- 5882. Calculate 5*h(c) - 4*s(c).
-c - 5878
Let c(t) = -t**3 + 2*t**2 + 4*t - 4. Let d(l) = -3*l**3 + 5*l**2 + 11*l - 11. Let j = 453 + -310. Let a = j + -147. Determine a*d(r) + 11*c(r).
r**3 + 2*r**2
Let x = 4489 + -4487. Let u(i) be the first derivative of 25 + 4*i - 1/2*i**4 - x*i**3 - 5/2*i**2. Let d(s) = -s**2 - s + 1. Calculate 5*d(c) - u(c).
2*c**3 + c**2 + 1
Let r(q) = -14*q**3 - 12*q**2 - 37*q - 4. Let i(p) = 40*p**3 + 34*p**2 + 105*p + 11. Give 6*i(o) + 17*r(o).
2*o**3 + o - 2
Let q(w) = -19*w**2 + 30*w - 141. Let s(t) = 10*t**2 - 12*t + 69. Give 2*q(k) + 5*s(k).
12*k**2 + 63
Let u(m) = 3*m - 7. Let r(h) = -4*h - 1. Let v be r(1). Let s = -22381 - -22374. Let b(d) = -4*d + 10. Give s*u(f) + v*b(f).
-f - 1
Let d(b) = 2114*b**3 + 8*b**2 + 4*b + 4. Let j(f) = 6155967*f**3 + 23298*f**2 + 11649*f + 11649. Give -11649*d(s) + 4*j(s).
-2118*s**3
Suppose 7*j - 3*j - 3*q = 32, j - 5*q - 25 = 0. Suppose -c + 4 = 2*c - j*k, 2*c - 1 = 5*k. Let y(z) = 29*z + 8. Let v(p) = 10*p + 3. Calculate c*y(x) - 8*v(x).
7*x
Let r(d) = -9*d**2 + 2*d + 134. Let t(g) = 8*g**2 - g - 69. Calculate 4*r(p) + 7*t(p).
20*p**2 + p + 53
Let w(l) = 2*l + 3. Let p(y) = y**2 - 5*y - 7. Let b = 864 + -871. Determine b*w(o) - 3*p(o).
-3*o**2 + o
Suppose 10 = 2*l - 4*m, 31*l = 26*l + 3*m + 11. Let w(d) = -4*d**3 + 7*d**2 + 4*d. Let g(a) = a**3 + 0*a**2 - a + a**2 - 2*a**2. Determine l*w(z) + 6*g(z).
2*z**3 + z**2 - 2*z
Let r = -47 + 46. Let n(f) = -f. Let c(x) = -x**3 - 5*x**2 + 3*x + 10. Let b be c(-7). Let d(p) = 89*p + b*p - 182*p. Determine r*d(w) + 2*n(w).
4*w
Let y(l) = 15*l**2 - 8*l + 26. Let k(d) = -12*d**2 + 5*d - 27. Determine -4*k(n) - 3*y(n).
3*n**2 + 4*n + 30
Let c(r) = 2*r + 2. Let h(d) = 2*d**2 - 10*d + 447. What is 5*c(v) + h(v)?
2*v**2 + 457
Let b(p) = -p**3 - p**2 + 1. Let r(l) = 5*l**3 + 7*l**2 + l - 18. Let k = -6978 - -6972. Give k*b(i) - r(i).
i**3 - i**2 - i + 12
Let j(x) = 11*x + 77. Let p(b) = 11*b + 76. Determine -3*j(c) + 2*p(c).
-11*c - 79
Suppose 18*q - 14*q - 8 = 0. Let x be (3 + (-12)/5)*5. Let s(p) = -p**x - 30 - 5*p + 35 + 3*p**3. Let n(f) = f**3 - 2*f + 2. What is q*s(c) - 5*n(c)?
-c**3
Let q(n) = 6 - 2 + 19*n**2 + n**3 - 22*n**2 - 5*n**3. Let a(v) = -5*v**3 - 4*v**2 + 5. Let u be (-15)/(-3)*20/(-25). What is u*q(c) + 3*a(c)?
c**3 - 1
Let v(k) = 146*k - 54. Let p(h) = 73*h - 25. What is 13*p(q) - 6*v(q)?
73*q - 1
Let j(s) be the first derivative of 2*s**4 - 20 - 69 - 580*s**3 + 2*s**4 + 578*s**3 + 3*s**2. Let m(l) = -l**3 + l**2 - l. What is j(b) + 6*m(b)?
10*b**3
Let g(t) = 14*t - 1. Let y(j) = 7*j - 1. Let v(h) = 3*g(h) - 5*y(h). Let i(a) = -6*a - 3. Determine -6*i(c) - 9*v(c).
-27*c
Let c(p) = 725*p**2 - 87*p + 87. Let i(x) = 33*x**2 - 4*x + 4. Let v(o) = -21*o + 1348. Let b be v(64). Determine b*c(g) - 87*i(g).
29*g**2
Let d(q) = -3*q**3 - 2*q - 3. Suppose -34*t = b - 33*t - 2, 0 = 5*b + 3*t - 12. Let i(g) = -g**3 + g + 1. Determine b*i(p) + d(p).
-6*p**3 + p
Let v(m) = 5*m - 14813. Let q(g) = g + 62. Calculate -4*q(j) + v(j).
j - 15061
Let v(o) = -3*o**2 - 8*o + 48. Let z(d) = d**2 + 3*d - 16. Suppose -5*b - 14 - 36 = 5*f, 5*b = f - 38. What is b*z(q) - 3*v(q)?
q**2 - 16
Let r(w) = 0*w - 5 - w**2 - 11*w + 2*w. Let a(b) = -b**2 - 8*b - 4. Suppose -333 - 63 = 100*o + 4. Determine o*r(s) + 5*a(s).
-s**2 - 4*s
Let t(k) = -581*k + 23. Let o(w) = 1157*w - 41. Calculate 6*o(a) + 11*t(a).
551*a + 7
Let b(q) = 174055*q**3 - 15*q**2 + 15*q - 1170. Let r(j) = 24865*j**3 - 2*j**2 + 2*j - 156. Calculate 2*b(n) - 15*r(n).
-24865*n**3
Let t(s) = 3*s**3 + 5*s**2 - 4*s - 6. Let w(l) = -4*l**3 - 5*l**2 + 5*l + 7. Let u be -3 - ((-16)/80 - (-3762)/10). Let m = -375 - u. Determine m*w(o) + 5*t(o).
-o**3 + 5*o**2 - 2
Let n(i) = 4*i**2 + 7*i + 4. Let y(q) = 77*q**2 - 4 - 31*q**2 - 30*q**2 - 20*q**2 - 1 - 8*q. Determine 5*n(l) + 4*y(l).
4*l**2 + 3*l
Let m(f) = 9*f**2 - 6*f + 13. Let h be 10/(-12)*31/(155/30). Let u(g) = 5*g**2 - 3*g + 6. Determine h*u(b) + 3*m(b).
2*b**2 - 3*b + 9
Let b(c) = -c + 1. Let n(v) = 7*v - 6. Let g = -5361 + 5363. Give g*n(a) + 10*b(a).
4*a - 2
Let f(t) = -1936*t + 132. Let k(o) = 2*o - 2. Determine f(b) + 66*k(b).
-1804*b
Let c(b) = b**3 - b. Let y(w) be the first derivative of -3*w**4/4 + w**2 + 2*w - 3. Suppose -2*f + 2*g = 0, -5*g + 1 = -2*f - 14. What is f*c(r) + y(r)?
2*r**3 - 3*r + 2
Let i be -1 - (17 + 173)/19. Let h(q) = 14*q**3 + 3*q**2 + 3. Let p(v) = 5*v**3 + v**2 + 1. Give i*p(g) + 4*h(g).
g**3 + g**2 + 1
Let r(s) = s**3 + 2*s + 6. Let n(p) = -3*p**3 - 4*p - 19. Let m(y) = 1 - 6*y + 7*y + 0*y - 2*y. Let v(z) = 2*m(z) + n(z). Calculate -17*r(b) - 6*v(b).
b**3 + 2*b
Let r(f) = -219*f + 3*f**2 - 5 + 2 - 214*f - 223*f + 651*f. Let l(y) = -y**2 + y + 1. Calculate 2*l(q) + r(q).
q**2 - 3*q - 1
Let w(n) = 8*n - 6. Let i = 23250 + -23249. Let v(c) = 1. Give i*w(l) + 5*v(l).
8*l - 1
Let l be -5*((-6)/(-4))/((-6)/8). Let g(a) = 5*a - l - 9 + 19. Let t = -3 + 2. Let s(b) = -b. Give t*g(z) - 6*s(z).
z
Let u be -1029 + 972 - (-108)/2. Suppose 2*l + 35 = 5*n, -4*l + l - 25 = -2*n. Let p(b) = 2*b. Let h(y) = 4*y - 1. Calculate n*p(i) + u*h(i).
-2*i + 3
Let s(p) = p**2 + 21*p - 5. Let l(g) = -10*g + 2. Let d = -13 - -7. Let m be (-18)/27 - (-1 + 10/d). What is m*s(o) + 5*l(o)?
2*o**2 - 8*o
Let a(d) = 14*d - 96. Let k(i) = 8*i - 59. Let c(b) = -3*a(b) + 5*k(b). Let g(h) = 4*h + 13. Calculate 13*c(f) + 6*g(f).
-2*f - 13
Let p(d) = 6*d**2 + 13*d - 6. Suppose 2*m - 2*n + 16 = 0, -81*n + 76*n = 3*m. Let t(b) = -7*b**2 - 14*b + 7. What is m*p(w) - 4*t(w)?
-2*w**2 - 9*w + 2
Let y(p) = p**2 + p. Let q(l) = -7*l**2 + 26*l + 3. Determine -q(u) - 3*y(u).
4*u**2 - 29*u - 3
Let d(b) = b + 12. Suppose -20*r + 3*c = -19*r + 19, 0 = 3*c - 24. Let m(j) = -j - 8. Determine r*d(g) + 8*m(g).
-3*g - 4
Let n(o) = -6*o + 2. Let j(k) = 1974*k - 22. Calculate j(r) + 12*n(r).
1902*r + 2
Let k(h) = 68799 - 68798 + h + 0*h. Let c(j) be the third derivative of j**4/8 + j**3/6 - 57*j**2. What is -c(n) + 4*k(n)?
n + 3
Let u = 282 + -280. Suppose -2*l + 2 = -7*g + 3*g, -3 = 5*g - u*l. Let d(j) = -j**2 + j. Let s(r) = 2*r**2 - 4*r - 1. What is g*s(v) - 4*d(v)?
2*v**2 + 1
Let j = -1 - 0. Let l(f) = 2*f. Let r(n) be the first derivative of n**2/2 + n - 8142. Determine j*l(i) + r(i).
-i + 1
Let n(o) = -o**2 + o. Let c(v) = -7*v**2 + 2*v. Let r be (512/40 - 9) + (-3)/(-15). Determine r*n(w) - 2*c(w).
10*w**2
Suppose 5*w = 2*o - 764, -5*o = 10 + 5. Let a = w - -148. Let c(v) = 3*v**2 + 5*v - 2. Let x(g) = -8*g**2 - 14*g + 6. Determine a*x(f) - 17*c(f).
-3*f**2 - f - 2
Let t(c) = -c**3 + 4*c**2 + 2*c. Suppose -29*k = -28*k - 3. Suppose -k*y + 3*z + 15 = 0, -z = 3*y + 5*z + 3. Let w(b) = 3*b**2 + 2*b. Calculate y*t(a) - 4*w(a).
-3*a**3 - 2*a
Let n(f) be the first derivative of -3*f**2/2 + f - 369. Let o(c) be the third derivative of c**4/6 - c**3/6 + 10*c**2. What is 7*n(r) + 5*o(r)?
-r + 2
Let x(o) = -o**2 + 1. Let b(d) = -90*d**2 + 45. Suppose 75*g = 78*g + 135. Determine g*x(v) + b(v).
-45*v**2
Let k be ((-2)/(-4) - 19/30) + (-423)/(-135). Let u(f) = -15*f**3 + 3*f**2 + 3. Let d(w) = -44*w**3 + 8*w**2 + 8. Determine k*d(c) - 8*u(c).
-12*c**3
Let n(q) = -q**3 + q**2. Let w(t) = -12*t**3 - 8*t**2. Let f be (-5)/(86/473*(-11)/(-2)). What is f*n(k) - w(k)?
17*k**3 + 3*k**2
Let d(m) = -11*m**2 - 2. Let z(o) = -21*o**2 - o - 3. Suppose -163*j - 1090 = 55*j. What is j*d(a) + 3*z(a)?
-8*a**2 - 3*a + 1
Let p(a) = 8*a + 2. Let w(o) = 8*o + 3. Let f(b) = 2*b**3 + 2*b**2 - 9*b - 1. Let t be f(3). Let n be (-3)/(-4) - 209/t. Give n*p(i) + 3*w(i).
-8*i + 1
Let f(q) = -13*q**3 - 13*q - 13. Let o(j) = -6 - 3*j**2 - 6*j + 83*j**3 + 3*j**2 - 52*j**3 - 38*j**3. Give -6*f(x) + 13*o(x).
-13*x**3
Let r(q) = 5*q - 6. Suppose 8*i = -3*i - 66. Let g be (0 + 14)/(3 + -2). Suppose g = -2*p - 0. Let b(a) = -6*a + 7. What is i*b(m) + p*r(m)?
m
Let h(d) = 5*d. Suppose 2*x - 5*c - 70 = -55, 0 = 5*x - 6*c - 31. Let p(b) = b**3 + b**2 - 4*b. What is x*p(o) + 4*h(o)?
5*o**3 + 5*o**2
Let n be (-13)/65*(13 + 12). Let c(b) = 16*b + 4. Let d(z) = -17*z - 3. Calculate n*c(u) - 6*d(u).
22*u - 2
Let y be 5*(3 - (0 + 2)). Let l(b) = 14*b + 3. Let w(a) = 63*a - 54. Let m(c) = 42*c - 34. Let s(h) = -11*m(h) + 7*w(h). Give y*s(o) + 7*l(o).
-7*o + 1
Let x(z) = -36*z**3 - 7*z**2 + 16*z - 417. Let k(d) = -10*d**3