
Let m(w) = w**2 - 8*w + 15. Let n be m(5). What is the third derivative of 13*t**2 + n*t**3 + 0*t**3 + 13*t**3 - 3*t**3 wrt t?
60
Differentiate 65*m**3 - 111 - 206 - 139*m**3 + 36*m**3 with respect to m.
-114*m**2
Suppose 8 = -3*v + 17. Find the third derivative of -5*o**2 - 19*o + 5*o**3 + 0*o**v + 19*o wrt o.
30
Let w(a) be the first derivative of 19*a + 16/5*a**5 + 26 + 0*a**2 + 0*a**3 + 0*a**4. Differentiate w(r) with respect to r.
64*r**3
Suppose 0 = -5*r - 3*x + 243, 0 = r + 5*x - 0 - 53. Suppose -4*b + r = -0*b. Differentiate 5 - 3 - b*w**4 + 9 wrt w.
-48*w**3
Let g(c) be the second derivative of -c**6/18 - 11*c**4/8 + c**3 + 27*c. Let l(n) be the second derivative of g(n). Find the first derivative of l(z) wrt z.
-40*z
Suppose 2*g + 7 + 3 = 4*f, -5*f + 13 = -2*g. What is the second derivative of -f*s**2 - 65*s - 74*s - 11*s**3 + 150*s wrt s?
-66*s - 6
Let v(n) be the first derivative of 6*n**2 - 27 + 0*n**3 + 13/2*n**4 + 0*n. What is the second derivative of v(p) wrt p?
156*p
Let x(u) be the second derivative of -u**4/12 - 6*u**3 + 53*u**2/2 - 66*u. Find the first derivative of x(l) wrt l.
-2*l - 36
Suppose -24 = 2*m - 30. Let j be 9 + (-4)/(-6)*3. Find the second derivative of 4*p**4 - 7*p - 3*p**4 - m*p - j*p**4 wrt p.
-120*p**2
What is the first derivative of -60*r**3 + 200*r**3 - 2*r**2 - 67*r**3 + 196 wrt r?
219*r**2 - 4*r
What is the third derivative of -15*m - 8*m**2 - 18*m**3 + 226*m**3 - 42*m wrt m?
1248
Let g(s) = 11*s - 58. Let c(w) = -10*w + 60. Let y(j) = -5*c(j) - 6*g(j). What is the first derivative of y(h) wrt h?
-16
Let c = -14 - -29. Suppose -5*y + c = 3*m, 0 = 3*y - y - 2*m - 22. Find the third derivative of 3*i**5 + 4*i**5 - i**y - 3*i**2 - 7*i**5 wrt i.
-120*i**3
Let h(p) be the second derivative of p**4/6 - 13*p**3/3 - 43*p**2/2 + 4*p + 5. What is the first derivative of h(r) wrt r?
4*r - 26
Let z(q) = 8*q + 17. Let d(b) = 1. Let v(m) = -3. Let p(i) = -4*d(i) - v(i). Let j(a) = -2*p(a) + z(a). Differentiate j(w) wrt w.
8
Let w be 1*(-5 + 3 + 3). Find the first derivative of -2*g**3 + 6 - w + 4*g**3 - 3*g**3 wrt g.
-3*g**2
Let k(a) be the third derivative of 11*a**6/120 - 77*a**4/12 + 56*a**2. What is the second derivative of k(m) wrt m?
66*m
Find the third derivative of -538*s**5 + 8*s - 4*s**2 - 5*s + 271*s**5 + 6*s wrt s.
-16020*s**2
Let a(f) = -9*f - 84. Let z(b) = -2*b - 17. Let s(v) = -v**2 + 9*v - 7. Let x be s(6). Let r(j) = x*z(j) - 2*a(j). Differentiate r(l) wrt l.
-4
Let r(i) = -30*i + 2. Let u be r(-2). Let q = -281 - -291. Find the second derivative of u*l + 0 + q*l**2 + 0 - 53*l wrt l.
20
Let q(a) be the second derivative of -a**7/2520 - 13*a**5/120 + 3*a**4/4 + 16*a. Let o(n) be the third derivative of q(n). Differentiate o(b) with respect to b.
-2*b
Suppose 0 = 4*b - i - 61, -77 = -5*b - 3*i - 22. Differentiate 18 + 8 + 14*j**3 + b - 4 wrt j.
42*j**2
Let s = -28 - -33. Find the third derivative of 19*o**2 + 19*o**s + 4818*o - 4818*o wrt o.
1140*o**2
Let h = -77 - -81. Find the second derivative of 4*g**4 - 12*g**h - 29*g + 5*g**4 wrt g.
-36*g**2
Suppose -11*s + 45 = -2*s. What is the third derivative of 21*n**5 + 8*n**s - 8*n**5 + 5*n**5 + 28*n**2 wrt n?
1560*n**2
Let k(i) = 2363*i**2 - 28*i**3 - 2363*i**2 - 42. Let j(g) = -g**3. Let m(o) = -6*j(o) - k(o). What is the derivative of m(v) wrt v?
102*v**2
Let w be -1*(6/3 + -1 + -3). Let h(f) be the second derivative of 0 - 2*f - 7*f**w + 0*f**3 - 1/4*f**4. Differentiate h(q) with respect to q.
-6*q
Let o(g) = 198*g**2 - 85*g + 6. Let q(n) = 595*n**2 - 256*n + 17. Let f(w) = -17*o(w) + 6*q(w). What is the second derivative of f(u) wrt u?
408
Let a(o) = 11*o - 7. Let j(l) = 23*l - 15. Let r = -16 - -32. Suppose 3*z + b = -19, 5*z + r = 3*b - 11. Let y(x) = z*j(x) + 13*a(x). Differentiate y(d) wrt d.
5
Let j(h) = -h**2 + 6*h - 3. Let n be j(2). Find the third derivative of -7*i**n + 4*i**2 - 17*i**2 + 2*i**5 wrt i.
-300*i**2
Suppose 25 = -2*b - 4*p - 1, 3*b + 28 = 5*p. Let d(m) = -m**3 - 12*m**2 - 11*m + 4. Let h be d(b). What is the derivative of 4 - 3 - 1 - 5*q**3 + h wrt q?
-15*q**2
Let t(j) be the first derivative of 49*j**5/20 - 7*j**2/2 + 4*j + 46. Let u(m) be the first derivative of t(m). What is the derivative of u(l) wrt l?
147*l**2
What is the third derivative of 89*a**2 - 5*a**6 + 18*a**6 + 8*a**5 - 8*a**6 - a**6 wrt a?
480*a**3 + 480*a**2
Let g = -19 + 36. Find the third derivative of 3*w**6 - g*w**4 - 6*w**2 + 31*w**4 - 14*w**4 wrt w.
360*w**3
Let p be (-3)/(1/3*-1). Suppose -o = -3*y + 1, 3*y - 1 = 2. What is the third derivative of -p*n**2 + 0*n**6 + 5*n**2 - o*n**2 + 2*n**6 wrt n?
240*n**3
Let u(b) be the second derivative of 0 + b**2 + 7/2*b**3 - 20*b. Find the first derivative of u(r) wrt r.
21
Let a be (-2)/(-7) - (-27)/(-21). Let w be 0 - 2/1*a. Find the first derivative of -1 - 2*m**2 + 3*m**w - 5*m**2 + 3 wrt m.
-8*m
Let n(y) = 650*y**4 - 4*y**3 + 2*y + 616. Let b(a) = -3900*a**4 + 25*a**3 - 13*a - 3696. Let d(w) = -2*b(w) - 13*n(w). Find the first derivative of d(t) wrt t.
-2600*t**3 + 6*t**2
Find the third derivative of 6*x + 267*x**4 - 2*x - 193*x**2 + 196*x**2 wrt x.
6408*x
Find the third derivative of 42 + 6*q**4 + 36*q**3 - q**2 - 29*q**3 - 2*q**2 wrt q.
144*q + 42
Let o(a) = -a - 2. Let h(u) = -692*u**3 - 14*u**2 + 3*u + 6. Let y(q) = h(q) + 3*o(q). What is the third derivative of y(z) wrt z?
-4152
Let b(c) = c**4 - c**3 + c - 1. Let h(r) = -44*r**3 - 2*r**2 - 2*r + 65. Let w(d) = -2*b(d) - h(d). What is the third derivative of w(z) wrt z?
-48*z + 276
Let y(w) be the first derivative of -74*w**2 + 62*w - 26. Differentiate y(v) with respect to v.
-148
Let p(z) be the second derivative of z**4/4 - 5*z**3/6 + z**2 + 7*z. Let q(o) be the first derivative of p(o). Find the first derivative of q(l) wrt l.
6
Let o = -5 + 9. Let d(i) = -i + 9. Let g be d(6). Differentiate o + c**3 + g*c**3 + 2*c**3 wrt c.
18*c**2
Let g(l) = 93*l - 147. Let j(n) = n + 18. Let z(h) = -4*g(h) + 4*j(h). What is the derivative of z(y) wrt y?
-368
Let i(a) = 138*a**3 + 29*a**2 + 7*a - 4. Let o(v) = -137*v**3 - 30*v**2 - 10*v + 6. Let j(f) = -6*i(f) - 4*o(f). What is the third derivative of j(b) wrt b?
-1680
Let l = 126 + -91. Differentiate 30 - l*j**4 - 1 + 12*j**4 + 19 + j**3 with respect to j.
-92*j**3 + 3*j**2
Let i be (19 - -1)*1/((-5)/(-3)). What is the second derivative of -10 + i*s + s**2 + s**2 + 10 wrt s?
4
Let j(y) be the first derivative of y**7/15 - y**4/4 - 7*y**2 + 3. Let t(b) be the second derivative of j(b). Find the second derivative of t(l) wrt l.
168*l**2
Let w(n) be the first derivative of -n**4/4 + 50*n - 112. What is the first derivative of w(m) wrt m?
-3*m**2
Let k = 4 - 10. Let d(m) = 2*m + 5. Let z(j) = 4 + 2 + 0*j**2 - 2*j - j**2 + 5*j. Let g(l) = k*d(l) + 5*z(l). Find the second derivative of g(s) wrt s.
-10
Let n(i) be the third derivative of 23*i**4/24 - 17*i**3/6 - 259*i**2. Find the first derivative of n(k) wrt k.
23
Find the third derivative of 3*c**2 - 4*c**5 + 4*c**2 - 4*c**2 - 10*c**5 + 2*c**2 wrt c.
-840*c**2
Let o(i) = i**3 - 6*i**2 + 9*i - 17. Let x be o(5). What is the third derivative of 35*j**x - 16*j**3 + 5*j**2 - 42*j**3 wrt j?
-138
Let f be (1/(-4))/((-13)/52). Let u(n) = n**2 + 1. Let k(p) = -12*p**2 + 9. Let x(q) = f*u(q) + k(q). What is the derivative of x(o) wrt o?
-22*o
Suppose 4*f - 2*l - 10 - 6 = 0, 0 = 5*f - 4*l - 20. Find the third derivative of 10*r**2 - 1479*r - 6*r**f + 1479*r wrt r.
-144*r
Let x(j) be the second derivative of -11*j**5/4 - j**4/2 - j - 15. Find the third derivative of x(u) wrt u.
-330
Let o(y) = 30*y**2 + y + 1. Let r be o(-1). Let c be (-201 - 0)*(-10)/r. Differentiate 0*z**2 - 70 + 11*z**2 + c wrt z.
22*z
Let o(u) be the first derivative of 103*u**5/5 - 6*u**3 - 4*u + 130. What is the third derivative of o(c) wrt c?
2472*c
Let d be (-2)/2 + 3 + 7 + -7. Find the third derivative of 34*r**5 - 8*r**5 - 122*r**2 + 97*r**d wrt r.
1560*r**2
Let n(b) = b**2 + 2*b - 4. Let m be n(4). What is the first derivative of m*y - 1 - 11*y + 4*y + 14*y wrt y?
27
Let l(g) = 3*g**2 + 3*g - 2. Let m = -4 - -2. Suppose -2*i = 13 - 1. Let c(k) = -k + 1. Let d(s) = i*c(s) + m*l(s). What is the derivative of d(h) wrt h?
-12*h
Let a = -10 + 18. Differentiate a + 26 + x**3 - 13 - 2*x**3 wrt x.
-3*x**2
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