- 3. Let n(g) = -b(g) + 3*j(g). Find the second derivative of n(s) wrt s.
10
Let u be 6/(3 + -4)*(-4)/8. Let h(q) be the second derivative of 0*q**2 - 11/12*q**4 + 0 + q + 4/3*q**u. Find the second derivative of h(m) wrt m.
-22
Let y(f) = -3*f**4 - f**3 + f**2 + f + 1. Let a(n) = -14*n**4 - n**3 - 14*n**2 + n + 535. Let i(s) = a(s) - y(s). What is the first derivative of i(x) wrt x?
-44*x**3 - 30*x
Differentiate -205*h**3 + 20 + 310 - 95*h**3 wrt h.
-900*h**2
Let d(p) be the second derivative of -p**6/30 - 13*p**5/20 + 89*p**3/6 - p + 10. Find the second derivative of d(u) wrt u.
-12*u**2 - 78*u
Let y(i) be the third derivative of 1/6*i**6 + 0*i + 0*i**5 + 0 - 1/6*i**3 + 19*i**2 + 0*i**4. What is the derivative of y(l) wrt l?
60*l**2
Let w = 33 + -31. What is the third derivative of 13*j**5 - 3*j**2 - 2*j**2 + 0*j**2 - w*j**2 wrt j?
780*j**2
Let q(j) be the second derivative of j**4/3 - 13*j**3/6 + 58*j**2 - 2*j - 153. Differentiate q(o) wrt o.
8*o - 13
Let q = 81 + -69. Differentiate o**2 + q*o**2 + 8*o**2 - 5 + 19 wrt o.
42*o
Let j(f) = -f**4 + f**2 + 4. Let v(w) = -7*w**4 + 6*w**2 - 196*w - 362. Let d(p) = -6*j(p) + v(p). Differentiate d(y) wrt y.
-4*y**3 - 196
Let j(l) = -11*l + 2. Let h be j(3). Let b = -13 - h. Find the first derivative of b - 3*o**4 - 11 - o + o wrt o.
-12*o**3
Let c = -2 + 2. Suppose -y + 3*y - 5*p + 9 = c, -3*y + 3*p = 0. What is the third derivative of -y*s**6 - 6*s**2 + 12*s**6 - 6*s**6 wrt s?
360*s**3
Let x = 77 - 70. What is the first derivative of -7*b**2 + 9 + 1 - x*b**2 - 5 wrt b?
-28*b
Let v(c) = -96*c**2 - 13*c + 10. Let o(m) = m**2 + 2*m + 1. Let g(r) = -5*o(r) - v(r). Find the second derivative of g(p) wrt p.
182
Let t(d) be the second derivative of -65*d**4/3 - 21*d**2 + 100*d. What is the first derivative of t(q) wrt q?
-520*q
Let z(x) be the third derivative of -25*x**8/112 + x**5/20 - 5*x**3/3 - 3*x**2 - 3*x. What is the third derivative of z(s) wrt s?
-4500*s**2
Let m(w) = -273*w**4 - 20*w**3 + 5*w**2 + 7*w - 24. Let n(j) = j**4 + 4*j**3 - j**2 - j + 1. Let y(r) = m(r) + 5*n(r). Find the second derivative of y(u) wrt u.
-3216*u**2
Find the third derivative of 0 - 58*o**5 + 2*o**4 + 589*o**2 - 20 + 14 + 6 wrt o.
-3480*o**2 + 48*o
Suppose 4 = 2*v - 0. Differentiate 5 - 13 - 3*g**v - 2*g**2 - 6*g**2 with respect to g.
-22*g
Let h(l) be the third derivative of -l**8/112 + l**7/30 + 31*l**5/60 + 210*l**2. What is the third derivative of h(q) wrt q?
-180*q**2 + 168*q
Let k(y) = -5*y**2 + 6*y + 4. Let g = 7 - -22. Let f = g - 23. Let h(o) = o**2 + o - 1. Let b(r) = f*h(r) - k(r). What is the first derivative of b(a) wrt a?
22*a
What is the third derivative of -263*b**2 - 127*b**3 - 124*b**3 + 77*b**2 + 5 - 5 wrt b?
-1506
Suppose 0 = -4*h + 2*o + 2*o, -3*h = -2*o. Differentiate h*p**2 - 11 - 6*p**2 + 18 with respect to p.
-12*p
Let v(w) = w**2 - 3*w - 10. Let o be v(7). Suppose -t = -3*h - o, 3*h + 25 = 3*t - 11. Find the second derivative of -t*z**4 - 8*z - 2*z**3 + z**3 + z**3 wrt z.
-108*z**2
Let s(p) = -16*p - 16. Let u(z) be the second derivative of 8*z**3/3 + 7*z**2 - 5*z. Let x(j) = -4*s(j) - 3*u(j). Differentiate x(r) wrt r.
16
Suppose -4*c - 3 + 11 = 0. Let l be (-1 - 0)/((-24)/96). Find the third derivative of -30*a**c + 6*a**4 + 2*a**l + 36*a**2 wrt a.
192*a
What is the derivative of -11 + 223*b - 188 - 22 + 10 wrt b?
223
Find the second derivative of -2*f - 94 - 151*f**2 + 41 + 4 - 62 wrt f.
-302
Let i(l) = -l**2 - l. Let y = -37 + 18. Let w = y - -13. Let k(v) = 3*v**2 + v. Let u(o) = w*i(o) - 3*k(o). What is the second derivative of u(c) wrt c?
-6
Let p(s) = -177*s**2 - s + 15. Let r(k) = 529*k**2 + 2*k - 44. Let f(o) = -7*p(o) - 2*r(o). What is the second derivative of f(d) wrt d?
362
Let a be 2/6*(-5 - -11). Suppose 0 = i - a*i + 4. Find the first derivative of -4 + 8 + 8*m**i - 7*m**4 wrt m.
4*m**3
Let d(m) be the first derivative of -45*m**5 + m**4/4 + 11*m**3/3 - m**2 - 570. Find the third derivative of d(g) wrt g.
-5400*g + 6
Suppose 18*c = 21*c - 9. Find the second derivative of -5*w**3 + 2*w + 5*w + 2*w**c - w**3 wrt w.
-24*w
What is the first derivative of -27 - 3 - 18 + 41*i - 20 wrt i?
41
What is the third derivative of 185*k**3 - 600*k**2 + 47*k - 509*k**3 + 598*k**2 - 202*k**3 wrt k?
-3156
Let k(u) be the third derivative of 257*u**6/120 - u**4/8 + 11*u**3/6 + 222*u**2. What is the second derivative of k(b) wrt b?
1542*b
Let a(u) = -u + 12. Let s be a(4). What is the second derivative of 2*w**4 - 1 + 9*w + s*w**4 + 1 wrt w?
120*w**2
Let z(i) be the first derivative of 9*i + 9 + 0*i**2 - 8/3*i**3. What is the first derivative of z(x) wrt x?
-16*x
Let d(z) be the third derivative of -19*z**8/168 + 5*z**5/12 + 2*z**3/3 - z**2 - 29*z. Find the third derivative of d(o) wrt o.
-2280*o**2
Let p(o) be the first derivative of -4*o**4/3 + 7*o**3/3 + 3*o + 8. Let u(j) be the first derivative of p(j). What is the second derivative of u(c) wrt c?
-32
Let q(y) be the first derivative of 0*y + 0*y**4 + 19 - 17/2*y**2 + 7/2*y**6 + 0*y**5 + 0*y**3. Find the second derivative of q(t) wrt t.
420*t**3
Let k(r) be the third derivative of 27*r**8/112 - r**5/60 + r**3/6 + 31*r**2. What is the third derivative of k(u) wrt u?
4860*u**2
Let t(l) be the second derivative of l**7/21 + 104*l**6/15 - 35*l**4/12 + l**2 - l - 61. What is the third derivative of t(y) wrt y?
120*y**2 + 4992*y
Let h(i) be the second derivative of 23*i**5/20 - i**4/4 + 11*i**3/3 - 3*i**2 + 66*i. Find the second derivative of h(x) wrt x.
138*x - 6
Let x(y) = 13*y**3 + 12*y + 3. Let z(i) = 7*i**3 + 4 + 9*i**3 + 8*i - 3*i**3 + 3*i. Let h(d) = 4*x(d) - 3*z(d). Find the second derivative of h(g) wrt g.
78*g
Let t(v) be the third derivative of -3*v**2 + 0 + 0*v**4 - 17/3*v**3 + 8*v + 0*v**6 - 1/7*v**7 + 1/30*v**5. What is the third derivative of t(p) wrt p?
-720*p
Let k(i) be the first derivative of 0*i**3 + 8*i - 11/2*i**4 + 0*i**2 - 12. What is the first derivative of k(c) wrt c?
-66*c**2
Let z(x) = 6 + 2*x**3 - 21*x**2 + 9*x**2 - x**3. Let o be z(12). Find the third derivative of -8*t**o + t**4 - t**4 - t**2 wrt t.
-960*t**3
Suppose 2*b + 6 = 3*b. What is the third derivative of -749*f**4 + 749*f**4 + 9*f**2 - 30*f**b wrt f?
-3600*f**3
Let b be (-50)/(-8) + (-6)/24. Let w(g) = 8*g**2 - 8*g - 17. Let y(f) = -15*f**2 + 16*f + 35. Let x(u) = b*y(u) + 11*w(u). What is the derivative of x(m) wrt m?
-4*m + 8
Let b(u) be the third derivative of 13*u**10/151200 - 19*u**6/720 - u**5/6 + 8*u**2. Let s(i) be the third derivative of b(i). Differentiate s(n) wrt n.
52*n**3
What is the third derivative of -86 - 197*k**6 + 234*k**2 - 124*k**2 - 112*k**2 wrt k?
-23640*k**3
Let x(h) = -5*h**2 + 2*h. Let t(q) = q**2 + q. Let u = -4 + 7. Let n = u - 4. Let a(g) = n*x(g) - 4*t(g). What is the second derivative of a(f) wrt f?
2
Suppose 4*x = -2*o - 3*o - 68, -4*x - 32 = 2*o. Let h = o + 14. Find the third derivative of -2*k**6 + 7*k**h - 6*k**6 - k**6 wrt k.
-1080*k**3
Let k(j) be the second derivative of 7*j**2 + 0 + 2/3*j**3 + 22*j. What is the first derivative of k(w) wrt w?
4
Differentiate 3*h - 51*h - 84*h + 2*h**2 + 14 - 44*h with respect to h.
4*h - 176
Let z = 12 + -9. Suppose z*k = -3*q + 4*q - 5, -k - 11 = -5*q. Find the third derivative of -2*x**6 - 7*x**2 + 8*x**2 - 3*x**q - 3*x**2 wrt x.
-240*x**3
Let a(j) = 12*j**3 + 4*j - 14. Let b(p) = -p**2 + 2. Let w be b(1). Let o(q) = q. Let v(d) = w*a(d) - 4*o(d). What is the derivative of v(t) wrt t?
36*t**2
Let x(r) = r - 3. Let i be x(-4). Let u be -5 - 3/(-1) - i. What is the second derivative of -6*y**u + 8*y + 0*y - y wrt y?
-120*y**3
Let j(g) = g**3 - 10*g**2 + 13*g - 2. Let z be j(9). Let u be 2/(-5) - z/(-10). What is the derivative of -4*l**3 + 9*l**3 + 7 - u wrt l?
15*l**2
Let v(u) be the third derivative of 7*u**6/3 + 137*u**5/30 - 4*u**2 + 54. Find the third derivative of v(j) wrt j.
1680
Let v be (-5)/((-40)/(-6)) - 70/(-8). Differentiate -v*w**2 - 90 + 83 + w - 2*w wrt w.
-16*w - 1
Let p = 93 + -91. What is the third derivative of -25*g**3 + 44*g**2 - 21*g**p - 6*g**2 wrt g?
-150
Suppose -10 - 7 = -3*i - 2*j, 0 = 2*i - 2*j - 28. Let k = i - 7. Find the third derivative of r**k - 2*r**3 - 4*r**4 + 2*r**3 + 0*r**2 wrt r.
-96*r
Let o(c) be the second derivative of -c**9/126 - c**6/72 - 13