f**3 + 16*f**2 + 83*f + 678. Let w(y) = k(y) - 4*o(y). Differentiate w(a) wrt a.
15*a**2 + 75
Let v(b) = 19*b**3 - 185*b**2 - 6*b - 2570. Let m(z) = -2*z**3 + z**2 + z + 8. Let d(y) = 6*m(y) + v(y). Differentiate d(n) wrt n.
21*n**2 - 358*n
Let i(s) = s**3 - 411*s**2 - 2*s - 609. Let c(q) = -4*q**3 + 1234*q**2 + 7*q + 1824. Let m(g) = 2*c(g) + 7*i(g). What is the first derivative of m(j) wrt j?
-3*j**2 - 818*j
What is the second derivative of 165*o**2 + 98*o**3 - 1 + 540*o**3 - 159*o**2 + 58*o - 85*o**3 wrt o?
3318*o + 12
Let v(q) be the first derivative of -710*q**7/7 + q**3/3 + 120*q**2 + 907. What is the third derivative of v(c) wrt c?
-85200*c**3
Suppose 4*g + 3*c + 144 = 0, -2*g + 2*c - 54 = -c. Let m = 46 + g. What is the first derivative of 5*b - 9*b + 4*b + m + 2*b**3 wrt b?
6*b**2
What is the second derivative of 9836*g**4 - 3*g**2 - 10474*g**4 + 2200*g + g**2 wrt g?
-7656*g**2 - 4
Let s be -1 + 3 - (-38 + 22). What is the second derivative of -s*j**3 - 5 - 31*j + 3 + 29*j - j**2 - 75*j**3 wrt j?
-558*j - 2
Find the third derivative of 394*w**2 - 396*w**2 - 874*w**5 + 25*w + 35*w wrt w.
-52440*w**2
Let o = -42 + 57. Let l be 16 - (-2)/(-3)*o/(-10). Find the third derivative of -l*n**5 + 2*n**2 + 3*n**6 + 17*n**5 wrt n.
360*n**3
Let t(y) = y**2 + 5*y - 10. Let f be t(-7). Suppose 3*s + 6 = f*s. What is the derivative of -18 + 8 + 19 - s*w wrt w?
-6
What is the third derivative of 7038*s**2 + 916 + 914 - 2236*s**3 + 911 - 2741 wrt s?
-13416
Find the third derivative of -967 + 1867*p**5 - 97629*p**4 + 38 + p**2 - p**6 + 97629*p**4 wrt p.
-120*p**3 + 112020*p**2
Let i(l) = 8762*l - 4398. Let y(b) = -13147*b + 6596. Let a(c) = 8*i(c) + 5*y(c). Differentiate a(j) wrt j.
4361
Let i(m) be the first derivative of -2*m**5/5 + 205*m**4/2 - 695*m + 1157. Find the first derivative of i(w) wrt w.
-8*w**3 + 1230*w**2
Suppose -2*y = -5*q - 77, -4*y - 65 + 249 = -4*q. Let s(k) be the first derivative of y - 29*k - 63 - 22*k**2 + 0*k. What is the first derivative of s(c) wrt c?
-44
What is the second derivative of -34 - 16*y - 83 - 12 - 39 + 20*y + 7348*y**2 wrt y?
14696
What is the third derivative of 1049*l**4 + 2405*l**4 + 605*l**2 - 54*l**2 wrt l?
82896*l
What is the second derivative of -3627*z**2 + 626 - 776 + 3*z + 7575*z**2 + 5334*z**2 wrt z?
18564
Let x = 5 + -6. Let u(z) = -z - 1. Let p(c) = -11*c + 38*c - 21*c - 19*c - 27. Let j(t) = x*p(t) + 4*u(t). Find the first derivative of j(s) wrt s.
9
Suppose 2*w - 3*k + 79 = 0, 4*w - 2*k - 19 + 165 = 0. Let s = -9 - w. Differentiate -s + b**2 + 18*b - 18*b wrt b.
2*b
Let h(l) be the third derivative of 0 + 0*l**6 + 2/3*l**4 + 50*l**2 + 0*l**5 - l - 3/10*l**7 + 0*l**3. Find the second derivative of h(a) wrt a.
-756*a**2
Find the third derivative of -150371*z**5 + 147380*z**5 - z**2 - 743*z + 3*z**2 wrt z.
-179460*z**2
Let j(n) = 2*n - 17. Let o be j(8). Let c be -48*8/3*o. What is the derivative of -6 - 12 + 140*f - c*f wrt f?
12
Suppose 0 = -h - 5*l + 32, 0 = 2*h - h - 5*l - 52. Let a be h + -1 + 24/8. What is the second derivative of a*s**4 + 3*s - 94*s**4 + 33*s**4 - 9*s wrt s?
-204*s**2
Differentiate 624*x**4 + 626*x**4 - 2812 + 2*x**3 - 1564*x**4 wrt x.
-1256*x**3 + 6*x**2
Suppose -2*m - 5*a + a = -30, 5*m - 83 = -2*a. Let o = 22 - m. Find the second derivative of -2*b - 52*b**o - 9*b + 34*b**5 wrt b.
-360*b**3
Let j = -56 + 60. Let p be (-1)/2 - (10/j)/(-1). Find the second derivative of 141 - 141 - 19*i + 11*i**p wrt i.
22
Let j(h) be the first derivative of 5*h**3 + 1/2*h**2 + 0*h**4 - 127*h + 0*h**5 + 1/6*h**6 - 44. What is the second derivative of j(b) wrt b?
20*b**3 + 30
Suppose 5*q - 158 = -w, 3*q - w = 3*w + 81. Find the third derivative of -q*t - 62*t**3 + t**2 + 74*t**3 + t**2 - 3*t**2 - 60*t**3 wrt t.
-288
Let u(t) be the first derivative of 1011*t**3 - 2955*t**2/2 - 2532. Find the second derivative of u(h) wrt h.
6066
Let g(x) be the first derivative of -57/2*x**4 + 2/3*x**3 + 0*x**2 - 268*x + 208. Differentiate g(r) wrt r.
-342*r**2 + 4*r
Let w be (16/4 - 1) + 31. What is the first derivative of -w*b**2 + 103*b**2 + 315 - 395 wrt b?
138*b
Let b = -48 + 157. Find the first derivative of 0*j**2 + 0*j**2 + 6*j - b + 2*j**2 + 91 wrt j.
4*j + 6
Let v(z) be the first derivative of 0*z**4 - 148/5*z**5 - 3*z**3 + 0*z**2 - 130 + 0*z. Find the third derivative of v(t) wrt t.
-3552*t
What is the third derivative of 21*l**3 - 3581*l**2 - 1376*l**3 - 20*l**3 + l**4 wrt l?
24*l - 8250
Let n(c) = -8429*c**2 - 289*c + 41. Let x(w) = 12643*w**2 + 432*w - 57. Let v(s) = -7*n(s) - 5*x(s). Find the second derivative of v(r) wrt r.
-8424
Let r(b) be the first derivative of -41 + 0*b**3 - 11/2*b**2 - 5*b + b**4. What is the first derivative of r(f) wrt f?
12*f**2 - 11
Let a(m) be the second derivative of -m**8/14 + 329*m**6/30 + 11*m**4/12 - 13*m**3/6 - 2770*m. What is the third derivative of a(p) wrt p?
-480*p**3 + 7896*p
Let r(o) be the first derivative of -1645*o**3 + o**2/2 + 1759*o + 3291. What is the second derivative of r(s) wrt s?
-9870
Let i(c) be the third derivative of 101*c**6/10 + 43*c**5/20 - c**4/12 + 5*c**2 - 50*c. What is the third derivative of i(l) wrt l?
7272
What is the third derivative of -2343*b**6 - 3629*b**2 + 840*b**2 + 2*b**4 + 2*b**4 - 4*b**4 wrt b?
-281160*b**3
Suppose 2*k - 9 = 5*k. Let j(a) = a**2 + 4*a + 7. Let f be j(k). Differentiate 8*z**4 - 22*z**f + 19 - 1 with respect to z.
-56*z**3
Let t be -9 - -9 - (0 + 0). Suppose -i + t*i - 85 = -q, 0 = 3*q - 5*i - 255. What is the first derivative of -12*m**3 - q + 46 + 49 wrt m?
-36*m**2
Let r = -1 - 34. Let h be 10/r + 0 - (-646)/7. Differentiate 98 + h - 194 + 5*u**2 wrt u.
10*u
Let f(i) = 2*i**2 + 5*i - 4. Let r be f(1). Suppose 0 = 4*y - 4*s - 76, -y = -4*s + r - 28. Differentiate -18 + 11 + 33*m**3 - y wrt m.
99*m**2
Suppose 4*d - 18 = -5*b, -4*b = -d - b - 4. Find the second derivative of 177*p**3 + 9*p - d*p + 4 + 8*p - 11 wrt p.
1062*p
Let r(d) be the second derivative of 559*d**4/2 - 1735*d**3/3 + 18*d - 42. What is the second derivative of r(c) wrt c?
6708
Let s(o) be the second derivative of -o**6/30 - 84*o**5/5 + 257*o**4/3 - o**2/2 - 58*o - 16. What is the third derivative of s(b) wrt b?
-24*b - 2016
Suppose 15 = 5*x - 0*x, -3*x + 177 = -2*i. Let k = i + 87. Find the third derivative of 18*t**2 + 111*t**3 - 84*t**k - 2*t**2 wrt t.
162
Suppose -10*p = -0*p - 40. What is the third derivative of 21 + s**2 + 0*s**2 - 25 + 23 + 21*s**p wrt s?
504*s
Let j(b) = b**4 - 3*b**2 - b. Let z(h) = h**4 + 9*h**3 + 101*h**2 - 6926*h. Let a(r) = 2*j(r) - z(r). What is the second derivative of a(m) wrt m?
12*m**2 - 54*m - 214
Let z(t) be the third derivative of 4*t**6/5 + 31*t**4/24 - 1417*t**3/2 + 1564*t**2 - 2*t. Differentiate z(u) with respect to u.
288*u**2 + 31
Let l = 2 - -3. Suppose 3*f + f + 2*y = 6, 0 = -4*f + l*y + 41. What is the third derivative of -7*t**2 + t**3 - t**3 + 26*t**f - 14*t**4 wrt t?
288*t
Let y(x) be the third derivative of 0 + 71*x**2 + 1/15*x**5 + 1/6*x**4 + 0*x + 0*x**3 + 23/60*x**6. What is the third derivative of y(c) wrt c?
276
What is the second derivative of -355*s**2 - 9 + 294*s**2 + 968*s**2 - 379*s + 7 wrt s?
1814
What is the third derivative of 394*n**5 - 24471*n**3 + 24471*n**3 - 2 - 140*n**2 wrt n?
23640*n**2
Let t be -5 + 1 + (41 - -3) + -2. Differentiate -t*c**4 - 48 - 521*c**2 + 521*c**2 wrt c.
-152*c**3
What is the third derivative of -345*b**5 + 320*b - 309*b + 42*b**2 - 456*b**5 - 13 + 13 wrt b?
-48060*b**2
Let a be (-10)/(-3) + 1/(-3). Suppose -51 = -4*p - 4*y - 39, -p + 5 = -y. What is the first derivative of -2*o**a - 13*o**3 + 21 + 15*o**3 + 6*o**p wrt o?
24*o**3
Find the second derivative of -5832*v**4 + 4897*v**4 + 1229*v - 3658*v**4 - 6172*v**4 wrt v.
-129180*v**2
Suppose l + 1209 - 1211 = 0. Let a(r) be the second derivative of 11*r - 2/3*r**4 + 0 - l*r**3 + 0*r**2. Find the second derivative of a(d) wrt d.
-16
Find the third derivative of 551*t**2 + 2642341 - 4305*t**3 - 2642341 wrt t.
-25830
Let q(h) be the second derivative of 77/30*h**6 + 0*h**3 - 25/4*h**4 + 0*h**2 + 0 + 59*h + 0*h**5. What is the third derivative of q(j) wrt j?
1848*j
Let s(t) = -7*t - 3. Let r be s(-1). Suppose -5*c - 12 + 2 = 0, -r*g + 18 = c. Find the first derivative of 2*a**3 + g*a**3 + 15 + 10*a