4
Let p(g) = -12*g. Let s(f) be the third derivative of 2*f**5/15 + 3*f**2 - 2. What is p(s(w))?
-96*w**2
Let x(q) = -13*q. Let u(i) be the first derivative of -i**5/40 + 16*i**3/3 - 19. Let g(d) be the third derivative of u(d). Determine g(x(f)).
39*f
Let w(k) be the third derivative of -k**4/24 - k**2. Let m(i) be the first derivative of 0*i + 0*i**2 - 75 - 2/3*i**3. Determine w(m(l)).
2*l**2
Let l(z) = 3*z. Let a(f) = -25339*f. Give l(a(s)).
-76017*s
Let m(n) = 5*n**2. Let o(c) = 6*c - 4. Let b(l) = -17*l + 11. Let z(q) = -4*b(q) - 11*o(q). What is z(m(r))?
10*r**2
Let q(f) = -606*f**2 + 69*f - 4. Let b(g) = -g. Give q(b(z)).
-606*z**2 - 69*z - 4
Let q(k) be the third derivative of -5*k**4/12 - 96*k**2. Let a(b) = -b**2 + 0*b**2 - b**2 - 3*b**2. Calculate q(a(m)).
50*m**2
Let q(p) = -86*p - 1. Let s(c) = -43*c + 17. What is s(q(v))?
3698*v + 60
Let c(y) = 4*y - 6*y - 4*y - 2*y. Let r(h) be the second derivative of h**5/30 - 8*h**2 + 16*h. Let k(a) be the first derivative of r(a). What is c(k(l))?
-16*l**2
Let s(j) = 2*j + 7. Let c(l) = l + 4. Let x(t) = 7*c(t) - 4*s(t). Let u(r) = -7*r**2 + 2*r**2 + r**2. Give u(x(b)).
-4*b**2
Let x(a) = 4*a. Let s(u) be the third derivative of 5*u**4/24 - u**3 + 210*u**2. Determine x(s(d)).
20*d - 24
Let m(w) = -2*w**2. Suppose 0 = -s + 4*s - 42. Let h be 0 + 1 + (s - 14). Let j(v) = v. Let g(i) = i. Let a(b) = h*g(b) - 6*j(b). What is m(a(y))?
-50*y**2
Let l(v) = 121466*v**2. Let h(s) = 2*s**2. Determine h(l(q)).
29507978312*q**4
Let y(b) = 11*b - 1. Let t(w) = -27525*w. Determine y(t(m)).
-302775*m - 1
Let q(h) = 20*h**2 - 137*h**2 + 3 - 3. Let m(b) = b. Give m(q(v)).
-117*v**2
Let c(p) = 15*p. Let b(m) = 16*m - m - 13*m + m. Calculate c(b(a)).
45*a
Suppose 143 = 3*x - 130. Let g(j) = -35*j - 25*j - 33*j + x*j. Let f(w) = 4*w**2 - 4. Determine f(g(p)).
16*p**2 - 4
Let v(u) = u. Let y(n) = 2*n - 13. Let b(w) = 2*w + 9. Let d(i) = 21 - 13 - i + 2*i. Let f(s) = -2*b(s) + 3*d(s). Let c(j) = -13*f(j) - 6*y(j). What is v(c(o))?
o
Let t(s) = -9*s**2 + 33. Let z(v) = -v**2 + 4. Let k(l) = 4*t(l) - 33*z(l). Let o(a) = -a + 11. Calculate o(k(q)).
3*q**2 + 11
Let q(h) = 29*h. Let i(c) = 1376*c**2. Determine i(q(o)).
1157216*o**2
Let c(f) be the first derivative of 0 - f**3 + 7*f**3 - 4 - 3. Let m(g) = g. What is m(c(h))?
18*h**2
Let o(a) = 132*a + 664. Let x(c) = -c**2. What is o(x(k))?
-132*k**2 + 664
Let p(c) = -6*c. Let k be 8/(-12) - 14/(-3). Let u(f) = 2*f + 3. Let d(w) = -w - 2. Suppose -4 = -4*a + 20. Let y(t) = a*d(t) + k*u(t). What is y(p(x))?
-12*x
Let y(r) = -6869361*r**2. Let q(c) = -2*c. Calculate q(y(b)).
13738722*b**2
Let l(r) = -41*r. Let j(s) = -3870*s. What is l(j(t))?
158670*t
Let v(t) be the third derivative of 11*t**2 + 5/6*t**4 + 0 + 0*t + 0*t**3. Let u(m) = -2*m. Determine v(u(z)).
-40*z
Let n(m) = -m - 19. Let g(v) be the second derivative of v**3/2 + 5*v + 2. Calculate g(n(q)).
-3*q - 57
Let l(p) be the third derivative of 0*p**3 - 17*p**2 + 0 + 0*p - 1/12*p**4. Let d(o) = o + o + 4*o. Give l(d(a)).
-12*a
Suppose -3*c + 2*n + 126 = 2*c, -5*c + 138 = 4*n. Let p = 15 - -11. Let t(l) = -c + p - l. Let m(f) = 2*f**2. Give t(m(i)).
-2*i**2
Let o(l) = -29*l - 4222. Let c(m) = m. What is o(c(x))?
-29*x - 4222
Let w(f) = 3*f**2 - f + 16883. Let p(u) = 3*u**2. Calculate w(p(y)).
27*y**4 - 3*y**2 + 16883
Let h(q) = -18*q**2 + 6*q + 6. Let t(v) = 17*v**2 - 5*v - 5. Let u(f) = -5*h(f) - 6*t(f). Let g(i) = -2*i + 14*i - 8*i - 3*i. Determine g(u(o)).
-12*o**2
Let d(c) be the second derivative of -c**5/60 - 6*c**2 + c. Let g(z) be the first derivative of d(z). Let n(w) = 24*w. Calculate n(g(l)).
-24*l**2
Let o(y) = -104*y + 17. Let b(t) = 34*t - 6. Let j(z) = -17*b(z) - 6*o(z). Let m(i) = 8*i**2. Give j(m(u)).
368*u**2
Let b(j) = 4*j**2. Let h(q) = 8*q**2 - q. Let f be h(-1). Let d = f + -7. Let z(i) = i + d*i + i - i. What is z(b(o))?
12*o**2
Let d(a) = -2*a**2. Let t(n) = -n**2 + 584. Determine d(t(f)).
-2*f**4 + 2336*f**2 - 682112
Let v(r) be the third derivative of -17*r**5/60 + r**4/6 + 15*r**2. Let w(z) = -z. Calculate w(v(h)).
17*h**2 - 4*h
Let p(q) = -19*q - 2. Let s(v) = -1560*v - 165. Suppose -2*b + 98 = -232. Let i(o) = b*p(o) - 2*s(o). Let d(k) = 2*k. Determine i(d(h)).
-30*h
Let o(r) be the third derivative of r**5/30 - 5*r**3 + 197*r**2. Let a(k) = k**2. Calculate a(o(c)).
4*c**4 - 120*c**2 + 900
Let v(q) = -2*q**2. Let x(o) = 2*o + 13489. Calculate x(v(d)).
-4*d**2 + 13489
Let q(j) = 9*j + 7*j + 0*j. Let i(p) = -5*p. Calculate q(i(m)).
-80*m
Let t(n) = -5*n**2. Let g(y) = 319529*y**2. Give t(g(s)).
-510493909205*s**4
Let h(q) = 517*q. Let a(m) = -22*m**2. Give h(a(w)).
-11374*w**2
Let c(y) = 17*y + 24*y - 57*y + 18*y. Let w(p) be the second derivative of p**7/504 + p**4/4 - 3*p. Let n(r) be the third derivative of w(r). Determine n(c(x)).
20*x**2
Let r(b) = -5*b. Let m(f) = -f**2 + 9705*f - 2. Give r(m(k)).
5*k**2 - 48525*k + 10
Let k(w) be the third derivative of -3*w**4/4 + w**2 + 106*w. Let p(t) = 11*t. What is p(k(h))?
-198*h
Let u(g) = -3*g**2. Let y(x) = -20*x**2 + 162*x. Give y(u(j)).
-180*j**4 - 486*j**2
Let q(m) be the second derivative of 59*m**3/3 + 144*m. Let y(u) = -u. What is q(y(f))?
-118*f
Let d(p) = -3*p. Let t(g) = -19*g**2 - 76. Let i(b) = -2*b**2 + 1. Let u(j) = 76*i(j) + t(j). What is u(d(q))?
-1539*q**2
Let b(j) = 2*j**2. Let a(g) = -4*g. Let s = 35 - 45. Let v(y) = y - 6*y - 4*y. Let r(m) = s*a(m) + 4*v(m). Determine r(b(t)).
8*t**2
Let j be (3 - -2)/1 - 2. Let o(x) = 9*x - j*x - 9*x. Let m(b) = -14*b**2. Determine m(o(z)).
-126*z**2
Let v(q) = -2*q. Let f(r) = -251761*r. Give v(f(n)).
503522*n
Let z(w) = -36*w**2 + 79*w. Let m(a) = 8*a**2. Determine z(m(y)).
-2304*y**4 + 632*y**2
Let k(b) = -2*b - 1566. Let w(f) = 7*f**2 - 5. Calculate w(k(v)).
28*v**2 + 43848*v + 17166487
Let q(c) = 7*c**2 + 11*c. Let s(f) be the third derivative of f**5/30 + f**4/8 + 3*f**2. Let y(z) = -6*q(z) + 22*s(z). Let p(b) = -5*b. Calculate p(y(v)).
-10*v**2
Let y(x) = -x. Let c(i) = 13*i - 14*i + 6*i + 11*i + 29*i. Determine y(c(p)).
-45*p
Let c(s) = s - 3. Let f(b) = 2*b + 0 - 6 + 1. Let k(j) = -5*c(j) + 3*f(j). Let t(v) be the first derivative of -2*v**2 + 4. What is t(k(q))?
-4*q
Let m(z) = 27*z**2 + 4*z. Let s(o) = -7*o + 20. Let q(y) = -3*y + 8. Let c(g) = -5*q(g) + 2*s(g). Determine c(m(i)).
27*i**2 + 4*i
Let m(a) = -37*a**2. Let r(t) = -2*t**2 - 5. Suppose 0 = 2*z - 2*k, 3*k = -0*z - 5*z + 40. Let p(w) = w**2 + 2. Let c(d) = z*p(d) + 2*r(d). Calculate c(m(i)).
1369*i**4
Let m(a) = -33*a**2 + 112*a. Let d(h) = 4*h**2. Give m(d(y)).
-528*y**4 + 448*y**2
Let z(n) = -2*n**3 - 6*n**2 - 2*n + 9. Let y be z(-9). Let u(a) = -2*a + y - 999 + a. Let j(b) = 12*b. Calculate u(j(d)).
-12*d
Let l(a) = -41*a**2. Let t(h) be the third derivative of 0*h + 0*h**4 + 0 - 1/30*h**5 + 39*h**2 + 0*h**3. Determine t(l(f)).
-3362*f**4
Suppose -2*m = -3 - 5. Let w(k) = -m + k**2 - 3*k**2 + 4. Let b(q) = 20 - q - 20. Give w(b(c)).
-2*c**2
Let c(r) = 3*r. Let y(q) = -127241*q - 2. What is c(y(s))?
-381723*s - 6
Let y = -26 - -31. Let i(l) = 5*l - y + l + 5. Let z(w) = -4*w. Give z(i(v)).
-24*v
Let h(z) = 2*z**2. Let f be 4 + 3 + 2 + -9. Let l be (-8)/16*(0 - f). Let d(k) = 63*k**2 - 49*k**2 + l*k + 0*k. Give d(h(r)).
56*r**4
Suppose -4*h - 18 = -5*h. Let b(s) = s**3 + 4*s**2 + 2*s - 2. Let a be b(-2). Let x(f) = 37*f**2 - h*f**a - 10*f**2. Let d(c) = -2*c**2. Determine d(x(w)).
-162*w**4
Let n(m) be the third derivative of m**7/2520 - 17*m**4/24 + 17*m**2. Let k(a) be the second derivative of n(a). Let z(r) = 2*r**2. What is k(z(l))?
4*l**4
Let p(q) = -91211*q. Let s(n) = -3*n. What is p(s(r))?
273633*r
Let l(h) = 2*h. Suppose -2*j - 2*j = 2*d + 132, -4*d - 228 = -4*j. Let m be d/(-15)*6/8. Let f(n) = 0*n - n - m*n + 0*n. Determine f(l(s)).
-8*s
Let b(l) = -5*l + 5. Let i(s) = 8*s - 7. Let c(t) = 7*b(t) + 5*i(t). Let h(a) be the second derivative of 39*a + 1/3*a**3 + 0 + 0*a**2. What is c(h(y))?
10*y
Let y(o) = -20*o**2 + 67. Let i(b) = -12*b. Give i(y(t)).
240*t**2 - 804
Let n(i) = -2*i**2. Let g(o) = 18157*o. Determine g(n(p)).
-36314*p**2
Let a(k) = -k - 2892. Let f(d) = 2*d**2 - 16. Determine a(f(m)).
-2*m**2 - 2876
Let g(d) = -2*d**2 - 506*d + 2196. Let o(v) = v. Calculate o(g(t)).
-2*t**2 - 506*t + 2