at is the derivative of n(k) wrt k?
-12*k**3
What is the third derivative of 7*n**6 + 88*n**2 - 3*n**5 - 24*n**2 - 17*n**2 wrt n?
840*n**3 - 180*n**2
Let w(n) be the first derivative of -3*n**5/20 - n**3/2 - n + 1. Let c(h) be the first derivative of w(h). What is the second derivative of c(o) wrt o?
-18*o
Suppose -6*q = -2*q - 20. Suppose t = 0, 2*i + q*t - 6 + 2 = 0. Find the third derivative of 2*d**5 + 2*d**i + 0*d**2 + 0*d**2 wrt d.
120*d**2
What is the first derivative of -8*m**3 - 3 - 11 + 5 + 12*m**3 wrt m?
12*m**2
Suppose -4*a + 65 = a. Suppose 5*q - a + 3 = 0. Find the third derivative of 3*c**2 - c**2 - 2*c**2 + q*c**2 - 3*c**3 wrt c.
-18
Let j(y) be the third derivative of -2*y**5/15 + y**4/12 + 2*y**2. What is the second derivative of j(p) wrt p?
-16
Let m(t) = -t**2 - 7*t - 7. Let u be m(-6). Let a be (1 + (-3 - u))*-2. What is the third derivative of 2*l**a + l**5 + 0*l**5 - l**2 wrt l?
60*l**2
Let z(k) be the first derivative of k**5 + 3*k**3 - 1. Find the third derivative of z(q) wrt q.
120*q
What is the derivative of -2 + 0 + 123*n - 123*n + 4*n**2 wrt n?
8*n
Suppose -3*z + 4*m - 6 = 2*z, 0 = 4*m - 16. Suppose 0 = -2*h + 3*h + 5*s - 12, -4 = -2*s. Find the second derivative of h - p - p**z - 2 wrt p.
-2
Let w(h) be the third derivative of h**5/30 - h**4/12 - 5*h**2. What is the second derivative of w(z) wrt z?
4
Let q(h) = h**3 - 7*h**2 + 2*h - 3. Let c be q(7). Let f = c - 7. What is the third derivative of -4*s**2 + 3*s**2 + 0*s**f - s**4 wrt s?
-24*s
Find the first derivative of -5*q - 4 + 4*q + 2 - 4*q wrt q.
-5
Let u(n) be the second derivative of 0*n**4 + 0 + 5/42*n**7 + 0*n**5 + 0*n**2 + 5*n + 0*n**6 + 1/2*n**3. Find the second derivative of u(w) wrt w.
100*w**3
Let c(l) = -41*l**2 - 16*l + 4. Let p(m) = 122*m**2 + 47*m - 11. Let s(g) = 11*c(g) + 4*p(g). Find the second derivative of s(a) wrt a.
74
Let z(k) = k**3 - 4*k**2 - 4*k. Let p(x) = -x**3 + 3*x**2 + 3*x + 1. Let g(m) = 4*p(m) + 3*z(m). What is the first derivative of g(o) wrt o?
-3*o**2
Let u(r) be the first derivative of -9*r**4/4 - 7*r + 12. What is the first derivative of u(d) wrt d?
-27*d**2
Let k(s) be the third derivative of -s**6/40 + 11*s**4/24 + 6*s**2. What is the second derivative of k(y) wrt y?
-18*y
Let w(b) be the third derivative of -b**6/12 + b**5/20 + 10*b**2. Find the third derivative of w(d) wrt d.
-60
Let v = -1 + 3. Suppose -5*g + 2*y + 4 = 0, -g - y = 2*y - 11. Find the second derivative of -2*x + x**g - 2*x + v*x wrt x.
2
Let y(n) be the first derivative of -9*n**4/4 - 4*n**3 + 11. What is the third derivative of y(g) wrt g?
-54
Let j(d) = -d**4 + d**3. Suppose -7*q = -3*q - 4. Let m(v) = -6*v**4 + 2*v**3 - v**2. Let a(i) = q*m(i) - 2*j(i). What is the third derivative of a(t) wrt t?
-96*t
Let w(u) be the second derivative of -1/12*u**4 + 0*u**2 + 0 + u + 1/3*u**3. Find the second derivative of w(m) wrt m.
-2
Differentiate 0*z**2 + 2*z**4 + 30 + 20 - 3*z**4 - 2*z**2 with respect to z.
-4*z**3 - 4*z
Let s(m) = m**3 - m**2 + m. Let j(i) = -2*i**3 - 5*i**2 + 5*i + 39. Let u(c) = j(c) - 5*s(c). What is the derivative of u(k) wrt k?
-21*k**2
Suppose 5*z = -0*u - u + 23, 4*z = u + 13. What is the second derivative of t**5 + t - u*t**5 + 2*t + 0*t wrt t?
-40*t**3
Let s(h) be the third derivative of -h**7/42 + 7*h**4/24 - h**2. Find the second derivative of s(n) wrt n.
-60*n**2
Let u(t) = 15*t**4 + 4*t**3 - 4*t**2 - 9*t. Let a(h) = -h**4 - h**3 + h**2 + h. Let o(d) = 4*a(d) + u(d). Find the second derivative of o(b) wrt b.
132*b**2
Suppose -12 + 60 = 4*a. Suppose i = -i + a. What is the third derivative of 0*s**2 + s**2 + s**i + 0*s**2 wrt s?
120*s**3
Let a(d) = -1 + 5 + 2*d + d**2 + 7*d**2 + 2. Let f(s) = 15*s**2 + 4*s + 11. Let u(x) = -11*a(x) + 6*f(x). What is the second derivative of u(v) wrt v?
4
Let g(c) = c**2 - 10*c + 12. Let s be g(9). What is the third derivative of 5*p**5 + 2*p**2 - 5*p**2 - s*p**5 wrt p?
120*p**2
Let o(s) be the second derivative of -19*s**8/56 + s**4/4 + 14*s. What is the third derivative of o(m) wrt m?
-2280*m**3
Let z(b) = -b**2 + b - 1. Let p(f) = 6*f**2 - 8*f + 27. Let h(n) = 2*p(n) + 14*z(n). Differentiate h(k) with respect to k.
-4*k - 2
Let y(j) be the second derivative of j**6/15 + 5*j**3/6 + 6*j. What is the second derivative of y(i) wrt i?
24*i**2
Let x(k) be the first derivative of 0*k**2 + 0*k**5 + 2 + 0*k**6 + 0*k - 2/7*k**7 + k**3 + 0*k**4. Find the third derivative of x(z) wrt z.
-240*z**3
Let t(w) = -16*w**3 + 4*w**2 - 4*w - 15. Let a(z) = 48*z**3 - 11*z**2 + 11*z + 44. Let s(l) = 4*a(l) + 11*t(l). What is the derivative of s(u) wrt u?
48*u**2
Let d(r) = -r**3 + 13*r**2 - 4*r - 4. Let z(m) = m**3 + m + 1. Let t(a) = -d(a) - 4*z(a). What is the third derivative of t(q) wrt q?
-18
What is the third derivative of 2*y + y**2 - 32*y**4 - 3*y**2 - y - 6*y**4 wrt y?
-912*y
Let o(t) = 31*t - 2. Let u(m) = 15*m - 1. Let j(v) = -3*o(v) + 7*u(v). Let g be j(1). Find the second derivative of -g + p + 11 - 3*p**3 - p**3 wrt p.
-24*p
Let m = -67 - -69. Let u(o) be the first derivative of m + 0*o + 1/3*o**3 - 3/2*o**2. Find the second derivative of u(j) wrt j.
2
Let j(r) be the first derivative of r**6/3 + 29*r**3/3 - 15. Find the third derivative of j(i) wrt i.
120*i**2
Let a(m) = 5*m**3 - 2*m + 1. Let w be a(1). Find the third derivative of 2*g**2 - 3*g**2 - g**3 + w*g**2 wrt g.
-6
Let a(s) = 9*s**2 + 3*s - 6. Let b(n) = 37*n**2 + 13*n - 25. Let d(u) = -26*a(u) + 6*b(u). What is the first derivative of d(o) wrt o?
-24*o
Suppose 2*z = -j - z - 10, 3*j - 14 = 2*z. What is the third derivative of -3*g**2 - j*g**5 + 2*g**2 + 6*g**2 + 3*g**5 wrt g?
60*g**2
Let l(b) be the second derivative of 15*b**8/56 + 15*b**4/4 + 48*b. Find the third derivative of l(v) wrt v.
1800*v**3
Let f be 0 + (0 - 6)/(-3). Let p(m) be the second derivative of 0 + 3/2*m**f - 2*m - 1/2*m**3. Differentiate p(w) wrt w.
-3
Let w(g) be the third derivative of 5*g**9/504 - g**5/20 - 4*g**2. Find the third derivative of w(m) wrt m.
600*m**3
Let o(a) be the second derivative of -a**6 + a**4/6 - 49*a**2/2 - 28*a + 1. What is the derivative of o(g) wrt g?
-120*g**3 + 4*g
What is the derivative of m**4 + 15*m**3 - 31 - 1731*m + 1731*m wrt m?
4*m**3 + 45*m**2
Suppose 2 = 2*i - i. Find the third derivative of m**6 + 4*m**2 + 2*m**6 - 3*m**i wrt m.
360*m**3
Let m(w) be the third derivative of 13*w**5/60 + 4*w**3/3 + 4*w**2. Find the first derivative of m(y) wrt y.
26*y
Let q(w) be the second derivative of -w**4/2 + w**3/3 + w**2 - 25*w. What is the second derivative of q(f) wrt f?
-12
Let g = 3 + -1. Suppose 10 = 3*q + g*q. What is the second derivative of -2*x + 2 - q + x**3 wrt x?
6*x
Let d(j) = -39*j**2 + 15. Let y = -12 + 7. Let i(n) = 8*n**2 - 3. Let x(s) = y*d(s) - 24*i(s). Differentiate x(o) with respect to o.
6*o
Let r(f) be the third derivative of -f**9/3024 + f**5/60 + f**3/3 - f**2. Let o(x) be the first derivative of r(x). What is the second derivative of o(m) wrt m?
-20*m**3
Let k(y) = -y + 2. Let x be k(0). What is the third derivative of f**2 + f**2 - f**x + 3*f**4 wrt f?
72*f
Let i(v) be the first derivative of -v**5/30 - v**3/3 - v**2/2 - 3. Let c(g) be the second derivative of i(g). What is the derivative of c(s) wrt s?
-4*s
Find the third derivative of 105*n**2 + 4*n**4 - 90*n**2 + 9*n**4 wrt n.
312*n
Let r be 9/3 + 0 + 10/(-6). Let o(t) be the first derivative of 0*t**5 + 0*t**2 + 0*t**4 + 0*t - 1/6*t**6 + 3 + r*t**3. Find the third derivative of o(b) wrt b.
-60*b**2
Let b(t) = -34 + 21*t + 23*t + 10. Let n(f) = -15*f + 8. Let o(v) = 6*b(v) + 17*n(v). What is the derivative of o(w) wrt w?
9
Let q(u) = -u + 4. Let f = -7 + 7. Let s be q(f). Find the second derivative of 2*i - 2*i**s + 3*i**4 + 1 - 1 wrt i.
12*i**2
What is the third derivative of 3*u**2 + 2*u + 0*u - 2*u - 4*u**4 wrt u?
-96*u
What is the derivative of 2*w + 17*w + 29 + 4*w wrt w?
23
Let y = -3 - -5. Differentiate -3 + 2 + 2*a**4 + y*a**4 - a**4 with respect to a.
12*a**3
Let d(l) = l**4 - l**2 - l. Let b(j) = 32*j**4 + 4*j**2 + 4*j + 35. Let a(q) = b(q) + 4*d(q). Differentiate a(x) with respect to x.
144*x**3
Let m = -6 + 10. Differentiate -2*q + m*q - 3*q - 2*q - 2 wrt q.
-3
Let x(r) be the second derivative of 2*r**7/105 - 5*r**4/24 - 2*r**2 + 3*r. Let b(d) be the f