.
2*w
What is the second derivative of g**4 - 6*g**4 + 0*g**4 - 3*g**4 + 9*g wrt g?
-96*g**2
Let c(t) = -t**5 - t**3 + t - 1. Let f(k) = -6*k**5 - 4*k**3 + 7*k**2 + 4*k - 4. Let s(j) = -4*c(j) + f(j). Find the third derivative of s(w) wrt w.
-120*w**2
Let o(u) be the second derivative of 3*u**5/20 - u**4/6 + 5*u**3/3 - 23*u + 2. What is the second derivative of o(j) wrt j?
18*j - 4
Let g(i) = i**3 + i**2 + i + 1. Let k(f) = -2*f**3 + 16*f**2 + 68*f - 6. Let z(d) = 4*g(d) + k(d). Find the second derivative of z(h) wrt h.
12*h + 40
Let j(x) be the third derivative of x**8/560 - x**5/30 + x**3/2 - 2*x**2. Let n(f) be the first derivative of j(f). What is the second derivative of n(z) wrt z?
36*z**2
Suppose z + 3*t + 12 = 0, 4*z - 2*t + 3 = t. Let i(a) = -a + 1. Let x(f) = -3*f**2 + 3*f - 1. Let p(s) = z*i(s) - x(s). Find the first derivative of p(q) wrt q.
6*q
Let l(g) = 49*g**5 - 7*g**3 + 40*g**2. Let y(b) = -24*b**5 + 3*b**3 - 20*b**2. Let w(f) = 3*l(f) + 7*y(f). Find the third derivative of w(t) wrt t.
-1260*t**2
Let m be (4/5)/(2/5). Find the second derivative of m*t + 0*t**2 + 0*t**2 + 3*t**4 wrt t.
36*t**2
Let n(t) be the third derivative of t**4/4 - 3*t**3/2 - t**2. What is the derivative of n(q) wrt q?
6
Find the third derivative of -24*j**3 - 3*j**2 - 22 + 12*j**2 + 22 wrt j.
-144
Let y(r) = -4*r**4 + 13*r**3 + 11*r**2 - 6*r - 11. Let f(x) = -x**3 - x**2 - x + 1. Let b(q) = -22*f(q) - 2*y(q). What is the second derivative of b(v) wrt v?
96*v**2 - 24*v
Suppose -1 = b - 3*z - 16, b + 2*z = 0. Suppose 2*h + b = 5*o + h, -5 = -3*o + 2*h. Differentiate o + 0 - 2*i**2 + 1 wrt i.
-4*i
Let u(z) = 6*z**4 - 8*z**2 + 4*z. Let d(m) = 7*m**4 - 9*m**2 + 5*m. Let x(o) = -4*d(o) + 5*u(o). Find the third derivative of x(v) wrt v.
48*v
Let j(o) be the third derivative of -o**6/60 + 7*o**3/6 - 2*o**2. Differentiate j(f) with respect to f.
-6*f**2
What is the derivative of 451*a**2 - 1 - 451*a**2 - 29*a**4 wrt a?
-116*a**3
Let f be (2 - (0 - -1))*-6. Let h = f - -8. What is the second derivative of a**5 - 2 + a + 2*a + h wrt a?
20*a**3
Let z(g) be the second derivative of g**6/40 + g**4/24 - g**2 - 2*g. Let m(b) be the first derivative of z(b). What is the second derivative of m(w) wrt w?
18*w
Let p(h) = h**3 + h**2 - 1. Let z(u) = -13*u**3 - 5*u**2 + 4. Let q(n) = 4*p(n) + z(n). What is the third derivative of q(l) wrt l?
-54
Let c(n) = 7*n**3 - 4*n + 3. Suppose 0 = 2*p - 2 - 6. Let r(i) = 6*i**3 - 3*i + 3. Let u(w) = p*r(w) - 3*c(w). What is the first derivative of u(s) wrt s?
9*s**2
Let o(m) be the third derivative of 0*m + 0*m**5 - 3*m**2 + 0*m**3 - 1/12*m**4 + 0 + 0*m**6 - 1/210*m**7. Find the second derivative of o(q) wrt q.
-12*q**2
Let v(z) = -3*z + 2 + 3 + z**2 + 1 - 2. Let b be v(3). Find the first derivative of 3 - b - 4 - 3*l**2 + 3 wrt l.
-6*l
Let g(j) be the second derivative of 7*j**5/5 + j**4 - j**2/2 - 4*j. Find the third derivative of g(c) wrt c.
168
Let g(n) be the first derivative of -5*n**3/3 - 2*n + 3. Differentiate g(p) with respect to p.
-10*p
Let n(w) be the first derivative of 2*w**3 - 26*w + 48. Differentiate n(o) wrt o.
12*o
Let w(h) = 3*h**5 + 4*h**4 - 4*h**3 - 26*h + 4. Let u(c) = c**5 + c**4 - c**3 - c + 1. Let s(r) = 4*u(r) - w(r). What is the second derivative of s(a) wrt a?
20*a**3
Find the first derivative of 13*l**2 - 45 - 11*l + 11*l wrt l.
26*l
What is the first derivative of 51*s - 13 + 0 - 21*s + 25*s wrt s?
55
Let l = -16 + 24. Let w = -3 + l. Differentiate 0 + 3 - 2*b - w with respect to b.
-2
Let l(t) be the third derivative of t**4/3 - 7*t**3/6 + 4*t**2. What is the first derivative of l(s) wrt s?
8
Let r(x) = -4*x**4 + 8*x**2 + 3*x + 3. Let v(g) = 12*g**4 - 23*g**2 - 8*g - 8. Let w(u) = 8*r(u) + 3*v(u). What is the third derivative of w(s) wrt s?
96*s
Let l(h) = 2*h. Let c be l(2). What is the third derivative of -c*g**6 - 9*g**2 + 5*g**2 + 2*g**2 wrt g?
-480*g**3
Let r(x) be the third derivative of x**7/30 + x**4/24 + 5*x**2. Find the second derivative of r(y) wrt y.
84*y**2
Let j(c) = -c. Let l(f) = -4*f + 3. Let u(w) = 6*j(w) - 2*l(w). Let v be u(6). What