*d
Let f(x) be the first derivative of -11*x**2/2 + 250. Let a(z) be the third derivative of z**4/6 - 3*z**2. Determine a(f(c)).
-44*c
Let j(v) = -475835*v. Let f(r) = 2*r. Determine f(j(a)).
-951670*a
Let v(w) = 23*w. Let h(f) = -f**2 - 1203 - f + 1203 + f. Determine v(h(c)).
-23*c**2
Let z(m) = -1307*m**2 - 6. Let k(n) = -2*n. What is z(k(b))?
-5228*b**2 - 6
Let n(w) be the third derivative of 0*w + 0*w**3 + 0 - 10*w**2 + 7/24*w**4. Let x(l) be the second derivative of l**4/12 - 10*l. Calculate x(n(a)).
49*a**2
Let l(d) = d. Let j(w) = w**3 + 3*w**2 - 5*w - 3. Let c be j(-4). Let f(i) = 20*i**2 - 2*i + 2. Let o(q) = q - 1. Let s(g) = c*f(g) + 2*o(g). Determine l(s(p)).
20*p**2
Let o(m) = -m + 5933. Let f(r) = 809*r. Determine f(o(d)).
-809*d + 4799797
Let h(n) be the second derivative of -n**4/6 + n. Let s(d) = -12947 - 10*d**2 + 12947. Give h(s(t)).
-200*t**4
Let p(h) = -13*h + 3. Let w(y) = -12*y + 4. Let i(o) = -4*p(o) + 3*w(o). Let m(v) = -7*v**2 + 6. Let g(z) = z**2 - 1. Let l(u) = 6*g(u) + m(u). Give l(i(f)).
-256*f**2
Let i(h) = 13*h**2. Let d(b) be the third derivative of 5*b**4/24 - 6*b**2 - b. Determine i(d(p)).
325*p**2
Suppose 0 = x + 3*x - 20. Let l(m) = -13*m + 6. Let o(u) = 13*u - 5. Let a(j) = x*l(j) + 6*o(j). Let n(w) = 5*w. Calculate n(a(s)).
65*s
Let r(w) = 68464*w. Let c(p) = -2*p. What is c(r(m))?
-136928*m
Let b(u) = -2*u. Suppose -10 = -2*t - 3*t. Let n(h) = 3*h**2 - 4*h**2 + 9*h**t + 4*h**2. Give b(n(a)).
-24*a**2
Let f(i) = 10*i - 47. Let j be f(6). Let l(p) = 8 - 21 + j - 3*p**2. Let b(w) = -23*w. Calculate b(l(c)).
69*c**2
Let c(r) be the third derivative of 3/4*r**4 + 0*r - 5*r**2 + 0*r**3 + 0. Let f(t) = -4*t + 6*t - 4*t. Calculate c(f(b)).
-36*b
Let b(m) be the second derivative of 0*m**3 - 11*m + 0 - 1/6*m**4 + 0*m**2. Let g(x) = x + 1. Calculate g(b(z)).
-2*z**2 + 1
Let y(d) = -6*d**2 - d. Let r(b) = 5 + 5*b**2 + 8 - 20 + 7. Give y(r(l)).
-150*l**4 - 5*l**2
Let s(g) = 995*g - 25 - 14*g**2 + 134*g**2 - 1020*g. Let v(o) = -15*o**2 + 3*o + 3. Let m(n) = 3*s(n) + 25*v(n). Let h(l) = -2*l**2. Determine m(h(a)).
-60*a**4
Let c(v) = v**2. Let s(g) = -g + 2. Let j be s(-1). Suppose 0*u - j*u + 10 = 4*b, 2*b - u - 10 = 0. Let i(p) = 2*p + 4*p - b*p - 5*p. What is i(c(o))?
-3*o**2
Let x(c) = 6*c. Let t(l) = -3561*l**2. Calculate t(x(n)).
-128196*n**2
Let b(y) = -69*y. Let t(d) = -2*d + 21. Let m(s) = 2*s - 28. Let c(v) = 3*m(v) + 4*t(v). Determine c(b(r)).
138*r
Let h = 1 + 2. Let v(d) = 4*d + d - h*d. Let s(c) = -196 + 9*c**2 + 196. Give v(s(u)).
18*u**2
Suppose -i = -8 + 3. Let u(s) = -i*s**2 + 0*s**2 + 7*s**2. Let t(h) = -4*h. Calculate t(u(q)).
-8*q**2
Let i(n) = -16*n. Let j(z) = 29552*z. Determine i(j(u)).
-472832*u
Let m(b) = -41*b**2 - 40*b**2 + 119*b**2 - 34*b**2 - 46. Let w(j) = 4*j. Give w(m(g)).
16*g**2 - 184
Let k(n) = -2 - 58*n + 28*n + 29*n. Let z(f) = -2*f**2. Determine k(z(r)).
2*r**2 - 2
Let g(z) = 52*z**2. Let h(p) be the first derivative of p**3 + 45. Give h(g(x)).
8112*x**4
Let l(i) = -10*i**2. Let f(v) = -2076*v**2. What is l(f(p))?
-43097760*p**4
Let z(t) = -7*t. Suppose -2*r + 14 = -r. Let x(j) = j**2 - 2*j - 2. Let q(g) = -4*g**2 + 7*g + 7. Let i(n) = r*x(n) + 4*q(n). Give z(i(m)).
14*m**2
Let n(u) = 5*u**2. Let d(f) = -550*f**2 + 12*f - 28*f + 551*f**2. Give d(n(t)).
25*t**4 - 80*t**2
Let i(p) = 116525*p. Let v(y) = -y. What is i(v(h))?
-116525*h
Let y(n) be the first derivative of 7*n**2 + 642. Let a(c) = -4*c - 2. Let z(v) = -5*v - 3. Let r(i) = 6*a(i) - 4*z(i). Determine r(y(l)).
-56*l
Let o(s) = -2*s**2 - 30. Let q(x) = -658*x**2. What is o(q(g))?
-865928*g**4 - 30
Let v(z) be the second derivative of z**3/2 - 9*z. Let x(k) be the first derivative of -5*k**2/2 - 17. Give v(x(y)).
-15*y
Let b(i) = i. Let k(c) = 2*c. Let d(z) = 8*b(z) - 3*k(z). Suppose 4*o - j - 33 = 0, -5*o + j + j + 45 = 0. Let v(p) = o*p - 3*p + 0*p. What is d(v(l))?
8*l
Suppose 0 = i + 4*p - 36, i - 2*p - 4 = 2. Let h(o) = -7*o + i*o - 4*o. Let s(n) = 2*n. Give h(s(j)).
10*j
Let s(x) be the second derivative of x**6/720 - 5*x**4/6 - 12*x. Let d(j) be the third derivative of s(j). Let y(k) = k**2 + k**2 + 3*k**2. Give d(y(u)).
5*u**2
Let t(w) = 22*w**2. Let a(q) = -q**2 + 634*q - 47. Give a(t(g)).
-484*g**4 + 13948*g**2 - 47
Let r(c) = c**2. Let w(x) = 3*x - 4378. Determine r(w(d)).
9*d**2 - 26268*d + 19166884
Let g(a) = -3*a**2. Let l(z) = -6200*z**2. Give g(l(h)).
-115320000*h**4
Let x(y) = -11*y + 25. Let j(s) = -817*s + 2. What is x(j(w))?
8987*w + 3
Let k(p) be the first derivative of -7*p**2 - 33. Let z(d) = -5 + 0 + 6. Let c(g) = g + 5. Let l(w) = c(w) - 5*z(w). What is k(l(h))?
-14*h
Let q(a) = a**2. Let z(w) be the first derivative of -359*w**2/2 + 11. Give z(q(b)).
-359*b**2
Let p(b) = 8*b**2. Let u(i) = 212111*i**2. Determine p(u(y)).
359928610568*y**4
Let f(k) = -8*k**2 + 3*k**2 + 4*k**2. Let y(s) = -6*s - 42. Give f(y(h)).
-36*h**2 - 504*h - 1764
Let s(u) = 4*u**2. Let d(n) be the third derivative of 0*n + 1/8*n**4 + 0 + 0*n**3 - 14*n**2. Determine s(d(j)).
36*j**2
Let v(y) be the second derivative of 7*y**3/6 + 26*y - 1. Let s(f) = -5*f. What is v(s(x))?
-35*x
Let s(u) = -3*u + 3. Suppose -2*x + 7*x = -15. Let g(c) = -1. Suppose 63 - 54 = -9*l. Let t(p) = l*s(p) + x*g(p). Let m(j) = j. What is m(t(h))?
3*h
Let k(t) be the first derivative of -t**2/2 - 159. Let f(s) be the first derivative of 49*s**3/3 - 3. Give k(f(g)).
-49*g**2
Let w(r) = -10820*r - 6. Let n(k) = -14*k. Determine w(n(c)).
151480*c - 6
Let d(m) be the second derivative of -m + 1/12*m**4 + 0 + 0*m**2 + 0*m**3. Let a(j) = -6*j + 6*j + 8*j**2. What is a(d(l))?
8*l**4
Let z(l) = -5*l. Let h(s) be the third derivative of -s**6/180 + 5*s**4/8 - 4*s**2. Let n(a) be the second derivative of h(a). Determine n(z(v)).
20*v
Let p(f) be the first derivative of 3*f**2 - 6953. Let c(o) = -6*o**2 + 3*o**2 + 2*o**2. Calculate c(p(z)).
-36*z**2
Let o(l) = 5*l. Let u(r) = 2 - 3*r + r + 2*r + 97*r**2 - 27*r**2. Give u(o(z)).
1750*z**2 + 2
Let v(h) = 2*h. Let y(a) = 14*a**2 - 7*a. Let z be (-1)/(4/84*-3). Let g(c) = -5*c**2 + 2*c. Let r(x) = z*g(x) + 2*y(x). Give v(r(p)).
-14*p**2
Let c(d) = 2*d**2. Let s(k) be the second derivative of 374*k**3/3 + 67*k. Determine c(s(j)).
1119008*j**2
Let p(h) = -4*h**3 - 4*h**2 - h + 3. Let c be p(-1). Let m(d) be the third derivative of 1/12*d**c + 0 + 0*d**3 + 0*d - 12*d**2. Let v(t) = -5*t. Give m(v(i)).
-10*i
Suppose -2*m = -j - 6 - 3, -j - 5 = 0. Let z(p) = -3. Let c(h) = h - 2. Let v(f) = m*z(f) - 3*c(f). Let w(o) = 9*o. What is w(v(l))?
-27*l
Let w(s) be the third derivative of 0 + 0*s + 7/20*s**5 + 0*s**4 - 15*s**2 + 0*s**3. Let t(b) = -b. Determine t(w(n)).
-21*n**2
Let d(g) be the third derivative of g**5/6 - 18*g**2 - 2*g. Let h(a) = -2*a**2. Give d(h(q)).
40*q**4
Let z(c) be the second derivative of -3*c**4/4 - 4*c + 16. Let k(b) = -3*b**2. What is k(z(w))?
-243*w**4
Let z(d) = 27*d**2. Let v(u) be the third derivative of -u**7/1260 - 3*u**4/4 - 7*u**2. Let n(o) be the second derivative of v(o). What is n(z(b))?
-1458*b**4
Let g(o) = 3*o. Let p(k) = -8*k**2 - 9*k**2 + 4*k**2 - k**2. Determine g(p(z)).
-42*z**2
Let m(v) = -26*v + 49. Let t(r) = -3*r**2 - 17. Give t(m(q)).
-2028*q**2 + 7644*q - 7220
Let j(c) = -c**2. Let a(u) = 6*u**2 + u + 1. Let h(m) = 37*m**2 - 3*m - 3. Let g(t) = 6*a(t) + 2*h(t). Give j(g(o)).
-12100*o**4
Let c(w) = w - 1. Let m be c(1). Let o(z) = 0*z + m*z + 10*z**2. Let u(x) be the third derivative of x**4/12 + 5*x**2 + 7*x. Give o(u(q)).
40*q**2
Let y(u) = -3*u**2. Let r = 263 + -263. Let w(s) be the second derivative of -1/4*s**4 + 7*s + 0*s**3 + 0 + r*s**2. What is w(y(d))?
-27*d**4
Let d(i) = -6*i**2. Let x(v) = 6*v**2 - 1. Let y be x(-1). Let u(o) = -3580 - y*o + 3580. Calculate u(d(n)).
30*n**2
Let w(z) = 4966*z**2. Let p(a) = -21*a**2. What is w(p(o))?
2190006*o**4
Let d(t) = 66*t - 3. Let x(k) = k**2 - 1. Calculate x(d(o)).
4356*o**2 - 396*o + 8
Let k(c) = -c**2. Let w(b) = -9. Let x(s) be the third derivative of 0 + 0*s + 5*s**2 + 1/24*s**4 + s**3. Let m(y) = -6*w(y) - 9*x(y). Determine m(k(g)).
9*g**2
Let q(l) = 1051*l**2. Let u(t) = 3*t**2 - 2. Give q(u(d)).
9459*d**4 - 12612*d**2 + 4204
Let i(r) = -3*r. Let t(u) = 846039*u. Give i(t(w)).
-2538117*w
Let x(n) = -n**3 - 17*n**2 - 