93*b. Determine m(j(n)).
-1793*n**2
Let w(g) = -4*g**2. Let u(t) be the first derivative of t**2 - 3. What is w(u(c))?
-16*c**2
Let w(x) = -x. Let b(g) = 85*g - 1 + 1 - 80*g. What is w(b(k))?
-5*k
Let q = 9 + 4. Let t(c) = 13 - q - c. Let v(i) be the second derivative of i**3/2 - i. What is v(t(n))?
-3*n
Let g(t) = 439*t. Let x(i) = 3*i. Calculate x(g(l)).
1317*l
Let u(m) = -5*m. Let d(k) = -22*k. What is u(d(h))?
110*h
Let y(n) = -3*n**2. Suppose -2 = -4*q + 3*q. Let t(p) = 11*p**q + 1 - 9*p**2 - 1. Calculate t(y(r)).
18*r**4
Let v(t) = -45 + 49*t**2 - 51*t**2 + 45. Let a(r) = 15*r. Give a(v(g)).
-30*g**2
Let i(d) = d. Let u(o) be the first derivative of -2*o**2 - 1. Let z(x) = -8*i(x) - 3*u(x). Let p(m) = m**2. Determine z(p(w)).
4*w**2
Let u(t) = -t**2. Let y(v) be the second derivative of 3*v**3/2 + 15*v. What is y(u(r))?
-9*r**2
Let g(z) = z**2. Let y(p) = -p**2 + 2. Suppose 22 = 4*f - 6*f. Let j(d) = -1 + 2*d**2 - 10 + 4*d**2. Let t(v) = f*y(v) - 2*j(v). Give g(t(u)).
u**4
Let f(y) = 2*y. Let c(b) = 5*b**2 + 9*b**2 + 4*b**2 - 13*b**2 + 3. Determine f(c(a)).
10*a**2 + 6
Let r(l) = l. Let c be (3 - 2)/(-5 + 6). Let q(n) = -2 + 3 + n - c. What is q(r(s))?
s
Let m(i) = -4*i**2. Let r(a) = -16*a + 14*a + 7*a. Determine r(m(n)).
-20*n**2
Let j(g) be the third derivative of 0*g + 0*g**4 - 3*g**2 - 1/60*g**5 + 0 + 0*g**3. Let v(c) = 2*c. Calculate v(j(x)).
-2*x**2
Let z(o) = 7*o - 10. Let w(n) = -4*n + 6. Let p(c) = 5*w(c) + 3*z(c). Let f(h) = -7*h**2. Give f(p(d)).
-7*d**2
Let p(s) be the second derivative of -2*s + 0*s**2 + 0 - 1/3*s**3. Let b(q) = -4*q**2. What is p(b(u))?
8*u**2
Let v be 12/8 - (-2)/(-4). Let s(f) = -1 + 2*f**2 + 0 + v. Let c(k) = k**2 + 2*k**2 - k**2. Give s(c(a)).
8*a**4
Let x(n) = -4*n**2 + 3*n**2 - 9*n**2 + 0*n**2. Let y(a) = 2*a**2. Give x(y(w)).
-40*w**4
Let m(g) = 2*g. Let s(k) be the third derivative of -k**5/30 - 7*k**2. Calculate s(m(q)).
-8*q**2
Let b(g) = -g**2 + g + 1. Let m(k) = 3*k**2 - 5*k - 5. Let d(s) = 5*b(s) + m(s). Let p(i) = -74 + 3*i**2 + 74. Calculate p(d(l)).
12*l**4
Let w(x) = -91*x**2 - 1. Let n(a) = -2*a**2. What is w(n(g))?
-364*g**4 - 1
Let z(k) = -3 + 3 + k. Let g = -5 + 7. Let u(j) = j**g - 14 + 14. Determine u(z(s)).
s**2
Let c(q) = 14292*q. Let x(n) = n. Calculate x(c(h)).
14292*h
Let w(s) = s - 45. Let t(i) = -8*i**2. Give w(t(n)).
-8*n**2 - 45
Let t(q) = q. Suppose 2*d - 1 - 11 = 0. Let w = -8 - -13. Let z(k) = -k - w*k - k + d*k. Determine t(z(m)).
-m
Let x(p) = -3*p**2. Let h(l) = 457*l**2. What is x(h(f))?
-626547*f**4
Let x(i) = 3*i. Let c(j) = -169*j. Determine c(x(y)).
-507*y
Let o(m) = m + 13. Let y(i) = -3*i**2. Determine o(y(g)).
-3*g**2 + 13
Let t(k) be the third derivative of k**5/20 - 4*k**2. Let f(n) = 5*n**2. Give f(t(v)).
45*v**4
Let o(s) = -2*s. Let n be (0/1 - 0)*-1. Let a(z) = -5*z**2 + n*z**2 + 2*z**2 + z**2. What is o(a(d))?
4*d**2
Let j(r) = 19*r + 7. Let u(n) = -2*n**2. Calculate j(u(c)).
-38*c**2 + 7
Suppose -2*g = -g. Let j(o) = 0*o + g*o - o - 5*o. Let q(p) = 2*p**2 - 3*p. Let z(b) = -3*b**2 + 5*b. Let y(f) = 5*q(f) + 3*z(f). Give j(y(r)).
-6*r**2
Let q(w) = -w**3 - 11*w**2 + w + 14. Let o be q(-11). Let m(l) = -l - 5*l + o*l + 2*l. Let x(k) be the first derivative of -k**2/2 - 1. Determine x(m(s)).
s
Let v(w) = -2*w. Let b = -16 - -58. Suppose 4*u - b = 2. Let d(r) = u - r - 11. Calculate v(d(t)).
2*t
Let s(n) = 4 - 1 - n - 2. Suppose 134*l = 136*l + 2. Let f(t) = 3*t**2 - 3*t + 3. Let q(w) = l*f(w) + 3*s(w). Let m(g) = -3*g**2. Give q(m(k)).
-27*k**4
Let h(b) be the second derivative of -1/3*b**3 + 0 + 0*b**2 + 3*b. Let j(u) = 3*u**2. Calculate j(h(r)).
12*r**2
Let o(y) = -5*y**2. Let p be 6/(0 + (-8)/(-12)). Let t(l) = p*l**2 - 17*l**2 + 6*l**2. What is t(o(w))?
-50*w**4
Let t(u) = -4*u - 3. Let s(v) = 69*v. Give t(s(w)).
-276*w - 3
Let f(w) be the third derivative of -w**4/12 + 14*w**2. Let s(n) = -n - 1. Let k(m) = -m**2 + 3*m + 3. Let c(q) = 5*k(q) + 15*s(q). Determine f(c(o)).
10*o**2
Let v(z) = z - 3 + 5 - 2. Let n(y) = -2*y**2. Calculate v(n(q)).
-2*q**2
Let h(u) = 591*u**2. Let p(d) = 2*d. Calculate h(p(x)).
2364*x**2
Let o(a) = 7*a**2. Let j(g) = 23*g**2. Determine j(o(m)).
1127*m**4
Let b(c) = c**2. Let u(y) = -2*y**2 - 4*y**2 - y**2. Give b(u(v)).
49*v**4
Let y(f) = -f. Let j(w) = 113*w**2. Determine j(y(g)).
113*g**2
Let t(h) be the second derivative of -h**3/3 - 5*h - 2. Let i(q) = -19*q. Give t(i(f)).
38*f
Let x(j) = 8*j**2 - 18. Let k(c) = -c. Calculate x(k(y)).
8*y**2 - 18
Let p(q) = q**3 + 6*q**2 + 2*q + 14. Let j be p(-6). Let x(a) = -8*a - 2 + j + 2*a. Let s(h) = 2*h. Determine s(x(c)).
-12*c
Let i(n) = -2*n**2. Let v(h) be the third derivative of 0*h + 1/24*h**4 + 0*h**3 + 0 - 2*h**2. Calculate i(v(o)).
-2*o**2
Let z(j) be the second derivative of 11*j**3/6 - 40*j. Let y(c) = -3*c**2. Determine y(z(o)).
-363*o**2
Let k(b) = 21*b**2. Let c(o) = 27*o**2 + 2. What is k(c(d))?
15309*d**4 + 2268*d**2 + 84
Let n(v) = -v**2. Let p(f) = -6*f**2 + 5*f + 5. Let a(w) be the first derivative of -w**3 + w**2 + 2*w + 5. Let d(m) = 5*a(m) - 2*p(m). Calculate d(n(g)).
-3*g**4
Let t(k) = 29*k**2 - 15. Let x(g) = 2*g. Give t(x(n)).
116*n**2 - 15
Let m(w) = -4*w**2 + 40 - 40. Let o(k) = 3*k. Determine o(m(q)).
-12*q**2
Let v(t) = 36*t**2. Let g(x) = 12*x**2. What is g(v(c))?
15552*c**4
Let s(v) = 40*v - 15. Let z(m) = 2*m**2. Give s(z(t)).
80*t**2 - 15
Suppose -2*x = 5*c - 12, 0 = 3*c + x + 2*x - 9. Let n(t) = 2 - c*t - 5 + 4*t. Let p(i) = 6*i - 10. Let m(z) = 10*n(z) - 3*p(z). Let j(o) = -2*o. Give j(m(w)).
-4*w
Let u(j) be the second derivative of 0 + 0*j**2 + 8*j - 1/3*j**3. Let v(g) = 10*g**2. Give v(u(c)).
40*c**2
Let m(n) = 9*n**2. Let f(g) be the third derivative of g**5/60 + 16*g**2. Determine m(f(x)).
9*x**4
Let x(k) be the third derivative of 5*k**4/24 - 11*k**2. Let z(y) be the third derivative of -y**4/12 + 6*y**2. Give x(z(r)).
-10*r
Let b(g) = 3*g**2 + g**2 - 6*g**2. Let x(n) = -4*n**2 + 3*n**2 + 9*n**2. Calculate x(b(a)).
32*a**4
Let s(r) be the second derivative of 0*r**3 - 1/4*r**4 - 4*r + 0 + 0*r**2. Let v(c) = 2*c**2. What is s(v(u))?
-12*u**4
Let t(z) be the first derivative of 8*z**3/3 + 35. Let h(f) = f**2 - f. Let y(o) = -5*o**2 + 6*o. Let n(d) = -6*h(d) - y(d). Calculate n(t(k)).
-64*k**4
Let o(t) = -15*t + 124 - 124. Let f(d) = -d**2. What is f(o(p))?
-225*p**2
Let v(a) = 12*a**2 + 0*a**2 - 9*a**2. Let n(d) = 36*d**2. Determine v(n(h)).
3888*h**4
Let r(s) = 5*s**2 + 4. Let t(n) = -6*n**2 - 5. Let w(q) = 4*r(q) + 3*t(q). Let x(g) = g. Determine w(x(k)).
2*k**2 + 1
Let v(h) = -h. Let l(s) be the second derivative of s**4/4 + s**3/6 + s**2/2 + s. Let i be l(-1). Let g(r) = -r + 0*r + i*r. Calculate g(v(p)).
-2*p
Let m(f) = -2*f**2. Let o(k) = 2*k**2. Let a(s) = -2*m(s) - 3*o(s). Let y(p) = 5*p. Determine a(y(v)).
-50*v**2
Let p(l) be the third derivative of l**4/12 + 2*l**2 + 22. Let a(b) = -3*b**2 - 15*b. Calculate a(p(v)).
-12*v**2 - 30*v
Let m(f) = -f**2. Let l(v) be the third derivative of 0 + 0*v**3 + 0*v**4 + 0*v + 3*v**2 + 1/30*v**5. Calculate l(m(c)).
2*c**4
Let w(o) = -1. Suppose -2*k + 69 = 4*y + k, -k - 55 = -3*y. Let q(m) = m - 9. Let l(z) = y*w(z) - 2*q(z). Let f(v) = -v + v**2 + v. Give f(l(g)).
4*g**2
Let m be 4/(-1*(-3)/3). Suppose -2*r - 5*j + 9 = 0, 4*r + m*j - 6 = 3*r. Let o(p) = -r*p + p - 3*p. Let i(h) = h**2. Calculate i(o(q)).
16*q**2
Let r(n) be the first derivative of -2 + 0*n + 3/2*n**2. Let j(m) = -3*m. Let d(c) = -c. Let f(t) = 11*d(t) - 4*j(t). Calculate f(r(s)).
3*s
Let z(m) = 2*m**2 + 3*m**2 - 9*m**2. Let a(d) = 7*d. Determine z(a(k)).
-196*k**2
Let r(g) be the first derivative of g**3/3 + 3. Let p(d) = -d - 5. Let n(x) = 1 + 0 + 4 - 3. Let v(u) = -10*n(u) - 4*p(u). Give r(v(h)).
16*h**2
Let y(j) be the third derivative of j**4/24 - 10*j**2. Suppose -4*a + 8 = -0*a. Let q(x) = -2*x**a + 5*x**2 - 4*x**2. Calculate q(y(z)).
-z**2
Let x(m) = -11 + 11 + 2*m. Let g(b) = 2*b - 2. Let i(z) = -4*z + 5. Let v be (2/(-3))/((-1)/(-3)). Let t(k) = v*i(k) - 5*g(k). What is t(x(a))?
-4*a
Let v(w) = w**2. Let f(g) = g - 18. Let s(d) = -2. Let q(j) = 2*f(j) - 18*s(j). Let t(x) = -8*x. Let m(z) = -7*q(z) - 2*t(z). Calculate v(m(a)).
4*a**2
Let l(j) be the third derivative of j**5/60 + 7*j**2. Let w(o) = 7*o. Give l(w(a)).