p**2
Let q(a) be the third derivative of a**4/8 - 4*a**3/3 + 21*a**2 + 4*a. Let v(o) = -3*o. What is v(q(t))?
-9*t + 24
Let b(h) = 13*h - 2. Let y(q) = 21*q - 5. Let g(p) = -187*p + 44. Let n(i) = -5*g(i) - 44*y(i). Let x(w) = 5*w. Let t(c) = 4*n(c) - 9*x(c). What is t(b(r))?
-13*r + 2
Let f(n) = -69*n. Let d(w) = -441*w**2. What is d(f(x))?
-2099601*x**2
Let f(g) = g + 1. Let p(z) = 3 - 2*z**2 - 11*z**2 + 3*z + 14*z**2. Let y(j) = -3*f(j) + p(j). Let l(m) = -4*m - 3 + 6*m + 3. Give y(l(s)).
4*s**2
Let m(x) = -28497*x**2. Let h(p) = -7*p. Give h(m(t)).
199479*t**2
Let d(t) = 4*t. Let f(z) = 5*z**2. Let w be f(1). Suppose -4 = -y + h, w - 2 = 3*h. Let g(j) = j + 3*j + 0*j - y*j. Determine d(g(p)).
-4*p
Let i(h) be the second derivative of h**3/3 - h. Let f(p) = -15*p + 14*p - 1 - 2 + 4. Let o(u) = 80*u - 72. Let x(w) = -144*f(w) - 2*o(w). What is i(x(y))?
-32*y
Let g(j) = 2*j. Let o(u) = u + 10. Let y be o(-8). Let t(l) = 20*l + 2*l**2 + 6*l**y - 20*l. What is g(t(r))?
16*r**2
Let f(h) be the first derivative of 4 - 3 + 3*h**2 - 2*h**2. Let s(m) = -14*m - 1. Let c(b) = -171*b - 12. Let n(q) = c(q) - 12*s(q). What is n(f(v))?
-6*v
Let h(o) = 19*o. Let m(z) be the third derivative of -7*z**4/24 - 7*z**2. Let w(c) = -3*c. Let q(n) = 2*m(n) - 5*w(n). Determine h(q(v)).
19*v
Suppose 5*l = 18 + 17. Suppose l = c + 4*u, 35 = -0*c + 5*c - 4*u. Let x(s) = -5*s + 2*s + c*s. Let a(j) = 3*j**2. Determine a(x(d)).
48*d**2
Let f(p) = 11*p**2 + 5*p - 10. Let w(o) = 4*o**2 + 2*o - 4. Let t(j) = -6*f(j) + 15*w(j). Let q(g) = -18*g. What is q(t(m))?
108*m**2
Let o(h) = -2*h. Let g(a) = a**2 + 2*a - 17679. Give o(g(u)).
-2*u**2 - 4*u + 35358
Let s(k) = k**2. Let g(a) = a. Let y(h) = -h - 5. Let f(n) = -n - 6. Let w(q) = 5*f(q) - 6*y(q). Let z(u) = -7*g(u) + 6*w(u). Calculate z(s(l)).
-l**2
Let y(s) = 21*s. Let l(h) = 1786*h. Calculate y(l(u)).
37506*u
Let u(f) be the second derivative of 5*f**4/12 - f. Let d(n) = -3 - 125*n**2 + 3 + 127*n**2. Determine d(u(l)).
50*l**4
Let p(m) = -9 - 14 + 23 + 5*m. Let u(c) = 3*c. Let b(f) = 16*f. Let g(y) = -4*b(y) + 22*u(y). Give p(g(n)).
10*n
Let u(r) = -3*r**2 + 31*r + 3. Let f(t) = -381*t. Determine u(f(w)).
-435483*w**2 - 11811*w + 3
Let p(s) = 3*s**2. Let r = -11 - -5. Let v(o) = o - 3 + 2 + 0*o + 0*o. Let d(b) = -2*b**2 + 6*b - 6. Let x(n) = r*v(n) + d(n). What is x(p(a))?
-18*a**4
Let m(f) = -37*f - 393. Let c(d) = -4*d**2. Give c(m(w)).
-5476*w**2 - 116328*w - 617796
Let v(j) = 11*j**2 - 19*j - 18. Let g(f) = 32*f**2 - 55*f - 51. Let d(i) = 6*g(i) - 17*v(i). Let w(m) = -2*m. What is d(w(b))?
20*b**2 + 14*b
Let p(z) = -5*z. Let v(k) = -52232*k. What is v(p(x))?
261160*x
Let j(a) = -10*a. Let o(c) = 12*c**2 - 4*c. Let v(y) = 2*y**2 + y. Let r(k) = o(k) + 4*v(k). What is j(r(s))?
-200*s**2
Let n(l) be the third derivative of 113*l**5/20 - 332*l**2. Let k(v) = 2*v. Calculate k(n(p)).
678*p**2
Let v(l) = l**2 - 4072*l. Let c(k) = -31*k. Calculate v(c(o)).
961*o**2 + 126232*o
Let k(q) = -86*q. Let o(t) = -8362*t**2. Calculate k(o(g)).
719132*g**2
Let u be (1*-1)/((-9)/171). Let v(f) = -35*f + 21*f + u*f. Let g(h) = -h - 2 + 2 - h. What is v(g(r))?
-10*r
Let a(k) be the second derivative of k**3/3 + 17*k. Let s = 5 + -4. Let b(x) = s - 1 - 3*x. Give b(a(h)).
-6*h
Let d(p) = 3*p + 6*p - 10*p. Let r(y) = 322*y. Determine d(r(z)).
-322*z
Let c(u) = 66*u**2. Let g(i) = -1031*i - 9. Calculate g(c(a)).
-68046*a**2 - 9
Let s(q) = 6*q**2 - 16. Let r(f) = f**2 - 2. Let c(n) = -24*r(n) + 3*s(n). Let d(h) = -4*h**2 + 13. What is d(c(o))?
-144*o**4 + 13
Let y(j) = -3*j + 1 + 21*j - 7*j - 4*j - 4*j. Let m(g) = 9*g. What is y(m(a))?
27*a + 1
Let y(s) be the third derivative of -s**4/24 - s**2. Let r(t) = -t - 3. Let h(g) be the first derivative of g + 8. Let v(c) = -3*h(c) - r(c). Calculate y(v(a)).
-a
Let t(y) = -3*y. Let b(v) = -2 + 7*v**2 + 2 + 75799*v - 75807*v. Calculate t(b(z)).
-21*z**2 + 24*z
Let a(g) = -16*g + 5. Let u(x) = -3*x + 1. Let m(j) = a(j) - 5*u(j). Let h(i) = 4 + 6*i**2 - 4. Determine m(h(s)).
-6*s**2
Let o(l) = -l. Let f(n) = -19084*n. Determine o(f(v)).
19084*v
Suppose 8 = 3*t - 2*h, t = 4*h - 5*h + 1. Let s(l) = -5*l**t + l**2 - 6 + 6. Let n(g) = 5*g**2. What is s(n(z))?
-100*z**4
Let h(o) be the second derivative of o**4/2 - 70*o. Let p(v) be the first derivative of -v**2/2 + 1. Give p(h(u)).
-6*u**2
Let l(m) = 74*m - 186. Let c(d) = 2*d. Give c(l(a)).
148*a - 372
Let b(g) = -93*g. Let x(u) = -69*u**2. Give x(b(q)).
-596781*q**2
Let l(v) be the third derivative of v**5/20 - 3*v**2. Let c(h) = -45*h**2 + 139*h**2 - 58*h**2 - 48*h**2. Calculate l(c(o)).
432*o**4
Let z(p) = 7106*p**2. Let h(o) = 13*o**2. Determine z(h(t)).
1200914*t**4
Let b(j) = 4*j**2. Let n(a) = 30*a + 455. Calculate b(n(g)).
3600*g**2 + 109200*g + 828100
Let t(p) = -193*p**2 - 24*p - 3. Let i(a) = -2*a. Give i(t(h)).
386*h**2 + 48*h + 6
Let v(l) = -l**2. Let q(s) = -8196*s + 1. Determine q(v(x)).
8196*x**2 + 1
Let f(m) be the first derivative of 92*m**3/3 - 386. Let q(i) = -2*i**2. Determine q(f(x)).
-16928*x**4
Let j(b) = -76*b + 3. Let v(k) = -29*k + 118*k - 31*k - 27*k - 33*k. Give v(j(x)).
152*x - 6
Let b(n) = -2912*n - 3. Let i(m) = 5*m. Determine i(b(l)).
-14560*l - 15
Let i(k) = -3*k**2. Let o(l) = -5240*l. What is o(i(t))?
15720*t**2
Let w(j) be the second derivative of j**4/12 + 3*j - 2. Let z(x) = -611*x - 143. Let v(m) = -17*m - 4. Let l(n) = 143*v(n) - 4*z(n). What is l(w(s))?
13*s**2
Let c(i) = 131*i**2. Let d(x) = -583*x**2. Determine d(c(s)).
-10004863*s**4
Let y(u) = 43307*u. Let h(s) = -s. What is h(y(g))?
-43307*g
Let f(h) = -30*h + 180. Let i be f(6). Let q(u) be the third derivative of 0 + 4*u**2 + 0*u**4 + 1/60*u**5 + 0*u**3 + i*u. Let k(s) = 17*s. What is k(q(t))?
17*t**2
Let v be (-1)/(-3*(-1)/(-33)). Let j(t) = 3*t + 9*t - v*t. Let y(x) = -7*x. Determine j(y(z)).
-7*z
Let g(h) = -9*h - 1714. Let i(s) = -2*s. What is g(i(f))?
18*f - 1714
Let s(x) = 3. Let v(g) = 3*g - 15. Let u(m) = 5*s(m) + v(m). Let r(i) = -93*i**2 - 2. What is u(r(w))?
-279*w**2 - 6
Let h(d) = 12*d**2. Let g(j) be the second derivative of -j**4/2 + 4*j - 4. What is h(g(q))?
432*q**4
Let o(b) be the third derivative of 0 + 2/15*b**5 + 7*b**2 + 0*b + 0*b**3 + 0*b**4. Let s(z) = 10*z + 11*z - 20*z. What is s(o(t))?
8*t**2
Let t(c) be the first derivative of -3*c**2/2 - 25. Let m(g) = 6*g**2 + 5*g**2 - 5*g**2. Calculate t(m(j)).
-18*j**2
Let n(o) be the first derivative of o**2 + 142. Let l(h) = 64*h. Calculate l(n(p)).
128*p
Let v(a) be the first derivative of 2 + 2*a**2 - 3 + 4*a**2. Let k(g) = g**2 - 5*g**2 + g**2 + 4*g**2. Calculate k(v(h)).
144*h**2
Let y(t) = 108180*t**2. Let k(p) = 3*p. Calculate k(y(g)).
324540*g**2
Let d(v) = 2875*v. Let m(k) = -654*k**2. Give d(m(z)).
-1880250*z**2
Suppose -3 = -3*k + 15. Suppose k*m - 4*n - 272 = 2*m, 5*m + 4*n - 367 = 0. Let d(b) = 71 - m + 8*b. Let j(u) = u**2. What is j(d(t))?
64*t**2
Let j(c) = 2*c**2. Let o(v) = -10*v - 5. Let b(f) = 48*f + 28. Let r(u) = 2*b(u) + 11*o(u). Determine r(j(m)).
-28*m**2 + 1
Let c(u) be the first derivative of 1/2*u**2 - 3 + 0*u. Let v(n) = -3*n**2. Calculate v(c(d)).
-3*d**2
Let x = 10 + -8. Let r(v) = 29*v - 29*v - 3*v**x. Let a(m) = -4*m**2 + 5*m + 5. Let b(q) = -5*q**2 + 6*q + 6. Let t(d) = 6*a(d) - 5*b(d). Give r(t(k)).
-3*k**4
Suppose -4*t = -q - q + 2, 2*q = t + 2. Let l(x) = -4*x + t*x + 3*x + 0*x. Let a(v) = -1544*v - 1556*v + 3091*v. Give l(a(b)).
9*b
Let m(h) = -5643810 + 5643810 + h. Let r(s) = 2*s**2 - 22*s. What is r(m(o))?
2*o**2 - 22*o
Let h(r) = -7*r. Let q(x) = -6*x. Let s = 14 + -14. Let t be (-2 - s) + 4/(-2). Let i(z) = t*h(z) + 5*q(z). Let y(g) = 8*g**2. Determine y(i(w)).
32*w**2
Let i(s) = s. Let m(a) = a**2 - a - 1. Let y be 4/(-26) - (-912)/13. Let x be y/(-56) - 1/(-4). Let k(u) = -u - 1. Let l(r) = x*k(r) + m(r). Determine i(l(o)).
o**2
Let c(z) = 24348*z. Let u(i) = 8*i**2. Calculate c(u(g)).
194784*g**2
Let a(n) be the second derivative of -1/3*n**3 + 0 + 0*n**2 + n. Let h(i) = 2*i - 51. Give h(a(z)).
-4*z - 51
Let w(h) = h. Let x(j) = -2*j**3 - 4*j + 3*j**3 - 2 - 2*j**3 - 3*j**2. Let l be x(-3). Let y(z) = -10 - l + z + 20. Calculate y(w(n)).
n
Let z(y) = 3*y - 18. Let i(a) = -a + 3. Let o(v) = -6*i(v) - z(v). Let q(f) = 53*f. Give q(o(k)).
159*k