- 1/2*l**4 + 0*l**3 + 2*l + 0*l**2. Let u(n) = -7*n**2. Determine u(z(x)).
-252*x**4
Let v(x) be the third derivative of x**4/24 + 2*x**2 - 312. Let m(k) = 1206*k. What is m(v(c))?
1206*c
Let y(n) = 13*n**2 + 3*n. Let o(t) = -68*t**2 - 16*t. Let d be (-432)/360*((-74)/6 - 1). Let u(p) = d*y(p) + 3*o(p). Let b(q) = -21*q. Give u(b(v)).
1764*v**2
Let u(k) = 151*k. Let x(j) = 193601 + 6*j - 193601. Determine u(x(v)).
906*v
Let t(m) = 32*m**2. Let o(q) = 252271*q**2. Calculate o(t(c)).
258325504*c**4
Let j(x) = -712*x. Let r(m) = -56996*m - 1. Give r(j(y)).
40581152*y - 1
Let d = 175 + -160. Let s(t) = d*t - 9*t - 3*t - 2*t. Let m(c) = 174*c - 2. What is m(s(o))?
174*o - 2
Let y(i) = -31*i**2. Let u(h) = -7511*h**2 - 231*h + 77. Let b(s) = -777*s**2 - 24*s + 8. Let g(n) = -77*b(n) + 8*u(n). What is g(y(p))?
-248899*p**4
Let h(c) = -8*c**2. Let g(u) be the third derivative of u**7/5040 - u**5/20 + 3*u**4/8 - 95*u**2. Let z(f) be the third derivative of g(f). Calculate z(h(v)).
-8*v**2
Let m(l) be the third derivative of -l**4/12 - l**2. Suppose 2 + 14 = 4*w. Let o(f) = 78*f**2 + 7*f**2 - w + 1 + 3. Give m(o(j)).
-170*j**2
Let t(u) = 6*u + 8*u - u - 17*u + 7*u. Let x(k) be the second derivative of 3*k**4/2 - 8*k. Calculate t(x(p)).
54*p**2
Let k(j) = 3467*j**2. Let l(v) = 6606*v. Give l(k(r)).
22903002*r**2
Let g(d) = -1635*d**2. Let i(o) = 10489*o**2. Calculate i(g(x)).
28039457025*x**4
Let p(y) = -26*y**2 + 248*y - 34. Let s(a) = 9*a**2 - 86*a + 12. Let r(w) = -6*p(w) - 17*s(w). Let g(q) = 4*q**2. Calculate g(r(u)).
36*u**4 - 624*u**3 + 2704*u**2
Let g(s) = 5*s**2. Let h(q) = 5*q - 18. Let b be h(4). Let l(w) = 12*w**b - 8*w**2 - 5*w**2. Let r(n) = 3*n**2. Let d(y) = 6*l(y) + r(y). What is d(g(u))?
-75*u**4
Let q(c) = 164*c. Let w be (-1)/1*((4 - 1) + -6). Let b(a) = 8*a + 3*a + w*a - 12*a. Determine b(q(p)).
328*p
Let d(o) = -2*o + 4904. Let c(m) = -144*m**2 - m. Determine d(c(h)).
288*h**2 + 2*h + 4904
Let n(f) be the second derivative of -f**4/2 - 129*f - 5. Let y(k) be the third derivative of 1/12*k**4 + 0 + 0*k + 0*k**3 - 5*k**2. Determine n(y(j)).
-24*j**2
Let x(w) be the second derivative of 5*w**4/12 + 5*w. Let r(o) be the second derivative of 1/6*o**3 + 36 + 0*o**2 + o. What is x(r(s))?
5*s**2
Let j(b) = b**2 - 21. Let q(h) = h + 8. Let w(r) = -2*r + 8. Let i(f) = -2*q(f) + 2*w(f). Calculate i(j(v)).
-6*v**2 + 126
Let k(r) = -4*r. Let p(d) = -d + 4. Let q(z) = -z. Let s(m) = -p(m) + 4*q(m). Let o be s(-2). Let w(h) = -o*h - 7*h + 18*h - 11*h. What is k(w(v))?
8*v
Let f(r) = r**2. Let q(j) = -10*j**2 + 7. Suppose i = 2*i + 5, -i + 30 = -5*m. Let v(c) = -19*c**2 + 11. Let t(n) = m*q(n) + 4*v(n). What is t(f(b))?
-6*b**4 - 5
Let i(y) be the third derivative of -69*y**5/20 + 9810*y**2. Let f(x) = 46*x**2. Determine f(i(q)).
1971054*q**4
Let u(l) = -2*l**2 + 692. Let q(v) = 907*v. Calculate u(q(g)).
-1645298*g**2 + 692
Let w(y) = -140417860*y. Let u(o) = -2*o**2. Calculate w(u(g)).
280835720*g**2
Let l(p) = -p**2. Let w(n) = -1566*n**2 - 36227 - 6533*n**2 + 36227. What is l(w(z))?
-65593801*z**4
Let a(c) = -118*c**2 + 14*c - 64. Let d(x) = 76*x**2 - 9*x + 42. Let w(l) = -9*a(l) - 14*d(l). Let u(y) = 62*y. Give w(u(q)).
-7688*q**2 - 12
Let z(h) = 284*h + 5. Let x(b) = 1005*b - 173. Determine x(z(s)).
285420*s + 4852
Let p(n) = -2*n - 33. Let h(g) = -520 - 514 + 7*g + 1030. Calculate p(h(q)).
-14*q - 25
Let t(n) = -75*n + 4. Let k(v) = 248*v - 13. Let z(u) = 4*k(u) + 13*t(u). Let r(m) = 13*m. What is r(z(f))?
221*f
Let i(v) = 4*v**2. Let a(x) be the second derivative of 427*x**4/12 + 3*x + 70. Calculate a(i(n)).
6832*n**4
Let x(d) = -26*d**2 - 30. Let v(z) = -6*z**2 - 8. Let a(b) = 15*v(b) - 4*x(b). Let g(w) = -3*w**2 - 4*w**2 - w**2 + 12*w**2. Calculate g(a(r)).
784*r**4
Let k(w) = 3*w. Let x(t) = -33464 + 66933 - 2730*t - 33469. Give k(x(h)).
-8190*h
Let h(s) = -29977*s**2 - 29968*s**2 + 59947*s**2. Let t(r) = -28 + 28 - 424*r**2. Give t(h(b)).
-1696*b**4
Let w(u) = 17*u - 1. Let l(o) = 10549*o. What is l(w(a))?
179333*a - 10549
Let b = 491 - 499. Let k(z) = -2*z**2 - 5*z - 10. Let y(s) = -3*s**2 - 8*s - 16. Let d(w) = b*k(w) + 5*y(w). Let g(v) = 3*v + 27. What is d(g(u))?
9*u**2 + 162*u + 729
Let q(w) = -1380*w. Let a(z) = 120*z**2 - 4*z - 1. Give q(a(g)).
-165600*g**2 + 5520*g + 1380
Let z(w) = 4*w. Suppose 447 + 381 = 12*s. Let j(h) = -s*h - 70*h + 140*h. Give j(z(o)).
4*o
Let m(v) be the second derivative of 5*v**4/12 - 148*v. Let h(n) = 329*n**2 - 35. Let c(x) = 55*x**2 - 6. Let j(f) = -35*c(f) + 6*h(f). Give j(m(p)).
1225*p**4
Let l(h) be the second derivative of h**4/12 - 3*h - 122. Let x(m) = -385*m**2. What is l(x(w))?
148225*w**4
Let w(p) = -9636910*p. Let n(f) = -6*f. Calculate n(w(b)).
57821460*b
Let j(r) = -13*r + 389. Let u(l) = -3*l + 92. Let w(o) = 2*j(o) - 9*u(o). Let y(a) = a**2 + 8. Determine w(y(d)).
d**2 - 42
Let m(s) = 4*s. Let v(y) = -13342398*y. Give v(m(c)).
-53369592*c
Let s(v) = -103*v**2 - 116*v**2 - 107*v**2 + 328*v**2. Let c(h) be the first derivative of -5*h**3/3 - 2. Calculate c(s(x)).
-20*x**4
Let q(k) be the third derivative of -k**5/15 + 7*k**3/6 - 114*k**2 - 2*k. Let d(v) = -12*v + 5. Let w(a) = -2*a + 1. Let o(i) = d(i) - 5*w(i). What is q(o(l))?
-16*l**2 + 7
Let c(i) = -10*i**2. Let o(j) be the third derivative of j**8/6720 - 3*j**5/10 + j**3/2 - 29*j**2 + 2. Let a(v) be the third derivative of o(v). Give c(a(w)).
-90*w**4
Let r(d) = 107*d. Let f(s) = -356*s. Let c(z) = 3*f(z) + 10*r(z). Let m(p) = 4*p**2 + 2*p - 224. Calculate m(c(j)).
16*j**2 + 4*j - 224
Let f(w) = 130*w. Let y(q) be the third derivative of q**8/10080 - 13*q**5/30 + 257*q**2. Let l(d) be the third derivative of y(d). Determine f(l(a)).
260*a**2
Let d(v) = -8*v + 19684. Let b(p) = -4*p. What is b(d(j))?
32*j - 78736
Let d(z) = -36*z**2 + 1275. Let h(s) = -s + 129. Determine d(h(q)).
-36*q**2 + 9288*q - 597801
Let z(a) = 22*a**2 + 1. Let n(l) be the first derivative of -l**4/12 + 35*l**2 - 40. Let y(g) be the second derivative of n(g). Calculate y(z(h)).
-44*h**2 - 2
Let u(c) = 24*c. Let k(f) = 5 - 35 + 30 - 21*f. Let x(v) = 25*v. Let j(n) = 5*k(n) + 4*x(n). What is j(u(t))?
-120*t
Let h(g) = 2*g. Let m(d) = 6*d + 9. Let u be m(0). Let l(o) = u - 15 - 107*o + 6. Determine h(l(r)).
-214*r
Let b(m) = -811*m. Let l(s) be the second derivative of -s**4/4 + 1153*s + 1. What is l(b(k))?
-1973163*k**2
Let r(l) be the third derivative of -13*l**4/24 + l**2. Let y(w) = -378*w + 99. Let b(v) = -23*v + 6. Let k(i) = 33*b(i) - 2*y(i). Give k(r(d)).
39*d
Let a(o) = -23*o + 13*o + 12*o. Let s(b) = -26*b - 1. Let n(l) = -362*l - 14. Let x(i) = 3*n(i) - 42*s(i). Calculate x(a(w)).
12*w
Let h(c) = 15*c**2. Suppose 0 = 110*o - 116*o. Let v(a) be the first derivative of -19 + 0*a + 1/3*a**3 + o*a**2. Calculate v(h(f)).
225*f**4
Let f(m) = -1093*m**2 + 73*m. Let g(w) = 374*w**2. What is f(g(a))?
-152884468*a**4 + 27302*a**2
Let p(k) = 12*k**2 + 4*k. Let y(s) = 4*s - 2152. Determine p(y(g)).
192*g**2 - 206576*g + 55564640
Let d(l) = 5*l + 3. Let m(s) = -9*s - 4. Suppose -a + 3*p + 6 = 0, 27*a + 2*p = 31*a + 6. Let j(h) = a*m(h) - 4*d(h). Let u(k) = 42*k**2 - 2. Calculate u(j(r)).
2058*r**2 - 2
Let r(u) = 365*u**2. Let l(v) = -48*v - 17. Let k(m) = 17*m + 6. Let f(a) = 17*k(a) + 6*l(a). What is r(f(p))?
365*p**2
Let z(w) = 7*w**2 + 3*w - 3*w. Let b(a) be the first derivative of -2/3*a**3 + 0*a + 0*a**2 - 59. Give z(b(s)).
28*s**4
Let k(l) = -564*l. Let v(g) = 190*g. Let d(m) = -3*k(m) - 8*v(m). Let b(w) = -4*w**2. Give b(d(q)).
-118336*q**2
Suppose -14*s - 12 = -4*w - 18*s, -3*s + 5 = 2*w. Let p(r) be the third derivative of 0*r**3 + 0*r + 11/24*r**w - 13*r**2 + 0. Let m(x) = -2*x. What is p(m(o))?
-22*o
Let t(s) = -s - 33. Suppose -6*d + 15*d = 18. Let x(o) = -1861*o - 2*o**d + 1861*o. Determine x(t(b)).
-2*b**2 - 132*b - 2178
Let k(s) = -15 - 15 + 30 - 3*s + s. Let c(p) = -1052*p. Calculate c(k(m)).
2104*m
Let o(r) = -104*r - 1. Let j(y) = 143*y - 49*y - 94*y - 11*y**2 - 4*y**2. What is o(j(n))?
1560*n**2 - 1
Let p(a) be the first derivative of a**4/3 + 312*a + 227. Let u(q) be the first derivative of p(q). Let h(c) = -13*c**2 - 2. What is h(u(g))?
-208*g**4 - 2
Let i(f) = -f - 5*f + 4*f. Let k(l) be the second derivative of -1/3*l**3 + 0 + 6*l + 0*l**2.