 9. Let l(r) = 6*f(r) - 17*t(r). Find the first derivative of l(c) wrt c.
-15*c**2
Suppose f + 4*f - 50 = 0. Suppose 0 = 2*u + 8, 3*q = 5*u - f + 60. What is the derivative of x**3 - 4 + q*x - 10*x wrt x?
3*x**2
Let v(b) be the third derivative of 17*b**9/504 - 2*b**5/15 - 17*b**2. Find the third derivative of v(f) wrt f.
2040*f**3
Let s = 86 + -84. Let w(k) be the first derivative of 0*k**2 + 1/3*k**3 + 3*k + s. Differentiate w(b) with respect to b.
2*b
Let z(a) = -7*a**5 - 3*a**4 - a**2 + 3. Let g(o) = o**5 - o**4 + o**2 + 1. Let l(j) = -3*g(j) + z(j). What is the third derivative of l(p) wrt p?
-600*p**2
Let g be (1 + 1)/((-10)/(-10)). Let y(d) = d**2 - 2*d + 1. Let t be y(3). Find the second derivative of -4*z**5 + g*z**5 - t*z + z wrt z.
-40*z**3
What is the derivative of y**2 - 68*y**4 + 31*y**4 - y**2 + 20 wrt y?
-148*y**3
Let u be (0 - 0)/(1 - 0). Suppose 6*i - 4*i - 6 = u. What is the third derivative of -4*l**5 + 5*l**2 + 2*l**5 - i*l**2 wrt l?
-120*l**2
Let x(p) = p + 7 - 3*p + p. Let k be x(5). What is the third derivative of -6*b**2 + b**6 + 2*b**2 + k*b**2 wrt b?
120*b**3
Let d(v) = 7*v**4 + 4*v**3 + 3*v. Let g(j) = -14*j**4 - 7*j**3 - 5*j. Let l(w) = 7*d(w) + 4*g(w). Find the second derivative of l(z) wrt z.
-84*z**2
Let t(v) = -v**2 + 6*v + 1. Let p(g) = -g**2 - 1. Let q(o) = -p(o) - t(o). Find the second derivative of q(m) wrt m.
4
Let f(s) be the third derivative of -11*s**6/120 + 19*s**4/24 - 8*s**2. What is the second derivative of f(m) wrt m?
-66*m
Find the second derivative of -3*i**3 + 4*i + 5*i**3 + 5*i - 3*i**3 wrt i.
-6*i
Let f(r) = -r**3 - 3*r**2 - 4*r - 2. Let s be f(-2). Differentiate 0*a**2 - a**2 - 3*a**2 + a**2 + s with respect to a.
-6*a
Let r(f) = -1. Let u(z) = -6*z**3 + 8*z**2 + 3. Let c(t) = -3*r(t) - u(t). Find the third derivative of c(h) wrt h.
36
What is the first derivative of 0 + 4 + 17 - 5 + 18*v wrt v?
18
Let c(z) = -z**3 - 5*z - 19. Let n(r) = -r**3 - 2*r - 9. Let k(a) = -2*c(a) + 5*n(a). Find the first derivative of k(s) wrt s.
-9*s**2
Let w(h) be the third derivative of 5*h**8/168 + 13*h**4/24 + 9*h**2. Find the second derivative of w(g) wrt g.
200*g**3
Let y(x) be the third derivative of 0*x**3 + 0*x**6 - 1/12*x**4 + 0*x**7 + 0*x + 0*x**5 - 1/168*x**8 + 0 + 4*x**2. What is the second derivative of y(w) wrt w?
-40*w**3
Let q(v) = -v**2 - 8*v - 4. Let t be q(-6). Differentiate -t - 2*c**3 - 1 + 7 with respect to c.
-6*c**2
Let v(p) be the third derivative of -p**6/120 - p**5/30 + 5*p**4/4 - 10*p**2 + 2*p. Find the third derivative of v(n) wrt n.
-6
Let u(z) be the third derivative of -29*z**7/210 + 7*z**4/12 + 3*z**2. What is the second derivative of u(r) wrt r?
-348*r**2
Let b(p) = -16*p**2 - 21. Suppose -2*s = 2*n - 0*n - 12, -s = 5*n - 6. Let k(o) = 3*o**2 + 1 + s - 3. Let h(v) = 2*b(v) + 11*k(v). Differentiate h(m) wrt m.
2*m
Let r = 3 - 1. Suppose r*b - 1 = 3. Differentiate 3*s**b - 2*s**2 + 0*s**2 - 1 with respect to s.
2*s
What is the first derivative of -4 + 0 + 4 - 2 - 3*v wrt v?
-3
Let m(q) = -9*q**4 - 4*q**3 - 4*q**2 + 1. Let d(c) = 18*c**4 + 9*c**3 + 9*c**2 - 3. Let k(t) = 4*d(t) + 9*m(t). What is the first derivative of k(j) wrt j?
-36*j**3
Let t(b) = -b**4 - b**3 - b + 1. Let i(v) = -13*v**5 + v**4 + v**3 - 8*v**2 + v - 1. Let x(n) = i(n) + t(n). What is the third derivative of x(h) wrt h?
-780*h**2
Suppose 2*a - 4*w = -0*w + 8, 4*a - 4*w - 8 = 0. Suppose -l + 4*l = a. Find the first derivative of l + j**2 + 0 - 2 wrt j.
2*j
Suppose k = -4*c - 0*k + 34, -2*k = 4*c - 36. What is the third derivative of -2*t**3 + c*t**2 - t**3 - 6*t**2 wrt t?
-18
Let d(s) be the second derivative of 0 - 5/6*s**3 - 2*s + 3/20*s**5 + 0*s**4 + 0*s**2. What is the second derivative of d(x) wrt x?
18*x
Let l(m) be the first derivative of 4/3*m**3 + 1 + 0*m**2 + 0*m + 0*m**4 + 6/5*m**5. What is the third derivative of l(y) wrt y?
144*y
Let f(k) = k**3 + 5*k**2 + 3*k - 1. Let m be f(-4). What is the first derivative of b**3 - 5 + m*b**3 + 4 + 0*b**3 wrt b?
12*b**2
Let k be 6/(-14) - (-24)/56. Find the first derivative of 1 - t - 5*t + k*t - 6 wrt t.
-6
Let u = -3 - -5. Find the second derivative of -7*g**5 + 5*g + 7 - 5 - u wrt g.
-140*g**3
Let k(j) be the second derivative of -j**7/35 + j**5/12 - j**2/2 + 4*j. Let y(v) be the first derivative of k(v). Find the third derivative of y(n) wrt n.
-144*n
Suppose z + 3*c = -0*c + 9, 3*z = 2*c + 5. What is the third derivative of 45*k**2 + 2*k**3 - 37*k**2 + 5*k**z wrt k?
42
Let a(o) be the third derivative of -o**11/55440 - o**7/504 + o**4/6 - o**2. Let j(c) be the second derivative of a(c). Find the third derivative of j(k) wrt k.
-120*k**3
Let p be 1*(2 - 2) + -4. Let k(n) = -3*n**2 - 11*n - 9. Let v(y) = y**2 + 5*y + 4. Let z(m) = p*k(m) - 9*v(m). Find the second derivative of z(b) wrt b.
6
Let z = 6 + -2. Find the first derivative of -13*q**z + 1 + 15*q**4 - 6 wrt q.
8*q**3
Let h(n) = -n + 12. Let j be h(10). What is the derivative of 3*c**3 - 2*c**3 + j - 2*c**3 wrt c?
-3*c**2
Suppose -4*l - 11 = -t, -4*l + 5 = -3*t + 22. Let g = 88 + -84. Find the second derivative of -t*k + 3*k**4 + 0*k**g - 4*k**4 - k**4 wrt k.
-24*k**2
Find the third derivative of -7*u**2 + 11*u**3 - 7*u**3 + 3*u**2 wrt u.
24
Let u(q) = -5*q**2 - q. Let b = -7 + 18. Let s = -5 + 7. Let h(l) = 26*l**2 + 4*l. Let m(n) = b*u(n) + s*h(n). What is the second derivative of m(y) wrt y?
-6
Let p be 9 - 1 - (4 - 6). Suppose 2*z - 4*u = -z - p, u = 3*z - 2. What is the third derivative of -4*q**2 + 5*q**2 - 4*q**z + 2*q**4 + q**2 wrt q?
48*q
Let r(o) be the first derivative of -o**3/6 - o**2/2 - 3*o + 1. Let l(v) be the first derivative of r(v). What is the first derivative of l(n) wrt n?
-1
Find the second derivative of -7*z**4 - 8*z**4 - 8*z + 12*z**4 wrt z.
-36*z**2
What is the third derivative of 4 - 4 - 66*t**5 + 20*t**2 + 36*t**5 wrt t?
-1800*t**2
Find the second derivative of 10*w**3 - 7*w**3 + 31*w - 11*w**3 wrt w.
-48*w
Let p(k) = 10*k**3 - 2*k - 1. Let y be p(-1). Let n be -1 + 9 - (-6 - y). What is the first derivative of n*h**2 + 0*h**2 + 1 - 4*h**2 wrt h?
2*h
Let g(s) = -s**3 + 5*s**2 + 7*s - 1. Let t be g(6). Find the third derivative of -r**6 - 4*r**2 + 0*r**6 - t*r**6 wrt r.
-720*r**3
Let p(q) = 7*q**2 + q. Suppose 0 = -r - 3*y - 16, 4*r - 4 = y - 3. Let g be p(r). Find the second derivative of g*x - x**2 - 2*x - x wrt x.
-2
Suppose 0 = -3*m + 2*m - 2*z - 7, 3*m - z = -14. Let c = -2 - m. Find the third derivative of 3*o**c + 3*o - o**2 - 3*o wrt o.
18
Suppose -5*z = -4*k - 7, 5*z - 24 = -k - 7. Let u = 30 + -28. What is the third derivative of -h**z - 3*h**3 + u*h**2 + 6*h**3 wrt h?
12
Let v(i) be the first derivative of 0*i**3 + 2*i**2 + 0*i**5 + 0*i + 5/6*i**6 - 1 + 0*i**4. Find the second derivative of v(o) wrt o.
100*o**3
Let c(d) = 21*d**2 + 2*d + 8. Let g(o) = 64*o**2 + 7*o + 25. Let y(z) = 7*c(z) - 2*g(z). What is the first derivative of y(r) wrt r?
38*r
Let n(g) = 8*g**3 + 3*g**2 - 3*g - 3. Let v(r) = 23*r**3 + 8*r**2 - 10*r - 8. Let b(l) = -8*n(l) + 3*v(l). Find the second derivative of b(h) wrt h.
30*h
Suppose -5*n + a - 6 = 7, 0 = 5*n + 5*a + 25. Let o = n + 3. What is the third derivative of -l**2 + 2*l**2 + l**5 + o*l**2 wrt l?
60*l**2
Let b(v) = v - 7. Let j be b(7). Suppose 5*d - 19 + 4 = j. What is the first derivative of -2*x**3 - 12 + 8 + 5*x**d wrt x?
9*x**2
Let j(x) = 2*x**3 - x + 2 - x - 3*x**3. Let u(g) = 1. Let o(l) = -j(l) + 2*u(l). What is the second derivative of o(h) wrt h?
6*h
Let g(o) be the second derivative of -o**3 + o**2/2 + 4*o. Let h(p) = -p - 1. Let w(b) = g(b) - 3*h(b). What is the derivative of w(z) wrt z?
-3
Let p = 3 + -3. Let f be 0 - (4/(-2) + p). Find the second derivative of 0*g**2 - f*g - 2*g**2 + g**2 wrt g.
-2
Let g(a) be the third derivative of -a**6/20 + a**5/3 - 9*a**2. What is the third derivative of g(b) wrt b?
-36
Let u be (5*(0 + -2))/(-2). What is the third derivative of u*h**3 + 0*h**2 - 3*h**2 - 6*h**3 + 6*h**3 wrt h?
30
What is the second derivative of 2*z + 3*z + 7*z + 21*z**2 + 3*z**2 wrt z?
48
Let b(v) be the third derivative of -v**2 - 1/35*v**7 + 0*v**3 + 0 + 1/8*v**4 + 0*v**6 + 0*v + 0*v**5. Find the second derivative of b(l) wrt l.
-72*l**2
Let b(h) be the second derivative of h**6/15 - h**2/2 - h. Differentiate b