4. Let g(x) = -4*k(x) + 10*u(x). Find the first derivative of g(l) wrt l.
-4*l
Let x(n) be the first derivative of 5*n**6/6 - n**4/2 - n**3/3 + 2*n + 57. What is the third derivative of x(p) wrt p?
300*p**2 - 12
Let h(b) = -b**2. Let y(q) = -4*q**2 + 4*q. Let s(g) = 44*h(g) - 4*y(g). What is the second derivative of s(u) wrt u?
-56
Let l(q) be the third derivative of q**5/5 + 11*q**4/24 - 4*q**2. What is the second derivative of l(m) wrt m?
24
What is the second derivative of 579*p**2 + 1 + 5*p - 1 - 555*p**2 wrt p?
48
Find the second derivative of -3*f - 4*f**5 + 15*f + 18*f**5 wrt f.
280*f**3
Suppose -j + 2*j - 8 = 2*a, -3*j - 9 = 5*a. What is the first derivative of j*d**4 + 2 + 2 - 5*d**4 - 2 wrt d?
-12*d**3
Let f(o) = -o**3 + o**2 + 3*o + 3. Let q be f(-2). Suppose q + 6 = 5*v. Find the second derivative of 13*n**v + n - 15*n**3 + 2*n wrt n.
-12*n
Find the third derivative of -3*b**2 + b**2 - 4*b**2 + 10*b**6 wrt b.
1200*b**3
Let r(t) be the second derivative of 8*t**5/5 + 2*t**3 + 16*t**2 + 3*t. Let a(d) = 13*d**3 + 5*d + 13. Let c(y) = -12*a(y) + 5*r(y). Differentiate c(b) wrt b.
12*b**2
Let w(u) be the third derivative of -11*u**8/336 - 19*u**5/60 + 11*u**2. What is the third derivative of w(z) wrt z?
-660*z**2
Let y(c) = -c**2 - 14*c - 10. Let s be y(-13). Find the second derivative of 3*b**3 - 2*b**3 + 0*b**s + 5*b wrt b.
6*b
Differentiate 32 - 6 - 13*o + 0*o with respect to o.
-13
Let y(j) = 21*j + 7. Let c(z) = -10*z - 3. Let l(r) = -10*c(r) - 4*y(r). Differentiate l(v) with respect to v.
16
Let o be 3 + -2 + 1/1. Find the third derivative of 6*q**3 - 11*q**3 - 2*q**2 + q**o wrt q.
-30
Let r(i) = -i**3 + 10*i**2 + 11*i + 6. Let s be r(11). Find the third derivative of -w**6 + 8*w**2 + 0*w**s + 0*w**2 + 3*w**6 wrt w.
240*w**3
Let b(k) = 5*k**3 + 15*k**2 - 5*k + 5. Let v(d) = -6*d**3 - 14*d**2 + 4*d - 4. Let a(c) = 4*b(c) + 5*v(c). What is the third derivative of a(h) wrt h?
-60
Let z be 2 + (-2)/(-2)*-1. Find the first derivative of i**2 - z + 2*i**2 + i**3 - 3*i**2 wrt i.
3*i**2
Let k(z) = -3*z**2 + 13*z - 3. Let p(w) = w**3 - w**2 - w - 1. Let h(m) = -k(m) + 3*p(m). Find the second derivative of h(f) wrt f.
18*f
Let o(f) be the first derivative of f**3 - 22*f + 27. Differentiate o(c) with respect to c.
6*c
What is the derivative of -23 - 32*y - 4*y + 1 - 16 wrt y?
-36
Let i(l) = 4*l**2 + 2*l + 1. Let n be i(-1). Let z = n + 1. What is the third derivative of -2*g**4 + 2*g**z + 3*g**6 + 3*g**2 wrt g?
360*g**3
Let d(w) be the first derivative of 6/7*w**7 + 0*w**2 + 0*w**4 + 0*w + 0*w**5 + 2/3*w**3 + 0*w**6 + 6. What is the third derivative of d(z) wrt z?
720*z**3
Let t(j) = 11*j**2 - 8*j. Let x(g) = 3*g + 6*g**2 - g - 6*g. Let v(y) = -4*t(y) + 7*x(y). What is the second derivative of v(i) wrt i?
-4
Let z(c) be the third derivative of -c**5/10 - 13*c**4/12 + c**2. Find the second derivative of z(n) wrt n.
-12
Let y(o) be the first derivative of o**10/5040 + o**6/180 + o**3/3 + 1. Let k(h) be the third derivative of y(h). Find the third derivative of k(g) wrt g.
120*g**3
Let f(m) be the second derivative of 17*m**6/30 - m**4/2 + 5*m**3/6 + 3*m - 3. What is the third derivative of f(d) wrt d?
408*d
Let o be (0 + 2)*35/10. Suppose o*k = 4*k + 6. What is the third derivative of -2*n**k - 4*n + n**5 + 4*n wrt n?
60*n**2
Find the second derivative of -25*r**4 + r + 7*r**4 + 11*r - 15*r**4 wrt r.
-396*r**2
Let g(r) be the first derivative of 41*r**5/5 - 40*r**3/3 + 21. What is the third derivative of g(o) wrt o?
984*o
Let m(y) be the first derivative of y**6/120 + y**4/24 - 7*y**2/2 + 6. Let l(o) be the second derivative of m(o). What is the second derivative of l(k) wrt k?
6*k
Let x(w) be the first derivative of -3*w**7/7 - w**3/3 - 4. Find the third derivative of x(l) wrt l.
-360*l**3
Find the second derivative of 11*i**3 - 3*i - 19*i**4 - 11*i**3 + 8*i**4 wrt i.
-132*i**2
What is the second derivative of 4*y**3 + 25*y + 7*y**5 - 20*y - 4*y**3 wrt y?
140*y**3
Let u(w) be the second derivative of 9*w**4/4 - 5*w**3 - 12*w. Find the second derivative of u(k) wrt k.
54
Let a(k) be the third derivative of 2*k**2 - 1/60*k**5 + 0*k**4 + 0 - 1/3*k**3 + 0*k. What is the first derivative of a(u) wrt u?
-2*u
Let l(y) be the first derivative of 9*y**5/5 + 7*y**2/2 + 22. What is the second derivative of l(z) wrt z?
108*z**2
Let v(x) = x**2 - 3*x. Let t be v(4). Suppose 0 = -2*a + 3*b + 13, t*b = -0*a + a - 14. What is the second derivative of -a*y**5 + 2*y - 2 + 2 wrt y?
-40*y**3
Let f(d) be the second derivative of d**8/14 - d**4/2 + 3*d. What is the third derivative of f(n) wrt n?
480*n**3
Let i(c) be the third derivative of -c**8/48 + 13*c**4/24 - 13*c**2. What is the second derivative of i(x) wrt x?
-140*x**3
Let k(a) be the first derivative of -3*a - 1 - a + 5*a + 0*a - 2*a**3. Find the first derivative of k(r) wrt r.
-12*r
Let w(v) be the third derivative of -11*v**7/210 - 5*v**5/12 + 14*v**2. Find the third derivative of w(y) wrt y.
-264*y
Let u(r) be the first derivative of r**3/3 + r**2 - 5*r - 1. Let v(s) be the first derivative of u(s). What is the first derivative of v(i) wrt i?
2
Let m(j) = 22*j**4 - 6*j**2 + 4*j + 4. Let k(q) = 21*q**4 - 5*q**2 + 3*q + 3. Let n(g) = -4*k(g) + 3*m(g). What is the third derivative of n(w) wrt w?
-432*w
Let a(t) = 2*t. Let m be a(1). Suppose m = -u, -u = w - 4*u - 6. Find the second derivative of 4*x**5 - 5*x + 2*x + w*x wrt x.
80*x**3
Let m(u) = 1. Suppose 23 = 4*l + 7. Let p(q) = q**3 - q - 4. Let i(o) = l*m(o) + p(o). Find the second derivative of i(n) wrt n.
6*n
Let x(k) = 6*k**6 - 3*k**5 - 5*k**2. Let p(u) = -u**6 + u**5 + u**2. Let d(q) = -3*p(q) - x(q). Find the third derivative of d(r) wrt r.
-360*r**3
Let p(t) = -3*t**3 + 6*t**2 + 6*t - 1. Let b(g) = 0*g + 1 - g - 1 - g**2. Let h(f) = -6*b(f) - p(f). Find the first derivative of h(i) wrt i.
9*i**2
Suppose 0 = -2*b - 8, -l + 3 + 3 = -b. Suppose 0 = z + 6*z. Find the second derivative of 0*v**5 - v + z*v - 3*v**5 - l*v**5 wrt v.
-100*v**3
Let x(o) = o**3 - 5*o**2 + 4*o + 4. Let q be x(4). Suppose -3*p + q = -p. What is the second derivative of r + 3*r**3 + r**3 - p*r**3 wrt r?
12*r
Let t be (-29)/(-9) - (-28)/(-126). Find the third derivative of 17*r**3 - 26*r**t - 4*r - 6*r**2 + 4*r wrt r.
-54
Find the second derivative of -6*t - 12 + 4*t - 10*t**4 - 14 - 27*t**4 wrt t.
-444*t**2
Find the second derivative of -13*d**2 + 44 + 54 - 98 - 14*d wrt d.
-26
Let y(h) = 8*h**3 + 6*h**2 - 4*h - 6. Let n(r) = 23*r**3 + 17*r**2 - 12*r - 17. Let s(w) = 6*n(w) - 17*y(w). Find the second derivative of s(b) wrt b.
12*b
Let w(d) be the third derivative of d**8/168 - d**7/7 - d**4/24 - d**3/2 - 48*d**2. Find the second derivative of w(g) wrt g.
40*g**3 - 360*g**2
Let w(n) be the third derivative of 0*n + 0*n**4 + 1/105*n**7 + 1/20*n**5 + 0*n**6 + 0*n**3 + 0 + n**2. Find the third derivative of w(m) wrt m.
48*m
Suppose 2*p - 6 = 5*p, -4*p - 18 = -5*f. Find the second derivative of -w - 4*w + 4*w + w**f wrt w.
2
Let a(z) be the third derivative of z**9/56 + 7*z**5/20 - 2*z**2. Find the third derivative of a(k) wrt k.
1080*k**3
Let k be ((-2)/4)/((-1)/8). Find the second derivative of 67 - 67 - k*s - 3*s**2 wrt s.
-6
Let k(c) = 1 - 3 + 3 - 2. Let i(z) = -z. Let w(r) = -2*i(r) + 2*k(r). What is the derivative of w(b) wrt b?
2
Let o(f) be the first derivative of -61*f**4/4 - f**3 + 3*f - 41. What is the third derivative of o(t) wrt t?
-366
Let o(k) be the third derivative of 1/60*k**5 + 0*k**3 + 0 + 5/24*k**4 + 0*k - 5*k**2. What is the second derivative of o(y) wrt y?
2
Let u(b) be the first derivative of 29*b**6/6 + 32*b**3/3 - 13. Find the third derivative of u(r) wrt r.
1740*r**2
Let x(j) be the second derivative of -j**4/12 - 4*j**2 - 8*j. Differentiate x(m) wrt m.
-2*m
Let l(h) = -h**3 + 6*h**2 - 5*h + 2. Let f be l(5). What is the third derivative of -76*t**2 + t**5 + 82*t**f - 2*t**5 wrt t?
-60*t**2
Let q(o) = 0 + 5*o - 2 - 3. Let r(z) = z + 1. Let v(h) = 8*h - 14. Let l(t) = -3*r(t) - v(t). Let k(y) = 6*l(y) + 13*q(y). Differentiate k(g) wrt g.
-1
Let v = -6 + 2. Let x = v - -7. What is the second derivative of r + 0*r - x*r - 2*r**2 wrt r?
-4
Suppose -10 = -3*s - 2*s. Suppose 7*x = s*x + 15. Find the first derivative of 3 - d - x*d**3 + d wrt d.
-9*d**2
Let