12
Let i(p) = 1998*p + 8. Let x(d) = -d**2. Give i(x(z)).
-1998*z**2 + 8
Let b(l) = 9*l**2 + 17*l. Let u(v) = 3*v**2 + 6*v. Let h(c) = 6*b(c) - 17*u(c). Let w = -13 - -13. Let f(m) = m - 134 + 134 + w*m. What is h(f(z))?
3*z**2
Let s(t) = 3*t + 1 - 1. Let x(r) be the third derivative of r**7/1260 - 5*r**4/4 + 41*r**2. Let q(w) be the second derivative of x(w). What is s(q(p))?
6*p**2
Let w(v) = 2210*v. Let u(f) = -23*f**2. Calculate w(u(k)).
-50830*k**2
Let z(y) = y. Let f(o) = -766983*o**2. Give z(f(q)).
-766983*q**2
Let x(f) = -f**2. Let c(m) = 61*m - 188*m + 60*m + 103*m. Calculate c(x(l)).
-36*l**2
Let u(g) = 44*g - 3. Let c(h) = 22*h - 2. Let k(n) = -5*c(n) + 3*u(n). Let s(q) = 3*q**2. Calculate k(s(p)).
66*p**2 + 1
Let r(n) = 558127*n. Let v(a) = -a. Calculate v(r(l)).
-558127*l
Let y(z) = 6111*z**2. Let w(q) = 4*q**2 - 19. Give w(y(t)).
149377284*t**4 - 19
Let n(u) = 1730*u. Let p(v) = 27*v - 1. Give n(p(w)).
46710*w - 1730
Let r(n) = n**2 + n**2 + 4*n**2. Suppose 0 = 5*a - 15, 2*w + 3 = 5*w - a. Let b(m) = -w*m**2 + 85 - 85. Determine b(r(h)).
-72*h**4
Let d(z) be the second derivative of -475*z**3/6 - 27*z + 2. Let c(g) = -2*g**2. Calculate d(c(n)).
950*n**2
Let t(l) = -1470*l**2 + 385*l + 385. Let g(y) = 23*y**2 - 6*y - 6. Let s(a) = 385*g(a) + 6*t(a). Let r(z) = 3*z. What is s(r(d))?
315*d**2
Let w(m) be the first derivative of -m**2 + 32*m + 84. Let n(k) = -2*k**2. Determine n(w(g)).
-8*g**2 + 256*g - 2048
Let f(i) be the first derivative of 4*i**3/3 + i**2/2 - i - 6. Let h(a) = -a**2 - a + 1. Let x(b) = -f(b) - h(b). Let o(g) = 13*g. Give x(o(w)).
-507*w**2
Let o = -6 + 4. Let m = -1 + o. Let x(j) = -4*j - 7. Let p(y) = 2*y + 3. Let r(b) = m*x(b) - 7*p(b). Let s(i) = -8*i. What is s(r(a))?
16*a
Let c(z) = z. Let f(v) = -14*v - 1. Let y(s) = -14*s + 1. Let o(x) = -3*f(x) + 4*y(x). Calculate c(o(q)).
-14*q + 7
Let u(n) be the first derivative of 17*n**2/2 + 5. Let f(t) = 2*t**2 + 10*t - 12*t + 2*t. What is u(f(p))?
34*p**2
Let o(l) = 2*l. Let c(d) = 2*d**2 + 3*d + 26362. What is c(o(z))?
8*z**2 + 6*z + 26362
Let o(l) = 4*l - 5. Let f(h) = -h + 1. Let a(m) = -f(m) + o(m). Let n(j) = -9*j + 11. Let s(q) = -11*a(q) - 6*n(q). Let d(x) = -34*x + 2. What is d(s(k))?
34*k + 2
Let k(y) = y**2. Let z(q) = -q - 2. Suppose 2*v + 1 = -3*v - 3*d, d = 3. Let f(b) = -2*b - 7. Let m(g) = v*f(g) + 7*z(g). What is k(m(c))?
9*c**2
Let y(d) = -4*d**2. Let g be 56/4 + (-12)/(-3). Let l be 140/g + (-18)/(-81). Let x(c) = c - 11*c + l*c. Determine x(y(m)).
8*m**2
Let s(h) = -11*h**2 - 10*h. Let a(o) = -17*o**2 - 16*o. Let z(v) = 5*a(v) - 8*s(v). Let u(g) = -21*g. What is z(u(b))?
1323*b**2
Let h(x) be the first derivative of -x**4/8 + 33*x**2/2 - 2. Let a(d) be the second derivative of h(d). Let i(u) = 3*u**2. Calculate i(a(o)).
27*o**2
Let b(w) be the first derivative of -w**3/3 + 2*w**2 + 7*w - 1. Let p be b(5). Let t(f) = 0*f**2 + 61 - 61 - 2*f**p. Let h(j) = -12*j**2. What is h(t(n))?
-48*n**4
Let p(x) = 2*x**2 + 6*x + 116. Let s(u) = u - 2. Let q(f) = p(f) - 6*s(f). Let o(a) = -a. Calculate q(o(r)).
2*r**2 + 128
Let q(a) = -a**2 - 264*a. Let z(v) = 2*v**2. Give q(z(p)).
-4*p**4 - 528*p**2
Let l = -8 - -8. Suppose l = -s + 13 - 10. Let b(d) = d**2 - d**2 - s*d**2. Let f(a) = -a. Give b(f(k)).
-3*k**2
Let z(f) be the first derivative of -f**2/2 - 1021. Let y(o) = -5*o. Let d(j) = -4*j. Let s(v) = 3*d(v) - 4*y(v). Determine z(s(i)).
-8*i
Let y(j) be the third derivative of 0*j**3 + 0*j + 11/24*j**4 + 0 + 16*j**2. Let l(g) = -2*g. Determine l(y(b)).
-22*b
Let m(d) be the second derivative of 5*d**4/12 + 3*d. Let w(z) be the first derivative of 2*z**2 - 485. Determine w(m(h)).
20*h**2
Let n(k) = k. Suppose -4*f = -x - 7, 2 = -7*f + 10*f - 4*x. Let a(u) = -11 + 4*u**f + 7 + 19. Determine a(n(g)).
4*g**2 + 15
Let l(g) = -3*g + 18. Let c(x) = 44 - 5*x + 30 - 74. Calculate c(l(a)).
15*a - 90
Let r(g) = -2*g**2. Let q = 39 + -37. Let j(k) = -4*k**2 + 13*k**2 - 10*k**q - k**2. Determine r(j(y)).
-8*y**4
Let v(w) = -4*w**2 - 5. Let p(m) = 5 - 1 + 6*m**2 - 2 - 4*m**2. Let u(o) = 5*p(o) + 2*v(o). Let t(y) = -12*y**2. Calculate t(u(s)).
-48*s**4
Let s(y) = -35*y. Let f(o) = 11*o - 54*o + 16*o + 9*o + 14*o. Calculate s(f(n)).
140*n
Let i(r) = 2*r. Let h(v) be the second derivative of -v**6/40 + 8*v**3/3 - 13*v. Let g(f) be the second derivative of h(f). Give i(g(d)).
-18*d**2
Let d(h) = h. Let j(u) = -4*u**2 + 13*u + 52*u - 38*u. Determine d(j(t)).
-4*t**2 + 27*t
Suppose 1 - 2 = -x. Let w(g) = -x + 1 - 3*g. Let h(j) = 2*j + 2. Let b(n) = -3. Let t(q) = -2*b(q) - 3*h(q). Determine t(w(d)).
18*d
Let v(d) = -2*d + 306. Let g(z) = -19*z. What is g(v(f))?
38*f - 5814
Let m(n) = n**2. Let v(b) = 4 + 73*b**2 - 184*b**2 - 4. Give m(v(q)).
12321*q**4
Let r(d) = 2*d. Let j(l) be the first derivative of 71*l**3/3 - 47. Determine r(j(b)).
142*b**2
Let p(w) = 23*w. Let l(h) = -714*h. Let t(s) = 2*l(s) + 63*p(s). Let k(v) = 3*v. Let c(x) = -2*x. Let r(y) = c(y) + k(y). Calculate t(r(i)).
21*i
Let i(v) = -8*v. Let c(u) = 2*u - 2688. Give c(i(n)).
-16*n - 2688
Let h(v) = 11*v + 3. Let f(c) = -12*c - 4. Let j(o) = o**2 - 4*o - 9. Let q be j(5). Let t(d) = q*h(d) - 3*f(d). Let s(w) = -3*w**2. What is t(s(r))?
24*r**2
Let j(l) = -60*l - 1. Let m(r) = 26*r - 36. Calculate j(m(d)).
-1560*d + 2159
Let i(c) = 7*c**2. Let h(a) = 1348*a. Calculate h(i(y)).
9436*y**2
Let i(k) = 1216*k**2 - 224*k + 112. Let t(z) = -54*z**2 + 10*z - 5. Let f(v) = -5*i(v) - 112*t(v). Let a(c) = 4*c**2. Give a(f(w)).
4096*w**4
Let a(s) be the second derivative of 17*s + 0*s**3 + 0*s**2 + 13/12*s**4 + 0. Let j(v) = 4*v**2. Give j(a(p)).
676*p**4
Let g(s) = -2*s**2 - 123*s - 24. Let x(j) = -j. Determine g(x(m)).
-2*m**2 + 123*m - 24
Let z(a) = -9*a. Suppose -5*x + 1463 = 5*r - 7, 4*x + r - 1179 = 0. Let w(q) = -q - x + 295. Calculate z(w(v)).
9*v
Let j(x) = 2*x - 3. Let g(t) = 819*t**2 - 1. Determine j(g(d)).
1638*d**2 - 5
Let r(j) = j**2. Let n(o) be the second derivative of 1/6*o**4 - 30*o + 1/2*o**2 + 0 + 0*o**3. Calculate r(n(q)).
4*q**4 + 4*q**2 + 1
Let d(b) = -507*b - 7*b**2 + 507*b. Let k(y) = -4*y**2. Calculate k(d(s)).
-196*s**4
Let h(r) = -r. Let p(q) = 16*q**2 + 3661*q. Give h(p(f)).
-16*f**2 - 3661*f
Let v(h) = -28*h + 2. Let b(d) = 1254*d**2. Give b(v(o)).
983136*o**2 - 140448*o + 5016
Let h(r) = -184*r**2. Let m(v) = -266*v. Determine h(m(x)).
-13019104*x**2
Let u(v) = -12*v**2 + 156*v - 53. Let w(f) = -2*f. Determine u(w(s)).
-48*s**2 - 312*s - 53
Let c(y) = -8*y - 10*y + 43*y - 17*y - 10*y. Let v(z) = -100*z + 1. Give v(c(q)).
200*q + 1
Let o(a) = -5*a**2. Let u(b) = 9*b. Let l(m) = -13*m. Suppose -q = 3*y + 6 + 1, -5*y = 0. Let d(p) = q*u(p) - 5*l(p). Determine o(d(x)).
-20*x**2
Let a(o) = -2*o**2. Let z(n) = 88074*n**2 - 466*n + 466. Let p(y) = -947*y**2 + 5*y - 5. Let b(s) = -466*p(s) - 5*z(s). Give a(b(j)).
-1737248*j**4
Let u(a) = -a + 171. Let z(p) = 86*p**2 - 4. What is z(u(j))?
86*j**2 - 29412*j + 2514722
Let y(r) be the third derivative of -r**5/60 + 7*r**2. Let z(v) = 69*v**2 + 24. Let u(b) = -14*b**2 - 5. Let s(h) = -24*u(h) - 5*z(h). What is y(s(i))?
-81*i**4
Let o(d) = -23*d. Let a(k) = -2*k**2 - 6*k. Let f(q) = -2*q. Let r(w) = 2*a(w) - 6*f(w). Give o(r(t)).
92*t**2
Let n = 226 + 178. Let s(a) = 404*a - 7*a**2 - n*a. Let r(z) = 6*z**2. Calculate s(r(b)).
-252*b**4
Let k(l) = 2*l**2. Let a(b) = 3*b - 88. Let m(u) = 7*u - 170. Let p(j) = 5*a(j) - 3*m(j). Give p(k(z)).
-12*z**2 + 70
Let b(v) be the second derivative of v**3/6 + 58*v + 27. Suppose 3*m + d = 22, 0*d + 13 = 2*m + d. Let s(j) = -2 - m*j**2 + 2. Give b(s(a)).
-9*a**2
Let y(q) = 26*q**2. Let l(h) = 3411*h. Calculate y(l(x)).
302507946*x**2
Let m(b) = 176*b**2. Let y(s) = -235*s. Determine y(m(c)).
-41360*c**2
Let q(w) = -95*w - 103*w - 89*w + 292*w. Let d(b) = -16*b - 2. Determine q(d(p)).
-80*p - 10
Let f(z) = 3*z**2 + 2. Let t(o) = -10*o**2 - 7. Let g(k) = 7*f(k) + 2*t(k). Let a(u) = -15*u**2 + 27*u**2 - 3*u**2 - 16*u**2 - 15*u**2. Determine g(a(c)).
484*c**4
Let g(k) = 54*k**2. Let l(m) = -1005*m + 4. What is g(l(a))?
54541350*a**2 - 434160*a + 864
Let x(k) = k**2. Let i(l) = -6*l - 3. Let o be 15 - 11 - (-1 + -9). Let t = -11 + o. Let u(s) = 7*s + 4. Let r(m) = t*u(m) + 4*i(m). Calculate r(x(v)).
-3*v**2
Let t(k) = 25