*c**2
Let d(y) = -12*y**2 - 9*y + 31. Let k(p) = 6*p**2 + 4*p - 15. Let w(r) = 4*d(r) + 9*k(r). Find the first derivative of w(b) wrt b.
12*b
Suppose 8 + 12 = 5*a. Let l be (8/(-12))/(2/(-12)). What is the second derivative of -3*h + 2*h**a + 0*h**4 - h**l wrt h?
12*h**2
Let n(l) be the third derivative of 13*l**6/60 + 7*l**4/6 - 12*l**2. What is the second derivative of n(u) wrt u?
156*u
Let j(f) be the first derivative of -8*f**5 - 31*f - 36. What is the first derivative of j(p) wrt p?
-160*p**3
Let u(g) = -2*g**5 + 6*g**4 - 11*g**2 + 6*g. Let h(y) = y**4 - y**2 + y. Let p(c) = -6*h(c) + u(c). Find the third derivative of p(m) wrt m.
-120*m**2
Suppose 0 = -c - c + 6. Let l(j) = 0*j - c*j + 2*j + 16 - 14. Let v(t) = 2*t - 3. Let w(b) = 11*l(b) + 6*v(b). Differentiate w(o) with respect to o.
1
Let z(q) = -40*q**5 - 30*q**4 + 30*q**3 - 20*q**2. Let c(h) = h**5 + h**4 - h**3 + h**2. Let f(m) = 30*c(m) + z(m). What is the third derivative of f(n) wrt n?
-600*n**2
Let n(t) = -t**3 - 3*t**2 + 3*t - 1. Let v be n(-4). Let z(m) = -m**2 + 4. Let q be z(0). Differentiate -v*k**q + k**4 - 2 + k**4 with respect to k.
-4*k**3
Let m(s) be the second derivative of s**8/3360 - s**7/2520 - s**4/12 + 3*s. Let l(v) be the third derivative of m(v). Find the third derivative of l(n) wrt n.
12
Suppose -i + 0 + 3 = 0. What is the second derivative of i*y**3 + 24*y - 11*y**3 - 30*y wrt y?
-48*y
Let q be (-3 + (-2)/2)*-1. Find the first derivative of 2*k - q + 2 - 3 + 3*k wrt k.
5
Let l(u) be the first derivative of 5*u**4/12 - 2*u**2 - 4*u - 1. Let n(z) be the first derivative of l(z). What is the first derivative of n(p) wrt p?
10*p
Let d(o) be the second derivative of -13*o**6/10 + o**3/6 + o**2/2 + 54*o. Find the second derivative of d(l) wrt l.
-468*l**2
Let v(s) = -5*s**4 - 17*s**3 + 9. Let r(t) = -2*t**4 - 6*t**3 + 3. Let n(m) = 17*r(m) - 6*v(m). What is the derivative of n(x) wrt x?
-16*x**3
Let y(z) = 5*z - 5. Let u(l) = -2*l - 1. Let t be u(1). Let b(j) = 2 + 4 - 4*j - 2. Let g(s) = t*y(s) - 4*b(s). What is the first derivative of g(i) wrt i?
1
Differentiate -2*h + 16*h + 1 + 15 wrt h.
14
Let q(c) be the third derivative of 8*c**7/105 + 13*c**4/6 - 2*c**2 + 9. Find the second derivative of q(t) wrt t.
192*t**2
Let q(n) be the first derivative of -17*n**6/3 - 11*n**3 + 8. Find the third derivative of q(u) wrt u.
-2040*u**2
Let z = 13 + -9. What is the second derivative of -z*x - 4*x**4 - x**4 + 3*x**4 wrt x?
-24*x**2
Let m(s) = -s + 1. Let d = -7 - -8. Let t(p) = p**3 + 2*p + 1. Let q(l) = d*t(l) + 2*m(l). Find the first derivative of q(r) wrt r.
3*r**2
Let x(o) be the third derivative of 3*o**4/8 + 13*o**3/6 + 10*o**2. Differentiate x(d) wrt d.
9
What is the third derivative of 55*q**4 - 37*q**4 + q**6 + 13*q + 13*q**4 - 2*q**2 + 0*q**6 wrt q?
120*q**3 + 744*q
Let y = 1 + 2. Differentiate -11 - 4 + 10 + 5*b**y wrt b.
15*b**2
Let o(r) = -1 + 8 - r**3 - 2*r - 6*r**2 - 2*r. Let q be o(-5). Find the second derivative of -b**2 - q*b**2 + b**2 - b wrt b.
-4
Let g(j) = 11*j**4 + 7*j**2 + 6*j - 6. Let h(t) = 23*t**4 + 14*t**2 + 13*t - 13. Let k(f) = -13*g(f) + 6*h(f). Find the third derivative of k(s) wrt s.
-120*s
What is the second derivative of -45*b - 5*b + 28*b**4 + 3*b - b**3 wrt b?
336*b**2 - 6*b
Let u(p) be the first derivative of -p**4 - 3*p**2 + 7. Find the second derivative of u(j) wrt j.
-24*j
Let q(y) = -5*y - 1. Let k(m) = -m. Let j = -3 + 0. Let g(x) = j*q(x) + 12*k(x). What is the first derivative of g(i) wrt i?
3
What is the second derivative of -3*u + 2*u + 12*u**4 - 4*u wrt u?
144*u**2
Let a(j) be the second derivative of j**6/120 + j**3/6 + 3*j**2/2 + 2*j. Let q(w) be the first derivative of a(w). Differentiate q(o) with respect to o.
3*o**2
What is the second derivative of -4*n**3 + n**3 - 8*n + 4*n**3 wrt n?
6*n
Find the second derivative of 2*o - o + 0 + 0 - 5*o**4 wrt o.
-60*o**2
Suppose -3 = 2*m - s, -4*m + 4*s - 15 = -s. Find the second derivative of 5*f - f**4 - 2*f - 4*f**4 + m*f**4 wrt f.
-60*f**2
Suppose 0 = -4*u + 2 + 6. Find the second derivative of 0*k**2 + 4*k**u - 4*k**2 - 5*k + 6*k**2 wrt k.
12
Let w(y) be the first derivative of 0*y + 0*y**3 - 8 + 0*y**4 + 5/6*y**6 + 1/2*y**2 + 0*y**5. What is the second derivative of w(m) wrt m?
100*m**3
Let q be ((-1)/9)/((-68)/51). Let p(y) be the third derivative of 0*y + 0 + 1/3*y**3 + q*y**4 - y**2. What is the first derivative of p(g) wrt g?
2
Find the third derivative of 0*l**2 - 7*l**4 + l**4 - 5*l**2 wrt l.
-144*l
Let c(f) be the third derivative of f**4/12 + f**3/3 + 4*f**2. Find the first derivative of c(r) wrt r.
2
Let z(v) = -1. Suppose 3*r - 40 = -5*f + 3, 0 = -f + 5. Let u(k) = k**3 - 4*k**2 - 6. Let c(n) = r*z(n) - u(n). Find the third derivative of c(x) wrt x.
-6
Let g(x) = 1. Let o(q) = -q + 9. Let b(t) = -3*g(t) + o(t). Let a be b(4). Find the second derivative of -2*p - a*p - 2*p**2 + 2*p wrt p.
-4
Suppose r = 4*y - 9, 0*y + 2*y - 5*r = -9. Find the third derivative of y*w**2 - 4*w**2 - 3*w**5 + 4*w**5 + 2*w**2 wrt w.
60*w**2
Let j(s) = -6*s - 4. Let v(y) = 13*y + 9. Let k = 7 - 4. Let z(m) = k*v(m) + 7*j(m). Find the first derivative of z(o) wrt o.
-3
Let h be 15/18*-2*-3. What is the third derivative of 3*c**6 - h*c**2 - 2*c**6 + 7*c**2 wrt c?
120*c**3
Let v be 50/12 - (-1)/(-6). Differentiate 4*s**v + s**4 - 3*s**4 - 5*s**4 - 3 wrt s.
-12*s**3
Let p(v) be the second derivative of 0 + 0*v**3 + 0*v**5 + 1/10*v**6 - 3*v + 1/2*v**2 + 0*v**4. Differentiate p(t) wrt t.
12*t**3
Find the third derivative of -2*f**4 - 13*f**2 - f**4 - 36*f**3 + 36*f**3 wrt f.
-72*f
Let i(s) = -11*s**2 + 13*s. Let m(d) = -d. Let q(b) = i(b) + 2*m(b). What is the second derivative of q(t) wrt t?
-22
Let f be 0 - 2 - 8/(-2). Find the third derivative of -9*n + 2*n**f + 9*n + 9*n**3 wrt n.
54
Find the first derivative of 5 + 2 - j**2 + 0 wrt j.
-2*j
Let r(m) be the third derivative of -m**8/336 - 35*m**4/24 + 24*m**2. Find the second derivative of r(y) wrt y.
-20*y**3
Let f(l) = 3 - 9 + 5*l - l + l**2. Let y be f(-6). Find the first derivative of -y*x**4 - 4*x**4 - 1 + 7*x**4 wrt x.
-12*x**3
Suppose -n - 2 = q - 1, n - 5 = -4*q. What is the third derivative of 5*y**2 - 5*y**3 + 5*y**3 - 2*y**3 - 3*y**q wrt y?
-12
Let l(k) = 3*k + 1. Let v be l(1). Suppose -v*s = -5*s + 3. Find the third derivative of 3*z**4 + 0*z**6 - 3*z**4 + s*z**2 + 3*z**6 wrt z.
360*z**3
Differentiate 7*o**2 - 14 + 25 + 6 + 17*o**2 wrt o.
48*o
Let b(u) = u**4 + u**3 + u + 1. Let p(y) = -17*y**4 + 3*y**3 + y + 37. Let f(c) = 3*b(c) - p(c). Differentiate f(l) wrt l.
80*l**3 + 2
Let a(v) be the second derivative of v**6/360 + v**5/120 + v**4/3 - 4*v. Let j(o) be the third derivative of a(o). What is the first derivative of j(s) wrt s?
2
Let w(k) be the second derivative of -11*k**6/10 - 5*k**2/2 + 26*k. Differentiate w(g) wrt g.
-132*g**3
Let u(c) be the first derivative of c**8/84 + c**4/12 + 3*c**2/2 + 3. Let s(a) be the second derivative of u(a). What is the second derivative of s(d) wrt d?
80*d**3
Let x be 4/(-3)*(-3)/2. Let f be 0/2*(-5)/10. Find the first derivative of -3*s**3 + f + 2 + x*s**3 wrt s.
-3*s**2
What is the third derivative of -11*n**6 - 3*n**6 + 32*n**2 + 16*n**6 wrt n?
240*n**3
Let i(c) = c**3 - 6*c**2 + 2*c - 8. Let v be i(6). What is the second derivative of q**2 - 2*q**2 + 2*q**2 + v*q wrt q?
2
Let v(n) = -n**2 - 3*n + 4. Let r be v(-3). Differentiate 6*y**4 + 0 + 0*y**r + 6 + 5*y**4 wrt y.
44*y**3
Find the third derivative of 2*n**4 + n**4 + 5*n**2 + 13*n**2 + 0*n**4 wrt n.
72*n
Let v(j) be the first derivative of -j**8/112 - j**4/24 - 3*j**2/2 - 3. Let z(o) be the second derivative of v(o). Find the second derivative of z(q) wrt q.
-60*q**3
Let o be 3/(-3)*7 + 1. Let s be 1 + 4 - (-4 - o). Find the third derivative of 0*p**5 - 4*p**2 - 3*p**5 + s*p**2 wrt p.
-180*p**2
What is the third derivative of 24*n**3 + n**2 - 12*n**3 - 7*n**3 + 8*n**2 wrt n?
30
Let q = 5 - 3. Let c be -1*q + 3 + 1. Differentiate 0 - 3*m**3 + c + 5*m**3 wrt m.
6*m**2
Suppose -5*y = -3*y - 4. What is the third derivative of -2*m**2 - m**y + m**6 + 4*m**2 wrt m?
120*m**3
Let c be 4/12 - 8/(-3). Find the third derivative of 10*r**3 + r**2 - c*r**5 - 10*r**3 wrt r.
-180*r**2
Suppose -2*q - 2*q = -12. What is the second derivative of -