Calculate l(w(d)).
6*d
Let j(d) be the second derivative of -529*d**3/3 - 1269*d. Let p(t) = t. Determine j(p(q)).
-1058*q
Let c(m) = -6*m**2 + 8*m**2 + 2360*m - 2479*m. Let u(k) = -49*k**2. What is c(u(h))?
4802*h**4 + 5831*h**2
Let d(m) be the first derivative of m**4/24 + m**2 + 1. Let s(h) be the second derivative of d(h). Let t(w) = -4*w**2 + 10*w**2 - 24*w**2. Give s(t(f)).
-18*f**2
Let l(i) = 54*i. Let s(k) be the third derivative of -11*k**4/24 + 11*k**2 - 118*k - 1. Determine s(l(v)).
-594*v
Let t(h) = -42*h - 3. Let b(j) = -38*j - 2. Let x(s) = -s**3 + s**2 - 9*s - 2. Let f be x(0). Let o(m) = f*t(m) + 3*b(m). Let i(k) = 4*k**2. Determine o(i(d)).
-120*d**2
Let l(m) = -15*m. Let k(r) = -34*r + 18 - 15 + 29*r. Calculate k(l(x)).
75*x + 3
Let a(f) = 12*f**2. Let l(j) = -j + 405*j**2 - 48*j + 49*j - 152*j**2. Give l(a(x)).
36432*x**4
Let w(d) = -4*d. Let g(a) = -1390728*a. What is w(g(q))?
5562912*q
Let c(i) be the third derivative of i**4/8 + 4*i**2 + 3*i + 678. Let w(z) = 3*z**2 - 2*z**2 + 5*z**2. Calculate c(w(t)).
18*t**2
Let b(v) = 62*v**2 + 53*v - 1. Let g(m) = -1097*m**2. What is b(g(p))?
74611358*p**4 - 58141*p**2 - 1
Let d(c) = -9 - 308*c**2 + 9 + 565*c**2 + 317*c**2. Let h(j) = 3*j. Calculate h(d(g)).
1722*g**2
Let p(f) be the second derivative of -f**3/3 + 1061*f. Let x(r) = 1. Let c(w) = 2*w + 48. Let n(o) = c(o) - 2*x(o). Give p(n(t)).
-4*t - 92
Let r(p) = 1377*p. Let g(l) = -218*l**2 - 220*l**2 - 220*l**2 + 661*l**2. Give r(g(t)).
4131*t**2
Let p(v) be the third derivative of 7*v**4/6 - 373*v**2 - 4*v. Let q(x) = -197*x**2. Calculate q(p(y)).
-154448*y**2
Let p(a) = -a. Let s(i) = 311 + 718*i**2 - 50*i**2 - 311. Calculate s(p(k)).
668*k**2
Let t(h) = -110*h**2. Let r(b) = -541792 + 10*b + 541792. Calculate r(t(n)).
-1100*n**2
Let h(g) = 3*g - g - 3*g. Let n(a) be the second derivative of -13*a**5/30 + 25*a**2/2 + 83*a. Let r(t) be the first derivative of n(t). Give h(r(y)).
26*y**2
Let x(c) be the first derivative of -34 + 3/2*c**2 + 0*c. Let q(v) be the third derivative of -7*v**4/12 - v**2. Determine q(x(z)).
-42*z
Let g(u) = 4*u**2. Let n(p) be the first derivative of 29*p**6/360 - 214*p**3/3 - 186. Let y(v) be the third derivative of n(v). What is g(y(r))?
3364*r**4
Let t(k) = 3*k. Let m(s) = 1267209*s**2. Determine t(m(r)).
3801627*r**2
Let g(f) = -15*f. Let d(x) be the first derivative of 1/3*x**3 - 50 + 0*x + 0*x**2. Calculate d(g(a)).
225*a**2
Let s(b) = -b + 4. Let y(f) = -6*f + 27. Let z(c) = -27*s(c) + 4*y(c). Let p(i) = -9*i**2 - 118. Let q(t) = -t**2 - 19. Let j(v) = -p(v) + 6*q(v). Give j(z(d)).
27*d**2 + 4
Let m(p) = 32117*p**2. Let y(n) = 11*n. Calculate m(y(a)).
3886157*a**2
Let t(y) = -525*y**2 + 2. Let s(o) = 8*o**2 + 6*o**2 + 1871*o - 1871*o - 16*o**2. Determine s(t(m)).
-551250*m**4 + 4200*m**2 - 8
Let v(l) = 80*l**2 + 26*l**2 - 61 - 67 + 128. Let f(n) = 3*n. Calculate f(v(k)).
318*k**2
Let d(k) = -2*k. Let b(q) be the second derivative of -11*q**5/60 - 36*q**2 - 184*q. Let m(c) be the first derivative of b(c). Calculate m(d(l)).
-44*l**2
Let g(k) = 144049981*k. Let v(f) = 2*f. What is v(g(c))?
288099962*c
Let r(t) = -7*t. Let i(v) = -3561896*v**2. Determine r(i(m)).
24933272*m**2
Let k(t) be the third derivative of -t**4/24 - 15*t**2. Let v(y) = -11*y - 24. Let o(f) = -5*f - 8. Let u(c) = 11*o(c) - 4*v(c). Calculate u(k(p)).
11*p + 8
Let f(d) = 8*d**2. Let z(k) = -4826124*k**2. Give f(z(j)).
186331782907008*j**4
Let y(m) = 1124513*m + 2. Let w(h) = -2*h. Calculate w(y(u)).
-2249026*u - 4
Let z(q) = -8*q. Let j(l) = 44*l + 68. Let x(c) = -4*c - 6. Let a = -225 + 219. Let s(d) = a*j(d) - 68*x(d). What is z(s(m))?
-64*m
Let d(g) be the first derivative of g**2 - 10. Let i(v) = 18*v. Let o(f) = -24*d(f) + 4*i(f). Let q(x) = 3*x**2 + 0*x**2 - 3*x**2 + 2*x**2. Calculate q(o(p)).
1152*p**2
Let v(t) = -3*t. Let r(j) = -189*j**2 - 10854. Give v(r(d)).
567*d**2 + 32562
Suppose -4*z + 9 = -a, 15*z = -2*a + 12*z + 37. Let d(h) = 3*h + h - 5*h - a*h. Let p(m) = -3*m**2. Calculate d(p(f)).
36*f**2
Let w(v) = 23517*v + 304. Let l(i) = 2*i. Determine w(l(a)).
47034*a + 304
Let m(j) = -1 + 0*j - j + 2*j. Let r(l) be the third derivative of 5*l**4/24 + 5*l**3/3 - 62*l**2. Let g(i) = -10*m(i) - r(i). Let k(f) = -2*f**2. Give k(g(c)).
-450*c**2
Let o(m) = -m + 138. Let n(w) = 5*w - 738. Let d(q) = 6*n(q) + 29*o(q). Let x(v) = -7*v**2. Give d(x(f)).
-7*f**2 - 426
Let z(x) = 2*x**2. Suppose 0 = -96*y - 56*y. Let v(s) be the second derivative of -34*s + y*s**2 - 35/6*s**3 + 0. Calculate v(z(l)).
-70*l**2
Let s = -45 + 47. Suppose 0 = -0*r - s*r. Let d(a) = 2*a**2 + r*a + 4*a - 4*a. Let c(h) = -22*h**2. Calculate c(d(j)).
-88*j**4
Let y(v) = 183*v - 3855. Let a(f) = -550*f + 10794. Let q(l) = 5*a(l) + 14*y(l). Let u(g) = -2*g + 5*g - 2*g. Give q(u(m)).
-188*m
Let q be ((-8)/(-44))/((-7)/(-77)). Let y(w) = 2*w + q*w - w - 6*w. Let r(f) = -58*f. Calculate y(r(b)).
174*b
Let r(s) = -349*s. Let p(a) = 4*a - 8. Let k(g) = -3*g + 4. Let l(i) = -4*k(i) - 2*p(i). Give r(l(x)).
-1396*x
Let q(p) = -1 + 6 + 131*p**2 - 138*p**2 + 13 - 3. Let j(z) = 4*z. Determine q(j(s)).
-112*s**2 + 15
Let f(k) = -6*k. Let t = 27 - 24. Suppose -4*y - 5*z + t = -15, y = -z + 4. Let s(q) = y*q - 20 + 20 + 0*q. Determine s(f(g)).
-12*g
Let p(g) = -2*g**2. Let w be (16/(-56))/((-1)/35). Suppose 0*c = -c - 4, 0 = 2*v + 4*c + w. Let f(s) = -2 + 2 + 5*s - v*s. What is f(p(t))?
-4*t**2
Let i(s) = -78*s - 26*s + 20*s - 2 - 32*s + 1. Let z(x) = -10*x. Calculate i(z(m)).
1160*m - 1
Let d(v) be the first derivative of -v**3 - v - 2504. Let r(u) = u**2. Let w(o) = -8*o**2. Let y(i) = 6*r(i) + w(i). Give y(d(a)).
-18*a**4 - 12*a**2 - 2
Let v(u) = -3355*u**2. Let d(j) = 744*j + 743*j + 744*j - 2232*j. Determine d(v(x)).
3355*x**2
Let o(x) = -4*x - 6. Let t be -3 - (-2 + -8*3). Let y = -22 + t. Let r(q) = -q + 1. Let u(m) = y*o(m) + 6*r(m). Let p(n) = -n**2. Calculate p(u(k)).
-100*k**2
Let l(q) = -2*q**2 + 91. Let z(c) = 4*c. Let v(f) = 3*f. Let t(w) = w**3 - 13*w**2 - 3*w + 45. Let y be t(13). Let b(r) = y*v(r) - 4*z(r). Determine b(l(s)).
-4*s**2 + 182
Let q(l) = -2*l**2. Let w(t) be the first derivative of 13*t**4/3 + 31*t**2/2 + 37. Let s(c) be the second derivative of w(c). What is q(s(d))?
-21632*d**2
Let y(r) be the first derivative of -9*r**2/2 + 748. Let n(i) = 484*i. Calculate n(y(d)).
-4356*d
Suppose -20*w + 17*w = 3. Let k(n) = 41*n. Let z(y) = -2*y. Let m(x) = w*k(x) + 3*z(x). Let h(a) = 3*a. Calculate m(h(r)).
-141*r
Let u(q) = -24*q + 2. Let h(x) = -83*x + 7. Let l(c) = 2*h(c) - 7*u(c). Let m(j) be the second derivative of 2*j**3 - j**2 + 24*j. What is m(l(t))?
24*t - 2
Let r(i) be the first derivative of -155*i**2/2 + 4344. Let b(o) = 12*o. What is r(b(v))?
-1860*v
Let t(k) = -k. Let w(y) = 2 - 119*y + 120*y - 1 + 5. Let d(o) = o + 3. Let p(h) = -7*d(h) + 4*w(h). Calculate p(t(i)).
3*i + 3
Let i(l) be the second derivative of l**3/6 - 17*l + 25. Let z(k) = -k**3 + 3*k**2 + 3. Let w be z(3). Let p(m) = -2*m + w*m + 0*m. What is p(i(q))?
q
Let c(v) = -v + 4. Let w(r) = r**2 + 1. Let b be (1/(-1))/(2/(-6)). Let n(z) = -13*z + 3 + 8*z + 3*z + 2*z + 5*z**2. Let s(m) = b*w(m) - n(m). What is s(c(f))?
-2*f**2 + 16*f - 32
Let b(m) = 3*m**2 - 1. Let a(w) = 2*w + 2. Let d(q) = -1. Let f be -5*(1/(-10) + (-12)/(-24)). Let x(l) = f*d(l) - a(l). What is b(x(o))?
12*o**2 - 1
Let s(l) = -357*l**2. Let d(y) = 109592*y. Calculate s(d(h)).
-4287715107648*h**2
Let n(a) = 3*a**2 + 90575*a. Let u(y) = 16*y. Calculate n(u(s)).
768*s**2 + 1449200*s
Let w(s) = -102*s + 11. Let v(n) = 8*n - 11. What is v(w(z))?
-816*z + 77
Let v(b) = 32 - 36*b**2 - 44958*b + 34*b**2 + 44960*b. Let w(x) = x. What is w(v(u))?
-2*u**2 + 2*u + 32
Let y(b) = 48*b**2. Let h(p) = -4*p - 1. Let x(j) = -100*j - 24. Let s(c) = 24*h(c) - x(c). Calculate y(s(f)).
768*f**2
Let q(b) = b - 2. Let o(d) = -1. Let l(k) = -2*o(k) + q(k). Let n(j) = -15*j + 120. Let r(f) = 2*f + 8. Let c(i) = -2*n(i) + 30*r(i). Determine l(c(u)).
90*u
Let c(b) be the third derivative of b**4/12 + 6*b**2 - 3388. Let v(n) = 0 + 0 - 4*n**2. Determine v(c(o)).
-16*o**2
Let k = -3961 - -8825. Let q(u) = 4864 - k - 6*u. Let s(h) = 10*h. What is q(s(o))?
-60*o
Let l(j) be the third derivative of j**6/45 + 7*j**3/3 + 42*j**2 + 1. L