Suppose -5*a - 2*k + 72 = 0, -20 = -2*a - 5*k + 13. Determine a*f(r) + 4*g(r).
2*r + 22
Let y(n) = 364*n**2 + 169*n. Let d(z) be the second derivative of -13*z**4/12 - z**3 + 847*z. Determine -169*d(j) - 6*y(j).
13*j**2
Let p = -281 + 278. Suppose 0 = 7*r - 3*r + 4. Let z(t) = 15 + 0*t + 3*t**2 + t**3 - 3*t + 2*t - 14. Let q(a) = -a**2 + a - 1. What is p*q(f) + r*z(f)?
-f**3 - 2*f + 2
Let w(n) = n**3 + 30*n**2 + 20*n - 11. Let k be w(-1). Let o(l) = -l**3 + 1. Let a(b) = 2*b**3 - b - 2. What is k*a(p) - 3*o(p)?
-p**3 + 2*p + 1
Let f(j) = -6*j + 30. Let w = 14371 - 14373. Let r(c) = 0 - 4*c - 6 + 5*c. Let a(t) = w*f(t) - 11*r(t). Let d(i) = -5*i - 25. Determine -25*a(z) - 6*d(z).
5*z
Let g(h) be the first derivative of -7/3*h**3 + 17/4*h**4 + 0*h**2 + 0*h + 8. Let l(b) = 8*b**3 - 3*b**2. Calculate -3*g(i) + 7*l(i).
5*i**3
Let o(g) = -8766*g - 4870. Let y(k) = 3*k + 2. What is o(f) + 2435*y(f)?
-1461*f
Let p(i) = i**2 + 1. Let m = 10 + -11. Let c(t) = 2 + 7 + 8 - 12 + 5*t**2. Determine m*c(l) + 4*p(l).
-l**2 - 1
Let x(q) = 6*q**2 + q - 1. Let b(v) = 38*v**2 + 1441*v - 7. Give -b(s) + 6*x(s).
-2*s**2 - 1435*s + 1
Let y(v) = 6*v**3 + 20*v**2 - 12*v - 65. Let c(m) = -7*m**3 - 21*m**2 + 15*m + 67. What is 4*c(n) + 5*y(n)?
2*n**3 + 16*n**2 - 57
Let o = 12990 + -12995. Let f(w) = 32*w - 6 - 11 + 3. Let q(r) = 11*r - 5. Determine o*f(p) + 14*q(p).
-6*p
Let o(z) = 11*z. Let a(q) = 14144*q. Determine a(x) - 1088*o(x).
2176*x
Let n(f) = 5*f - 1. Let h be ((-19)/(76/(-8)))/1. Let m(d) be the second derivative of -d + 0*d**h + 1/6*d**3 + 0. Give 3*m(p) - n(p).
-2*p + 1
Let r(m) = 0 - 3 + 5 - 2 + m. Let x(b) = b**3 - 13*b**2 + 3*b - 38. Let w be x(13). Let t(l) = 15*l - 2. Determine w*t(j) - 6*r(j).
9*j - 2
Let u(c) = -4*c**2 - 1. Let a(h) = 20*h**2 + 4. Suppose 8 = j + 4*m, 3*j - 3 = 4*m + 5. Suppose -56 = 8*w - j*w. Determine w*u(z) - 3*a(z).
-4*z**2 + 2
Let a(w) = 1875*w. Let o(b) = 161872*b. What is -604*a(l) + 7*o(l)?
604*l
Let s(o) = -3*o**2 + 21*o - 46. Let q(x) = x**2 - 8*x + 16. Calculate 11*q(n) + 4*s(n).
-n**2 - 4*n - 8
Let z(b) = -4*b**2 + b**3 - 2*b + 0*b**2 - b**3 - 2*b**3 + 2. Let g(m) = 2*m**3 + 3*m**2 + 2*m - 1. Let d = 759 - 756. Determine d*z(l) + 4*g(l).
2*l**3 + 2*l + 2
Let k be 6 - 1*3/(-1). Let h(g) = -5*g**2 - 5*g. Let u = 853 - 851. Let x(v) = 4*v + 15 - 3*v - 15 + v**2. Give k*x(b) + u*h(b).
-b**2 - b
Let p be (-2)/7 + 24/84. Let h(a) = -5 + p + a - 4*a. Let t(j) = j + 1. Let z be 6/(-6)*(-15)/1. Calculate z*t(q) + 3*h(q).
6*q
Let f(u) = -4*u**2 + 8*u - 6. Let g(s) = -7*s**2 + 15*s - 11. Suppose -651 = -5*b - 676. Calculate b*f(m) + 3*g(m).
-m**2 + 5*m - 3
Let h(i) = -7*i**3 - i**2 + i + 1. Let c(x) = 22*x**3 + 13*x**2 - 7*x. What is -c(q) - 3*h(q)?
-q**3 - 10*q**2 + 4*q - 3
Let f(l) be the first derivative of -2*l**2 - l - 2. Let c be (3/27)/((-35)/315). Let k(r) = -r**2 - 1. What is c*k(d) + f(d)?
d**2 - 4*d
Let z(c) = 1 + 5*c**2 + 1 + 1. Let t(f) = -334*f**2 + 4*f + 378*f**2 + 26 - 4*f. Let m = 108 + -56. Determine m*z(a) - 6*t(a).
-4*a**2
Let d(t) = -14*t**2 + 6*t. Let j(x) = x**3 - 14*x**2 + 8*x. Calculate 3*d(g) - 2*j(g).
-2*g**3 - 14*g**2 + 2*g
Let m(i) = -27*i**2 + 15*i + 12. Let v(b) = 3*b**2 - 11324*b + 4*b**2 - 3 + 11320*b. Calculate -4*m(r) - 15*v(r).
3*r**2 - 3
Let v(x) = x**3 - x**2 + 2*x + 8. Let k(s) = 6*s**3 - s**2 - 183*s + 41. Give -k(f) + 5*v(f).
-f**3 - 4*f**2 + 193*f - 1
Let m(l) = 2213*l - 18. Let s(a) = -2212*a + 12. Give 2*m(n) + 3*s(n).
-2210*n
Let i(y) = 9*y + 3551. Let z(b) = 3*b + 1162. What is -4*i(j) + 11*z(j)?
-3*j - 1422
Let t(y) = 3823*y + 3. Let m be t(0). Let i(k) = 3*k**3 - 3*k**2 - 4*k - 14. Let h(r) = -r**3 + r**2 + r + 5. Calculate m*i(s) + 8*h(s).
s**3 - s**2 - 4*s - 2
Let w(a) = 4506790*a**3 + 12188*a**2 - 6094*a + 73128. Let r(x) = 2219*x**3 + 6*x**2 - 3*x + 36. What is -12188*r(y) + 6*w(y)?
-4432*y**3
Let r(f) = -f**3 + f**2 - 5*f. Let j(u) = 4*u**3 + 172*u**2 - 10*u. Calculate -j(a) + 2*r(a).
-6*a**3 - 170*a**2
Let z(n) = 4*n - n**3 + 14 - 4*n**3 + 10*n + 3 + 11*n**2. Let f(w) = 2*w**3 - 4*w**2 - 5*w - 6. Let h = -677 + 681. Give h*z(d) + 11*f(d).
2*d**3 + d + 2
Let d(j) = -7*j - 4. Let w(a) = 3 + 1963*a + 3 - 1957*a - 2. Determine 3*d(i) + 4*w(i).
3*i + 4
Let s(i) = -126*i - 441. Let g(n) = 2*n + 16. Determine -28*g(r) - s(r).
70*r - 7
Let w(z) = 20*z + 9. Let r(p) = 13*p + 6. Let g(a) = -8*r(a) + 5*w(a). Let j(f) = -f - 1. Calculate g(h) - 6*j(h).
2*h + 3
Let c(z) = z**3 - 2*z**2 - 5*z. Let f(n) = 8*n**3 + 13*n**2 + 14*n + 10. What is 3*c(h) + f(h)?
11*h**3 + 7*h**2 - h + 10
Let g(u) = 47*u**3 + 257*u**2 + 6*u - 2. Let j(f) = 35*f**3 + 254*f**2 + 5*f - 3. Give 3*g(w) - 4*j(w).
w**3 - 245*w**2 - 2*w + 6
Let j(d) = d - d - 3*d - 11 + 29 - 6*d. Suppose -401*y - 5 = -406*y. Let o(k) = k - 1. Calculate y*j(m) + 18*o(m).
9*m
Let r(h) = 169*h**2 - h**3 - 163*h**2 - 2*h - 4*h**3. Let s = 6 - 13. Let p(z) = -6*z**2 - z**2 + 285*z**3 - 279*z**3 + 0*z**2 + 2*z. Give s*r(u) - 6*p(u).
-u**3 + 2*u
Let n(d) = -2*d**2 + 17*d + 3. Let f(b) = 123*b - 157*b + 3*b**2 - 141 + 136. Determine -3*f(c) - 5*n(c).
c**2 + 17*c
Let w(d) = -2*d**3 + 52*d**2 - 7*d + 29. Let m(p) = 3*p**3 - 79*p**2 + 11*p - 44. Give -5*m(c) - 8*w(c).
c**3 - 21*c**2 + c - 12
Let x(j) = -j + 5. Let p(q) = q**2 - 82*q + 1111. Let v be p(65). Let s(o) = 2. Calculate v*x(d) - 13*s(d).
-6*d + 4
Let s(b) = -b**2 - b - 1. Let c = 3419 + -3417. Let u(d) = d**3 + 2*d**2 + 3*d + 2. What is c*s(v) + u(v)?
v**3 + v
Let k(d) = 1301*d**2 - 3*d + 81. Let g(a) = -649*a**2 + a - 36. Determine 9*g(b) + 4*k(b).
-637*b**2 - 3*b
Let p(u) = 2*u**3 - 230*u**2 + 5*u + 5. Let g(m) = -114*m**2 + 2*m + 2. Calculate 5*g(d) - 2*p(d).
-4*d**3 - 110*d**2
Let z(n) = n**2 + 5*n + 25. Let l(x) = x**2 + 4*x + 21. Let m(t) = 6*l(t) - 5*z(t). Let r(v) = 4*v**2 - 5*v + 4. Let y = 6 - 7. What is y*r(p) + 3*m(p)?
-p**2 + 2*p - 1
Let k(o) = 27*o - 288. Let w(s) = -15*s + 143. Determine -3*k(p) - 5*w(p).
-6*p + 149
Let h = 1141 + -1143. Let w(u) = -u. Let a(c) = -7*c**2 + 3. Determine h*w(b) + a(b).
-7*b**2 + 2*b + 3
Suppose -88 = -160*p - 888. Let n(f) = 31*f**3 - 5*f**2 - 5*f - 5. Let t(u) = -u**2 - u - 1. Give p*t(x) + n(x).
31*x**3
Let a(k) = 8. Let r(n) = 86*n - 24. Determine 2*a(h) + r(h).
86*h - 8
Let w(l) = 97*l - 4 - 198*l + 4 + 95*l. Let n = 29 - 27. Let x(q) = -2*q - n*q + 2*q + 3*q. Determine -4*w(y) - 27*x(y).
-3*y
Let h(c) = c**3 - c**2 + 2*c - 7. Let x(r) = 5*r**3 - 4*r**2 + 9*r - 28. Let i(v) = 364*v + 2175. Let d be i(-6). What is d*h(s) + 2*x(s)?
s**3 + s**2 + 7
Let v(u) = u - 11. Suppose 5*s = 2*s + 6. Suppose s = -2*a + 3*a. Let l(f) be the first derivative of 5*f - 566. Calculate a*v(o) + 5*l(o).
2*o + 3
Let l(j) = -1100*j**3 + 121*j + 121. Suppose -5*r + 2*r = 2*u + 3, -2*r - 12 = 3*u. Let k(f) = 55*f**3 - 6*f - 6. Calculate u*l(x) - 121*k(x).
-55*x**3
Let t(g) = -863*g**2 + g + 33. Let m(u) = -172*u**2 + 6. Calculate 11*m(k) - 2*t(k).
-166*k**2 - 2*k
Let h(f) = 116*f - 84. Let z(d) = -619*d + 419. Calculate 16*h(r) + 3*z(r).
-r - 87
Let u(q) = -9*q. Let p(o) = 5*o**2 + 14*o - 41. Let x be p(-12). Let w = x - 500. Let g(v) = 5*v. Give w*g(r) + 6*u(r).
r
Let f(o) = -18*o**2 - 2*o + 35. Let a(v) = -73*v**2 - 9*v + 142. Calculate -2*a(c) + 9*f(c).
-16*c**2 + 31
Let x(y) = 2*y - 7. Let r(s) = -2*s**2 - 11*s + 128. What is r(b) + 5*x(b)?
-2*b**2 - b + 93
Let h(j) = 464*j**2 + 9. Let b(f) = -424*f**2 - 8. Give 4*b(y) + 3*h(y).
-304*y**2 - 5
Let n(i) = 41*i - 393. Let j(m) = 14*m - 147. Determine 17*j(l) - 6*n(l).
-8*l - 141
Let h(g) = -g**3 - g + 1. Let n(a) = -3*a**3 - a**2 + a. Let m = 18071 + -18070. What is m*n(b) + 2*h(b)?
-5*b**3 - b**2 - b + 2
Let b(s) = 22*s - 5. Let p(a) = a + 91. Let w(t) = 18. Let f(r) = p(r) - 5*w(r). Determine -b(x) - 5*f(x).
-27*x
Let n(t) = t**2 + 8*t - 16. Let i be n(-9). Let v(l) = 21*l - 149. Let o be v(7). Let u(f) = -10*f**2 + 7. Let w(x) = 3*x**2 - 2. What is i*w(a) + o*u(a)?
-a**2
Let r(l) = 225638*l**3 + 1136*l**2 + 1136*l + 1136. Let i(z) = 994*z**3 + 5*z**2 + 5*z + 5. What is 1136*i(d) - 5*r(d)?
994*d**3
Let p(u) = -9. Let i(h) = -52. Let j(q) = -i(q) + 6*p(q). Let o(x) = -9*x - 3 + 19*x - 11*x. Suppose -b = -2*b + 4. Determine b*j(c) - 3*o(c).
3*c + 1
Let p = 85 - 66. Let t = p + -16. Suppose 12*m - t*m = -27. Let