b(h) = 4*l(h) - 3*p(h). Find the second derivative of b(s) wrt s.
84*s
Let x be 4/14 - 38/(-14). What is the third derivative of 3*l - x*l + 2*l**2 - l**4 wrt l?
-24*l
Suppose 5*a + 1 = 3*n - 15, 4*n = 5*a + 18. Let y be 9 + (-4)/(-6)*-6. What is the third derivative of -g**n + 2*g**2 - g**5 - g**y wrt g?
-120*g**2
Suppose 0 = s - 5. Find the first derivative of 2*h**2 - s - 2 + 2 wrt h.
4*h
Suppose 2*m - 4*q = -16, -4*m = -q + 5*q - 16. Suppose m = -s + 2. Find the third derivative of -3*r**5 - r**5 + 2*r**5 - r**s wrt r.
-120*r**2
Let f(k) be the first derivative of -k**4 - 3 + 0*k**2 + 0*k - 4/3*k**3. What is the third derivative of f(w) wrt w?
-24
Let s(u) be the second derivative of u**7/210 + u**3/3 + u**2/2 + 2*u. Let v(p) be the first derivative of s(p). Find the first derivative of v(a) wrt a.
4*a**3
What is the second derivative of 2*c + c**4 - 3*c**5 - 41 + 76 - 40 wrt c?
-60*c**3 + 12*c**2
Let s(c) = -c - 7. Let g be s(-13). What is the first derivative of -9*n**4 + 13*n**4 - 4 + g wrt n?
16*n**3
Find the second derivative of 8*m + 15*m + 37*m**4 - 13*m**4 + 4*m wrt m.
288*m**2
Let a(d) = -7*d**3 - 5*d**2 - 18*d - 5. Let k(p) = -7*p**3 - 6*p**2 - 19*p - 6. Let y(s) = 6*a(s) - 5*k(s). Find the second derivative of y(l) wrt l.
-42*l
Let x = 5 - -11. Let r be (x/(-10))/((-8)/20). What is the derivative of 4 - r + 2 + 2*u wrt u?
2
Let k(i) = -11*i**3 + 3*i**2 - 3. Let b(d) = -33*d**3 + 10*d**2 - 8. Let s(w) = 3*b(w) - 8*k(w). Find the third derivative of s(q) wrt q.
-66
Let g(u) be the second derivative of 1/10*u**5 - 1/2*u**3 - 2*u + 0*u**4 + 0*u**2 + 0. What is the second derivative of g(v) wrt v?
12*v
Let r be 4 + -5 + 10/1. Let u be r + (3 + -2 - 4). What is the third derivative of 4*n**2 + 0*n**2 - 6*n**2 - 4*n**u wrt n?
-480*n**3
Find the third derivative of 4*l**2 + 3*l**4 - 2*l**4 + 8*l**4 wrt l.
216*l
Let b(p) be the first derivative of 0*p**6 + 2 + 3/7*p**7 + 0*p + 2/3*p**3 + 0*p**4 + 0*p**5 + 0*p**2. What is the third derivative of b(n) wrt n?
360*n**3
Suppose -3*z + 6*z = 6. Differentiate 14*g**z - 2 + 3 - 9*g**2 with respect to g.
10*g
Let h = -3 + 6. Find the second derivative of -h*a**4 - 2*a**4 + 4*a**4 + 2*a wrt a.
-12*a**2
What is the third derivative of 13 + 13*n**2 + 12*n**2 - 38*n**2 + 15*n**2 + 64*n**3 wrt n?
384
What is the third derivative of 0*i**2 - 6*i**3 + 3*i**3 + 9*i**2 wrt i?
-18
Differentiate -5*v**2 + 9 - 4*v**2 - 3 with respect to v.
-18*v
Let f = -63 - -65. Let u(t) be the first derivative of -1/3*t**6 + 0*t**4 + 0*t + 0*t**2 - f + 0*t**5 - 1/3*t**3. Find the third derivative of u(q) wrt q.
-120*q**2
Let m(c) be the first derivative of -3*c**4/4 + 9*c**2/2 + 5. What is the second derivative of m(n) wrt n?
-18*n
Let f = -9 - -12. Find the first derivative of -f + 3*y + 4*y - 6*y wrt y.
1
Let d be 3/((-24)/9 - -3). What is the third derivative of -22*b**3 + 44*b**3 + d*b**2 - 20*b**3 wrt b?
12
Let n(m) be the first derivative of -3*m**5/20 - m**3/2 - 3*m + 1. Let q(j) be the first derivative of n(j). Find the second derivative of q(b) wrt b.
-18*b
Let b(v) be the first derivative of -v**6/30 + v**4/12 + v**2 - 6. Let s(u) be the second derivative of b(u). What is the second derivative of s(t) wrt t?
-24*t
Let u(c) be the first derivative of -15*c**7/7 - 5*c**3/3 - 6. What is the third derivative of u(q) wrt q?
-1800*q**3
Find the first derivative of -6*b**2 + 20*b**2 + 5*b**3 - 11 - 8*b**2 wrt b.
15*b**2 + 12*b
Let v(t) = 3*t**4 - 2*t**3 - 2*t + 6. Let p(c) = -5*c**4 + 5*c**3 + 5*c - 12. Let j(g) = -2*p(g) - 5*v(g). Differentiate j(s) wrt s.
-20*s**3
Let w(h) = h**2 - 7. Let r be w(0). Let d = r - -12. What is the second derivative of -3*t**5 + d*t**5 + 6*t - 7*t wrt t?
40*t**3
Let w(z) be the second derivative of 0*z**4 + 0*z**3 - 3*z + 2*z**2 + 0 + 1/20*z**5. Differentiate w(t) with respect to t.
3*t**2
What is the derivative of -5*t**4 - 3*t - 40 + 1420*t**2 - 1420*t**2 wrt t?
-20*t**3 - 3
Let v be -2 + (-1)/(1/(-4)). Find the second derivative of 2*g**5 + 2*g**5 + v*g**5 - 3*g**5 - g wrt g.
60*g**3
Let t be -2*(5/(-2) + 2). What is the first derivative of -1 + 2 + 2*g**2 + 4*g**2 + t wrt g?
12*g
Let z(i) be the first derivative of i**5/10 + i**4/12 - i - 1. Let h(g) be the first derivative of z(g). What is the third derivative of h(m) wrt m?
12
Suppose 0 = -0*g + g - 4. Find the second derivative of 3*t**2 + 0*t + 4*t - g*t**2 - 3*t wrt t.
-2
Let y(q) be the second derivative of 2*q**4/3 - 3*q**2/2 + 3*q. Let g(o) = -o**2. Let k(f) = 3*g(f) + y(f). What is the first derivative of k(t) wrt t?
10*t
Let v(l) = -9 + 3*l**3 + 0*l**3 + 4*l**3 + 10*l**4 - l**4. Let h(q) = -3*q**4 - 2*q**3 + 3. Let k(w) = 7*h(w) + 2*v(w). Find the first derivative of k(y) wrt y.
-12*y**3
Find the third derivative of 10*a**2 - 5*a**3 - 2*a**3 + 22*a - 22*a wrt a.
-42
Let o be 6/(-4) + 35/10. Differentiate -4 - 4*s**o - s**2 + 3*s**2 with respect to s.
-4*s
Let y(n) be the first derivative of 13*n**5/5 - 12*n**2 - 11. Find the second derivative of y(d) wrt d.
156*d**2
Let k(m) = -16*m**3 + 2*m + 1. Let s be k(-1). Suppose r = -4*r + s. What is the third derivative of -x**3 + r*x**2 - x**2 - x**2 wrt x?
-6
Let o = -1 - -1. Let l(r) be the first derivative of 3/5*r**5 + 0*r**4 + o*r + 0*r**3 + 1/2*r**2 - 2. What is the second derivative of l(x) wrt x?
36*x**2
Let y(x) be the third derivative of 1/60*x**5 + 0*x**4 + 0 - x**2 + 0*x - 1/3*x**3. What is the derivative of y(h) wrt h?
2*h
Suppose 3*x = -5*o + 2*o + 15, 3*x - 2*o = 5. Find the third derivative of -f**3 + f**2 + 3*f**2 + x*f**3 - f**2 wrt f.
12
Let l(r) be the third derivative of r**9/126 - 7*r**5/30 + 7*r**2. Find the third derivative of l(i) wrt i.
480*i**3
What is the derivative of 39 - o + 14*o**2 + 12*o**2 + 14*o**2 - 37*o**2 wrt o?
6*o - 1
Let l(v) be the second derivative of -14*v**6/15 - 10*v**4/3 + 26*v. What is the third derivative of l(z) wrt z?
-672*z
Let l(z) = -17*z**2 - 4*z - 4. Let j(c) = -52*c**2 - 12*c - 11. Let g(r) = -4*j(r) + 11*l(r). What is the second derivative of g(b) wrt b?
42
Suppose -s + 4*s = 6. Find the first derivative of -n + 1 + n + 2*n**s wrt n.
4*n
Let n(y) be the second derivative of -y**7/14 - 15*y**4/4 - 35*y. Find the third derivative of n(d) wrt d.
-180*d**2
Suppose g = 4*q - q - 13, 0 = -4*q + 20. Let a(c) be the first derivative of -c + 2 + 0*c**g + 1/3*c**3. Differentiate a(y) wrt y.
2*y
Find the first derivative of 6*p**4 + 1431*p**3 - 23 - 1431*p**3 wrt p.
24*p**3
Suppose 5*d - 5*z = -35, 0 = -2*d - 2*z - 0 - 2. Let g = 0 - d. Find the third derivative of -u**g + 2*u**2 - 4*u**4 + 3*u**4 wrt u.
-48*u
Let h = 3 + -1. What is the first derivative of 2*g + h*g - 8*g + 2 + g wrt g?
-3
Let v(u) be the third derivative of 7*u**4/24 + 35*u**3/6 + 31*u**2. Find the first derivative of v(l) wrt l.
7
Let x(o) be the first derivative of -o**4 - o**3/3 + 7. What is the third derivative of x(p) wrt p?
-24
Find the third derivative of 122*r**2 + 23*r**4 + 2*r**4 - 95*r**2 + 0*r**4 wrt r.
600*r
Suppose v = -0*v - 1. Let w be v + (0 - -3)*1. What is the second derivative of 1 + 2*y + y**w - 1 + y**2 wrt y?
4
Suppose -3*h - 11 = -2*w - 27, -5*h - 4*w = -56. What is the second derivative of 12*y + 0*y**4 + 0*y**4 - h*y**5 - 3*y wrt y?
-160*y**3
Suppose 2*d = -3*d - 2*i + 6, 2*d = -4*i - 4. Find the second derivative of z**d + 3*z**4 + 3*z**2 - 4*z**2 - 4*z wrt z.
36*z**2
Suppose -3*m + 16 = -m. Find the first derivative of -m*c + 4*c - 4 + c wrt c.
-3
Let u(j) be the second derivative of 0*j**2 + 1/12*j**4 + 0*j**3 + 0*j**6 + 1/7*j**7 + 2*j + 0*j**5 + 0. What is the third derivative of u(r) wrt r?
360*r**2
Let b(s) = 2*s**2 - 2*s - 1. Let g be b(2). Suppose -2 = -5*f + g. What is the derivative of 2 + f + 0*a + a wrt a?
1
Let c(w) = 3*w**5 - 7*w**3 - 32*w**2 - 7*w. Let y(p) = 4*p**5 - 6*p**3 - 31*p**2 - 6*p. Let a(b) = 6*c(b) - 7*y(b). What is the third derivative of a(d) wrt d?
-600*d**2
Suppose 0 = 2*g + j - 9, 3*j = g + 7 + 6. Find the third derivative of 3*q**5 + 0*q**4 - g*q**2 + 0*q**4 - q**2 wrt q.
180*q**2
Let c = 7 - 4. What is the derivative of -2 + 2*v**2 + 0 - c*v**2 wrt v?
-2*v
Let u = 5 + -14. Let y = 17 + u. What is the third derivative of f**2 + 8*f**3 - y*f**3 - 2*f**4 wrt f?
-48*f
Let b(r) = -r - 4. Let m be b(-6). Find