*2
Let y(h) be the first derivative of 1818*h**2 + 6092. Let f(t) = -t. Give y(f(u)).
-3636*u
Let h = 348 - 346. Let s(r) = 145*r**2 - 66*r**2 - 80*r**h. Let f(y) = -14*y - 1. Give s(f(t)).
-196*t**2 - 28*t - 1
Let q(t) = t**2. Let r(v) be the first derivative of -185*v**4/12 + 87*v + 182. Let m(u) be the first derivative of r(u). What is m(q(p))?
-185*p**4
Let x(g) = 5507*g. Let l(z) = -5*z**2 - 87. Give l(x(j)).
-151635245*j**2 - 87
Let k(i) be the second derivative of -i**3/2 - 235*i**2 - 4*i - 52. Let r(t) = -t**2. Determine r(k(s)).
-9*s**2 - 2820*s - 220900
Suppose 0 = n - s - 98, -3*s = 2*n - 8*s - 184. Let q(t) = t + 102 - n. Let x(m) = -37*m. What is q(x(g))?
-37*g
Let s(u) = -77*u**2. Let q(w) = -3*w + 8. Let t be q(2). Let v(x) = -x + 6*x + t*x**2 - 5*x. Calculate s(v(p)).
-308*p**4
Let a(k) be the second derivative of -k**3/3 + 9*k. Let v(m) be the second derivative of 19*m**3/3 + 35*m. Give a(v(h)).
-76*h
Let v(d) = -3*d**2. Let y(n) = -100*n + 915. Let u(f) = -9*f + 83. Let s(r) = 45*u(r) - 4*y(r). What is s(v(c))?
15*c**2 + 75
Let x(g) = -8*g + 4. Let m be x(1). Let y be 10/m*24/(-30). Let v(c) = 3 - 3 - y*c**2 + 0*c**2. Let w(h) = -2*h + 8. Give v(w(u)).
-8*u**2 + 64*u - 128
Let a(m) = -2*m. Let f(w) = -w - 8. Let o(l) be the first derivative of 6*l - 3*l - 2*l + 24 + 3. Let p(i) = -3*f(i) - 24*o(i). What is p(a(q))?
-6*q
Let h(v) = -61*v + 332. Let w(r) = 19253*r**2. Determine h(w(j)).
-1174433*j**2 + 332
Let u(d) be the first derivative of 0*d - 1/3*d**3 + 0*d**2 - 24. Let h(m) = 13*m - 3. Let j(l) = -13*l + 4. Let o(f) = -4*h(f) - 3*j(f). What is o(u(v))?
13*v**2
Let k(n) = 2*n. Let v(m) = 671579*m + 2. Give k(v(q)).
1343158*q + 4
Let f(p) = -123*p. Let z(q) = -65708*q + 5. What is f(z(x))?
8082084*x - 615
Let m(h) = -29*h + 0 + 2 - 65*h + 89*h - 2. Let p(v) be the third derivative of v**4/6 - v**2. Give p(m(w)).
-20*w
Let f(k) = 115*k - 69410. Let v(y) = -y**2. What is f(v(n))?
-115*n**2 - 69410
Let t(q) = -1722*q**2. Let r(u) = 2114447*u - 2114447*u - u**2. Calculate r(t(f)).
-2965284*f**4
Let g(b) = 1993*b - 9229. Let t(d) = -2*d**2. Determine g(t(u)).
-3986*u**2 - 9229
Let x(c) = -39217*c. Let d(h) = 18896*h**2. What is d(x(b))?
29061539489744*b**2
Let c(o) = 6*o. Let k(s) = -2*s - 26. Let v be k(14). Let u = 58 + v. Let y(q) = 7*q. Let d(f) = u*y(f) - 5*c(f). Let r(w) = -5*w. Determine d(r(p)).
10*p
Let h(x) = -44712*x - 100 - 14 - x**2 + 44712*x. Let k(a) = -10*a**2. Determine h(k(y)).
-100*y**4 - 114
Let c(n) = -39*n + 1. Let p(g) = 14*g - 4. Let z(v) = -10*v + 3. Suppose 0 = q + 13 - 10. Let s(h) = q*p(h) - 4*z(h). Give s(c(u)).
78*u - 2
Let q(z) = z. Let r(u) = -48283 + 330*u + 48282 + 12*u. What is r(q(t))?
342*t - 1
Let c(f) = 2*f**2. Let h(x) be the second derivative of -125*x**4/4 + 9*x**2 - 5567*x. Give h(c(t)).
-1500*t**4 + 18
Let k = -19 + 49. Let f be ((-18)/k)/(1/(-5)). Let s(z) = 8*z - f*z**2 + z - 9*z. Let d(v) = 3*v**2. What is s(d(b))?
-27*b**4
Let r(j) = 85824*j**2. Let o(y) = 6*y. Give r(o(h)).
3089664*h**2
Let n(g) = 5*g**2. Let c(q) = 20*q + 6. Let z(m) = -61*m - 17. Suppose -4*u + 9 = y, 4*u + 16 + 9 = y. Let s(x) = y*c(x) + 6*z(x). Determine s(n(k)).
-130*k**2
Let a(i) = -475*i. Let b(r) be the third derivative of r**5/15 - 1202*r**2 - r. Calculate a(b(j)).
-1900*j**2
Suppose 2*u = 3 + 3, -5*w - 5 = -5*u. Let r(c) = 4*c + w*c + 0*c - 4*c. Let g(o) be the second derivative of -17*o**3/3 + 2*o. Determine r(g(t)).
-68*t
Let k = 49 - 32. Let p(n) = -11*n**2 + k*n**2 + 18*n**2. Let q(d) = 3*d**2. Determine q(p(z)).
1728*z**4
Let q(c) = c**2 + 76*c. Let r(a) be the first derivative of -a**3/3 + 716. What is q(r(k))?
k**4 - 76*k**2
Let f(y) = -47*y**2 + 64*y + 41. Let c(q) = 60*q. What is f(c(l))?
-169200*l**2 + 3840*l + 41
Let q(t) = -11*t. Let h(l) be the third derivative of -l**2 + 62*l + 0*l**3 - 1/24*l**4 + 0. Determine q(h(p)).
11*p
Let f(s) = 7324111*s. Let j(t) = 6*t. Give j(f(h)).
43944666*h
Suppose 5*s - 2*h - 233 - 145 = 0, 2*s - 128 = -5*h. Let a(t) = -24*t - 535 + s*t + 535. Let n(u) = -u. Give a(n(g)).
-50*g
Let v(i) = i + 3705. Let o(r) = -2*r - 3714. Let f(u) = 3*o(u) + 4*v(u). Let y(q) = 2*q**2. Calculate f(y(n)).
-4*n**2 + 3678
Let k(b) be the third derivative of 77*b**4/8 - 7*b**3/2 - 42*b**2. Let c(z) = 23*z - 2. Let s(p) = -21*c(p) + 2*k(p). Let n(w) = -4*w. Calculate s(n(f)).
84*f
Let i(v) = 29*v - 87. Let r(g) = -89*g + 275. Let h(n) = -19*i(n) - 6*r(n). Let c(q) = 2*q + 8*q - 12*q. Determine h(c(p)).
34*p + 3
Let p(w) = -63*w. Let f(s) = -8*s**2 + 8*s + 22. Let l(m) = -4*m - 11. Let h(b) = -f(b) - 2*l(b). Give p(h(o)).
-504*o**2
Let v(r) be the first derivative of r**4/24 - 243*r**2/2 - 47. Let i(h) be the second derivative of v(h). Let p(j) = 241*j**2. Calculate i(p(y)).
241*y**2
Let m(b) = b**2 + 113*b - 394. Let w(q) = 15*q**2. Give m(w(y)).
225*y**4 + 1695*y**2 - 394
Let i(b) be the first derivative of -43*b**3/6 - 131*b - 142. Let x(s) be the first derivative of i(s). Let w(q) = 3*q**2. What is x(w(m))?
-129*m**2
Let w(o) be the third derivative of o**5/15 + 37*o**4/12 - 1189*o**2. Let k(l) = -3*l. Determine k(w(t)).
-12*t**2 - 222*t
Let y(s) = -9535*s. Let n(o) = -63*o**2. Determine y(n(h)).
600705*h**2
Let q(w) = -43*w. Let s(k) be the first derivative of 0*k - 3/2*k**2 + 126. Determine q(s(n)).
129*n
Let r(c) = -2*c. Let t(k) = -2*k. Let n(i) = -12*i. Let y = 29 + -30. Let f(v) = y*n(v) + 4*t(v). What is f(r(o))?
-8*o
Let n(m) = -14*m**2 - 104. Let l(p) = -9*p**2 - 65. Let i(r) = -8*l(r) + 5*n(r). Let z(y) = 9951*y. What is i(z(d))?
198044802*d**2
Let j(c) = -2698*c - 213. Suppose 34*l - 4*l + 120 = 0. Let p(o) = 51*o + 4. Let r(v) = l*j(v) - 213*p(v). Let m(q) = -3*q**2. Determine r(m(z)).
213*z**2
Let k(c) = -14*c**2. Let g(l) = -122*l - 14*l - 273*l - 18*l + 10*l. Calculate k(g(h)).
-2434446*h**2
Let d(c) = -c. Suppose -12*v - 13*v = -15*v. Let h(a) be the third derivative of 1/60*a**5 + 0 + v*a**4 - 15*a**2 + 0*a + 0*a**3. Determine h(d(j)).
j**2
Let t(h) = 13*h + 16904. Let i(w) = -31*w. Calculate t(i(m)).
-403*m + 16904
Let z(j) be the first derivative of -17*j**2/2 + 13648. Let b(o) = -119*o - 2. Calculate b(z(i)).
2023*i - 2
Suppose -29 = -6*a - 5. Let c(v) = -2*v + 2*v - 2*v + 1 - a*v. Let h(x) = -2*x. Give c(h(g)).
12*g + 1
Let c = -210 - -212. Let h(n) = -47*n**2 - 57*n**2 + 132*n**c. Let o(u) = -3*u**2. What is h(o(d))?
252*d**4
Let p(l) = -1774*l**2 - 5. Let s(t) = -2496021*t**2 - 7036. Let a(k) = 7036*p(k) - 5*s(k). Let q(z) = 2*z. What is q(a(r))?
-3518*r**2
Suppose -58*x + 840 = -18*x. Let b(d) = -31 - x*d - 26 + 55. Let a(m) = 8*m. Calculate b(a(p)).
-168*p - 2
Let z(m) = 5*m. Let u(b) be the second derivative of 13*b**4/3 - 475*b. What is z(u(j))?
260*j**2
Let h(s) = -210150*s**2 - 2*s + s + 7*s + 210142*s**2. Let i(b) = 40*b. Calculate h(i(w)).
-12800*w**2 + 240*w
Let r(w) = -1026107*w**2. Let q(y) = -30*y**2. What is r(q(t))?
-923496300*t**4
Let j(d) = -87*d**2 - 1. Let x(q) = 40*q + 55. Let c(s) = 3*s + 4. Let v(l) = -55*c(l) + 4*x(l). Give v(j(y)).
435*y**2 + 5
Let n(p) = -p**2 + 6*p + 6. Let a(j) = 6*j**2 - 20*j - 20. Let f(x) = 3*a(x) + 10*n(x). Let i(l) = 17*l. Give i(f(r)).
136*r**2
Let k(t) = 5*t. Let s = -286 + 292. Let j(o) = -3 + 7 - s + 2 - 11*o. Calculate k(j(n)).
-55*n
Let f be 5*(-2)/(-50) - 38/(-10). Suppose f*d - d - u - 10 = 0, d - 3*u - 14 = 0. Let b(w) = -218*w + 2*w**2 + w**d + 218*w. Let a(t) = -t. Give b(a(h)).
3*h**2
Let w(l) = -2*l. Let i(a) = 21544748*a**2 + 3*a. Determine w(i(u)).
-43089496*u**2 - 6*u
Let z(y) = -y**2 - 5. Let t(q) = -q**2 - 9*q. Let p(f) = 45*f. Let a(w) = -3*p(w) - 15*t(w). Give z(a(m)).
-225*m**4 - 5
Let t(d) = -2882301*d**2. Let v(x) = 3*x + 19. Determine v(t(l)).
-8646903*l**2 + 19
Let p(z) = -6205*z - 8357*z + 9 - 9 + 12597*z. Let q(i) = i**2. Give p(q(r)).
-1965*r**2
Let u(q) = -3*q**2. Suppose -215 = -a - 2*l + 1325, 0 = 3*a - 5*l - 4675. Let y(g) = -46*g**2 - a + 1550. What is u(y(j))?
-6348*j**4
Let a(b) = -45*b**2 - 10. Let g(y) = -4*y**2 - 1. Let u(s) = -a(s) + 10*g(s). Let h(i) = 379*i. What is u(h(v))?
718205*v**2
Let b(o) = -4*o. Suppose -3*m + p - 1 + 12 = 0, 4*m + 7 = -3*p. Suppose 5*r - 30 = -5*y, -4*r = -m*y - 0*y. Let h(s) = -s**r - 47*s + 47*s. Determine h(b(i)).
-16*i**2
Let y(m) = -2