- 1
Let h(a) = 3154*a + 2. Let u(x) = -5*x + 12. What is u(h(s))?
-15770*s + 2
Let h(f) be the second derivative of 1/6*f**3 + 0 + 0*f**2 - 3*f. Let w(j) = 3*j + 0*j + 0*j + 8*j. Determine h(w(s)).
11*s
Let m(p) = -p**3 - 10*p**2 + p + 10. Let s be m(-10). Let g(t) = 2 - 6*t + s - 2. Let j(a) = -a. Calculate g(j(k)).
6*k
Let g(n) = n + 1. Let a(i) = -5*i**2 + 59*i - 6. Let w(z) = -a(z) - 6*g(z). Let q(m) = m. Let v(x) = -390*q(x) - 6*w(x). Let k(d) = d. Determine v(k(s)).
-30*s**2
Let g(d) = -3*d**2 - 3*d + 3. Let l(k) = -k**2 + k - 1. Let z(s) = g(s) + 3*l(s). Let n(c) = c. What is n(z(o))?
-6*o**2
Let j(q) = 12*q - 39*q + 9*q + 13*q. Let h(p) be the second derivative of -p**3/3 + p. Give j(h(y)).
10*y
Let m(n) be the second derivative of -n**3/6 - 86*n. Let q(g) = -84*g**2. Give q(m(i)).
-84*i**2
Let o(n) = 10*n. Suppose 3*x - x = 4. Suppose x - 6 = -2*g. Let y(l) = -l**2 - 2*l**2 + 4*l**g. Calculate o(y(w)).
10*w**2
Let v(l) = -7*l + 7*l - 3*l. Suppose -5*t - 21 = -1. Let c(u) = -u. Let g(d) = t*c(d) + v(d). Let o(n) = -n**2. Calculate o(g(f)).
-f**2
Let i(u) be the third derivative of 13*u**7/1680 + 107*u**5/60 - 34*u**2. Let a(z) be the third derivative of i(z). Let n(o) = 2 + 2*o - 2. What is n(a(x))?
78*x
Let p(n) = 19*n. Let z(h) = 22*h. Let w(r) = 5*p(r) - 4*z(r). Let o(j) be the second derivative of -j**3/6 + j. What is w(o(s))?
-7*s
Let j(b) = 11*b. Let q(s) = s**2 + 2. Suppose 3*o + 0*o = -6. Let m be q(o). Let d(h) = m*h + 2 - 5*h - 2. Determine d(j(n)).
11*n
Let r(l) be the second derivative of -83*l**4/4 - l**2 - l + 67. Let i(u) = -2*u**2. Determine i(r(o)).
-124002*o**4 - 1992*o**2 - 8
Let g(d) = -96*d**2. Let b(c) be the second derivative of 2*c**3/3 - 2*c - 159. What is b(g(t))?
-384*t**2
Let i(o) = 902*o + 11 + 901*o - o**2 - 1803*o + 12. Let a(f) = -8*f**2. What is a(i(n))?
-8*n**4 + 368*n**2 - 4232
Let m(p) = -p**2. Let k(q) = -2*q - 2*q**2 - 28*q - 11*q. Determine k(m(f)).
-2*f**4 + 41*f**2
Let p(u) be the third derivative of 0 + 0*u**3 - 15*u**2 + 0*u + 0*u**4 - 2/15*u**5. Let t(a) = -a**2. Determine p(t(f)).
-8*f**4
Let i(j) = -5*j. Let n(h) = 19*h**2 - 459*h - 455*h + 914*h. Give n(i(k)).
475*k**2
Let y be -3*((-6)/9 - 0). Let h(a) = 16*a**y + 11*a**2 - 46*a**2. Let g(q) = -q. Determine g(h(f)).
19*f**2
Let k(w) be the second derivative of -11*w**3/6 - 41*w. Let s(d) = -10*d**2. Give s(k(p)).
-1210*p**2
Let p be 3 + (5 - (-4 - -8)). Let w(i) = p + 13*i**2 - 1 - 3. Let r(q) = -1 + 1 - q. Calculate r(w(m)).
-13*m**2
Let q(s) be the third derivative of s**4/6 + s**2. Let k be 6 + -6 - (-4)/2. Let o(i) = -i**2 - 7. Let u(y) = 2. Let b(r) = k*o(r) + 7*u(r). Give b(q(x)).
-32*x**2
Suppose -5*v + 2*v = 0. Let g(f) = -f + v + 0. Let w(a) = a**2 + 9 - 5*a**2 - 9 + 7*a**2. Determine w(g(o)).
3*o**2
Let t(m) = -m**2. Let c(o) be the first derivative of 5*o**3/3 - 6*o + 534. Determine c(t(n)).
5*n**4 - 6
Let n(k) = -4200*k**2. Let t(z) = 4*z**2. Calculate t(n(l)).
70560000*l**4
Suppose -7*s = -3*s. Let p(t) = -6*t + s*t + 3*t. Let n(f) = 10*f. Calculate p(n(u)).
-30*u
Let d(n) = 40*n - 42*n + 0*n. Let v(z) = 17*z**2 - 2*z. What is v(d(s))?
68*s**2 + 4*s
Suppose 3*n - 2*l = -38, 0 = 4*n + 2*l + 82 - 8. Let t = -12 - n. Let r(g) = t*g - 3 + 3. Let p(b) = b**2. Give r(p(z)).
4*z**2
Let d(n) = -6*n - 18. Let y(x) = -x + 4. What is y(d(v))?
6*v + 22
Let i(t) be the first derivative of 7*t**3/3 + 9. Let w(l) = -7*l**2 + 18*l**2 - 12*l**2. What is w(i(u))?
-49*u**4
Let t(w) be the third derivative of w**4/12 - 3*w**2 + 1. Let n(u) = -13*u**2 + 6*u. Give n(t(k)).
-52*k**2 + 12*k
Let v(f) = -7*f - 5310. Let s(g) = -g. Calculate v(s(n)).
7*n - 5310
Let o(c) be the first derivative of c**2 + 102. Let v(a) = -657*a. Determine o(v(y)).
-1314*y
Let w(h) = 6007*h**2. Let q(t) = 24*t. Give q(w(a)).
144168*a**2
Let w(x) be the second derivative of x**3/6 - 1957*x**2/2 - 11*x - 4. Let u(f) = 2*f. Give u(w(n)).
2*n - 3914
Let v(d) = 12 - d + 3*d - 12. Let z(h) be the first derivative of -h**2 - 1. What is v(z(g))?
-4*g
Suppose 5*u + 28 = 38. Let t(c) be the third derivative of 0*c**3 + 7/24*c**4 + 0 + 0*c + 5*c**u. Let b(w) = -2*w**2. Determine t(b(j)).
-14*j**2
Let y(s) = -19*s + 3. Let o(f) = -9*f + 2. Let j(a) = 11*o(a) - 6*y(a). Let d(t) = 796*t - 1598*t + 800*t. What is d(j(c))?
-30*c - 8
Let d(c) = c**2. Let t(x) = x + 75888. Calculate d(t(y)).
y**2 + 151776*y + 5758988544
Let y(a) = -6*a. Let b(l) be the third derivative of 0 + 0*l**4 + 0*l**3 + 0*l + 1/60*l**5 - 19*l**2. What is y(b(j))?
-6*j**2
Let a(j) = -49*j**2 + j - 31. Let w(m) = -m**2. What is a(w(t))?
-49*t**4 - t**2 - 31
Let s(x) = -x - 92. Let i(k) = -22*k**2 + 12. Determine s(i(z)).
22*z**2 - 104
Suppose 2*j = 5*w - 5, -3*w + 13*j = 9*j + 11. Let p(c) = 8*c**2 + 2*c**2 + 6*c**2 - w*c**2. Let a(x) = -2*x. Determine p(a(m)).
52*m**2
Let c(y) = -2885*y. Let n(b) = 29*b. Determine n(c(a)).
-83665*a
Let l(n) = 8*n + 2. Let w(y) = 57*y + 15. Let m(q) = -30*l(q) + 4*w(q). Let a(g) = 3*g. What is a(m(o))?
-36*o
Let l(i) be the third derivative of i**5/30 + 13*i**2. Let d(h) = -11*h**2 - 1 + 1. Let j(f) = -6*d(f) - 34*l(f). Let r(c) = -6*c. Calculate j(r(y)).
-72*y**2
Let m(c) = 433*c**2. Let f(d) = -36*d - 2. Give m(f(k)).
561168*k**2 + 62352*k + 1732
Let i(q) = q**2 - 3. Let y(l) = 14*l**2 - 39. Let s(d) = -78*i(d) + 6*y(d). Let z(o) = 3. Let n(v) = v**2 - 1. Let g(c) = 3*n(c) + z(c). Calculate g(s(w)).
108*w**4
Let q(x) be the third derivative of -x**5/30 + 9*x**2. Let b(z) be the third derivative of -23*z**4/12 + 46*z**2. Give q(b(l)).
-4232*l**2
Let s(q) = -q**2 - 13*q - 12. Let b(t) = 3*t + 3. Let g(a) = 4*b(a) + s(a). Let w(z) = -4*z. Give g(w(d)).
-16*d**2 + 4*d
Let r(t) = -2*t**2. Let v(w) = 5 + 5 + 13*w - 10 - 2*w**2. Give v(r(k)).
-8*k**4 - 26*k**2
Let r(y) = 2*y**2. Let l(s) = -49*s + 10. Let u(n) = 48*n - 12. Let t(c) = -6*l(c) - 5*u(c). What is r(t(o))?
5832*o**2
Let u(q) = 8*q**2. Let w(y) = 10*y**2 - 12*y**2 + 5*y**2. Determine w(u(m)).
192*m**4
Let d(v) = 6*v**2 + 4*v. Let o(s) = 10317*s**2. Give d(o(t)).
638642934*t**4 + 41268*t**2
Let w(t) = -9*t. Let g(r) be the third derivative of -r**5/30 + 24*r**2 + r. Calculate w(g(j)).
18*j**2
Let x(c) = -8*c**2 - 2. Let y(o) = -10*o**2 - 3. Let b(q) = -3*x(q) + 2*y(q). Let l(d) be the first derivative of -d**3/3 - 1. Calculate b(l(i)).
4*i**4
Let d(i) be the first derivative of -i**4/12 - i + 5. Let m(v) be the first derivative of d(v). Let n(t) = t - 3*t + 4*t. Determine n(m(h)).
-2*h**2
Let s(o) = -o. Let g(u) = 777033*u. Give s(g(r)).
-777033*r
Suppose -8 = -2*c + a, -4*a - 10 = -2*c + 5*c. Suppose 3*u - 6 = -0*u. Let r(w) = -3*w + 5*w - 5*w**u - c*w. Let t(p) = 3*p**2. Give r(t(m)).
-45*m**4
Let a(k) = k**2 + k - 412. Let p(d) = -14*d. What is a(p(l))?
196*l**2 - 14*l - 412
Let t(d) = -2*d. Let a(v) = -2*v**3 - 2*v**2 + 2*v + 4. Let i be a(-2). Let y(x) = 0*x - 18*x + i*x. Calculate y(t(z)).
20*z
Let s(x) = 13*x**2 + 5*x - 5. Let q(y) = -36*y**2 - 14*y + 14. Let r(m) = -5*q(m) - 14*s(m). Let b(u) = -457*u**2 - 1. Determine b(r(c)).
-1828*c**4 - 1
Suppose 0 = 3*r - 0*i - 5*i - 63, -4*r + 119 = 5*i. Let v(m) = m + 14 - r + 12. Let t(g) = -6*g**2. Calculate v(t(y)).
-6*y**2
Let m(h) = 18*h**2. Let j = -28 + 20. Let z be -7*20/j*6. Let u(c) = -z + 2*c + 105. What is u(m(f))?
36*f**2
Let o(u) = -12*u**2. Let m(c) be the third derivative of 3*c**5/20 - c**2 - 22*c. Determine m(o(k)).
1296*k**4
Let z(p) = 11*p. Suppose -3*r + 54 = r - h, 0 = -5*r - 5*h + 80. Let x(m) = r*m - 14*m - m**2. What is z(x(n))?
-11*n**2
Suppose 5*y - y - 68 = 0. Let p(x) = 11*x**2 - 17*x. Let m(l) = -4*l**2 + 6*l. Let d(g) = y*m(g) + 6*p(g). Let b(f) = -18*f**2. Determine b(d(s)).
-72*s**4
Let r(j) = 29*j - 164. Let v be r(6). Let w(i) be the second derivative of 0*i**2 + 0*i**3 - v*i + 0 - 1/6*i**4. Let d(m) = -2*m**2. What is d(w(l))?
-8*l**4
Let g(c) be the first derivative of -2*c**2 + 0*c + 0*c**4 + 1/30*c**5 + 0*c**3 - 3. Let y(i) be the second derivative of g(i). Let f(x) = -x**2. Give y(f(w)).
2*w**4
Let s(b) = -b. Let a be 115/35 - (-4)/(-14). Let k(v) = 7*v**2 - 4*v + v + a*v. Determine k(s(d)).
7*d**2
Let y(g) = 2*g. Let m(u) = -86*u**2 - 5*u - 4. Let j(b) = -43*b**2 - 2*b - 1. Let a(o) = 5*j(o) - 2*m(o). What is y(a(c))?
-86*c**2 + 6
Let l