- 1, -5*m = -5*j. Differentiate -9*z**2 + 2*z**2 + 0*z**j - 1 + 0*z**2 with respect to z.
-14*z
Let d(v) = -v**2 + 6*v - 3. Let u be -3 + 7 + (3 - 2). Let l be d(u). What is the third derivative of n**6 - n**6 + 3*n**6 - 4*n**l + n**6 wrt n?
480*n**3
Let f(z) = 49*z**3 + 202*z**2 + 7*z + 7. Let g(l) = 16*l**3 + 67*l**2 + 2*l + 2. Let d(h) = 2*f(h) - 7*g(h). What is the third derivative of d(y) wrt y?
-84
Let u(a) = -a - 3. Let z be u(6). Let d = z + 17. What is the first derivative of p**2 + d*p**2 - 3*p**2 + 3 wrt p?
12*p
Let o(l) = 48*l**6 + 2*l**3 - 4*l - 14. Let n(c) = -95*c**6 - 3*c**3 - c**2 + 7*c + 28. Let g(b) = 4*n(b) + 7*o(b). What is the third derivative of g(z) wrt z?
-5280*z**3 + 12
Suppose 4 + 6 = 5*y. Let c be ((-4)/(-3))/(4/6). Find the second derivative of -p + 4*p**3 + 3*p - p**c + p**y wrt p.
24*p
Let i(o) = 43*o**4 + 7*o**2 + 17*o - 1. Let f(n) = 44*n**4 + 6*n**2 + 15*n - 1. Let r(h) = -7*f(h) + 6*i(h). Find the second derivative of r(q) wrt q.
-600*q**2
Suppose -4*j - f + 112 = j, -5*j - 2*f = -109. What is the derivative of j*a**4 + 249*a**2 - 29 - 249*a**2 wrt a?
92*a**3
Let u(k) be the first derivative of -k**5/5 + k**4 - 3*k + 15. Let r(d) be the first derivative of u(d). Find the third derivative of r(x) wrt x.
-24
Let f(b) = 614*b**3 - 10*b - 807. Let q(r) = 616*r**3 - 8*r - 808. Let j(w) = -4*f(w) + 5*q(w). What is the derivative of j(a) wrt a?
1872*a**2
Let i(y) be the second derivative of 3/4*y**5 + 0*y**3 + 0 + 0*y**4 + y + 6*y**2. Differentiate i(b) wrt b.
45*b**2
Let j be -4 - (-24)/3 - -12. What is the third derivative of -3*f**4 - j*f**4 + 6*f**4 - 10*f**2 wrt f?
-312*f
Suppose -d - 4*a - 5 = -35, 28 = d + 3*a. Suppose 7 - d = -5*o. What is the first derivative of -r**o - 3*r**3 + 4 - 1 + r**3 wrt r?
-9*r**2
Let v = 4 + 0. What is the third derivative of v*f**5 - 5*f**5 + 2*f**5 + 5*f**5 - 9*f**2 wrt f?
360*f**2
Suppose -11*f + 26 + 7 = 0. Find the third derivative of -8*i**2 - 22*i**2 + 13*i**3 - 33*i**f + 0*i**2 wrt i.
-120
Let k(z) = -z**3 - 26*z**2 + 2*z + 56. Let a be k(-26). Let g(p) be the second derivative of 5/6*p**3 - 2*p**2 - a*p + 0. Differentiate g(f) with respect to f.
5
Let f(l) be the second derivative of 17*l**6/30 - l**4/12 - 93*l**2/2 + l - 37. Differentiate f(j) wrt j.
68*j**3 - 2*j
Let k(w) = 12*w + 4. Let c be k(3). What is the second derivative of -3*j**4 - 40 + 7*j + c wrt j?
-36*j**2
Let w(h) be the second derivative of 31*h**6/15 - 34*h**3/3 - 2*h - 3. What is the second derivative of w(j) wrt j?
744*j**2
Let d(b) = -3*b + 1. Let j be d(2). Let k(n) = n**2 + 5*n + 2. Let u be k(j). Find the second derivative of m**4 - m - u*m + 5*m wrt m.
12*m**2
Let c(h) be the first derivative of -259*h**4/4 - 93*h**3 + 37. What is the third derivative of c(s) wrt s?
-1554
Let d(f) be the second derivative of -301*f**3/6 + 24*f**2 - 9*f + 2. What is the derivative of d(t) wrt t?
-301
Suppose -4*b = -2*o, -4*b + 27 - 11 = 0. Suppose 0*w = 4*w - o. What is the first derivative of -5*v**2 - v**w - 5 - 1 wrt v?
-12*v
Suppose -4*o + 13 = 4*x - 19, -12 = -2*o - 3*x. Suppose 2*z - 3*a - o = -z, -4*a - 12 = -3*z. Differentiate 0*h**4 + 3*h**z + 1 - 5*h**4 - 4 with respect to h.
-8*h**3
Let s(x) = -x**3 - 9*x**2 - 9*x + 4. Let g be s(-8). Let b = -8 + g. What is the second derivative of -2*y + 5*y**4 + 5*y**4 - 17*y**b wrt y?
-84*y**2
Let d = -52 + 57. What is the second derivative of 13*n**d + 3*n**3 - 3*n**3 - 4*n - 29*n**5 wrt n?
-320*n**3
Suppose -3*b - 335 = 2*f, b - 677 = 4*f - 0*f. Let r be (-26)/f + (-74)/(-26). Find the third derivative of -5*l**4 + 3*l**2 - r*l**2 - 2*l**4 - l**2 wrt l.
-168*l
Let i(x) be the first derivative of 2*x**6/15 + 5*x**4/6 - 13*x - 14. Let n(v) be the first derivative of i(v). Find the third derivative of n(u) wrt u.
96*u
Let o(w) be the first derivative of w**7/210 + w**5/6 + 3*w**2/2 - 17. Let s(h) be the second derivative of o(h). What is the third derivative of s(r) wrt r?
24*r
Suppose 3*n + 5*f = -46 - 0, -3*f = -5*n - 20. Let j = n - -10. What is the second derivative of -3*r**3 + 3*r + 0*r**3 + 3*r**j + r**3 wrt r?
6*r
Let a(o) = 2*o - 10. Let t be a(6). Find the third derivative of -2*g**3 + 8*g**t - g**3 + 0*g**2 wrt g.
-18
Suppose -2*g + 6 = 2*w, -11 = -5*g - 3*w + 6. What is the third derivative of -56*u**4 + 35*u**5 + 34*u**2 + 56*u**g wrt u?
2100*u**2
What is the second derivative of -91*w - 81*w + 35*w**3 + 161*w wrt w?
210*w
Suppose -4*z - 5*a = -0*a - 16, -3*a = 3*z - 9. Let t = z - -9. What is the third derivative of t*k**5 + 7*k**2 - 6*k**2 + 6*k**2 wrt k?
480*k**2
Let p = -376 + 385. Let t(o) be the second derivative of -1/12*o**4 + o**2 + 0 + p*o + 0*o**3. What is the first derivative of t(g) wrt g?
-2*g
Let s(v) = -3*v + 4*v + 3*v - 2*v - v**3. Let c be s(-2). What is the derivative of -5*z**3 + 7*z**3 - z**3 - c wrt z?
3*z**2
Find the second derivative of 229*a**5 - 11*a + 23*a**4 - 40*a**4 - a**3 - 12 + 17*a**4 wrt a.
4580*a**3 - 6*a
Find the second derivative of 4681*w**5 - 112*w - 2*w**3 + 2*w**3 - 4773*w**5 wrt w.
-1840*w**3
Let p be 3*(-8)/12*-1. What is the first derivative of -33 + 13 + 4 - 11*s**p wrt s?
-22*s
Let l(f) be the second derivative of -f**5/10 + 7*f**3 - 17*f**2 - 29*f + 1. Differentiate l(m) with respect to m.
-6*m**2 + 42
Let z(t) = 5*t - 33. Let a(v) = 2*v - 11*v + 32 + 3*v. Let y(h) = -5*a(h) - 4*z(h). What is the first derivative of y(w) wrt w?
10
Suppose 0 = 4*s - 5*s - 4*a + 77, -2*s = -a - 118. Find the third derivative of -4*m**2 - m**4 + m**4 - 76*m**5 + s*m**5 wrt m.
-900*m**2
Let a(i) = 255*i**2 + 16*i - 6. Let c(r) = 127*r**2 + 7*r - 2. Let w(o) = 3*a(o) - 7*c(o). What is the second derivative of w(z) wrt z?
-248
Let d be 1/((-20)/12 + 2 + 0). Find the second derivative of 433*j**2 + 29*j + 34*j**d - 433*j**2 wrt j.
204*j
Let l(m) = 2*m**3 + m. Let r(n) = -11*n**3 - 3*n - 83. Let x(a) = 6*l(a) + r(a). Differentiate x(o) wrt o.
3*o**2 + 3
Let z(l) = -301*l - 79. Let x(w) = 302*w + 89. Let g(s) = 7*x(s) + 6*z(s). Find the first derivative of g(t) wrt t.
308
Let u(c) be the second derivative of -29*c**6/5 + 79*c**3/2 + 119*c - 1. What is the second derivative of u(b) wrt b?
-2088*b**2
Let b(s) = 10*s**4 - 7*s**3 + 47*s**2 - 12. Let u(i) = -18*i**4 + 15*i**3 - 94*i**2 + 26. Let y(k) = 13*b(k) + 6*u(k). Find the third derivative of y(w) wrt w.
528*w - 6
Let q be 4/(-14) - ((-1200)/(-28))/(-10). What is the derivative of -q*g**4 + 38 - 14*g**4 - 58 wrt g?
-72*g**3
Let p(i) be the third derivative of i**6/2 - 11*i**5/5 + 7*i**2 - 3. Find the third derivative of p(c) wrt c.
360
Let p be 4/(-8) - 45/(-6). Suppose -2*u = 5*z + 2, -3*u = -p*u + 5*z + 26. Find the second derivative of -52*m**4 - u*m + 58*m**4 + 0*m wrt m.
72*m**2
Let i(j) = 4*j**2 - 31*j - 158. Let c(q) = q**4 - 9*q**2 + 63*q + 316. Let x(t) = -4*c(t) - 9*i(t). What is the first derivative of x(z) wrt z?
-16*z**3 + 27
Let n(h) be the third derivative of 79*h**6/24 + 17*h**4/8 - 7*h**3/6 - 504*h**2. Find the second derivative of n(u) wrt u.
2370*u
Find the second derivative of -48*g**2 + g - 733 - 2*g**4 + 738 - 2*g wrt g.
-24*g**2 - 96
Let q(f) be the third derivative of 0*f**4 + 0 + 0*f**6 + 1/14*f**7 - 7/6*f**3 - 8*f**2 + 0*f + 0*f**5. What is the first derivative of q(c) wrt c?
60*c**3
Let w(h) be the third derivative of -h**7/420 + h**6/60 - 4*h**5/15 - 5*h**2. Let s(v) be the third derivative of w(v). What is the derivative of s(j) wrt j?
-12
Find the second derivative of 54*y**3 - 38*y**2 - 128*y + 40*y**2 - 17*y wrt y.
324*y + 4
Find the first derivative of -423 - 218*s**4 + 5030*s + 38 - 5030*s - s**3 wrt s.
-872*s**3 - 3*s**2
Suppose -5*f + r = -6, -4*r + 1 = -4*f - 7. What is the second derivative of 356*b**f - 356*b**2 + 21*b**3 - b wrt b?
126*b
What is the third derivative of -12*i**2 - 32*i**5 - 35*i**2 + 193*i**2 wrt i?
-1920*i**2
Let z be 2 - (2 - (-2)/(-2)). Let r be 1 - (z - (2 - 0)). What is the third derivative of 3*j**5 - 12*j**2 + j**3 - j**3 + 14*j**r wrt j?
180*j**2
Suppose -2395 = -14*b + 2015. What is the derivative of q**3 - 33 + 337*q**4 - q**3 - b*q**4 wrt q?
88*q**3
Let k(x) be the first derivative of -878*x**7/7 - x**3/3 + 250*x + 991. What is the third derivative of k(t) wrt t?
-105360*t**3
Suppose 4*q - q - 105 = 0. Find the 