k**3
Let p(t) be the second derivative of 1/2*t**3 + 3/20*t**5 + 0*t**2 + 0*t**4 + 4*t + 0. What is the second derivative of p(s) wrt s?
18*s
Let i(n) = -n**3 - n**2 + 1. Let u(b) = 1 + 5 - b**3 - 5*b**2 - 4*b**4 + 5*b**4 - 5*b**3. Let j(y) = 6*i(y) - u(y). Find the third derivative of j(z) wrt z.
-24*z
Suppose 0*q - 4 = -q. Suppose -5*r + q + 6 = 0. Differentiate 0*a - r - 4*a + 2*a with respect to a.
-2
Let l(j) = -42*j**2 + 2*j + 27. Let k(c) = c**2 + c. Let h(a) = 2*k(a) - l(a). Differentiate h(t) with respect to t.
88*t
Let o(m) be the second derivative of 5*m**8/56 + 5*m**4/6 + m. What is the third derivative of o(q) wrt q?
600*q**3
Let f(c) be the second derivative of -7/6*c**3 - 2*c + 0 - 7/2*c**2. What is the derivative of f(h) wrt h?
-7
Let d = -9 + 9. Suppose d = h - 2*c + 7, 2*h + 2*h - 7 = c. Find the second derivative of -4*u + 4*u**4 + h*u + 4*u wrt u.
48*u**2
Find the second derivative of -10*p**5 - 31*p**5 - 23*p - 8*p wrt p.
-820*p**3
Let h(c) be the first derivative of -11*c**3 - 4*c**2 + 5. What is the second derivative of h(r) wrt r?
-66
Let w(q) = -8*q**3 + 5*q**2 + 5*q - 1. Let t(h) = -h**3 + h**2 + h. Let k(n) = 5*t(n) - w(n). Differentiate k(y) wrt y.
9*y**2
Let d(l) be the second derivative of -3*l**7/7 - 13*l**4/12 - 12*l. What is the third derivative of d(r) wrt r?
-1080*r**2
Let q(u) be the first derivative of 0*u**3 - 3/2*u**2 + 0*u**4 + 3/5*u**5 + 0*u + 4. Find the second derivative of q(s) wrt s.
36*s**2
Suppose 0 = 3*w - o - 2 - 3, -2*w + 2 = -o. What is the second derivative of 8*d**2 - 4*d**2 + w*d + 3*d - 8*d wrt d?
8
Differentiate m**2 - 12 + 0*m**2 + 18 + 2*m**2 wrt m.
6*m
Let b = 4 - 0. Let m(n) = -n**2 + 6*n - 6. Let r be m(b). Find the second derivative of 5*v - r*v - 5*v**4 - 5*v + 2*v**4 wrt v.
-36*v**2
Suppose 3*y - y + 10 = 0. Let f = 7 + y. What is the second derivative of -z + 0*z + 4*z**2 + 2*z**2 - 3*z**f wrt z?
6
Find the second derivative of -6*t + 149 - 6*t**5 - 149 wrt t.
-120*t**3
Suppose -k - 4*k + 15 = 0. What is the derivative of 1 + 2*u**3 - 3 + u**k - 1 wrt u?
9*u**2
Let p(r) be the second derivative of 0 - 1/10*r**6 + 0*r**5 + 0*r**4 + 1/3*r**3 + r + 0*r**2. What is the second derivative of p(x) wrt x?
-36*x**2
Let v(c) be the third derivative of 3*c**5/20 + c**3 - 7*c**2. What is the first derivative of v(r) wrt r?
18*r
Suppose 5*k - 24 = -3*j, -4*j - j + 18 = k. Suppose 3 - 6 = -j*h. What is the third derivative of -1 + 4*x**2 - 2*x**4 + h wrt x?
-48*x
Let y(r) be the first derivative of -3*r**2/2 + 8*r + 1. What is the derivative of y(m) wrt m?
-3
Let m = 5 - 1. Let x(w) = 9*w**4 + 4. Let a(f) = 8*f**4 + f + 3. Let y(h) = m*a(h) - 3*x(h). What is the second derivative of y(g) wrt g?
60*g**2
Let i(b) be the first derivative of -b**8/280 + b**5/30 - 5*b**3/3 + 1. Let m(l) be the third derivative of i(l). Find the second derivative of m(o) wrt o.
-72*o**2
Let w(s) be the second derivative of -5*s**4/12 - 25*s**3/6 + 6*s. Find the second derivative of w(z) wrt z.
-10
Suppose 2 + 13 = 5*t. Let w(h) = -h**3 + 5*h**2 - 3*h - 4. Let i be w(3). Find the second derivative of -t*b - 7*b**2 + 2*b**5 - b**i + 7*b**2 wrt b.
20*b**3
Let h(r) = r. Let k be h(2). Suppose v = -v + k. Let z(d) = 2*d**2 - 2*d. Let i(u) = u. Let w(b) = v*z(b) + 4*i(b). What is the second derivative of w(m) wrt m?
4
Let d(x) = -18*x**3 + 76. Let m(c) = 6*c**3 - 25. Let f(t) = -5*d(t) - 16*m(t). Differentiate f(j) wrt j.
-18*j**2
Let g = -12 + 17. Let q(j) = -7*j + 9. Let h(d) = 0*d + 0 + 13 - 10*d. Let p(z) = g*h(z) - 7*q(z). Find the first derivative of p(m) wrt m.
-1
Let n(z) = 4*z**2 + 7*z + 5. Suppose 0 = h - 1 - 4. Let s(o) = 6*o**2 + 10*o + 8. Let g(d) = h*s(d) - 8*n(d). What is the second derivative of g(x) wrt x?
-4
What is the third derivative of -7*f**2 - f**2 + 9*f**2 - f**6 + 0*f**6 wrt f?
-120*f**3
Let z(u) be the first derivative of -1/6*u**6 + u**2 + 0*u**5 + 0*u**4 + 0*u**3 + 0*u + 1. What is the second derivative of z(c) wrt c?
-20*c**3
Find the third derivative of -12*g**3 + 0*g**2 + 0*g**2 + 13*g**2 wrt g.
-72
Let t(r) = -3*r**2 + 5*r + 4. Suppose -4 = -0*u - 2*u. Let i(o) = -u*o**2 + 2*o - 1 + o**2 + 3. Let b(p) = -5*i(p) + 2*t(p). Differentiate b(s) wrt s.
-2*s
Differentiate 7*p - 7 + 7*p**3 - 7*p - p**3 wrt p.
18*p**2
Let u(j) be the second derivative of j**8/1680 - j**4/24 - j**3/6 - 3*j. Let a(d) be the second derivative of u(d). Differentiate a(c) with respect to c.
4*c**3
Let s(b) be the second derivative of b**4/6 - 7*b**3/6 + 21*b**2/2 + 4*b. Let c(d) = -d**2 + 2*d - 7. Let j(v) = -7*c(v) - 2*s(v). Differentiate j(f) wrt f.
6*f
Let m(n) be the third derivative of 13*n**8/168 - 11*n**4/24 - 3*n**2 - 2*n. Find the second derivative of m(z) wrt z.
520*z**3
Let u(a) be the first derivative of a**8/112 + 5*a**4/24 + a**2/2 + 1. Let f(q) be the second derivative of u(q). What is the second derivative of f(r) wrt r?
60*r**3
Let l(m) be the first derivative of m**5/5 - 7*m**4/4 + 44*m - 53. What is the first derivative of l(q) wrt q?
4*q**3 - 21*q**2
Let s(y) = y**3 - y + 1. Let x be (-68)/(-18) + 8/36. Let k(m) = 3*m**3 - 4*m + 6. Let v = 21 + -22. Let d(q) = v*k(q) + x*s(q). Differentiate d(o) wrt o.
3*o**2
Let v be ((5/20)/((-3)/(-18)))/3. Let w(x) be the first derivative of -v*x**2 - 1 + 0*x - x**3. What is the second derivative of w(g) wrt g?
-6
What is the first derivative of -23*s + 8 + 52*s - 29*s + 16*s**2 wrt s?
32*s
Let q(l) = l**2 - 11*l - 10. Let g be q(12). Find the third derivative of -3*a**2 + a**5 + 2*a**5 - g*a**5 + 5*a**5 wrt a.
360*a**2
Let q = 83 + -83. Let v(y) be the second derivative of y + 0*y**3 - 1/10*y**5 - 1/6*y**4 + 0*y**2 + q. Find the third derivative of v(t) wrt t.
-12
Suppose -2*w = -4*w. What is the second derivative of 0*f + w*f + f**2 - 2*f - f wrt f?
2
Let v(s) be the second derivative of -13*s**5/10 - 5*s**3/2 + 24*s. What is the second derivative of v(x) wrt x?
-156*x
Let u be 2 - (-3)/(-6)*0. Suppose -u*g - 4 = -2*f, 5*g + 2*f = 6*f - 5. Find the third derivative of 2*i**2 - 2*i**g + 2*i - 2*i wrt i.
-12
Let d(f) be the second derivative of -17*f**4/4 + 16*f**2 - 2*f - 2. Find the first derivative of d(w) wrt w.
-102*w
Suppose 2*x = d, 0 = -0*x + 5*x - 4*d. Find the first derivative of 2 + 3*h**3 + 3 + x*h**3 wrt h.
9*h**2
Let o(m) = 3*m**3 + 2*m**2 - 5. Let k(g) = -5*g**3 - 5*g**2 + 9. Let h(s) = -2*k(s) - 5*o(s). What is the first derivative of h(c) wrt c?
-15*c**2
What is the second derivative of 28 + 8*c - 28 - 3*c + c**3 wrt c?
6*c
Let c be 0/((1 + 0)/1). What is the second derivative of 6*m**4 - m**4 - m + c*m + 7*m wrt m?
60*m**2
Let l(u) be the first derivative of 17*u**4/2 + 37*u - 4. Differentiate l(s) wrt s.
102*s**2
Suppose 4 = 2*k - 0*k + 3*v, -k + 3 = v. Suppose 5*c = -u - 0*u + 21, -k*c = -15. What is the second derivative of -6 - 2*i - 3*i**4 + u wrt i?
-36*i**2
Let y(m) = 2*m**2 - 2*m. Let v = -1 + 10. Let o = -16 + v. Let w(z) = z**2 - z. Let p(j) = o*w(j) + 4*y(j). Find the second derivative of p(t) wrt t.
2
Let v(g) be the second derivative of -9*g + 3/10*g**6 + 3*g**2 + 0*g**4 + 0 + 0*g**5 + 0*g**3. Differentiate v(p) with respect to p.
36*p**3
Let g(h) = -3*h - 3. Let b be ((-84)/7)/(0 - 1). Let w be 3*2/(-3)*b. Let c(u) = -15*u - 15. Let f(r) = w*g(r) + 5*c(r). Differentiate f(n) wrt n.
-3
What is the third derivative of -15*l**3 - 12*l**3 - 25*l**2 - 36*l**5 + 27*l**3 wrt l?
-2160*l**2
Let w(x) be the third derivative of x**8/42 + x**5/30 - 7*x**2. What is the third derivative of w(k) wrt k?
480*k**2
Let k(o) be the second derivative of 39*o**5/20 - o**4/6 + 29*o**3/6 - 11*o + 1. Find the third derivative of k(m) wrt m.
234
What is the second derivative of 12*g + 166*g**4 + 2 - 151*g**4 - 2 wrt g?
180*g**2
Let g(d) be the second derivative of -d**4/4 - d**2 + 5*d. Differentiate g(l) with respect to l.
-6*l
Let p(r) = 17*r**3 - 4*r**2 + 4*r + 17. Let z(u) = -16*u**3 + 3*u**2 - 3*u - 16. Let k(t) = -3*p(t) - 4*z(t). What is the derivative of k(c) wrt c?
39*c**2
Let r(c) be the third derivative of 0*c + 3*c**2 - 1/20*c**5 - 1/8*c**4 + 0*c**3 + 0. What is the second derivative of r(g) wrt g?
-6
Let f(c) be the second derivative of 0*c**6 + 0*c**7 + 0*c**5 - 1/28*c**8 - 2*c + 0 + 1/12*c**4 + 0*c**2 + 0*c**3. Find the third derivative of