- 4. Let n(d) = 6*d - 4. What is f*n(a) - 3*x(a)?
3*a - 1
Let a(w) = w**2 - w - 2. Let d(r) = r**2 - 2*r - 3. Let j(h) = -3*a(h) + 2*d(h). Let o = -8241 + 8244. Let c(k) = 5*k**2 + 4*k. Calculate o*c(x) + 12*j(x).
3*x**2
Let l(a) = 5*a**3 - a**2 + 4*a - 3. Let v(z) = -10*z**3 - 456 - 3*z + 6*z**3 + 458. Calculate -2*l(n) - 3*v(n).
2*n**3 + 2*n**2 + n
Let s(d) = 44*d**3 + 3*d**2 - 8*d - 5. Let z(i) = 89*i**3 + 7*i**2 - 17*i - 11. Determine 7*s(n) - 3*z(n).
41*n**3 - 5*n - 2
Let u(r) = r**3 - r**2 - r - 1. Let d(a) = 7*a**3 - 4*a**2 + 7*a - 4. Calculate -d(i) + 4*u(i).
-3*i**3 - 11*i
Let d(n) = n**2 - n - 1. Let o(q) = 0*q - q**3 + 6*q**3 + q**2 + 2*q - 4*q**2 + 2. What is 2*d(c) + o(c)?
5*c**3 - c**2
Let h(w) = -w**3 - 21*w**2 + 3*w. Let b(m) = 40*m**2 - 7*m. Determine 3*b(y) + 7*h(y).
-7*y**3 - 27*y**2
Let j be 3 + 0 + (-14 - 3). Let b(t) be the first derivative of 5*t**4 - 6*t + 8. Let v be 1/((-9)/5 - -2). Let i(h) = 7*h**3 - 2. Give j*i(s) + v*b(s).
2*s**3 - 2
Let c(l) = -11*l**2 + l**3 + 2*l**2 - 11*l + 10*l**2 + 1 + 10*l. Let u(b) = -4*b**3 - 5*b**2 + 4*b - 3. What is 3*c(x) + u(x)?
-x**3 - 2*x**2 + x
Let n(k) = -k**3 + k**2 - k + 1. Suppose 3*v = 2*v + 2. Let t(q) = 2*q**2 + 4*q**3 - q**2 - 5 + 3 - 4*q**v. Determine -2*n(j) - t(j).
-2*j**3 + j**2 + 2*j
Let b(i) = -i**2. Let m(f) = 8*f**2 + 3*f - 3. Let p(k) = -7*k**2 - 2*k + 2. Let a(t) = 2*m(t) + 3*p(t). What is a(v) - 6*b(v)?
v**2
Let k(s) = 20 - 3*s + 19 - s - 36. Let w(n) = n - 1. Let p(c) = 1. Let a(o) = -p(o) - 3*w(o). Calculate 3*a(y) - 2*k(y).
-y
Let n(v) = -92*v - 320. Let k(q) = -13*q - 46. Calculate 20*k(y) - 3*n(y).
16*y + 40
Let g(t) = 2*t - 619. Let v(l) = l - 308. Determine -4*g(h) + 9*v(h).
h - 296
Suppose 9*m - 140 = -50. Let q(a) = 15*a + 3. Let x(r) = -46*r - 10. What is m*q(c) + 3*x(c)?
12*c
Let q(n) = -14*n**3 - 79*n**2 - 17*n. Let p(g) = -3*g**3 + g**2 - 3*g. Determine -6*p(b) + q(b).
4*b**3 - 85*b**2 + b
Let u(p) = 4*p**2 + 24*p + 32. Let x(d) = -d**2 - 5*d - 6. Calculate -3*u(a) - 14*x(a).
2*a**2 - 2*a - 12
Let a(w) = w**2 - w. Let g be a(-1). Suppose 1 = q + g*x, -4*q + x + 14 = -x. Let y(j) = 6*j**3 - 8. Let b(f) = 2*f**3 - 3. Give q*y(d) - 8*b(d).
2*d**3
Let b(q) = -3*q + 1. Let i(k) = 4*k - 1. Let r(j) = -6*b(j) - 4*i(j). Suppose -268 = -7*s - 58. Let z(p) = -3 + 8 + p**2 - 35*p + s*p. What is 5*r(c) + 2*z(c)?
2*c**2
Let h(a) = 10*a - 6. Let c(m) = m - 1. Let p(q) = -c(q) + h(q). Let j(s) = -4*s + 2. Let t = 5443 - 5436. Calculate t*j(b) + 3*p(b).
-b - 1
Let l(q) = -q**3 + q - 1. Let b(w) = -10*w**3 - 92*w**2 + 10*w - 10. Calculate b(r) - 12*l(r).
2*r**3 - 92*r**2 - 2*r + 2
Let k(h) = 19*h - 6. Let b(c) be the third derivative of c**4/8 - c**3/6 + 121*c**2. Calculate 34*b(o) - 6*k(o).
-12*o + 2
Let w(y) = 78*y - 2. Let s(o) = 77*o - 3. Calculate 3*s(n) - 4*w(n).
-81*n - 1
Let f(t) = -4*t**3 + 3*t**2 - 3*t - 3. Let c(z) = 4*z**3 - 2*z**2 + 2*z + 2. Let d be (-49 - -53)*(0 + 6/(-4)). Give d*c(s) - 4*f(s).
-8*s**3
Suppose -168*x + 167*x = -h, -2*h = -4*x + 2. Let t(i) = 2*i. Suppose -4*u - 21 = -s, 6*s - 20 = s + 3*u. Let v(g) = -3 + 3 - g. Give h*v(w) + s*t(w).
w
Let p(m) = 238*m + 10. Let o(z) = 6308*z + 266. Calculate 5*o(w) - 133*p(w).
-114*w
Let l(u) = -27*u + 21. Let z(w) = 28*w - 21. What is -5*l(n) - 4*z(n)?
23*n - 21
Let r(k) = -20*k - 6. Let d(z) = -7*z - 2. Suppose v + 5*x = -6, 13*x - 16*x - 26 = -v. Determine v*d(c) - 5*r(c).
2*c + 2
Let t(w) = 1. Let x(u) = -4*u - 47. Determine -6*t(y) - x(y).
4*y + 41
Suppose 4461*s = 4451*s - 30. Let j(u) = -5*u**2 + 2. Let n(y) = 4*y**2 + y - 2. Suppose 4*d - 5 + 13 = 0. Give d*j(x) + s*n(x).
-2*x**2 - 3*x + 2
Let y(q) = 4*q. Let d(j) = 2*j. Let w = -24 - -13. Let a = 8 + w. Let f be 4/(-30) + (-385)/(-75). Give a*y(o) + f*d(o).
-2*o
Let i(p) = -277*p**3 + 11*p**2 - 4*p + 10. Let c(m) = -92*m**3 + 3*m**2 - m + 3. Calculate -7*c(a) + 2*i(a).
90*a**3 + a**2 - a - 1
Let m(c) = -15*c**3 + 21*c + 21. Let o(a) = -3*a - 19. Let v be o(-5). Let x(p) = 1 - 8 - 4*p + 5*p**3 - 2*p**3 + 3. Give v*m(l) - 21*x(l).
-3*l**3
Let g(s) = 11*s**3 + 13*s**2 + 38*s - 17. Let r(m) = -5*m**3 - 6*m**2 - 19*m + 8. Give -6*g(k) - 13*r(k).
-k**3 + 19*k - 2
Let d(n) = 3*n**2 + 8*n + 12*n - 19*n - 2*n**2. Let a(o) = 2*o + 3*o**2 + o**2 + 6*o**2 - 8*o**2. Give -2*a(i) + 3*d(i).
-i**2 - i
Let c be 0/1*4/(-8). Suppose c*o = -o + 7. Let h(v) = 9*v + 7. Let t(d) = -5*d - 8. Let b(q) = -1. Let s(a) = -4*b(a) + t(a). Give o*s(r) + 4*h(r).
r
Let m(d) = d**2 + d + 1. Let p = -22 - -19. Let b(k) = -5*k**2 - 3*k - 4. Suppose -4*q - 7 = -7*q - 2*i, -q + 24 = 5*i. What is p*m(o) + q*b(o)?
2*o**2 + 1
Let u(d) = -6*d. Let l(s) = s. Let v(h) = 8*l(h) + u(h). Let p(c) = 2*c. Suppose 24 = m - 5*m. Give m*p(i) + 7*v(i).
2*i
Let k(w) = 874*w. Let j(a) = 25*a. Give 209*j(z) - 6*k(z).
-19*z
Let y = -269 + 273. Let t(r) = -2*r**2 - 2*r - 1. Let o(d) = -2*d**2 - 2*d - 1. What is y*t(f) - 5*o(f)?
2*f**2 + 2*f + 1
Let w be 0 + (-21)/4 - (-7)/28. Let z(b) = 1 + 5*b - 5*b**2 + 1 - 6 + 2*b**3. Let r(s) = -2*s**3 + 6*s**2 - 6*s + 5. Determine w*r(f) - 6*z(f).
-2*f**3 - 1
Suppose -5*l - 3 = -5*c - 8, 2*c - 8 = 0. Let y(b) = -8*b + 8. Let o(u) = u**3 + 4*u**2 - 3*u - 6. Let p be o(-4). Let x(f) = 7*f - 7. Give l*y(s) + p*x(s).
2*s - 2
Let j(u) = u**2 - 2. Let t(v) = v**3 - 3*v**2 + 42*v + 8. What is -4*j(n) - t(n)?
-n**3 - n**2 - 42*n
Let y(a) be the second derivative of 7/6*a**3 - 3*a**2 + 9*a + 0. Let z(m) = 6*m - 5. Give -4*y(f) + 5*z(f).
2*f - 1
Let l(v) = -2*v**2 + 13*v + 3. Let z(o) = 3*o**2 - 26*o - 5. What is 5*l(r) + 3*z(r)?
-r**2 - 13*r
Let v(u) = 10*u**2 + 6*u + 6. Let n(y) be the second derivative of 3*y**4/4 + 7*y**3/6 + 7*y**2/2 - 499*y - 1. Calculate -6*n(r) + 7*v(r).
16*r**2
Let i(v) = -2 - 5*v**3 - 3*v**2 - 362*v + 0*v**3 + 178*v + 178*v. Let g(y) = y**2 + y. Determine -3*g(d) - i(d).
5*d**3 + 3*d + 2
Suppose -5*r - 5*k + 30 = 0, 35*k = 4*r + 32*k - 31. Let l(x) = -37*x**2 + 7*x - 7. Let f(i) = -12*i**2 + 2*i - 2. Give r*f(z) - 2*l(z).
-10*z**2
Let s = 1 + 1. Let c be (2 - 3)*(1 - s). Let k(m) = -m**2 - 3*m - 3. Let w(q) be the first derivative of -q**2/2 - q + 211. What is c*k(l) - 5*w(l)?
-l**2 + 2*l + 2
Let k = 83 - 70. Suppose k*s - 28 = 6*s. Let x(p) = 14*p + 3. Let b(g) = -5*g - 1. Determine s*x(m) + 11*b(m).
m + 1
Let k(q) = q + 5. Let z(l) = 6*l - 156. What is 8*k(d) - z(d)?
2*d + 196
Let s(g) = -g**3 + g + 1. Let j(m) be the third derivative of 7*m**6/40 - 5*m**4/8 - 2*m**3 - 10*m**2 - 3. Give -j(p) - 15*s(p).
-6*p**3 - 3
Let s(r) = -7 - 5*r**3 + r**3 + 3*r**2 + 2 - 8*r - 9*r**2. Let y(t) = -5*t**3 - 7*t**2 - 9*t - 6. Let d be (-19)/(-57) - (-57)/(-9). Calculate d*s(f) + 5*y(f).
-f**3 + f**2 + 3*f
Let z(i) = -5*i**2 + 5*i - 2. Suppose 2*q + 6 = 5*c - 2, 4*q = 2*c. Let t = 255 + -258. Let x(v) = -v**2 + v. Calculate q*z(w) + t*x(w).
-2*w**2 + 2*w - 2
Let x(n) = -n - 18. Let z(y) = -18. Give 6*x(l) - 5*z(l).
-6*l - 18
Let n(z) = 3*z**2 + 23*z - 4. Let y(b) = -b**2 - 8*b + 1. Determine 3*n(u) + 8*y(u).
u**2 + 5*u - 4
Let r(u) = -u**3 - 10 + 2*u**2 + 0*u**3 + 8 + 3*u**3 + 6 - 3*u. Let n(l) = 3*l**3 + 2*l**2 - 4*l + 5. Give -4*n(y) + 5*r(y).
-2*y**3 + 2*y**2 + y
Let a(c) = -4*c - 263. Let v(o) = 13*o + 782. Determine -7*a(n) - 2*v(n).
2*n + 277
Let d(y) = -y. Let j(w) = 70*w - 2. Give -d(g) - j(g).
-69*g + 2
Let a(y) = 1743*y - 28. Let b(t) = -580*t + 10. Determine 4*a(p) + 11*b(p).
592*p - 2
Let v(o) = -64*o - 3. Let z(a) = -a - 1. Give -v(w) + 6*z(w).
58*w - 3
Let y(b) = -113*b - 5. Let l(p) = 116*p + 7. Give -3*l(i) - 4*y(i).
104*i - 1
Let p(l) = -4*l + 3. Suppose 20 + 29 = 3*y - i, -3*y = 3*i - 33. Let t(g) = -y*g + 7*g - 1 + 10*g. Give -4*p(a) - 10*t(a).
-4*a - 2
Let j(f) = 193*f + 13. Let w(h) = -2*h + 5. Determine j(n) - 3*w(n).
199*n - 2
Let g(t) = 11*t**2 + 6*t + 1. Let m(x) = -12*x**2 - 5*x - 2. What is -2*g(f) - 3*m(f)?
14*f**2 + 3*f + 4
Let k(r) = 2*r**3 - 6*r**2 + 4*r - 2. Let m be (-9)/((-81)/12)*(-27)/(-12). Let s(f) = f**3 - 5*f**2 + 3*f - 2. Determine m*k(w) - 4*s(w).
2*w**3 + 2*w**2 + 2
Let p(b) = -1 - 5 + 7. Let r = 29 - 23. Let m(g) = 2*g + 6. Calculate r*p(h) - m(h).
-2*h
Let l(u) = -12. Let z(k) = -2*k - 8*k + 13*k + 11 - 4*k. Calculate 3*l(p) + 2*z(p).
-2*p - 14
Let f(c) = -4 - 2*c + 6*c**2 + 2*c. Suppose 19 - 88 + 17 = -13*t