- 1. Determine d(n(y)).
132*y - 1
Let v(m) be the first derivative of m**5/60 + m**3/3 - 2. Let d(c) be the third derivative of v(c). Let r(o) = -o + 1 - 2 + 1. What is d(r(a))?
-2*a
Let d(g) = g. Let f(j) = -8*j. Let y(r) = 4*r. Let l(z) = 21*z. Let n(k) = -5*l(k) + 24*y(k). Let q(t) = -7*f(t) + 6*n(t). Calculate d(q(u)).
2*u
Let q(g) be the first derivative of -g**3/3 + 20. Let d(z) = -5*z**2. Calculate d(q(n)).
-5*n**4
Let x(u) = 9*u. Let y(g) = g**2 + 5*g**2 - g**2. Give y(x(l)).
405*l**2
Let m(c) = 3*c**2 + 7*c. Let d(g) be the first derivative of g**3/3 + g**2 + 8. Let f(j) = -14*d(j) + 4*m(j). Let w(x) = -5*x. Give w(f(i)).
10*i**2
Let w(j) = -3*j**2. Let i(n) = -3*n**2 - n**2 - 3*n**2 + 6*n**2. Calculate w(i(q)).
-3*q**4
Let y(t) = 161*t**2 + 2. Let r(q) = -2*q**2. Give r(y(d)).
-51842*d**4 - 1288*d**2 - 8
Let a(m) = -2*m. Let y(f) be the first derivative of f**3/3 - 2*f**2 + 3*f - 3. Let q be y(4). Let b(v) = -q*v**2 + 0*v**2 + 5*v**2. Determine b(a(r)).
8*r**2
Let n(l) = 2*l**2. Let s = -4 - -4. Suppose s*x + x = 2. Let a(c) = -c + 3*c**x + c. Calculate n(a(r)).
18*r**4
Let t(z) = -z**2. Let o(r) = -r - 3. Determine o(t(k)).
k**2 - 3
Let p(j) be the third derivative of 0*j + 0*j**3 + 1/30*j**5 + 2*j**2 + 0 + 0*j**4. Let i(v) be the second derivative of v**3/6 + 4*v. What is p(i(a))?
2*a**2
Let v = 3 - 1. Let t be (-4)/(-4)*(v - 0). Let o(n) = -t*n**2 - 5 + 2 + 3. Let d(c) = 4*c. Determine d(o(f)).
-8*f**2
Let z(v) = 7004*v. Let p(j) = -j. What is z(p(d))?
-7004*d
Let m(n) = -2*n**2. Let q(j) = j**2 + 7*j - 3. Let u be q(-8). Let s(w) = -4*w - 3*w + u*w. What is m(s(g))?
-8*g**2
Let a(l) = -3*l**2. Let h(t) be the second derivative of 7*t**6/360 + t**3/3 - 10*t. Let v(g) be the second derivative of h(g). Calculate a(v(n)).
-147*n**4
Suppose 0 = 3*t - c - 2, 4*c + 2 - 26 = -4*t. Let o(n) be the second derivative of 0 + 0*n**3 + 0*n**t - 1/12*n**4 - 3*n. Let k(x) = 5*x**2. Calculate k(o(b)).
5*b**4
Let a(m) = 2*m**2. Let r(u) = 54*u - 45. Let p(k) = k - 1. Let n(h) = -45*p(h) + r(h). What is a(n(v))?
162*v**2
Let o(h) = -13*h + 3. Let y(i) = -41*i**2. Give o(y(x)).
533*x**2 + 3
Let y(c) be the third derivative of -c**4/24 + 4*c**2. Let z(w) = 12*w. Calculate z(y(g)).
-12*g
Let o(z) = -6*z. Let c(p) = 2*p**2 + 3*p. Let a(j) = j + 0*j + 6*j + 5*j**2. Let q(d) = -6*a(d) + 14*c(d). Calculate q(o(u)).
-72*u**2
Let b(y) be the first derivative of y**3/3 - 6. Let v(x) = 4*x**2 + 0*x**2 + x**2 + 0*x**2. What is v(b(i))?
5*i**4
Let w(u) = -5*u + u - 4*u + 3*u. Let c(q) = -8*q. Determine w(c(n)).
40*n
Let z(v) = -2*v**2 - 3*v**2 + 2*v**2. Let f(a) be the third derivative of -a**5/120 - a**3/3 + a**2. Let l(b) be the first derivative of f(b). What is z(l(u))?
-3*u**2
Let x(b) be the third derivative of b**5/20 - 6*b**2. Let g(k) = 5*k. Determine g(x(a)).
15*a**2
Let c(z) = -8*z. Let t(h) = -2*h**2 + 4. Determine c(t(q)).
16*q**2 - 32
Let g(y) = 540*y. Let f(h) = -10*h. Give f(g(r)).
-5400*r
Let k(q) = -q**2. Let a(o) = -10*o**2 - 7*o**2 + 19*o**2. Determine a(k(s)).
2*s**4
Let i(m) = -7*m + 8. Let x be 28/10 + 5/25. Let o(t) = t - 1. Let u(b) = x*i(b) + 24*o(b). Let n(q) = -2*q + 2*q**2 + 2*q. Determine u(n(s)).
6*s**2
Let n(h) = -h**2. Let a(b) = -49*b - 35. Let t(r) = 3 + 4*r - 3*r + 3*r + 0*r. Let d(u) = -3*a(u) - 35*t(u). Determine n(d(m)).
-49*m**2
Let h(j) = 2*j**2. Let z(u) be the first derivative of u**5/24 + 2*u**3/3 - 6. Let v(w) be the third derivative of z(w). Give h(v(k)).
50*k**2
Let w(n) be the third derivative of 5/24*n**4 + n**2 + 0 + 0*n**3 + 0*n. Let p(j) = j**2. Give w(p(b)).
5*b**2
Let b(v) = 3*v. Let d(h) = 35*h - 5. What is b(d(s))?
105*s - 15
Let i(o) = 642*o**2. Let u(k) = 2*k**2. What is i(u(a))?
2568*a**4
Let p(v) = -2*v. Let c(x) = -485*x**2. What is c(p(z))?
-1940*z**2
Let h(x) = -x. Let r(i) = 11960*i. What is r(h(f))?
-11960*f
Let b(v) = -2*v. Let q = 14 + -10. Let i(p) be the second derivative of 0*p**2 - 2*p - 1/12*p**q + 0 + 0*p**3. Determine b(i(n)).
2*n**2
Let x(t) = -t. Let i(h) = -8*h**2 - 3. Let l(v) = -17*v**2 - 7. Let n(z) = 14*i(z) - 6*l(z). Give x(n(c)).
10*c**2
Let m(h) = 2*h. Let y(d) = -13*d. Let z(q) = -14*q. Let l(r) = -3*y(r) + 2*z(r). Give m(l(v)).
22*v
Let w(a) be the second derivative of a**6/144 + a**4/6 - 3*a. Let n(g) be the third derivative of w(g). Let j(r) = -r + 0 + 0. Determine n(j(h)).
-5*h
Let k(t) = -t**3 - t**2 - t + 1. Let n be k(0). Let o(y) = 1 - n + y**2. Let f(s) = 2*s**2 + 4 - 4. Give f(o(l)).
2*l**4
Let c(v) be the third derivative of 0*v**3 + 1/6*v**4 + 3*v**2 + 0*v + 0. Let g(i) be the third derivative of -i**4/12 + 4*i**2. What is g(c(n))?
-8*n
Let t(m) = 2*m**2. Let q(v) = 4*v - 87. Give q(t(z)).
8*z**2 - 87
Let f(q) = -q**2. Let h(s) be the second derivative of 0 - 2*s + 1/3*s**3 + 0*s**2. Give f(h(m)).
-4*m**2
Let w(v) = 5 - 4 + 3*v - 1. Let f(g) = -6*g. Calculate f(w(q)).
-18*q
Let v(a) = -6*a. Let z(k) = 3*k**2. Give z(v(n)).
108*n**2
Let t(f) = f. Let i(n) be the first derivative of -n**2/2 + 4. Calculate i(t(y)).
-y
Let j(z) = -z**2. Let o(b) = -733*b. Determine o(j(h)).
733*h**2
Let o(z) = -15*z. Let x(p) be the first derivative of -3*p**2/2 - 21. Calculate o(x(r)).
45*r
Let z(c) = -3*c**2. Let t(j) = 69*j + 73. Calculate t(z(f)).
-207*f**2 + 73
Let b(a) = 2*a. Let k(g) = -505*g**2. What is k(b(j))?
-2020*j**2
Let u(r) = r. Let z(m) = -14*m - 2. Calculate z(u(x)).
-14*x - 2
Let g(m) = -3*m**2. Let r(y) = 4 + 7*y + 0 + 3 + y**2. Let l be r(-6). Let h(d) = d + l - 1. Calculate h(g(v)).
-3*v**2
Let l(b) = -7*b**2. Let q(y) = 35*y - 37*y + 1 - 1. Calculate l(q(m)).
-28*m**2
Let a(d) = d - d - 7*d - 5*d. Let n(b) = 3*b**2. Determine a(n(x)).
-36*x**2
Let p = -3 - -5. Let u(s) = -8*s**2 - p*s + 2*s + 3*s**2. Let d(z) = -2*z**2. Calculate d(u(v)).
-50*v**4
Let p(z) be the first derivative of 15*z**2/2 + 43. Let r(q) = -5*q**2. What is p(r(d))?
-75*d**2
Let h(j) = -9*j. Let g(r) = 25*r**2. Give g(h(w)).
2025*w**2
Let h(k) = -12*k**2. Let t(i) = -3*i**2. Determine t(h(g)).
-432*g**4
Let q(n) = -4*n**2. Let y(f) = 10*f + 7. Let b(c) = 3*c + 2. Let k(z) = -7*b(z) + 2*y(z). Determine k(q(t)).
4*t**2
Let u(l) be the first derivative of 1/2*l**2 + 8 + 0*l. Let i(x) = 9*x. What is i(u(a))?
9*a
Let i(b) = -8*b - 7*b - 3*b. Let o(d) = 2*d**2. Calculate i(o(w)).
-36*w**2
Let m(q) = 2*q**2. Let n(r) = 23*r - 3. What is m(n(t))?
1058*t**2 - 276*t + 18
Let f(c) = -c**2. Suppose 2*w - 6 = -2*o, w - 2*w + 4*o - 2 = 0. Let k(z) = z + 3*z - w*z - 4*z. Calculate f(k(v)).
-4*v**2
Let i(l) = 29*l**2. Let t(g) = 74*g. What is t(i(h))?
2146*h**2
Let j(z) be the first derivative of -z**2/2 - 2. Let w(s) = 7*s. What is j(w(q))?
-7*q
Let w(v) = 11 - 6 - 6 + v. Let i(j) = 4*j - 3. Suppose -2 = g + g. Let t(n) = g*i(n) + 3*w(n). Let a(m) = m**2. Calculate t(a(f)).
-f**2
Let k(h) be the third derivative of h**5/15 - 6*h**2. Let p(d) = 2*d. Give p(k(y)).
8*y**2
Let v(r) = -16*r**2 + 10*r**2 + 5*r**2. Let y(x) = 4*x**2. Calculate v(y(l)).
-16*l**4
Let g(d) = -2*d. Let o(t) be the first derivative of 59*t**2/2 + 6. Determine g(o(a)).
-118*a
Let z(n) = -3*n. Let l(t) be the second derivative of t**7/2520 - 5*t**4/12 - 3*t. Let y(s) be the third derivative of l(s). Determine z(y(q)).
-3*q**2
Let j(f) = -1534*f. Let d(w) = 8*w**2. What is d(j(x))?
18825248*x**2
Let o(i) = -5*i**2. Let b(q) = 8*q**2 - 9*q. Let r(f) = f**2 - f. Suppose 2 = 2*t - 0*t. Suppose 5*u + 9 = -t. Let w(n) = u*b(n) + 18*r(n). Give w(o(h)).
50*h**4
Let o(l) = -4*l**2. Let z(f) be the third derivative of 3*f**5/20 + f**2. Calculate o(z(q)).
-324*q**4
Let v(p) = 3*p. Let x(w) = 3 + 0 - w - 4. Suppose t + 10 = -4*l, -t = 4*t - 3*l - 42. Let s(f) = -3*f**2 - 6*f - 6. Let j(h) = t*x(h) - s(h). Give v(j(n)).
9*n**2
Let p(w) = 1799*w**2. Let o(m) = 2*m**2. Calculate o(p(y)).
6472802*y**4
Let m(u) = 7*u**2. Let o(w) = -196*w. Give m(o(d)).
268912*d**2
Let s(p) = -p**2. Let a(i) = 194*i**2 - 1. Calculate a(s(w)).
194*w**4 - 1
Let a(s) = 8*s**2 + 8*s**2 - 23*s**2. Let w(v) = -2*v. Determine w(a(t)).
14*t**2
Let z(y) = -110*y**2. Let p(s) = s. Calculate p(z(b)).
-110*b**2
Let x(k) be the second derivative of k**5/24 - k**3 - 8*k. Let q(t) be the second derivative of x(t). Let o(l) = -l**2. Calculate q(o(v)).
-5*v**2
Let l(j) = -4*j. Let o(u) 