Let k(c) be the first derivative of c**6/15 - c**3/6 - c + 3. Let l(v) be the first derivative of k(v). What is the second derivative of l(b) wrt b?
24*b**2
Let l(a) = -12*a**4 - 5*a - 6. Let k(c) = 11*c**4 + 4*c + 5. Let t(v) = 6*k(v) + 5*l(v). What is the second derivative of t(r) wrt r?
72*r**2
Let b = 17 - 14. What is the third derivative of -26*o + 9*o**b - 3*o**2 + 26*o wrt o?
54
Find the third derivative of l**3 - 7*l**3 - 15*l**2 + 15*l**2 + 18*l**2 wrt l.
-36
What is the third derivative of -m**6 + 12*m**2 + 5*m**6 - 17*m**6 wrt m?
-1560*m**3
Let n = 27 + -53/2. Let u(g) be the first derivative of 0*g**2 + 0*g + n*g**4 - 1/3*g**3 + 2. Find the third derivative of u(r) wrt r.
12
Let j(w) = -w**3 + w**2 + 2*w. Let p be j(2). Find the second derivative of d**3 + 4*d - d**3 + p*d**3 - 4*d**3 wrt d.
-24*d
Suppose a + 12 = 4*y, 2*y + 3 = 3*y - 3*a. Suppose -y*i + 6 = 3. What is the derivative of -v + 1 - i + 2 wrt v?
-1
Let c(a) be the second derivative of 0 + 3/20*a**5 + 0*a**3 + 0*a**4 + 2*a**2 - a. Differentiate c(o) with respect to o.
9*o**2
Let c be 27/45 + (-14)/(-10). Find the first derivative of 4*m - 2 + 0 - c*m wrt m.
2
Let y(s) be the third derivative of 0*s**7 + 0 + 0*s**6 + 0*s**4 - s**2 + 0*s - 1/336*s**8 + 0*s**3 + 1/20*s**5. Find the third derivative of y(n) wrt n.
-60*n**2
Let f(b) be the first derivative of -b**3/3 - b + 1. Let h(r) = -r**4 - 4*r**2 - 2. Let c(w) = 2*f(w) - h(w). Find the third derivative of c(p) wrt p.
24*p
Let s(g) be the first derivative of -g**8/560 + g**4/24 + 4*g**3/3 + 7. Let f(j) be the third derivative of s(j). Differentiate f(n) wrt n.
-12*n**3
Let h(l) be the second derivative of -1/6*l**4 + 0*l**2 + 0 + 1/3*l**3 + l. What is the second derivative of h(k) wrt k?
-4
What is the third derivative of -2*m**5 + 10*m**2 + 15*m**2 + 21*m**5 wrt m?
1140*m**2
Let r(x) = 8*x**2 - x + 6. Suppose 0 = g - 9 + 3. Let k(s) = 7*s**2 - 2*s + 5. Let j(c) = g*k(c) - 5*r(c). Find the second derivative of j(w) wrt w.
4
Suppose -3 = -2*v + 7. Suppose 2*s + 12 = 4*s + 2*i, v*s - 12 = i. What is the second derivative of 3*y - y**5 - s*y + y wrt y?
-20*y**3
Let n(j) be the third derivative of -23*j**8/168 + 47*j**5/60 - 40*j**2. Find the third derivative of n(p) wrt p.
-2760*p**2
Let j(x) = x**3 - 9*x**2 + 7*x + 9. Let a be j(8). What is the derivative of -25*z**2 - 3*z**4 - a + 25*z**2 + 2 wrt z?
-12*z**3
Let p(y) = y**2 - y - 1. Let h(g) = 13*g**3 + g**2 + g + 5. Let s(a) = -h(a) + p(a). What is the first derivative of s(i) wrt i?
-39*i**2 - 2
Let v(w) be the second derivative of 1/6*w**4 + 0 + 0*w**2 + 2*w + 1/6*w**3. What is the second derivative of v(l) wrt l?
4
What is the second derivative of -11*a**4 + a - 5*a**5 + 5*a**4 + 6*a**4 wrt a?
-100*a**3
Let l(a) = a**3 + 7*a**2 - 2*a - 10. Let k be l(-7). Differentiate -k*c**3 + 1 + 3*c**3 + 1 wrt c.
-3*c**2
Let o(f) be the third derivative of -f**7/840 + f**6/120 - f**3/6 + 3*f**2. Let a(c) be the first derivative of o(c). Find the third derivative of a(v) wrt v.
-6
What is the second derivative of -9*g**5 + 2*g**5 + 11*g**5 - 9*g wrt g?
80*g**3
Let v(k) be the first derivative of -k**6/6 + 11*k**4/4 - 8*k**3/3 - 7. Find the third derivative of v(w) wrt w.
-60*w**2 + 66
Let p be (-37)/(-6) + (-3)/18. Find the second derivative of -p*n**4 + n**4 + 3*n**4 + 7*n + n**4 wrt n.
-12*n**2
What is the third derivative of 17*p**3 - 21*p**2 + 9*p**3 - 7*p**3 + 6*p**2 wrt p?
114
Find the third derivative of 6*k**3 - 7*k**5 - k**3 + 5*k**2 - 5*k**3 wrt k.
-420*k**2
Suppose t + 6 = 4*t. Suppose -5 + 3 = -t*m. Differentiate 1 - m + 2 + 2*y**2 wrt y.
4*y
Let h(o) be the first derivative of 29*o**2/2 + 12*o - 3. Find the first derivative of h(l) wrt l.
29
What is the second derivative of 18*l**2 - 20*l - 18*l**2 + 61*l - 13*l**3 + 2 + 2*l**4 wrt l?
24*l**2 - 78*l
Suppose 0*b - 3*b = 3*d - 24, 2*d = -b + 11. What is the second derivative of -4*p**b + 0*p + 2*p**5 - p**5 + 2*p wrt p?
-60*p**3
Suppose -5*q + v + 3*v = -23, -3*q + 4*v = -17. Let k = q - 1. Differentiate -b**3 - k*b**3 - 1 - b**3 + 0*b**3 with respect to b.
-12*b**2
Let w(h) = 0*h + 2*h - 7 - 8*h + 4. Let m(r) = -17*r - 8. Suppose 9*q - 4*q + 55 = 0. Let s(l) = q*w(l) + 4*m(l). Differentiate s(v) with respect to v.
-2
Let s be (-3)/(-2) + 2/4. Let v be ((-4)/(-5))/(s/5). What is the second derivative of -o**5 + 2*o + v*o**5 + 0*o - o wrt o?
20*o**3
Let s(u) be the first derivative of -2*u**3 + 3*u**2/2 + 37*u - 37. What is the first derivative of s(g) wrt g?
-12*g + 3
Find the third derivative of -11*z**2 - 9*z**2 + 2*z**2 + 5*z**2 - 13*z**3 wrt z.
-78
Let t(p) be the first derivative of -12*p**5/5 + 17*p - 17. What is the first derivative of t(n) wrt n?
-48*n**3
Let p be 18/8*(-12)/(-9). Find the second derivative of -4*g**3 + 2 + 2*g - 2*g**p - 2 wrt g.
-36*g
Let q be -2*2/2 - -6. Suppose q*l = 17 - 5. Find the third derivative of 2*x**2 - 3*x**2 - 2*x**3 + x**l wrt x.
-6
Suppose 3*b = b + 5*n + 4, 4*n = b - 2. What is the derivative of -6 - 43*a - 5*a**b + 43*a wrt a?
-10*a
Suppose 3*o + 3*q = 9, 4*q + 0 - 8 = -2*o. What is the derivative of o*t**4 + 114 + t**4 - 115 wrt t?
12*t**3
Let x be 4 - (-2)/(-3)*3. Suppose 3*g + 23 = 4*j + 8*g, -2*j = 4*g - 16. Find the first derivative of -j + x - c + 1 wrt c.
-1
Let n(d) be the second derivative of 7*d**6/30 + 11*d**3/6 + 9*d. What is the second derivative of n(l) wrt l?
84*l**2
Let x(m) = 2*m**3 - m + 1. Let c be x(1). Let j(b) = b + 1. Let v be j(3). What is the second derivative of a - 2 + c + a**v wrt a?
12*a**2
Let k(t) be the second derivative of -1/3*t**3 + 0 - 8*t + 0*t**4 + 0*t**2 + 9/20*t**5. Find the second derivative of k(f) wrt f.
54*f
Let x(v) be the first derivative of v**3 - 2 + 0*v + 1/2*v**2. Find the second derivative of x(u) wrt u.
6
What is the second derivative of -2*u**4 - 2*u + 10*u - 2*u - 5*u**4 wrt u?
-84*u**2
Suppose 2 = -2*r - 2*l - 0, -r = 2*l + 3. Let u be (1/r + -11)/(-2). Find the third derivative of u*i - i**4 - 5*i + i**2 wrt i.
-24*i
Let h(y) = 115*y + 148. Let k(p) = -39*p - 49. Let q(c) = 4*h(c) + 11*k(c). Find the first derivative of q(b) wrt b.
31
Let h(z) be the second derivative of -3*z**8/56 - 19*z**4/12 - 34*z. What is the third derivative of h(g) wrt g?
-360*g**3
Find the third derivative of 9*f**3 + 4056*f + 8*f**3 - 4056*f + 29*f**2 wrt f.
102
Let x = 0 - 8. Let z = 12 + x. What is the third derivative of t**2 - z*t**4 - 4*t**2 + 0*t**2 + 2*t**4 wrt t?
-48*t
Find the second derivative of -24*s**5 + 47*s**5 - 10*s - 22*s**5 wrt s.
20*s**3
What is the second derivative of c**2 + 37*c**2 + 30*c - 15*c**2 wrt c?
46
Let h(s) be the second derivative of -2*s**7/7 + s**4/4 + s**3/3 + 7*s**2/2 + 31*s - 2. What is the second derivative of h(d) wrt d?
-240*d**3 + 6
Let i be -1 + (4/2 - 0). Suppose q = -i + 2. Find the first derivative of -2*y**2 + q + 3 + 0*y**2 wrt y.
-4*y
Let q(k) = -19*k + 9. Let b(o) = -o - 1. Let v(m) = 6*b(m) - q(m). Differentiate v(u) wrt u.
13
Let a(o) be the third derivative of 3*o**2 + 0 + 0*o**4 + 1/3*o**3 + 0*o - 1/15*o**5. What is the derivative of a(n) wrt n?
-8*n
Let u(n) be the second derivative of -1/4*n**4 - 1/10*n**5 + 0*n**3 + n + 0*n**2 + 0. What is the third derivative of u(w) wrt w?
-12
Let f = 5 - 3. Suppose -f*z + 1 = -3. What is the second derivative of -5*i**4 + 4*i**4 + 3*i**4 - z*i wrt i?
24*i**2
What is the second derivative of 1323*r - 1332*r + 19*r**3 + r**2 - r**2 wrt r?
114*r
Let s(a) = -17*a - 7. Let v(c) be the first derivative of 4*c**2 + 3*c - 1. Let f(b) = 6*s(b) + 13*v(b). Find the first derivative of f(o) wrt o.
2
Let j(c) be the second derivative of -c**4/6 + c**3/6 - 2*c. Let w(a) = -2*a**2 + a. Let o(m) = -3*j(m) + 2*w(m). What is the second derivative of o(b) wrt b?
4
Let h(x) = x**2 - 12*x + 3. Let i be h(12). What is the second derivative of 25*z**3 - 25*z**i - z**5 - 3*z**5 + 11*z wrt z?
-80*z**3
Let g be (5/(-35))/((-8)/28). Let b(p) be the second derivative of -3*p + 0 - p**2 + g*p**3. Differentiate b(r) wrt r.
3
What is the second derivative of 16*r**3 - 5*r + 3*r**3 + 4*r + 5*r wrt r?
114*r
Let o(g) be the first derivative of 5*g**6/3 - 5*g**2 + 5. Find the second derivative of o(l) wrt l.
200*l**3
Let c(t) be the second derivative of -9*t**5/10 - 14*t**3/3 - 21*t.