y(b))?
-507*b**2
Let a(o) = o. Let r(l) be the first derivative of -l**4/24 + 11*l**3/6 + l**2/2 + 14*l - 43. Let f(z) be the second derivative of r(z). Give f(a(b)).
-b + 11
Suppose 0 = 3*z - 5*i - 29, z = -z - i + 28. Suppose 115 = 5*a - 2*f - 3*f, -57 = -4*a - 3*f. Let y(h) = -z*h - a*h + 34*h. Let l(d) = 2*d**2. Give y(l(v)).
6*v**2
Let j(q) = q. Let p(t) = t**2 + 10*t - 22. Let n be p(-12). Let z(o) = -3 - 1 + 520*o - 520*o + 3*o**n. What is z(j(v))?
3*v**2 - 4
Let w(b) be the third derivative of b**4/24 - 8*b**2 + 4. Let g(q) be the second derivative of 35*q**3/6 - 3*q. Determine w(g(i)).
35*i
Let d(z) = 86*z - 1. Let q(s) be the first derivative of -s**3/3 + 8*s + 72. Let w(n) be the first derivative of q(n). Give w(d(f)).
-172*f + 2
Let b(p) = -2*p**2 + 153670. Let l(k) = 6*k. What is l(b(g))?
-12*g**2 + 922020
Let q(k) = 822*k**2. Let a(d) be the third derivative of -d**4/3 - 1641*d**2. What is q(a(s))?
52608*s**2
Let k(c) = -57304*c. Let x(h) = -5014*h. Give x(k(n)).
287322256*n
Let x(p) = 15*p. Let f(q) = -172*q - 60. Let u(s) = -1204*s - 400. Let y(g) = -20*f(g) + 3*u(g). What is y(x(b))?
-2580*b
Let i(d) = -2*d**2. Suppose 42*o - 230 = 148. Let w(j) = -o - 1577*j + 1573*j + 95. What is i(w(b))?
-32*b**2 + 1376*b - 14792
Let c(d) = -d**2 + 4*d. Let a(p) = 32*p**2 + 384*p. Let m(l) = -a(l) + 96*c(l). Let h(q) = 3*q. What is m(h(z))?
-1152*z**2
Let k(f) be the third derivative of f**6/360 - 12*f**3 - f**2 + 47*f. Let j(i) be the first derivative of k(i). Let q(l) = -45*l. Give j(q(m)).
2025*m**2
Let p(k) = -4*k - 492*k**2 + 945*k**2 - 465*k**2. Let l(n) = 7*n. Give l(p(j)).
-84*j**2 - 28*j
Let v(x) = 15*x**2 + 9*x**2 - 19*x**2. Let h(m) be the first derivative of -m**2 - 639. Calculate h(v(l)).
-10*l**2
Suppose -5*y + 53 = 3. Let c be ((-30)/y)/(1/(-2)). Let u(q) = -c*q**2 + 2*q**2 + 6*q**2. Let l(m) = 42*m**2. Give l(u(d)).
168*d**4
Let d(p) be the third derivative of p**7/40 - p**4/8 + 28*p**3/3 - 215*p**2. Let l(g) be the second derivative of d(g). Let n(c) = -4*c**2. What is l(n(a))?
1008*a**4
Let m(b) = -9*b**2 - 25. Let u(l) = 8*l + 376. Let i(r) = -2*r - 141. Let t(g) = 8*i(g) + 3*u(g). Calculate t(m(o)).
-72*o**2 - 200
Let c(j) = -196*j**2 + 400*j**2 - 201*j**2. Let l(r) = 339 - 4*r - 339. Give l(c(t)).
-12*t**2
Let j(n) = 9*n + 144. Let k(x) = 16*x + 240. Let o(u) = -5*j(u) + 3*k(u). Let i(w) = -61*w. What is o(i(s))?
-183*s
Let o(j) be the first derivative of -j**3 - 3*j + 1. Let k(z) = 313*z - 71 + 35 + 36 - 310*z. Calculate o(k(l)).
-27*l**2 - 3
Let p(b) = -749*b**2 - 126. Let v(h) = 250*h**2 + 36. Let z(u) = 2*p(u) + 7*v(u). Let y(c) = -2*c**2. Determine y(z(o)).
-127008*o**4
Let p(d) = 45*d. Let b(y) = 143297*y. Calculate b(p(a)).
6448365*a
Let j(n) = -11*n - 4. Let x(m) be the first derivative of m**2 - 77 - 121*m + 233*m - 112*m. Give x(j(i)).
-22*i - 8
Let l(z) be the second derivative of -z**4/6 + 20*z + 2. Let j(q) = 17 - 6 - 27 - 2*q. Calculate l(j(g)).
-8*g**2 - 128*g - 512
Let c(f) be the third derivative of 7*f**4/24 + 47*f**2. Let u(m) be the first derivative of -7*m**2/2 - 3. Calculate c(u(a)).
-49*a
Let i(u) = 33*u - 14. Let y(o) = -28*o + 12. Let x(z) = 6*i(z) + 7*y(z). Let l = -1 + 1. Let g(j) = 0 + l - 6*j**2. What is x(g(t))?
-12*t**2
Let d(q) = -3*q**2. Let l(x) = 323*x**2 - 29 - 654*x**2 + 332*x**2. Calculate l(d(j)).
9*j**4 - 29
Let d(m) = -5024799*m**2. Let o(a) = 144*a. Determine o(d(h)).
-723571056*h**2
Let y(g) be the first derivative of -g**3 + 22. Let w(j) = 181*j**2. Give y(w(s)).
-98283*s**4
Let m(c) = -177572*c. Let f(x) = 79*x**2 + 20*x. What is f(m(r))?
2491013399536*r**2 - 3551440*r
Let h(a) = -15*a - 2. Let m(z) = -302*z + 181. Calculate m(h(p)).
4530*p + 785
Let a(l) = 40*l**2 - 16*l + 16. Let v(g) = -13*g**2 + 1 - g + 21*g**2 - 2*g + 2. Let i(s) = 3*a(s) - 16*v(s). Let x(h) = 10*h. Give x(i(p)).
-80*p**2
Let x(a) = 1269129 - 1269129 + 61*a. Let i(z) = 9*z**2. Give x(i(g)).
549*g**2
Let r(k) = -7*k. Let o(y) = -12069*y - 464. Determine o(r(p)).
84483*p - 464
Let t(q) = 3*q**2 + 18*q + 3. Let z(h) = -298*h + 11 + 593*h - 296*h - 11. Determine t(z(g)).
3*g**2 - 18*g + 3
Suppose h + c - 210 = 3*c, 2*h + 5*c = 429. Let k(q) be the first derivative of 104*q**2 + 108*q**2 + 4*q**3 - h*q**2 - 15. Let o(z) = z. What is k(o(u))?
12*u**2
Let r(g) = 31*g. Let a(f) = -2*f**2 + 6466*f - 71. Give a(r(c)).
-1922*c**2 + 200446*c - 71
Let s(p) be the second derivative of -p**3/2 - p. Let k(z) = -80012276 - 80012277 + 160024555 + 19*z. What is s(k(q))?
-57*q - 6
Let y(w) = 2*w. Let v(h) = 30176026*h. Give v(y(g)).
60352052*g
Let s(t) = 50*t**3 - 5*t**2 + t + 8. Let a be s(2). Let b(z) = a*z**2 - 189*z**2 - 200*z**2 + 55. Let i(n) = -n. Give i(b(o)).
-o**2 - 55
Let h(f) = 4*f**2. Let u(j) = 50*j - 38. Let c(n) = 162*n - 116. Let l(v) = 5*c(v) - 16*u(v). What is l(h(r))?
40*r**2 + 28
Let t(s) = 164*s**2 - 6. Let u = 254 - 253. Let w(b) = -b**2 + 1. Let x(l) = u*t(l) + 6*w(l). Let z(q) = q**2. What is x(z(g))?
158*g**4
Let s(b) = 415275*b. Let t(d) = 2*d**2 + 18*d. What is s(t(r))?
830550*r**2 + 7474950*r
Let z(d) = d. Let l be 42/30 - (2 - 65/25). Let v(o) = -5*o + l*o + 4*o - 9*o. Calculate v(z(n)).
-8*n
Let j(l) = -2*l**2. Let n(s) = s**2 - 3*s + 1360819. Calculate n(j(z)).
4*z**4 + 6*z**2 + 1360819
Let c(z) = 7*z - 99. Let g(a) = 4685*a - 7. Determine c(g(r)).
32795*r - 148
Let v(a) = -6*a + 2*a + 7*a + 0*a + 2*a. Let n(l) = l - 6. Let c(t) = 10*t - 65. Let p(r) = -6*c(r) + 65*n(r). Give p(v(k)).
25*k
Let x(b) = 476*b**2 + 51*b. Let i(m) = 19*m**2 + 2*m. Let y(q) = 51*i(q) - 2*x(q). Let n(a) be the first derivative of -14*a**3/3 - 157700. Calculate y(n(r)).
3332*r**4
Let b(x) = -2405*x. Let s(p) = -3316*p. Calculate s(b(q)).
7974980*q
Let o(j) = j. Let u(r) be the first derivative of -3*r**2 + 1192*r - 1153. Give o(u(d)).
-6*d + 1192
Let j(g) = -22*g**2 - 534392 + 4*g**2 + 534392. Let p(l) = -6*l. Calculate p(j(n)).
108*n**2
Let s(w) be the first derivative of 26*w**3/3 + 932. Let u(o) be the first derivative of 4*o**3/3 - 2. What is u(s(a))?
2704*a**4
Let d(a) = 10*a**2. Suppose -4*c - 4*g = -40, 7*c = 8*c - 4*g + 10. Let p(o) = -c*o + 4 - 4 + 3*o. Give d(p(m)).
90*m**2
Let j(h) = -10*h. Let u(n) = n**2 + 2*n - 2. Let m(r) = 31*r**2 - 12*r + 12. Let o(t) = m(t) + 6*u(t). Calculate o(j(y)).
3700*y**2
Let f(q) = q**3 + 6*q**2 + 4*q - 2. Let a be f(-5). Let u(d) = -3*d - a*d + 3*d - 4*d. Let s(o) = -o - 88 - 63 + 151. Give u(s(z)).
7*z
Let k(r) = -1315 + 378*r - 375*r + 658 + 659. Let l(i) = 3*i - 5. Let b(g) = 20*g - 32. Let n(u) = -5*b(u) + 32*l(u). Determine k(n(a)).
-12*a + 2
Let u(o) = -2*o**2. Let p(x) = 71334132*x. What is p(u(z))?
-142668264*z**2
Let c = 341 + -338. Let n(d) = d + 11. Let v(w) = w + 10. Let s(b) = c*n(b) - 2*v(b). Let p(q) = 6*q**2. What is s(p(k))?
6*k**2 + 13
Let f(n) be the first derivative of -85*n**4/24 - 36*n**2 + 62. Let t(x) be the second derivative of f(x). Let u(o) = -o. Calculate t(u(h)).
85*h
Let r(f) = -227*f + 319. Let l(h) = -222*h. Determine r(l(p)).
50394*p + 319
Let q = 69 + -67. Let y(a) = 33*a**2 + 36*a**q - 70*a**2. Let i(v) = 28*v. What is y(i(l))?
-784*l**2
Let i(r) = 21231*r + 1456. Let g(q) = -447*q - 31. Let m(k) = 95*g(k) + 2*i(k). Let y(o) be the second derivative of o**4/6 + o. Determine m(y(l)).
-6*l**2 - 33
Let m(f) = -21088*f**2. Let w(x) = 8*x**2 - 5*x. Calculate w(m(t)).
3557629952*t**4 + 105440*t**2
Let n(z) = 2668 + 6*z**2 - 2668. Let y(u) = 2*u**2 - 95*u. Calculate y(n(v)).
72*v**4 - 570*v**2
Let q(l) = -2*l - 66. Let t(z) be the third derivative of -25*z**4/6 + 2*z**2 - 978*z. Determine t(q(k)).
200*k + 6600
Let j(i) = -213*i + 2556. Let m be j(12). Let w(l) be the second derivative of m + 0*l**2 + 17/6*l**3 - 21*l. Let o(a) = -2*a**2. Determine o(w(p)).
-578*p**2
Let w(h) = -15 + 2 + h**2 - 2*h**2 + 4*h**2. Suppose 0 = -24*o + 11*o + 767. Let c(q) = o*q**2 - 122*q**2 + 64*q**2. What is c(w(g))?
9*g**4 - 78*g**2 + 169
Let i(q) = 5*q**2. Let d(t) = 527*t**2 - 436*t**2 - 142*t**2. What is d(i(j))?
-1275*j**4
Let j(g) = -3308*g. Let h(s) = -427*s - 457*s + 882*s. Determine j(h(d)).
6616*d
Let b(o) = 3*o + 3. Let j(l) = 198001*l. What is j(b(a))?
594003*a + 594003
Let i(x) = -34*x**2 + 5*x**2 - 14*x**2 - 51*x**2. Let k(j) be the second derivat