g + 8. Suppose 2*z - 7 = 3. Let c(j) = 5*j + 31 - 24 + 3*j**3 - 12 - 5*j**2. Determine z*b(r) + 8*c(r).
-r**3
Suppose -3 = 3*o - 0. Let d = o + 7. Let l(c) = 4*c**3 - c. Let v(b) be the third derivative of -b**6/24 + b**4/24 - 423*b**2. Give d*l(k) + 5*v(k).
-k**3 - k
Let a(f) = 4*f**3 - 2*f - 5. Let k(y) = -6*y**3 + 3*y + 7. Let h be 870/(-27) + 10/45. Let p be (h - -18)*(-1)/(-2). Give p*a(x) - 5*k(x).
2*x**3 - x
Let a(l) = 2*l**2 + l - 3. Let d = 67 - 62. Let p(k) = -17 + 3*k - 4*k**2 + 3*k**2 + d*k**2 + 10. Let u be (-5 + 0)*(2 - 1). Calculate u*a(n) + 2*p(n).
-2*n**2 + n + 1
Let l(b) = 21*b. Let q = -4 + -1. Let s(j) = 6*j. Suppose 4*k - 7*k + 84 = 4*m, 0 = -3*k + 12. Determine m*s(i) + q*l(i).
3*i
Let g(n) = 7*n**3 - 7*n**2 - 16*n + 11. Let m(a) = 6*a**3 - 6*a**2 - 13*a + 10. Give -5*g(c) + 6*m(c).
c**3 - c**2 + 2*c + 5
Let z(t) be the second derivative of t**4/12 - t**2/2 + 37*t + 2. Let x(a) = -5*a**2 - a + 2. What is x(j) + 3*z(j)?
-2*j**2 - j - 1
Let p(b) = -10*b + 0 + b**3 + 18*b - 3 + 2*b**2 - 14*b + 5. Let o(r) = 2*r**3 + 4*r**2 - 11*r + 4. What is -6*o(m) + 11*p(m)?
-m**3 - 2*m**2 - 2
Let c(y) = 5*y**3 + 3*y**2 + 6. Let p(a) = -3 + 59*a**3 - 547*a**2 + 545*a**2 - 63*a**3 - 3. What is -2*c(l) - 3*p(l)?
2*l**3 + 6
Let i(k) = -6*k**3 + 4*k**2 - 4*k + 4. Let u(j) = -17*j**3 + 12*j**2 - 11*j + 11. Calculate -11*i(w) + 4*u(w).
-2*w**3 + 4*w**2
Let f(k) = 31*k**3 - 6. Let t(a) = -1. Determine -f(s) + 6*t(s).
-31*s**3
Let n(s) = 4*s + 13. Suppose -5*m - 4*o = -0*m - 50, -2*m + 5*o - 13 = 0. Suppose -m*k - 63 = 3*k. Let z(h) = h + 4. Calculate k*z(w) + 2*n(w).
w - 2
Let z(v) = -1071*v**3 - 24*v**2 + 48*v + 24. Let o(m) = -214*m**3 - 5*m**2 + 10*m + 5. Determine -24*o(n) + 5*z(n).
-219*n**3
Let a(l) = -2*l + 3. Let k = -3 - -7. Suppose 1 + 1 = 3*w + k*c, 2*w - 3*c = 7. Let p(u) = -54*u - 47*u - 52*u + 154*u - 1. What is w*a(n) + 5*p(n)?
n + 1
Let b(f) = -4*f**2 + f + 2. Let w(h) = -105 + 106 - 2*h**2 - h**2 + 6*h - 5*h. Calculate 4*b(a) - 6*w(a).
2*a**2 - 2*a + 2
Let d(z) = -z - 47. Let p(i) = -3*i - 188. Calculate -9*d(r) + 2*p(r).
3*r + 47
Let a(n) = -n**2. Let m(i) = -7*i**2 - 6*i + 1. Determine -2*a(p) - m(p).
9*p**2 + 6*p - 1
Let t(f) = 5*f**2 - 8*f - 7. Let r be (-40)/(-30) + (-245)/(-21). Let i(a) = 11*a**2 - 17*a - 15. Give r*t(l) - 6*i(l).
-l**2 - 2*l - 1
Let m(r) be the second derivative of 5/6*r**3 + 0 - 5/12*r**4 - 7/2*r**2 + 17*r - 1/20*r**5. Let d(t) = t**3 + 6*t**2 - 6*t + 8. Calculate -5*d(s) - 6*m(s).
s**3 + 2
Let f(b) = b**2 - b - 1. Suppose 0 = 23*c - 309 + 102. Let y(i) = 2*i**2 - 3*i - 3. What is c*f(l) - 4*y(l)?
l**2 + 3*l + 3
Let o(d) = -5*d - 2. Let w(u) = u + 1. Suppose a = -f + 6*f - 6, -4*f = 4*a. Calculate f*o(p) + 4*w(p).
-p + 2
Let g = -2 - -4. Let o be (((-15)/4)/5)/(264/(-1760)). Let y(v) = -3*v + 3. Let f(x) = 6*x - 7. What is g*f(z) + o*y(z)?
-3*z + 1
Let r be (5 + 0 - 0) + -2. Let w(z) = -2*z**2 + 8*z + 1. Suppose 3*m = 3*g + 6, -5*g - 5 = -88*m + 84*m. Let y(n) = n**2 - 4*n - 1. Calculate m*y(q) + r*w(q).
-q**2 + 4*q - 2
Let f(p) = 127*p - 21. Let s(n) = -318*n + 50. Determine 12*f(j) + 5*s(j).
-66*j - 2
Let o(f) = -5*f**3 + 2*f**2 + 2*f + 2. Let t(n) be the second derivative of -4*n**5/5 + 7*n**4/12 + 7*n**3/6 + 7*n**2/2 - 21*n + 3. What is -7*o(z) + 2*t(z)?
3*z**3
Let a be 2 + 1 + (0 - 1). Suppose 0 = 5*o + 17 - a, p + 4*o + 9 = 0. Let g be 3*1/p*-1. Let b(k) = -7*k + 5. Let m(t) = -t + 1. Determine g*b(q) + 6*m(q).
q + 1
Let k(w) = -3*w + 13. Let d(u) = 7*u - 26. Calculate 4*d(t) + 10*k(t).
-2*t + 26
Let v(y) = -31*y**2 + 9*y + 13. Let t(w) = 14*w**2 - 4*w - 6. Let x(m) = -9*t(m) - 4*v(m). Let f(n) = -2*n**2 + 1. Give -5*f(k) + 4*x(k).
2*k**2 + 3
Let t(y) = -y**2 + 9*y - 15. Let v be t(3). Let k(p) = -9*p + 3. Let c(d) = 10*d - 4. What is v*c(n) + 4*k(n)?
-6*n
Let f(p) = 8*p - 5. Let y = -7 - -47. Let n(k) = -24 + y*k + 17*k - 18*k. Calculate 24*f(z) - 5*n(z).
-3*z
Let r(u) = 6*u**3 + 3*u**2 + 4. Let a(f) = f**3 - f**2. Give 5*a(b) + r(b).
11*b**3 - 2*b**2 + 4
Suppose -3*j + 5*u - 21 = 0, -5*j - 59 + 37 = -4*u. Let t(x) = 4*x**2 + 3*x - 8. Let n(b) = b**2 + b - 1. Determine j*n(q) + t(q).
2*q**2 + q - 6
Let w(p) be the first derivative of -81*p**2/2 + 33*p + 153. Let o = 3 - -2. Suppose 0 = -o*t + 8 + 2. Let n(l) = 5*l - 2. Determine t*w(c) + 33*n(c).
3*c
Let y(x) = 5*x**3 - 56*x + 8. Let n(a) = 2*a**3 - 19*a + 3. What is -11*n(o) + 4*y(o)?
-2*o**3 - 15*o - 1
Let f(q) = -2*q**2 - 2*q - 1. Let j(m) = -m. Suppose 4*y + 3*c = 14, 34*y - 35*y = -4*c + 6. What is y*f(g) - 6*j(g)?
-4*g**2 + 2*g - 2
Let y(m) = 2*m**3 - 17*m**2 + 5*m - 5. Let p(d) = 2*d**3 - 18*d**2 + 6*d - 6. What is -5*p(v) + 6*y(v)?
2*v**3 - 12*v**2
Suppose 0 = 4*w - 4*r - r + 19, -2*w + 2*r - 10 = 0. Let k(g) = 16*g - 6. Let s(q) = 15*q - 5. Give w*s(l) + 5*k(l).
-10*l
Let x(s) = 3*s**2 - 5. Suppose -5*k + 2 = -2*r, -r + 0*k + 12 = 4*k. Suppose 5*l = r*l - 5. Let h(o) = o**2 - 2. Give l*h(y) + 2*x(y).
y**2
Let q(d) = 31*d + 1. Let g(y) = -154*y - 6. What is -2*g(a) - 11*q(a)?
-33*a + 1
Let b(z) = 2*z**2 + 19*z. Let u(p) = -8 + 12 - 71*p + 81*p - 4 + p**2. Calculate -6*b(c) + 11*u(c).
-c**2 - 4*c
Suppose 0 = 8*c + 442 + 502. Let d = 119 + c. Let w(u) = 12*u. Let v(b) = -b. Determine d*w(j) + 8*v(j).
4*j
Suppose 0 = -t + 4*t + 12. Suppose -4*d - 204 = -5*u, 0*d + 52 = u + 2*d. Let q(h) = -10*h**2 - 11*h - 11. Let l(g) = -g**2 - g - 1. Give t*q(b) + u*l(b).
-4*b**2
Let b(k) = k**3 + 367*k**2 + 3*k - 4. Let y(w) = 2*w**3 + 1102*w**2 + 8*w - 11. Calculate -8*b(s) + 3*y(s).
-2*s**3 + 370*s**2 - 1
Suppose -12*z = -20 - 52. Let x(r) = -3*r**3 + 6*r**2 + 6*r - 6. Let y(w) = -8*w**3 + 17*w**2 + 17*w - 17. Give z*y(u) - 17*x(u).
3*u**3
Let x(p) = -63*p + 4. Let d(n) = 61*n - 4. What is -2*d(y) - 3*x(y)?
67*y - 4
Let z(x) = -x**2 - x + 3. Let i(o) = -78*o - 2*o**2 + 35*o + 42*o + 5. Let l(v) = v**3 + 6*v**2 + 3. Let s be l(-6). Give s*i(a) - 5*z(a).
-a**2 + 2*a
Let o(p) = 7*p - 6. Suppose 5*r + 2*u = 27, 4*r = -2*u + 3 + 19. Suppose -26 = r*x + d - 0, 8 = 2*d. Let w(s) = s - 1. Determine x*w(i) + o(i).
i
Let n(g) = g**3 - g**2 - 2*g + 5. Let v be n(0). Let f(o) = 4. Let q(b) = b + 5. What is v*q(u) - 6*f(u)?
5*u + 1
Let z(w) = -19*w**2 + 2*w. Let x(l) = -21*l**2 + 2*l. Determine 3*x(c) - 4*z(c).
13*c**2 - 2*c
Let w(m) be the third derivative of -m**5/15 + 7*m**3/6 + 3*m**2 - 1. Let k(o) = -3*o**2 + 5. Calculate 7*k(t) - 5*w(t).
-t**2
Let z = 407 - 400. Let a(c) = -c. Let v(l) = 0*l - 1 + 11*l - 8*l. Calculate z*a(w) + 2*v(w).
-w - 2
Let u(w) = w**3 + 8*w**2 + 7*w + 2. Let r be u(-7). Suppose -l = -r*l + 4. Let n(m) = -2*m + 6*m + m + 4 - 3*m. Let a(z) = -3*z - 5. Give l*a(v) + 5*n(v).
-2*v
Let w = -4 - -9. Let c(b) be the third derivative of b**4/4 - 5*b**3/6 + b**2 - 188*b. Let a(k) = -7*k + 6. Give w*a(u) + 6*c(u).
u
Let j(u) = -u**2. Suppose -267*v + 24 = -271*v. Let l(q) = -8*q**2 + 1. Let c be (1*4 - -1)*1. Suppose 0*d = -5*d + c. Determine d*l(a) + v*j(a).
-2*a**2 + 1
Let b(n) = -1 + 6 + n**2 - 8 + 4 - 2. Let w(j) = 28*j**2 - 6. Determine 6*b(o) - w(o).
-22*o**2
Let n(q) = -20*q**3 + 40*q**2 + 40*q - 53. Let m(a) = 7*a**3 - 14*a**2 - 14*a + 18. Calculate -17*m(d) - 6*n(d).
d**3 - 2*d**2 - 2*d + 12
Let k(x) = -x**3 + x**2 - x + 1. Let u be (3 - 2) + (-126)/(-14). Let f(h) = -1 + 11 - 16*h**3 + 20*h**2 - 20*h + u. Determine -f(w) + 20*k(w).
-4*w**3
Let v(k) = -55*k + 8. Let o(n) = 221*n - 35. Calculate -2*o(q) - 9*v(q).
53*q - 2
Let n(x) = 60*x - 216. Let f(r) = 12*r - 43. Determine -16*f(k) + 3*n(k).
-12*k + 40
Let h(o) = 57*o**2 - 53. Let j(n) = 11*n**2 - 11. Give -2*h(k) + 11*j(k).
7*k**2 - 15
Let f(g) = g - 5. Let d(r) = 1 + r - 2 - 2. Let j be ((-1)/(78/18 - 4))/(-1). Determine j*f(m) - 5*d(m).
-2*m
Let r(f) = -2*f - 1. Let j(y) = 38. Determine -j(w) - 38*r(w).
76*w
Let t(a) = a**2 + 4. Let h(j) = -3*j**2 - 9. Suppose -k + 9 = y, -10 = 5*k + 3*y - 51. Determine k*t(v) + 3*h(v).
-2*v**2 + 1
Let a(j) be the third derivative of -j**6/120 + j**4/24 + j**3/6 - 120*j**2. Let g(o) = o - 2. Suppose 0 = -5*r - 4*n + 1, 2 = r - n. Determine r*a(q) + g(q).
-q**3 + 2*q - 1
Let j(t) = -t + 2. Let a(v) = 5*v - 1. Let o(z) = 2*z + 1. Let s(f) = a(f) - 2*o(f). Calculate 4*j(u) + 3*s(u).
-u - 1
Let o(s) be the second derivative of -s**3/6 - s**2/2 + 364