 is the second derivative of -x*c**3 + c**3 - v*c + 81*c wrt c?
-30*c
Suppose 0 = -8*x + 13*x. Let m(i) be the first derivative of 0*i - 1/3*i**3 - i**5 + 3 + 0*i**4 + x*i**2. Find the third derivative of m(z) wrt z.
-120*z
Suppose -3*g = -8 - 1. Let w(n) = -n**3 + 4*n**2 - n - 4. Let h be w(g). Find the third derivative of 2*q**5 + h*q**5 - 4*q**2 + q**2 - 2*q**2 wrt q.
240*q**2
Find the second derivative of -273*n**5 + 219*n - 110*n**2 + 66*n + 110*n**2 - 83*n wrt n.
-5460*n**3
Let h be (-45)/75 - (-26)/10. Find the third derivative of 5*r**h + 8*r**2 - 18*r**2 + 2*r**3 wrt r.
12
Let s(l) be the second derivative of l**9/15120 + l**7/840 + l**4/4 + 3*l. Let z(m) be the third derivative of s(m). Find the third derivative of z(t) wrt t.
24*t
Let o(x) be the second derivative of x**6/5 + x**5/4 + 7*x**4/6 - 2*x**3/3 - 244*x. What is the third derivative of o(z) wrt z?
144*z + 30
Let t(i) be the third derivative of -17*i**4/2 - 271*i**3/6 + 81*i**2. What is the derivative of t(k) wrt k?
-204
Let c be -14 + 24 + 4 + 0. Let p = 31 - c. Find the third derivative of -7*m**2 + 26*m**5 + 4*m**3 - p*m**5 - 4*m**3 wrt m.
540*m**2
Let y(h) be the third derivative of 0*h + 1/3*h**4 - 11*h**2 + 0 + 4/3*h**3. Differentiate y(v) wrt v.
8
Let o(q) be the third derivative of q**7/280 - q**5/15 + 5*q**3/3 + 5*q**2. Let a(r) be the first derivative of o(r). Find the second derivative of a(j) wrt j.
18*j
Let p(j) be the second derivative of 15*j + 0*j**5 + 3*j**3 + 0*j**4 + 0*j**2 + 1/2*j**6 + 0. What is the second derivative of p(f) wrt f?
180*f**2
Let k(u) be the second derivative of 15*u**5/4 - 91*u**4/6 - 142*u. What is the third derivative of k(w) wrt w?
450
What is the first derivative of -62*m + 15 + 64*m + 62 - 12*m**2 wrt m?
-24*m + 2
Find the third derivative of 103 - 109 + 6*o**2 + 37*o**5 + 68*o**5 - 4*o**2 + 2*o**2 wrt o.
6300*o**2
Let y(a) be the third derivative of a**7/105 + 7*a**6/60 - 83*a**3/3 - 152*a**2 + 1. Differentiate y(n) with respect to n.
8*n**3 + 42*n**2
What is the third derivative of -162*i**5 + 98*i**5 - 11*i**3 - i + 11*i**3 + 71*i**2 wrt i?
-3840*i**2
Let p(j) be the second derivative of j**7/10 + 5*j**4/8 + 2*j**2 + 15*j. Let w(r) be the first derivative of p(r). Find the second derivative of w(u) wrt u.
252*u**2
Suppose -2*s - 5*d + 4 = 0, -2*s - 15 = -5*s - 3*d. Let z = -3 + s. What is the second derivative of 0*p**5 - z*p + 3*p + p**5 wrt p?
20*p**3
Let o(s) be the first derivative of 818*s**3/3 - 4*s**2 - 50*s - 346. Find the second derivative of o(h) wrt h.
1636
What is the second derivative of 33*z**3 - 41*z - 72*z**3 + 43*z**3 wrt z?
24*z
Let k(c) be the third derivative of c**6/40 + 83*c**4/12 - 127*c**3/3 + 741*c**2. Find the first derivative of k(s) wrt s.
9*s**2 + 166
What is the third derivative of 3*j**3 - 203*j**4 - 9191*j**2 + 4597*j**2 - 5*j + 4598*j**2 wrt j?
-4872*j + 18
Let s = 40 + -8. Find the third derivative of 53*y**4 + s*y**2 - 81*y**4 + 39*y**4 wrt y.
264*y
Suppose 2*j + 3*i - 24 = 0, 3*j - 4 - 33 = -5*i. Let v = 11 - j. What is the third derivative of -v*o**5 + 2*o**3 + 2*o**2 + 3*o**2 - 2*o**3 wrt o?
-120*o**2
Let u be ((2/(-3))/1)/((-2)/15). What is the third derivative of -u*g**2 + 5*g**3 + 7*g**3 - 17*g**2 + 32*g**2 wrt g?
72
Let f(n) = 33*n**2 + 16*n - 148. Let c(x) = 35*x**2 + 16*x - 148. Let t(s) = 6*c(s) - 7*f(s). Differentiate t(i) wrt i.
-42*i - 16
Let s(k) be the second derivative of 293*k**4/12 - 8*k**3/3 - k**2/2 - 13*k + 7. What is the second derivative of s(x) wrt x?
586
Let z = -5 - -16. Let y = 12 - z. Differentiate -j - y - 2*j - 2*j - 3 with respect to j.
-5
Let h be -6 + (-1 - 132/(-18)). Let t(x) be the third derivative of 0*x - 1/15*x**5 + 0*x**4 + 5*x**2 + 0 + h*x**3. Find the first derivative of t(d) wrt d.
-8*d
Let o(j) = 201*j**3 + 12*j**2 + 5*j - 8. Let g(f) = -100*f**3 - 6*f**2 - 3*f + 4. Let v(i) = 5*g(i) + 3*o(i). Find the third derivative of v(a) wrt a.
618
Let j(w) be the first derivative of -w**2/2 + 10*w - 5. Let b be j(9). What is the first derivative of 0*d - d + b + 2*d wrt d?
1
Suppose -5*f = -16*f + 55. What is the second derivative of 17*n + 1664 - 1664 + f*n**3 wrt n?
30*n
What is the third derivative of 6 - 79*n**4 - 3 - 3*n**5 + 159*n**4 + 62*n**2 wrt n?
-180*n**2 + 1920*n
Let m(r) be the first derivative of 4*r**5/15 - 7*r**4/8 - r**2 - 3. Let t(q) be the second derivative of m(q). What is the second derivative of t(l) wrt l?
32
Let v(a) = -6*a**4 + 217 - 125 + 99*a**4 + 8*a**2. Let x(k) = -62*k**4 - 5*k**2 - 61. Let u(w) = 5*v(w) + 8*x(w). What is the derivative of u(m) wrt m?
-124*m**3
Let l(w) be the first derivative of -w**8/112 + 5*w**4/24 + w**3/3 - 17. Let b(g) be the third derivative of l(g). Find the first derivative of b(p) wrt p.
-60*p**3
Let n(y) = 49*y**4 + 5*y**3 + 10*y + 433. Let g(h) = 24*h**4 + 3*h**3 + 6*h + 217. Let l(m) = -5*g(m) + 3*n(m). Differentiate l(o) with respect to o.
108*o**3
Let s(a) = 76*a**2 + 8*a - 601. Let h(z) = 37*z**2 + 4*z - 299. Let i(w) = 5*h(w) - 2*s(w). What is the derivative of i(v) wrt v?
66*v + 4
Let m(j) = -45*j**3 + 7*j**2 - 236*j - 14. Let a(x) = -22*x**3 + 4*x**2 - 117*x - 8. Let s(n) = 7*a(n) - 4*m(n). Find the second derivative of s(g) wrt g.
156*g
Let z(v) be the first derivative of 15*v - 8 + 0*v**3 + 21/4*v**4 + 0*v**2. What is the derivative of z(u) wrt u?
63*u**2
What is the derivative of -14*z + 39*z - 11*z + 48 wrt z?
14
What is the third derivative of 165*y**2 - 500*y**3 - 295*y**4 + 500*y**3 wrt y?
-7080*y
Let c(b) be the second derivative of 43*b**6/15 - 5*b**4/12 - 7*b**2/2 - 6*b. What is the third derivative of c(g) wrt g?
2064*g
Suppose 14 = -2*f + 84. Find the second derivative of f*a + 19*a + 11*a - 19*a - 31*a**4 wrt a.
-372*a**2
Let t be (23/4)/(2/(-8)). Let g = 29 + t. Find the third derivative of -5*d**2 - 7*d**2 + 6*d**2 - 5*d**2 + 2*d**g wrt d.
240*d**3
Let j(f) = 3*f - f + 1 + f - 4*f. Let u be j(-1). Differentiate -2 - 4*b**4 + 0 + u + 6 with respect to b.
-16*b**3
Let o(n) be the first derivative of -3 - 2*n**5 + 0*n**4 + 21/2*n**2 + 0*n**3 + 0*n. Find the second derivative of o(d) wrt d.
-120*d**2
Let v(c) = 10*c**4 + 2*c**3 - c**2 - 81*c. Let d(a) = -10*a**4 - 3*a**3 + 82*a. Let i(g) = -2*d(g) - 3*v(g). What is the second derivative of i(b) wrt b?
-120*b**2 + 6
Let v be 7 + (-3 - 1 - 1). Let c(g) be the first derivative of 0*g**4 + 0*g + 4 + 0*g**2 - v*g**3 + 3/5*g**5. Find the third derivative of c(d) wrt d.
72*d
Suppose -4*m - 6*n + 2*n = 0, m = 5*n + 6. What is the second derivative of -23*s - 1 + m + 15*s - 24*s**2 wrt s?
-48
Let a(p) be the first derivative of 35*p**4/2 - p**3/3 - 3*p - 61. Find the third derivative of a(r) wrt r.
420
Suppose 31*k = 34*k - 9. Differentiate 4 + 8 - 6 + k*p**4 - 7*p**4 wrt p.
-16*p**3
Let q(m) = 2*m**2 - m + 1. Let k(o) = -56*o**2 + 4*o - 13. Let w(d) = -k(d) - 2*q(d). What is the second derivative of w(y) wrt y?
104
Let t be ((-36)/15)/((-9)/(-30))*-4. What is the second derivative of -35*p**3 + t*p + 25*p**3 - 12*p wrt p?
-60*p
What is the second derivative of 68 + 26*n**4 + 16*n**4 - 152 + 2*n + 65 wrt n?
504*n**2
Let y be (-30)/(-4) + (-3)/6. Find the second derivative of -2*i**2 + 2*i**2 + 89*i**5 + y*i - 88*i**5 wrt i.
20*i**3
Let z = 13 - 12. Let d be (-3 - z) + 18/2. What is the third derivative of 6*p**2 + 7*p**2 - 3*p**5 + 11*p**5 + 0*p**d wrt p?
480*p**2
Let b(f) = 16*f**4 + 9*f**3 - 5*f**2 + 846. Let w(g) = 25*g**4 + 14*g**3 - 8*g**2 + 1270. Let d(y) = 8*b(y) - 5*w(y). Differentiate d(r) with respect to r.
12*r**3 + 6*r**2
What is the derivative of -449*r**3 - 39 - 132 - 9 wrt r?
-1347*r**2
Let f be 221/(-4) + (-3)/(-12). Let w = 100 + f. Find the third derivative of 73*m**6 - 37*m**6 - w*m**6 + 2*m**2 wrt m.
-1080*m**3
What is the third derivative of -33*l**4 + 2 - 2*l**2 - l**6 + 45*l**4 - 3*l**6 - 3 wrt l?
-480*l**3 + 288*l
Let v = -1 + 13. Suppose -2*g + 18 = 5*k - 0*k, -4*k + 5*g - v = 0. What is the third derivative of k*s**4 + 43 + s**2 - 43 wrt s?
48*s
Let k be 20/6 - 3/9. Suppose -5*h = -3*d - 11, 0*h - 5*d + 23 = 2*h. Find the second derivative of -2*x - 4*x**4 + 0*x**4 - 4*x**4 + k*x**h wrt x.
-60*x**2
Let j(f) be the third derivative of 19*f**5/120 + f**4/24 + 4*f**3 - 3*f**2. Let g(u) be the first derivative of j(u). 