- 9, 2*t - 36 = 4*v. Let p(z) = -t + 166*z - 88*z - 80*z. Calculate p(k(g)).
-2*g**2 - 20
Let i(z) be the second derivative of 7*z**3/6 - 3*z. Let y(g) be the second derivative of g**3/3 + 11*g - 11. What is y(i(t))?
14*t
Let c(i) = -i + 2077. Let q(t) = -3*t + 8. Give q(c(f)).
3*f - 6223
Let w(h) be the first derivative of 5*h**2/2 - 2. Let k(r) = -4*r - r + 9*r - 2*r. Determine k(w(c)).
10*c
Let o(j) = -3*j. Let p(l) = -l + 1. Let g(h) = 3. Let w(q) = g(q) - 3*p(q). Let u(y) = 2*o(y) + 3*w(y). Let c(k) = -3*k - 2*k + 5*k + k. Give u(c(z)).
3*z
Let n(q) = q. Let g(o) = -o - 17989. What is n(g(c))?
-c - 17989
Let p(t) = -13*t**2. Let n(x) = 72085*x**2. Give n(p(a)).
12182365*a**4
Let n(b) = -2*b - 12. Let t(o) = -3. Let y(d) = -n(d) + 4*t(d). Let h(a) = -30*a + 2. Determine y(h(x)).
-60*x + 4
Let w(r) = -r. Let g(j) be the third derivative of -8*j**5/15 + 2*j**2 + 1. What is g(w(h))?
-32*h**2
Let b(a) = -6*a**2. Let n(c) = 65*c + 23 - 10 - 13. Give n(b(m)).
-390*m**2
Let r(v) = 43*v**2 - 5186. Let p(i) = i**2. Calculate r(p(m)).
43*m**4 - 5186
Let t(p) = -817*p. Let o(s) = 8*s**2. Calculate t(o(h)).
-6536*h**2
Let f(b) = 913928*b. Let m(q) = q**2. Determine m(f(g)).
835264389184*g**2
Let c(v) = -3138*v - 1. Let s(r) = 9*r**2 - 3*r. Determine c(s(l)).
-28242*l**2 + 9414*l - 1
Let g(t) be the second derivative of -16*t + 0 + 5/4*t**4 + 0*t**3 + 0*t**2. Let q(a) = -2*a. Determine g(q(n)).
60*n**2
Let b(j) = -5 + 7 + 8 - 10 + 1 + 21*j. Let d(l) = 13*l. Determine b(d(s)).
273*s + 1
Let y(t) be the second derivative of -2*t**3/3 - 2*t. Let c(g) = -g + g - 9739*g**2 + 9734*g**2. Give y(c(b)).
20*b**2
Let u(g) = 2*g**2. Let j(a) = a - 2. Let d be j(-5). Let v = d + 9. Let k(x) = x**2 + x**v + 2 - 2. Determine k(u(w)).
8*w**4
Let t(o) = 3*o**2. Let r = 26 - 20. Let a(u) = -u + 5*u - 12*u + r*u. Calculate t(a(v)).
12*v**2
Let u(y) = 5*y. Let j(s) = 47 + 50 + 42 - 2*s + 44 - 159. Calculate u(j(d)).
-10*d + 120
Let p(w) = 455*w - 286. Let l(x) = -19*x + 12. Let y(v) = -143*l(v) - 6*p(v). Let n(s) be the first derivative of -s**2/2 - 1. Give y(n(d)).
13*d
Let a(j) = 280*j**2. Let i(c) = 5*c. What is a(i(t))?
7000*t**2
Let a(g) = -645*g**2. Let v(u) = 9*u**2 - 3*u. Determine v(a(l)).
3744225*l**4 + 1935*l**2
Let t = -23 - -25. Let i(s) = -2*s**2 - 2 + 4 - t. Let r(n) be the first derivative of 7*n**3/3 + 1. Calculate i(r(w)).
-98*w**4
Let f(i) = -i. Let b = 230 + -226. Let h(x) be the second derivative of 0 + 0*x**2 - b*x + 1/2*x**3. What is f(h(v))?
-3*v
Let y(g) = -1 + 1 - 20*g. Let o(j) be the first derivative of j**4/12 - 13*j**2 + 9. Let p(t) be the second derivative of o(t). Calculate y(p(z)).
-40*z
Let h(w) = 9*w. Let d(a) be the first derivative of 76*a - 5 - 2*a**2 + 69*a - 145*a. What is h(d(c))?
-36*c
Let k(t) = -t**2 - 5*t. Let h be k(-5). Let z(y) be the third derivative of -5*y**2 + 0 + h*y - 1/12*y**4 + 0*y**3. Let o(v) = 7*v**2. Give z(o(u)).
-14*u**2
Let v(i) = -2*i + 14. Let l(c) = 10*c. Let b(t) = 6*t - 5. Let n(g) = 21*g - 18. Let a(y) = 18*b(y) - 5*n(y). Let k(p) = 14*a(p) - 4*l(p). Determine v(k(u)).
-4*u + 14
Let p be (-2)/3 + (-28)/(-6). Suppose 9 + 3 = p*s. Let i(n) = s + 0 - 3 - n. Let c(u) = -2*u. Give c(i(x)).
2*x
Let p(l) = 2*l**2 - 2*l**2 - 2*l**2. Let a(y) = -13*y + 0 + 36*y - 17*y + 0. What is p(a(x))?
-72*x**2
Let q(c) = 192*c - 1. Let z(f) = -360*f**2 + 2*f. What is q(z(j))?
-69120*j**2 + 384*j - 1
Let x(m) be the first derivative of 3*m**2/2 + 2. Let b(f) be the third derivative of 2*f**5/15 + 103*f**2. Give b(x(t)).
72*t**2
Suppose 0*o = k - o - 81, 2*k + o - 153 = 0. Let z(y) = -6*y - k + 78. Let x(n) be the third derivative of n**4/8 + 2*n**2. Give z(x(g)).
-18*g
Let g(q) = 36*q**2. Let l(c) be the second derivative of c**3/2 + 164*c. Give l(g(r)).
108*r**2
Let y(x) = -16*x. Let w(c) = -c + 4. Let p(s) = 6. Let l(q) = 2*p(q) - 3*w(q). Calculate l(y(t)).
-48*t
Let v(h) = -6953 + 7*h + 6953. Let l(n) = 38*n**2. What is l(v(f))?
1862*f**2
Let d(r) = -r. Let y(o) be the second derivative of 0 + 0*o**3 - 1/60*o**5 + 0*o**4 + 8*o + 4*o**2. Let b(c) be the first derivative of y(c). Calculate b(d(w)).
-w**2
Let j(i) = -2*i**2. Let u(s) = -320372*s + 1. What is u(j(c))?
640744*c**2 + 1
Let a(y) = -28*y**2. Let p(m) = -m. Let z(k) = 7*k**2 - 1. Let w be z(1). Let b(x) = 5*x. Let n(o) = w*p(o) + b(o). Calculate a(n(t)).
-28*t**2
Let v(f) = -45*f + 6. Let q(z) = 17*z**2. Calculate q(v(g)).
34425*g**2 - 9180*g + 612
Let r(y) = y - 12*y - 3*y. Suppose -5*c - 15 = 0, 3*j + 4*c + 4 = -2. Let q(i) = 0*i**2 - 9*i**2 + 6*i**2 + j*i**2. What is q(r(t))?
-196*t**2
Let s(j) = -j - 151749. Let o(y) = 2*y. Calculate s(o(g)).
-2*g - 151749
Let j(x) = 515*x. Let f(p) be the first derivative of -2*p**3/3 + 550. What is j(f(c))?
-1030*c**2
Let n(i) = 3*i. Let d(q) = 2*q + 2. Let u(c) = -c - 1. Let l(s) = 4*d(s) + 9*u(s). Let o(g) = -6*g**2 - 15*g - 15. Let h(a) = 30*l(a) - 2*o(a). Give n(h(p)).
36*p**2
Let n(z) = 3*z**2 + z - 1. Let s(p) = -13*p**2 - 4*p + 4. Let w(y) = -4*n(y) - s(y). Let j(b) = -841*b. What is j(w(k))?
-841*k**2
Let k(h) = 45*h - 18. Let q(u) = -13*u + 5. Let f(m) = -5*k(m) - 18*q(m). Let s(o) = -3. Let t(w) = 2*w + 3. Let v(p) = -3*s(p) - 3*t(p). What is f(v(g))?
-54*g
Let y(z) = 28*z. Let u(g) = -56*g. Let k(d) = 6*u(d) + 10*y(d). Let f(o) = -4*o**2. Calculate k(f(q)).
224*q**2
Let s(z) = -1770*z - 1. Let v(j) = j**2. What is v(s(q))?
3132900*q**2 + 3540*q + 1
Let w(d) = -12*d - 2*d + d - 9*d. Let h(o) be the second derivative of o**3/6 + 2*o + 50. Determine h(w(r)).
-22*r
Let k(w) be the first derivative of -58*w**2 - 411. Let l(g) = 3*g. Give l(k(c)).
-348*c
Let f(o) be the first derivative of 35 + 13/2*o**2 + 0*o. Let z(p) = 3*p. Calculate f(z(y)).
39*y
Let l(p) = -6*p - 3*p + 7*p. Let o(m) = 5*m + 12. Give o(l(y)).
-10*y + 12
Let o be (-176)/(-92) - (-6)/69. Let m(l) be the second derivative of 0 - 1/6*l**3 - 2*l + 0*l**o. Let a(p) = -4*p. Give a(m(i)).
4*i
Let f(m) = -9*m. Let u(l) be the third derivative of l**4/8 + 3*l**3 + 7*l**2 + 22*l. Determine u(f(s)).
-27*s + 18
Let x(w) = 3*w. Suppose 2*a + 0 = 30. Suppose 2*o = -a + 19. Let g(p) = 4 - p**o - 4. Calculate x(g(d)).
-3*d**2
Let c(i) = 2*i**2. Let u(l) = 41918 - 41918 + 161*l. Calculate u(c(t)).
322*t**2
Let g(i) = -4106*i**2. Let c(p) = 52*p. What is g(c(w))?
-11102624*w**2
Suppose 11 = 4*k - 1. Let o(c) = -c**2 + k*c**2 + 4*c**2 - 3*c**2. Let b(s) = 1948 - 1948 + s**2. Give b(o(y)).
9*y**4
Let j(w) = w - 15*w + 11 + 15*w. Let l(z) = -3*z**2. Calculate l(j(o)).
-3*o**2 - 66*o - 363
Let r(p) = -2*p**2. Let f(a) be the second derivative of 7*a**3/3 + 9*a - 2. Calculate f(r(i)).
-28*i**2
Let c(f) = 14*f**2 + 412 + 416 - 828. Let z(p) = 3*p. What is z(c(i))?
42*i**2
Let c(k) = 61*k. Let y(p) = 18*p**2 - 4*p + 4. Let j(s) = 22*s**2 - 5*s + 5. Let h(q) = -4*j(q) + 5*y(q). Give h(c(n)).
7442*n**2
Suppose 10 = 3*b + 2*b. Let y(q) = q + 12*q**b - q - 3*q**2. Let w(j) = 2*j**2. Give y(w(t)).
36*t**4
Let c(k) = 370*k - 1. Let a(o) = 546*o**2. Give a(c(m)).
74747400*m**2 - 404040*m + 546
Let p(b) = 2*b. Let r(o) = o**2 + o + 1. Let x(a) = -21 + a - 8*a + 6*a**2 + 14 - 18*a**2. Let g(f) = -21*r(f) - 3*x(f). Determine g(p(j)).
60*j**2
Let y(u) = u. Let j(p) be the first derivative of 0*p + 0*p**4 - 1/3*p**3 + 2 - 1/60*p**5 + 0*p**2. Let x(d) be the third derivative of j(d). Give y(x(q)).
-2*q
Suppose -c + 25 = -4*g, 45 = -0*c + 2*c - 3*g. Let t(d) = c*d - 85*d + 43*d. Let z(v) = 3*v. Calculate t(z(m)).
-63*m
Let w(f) = 3208*f. Let v(p) = -9*p. Determine v(w(o)).
-28872*o
Let u(z) = 0 + 21*z**2 - 2 + 2. Let w(m) = -40*m + 22*m + 21*m. Determine u(w(j)).
189*j**2
Let w(c) = -2*c. Let l(p) = -118*p**2 - 290*p + 15. Calculate l(w(s)).
-472*s**2 + 580*s + 15
Let g(d) = -229*d - 234*d + 461*d. Let b(v) = -39*v**2 - 4*v. Calculate b(g(u)).
-156*u**2 + 8*u
Let q(n) be the second derivative of 0 + 19*n + 1/2*n**3 + 0*n**2. Let u(v) = -3*v. Calculate u(q(j)).
-9*j
Let c(o) = 3*o**2 + 2*o. Let s(w) = -w. Let z(t) = -c(t) - 2*s(t). Let x(j) = 184*j**2 - 1. What is x(z(p))?
1656*p**4 - 1
Let x(c) = -6725*c**2. Let l(v) = 89*v**2. Give l(x(t)).
4025080625*t**4
Let q(p) = 3*p. Let t(k) = 8*k + 3. Let w(z) = -6*z - 2. Let m(a) = 2*t(a) + 3*w(a). Calculate m(q(o)).
-6*o
Let m(l) = -3*l**2 +