 What is the third derivative of d(l) wrt l?
18
Let y(l) = -l - 1. Let v(j) = -j**2 + 6*j + 10. Let t(u) = -v(u) - 3*y(u). Let s be t(5). Find the second derivative of -4*m**3 - 2*m**4 + 4*m**s + m wrt m.
-24*m**2
Let o(m) = m**3. Let r(w) = 21*w**3 - 19. Let h(u) = 6*o(u) + r(u). What is the first derivative of h(i) wrt i?
81*i**2
What is the third derivative of 7707*v**2 - 9*v**6 + 2*v**6 - 7712*v**2 wrt v?
-840*v**3
Let o(w) be the third derivative of w**9/15120 + w**7/5040 - w**5/15 - w**2. Let p(n) be the third derivative of o(n). Find the second derivative of p(a) wrt a.
24*a
Let t(o) = 27*o**3 + 25*o**2 + 6. Let z(l) = l**3 - 1. Let u(j) = t(j) + 6*z(j). What is the third derivative of u(p) wrt p?
198
Let f(l) be the second derivative of 11*l**4/4 + 11*l**2/2 - 31*l. Find the first derivative of f(s) wrt s.
66*s
Suppose -2*o + 3*b + 25 = 0, -2*o - 2*b + 6*b = -30. Suppose o*j + k = 9, -2*j - k = -j - 1. Find the first derivative of 1 + q - q + 3*q**j wrt q.
6*q
Let s(y) be the third derivative of 19*y**9/252 - 2*y**5/3 + 18*y**2. Find the third derivative of s(p) wrt p.
4560*p**3
Let o(w) = w + 3*w**3 + 1 - 2*w**3 + 0*w. Let f(l) = -l**4 - 3*l**3 - 3*l - 4. Let y(p) = -f(p) - 3*o(p). Differentiate y(q) wrt q.
4*q**3
Let x(p) = -5*p**4 - 6*p**3 + 6*p**2 + 6*p - 6. Let n(z) = 11*z**4 + 13*z**3 - 13*z**2 - 13*z + 12. Let f(b) = 6*n(b) + 13*x(b). Differentiate f(d) wrt d.
4*d**3
What is the second derivative of -x**2 + 20*x + 3*x**2 - 31*x**4 - 2*x**2 wrt x?
-372*x**2
Let d(r) be the second derivative of -r**7/105 - 7*r**4/24 + r**2 + 3*r. Let f(t) be the first derivative of d(t). What is the second derivative of f(l) wrt l?
-24*l**2
Let n be (16/(-6))/((-1)/3). Suppose 2*g - 6*g = -n. What is the third derivative of 0*t**6 - 3*t**2 - g*t**6 + t**2 wrt t?
-240*t**3
What is the second derivative of 4*p**5 + p + p**5 + 7*p wrt p?
100*p**3
Find the second derivative of q - 4*q**3 + 8*q**3 - 29*q + q wrt q.
24*q
What is the second derivative of -5*r**4 + 3*r**4 - r**4 + r wrt r?
-36*r**2
Find the second derivative of -3*s**3 - 36*s + 44*s - 3*s**3 wrt s.
-36*s
Let m(l) be the first derivative of -20*l**7/7 + 2*l**3/3 - 6. What is the third derivative of m(f) wrt f?
-2400*f**3
Let q(c) = -17*c**2 + 10. Let w(d) = -d**2 - 1. Let o(l) = -q(l) - 3*w(l). What is the derivative of o(r) wrt r?
40*r
Let m = -2 - -7. Find the second derivative of 2*y - 2*y - 3*y - y**m wrt y.
-20*y**3
Find the first derivative of -532*l + 6*l**2 + 38 + 264*l + 269*l wrt l.
12*l + 1
Suppose -4*q = -3*s - 2*s + 4, 4*s - q - 1 = 0. What is the second derivative of -3*x + s*x + 2*x**5 - 4*x**5 wrt x?
-40*x**3
Let a(h) be the first derivative of -3*h + 7/4*h**4 + 0*h**3 - 1 + 0*h**2. What is the derivative of a(d) wrt d?
21*d**2
Let h(i) be the third derivative of -5*i**8/336 + i**5/15 - 4*i**2. Find the third derivative of h(u) wrt u.
-300*u**2
Let u(m) be the first derivative of -9*m**3 + 3*m**2/2 - 20. What is the second derivative of u(p) wrt p?
-54
Let u = 24 - 29. Let f(t) = 3*t**3 + 3*t. Let a(m) = -m**3 - m. Let b(w) = u*a(w) - f(w). Find the second derivative of b(s) wrt s.
12*s
Suppose 0*x + 3 = x. What is the third derivative of -2*i**2 - x*i**5 - 3*i**2 + 0*i**2 + 3*i**2 wrt i?
-180*i**2
Suppose -4 - 4 = -3*h + s, -4 = -2*h + s. Let i = h - -4. Find the second derivative of -y**5 - y**5 - i*y + 10*y wrt y.
-40*y**3
Let y = 7 - 5. Let s(w) be the second derivative of -2*w - 1/20*w**5 - w**y + 0*w**4 + 0*w**3 + 0. Differentiate s(f) wrt f.
-3*f**2
Let o(j) = -j**3 - j**2 - j. Let m(g) = -10*g**2 + 7*g. Let w(r) = 2*m(r) + 14*o(r). What is the third derivative of w(i) wrt i?
-84
Suppose 6*i = 8*i - 4. Suppose 0 = -4*o - i*n + 5*n + 20, 2*o = n + 8. What is the second derivative of 2 - 2 - 2*p**o + 2*p wrt p?
-4
What is the second derivative of 68*n - 80*n + 24*n**5 + 36*n wrt n?
480*n**3
Find the second derivative of 11 + 11*w - 11 - 3*w - 18*w**3 wrt w.
-108*w
Suppose i + g - 2 = -3, i = 4*g + 14. Suppose -i*m = -6*m + 8. Find the first derivative of -r - m + 0*r + 1 wrt r.
-1
Suppose 0 = 4*x - 2*x + 3*k - 194, 4*x = -2*k + 388. Suppose -4*j + x - 9 = 4*p, 22 = p + 4*j. What is the derivative of p*a**3 - 2 - 4*a**4 - 22*a**3 wrt a?
-16*a**3
Let i(h) = -2*h - 1. Let a be i(-2). Suppose 5 = 8*q - a*q. Find the first derivative of q - c**4 + 0*c**4 - 4*c**4 + 2*c**4 wrt c.
-12*c**3
Let s(v) be the third derivative of 0*v + 0*v**4 + 0*v**6 - 1/105*v**7 + 0*v**3 + 0 - v**2 + 1/60*v**5. Find the third derivative of s(r) wrt r.
-48*r
Let c(z) be the second derivative of 19*z**6/10 + 5*z**3/2 - 2*z + 46. Find the second derivative of c(b) wrt b.
684*b**2
Suppose 0*r + r - 8 = -2*l, 5*l - 4*r = 7. What is the derivative of 0 - 1 - 1 + 3 + 3*x**l wrt x?
9*x**2
Suppose 0*k - k = 0. Let n(c) be the first derivative of c**2 - 3/5*c**5 + 3 + 0*c**3 + 0*c**4 + k*c. Find the second derivative of n(g) wrt g.
-36*g**2
Suppose -3 + 2 = -3*l + 4*d, 5*d = 3*l - 2. Let i(j) = -1. Let q(g) = -g + 3. Let a(u) = l*q(u) - i(u). What is the derivative of a(n) wrt n?
1
Let k(c) = c**2 + c - 1. Let t(w) = 4*w**3 - 5*w**2 - 5*w + 1. Let y(v) = -10*k(v) - 2*t(v). Differentiate y(s) wrt s.
-24*s**2
Suppose 0*d - 2*d = -24. Suppose k - 2*k - 2*i = -12, -4*i + d = -4*k. Differentiate 0*t**k + 4*t**2 - 5*t**2 - 3 wrt t.
-2*t
Suppose 8 + 0 = 2*v. What is the derivative of -m**4 + m**4 + 5*m**v - 3 wrt m?
20*m**3
Let f(l) = -4*l**3 + 18*l**2 - 4*l. Let r(k) = -4*k**3 + 17*k**2 - 3*k. Let h(j) = -3*f(j) + 4*r(j). Find the third derivative of h(w) wrt w.
-24
Let g(l) be the third derivative of -2*l**5/3 - 19*l**3/3 + 3*l**2. Differentiate g(b) wrt b.
-80*b
Let n be 6/(-4)*(-4)/3. Suppose 0*d = -d + 5*w + 10, 2*d + n = -w. What is the second derivative of 2*v - 3*v + d*v**3 + v**3 wrt v?
6*v
Let r(h) = -71*h**5 + 11*h**3 + 89*h**2. Let u(i) = -36*i**5 + 6*i**3 + 45*i**2. Let o(j) = 6*r(j) - 11*u(j). What is the third derivative of o(p) wrt p?
-1800*p**2
Let w(o) be the third derivative of -o**8/84 + 3*o**4/8 - 2*o**2. Find the second derivative of w(v) wrt v.
-80*v**3
Let u(f) = -f. Let i(w) = -3*w - 5. Let s(h) = -i(h) + 4*u(h). Differentiate s(o) with respect to o.
-1
Let p(w) be the first derivative of 7*w**6/6 + 3*w**3 + 8. Find the third derivative of p(h) wrt h.
420*h**2
Let u be ((-45)/(-10))/((-1)/(-10)). What is the derivative of -45*c**2 + u*c**2 + 3*c**3 - 1 wrt c?
9*c**2
Let p(t) be the second derivative of -2*t**4/3 - 7*t**2 + 20*t. Find the first derivative of p(m) wrt m.
-16*m
Let j be (-4)/8 + (-9)/(-2). Suppose j = k - 0. What is the second derivative of -y**4 - 2*y - 2*y**4 + y**k wrt y?
-24*y**2
What is the first derivative of -22 + 6*m + 9 + 5 wrt m?
6
Let l(k) = k**3 + 11*k**2 + 4. Let z(o) = o**2 + 9*o - 3. Let n be z(-8). Let j be l(n). What is the second derivative of -1 + 0*p**4 + 3*p - 4*p**j + 1 wrt p?
-48*p**2
Let b(z) be the second derivative of -z**8/28 - 17*z**4/12 + 7*z. Find the third derivative of b(m) wrt m.
-240*m**3
Suppose 3*n = 5*h + 38, -2*n + 3*h = -6 - 18. Suppose n = 2*x + x. What is the third derivative of -x*d**4 - 18*d + 2*d**2 + 18*d wrt d?
-48*d
Let r = 3 - -2. What is the third derivative of 2*s**2 - 2*s**r + s + 3*s - 4*s wrt s?
-120*s**2
Let n(q) be the second derivative of 2/3*q**3 + 1/12*q**4 + 5*q + 0*q**2 + 0. What is the second derivative of n(m) wrt m?
2
Let j(z) = 6*z**5 + 3*z - 3. Suppose 15 = -3*y - 2*y. Let h(x) = -6*x**5 - 2*x + 4. Let p(n) = y*h(n) - 4*j(n). Find the second derivative of p(f) wrt f.
-120*f**3
What is the third derivative of 3*b**3 - 4*b**3 - 4*b**3 + 3*b**2 - b**3 wrt b?
-36
Let q(p) = 2*p**2. Let y(x) = -9*x**2 + x. Let b(o) = -6*q(o) - 2*y(o). What is the second derivative of b(i) wrt i?
12
Let f(q) be the third derivative of 0*q**3 + 0*q**4 + 1/10*q**5 + 0*q + 0 + 1/40*q**6 - 2*q**2. What is the third derivative of f(v) wrt v?
18
Find the first derivative of -6*n + 4 - 35*n + 18 + 25 wrt n.
-41
Let i(h) be the first derivative of -3*h**2/2 + h - 6. What is the derivative of i(p) wrt p?
-3
Let u(h) = -1. Let g be 6/(-3)*(0 - 3). Let m(k) = 1 + 2*k**3 - 2 - k**3 + 3. Let y(o) = g*u(o) + 2*m(o). Differentiate y(l) with respect to l.
6*l**2
Let n(i) be the third derivative of 7*i**4/12 - i**3/3 - 4*i**2. Differentiate n(j