 4
Let g(i) be the second derivative of -i**4/4 - 1230*i. Let b(h) = 3*h**2 - 2*h - 2. Let o(d) = -d**2 - d - 1. Let k(a) = -2*b(a) + 4*o(a). What is k(g(w))?
-90*w**4
Let k(h) = -h. Let f(v) = -1420*v**2 - 76. Determine k(f(i)).
1420*i**2 + 76
Let l(q) = -q - 1. Suppose 0*j - 36 = 4*j. Let r = -6 - j. Let o(t) = 3*t**2 + 2*t + 2. Let y(a) = r*o(a) + 6*l(a). Let g(s) = -2*s**2. What is y(g(w))?
36*w**4
Let y(d) = 69*d**2. Let s(c) = 5 + 129*c - 5 - 263*c + 130*c. Determine y(s(x)).
1104*x**2
Let m(g) = -475962*g - g**2 + 475962*g. Let k(i) = -87*i + 2. Determine m(k(s)).
-7569*s**2 + 348*s - 4
Suppose -6 + 78 = 8*i. Let m(g) = -g**2 + i*g**2 - 7*g**2. Let r(n) = -4*n**2. Give r(m(b)).
-4*b**4
Let y(r) = 622*r. Let u(q) = -1193*q. Give u(y(s)).
-742046*s
Let k(f) = 3*f. Let t(w) be the third derivative of -w**4/24 + 5*w**3/3 - 4*w**2. Let z be t(8). Let h(d) = -z*d + 4*d + 2*d. Calculate h(k(i)).
12*i
Let y(f) = 9*f. Let m(b) be the third derivative of b**7/1260 - 11*b**4/24 + 13*b**2. Let i(h) be the second derivative of m(h). What is i(y(d))?
162*d**2
Let y(o) = -13*o**2. Let k(q) = -7*q + 5. What is k(y(l))?
91*l**2 + 5
Let x(h) = -h. Suppose -2*v - f = 4, 5*v - f - 4 = -0*f. Suppose 6 = -v*g + 2*g. Let a(c) = -2*c**2 + 0*c**2 + 4*c**2 + g*c**2. Give a(x(l)).
5*l**2
Let v(w) = w. Let n(h) be the third derivative of h**5/20 - 3*h**2. Let y(q) = q**2. Let j = -6 - -1. Let i(s) = j*y(s) + n(s). What is i(v(r))?
-2*r**2
Let g(t) = 0 + 0 + 3*t. Let x(n) = 168*n**2 - 86*n**2 - 2 + 2 - 57*n**2. Calculate g(x(i)).
75*i**2
Let y(p) = -26*p. Let u(v) be the second derivative of -v**5/30 - 7*v**2 + 8*v. Let b(i) be the first derivative of u(i). What is b(y(o))?
-1352*o**2
Let x(c) = -c - 1. Let l(y) = -4*y - 3. Let s(k) = -2*l(k) + 6*x(k). Let p = 7 + -3. Let h(r) = -5*r**2 + 5*r**2 + p*r**2. Give s(h(j)).
8*j**2
Let j(p) be the first derivative of 2*p**3/3 + 341. Let h(z) be the second derivative of -5/6*z**3 + 0 - 2*z + 0*z**2. Give h(j(r)).
-10*r**2
Let h(j) = 17*j + 13. Let k(t) = 4*t + 3. Let g(i) = 6*h(i) - 26*k(i). Let o(x) = 3*x + 37. Calculate o(g(z)).
-6*z + 37
Let a(n) = -2*n. Let h(k) = 946*k + 172. Let o(l) = -45*l - 8. Let r(p) = -6*h(p) - 129*o(p). Determine a(r(z)).
-258*z
Let o(d) = -36*d**2. Let h(q) = 7*q**2 + 440*q - 1. Calculate h(o(x)).
9072*x**4 - 15840*x**2 - 1
Let q(p) = p + 1. Let z(s) = -1. Let v(t) = -4*t + 25. Let g(d) = 3*d - 17. Let r(f) = 7*g(f) + 5*v(f). Let m(u) = -r(u) - 6*z(u). Give q(m(x)).
-x + 1
Let x(i) be the third derivative of -i**8/5040 + i**5/60 - i**2. Let b(s) be the third derivative of x(s). Let f(w) = 7*w**2. What is f(b(l))?
112*l**4
Let v(w) = 2*w**2. Let t(g) be the first derivative of 0*g**2 + 0*g - 26/3*g**3 - 10. Determine v(t(q)).
1352*q**4
Let i(z) = 14*z. Suppose -35 + 29 = -3*q. Let r(f) = 7*f**2 + f**2 + 8*f**2 - 13*f**q. Determine i(r(x)).
42*x**2
Let w(z) be the third derivative of -19*z**5/60 - 2*z**2 + 188. Let p(v) be the first derivative of v**2 + 2. Give p(w(q)).
-38*q**2
Let c(m) = -5*m. Let v be (-22)/(-33) - (-2 - -2). Let u(t) be the first derivative of -5 + v*t**3 + 0*t**2 + 0*t. What is c(u(z))?
-10*z**2
Let w(q) = -4*q**2. Let k = -83 + 85. Let i(a) = 2*a**2 + 6*a**2 + a**k - a**2. Determine w(i(z)).
-256*z**4
Let b(d) = 369515*d**2. Let j(s) = -s. Calculate b(j(z)).
369515*z**2
Suppose -3*d + 4*m + 14 = 0, d = m + 2*m + 8. Let x(j) be the second derivative of 0*j**d + 0 - 3*j - 4/3*j**3. Let i(q) = q**2. Determine i(x(a)).
64*a**2
Let q(j) = -4*j + 5. Let x(i) = -5*i + 6. Let k(b) = -6*q(b) + 5*x(b). Let h be (-1 - -4)/(-3)*-3. Let f(a) = -h*a - a + 12*a. Give k(f(d)).
-8*d
Let k be (-5)/15 - (-7)/3. Let o(z) = 2*z**2 - 3*z. Let j be o(k). Let r(x) = -5*x**2 + 8*x - 8*x + 3*x**j. Let h(a) = 3*a. Determine h(r(w)).
-6*w**2
Let y(v) = 50*v + 32*v + 8*v. Let d(f) = 7*f - 100. Let i(p) = 11*p - 160. Let a(w) = 8*d(w) - 5*i(w). Calculate a(y(h)).
90*h
Let y(x) be the first derivative of -5*x**2 - 2317. Let t(n) = -3*n**2 + 0*n**2 + 0*n**2. What is y(t(i))?
30*i**2
Let s(d) be the first derivative of d**6/120 - 2*d**4/3 + 10*d**3/3 - 23. Let y(a) be the third derivative of s(a). Let i(c) = 2*c. Calculate y(i(r)).
12*r**2 - 16
Let f(p) = -15*p + 28*p - 16*p. Let t(d) = 461*d**2 + 1. What is t(f(r))?
4149*r**2 + 1
Let c(y) = 92079*y**2. Let d(z) = -2*z**2. Calculate d(c(n)).
-16957084482*n**4
Let c(r) = 193*r - 50. Let p(q) = 12*q**2. Give c(p(u)).
2316*u**2 - 50
Let u(k) = -4*k. Let o(w) = w - 2*w**2 - 2*w**2 + 3*w**2 + 2*w. Let j(n) = 2*n**2 - 4*n. Let q = -4 - -1. Let m(z) = q*j(z) - 4*o(z). What is m(u(p))?
-32*p**2
Let u(r) = -29*r. Let p = 77 - 72. Let m(f) = -5*f - 6. Let y(z) = -4*z - 5. Let n(t) = p*m(t) - 6*y(t). Calculate u(n(v)).
29*v
Let l(b) = 21*b. Let h(d) = 12*d. Let q(f) = 5*f. Let r(y) = 2*h(y) - 5*q(y). What is r(l(o))?
-21*o
Let v(u) = u**2. Let a(r) be the third derivative of -5*r**4/24 - r**3 - r**2 + 19*r. What is a(v(d))?
-5*d**2 - 6
Let i(d) = -8*d. Let z(q) = -3534*q. Determine i(z(c)).
28272*c
Let s(r) = 459*r - 340. Let w(f) = 20*f - 15. Let k(g) = -3*s(g) + 68*w(g). Let u(a) = 14*a. Determine k(u(b)).
-238*b
Let w(k) = -2*k**2. Let v(s) = -67252*s**2. Give v(w(b)).
-269008*b**4
Let t(x) = -13*x + 1060. Let v(w) = -2*w**2. Calculate t(v(c)).
26*c**2 + 1060
Let t(q) = -45817*q**2. Let p(n) = 3*n**2. Determine t(p(z)).
-412353*z**4
Let s(l) = -140*l**2. Let h(o) = -o. Let r(j) = -j. Let c(f) = -6*h(f) + 5*r(f). Give s(c(u)).
-140*u**2
Let b(y) = -2*y**2. Let w = -8 + 10. Suppose 3*j = w*a + 7 + 18, 25 = -5*a. Let v(q) = -7 - 2*q + 2 + j. Calculate v(b(t)).
4*t**2
Let c(q) = -1097*q + 592*q + 505*q - 2*q**2. Let l(i) = 1 - i - 1. Determine l(c(w)).
2*w**2
Let k(z) = -3*z. Let s(x) = 34127*x**2. What is k(s(y))?
-102381*y**2
Let o(j) = 97*j + 126*j + 28*j - 26*j. Let w(r) = 2*r**2. Calculate o(w(x)).
450*x**2
Let d(c) = -2*c. Let y(j) = -156*j - 16. What is d(y(m))?
312*m + 32
Let m(t) = -190660*t. Let g(z) = z**2. Give g(m(k)).
36351235600*k**2
Let s(f) = f**2 + 183*f - 183*f. Let d(t) = 1 + 15*t + 1 - 2. Give s(d(p)).
225*p**2
Let p(i) be the first derivative of 9*i**2/2 + 4*i + 695. Let r(q) = -22*q. Give r(p(h)).
-198*h - 88
Let y(r) = -r. Let l(w) = 5*w - 10 + w + 9. Determine y(l(q)).
-6*q + 1
Let x(n) = -2*n + 1. Let o(k) = 23*k - 6. Let m(v) = 67*v - 17. Let c(b) = 6*m(b) - 17*o(b). Calculate x(c(y)).
-22*y + 1
Let i(h) = h. Let p(q) = -4045745*q**2. What is p(i(t))?
-4045745*t**2
Let u(d) = -2*d**2. Let h(k) = -159201*k. What is h(u(r))?
318402*r**2
Let v(i) = -117*i - 305. Let o(k) = k**2. Calculate o(v(r)).
13689*r**2 + 71370*r + 93025
Let y(q) = -610*q. Let m(h) = 69*h. Give m(y(n)).
-42090*n
Let v(x) = -x. Let k(c) = -403*c + 16. Let s(q) = -q + 8. Let m(n) = k(n) - 2*s(n). Give m(v(h)).
401*h
Let o = 9 + -4. Let i(m) = -27*m - o*m**2 + 27*m. Let h(k) = 2*k + 3. Let g(c) = -3*c - 5. Let n(x) = 3*g(x) + 5*h(x). Calculate i(n(q)).
-5*q**2
Let q(x) = 6*x**2. Let b be -4 + 3 + (-1 - -4). Let p(z) = -869*z + 869*z - 3*z**b. Calculate q(p(m)).
54*m**4
Let m(j) = -4*j - 910. Let y(l) = -l. Determine m(y(b)).
4*b - 910
Let a(t) be the first derivative of -4 + 1/2*t**2 + 0*t. Let n(w) = -1 + 1 + 0 + 3*w. What is a(n(b))?
3*b
Let j(v) = 7*v**2. Let t(c) = 754*c - 2. Determine j(t(q)).
3979612*q**2 - 21112*q + 28
Let o(q) = 29*q**2. Let p(y) = -13*y**2. Let d(l) = 80*l**2. Let w(j) = 4*d(j) + 25*p(j). What is o(w(g))?
725*g**4
Let k(x) be the second derivative of -3*x**3/2 + 470*x. Let w(j) = -6*j**2. Calculate k(w(a)).
54*a**2
Let l(h) be the first derivative of 1 + 0*h + 2/3*h**3 + 0*h**2. Let k(c) = 1833999 - 1833999 - 10*c. What is l(k(r))?
200*r**2
Let v(b) be the first derivative of -3*b**2/2 - 73. Let y(i) = -4*i - 7. Let h(f) = -f - 2. Let q(c) = -7*h(c) + 2*y(c). Give q(v(a)).
3*a
Let t(x) = -49*x**2 + 4. Let g(q) = 415*q**2. Calculate t(g(u)).
-8439025*u**4 + 4
Let y(w) = -142*w + 56*w + 12*w**2 + 86*w - 2 + 1. Let m(x) = 3*x**2. Give y(m(z)).
108*z**4 - 1
Let g(q) be the first derivative of q**3/3 + 1. Let z(x) be the second derivative of x**3/6 - 35*x. Determine z(g(r)).
r**2
Let o(w) = -2*w. Let i = -19 + 29. Let t(g) = 10 - i - 34*g. Calculate t(o(s)).
68*s
Let y(t) = -7*t - 5. Let x(h) = -4*h - 3. Let k(b) = 10*x(b) - 6*y(b). Let q(n) = n**