 = 1. Determine w(h) + 2*y(h).
41*h + 2
Let o(t) = -4*t**2 + 12*t + 6. Let r(u) = -2*u**2 + 6*u + 3. Let q(n) = -n**2 + 40*n + 822. Let c be q(55). Calculate c*o(j) + 5*r(j).
2*j**2 - 6*j - 3
Let m(s) = 2*s**2 + 4*s - 7. Let l(f) = 9*f - 4. Let u be l(1). Let t(c) = -c + 1. What is u*t(a) + m(a)?
2*a**2 - a - 2
Let d(r) = 8*r**2 - 2*r - 56. Let b(q) = 12*q**2 - 3*q - 85. Calculate 5*b(h) - 8*d(h).
-4*h**2 + h + 23
Let u(d) = -21*d - 16. Let f(g) = 43*g + 30. What is 6*f(t) + 11*u(t)?
27*t + 4
Let f(p) = -p + 128 - 260 + 138. Let u(k) = -1. Calculate 5*f(t) + 30*u(t).
-5*t
Let j(r) = 1. Let b be (35/(-25))/(-2 - 9/(-5)). Let o(y) = -y - 4. Calculate b*j(f) + 2*o(f).
-2*f - 1
Suppose -2*w = -46 - 22. Let a(f) = 18*f**2 + 17*f. Let b(i) = -3*i**2 - 3*i. Calculate w*b(x) + 6*a(x).
6*x**2
Let z(f) = 4*f**2 + 5*f - 5*f + 4*f - 15*f**3 + 0*f + 3*f. Let r(i) = i + 4*i - i + 0*i + 2*i**2 - 8*i**3. Determine 11*r(y) - 6*z(y).
2*y**3 - 2*y**2 + 2*y
Let l(y) = -y**2 - 42*y. Let w(o) = o**2 + o. Give l(d) + 2*w(d).
d**2 - 40*d
Let m(o) = -4*o - 2. Let h(j) = -5*j - 3. Let w(s) = 22*s - 1. Let t be w(2). Let x = t - 41. What is x*h(a) - 3*m(a)?
2*a
Let a(h) = 3*h**3 + 6*h**2 + 6*h. Let z(n) = -n**2 - n. Let u(b) = 2*b**2 + 2*b - 2. Let s be u(-3). Suppose -q - s*q = -11. What is q*a(j) + 6*z(j)?
3*j**3
Let p(t) = -15 - 51*t + 28*t + 19*t. Let n(z) = -2*z - 7. What is 13*n(m) - 6*p(m)?
-2*m - 1
Let d = -36 + 38. Let l(b) be the third derivative of -b**5/30 + b**4/8 - 5*b**3/6 + 5*b**2. Let k(q) = -q**2 + q - 2. What is d*l(o) - 5*k(o)?
o**2 + o
Let d(c) = 114048*c - 6048. Let m(u) = 283*u - 15. Determine 5*d(a) - 2016*m(a).
-288*a
Let s(o) = 5*o + 3. Let a be ((-2)/(-4) - 2)/(15/(-10)). Suppose -3*j + a = v, -7*v + 4*j = -6*v - 8. Let h(b) = 2*b + 1. Determine v*s(w) - 11*h(w).
-2*w + 1
Let c(n) = -180*n + 42. Let q(b) = -60*b + 15. What is -6*c(k) + 17*q(k)?
60*k + 3
Let v(s) = -1 + 3 - 3. Let c(p) = 2*p**2 - 3*p**2 + 4 + 4*p - 4*p. What is -c(l) - 2*v(l)?
l**2 - 2
Let q(b) be the second derivative of -5*b**3/6 + 2*b**2 + 4*b - 18. Let s(j) = -14*j + 11. What is -11*q(w) + 4*s(w)?
-w
Let l = 17 + -12. Let r(m) = 2 + 2*m + 3 - l + 2. Let b(q) = 5*q + 6. Suppose 3*z + 11 = -13. Determine z*r(g) + 3*b(g).
-g + 2
Let z(q) = -q**3 + q**2 + q. Let g(y) be the second derivative of -27*y**5/20 + 15*y**4/4 + 15*y**3/2 + 263*y - 2. Determine g(p) - 45*z(p).
18*p**3
Let y(w) = w - 1. Let k(p) = -2*p + 2. Let o be (-1)/(((-6)/(-40))/(15/20)). Determine o*k(v) - 8*y(v).
2*v - 2
Let b(i) = 39*i**3 - i + 4. Let h(t) = -116*t**3 + 3*t - 11. Calculate -11*b(a) - 4*h(a).
35*a**3 - a
Let s(m) = 123*m**2 + 29*m. Let j(y) = 122*y**2 + 31*y. Let v(q) = 3*j(q) - 2*s(q). Let k(h) = 7*h**2 + 2*h. Give 35*k(n) - 2*v(n).
5*n**2
Let y(d) = -d**2 + 5*d - 10. Let t(g) = 2*g**2 - 6*g + 11. Determine 5*t(n) + 6*y(n).
4*n**2 - 5
Let p(g) = 7*g**2 + 8. Let i(a) = -26*a - 195. Let l be i(-8). Let h(b) = -14*b**2 - 17. Determine l*p(x) + 6*h(x).
7*x**2 + 2
Suppose 0 = -3*z - 4*f + 86, -27*z + 29*z = 4*f + 24. Let w(v) = 14*v + 3. Let c(m) = -55*m - 11. Give z*w(y) + 6*c(y).
-22*y
Let m = 3 + -14. Let q(g) be the first derivative of 2*g**2 + 13*g + 11. Let d(w) = 2*w + 7. Calculate m*d(y) + 6*q(y).
2*y + 1
Let n(i) = i**2 - 3*i + 11. Let u(j) = -j**2 + j - 6. Calculate 3*n(w) + 5*u(w).
-2*w**2 - 4*w + 3
Let j(n) = 25. Let y(o) = o**2 + 1. Give j(w) - 4*y(w).
-4*w**2 + 21
Let n(l) = -l**3 + 13*l - 5. Let i(t) = -2*t**3 + 12*t - 4. Give -3*i(h) + 2*n(h).
4*h**3 - 10*h + 2
Let s(a) = -2*a + 2. Let i = -31 + 60. Suppose -i = -m - m - 5*f, -5*m + 25 = 3*f. Let t(c) = -5*c + 7 + c - m. Calculate -5*s(v) + 2*t(v).
2*v
Let n(s) = s - 1. Let t(q) be the first derivative of -q + 67. Suppose -3*a = -u, -2*a + 5*u + 13 = -0*a. Suppose -2*x + 2 = -0*x. What is a*t(r) + x*n(r)?
r
Let v(a) = 7*a**2 - 6*a. Let r = 3 + -4. Let z(k) = 11*k**3 - k**2 + 1. Let b be z(r). Let q = 24 + b. Let p(s) = -15*s**2 + 13*s. Determine q*v(f) + 6*p(f).
f**2
Let x = 7 - 3. Let m = 45 - 34. Suppose -m - 1 = -x*j. Let n(d) = 2*d**2 + d + 4. Let l(k) = 4*k**2 + 2*k + 9. Determine j*l(u) - 7*n(u).
-2*u**2 - u - 1
Let l(s) = 2*s - 1. Let k(p) = -72*p - 360. Determine k(y) - 360*l(y).
-792*y
Let l(m) = 2*m - 9. Let g be 3/(2 - 8 - -5). Let i(w) = -4*w + 17. Give g*i(h) - 5*l(h).
2*h - 6
Let c(a) = 45*a**2 + 15*a + 5. Let f(b) = 37*b**2 + 16*b + 5. Calculate -5*c(v) + 6*f(v).
-3*v**2 + 21*v + 5
Let k(b) = b. Let z = 1068 + -496. Let w(u) = -z*u**2 + 7*u - 4*u + 569*u**2. What is -3*k(l) + w(l)?
-3*l**2
Let u(k) = -k**2 + 2*k + 3. Let m(l) = -102*l**2 - 2*l - 7. What is m(v) + 2*u(v)?
-104*v**2 + 2*v - 1
Let z(w) = -6*w**2 + 27*w - 1017. Let i(p) = -2*p**2 + 10*p - 339. Calculate -8*i(c) + 3*z(c).
-2*c**2 + c - 339
Let w(f) be the first derivative of f**2/2 + 1415. Suppose 0*n + 3*n - 4*o - 1 = 0, 0 = 4*o + 4. Let k(a) = a**2 + 2*a - 1. What is n*k(i) + 4*w(i)?
-i**2 + 2*i + 1
Let y(v) = 19*v**2 + 84*v - 11. Let d(m) = 7*m**2 + 28*m - 4. Give -8*d(l) + 3*y(l).
l**2 + 28*l - 1
Let w(a) = 8*a - 6. Let k(g) = g**2 + 39*g - 32. Determine 2*k(q) - 11*w(q).
2*q**2 - 10*q + 2
Let x(y) = -21*y - 290. Let g be x(-14). Let b(l) = 5*l**3 - 4*l - 2. Let r(a) = -6*a**3 + a**2 + 5*a + 2. What is g*r(v) + 5*b(v)?
v**3 + 4*v**2 - 2
Let p(y) = 7*y**2 - 12*y. Let m(h) = -22*h**2 + 38*h. Calculate -3*m(q) - 10*p(q).
-4*q**2 + 6*q
Let h(q) = -7*q**3 - 7. Let j = -17 + 21. Suppose 3*z = -j*z - 35. Let m(x) = 3*x**3 + 3. Determine z*m(k) - 2*h(k).
-k**3 - 1
Let n(m) = -3*m - 173. Let g(t) = 7*t + 346. Determine 2*g(b) + 5*n(b).
-b - 173
Let u(k) = -14*k**2 - 3*k + 3. Let n(c) = 22*c**2 + 8*c. Let h(a) = 2*a**2 + a + 1. Let p(l) = 4*h(l) - n(l). Calculate 3*p(y) - 4*u(y).
14*y**2
Let b be (-1)/((-2)/(-4)) + 4. Let y(m) = -2*m**3 + 2*m**2 + 4*m + 2. Let i = 91 + -85. Suppose f + 7 = i. Let q(g) = g**2 + g + 1. Calculate b*q(z) + f*y(z).
2*z**3 - 2*z
Let o be 0 - -1*(2 + -1). Let b(h) = h + 2*h - 7 - 7*h. Let m(w) be the first derivative of w**2/2 + w + 3. Give o*b(u) + 6*m(u).
2*u - 1
Let h(g) = 5*g**2 + 3*g + 1. Let n(b) = 2*b - 19507 + 19507 + 5*b**2. Determine 2*h(o) - 3*n(o).
-5*o**2 + 2
Let p(v) = 6*v**3 + 4*v. Let b(c) = -31*c**3 - 21*c - 1. Suppose 10 = 4*d + 2, 29 = -3*r - 2*d. Determine r*p(m) - 2*b(m).
-4*m**3 - 2*m + 2
Let f(c) = -11*c**2 + 6. Let l(i) = -447*i**2 - 10*i + 233. Let a(t) = 223*t**2 + 4*t - 117. Let p(k) = -5*a(k) - 2*l(k). Give -119*f(y) + 6*p(y).
-17*y**2
Let d(h) = -5*h**2. Suppose -23*m - 60 = -28*m. Suppose -2*r - 2 = 3*z, -3*z + z + m = -2*r. Suppose 0 = -n + 4 - 7. Let f(b) = -4*b**2. Give n*f(y) + z*d(y).
2*y**2
Let z(t) = -1. Let w(k) = 5*k + 4. Let g(d) = d**2 - 2*d - 100. Let u be g(-9). What is u*w(r) - 5*z(r)?
-5*r + 1
Let i(b) = 5*b**2 - 4*b - 40. Let f(p) = -6*p**2 + 6*p + 39. Calculate 4*f(t) + 5*i(t).
t**2 + 4*t - 44
Let r = 710 + -707. Let h(t) = -2*t**3 + 4*t**2 + 3*t - 3. Let a(w) be the second derivative of w**5/20 - w**4/4 - w**3/3 + w**2 - w. Determine r*a(q) + 2*h(q).
-q**3 - q**2
Let l(t) = -5*t**3 - 8*t**2 + 9*t + 32. Let k(p) = -2*p**3 - 3*p**2 + 3*p + 11. Calculate 8*k(h) - 3*l(h).
-h**3 - 3*h - 8
Let t(z) = 7*z + 17. Let y be t(-4). Let i(s) = -5*s. Let g(p) = -p**3 + 26*p + 1. Determine y*i(h) - 2*g(h).
2*h**3 + 3*h - 2
Let l(i) = 65*i**3 - 3*i**2 + 2*i - 3. Let q(g) = 64*g**3 - 4*g**2 + 3*g - 4. Give 3*l(x) - 2*q(x).
67*x**3 - x**2 - 1
Let k(b) = 115 + 14*b**2 - 55 - 63. Let c(h) = -h**2 + 1. What is 3*c(i) + k(i)?
11*i**2
Let u(h) = -38*h**3 - 9*h**2 - 34*h - 11. Let d(q) = -13*q**3 - 3*q**2 - 12*q - 4. Give -17*d(w) + 6*u(w).
-7*w**3 - 3*w**2 + 2
Let l(k) = 90*k**2 - 4*k + 5. Let u(h) = 89*h**2 - 5*h + 6. Determine 5*l(r) - 4*u(r).
94*r**2 + 1
Let g be (-2)/(-3) - 55/15. Let x(o) = 5*o - 23. Let r be x(7). Let j be 0 - (-4 - -1)/(r/(-8)). Let y(c) = -2. Let n(t) = t**2 + 1. Give g*n(l) + j*y(l).
-3*l**2 + 1
Let j(x) = x - 1. Let c(s) = -2*s + 1. Suppose 17*w - 4*o - 4 = 19*w, o + 2 = 0. Determine w*c(f) + 5*j(f).
f - 3
Let q(c) = c**3 - c**2 - c - 1. Let u(x) = x**2 - 6*x - 19. Let n be u(5). Let a(v) = 16*v**3 - 24*v**2 - 24*v - 24. Determine n*q(s) + a(s).
-8*s**3
Let r(q) = -2*q**2 + 2*q - 4. Let b(x) = x**3 + 2*x**2 - 41*x + 25. Let c be b(5). Let n(w) = 3*w**2 - 4*w + 7. Determine c*r(p) -