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Let k(x) = x**2 - 13. Let w(s) = -48*s + 99. Let d(o) = -3*o + 6. Let j(t) = 33*d(t) - 2*w(t). What is j(k(v))?
-3*v**2 + 39
Let v(q) = -16*q. Let c(r) = 33*r. Let t(i) = 5*c(i) + 11*v(i). Let k(a) be the first derivative of a**3/3 - 20. Give k(t(d)).
121*d**2
Let j(b) = -2*b. Let s(g) = -14*g. Let r(t) = -224*t. Let n(h) = 4*r(h) - 63*s(h). Determine n(j(w)).
28*w
Let v(p) = p + 65. Let z(t) = t + 372 - 189 - 183. Give z(v(q)).
q + 65
Let p(s) = s. Let h(o) = -516185*o**2. What is p(h(i))?
-516185*i**2
Let q(w) = -4 - 2*w + 41*w**2 + 2*w - 84*w**2 + 41*w**2. Let t(k) = -k**2. Determine t(q(p)).
-4*p**4 - 16*p**2 - 16
Suppose -2*p + 4*p = i + 18, 0 = 4*p - i - 36. Let n(c) = -p*c**2 - 9*c**2 + 20*c**2. Let o(u) = -12*u. What is n(o(q))?
288*q**2
Let s(w) be the first derivative of 0*w + 13/2*w**2 - 3. Let v(h) = -h**2. Determine v(s(d)).
-169*d**2
Let z(g) = -2*g. Let t(r) be the third derivative of 31*r**6/360 + r**4/24 - 19*r**3/6 - 42*r**2. Let l(m) be the first derivative of t(m). What is z(l(d))?
-62*d**2 - 2
Let o(c) = c. Let p be o(-6). Let n be 8/p*9/(-6). Let v(t) = -12*t**2 - 7*t**n + 3*t**2 + 3*t**2. Let f(i) = -i**2. What is f(v(s))?
-169*s**4
Let h(g) = g**2. Let b(z) = 1035718*z**2. What is b(h(u))?
1035718*u**4
Let a(j) be the second derivative of 4*j**3/3 - 44*j. Let r(v) be the second derivative of -v**3/6 + v. Determine a(r(p)).
-8*p
Let b(i) = 3*i**2. Let c(z) be the first derivative of -17*z**6/360 - 2*z**3/3 - 21*z - 35. Let y(s) be the third derivative of c(s). Calculate y(b(q)).
-153*q**4
Let r(i) = -37*i**2. Let o(x) = 0*x + 6*x - 13*x**2 - 6*x + 14*x**2. Determine r(o(w)).
-37*w**4
Let l(f) = 5*f**2 + 4*f - 4. Let a(m) = -4*m**2 - 3*m + 3. Let z(k) = -4*a(k) - 3*l(k). Let o(i) = 19*i - 25 - 7*i + 25. Determine o(z(u)).
12*u**2
Let p(l) = 5*l**2. Let o(u) be the second derivative of u**6/40 + 11*u**3/3 - 6*u. Let r(g) be the second derivative of o(g). What is p(r(d))?
405*d**4
Let p(l) = -l. Let r(z) = -z**2 + 4*z + 19225. Give r(p(i)).
-i**2 - 4*i + 19225
Let t(f) = -8*f. Let l(z) = -576*z. Calculate l(t(v)).
4608*v
Let t(u) = 18*u + 5. Let x(z) = -23*z - 6. Let s(o) = 6*t(o) + 5*x(o). Let k(h) = -7*h**2. Give k(s(v)).
-343*v**2
Let a(f) = -2*f. Let n(o) = -2*o. Let s(k) = 6*a(k) - 5*n(k). Let x(i) = -i**3 - 5*i**2 + i + 8. Let u be x(-5). Let p(r) = 7*r + r - u*r. Give p(s(y)).
-10*y
Let p(m) = m + 9. Let a be p(-5). Let l(j) be the second derivative of j + 0*j**3 + 0*j**2 + 0 - 1/3*j**a. Let c(r) = -2*r. Calculate l(c(i)).
-16*i**2
Let c be (0 - (-4)/10)*5. Let p be 19/(855/972) - (-6)/(-10). Let t(i) = 21 + c*i - p. Let g(v) = 20*v**2. Give g(t(o)).
80*o**2
Let d(q) = q - 25. Let a(h) = 322*h**2 - 6*h + 10. Let i be a(5). Let c(m) = -m**2 - 8030*m + i*m. Give d(c(b)).
-b**2 - 25
Let z(y) = -812908*y**2. Let a(f) = 3*f**2. Calculate z(a(o)).
-7316172*o**4
Let o(v) = 12*v**2 + 1. Let a(s) = -2*s**2 - 15*s + 459. Give a(o(q)).
-288*q**4 - 228*q**2 + 442
Let a(k) = 2*k**2 - 2330*k + 5. Let c(y) = 3*y. Calculate a(c(x)).
18*x**2 - 6990*x + 5
Let t(g) = -3*g**2 + 338*g. Let f(i) = -4*i**2. Determine t(f(a)).
-48*a**4 - 1352*a**2
Let i(r) = -34*r**2. Let y(p) = 36*p**2 + 15*p - 15. Let z(l) = 5*l**2 + 2*l - 2. Let f(s) = 2*y(s) - 15*z(s). Give f(i(x)).
-3468*x**4
Let d(b) = -3461*b. Let i(z) = 5*z**2. Determine i(d(t)).
59892605*t**2
Let s(u) = -33253*u**2 - 4*u. Let v(x) = -14*x. Determine s(v(z)).
-6517588*z**2 + 56*z
Let s(h) = 57*h - 95. Let g(q) = 19*q - 30. Let x(j) = 19*g(j) - 6*s(j). Let w(y) = 19*y. Give w(x(k)).
361*k
Let m(l) = -508275*l. Let c(b) = 2*b. Determine c(m(i)).
-1016550*i
Let n(x) be the first derivative of -4*x**5/15 - 2*x**3/3 + x**2/2 + 56. Let q(u) be the third derivative of n(u). Let d(a) = 3*a. What is q(d(j))?
-96*j
Let s(d) = -31*d**2. Let j(w) = -84*w + 4 + 80*w - 4. Determine j(s(f)).
124*f**2
Let t(l) = -3 - 3*l**2 + 2*l**2 + 3. Let b(v) = -v - 1. Let h(y) = -2*y**2 - 10*y - 10. Let r(g) = 40*b(g) - 4*h(g). Give r(t(z)).
8*z**4
Let j(d) = -60*d**2 - 591. Let b(s) = 12*s. Calculate j(b(k)).
-8640*k**2 - 591
Let i(b) = 2*b + 2. Let n(z) = -6238*z. What is n(i(w))?
-12476*w - 12476
Suppose 17 = b + 5*g, 0 = -5*b + b - 2*g + 14. Let t(r) = -r**b - 1 + 2*r**2 + 1. Let u(z) be the second derivative of -z**4/6 + 21*z. Give t(u(k)).
4*k**4
Let a(z) = -17*z. Let k(m) be the first derivative of -7*m**2/2 - 195. What is k(a(q))?
119*q
Let y(q) be the second derivative of 4*q**3/3 + 19*q + 11. Let x(b) = 4*b**2 - 8*b. Determine y(x(v)).
32*v**2 - 64*v
Let f(i) be the first derivative of -i**2/2 + 4. Let q(d) = 119*d. Calculate f(q(o)).
-119*o
Let p(t) = t. Let m(z) = 42*z**2 + 2*z - 19624. Give m(p(s)).
42*s**2 + 2*s - 19624
Let r(s) = -16*s. Let p(h) be the first derivative of -h**6/360 + 4*h**3 + 15. Let d(m) be the third derivative of p(m). Determine d(r(t)).
-256*t**2
Let d(s) = s**2. Let i(y) be the third derivative of 0*y - 1/6*y**4 + 7*y**2 + 0*y**3 + 0. Give i(d(j)).
-4*j**2
Let s(l) = 2*l. Let o(w) = -7*w + 44. Calculate s(o(j)).
-14*j + 88
Let c(i) be the third derivative of 0*i**4 - 1/12*i**5 + 0*i**3 + 0 - 2*i**2 + 0*i. Let v(n) = -7587 - n**2 + 15165 - 7578. Calculate v(c(o)).
-25*o**4
Let j(m) = 5*m - 1. Let a(s) = 8*s - 2. Let f(p) = 6*a(p) - 12*j(p). Let q(u) = 32*u. Determine f(q(k)).
-384*k
Let t(k) = -45*k**2 - 19*k + 26. Let f(u) = u**2. Give t(f(b)).
-45*b**4 - 19*b**2 + 26
Let w(t) = 8*t**2 - 457. Let p(z) = 44*z. Determine p(w(m)).
352*m**2 - 20108
Let p(z) = 28*z**2 - 67*z**2 + 6*z**2 + 30*z**2. Let y(b) = -10*b. What is p(y(s))?
-300*s**2
Let w(m) be the first derivative of 11*m**3/3 + 5. Let y(o) be the second derivative of o**3/2 + 71*o. Give y(w(s)).
33*s**2
Let j(y) = 438*y + 1. Let d(a) = 20*a**2. Give j(d(l)).
8760*l**2 + 1
Let g(t) = -t. Let z(m) be the third derivative of 3*m**5/2 + 5*m**2 - 34*m. Determine g(z(y)).
-90*y**2
Let n(f) = f**2 + 1. Let l(r) = 12*r**2 + 6. Let i(b) = l(b) - 6*n(b). Let y(h) = -h - h - h + 2*h. Determine i(y(d)).
6*d**2
Let z = -8 + 8. Let q = 52 + -4. Let y(d) = q*d**2 + 0*d + z*d - 50*d**2. Let w(g) = -3*g**2. What is w(y(f))?
-12*f**4
Let w(s) = 70*s**2. Let n(d) be the second derivative of 0 + 1/12*d**4 + 0*d**3 - 26*d + 0*d**2. Give w(n(g)).
70*g**4
Let b(d) be the third derivative of d**4/12 - 36*d**2. Let k(o) = 8*o**2 - 2. What is k(b(p))?
32*p**2 - 2
Let c(v) = -119*v**2. Let u(w) = -1234*w. Calculate c(u(h)).
-181207964*h**2
Let l(d) = 11*d + 2. Suppose 3*y = -5*h - 40, -h = y + 4 + 6. Let p(q) = 23*q + 5. Let u(v) = h*l(v) + 2*p(v). Let o(s) = -s. Give u(o(z)).
9*z
Let g(z) = 4*z + 3. Let t(k) be the first derivative of 7*k**2/2 + 5*k + 10. Let n(p) = -5*g(p) + 3*t(p). Let y(f) = -6*f**2. What is y(n(d))?
-6*d**2
Let y(j) be the second derivative of -j**4/3 + 23*j + 1. Let t(k) = -20*k**2. What is y(t(s))?
-1600*s**4
Let c(a) = -20*a. Let t(u) = 3*u + 8. Give c(t(i)).
-60*i - 160
Let i(z) be the second derivative of 0*z**3 + 1/12*z**4 + 6*z + 0 + 0*z**2. Let d(p) = -63*p**2. Determine i(d(t)).
3969*t**4
Let y(q) = -20*q**2. Let o(a) = 97174*a**2. Determine o(y(x)).
38869600*x**4
Let x(r) be the first derivative of -1/2*r**2 + 0*r + 14. Let o(q) be the first derivative of -7*q**3/3 + 5. Calculate o(x(p)).
-7*p**2
Let w(y) be the third derivative of -y**6/180 + 8*y**3 + y**2 + 20. Let j(a) be the first derivative of w(a). Let q(m) = -27*m - 2. Determine q(j(n)).
54*n**2 - 2
Let p(s) = 60*s - 6. Let x(o) = -58*o + 5. Let v(q) = -5*p(q) - 6*x(q). Let a(w) = 8*w. What is v(a(y))?
384*y
Let w(y) = -y**2. Let v(u) be the first derivative of -15*u**2/2 - 305. Calculate v(w(f)).
15*f**2
Let j(b) be the first derivative of -b**5/60 + b**2/2 - 1. Let f(k) be the second derivative of j(k). Let r(a) = -19*a - 2*a**2 + 19*a. Give r(f(s)).
-2*s**4
Let x(g) = -51*g**2 + 6 + 44*g**2 - 7. Let m(t) = t**2. Calculate m(x(i)).
49*i**4 + 14*i**2 + 1
Let l(a) = 3*a**2. Let y(d) = 8706*d. Determine l(y(t)).
227383308*t**2
Let k(n) = -20*n. Suppose -50*o = -79*o + 58. Let m(j) be the first derivative of -1/3*j**3 + 0*j**o + 8 + 0*j. Calculate m(k(b)).
-400*b**2
Suppose -5*k + 5*w + 60 = 0, w + 1 = -2*k + 13. Let p(u) = u - u - k*u. Let o(b) = -b**2. What is p(o(i))?
8*i**2
Let q(u) = 17*u + 1. Let h(x) = 9*x**2 + 7*x - 42. Let o(i) = i**2 + i - 6.