derivative of a(t) wrt t?
10*t
Let w be (-4)/(-20) - 2/10. Let a(k) be the first derivative of -k**2 + w*k**3 + 1/4*k**4 + 0*k + 1. What is the second derivative of a(i) wrt i?
6*i
Let g be 7/5 - (2 + -1). Let i(y) be the first derivative of -1 + y**2 + 0*y + g*y**5 + 0*y**4 + 0*y**3. What is the second derivative of i(h) wrt h?
24*h**2
Let q(i) = 10*i**3 - i**2 - 4*i + 1. Let z(s) = s**3 - s**2 + 1. Let m(b) = q(b) - z(b). What is the second derivative of m(p) wrt p?
54*p
Let n(t) be the second derivative of -2*t + 0*t**3 - 1/6*t**4 + t**2 + 0. What is the derivative of n(k) wrt k?
-4*k
Let b(r) be the third derivative of -3*r**2 + 0*r**6 - 1/210*r**7 + 0*r**5 + 0 - 1/2*r**3 + 0*r + 0*r**4. Differentiate b(s) wrt s.
-4*s**3
Find the first derivative of 0*b**2 + 0*b**2 - 35 - 73*b**4 + 69*b**4 wrt b.
-16*b**3
Suppose -5 = -2*g + 5. Suppose -2*w - 2*w - 1 = 3*u, -5*w = -u - 13. What is the second derivative of w*z + 0*z - z**4 - g*z + z wrt z?
-12*z**2
Let n be 2/(-9) - 261/(-81). Differentiate 5*d**3 + 5*d**3 - 8*d**3 - n wrt d.
6*d**2
Let t(n) = 79*n**3 + 7*n**2 - 70*n. Let d(c) = -53*c**3 - 5*c**2 + 47*c. Let p(m) = 7*d(m) + 5*t(m). Find the second derivative of p(o) wrt o.
144*o
Differentiate 2 + 3 - 8*y - 8*y + 8*y with respect to y.
-8
Let g = -3 + 8. Find the second derivative of -o**5 - o**5 + o**5 + 2*o**g - 7*o wrt o.
20*o**3
Let d(m) be the second derivative of 0*m**6 + 0 - 1/42*m**7 + 0*m**3 + 0*m**5 - 1/12*m**4 + 0*m**2 - 2*m. What is the third derivative of d(x) wrt x?
-60*x**2
Let b(c) be the second derivative of -c**3/3 + 2*c**2 - 2*c. Let z(a) = 6*a - 11. Let l(k) = -8*b(k) - 3*z(k). What is the first derivative of l(f) wrt f?
-2
Find the third derivative of n**4 + 0*n**2 + n**2 + 4*n**2 wrt n.
24*n
Suppose -3*v + 9*v = 0. Let u(k) be the first derivative of 0*k**4 + 0*k**3 + 1 + v*k - k**2 - 1/5*k**5. Find the second derivative of u(o) wrt o.
-12*o**2
Let l(r) be the second derivative of 2*r**2 + r + 0*r**5 + 1/10*r**6 + 0*r**4 + 0 + 0*r**3. Differentiate l(m) with respect to m.
12*m**3
Let r(m) = -2*m**4 + 3*m**3 - 10*m**2 + 3*m - 3. Let u(q) = q**4 + q**3 + q - 1. Let k(i) = -r(i) + 3*u(i). Find the third derivative of k(l) wrt l.
120*l
Suppose 0 = -5*j + 3*g + 22, 2*j - 5*j - 4*g + 19 = 0. Find the second derivative of 3*d + d**j + 2 - 2 - 2*d wrt d.
20*d**3
Let z(q) = -q**3 + 3*q**2 + 3*q - 2. Let c be z(2). What is the third derivative of -5*o**2 + c*o**2 + o**6 + 2*o**6 wrt o?
360*o**3
Let y(p) = -p**2 + p + 1. Let d be 10/15 + (-1)/(-3). Let k(x) = -x**3 - 6*x**2 + 7*x + 6. Let b(s) = d*k(s) - 6*y(s). Find the second derivative of b(w) wrt w.
-6*w
Let w(k) be the third derivative of -k**4/3 + k**3/2 + 2*k**2. Differentiate w(c) wrt c.
-8
Let b(m) be the first derivative of -m**6/180 + m**4/12 + m**3 + 2. Let v(l) be the third derivative of b(l). What is the derivative of v(x) wrt x?
-4*x
Let u be (-2)/(-2) + 1 + 1. Let y be (-2)/4 + 5/2. Find the third derivative of 2 - y + l**4 + u*l**2 wrt l.
24*l
Let n(x) = x**2 - 11*x + 4. Let j(c) = c**2 - 12*c + 5. Let z(q) = 4*j(q) - 5*n(q). Find the second derivative of z(m) wrt m.
-2
Let z(a) be the first derivative of 2*a**6/3 - 2*a**2 - 6. Find the second derivative of z(u) wrt u.
80*u**3
Suppose -4*l + 2*l = -20. Suppose 2 + l = 2*s. Find the third derivative of -s*x**6 + x**6 - 2*x**2 + 3*x**6 wrt x.
-240*x**3
Let w(g) be the third derivative of -3*g**4/8 - 5*g**3/3 - 6*g**2. Differentiate w(a) wrt a.
-9
Suppose 9 = 4*q - q. Find the second derivative of -t**3 - 2*t**3 - 2*t + 4*t**q wrt t.
6*t
Let n(o) = o**2 - 4*o. Let m be n(5). What is the derivative of -3*w**3 + 33*w - 33*w - m wrt w?
-9*w**2
Suppose 2*u + 2*u - 52 = 0. What is the second derivative of 3*n**3 + 9*n + 7*n - u*n wrt n?
18*n
Let i(o) = -o**2 - 4*o - 3. Let x be i(-2). Let n = x - -4. Find the second derivative of 3*j**5 + 2*j - 3*j**n - j**5 wrt j.
-20*j**3
Suppose 2*l + 8 = 4*l. What is the third derivative of -2*m**2 - 5*m**3 - m**2 + l*m**3 wrt m?
-6
Let v(x) = -3*x**3 + x**2 + 2*x + 1. Let r be v(-1). Let q be 4/3*r/2. Find the second derivative of 3*l**q - 2*l + 0*l**2 + 0*l + 0*l wrt l.
6
Let k(i) = 7*i - 2. Let x(t) = -7 + 1 + 20*t + 0. Let v(l) = -11*k(l) + 4*x(l). Differentiate v(q) with respect to q.
3
Let n(j) be the second derivative of 1/3*j**3 + 3*j - 1/20*j**5 + 0*j**2 + 0*j**4 + 0. What is the second derivative of n(b) wrt b?
-6*b
Let g(s) be the second derivative of 3*s + 3/10*s**6 + 0 + 0*s**5 + 5/2*s**2 + 0*s**4 + 0*s**3. Find the first derivative of g(t) wrt t.
36*t**3
What is the first derivative of 6 - 5 + 0 + 7*v**2 - 7 wrt v?
14*v
Let y = 15 + -10. What is the third derivative of -3*j**2 - 4*j**5 - j**y + 5*j**2 wrt j?
-300*j**2
Let s(p) = -2*p**4 + 7*p**3 + 7*p**2 + 14*p. Let v(m) = -m**4 + 3*m**3 + 3*m**2 + 7*m. Let g(z) = 3*s(z) - 7*v(z). What is the second derivative of g(a) wrt a?
12*a**2
Suppose 0 = 5*x - 5*b, -5*x + 2*b + 20 - 5 = 0. Find the second derivative of 0*w + w + 3*w - w + w**x wrt w.
20*w**3
Let w = 28 - 20. Suppose -w = -5*r + 7. Find the third derivative of -n**2 + n**r + 3*n**3 - 2*n**3 wrt n.
12
Let s(t) be the second derivative of 2*t**7/105 - t**4/12 - t**2 - 3*t. Let p(q) be the first derivative of s(q). Find the second derivative of p(o) wrt o.
48*o**2
Suppose 4*i - i - 14 = -5*o, -3*o = -5*i + 12. Suppose o = -4*f + r, 5*r - 13 = 3*f + 9. Find the first derivative of 3*j**2 - j**2 - 4*j**2 + 2 - f wrt j.
-4*j
Find the first derivative of 2*y**2 + 3*y**2 - 5 - 6*y**2 wrt y.
-2*y
Suppose 11 = 2*p - m, -2*p - 2*m = -p - 13. Let y = 12 - p. What is the second derivative of -r + r**5 + r**y + 2*r wrt r?
40*r**3
Let k(r) be the third derivative of r**7/42 - r**5/10 + 7*r**2. What is the third derivative of k(w) wrt w?
120*w
Let t(g) = -64*g**2 + 126*g + 16. Let f(q) = 13*q**2 - 25*q - 3. Let l(u) = -16*f(u) - 3*t(u). What is the second derivative of l(d) wrt d?
-32
Let w(x) be the second derivative of -x**5/10 - x**4/3 + 4*x. What is the third derivative of w(d) wrt d?
-12
Let w(j) = j**3 + 2*j**2 - 3*j + 4. Let n be w(-3). Find the third derivative of 4*k**2 - 2*k**2 + n*k**2 - 3*k**2 - 6*k**3 wrt k.
-36
Let p(m) = m**3 - m**2 - m + 5. Suppose 3*t = -2*j, -j + 2*t = -4*j. Let r be p(j). Find the second derivative of -2*n + n**3 + r*n - 4*n**3 wrt n.
-18*n
Let p(u) be the first derivative of u**4 + 11*u**2 + 13. Find the second derivative of p(x) wrt x.
24*x
Let i(h) = 41*h**2 - 5*h + 41. Let o(z) = -62*z**2 + 7*z - 61. Let x(j) = -7*i(j) - 5*o(j). What is the first derivative of x(a) wrt a?
46*a
Suppose 0*h = -h + 2. What is the third derivative of -3*w**2 + 2*w**6 + h*w**2 - w**6 + 5*w**2 wrt w?
120*w**3
Let t be 2*-1*(-27)/18. What is the third derivative of 3*q**2 + t*q**4 - 3*q**4 + 2*q**4 wrt q?
48*q
Let x(p) be the second derivative of 0*p**2 + 0*p**4 + 11/6*p**3 - 4*p + 0*p**5 - 1/30*p**6 + 0. What is the second derivative of x(y) wrt y?
-12*y**2
What is the second derivative of -25 + 2*z**3 + 12*z + 25 wrt z?
12*z
Let l(v) be the second derivative of 7*v**6/30 - 5*v**4/12 - 8*v. What is the third derivative of l(t) wrt t?
168*t
Let q(r) be the first derivative of -4*r**5/5 - 3*r**3 + 6. Find the third derivative of q(y) wrt y.
-96*y
Suppose 2*v + 0 = 6. Suppose -x = v*x - 16. What is the derivative of 2 + 7*o - 7*o - 3*o**x wrt o?
-12*o**3
Suppose 0 = -6*s + 10*s. What is the third derivative of t**2 + s*t**2 + 4*t**4 - 2*t**2 - 10*t**4 wrt t?
-144*t
Let b(g) be the second derivative of 5*g**4/12 + 2*g**3/3 - 9*g. Find the second derivative of b(p) wrt p.
10
Let b(j) = j**4 + j**3 + j**2 - j. Let v(z) = -8*z**4 + 5*z**3 + 5*z**2 - 8*z. Let n(x) = 5*b(x) - v(x). What is the second derivative of n(p) wrt p?
156*p**2
Let x = 9 + -14. Let b(y) = 6*y**2 + 7*y + 5. Let s(t) = 5*t**2 + 6*t + 4. Let h(a) = x*s(a) + 4*b(a). Find the second derivative of h(w) wrt w.
-2
Suppose 2*d + d = 2*r + 7, -d = -5*r + 15. Let q be ((-2)/r)/(2/(-28)). What is the third derivative of -q*l**6 + 3*l**6 - 3*l**2 + 3*l**6 wrt l?
-120*l**3
Find the third derivative of 5*h**2 - 31*h**3 + 31*h**3 - 6*h**5 wrt h.
-360*h**2
Let u(o) be the second derivative of 9*o**3/2 - 7*o**2 - 23*o. What is the first derivative of u(n) wrt n?
27
Suppose 15 = 3*o - 0*o. What is the second deri