n. Find the second derivative of r(m) wrt m.
-18*m
Suppose 12 = 5*t - 4*o, 4*o + 15 = 4*t - o. Suppose t*l = 4*l. What is the first derivative of l - 3*n**2 + 1 - 3 wrt n?
-6*n
What is the third derivative of x**2 + 28*x**4 + x**2 - 9*x**2 wrt x?
672*x
Let r(c) be the third derivative of 1/6*c**3 + 0*c**4 + 0 + 1/35*c**7 + 0*c**6 + 4*c**2 + 0*c + 0*c**5. Differentiate r(h) wrt h.
24*h**3
Find the second derivative of 53*o**2 - 25*o + 49*o - 54*o wrt o.
106
Let t(i) = -3 + 1 - i**4 + 9*i**4 + 4*i**2. Let y(z) = -z**4 - z**2 + 1. Let o(h) = -t(h) - 4*y(h). Differentiate o(g) with respect to g.
-16*g**3
Let t = 54 - 51. Let i(v) be the second derivative of -1/15*v**6 + v + 0*v**4 + 0*v**5 + 0 + 0*v**t - 1/2*v**2. What is the first derivative of i(p) wrt p?
-8*p**3
Let a(p) be the third derivative of -p**7/30 - p**5/20 - 7*p**2. Find the third derivative of a(v) wrt v.
-168*v
Let h(k) = 7*k**5 + 3*k + 2. Let t(c) = -36*c**5 - 14*c - 11. Let u(a) = -22*h(a) - 4*t(a). What is the second derivative of u(n) wrt n?
-200*n**3
Suppose 5*x = -3*s + 1 + 13, 1 = x. Suppose -2*u + 5*u - 25 = 5*h, -20 = 4*u + 4*h. Differentiate y**2 - 2 + s + u*y**2 wrt y.
2*y
Let h(z) = -6*z**3 + 2*z**2 + 5. Let j(m) = 15*m - 18*m**3 + 16 + 7*m**2 - 15*m. Let u(x) = -7*h(x) + 2*j(x). Differentiate u(n) with respect to n.
18*n**2
Find the first derivative of k**3 - 8 - 4*k**3 - 3*k**3 wrt k.
-18*k**2
Find the third derivative of -k**2 + 5*k**2 + 3*k**5 + 13*k**2 - 8*k**2 wrt k.
180*k**2
What is the second derivative of -7*z**3 + 4*z**2 - 3*z - 10*z**2 + 6*z**2 wrt z?
-42*z
Suppose -3*k = 0, -4*k + 18 = -z - z. Let q be (-2)/z + 75/27. What is the second derivative of s**3 + 2*s - 6*s**3 + 3*s**q wrt s?
-12*s
Let y(x) be the first derivative of 29*x**6/6 + 7*x**2 + 40. Find the second derivative of y(c) wrt c.
580*c**3
Let m(x) = 63*x**3 - 6*x**2 + 7*x + 5. Let s(a) = 31*a**3 - 3*a**2 + 4*a + 2. Let i(q) = 2*m(q) - 5*s(q). Find the third derivative of i(n) wrt n.
-174
Let q(u) be the third derivative of 0*u - 1/336*u**8 + 0 + 0*u**6 + 0*u**7 + 0*u**3 + 1/60*u**5 + 2*u**2 + 0*u**4. What is the third derivative of q(r) wrt r?
-60*r**2
Suppose -3 + 19 = 4*a. Find the second derivative of -r + r**4 - 4*r**a - r**4 wrt r.
-48*r**2
Let m(z) be the second derivative of 11*z**4/12 - 9*z**2/2 - 10*z. Find the first derivative of m(a) wrt a.
22*a
Let f(k) be the first derivative of -k**6/15 + k**2/2 + 3*k + 5. Let p(h) be the first derivative of f(h). Differentiate p(t) with respect to t.
-8*t**3
Let m(a) = a**4 - a**2 - a + 1. Let r = 5 + -6. Let j(y) = 6*y**4 + y**2 + y - 5. Let c(l) = r*m(l) - j(l). What is the first derivative of c(o) wrt o?
-28*o**3
Let u(s) be the first derivative of s**6/3 - 19*s**4/4 + 3*s**2 - 4*s + 60. What is the second derivative of u(i) wrt i?
40*i**3 - 114*i
Let d be 10/4*(-8)/(-5). Find the third derivative of -2*i**4 + 2*i**5 + i**2 + 2*i**d wrt i.
120*i**2
Let z(h) be the first derivative of 0*h**5 + 0*h**3 + 0*h + 1/2*h**2 - 1/2*h**6 - 1 + 0*h**4. Find the second derivative of z(i) wrt i.
-60*i**3
Let w(c) be the second derivative of 2*c + 0*c**6 + 0*c**3 + 0 + 1/21*c**7 + 1/6*c**4 + 0*c**5 + 0*c**2. What is the third derivative of w(s) wrt s?
120*s**2
Let q(i) be the third derivative of 0*i + 3*i**2 - 1/40*i**6 + 0*i**3 - 1/15*i**5 + 0 + 0*i**4. Find the third derivative of q(h) wrt h.
-18
Let g(l) be the second derivative of 2*l + 1/2*l**2 + 0 + 1/6*l**3 - 1/24*l**4. Let w(q) be the first derivative of g(q). Differentiate w(j) with respect to j.
-1
Let r = 23 + -13. Differentiate 9 - 14*a**4 + 9*a**4 + r*a**4 wrt a.
20*a**3
What is the second derivative of 3 - 3 + 9*a**2 - 11*a - 21*a**2 wrt a?
-24
Find the third derivative of -113*h**3 - 2*h + 2*h - h**2 + 72*h**3 wrt h.
-246
Let m(p) be the third derivative of p**2 + 1/15*p**5 + 1/3*p**3 + 0*p**4 + 0*p + 0. Differentiate m(o) with respect to o.
8*o
Let i(s) be the second derivative of s**6/120 - s**5/60 + s**3/3 - s. Let z(x) be the second derivative of i(x). Find the second derivative of z(n) wrt n.
6
Find the third derivative of 12*k**4 + 6*k**2 - k**4 + 0*k**4 + 5*k**4 wrt k.
384*k
Let s = -7 + 10. Differentiate 1 + 0*l - 7*l - s*l + 6*l wrt l.
-4
What is the third derivative of 3*y**2 - y**5 + 3*y**2 - 5*y**5 wrt y?
-360*y**2
Let p(i) = 17*i**2 + 8*i. Let q(k) = -9*k**2 - 4*k. Let y(s) = 4*p(s) + 7*q(s). Find the second derivative of y(z) wrt z.
10
What is the first derivative of 1 - 3 - 5 + 8*m**4 wrt m?
32*m**3
Let v(h) be the third derivative of 11*h**5/60 + 5*h**4/6 + 2*h**2 + 2. Find the second derivative of v(u) wrt u.
22
Let i(a) be the first derivative of -a**5/60 - a**4/6 - 2*a**2 + 2. Let l(n) be the second derivative of i(n). Find the second derivative of l(p) wrt p.
-2
Differentiate -4*f + 0*f - 3*f + 8 wrt f.
-7
Let w(a) = -32*a**2 - 22*a - 17. Let b(n) = -11*n**2 - 7*n - 6. Let z(h) = -17*b(h) + 6*w(h). Find the second derivative of z(c) wrt c.
-10
Let c(b) be the third derivative of -b**6/90 + b**5/60 - b**3/2 + 5*b**2. Let y(u) be the first derivative of c(u). What is the second derivative of y(j) wrt j?
-8
Let t(n) be the second derivative of 0 + 4*n + 0*n**3 - n**2 + 5/12*n**4. What is the first derivative of t(q) wrt q?
10*q
Suppose -2*f - f = 0. Suppose 2*d - 4*a + 4 = 0, 1 + f = -3*d + a. What is the second derivative of -2*s**4 + d*s + 5*s**4 + 2*s - s**4 wrt s?
24*s**2
Let s(o) be the second derivative of 0 + 0*o**2 + 1/20*o**5 + 2*o + 0*o**4 - 1/6*o**3. What is the second derivative of s(i) wrt i?
6*i
Let x(s) = 2*s - 5. Let f(v) = v**2 + 5*v - 7. Let p be f(-7). Let l be x(p). What is the second derivative of 2*y + l*y**5 - 2*y**2 - 12*y**5 + 2*y**2 wrt y?
-60*y**3
What is the third derivative of 5*q**2 + 8*q**4 + 13*q**4 + 0*q**2 wrt q?
504*q
Suppose 4*m = 5*a + 23, 2*m + 3*a = -2*a - 11. What is the derivative of -m + 2*g + 4 - 6 + 1 wrt g?
2
Suppose -6*f + 5*f + 4*v + 20 = 0, 2*v + 10 = -4*f. Let h = 2 - 0. Find the third derivative of -k**6 - h*k**2 + f*k**5 + 0*k**5 wrt k.
-120*k**3
What is the second derivative of -h**5 + 8*h**4 - 8*h**4 - 10*h + 6*h**5 wrt h?
100*h**3
Find the third derivative of 3*n**2 - 6*n**2 - 4*n**2 - 5*n**3 wrt n.
-30
Let s(u) be the first derivative of -3*u**5/5 + 11*u - 10. What is the first derivative of s(j) wrt j?
-12*j**3
Let a(x) be the third derivative of x**8/12 - 7*x**4/24 - x**3/2 - 3*x**2 + 5*x. Find the second derivative of a(i) wrt i.
560*i**3
Let o(s) = -s. Let x be o(-7). Suppose 6*r - 3*r + 5*k - x = 0, -24 = -5*r + 4*k. Find the first derivative of -n**r - 4 - 2*n**4 + 0 wrt n.
-12*n**3
Let f(h) be the third derivative of 0*h**7 + 0*h + 0*h**6 + 0*h**3 + 0 + 5*h**2 + 1/60*h**5 + 0*h**4 - 1/84*h**8. What is the third derivative of f(l) wrt l?
-240*l**2
Let y(m) = 19*m**5 - 2*m**4 + 16*m + 2. Let r(d) = 75*d**5 - 9*d**4 + 65*d + 9. Let a(w) = 2*r(w) - 9*y(w). Find the second derivative of a(h) wrt h.
-420*h**3
Suppose -5*y + 3*y + 4 = 0. Let c(v) be the third derivative of 0*v + 0 - v**y - 1/12*v**4 + 1/6*v**3. Find the first derivative of c(f) wrt f.
-2
Let r(i) be the first derivative of -5*i + 0*i**3 + 0*i**2 - 2 + 5/4*i**4. Differentiate r(x) wrt x.
15*x**2
Let g(d) = 41*d**5 - 5*d**3 + 30*d**2 + 5. Let p(c) = 21*c**5 - 3*c**3 + 15*c**2 + 3. Let k(j) = -3*g(j) + 5*p(j). Find the third derivative of k(t) wrt t.
-1080*t**2
Let s(y) = -17*y**4 - 5*y**2 - 19*y - 5. Let r(f) = 9*f**4 + 2*f**2 + 10*f + 2. Let d(x) = 5*r(x) + 2*s(x). What is the second derivative of d(t) wrt t?
132*t**2
Let w(d) = -d**2 + 6*d + 3. Let n be w(6). Suppose 0 = -n*g - a + 23, -g - 3*a + 16 = -a. Find the third derivative of 4*h**g - 8*h**6 + h**6 - 2*h**2 wrt h.
-360*h**3
Let o be (1/(-1) + 0)*0. Suppose -5*w + 5 = o, -s = -2*w + 3*w - 3. Find the second derivative of 3*m**s - m**2 - 3*m**2 + m - 4*m wrt m.
-2
Suppose 14 = -3*y + 5*y. Let x(a) = -a**3 + 7*a**2 + 2*a - 10. Let o be x(y). What is the second derivative of -3*i - 4*i**5 + 6*i**o - i - 6*i**4 wrt i?
-80*i**3
Let x = 18/13 - 77/65. Let i(a) be the second derivative of -x*a**5 + 4*a + 0*a**2 + 0 - 1/2*a**3 + 0*a**4. What is the second derivative of i(b) wrt b?
-24*b
Let w(x) be the third derivative of -5*x**8/48 + x**4/12 + 5*x**3/6 + 23*x**2 - 2*x. Find the second derivative of w(v)