- 2. Let a(c) = 20*c**3 - 5*c**2 + 5*c - 11. Determine -a(o) + 5*r(o).
-20*o**3 + 1
Let y(s) = -83*s - 3. Let t(v) = -83*v - 4. Give 2*t(c) - 3*y(c).
83*c + 1
Let q be (-10 + 2 + 0)/(-3 - -1). Let z(f) = -6*f**3 + 4*f**2 + 4*f. Let k(y) = y**3 - y**2 - y. Let o = -9 - -10. What is o*z(i) + q*k(i)?
-2*i**3
Let l(x) be the third derivative of -24*x**2 + 0 - 11/6*x**3 + 1/20*x**5 + 0*x + 1/8*x**4. Let k(q) = -5*q**2 - 5*q + 17. What is -5*k(u) - 8*l(u)?
u**2 + u + 3
Let g(y) = -348*y**3 - 6*y**2 - 16*y + 8. Let b(u) = 116*u**3 + 2*u**2 + 6*u - 3. Calculate 8*b(c) + 3*g(c).
-116*c**3 - 2*c**2
Let u(d) = -d**2 - d - 1. Let c(v) = 27*v**2 + 9*v + 9. Calculate -2*c(g) - 18*u(g).
-36*g**2
Let m(u) = 7*u**3 + 5*u**2 + 5*u + 5. Let r(p) be the third derivative of 0*p + 7/6*p**3 + 1/12*p**6 + 7/60*p**5 + 0 + p**2 + 7/24*p**4. Give -7*m(w) + 5*r(w).
w**3
Let u(n) = 18*n + 6. Let m(x) = 6*x + 2. Let s = 337 - 333. What is s*u(v) - 11*m(v)?
6*v + 2
Let g(v) = -6*v + 2 - 2 + 4. Let i = -1 - -10. Let f(k) = 2*k - 11*k + 22*k - i. What is 4*f(w) + 9*g(w)?
-2*w
Let b(u) = -3 + 0*u - 6*u + 7*u. Let d(s) = -2*s + 4. Suppose -5*m + 5*t - 2*t + 21 = 0, -18 = -4*m + 3*t. Determine m*b(x) + 2*d(x).
-x - 1
Let w(n) = 2*n + 1. Let t be (-3 - (0 - -1)) + -30. Let j = t - -32. Let m(f) = f**2 - 5*f - 3. Calculate j*m(g) - 5*w(g).
-2*g**2 + 1
Let j(f) = -2*f**2 - 2*f. Let c(v) be the third derivative of v**5/20 + 5*v**4/24 + 117*v**2. What is 2*c(x) + 5*j(x)?
-4*x**2
Let b(n) = 69*n - 35*n - 33*n - 4. Let h(s) = 2*s - 6. Suppose 0*f = -f + 2*k + 3, 0 = -k + 1. Calculate f*h(y) - 8*b(y).
2*y + 2
Let c(m) = -193*m**2 + 2*m + 3. Let f(a) = 2*a**2 + 1. Give -c(p) + 5*f(p).
203*p**2 - 2*p + 2
Let x(s) = s. Let w(t) = 11*t - 9*t + t - t + 5*t. Determine -6*w(v) + 34*x(v).
-8*v
Let r(g) = -13*g + 1. Let t(a) = 5*a. Determine -2*r(f) - 14*t(f).
-44*f - 2
Let u(x) = -5*x**2 - 4*x + 4. Let z(v) = -4*v**2 - 3*v + 3. Let a(f) = 3*u(f) - 4*z(f). Let g(k) = -13*k**2. What is -6*a(l) - g(l)?
7*l**2
Let g(q) = 3*q**3 - 3*q**2 + 6*q + 7. Let p(w) = 3*w**3 - 2*w**2 + 5*w + 6. Determine 6*g(c) - 7*p(c).
-3*c**3 - 4*c**2 + c
Let n(p) = -119*p + 38. Let t(o) = 120*o - 31. Give -4*n(l) - 5*t(l).
-124*l + 3
Let d = 2 + 1. Let o(y) = -2*y**3 - 2*y**2 + 6*y - 4. Let k(q) be the first derivative of -q**4/2 - q**3/3 + 5*q**2/2 - 3*q + 325. What is d*o(f) - 4*k(f)?
2*f**3 - 2*f**2 - 2*f
Let s(k) = -5*k**3 + 11*k**2 - 2*k + 4. Let z(i) = 3*i**3 - 12*i**2 + 2*i - 3. Determine 2*s(x) + 3*z(x).
-x**3 - 14*x**2 + 2*x - 1
Let o = 12 - 17. Let v(b) = 5*b + 11. Let p(y) = -7. Let x(h) = h + 14. Let t(w) = -5*p(w) - 3*x(w). Calculate o*v(l) - 8*t(l).
-l + 1
Let n(g) = 9*g**3 - 3*g**2 - 6*g + 3. Let l(m) = 18*m**3 - 5*m**2 - 12*m + 5. What is 3*l(i) - 5*n(i)?
9*i**3 - 6*i
Let v(u) = 6*u**3 - 91*u**2 + 11*u + 5. Let g(c) = -c**3 + c**2 - 2*c - 1. Determine -5*g(w) - v(w).
-w**3 + 86*w**2 - w
Let m(u) = 893*u - 6. Let a(q) = 891*q - 5. Determine -6*a(g) + 5*m(g).
-881*g
Let c(d) = -3*d**3 + 4*d**2 + 4*d - 84. Let r(o) = 3*o**3 - 5*o**2 - 5*o + 85. Give -5*c(k) - 4*r(k).
3*k**3 + 80
Let y(l) = 2108*l**2 - 170. Let g(h) = 37*h**2 - 3. Calculate -170*g(z) + 3*y(z).
34*z**2
Let s(f) = 11*f - 13. Suppose 0 = -3*i - 18*i - 63. Let w(b) = -4*b + 4. Determine i*s(r) - 8*w(r).
-r + 7
Let d(f) = -9*f**3 - 7*f**2 + 3*f. Suppose 4*a + q + q + 4 = 0, -4*q = -5*a - 31. Let s(w) = -5*w**3 - 4*w**2 + 2*w. What is a*d(l) + 5*s(l)?
2*l**3 + l**2 + l
Suppose 2*q = -4, -n - 132*q + 3 = -134*q. Let c(g) = g. Let l(y) = 15*y**2 + 2*y. Calculate n*l(r) + 2*c(r).
-15*r**2
Let t(y) = -488*y**2 - 2*y + 2 + 483*y**2 - 7 + 17*y. Let h(q) = -q**2 + 3*q - 1. Determine 11*h(k) - 2*t(k).
-k**2 + 3*k - 1
Let a(o) = 10*o + 64. Let m be a(-7). Let r(g) = 2*g - 6*g + g**2 + 9*g**2 - 5*g**2. Let z(w) = -11*w**2 + 8*w. What is m*z(u) - 13*r(u)?
u**2 + 4*u
Let h(y) = 27*y + 17. Let g(t) = 57*t + 32. Determine -3*g(z) + 5*h(z).
-36*z - 11
Let f(i) = 7*i - 2. Let w(d) = -388*d + 795*d - 11 - 371*d. Determine -11*f(h) + 2*w(h).
-5*h
Let r = 4 + -13. Let c(y) be the first derivative of 11*y**4/4 - 5*y**3/3 - 227. Let u(x) = -21*x**3 + 9*x**2. Calculate r*c(d) - 5*u(d).
6*d**3
Let c(o) = 45*o - 4. Let x(t) = 22*t - 2. Calculate 3*c(z) - 7*x(z).
-19*z + 2
Let l(g) = 6*g**2 - g + 7. Let r(h) = -11*h**2 + h - 16. Let u(t) = 5*l(t) + 2*r(t). Let m = -34 - -35. Let c(p) = p**2 - p + 1. Give m*u(y) - 3*c(y).
5*y**2
Let f(l) = 1 - 5448*l - 5451*l + 10898*l. Let z(q) = 3*q + 3*q - 2 - 2. Determine -5*f(d) - z(d).
-d - 1
Let u(b) = -14*b**3 + 5*b**2 + 8*b - 8. Let h = 6 + -2. Let n = h + -4. Let y = -8 - n. Let t(x) = 9*x**3 - 3*x**2 - 5*x + 5. Calculate y*t(z) - 5*u(z).
-2*z**3 - z**2
Let y(d) = 163*d**3 - 16*d**2 + 7*d. Let x(n) = -54*n**3 + 5*n**2 - 2*n. Give 7*x(q) + 2*y(q).
-52*q**3 + 3*q**2
Let g(l) = l + 8. Let i be g(4). Suppose -32 = 4*h - i. Let y(a) = -4*a**2 + 4. Let n(t) = -5*t**2 + 5. Give h*n(d) + 6*y(d).
d**2 - 1
Let j(m) = -m**3 + 22*m**2 - 2*m + 49. Let z = 76 + -54. Let x be j(z). Let i(d) = -4*d**2 + 2*d + 1. Let c(a) = 9*a**2 - 5*a - 3. Give x*i(r) + 2*c(r).
-2*r**2 - 1
Let p(n) = -171*n + 3. Let s(i) = -115*i + 2. What is -5*p(x) + 7*s(x)?
50*x - 1
Let o(t) = 291*t - 1. Let h(s) = -291*s + 1. Give 5*h(g) + 6*o(g).
291*g - 1
Let g be 2/(-8) + (-65)/(-4). Let t(z) = z**3 + z**2 - 1. Let r(n) = 24*n**3 + 16*n**2 - 16. Determine g*t(i) - r(i).
-8*i**3
Let u(j) = -11*j - 4. Let r(n) be the second derivative of -5*n**3/6 - n**2 + 46*n + 1. Calculate 13*r(t) - 6*u(t).
t - 2
Let y(j) = 2*j**2 - j + 1. Let k(g) = 5*g**2 - 3*g + 2. Let p be (610/(-80) - -8)/(1/8). Determine p*k(v) - 8*y(v).
-v**2 - v - 2
Suppose -2*b + 12 = -0*b. Let f(a) = -8*a**3 - 8*a**2 + 7*a. Let t be 4/16*0/(-3). Let j(z) = t*z - z**2 - z**3 - z + z + z. Give b*j(k) - f(k).
2*k**3 + 2*k**2 - k
Let h(m) = 272*m + 1. Let t(p) = 2*p. Give -h(z) - 5*t(z).
-282*z - 1
Let a(i) = -23*i**3 - 11*i**2 + 11*i. Suppose 3*y - 6 + 15 = 0, -3*h - 4*y = -6. Let r(m) = 6*m**3 + 3*m**2 - 3*m. Determine h*a(j) + 22*r(j).
-6*j**3
Let y(o) = -o**3 - 16*o - 6. Suppose 0 = v + 4*v - 20. Suppose p + d = 5, -7 - 1 = 2*p - v*d. Let s(l) = 3 + 0*l - p + 0 + 3*l. Calculate -11*s(h) - 2*y(h).
2*h**3 - h + 1
Let p = -17 + 19. Suppose p = 6*j - 40. Let v be ((-12)/j)/(2/(-7)). Let o(c) = c**3 + 6*c**2 - 6. Let y(i) = -i**3 - 5*i**2 + 5. Determine v*y(x) + 5*o(x).
-x**3
Let o(w) = -w + 11. Suppose -8*g + 24 = -4*g. Let m be o(g). Let t(y) = -9*y**2 + 7*y + 6. Let q(f) = 5*f**2 - 4*f - 3. Give m*q(z) + 3*t(z).
-2*z**2 + z + 3
Let x(d) = 223*d**2 - 84*d**2 - 137*d**2 - 13 + 3*d. Let i(c) = c**2 + 2*c - 7. What is -5*i(m) + 3*x(m)?
m**2 - m - 4
Let y(f) = -2*f**2 - 6*f + 4. Let g(q) = 17*q**2 + 24*q - 29. Let w(m) = 25*m**2 + 37*m - 43. Let j(d) = 7*g(d) - 5*w(d). Determine 6*j(l) - 17*y(l).
-2*l**2 + 4
Let h(s) = 1. Let u(f) = 3*f - 27. Determine 5*h(v) - u(v).
-3*v + 32
Suppose -35*j + 55*j = -60. Suppose -3*c + c = 4*z + 54, 3*z = -4*c - 38. Let f(w) = -6*w - 14. Let o(l) = l + 3. Determine j*f(b) + z*o(b).
4*b
Let r(x) = -3*x**2 + 4*x**2 + 4 - 3*x + 2*x + 3*x. Let p(s) = 1. Determine -2*p(v) + r(v).
v**2 + 2*v + 2
Let y(w) = 3*w**2 - 3*w**2 - 33*w**2 - 8*w + w + 17*w**2. Let b(q) = -5*q**2 - 2*q. Calculate -21*b(l) + 6*y(l).
9*l**2
Let z(w) = -8*w + 56. Let j(b) = -22*b + 167. What is -3*j(a) + 8*z(a)?
2*a - 53
Let p be (2/(-5))/(((-6)/(-20))/(-3)). Let m(n) = -6*n**3 + 7. Let q(i) = -5*i**3 + 6. Determine p*q(s) - 3*m(s).
-2*s**3 + 3
Suppose -3*m = -8*m - 5. Let a(i) = -i + 1. Let l(o) = o**3 - 3*o**2 - 8*o - 9. Let n be l(5). Let q(z) = 1. Calculate m*a(c) + n*q(c).
c
Suppose -699*c + 2 = -697*c. Let g(r) = -8*r - 2. Let s(d) = -d - 1. Give c*g(t) - 6*s(t).
-2*t + 4
Let l(n) = 18*n**3 + 17*n**2 + 6*n + 9. Let h(j) = 19*j**3 + 20*j**2 + 7*j + 10. Give 5*h(b) - 6*l(b).
-13*b**3 - 2*b**2 - b - 4
Let b(w) = 203*w**3 - 7*w - 7. Let x(s) = -135*s**3 + 5*s + 5. Give -5*b(o) - 7*x(o).
-70*o**3
Let x(b) = -376*b - 14. Let g(m) = m + 7. What is -6*g(n) - 3*x(n)?
1122*n
Let u(k) = -5*k + 2. Let n(f) be the third derivative of f**4/4 - f**3/2 - 43*f**2. Give -2*n(s) - 3*u(s).
3*s
Let q(z) = 1. Let u = 4 - -61. Let j = u - 61. Let p(v) = -2*v - 7. Give j*q(h) + p(h).
-2*h - 3
Let a = 25 - 33. Let c(y) = y**2 + 5. L