Determine -5*g(j) - w(j).
-5*j - 43
Let k(l) = 5*l + 2. Let n(i) = -i**2 - 14*i - 6. Suppose 10*f - 2*o + 9 = 5*f, 5*f - 4*o + 3 = 0. What is f*n(h) - 8*k(h)?
3*h**2 + 2*h + 2
Let l(c) = 199*c**2 + 2*c + 22. Let s(k) = -101*k**2 - k - 12. Calculate -6*l(w) - 11*s(w).
-83*w**2 - w
Let t(f) = f - 1. Suppose -4*q + 0*p + 20 = -4*p, 2*q - 4*p = 18. Suppose -q - 7 = -4*c. Let k(d) = -3 - 9 - c*d + 12*d. Determine -k(o) + 12*t(o).
2*o
Let y(z) = -310*z + 9. Let d(v) = 206*v - 6. Determine 7*d(x) + 5*y(x).
-108*x + 3
Suppose 4*s - 4*g = -16, -7*s + 12*s - 3*g + 10 = 0. Let m(z) = -4*z - 2. Let c(n) = -n. What is s*m(p) - 5*c(p)?
p - 2
Let t(y) = 4*y**3 + 22*y**2 - 16*y + 62. Let z(x) = -x**3 - 8*x**2 + 6*x - 21. What is 4*t(o) + 11*z(o)?
5*o**3 + 2*o + 17
Let p(d) = 1. Let w(x) = -2*x - 145. Calculate 22*p(v) + 2*w(v).
-4*v - 268
Let j(u) = 3*u**3 - 6*u**2 + 6. Let t(m) = 3*m**2 + m**3 - 8*m**2 + 2*m**2 + 2*m**2 + 1. Determine -3*j(p) + 18*t(p).
9*p**3
Let w(r) be the second derivative of -2*r**3/3 + 3*r**2/2 - 80*r. Let j(d) = d. What is -2*j(k) - w(k)?
2*k - 3
Let r(k) = 46*k - 2. Let x(u) = 2*u + 1. Give -2*r(n) - 4*x(n).
-100*n
Let d(s) be the first derivative of 11*s**4/4 + s**2/2 + s + 4. Let g be d(-1). Let y(a) = -10*a**2 + 15. Let n(w) = 2*w**2 - 3. Determine g*n(p) - 2*y(p).
-2*p**2 + 3
Let x(r) = 12*r**3 + 9*r**2 - 13*r + 6. Let m(y) = -24*y**3 - 18*y**2 + 24*y - 11. Calculate 6*m(k) + 11*x(k).
-12*k**3 - 9*k**2 + k
Let g(u) = 3*u. Let a be g(1). Let v(k) = 2*k**2 - 4*k - 4. Let o(f) be the first derivative of f**2/2 + f - 435. Calculate a*o(s) + v(s).
2*s**2 - s - 1
Let w = -22 - -25. Let s(r) = r - 13*r - w + 11*r. Let k(x) = -2*x - 4. Calculate -3*k(v) + 4*s(v).
2*v
Let s(r) = -r**3 - r - 2. Let h(b) = 28*b**3 - b**2 + b + 3. What is h(u) + 2*s(u)?
26*u**3 - u**2 - u - 1
Suppose 0 = -23*d + 17*d + 6. Let j(h) = h**2 + h + 1. Let f(c) = -10*c**2 - 5*c - 8. Calculate d*f(t) + 6*j(t).
-4*t**2 + t - 2
Let r(k) = 51585*k**3 + 209*k**2. Let v(s) = 496*s**3 + 2*s**2. Determine 2*r(w) - 209*v(w).
-494*w**3
Let l(i) = i - 16. Let r(s) = 3*s - 1. Let q(v) = -v + 1. Let k(w) = 2*q(w) + r(w). Let x be k(-8). Let p(n) = n - 11. What is x*p(a) + 5*l(a)?
-2*a - 3
Let c(x) = 6541*x**2 - 6554*x**2 - 42 + 39 - 3*x. Let n(d) = -168*d**2 - 40*d - 40. Give -40*c(m) + 3*n(m).
16*m**2
Suppose 2*z = -z + 33. Let f(l) = 17*l. Let m(n) = 6*n. Let w(y) = z*m(y) - 4*f(y). Let k(i) = i. Suppose 4*j - 9*j - 15 = 0. What is j*k(a) - w(a)?
-a
Let w(s) = -5*s**3 - 4*s**2 + s - 4. Let j(l) = l**3 + l**2 + 1. Let q(c) = c**3 - 2*c**2 + 4. Let v be q(4). Let g = 37 - v. Give g*w(m) + 4*j(m).
-m**3 + m
Let z(r) = -r**2 + r. Suppose 0 = 4*h - 2*h + 26. Let i = h - -14. Let x(c) = 2*c**2 - 3*c - 2. Give i*x(n) + 3*z(n).
-n**2 - 2
Let z(v) = -2*v + 13. Let p = 122 + -125. Let d(w) = -w + 7. Determine p*z(m) + 5*d(m).
m - 4
Let n(t) = t**3 + 14*t**2 + 14*t + 14. Let o be n(-13). Let j(g) = -5 + 134*g - 138*g - o. Let p(r) = r + 1. Calculate -3*j(c) - 16*p(c).
-4*c + 2
Let x(t) be the second derivative of -3*t**5/20 - t**4/2 - t**3 - 3*t**2 + 11*t - 10. Let a(s) = -s**2 - s - 1. Give -6*a(q) + x(q).
-3*q**3
Let b(w) = -2 - 10*w - 32*w - 5 + 44*w. Let x(t) = t - 4. Determine -2*b(a) + 5*x(a).
a - 6
Let x(j) = 2*j**2 - j + 1. Let i(c) = 2*c**3 + 9*c**2 + 2*c - 6. Let p be i(-4). Let y(w) = 11*w - 6 + 2 - 7*w - 3*w**2 - p*w**2. Give 7*x(u) + 2*y(u).
4*u**2 + u - 1
Let v(f) = -f - 1. Let a(z) be the second derivative of z**3/6 + 3*z**2 + 3*z - 1. Calculate -a(c) - 3*v(c).
2*c - 3
Let y(q) = 11*q**2 - 13*q**2 + 1110*q**3 - 1109*q**3. Let l be (-21)/(-5) - 5/25. Let h(b) = 3*b**3 - 7*b**2 - 1. Give l*h(n) - 14*y(n).
-2*n**3 - 4
Let d(c) = -17*c**3 + 9*c**2 - 2*c - 1. Let b(l) = -17*l**3 + 11*l**2 - 3*l - 2. What is -3*b(q) + 4*d(q)?
-17*q**3 + 3*q**2 + q + 2
Let u(b) = -b + 1. Let n(c) = 4*c + 1. Suppose -37 = 2*s - 5*r, s + 16 = -r + 3*r. Let m(j) = -4*j - 2. Let t(y) = s*m(y) - 7*n(y). Determine -2*t(k) + 11*u(k).
-3*k + 1
Suppose -5 = 3*i + 22. Let y(c) = c + 1. Let o(g) = g**2 - 10*g + 1. Let u be o(10). Let t(h) = 12*h + 9. Determine i*y(s) + u*t(s).
3*s
Let f(h) = 3*h**2 + 15*h + 1. Let w(g) = -8*g**2 - 44*g - 5. Calculate 11*f(b) + 4*w(b).
b**2 - 11*b - 9
Suppose -j - 2*u - 2 = 0, 2*u = -4*j + 4*u + 22. Let b(x) = -2*x**3 + 2*x**2 + 6*x. Let g(f) = 2*f**3 - f**2 - 5*f. Determine j*g(a) + 3*b(a).
2*a**3 + 2*a**2 - 2*a
Let o(r) = 10*r**2 - r - 3. Let p(b) = 11*b**2 + 6*b + 4. Let u(s) = -11*s**2 - 10*s - 8. Let c(g) = 3*p(g) + 2*u(g). Give -3*c(v) + 4*o(v).
7*v**2 + 2*v
Let o(z) = 56*z**3 - 6. Let c(w) = 167*w**3 - 17. Determine -6*c(j) + 17*o(j).
-50*j**3
Suppose -3*o + 29 = 8. Let m(y) = y + 6 - 9 + o. Let v(u) = 2*u + 9. Suppose 0 = -3*t + g + 9 + 5, 0 = -3*t - 3*g + 30. Calculate t*v(f) - 14*m(f).
-2*f - 2
Let a = -7 - -4. Let i(m) = 0*m**2 - 3*m**2 + 4*m**2. Let z(q) = q**2 + q. Let y(c) = -c**3 - 5*c**2 - 3*c. Let o(r) = y(r) + 3*z(r). What is a*i(j) - 2*o(j)?
2*j**3 + j**2
Let a(o) = -11*o**3 - 6. Suppose 2*t = -u - 2*t - 9, 4*u + 66 = -t. Let f(i) be the second derivative of i**5/5 + i**2 - 51*i. Determine u*f(y) - 6*a(y).
-2*y**3 + 2
Let r(i) = 6*i**2 - 2. Let t(g) = -5*g**2 + 2. Suppose 0 = -26*b + 22*b - 12. Give b*r(m) - 4*t(m).
2*m**2 - 2
Let x(c) = -7*c**3 + 6*c**2 - 5*c + 6. Let i(h) be the third derivative of -h**6/15 + 7*h**5/60 - 5*h**4/24 + 7*h**3/6 - 17*h**2 + 2*h. Give -6*i(b) + 7*x(b).
-b**3 - 5*b
Let f(h) = 3*h**2 + 2*h - 71. Let p(r) = -17*r**2 - 11*r + 355. Calculate -11*f(s) - 2*p(s).
s**2 + 71
Let i = -3029 - -3026. Let f(q) = q**3 + q**2 + 2. Suppose 0 = -0*g - g - 2, 4*n = 3*g + 26. Let t(m) = m**3 + 2*m**2 + 3. What is i*t(h) + n*f(h)?
2*h**3 - h**2 + 1
Let k(f) = 5*f - 3*f**2 - 14 + 14 + 0*f**2. Let a be -2*((-25)/(-10) + 0). Let s(r) = 5*r**2 - 8*r. What is a*s(g) - 8*k(g)?
-g**2
Let c(w) = -46834*w**2 - 1 + 46839*w**2 + 2 + w. Let q(y) = -14*y**2 - 2*y - 4. Determine -8*c(i) - 3*q(i).
2*i**2 - 2*i + 4
Let i(g) = 13*g + 9. Let w(h) = -122 + 43 + 41 + 12*h + 46. What is 5*i(p) - 6*w(p)?
-7*p - 3
Let k = -22 + 24. Suppose -c - k*c = 6, z + 4*c = -8. Let q(w) = -6*w - 3 + 5 + z. Let u(g) = 2*g - 1. Give 3*q(y) + 8*u(y).
-2*y - 2
Let x(r) = r**3 - r**2. Let c(z) = 2*z**3 - 3*z**2 - 46*z. Give c(t) - 4*x(t).
-2*t**3 + t**2 - 46*t
Let g(k) = 3*k**3 + k**2 + 1. Let j(x) = -12*x**3 - 6*x**2 + 39*x - 6. Determine 6*g(n) + j(n).
6*n**3 + 39*n
Let o(c) = -c. Let d = 0 + 2. Let g(z) be the third derivative of z**4/8 - z**3/3 - 2*z**2 - 36. Determine d*o(a) + g(a).
a - 2
Let v(k) = -3*k**2 + 265*k. Let l(x) = -x**2 + 133*x. Determine 7*l(r) - 3*v(r).
2*r**2 + 136*r
Let g(a) = 2*a - 89. Let x(r) = 2*r - 81. Give -7*g(q) + 8*x(q).
2*q - 25
Let m(h) = -51*h. Let g(x) = -5*x. Suppose 18*z - 30 = 3*z. Let f = -23 - -2. What is f*g(n) + z*m(n)?
3*n
Let y(a) = 1150 - a - 1150 + a**2. Let l(z) = -7*z**2 + 4*z. Give l(m) + 5*y(m).
-2*m**2 - m
Let r = 198 - 209. Let n(a) = -a**2 - 4*a - 2. Let f(p) = -p**2 + p**2 - 11*p - 5 - 2*p**2. Calculate r*n(m) + 4*f(m).
3*m**2 + 2
Let f(r) = -r**2 - r. Let y(v) = 7*v**2 + 9*v - 1. Calculate -6*f(l) - y(l).
-l**2 - 3*l + 1
Let m(h) = 4*h - 3. Suppose -4*u = -4*a + 1 - 25, 0 = -3*u + 2*a + 17. Let r(y) be the first derivative of -y**2/2 + y + 13. Determine u*r(k) + m(k).
-k + 2
Let b(p) = 3*p**3 - 3*p**2 + 3*p + 14. Let o(m) = -4*m**3 + 5*m**2 - 5*m - 29. Determine 5*b(g) + 3*o(g).
3*g**3 - 17
Let i(j) = -j. Let s(f) = 3*f**2 - 2*f + 14. Give -2*i(x) + s(x).
3*x**2 + 14
Let a(n) = -n + 1. Let k(z) = 132 - 71 - 66 + 2*z. What is -6*a(c) - 2*k(c)?
2*c + 4
Let y(l) = -l**3 - l**2 - 1. Let b = 332 - 331. Let v(a) = -a**3 - 3*a**2 + a - 3. Give b*v(k) - 3*y(k).
2*k**3 + k
Let a(y) = 16*y**2 - 16*y + 179. Let s(g) = -3*g**2 + 3*g - 36. What is 2*a(x) + 11*s(x)?
-x**2 + x - 38
Let r(q) = -q**2 - 1. Let v(o) = 5*o**2 - 3*o**2 - 5 - 1 + 8. What is 3*r(k) + 3*v(k)?
3*k**2 + 3
Let h(p) = 18*p + 3 - 19*p - 1. Let b(q) = q**2 - q - 5. Let g be b(0). Let i be (0 + -2)/(-1 + 10/6). Let l(o) = o - 1. What is g*l(u) + i*h(u)?
-2*u - 1
Let m(a) = a + 2. Let r(u) = 74*u + 10. Give -5*m(b) + r(b).
69*b
Let l(a) = -a - 21. Let s be l(11). Let u = -35 - s. Let y(r) = 7*r + 9. Let v(p) = 4*p + 5. Calculate u*y(g) + 5*v(g).
-g - 2
Let i(u) = 5*u**3 +