rt s?
-9*s**2
Let d(t) be the first derivative of t**8/840 - t**5/40 + 2*t**3/3 + 3. Let m(s) be the third derivative of d(s). What is the second derivative of m(b) wrt b?
24*b**2
Let n(d) = 4*d**2 + 4*d - 2. Let y(u) = 8*u**2 + 7*u - 5. Let a(j) = 7*n(j) - 4*y(j). Differentiate a(i) with respect to i.
-8*i
Let s(c) be the first derivative of -41*c**2/2 + 12*c - 17. What is the derivative of s(z) wrt z?
-41
Let h(t) = t**3 - 4*t**2 + 2. Let q be h(4). Find the second derivative of -3*o**3 - o - 3*o - 3*o + q*o wrt o.
-18*o
Let k(t) = 10*t**3 - 1. Let j(w) = 11*w**3. Let s(q) = 2*j(q) - 3*k(q). What is the derivative of s(c) wrt c?
-24*c**2
What is the derivative of -5 + 16*q**2 - 16*q**2 - 4*q**3 wrt q?
-12*q**2
Suppose r + r = 10. Let s(p) = -7*p**3 - 12*p - 5. Let v(t) = -11*t**3 - 18*t - 8. Let q(y) = r*v(y) - 8*s(y). Find the second derivative of q(m) wrt m.
6*m
Let i = -6 - -8. Suppose 0 = -t + 5 - 3. Differentiate 3 - 2 - 2*z**i + 4*z**t wrt z.
4*z
Let y(j) = 2*j + 2. Let f be y(2). Differentiate -2*l**3 - f + 0 + 9 wrt l.
-6*l**2
Let w(v) be the first derivative of -4*v**3/3 + 15*v**2/2 + 5. Find the second derivative of w(x) wrt x.
-8
Let s(a) be the first derivative of a**4/4 + 29*a**3/3 + 10*a - 47. What is the derivative of s(g) wrt g?
3*g**2 + 58*g
Differentiate -7 + 3*w**2 - 6*w**2 - 2*w**2 with respect to w.
-10*w
What is the second derivative of -t - 33*t**4 - 76 - 24*t + 76 wrt t?
-396*t**2
Suppose -4*k - 8 = 2*u - 4, 0 = 3*u + 5*k + 4. What is the first derivative of -3 - m**u - 11*m**2 + 2*m**2 wrt m?
-20*m
Let y(k) be the second derivative of -k**9/5040 + k**7/840 - k**4/4 + 3*k. Let w(o) be the third derivative of y(o). Find the third derivative of w(m) wrt m.
-72*m
Let w(r) = 6*r**2 + 3*r + 29. Let u(s) = -3*s**2 - 2*s - 14. Let l(b) = 9*u(b) + 4*w(b). Let q(m) be the first derivative of l(m). Differentiate q(o) wrt o.
-6
Let b(x) = -x**2 - x + 5. Let y be b(0). What is the second derivative of y*v**2 - 2*v**2 - 4*v + 0*v + 5*v wrt v?
6
Suppose 20 = -3*v + 7*v. Suppose l + 2 = 4*l + c, -4*c - 6 = v*l. Differentiate 0*n**3 - l*n**3 + 3 + 0*n**3 wrt n.
-6*n**2
Let o(f) = f**2 - 7*f + 3. Let p(r) = -2*r**2 + 7*r - 2. Let m(t) = 2*o(t) + 3*p(t). Find the second derivative of m(n) wrt n.
-8
Let l(p) = -23*p**5 + 2*p**4 + 2*p**2 + p - 2. Let z(v) = -v**5 + v**4 + v**2 + v - 1. Let f(q) = -l(q) + 2*z(q). Find the second derivative of f(d) wrt d.
420*d**3
Suppose -z + 19 = 2*i + 6, 2*z - 3*i = -2. Find the third derivative of 0*l**z + 4*l**2 + l**5 + l**5 wrt l.
120*l**2
Let h(r) = -10*r + 5. Let m(o) = 9*o - 4. Let u = -13 + 10. Let n(y) = u*m(y) - 2*h(y). What is the first derivative of n(i) wrt i?
-7
Let a be (-2)/9 + 94/18. Suppose 1 - 25 = -5*t + 2*w, -10 = a*w. What is the third derivative of x**4 - 6*x**4 - 3*x**2 + 2*x**t wrt x?
-72*x
Let l be 15/9 + 1/(-1). Let n(y) be the first derivative of 2 - y - l*y**3 + 0*y**2. What is the first derivative of n(a) wrt a?
-4*a
Let m(c) = -21*c**2 + 63. Let a(k) = -10*k**2 + 31. Let x(n) = 5*a(n) - 2*m(n). Find the first derivative of x(w) wrt w.
-16*w
Suppose 2*d = 1 + 3. Suppose 5*i = d*i + 6. What is the third derivative of -i*n**3 + 2*n**2 + n - n - 3*n**2 wrt n?
-12
Let g(z) = -4*z**4 - 3*z**2 + 5*z + 5. Let s(u) = 2*u**4 + 2*u**2 - 2*u - 2. Let k(m) = 4*g(m) + 10*s(m). What is the third derivative of k(v) wrt v?
96*v
Let f(g) = 22*g**5 - 69*g**2 + 5. Let h(t) = -11*t**5 + 35*t**2 - 2. Let k(n) = -2*f(n) - 5*h(n). What is the third derivative of k(r) wrt r?
660*r**2
Let v(a) = a**2 - a. Let s = -86 + 50. Let r(w) = 20*w**2 - 16*w. Let g(c) = s*v(c) + 2*r(c). What is the second derivative of g(i) wrt i?
8
What is the derivative of -4*j + 16*j + 54 - 7*j wrt j?
5
Let w be 0*-1*5/(-15). Let f(d) be the first derivative of 0*d**4 - 2/5*d**5 - d**3 + w*d**2 + 2 + 0*d. Find the third derivative of f(m) wrt m.
-48*m
Let l(o) be the second derivative of -o**6/10 + 5*o**3/6 - 6*o. What is the second derivative of l(t) wrt t?
-36*t**2
Let s(y) = -y**3 - 7*y**2 - 6*y + 2. Let a be s(-6). What is the first derivative of -a*c**4 + 4 - 3 - 2 + 3*c**4 wrt c?
4*c**3
Let a(y) be the third derivative of -y**5/60 - y**4/3 + y**3/2 - y**2. Let l be a(-8). Differentiate 17*r**3 + 3 - 17*r**l - 3*r**4 with respect to r.
-12*r**3
What is the third derivative of 2*k**2 - 30*k**3 + 7*k**2 + 25*k**3 wrt k?
-30
Let y(q) be the third derivative of q**8/24 + 11*q**4/24 - 14*q**2. What is the second derivative of y(x) wrt x?
280*x**3
Let j(h) be the third derivative of h**4/6 - 4*h**3 + 39*h**2. Find the first derivative of j(i) wrt i.
4
Suppose 0 = -4*g - g + 45. Let i = -6 + g. Differentiate -i + 5*p**2 - 5*p**2 + 3*p**2 + 4 wrt p.
6*p
Let m(c) = 2*c + 1. Let d be m(2). Find the third derivative of 4*w**4 + 5*w**d + 5*w**2 - 5*w**4 + w**4 wrt w.
300*w**2
Suppose -28 + 8 = -2*y. Let i be (-2 - y/(-4))*12. Find the third derivative of 4*n**i - 2*n**6 + n**2 + n**2 wrt n.
240*n**3
Let f(x) be the second derivative of -7*x**4/6 + x**2/2 - 7*x. Differentiate f(b) wrt b.
-28*b
Let y(a) be the first derivative of 46*a**5/5 + 2*a**3/3 + 70*a - 5. Find the first derivative of y(g) wrt g.
184*g**3 + 4*g
Let d(o) = -5*o - 5. Let q(s) be the second derivative of -5*s**3/6 - 3*s**2 + 4*s. Let t(r) = -2*d(r) + 3*q(r). Differentiate t(v) wrt v.
-5
Let m(n) be the third derivative of -n**8/3360 - n**7/630 - n**5/12 - n**2. Let l(y) be the third derivative of m(y). Find the second derivative of l(u) wrt u.
-12
Let y = -17 - -19. What is the third derivative of -r**5 + 2*r**2 - 30*r - r**y + 30*r wrt r?
-60*r**2
Let q(h) be the third derivative of h**6/12 + 9*h**3/2 + 17*h**2. Differentiate q(z) with respect to z.
30*z**2
Let m(w) = -3 + 7 + 0*w - 3*w - 5*w**2. Let k(r) = -6*r**2 - 4*r + 5. Let o(g) = 4*k(g) - 5*m(g). Find the second derivative of o(v) wrt v.
2
Let h(r) be the first derivative of -r**3/3 - 3*r**2 - 3*r + 1. Let i be h(-5). Find the second derivative of 4*w + 0*w**2 - 2*w - 2*w**i wrt w.
-4
Let u = 21 - 20. What is the second derivative of u - 1 + 6*f**3 - f - 5*f wrt f?
36*f
Let r = 17 - 13. What is the first derivative of l**4 + 2*l**r - l**4 + 4 wrt l?
8*l**3
Suppose -7*g = -2*g + 3*c - 22, 4*c = -5*g + 26. Differentiate 0 + 0*v**2 - 2*v**g + 0*v**2 + 3 with respect to v.
-4*v
Let o(h) be the second derivative of -7*h**6/30 + 5*h**4/12 + 7*h. What is the third derivative of o(k) wrt k?
-168*k
Let d(x) = -x**2 + 5. Let s be d(0). What is the first derivative of j - 1 + s + 4*j - 2*j wrt j?
3
What is the third derivative of -f**4 - 8*f**4 + 3*f**4 + 6*f**2 wrt f?
-144*f
Suppose -4*u - 1 = 7. Let r(x) = x**2 + x - 1. Let v be r(u). What is the second derivative of -v - 1 + 2 - a**3 + 3*a wrt a?
-6*a
Let t(b) = -b - 1. Let k be t(-4). Suppose -k + 23 = 5*d. What is the first derivative of 4*q**2 + 3*q**d - 4*q**2 + 2 wrt q?
12*q**3
Let k(d) be the third derivative of 2*d**5/15 - 5*d**3/3 + 11*d**2. Differentiate k(s) wrt s.
16*s
Let z(n) = n**3 - 2*n**2 + 2. Let i = 0 - -2. Let q be z(i). What is the third derivative of 3*j**2 - 2*j**2 - 2*j**5 + q - 2 wrt j?
-120*j**2
Suppose 2*j - 2 = 6. Let f(r) be the third derivative of 1/30*r**5 + 0*r**j - 2*r**2 + 1/6*r**3 + 0 + 0*r. Differentiate f(b) with respect to b.
4*b
Let w(c) = 2*c**2 + 2*c + 2. Let f be w(-1). Differentiate 4 - i**2 - f*i**2 + 3*i**2 + 6*i**3 wrt i.
18*i**2
What is the third derivative of -6*t**2 + 72*t - 2*t**2 + 6*t**5 - 72*t wrt t?
360*t**2
Let o(h) = 6*h - 3. Suppose w = 4*g + 11, g - 3*w - 12 + 1 = 0. Let v(i) = -12*i + 7. Let c(j) = g*v(j) - 9*o(j). Differentiate c(t) with respect to t.
-6
Let d = -4 - -9. What is the first derivative of d - 2*j**3 + 6*j**2 - 6*j**2 wrt j?
-6*j**2
Let a(c) be the first derivative of -40*c**7/7 + 10*c**3/3 - 3*c - 44. What is the third derivative of a(p) wrt p?
-4800*p**3
Let a(q) be the second derivative of 0*q**3 + 0*q**4 + 0*q**5 - 6*q - 2/15*q**6 + 0 - 3/2*q**2. Differentiate a(m) with respect to m.
-16*m**3
Let c(l) = l**3 + l + 1. Let g(b) = 76*b**3 + 52*b**2 + 4*b + 4. Let r(v) = 4*c(v) - g(v). What is the third derivative of r(y) wrt y?
-432
Let y(m) = m**3 - 11*m**2 + 12*m - 15. Let z be y(10). Find the second derivative of 4*i**3 - 4*i - 2*i**3 + 4*i - z*i wrt i.
12*i
Let w = 2 - -1. Find th