rd derivative of -18*i**2 + 1/24*i**4 + 0*i + 0 + 1/3*i**3. Let q(n) = 3*d(n) - 5*h(n). What is s(q(m))?
-18*m**2 - 12*m - 2
Let g(l) = -20*l. Let y(n) be the second derivative of 47*n**3/6 + 338*n. Determine y(g(u)).
-940*u
Let r(o) = o**2. Let m(t) = -69*t**2 - 12*t + 6. Suppose 27 + 105 = 22*y. Let w(c) = -70*c**2 - 14*c + 7. Let f(g) = y*w(g) - 7*m(g). Determine f(r(s)).
63*s**4
Let i(p) be the second derivative of -p**3/2 - 3017*p. Let f(b) = -677*b. What is f(i(y))?
2031*y
Let r(c) be the third derivative of -13*c**4/24 - 197*c**3/6 + 2*c**2 - 4. Let t(b) = 16*b + 197. Let o(u) = 6*r(u) + 5*t(u). Let v(i) = -i**2. What is o(v(w))?
-2*w**2 - 197
Let q(o) = -o**2 - 3*o. Let v(z) = -3*z**2 + 4*z. Let h(c) = 13*c**2 - 18*c. Let p(f) = 11*f + 79. Let r be p(-7). Let a(i) = r*h(i) + 9*v(i). Give a(q(x)).
-x**4 - 6*x**3 - 9*x**2
Let z(x) = 3*x**2 + 11*x - 16. Let a be z(-5). Let l(i) = 33 - a*i + 5*i - 33. Let m(d) = 75*d. What is l(m(j))?
75*j
Let l(f) = -10*f. Suppose -2*r = 3*v - 23, -5*v + 0*r - 4*r + 37 = 0. Suppose -12*x - 24*x = 12 - 84. Let n(j) = 6*j**2 - v*j**2 + 4*j**x. Give n(l(o)).
100*o**2
Let r(u) be the first derivative of -2*u**2 + 349. Let f(h) = h + 304. Determine r(f(i)).
-4*i - 1216
Let i(b) = -16*b. Suppose -n - 21 - 40 = -5*c, -n + 23 = 2*c. Let k(d) = -5*d - d - 3*d + c*d. What is k(i(z))?
-48*z
Let k(z) = -3*z + 0*z - 3*z. Let n(y) be the third derivative of y**5/5 + 8*y**2 + 235*y. Give k(n(o)).
-72*o**2
Let l = 151 + -149. Let f(d) = -d - 97 + d + 3*d**l + 81. Let u(w) = 2*w. Give f(u(c)).
12*c**2 - 16
Let h(u) = u. Suppose 1662 = 2*r + 2*s, -5*r + 3619 = -5*s - 506. Let g be r + (7 - 6)/((-2)/2). Let v(x) = -827 + g - 22*x**2. Give v(h(t)).
-22*t**2
Let n(i) = -6*i**2 - 3. Let g(a) = -11*a + 3. Let t(w) = 14*w - 4. Let k(q) = 4*g(q) + 3*t(q). Determine k(n(o)).
12*o**2 + 6
Let b(k) = 36*k**2 - 2. Let w(x) = -3*x**2 - 4. Let r be -3 - (7 - 7) - 1. Let i(a) = 5*a**2 + 7. Let h(q) = r*i(q) - 7*w(q). Give b(h(f)).
36*f**4 - 2
Let f(b) = -2*b**2. Let k(n) be the first derivative of -n**3/6 + 4*n**2 + 5*n + 55. Let i(l) be the first derivative of k(l). What is f(i(d))?
-2*d**2 + 32*d - 128
Let o(t) = 1169904110*t**2. Let m(s) = -s. Calculate m(o(n)).
-1169904110*n**2
Let n(h) = -86*h**2 - 1063*h - 1064*h + 95*h**2 + 2127*h. Let c(y) = 128*y**2. What is n(c(w))?
147456*w**4
Let t = 118 - 112. Let v(y) = 1. Let a(n) = n + 2. Let p(z) = t*v(z) - 3*a(z). Let w(i) = -i - 8. What is w(p(r))?
3*r - 8
Let x = -270 + 285. Let z(t) = 2*t**2 + t - 1. Let u(o) = 33*o**2 + 15*o - 15. Let v(h) = x*z(h) - u(h). Let q(w) = -7*w + 7 - 2 - 5. Determine v(q(m)).
-147*m**2
Let b(l) = -151*l - 304. Let f(i) = 3*i**2. What is b(f(k))?
-453*k**2 - 304
Let k(y) be the second derivative of -3/2*y**2 - 4/3*y**3 + 4*y - 5. Let b(p) = -2*p**2. Calculate b(k(v)).
-128*v**2 - 96*v - 18
Let g(p) = -p**2 - 558525*p. Let i(u) = -264*u. What is g(i(b))?
-69696*b**2 + 147450600*b
Let q(l) = -19*l. Let v(k) = -44*k**2 + 3*k - 10542. What is v(q(s))?
-15884*s**2 - 57*s - 10542
Let m(q) = -1. Let b(y) = -3*y - 17. Let j(u) = -b(u) + 6*m(u). Suppose 17*i - 34 = 34. Let w(c) = -3 - c + i - 4 + 3. Calculate w(j(r)).
-3*r - 11
Let f(w) be the second derivative of -w**4/6 - 5843*w. Let b(x) = -8 + 15 - 7 - 227*x**2. Determine f(b(s)).
-103058*s**4
Let w(r) = 634*r + 1. Let t(f) = 51 - 25 - 26 - 9*f**2 + 8*f**2. What is w(t(q))?
-634*q**2 + 1
Let k(w) = -10574*w. Let q(u) = -11*u + 54. Let r(c) = 5*c - 24. Let f(g) = -4*q(g) - 9*r(g). Give k(f(n)).
10574*n
Let n be (-1 - -16) + (-1 - (-1 + 3)). Let k(w) = -w**2 + 12*w + 1. Let b be k(n). Let c(d) = -1 + b - 2*d**2 + 3*d**2. Let m(v) = -4*v**2. Calculate m(c(u)).
-4*u**4
Let m(c) = 810*c**2. Let u(l) = -36*l - 1575. Let f(o) = -2*o - 75. Let g(h) = 63*f(h) - 3*u(h). Calculate m(g(p)).
262440*p**2
Let t(y) = 16*y**2 + 291*y**2 + 45*y**2. Let d(s) = -3*s. What is d(t(i))?
-1056*i**2
Let g(o) = -o**2. Let c(u) be the third derivative of 0 + 0*u**3 - 6*u**2 - 43/24*u**4 - u. Determine g(c(t)).
-1849*t**2
Let v(o) = 2*o**2. Let c(s) be the first derivative of -2*s**2 - s + 251. Let z(i) = 293*i + 7. Let k(f) = 14*c(f) + 2*z(f). Determine v(k(y)).
561800*y**2
Let u(q) = 21*q. Let p(t) = 18046 - 36137 + 18060 - 2*t**2. Give u(p(i)).
-42*i**2 - 651
Let u(y) = 17112817*y. Let b(w) = -2*w. What is b(u(f))?
-34225634*f
Let i(r) be the second derivative of r**4/8 + 129*r**2/2 + 124*r. Let p(x) be the first derivative of i(x). Let f(d) = 18*d**2. Give f(p(w)).
162*w**2
Let p(l) = 111*l**2 - 3 + 3. Let z(o) = -160*o + 77*o + 82*o. Determine p(z(i)).
111*i**2
Let d(k) = 2*k. Let z(p) = -2. Suppose 3*x = 8*x - 10. Let y(h) be the second derivative of -2*h**3 + 28*h**2 - 25*h. Let o(i) = x*y(i) + 56*z(i). Give d(o(m)).
-48*m
Let s(n) = -126*n**2 + 25*n + 10. Let y(i) = 19*i**2 - 5*i - 2. Let r(g) = s(g) + 5*y(g). Let q(j) = 302*j**2. Determine r(q(a)).
-2827324*a**4
Suppose 0 = -3*w - 29 + 35. Let d(v) be the first derivative of 0*v + 0*v - 72*v**w + 117*v**2 - 14. Let y(o) = -2*o. Give d(y(k)).
-180*k
Let v(l) = 15*l. Let a(r) = -175*r**2 - 18*r + 2. Let s(t) = -170274*t**2 - 17523*t + 1947. Let y(c) = 1947*a(c) - 2*s(c). Determine v(y(g)).
-2655*g**2
Let c(w) be the first derivative of -5*w**3/3 - 283. Let a(i) be the first derivative of -37*i**2/2 + 15. Give a(c(g)).
185*g**2
Let n(v) = 10*v**2. Let c(m) be the second derivative of 46*m**3/3 - 1155*m. Determine n(c(g)).
84640*g**2
Let h(y) be the second derivative of 0*y**2 + 0*y**3 - y + 4 - 1/12*y**4. Let r(i) = 4*i**2 + 1. What is h(r(u))?
-16*u**4 - 8*u**2 - 1
Suppose 0 = -c - 6 + 10. Suppose -c*r = -17 - 35. Let i(m) = r*m + 3*m + 8*m - 14*m. Let n(w) = -w**2. Determine i(n(d)).
-10*d**2
Let y(z) = -58 + 58 - 11*z**2 - 6*z + 6*z. Let j(s) be the third derivative of s**5/20 + 14*s**2. Give j(y(m)).
363*m**4
Let s(h) = 19573*h. Let g(m) = 234*m. Calculate s(g(y)).
4580082*y
Let r(z) = 28*z**2 - 2*z. Let w(v) = -70*v + 8. Let g(u) = 26*u - 3. Let x(j) = -8*g(j) - 3*w(j). Give x(r(n)).
56*n**2 - 4*n
Let d(f) = 19*f. Let c(w) be the second derivative of w**5/120 - w**3 + 14*w. Let s(x) be the second derivative of c(x). Determine d(s(y)).
19*y
Let v(p) = 195728*p. Let m(z) = -2419*z**2. Calculate m(v(x)).
-92670559511296*x**2
Suppose z = 4*z. Let q(n) = z*n - 4*n + 2*n. Let l(r) be the first derivative of -r**2 - 7066. What is l(q(s))?
4*s
Let k(i) be the second derivative of -i**4/6 + 21083*i. Let n(s) be the second derivative of 27*s**3/2 - 2*s. What is k(n(j))?
-13122*j**2
Let u(s) = -13*s**2 + 188654. Let k(g) = g**2. Determine u(k(y)).
-13*y**4 + 188654
Let o(q) be the third derivative of q**5/60 - 197*q**3/6 + 8*q**2 - q - 186. Let d(h) = 4*h**2 - 4*h**2 + 4*h**2 - 5*h**2. Calculate d(o(t)).
-t**4 + 394*t**2 - 38809
Let z(x) = -x**2. Let s = -153 + 155. Let n(p) = -19*p**s + 20*p - 20*p - 14*p**2. Determine n(z(u)).
-33*u**4
Let s(w) be the third derivative of w**4/12 - w**2. Let o(g) = 93 - 128 - 89*g**2 + 91*g**2. What is s(o(c))?
4*c**2 - 70
Let m(v) = -5540150*v + 34536. Let s(g) = 2887*g - 18. Let y(a) = 3*m(a) + 5756*s(a). Let w(p) = 2*p**2. Calculate y(w(r)).
-5756*r**2
Let i(t) be the first derivative of -83*t**3/3 + 34. Let y(a) be the second derivative of -a**3/6 + 32*a. Calculate i(y(c)).
-83*c**2
Let a(g) = 77187*g - 77187*g - 109*g**2. Let t(m) = -5*m**2. Calculate t(a(x)).
-59405*x**4
Suppose 6*b = -4*n + 10*b + 1804, b = 2*n - 899. Let a(q) = -64 - n*q**2 + 453*q**2 + 64. Let l(c) = 40*c. What is l(a(p))?
200*p**2
Let m(l) = 136*l - 539. Let g(b) = 2*b + 86. What is g(m(t))?
272*t - 992
Let c(d) be the third derivative of 0 + 0*d**4 - 1/20*d**5 + 27*d**2 + 0*d + 0*d**3. Let k(j) = 9 + 0*j - 3*j - 9. Calculate k(c(a)).
9*a**2
Let z(t) = -175*t**2 + 90*t - 45. Let a(p) = 8*p**2 - 4*p + 2. Let s(i) = 45*a(i) + 2*z(i). Let n(l) = -456*l. Calculate n(s(h)).
-4560*h**2
Let v(n) = -12440986*n - 2. Let o(w) = -4*w**2. Determine v(o(g)).
49763944*g**2 - 2
Let g(k) = -3*k**2 - 4*k + 8. Let t(d) = -2*d**2 - 3*d + 6. Let z be (8/(-6))/((-8)/24). Let c(q) = z*t(q) - 3*g(q). Let n(l) = -3*l**2 - 10. What is c(n(i))?
9*i**4 + 60*i**2 + 100
Let h(x) = -16*x**2. Suppose -3 + 33 = -6*m. Let c = 208 + -202. Let s(y) = 7*y - 5. Let k(f) = 8*f - 6. Let g(a) = c*s(a) + m*k(a). 