). Suppose 6 = o*q - q. Find the second derivative of 29*h**3 + 9*h - q*h - 18*h wrt h.
174*h
Let y(h) be the third derivative of h**2 - 21/40*h**6 - 1/2*h**3 + 0*h**4 - 1/10*h**5 - 50 + 0*h. What is the third derivative of y(u) wrt u?
-378
Suppose r + 13*m - 18*m = 8, -8 = -4*r - 4*m. What is the second derivative of -r*p**2 - 21*p**3 + 63*p**3 - 17*p**3 - 26*p**3 + 183*p wrt p?
-6*p - 6
Let w(t) be the second derivative of 108*t - 11/3*t**4 + 53/6*t**3 + 2 + 0*t**2. What is the second derivative of w(i) wrt i?
-88
Let d(x) be the second derivative of 0*x**7 + 0*x**5 + 193*x + 0 - 5/2*x**8 - 1/12*x**4 + 0*x**6 + 10/3*x**3 + 0*x**2. Find the third derivative of d(w) wrt w.
-16800*w**3
Suppose -3*l = -0*l - 6. Find the third derivative of -50*k**3 + 7*k**l + 66*k**3 + 10*k**2 + 4*k**2 - 1 wrt k.
96
Let w(m) be the first derivative of 0*m**5 + 0*m**2 + 1/2*m**4 - 74*m**3 + 0*m - 32/3*m**6 + 283. What is the third derivative of w(i) wrt i?
-3840*i**2 + 12
Let x be 105/60*240/140. Let a(d) be the second derivative of 19*d**2 + 17/12*d**4 + 0 + 0*d**x - 3*d. Find the first derivative of a(g) wrt g.
34*g
Suppose 2*h - 14 = -4*v, 0*v - 1 = -2*v + h. What is the second derivative of -5*c**4 - c**4 - 58 + 54*c - v*c**4 - 56*c wrt c?
-96*c**2
Let f(q) = 134*q + 2004. Let z(v) = 2. Let k(l) = -f(l) + 3*z(l). What is the first derivative of k(b) wrt b?
-134
Let x(t) be the third derivative of -237*t**8/14 + 13*t**5/20 - 17*t**4/8 + 5366*t**2. Find the third derivative of x(h) wrt h.
-341280*h**2
Let p(q) = q**3 + 9*q**2 + 11*q + 14. Let l be p(-8). Let r be -2*(-5)/l + 4. Find the first derivative of 300*b**r - 30 - 300*b**3 - 27*b**4 wrt b.
-108*b**3
Let j(z) be the third derivative of -3961*z**6/120 - 203*z**5/60 - z**4/12 + 2*z**3 + 3487*z**2. What is the third derivative of j(a) wrt a?
-23766
Let b(f) be the second derivative of -15*f - 1/2*f**2 + 11/3*f**3 - 8/5*f**5 + 0 + 0*f**4. What is the second derivative of b(l) wrt l?
-192*l
Let n(k) be the third derivative of -501*k**8/112 - 541*k**4/24 + 2*k**3/3 - 99*k**2 - 8. Find the second derivative of n(v) wrt v.
-30060*v**3
Let v(n) be the first derivative of 517*n**4/2 - 1597*n**2/2 + 9141. Find the second derivative of v(g) wrt g.
6204*g
Let z be (7/((-21)/15))/(-1) - -6. What is the third derivative of -3*x**4 - 3*x**2 + 10*x**2 - 5*x**2 - z*x**6 - 4 + 4*x**4 wrt x?
-1320*x**3 + 24*x
Let d be (10/(120/(-18)))/((-1)/30). Let f = d + -40. What is the second derivative of 0*i**2 - 2*i + 9*i**2 - f*i wrt i?
18
Let s(v) be the third derivative of 0*v**4 + 3*v**2 + 0*v**5 + 0 + 0*v**6 - 15/2*v**3 + 3/10*v**7 - 22*v. Differentiate s(t) wrt t.
252*t**3
Let a(l) be the second derivative of 3989*l**5/20 + 13*l**3/6 + 15*l**2 - 1690*l - 2. What is the second derivative of a(w) wrt w?
23934*w
Let o(l) = 44*l + 57. Let k(p) = 42*p + 69. Let q(n) = -42*n - 67. Let f(s) = -6*k(s) - 7*q(s). Let m(j) = -4*f(j) + 5*o(j). Differentiate m(y) wrt y.
52
Find the second derivative of -4*p**3 + 8*p + 25*p**2 + 3*p**4 + 0*p**3 - 50 - 119 + 2*p**4 wrt p.
60*p**2 - 24*p + 50
Let b(v) = 198*v**2 - 4*v - 3. Let a be b(-5). Find the second derivative of -9*n**3 - 26*n**3 + a*n - 5033*n wrt n.
-210*n
What is the second derivative of 3221*z**3 + 8615*z**3 - z**2 + 8901*z - z**2 + 2*z**2 wrt z?
71016*z
Differentiate -2723*v**2 - 1503 - 961 + 367 with respect to v.
-5446*v
Let b = -13 + 31. Suppose -b*u - 70 = -23*u. Find the third derivative of 0*j + 75*j**2 + 0*j - 85*j**2 + u*j**4 wrt j.
336*j
Find the third derivative of 785*v**3 - 2034*v**3 + 7737207*v + 1673*v**2 - 7737207*v wrt v.
-7494
Let a be 24/60 + (-18)/5*-1. Suppose q + a*q = 180. What is the derivative of 5 + q*f**3 + 6*f**4 - 36*f**3 wrt f?
24*f**3
Suppose -m = -861 + 858. What is the second derivative of 42*z**4 - 96*z**4 + 79*z - m*z**2 + 3*z**2 wrt z?
-648*z**2
Let h(t) be the third derivative of -193*t**6/24 + 95*t**4/12 + t**3/2 + 215*t**2. What is the second derivative of h(d) wrt d?
-5790*d
Let s(l) = 6679*l**4 + 2416*l**2 - 8*l + 48. Let c(k) = -k**2 - k + 6. Let w(u) = 8*c(u) - s(u). What is the third derivative of w(b) wrt b?
-160296*b
Let t = -149 - -151. What is the third derivative of -16*a**t - 20*a**6 + 4*a**5 - 6*a**5 + 68*a**2 wrt a?
-2400*a**3 - 120*a**2
Let s = 266 + -269. Let t(q) = -226*q**2 + 164*q. Let x(u) = 679*u**2 - 489*u. Let j(g) = s*x(g) - 8*t(g). What is the second derivative of j(a) wrt a?
-458
What is the derivative of 1110*v**3 - 555*v**3 - 549*v**3 - 3311 - 139*v wrt v?
18*v**2 - 139
Let r(w) be the second derivative of -w**6/15 + 172*w**5/5 + 11309*w**4/12 + 224*w + 12. Find the third derivative of r(p) wrt p.
-48*p + 4128
Let a(i) be the third derivative of 0*i**5 - 2*i**2 + 41*i + 0 - 5/3*i**3 + 221/210*i**7 + 1/12*i**4 + 0*i**6. Find the second derivative of a(u) wrt u.
2652*u**2
Differentiate -5166 - 2*k**3 - 31177*k + 62310*k - 31178*k wrt k.
-6*k**2 - 45
What is the second derivative of 409*t**2 - 63*t**2 - 506*t - 341*t**2 + 981*t**2 + 2 + 941*t**2 wrt t?
3854
What is the second derivative of 662*a + 1536*a + 365*a**5 - 409*a - 1009*a**5 - 1234*a**5 wrt a?
-37560*a**3
Let s(u) be the first derivative of -6567*u**4/4 - 8415*u - 1412. What is the derivative of s(c) wrt c?
-19701*c**2
Let n(c) be the third derivative of 523*c**5/30 + 971*c**3/3 + 8*c**2 - 40*c. What is the first derivative of n(w) wrt w?
2092*w
Suppose -b - 4 = -3*z, 4*z + 4 = -2*b + 26. What is the third derivative of 141*d**2 - 110*d + 110*d + 14*d**5 + 3*d**z - 4*d**3 - 169*d**5 wrt d?
-9300*d**2 - 6
Let d(h) = -h**6 + 1. Let y = 268 - 269. Let s(t) = 50*t**6 + t**2 - 12. Let l(p) = y*s(p) - 6*d(p). Find the third derivative of l(m) wrt m.
-5280*m**3
Let r = -351 + 352. Let l(g) = -g**2 - g + 1. Let u(o) = 63*o**2 - 2*o - 125. Let p(f) = r*u(f) - l(f). Find the first derivative of p(h) wrt h.
128*h - 1
Let b(g) = 850*g**2 - 10*g + 25. Let s be b(3). What is the third derivative of 30*l**2 - 6*l**4 + 41*l**4 + s + 5*l**4 - 7647 + l**2 wrt l?
960*l
Let o(i) be the third derivative of -10679*i**6/120 + 1148*i**3 - 29*i**2 + 54. What is the first derivative of o(u) wrt u?
-32037*u**2
Suppose 3*r + m + 2*m - 96 = 0, 0 = -2*r + 3*m + 69. Differentiate -19 + 3 - 11 - r*u - 187*u - 11 wrt u.
-220
Let v be (-2)/(-6) - (-2 - (-5)/15). Suppose -z + 3 - v = 0. What is the first derivative of 7 - z - 8*c**3 - 14*c**3 wrt c?
-66*c**2
Let f(t) be the second derivative of 0 + 1/21*t**7 + 0*t**5 + 0*t**3 + 211*t - 1/12*t**4 - 1/6*t**6 + 37/2*t**2. Find the third derivative of f(r) wrt r.
120*r**2 - 120*r
What is the first derivative of -2831*c**2 + 1420*c**2 + 1410*c**2 + 909 + 929*c wrt c?
-2*c + 929
Let q(y) = -2*y**3 + 2*y - 2. Let w(b) = -13*b**3 - 12*b**2 + 18*b + 137. Let t(n) = -13*q(n) + w(n). Find the second derivative of t(f) wrt f.
78*f - 24
Let l(i) = -8*i**2 + 9*i**2 + 15 - 4*i - 4*i - i**3 + 6*i**2. Let j be l(6). What is the second derivative of 4*y - y**3 + 2*y**3 - 4*y**j - 21*y wrt y?
-18*y
Let f(u) be the first derivative of -u**4/2 + 235*u**3/3 + 3629*u**2/2 - 4484. What is the second derivative of f(j) wrt j?
-12*j + 470
Let m(j) = 8*j + 189. Let l be m(-23). Find the third derivative of 10*s**5 - 15*s**5 + 12*s**l - 16*s**2 + 6*s**5 wrt s.
780*s**2
Let y(t) be the third derivative of 0*t**4 + 0*t**5 + 0*t**6 - 93*t**2 + 0*t - 59/6*t**3 + 2/7*t**7 + 0. Find the first derivative of y(x) wrt x.
240*x**3
Find the second derivative of -1338*v**2 - 148*v - 930*v + 52*v**2 wrt v.
-2572
Let y(t) = 7*t - 4. Let l(m) = -1712*m + 7233. Let u(g) = -l(g) - 6*y(g). Differentiate u(o) wrt o.
1670
Let u = 82 + -80. Suppose 14*f - 576 = u*f. Differentiate 48*o**2 - f*o**2 - 3*o**3 + 21 - 21*o**3 wrt o.
-72*o**2
Let t(b) = 2*b**3 - b + 9. Let p(k) = -11120*k**3 - 231*k**2 + 6*k - 53. Let x(z) = p(z) + 7*t(z). What is the third derivative of x(v) wrt v?
-66636
What is the third derivative of 43 - 4*r**5 - 677*r**6 + 327*r**2 - 18 + 2*r**5 - 25 wrt r?
-81240*r**3 - 120*r**2
Let u(l) be the second derivative of l**6/15 - 4889*l**4/12 + 760*l**3 - 2*l - 301. What is the second derivative of u(g) wrt g?
24*g**2 - 9778
Let j(h) be the third derivative of h**7/210 + 287*h**5/20 - 548*h**3 + 54*h**2 - 6*h. Find the first derivative of j(u) wrt u.
4*u**3 + 1722*u
Let x(q) =