- 5. Let x(q) = l*y(q) - 2*o(q). What is the derivative of x(a) wrt a?
-6*a
What is the second derivative of s**2 - 14*s**2 - s + 6*s wrt s?
-26
Let m(c) = 2*c - 2. Let j be 12/2*(-2)/(-3). Let y(o) = -5*o + 4*o + 5 - j*o. Let b(l) = -8*m(l) - 3*y(l). What is the first derivative of b(a) wrt a?
-1
Let p be (-1 - 1) + 2 - 3. Let q(b) = -12*b - 20. Let u(h) = 4*h + 7. Let d(l) = p*q(l) - 8*u(l). Differentiate d(x) wrt x.
4
Let f(i) be the first derivative of -i**2/2 + i - 6. Let v(t) = -t + 4. Let q(m) = -3*f(m) + v(m). What is the derivative of q(r) wrt r?
2
Let j(d) = -7*d**4 - 3 - 2 - 3*d - 2 + 0 + 19*d**5. Let a(z) = -9*z**5 + 3*z**4 + 2*z + 3. Let x(g) = 7*a(g) + 3*j(g). Find the second derivative of x(w) wrt w.
-120*w**3
Let m(u) be the third derivative of 0*u**3 - 1/60*u**5 + 0*u - u**2 + 0 + 1/40*u**6 + 0*u**4. What is the third derivative of m(t) wrt t?
18
Let f(x) = x + 10. Let r be f(-8). What is the derivative of r + 0 - 4*k**2 + k**2 + 2*k**2 wrt k?
-2*k
Let l(u) = -u**3 - u**2 + u + 5. Let q be l(0). Find the second derivative of 0*m**q + 2*m - m + m**5 wrt m.
20*m**3
Let l(v) be the second derivative of v**9/252 + v**5/30 - v**2 + v. Let m(d) be the first derivative of l(d). What is the third derivative of m(c) wrt c?
240*c**3
Let x(l) = 4*l**2 + 5*l - 4. Let y(k) = -3*k**2 - 6*k + 5. Let q(u) = 5*x(u) + 4*y(u). What is the second derivative of q(s) wrt s?
16
Let x(z) be the third derivative of 7*z**5/120 - z**4/12 + 3*z**3/2 + 7*z**2. Let i(t) be the first derivative of x(t). What is the derivative of i(c) wrt c?
7
Find the second derivative of -2*l**5 - l**5 - 19*l**5 - 11*l wrt l.
-440*l**3
Let n be 0/(-4) - (-3 - -1). Differentiate 3 - 5 + 4*l - n*l wrt l.
2
Find the second derivative of w + w - 11*w**2 + 15*w**2 wrt w.
8
Suppose 5*i - 2*q = 0, 13 = i + 3*i + q. Let f(k) be the first derivative of 0*k**i - k - 1/5*k**5 + 0*k**3 - 1 + 0*k**4. Differentiate f(m) wrt m.
-4*m**3
Let d(s) = -6*s**3 + 4*s. Let q = -11 - -5. Let r(l) = -3*l**3 + 2*l. Let g(w) = q*d(w) + 11*r(w). What is the second derivative of g(j) wrt j?
18*j
Let p = -17 - -23. Let c(q) = 2*q**2 + q - 6. Let w(b) = -b**2 - b - 1. Let n(g) = p*w(g) - c(g). What is the second derivative of n(a) wrt a?
-16
Let j(k) be the first derivative of 2*k**2 - 3*k - 4 + 1/3*k**3. Let b(u) be the first derivative of j(u). Differentiate b(m) wrt m.
2
What is the third derivative of -174*y**6 - 185*y**6 - 24*y**2 + 368*y**6 wrt y?
1080*y**3
Let m(h) be the third derivative of 1/70*h**7 - 3*h**2 + 0*h**6 + 0*h + 1/8*h**4 + 0 + 0*h**5 + 0*h**3. What is the second derivative of m(z) wrt z?
36*z**2
Let n(q) be the second derivative of 0*q**3 - 8*q - 5*q**2 + 0 + 7/12*q**4. What is the derivative of n(x) wrt x?
14*x
Let b(k) = 6*k**4 - k**2 - 8. Let j = 5 + -13. Let c(a) = -2*a**4 + 3. Let r(i) = j*c(i) - 3*b(i). Find the third derivative of r(y) wrt y.
-48*y
Let i(q) = q**4 + q**3 - q**2 + 1. Let o(r) = -6*r**4 - 8*r**3 + 5*r**2 - 59. Let f(m) = 5*i(m) + o(m). Find the first derivative of f(z) wrt z.
-4*z**3 - 9*z**2
Suppose 2*s = 5*o - 1, 4*o - o - 3 = 0. What is the third derivative of r**5 + 5*r**5 + 4*r**5 - 7*r**5 + r**s wrt r?
180*r**2
Differentiate -2 + 3*x**3 - 4*x**3 + 4*x**3 wrt x.
9*x**2
Find the second derivative of -o**2 + 3*o - 8*o + 6*o - 3*o**2 wrt o.
-8
Let z(g) be the second derivative of 0*g**3 + 0*g**5 - 1/28*g**8 + 1/12*g**4 + 0*g**6 + 0*g**7 + 0*g**2 + 0 + 2*g. What is the third derivative of z(u) wrt u?
-240*u**3
Suppose 4*c = 3*n + 11, 5*n - 3*c + c - 5 = 0. Find the first derivative of 0*d - n - d + 3*d - 5*d wrt d.
-3
Suppose -5*g + t = -3*t - 6, -3*g = -t + 2. Let y be 3 + (g - 0) + 1. What is the first derivative of -1 - y + i + 2 wrt i?
1
Find the second derivative of -7*l**2 + 2*l - 6*l - 4*l + 2*l wrt l.
-14
What is the second derivative of n - 2*n**2 - 4*n + n**2 - n wrt n?
-2
Suppose -5*m - 2*u = 54, 3*m + u = -2*m - 57. Let h be ((-10)/15)/(2/m). Find the third derivative of 10*o**6 - 12*o**6 + o**2 + h*o**2 wrt o.
-240*o**3
Let q(x) be the first derivative of 12*x**5/5 + 10*x - 8. Find the first derivative of q(k) wrt k.
48*k**3
Find the second derivative of b**4 - b**4 - 7*b**5 + 12*b**5 - 11*b wrt b.
100*b**3
Suppose 2*w + 21 = -3*w - 4*g, 2*w = -4*g - 18. Let p be (2 + -1)/w + 8. Find the first derivative of 5*f**3 - 1 - p*f**3 + 2 wrt f.
-6*f**2
Let s(l) = 0*l**3 + 4*l - 2*l - 1 + l**3. Let w be s(1). What is the third derivative of d**2 + 0*d**2 - 2*d**4 - 3*d**w wrt d?
-48*d
Let u(v) be the first derivative of v**4/2 + 3*v**3 - 4*v**2 - 9. Find the second derivative of u(s) wrt s.
12*s + 18
Let t(j) be the second derivative of 4*j**7/7 - j**4/2 - 34*j. Find the third derivative of t(w) wrt w.
1440*w**2
Suppose -6*q = -2*q + 20. Let v be (-7)/q + (-4)/10. What is the derivative of -j - v + 3 - j wrt j?
-2
Let x(z) = 2*z**2 + 1. Let h be x(1). Differentiate y + 3*y**h - y - 2*y**3 + 1 with respect to y.
3*y**2
Let z(k) = -k**3 + k**2 - k - 1. Let l be z(-1). Let u = 4 - l. Find the third derivative of 4*n**2 - n**u + n**3 - n**2 wrt n.
6
Let v(i) = -53*i**3 + 17*i**2 - 7*i + 7. Let k(o) = -27*o**3 + 8*o**2 - 4*o + 4. Let m(y) = 7*k(y) - 4*v(y). Find the third derivative of m(a) wrt a.
138
What is the second derivative of -7 + 5*y**3 + 3*y + 19 - 12 wrt y?
30*y
Let w = 9 + -13. Let k be (-2 - 7/w)*-12. What is the third derivative of -3 + 3 - 3*h**2 - k*h**3 wrt h?
-18
Let j(a) = -3*a**2 - 11*a + 13. Let n(o) = -o**2 - 5*o + 6. Let i(x) = 6*j(x) - 13*n(x). Find the second derivative of i(z) wrt z.
-10
Let f(i) = i - 1. Let z be f(5). Find the first derivative of 5*g**4 - g**4 + 1 + z - 4 wrt g.
16*g**3
Find the third derivative of -21*k - 28*k**2 - 14*k - 11*k**5 + 35*k wrt k.
-660*k**2
Find the second derivative of 6*g**5 - 9*g**5 + 2*g + 6*g**5 wrt g.
60*g**3
Let t(n) = -n**3 - 4*n**2 - 4*n - 9. Let w(g) = 5*g**2 + 5*g + 10. Let b(a) = -5*t(a) - 4*w(a). Differentiate b(r) wrt r.
15*r**2
Let q = 67 + -67. Let x(l) be the second derivative of 1/6*l**4 + 0 + 0*l**5 + q*l**2 + 0*l**3 - 3*l + 1/30*l**6. What is the third derivative of x(k) wrt k?
24*k
What is the third derivative of 8*z**4 - 5*z**2 - 13 + 13 wrt z?
192*z
Let t(o) = -o**3 + 3*o**2 + 4*o - 4. Let l be t(3). Suppose -r + 3*r = l. What is the second derivative of 3*d**4 + 2*d**r + d - 3*d**4 wrt d?
24*d**2
Let v(a) be the first derivative of -a**4/2 + 12*a + 8. Find the first derivative of v(i) wrt i.
-6*i**2
Let s(r) be the third derivative of r**6/60 - r**5/30 + 16*r**2. Find the third derivative of s(j) wrt j.
12
Let x = -3 + 4. Suppose x + 7 = 2*a. Differentiate u**a + 1 - 2*u**4 - 4 wrt u.
-4*u**3
Let y = 25 + -25. Let o(t) be the first derivative of 0*t**2 + 1 + 0*t + y*t**4 - 1/5*t**5 - 2/3*t**3. What is the third derivative of o(a) wrt a?
-24*a
Suppose 0*l = -5*l + 25. Let q(u) be the second derivative of 0*u**2 + 0 + 0*u**4 + 1/3*u**3 + 2*u + 1/20*u**l. What is the second derivative of q(j) wrt j?
6*j
What is the first derivative of 0*o**2 + 6*o**2 + 3 + 9 + 20*o**2 wrt o?
52*o
Let j = 6 + -1. Suppose 3*g = 2*o + 12, -4*g - j = 3*o - 21. What is the third derivative of 2*p**2 + o*p**2 + 6*p**4 - 2*p**4 wrt p?
96*p
Suppose 0 = 3*b - 3*a + 48, b - 6*b - 3*a - 56 = 0. Let s = b + 18. Find the first derivative of 1 - 3 + s + 2*g**3 wrt g.
6*g**2
Suppose 0 = 4*u - 4 - 16. Suppose -15 = -11*a + 7. What is the second derivative of j + a*j + 5*j**u - 4*j**5 - j wrt j?
20*j**3
Let h(v) = -35*v**3 + v + 2. Let y(f) = -71*f**3 + 2*f + 5. Let l(r) = 5*h(r) - 2*y(r). Find the second derivative of l(i) wrt i.
-198*i
Let a(i) be the first derivative of 0*i**5 + 0*i**2 + 0*i**6 + 1/3*i**3 + 3/7*i**7 + 0*i + 3 + 0*i**4. What is the third derivative of a(v) wrt v?
360*v**3
Let q(x) = 38*x**3 - 27. Let c(l) = 57*l**3 - 41. Let h(a) = 5*c(a) - 7*q(a). What is the first derivative of h(m) wrt m?
57*m**2
Let o be (8/6)/((-2)/6). Let p be 3/(-4) + (-19)/o. Let i(b) = 4*b - 5. Let k(d) = -5*d + 6. Let s(h) = p*i(h) + 3*k(h). Differentiate s(t) wrt t.
1
Let n(y) = y**3 + 5*y**2 + 2. Suppose -3*f - 4 = 11. Let z be n(f). What is the second derivative of -11*r**2 + 0*r - 2*r + 3*r + 10*r**z wrt r?
-2
What is the second derivative of 4*q + 19*q + 8*q**2 - 4*q**3 - 11*q**2 wrt q?
-24*q - 6
Let q = 10 +