*4 - 1040*t**2 - 1352
Let p(j) = 2*j. Let i(s) be the second derivative of 169*s**4/12 + s**3/6 + s - 176. Give i(p(k)).
676*k**2 + 2*k
Let r(b) = b - 1. Let m(p) = 2*p**2 - 2*p + 5. Let x(d) = -m(d) - 2*r(d). Let a(k) be the first derivative of x(k). Let c(n) = -7*n. Give a(c(f)).
28*f
Let r(w) = w. Let q(l) = -248*l - 48. Let y(n) = 26*n + 5. Let j(t) = -5*q(t) - 48*y(t). Calculate r(j(s)).
-8*s
Let h(m) = -m**2 + 194 + 0*m**2 - 381 + 187. Let x(n) = -443*n**2 + 2. What is x(h(z))?
-443*z**4 + 2
Suppose -3 + 1 = -h. Let s be 12/(-16) + (-6)/(-8). Let n(k) = s*k + 5*k - 5*k - 13*k**h. Let x(w) = -2*w**2. What is n(x(z))?
-52*z**4
Let z(p) = 18 - 466*p**2 + 11 + 230*p**2 + 238*p**2. Let n(c) = c**2. Calculate n(z(q)).
4*q**4 + 116*q**2 + 841
Let h(y) = y**2 + y - 4. Let f(l) = -5*l**2 - 6*l + 22. Let z(m) = 2*f(m) + 11*h(m). Let k(j) = -j. Let s(c) = -c. Let p(r) = -3*k(r) + 2*s(r). What is z(p(t))?
t**2 - t
Let p(c) = -30*c. Let f(u) be the first derivative of -27 + 0*u - 2/3*u**3 + 0*u**2. Give f(p(o)).
-1800*o**2
Let x(t) be the first derivative of t**3/3 + 7*t + 179. Let w(d) = 3*d**2. Determine x(w(i)).
9*i**4 + 7
Let l(m) be the third derivative of 5*m**4/24 - 4*m**2. Let z(v) be the second derivative of -v**3/6 - 70*v. Calculate l(z(k)).
-5*k
Let i(o) = -17438*o. Let c(d) = -11*d. Calculate i(c(x)).
191818*x
Let v(r) = 8*r**2 - 3*r - 3. Let b(u) = -13*u**2 + 5*u + 5. Let o(g) = 3*b(g) + 5*v(g). Let k(m) = -81*m**2. Give k(o(d)).
-81*d**4
Suppose 0 = -3*a - 4*t + 172, 0*t - 219 = -4*a + 5*t. Let p(c) = 28 - a + 28 + 3*c. Let x(y) be the second derivative of y**3/2 + 2*y. Calculate p(x(r)).
9*r
Let z(i) = -5*i + 27. Let y(n) = 27*n + 21*n + 20*n - 93*n + 27*n. Give y(z(c)).
-10*c + 54
Let p(x) = 61*x**2. Let n(b) = -10706*b**2. Calculate n(p(q)).
-39837026*q**4
Let u(y) = y**3 + 9*y**2 + 13*y + 6. Let a be u(-6). Let x(p) = -20 + a - 2*p - 16. Let i(c) = -9*c**2 + 1. Give i(x(l)).
-36*l**2 + 1
Let f(x) = 23*x - 6. Let b(z) be the first derivative of 2*z**3/3 + 469. Calculate b(f(h)).
1058*h**2 - 552*h + 72
Let t(r) = 6*r**2. Let n(g) be the second derivative of -g**5/40 + 14*g**3/3 - 12*g. Let d(w) be the second derivative of n(w). Determine d(t(q)).
-18*q**2
Let v(h) = h**2. Suppose 2*c - 16416 = -4*n, c - 8205 = 2*n - n. Let i(j) = 6*j**2 - c + 8206. Determine i(v(u)).
6*u**4
Let m(g) = 15*g**2. Let p(l) = 10*l - 16. Calculate m(p(o)).
1500*o**2 - 4800*o + 3840
Let f(s) = 218*s - 104*s - 115*s. Let a(y) = 2*y**2 - 7. Calculate a(f(u)).
2*u**2 - 7
Let w(q) = 2*q. Let s(u) = 4*u + 5989. Determine w(s(a)).
8*a + 11978
Let a(p) = p**2 - 5*p + 2. Let o be a(5). Let w(l) = o*l**2 + l**2 - 4*l**2. Let d(g) = -332*g**2 + 79*g**2 + 128*g**2 + 126*g**2. Give d(w(c)).
c**4
Let o(i) be the first derivative of 0*i - 3 + 7/2*i**2. Let a(u) = u. Let l(m) = -4*m. Let n(w) = -2*a(w) - l(w). Calculate o(n(j)).
14*j
Let r = 0 + 7. Let b(y) = 2*y - r*y - 2*y + 3*y. Let k(h) = -h**2. Calculate k(b(m)).
-16*m**2
Let x(a) = a**2. Let g(j) = -1923031*j**2. What is g(x(t))?
-1923031*t**4
Let d(f) be the third derivative of 3*f**4/4 - 14*f**3/3 - 196*f**2 + 2*f. Let y(a) = -a**2. Determine d(y(k)).
-18*k**2 - 28
Let o(i) = -i + 0*i + 0*i. Let f(k) = k**2 + k - 1. Let b(m) = 20*m**2 + 16*m - 16. Let n(d) = d - 23. Let j be n(7). Let h(y) = j*f(y) + b(y). What is o(h(w))?
-4*w**2
Let j(a) = -2*a. Let g = 21 - 18. Suppose -g*l + 0 - 3 = 0, 0 = -c + 4*l + 9. Let r(s) = -s - s**2 - 4*s + c*s. Calculate j(r(o)).
2*o**2
Let u = -1882 - -1882. Let w(x) be the third derivative of u*x + 0*x**3 + 0 + 1/30*x**5 + 2*x**2 + 0*x**4. Let l(b) = 13*b. What is l(w(q))?
26*q**2
Let q(y) = -17*y**2. Let u(z) = 5 - 4 + 29*z**2 - 16*z**2 - 1. Calculate u(q(d)).
3757*d**4
Suppose -3*c = -2*c + 3*c. Let m(b) be the first derivative of -5/3*b**3 + 0*b**2 + c*b + 1. Let t(w) = w**2. Determine m(t(s)).
-5*s**4
Let w(q) = -q**2. Let i(t) be the second derivative of t**4/6 - 7*t**3/6 + 53*t - 2. Determine i(w(y)).
2*y**4 + 7*y**2
Suppose 4*z = -z. Suppose -j = -a - a - 12, z = -j - 5*a - 23. Let m(p) = -7*p**2 - 5 + 3 + j. Let k(b) = 2*b. Calculate m(k(t)).
-28*t**2
Let i(b) = 8*b. Let p(q) be the first derivative of -q**5/15 - 6*q**2 - 39. Let f(n) be the second derivative of p(n). Determine f(i(a)).
-256*a**2
Let v(p) = -p**2. Let l(h) = 184*h**2 + 1186*h. Calculate l(v(o)).
184*o**4 - 1186*o**2
Let v(o) = -19*o**2. Let f(q) = -65*q**2 + 27*q**2 + 32*q**2. What is v(f(b))?
-684*b**4
Let d(b) = 2*b**2. Let z(u) be the second derivative of -13*u**6/180 + 5*u**3/3 + 24*u. Let s(c) be the second derivative of z(c). What is s(d(q))?
-104*q**4
Let n(r) = 190*r**2. Let g(a) = -7*a. Determine n(g(f)).
9310*f**2
Let i(q) = -14*q**2. Let w(o) = 521*o. What is i(w(t))?
-3800174*t**2
Let p(z) = 22*z + 3. Let a(t) = 10*t**2 - 8*t. Let j(s) = -23*s**2 + 18*s. Let k(q) = -9*a(q) - 4*j(q). Give k(p(y)).
968*y**2 + 264*y + 18
Let t(y) be the third derivative of y**4/8 - y**2. Let k be ((-2 - 0) + 0)/(-1). Let h(n) = n**2 + 0*n**k + 0*n**2 + n**2. What is t(h(d))?
6*d**2
Let y(h) = -139*h**2. Let v(g) = -6*g - 15. Determine v(y(c)).
834*c**2 - 15
Let p(g) = 34*g**2 - 4. Let b be p(-2). Let l(o) = -15*o - 69 + b - 63. Let f(j) = -2*j**2. Determine l(f(i)).
30*i**2
Let a(p) = -4*p. Let q(g) be the third derivative of -g**5/30 - 23*g**3/3 + 8*g**2 + 2. What is a(q(h))?
8*h**2 + 184
Let l(h) = -3*h**2. Let n(d) = -9*d**2. Let p(u) = u**3 + u - 4. Let o be p(0). Let q(w) = o*n(w) + 11*l(w). Let r(f) = -3*f. What is q(r(b))?
27*b**2
Let m(y) = y**2. Let v(f) be the second derivative of 1/4*f**4 + f**2 + 14*f + 0*f**3 + 0. Calculate m(v(n)).
9*n**4 + 12*n**2 + 4
Let i(o) = -70*o**2. Let y(x) = 12*x**2 - 6*x**2 - 5*x**2. Determine y(i(s)).
4900*s**4
Let n(w) be the first derivative of -7*w**2/2 - 36. Let r(x) = -3*x. Let t(m) = -15*m. Let j(f) = -11*r(f) + 2*t(f). Calculate n(j(z)).
-21*z
Let x(f) = -3*f**2. Let t(p) be the second derivative of 0*p**2 - 2/3*p**4 + 0 - 3*p + 0*p**3. Calculate t(x(m)).
-72*m**4
Let s(p) be the first derivative of -70*p**2 + 11*p + 6. Let v(n) = -28*n + 2. Let t(x) = 2*s(x) - 11*v(x). Let k(l) = -l**2. Determine k(t(o)).
-784*o**2
Let s(w) = -4173*w**2 + 2. Let n(q) = -q. Calculate s(n(g)).
-4173*g**2 + 2
Let o(j) = -10*j**2. Let u(d) = -18*d + 17. Calculate u(o(v)).
180*v**2 + 17
Let k(f) = 19*f**2. Let s(o) = 12 - 41 + 16 + 13 - 14*o. Determine k(s(x)).
3724*x**2
Let u(q) = q - 1. Let y(t) = -11*t + 6. Suppose -2*c - 3*b = -c + 6, 0 = c + 4*b + 6. Let g(n) = c*u(n) - y(n). Let r(p) = -p**2. What is r(g(w))?
-25*w**2
Let y(w) = -56*w. Let a(l) be the second derivative of l**3/6 + 339*l. Determine y(a(t)).
-56*t
Let f(v) = 2*v. Let i(x) = 9*x - 7596. Determine f(i(b)).
18*b - 15192
Let z(v) = -v. Suppose 5*r = 4*n - 13, -14*r = 4*n - 12*r - 6. Let b(s) be the first derivative of -3/2*s**n + 0*s - 2. What is b(z(k))?
3*k
Let k(g) be the first derivative of 137*g**3/3 + 349. Let m(s) = -4*s**2. Give k(m(c)).
2192*c**4
Let w = 20 - 16. Suppose 2*n - w*n = -4*y - 20, -3*y - 4 = 4*n. Let c(q) = -15 + n*q + 15. Let u(s) = -4*s**2. Calculate c(u(o)).
-8*o**2
Let v(w) = 4*w. Let l(y) be the third derivative of -16*y**5/15 + 9*y**2 + 5. What is v(l(c))?
-256*c**2
Let c(z) = 2901*z. Let u(o) = -13*o - 6. Determine c(u(h)).
-37713*h - 17406
Let y(h) = -2*h**2. Let z(u) = u + 72989. Calculate z(y(l)).
-2*l**2 + 72989
Let v(r) = 2*r**2 - 45*r - 253. Let z(k) = -3*k. Determine v(z(x)).
18*x**2 + 135*x - 253
Let l(p) be the second derivative of p**4/6 + 40*p - 2. Let t(g) = 48*g**2. What is t(l(s))?
192*s**4
Let w(z) be the third derivative of z**4/12 + 72*z**2. Let a(d) be the third derivative of -7*d**5/30 - 30*d**2. Calculate w(a(f)).
-28*f**2
Let o(x) = 129 + 5*x + 8*x - 129 - 12*x. Let t(c) = 192*c**2. Calculate t(o(n)).
192*n**2
Let f(c) = 3*c - 5*c - 4*c**2 + 2*c**2 + 2*c. Let a(h) = 2*h**2 + 6*h. Calculate f(a(z)).
-8*z**4 - 48*z**3 - 72*z**2
Let q(u) = -21*u + 1. Let s(j) = 324*j. Determine s(q(m)).
-6804*m + 324
Let f(m) = -5*m**2 + 299*m - 288*m - m**2. Let n(v) = -2*v. Determine f(n(h)).
-24*h**2 - 22*h
Let c = -1325 - -3976/3. Let q(a) be the first derivative of 0*a**2 - 3 + c*a**3 + 0*a. Let h(x) = 13*x**2. Determine h(q(y)).
13*y**4
Let q(a) = -28*a**2. Let z(h) = 172 - 5*h**2 -