y(g) = -127*g**3 - 4*g**2 - 12*g + 12042. Let i(q) = 380*q**3 + 13*q**2 + 37*q - 36128. Let a(b) = -6*i(b) - 19*y(b). Differentiate a(f) with respect to f.
399*f**2 - 4*f + 6
Let d(a) = -2*a**5 - 18*a**4 - 10*a**3 - 3432*a**2 + 9. Let k(q) = -q**2 - 1. Let h(u) = -d(u) - 11*k(u). What is the third derivative of h(p) wrt p?
120*p**2 + 432*p + 60
Let k(n) = 386*n**3 - 2*n**2 + 25*n + 7. Let v(g) = -779*g**3 + 5*g**2 - 50*g - 15. Let z(t) = 5*k(t) + 2*v(t). Find the second derivative of z(u) wrt u.
2232*u
Differentiate 4*a**2 + 874 + 84 + 14 - 5*a**2 + 512 + 9*a**3 wrt a.
27*a**2 - 2*a
What is the first derivative of 83*z + 752 - 978 - 841 - 4*z wrt z?
79
Let d(p) be the first derivative of -2*p**3/3 + 375*p**2/2 - 525*p + 1815. What is the derivative of d(n) wrt n?
-4*n + 375
Suppose -2*l + 37 = 3*d - 131, -5*l + 382 = -2*d. Find the second derivative of -2*p**5 - 155 + 30*p**4 + l + 55*p + 77 wrt p.
-40*p**3 + 360*p**2
Suppose -18 = -23*g + 51. What is the second derivative of -2*x**2 + 98 + x - 101 + 2*x**2 + 113*x**g + x**4 wrt x?
12*x**2 + 678*x
Suppose -3*s + 1 = -v, 9 = 2*v + 4*s + 1. Suppose 0 = v*o - 143 + 139. What is the first derivative of -16 - 61*j**o + 4 + 2 + 22*j**2 wrt j?
-78*j
Find the first derivative of 706 + 405194*c**2 - 1289*c**4 - 405194*c**2 + 3978*c**4 - 3560 wrt c.
10756*c**3
Let v(z) = z**2 - 9*z + 2. Let w be v(9). Let b(n) = -21*n + 1556. Let y be b(74). Differentiate -3*j**2 - y*j**2 + 5 + 8*j**2 + 0*j**w with respect to j.
6*j
Suppose 0 = -494*g + 496*g - 2. Find the third derivative of 1 - 60*x**2 + 122*x**5 - g - 1 - 152*x**5 wrt x.
-1800*x**2
What is the third derivative of 9 - 5 + 0 - 4 + 1357*r**2 - 622*r**5 wrt r?
-37320*r**2
Let x(t) be the first derivative of 2629*t**4/4 - 1494*t - 1552. Differentiate x(a) with respect to a.
7887*a**2
Let r be (-198)/(-8) - (-11)/44. Let y(i) = -2*i + 52. Let o be y(r). Find the third derivative of 10*w**2 + 11*w**2 + 15 + 20*w**4 - 19*w**o wrt w.
480*w
Find the second derivative of -355*h**4 - 53*h**4 - 63*h**4 - 38 - 6*h wrt h.
-5652*h**2
Find the second derivative of 3284*p**2 + 2*p + 57 - 1281*p**2 - 1139*p**2 wrt p.
1728
Let w(f) be the first derivative of -306*f**5/5 + f**2/2 - 749*f - 930. Find the second derivative of w(o) wrt o.
-3672*o**2
Suppose 0 = -6*a + a + 4*q - 561, -448 = 4*a - 4*q. Let i = 116 + a. What is the second derivative of -i*r**4 - 41*r**4 - 1 + 1 - 8*r wrt r?
-528*r**2
Let u(m) = 1 - 66*m + m**3 + 132*m - 67*m. Let r(y) = y**3 + 2*y**2 + y + 126. Let x(z) = r(z) + u(z). Find the first derivative of x(k) wrt k.
6*k**2 + 4*k
Let y(n) = 11*n**2 - 6*n + 74 - 34*n**2 + 80*n**2. Let z(l) = 113*l**2 - 10*l + 147. Let k(q) = 5*y(q) - 3*z(q). Differentiate k(s) with respect to s.
-108*s
Let t(c) = 41*c**2 - 30*c - 4583. Let o(l) = 123*l**2 - 80*l - 13750. Let x(z) = -3*o(z) + 8*t(z). What is the derivative of x(m) wrt m?
-82*m
Find the third derivative of -2 + 2 - 369*b**2 + 0 - 1007*b**2 - 50*b**5 - b**3 wrt b.
-3000*b**2 - 6
Let d(t) be the third derivative of t**6/60 - 33*t**5/2 - 817*t**4/24 - 24*t**2 + 29. Find the second derivative of d(i) wrt i.
12*i - 1980
Let b(k) be the first derivative of -1924*k**7/7 + 180*k**3 + 2*k - 1216. What is the third derivative of b(u) wrt u?
-230880*u**3
Let r = -4 - -6. Suppose 0 = r*u - 40 - 48. Differentiate 23*j - 9 - u*j + 21*j + 18*j**2 with respect to j.
36*j
Let w(h) be the first derivative of -869*h**5/5 + 404*h**3/3 + 3*h**2 - 5515. Find the third derivative of w(a) wrt a.
-20856*a
Let h(u) = -2024*u**2 - 17*u + 43. Let b(m) = 4051*m**2 + 32*m - 83. Let k(w) = 4*b(w) + 7*h(w). What is the second derivative of k(r) wrt r?
4072
Let a(b) be the first derivative of -1/4*b**4 + 13*b**3 + b + 9/2*b**2 + 24. What is the second derivative of a(z) wrt z?
-6*z + 78
Let d(h) = 12279*h - 56790. Let j(f) = 8596*f - 39753. Let z(v) = 16*d(v) - 23*j(v). Find the first derivative of z(o) wrt o.
-1244
What is the second derivative of -3088*m + 868*m**4 - 82*m - 207*m**4 - 336*m wrt m?
7932*m**2
Suppose -4*o + v = -1851, -4*o + 3*v - 1407 = -7*o. Find the second derivative of 248*d - 249*d**3 - 42*d + 26*d**3 + 21*d**3 - o*d wrt d.
-1212*d
Suppose 636 = 903*v - 897*v. What is the third derivative of -4*z**2 - 4*z**2 + 140*z**4 + 6*z**2 + 96 - v wrt z?
3360*z
Let u(w) be the third derivative of 13/6*w**3 - 1/12*w**4 + w**2 - 4/5*w**5 - 11*w + 0. What is the second derivative of u(r) wrt r?
-96
Let y(w) be the third derivative of -567*w**6/40 - 2957*w**3/6 - 3047*w**2. Differentiate y(q) with respect to q.
-5103*q**2
Let k(j) be the second derivative of 169*j**4/2 + j**3/3 + 329*j**2 - 75*j. Find the second derivative of k(m) wrt m.
2028
Let i be (-12)/18*6*(-6)/(-6). Let q(j) = 5 + 15 - 3*j - 36*j. Let n(h) = -13*h + 6. Let b(w) = i*q(w) + 11*n(w). What is the first derivative of b(r) wrt r?
13
Let p(s) be the first derivative of -3*s**7/7 - 137*s**4/2 + 11*s**3 + 4*s**2 + 376. What is the third derivative of p(l) wrt l?
-360*l**3 - 1644
Find the second derivative of -170*u - 160*u**3 + 165*u**3 - 7746*u**4 + 7906*u**4 wrt u.
1920*u**2 + 30*u
Let j(l) = -2115*l**4 - l**3 - 2*l**2 + 852*l + 1. Let h(t) = 2*t**4 - t**3 - 2*t**2 + 1. Let y(k) = h(k) - j(k). Find the second derivative of y(p) wrt p.
25404*p**2
What is the second derivative of -5*b - 699*b**5 - 2799*b**5 - 2 - 1157*b**5 + 3 - 53*b wrt b?
-93100*b**3
Let a = -12 + 90. Find the second derivative of -17*i**4 - 19*i**4 + 78 - a - 46*i wrt i.
-432*i**2
Let n(d) be the third derivative of -d**8/12 - 5*d**7/21 - d**6/60 - 143*d**5/4 + 5*d**2 + d + 92. Find the third derivative of n(b) wrt b.
-1680*b**2 - 1200*b - 12
Let k(r) = 8*r - 14. Let t be k(2). What is the third derivative of 19*j**3 - 68*j + 70*j - j**t - j**2 + 0*j**2 wrt j?
114
What is the second derivative of 49*t - 706*t + 545566*t**2 - 547356*t**2 wrt t?
-3580
What is the third derivative of 272*h**2 + 3*h**5 - 177*h**4 + 41*h**2 + 1213*h**2 + 73*h**2 wrt h?
180*h**2 - 4248*h
Let d(j) be the first derivative of 68/3*j**3 - 95 + 0*j**2 + 16*j**4 + 0*j. What is the third derivative of d(k) wrt k?
384
Let y = -203 - -202. Let r(s) = s**3 - s. Let q(f) = 193*f**4 - f**3 + 9*f - 1. Let j(b) = y*r(b) - q(b). What is the second derivative of j(o) wrt o?
-2316*o**2
What is the third derivative of 524*u**4 + 2305*u**4 + u + 368806*u**2 - u**6 - 368799*u**2 wrt u?
-120*u**3 + 67896*u
Let r be (8/(-14))/((-5)/35). Find the first derivative of 3000*q + 50 - 62*q**r - 3000*q wrt q.
-248*q**3
Suppose 18*p - 29 = 7. Let h be 2608/14 + 8/(-28). Differentiate 186*y**p - 8*y**3 - h*y**2 - 1 with respect to y.
-24*y**2
Suppose 3*r + 2*l = -1, -20*l + 19*l - 2 = r. Find the third derivative of -142*f**6 - 3841*f**r + 3841*f**3 - 67*f**2 wrt f.
-17040*f**3
Find the second derivative of 330745 - 330745 - 1465*w**2 - 1311*w wrt w.
-2930
Suppose -13*f = -7*f + 26952. Let k = -1921 - f. Differentiate 24 - 2571*m**2 + 32*m**4 + k*m**2 with respect to m.
128*m**3
Let w(h) = 4*h**2 - 19*h - 2. Let l be w(5). Find the third derivative of -24*i + 0*i**3 + 24*i + 149*i**2 - 4*i**3 + 3*i**l - 38*i**5 wrt i.
-2280*i**2 - 6
Suppose 2*o + 5 - 9 = 0. What is the third derivative of -1209*g**3 - g - 8*g + 1209*g**3 + 5*g**o - 19*g**5 wrt g?
-1140*g**2
Let r(v) = 20*v**2 + 29. Let t(a) = -19*a**2 - 30. Let u = 75 - 149. Let p = u - -72. Let h(x) = p*t(x) - 3*r(x). Differentiate h(b) wrt b.
-44*b
Let l(z) be the first derivative of -79*z**4/2 + 25*z**3/3 + z**2/2 - 560*z + 7602. What is the second derivative of l(t) wrt t?
-948*t + 50
Let w(o) be the second derivative of 1/15*o**6 + 91*o + 0*o**4 - 1/6*o**3 + 0 + 0*o**2 - 21/20*o**5. Find the second derivative of w(y) wrt y.
24*y**2 - 126*y
Let t(y) be the second derivative of -8769*y**5/20 + 73*y**4/6 + 11*y**3/3 - 16*y - 49. What is the third derivative of t(h) wrt h?
-52614
What is the first derivative of 983*y + 464 - 32 + 230 + 85*y + 381 wrt y?
1068
Let m = 473 - 465. Find the second derivative of -20*f**2 + 304 - m*f**2 - 305 + 4*f**3 - 7*f wrt f.
24*f - 56
Let l(o) be the third derivative of -o**8/112 - 95*o**7/42 - 7*o**5/30 - 31*o**4/24 - 724*o**2. What is the third derivative of l(y) wrt y?
-180*y**2 - 11400*y
Let q(m) be the second derivative of m**4/6 - 1033*m**3/6 + 6613*m**2/