- 4. Let p(b) = -2*b**k + 0*b**2 + 13*b**2. Let m(a) = 2*a - 16. Let g(w) = -6*w + 44. Let c(y) = -4*g(y) - 11*m(y). Calculate c(p(h)).
22*h**2
Let c(n) = 34*n. Let v(o) be the first derivative of 0*o + 4/3*o**3 + 98 + 0*o**2. Calculate c(v(g)).
136*g**2
Let n(o) = -o + 4. Let j(g) = -7*g - 6. Let c(z) = -6*z - 5. Let l = 207 - 201. Let t(s) = l*c(s) - 5*j(s). Determine n(t(x)).
x + 4
Let a(i) = 618*i**2. Let c(r) = 17*r + 80. Let f(z) = 4*z + 20. Let k(d) = c(d) - 4*f(d). Give a(k(m)).
618*m**2
Let v(f) = -2*f - 12*f**2 + 2*f - 13877401 + 13877401. Let g(i) = -10*i**2 + 1. What is v(g(d))?
-1200*d**4 + 240*d**2 - 12
Let v(d) = -4*d. Let a(g) = 55*g + 7*g + 54*g. Calculate v(a(h)).
-464*h
Let q(g) = 2*g + 14075. Let n(a) = 4*a**2. What is q(n(c))?
8*c**2 + 14075
Let i(f) = -29072*f - 11613. Let q(w) = -158*w - 63. Let m(c) = 3*i(c) - 553*q(c). Let x(v) = -2*v. What is x(m(b))?
-316*b
Let y(m) = m. Let i(k) = 113422713*k**2. Calculate i(y(o)).
113422713*o**2
Let l(x) be the first derivative of -40*x**3/3 - 12. Let y = -62 + 69. Let j(h) = -11 - 6*h**2 + y*h**2 + 11. Give j(l(c)).
1600*c**4
Let d(z) = -144*z - 42. Let b(g) = -21*g - 3358*g**2 + 42*g + 3356*g**2 - 21*g. Determine b(d(r)).
-41472*r**2 - 24192*r - 3528
Let p(t) be the first derivative of -t**5/60 - 142*t**3/3 + 86. Let f(s) be the third derivative of p(s). Let d(u) = -9*u**2 - 3*u. Determine d(f(w)).
-36*w**2 + 6*w
Let t(y) = 8*y + 1. Let x(u) be the first derivative of -u**2 - 49*u - 382. What is t(x(a))?
-16*a - 391
Let i(b) = 3*b. Let g(n) = 4142879*n. Determine i(g(p)).
12428637*p
Let n(b) be the first derivative of -365*b**3/3 - 507. Let y(o) = -8*o. Calculate n(y(g)).
-23360*g**2
Let m(r) be the first derivative of -11*r**3/3 + 195*r + 62. Let w(x) be the first derivative of m(x). Let g(k) = -2*k. What is w(g(o))?
44*o
Let f(u) = 1103353*u**2. Let n(a) = a. What is f(n(o))?
1103353*o**2
Let u(h) = -h**2 + 3. Let q(i) = i**2 - 4. Let a(v) = 3*q(v) + 4*u(v). Let o(s) be the second derivative of 2*s**4 + 22*s - 280. What is o(a(f))?
24*f**4
Let o(m) = 2*m**2 + 82. Let c(x) = -4*x**2 + 21*x - 7. Let v(f) = f**2 - 6*f + 2. Let i(k) = 2*c(k) + 7*v(k). Determine i(o(y)).
-4*y**4 - 328*y**2 - 6724
Let u(a) = -333*a**2 + 37*a. Let k(v) = -37*v**2 + 4*v. Let y(p) = 37*k(p) - 4*u(p). Let i(h) be the first derivative of 5*h**2/2 - 10021. What is i(y(c))?
-185*c**2
Let g(u) = -694*u**2. Let b(j) be the first derivative of -6*j**2 + 1318. Determine b(g(p)).
8328*p**2
Let o(r) = 9*r. Let u(v) = 2750*v + 837. Determine o(u(f)).
24750*f + 7533
Let x(p) = 2*p. Let m(w) = 157370272*w. Determine x(m(z)).
314740544*z
Let f(a) be the third derivative of -a**6/180 - 25*a**3/3 + 2*a**2 + 15. Let p(u) be the first derivative of f(u). Let t(k) = -11*k - 3. What is p(t(n))?
-242*n**2 - 132*n - 18
Let c(j) = -j - 2*j - 28*j**2 + 3*j. Let y(m) = -3*m**2 - 2*m. Let a(g) = 4*g**2 + 3*g. Let o(z) = -2*a(z) - 3*y(z). Give c(o(w)).
-28*w**4
Let n(k) be the third derivative of 53*k**5/12 + 3*k**2 + 718*k - 1. Let f(m) = 9*m. What is f(n(p))?
2385*p**2
Let k(q) be the first derivative of -q**2/2 - 2119. Let m(f) = -233*f. Calculate k(m(y)).
233*y
Let b(f) = 85*f - 31. Let m(s) = 76*s - 31. Let y(z) = -8*b(z) + 9*m(z). Let u(a) = -9*a**2. What is u(y(c))?
-144*c**2 + 2232*c - 8649
Let j(r) = -14*r**2. Let p(n) be the third derivative of -n**7/1680 - n**5/60 - n**4/8 + 22*n**2. Let g(s) be the third derivative of p(s). Give g(j(c)).
42*c**2
Let q(p) = -2*p. Let j(x) = -41*x + 1. Let m(s) = j(s) - 2*q(s). Let h(i) = 16*i. Give m(h(l)).
-592*l + 1
Let t(h) be the first derivative of 5 + 0 + 8*h**2 - 6. Let o(s) be the second derivative of s**4/6 - s. What is t(o(y))?
32*y**2
Suppose a - 4*a = -7*a. Suppose -7*c + 1 + 62 = a. Let f(k) = 0*k - 294 + 294 + c*k. Let o(y) = y. What is o(f(w))?
9*w
Let w(l) = -11*l**2 - 22*l + 11. Let y(x) = 2*x - 1. Let p(r) = -2*w(r) - 22*y(r). Let j(c) be the third derivative of -c**4/12 + 24*c**2. Determine p(j(q)).
88*q**2
Let y be 1127/(-35) + 8/(-10). Let b = y - -35. Let o(w) = 16*w**2 + 0*w - b*w + 2*w. Let i(m) = -m. Calculate i(o(g)).
-16*g**2
Let n(a) be the third derivative of -a**5/12 + 19*a**2 - 2*a. Let x(r) = 227*r + 236*r - 441*r. What is n(x(b))?
-2420*b**2
Let i(t) = -t. Suppose 2*a + 6 = 5*a. Suppose -55*r - 20 = -57*r. Let u(z) = 6*z**2 + 8*z**2 + r*z**a. What is u(i(s))?
24*s**2
Let s(r) = -1782*r - 1. Let v(m) = 100519*m**2. Calculate s(v(z)).
-179124858*z**2 - 1
Let t(o) be the second derivative of -o**4/6 - 2*o. Let c(p) be the third derivative of 0*p**4 + 0*p - 3/20*p**5 + 0*p**3 + 0 - 220*p**2. What is c(t(v))?
-36*v**4
Suppose 0 = 4*j + j - 30. Suppose 0*c + 3*c = -2*o + 8, 5*o + 49 = 4*c. Let r(b) = -c*b + 2*b + j*b. Let s(y) = 8*y. Determine r(s(v)).
16*v
Let q(f) = -2*f**2. Let x(o) = -12*o - 363. Let k(d) = -10*d - 365. Let w(j) = 5*k(j) - 4*x(j). Calculate q(w(c)).
-8*c**2 - 2984*c - 278258
Let l(m) be the third derivative of -11*m**5/60 + 3*m**3 + 2*m**2 - 2. Let r(s) be the first derivative of l(s). Let w(j) = 4*j**2. Calculate w(r(q)).
1936*q**2
Let r(v) = -8*v**2. Let n(k) be the third derivative of -k**5/20 - 3*k**2 + 297. Determine r(n(z)).
-72*z**4
Let x(i) = 103*i. Let y(v) = -1378915*v. Determine y(x(w)).
-142028245*w
Let a(b) = 1042*b + 29. Let r(o) = -2*o + 445. Give a(r(f)).
-2084*f + 463719
Let h(z) = 14*z**2 - 8*z - 8. Let x(u) = 5*u**2 - 3*u - 3. Let q(v) = -3*h(v) + 8*x(v). Let p(a) = 78*a - 3. Determine p(q(d)).
-156*d**2 - 3
Let j(r) = -4*r**2 + 4869. Let i(h) = 3*h - 85. What is i(j(t))?
-12*t**2 + 14522
Let a(l) = -17765*l**2 + 969*l + 969. Let u(o) = 18*o**2 - o - 1. Let v(g) = a(g) + 969*u(g). Let t(b) = -11*b**2. Determine v(t(q)).
-39083*q**4
Let d(h) = h. Let q(k) = -459651*k**2 - 1110. Let g(c) = 3737*c**2 + 9. Let p(s) = -370*g(s) - 3*q(s). Calculate p(d(f)).
-3737*f**2
Let g(n) = 18*n**2. Let r = -169 + 172. Let k(l) = 16*l - 1 - 2 - 13*l + r. Give k(g(p)).
54*p**2
Let j(a) = 6*a. Let w(s) = -2*s - 3*s + 0 + 2 + 4*s. Let d(c) = c - 1. Let b(y) = -27*y + 17. Let h be b(1). Let v(t) = h*d(t) - 5*w(t). Determine j(v(m)).
-30*m
Let c(f) be the first derivative of 229*f**2/2 + 9636. Let l(g) be the third derivative of -g**4/24 - 2*g**2. Give l(c(q)).
-229*q
Let a(i) be the first derivative of 23*i**2/2 - 15. Let g(q) be the first derivative of -3*q**2/2 - 337. Give a(g(l)).
-69*l
Let h(m) = 149*m + 124*m + 30 - 396*m + 125*m. Let s(f) = -3*f. Determine h(s(b)).
-6*b + 30
Let z(b) = 17*b**2. Let p(w) = -95*w. Let a(n) = -72*n. Let v(h) = -4*a(h) + 3*p(h). Calculate v(z(t)).
51*t**2
Let j(w) = 49869 - 162*w**2 - 714*w**2 - 24929 - 24940. Let l(x) = -5*x. Determine l(j(t)).
4380*t**2
Let l(b) = -2*b. Let u(q) = -q + 3. Let a(g) = 172 - 82 - 81 + 70*g. Let c(f) = -a(f) + 3*u(f). Give c(l(k)).
146*k
Let i(w) = 2*w**2. Let h(j) be the third derivative of -114*j**5/5 + 30*j**2 - 12*j - 2. Determine i(h(k)).
3742848*k**4
Let l(p) = 2*p + 475527. Let g(w) = 5*w. Determine l(g(c)).
10*c + 475527
Let o(s) be the third derivative of 17*s**5/30 + 2*s**2 - 166*s + 2. Let j(m) be the third derivative of m**5/30 - 14*m**2. Give j(o(n)).
2312*n**4
Let w(d) = -259 + 0*d + 120 + 3*d + 139. Let k(q) = 5668*q. Calculate k(w(s)).
17004*s
Let c(d) = -56945 + 56946 - 323*d - 325*d. Let v(z) = -z. What is v(c(u))?
648*u - 1
Let c(p) = -8683*p. Let a(m) = 401*m**2. Give c(a(h)).
-3481883*h**2
Let a(m) = 819959*m**2. Let v(k) = 5*k**2. Give a(v(i)).
20498975*i**4
Let b(p) = p. Let s(d) = 377*d**2 - d + 11265. Calculate b(s(o)).
377*o**2 - o + 11265
Let v(u) = -230*u - 4. Let f(g) be the second derivative of -1151*g**3/6 - 11*g**2 + 44*g. Let i(z) = 2*f(z) - 11*v(z). Let x(o) = 2*o. Determine x(i(t)).
456*t
Let q(d) be the second derivative of 12*d + 5/6*d**3 + 0*d**2 + 0. Let a(w) = -33*w - 12. Let h(r) = -2*r - 1. Let i(z) = -a(z) + 12*h(z). Determine q(i(t)).
45*t
Let b(i) = 9*i**2. Let r(l) be the second derivative of -20*l - 5/6*l**3 + 0 + 0*l**2. Let o(p) = -6*p. Let g(n) = -3*o(n) + 4*r(n). Calculate g(b(f)).
-18*f**2
Let o(z) = 49*z. Let x(j) be the second derivative of j**4/6 - j**3/6 - 83*j - 19. Determine o(x(h)).
98*h**2 - 49*h
Let z(q) = -166*q - 39. Let d(j) = 500*j + 138. Let f(l) = -2*d(l) - 7*z(l). Let g(k) = -2*k. Determine f(g(v)).
-32