he third derivative of u**4/24 + u**3/6 - 3*u**2. Let h(m) = -6*m - 3. Give o*l(t) + h(t).
-3*t
Let q(r) = 14*r - 1 + 15*r**2 - 4 + r**3 - 2. Let b be q(-14). Let f(u) = 5*u**2 - 11*u - 5. Let z(d) = 3*d**2 - 6*d - 3. Give b*z(t) + 4*f(t).
-t**2 - 2*t + 1
Let v(b) = 5*b - 6. Suppose 5 = 2*q - 7. Let a(d) be the second derivative of -d**3 - d + 0 + 7/2*d**2. What is q*a(c) + 7*v(c)?
-c
Let q be (-2)/6*(-5 + 11). Let r(d) = -21*d + 8. Let v(g) = -5*g + 2. Give q*r(b) + 9*v(b).
-3*b + 2
Let x(f) = -f**3 - 1. Let k(t) be the first derivative of -3*t**4/2 - t**3/3 - 6*t + 8. Suppose -9 = 3*m - 42. What is m*x(p) - 2*k(p)?
p**3 + 2*p**2 + 1
Let q(a) = a**3 + 6*a**2. Let r(b) = 4*b**3 + 17*b**2. Determine -17*q(d) + 6*r(d).
7*d**3
Let p(n) = -n - 1. Let v(f) = 6*f + 3. Let t = -45 - -51. What is t*p(y) + 2*v(y)?
6*y
Let k(o) = 18*o + 4. Let i(q) = -19*q - 5. Determine 5*i(g) + 6*k(g).
13*g - 1
Let a(s) = 13*s**3 + 7*s**2 - 3*s - 10. Suppose -q - 3*q = -4*f - 36, -4*f - 31 = -3*q. Let v(z) = 9*z**3 + 5*z**2 - 2*z - 7. Determine q*a(k) - 7*v(k).
2*k**3 - k - 1
Let b(a) be the first derivative of 1/3*a**3 + 1 + 0*a - 1/2*a**2. Let z(f) = -4*f**2 + 4*f. Give 5*b(i) + z(i).
i**2 - i
Let l = -10 - -16. Let i be (0 - 2)/(-1) - 1. Let v = 0 - i. Let d(w) = 7*w - 7. Let m(x) = x - 1. Calculate l*m(n) + v*d(n).
-n + 1
Suppose 24*i = 25*i + 17. Let z(o) = -2*o - 2. Let d(s) = -6*s - 6. Determine i*z(l) + 6*d(l).
-2*l - 2
Let o = -1 + 4. Let k(h) = -4*h**3 + 3*h**2. Let t = -1 + 4. Let b(d) = 5*d**3 + 16*d - t*d**2 - 16*d - d**2. Give o*b(y) + 4*k(y).
-y**3
Let a(r) = r. Let q(v) = 15*v + 2. What is -4*a(t) + q(t)?
11*t + 2
Let p(c) = -69*c**2 + 8*c + 8. Let l(m) = 23*m**2 - 3*m - 3. Calculate 8*l(s) + 3*p(s).
-23*s**2
Let d(l) = 7 + 7*l - 3 - 4. Let p(t) = -34*t. Give 14*d(s) + 3*p(s).
-4*s
Let u(f) = -65*f + 1. Let p(c) = 64*c. What is 3*p(r) + 2*u(r)?
62*r + 2
Let t(a) = a. Let r be -5 + 2 - (-3 + -1). Let g(x) = 3*x - 2. Determine r*g(u) - 5*t(u).
-2*u - 2
Let v(c) = -163*c**3 + 7*c**2 + 7*c - 7. Let x(d) = 109*d**3 - 5*d**2 - 5*d + 5. Give 5*v(n) + 7*x(n).
-52*n**3
Let y(c) = c**3 - 5*c**2 - 2*c - 7. Let h be y(6). Suppose 0 = -5*x + 2 - h. Let p(z) = -2*z**3 + z**2 + 2. Let j(r) = -4*r**3 + r**2 + 4. Give x*j(t) + 5*p(t).
2*t**3 + 2*t**2 - 2
Let y(f) = -3*f**3 - 5*f**2 - 5*f + 3. Let u(c) = 2*c**3 + 4*c**2 + 4*c - 2. Suppose 15 = 12*i - 9*i. What is i*u(t) + 4*y(t)?
-2*t**3 + 2
Let r(l) = l - 3. Let n be r(6). Let t(o) be the first derivative of -n + 2 + 3*o**2 + 0*o**2 + 4*o. Let m(u) = 5*u + 3. What is 5*m(f) - 4*t(f)?
f - 1
Let h(w) = 19*w - 19. Let a(i) = i**3 - i + 1. Determine -19*a(z) - h(z).
-19*z**3
Let v(n) = -31*n**2 - 2*n + 2. Let o(c) = -15*c**2 - c + 1. Calculate 5*o(y) - 3*v(y).
18*y**2 + y - 1
Let u(o) = 8*o. Let h(f) = -12*f. What is -5*h(l) - 7*u(l)?
4*l
Let j(l) = 10*l. Let h(u) = -39*u. Determine 3*h(i) + 13*j(i).
13*i
Let n(b) = -b**3 + b**2 - 1. Let s = -2/25 + 29/50. Let j(v) be the first derivative of -2/3*v**3 + v**4 - s*v**2 + 2*v - 2. Give j(g) + 2*n(g).
2*g**3 - g
Let b be (-1)/(-1*5/(-25)). Let p(w) = -7*w**2 + 5. Let d(m) = 3*m**2 + 2 - 4 + 0. Give b*d(f) - 2*p(f).
-f**2
Let s = -9 + 20. Let d(n) = -n**2 + 2*n + 2. Suppose g = -3*g + 8. Let b(o) = -20*o**2 - 11 - 11*o + 44*o**2 - 18*o**2. Determine g*b(m) + s*d(m).
m**2
Let f(w) be the first derivative of 3*w**2/2 - 5*w + 1. Let l(g) = 4*g - 8. Give 8*f(v) - 5*l(v).
4*v
Let y(a) = -a**3 - 2*a**2 - 2*a. Let z(i) = 2*i**2 - 11*i. Let o(h) = h**2 - 6*h. Let p(m) = -11*o(m) + 6*z(m). Calculate -3*p(c) - y(c).
c**3 - c**2 + 2*c
Let o(v) = 3*v**2 + 17*v + 9. Let y(s) = -s**2 - 6*s - 3. What is -6*o(c) - 17*y(c)?
-c**2 - 3
Let y(a) = 13*a**2 + 15*a - 9. Let i(t) be the first derivative of -7*t**3/3 - 4*t**2 + 5*t - 4. What is 11*i(u) + 6*y(u)?
u**2 + 2*u + 1
Let g(w) = -w**3 + w**2 - 12*w. Let n(o) = o**3 - o**2 - o. Give g(a) + 2*n(a).
a**3 - a**2 - 14*a
Let h(k) = k**2 + k + 1. Let c(x) = 2*x**3 - 11*x**2. Let l(p) = -p**2 + p + 1. Let g(y) = c(y) - 5*l(y). Give g(t) + 5*h(t).
2*t**3 - t**2
Let v(a) = -9*a**2 - 2*a. Let g(z) = -44*z**2 - 11*z. Calculate -2*g(c) + 11*v(c).
-11*c**2
Let s(f) = 4*f**2 + 2*f + 2. Let r(z) = -11*z**2 - 7*z - 7. Determine 6*r(k) + 21*s(k).
18*k**2
Let b(u) = -u**3 + 13*u**2 - 4*u - 7. Let d(s) = 5*s**2 - s - 2. Let q(l) = 3*b(l) - 8*d(l). Let n(y) = -2*y**3 - 2*y - 3. What is 5*n(w) - 3*q(w)?
-w**3 + 3*w**2 + 2*w
Suppose -6 = 2*c + 4. Let r(g) be the second derivative of -2*g - 7/6*g**3 + 0*g**2 - 1/3*g**4 + 0. Let q(s) = -3*s**2 - 6*s. Calculate c*r(d) + 6*q(d).
2*d**2 - d
Let t(b) = 10*b**2 - 16*b - 16. Let d = 52 + -36. Let n(v) = -3 - 3*v + 2*v**2 - 2*v + 2*v. Determine d*n(j) - 3*t(j).
2*j**2
Let z(o) = 3*o + 4. Let u(w) = -w - 1. What is -14*u(b) - 4*z(b)?
2*b - 2
Let t(x) = -x**2 + 6*x. Suppose -c - 1 + 0 = 0. Let a(m) = -m. Suppose 2*f - 3 = d - 20, -5*f = 2*d + 20. Determine c*t(z) + f*a(z).
z**2
Let c(m) = 55*m - 45. Let o(f) = 5*f - 4. Give 4*c(v) - 45*o(v).
-5*v
Let f(i) = -i**3 + i**2 - 1. Let p(d) be the second derivative of -d**4/12 + d**2/2 + 7*d. Give f(s) + p(s).
-s**3
Let x(l) = l**3 + 15*l - 2 - 6*l + 4. Let m(q) = -q**3 - 8*q - 2. Determine 7*m(b) + 6*x(b).
-b**3 - 2*b - 2
Let w(q) = -2*q**3 - 5*q**2 - 5. Let d be (-2)/(-8)*(10 - -2). Let b(h) = h**3 + 3*h**2 + 3. Calculate d*w(m) + 5*b(m).
-m**3
Let y(f) = -2*f + 2. Let w(u) = -5*u + 5. Suppose o + 16 = 5*o. Suppose -30 = -2*q + 2*m + 2*m, 0 = o*q + 4*m - 36. Calculate q*y(r) - 4*w(r).
-2*r + 2
Suppose -v = 2*v - 15. Let q(w) = -2*w + 7. Let j(x) = -1. Let k(m) = m + 7. Let s be k(-6). Give s*q(u) + v*j(u).
-2*u + 2
Let w(v) = 4*v - 18. Suppose 0*t = -5*t + 30. Let m be w(t). Let g(x) = 2*x - 3. Let l(f) = 7*f - 11. Determine m*l(y) - 22*g(y).
-2*y
Let x = 15 + -10. Let v(q) = 4*q + 4. Let c(h) = -6*h - 6. Calculate x*c(t) + 8*v(t).
2*t + 2
Let f(q) = -6*q**2 - 5*q. Let g(a) = -6*a**2 - 6*a. Let x(y) = 3*f(y) - 2*g(y). Let v(h) = h**2 + h. Let o be (1 - 0)*2/2. Calculate o*x(c) + 3*v(c).
-3*c**2
Let f(d) = d**2 + d - 1 + 3 - 3. Let t(y) = 4*y**2 + 5*y - 4. Let v = 15 + -20. Give v*f(x) + t(x).
-x**2 + 1
Let s(t) = 7*t**2 + 14*t - 2. Let m(f) = 22*f**2 + 42*f - 6. Determine 5*m(c) - 16*s(c).
-2*c**2 - 14*c + 2
Let y(r) = -5*r - 1. Suppose -2*d = -5*p + d - 2, 20 = 2*p + 4*d. Let b be (0 - p)*3/2. Let g(h) = -6*h - 2. What is b*g(u) + 4*y(u)?
-2*u + 2
Let k(o) = -o - 1. Let b(f) = 10*f + 4 + f - 6*f. Let w(a) be the second derivative of -a**3/3 + 2*a**2 + 2*a. Let u be w(5). What is u*k(t) - b(t)?
t + 2
Let i(j) = 2*j**2 - 2*j + 1. Let h be i(1). Let n be h/((-1)/5)*1. Let m(q) = -2 - q + 8 + 1 - 6*q**2. Let o(x) = -5*x**2 - x + 6. What is n*o(w) + 4*m(w)?
w**2 + w - 2
Let q(s) = 14*s**3 - 23*s**2 + 6*s + 8. Let a(x) = -5*x**3 + 8*x**2 - 2*x - 3. Determine 11*a(f) + 4*q(f).
f**3 - 4*f**2 + 2*f - 1
Let h(c) = 114*c**3 + 16*c**2 + 16*c. Let s(d) = -38*d**3 - 5*d**2 - 5*d. What is 5*h(f) + 16*s(f)?
-38*f**3
Let u(g) = 13*g + 7. Let x(k) = 84 - 79 + 2*k + 4*k + 3*k. Give 5*u(o) - 7*x(o).
2*o
Let r(u) = -u. Suppose -2*c - 2*c = -20. Let n = 3 - c. Let d(b) = -4*b + 1. Calculate n*r(k) + d(k).
-2*k + 1
Let t(f) = -9*f - 2. Let c(k) = -26*k - 6. Give -2*c(x) + 7*t(x).
-11*x - 2
Let z(l) = l + 2. Let g(i) = -2*i - 3. Give 2*g(w) + 3*z(w).
-w
Let g(i) = -10*i**3 - 6*i**2 - 6. Let n(l) = -9*l**3 - 5*l**2 - 5. Determine -4*g(m) + 5*n(m).
-5*m**3 - m**2 - 1
Let m(g) = -23*g**2 + 17. Let l(q) = -4*q**2 + 3. Suppose -2*p - 2*p = 24. Determine p*m(c) + 34*l(c).
2*c**2
Let u(p) = -5*p + 6. Let f(k) = -9*k + 11. What is -3*f(s) + 5*u(s)?
2*s - 3
Let c(s) = s + 1. Let t = -19 + 15. Let q(d) = 5*d + 7. Give t*c(o) + q(o).
o + 3
Let d(r) = r - 1. Let g(n) = 12*n - 2. What is -5*d(o) + g(o)?
7*o + 3
Let g(x) = -2*x**2 - 6*x + 6. Let y(z) be the first derivative of -z**2/2 + 10*z - 4. Let c be y(11). Let q(d) = d - 1. What is c*g(t) - 6*q(t)?
2*t**2
Let r(a) = 2*a + 18. Let c(v) = -3*v - 18. Calculate 4*c(g) + 5*r(g).
-2*g + 18
Let z(w) = 5*w. Let i(k) be the third derivative of 0*k - 1/24*k**4 + 0 + 0*k**3 - 4*k**2. Determine -3*i(o) - z(o).
-2*o
Let j(f) = 4*f - 5. Suppose -2*q = 26 - 32. Let c(u) = 2*u - 3. Calculate q*j(k) - 5*c(k).
2*k
Let f(u) = 2*u + 270 - 10*u - 2*u**2 - 262. Let i(j) = -j**2 