4 - 6
Let f(i) = 7*i**2 + 13*i. Let x(u) be the first derivative of u**3/3 + 425. Determine x(f(m)).
49*m**4 + 182*m**3 + 169*m**2
Let l(r) = 3*r**2. Let b(t) be the first derivative of 13*t**5/30 - 21*t**2/2 - 13. Let u(n) be the second derivative of b(n). Give u(l(m)).
234*m**4
Let t(u) = -6*u**2. Suppose 2*l = -5*l + 210. Let k(x) = x. Let r(n) = 8*n. Let i(q) = l*k(q) - 5*r(q). Calculate t(i(b)).
-600*b**2
Let a(n) = 3*n - 7. Let q(m) = 830*m + 3. Calculate q(a(b)).
2490*b - 5807
Let k(z) = 2665*z**2. Let d(i) = -154*i. Calculate k(d(c)).
63203140*c**2
Let t(p) = 115*p - 247*p + 134*p. Let w(j) = j - 373. Calculate w(t(k)).
2*k - 373
Let y(p) = 2*p**2. Let b(a) = 28*a**2 + 6*a. Let i(r) = -29*r**2 - 7*r. Let k(d) = -6*b(d) - 5*i(d). Determine y(k(m)).
1058*m**4 + 92*m**3 + 2*m**2
Let l(w) = -26*w + 12*w + 12*w. Let k(m) be the second derivative of 0 + m + 0*m**2 + 11/6*m**3. Calculate l(k(u)).
-22*u
Let c(i) be the second derivative of i**4/12 + 11*i. Let k(v) = -15*v**2 - 22*v + 14*v + 8*v. Determine c(k(w)).
225*w**4
Let x(j) = 10. Let d(f) = -f - 18. Let l(u) = 2*d(u) + 5*x(u). Let n(m) = m**2. Determine n(l(y)).
4*y**2 - 56*y + 196
Let t(h) be the first derivative of -4*h**3/3 - 64. Let d(r) = -2*r. What is d(t(l))?
8*l**2
Let b(f) = 8*f**2. Let n(h) be the third derivative of -h**6/360 + 31*h**3/6 + 15*h**2. Let s(l) be the first derivative of n(l). Give s(b(k)).
-64*k**4
Let b(q) = q**2. Let h = -13 + 19. Let r(j) = 3*j**2. Let i(n) = h*b(n) - 3*r(n). Let m(p) = -8*p. Calculate m(i(f)).
24*f**2
Let j(s) = 2*s. Let k(v) = -13001*v**2. Determine j(k(i)).
-26002*i**2
Let r(k) = 75658*k. Let q(s) = 50*s**2. What is q(r(g))?
286206648200*g**2
Let y(t) = -6*t**2 - 5*t + 4. Let b(p) = -131*p**2. Determine y(b(r)).
-102966*r**4 + 655*r**2 + 4
Let h(z) = 12329*z. Let x(t) = 5*t. Give x(h(y)).
61645*y
Let q(i) = -2*i**2 + 39*i + 35. Let r(j) = -89*j. Give r(q(n)).
178*n**2 - 3471*n - 3115
Let c(f) = f**2. Let x(u) = 1371988*u**2. Calculate x(c(m)).
1371988*m**4
Let h be (2/6)/(8/72). Let d(f) = -9 - 8 + 17 - h*f**2. Let k(r) = -r**2 + 0*r**2 - 2*r**2. Determine k(d(w)).
-27*w**4
Let g(c) = -c**2. Let b(p) be the third derivative of -125*p**4/12 + 23*p**2 + 6*p. What is g(b(w))?
-62500*w**2
Let q(t) = -376 - t + 376. Let j(m) = -33*m**2. What is j(q(f))?
-33*f**2
Let r(a) be the third derivative of -a**5/20 - 9*a**2 - 12*a. Let j(n) = 19*n. Determine j(r(s)).
-57*s**2
Suppose -3*p = 2*g + 2*p - 30, 0 = -2*g + 5*p - 10. Let h(z) = g*z + 0*z + 5*z - 9*z. Let u(n) = 6*n. Give h(u(x)).
6*x
Let y(s) = 11*s**2. Let v(z) = -90*z + 40. Let u(l) = 7*l - 3. Let w(j) = -40*u(j) - 3*v(j). Calculate y(w(n)).
1100*n**2
Let h(a) = -75*a**2. Let d(r) be the first derivative of r**3/3 - 96. Determine h(d(y)).
-75*y**4
Let a(z) = -58*z. Let f = -138 + 140. Let d(l) = -5 + 15*l**f - 13*l**2 + 5. What is a(d(h))?
-116*h**2
Let j(q) = -q. Let y(m) = 8*m - 4*m - 4*m - 244*m**2. Determine y(j(v)).
-244*v**2
Let h(w) = 25*w + 2. Let y(i) = 11*i + 1. Let p(v) = h(v) - 2*y(v). Let x(q) = -8*q. Calculate x(p(u)).
-24*u
Let f(n) = 5*n**2. Let g(t) = 3*t + 22*t - 12*t. Give g(f(y)).
65*y**2
Let r(z) = 10*z - 13. Let h(g) = -5*g + 6. Let s(d) = -13*h(d) - 6*r(d). Let o(f) be the third derivative of -f**4/12 - 97*f**2. What is o(s(c))?
-10*c
Let t(d) = -4*d**2 + 7*d**2 - 2*d**2. Let p(g) be the first derivative of 59*g**2/2 - 42. Calculate p(t(k)).
59*k**2
Suppose -4*v = -6*v + 12. Let i = -4 + v. Let h(p) = -i + 0*p + p + 2. Let c(k) = 9*k**2. What is c(h(o))?
9*o**2
Let b = -9 - -11. Let h(m) = -631 + 5*m**b + 631 - 3*m**2. Let x(u) = -11*u - 17. Let a(z) = -4*z - 6. Let o(d) = 17*a(d) - 6*x(d). Give h(o(t)).
8*t**2
Let d(p) = -p. Let q(w) be the second derivative of 0*w**3 - 1/12*w**4 - 32*w + 0 - 4*w**2. Calculate q(d(t)).
-t**2 - 8
Let g(m) = -2*m - 4. Let r(v) = -v**2 - 205*v. Calculate g(r(a)).
2*a**2 + 410*a - 4
Let t(b) = 36893*b. Let d(p) = 14*p**2. Determine d(t(z)).
19055308286*z**2
Suppose -3*z + 14 = 5. Let f(m) = m - z*m + 3*m. Let h(b) = -4*b**2 + 44*b**2 + 14*b**2 - 28*b**2. Determine f(h(d)).
26*d**2
Let z(h) = 2*h**2. Let b(g) = -815*g + 1662*g - 823*g. What is z(b(w))?
1152*w**2
Let m(s) = -6*s. Let h(a) = -6*a**2 - 9081. What is h(m(l))?
-216*l**2 - 9081
Let f(z) be the third derivative of -z**5/60 - 2056*z**2. Let s(b) = -9*b + 3. Let l(t) = -8*t + 3. Let h(k) = 5*l(k) - 4*s(k). Calculate h(f(m)).
4*m**2 + 3
Let o(u) = u - 251 + 251. Let f(q) = -q**2 + 5*q. Give o(f(l)).
-l**2 + 5*l
Let l(i) = -i. Let u(j) = 12*j**2 - 2433. Calculate u(l(n)).
12*n**2 - 2433
Suppose -15*o = -16*o + 10. Let z(a) = -15*a + 32*a - 15*a - o*a. Let j(c) = 3*c. Determine z(j(v)).
-24*v
Suppose 3*k = 3, 3 = 4*t + 3*k - 0. Suppose 5*x - 106 - 29 = 0. Let o(f) = 2*f - x*f**2 + t*f - 2*f. Let z(v) = 2*v. Determine z(o(i)).
-54*i**2
Let y(c) = 2*c**2. Let u(p) = -103*p - 9. Let w(o) = -102*o - 6. Let r(i) = -2*u(i) + 3*w(i). Give y(r(b)).
20000*b**2
Let o = 1316 + -1314. Let d(v) be the third derivative of 0*v**3 + 1/24*v**4 + 0*v + 5*v**o + 0. Let h(l) = 2*l**2. What is d(h(s))?
2*s**2
Let h(p) = -p**2 + 4. Let v(r) = 3*r**2 - 10. Let n(o) = -5*h(o) - 2*v(o). Let a(g) = -g**2 - 9. Give a(n(l)).
-l**4 - 9
Let r(v) = -3*v + 2. Let a be r(-2). Let q(w) = -w**3 + 9*w**2 - 8*w + 3. Let k be q(a). Let b(o) = 2*o + 3 - 5*o - k. Let s(g) = 6*g. Determine s(b(d)).
-18*d
Let j(n) be the first derivative of 23*n**2 - 85 - 2*n**2 - n + 115. Let r(k) = -2*k. Calculate j(r(l)).
-84*l - 1
Let l(g) be the second derivative of g**3/3 - g. Let z(a) be the third derivative of -4*a**4/3 - 20*a**2 - 8*a. Determine l(z(y)).
-64*y
Suppose u - 16 = -3*u. Let d(s) = -7*s + 5 - 5 + u*s. Let c(w) = -w**2 - 3*w. Let t(y) = 3*y**2 + 8*y. Let x(j) = -8*c(j) - 3*t(j). Determine d(x(n)).
3*n**2
Let s(x) = 5*x + 23*x - 1 + 6*x + 0. Let c(k) = -6*k. What is s(c(z))?
-204*z - 1
Let d(n) = -1652*n + 836*n + 823*n. Let q(s) be the first derivative of -s**4/24 - s**2/2 - 2. Let i(o) be the second derivative of q(o). Determine i(d(h)).
-7*h
Let q(y) = -2*y - 1. Let d(u) = -u**2 - 32*u - 4. Let j(k) = -d(k) + 4*q(k). Let i(r) = 6*r. Calculate i(j(c)).
6*c**2 + 144*c
Let h(v) = 19*v - 10. Let z(d) = 10*d - 6. Let u(n) = 3*h(n) - 5*z(n). Let t(x) = -3*x**2 + 5*x**2 + 0*x**2. Give u(t(a)).
14*a**2
Let y(n) = -3*n. Let m(c) = -32*c**2 - 28*c**2 + 96*c**2 - 3 - 32*c**2. What is y(m(x))?
-12*x**2 + 9
Let z(w) be the second derivative of -w**4/12 + w**3/3 - w**2 + 27*w. Let j(n) = 5*n**2 - 9*n + 9. Let t(y) = 4*j(y) + 18*z(y). Let g(s) = -5*s. Give t(g(b)).
50*b**2
Let u(z) = 100*z**2. Let m(i) = 586*i**2. Determine m(u(n)).
5860000*n**4
Let h(m) = -5*m. Let i(g) = 9498*g. Give h(i(j)).
-47490*j
Let r(j) = 215*j**2. Let z(h) = 9*h + 2. Let s(m) = -13*m - 3. Let b(w) = 2*s(w) + 3*z(w). Calculate b(r(i)).
215*i**2
Let b(p) = 6*p - 2*p - p - 1658 - p. Let m(f) = -2*f. Give m(b(q)).
-4*q + 3316
Let t(o) = -6*o**2. Let z(x) = 11367*x**2. What is t(z(w))?
-775252134*w**4
Let c(r) = r. Let t(p) = -80351*p**2. What is c(t(s))?
-80351*s**2
Let q(g) = -54*g + 1. Let o(c) = -20*c**2. Determine q(o(x)).
1080*x**2 + 1
Let k(u) = 654*u. Let l(m) = m**2 - 4. Give l(k(g)).
427716*g**2 - 4
Let h(u) = 190*u**2 - 574*u**2 + 190*u**2 + 189*u**2. Let j(r) = 6*r. Let l(f) = -3*f. Let v(b) = 6*j(b) + 13*l(b). Calculate h(v(q)).
-45*q**2
Let u(w) = 98*w**2 + 2*w. Let k(p) = -14*p. Give u(k(o)).
19208*o**2 - 28*o
Let t(l) = -2*l**2 - 237. Let y(h) = -5*h + 3. Let i(a) = -14*a + 8. Let r(m) = -3*i(m) + 8*y(m). Give r(t(u)).
-4*u**2 - 474
Let c(r) = -6*r**2. Suppose -2 = -v + 4*x, -3*v + 2*v = 2*x - 2. Let z(n) = 16*n**2 - 26*n**v + 13*n**2. Calculate c(z(y)).
-54*y**4
Let y(i) = -2*i**2. Suppose 738 = 2*j - 2*b, -3*b + 8*b - 20 = 0. Let w(n) = -13*n**2 - j*n + 373*n. Give w(y(r)).
-52*r**4
Let j(n) = -1 + 1 - 23*n. Let a(u) = -22*u - 300. Let z(t) = 9*t + 125. Let q(k) = -5*a(k) - 12*z(k). What is q(j(l))?
-46*l
Let p(u) = 1 - 2*u - 1. Let j(g) = 103*g**2 + 4*g + 16. Let l(y) = 206*y**2 + 9*y + 36. Let i(k) = -9*j(k) + 4*l(k). Calculate p(i(c)).
206*c**2
Let o = -4 + 6. Let a(i) = -1 + 0 + 7*i**o + 1. Let b(c) be the first derivative of c**2 - 121. Give b(a(k)).
14*k**2
Let c(z) be the third derivative of z**7/1260 - 5*z**4/8 + 21*z**2. Let b(w) b