- 8. Let a(b) = p(b) - 3*t(b). What is -2*a(n) + 7*s(n)?
n**2 + 2*n - 4
Let m(f) = -2*f + 1. Let a(b) = -4*b + 2. Calculate -6*a(l) + 11*m(l).
2*l - 1
Let g(h) = 10*h. Suppose 0 = t - 0 - 5. Let q(w) = 29*w - 1089. Let v(y) = 15*y - 594. Let p(b) = 6*q(b) - 11*v(b). Calculate t*p(j) - 4*g(j).
5*j
Let s(q) = -36*q + 58. Let o(i) = 9*i - 13. What is -9*o(v) - 2*s(v)?
-9*v + 1
Let q(m) = 5*m**3 - 22*m**2 + 6*m - 8. Let x(y) = 10*y**3 - 44*y**2 + 14*y - 18. Calculate -9*q(b) + 4*x(b).
-5*b**3 + 22*b**2 + 2*b
Let y be (-3)/2 - 39/(-6). Let o = -1 - y. Suppose x + 1 = 8. Let z(w) = -3*w**2 + 6*w - 6. Let a(n) = -4*n**2 + 7*n - 7. Give o*a(s) + x*z(s).
3*s**2
Let f(l) = -l**2 - l + 2. Let o be f(0). Let h(c) = 2*c**2 - 2*c. Let w(v) = 2002*v - 995*v - 8*v**2 - 998*v. Calculate o*w(j) + 9*h(j).
2*j**2
Suppose g + 0*t + 13 = -5*t, -t = -g + 5. Let u(k) = 5*k - 4*k + 3 - g*k. Let m(s) = -3. Let j(n) = -13. Let y(w) = -j(w) + 4*m(w). Calculate -u(p) + y(p).
p - 2
Let h(l) = 11*l**2 - 3*l - 1. Let k(f) = -12*f**2 + 2*f. Let d be -3 + -4 + 6 + (-3)/3. What is d*h(j) - 3*k(j)?
14*j**2 + 2
Let i(k) = 1. Let r be (-1 - -1)*(-6 + 7). Suppose r = 18*z - 23*z + 15. Let m(h) = h + 1. Calculate z*i(u) - 2*m(u).
-2*u + 1
Let u(s) = -130*s - 65. Let c(d) = 10*d + 5. Calculate -40*c(o) - 3*u(o).
-10*o - 5
Let u(k) = -5*k - 20. Let f be u(-8). Let s = f + -19. Let h(m) = -m**3. Let d(x) be the third derivative of -x**6/15 + x**2. What is s*d(n) - 6*h(n)?
-2*n**3
Let f(j) = 7*j + 1218. Let g(n) = 5*n + 1212. Calculate -3*f(t) + 4*g(t).
-t + 1194
Let k(u) = u**2 - u - 1. Let g(y) = -2*y**2 + y + 5. What is -g(d) - 5*k(d)?
-3*d**2 + 4*d
Let i be 3*(4 + -5) - -31. Let m(y) = -i - 19 + 5*y + 9*y**3 + 47. Let k(x) be the first derivative of 7*x**4/2 + 4*x**2 - 2. Calculate 5*k(g) - 8*m(g).
-2*g**3
Let z(j) = 5*j**3 - j**2 + 3*j + 2. Let s(b) = -11*b**3 + 2*b**2 - 6*b - 5. Let r(v) = -14*v + 191. Let h be r(14). Determine h*z(t) - 2*s(t).
-3*t**3 + t**2 - 3*t
Let r(s) = -7*s - 7. Let i(t) = 3*t + 3. Let y be 1/((-2)/(-8)) + 101 + -95. Calculate y*i(h) + 4*r(h).
2*h + 2
Let j(a) = a**3 + 4*a**2 - 15*a - 21. Let s be j(-6). Let u(n) = 5*n**3. Let c(b) = b**3. Determine s*c(g) + u(g).
2*g**3
Let k(x) = -x**2 + 4*x + 7. Let o be k(6). Let f(i) = 2*i - 1. Suppose -3*w = 2*w - 50. Let d(t) = -3*t - 2 - 6 + w. Determine o*f(v) - 4*d(v).
2*v - 3
Let o(w) = 49*w + 5. Let q(k) = -99*k - 8. Give -5*o(p) - 3*q(p).
52*p - 1
Let c(u) = -5*u. Suppose -3*n - 2*d - 14 = 0, -3*n + 4*d + 8 = n. Let r(p) = -6*p. What is n*r(o) + 3*c(o)?
-3*o
Let t(c) be the third derivative of -c**4/12 + c**3/3 - 25*c**2. Let k be (-65)/(-9) + (-2)/9. Let d(o) = k + 2*o + 3*o - 11. Give -4*d(q) - 9*t(q).
-2*q - 2
Let q(w) = -2*w**2 + 15*w - 13. Let l(p) = 2*p**2 - 10*p**2 + 44*p + 2*p**2 - 39. Let t(f) = 6*l(f) - 17*q(f). Let k(x) = -x**2 + 4*x - 6. Give 9*k(j) - 4*t(j).
-j**2 - 2
Suppose -h + 4*h = -l + 46, 4*h - 43 = -5*l. Let o(x) be the first derivative of 3 - 8*x - 7/2*x**2. Let u(k) = 20*k + 23. Calculate h*o(w) + 6*u(w).
w + 2
Let t(i) = -6*i**3. Let g(b) = -2*b**3 + b**2 + 3*b + 1. Let r be g(2). Let q(v) = 5*v**3. Calculate r*q(j) - 6*t(j).
11*j**3
Suppose 2*o - 3*s - 8 = -4*s, 0 = -4*o + s + 4. Let r(q) = -11*q + 2. Let w(x) = 55*x - 11. What is o*w(p) + 11*r(p)?
-11*p
Let w(p) = 8*p**2 + 7*p - 7. Suppose 0 = -9*d + 5*d + 8. Let n(t) = -t + 1 + 0*t + t**2 - 2*t**d. Calculate 21*n(k) + 3*w(k).
3*k**2
Let p = 7 + -3. Let d(n) = -25*n + 40. Let l(t) = 2*t - 3. Let h(f) = -3*d(f) - 40*l(f). Let w(o) = -o. What is p*w(x) - h(x)?
x
Let p be (-38)/2*1 + 6. Let n(v) = -v**3 - 6*v**2. Let s(t) = -2*t**3 - 13*t**2. Suppose -8 = -4*k, 0 = 4*q - q - 2*k - 14. What is p*n(y) + q*s(y)?
y**3
Let b(o) = o**3 + 2*o**2 + 2*o. Let d(z) = -211*z**3 + 3*z + 5*z**2 - 3*z + 3*z - 2*z**2 + 212*z**3. Let l = 3 - 1. Determine l*d(m) - 3*b(m).
-m**3
Let x be 1 + -13 + 3 + 3. Let v(s) = 9*s**2 + 12*s - 5. Let h(d) = -8*d**2 - 11*d + 4. Let w(t) = x*h(t) - 5*v(t). Let o(g) = g**2 + g. What is 6*o(f) - w(f)?
3*f**2 - 1
Let p(j) = 6*j**2 - 3*j - 11. Let i(z) = 7*z**2 - 4*z - 11. Determine -5*i(h) + 6*p(h).
h**2 + 2*h - 11
Let s(h) = -9*h**3 + 7*h**2 - 7*h. Let m = 119 + -132. Let a(p) = -19*p**3 + 15*p**2 - 15*p. What is m*s(c) + 6*a(c)?
3*c**3 - c**2 + c
Let h(q) = 3*q**2 + 37. Let t(p) = -10*p**2 - 111. Determine -21*h(o) - 6*t(o).
-3*o**2 - 111
Let h(t) = -3*t**2 + t. Let l(n) = n**2 - 2*n. Let q(d) = -d. Let x(a) = l(a) - 3*q(a). Let u = -249 - -248. Give u*x(r) + h(r).
-4*r**2
Suppose 1 = 5*t - 4. Let i(b) be the first derivative of b**2/2 + 4*b - 1. Let n(l) be the second derivative of l**2/2 + 19*l - 2. What is t*i(m) - 6*n(m)?
m - 2
Let a(z) = z**2 - z + 1. Let b = -958 - -959. Let v(y) = -3*y**3 - 4*y**2 + 3*y - 4. Determine b*v(j) + 4*a(j).
-3*j**3 - j
Let s(c) be the first derivative of c**2/2 - c - 418. Let b(z) = 6*z - 16. Give -b(o) + 8*s(o).
2*o + 8
Let o(p) = 2*p**2 + 9*p + 6. Let x(d) = -570*d + 3*d**2 + 566*d - 4*d**2 - 3. Calculate 4*o(g) + 9*x(g).
-g**2 - 3
Let z(t) = t**3 - 7*t**2 + 5*t - 9. Let w(q) = -4*q**2 + 3*q - 5. Calculate -5*w(l) + 3*z(l).
3*l**3 - l**2 - 2
Let c(k) = k + 14. Let q(g) = -g + 2. What is c(u) - 6*q(u)?
7*u + 2
Let l(k) = k - 1. Let x(a) = -6. Let b(o) = 7*o**3 - 3*o**2 - 4*o + 1. Let q be b(-1). Determine q*l(y) + x(y).
-5*y - 1
Let k(i) = -i - 9. Let m(j) = 20*j + 71. Let o(a) = 7*a + 25. Let h(x) = -6*m(x) + 17*o(x). Give -3*h(p) + k(p).
2*p - 6
Let r(w) = -2*w**3 - 4*w**2 + 3*w - 1. Let y(b) = 2*b**2 - 4*b**3 + 2 + 0*b**3 - b**2 + 7*b**3 - 4*b + 4*b**2. Determine 4*r(o) + 3*y(o).
o**3 - o**2 + 2
Let q be (1 - -9)/(-5) - 4. Let z(h) = -3*h + 6. Let i(s) = 0 - 3 + 2. Give q*i(c) - z(c).
3*c
Let w(m) = -844344*m**2. Let t(g) = -1297*g**2. Give -1303*t(n) + 2*w(n).
1303*n**2
Let o(z) = 5*z**2 - 5*z - 66. Let p(q) = -4*q**2 + 4*q + 64. Determine 2*o(h) + 3*p(h).
-2*h**2 + 2*h + 60
Let a(w) = 7*w**2 - 2*w - 7. Let n(v) be the second derivative of v**4/2 - v**3/3 - 3*v**2 - 6*v - 1. Determine 5*a(d) - 6*n(d).
-d**2 + 2*d + 1
Let a(i) = 1. Let p(b) = 29*b + 7. Determine 5*a(h) - p(h).
-29*h - 2
Let q(o) = -o**3 - o + 1. Let r(s) = 98*s**3 + 3*s - 3. What is -3*q(n) - r(n)?
-95*n**3
Let z(g) = -2*g**2 - 5*g + 1. Suppose 28*p + 45 = 33*p. Let o(f) = -3*f**2 + 26*f + 10. Let x be o(p). Let y(c) = -c + 1. Determine x*y(t) - z(t).
2*t**2 + 4*t
Let y(r) be the third derivative of -r**3/6 + 112*r**2. Let c(n) = 13*n + 13. Give -c(k) - 13*y(k).
-13*k
Let p(q) = -10*q - 1. Let s be p(-1). Let o(x) = 2655 - 1325 - 1332 + 7*x. Let f(l) = -29*l + 8. What is s*o(z) + 2*f(z)?
5*z - 2
Let g(z) = -919*z**3 + 4*z - 4. Let n(m) = -1069719*m**3 + 4655*m - 4655. Calculate 4655*g(l) - 4*n(l).
931*l**3
Let w(d) = d**2 + 1. Let g(r) = 3*r - 2*r**2 - 1 - 3*r**2 - 4. Let n be (-6 - 0)*(2 - 3). What is n*w(t) + g(t)?
t**2 + 3*t + 1
Let c(v) = 8*v - 8. Let m(s) = -3 + 2 + 7 - 4 - 2*s. Calculate 2*c(u) + 9*m(u).
-2*u + 2
Let m(q) = q + 2. Let t(p) = -p - 2. Suppose 0 = o + 2*w + 2*w + 7, 0 = w + 3. Let u(x) = o*t(x) + 6*m(x). Let c(b) = -1. Give 6*c(y) + 3*u(y).
3*y
Let k be 9*(-1)/(-6 + 9). Let i(u) = u**2 + 5*u + 1. Let a be i(-3). Let y(q) = -2*q - 4. Let l(m) = 4*m + 7. Give a*y(t) + k*l(t).
-2*t - 1
Let b(a) = -106*a + 20. Let h(k) = 52*k - 11. Determine 6*b(r) + 11*h(r).
-64*r - 1
Let j(r) = -r**3 + 13*r**2 + 7*r + 191. Let d(c) = 4*c**2 + 2*c + 63. Calculate 7*d(b) - 2*j(b).
2*b**3 + 2*b**2 + 59
Let w(r) = -r**3 + 9*r**2 - 12*r + 31. Let l be w(8). Let g(x) = x**2 + 6*x - 5. Let s(h) = h - 1. Determine l*g(f) + 4*s(f).
-f**2 - 2*f + 1
Let p(w) = -6*w**2 + 122*w - 5. Let q(j) = -21*j**2 + 426*j - 18. What is -18*p(a) + 5*q(a)?
3*a**2 - 66*a
Let n(b) = 2*b**3 - b**2 - 4*b. Let t(o) = 2*o**3 - o**2 - 5*o. Suppose 53*r - 55*r + 22 = 0. Suppose -4*m = -9 - r. Determine m*n(k) - 4*t(k).
2*k**3 - k**2
Let i(a) = -a**3 - 2*a - 6. Suppose 0 = -27*m - 11 - 178. Suppose 3*p + t = 21, 0 = -p - p + 2*t + 6. Let b(g) = -g**3 - 2*g - 5. What is m*b(x) + p*i(x)?
x**3 + 2*x - 1
Let q(n) = 2. Let a(m) = -2*m**2 + 521. Give -a(h) - 3*q(h).
2*h**2 - 527
Let u(t) = -285*t**3 + 30*t. Let s(y) = 2*y**3 - 2*y. Calculate -15*s(l) - u(l).
255*l**3
Let f(q) = 1281*q**2 - 61*q. Let k(b) = -64*b**2 + 3*b. What is -3*f(z) - 61*k(z)?
61*z