o**2 wrt o.
36
What is the third derivative of 176*d**2 + 14*d**3 - 87*d**2 + 1 - 53*d**3 - 83*d**2 wrt d?
-234
Let o(n) = -4 + 4 - n**5 + 3*n. Let k(v) = 6*v**3 - 5*v**5 + 16*v + 5*v**3 - 11*v**3. Let d(p) = 6*k(p) - 33*o(p). What is the second derivative of d(f) wrt f?
60*f**3
Let w(z) be the second derivative of 3*z**5/5 + 5*z**4/12 - 14*z. What is the third derivative of w(u) wrt u?
72
Let t(w) = w**2 - w - 1. Let y(a) = 6*a**3 + 4*a + 4. Let m(i) = 4*t(i) + y(i). What is the third derivative of m(d) wrt d?
36
Let n(k) = 0 + k - 5 + 3 + 3. Let j be n(3). What is the third derivative of 4*h**2 - 2*h**4 + 0*h**4 + 3*h**j wrt h?
24*h
Let l = -7 - 1. Let n be ((-4)/(-5))/(l/(-20)). Find the third derivative of -j**4 + 0*j**4 + 5*j**n - 2*j**2 wrt j.
-24*j
Let t(j) = j**3 + 4*j**2 - 8*j - 4. Let b be t(-5). Let r = b - 6. What is the second derivative of 12*k**4 - 2*k - 2*k**r - 12*k**4 wrt k?
-40*k**3
Let f(u) be the third derivative of 0*u**6 + 7*u**2 + 0*u**3 + 0*u + 0*u**5 + 0 - 2/105*u**7 - 5/24*u**4. What is the second derivative of f(r) wrt r?
-48*r**2
Let d(b) be the first derivative of -b**4/4 + 5*b**3/3 - b**2 - 4*b - 1. Let s be d(4). What is the first derivative of 1 - w**3 - w**s + w**3 wrt w?
-4*w**3
Let b(m) = -29*m**3 + 38*m**2 + 5*m + 5. Let h(n) = -30*n**3 + 39*n**2 + 6*n + 6. Let a(f) = -6*b(f) + 5*h(f). Find the third derivative of a(k) wrt k.
144
Suppose i - 4*i = -15. Let s(p) = -p**2 + 5*p + 2. Let y be s(i). What is the third derivative of 3*l**2 - y*l - 3*l**5 - 6*l**2 + 2*l wrt l?
-180*l**2
Let b(a) = a**2 - a. Let h be b(2). Find the first derivative of j**3 - h*j**3 - 2*j**2 + 2*j**2 + 2 wrt j.
-3*j**2
Find the second derivative of 3*r - r**5 + 47*r**5 - 39*r wrt r.
920*r**3
Let k(q) = 2*q**2 - 2*q. Let z(a) = 0*a**2 + 2*a - a - a**2. Let d(h) = -3*k(h) - 4*z(h). Find the second derivative of d(r) wrt r.
-4
Let v(a) be the first derivative of -11*a**2/2 - 6*a + 20. What is the derivative of v(r) wrt r?
-11
Let n be ((-4)/3)/((-4)/6). What is the second derivative of 4 - 4 - 4*g**5 - n*g + 4*g wrt g?
-80*g**3
What is the third derivative of -10*i**2 + 11*i**5 + 9*i**4 - 6*i**4 - 3*i**4 wrt i?
660*i**2
Suppose 4*a = 10 + 2. What is the second derivative of -4*b + 2*b**a - 4*b + 4*b**3 wrt b?
36*b
Let f(j) be the second derivative of 4*j**7/21 - j**4/12 - 6*j. What is the third derivative of f(c) wrt c?
480*c**2
Suppose -s - 2 = -5*q, 0*q = -2*q - 4*s - 8. Let r(u) be the first derivative of 4/5*u**5 - 4*u + 0*u**4 + 4 + q*u**3 + 0*u**2. Differentiate r(o) wrt o.
16*o**3
Suppose t - 6*t + 10 = 0. Let v(u) be the third derivative of -1/24*u**4 - 1/2*u**3 + 0*u + 0 - 2*u**t. Differentiate v(b) wrt b.
-1
Find the third derivative of -7*y**2 + 7*y**2 - 5*y**2 + 8*y**3 wrt y.
48
Differentiate 5 - 17 - 15*h**4 - 12*h**4 - 25 with respect to h.
-108*h**3
Let s(t) = -14*t**3 - 5*t**2 + 5*t + 10. Let j(i) = -13*i**3 - 4*i**2 + 4*i + 10. Let o(h) = 5*j(h) - 4*s(h). Differentiate o(u) with respect to u.
-27*u**2
Find the third derivative of 7*h**2 + 3*h**4 - 5*h**4 - 3*h**4 wrt h.
-120*h
Find the second derivative of -5*s - 4*s**4 - 23 + 23 wrt s.
-48*s**2
Let x = -3 + 6. Find the first derivative of 5 - x - 2 - 5*c**4 + 4 wrt c.
-20*c**3
Let p(c) be the second derivative of 4*c**7/21 + 4*c**3/3 + 8*c. Find the second derivative of p(o) wrt o.
160*o**3
Let m(n) be the third derivative of n**7/280 + n**4/24 + n**3/6 - 3*n**2. Let h(r) be the first derivative of m(r). What is the derivative of h(p) wrt p?
9*p**2
Let x(u) be the second derivative of 3*u**2 + 0*u**4 + 0 - 5*u + 1/20*u**5 + 0*u**3. What is the first derivative of x(l) wrt l?
3*l**2
Let d(s) be the first derivative of 4/3*s**3 + 0*s**4 + 3/7*s**7 + 0*s**6 - 3 + 0*s**2 + 0*s + 0*s**5. Find the third derivative of d(u) wrt u.
360*u**3
Let i(q) = -31*q**2 - 4*q - 5. Let m(v) = 31*v**2 + 3*v + 4. Let b(u) = -2*i(u) - 3*m(u). What is the second derivative of b(t) wrt t?
-62
Find the first derivative of -c**2 - 8*c**2 + 4 - 8 - 2*c**2 wrt c.
-22*c
Suppose -4*a + 60 = -2*a. Differentiate 3*s**2 + a*s**4 - 40*s**4 - 3*s**2 + 7 with respect to s.
-40*s**3
Let m(k) be the first derivative of 3/2*k**2 - 2 - 4*k. What is the derivative of m(j) wrt j?
3
Let y(l) be the third derivative of -2*l**2 + 0*l + 0*l**4 - 1/3*l**3 + 0 + 1/20*l**5. Differentiate y(k) with respect to k.
6*k
Let a(p) be the first derivative of 0*p**2 + 2 - 1/5*p**5 + 0*p**4 + 0*p**3 - p. What is the derivative of a(g) wrt g?
-4*g**3
Let a(v) = -90*v**5 - 60*v**3 - 10*v**2 - 60. Let c(n) = n**5 + n**3 + 1. Let f(s) = a(s) + 60*c(s). Find the third derivative of f(m) wrt m.
-1800*m**2
Let m(t) be the third derivative of -t**7/105 + t**3 - 10*t**2. Find the first derivative of m(h) wrt h.
-8*h**3
Let b(r) = r**3 + 8*r**2 - 2*r - 7. Let d be b(-8). Differentiate d*v**3 - v + v + 5 - 4*v**3 with respect to v.
15*v**2
Let h(a) be the third derivative of -a**8/1680 - a**6/45 + a**3 - 5*a**2. Let d(p) be the first derivative of h(p). What is the third derivative of d(n) wrt n?
-24*n
Let n(t) = 2*t**2 - 13*t + 25*t + 16 - 6. Let d(q) = -q**2 - 5*q - 4. Let l(f) = 12*d(f) + 5*n(f). Differentiate l(z) with respect to z.
-4*z
Find the third derivative of 0 - 5*u**3 - 18*u**3 + 2 + 3*u**2 - 8 wrt u.
-138
Let h(w) be the second derivative of -3*w**5/10 + w**2/2 + 6*w. Find the first derivative of h(v) wrt v.
-18*v**2
Suppose -y - 3*y = -12. Let h = -1 + y. Find the first derivative of a + 0 + 3*a + h - 2*a wrt a.
2
Let b(m) be the third derivative of 0*m**3 + 0*m + 0*m**4 + 0 + 6*m**2 - 1/40*m**6 + 1/10*m**5. Find the third derivative of b(s) wrt s.
-18
Let a(p) = -17*p**4 + 3*p - 20. Let y(c) = 86*c**4 - 16*c + 100. Let g(t) = -16*a(t) - 3*y(t). Differentiate g(i) wrt i.
56*i**3
Let f = 8 + -5. What is the third derivative of -3*o**2 - f*o**3 + 3*o**3 + 4*o**5 wrt o?
240*o**2
Let i(c) = -2*c + 18. Let z(x) = 4*x - 36. Let q(v) = -11*i(v) - 6*z(v). What is the derivative of q(d) wrt d?
-2
What is the first derivative of 2*f - 2*f - 4*f**2 - 11 + 5 wrt f?
-8*f
Let l(o) be the second derivative of 7*o**5/4 + 17*o**2/2 + 34*o. What is the first derivative of l(r) wrt r?
105*r**2
Let n(z) = -8*z**2 - 2*z - 11. Let r(c) = -32*c**2 - 9*c - 43. Let g(a) = -9*n(a) + 2*r(a). What is the first derivative of g(q) wrt q?
16*q
Suppose 3*f - 6 - 3 = 0. Let w be (0/(-2))/((-3)/f). Find the second derivative of w*h + h**4 + 0*h + h wrt h.
12*h**2
Let y = 107 - 104. Let u(n) be the second derivative of y*n - 1/2*n**2 - 2/3*n**3 + 0. Find the first derivative of u(l) wrt l.
-4
What is the third derivative of 27*y**3 - 14*y**2 - 5*y**2 - 6*y**2 + 20*y**2 wrt y?
162
Let z(m) = -4 + 16*m**2 - 12 + 0. Let b(r) = -5*r**2 + 5. Let q(l) = -20*b(l) - 6*z(l). What is the derivative of q(d) wrt d?
8*d
Suppose 6 = 2*v - 6. Differentiate -v + y + 3 + 5 wrt y.
1
Let p(a) be the second derivative of 9*a**5/20 - 5*a**4/12 + 7*a. Find the third derivative of p(k) wrt k.
54
Let v(g) = -g**4 + g**3 + g**2 - 1. Let x(s) = -8*s**4 + 2*s**3 + 2*s**2. Let u(c) = 2*v(c) - x(c). What is the derivative of u(h) wrt h?
24*h**3
What is the third derivative of -41*p**4 + 81*p**4 + 5*p**5 + 8*p**2 - 40*p**4 wrt p?
300*p**2
Let w(g) = -10*g**2 + 39. Let h(n) = -n**2 - 1. Let m(t) = h(t) - w(t). Differentiate m(u) wrt u.
18*u
Let g = 117 + -65. What is the derivative of -w**4 - g*w + 8 + 52*w wrt w?
-4*w**3
Let a(u) be the first derivative of -10*u**3/3 + 7*u**2 + 30. What is the second derivative of a(i) wrt i?
-20
Let t(l) = -46*l**2 - 2*l + 11. Let y(d) = 91*d**2 + 5*d - 21. Let q(f) = 5*t(f) + 2*y(f). Differentiate q(a) with respect to a.
-96*a
Let z be (-2)/(-8) + (-54)/24. Let b be 1 + (z - (-5 + 1)). What is the derivative of b - 2 + 2*h - h wrt h?
1
Let f(b) be the third derivative of b**6/120 - 3*b**5/20 - 29*b**2. What is the third derivative of f(j) wrt j?
6
Let t(y) be the first derivative of y**5 + 0*y**4 + 0*y + 7/3*y**3 - 6 + 0*y**2. Find the third derivative of t(f) wrt f.
120*f
Find the second derivative of 51*o**5 - 38*o - 49*o**5 + 30*o**5 wrt o.
640*o**3
Find the third derivative of -5*u**3 + 24 - 14 - 10 - 6*u**2 wrt u.
-30
Let b(k) = 10*k**2 + 18*k. Let l(u) = -20*u**2 - 36*u. Let h(n) = 13*b(n) + 6*l(n). What is the second derivative of h(t) wrt 