3)/3. Let y(p) = -p - 1. What is a*k(x) + z*y(x)?
-x + 1
Let k(l) = l**3 + 13*l**2 - 3*l - 44. Let t be k(-13). Let u(n) = 2*n + 10. Let w(s) = -3*s - 15. Determine t*w(f) - 7*u(f).
f + 5
Let m(z) = z**2 + z + 2. Let d(a) = 3*a + 27. Calculate d(x) - 3*m(x).
-3*x**2 + 21
Let f(i) = 5*i**3 + i**2 - 2*i + 2. Let j(c) = -10*c**3 - 3*c**2 + 5*c - 5. Suppose -7*u + 4*v = -11*u + 8, -u - 7 = 4*v. Calculate u*f(o) + 2*j(o).
5*o**3 - o**2
Let c(j) = j**2 - j. Let u(w) = 23*w**3 + 7*w**2 - 6*w - 4. What is -6*c(g) + u(g)?
23*g**3 + g**2 - 4
Let b(m) = -m + 6. Let u be b(5). Let w = -58 + 53. Let y(j) = -j**3 + 1 + 3*j + 0*j**3 - 4*j. Let v(q) = -6*q**3 - 3*q + 5. Give u*v(n) + w*y(n).
-n**3 + 2*n
Suppose -3*v + 2*a = 1 + 1, 4*a = -3*v - 14. Let z = 8 + v. Let p(s) = -2*s + z*s - 3*s - 5*s**2 + 3*s**2. Let c(q) = q**2. Give 3*c(g) + 2*p(g).
-g**2 + 2*g
Let g(p) = -56*p + 601. Let z(d) = -26*d + 301. Determine 6*g(l) - 13*z(l).
2*l - 307
Let f(v) = -8*v**3 - 13*v**2 - 8*v + 6. Let a(j) = 2 - j**2 + 2213*j - 2214*j - 1 - j**3. What is 6*a(k) - f(k)?
2*k**3 + 7*k**2 + 2*k
Let n(l) = 3*l**3 + 2*l - 4. Let j(b) = 3*b - 1. Let h(m) = -m**3 + 1. Let x(i) = 6*h(i) - j(i). Give -7*n(r) - 4*x(r).
3*r**3 - 2*r
Let t be (-2 - (-1 + 0)) + 0. Let i(d) = 2 + 41*d - 1 + 36*d - 121*d + 43*d. Let y(g) = 8*g - 12. What is t*y(z) - 12*i(z)?
4*z
Let m(g) = g - 2*g - 2 - 4*g. Let b = 1778 + -1777. Let p(c) = -c. What is b*m(n) - 2*p(n)?
-3*n - 2
Let w(o) = -2*o + 3. Let z(y) = -5*y + 7. Suppose -3*p + 21 = 6, -14 = -3*k - p. Determine k*z(b) - 7*w(b).
-b
Let g(c) = -c**2 - c. Let h(i) = -134*i**3 + 6*i**2 + 8*i. Give -6*g(q) - h(q).
134*q**3 - 2*q
Let h(s) = -163*s - 4. Let i(a) = 8475*a + 210. Determine 105*h(l) + 2*i(l).
-165*l
Let m = -228 - -234. Let i(b) = -23*b. Let v(k) = -11*k. Calculate m*i(f) - 13*v(f).
5*f
Let l(g) = 6*g**2 - 9*g. Let d(t) = -2*t + 4*t + 6*t - 4*t + 0*t - 3*t**2. Calculate -7*d(u) - 4*l(u).
-3*u**2 + 8*u
Let x(f) = 2*f - 3. Let h(c) = -4*c + 2. Give -2*h(g) - 3*x(g).
2*g + 5
Let k be 12/(-9) + (-2)/(-6). Let s(t) = -t**3 - 2*t + 3. Let g(n) be the first derivative of n + 530. Determine k*s(a) + 3*g(a).
a**3 + 2*a
Let c(q) = q + 1. Let i(z) = 3 - 2 + 123*z - 121*z. Determine 10*c(s) - 4*i(s).
2*s + 6
Let j(y) = -9*y**3 + 4. Let x(s) = -28*s**3 + 54*s**3 - 25*s**3 - 1. Determine j(a) + 6*x(a).
-3*a**3 - 2
Let c(m) be the first derivative of m**4/2 - 3*m**2/2 + 6*m + 179. Let g(f) = 2*f**3 - 2*f + 5. What is 4*c(j) - 5*g(j)?
-2*j**3 - 2*j - 1
Let j(u) = 72*u + 18. Let a(d) = -69*d - 17. Let s(n) = -3*a(n) - 4*j(n). Let x(l) = 8*l + 2. Give 2*s(v) + 21*x(v).
6*v
Let i(j) = -6*j + 1. Let p(n) = n**3 - 6*n**2 + 8*n + 3. Let v be p(4). Let q(z) = 13*z - 1. Calculate v*q(r) + 7*i(r).
-3*r + 4
Let z(w) = 16*w**2 + 3*w + 12. Let x(i) = 19*i**2 + 3*i + 13. Determine -6*x(p) + 7*z(p).
-2*p**2 + 3*p + 6
Let o(d) = 9*d + 1. Let l(z) = -5*z - 1. Suppose -9*f - 34 = -11*f. Let v be f/3 - (4/6)/1. What is v*l(n) + 3*o(n)?
2*n - 2
Let p(u) = -3*u**3 + 17*u**2 + 78*u + 23. Let l(c) = -c**3 + 6*c**2 + 27*c + 8. Give -11*l(v) + 4*p(v).
-v**3 + 2*v**2 + 15*v + 4
Suppose -3*t + 27 = -7*u + 6*u, 3*t - 27 = 5*u. Let n(i) = -4*i**2 + 5*i + 9. Let g(p) = -p**2 + p + 2. What is t*g(q) - 2*n(q)?
-q**2 - q
Let y(s) = -2*s**3 - 4*s**2 - 9*s + 9. Suppose -5*z - 52 = -7*z. Let u = -35 + z. Let k(l) = -l**3 - 2*l**2 - 4*l + 4. Calculate u*k(x) + 4*y(x).
x**3 + 2*x**2
Let w(d) = 6*d + 4. Let h(f) = -7*f - 11. Let j(i) = 3*h(i) + 5*w(i). Let s(x) = 5*x - 6. Calculate -3*j(a) + 5*s(a).
-2*a + 9
Let d(w) = 5*w**2 + 5*w - 8. Let i(m) = -m**2 - 37*m - 34*m + 2 + 70*m. Give -2*d(q) - 9*i(q).
-q**2 - q - 2
Let d(y) = -7*y + 7. Let k(s) = s - 1. Let u(r) = -d(r) - 6*k(r). Let p(l) = -l + 1. Let j(a) = 4*a - 106. Let m be j(26). Give m*p(t) - 3*u(t).
-t + 1
Let f(g) = 14*g**3 - 16*g. Let y(d) = -9*d**3 + 11*d. Determine -5*f(u) - 8*y(u).
2*u**3 - 8*u
Let o(m) = 13*m. Let j(h) = -9*h. Let c(z) = -57*z + 391. Let u be c(7). Give u*j(s) - 5*o(s).
7*s
Let r(t) = t**3 + t**2 - 1. Let p(f) be the second derivative of -f**5/2 + f**4/3 - f**3/6 - 2*f**2 - 387*f. Calculate p(k) - 4*r(k).
-14*k**3 - k
Let v(a) = a**2 + 4*a + 3. Suppose 186 = 1321*n - 1383*n. Suppose -4*r = 21 - 5. Let b(y) = -2*y**2 - 5*y - 4. Calculate n*b(m) + r*v(m).
2*m**2 - m
Let w(t) = -t**3 - 4*t**2 + 5*t - 1. Let h(u) = u**3 + 5*u**2 - 6*u + 1. Let s = -2 + -3. What is s*w(d) - 4*h(d)?
d**3 - d + 1
Let u(w) = -5*w**3 - 3*w**2 - 4*w - 3. Let m(q) = -q**2 - q - 1. Determine -3*m(g) + u(g).
-5*g**3 - g
Suppose 7 = 2*n + 1. Suppose -5*q + k + n*k = 31, -2*k = -3*q - 17. Let p = -3 + -2. Let c(r) = 7*r + 3. Let a(g) = -4*g - 2. What is p*a(b) + q*c(b)?
-b + 1
Let y(d) = d**3 + 4*d - 7. Let b(v) = 28*v**2 - 28*v**2 - 8 + 4*v + v**3. Let i(o) = 4*b(o) - 5*y(o). Let t(a) = -a + 1. Calculate i(r) - 5*t(r).
-r**3 + r - 2
Let z(i) = 8 - 48*i - 2 - 1 + 56*i. Let l(p) = 9*p + 6. Calculate 4*l(x) - 5*z(x).
-4*x - 1
Let j be 15*1*5/(-15). Let t = 9 + j. Let v(g) = 2*g**3 - 2*g**2 - 4*g - 1. Let l(b) = 3*b**3 - 2*b**2 - 5*b - 1. Calculate t*l(c) - 5*v(c).
2*c**3 + 2*c**2 + 1
Suppose -3*f + r + 17 = 0, -3 - 7 = -4*f - 5*r. Let g(h) be the third derivative of -h**3/6 + 6*h**2. Let s(y) = y + 5. Give f*g(n) + s(n).
n
Let a(k) = 2*k + 1. Let q(f) = -2*f - 2. Determine 6*a(p) + q(p).
10*p + 4
Let l(i) = 1188*i + 771 + 2*i**2 - 770 - 1188*i. Let a(w) = -w**2 - w. Let s(c) = -4*c**2 - 3*c - 1. Let o(y) = -3*a(y) + s(y). Calculate -2*l(v) - 2*o(v).
-2*v**2
Let j(l) = 5*l**3 - 3*l**2 + 43*l - 3. Let z(d) = -12*d**3 + 7*d**2 - 86*d + 7. Determine 7*j(q) + 3*z(q).
-q**3 + 43*q
Let d(r) = -14*r**3 + 61*r - 8. Let i(m) = 12*m**3 - 62*m + 7. Determine -5*d(a) - 6*i(a).
-2*a**3 + 67*a - 2
Suppose a = 3*a - 8. Let s(y) = -2*y + 4. Let m be (-3)/(-1) + -1 + 1 + 2. Let h(r) = 3*r - 4. Give a*h(z) + m*s(z).
2*z + 4
Let x(k) = 5*k + 1. Let o(y) = y. Suppose 0 = -3*j - 2*a + 4, -5 = -3*j - 3*a + 2*a. Suppose -4*n + j*n + 2 = 0. What is n*x(s) - 6*o(s)?
-s + 1
Let t(x) = -5*x**3 + 11*x**2 + 8*x. Let l = 2 - 10. Suppose 15*a - 18 = 12. Let d(g) = a*g**3 - g**2 - g - 2*g - 3*g**2. Calculate l*d(h) - 3*t(h).
-h**3 - h**2
Let g(d) = -4*d**2 + 3*d**2 + 1 - 2. Suppose -153*j - 12 = -147*j. Let u(t) = t**2 + 2*t - 4. Give j*g(x) + u(x).
3*x**2 + 2*x - 2
Let u(n) = 20*n + 3. Let w(m) = 17*m + 2. Determine -4*u(y) + 5*w(y).
5*y - 2
Let f(s) = 7. Let l = -422 - -420. Let g(h) = -h + 8. Determine l*g(u) + 3*f(u).
2*u + 5
Let y(m) = -154*m - 15. Let g(b) = b + 3. Calculate -10*g(w) - 2*y(w).
298*w
Let n(o) = -o**2 - 4. Suppose -48*c = -46*c - 2. Let g(f) = -2 + 21*f - f**2 - 21*f - c. Give 7*g(i) - 6*n(i).
-i**2 + 3
Let q be (3 - (-2 - -2)) + -2. Let t(c) = 6*c**3 - c**2 + 1. Let d be t(q). Let n(y) = -y - 5 + d - 3. Let r(u) = 4*u + 6. Determine -10*n(b) - 3*r(b).
-2*b + 2
Let d(p) = 2*p**3 - 13*p**2 - 2*p - 5. Let y(j) = 56 - j**3 + 14*j**2 - 53 + j - 7*j**2. Determine -3*d(a) - 5*y(a).
-a**3 + 4*a**2 + a
Let v(b) = -2*b**2 + b - 2. Let u(h) = 11*h**2 - 4*h + 9. Determine u(q) + 5*v(q).
q**2 + q - 1
Let c(u) = 22*u - 7. Let h(r) = 13*r - 1. Let w(z) = -4*z. Let n(m) = -h(m) - 3*w(m). Calculate -c(d) - 5*n(d).
-17*d + 2
Let d(a) = 27*a**3 + 7*a**2 + 11*a - 22. Let x(j) = 14*j**3 + 3*j**2 + 6*j - 12. What is 6*d(w) - 11*x(w)?
8*w**3 + 9*w**2
Let i(u) = u**3 + 7*u**2 + 9*u - 2. Let r be i(-5). Let q(x) = x + 1. Let m(v) = 4*v - 6. Let b(w) = w. Let g(t) = -10*b(t) + m(t). Determine r*g(l) + 16*q(l).
-2*l - 2
Let d(g) = -g**2 + 1. Suppose 31*h = 46*h - 420. Let c(q) = 35*q**2 - 28. Calculate h*d(l) + c(l).
7*l**2
Let l(y) = -11*y**2 - 11*y + 8. Let q(a) = 2*a**2 - 2. What is l(h) + 4*q(h)?
-3*h**2 - 11*h
Let h(k) = -77*k - 42. Let o(t) = 9*t + 5. Let q(f) = f**3 - 8*f**2 + 5*f + 2. Let p be q(8). What is p*o(u) + 5*h(u)?
-7*u
Let o(i) = 52126*i + 938. Let x(g) = 278*g + 5. What is 5*o(q) - 938*x(q)?
-134*q
Let n(u) = 2*u - 2. Let o be 14 - (6 - 6 - -7). Let i(a) = -5*a + 5. Calculate o*n(w) + 3*i(w).
-w + 1
Let c(o) = -6*o + 26. Let f(j) = -5 - j + 3*j - j. Suppose -8*t + 2*t = -18. Let m(d) = d**3 + 5*d**2 - 9*d - 2. Let q be m(-6). What is q*f(x) + t*c(x)?
-2*x - 2
Suppose 9*w - 415 = -262. Let d be -1 - (1 + -1) - -7. Let t(p) be the third derivative of p**4/6 - p**2. 