z
What is the third derivative of -7 + 4 + 3 - 30*f**3 - 25*f**2 wrt f?
-180
Let z(f) = f - 5. Let u be z(6). Suppose 2*v - u = -5*s, 8 = -2*v + 5*v + s. Find the third derivative of 3*d**2 + d**v - d**3 - 2*d**6 + 4*d**6 wrt d.
240*d**3
Let t(h) be the first derivative of -h**4 + 0*h - 1 + h + 3. What is the derivative of t(f) wrt f?
-12*f**2
Let o(l) = -7*l**3 - 5*l**2 + 5*l - 4. Let x(i) = -i**3 - i**2 + i + 1. Let z(n) = o(n) - 5*x(n). What is the derivative of z(f) wrt f?
-6*f**2
Let l(c) = 2*c**2. Let o be l(2). Let i be 18/o + 4/(-16). Find the second derivative of -m**5 - 3*m**5 - 19*m + 17*m + i*m**5 wrt m.
-40*m**3
Let g(h) be the first derivative of -2 + 2/3*h**3 + 0*h**6 + 0*h**2 + 0*h**4 + 0*h**5 + 0*h - 4/7*h**7. What is the third derivative of g(m) wrt m?
-480*m**3
Let z(a) = -a**4 - a. Let v(j) = -3*j - 3*j - 16*j**4 + 5*j**4. Let f(y) = -v(y) + 5*z(y). What is the second derivative of f(l) wrt l?
72*l**2
Let d = -7 - -12. Suppose 2*y = d - 1. What is the third derivative of -w**y - 3*w**2 + 2*w**2 - w**5 wrt w?
-60*w**2
Let o(b) be the third derivative of 13*b**6/120 + b**4/24 + 20*b**3/3 - 15*b**2. What is the first derivative of o(l) wrt l?
39*l**2 + 1
Suppose 3 = -g - 4*m + 6, 2*m = 0. Find the first derivative of -2 + g*n + 0*n + n + 1 wrt n.
4
What is the second derivative of -4*j**5 - 5*j + 5*j**5 + 4*j**5 + 2*j**5 wrt j?
140*j**3
Let n(t) be the third derivative of -t**6/15 + 2*t**5/15 + 5*t**2. Find the third derivative of n(a) wrt a.
-48
Suppose 5*p - 2*u - 11 - 6 = 0, 3*u + 15 = 4*p. Find the third derivative of i**2 - 7*i**3 + 15*i**p - 9*i**3 wrt i.
-6
Let f(q) = -19*q**3 + 37*q**2 - 11. Let w(i) = -10*i**3 + 18*i**2 - 6. Let o(k) = 6*f(k) - 11*w(k). What is the third derivative of o(g) wrt g?
-24
Let r(f) be the first derivative of 3*f**2/2 - 3*f + 2. Let g(a) = 4*a - 4. Let z(n) = -4*g(n) + 5*r(n). What is the derivative of z(m) wrt m?
-1
Let y(h) be the second derivative of 0*h**5 + 0*h**7 + 1/3*h**4 + 0*h**6 + 0*h**2 - 3*h + 0*h**3 + 3/56*h**8 + 0. Find the third derivative of y(t) wrt t.
360*t**3
Let o = 0 + 4. Find the second derivative of o*f**2 - f**2 - 2*f**2 - f + 0*f wrt f.
2
Let a be (12/10)/(8/20). Differentiate 4*w - a*w - w + 1 - 3*w**2 wrt w.
-6*w
Suppose -2 - 18 = -4*a. Find the second derivative of -4*v - v - 2*v + 4*v - a*v**2 wrt v.
-10
Let w(q) be the second derivative of 7*q**5/4 + 14*q**3/3 + 27*q. Find the second derivative of w(u) wrt u.
210*u
Differentiate 23*a + 18*a + 23 + 2*a - 23*a with respect to a.
20
What is the derivative of -9*y**2 + 18*y - 5 - 18*y wrt y?
-18*y
Let k(t) = -t**3 + 5*t**2 - 3*t - 2. Let d be -1 + 7 + 1*-2. Let g be k(d). What is the first derivative of -2*b**2 - 2 - 3*b**g - 2*b**2 + 4*b**2 wrt b?
-6*b
Suppose -5*h + o + 5 = 10, -h + 4*o = -18. Let y(q) = q**3 - 3. Let w(j) = j**3 + j**2 - 2. Let i(f) = h*y(f) + 3*w(f). Find the third derivative of i(z) wrt z.
6
Differentiate -80*o**3 - 7 - 12 - 83*o**3 + 172*o**3 with respect to o.
27*o**2
Let x(t) = 2*t**2 + 4*t. Let q be x(-3). Suppose -b + q = 2*b. What is the third derivative of 3*z**b - z**6 + 2*z**2 - 7*z**2 wrt z?
-120*z**3
Let u(d) be the first derivative of -d**6/2 + 13*d**3/3 + 33. What is the third derivative of u(l) wrt l?
-180*l**2
Let x(d) = 2*d**2 - 6*d - 2*d - 5*d**2 + d**2 - 2. Let n(p) = 2 + 4*p**2 - 3*p**2 - 1 + 5*p. Let b(s) = -8*n(s) - 5*x(s). Differentiate b(k) wrt k.
4*k
Let w(s) = -s**3 - s + 1. Let v(b) = 7*b**3 + 4*b - 7. Let y = 9 - 8. Let o = 4 + 0. Let a(i) = o*w(i) + y*v(i). Find the first derivative of a(f) wrt f.
9*f**2
Let f(v) = -v**3 + v. Let w(c) = 17*c**3 + 8*c. Let l(u) = -5*f(u) - w(u). What is the second derivative of l(q) wrt q?
-72*q
Let z(d) = -d**4 + d**2. Let y(t) = 4*t**4 - 2*t**2 + 37*t. Let b(a) = -y(a) - 2*z(a). What is the second derivative of b(q) wrt q?
-24*q**2
Let o(z) = -7*z**2 + 14*z - 5. Let r(g) = -3*g**2 + 7*g - 3. Let v(t) = 3*o(t) - 5*r(t). Find the second derivative of v(w) wrt w.
-12
Let s(j) be the third derivative of -j**9/504 - j**5/15 - 9*j**2. Find the third derivative of s(u) wrt u.
-120*u**3
Let p(t) be the first derivative of 2*t**5 - 12*t - 23. Differentiate p(l) with respect to l.
40*l**3
Suppose 0 = -5*v - 2*w - 25, 4*w = -4*v - 16 - 4. Let c be v/2*2/(-5). Find the first derivative of 3 + 2*t - 3 - c wrt t.
2
Let w(m) be the third derivative of m**6/6 - m**4/4 - 3*m**2. Find the second derivative of w(v) wrt v.
120*v
Let z(r) = 51*r + 38. Let n(p) = -50*p - 38. Let k(v) = -4*n(v) - 5*z(v). What is the derivative of k(i) wrt i?
-55
Let c(d) = -21*d**2 + 9*d - 4. Let m(l) = -l**2 - 1. Let p(n) = -c(n) + 4*m(n). What is the second derivative of p(q) wrt q?
34
Let p(b) = -b**2 + 5*b - 1. Let m be p(2). Suppose -22 = w + m*i, -20 = -3*w + 4*i + 9. Find the first derivative of -g**3 - w - 3*g**3 + 0 + 5*g**3 wrt g.
3*g**2
Let n(b) be the first derivative of -1/5*b**5 + 0*b**2 + 0*b**4 + 0*b + 4/3*b**3 - 4. What is the third derivative of n(z) wrt z?
-24*z
Let r(l) be the second derivative of 4*l**6/15 + 7*l**3/6 + l. Find the second derivative of r(v) wrt v.
96*v**2
Let c(q) be the first derivative of q**6/40 + q**5/20 + q**2/2 + 2. Let d(f) be the second derivative of c(f). What is the third derivative of d(l) wrt l?
18
What is the second derivative of 2 - 2*t**5 + 19*t**5 + 30*t**5 - 1 - 35*t wrt t?
940*t**3
Let q(c) be the second derivative of -c**7/210 + c**5/15 + 3*c**2 - c. Let i(k) be the first derivative of q(k). What is the third derivative of i(b) wrt b?
-24*b
Let u(v) be the first derivative of 11*v**6/6 - 5*v**3/3 - 20. Find the third derivative of u(g) wrt g.
660*g**2
Suppose -53 + 5 = -4*l. Suppose -l = -5*m + 3. What is the first derivative of 0 + 0*g + m + 4*g - 2*g wrt g?
2
Let i(u) be the first derivative of -u**4/4 + u**3/3 - 2*u**2 - 6. Let h(c) be the second derivative of i(c). What is the derivative of h(p) wrt p?
-6
Let v = 9 + -7. What is the second derivative of 2*g**2 - 2*g**2 - 3*g - g**v wrt g?
-2
Suppose 4*a = 3*f + 5, -1 = 4*a - 4*f + 3*f. Let s = 5 + a. Differentiate 3*h**3 - s*h**3 - 5*h**3 + 3*h**3 - 3 with respect to h.
-9*h**2
Let w be ((-1)/2)/((-2)/(-4)). Let c be 2 + (-1 - (w + -1)). What is the second derivative of 0*a + a - a**c + 0*a wrt a?
-6*a
Let k(j) be the first derivative of -17*j**6/3 - j**4/4 - j**3/3 - 5*j + 42. Find the third derivative of k(g) wrt g.
-2040*g**2 - 6
Let p(g) be the second derivative of 0*g**3 - 3/20*g**5 + 0 - g + 3/2*g**2 + 0*g**4. What is the derivative of p(t) wrt t?
-9*t**2
Let s be 13/21 + 4/(-14). Let w(c) be the second derivative of 0*c**2 + 0 + 1/15*c**6 + 0*c**4 + 0*c**5 + s*c**3 + c. Find the second derivative of w(d) wrt d.
24*d**2
What is the third derivative of -16*i**5 - 383 + 383 + 10*i**2 wrt i?
-960*i**2
Suppose -1 = 3*n - 3*t - 7, -3*t - 7 = -4*n. Let o = n - -2. What is the derivative of -3 - 5*r**2 + 2*r**2 + 3*r - o*r wrt r?
-6*r
Let m(v) = 194*v**2 + 11*v - 184. Let f(j) = -39*j**2 - 2*j + 37. Let o(h) = -11*f(h) - 2*m(h). Differentiate o(i) wrt i.
82*i
Let g be -1*(2 + -4)*1. What is the derivative of 2*j**2 + 12*j**4 - 9*j**4 + 2 - g*j**2 wrt j?
12*j**3
Suppose -v + 4*v = -2*k + 6, -3*v - k + 3 = 0. Differentiate -l**4 + 3*l**4 + v*l**4 - 1 wrt l.
8*l**3
Suppose -3*g - 3*g = -6. Let n(j) = 2*j. Let d(t) = 1. Suppose -17 = -5*f + 3. Let b(s) = f*d(s) + g*n(s). What is the first derivative of b(p) wrt p?
2
Let y(l) be the second derivative of -l**8/840 - l**4/3 - 4*l**3/3 - 9*l. Let o(s) be the second derivative of y(s). Differentiate o(k) with respect to k.
-8*k**3
Let k(x) = -x**3 + 4*x**2 - x - 4. Let m be -1 + 2 - (-10)/5. Let y be k(m). What is the second derivative of -4*l + 3*l**y - l + 7*l wrt l?
6
What is the third derivative of 7*d**2 + 506*d**3 + 14*d**2 - 454*d**3 wrt d?
312
Let q(s) be the third derivative of -s**7/105 - s**4/6 - 3*s**2. What is the second derivative of q(x) wrt x?
-24*x**2
Let q(x) be the third derivative of -16*x**7/105 - 11*x**3/6 - 17*x**2. What is the first derivative of q(h) wrt h?
-128*h**3
Let p be 6/10 + (-447)/(-5). Suppose 0 = -5*i - p + 285. What is the third derivative of -i*v - 3*v**3 + 39*v + 4*v**2 wrt v?
-18
Let a(t) = 12*t**3 - 6*t**2 + 5*t + 6. Let c(o) = -36*o**3 + 17*o**2 - 14*o - 17. Let k(h) = -17*a(h