 Determine f*w(g) - 3*k(g).
g
Let d(s) = -s - 1. Let w(y) = -5. Let o = 35 - 33. Suppose l - 3*l - 2*u - 6 = 0, 0 = -3*l - o*u - 7. Give l*w(k) + 4*d(k).
-4*k + 1
Let t(v) be the third derivative of -v**5/20 - v**4/6 + 5*v**3/6 + v**2 - 27*v. Let i(z) = -2*z**2 - 2*z + 3. Give -5*i(n) + 3*t(n).
n**2 - 2*n
Let o(y) = -5*y**3 - 4*y**2 - 78*y. Let x(m) = -m**3 - m**2 - m. Calculate o(t) - 3*x(t).
-2*t**3 - t**2 - 75*t
Let r(l) = 2*l - 4. Let a be 48/(-20)*(-10)/4. Let s(n) = 0 - 1 + 0. Determine a*s(v) - r(v).
-2*v - 2
Let o(l) = -83*l - 2. Let v(b) = -40*b - 1. What is -3*o(a) + 7*v(a)?
-31*a - 1
Let v(x) = 7*x**2 + 14*x + 1. Let t(s) = -11*s**2 - 22*s - 2. What is -5*t(f) - 8*v(f)?
-f**2 - 2*f + 2
Let i(s) = 2*s + 6. Let k(d) = -d**2 - 1. Give i(y) + 6*k(y).
-6*y**2 + 2*y
Let f(m) = 3*m**3 + 19*m. Let z(d) = d**3 + 19*d. Give -2*f(x) + 3*z(x).
-3*x**3 + 19*x
Let b(z) = -17*z + 8. Let i = 32 + -30. Let n(l) = -6 + 4*l + i + 1 + 1. Let g(j) = -j**2 + 6*j + 2. Let a be g(6). Determine a*b(f) + 9*n(f).
2*f - 2
Let u(d) = 2*d**3 + 3*d**2 + 35*d. Let y(n) = -5*n**3 - 7*n**2 - 70*n. Calculate 14*u(j) + 6*y(j).
-2*j**3 + 70*j
Let s(v) = -7*v**2 + 4*v - 234. Let j(p) = -2*p**2 + p. Give -4*j(q) + s(q).
q**2 - 234
Let i(o) = 6*o + 2. Let q(p) = -1. Let s(b) = -b + 4. Let k(a) = 5*q(a) + s(a). Determine i(d) + k(d).
5*d + 1
Let a(j) = -2*j**2 - 8*j. Let r(m) = -m**2 - 7*m. Give 3*a(n) - 4*r(n).
-2*n**2 + 4*n
Let g(f) = -95*f + 3. Let n(w) = -616*w + 20. Give 32*g(j) - 5*n(j).
40*j - 4
Let l(v) = v**3 + 2*v**2 - 8*v - 17. Let t be l(-3). Let i(b) = -1. Let f(h) = -5*h**2 - h + 2. Give t*i(y) - f(y).
5*y**2 + y
Let t(v) = v - 4. Let j(d) = -9*d + 33. Let k = 8 - 3. Suppose k*q + 3*q - 264 = 0. Determine q*t(m) + 4*j(m).
-3*m
Let g be 1/(-1)*-5 + 1. Let o(d) = 7*d**3 - 6*d**2 - d - 6. Let z(r) be the second derivative of -r**5/20 + r**4/12 + r**2/2 + 125*r - 2. Give g*z(t) + o(t).
t**3 - t
Let z(d) be the first derivative of 5*d**2/2 + 9*d + 19. Let x(y) = -2 + 2 + y + 2. Suppose 0 = m - 0*m - 9. Determine m*x(r) - 2*z(r).
-r
Let o(h) be the third derivative of h**6/120 + h**5/15 + h**4/12 + 2*h**3/3 + 13*h**2. Let n(k) = -4*k - 7*k**2 - 4 - 2*k**3 + k - 3. What is -4*n(v) - 7*o(v)?
v**3 - 2*v
Let v(b) = -b. Let z(r) be the third derivative of -5*r**4/12 - 52*r**2. Calculate -55*v(f) + 6*z(f).
-5*f
Let i(d) = 0*d - 5 + 81*d**3 - 95*d**3 - 8*d + 8*d**2 + 16*d**2 - 3. Let k(v) = -9*v**3 + 16*v**2 - 5*v - 5. Calculate 5*i(b) - 8*k(b).
2*b**3 - 8*b**2
Suppose -d = 2*n + 9, 4*d - 5 + 21 = -3*n. Let o be 22/4 - 1/2. Let a(z) = -z - 2. Let b(p) = 21*p + 29*p - 2 - 51*p. Calculate n*a(v) + o*b(v).
-v - 2
Let u(r) = 5*r**2 - 5*r - 2. Let t(g) = 9*g**2 - 8*g - 5. Calculate 3*t(s) - 5*u(s).
2*s**2 + s - 5
Let x(l) = -5*l**2 + 4*l. Let u(q) be the first derivative of -q**3/3 + q**2/2 + 1. Suppose 0 = -4*i + 5*g + 31, 4*g - 1 = -4*i - g. Give i*u(k) - x(k).
k**2
Let q(g) = 8*g + 1. Suppose 0 = 7*j - 11*j + 3*n - 28, -j + 3*n = 7. Let z(x) = -9*x - 1. What is j*q(s) - 6*z(s)?
-2*s - 1
Let v(a) = -a**2 - 2*a + 45. Let u be v(-8). Let i(y) = 2*y**2 - 2*y - 2. Let j(c) = 2*c**2 - 3*c - 2. Determine u*j(d) + 4*i(d).
2*d**2 + d - 2
Let b = -676 + 673. Let g(o) = 12*o**2 + 8. Let m = 13 + -21. Let k(q) = -4*q**2 - 3. What is b*g(s) + m*k(s)?
-4*s**2
Let p(d) = -17*d**3 - 2*d**2 + 2*d + 2. Let g(w) = 52*w**3 + 7*w**2 - 7*w - 7. What is -2*g(q) - 7*p(q)?
15*q**3
Let q(u) = 5*u + 48. Let j be q(-7). Let z(k) = 9 - j + 3. Let f(t) = 4*t - 6. Give f(x) - 4*z(x).
4*x - 2
Let f(x) = x**3 - 5*x**2 + 6*x + 3. Let m(h) = -h**3 + 4*h**2 - 5*h - 2. Let j be (1 + 1)/(3 + 5/(-2)). Give j*f(a) + 5*m(a).
-a**3 - a + 2
Let u(h) be the third derivative of -h**4/24 + 4*h**3/3 - 18*h**2. Let m(i) = -5. Let p(o) = -4. Let y(j) = 3*m(j) - 4*p(j). Determine u(z) - 6*y(z).
-z + 2
Let g(j) = -j**2 - 3. Let v(h) = -h**2 - 5. Let a be ((-4)/4 + 4)/((-3)/(-5)). Suppose 0 = -3*y + a + 1, -y + 27 = 5*z. Give z*g(c) - 3*v(c).
-2*c**2
Let n(y) = y**3 - 4*y**2 + 3*y. Let k(d) = -d**2. Suppose 21*a - 144 = -15*a. Calculate a*k(x) - n(x).
-x**3 - 3*x
Let v(a) = a - 1. Suppose 20 = -q + 22. Let y(p) = p. Let w(k) = -k**2 - 7*k + 13. Let l be w(-9). Determine l*y(c) + q*v(c).
-3*c - 2
Let f(n) be the third derivative of n**6/24 - 11*n**5/60 - 11*n**4/24 + n**3 + 31*n**2 + 1. Let w(k) = -3*k**3 + 6*k**2 + 6*k - 3. Give -6*f(g) - 11*w(g).
3*g**3 - 3
Let i(y) = 8*y**2 + 3*y + 27. Let d(v) = 6*v**2 + 2*v + 27. Determine -3*d(q) + 2*i(q).
-2*q**2 - 27
Suppose -43 = -3*h + 5. Let y = h + -21. Let x(o) = o**2 + 3*o - 7. Let r(c) = c + 1. Let a be r(-3). Let z(m) = -m + 3. Calculate a*x(g) + y*z(g).
-2*g**2 - g - 1
Let d(q) = -q**2 - 2. Let k(c) = -29*c**2 - 17*c - 55. Let z(h) = 10*h**2 + 6*h + 19. Let g(y) = 6*k(y) + 17*z(y). Determine -21*d(f) + 6*g(f).
-3*f**2
Let f(d) = -d**2 + d. Let h(u) = 47*u**3 + 2*u**2 - 2*u. What is -2*f(j) - h(j)?
-47*j**3
Let t = 21 - 12. Let s(g) = -3*g + 2. Let a(q) = -q**3 - q + 4. Let u be a(0). Let v(n) = 2 + n - 3 + 0*n. What is t*v(m) + u*s(m)?
-3*m - 1
Let h(a) = a**3 - 5*a**2 - 6*a + 10. Let v(z) = -2*z**3 + 11*z**2 + 14*z - 19. Calculate -9*h(i) - 4*v(i).
-i**3 + i**2 - 2*i - 14
Let j(c) = 8*c + 19. Let w(d) = 7*d + 17. Let n(i) = -3*j(i) + 4*w(i). Suppose 0 = -4*t - 4 + 16. Let s(l) = -3 - t + 1 - 2*l. Give 4*n(x) + 9*s(x).
-2*x - 1
Let n(w) = -86*w - 4. Let l(b) = -343*b - 18. Calculate -2*l(g) + 9*n(g).
-88*g
Let l(w) = 7*w**3 + 6*w**2 - 6*w. Let t(r) = -8*r**3 - 7*r**2 + 7*r + 1. Let y = 309 + -315. Give y*t(s) - 7*l(s).
-s**3 - 6
Let w(j) = 20*j**2 + 11*j - 6. Let q = -450 - -452. Let x(n) = -4*n**2 - 2*n + 1. Calculate q*w(u) + 11*x(u).
-4*u**2 - 1
Let t(c) = -33990*c**2 + 824*c + 824. Let m(z) = -206*z**2 + 5*z + 5. Give -824*m(g) + 5*t(g).
-206*g**2
Suppose -4*k - 22 = 3*i - 57, i + 3 = 0. Let z(h) = -4*h + 0 + h + 2 + 0. Let w(o) = -15*o + 11. What is k*z(y) - 2*w(y)?
-3*y
Let k(z) = -4*z**2 - 30*z + 1. Let c(d) = 4*d**2 + 31*d - 1. Calculate -5*c(h) - 4*k(h).
-4*h**2 - 35*h + 1
Let b(o) = -4*o**3 - 4*o - 5877*o**2 + 2942*o**2 + 2935*o**2. Let d(y) = 8*y**3 + 7*y. Give -7*b(k) - 4*d(k).
-4*k**3
Let v = -13 + 10. Let s(t) = -t**2 + t. Let k be (3 - (-36)/(-8))*-2. Let p(l) = 5*l**2 - 4*l**k + l - 7*l**2 + 3*l**3 + l**2. Calculate v*s(z) + 3*p(z).
-3*z**3
Let z(n) = 4 - n - 5 + 0*n + n**3 + 4*n**2 - 3*n**2. Let w(j) = -3*j**3 - 8*j**2 + 3*j + 5. Let r = -68 - -69. Determine r*w(v) + 5*z(v).
2*v**3 - 3*v**2 - 2*v
Let h(r) = -r**3 + r**2 - 4*r + 2. Let g(m) = -m**3 - 2*m + 1. What is -2*g(b) + h(b)?
b**3 + b**2
Let o(q) = -q**2 + 2*q + 2. Let w(i) = -i**2 + 3*i - 2. Let j(u) = u**2 - 3*u + 3. Let d(a) = 5*j(a) + 6*w(a). What is -3*d(f) + 5*o(f)?
-2*f**2 + f + 1
Let l(p) = -p - 7. Let y = 96 + -99. Let o(u) = u + 14. What is y*o(v) - 5*l(v)?
2*v - 7
Let s(x) = -27*x**2 + 6*x + 16*x**2 + 8*x**2 + 2*x. Let p(f) = -f**2 + 3*f. Calculate 17*p(m) - 6*s(m).
m**2 + 3*m
Suppose -11 = -4*b + 5*w, 4*b + 2*w + 10 = -0. Let a(q) = 2*q**3 - 3*q. Let z(h) = -3919 - h - 3*h**3 + 3919 + 4*h**3. What is b*a(k) + z(k)?
-k**3 + 2*k
Let p(r) = -r - 1. Let f(z) = -22*z**3 + z**2 - 1. Let o be f(-1). Let q = o + -21. Let v(a) = 5*a + 3. Calculate q*v(i) + 3*p(i).
2*i
Let y(x) = 2*x + 4. Let z(m) = -24*m - 3*m + 9 + 31*m. Calculate -9*y(f) + 4*z(f).
-2*f
Let f(b) = -3*b - 2. Let d(a) = a - 1. Let l = -2252 - -2256. Determine l*d(p) + f(p).
p - 6
Let x(r) = 1 - 10 - 8 - 5*r. Let j(s) = s + 4. Determine -18*j(t) - 4*x(t).
2*t - 4
Let m(h) = -9*h**3 - 5*h**2 - 4*h - 4. Let r(u) be the second derivative of -u**5/20 - u**4/12 - u**3/6 - u**2/2 + 2*u + 60. Calculate m(w) - 4*r(w).
-5*w**3 - w**2
Let y(o) = -1. Let p be 25/150 + 58/12. Let h(b) = -2*b - 7. Determine p*y(g) - h(g).
2*g + 2
Suppose 2 = -l + 15. Let c(z) = -6*z - 2 - 2*z - 7*z + l*z. Let s(m) = 3*m + 4. Let y = 9 - 16. Determine y*c(a) - 4*s(a).
2*a - 2
Let s(c) = -3*c - 4. Let q(w) = -7*w - 9. Let p(x) = 6*x - 58. Let h be p(19). Let i = 61 - h. What is i*s(k) - 2*q(k)?
-k - 2
Let o(u) = -4*u. Let a(q) = q**3 - 4*q**2 + 3*q + 4. Let r be a(3). Suppose 5*v + 20 = -2*k, -3*k + 3*v - r = 5. Let d(s) = s. What is k*d(i) - o(i)?
-i
Let x(k) = 6*k - 9. Let d = -354 + 359. Let t(y) = 7*y - 9. Determine d*t(z) - 6*x(z).
-z + 9
Let o(x) = x**2 + 