Let d(x) be the first derivative of 3*x**5/5 + x**4/2 - 103*x**2/2 + 104. Find the second derivative of d(q) wrt q.
36*q**2 + 12*q
Suppose 6*m - c = 5*m + 6, c + 14 = 5*m. Suppose -m*d = 4*l - d - 12, 0 = 4*d - 16. What is the third derivative of 19*n**l - 2*n**4 - 2*n**4 - 30*n**2 wrt n?
-96*n
Let u(l) be the first derivative of 383*l**3/3 + 225*l**2/2 + 313. Find the second derivative of u(f) wrt f.
766
Let u(q) be the first derivative of -11*q**6/15 - 21*q**2/2 + 12*q - 15. Let k(w) be the first derivative of u(w). What is the first derivative of k(r) wrt r?
-88*r**3
Let a(v) = 5*v + 27. Let k be a(-5). What is the second derivative of -37*j**2 - 31*j**k + 36*j**2 + 3*j + 4*j wrt j?
-64
Let l(h) = -40*h**4 - 3*h**3 - 68. Let d(i) = -41*i**4 - 4*i**3 - 67. Let c(k) = -3*d(k) + 4*l(k). Differentiate c(b) with respect to b.
-148*b**3
Let l(u) = -u**3 - 7*u**2 - 3*u - 16. Let w be l(-7). Find the third derivative of 494*x**4 - 494*x**4 + 15*x**w + 8*x**2 wrt x.
900*x**2
Let m be (-6)/8*240/(-45). Find the second derivative of 199*w**m - 101*w**4 + 7*w - 102*w**4 wrt w.
-48*w**2
Let y(j) be the first derivative of -j**6/3 + 36*j**5/5 + 2*j**3/3 + 46*j**2 - 246. Find the third derivative of y(z) wrt z.
-120*z**2 + 864*z
Let l = 84 - 50. What is the first derivative of -111*o + 128*o + l - 5 wrt o?
17
Let g(l) be the second derivative of 69*l**6/5 + 63*l**2 + 2*l + 64. Differentiate g(j) with respect to j.
1656*j**3
Let w(s) = -s**3 - 4*s**2 - 3*s + 2. Let u be 1 + -2 - 2 - -1. Let m be w(u). Differentiate -2*j**4 + 5 + m*j**2 + 2*j**2 - 2*j**2 with respect to j.
-8*j**3
Let y(g) = -g**3 - g**2 - 1. Let j(h) = 159*h**3 - h**2 + 95. Let x(i) = -j(i) + y(i). Find the first derivative of x(q) wrt q.
-480*q**2
Let t be (-142)/(-8) + (-15)/(-60). Let w be (t - 2)*(10 - 8). What is the first derivative of -3 + 0 + 34*n**2 - w*n**2 wrt n?
4*n
Suppose 2 = b - 0*p + 5*p, -3*b + 6 = -5*p. Find the third derivative of 4 - 807*h**3 - 4 - 14*h**b + 815*h**3 wrt h.
48
What is the second derivative of 16*b**3 - 4 - b - 10*b**3 - 3*b**3 + b**2 + 4*b + 6*b wrt b?
18*b + 2
What is the third derivative of -13*z**2 + 63*z + 1625*z**5 + 9*z**2 - 1625*z**5 + 276*z**6 wrt z?
33120*z**3
Let d(p) = 4*p + 13. Let r be d(-7). Let f = 0 - r. Find the second derivative of -3*v**3 + f*v - 7*v + v wrt v.
-18*v
Let j(l) be the third derivative of l**6/40 + 11*l**4/12 - 17*l**3/6 + 24*l**2. Let g(d) be the first derivative of j(d). Differentiate g(n) with respect to n.
18*n
Let x(z) be the second derivative of -z**6/80 - 7*z**5/120 + 2*z**4/3 - 5*z. Let c(a) be the third derivative of x(a). Differentiate c(v) with respect to v.
-9
What is the first derivative of 4*j**4 + 26*j**2 - 49 - 12*j**2 - 4*j**2 - 74 wrt j?
16*j**3 + 20*j
Let b be 6/(-10) + 108/30. Suppose 3*l + l = -3*u + 19, 0 = -l - 5*u + 9. Find the third derivative of l*h**6 + 3*h**5 + 0*h**5 - b*h**5 + 5*h**2 wrt h.
480*h**3
Suppose -17*j + 5 = -16*j. Suppose j*p = 3 + 7. What is the second derivative of p*v - v**5 + 6*v**5 - 9*v wrt v?
100*v**3
Let a(y) be the third derivative of -2*y**7/105 + 23*y**6/40 - y**5/10 + y**3/2 + 110*y**2. Find the third derivative of a(u) wrt u.
-96*u + 414
Let u be 3516/7 + 10/(-35). Suppose -4*j + u = -2*j. What is the second derivative of j*i**4 - 251*i**4 - 6*i**5 + 5*i wrt i?
-120*i**3
Let v(b) be the first derivative of b**6/3 - 7*b**4/2 - b**3/3 - 160*b + 145. Find the third derivative of v(k) wrt k.
120*k**2 - 84
Let h(f) be the third derivative of 11/6*f**4 - 1/40*f**6 + 0 + 0*f**3 + 0*f**5 + 0*f - 1/42*f**7 - 33*f**2. Find the second derivative of h(u) wrt u.
-60*u**2 - 18*u
Let s(q) = -709*q**3 + 35 + 720*q**3 + 11 + 2*q**4. Let a(b) = -b**4 - 12*b**3 - 44. Let r(t) = 6*a(t) + 7*s(t). What is the first derivative of r(m) wrt m?
32*m**3 + 15*m**2
Let k(x) be the second derivative of 101*x**5/20 - x**4/12 + 17*x**3/6 + 4*x - 17. What is the third derivative of k(d) wrt d?
606
Differentiate -208*a**4 - 159*a**4 + 276 + 131*a**4 wrt a.
-944*a**3
Let o(m) be the second derivative of 10/3*m**3 + 0*m**5 + 0*m**4 + 0 + 0*m**2 + 0*m**6 - 20*m + 8/21*m**7. Find the second derivative of o(k) wrt k.
320*k**3
Let r(s) be the third derivative of 0 + 0*s**3 - 3/4*s**4 + 0*s**6 + 0*s - 47*s**2 - 1/35*s**7 + 0*s**5. Find the second derivative of r(h) wrt h.
-72*h**2
Suppose g = w + 7, -5*w - g + 3*g - 32 = 0. Let d = w + 10. Find the second derivative of 2*n**4 - 2*n**d + 3*n + 0*n - 5*n**4 wrt n.
-60*n**2
Let q(r) be the first derivative of 10*r**4 - 34*r + 62. Differentiate q(h) with respect to h.
120*h**2
What is the third derivative of -20*f**2 + 25*f**2 - 455*f**2 - 463*f**5 wrt f?
-27780*f**2
Let h(c) be the first derivative of 292*c**7/7 - 40*c**3 - 284. Find the third derivative of h(o) wrt o.
35040*o**3
Let v be (4/(-4))/((-2)/28). Find the second derivative of 14*i - 14*i + 19*i + v*i**3 wrt i.
84*i
What is the third derivative of -5*c**3 + 5*c**6 + 0 + 6*c**6 - 18*c**2 - 4*c**6 - 3*c**3 + 6 wrt c?
840*c**3 - 48
Let a(x) be the third derivative of 0*x**4 + 0*x + 10*x**2 + 7/30*x**5 + 0 + 0*x**6 + 0*x**3 - 1/30*x**7. What is the third derivative of a(v) wrt v?
-168*v
Let h = -79 + 84. Differentiate -4*y**4 - h + 18*y**4 + 16*y**4 wrt y.
120*y**3
Let u(j) = 9 - 14*j - 5*j + 2*j. Suppose 52 = c - 5*c. Let g(y) = -8*y + 4. Let v(i) = c*g(i) + 6*u(i). What is the derivative of v(a) wrt a?
2
Let m(a) be the first derivative of -4*a**5/15 + 7*a**3/3 + 3*a**2/2 - 3. Let x(f) be the second derivative of m(f). Differentiate x(z) with respect to z.
-32*z
Let u(w) be the first derivative of 0*w**2 + 0*w + 0*w**4 + 26 - 8*w**3 + 8/5*w**5. What is the third derivative of u(s) wrt s?
192*s
Suppose -61*v - 36 = -73*v. Let h(s) be the second derivative of 6*s - v*s**2 + 0 + 5/6*s**3. Find the first derivative of h(f) wrt f.
5
Let p(d) = d**2 + 4*d + 8. Let m be p(-9). Differentiate -21 + 15*o + m - 8*o + 22*o wrt o.
29
What is the third derivative of 16*v**3 - 398*v**2 - 19*v**4 - 19*v**3 + v**3 wrt v?
-456*v - 12
Let y = -28 + 8. Let o be (-27)/15*y/12. Find the third derivative of o*h**2 - 7*h**2 + 5*h**2 + 10*h**2 - 11*h**4 wrt h.
-264*h
Let v(r) be the first derivative of -101*r**3/3 + 4*r**2 + 17*r - 175. What is the second derivative of v(p) wrt p?
-202
Let l(j) be the second derivative of -44*j**2 - 22*j - j**3 + 42*j**2 - j**3. What is the first derivative of l(h) wrt h?
-12
Let z(m) be the third derivative of 6*m**2 - 1/60*m**5 + 0*m + 7/3*m**3 + 0*m**4 + 0. Differentiate z(q) wrt q.
-2*q
Let h(b) = 37*b - 26. Let k(c) = 74*c - 53. Let s = 85 - 72. Let z(r) = s*h(r) - 6*k(r). What is the first derivative of z(p) wrt p?
37
Let q(s) = 2*s**3 - 2*s. Let k(b) = 229*b**4 - 8*b**3 + 8*b - 593. Let i(p) = k(p) + 4*q(p). Differentiate i(a) wrt a.
916*a**3
What is the third derivative of -196*k**3 + 3868*k - 3868*k + 681*k**2 wrt k?
-1176
Let g be (13 + -7)/72 - 0. Let q(s) be the third derivative of s**3 - g*s**4 + 0*s + 0 - 6*s**2. What is the first derivative of q(v) wrt v?
-2
Let a be -1*4/(-8)*6. What is the second derivative of -38*l**a - 55*l - 25*l**4 + 23*l**4 - 2*l wrt l?
-24*l**2 - 228*l
Let v(s) be the second derivative of 71*s**4/6 - 33*s**3 + 3*s + 20. What is the second derivative of v(l) wrt l?
284
Suppose 0 = 5*l - 13 + 3. Let z(j) be the third derivative of 0 - 1/4*j**4 - 1/10*j**5 - 3*j**l + 0*j + 0*j**3. What is the second derivative of z(i) wrt i?
-12
Let b(u) = 5*u**3 + 887*u**2 - 9*u + 880. Let i(o) = 2*o**3 + 444*o**2 - 4*o + 440. Let v(n) = -4*b(n) + 9*i(n). What is the first derivative of v(m) wrt m?
-6*m**2 + 896*m
Let w(n) = 289*n**2 - 31*n - 8. Let y(k) = -288*k**2 + 31*k + 9. Let d(r) = 8*w(r) + 7*y(r). What is the second derivative of d(b) wrt b?
592
Let q(g) be the second derivative of 0*g**4 + 2/5*g**5 - 13/2*g**2 + 0 + 0*g**3 - 31*g. What is the derivative of q(k) wrt k?
24*k**2
Let s(b) = b**4 + b. Let a(f) = -7*f**2 + 8*f**2 + 0*f**4 + f**4 - 5*f - 3*f**4. Let i(l) = 3*a(l) + 15*s(l). What is the third derivative of i(y) wrt y?
216*y
Let q(f) = -141*f**2 - 2*f + 86. Let l(a) = -141*a**2 - 4*a + 86. Let v(r) = -2*l(r) + 3*q(r). What is the second derivative of v(z) wrt z?
-282
Let h(c) be the first derivative of 28 - 11/3*c**3 + 0*c**4 + 0*c + 16/5*c**5 + 0*c*