Let s(m) be the second derivative of m**6/120 - m**5/30 + m**3/6 - 2*m. Let y(k) be the second derivative of s(k). Find the second derivative of y(b) wrt b.
6
Let v(l) be the second derivative of -l**6/60 + l**4/24 - l**3/2 - 2*l. Let s(g) be the second derivative of v(g). Differentiate s(m) with respect to m.
-12*m
Let a(g) = g**2 - 12*g + 30. Let s be a(9). Let k = 6 + -3. Find the third derivative of 3*l**s + l**2 - 3*l**2 - 4*l**k + 0*l**3 wrt l.
-6
Let g(h) = -h**3 - 6*h**2 + 3. Let k be (2 - 3)/2*12. Let u be g(k). Find the third derivative of -4*d**u - 4*d**2 + 6*d**3 + 2*d**2 wrt d.
12
Let z(f) be the second derivative of f**6/6 + 7*f**2/2 + 5*f. What is the first derivative of z(l) wrt l?
20*l**3
Let g(x) = -x**2 - 3*x - 5. Let l(t) be the first derivative of -3*t**2/2 - 4*t + 5. Let d(j) = 4*g(j) - 5*l(j). What is the second derivative of d(r) wrt r?
-8
Let s be ((-36)/(-8))/((-6)/(-8)). What is the third derivative of 4*o**4 - s*o - 3*o**2 + o**2 + 6*o wrt o?
96*o
Let y = -51 - -51. Let k(v) be the first derivative of -2 + 0*v**3 + 0*v**2 - 2*v + y*v**4 + 1/5*v**5. Differentiate k(c) wrt c.
4*c**3
What is the third derivative of 5*b**4 + 2*b**4 - 4*b**4 + 4*b**2 wrt b?
72*b
Let f be ((-4)/10)/(1/(-5)). Find the second derivative of 0*t**f + 3*t**2 - 4*t + t - t wrt t.
6
Let z be (-1)/(-2) - (-10)/4. Suppose 6*b = z*b + 3. Differentiate -b - 3*w + 3*w + 2*w with respect to w.
2
Suppose -4*v + 1 = -11. Find the third derivative of 2*x - 2*x - 3*x**4 + v*x**2 wrt x.
-72*x
Let d(h) be the second derivative of -2*h**6/5 - 47*h**2/2 + h - 42. Differentiate d(j) wrt j.
-48*j**3
Suppose i - 7 = 3*a, 3*i = -2*i - 2*a + 18. Find the first derivative of -i*l**3 + 4*l**3 - 1 - l**4 wrt l.
-4*l**3
Let d(g) be the second derivative of 9*g**5/20 + 23*g**4/12 + 4*g. What is the third derivative of d(i) wrt i?
54
Suppose 0 = j - 3*j + 6. Find the third derivative of -p**2 - 5*p**3 - 6*p**2 + p**j + p**3 wrt p.
-18
Let t(u) be the second derivative of u**4/6 - u**3/6 + 26*u**2 + u + 25. What is the derivative of t(k) wrt k?
4*k - 1
What is the second derivative of -5*x - 7*x**3 - 21*x**3 - 23*x wrt x?
-168*x
Let l(i) = -59*i**3 + 39. Let q(b) = -1. Let s(u) = -l(u) - 5*q(u). Differentiate s(x) with respect to x.
177*x**2
Let b(m) be the third derivative of 0 + 0*m**4 - 1/6*m**3 + 0*m + 0*m**5 - 1/40*m**6 - 6*m**2. What is the first derivative of b(c) wrt c?
-9*c**2
Let q be ((-1)/25)/((-4)/10). Let b(a) be the second derivative of 0*a**2 + 0*a**4 - q*a**5 + 1/6*a**3 - a + 0. What is the second derivative of b(u) wrt u?
-12*u
What is the second derivative of -b + 2*b**5 - 18*b + 11*b**5 wrt b?
260*b**3
Let o(t) be the first derivative of 0*t**2 + 0*t**4 - 5 - 2/7*t**7 + 4/3*t**3 + 0*t + 0*t**6 + 0*t**5. What is the third derivative of o(j) wrt j?
-240*j**3
Let m be (1 - 22/10)*(-10)/3. Let g(d) be the second derivative of 0*d**2 - 1/6*d**m + 0 + 3*d - 1/3*d**3. What is the second derivative of g(y) wrt y?
-4
Let m(l) be the first derivative of 3/2*l**2 + 5 - 7/4*l**4 + 0*l**3 + 0*l. What is the second derivative of m(u) wrt u?
-42*u
Suppose 20 = -4*n, 10 = 3*j - 3*n - 5. Let m = 3 - j. What is the third derivative of 4*a**6 + 4*a**3 - 4*a**3 + m*a**2 + a**2 wrt a?
480*a**3
Let w(y) be the second derivative of y**8/112 + y**5/20 - 3*y**2/2 + 3*y. Let t(j) be the first derivative of w(j). Find the third derivative of t(s) wrt s.
180*s**2
Let s(i) = -9*i**3 - 4*i**2. Let d = 6 + -7. Let w(k) = -k**3 - k**2 - k. Let f(z) = d*s(z) + 4*w(z). What is the second derivative of f(l) wrt l?
30*l
Let z(w) = -w**2 - 6*w. Let m be z(-5). Suppose 2*b + 0*b + p = 2, m*p + 20 = 0. What is the third derivative of -16*o + b*o**2 + 16*o + o**5 wrt o?
60*o**2
Let c(g) be the first derivative of -2*g**5/5 + 10*g - 9. Differentiate c(d) with respect to d.
-8*d**3
Find the third derivative of 7*s**2 - 45*s**3 + 94*s**3 - 49*s**3 - 7*s**6 wrt s.
-840*s**3
Suppose -3*l + 3*j = -112 + 19, -3*l - 4*j = -93. Suppose g - 5*i = -17, -5*g - 5 = -0*g - 5*i. Find the second derivative of -31 - g*d**3 + l - d wrt d.
-18*d
Let n(z) be the second derivative of 27*z**8/56 + z**4 - 23*z. What is the third derivative of n(y) wrt y?
3240*y**3
Let v(h) be the third derivative of -h**7/720 - h**6/240 + h**5/12 + 4*h**2. Let m(n) be the third derivative of v(n). What is the derivative of m(l) wrt l?
-7
Find the first derivative of -2*c**2 + 2*c**2 - 6 + 21*c**3 wrt c.
63*c**2
What is the third derivative of -3*h**5 + 12*h**2 - 297*h**4 + 297*h**4 wrt h?
-180*h**2
Let x = -12 + 13. Suppose -4*b - 5*a + 36 = 0, b = 6*b - a - 16. What is the derivative of b*t + 0*t - 2*t + t + x wrt t?
3
Let v(o) be the second derivative of o**9/1512 - o**5/60 - o**3/6 - 2*o. Let l(a) be the second derivative of v(a). Find the second derivative of l(d) wrt d.
40*d**3
Let a(x) be the first derivative of 5*x**9/504 + x**5/10 - 3*x**2 - 1. Let z(v) be the second derivative of a(v). What is the third derivative of z(u) wrt u?
600*u**3
Suppose -5*f - 4*n + 10 = 0, -f - 4*n = -5*f + 8. Find the second derivative of -4*u + u - u - u**5 + f*u wrt u.
-20*u**3
Suppose 4*k - 7 = -5*t, -4*t + 5*k + 0*k + 22 = 0. Find the second derivative of 4*z + 0*z + 0*z - t*z - 3*z**2 wrt z.
-6
Let a(d) = 7*d**5 + 3*d**4 - 11*d**2 - 3*d. Let x(s) = 6*s**5 + 2*s**4 - 12*s**2 - 2*s. Let n(f) = 2*a(f) - 3*x(f). Find the third derivative of n(w) wrt w.
-240*w**2
Let y(v) be the third derivative of -v**6/60 - 2*v**3/3 - 5*v**2. What is the first derivative of y(m) wrt m?
-6*m**2
Let g(d) = -2*d**4 - 2*d + 3. Let n(r) = 2*r**4 + 3*r - 4. Let m be (1/(-3) + 0)*9. Let z(h) = m*n(h) - 4*g(h). Find the second derivative of z(y) wrt y.
24*y**2
Let w(n) = 7*n**2 - 5*n + 4. Let l(o) = 8*o**2 - 4*o + 3. Let b(t) = -5*l(t) + 4*w(t). What is the first derivative of b(a) wrt a?
-24*a
Let j(h) be the first derivative of h**7/210 + h**3/3 + 5*h**2/2 - 5. Let w(y) be the second derivative of j(y). Find the first derivative of w(l) wrt l.
4*l**3
Let k(g) be the third derivative of -1/10*g**5 + 0*g**3 + 0*g + 1/4*g**4 + 7*g**2 + 0. What is the second derivative of k(r) wrt r?
-12
Suppose 4 = -0*o + 2*o. What is the first derivative of -2*p**2 + o*p**2 + 2*p**2 - p**2 + 3 wrt p?
2*p
What is the third derivative of 5*i**6 + 35*i**2 + i**4 + 12*i**6 - 7*i**6 + 16*i**2 wrt i?
1200*i**3 + 24*i
Let u(v) = -35*v**4 - 17*v + 21. Let d(c) = -12*c**4 - 6*c + 7. Let p(q) = -17*d(q) + 6*u(q). Differentiate p(o) with respect to o.
-24*o**3
Let i(a) be the second derivative of 9*a**7/14 - 17*a**3/6 - 6*a. What is the second derivative of i(h) wrt h?
540*h**3
Let z(u) be the first derivative of -1/2*u**6 + 0*u**4 + 0*u**2 + 0*u**5 + 0*u + 5/3*u**3 + 2. Find the third derivative of z(w) wrt w.
-180*w**2
Let v(d) = 69*d**3 + 40*d**2 - 7. Let g(l) = 34*l**3 + 20*l**2 - 3. Let u(t) = -7*g(t) + 3*v(t). Find the third derivative of u(n) wrt n.
-186
Let o(u) be the second derivative of -7*u**5/20 - 7*u**2/2 + 2*u. What is the derivative of o(d) wrt d?
-21*d**2
Let n(r) be the third derivative of 0*r + 0*r**5 + 0 + 2*r**2 - 1/6*r**4 + 0*r**3 + 1/60*r**6. Find the second derivative of n(f) wrt f.
12*f
Let k = -8 + 13. Suppose 3*b = -p + k, 0 = -4*b - 2*p - 0*p + 6. What is the third derivative of 0*y**3 + 0*y**3 + 2*y**6 - y**b wrt y?
240*y**3
Let s(n) = 5*n**5 - 2*n**3 + 2*n - 2. Let w(j) = j**5 + j**3 + 1. Let z(m) = s(m) + 2*w(m). Find the second derivative of z(k) wrt k.
140*k**3
Let c(t) be the second derivative of 2*t**7/7 - 8*t**3/3 - 2*t. Find the second derivative of c(b) wrt b.
240*b**3
Let v(r) = -r. Let q(k) = -6*k - 2. Let y(p) = q(p) + 8*v(p). What is the derivative of y(d) wrt d?
-14
Let j(i) be the first derivative of -i**3/3 + 3*i**2 - 3*i + 2. Let u be j(5). What is the third derivative of -3*a**5 + 0*a**2 - a**6 + 3*a**5 - a**u wrt a?
-120*a**3
Let k(n) = -n + 1. Let r(c) = -6*c**3 - c + 5. Let t(x) = 5*k(x) - r(x). Find the second derivative of t(j) wrt j.
36*j
Let d(g) = -g - 2. Let q be d(-3). Let i = 1 + q. Differentiate 0 - i + 4 + 2*k**3 wrt k.
6*k**2
Suppose -3*g + 3 = -9. Find the third derivative of 5*d**2 - 6*d**2 + 5*d**2 - g*d**6 wrt d.
-480*d**3
Let k(i) = -3*i + 2. Let u be k(7). Let d = -13 - u. Find the third derivative of -2*q**2 - 2*q**d + q*