- 3
Let x(n) be the second derivative of 4*n**4/3 - 70*n. Let h(j) = 9*j. Give x(h(p)).
1296*p**2
Let m(f) be the second derivative of 11*f**4/24 - f**2/2 - 10*f. Let b(a) be the first derivative of m(a). Let h(j) = -j. Determine b(h(t)).
-11*t
Let f(a) = 5*a**2 - 6. Let b(w) = -w**2 + 1. Let m(r) = 6*b(r) + f(r). Let z(h) = -138*h**2 + h. Calculate z(m(l)).
-138*l**4 - l**2
Let m(b) be the third derivative of b**4/12 - 2*b**2 + 54*b. Let c(x) = -2*x**2 + 8. Give c(m(a)).
-8*a**2 + 8
Let i(g) = -5*g**2 - 3*g - 20. Let w(d) = 9*d**2 + 5*d + 41. Let z(o) = -5*i(o) - 3*w(o). Let b(y) be the second derivative of y**3/3 - 2*y. What is b(z(c))?
-4*c**2 - 46
Let q(w) = w**2. Let g(c) = 3*c - 2*c + 3 - 2. Suppose -25 = 24*n + 23. Let r(a) = -17*a - 2. Let x(m) = n*g(m) - r(m). What is x(q(d))?
15*d**2
Let y(h) = -2*h. Let c(b) be the third derivative of -5/24*b**4 + 0 - 11*b**2 + 0*b**3 + 3*b. Give y(c(g)).
10*g
Let b(t) be the second derivative of -t**6/90 - 5*t**3/6 + 14*t. Let v(d) be the second derivative of b(d). Let s(m) = -3*m**2 + 9 - 9. Give v(s(n)).
-36*n**4
Let y(j) = 2*j**2 + 4*j. Let s(h) = h**2 + h. Let x(a) = -4*s(a) + y(a). Let k(t) = -122*t**2. Give x(k(p)).
-29768*p**4
Let r(c) = 2*c**2 - 37*c - 8. Let z(u) = -180*u**2. Calculate r(z(b)).
64800*b**4 + 6660*b**2 - 8
Let s(c) = -455*c**2 + 226*c**2 + 231*c**2. Let p(d) = 5*d**2 - 3. Determine s(p(f)).
50*f**4 - 60*f**2 + 18
Let p(u) = -161007*u**2 - 3570*u - 3570. Let o(c) = 361*c**2 + 8*c + 8. Let f(z) = -1785*o(z) - 4*p(z). Let s(y) = y**2. Determine s(f(v)).
127449*v**4
Let t(z) = 2*z - 3. Let g(q) be the first derivative of q**5/30 + 5*q**2/2 + 6. Let v(l) be the second derivative of g(l). Calculate v(t(p)).
8*p**2 - 24*p + 18
Suppose 7*a = -7 + 28. Let t(g) be the first derivative of 5 + 5/3*g**a + 0*g**2 + 0*g. Let d(k) = k**2. Calculate t(d(i)).
5*i**4
Let u(v) = -4*v + 3. Suppose 4*f = -f + 15. Let l(t) = -t + 1. Let h(c) = f*l(c) - u(c). Let m(a) = -a**2. What is h(m(s))?
-s**2
Let p(r) be the first derivative of r**3/3 + r - 1. Let u(t) be the first derivative of p(t). Let i(j) = 2 - 2*j - 2. Calculate u(i(k)).
-4*k
Let a(u) be the second derivative of -u + 0*u**2 - 3/2*u**3 + 0. Let n(m) = -5*m - 2. Let p(b) = 28*b + 11. Let t(v) = 22*n(v) + 4*p(v). Determine a(t(x)).
-18*x
Let p(v) = 0 + 96*v**2 + 0 - 50*v**2 - 41*v**2. Let d(c) = 2*c**2 - 20*c. Give d(p(t)).
50*t**4 - 100*t**2
Let s(n) = -930*n**2. Let z(w) = 143*w. Determine z(s(i)).
-132990*i**2
Suppose 8*x - 31 = 1. Let t(d) = 2*d - 10*d + x*d. Let v(l) = 5*l**2. Determine v(t(j)).
80*j**2
Let s(h) = -277 + 136 - 20*h + 141. Let z(b) = 3*b. Calculate z(s(o)).
-60*o
Let h(f) = f. Let i(m) = 11104*m**2 + 60*m. What is i(h(x))?
11104*x**2 + 60*x
Let z(o) = 605*o**2. Let r(y) = -27*y**2. Calculate z(r(u)).
441045*u**4
Let b(g) = 2*g**2 - 67. Let t(n) = -8*n - 4. Let w(m) = 23*m + 11. Let a(h) = -11*t(h) - 4*w(h). Determine a(b(d)).
-8*d**2 + 268
Let u(r) = -14*r**2 - 5*r + 5. Let t(w) = -13*w**2 - 4*w + 4. Let s(p) = -5*t(p) + 4*u(p). Let l(z) = 11*z. Determine s(l(c)).
1089*c**2
Let y(m) = 18*m**2 + 5*m. Let f(r) = -17*r**2 - 4*r. Let s(x) = 4*f(x) + 3*y(x). Let b(w) = w. Determine b(s(z)).
-14*z**2 - z
Let d(b) = -573*b**2. Let y(i) = 2*i**2 + 226406 - 226406. What is y(d(l))?
656658*l**4
Let n(d) = -45479*d**2. Let s(t) = -16*t. Give s(n(g)).
727664*g**2
Let m(r) = -13*r - 3. Let d(a) = 4*a**2. Determine m(d(j)).
-52*j**2 - 3
Let s(w) = 0*w**2 + 3*w**2 - 4*w**2. Let v(u) = 60*u. Let a(f) = -43*f. Let z(b) = 7*a(b) + 5*v(b). What is z(s(n))?
n**2
Let t(g) be the second derivative of g - 1/2*g**3 + 0 + 0*g**2. Let f(j) = -5*j. Let d(w) = -3*f(w) + 4*t(w). Let c(x) = -3*x**2. What is c(d(k))?
-27*k**2
Suppose -23 = -5*c + 4*u, 2*u + 1 = -3*c + 6. Let o(a) = -2*a**2 - c*a**2 + a**2 + 2*a**2. Let h(q) be the first derivative of 2*q**3/3 + 2. Calculate h(o(t)).
8*t**4
Let y(r) = 5*r - 207. Let x(m) = 7*m - 280. Let g(h) = 8*x(h) - 11*y(h). Let z(s) = 3*s**2. Determine g(z(w)).
3*w**2 + 37
Let a(x) = -3*x + 5. Let h(s) = 4*s - 7. Suppose 8 + 13 = -3*u. Let f(r) = u*a(r) - 5*h(r). Let m(d) = 7*d. Give m(f(y)).
7*y
Let b(d) = -124*d - 1. Let h(y) = -5*y**2 + 411*y. What is h(b(k))?
-76880*k**2 - 52204*k - 416
Let v(u) be the second derivative of -u**5/30 - u**2/2 - 27*u. Let y(n) be the first derivative of v(n). Let b(l) = -24*l**2. Give b(y(i)).
-96*i**4
Let f(m) = -2*m. Let y(i) = 1 + 8 - 9 + 139*i. What is y(f(v))?
-278*v
Let q(t) = -10*t - 3. Let r(p) = -91*p - 28. Suppose -l = -2*l - 28. Let i(a) = l*q(a) + 3*r(a). Let w(u) = u. Determine w(i(k)).
7*k
Let p(w) = 2*w**2 + 3*w - 3*w - 11*w**2. Let j(s) = -s. Suppose -7*o + 3*o - 32 = 0. Let l(m) = 10*m. Let a(h) = o*j(h) - l(h). Determine p(a(f)).
-36*f**2
Let l(h) = -2862*h**2. Let n(k) = 10*k**2. Determine l(n(s)).
-286200*s**4
Let n(q) = q**3 - 9*q**2 - 2*q + 15. Let a be n(9). Let v(s) = 7*s - 3. Let l(f) = 20*f - 8. Let c(u) = a*l(u) + 8*v(u). Let g(x) = 7*x. What is c(g(p))?
-28*p
Suppose 10*n - 2*n = 0. Let h(s) be the second derivative of 0 + n*s**2 - 1/3*s**3 - 3*s. Let d(z) = 8*z. What is h(d(o))?
-16*o
Let d(s) = -22366*s. Let y(g) = 21*g**2 + g. Calculate d(y(i)).
-469686*i**2 - 22366*i
Let d(h) = -2*h. Let x(j) = 38*j**2 + 4*j + 7. Let i(g) = 39*g**2 + 3*g + 5. Let o(p) = 4*i(p) - 3*x(p). Determine o(d(a)).
168*a**2 - 1
Let s(k) = -119*k - 217*k - 129*k + 588*k. Let v(p) = -p**2. Give s(v(y)).
-123*y**2
Let u(p) = -113*p**2. Let f(n) = 1035*n. Determine f(u(i)).
-116955*i**2
Let b(w) = w - 7530. Let n(p) = 4*p**2. Calculate n(b(r)).
4*r**2 - 60240*r + 226803600
Let t(v) = 3*v. Let w(o) = -636*o**2 - 68*o. Give w(t(y)).
-5724*y**2 - 204*y
Let i(o) = -2*o**2. Let c(g) be the second derivative of 29*g**6/720 + g**4/6 + 8*g. Let f(t) be the third derivative of c(t). What is f(i(v))?
-58*v**2
Let a = -7 - -25. Let m(n) = a*n - 9*n - 10*n. Let k(d) be the first derivative of -5*d**2 + 1. Determine m(k(q)).
10*q
Let n(h) = -22*h - 708*h**2 + 22*h - 72 + 710*h**2. Let o(d) = -9*d. Give n(o(m)).
162*m**2 - 72
Let t(p) = 2*p**2. Let k = 10 + -8. Let m = 0 + k. Let w(i) = -i**2 + 6*i**m - 3*i**2 + 2*i**2. Determine t(w(v)).
32*v**4
Let l(v) = 4314*v**2 + 401*v. Let p(s) = -2*s**2. What is l(p(f))?
17256*f**4 - 802*f**2
Let n(h) = h**2. Let g(f) = -3940*f**2. Calculate n(g(b)).
15523600*b**4
Let x(h) = 7*h + 2*h + 21*h. Let a(b) = 15*b + 0*b**2 - 7*b + b**2 - 8*b. What is a(x(d))?
900*d**2
Let n(l) be the first derivative of -159*l**2 - 202. Let t(y) = -2*y**2. Determine n(t(g)).
636*g**2
Let g(x) = -2*x + 1. Let o(v) = 42*v - 18. Let d(r) = -18*g(r) - o(r). Let i(z) = 12*z. Calculate i(d(l)).
-72*l
Let l(t) = t. Let d(g) be the third derivative of -g**6/90 - 26*g**3/3 + 21*g**2 - 2. Let o(x) be the first derivative of d(x). Calculate o(l(q)).
-4*q**2
Let x(n) = 8 + 1 - 1 - 8 + 2*n. Let j(f) = -155*f. Determine j(x(r)).
-310*r
Let j(d) = 30*d**2. Let l(n) = -n + 5. Let p(m) = 3*m - 25. Let q(s) = -10*l(s) - 2*p(s). Determine q(j(k)).
120*k**2
Let p(q) = 2*q - 32. Let k(l) = 10*l + 5. Let a(b) = 5*b + 3. Let j(t) = -5*a(t) + 3*k(t). What is j(p(w))?
10*w - 160
Let a(l) = -4*l**2. Let v(r) = -7*r**2 - 8*r**2 - 8*r**2 - 2*r**2. What is v(a(y))?
-400*y**4
Let r(u) = 19 - 5*u - 4 + 6 - 21. Let s(d) = 2*d**2 + 8*d. What is s(r(p))?
50*p**2 - 40*p
Let q be (-6 - -2)*1*-1. Let h(z) = -3*z**2 + 6*z**2 - q*z**2. Let p(g) = -15*g. Calculate h(p(w)).
-225*w**2
Suppose -3*v - 15 = 0, -v - 18 = -4*u + v. Let j(q) = 12*q**u - 7*q**2 + 0 + 0. Let d(x) = -x**2 + 3*x + 2*x - 5*x. Give j(d(o)).
5*o**4
Let i(u) = -4*u**2 + 10*u - 10. Let x(v) = v**2 - 2*v + 2. Let l(z) = i(z) + 5*x(z). Let t(s) = -1 + 1 + 17*s**2. What is l(t(o))?
289*o**4
Let y(q) = -24*q**2 + 3759. Let f(l) = 4*l**2. What is y(f(g))?
-384*g**4 + 3759
Let c(p) = -3*p**2. Let o(h) = -12*h - 39. Let n be o(-4). Suppose 3 = -2*k + 19. Let v(q) = 2*q + n*q - k*q. Give v(c(a)).
-9*a**2
Let f(i) be the first derivative of -i**2 + 217. Let d(c) = -45*c**2 - 55. Let w(o) = -5*o**2 - 6. Let n(h) = 6*d(h) - 55*w(h). Determine n(f(m)).
20*m**2
Let j(d) = 12*d**2 + 598 - 25*d**2 - 598. Let p(u) = -16*u**2. Calculate j(p(b)).
-3328*b**4
Let y(h) = 29*h + 2. Let a(f) = -f + 8. Let n(o) = -3*o + 32. Let p(q) = -4*a(q) + n(q). Calculate p