4
Let i(c) = -111*c**5 - 21*c**4 + 120*c + 21. Let b(q) = 11*q**5 + 2*q**4 - 12*q - 2. Let d(u) = 42*b(u) + 4*i(u). Find the second derivative of d(v) wrt v.
360*v**3
Let u = 18 + -18. Let y(w) be the third derivative of 0*w**4 - 5/6*w**3 + 0*w - 1/30*w**5 + w**2 + u. Differentiate y(m) wrt m.
-4*m
Let x(k) be the first derivative of -k**7/7 + 23*k**3/3 - 21. Find the third derivative of x(w) wrt w.
-120*w**3
Let l(f) be the second derivative of -f**6/40 + f**5/20 - f**2/2 - f. Let v(h) be the first derivative of l(h). Find the third derivative of v(a) wrt a.
-18
Let h(k) = k**6 - k**4 + k**2 - 1. Let l(v) = -36*v**6 + 3*v**4 + 32*v**2 + 3. Let b(p) = -3*h(p) - l(p). Find the third derivative of b(t) wrt t.
3960*t**3
Let h(n) be the third derivative of 5*n**8/336 - n**4/6 + 5*n**2. Find the second derivative of h(p) wrt p.
100*p**3
What is the third derivative of 5*c**2 + 4*c**4 + 9*c**3 - 9*c**3 wrt c?
96*c
Let b(x) be the third derivative of x**7/210 - 11*x**3/3 + 30*x**2. What is the first derivative of b(m) wrt m?
4*m**3
Let p = 8 + -6. Suppose -p = 2*g - 12. What is the second derivative of -2*b**2 - b**g + 2*b**2 - b**5 + b wrt b?
-40*b**3
Let l be (-1)/(-2) + 5/(-10). What is the second derivative of l*d**5 - 4*d**5 + 2*d - d wrt d?
-80*d**3
Let h be ((-24)/(-20))/(3/(-10)). Let k be (-8)/(-20) - h/(-10). Find the third derivative of 2*b**6 - 4*b**2 + 0*b**4 + 2*b**2 + k*b**4 wrt b.
240*b**3
Let x(g) = -g + 10. Let o be x(5). What is the third derivative of 19*m**5 - 7*m**5 - 2*m**5 - 6*m**o - 5*m**2 wrt m?
240*m**2
Let s(n) be the second derivative of n**9/756 + n**5/40 + n**3/6 + 5*n. Let f(l) be the second derivative of s(l). What is the second derivative of f(h) wrt h?
80*h**3
Let x(c) be the second derivative of -7*c**6/30 + 3*c**2 - 22*c. What is the first derivative of x(w) wrt w?
-28*w**3
Let m(c) = c + 1. Let p(o) = 1. Let i be 2*(27/6 + -3). Let a(w) = i*m(w) - 4*p(w). Differentiate a(r) wrt r.
3
Let h(q) be the second derivative of q**8/560 + q**6/72 + q**3/2 + 6*q. Let p(x) be the second derivative of h(x). What is the third derivative of p(o) wrt o?
72*o
Suppose 5*i - 8 = i. Find the third derivative of -2*v**6 + v**i + 7*v**6 + v**2 wrt v.
600*v**3
Let s(o) = -4*o - 3*o + 5*o + o. Let g(l) = 3*l + 1. Let t(x) = -4*g(x) - 9*s(x). What is the first derivative of t(i) wrt i?
-3
Let w(u) be the first derivative of -u**6/3 + 3*u**3 + 9. Find the third derivative of w(s) wrt s.
-120*s**2
Let b be 2/(-6)*0/(-1). Let t = 4 + -2. Find the third derivative of -s**2 + s**2 - 2*s**2 + s**6 + b*s**t wrt s.
120*s**3
Let l(r) be the first derivative of -15*r**7/7 + r**6/3 - r**3/3 + 3*r**2/2 - 45. What is the third derivative of l(y) wrt y?
-1800*y**3 + 120*y**2
Let f = 6 + -3. Let p = 1 + f. What is the second derivative of 3*v + 6*v**3 + 0*v - p*v**3 wrt v?
12*v
Let p be (2/4)/(2/28). What is the derivative of -d**2 - p*d - 3 + 7*d wrt d?
-2*d
Let q(r) be the second derivative of -5*r**7/42 + 10*r**3/3 - 10*r. What is the second derivative of q(f) wrt f?
-100*f**3
Suppose 0 = -5*l + 25 - 5. Let x be (-3)/(-3)*-4 + 8. What is the derivative of 3*z + l - x - 4 + 2 wrt z?
3
Suppose 3*j = 5*n + 30, 4*j - 8*j = 2*n - 14. Find the third derivative of -8*k**6 - 5*k**2 + 3*k**2 + j*k**6 wrt k.
-360*k**3
Differentiate 5 + 1 - k - 1 wrt k.
-1
Find the third derivative of 2*r**2 - 9*r**2 - 9*r**4 + r**4 wrt r.
-192*r
Let k(d) = 1. Let o(y) = 21*y**2 + 28. Let p(c) = -k(c) - o(c). Differentiate p(z) wrt z.
-42*z
Let i(q) = -q**2 + 3*q + 2. Let a be i(4). Let f be a*(-9)/(-12)*-2. Find the second derivative of 0*g + g + 0*g + 0*g - f*g**2 wrt g.
-6
Suppose -5*k + 0*k + 40 = 0. Suppose -49 = -k*z + 3*z + n, -4*n = 5*z - 54. What is the second derivative of p + 2*p**4 - 10*p**2 + z*p**2 wrt p?
24*p**2
Find the second derivative of 9399*z**3 + 39*z**4 - 9399*z**3 + 8*z wrt z.
468*z**2
Let h(i) = 2*i**2 + 8*i + 5. Let n(k) = 2*k**2 + 7*k + 4. Let x(m) = 4*h(m) - 5*n(m). What is the second derivative of x(f) wrt f?
-4
Let h(d) = -7*d + 4. Let i(o) = -69*o + 39. Let t(a) = -63*h(a) + 6*i(a). Differentiate t(j) wrt j.
27
Let r(f) = 7*f**2 + 7*f**2 + 4 + 2. Let o(y) = -5*y**2 - 2. Let u(j) = -17*o(j) - 6*r(j). What is the derivative of u(m) wrt m?
2*m
Let u(s) be the first derivative of 3*s**5/20 + s**4/4 - 3*s + 2. Let w(g) be the first derivative of u(g). Find the third derivative of w(z) wrt z.
18
Let j(y) = -17*y**2 + 6*y + 8. Let w(m) = 2 - 4*m**2 + 1 + m**2 - 3*m**2 + 2*m. Let h(x) = 3*j(x) - 8*w(x). Find the second derivative of h(d) wrt d.
-6
Suppose -2 = -o - 4. Let c be 3/(-3)*8/o. What is the first derivative of c + 0 - 2 - 2*i wrt i?
-2
Let n(v) be the first derivative of -5*v**8/56 + v**4/12 + 5*v - 5. Let p(o) be the first derivative of n(o). What is the third derivative of p(m) wrt m?
-600*m**3
What is the second derivative of -30*a - a**2 + 4*a**4 + 21*a + a**2 wrt a?
48*a**2
Let b(d) be the second derivative of d**8/3360 - d**7/840 + d**4/3 - 4*d. Let r(i) be the third derivative of b(i). Find the third derivative of r(j) wrt j.
12
Find the third derivative of -43*p**2 + 0*p**3 + 173*p**4 - 168*p**4 + 0*p**3 wrt p.
120*p
Suppose 2 = -p - 2*n - 0*n, 3*n = 3*p - 12. Suppose 2*w = 3*a - a + 24, p*a + 51 = 5*w. Find the first derivative of 0*j**2 + 11 - 3*j**2 - w wrt j.
-6*j
What is the derivative of 62*q**2 + 0*q**3 - 2*q**4 - 109*q**2 + 0*q**3 - 38 wrt q?
-8*q**3 - 94*q
Let l(x) = -21*x**3 - 13*x**2 + 3*x - 3. Let n(u) = -u**2 + u - 1. Let b(g) = l(g) - 3*n(g). Find the third derivative of b(v) wrt v.
-126
Suppose -3*m + 12 = 3. Differentiate -m - 6*p + 3 + 3 with respect to p.
-6
Let s(l) = 33*l**3 + 3*l**2 + 5. Let y(o) = 33*o**3 + 4*o**2 + 6. Let g(d) = -6*s(d) + 5*y(d). What is the third derivative of g(k) wrt k?
-198
Let a(g) = 3*g**2 + 3*g + 1. Let t be a(-3). Suppose -3*p + 12 = 2*q, t = 5*q + 5*p - 6. Find the third derivative of 2*i**2 - i**2 - q*i**2 - 2*i**3 wrt i.
-12
Suppose -2*h + h = 0. Suppose h*n + n = 5. Find the third derivative of 2*c**5 + c**2 - c**n + 0*c**2 wrt c.
60*c**2
Let z be 3 + (1 - 7) + 10. Let j = -1 + z. What is the third derivative of 3*d**6 + 0*d**6 + 2*d**j + 3*d**2 - 6*d**6 wrt d?
-120*d**3
Let a(b) = -b**5 - b**4 - b**2 - b. Let r(h) = -3*h**5 + 15*h**4 + 3*h**2 + 15*h. Let t(q) = -15*a(q) - r(q). Find the third derivative of t(c) wrt c.
1080*c**2
Let n(d) = -d**4 + d**3 + d - 1. Let o(t) = -t**3 + 9*t - 4. Let u(l) = -n(l) - o(l). Find the first derivative of u(c) wrt c.
4*c**3 - 10
Let i(m) = 7*m**2 - 2*m + 18. Let x(w) = 28*w**2 - 9*w + 71. Let a(j) = 18*i(j) - 4*x(j). What is the derivative of a(t) wrt t?
28*t
What is the second derivative of 17*g + 12*g**2 - 7*g**2 + 10*g**2 wrt g?
30
Suppose -3*s + 1 = 5*t + 2, 4*t = -5*s - 6. Let v be (s + 14/6)*9. Differentiate 1 - v + l**2 + 3 with respect to l.
2*l
Let v(f) be the third derivative of 0 + 0*f**6 + 0*f**3 + f**2 + 1/60*f**5 + 0*f + 0*f**4 + 0*f**7 - 1/168*f**8. Find the third derivative of v(a) wrt a.
-120*a**2
Let b(o) be the second derivative of 2*o**7/105 - o**4/12 + o**2 - 3*o. Let m(t) be the first derivative of b(t). What is the second derivative of m(h) wrt h?
48*h**2
Let h(i) be the first derivative of -2/3*i**3 + 1 + 0*i + 0*i**2 - i**4. What is the third derivative of h(v) wrt v?
-24
Suppose -2*y = -f + 3*y + 23, 0 = -4*y - 20. Let i = 5 + f. What is the third derivative of -2*h**5 + i*h**5 + 3*h**2 - 4*h**5 wrt h?
-180*h**2
Let s(u) = 23*u**3 + 5*u**2 - 19*u - 5. Let q(v) = -35*v**3 - 8*v**2 + 28*v + 8. Let m(b) = 5*q(b) + 8*s(b). What is the second derivative of m(d) wrt d?
54*d
Let a = 5 - 2. Suppose -h + 30 = 4*h. Find the third derivative of -q - h*q**a + q + 2*q**2 + 3*q**3 wrt q.
-18
Find the third derivative of u**3 + 6*u**2 + 6*u**2 - 17*u**2 wrt u.
6
Let l(y) = -y**2 + 10*y + 13. Let a be l(11). Find the third derivative of -z**2 - 5*z**5 + z**5 - 2*z**a wrt z.
-240*z**2
Let r be (20/15)/((-2)/(-3)). Let k(o) = 6 + 6*o**r + 4 - 1. Let a(w) = 3*w**2 + 4. Let c(g) = 5*a(g) - 2*k(g). Find the first derivative of c(u) wrt u.
6*u
Let x(c) be the second derivative of c**8/14 - 7*c**4/3 - 4*c. Find the third derivative of x(v) wrt v.
480*v**3
What is the third derivative of -12*s**4 + 8*s**2 + 9*s**6 + 12*s**4 wrt s?
1080*s**3
