12396*b**2 + 4
Let j = 8 - 3. Let s(w) = -6*w + 32. Let k be s(j). Find the third derivative of 30*x**5 + 9*x**2 - x**5 + 13*x**k wrt x.
1740*x**2
Suppose -10*v = 21 - 71. Let y(s) be the second derivative of s**3 + 0*s**4 + 0*s**2 + 0 - 29*s - 17/20*s**v. Find the second derivative of y(w) wrt w.
-102*w
Suppose -8*q - 260 + 292 = 0. What is the second derivative of -33*i**2 + 9*i + 33*i**2 - 167*i**5 - 24*i**4 + 24*i**4 - q wrt i?
-3340*i**3
Suppose -2*y - 10 = -4*m, -3*y + 13 = 3*m - 17. Suppose 35 = y*n - 0. What is the third derivative of 0*u**2 - 16*u**6 - 5*u**2 - n*u**2 + 44*u**6 wrt u?
3360*u**3
Suppose 2*k - 5*k + 4*q + 114 = 0, -74 = -2*k + 2*q. What is the third derivative of 107*h**6 + 26*h**4 - 2*h + 2*h - 24*h**2 - k*h**4 - 103*h**6 wrt h?
480*h**3 - 192*h
Let f be 140/50*(-165)/(-22). Let y(t) be the first derivative of -16 + f*t + 27/2*t**2. Differentiate y(q) with respect to q.
27
Let i(f) be the first derivative of 6089*f**3/3 - f**2/2 + 2066*f - 2429. What is the derivative of i(j) wrt j?
12178*j - 1
What is the second derivative of -1306*u - 2571*u**3 - 711821*u**2 + 711821*u**2 + 1000*u**3 wrt u?
-9426*u
Differentiate 1617052*k**2 - 1617052*k**2 + 6025*k**3 - 4447 with respect to k.
18075*k**2
Let w(y) be the second derivative of 839*y**6/10 + y**5/10 - 4639*y**2/2 + 1496*y - 2. What is the derivative of w(i) wrt i?
10068*i**3 + 6*i**2
Let t(b) = 501*b + 687. Let m(i) = -500*i - 693. Let g(d) = -3*m(d) - 2*t(d). What is the derivative of g(l) wrt l?
498
What is the second derivative of -15 - 2*b + 301*b**2 + 203*b**2 - 3*b**2 wrt b?
1002
Suppose 446*r - 2 = 445*r. What is the third derivative of 67*u**r - 25*u**2 + 3*u - 41*u**2 - 160*u**3 wrt u?
-960
Let o(u) be the third derivative of 111*u**6/4 - u**4/8 + 64*u**3/3 - 10*u**2 + 19. Find the second derivative of o(s) wrt s.
19980*s
Let y(q) = 8*q + 36. Let z be y(-5). Let c be (-10)/z*(-4 - (-84)/15). What is the third derivative of 30*i**4 + 73*i - c*i**2 - 37*i - 36*i wrt i?
720*i
Let u(k) be the first derivative of -7 - 9*k**3 + 2 - k**2 + 0*k - 28*k. What is the second derivative of u(b) wrt b?
-54
Let g = 94 + -91. What is the third derivative of -5 - w**6 - g*w**4 + 14 - 3*w**2 + w**2 + 3*w**6 wrt w?
240*w**3 - 72*w
Suppose 24*l - 15*l = 36. Let d(o) = -o - 2. Let j(w) = -76*w**3 - 6*w**2 - 4*w - 8. Let q(r) = l*d(r) - j(r). What is the third derivative of q(b) wrt b?
456
Let n(o) = -1949*o**2 - 11*o + 744. Let v(h) = 976*h**2 + 5*h - 373. Let b(y) = -2*n(y) - 5*v(y). What is the second derivative of b(g) wrt g?
-1964
Let z(d) = 14*d**2 + 14*d + 4. Let r be z(-3). What is the third derivative of -6 + 88*p - r*p + 3*p**2 + 12*p**5 - 10 wrt p?
720*p**2
Let p(s) = 98*s**4 - s**2 - 2*s - 10053. Let g(c) = 98*c**4 - c - 10052. Let x(b) = 3*g(b) - 4*p(b). Find the first derivative of x(m) wrt m.
-392*m**3 + 8*m + 5
Let a(k) = -4*k**3 + k**2 + 2*k. Let g(s) = -s**3 + s**2 - 80*s - 34. Let f(v) = -a(v) + g(v). What is the first derivative of f(t) wrt t?
9*t**2 - 82
Let i = -79 + 108. What is the second derivative of i*m - 3 - 37*m**2 + 30*m - 95*m + 32*m wrt m?
-74
Suppose -6*g + 7 = 3*p - 2*g, 5*p - 5*g = 35. Find the third derivative of -p*i**3 - 208*i**2 - 2*i + 12*i**6 + 6*i**6 + 211*i**2 wrt i.
2160*i**3 - 30
Let g = 449 - 456. Let x(b) = -196*b**2 - 56*b + 28. Let f(j) = -j - 4. Let m(i) = g*f(i) - x(i). What is the second derivative of m(u) wrt u?
392
Let i(t) = 48*t**2 + 45. Let r(u) = 0 - 1347*u**2 + 1348*u**2 - 3. Let x(m) = -i(m) + 4*r(m). Find the first derivative of x(f) wrt f.
-88*f
Let y be (4 + -5 + 35)/(4 + -3). Differentiate 43 + 34*s**2 - 3*s**3 + 38*s**3 - y*s**2 wrt s.
105*s**2
Suppose 3*i = -y - i + 22, 0 = 5*y - 5*i - 185. Find the third derivative of -y*d**6 + 38286*d**2 - 72 - 204*d**6 - 38284*d**2 wrt d.
-28560*d**3
Let z be (85 + (0 - -1))*(-4)/(-8). Let y = z + -20. Find the second derivative of -3*o**3 - y*o**4 + 8*o**3 + 29*o - 5*o**3 wrt o.
-276*o**2
Let u(k) = -k**3 + 19*k**2 + 17*k + 62. Let c be u(20). What is the first derivative of -7*t**c - 75 - 8*t**2 + 27*t**2 wrt t?
24*t
Let h(l) = -8*l**3 - 89*l**2 - 26*l - 1. Let j(o) = 15*o**3 + 181*o**2 + 51*o. Let u(x) = 11*h(x) + 6*j(x). What is the second derivative of u(s) wrt s?
12*s + 214
Let j(v) be the second derivative of 0 + 30*v + 0*v**2 + 13/6*v**3 + 0*v**4 + 0*v**6 - 107/42*v**7 + 0*v**5. What is the second derivative of j(b) wrt b?
-2140*b**3
Let d(y) = 37*y**2 + 64. Suppose 0 = 7*g - 14 - 7. Let m(x) = 36*x**2 + 65. Let u(i) = g*d(i) - 4*m(i). What is the derivative of u(f) wrt f?
-66*f
Let q(y) be the second derivative of 673*y**5/10 + 341*y**4/4 - 806*y. Find the third derivative of q(k) wrt k.
8076
Let n(p) be the second derivative of 0*p**4 + 27 + 0*p**5 + 19/10*p**6 - 3/2*p**2 + 1/2*p**3 - 2*p. What is the second derivative of n(s) wrt s?
684*s**2
Let g(y) be the second derivative of 249*y**6/10 - y**3/6 - 1298*y**2 + 1409*y - 1. Differentiate g(o) with respect to o.
2988*o**3 - 1
Let j = -32 + 37. What is the second derivative of -j*u + 14 + 32 + 2*u + 0*u + 2*u - 100*u**2 wrt u?
-200
Suppose 29 = -2*x + 103. Let k = x + -34. What is the third derivative of 16*b**3 + 14*b**2 + 5*b**3 - 5*b**k + b**3 wrt b?
102
Let q(b) = -1878*b + 3361. Let o(t) = -3747*t + 6720. Let d(v) = -3*o(v) + 5*q(v). Find the first derivative of d(z) wrt z.
1851
Let i(s) = -1148*s**2 - 90*s - 809. Let a(q) = -q**2 - 6*q - 1. Let u(y) = -30*a(y) + 2*i(y). What is the derivative of u(t) wrt t?
-4532*t
Let s be 56/44*3 - (-10)/55. Find the third derivative of k + 448*k**3 + 5*k**2 - s*k**5 - 447*k**3 - 6*k**5 wrt k.
-600*k**2 + 6
Let v = 202 - 198. What is the third derivative of 31*u**4 - 73*u**v - 2*u**6 + 40*u**4 - 55*u**2 wrt u?
-240*u**3 - 48*u
Let k(s) = 1204*s**2 - 1102*s - 2. Let f(d) = -2407*d**2 + 2201*d + 5. Let v(j) = 2*f(j) + 5*k(j). What is the second derivative of v(i) wrt i?
2412
Let d = -104 - -133. Let j = -24 + d. Differentiate 12*w**4 + 7 - j - 5 wrt w.
48*w**3
Let v be 2/(8/(-4)*-1) - -8. Suppose -51 = -12*r + v*r. Differentiate -4*c - r*c + 1 - 2 + 5 wrt c.
-21
Let n(x) be the first derivative of -374*x**4 - 5200*x**3/3 + 3009. What is the third derivative of n(p) wrt p?
-8976
Let b be ((-2)/(-3))/((-3)/(-27)*3). Find the third derivative of b + 124*g**2 + 0*g**3 + g**3 - 52*g**4 - 125*g**2 wrt g.
-1248*g + 6
Suppose -16*v - 32 = -20*v. Suppose 5*f - v = -2*m + 6*f, 5*m - 3*f = 22. Differentiate -4*w**m - 33 - 53*w**2 + 92*w**2 with respect to w.
70*w
Suppose 5*x + 240 = -4*n, 0 = x + 2*n + 30 + 18. Let a be 10 - (x/(-14) + 21/(-49)). Differentiate a + 25*u - 7 + 13 - u wrt u.
24
What is the second derivative of 29*r**4 - 23*r**4 - 7*r**2 - 98*r + 350 + 45*r + 7*r**3 + 5*r**3 + 50*r wrt r?
72*r**2 + 72*r - 14
Let r(a) be the second derivative of 37*a**2 - 81/10*a**5 + 3*a - 1/6*a**4 + 8 + 1/3*a**3. What is the second derivative of r(n) wrt n?
-972*n - 4
Let o(s) = 6365*s**2 + 10*s - 990. Let w(m) = -3183*m**2 - 6*m + 495. Let i(k) = 3*o(k) + 5*w(k). Differentiate i(c) wrt c.
6360*c
Let q(h) = -91*h**4 - 6*h + 19. Let p(z) = -23*z**4 + 7*z - 10572 + 10553 + 116*z**4. Let s(y) = -6*p(y) - 7*q(y). What is the first derivative of s(n) wrt n?
316*n**3
Let k(z) = 22*z - 15. Let i(s) = -66*s + 45. Let c be 4/5 + 26/5. Let b(x) = c*i(x) + 21*k(x). What is the derivative of b(d) wrt d?
66
Let t = -3782 + 3782. Let d(i) be the third derivative of -1/10*i**6 + 1/4*i**4 + t + 0*i + 11*i**2 + 0*i**3 + 0*i**5. Find the second derivative of d(k) wrt k.
-72*k
Let j = -193 - -193. What is the third derivative of -13*f**2 + 25*f**2 + 11*f**5 + j*f**2 + 4*f**3 wrt f?
660*f**2 + 24
Let h(c) be the first derivative of -114 - 31/5*c**5 + 0*c**4 + 55*c - 2/3*c**3 + 0*c**2. Differentiate h(u) with respect to u.
-124*u**3 - 4*u
Find the third derivative of -3 + 5 + 2721*u**2 + 569*u**4 - 1308*u**2 - 1078*u**2 + 21*u**4 wrt u.
14160*u
Find the first derivative of -791*j**3 - 18873 + 20675 + 581*j**3 - 528*j**3 - 839*j**3 wrt j.
-4731*j**2
What is the third derivative of 19*t**4 - 545*t**2 + 210 + 1084*t**2 - 1631*t**4 - 544*t**2 wrt t?
-38688*t
Let y(z) = -z**2 - 24*z - 106. Let c be y(-18). Find the third derivative of p - 11*p**2 - 35*p**2 + 49*p**5 + 4*p**c + 137*p**5 wrt p.
11160*p**2
Suppose -w + 11