 8. Let b(c) = 5*n(c) - 8*v(c). Let l(o) = -o**3. Calculate -b(w) - 2*l(w).
2*w**3 - w
Let q(w) = 3*w**2 - 6*w + 3. Let j be q(2). Let x(k) = -10*k**2 - 3*k. Let f(p) = -170*p**2 - 50*p. Give j*f(b) - 50*x(b).
-10*b**2
Let w(o) = -9*o**2 + 3. Let q(d) = -1. Let h = 495 - 493. Calculate h*q(u) + w(u).
-9*u**2 + 1
Let t(p) = -190*p**3 - 190*p**2 + 95. Let h(r) = r**3 - 2*r**2 + 1. What is -95*h(a) + t(a)?
-285*a**3
Let j(m) = -5*m. Let g(k) = 6*k. Let b be 14/(-4)*(3 - 5). Suppose 0 = -2*z + b*z - 30. What is z*g(u) + 7*j(u)?
u
Let a be 304/(-22) - 4/22. Let o(z) = -z**3 - 16*z**2 - 28*z - 2. Let j be o(a). Let t(n) = -7*n + 2. Let l(m) = m - 1. Give j*l(k) - t(k).
5*k
Let n(j) = 22 + 1 - 8 - 10. Let l(b) = -b + 6. What is -2*l(r) + 3*n(r)?
2*r + 3
Let s(b) = -5*b**3 + b**2. Let r(g) = -29*g**3 + 17*g**3 + 3*g**3 + 8*g**3 + 0*g**3. Determine 3*r(y) - s(y).
2*y**3 - y**2
Let d(l) = -2*l**2 - 6*l + 6. Suppose -2*o - 27 = -s, -5*o = -s + 24 - 6. Suppose 30 = s*g - 28*g. Let n(k) = k - 1. Determine g*n(f) + d(f).
-2*f**2
Let f(d) = -d - 1. Let x(u) be the second derivative of -2*u**2 + 455*u. What is 8*f(l) - 2*x(l)?
-8*l
Let r(v) = -v**3 - 3*v**2 - 4*v + 2. Let p = 879 + -881. Let t(q) = -4*q**3 - 10*q**2 - 13*q + 7. Determine p*t(k) + 7*r(k).
k**3 - k**2 - 2*k
Let p(m) = 11*m + 5. Let w = -118 + 110. Let u(d) = d. Let t(b) = 8*b + 3. Let c(v) = t(v) - u(v). Determine w*c(j) + 5*p(j).
-j + 1
Let g(u) = -u**2 - 3. Let x(k) = 3*k**2 + 3*k + 1. Determine 4*g(q) + x(q).
-q**2 + 3*q - 11
Let q(a) = -2352*a**2 - 98*a + 49. Let d(s) = 147*s**2 + 6*s - 3. Give 98*d(u) + 6*q(u).
294*u**2
Let n(m) = -16*m - 69. Let s be n(-4). Let z(u) = u**3 - u**2 + 1. Let l(j) = -3*j**3 + 5*j**2 - 3*j - 5. Give s*z(v) - l(v).
-2*v**3 + 3*v
Let c(z) = z**2 + z - 1. Let p(o) be the first derivative of -1/4*o**4 + 4*o - o**2 - 1 - 1/3*o**3. Let l be -10 - -2 - 324/(-36). Give l*p(t) + 2*c(t).
-t**3 + t**2 + 2
Let i(t) = 3*t**2 - 6*t - 6. Let g(k) = -k**2 - k - 1. Let m be 3 - (-3)/((-3)/4). Determine m*i(p) + 6*g(p).
-9*p**2
Let v(n) = -9*n**2 - 5*n - 6. Let o(s) = -25*s**2 - 14*s - 17. Give 4*o(k) - 11*v(k).
-k**2 - k - 2
Suppose -5 = -5*g - 15, 0 = 5*d + 2*g + 9. Let n(m) = 4*m + 12. Let i(s) = -1. What is d*n(l) - 12*i(l)?
-4*l
Let m(g) be the third derivative of -g**6/120 - g**3/2 + g**2. Let l(c) = 2*c**3 + 8. Give 3*l(r) + 8*m(r).
-2*r**3
Let x = -63 + 62. Let z(o) = o. Let b(a) = 36*a. Give x*b(v) + 27*z(v).
-9*v
Let u(r) = r**3 + r - 1. Let o(t) = -2*t**3 - 4*t + 5. Calculate -2*o(w) - 10*u(w).
-6*w**3 - 2*w
Suppose 6*r - 2*r - n + 12 = 0, 0 = n + 4. Let k(o) = o**2 + 3*o + 4. Let u(t) = -t - 1. What is r*u(j) - k(j)?
-j**2 + j
Let p(k) = 13*k**3 - 9*k + 9. Let i(r) be the third derivative of -16*r**2 + 1/12*r**4 + 0*r**5 - 1/40*r**6 + 0 + 0*r - 1/3*r**3. Give 9*i(n) + 2*p(n).
-n**3
Let g(n) = 2*n**2 - 6*n + 6. Let d(t) = -25*t**2 + 70*t - 70. Let l(s) = 6*d(s) + 70*g(s). Let f(p) = -9*p**2. Suppose 3*o - 6 = 6. Calculate o*l(k) - 5*f(k).
5*k**2
Let x(y) = -9*y + 8. Let d(s) = 6*s - 5. Let w(v) = 8*d(v) + 5*x(v). Let h(c) = c**2 - 4*c. What is -5*h(g) - 6*w(g)?
-5*g**2 + 2*g
Let l(p) = p**3 + p**2 + p - 5. Let v(c) = 11*c**3 + c**2 + 6*c - 23. Give 6*l(w) - v(w).
-5*w**3 + 5*w**2 - 7
Let t(d) be the first derivative of d**2/2 - 1. Let j(k) be the third derivative of -k**4/8 + 231*k**2. Determine -3*j(h) - 7*t(h).
2*h
Let s(h) = -4 + 0 + 3. Let b(m) = m - 1. Suppose -g + 2 + 1 = 0. Suppose 5*f = 5*d - 5, 4*d = g*d + 2*f + 3. Determine d*b(r) + 2*s(r).
-r - 1
Let k(y) = -y. Let t(x) be the second derivative of x**4/6 - x**3/3 + x**2 - 14*x. Calculate 4*k(u) - t(u).
-2*u**2 - 2*u - 2
Let n be (1/(-3))/(-5 - -4)*9. Suppose 6 = -o - n*b, 2*b - 7*b = 3*o + 38. Let l(d) = 12*d + 21. Let i(x) = -3*x - 5. Calculate o*i(j) - 5*l(j).
3*j
Let b(p) = -4*p - 5. Let q(j) = 7*j + 9. Let g = -1315 + 1304. Give g*b(v) - 6*q(v).
2*v + 1
Suppose 0 = 5*b - 2*b - 5*a + 14, 2*b = 4*a - 12. Let s(h) = h**2 - 3*h. Let y(p) = p**3 - p**2. Calculate b*y(g) + s(g).
2*g**3 - g**2 - 3*g
Let w(r) = 5*r + 8. Suppose -2*k + 6 = -2*g, g + 2*g - 26 = -4*k. Let n(v) = 1 - 5 + 4 - g - v. Determine 9*n(z) + 2*w(z).
z - 2
Let p(k) = -3*k**2 - 8*k + 1. Let v(u) = 15*u**2 + 39*u - 5. What is -11*p(r) - 2*v(r)?
3*r**2 + 10*r - 1
Let v(y) = 5 + 1 - 2 + y + 2*y. Let i(j) = -7*j - 9. Let z(a) = a**3 - 11*a**2 - 123*a - 58. Let w be z(18). Determine w*i(x) - 9*v(x).
x
Let l(s) = -4*s**2 - 7*s + 5. Suppose -2*w + 0*i + i = -40, -3*w - 2*i = -74. Let d(f) = -16 - 4*f**2 - 8*f + w - f**2. Give -5*d(q) + 6*l(q).
q**2 - 2*q
Let a be (-3)/(-8) + 54/(-16). Let r(n) = -n - 3. Let x(t) = -2. Determine a*r(y) + 4*x(y).
3*y + 1
Let i(k) = -k + 3. Let m(d) = -22*d + 12. Calculate -10*i(s) + m(s).
-12*s - 18
Suppose 0 = -20*n + 18*n + 2. Let q(g) = -2*g**3 + 2*g**2 + 2*g + 2. Let y(o) = o**2 - o - 1. Give n*q(s) + 2*y(s).
-2*s**3 + 4*s**2
Let s(t) = -2*t - 1. Let g(b) = -2*b - 44. Calculate -g(i) + 4*s(i).
-6*i + 40
Let t(k) = -26*k**2 - 26*k - 180. Let m(s) = -5*s**2 - 5*s - 36. Determine -16*m(d) + 3*t(d).
2*d**2 + 2*d + 36
Let j(t) = 3*t - 3. Let r(k) = 4*k + 1. Let p(u) = -u. Let m(b) = 5*p(b) + r(b). Let w be 12/114 + 105/(-95). Give w*m(l) - j(l).
-2*l + 2
Let r(d) = d. Let x(t) = 6*t - 45. Calculate 4*r(o) - x(o).
-2*o + 45
Let h be (2/(-1) - -5) + 2. Let s(i) = i**2 - i. Suppose -16 = -6*b + 8. Suppose 2*o = -2*o + b. Let d(j) = -7*j**2 + 7*j - 2. Give h*s(q) + o*d(q).
-2*q**2 + 2*q - 2
Let p(u) = -u - 1. Let l = -24 + 69. Suppose -4*z + l = 5*x, -2*z = 4*x + x - 35. Let k(q) = 7*q + 4. Let n(h) = h + 1. Let i be n(0). Give i*k(w) + z*p(w).
2*w - 1
Let x(i) = i**2 + 1. Let o(u) = 5*u**2 + 6. Let w(z) = z**2 + 5*z + 4. Let h be w(-3). Let d be (-4 - h)/((-36)/15 + 2). Calculate d*o(l) - 30*x(l).
-5*l**2
Let h(v) = -127*v**2 + 6. Let k(z) = 1396*z**2 - 64. What is 32*h(r) + 3*k(r)?
124*r**2
Let g(l) = -l + 11. Let s(o) be the third derivative of o**4/6 - 17*o**3/3 + 308*o**2. What is -10*g(y) - 3*s(y)?
-2*y - 8
Let a(n) = -3*n**3 - 6*n**2 + 8*n - 2. Let k(s) = 2*s**2 - s - 1. Let w(t) = -a(t) - 3*k(t). Let j(z) = -3*z**3 + 6*z - 6. Give 5*j(b) + 6*w(b).
3*b**3
Let p(x) = -105*x**3 - 2*x - 3. Let h(i) = 105*i**3 + 2*i + 4. Calculate -3*h(t) - 4*p(t).
105*t**3 + 2*t
Let k(p) = p - 1. Suppose -53*m + 36 = -71*m. Let z(q) = -q + 2. Determine m*z(w) - 4*k(w).
-2*w
Let k(n) = 19*n**2 - 2*n - 10*n**2 - 7*n**2 + 2. Let r(x) = x**2 - x. Determine k(t) - 3*r(t).
-t**2 + t + 2
Let s(x) = -x**2 - 19*x - 78. Let n be s(-12). Let v(y) = -2*y - 3. Let a(u) = u + 1. Calculate n*v(l) + 13*a(l).
l - 5
Suppose -5*s + 5*v - 5 = 0, 0*s + 4*s + 3*v - 10 = 0. Let n(l) = l. Let z(i) = -2*i**3 - 2*i - 1. Determine s*z(j) + 2*n(j).
-2*j**3 - 1
Let o(p) = 2*p + 3. Let k(m) = -2*m + 1 - 4 - 1. Suppose 4*b - 61 - 15 = 0. Let h = b + -24. Calculate h*o(a) - 4*k(a).
-2*a + 1
Let a(m) = 11*m**3 + 2*m**2 + 93*m + 5. Let j(h) = 2*h**3 + h + 1. Give a(u) - 5*j(u).
u**3 + 2*u**2 + 88*u
Let j(h) = -67*h - 4. Let k(q) = 5964*q + 355. What is -355*j(o) - 4*k(o)?
-71*o
Let k(h) = -5*h**2 + 9*h. Let s(d) = -14*d**2 + 26*d. Suppose 0 = 12*m + 69 + 3. Determine m*s(u) + 17*k(u).
-u**2 - 3*u
Let l(r) = -19*r + 4*r + 10*r + 16 + 6*r. Let i(p) = 4. Let k(c) = -1. Let t(w) = -3*i(w) - 15*k(w). Let u be (1*3)/(9/(-6)). Calculate u*l(y) + 11*t(y).
-2*y + 1
Let z(h) = 19*h + 10*h - 56*h + 10*h + 15*h. Let b(k) = k**2 + 8*k - 2. Let a be b(-8). Let v(q) = -q + 1. Suppose 0 = 4*c - 3*c - 2. Determine a*v(r) + c*z(r).
-2*r - 2
Let s(x) = 2*x - 15. Let b be s(8). Let k(g) = g**2 - g. Let m(l) = -5*l**2 + 9*l - 5. Let i(y) = 3*k(y) + m(y). Let t(z) = z - 1. Calculate b*i(q) - 4*t(q).
-2*q**2 + 2*q - 1
Let b(t) = -2. Let c(v) be the second derivative of v**4/12 + v**3/6 - 3*v**2 - 3*v. Suppose -3*j = 2*k - 29, 5*j + 2 = 4*k - 1. Give k*b(h) - 2*c(h).
-2*h**2 - 2*h - 2
Let p(f) be the third derivative of f**6/30 + f**5/12 - 2*f**2. Let k(d) = 2*d**3 + 2*d**2. What is -14*k(l) + 6*p(l)?
-4*l**3 + 2*l**2
Let y(l) = 5*l - 6. Let z be y(6). Suppose -4 = z*h - 20*h. Let t(n) = -n**2 + 1. Let b(p) = -2*p**3 + 12*p**2 - 12. Determine h*b(s) - 12*t(s).
2*s**3
Let b(h) = 4*h. Let l(u) = -3*u - 1. Let s be (9 - -1)/(-14*4/(-28)). Determine s*l(q) + 4*b(q).
q - 5
Let o(t) = 7*t**2