19. Let r(f) be the third derivative of p(f). Differentiate r(n) wrt n.
90*n**2 - 1
Let c = -438 - -1259. Differentiate 172*n + 587 + 467 - c with respect to n.
172
Suppose -o - 5*v + 4 = 0, -5*o = -3*v - 0*v - 20. Let q = o + -2. What is the third derivative of 8*l**2 - 10*l**q - 21*l**5 - 18*l**2 wrt l?
-1260*l**2
Let y(p) be the first derivative of -p**3 - 124*p + 139 - 23/2*p**2. Find the first derivative of y(d) wrt d.
-6*d - 23
Let f be 31*(8 + -12 + 6). Find the first derivative of -z - f + 0*z + 6*z**2 + 10*z**2 - 7*z**2 wrt z.
18*z - 1
Suppose -271 = -3*y - 61. Let a = -56 + y. Find the first derivative of -9*h**2 - a*h**2 - 4*h**2 + 6 wrt h.
-54*h
Let m(v) be the second derivative of -9757*v**5/20 + 2353*v**2/2 - 6276*v. Differentiate m(f) wrt f.
-29271*f**2
Suppose -5*m = a + 16, -2*a + 7 - 3 = m. Suppose -b - 3*q + 1 = -17, 0 = 3*b + 2*q - 26. What is the second derivative of -10*w - b*w - w - w**a wrt w?
-12*w**2
Let x(g) be the first derivative of -4*g + 0*g**3 + 0*g**2 - 31/4*g**4 - 54. Differentiate x(c) with respect to c.
-93*c**2
Let p(z) be the first derivative of -2155*z**6/6 - 539*z**3/3 - 41. What is the third derivative of p(v) wrt v?
-129300*v**2
Suppose -5 = -3*p - d - 3*d, 0 = 5*d + 5. Suppose z = p*z - 8. Find the second derivative of -16*s**z - 20*s**2 + 20*s**2 + 2*s**4 - 25*s wrt s.
-168*s**2
Let f(y) be the first derivative of 0*y + 0*y**2 + 71/6*y**6 + 82/3*y**3 - 42 + 0*y**5 + 0*y**4. Find the third derivative of f(q) wrt q.
4260*q**2
Let h(y) be the first derivative of 0*y + 5/4*y**4 - 191 + 231/2*y**2 - 5*y**3. What is the second derivative of h(m) wrt m?
30*m - 30
Let x(w) = -46*w - 30. Let z(p) = 522*p + 518*p - 1039*p. Let s(f) = -x(f) - 2*z(f). What is the derivative of s(c) wrt c?
44
Let w be (5 + (-186)/30)/((-2)/10). Suppose w*z + 0 = 12. Find the third derivative of 14*l**5 - 5*l**2 + 5*l**z - 3*l**2 + 4*l**5 wrt l.
1080*l**2
Let f(i) be the third derivative of -297*i**4/2 - 145*i**3 + i**2 + 112*i. Differentiate f(x) wrt x.
-3564
Let s(d) be the first derivative of 43*d**5/5 + d**4/2 + 14*d**3 - 7*d**2/2 - 141*d - 9042. Find the second derivative of s(n) wrt n.
516*n**2 + 12*n + 84
Let l = 255 - 367. Let r = -108 - l. Find the third derivative of -7 + 7 - 31*x**r - 8*x**2 + x**4 wrt x.
-720*x
Let o be 2/(3/9 - (-70)/(-126)). Let p(m) = -26*m - 9. Let s(x) = -51*x + 8 - 11 - 16. Let n(r) = o*p(r) + 4*s(r). Differentiate n(a) wrt a.
30
Let d(f) be the third derivative of -1943*f**6/30 - f**4/12 - 564*f**3 + 3058*f**2. What is the second derivative of d(r) wrt r?
-46632*r
Let o = -19466 + 19468. Let r(m) be the third derivative of 13/30*m**5 + 0 + 23/6*m**3 + 0*m + 0*m**4 + 30*m**o. Find the first derivative of r(f) wrt f.
52*f
Let x(z) be the first derivative of -z**6/2 - 308*z**5/5 + 569*z**3/3 + 1179. What is the third derivative of x(h) wrt h?
-180*h**2 - 7392*h
What is the first derivative of 80*q - 173*q - 184 + 93*q - 489*q**2 + 2008*q**2 wrt q?
3038*q
Let k(m) be the first derivative of -53/4*m**4 + 38*m + 0*m**3 + 0*m**2 + 14. Differentiate k(x) with respect to x.
-159*x**2
Let m be ((-192)/(-80))/((-2)/(-15)). What is the second derivative of -3*b**5 + 437*b**4 - 2*b - 442*b**4 + b**3 - b**3 - m wrt b?
-60*b**3 - 60*b**2
Suppose 0 = 8*y - 9*y + 1643. Suppose 5*n = 3*n + 3286. Find the third derivative of -2*w**2 - n*w**3 + 14*w**5 + y*w**3 wrt w.
840*w**2
What is the third derivative of 26396*l**5 + 237*l**4 - 27*l**4 - 52797*l**5 + 26402*l**5 - 976*l**2 wrt l?
60*l**2 + 5040*l
Let a(s) be the first derivative of -10*s**2 - 1/8*s**4 - 1/6*s**3 - 22 + 0*s. Let k(n) be the second derivative of a(n). Differentiate k(y) with respect to y.
-3
Let u(x) = -108*x**3 - 9*x**2 + 7*x + 168. Let l(s) = -244*s**3 - 18*s**2 + 12*s + 336. Let p(o) = -4*l(o) + 9*u(o). What is the derivative of p(n) wrt n?
12*n**2 - 18*n + 15
Suppose 0 = f + 4*c - 287, -5*c + 2*c = -f + 294. What is the third derivative of 3*q**4 - f*q**2 - q - 130*q**3 + q + 157*q**3 wrt q?
72*q + 162
Let d(s) = -s**3 + 3*s**2 + 5*s. Let f be d(4). Let u be 27/12*8/6. Find the second derivative of 17*n**3 - f*n**u + 15*n**3 - 19*n wrt n.
168*n
Let y(p) be the second derivative of 582*p**8/7 + 655*p**4/6 + 2*p - 1258. Find the third derivative of y(c) wrt c.
558720*c**3
Find the third derivative of -2017*z - 974*z**5 - 2022*z + 6056*z - 2017*z - 279*z**2 wrt z.
-58440*z**2
Find the second derivative of -12123*k**4 - 1 + 12123*k**4 - 850*k**5 - 8*k + 77*k**5 wrt k.
-15460*k**3
Suppose 2*p + 48 = 2*v, 3*p = -5*v - 2 - 38. Let q be (-12)/(-20) - 368/p. What is the derivative of -29*f - 6*f + q - 67 + f wrt f?
-34
Let d(l) be the third derivative of -l**2 - 1/120*l**6 + 1/6*l**3 + 0 - 7/24*l**4 + 131*l - 31/60*l**5. What is the second derivative of d(m) wrt m?
-6*m - 62
Let n(j) be the third derivative of -1859*j**6/24 - j**4/6 + 20*j**3/3 + 2096*j**2. Find the second derivative of n(o) wrt o.
-55770*o
Let u = -45 - -81. Suppose -r + 4 + u = 0. What is the third derivative of 3*x + 61*x**6 - r*x**6 - 3*x + 36*x**2 wrt x?
2520*x**3
Let w(j) be the second derivative of -1625*j**8/56 - 39*j**4 + 606*j. What is the third derivative of w(p) wrt p?
-195000*p**3
Suppose -23*m + 27*m - 16 = -4*g, -2*m - 4*g + 8 = 0. Find the third derivative of 13*x**m + 0*x**2 + 18*x**4 - x**4 - x**2 + x**3 - 3*x**2 wrt x.
720*x + 6
Suppose -14*y + 68 = 3*y. Suppose -2*k - 4*a = -24, 5*a - a = 2*k + 8. Find the third derivative of -y*c**2 + 27*c**k + 4*c**2 - 5*c**2 - 5*c**2 wrt c.
648*c
Let k(q) be the first derivative of 115*q**4/2 - 2*q**3 - q**2 + 828*q - 7574. What is the second derivative of k(c) wrt c?
1380*c - 12
Let s(a) = 19 - 19*a - 22 - 7*a. Let z be s(-1). Find the third derivative of z*b**2 - 38*b**2 - b**6 + 7*b**6 wrt b.
720*b**3
Let d(f) = -7*f**2 - 45*f - 843. Let g(z) = -7*z**2 - 45*z - 837. Let j(u) = -5*d(u) + 4*g(u). Find the first derivative of j(v) wrt v.
14*v + 45
What is the second derivative of 4 - 1392*j + 674*j - 867*j**5 + 480*j - 3 wrt j?
-17340*j**3
Let s(v) = -5662*v**2 - 30*v + 6014. Let l(k) = -3774*k**2 - 21*k + 4009. Let i(m) = 10*l(m) - 7*s(m). Differentiate i(b) wrt b.
3788*b
Let j(u) be the second derivative of 51*u**7/280 - 13*u**4/6 + 9*u**3 - 123*u. Let x(t) be the second derivative of j(t). Differentiate x(n) with respect to n.
459*n**2
Let l(f) be the first derivative of -9*f**4/2 + f**3 + 2*f**2 + 35*f + 75. Let k(p) be the first derivative of l(p). Find the second derivative of k(x) wrt x.
-108
Let r(q) be the first derivative of 841*q**6/3 - 2*q**3/3 + 431*q**2 - 2911. Find the third derivative of r(h) wrt h.
100920*h**2
Let z(s) be the second derivative of 1661*s**4/2 - 449*s**3 + 9008*s. Find the second derivative of z(c) wrt c.
19932
Let o(p) be the second derivative of -p**6/30 - 69*p**5/20 + 13*p**4/6 + 3869*p**3/6 + 4164*p. Find the second derivative of o(z) wrt z.
-12*z**2 - 414*z + 52
Let y(c) = 7*c**2 + 6*c - 6. Let l(w) = -w**2 - w. Let g(n) = 6*l(n) + y(n). Let z be g(-5). What is the first derivative of -9*u**3 + 3 - 5 - z wrt u?
-27*u**2
What is the first derivative of -45*k - 292 - 56*k + 75 wrt k?
-101
Suppose -755*n = -749*n - 12. Find the third derivative of -5*d**4 + 58*d**4 - 37*d**2 + n*d + 22*d**4 + 35*d**4 wrt d.
2640*d
Suppose 0 = 2*y - 3*y + 3. Let a be 5644/340 - (-4)/10. Find the first derivative of 13*o - a*o - 5*o - y wrt o.
-9
Let x(r) be the first derivative of -60*r**7/7 + 4*r**6/3 - 2*r**3/3 - 689*r + 874. What is the third derivative of x(w) wrt w?
-7200*w**3 + 480*w**2
What is the third derivative of -12*i**3 - 318*i**4 - 4*i**5 + i**2 + 315*i**4 - 43 + 57 wrt i?
-240*i**2 - 72*i - 72
Let b(d) = 55*d - 26. Let i(u) = -u**2 + u + 1. Let x be i(4). Let g(r) = -276*r + 130. Let h(n) = x*b(n) - 2*g(n). Differentiate h(c) wrt c.
-53
Let t(r) = -1542*r**2 + 1464*r - 12. Let c(p) = -4627*p**2 + 4392*p - 33. Let x(q) = -4*c(q) + 11*t(q). What is the second derivative of x(y) wrt y?
3092
Let v be 3/2*832/78. What is the first derivative of -12 - 35 - 10 - 17*t**2 - v - 2 wrt t?
-34*t
What is the second derivative of -76 - 2*q - 2*q - 856*q**2 + 750 - 82 + 8*q wrt q?
-1712
Suppose -4 = w + 31. Let z = w + 38. Find the second derivative of z*x + 3*x + 7*x + 9*x**3 - 8*x wrt x.
54*x
Let k(b) be th