3
Let s(u) be the third derivative of 1 + 0*u**3 + 11*u**2 - 3/5*u**6 - 1/24*u**4 - 19/20*u**5 + 0*u. What is the third derivative of s(z) wrt z?
-432
Let m be (-6)/(-4)*(-19 - -21). Suppose m*l - 406 = -4*f, 8 = 2*l + 2*l. Find the third derivative of -7*b**6 + 107*b**2 - 2*b**6 - f*b**2 wrt b.
-1080*b**3
Find the second derivative of 1155*r**3 + 4391*r - 2149*r**3 + 941*r**3 wrt r.
-318*r
What is the first derivative of m**4 - 3*m**4 + 4*m - 8716 - 4*m - 40*m**3 - 4737 - 2*m wrt m?
-8*m**3 - 120*m**2 - 2
Let w(u) = u + 3. Let j(z) = -7*z**3 + 331*z**2 - 8*z - 43. Let x(c) = j(c) - 3*w(c). Find the second derivative of x(g) wrt g.
-42*g + 662
What is the third derivative of -123019*o**5 + 2*o**2 - 2*o + 120500*o**5 + 20 + 4*o - 63 wrt o?
-151140*o**2
Find the third derivative of -590*b**2 - 136*b**2 + 282*b**3 + 541*b**3 - 201*b**3 + 0 + 2 wrt b.
3732
Let k(l) = 3*l + 3. Let z = 58 - 57. Let r be k(z). What is the third derivative of -12*f**6 + 17*f**2 - 7*f**6 - 10*f**r wrt f?
-3480*f**3
Let f(m) = 4073*m**4 + 5*m**2 + 3*m - 343. Let h(r) = -6096*r**4 - 7*r**2 - 4*r + 515. Let k(b) = -7*f(b) - 5*h(b). What is the second derivative of k(i) wrt i?
23628*i**2
Let y(d) = -4*d**3 + 2*d + 3. Let m(c) = -1978*c**3 + 5*c**2 - 11*c - 9. Let h(k) = m(k) + 2*y(k). Find the third derivative of h(i) wrt i.
-11916
Let w(r) = 7411*r + 6366. Let a(m) = 20380*m + 17510. Let s(l) = 9*a(l) - 25*w(l). What is the derivative of s(o) wrt o?
-1855
Let k(t) = t**3 + 15*t**2 + 27*t + 32. Let j be k(-13). Find the third derivative of 37*d**2 + 2*d**3 + 51*d**3 + j*d**3 wrt d.
432
Let l be (5384/(-44))/(-2) + 4/(-22). What is the first derivative of 1141*d - 1135*d + l + 9*d**2 - 10*d**2 wrt d?
-2*d + 6
Let u(s) be the second derivative of -s**7/14 + 547*s**5/20 + 7*s**3/6 + 18*s**2 + 223*s. What is the second derivative of u(v) wrt v?
-60*v**3 + 3282*v
Let k(m) = 3*m + 10. Let t be k(-9). Let x(r) = 2*r + 36. Let g be x(t). Find the third derivative of 4*q**2 - 17*q**5 + 2*q**2 - 2*q**g - 5*q**2 wrt q.
-1020*q**2
Let m be (6 - 18)/(-4) + -1. What is the second derivative of -1909*c**m + 894*c**2 + 883*c**2 - 49*c wrt c?
-264
Suppose 420 - 8 = 206*m. Let s(h) be the second derivative of -1/2*h**m + 3*h - 19/12*h**4 + 0 + 0*h**3. What is the first derivative of s(f) wrt f?
-38*f
What is the derivative of 1965*n**3 - 1838 + 180*n**3 - 1709 + 1436 wrt n?
6435*n**2
Suppose -10*o = -14*o + 12. Let z(k) be the first derivative of 23 + 7*k**6 - 5*k**6 + 8*k**5 - 3*k**o - 8*k**5. What is the third derivative of z(m) wrt m?
720*m**2
Let d = 251 - 246. What is the second derivative of -111*g**d - 121*g**5 - 42*g + 19*g**5 - 68*g - 123*g**5 wrt g?
-6720*g**3
Let c(i) = 660*i**4 - 2*i**3 - 2*i**2 + 89*i + 7. Let s(r) = -r**3 - r**2 + r. Let u(b) = c(b) - 2*s(b). What is the second derivative of u(l) wrt l?
7920*l**2
Let s(v) = 19*v**3 - 16*v - 1051. Let d(c) = -3*c**3 - c + 1. Let n(k) = -6*d(k) - s(k). What is the derivative of n(z) wrt z?
-3*z**2 + 22
Let n(j) be the second derivative of j**5/20 - 13*j**4/24 - 89*j**3/6 - 96*j**2 + 94*j. Let g(o) be the first derivative of n(o). Differentiate g(d) wrt d.
6*d - 13
Let g(d) = -111*d**4 + 3*d**3 + 11. Let j be -1*20*(-2)/10. Let f(a) = 111*a**4 - 4*a**3 - 11. Let b(h) = j*g(h) + 3*f(h). Differentiate b(l) wrt l.
-444*l**3
Let s(p) be the third derivative of p**5/30 + 253*p**4/24 + 491*p**3/2 + 11*p**2 + 17. Find the first derivative of s(g) wrt g.
4*g + 253
Let d(p) be the third derivative of 0*p**4 + 0*p**3 - 83/60*p**5 + p**2 - 7/120*p**6 + 126 + 0*p. What is the third derivative of d(u) wrt u?
-42
Let s(q) be the third derivative of -2707*q**6/120 - 3905*q**4/6 - 11*q**2 + 748*q. What is the second derivative of s(x) wrt x?
-16242*x
Let o be 138/8 - (19/(-4) + 5). What is the second derivative of 4 + 69*k**2 + o*k**2 + 18*k + 7*k**2 wrt k?
186
Let c(x) = -x**3 - x**2 + 3*x + 19. Let k be c(0). Find the first derivative of 17 - 2 - 16*p**3 - k*p**3 + 9 wrt p.
-105*p**2
Suppose 0*w + q + 8 = 2*w, -5 = -5*w - 5*q. Find the second derivative of -13*r - w - 4*r**3 + 16*r**5 - 88*r**4 + 88*r**4 - 14*r**5 wrt r.
40*r**3 - 24*r
What is the first derivative of -10300 - 10765 + 5357 + 11239*z wrt z?
11239
Differentiate -144*i**3 + 866 - 395 - 30*i**3 + 445 - 939*i**3 wrt i.
-3339*i**2
Let o be 187 + (-36)/(-4) + -7. What is the second derivative of -3*h - 66*h**5 + 11*h**5 - 205 + o wrt h?
-1100*h**3
Let g(n) = -2*n**3 + 35*n**2 - 47*n - 5. Let r be g(16). Differentiate -r*m**4 - 16 - 52*m**4 + 14 + 88 - 29*m**4 wrt m.
-368*m**3
Let w(q) = 59*q**2 - 77*q + 10. Let s(a) = 0 + 7 - 2 - 3. Let r(l) = -5*s(l) + w(l). What is the second derivative of r(k) wrt k?
118
What is the third derivative of -2905906*g - 296*g**3 + 2905906*g - 2098*g**2 wrt g?
-1776
Let a(d) be the third derivative of 0*d - 23/3*d**3 + 30*d**2 - 5/4*d**4 - 2. What is the first derivative of a(p) wrt p?
-30
Find the second derivative of -o**3 + 4 - 55716*o**2 + 11*o + 4 + 88*o**4 + 55714*o**2 + 790*o**4 wrt o.
10536*o**2 - 6*o - 4
Let x(b) be the second derivative of -319*b**7/42 - b**4/6 - 185*b**3/3 + b**2 + 9114*b. What is the third derivative of x(g) wrt g?
-19140*g**2
Let g be 9*4/90 + (-26)/(-10). Let p(o) be the second derivative of 3*o**2 - 2*o + 0*o**g + 0 + 0*o**4 - 3/5*o**5. Differentiate p(w) with respect to w.
-36*w**2
Let y(u) be the second derivative of 176*u**6/15 - u**4/12 - 2*u**3/3 - 7927*u**2/2 + 59*u + 40. Differentiate y(b) with respect to b.
1408*b**3 - 2*b - 4
Let c(d) be the second derivative of -23/12*d**4 - 1/10*d**5 + 13 - 4*d + 0*d**3 + 255/2*d**2. Differentiate c(b) wrt b.
-6*b**2 - 46*b
Find the second derivative of 436 + 1454*a + 431 - 1296 + 1701*a**2 + 426 + 2899*a**2 wrt a.
9200
Let k(u) be the third derivative of 157*u**5/15 + u**4/24 - 185*u**3/2 - 2*u**2 + 4. Find the first derivative of k(b) wrt b.
1256*b + 1
Let r = -2479 + 2479. Let b(v) be the first derivative of -10 + 0*v**3 - 8*v + r*v**2 + 3/2*v**4. What is the first derivative of b(m) wrt m?
18*m**2
Find the third derivative of -475762*s**3 - 2998*s**2 + 471018*s**3 - 22 + 2*s - s + 22 wrt s.
-28464
Find the third derivative of -646*c**2 - 3*c**4 + c**4 - 808*c**2 - 185*c**6 + 1366*c**2 - 23 + 7*c**3 wrt c.
-22200*c**3 - 48*c + 42
Let v(q) be the second derivative of 29*q**4/2 - 410*q**3/3 + 2*q + 4. Find the second derivative of v(o) wrt o.
348
Let w(n) be the first derivative of -900*n**5 + 74 + 911*n**5 + 13*n + 10*n. Differentiate w(y) with respect to y.
220*y**3
Let j = -1006 + 1008. What is the third derivative of -34669*a**4 - a + 34508*a**4 + 17*a**j + 3*a wrt a?
-3864*a
What is the second derivative of -1008393 + 1008393 + 2035*x - 1435*x**2 wrt x?
-2870
Let c = 22 - 9. Let j(n) = n**2 - 13*n + 14. Let a be j(12). Find the first derivative of a*v - v + c + v wrt v.
2
Let n(f) = -2*f + f + 39*f**3 - f**2 - 38*f**3. Let w(d) = -29*d**3 + 143*d**2 - 4*d. Let y(q) = 4*n(q) - w(q). Find the third derivative of y(v) wrt v.
198
Let b = -6525 + 19588/3. Let i(j) be the second derivative of 0 + 0*j**2 - b*j**3 - 13*j + 17/6*j**4. What is the second derivative of i(a) wrt a?
68
Find the third derivative of 2*c**4 - 3*c**4 + 249*c**2 + 257*c**3 - 850*c**2 + 96*c**2 - 654*c**2 wrt c.
-24*c + 1542
Let j(w) be the third derivative of w**5/30 + 245*w**4/12 + 2965*w**3/6 - 129*w**2 - 2*w. Differentiate j(h) wrt h.
4*h + 490
Let p = 57564/5 + -11508. Let t(c) be the first derivative of 0*c + 20/3*c**3 + 23 + p*c**5 + 0*c**2 + 0*c**4. Find the third derivative of t(i) wrt i.
576*i
Let u(l) = 5*l**3 + 56*l - 4. Let n = -19 - -16. Let g(f) = -4*f**3 + f**2 - 57*f + 3. Let t(q) = n*u(q) - 4*g(q). What is the second derivative of t(m) wrt m?
6*m - 8
Let x be (-2)/(-3) + 1394/492. Let s(g) be the second derivative of -15/2*g**2 + x*g**3 - 9*g + 0. What is the first derivative of s(u) wrt u?
21
Let w(n) = -177*n**4 - 9*n + 208. Suppose -5*y - 18 = -28. Let v(j) = -44*j**4 - 2*j + 52. Let r(m) = y*w(m) - 9*v(m). Differentiate r(q) with respect to q.
168*q**3
Let p(w) be the second derivative of -w**7/42 + w**6/10 + 14*w**4/3 + 1717*w**3/3 - w**2 + 2*w + 229. What is the second derivative of p(q) wrt q?
-20*q**3 + 36*q**2 + 112
Let j(o) be the first derivative of -29*o**7/840 - 29*o**4/8 