(w) be the second derivative of w**5/10 + 13*w**2/2 - 5*w. What is the derivative of t(i) wrt i?
6*i**2
Differentiate 21 + 0*b**2 + 5*b**2 - 22 wrt b.
10*b
Let a(j) = j**5 + j**4 - j**3 - j**2 + 1. Let u(m) = -7*m**5 + m**4 - 3*m**3 + 2*m**2 - 5. Let i(x) = 3*a(x) - u(x). What is the third derivative of i(c) wrt c?
600*c**2 + 48*c
Let a(g) be the second derivative of -9*g**5/20 + 31*g**2/2 + 18*g. What is the derivative of a(j) wrt j?
-27*j**2
Suppose 0*d + 4*d - 6 = -v, -4*v = 4*d. Find the third derivative of -4*n**3 - 2*n**d + 7*n**2 - 2*n**2 wrt n.
-24
Suppose -g = 1 - 5. What is the second derivative of -3*i + g*i**2 - 8*i**2 + 3*i - i wrt i?
-8
Let d(q) = -q**4 - 4*q**2 - 3*q + 4. Let o(c) = -c**2 - c + 1. Suppose -23 + 3 = -5*t. Let y(v) = t*o(v) - d(v). Find the second derivative of y(r) wrt r.
12*r**2
Let r be (-375)/(-35) - (-2)/7. What is the third derivative of -4*n**3 + 0*n**3 + r*n**3 + n**2 wrt n?
42
Let x be (-20)/90 - 4/(-18). Suppose x*y = -y + 3. Differentiate -1 + y + 2*o**2 - 3*o**2 wrt o.
-2*o
Let c be -3*2/(-9)*6. Let s(d) = d**3 - 4*d**2 + 3. Let k be s(c). Find the third derivative of -3*y**2 + y**2 - 2*y**k + 0*y**3 wrt y.
-12
Let z(j) = -j**4 - j - 1. Let r(u) = -19*u**4 - 8*u - 6. Let n(x) = r(x) - 6*z(x). What is the second derivative of n(s) wrt s?
-156*s**2
Let c(v) be the second derivative of -v**5/10 + 3*v**2/2 + 7*v. Differentiate c(k) wrt k.
-6*k**2
Let t(f) be the first derivative of f**4/2 + 5*f - 6. What is the first derivative of t(v) wrt v?
6*v**2
Let r(w) be the first derivative of -2*w**4 + 5 - 7*w + 5 - 1. Differentiate r(f) wrt f.
-24*f**2
Let x(n) be the first derivative of 2*n**3 - 3*n - 7. What is the first derivative of x(k) wrt k?
12*k
Let v(p) be the third derivative of 1/8*p**4 + 0*p**6 + 0*p**5 + 0*p**3 + p**2 - 1/105*p**7 + 0 + 0*p. Find the second derivative of v(g) wrt g.
-24*g**2
Let a(p) = -p**2 + 5*p - 6. Let i be a(4). Let g = 4 + i. What is the second derivative of l**2 + 2*l - g*l - l wrt l?
2
Let u(k) = -k**3 + 4*k**2 - 4*k + 2. Let b be u(2). What is the second derivative of 2*t**2 + 3*t**2 + 3*t - 3*t**b wrt t?
4
Suppose 16 = -2*b - 3*s, -b - 5*s - 20 = 2. Let w be b/(2/5*-1). Find the first derivative of c**3 - 3 + w + 0*c**3 wrt c.
3*c**2
Let c(i) = -14*i**4 + 3*i**3 + 3*i**2 + 17. Let w(m) = 28*m**4 - 7*m**3 - 7*m**2 - 34. Let y(d) = 7*c(d) + 3*w(d). What is the derivative of y(s) wrt s?
-56*s**3
Let x(y) = -y**3 + 9*y**2 + 11. Let v be x(9). Suppose 3*b - 1 = v. What is the third derivative of -5*l**2 + l**4 + 3*l**2 - b*l**4 + 5*l**2 wrt l?
-72*l
Suppose 6*q - 6 = 3*q. Suppose 3*x = 4 + q. What is the third derivative of 3*y**2 + y**3 - 5*y**2 + y**x wrt y?
6
Let u(x) be the first derivative of 0*x + 0*x**4 - 3*x**2 + 8/5*x**5 + 1 + 0*x**3. What is the second derivative of u(o) wrt o?
96*o**2
Let k(a) = -16*a**5 + 6*a**3 - 6*a**2 + 4*a - 6. Let g(i) = i**5 - i**3 + i**2 + 1. Let f(r) = 6*g(r) + k(r). Find the second derivative of f(n) wrt n.
-200*n**3
Let f(w) = 23*w + 20. Let y(m) = 12*m + 10. Let z(p) = -3*f(p) + 5*y(p). What is the first derivative of z(b) wrt b?
-9
Find the third derivative of -3*l**3 - 32*l**2 + 53*l**2 + 9*l**3 + 5*l**3 wrt l.
66
Suppose -4*v + 5*w = 7, -2*v - 5 + 3 = -2*w. Find the third derivative of -t**4 - 3*t**4 - t**4 + 4*t**v wrt t.
-120*t
What is the third derivative of 0*k**2 + 13*k**3 - 3*k**3 - 6*k**2 - 6*k**2 wrt k?
60
Let m(i) = 10*i**5 + 6*i**4 + i. Let o(x) = 21*x**5 + 13*x**4 + x. Let w(p) = -13*m(p) + 6*o(p). What is the second derivative of w(c) wrt c?
-80*c**3
Let g(l) = l**3 - 2*l**2 - 3. Let o be g(3). Suppose -4*z - i + 2 = -3, -o = 2*i. Find the third derivative of 6*a**3 - 4*a**3 + 0*a**3 + a**z wrt a.
12
Let h = -43 + 73. Suppose -h = -5*l - 5*q, q = 4*l - 8*l + 18. Find the third derivative of -4*s**2 + s**4 - 3*s**4 + 4*s**l wrt s.
48*s
Let b(j) be the first derivative of -j**5/5 - 5*j**2/2 - 6. What is the second derivative of b(i) wrt i?
-12*i**2
Let k(m) = 9*m + 4. Let f(l) = -44*l - 20. Let i(p) = 6*f(p) + 28*k(p). What is the first derivative of i(q) wrt q?
-12
Suppose 4*s + 11 = 31. Suppose 4*q - 16 = -3*a, 0 = -2*a - s*q - 7 + 20. What is the first derivative of 1 - 7*g**a + 5*g**4 + 0*g**4 wrt g?
-8*g**3
Let y(c) = -10*c**4 + 3*c**2 + 9. Let b(f) = -11*f**4 + 4*f**2 + 9. Let w(p) = 3*b(p) - 4*y(p). What is the derivative of w(u) wrt u?
28*u**3
What is the second derivative of -3*y - 2*y - 3*y + y**5 - 13*y**5 wrt y?
-240*y**3
Let k(j) be the third derivative of 0 + 0*j - 2/3*j**3 - 2*j**2 + 0*j**4 + 0*j**5 - 7/120*j**6. Differentiate k(p) with respect to p.
-21*p**2
Let n(g) be the third derivative of -2*g**2 + 1/210*g**7 + 0*g**6 - 1/30*g**5 + 0 + 0*g + 0*g**4 + 0*g**3. What is the third derivative of n(f) wrt f?
24*f
Let t be (-4)/(-3)*27/2. Suppose -3*l = -0*l - t. Find the second derivative of 4*v - l*v + v - v**5 + 2*v**5 wrt v.
20*v**3
Let b(s) = -8*s**3 + 6*s - 10. Let z(q) = 9*q**3 - 7*q + 11. Let i(g) = -7*b(g) - 6*z(g). Differentiate i(h) with respect to h.
6*h**2
Find the second derivative of -15*r**5 - 12 + 7 + 2*r - 6 wrt r.
-300*r**3
Let h(d) = 9*d - 55. Let n(q) = -5*q + 27. Let y(c) = -2*h(c) - 5*n(c). Differentiate y(j) wrt j.
7
Let k = 38 - 21. Find the first derivative of 4 - k*p**4 + 3 + 1 + 21*p**4 wrt p.
16*p**3
Find the third derivative of -39*u**2 + 0*u**4 + 58*u**4 - u**4 wrt u.
1368*u
Suppose 5*t = 4*m + 10, 2*t - 4*t = -2*m - 4. Find the second derivative of 4*a + 0*a**2 - 5*a**2 + 5*a**2 + t*a**4 wrt a.
24*a**2
Let n(p) be the third derivative of -p**5/30 + p**4/24 - p**2. Let z(j) = -2*j**2 + 2*j. Let c(b) = -5*n(b) + 4*z(b). Find the second derivative of c(v) wrt v.
4
Let n(l) = l**2 + l + 62. Let j be n(0). Find the third derivative of -66*f**2 + j*f**2 - 3*f**6 + 8*f**6 wrt f.
600*f**3
Let f(r) be the second derivative of 1/24*r**4 + 1/2*r**2 + 1/2*r**3 + 0 + 2*r. Let n(a) be the first derivative of f(a). Differentiate n(b) wrt b.
1
Let y(f) = f**2 + 5. Let m be y(0). Suppose m*w - 4 = 3*w. What is the second derivative of -w*z + 6*z + z - 3*z + 2*z**2 wrt z?
4
Let p(r) be the third derivative of r**8/84 - 7*r**4/8 + 25*r**2. What is the second derivative of p(y) wrt y?
80*y**3
Let s(h) be the second derivative of -3/56*h**8 + 0 - 1/4*h**4 + 0*h**7 - 6*h + 0*h**3 + 0*h**5 + 0*h**6 + 0*h**2. What is the third derivative of s(g) wrt g?
-360*g**3
Suppose -10 = -5*v - 0*v. What is the first derivative of v - 5*y**2 + 5*y**2 + 7*y**4 - 2*y**4 wrt y?
20*y**3
Let y(z) = 11*z**4 - 2*z**3 + 2*z - 2. Let i(j) = 10*j**4 - 3*j**3 + j**2 + 3*j - 3. Let w(l) = -2*i(l) + 3*y(l). What is the third derivative of w(d) wrt d?
312*d
Let l = 6 - 4. Suppose 0 = -d + 2*b + 10, -b = 2*b + 15. Differentiate 2*o**l + d - o**2 - 2 with respect to o.
2*o
Let p(k) be the third derivative of 5*k**7/42 + 5*k**4/24 + 2*k**2. Find the second derivative of p(s) wrt s.
300*s**2
Find the third derivative of -2 - 13*x**2 - 6*x**5 + 2 + 25*x**5 wrt x.
1140*x**2
Let c(m) = m - 1. Let l(p) = -8*p**3 - 2*p + 12. Let x(h) = 4*c(h) + 2*l(h). What is the first derivative of x(f) wrt f?
-48*f**2
Let l(u) be the first derivative of -6*u**5/5 - 6*u + 6. Find the first derivative of l(z) wrt z.
-24*z**3
Let y(b) = -2*b**2 + 3*b**2 + 14 - 13. Let w(n) = -3*n**2 - 2. Let v(i) = 4*w(i) + 9*y(i). What is the derivative of v(s) wrt s?
-6*s
Let m(y) = 10*y**4 + 2*y**3 + 2*y**2 + 2*y + 37. Let u(d) = -d**3 - d**2 - d + 1. Let h(b) = -m(b) - 2*u(b). What is the derivative of h(i) wrt i?
-40*i**3
Let k(s) = s**5 - s**3 - s + 1. Let o(j) = -14*j**5 - j**3 - 6*j**2 + 1. Let w(m) = -k(m) + o(m). Find the third derivative of w(y) wrt y.
-900*y**2
Let q be 9/(-1*3/(-2)). Suppose -2 = 4*z - 18. Find the third derivative of 2*a**6 - z*a**q - 3*a**2 + 0*a**6 wrt a.
-240*a**3
Let n(y) be the first derivative of y**10/2520 - y**6/120 - 2*y**3/3 - 1. Let z(g) be the third derivative of n(g). What is the third derivative of z(o) wrt o?
240*o**3
Let h(q) be the second derivative of 7*q + 0*q**2 - 2/3*q**3 + 1/15*q**6 + 0*q**4 + 0 + 0*q**5. What is the second derivative of h(w) wrt w?
24*w**2
Suppose -g + i - 9 = -2*g, -i + 33 = 5*g. Suppose 2*l + g = 5*l. Find the second derivative of 8*q**l - 8*q**2 + q + q**3 wrt q.
6*q
Let q(o) be the first derivat