3
Let v = -28 + 44. Suppose 0 = 2*y, 0*i - 2*y + v = 4*i. Find the second derivative of -o**4 + 3*o**i - 4*o**4 - 2*o wrt o.
-24*o**2
Suppose -p = -5*p + 8. Suppose 0 = k + 1, 4*k - 6*k = 5*r - 13. What is the second derivative of s**r + 2 - p - 2*s wrt s?
6*s
Let v(s) be the first derivative of s**8/84 + s**4/24 - 3*s**2/2 - 1. Let w(y) be the second derivative of v(y). Find the second derivative of w(t) wrt t.
80*t**3
Let y(i) be the second derivative of i**6/15 + 7*i**5/60 - 3*i**2 - 6*i. Let r(a) be the first derivative of y(a). What is the third derivative of r(w) wrt w?
48
What is the second derivative of -2*m**4 + m - 3*m + 10*m**4 wrt m?
96*m**2
Let c = -6 + 8. Differentiate c*n + 2*n - 3*n - 2 wrt n.
1
Let x = -6/29 + 53/116. Let h(p) be the second derivative of 0*p**2 - 2*p + 0*p**5 + 1/15*p**6 - x*p**4 + 0*p**3 + 0. Find the third derivative of h(f) wrt f.
48*f
Let r(s) = -s**3 - 4*s**2 - s - 2. Let x be r(-4). What is the third derivative of -h**3 - 3*h - 2*h**x + 3*h wrt h?
-6
Let j(t) be the third derivative of -47*t**8/336 - t**5/20 + 7*t**3/6 + 5*t**2 - 3*t. What is the third derivative of j(c) wrt c?
-2820*c**2
Let y(i) = 9*i - 4. Let q(w) = w - 1. Let p(r) = 4*q(r) + y(r). Let x(c) = 14*c - 9. Let k(m) = 4*p(m) - 3*x(m). Differentiate k(t) wrt t.
10
Find the third derivative of 0*o**3 - 3*o**3 + 13*o**2 + 17*o**3 wrt o.
84
Suppose 5*v - 2*x = 12, -2*v = 2*v - 4*x - 12. Find the third derivative of -5*l**6 + 4*l**6 + l**2 + 0*l**6 + l**v wrt l.
-120*l**3
Let y(w) be the second derivative of -w**6/6 + 5*w**2/2 - 6*w. Differentiate y(o) wrt o.
-20*o**3
Let k = -5 + 7. Differentiate k + j**3 - 3 - 1 - 1 with respect to j.
3*j**2
Let k(o) be the first derivative of 5/4*o**4 + 3/2*o**2 + 2 + 0*o**3 + 0*o. What is the second derivative of k(v) wrt v?
30*v
Let k(g) = 57*g**4 - 60. Let s(i) = 28*i**4 - 30. Let p(m) = -6*k(m) + 13*s(m). What is the derivative of p(f) wrt f?
88*f**3
Let n(a) be the second derivative of 0*a**3 + 1/12*a**4 + 0*a**2 + 0 + 2*a + 3/10*a**5. What is the third derivative of n(h) wrt h?
36
Let y(z) = -6*z**3 + 5*z**2. Let d(o) = 6*o**3 - 5*o**2. Let g(m) = -6*d(m) - 7*y(m). What is the third derivative of g(v) wrt v?
36
Let n(r) be the second derivative of r**6/120 - r**5/60 - 3*r**2/2 + 3*r. Let s(q) be the first derivative of n(q). What is the third derivative of s(f) wrt f?
6
Let g(x) be the first derivative of -3*x**7/14 + x**4/6 + 9*x - 7. Let v(z) be the first derivative of g(z). What is the third derivative of v(w) wrt w?
-540*w**2
Let s(c) be the second derivative of 2*c**6/15 + 2*c**2 + 7*c. Differentiate s(p) with respect to p.
16*p**3
Find the third derivative of f**6 + f**6 - f**2 - f**2 wrt f.
240*f**3
Let t(u) be the third derivative of 13*u**7/210 - u**5/30 - 11*u**2. Find the third derivative of t(g) wrt g.
312*g
Let x(g) be the first derivative of 0*g**4 + 3 - 1/2*g**6 - 1/2*g**2 + 0*g**5 + 0*g + 0*g**3. What is the second derivative of x(o) wrt o?
-60*o**3
Let u be (-1)/(-4)*-6*2. Let k = u + 5. What is the derivative of 5*q**2 - 1 - k*q**2 + 2 wrt q?
6*q
Let a be 6/4*(-56)/(-21). Let j be (-2 - 0)*6/(-4). Find the first derivative of -j - 2*r - 5*r + a*r wrt r.
-3
Suppose 0 = 27*q - 24*q - 18. Let o(y) be the third derivative of 0*y + 0*y**4 - 1/40*y**q + 1/6*y**3 + 0*y**5 + 2*y**2 + 0. Differentiate o(n) wrt n.
-9*n**2
Let p(c) be the third derivative of c**9/15120 + c**5/60 + c**4/4 + c**2. Let o(s) be the second derivative of p(s). Differentiate o(h) with respect to h.
4*h**3
Suppose 4*c - 1 = k, c - 8 = -3*c. Differentiate -7*u**2 + 8 + 6*u**3 + k*u**2 with respect to u.
18*u**2
Let k(r) = -r**2 + 9*r - 7. Let m be k(7). Find the second derivative of -m*q + 9*q**5 - 3*q + q wrt q.
180*q**3
Let p be ((-4)/(-3))/((-8)/(-12)). Differentiate 11*u**p - 14*u**2 - u + u + 3 wrt u.
-6*u
Let i(o) = 2*o. Let t be i(1). Let g be (2/4)/((-2)/(-12)). Find the second derivative of t*c**g + 0*c**3 + c - 4*c**3 wrt c.
-12*c
Let y(c) be the first derivative of -c**8/1680 - c**5/40 - c**3/3 + 3. Let q(t) be the third derivative of y(t). Find the second derivative of q(x) wrt x.
-12*x**2
Let w = -7 - -11. Differentiate 4*c - 7 + w - 1 - 2*c with respect to c.
2
Let s(z) be the third derivative of -z**5/10 + 7*z**4/24 - 7*z**2. Find the second derivative of s(k) wrt k.
-12
Let q = 35 + -67/2. Let u(v) be the first derivative of -2/3*v**3 + q*v**2 + 2 + 0*v. Find the second derivative of u(i) wrt i.
-4
Suppose -m - 2*m = -6. What is the derivative of -3*y**2 - 3 + 0*y**2 - 2*y**4 + 3*y**m wrt y?
-8*y**3
Let t(m) be the first derivative of 5*m**3 + 25*m**2/2 - 22. Find the second derivative of t(k) wrt k.
30
Let w(o) = -o**3 + 5*o**2 - 12*o - 29. Let c(h) = 3*h**3 - 11*h**2 + 26*h + 59. Let i(m) = 6*c(m) + 13*w(m). Differentiate i(g) with respect to g.
15*g**2 - 2*g
Let f(i) be the second derivative of -11*i**6/30 - 3*i**2 + 4*i. What is the derivative of f(k) wrt k?
-44*k**3
Suppose -4*b + 4 = -4. Find the first derivative of a + 4*a**b + 4*a - 5*a + 1 wrt a.
8*a
What is the first derivative of -5*p**2 - 14 - p**2 + 2 wrt p?
-12*p
Let w(u) be the second derivative of 3*u**4/4 - 20*u**3/3 + 24*u. What is the second derivative of w(s) wrt s?
18
Let f(l) be the third derivative of 0*l - 1/4*l**4 + 0*l**5 + 0*l**6 + 0 + 0*l**3 + 1/105*l**7 + 6*l**2. What is the second derivative of f(j) wrt j?
24*j**2
Find the third derivative of 2*i**3 + 24*i**2 - 6*i**2 - 28*i**5 - i**3 wrt i.
-1680*i**2 + 6
Let g be (0 + 0 + -3)/(-1). Let i be g/(-9) - 2/(-6). Differentiate i*z - 4 + 6*z - 3*z wrt z.
3
Let j(r) be the second derivative of -r**9/1512 - r**6/120 + r**3/3 - r. Let i(u) be the second derivative of j(u). What is the third derivative of i(m) wrt m?
-120*m**2
Let t(u) = -39*u**4 - 4*u**3 - u**2 + 13*u. Let w(r) = 40*r**4 + 5*r**3 + 2*r**2 - 14*r. Let n(x) = -5*t(x) - 4*w(x). Find the third derivative of n(i) wrt i.
840*i
Let u(i) be the third derivative of i**5/60 - 8*i**2. Let r(b) = -9*b**2 + b. Let x(a) = -r(a) - 4*u(a). Find the second derivative of x(j) wrt j.
10
Suppose 3*j = 6*j + 15, 0 = 5*i + j + 40. Let a(d) = -2*d - 9. Let n be a(i). What is the second derivative of -z**5 - 5*z**n - 2*z + 4*z**5 + 0*z wrt z?
-40*z**3
Let m(o) = -o**4 + 7*o**3 + 9*o**2 - 39. Let l(u) = -3*u**3 - 4*u**2 + 19. Let a(h) = -5*l(h) - 2*m(h). Find the third derivative of a(k) wrt k.
48*k + 6
Find the first derivative of 22*a + 9 + 15 + 3 - 7 wrt a.
22
Find the third derivative of 25*q**4 + 429*q**2 + 18*q**4 - 423*q**2 wrt q.
1032*q
Let m(q) = 4*q**2 + q - 2. Let u be m(1). What is the second derivative of -3*f**2 - 3*f**u + 0*f**2 + 3*f**2 - 5*f wrt f?
-18*f
Let z(j) = -j**3 - 4*j**2 - 6*j. Let f(s) = -2*s**3 - 4*s**2 - 5*s. Let t(y) = 6*f(y) - 5*z(y). Find the third derivative of t(w) wrt w.
-42
Suppose -3*a = 3*d + 12, d + 2*a + 20 = -3*d. Let f(z) = z**2 + 6*z + 3. Let r be f(d). What is the second derivative of -v + r + v**3 - 3 wrt v?
6*v
Suppose 4 = d - 6. Suppose -3*l + d = 2*l. Find the third derivative of -q**6 - 7*q**2 + q**6 + 2*q**6 + 5*q**l wrt q.
240*q**3
Let u(v) = -11*v**4 + 4*v**3 + 4*v**2 - 4*v - 10. Let w(f) = f**3 + f**2 - f. Let j(i) = -u(i) + 4*w(i). What is the derivative of j(x) wrt x?
44*x**3
Let k(b) be the third derivative of -35*b**4/12 + b**3/6 + 61*b**2. What is the derivative of k(i) wrt i?
-70
Let i(v) be the third derivative of 5*v**8/168 + 7*v**4/24 - 18*v**2. Find the second derivative of i(m) wrt m.
200*m**3
Let q(y) = -7*y + 5. Let n(b) = 6*b - 4. Let v(i) = 6*n(i) + 5*q(i). Let p be v(1). Find the second derivative of r + 0*r - p*r**5 + r**5 wrt r.
-20*r**3
Let h(k) = -31*k**3 + 3*k - 1. Let c(w) = -32*w**3 + 4*w - 2. Let q(b) = 3*c(b) - 4*h(b). Differentiate q(i) with respect to i.
84*i**2
Let r(j) be the second derivative of j**7/21 - j**4/12 + 7*j**3/3 - 30*j. Find the second derivative of r(y) wrt y.
40*y**3 - 2
Let f(s) = -110*s + 106. Let z(x) = -37*x + 36. Let u(m) = 3*f(m) - 8*z(m). Find the first derivative of u(d) wrt d.
-34
Suppose -q = 4*b + 4*q - 40, 4*q = 16. Suppose 14 = 5*g - x + 2, b*x = 2*g - 14. Differentiate 0*r - g - r**2 + 0*r wrt r.
-2*r
Let t(c) be the third derivative of -c**8/3360 - c**5/30 + c**4/12 + c**2. Let y(g) be the second derivative of t(g). Find the f