5. Calculate 119*h(t) - 2*k(t).
-17*t - 17
Let z(p) be the third derivative of -p**4/24 + p**3/3 - p**2 - 419*p + 2. Let t(x) = -2. Determine -4*t(w) - 5*z(w).
5*w - 2
Let o = 239 - 156. Suppose -5*i - o = -8. Let d(p) = p - 8. Let s be d(12). Let u(z) = -12*z - 15. Let n(l) = -3*l - 4. Determine i*n(h) + s*u(h).
-3*h
Let z(x) = -3*x + 3. Suppose -4*a = 6*a + 2*a. Suppose a = -5*y - 30 + 40. Let u(i) = 4*i - 2. Calculate y*z(m) + 3*u(m).
6*m
Let h(t) = -60*t. Let u(l) = 108*l - 4. Let d(f) = 140*f - 5. Let g(c) = 4*d(c) - 5*u(c). What is 8*g(o) + 3*h(o)?
-20*o
Let j(x) = 859*x**2 - 6*x + 3. Let f(m) = -856*m**2 + 4*m - 2. Give -3*f(s) - 2*j(s).
850*s**2
Let j(p) = -108*p - 13 + 13*p**2 - 9*p**2 - 110*p + 214*p + 9*p**2. Let z(y) = -6*y**2 + 2*y + 6. Give 4*j(s) + 9*z(s).
-2*s**2 + 2*s + 2
Let i(w) = -29*w. Let y(p) = 39 - 75*p - 53*p + 99*p - 39. Calculate 3*i(g) - 4*y(g).
29*g
Let s(x) = 3*x + 4. Let b(w) = 7*w + 9. Suppose 134*f = 49*f - 1105. What is f*s(c) + 6*b(c)?
3*c + 2
Let t(w) = 7*w**2 - 22*w - 13. Let r(c) = 11*c**2 - 35*c - 21. Let g(o) = -5*r(o) + 8*t(o). Let d(y) = 2*y**3 - 3*y**2 + 6*y - 1. Calculate d(a) + 5*g(a).
2*a**3 + 2*a**2 + a + 4
Let m = 1525 + -1522. Let k(n) = -4*n**2 - 3*n - 3. Let g(s) = 16*s - 8*s - 2 + 10 + 11*s**2. What is m*g(i) + 8*k(i)?
i**2
Let n(h) = -h**3 + h**2 + h. Let b(g) = 2*g**2 - 10*g + 1. Let p be b(0). Let c(y) = -8*y**3 + 12*y**2 + 10*y. Determine p*c(a) - 12*n(a).
4*a**3 - 2*a
Let a(v) = -146*v**2 - 39*v - 5. Let x(t) = -152*t**2 - 46*t - 6. Calculate -6*a(w) + 5*x(w).
116*w**2 + 4*w
Let g(a) = -96*a + 11. Let x(u) = 98*u - 9. Calculate 5*g(f) + 6*x(f).
108*f + 1
Let r(v) = -v - 1. Let u(o) be the first derivative of -7*o**2/2 + 3*o - 1167. Determine -6*r(w) - 2*u(w).
20*w
Suppose 8*s - 14*s + 30 = 0. Let u(t) = 2*t - s + 4*t + 3*t + 0. Let v(h) = h - 6. Let q be v(11). Let l(k) = -28*k + 16. Give q*l(n) + 16*u(n).
4*n
Let p be -2 + 3 + (102/170 - (-13)/(-5)). Let y(r) = 2*r**2 - 6*r. Let f(j) = -j**2 + j. Determine p*y(x) - 6*f(x).
4*x**2
Let s(b) be the first derivative of -b + 496. Let a(g) = 5*g + 3. Give a(q) + 4*s(q).
5*q - 1
Let k(q) = 64*q**2 - 15*q - 13. Let c(w) = -27*w**2 + 7*w + 6. Calculate -9*c(a) - 4*k(a).
-13*a**2 - 3*a - 2
Let t(y) = 33*y**3 + 11*y**2 - 7*y + 283. Let f(c) = 22*c**3 + 8*c**2 - 5*c + 188. Determine -7*f(v) + 5*t(v).
11*v**3 - v**2 + 99
Let a(k) = k**3 - 1. Let s(t) be the second derivative of -3*t**5/20 + t**3/6 + 3*t**2 - 1031*t. Determine -6*a(l) - s(l).
-3*l**3 - l
Let t(v) = 124*v - 58. Let f(h) = 41*h - 17. Give 20*f(m) - 6*t(m).
76*m + 8
Let z(d) = 261*d. Let i(t) = 13*t. Suppose 4*c - 5*j - 337 + 33 = 0, -247 = -3*c - j. Calculate c*i(l) - 4*z(l).
9*l
Let i(f) = -2*f**2 - f + 10. Let n(t) = -6. Let o(x) = 19. Suppose 4*u + 3 = 5*m + 16, 3*u + 5*m + 34 = 0. Let q(l) = u*n(l) - o(l). Give -i(y) - 6*q(y).
2*y**2 + y - 4
Suppose y + 9 - 5 = 0, 2*h - 4*y - 1796 = 0. Let i = -895 + h. Let j(m) = -14*m + 5. Let v(w) = -14*w + 6. Determine i*v(r) + 6*j(r).
-14*r
Let r(q) = 1429525*q**3 - 813*q**2 + 4065. Let l(f) = -3521*f**3 + 2*f**2 - 10. Give 813*l(o) + 2*r(o).
-3523*o**3
Let o(f) = f**2 - 26*f + 95. Let u be o(4). Let v(h) = -h - u*h - 35 + h + 33. Let z(r) = -20*r - 5. Calculate -17*v(c) + 6*z(c).
-c + 4
Let m(r) = r**3 + 19*r. Let i(b) = -26*b**3 + 36*b + 9. Let h(n) = 3*n**3 - 3*n - 1. Let t(j) = -18*h(j) - 2*i(j). Determine 3*m(c) + 2*t(c).
-c**3 + 21*c
Let p(k) = -2*k. Let h(r) = r**2 + 30*r - 213. Let z be h(6). Let y(m) = -m - 1. Calculate z*y(w) - p(w).
-w - 3
Let j(f) = -1. Let u(n) be the third derivative of n**4/24 + 23*n**3/3 - 2*n**2 + 2*n - 813. What is -4*j(m) - u(m)?
-m - 42
Let u(m) = 26. Let q(w) = 5. Let r(g) = -5*q(g) + u(g). Let z(n) = 5*n - 43. Let k(v) = 3*v - 28. Let d(t) = 8*k(t) - 5*z(t). Give -2*d(h) - 22*r(h).
2*h - 4
Let s(x) be the third derivative of 143*x**5/60 - 55*x**4/24 - 55*x**3/6 - 903*x**2. Let k(z) = 16*z**2 - 6*z - 6. Calculate -55*k(y) + 6*s(y).
-22*y**2
Let p(s) = -99*s - 581. Let q be p(-6). Let j(x) = 3*x + 4. Let z(f) = -f**2 + 7*f + 9. Give q*j(k) - 6*z(k).
6*k**2 - 3*k - 2
Let w(m) = -4*m**2 - 5*m + 6. Let f(v) be the second derivative of 5*v**4/12 + 5*v**3/6 - 7*v**2/2 + 941*v. Give -5*f(k) - 6*w(k).
-k**2 + 5*k - 1
Let f(x) = -15*x + 8. Let d(p) = 15*p - 9. Suppose -q + 43*n - 45*n - 1 = 0, -5*q = 5*n + 20. What is q*f(v) - 6*d(v)?
15*v - 2
Let l(d) = 4737*d + 22. Let s(u) = -2367*u - 10. Calculate 4*l(i) + 9*s(i).
-2355*i - 2
Let u(g) = -4*g**3 + 28*g**2 + 3*g + 7. Let c(v) = 7*v**3 - 51*v**2 - 7*v - 13. Determine -6*c(l) - 11*u(l).
2*l**3 - 2*l**2 + 9*l + 1
Let u(o) = -35*o**2 + 1. Let h(w) = -33*w**2 + 2537*w. Calculate -h(v) + u(v).
-2*v**2 - 2537*v + 1
Let a(k) = 2*k + 6. Let y(f) be the first derivative of f**2/2 + f - 860. Determine -a(r) + 3*y(r).
r - 3
Let g be (-336)/(-210) + (-110)/(-25). Let m(v) = 20*v - 4. Let k(r) = -21*r + 5. Determine g*m(f) + 5*k(f).
15*f + 1
Let l(u) = 7*u + 7. Suppose 144*o = -442832 + 443408. Let r be ((-5)/2)/((-1)/(-2)). Let b(g) = 6*g + 6. What is o*l(d) + r*b(d)?
-2*d - 2
Let a(l) = -6*l**3 - 2*l**2 - 341*l + 4. Let g(j) = 4*j**3 + 2*j**2 + 342*j - 3. Calculate 3*a(v) + 4*g(v).
-2*v**3 + 2*v**2 + 345*v
Let r(o) = o**3 - 4*o**2 + 2. Suppose -50*h + 77 + 123 = 0. Let g(p) = p**3 - 3*p**2 + 3. Calculate h*g(f) - 3*r(f).
f**3 + 6
Let k(y) = 65*y**2 + 222*y - 5. Let n(d) = -100*d**2 - 332*d + 7. Calculate -7*k(j) - 5*n(j).
45*j**2 + 106*j
Let g be 2 + (-42)/27 - (-238)/153. Let i(u) = -4*u - u**2 - 5*u + 9*u. Let o(s) = 4*s**2 - s + 1. Give g*o(n) + 10*i(n).
-2*n**2 - 2*n + 2
Let o(s) = 2*s. Let n(j) = -11*j + 1. Let x be 8/3 + (1 - (-126)/54). Calculate x*n(c) + 34*o(c).
2*c + 6
Let a = -582 - -574. Let y = 0 - -3. Let r(w) = 2*w**3 + 3*w**2 - 4*w - 1. Let u(g) = 5*g**3 + 8*g**2 - 11*g - 3. Calculate a*r(i) + y*u(i).
-i**3 - i - 1
Let w(g) = 28*g**2 - 4786*g + 3. Let l(m) = 10*m**2 - 1595*m + 1. What is 11*l(o) - 4*w(o)?
-2*o**2 + 1599*o - 1
Let d(y) = 2*y**3 + 4*y - 1. Let s(a) = -4*a**3 - 7*a + 1. Let m be (-13)/(-325) - (-552)/(-50). Determine m*d(r) - 6*s(r).
2*r**3 - 2*r + 5
Let j = 44107 - 44102. Let r(g) = 9 + g + 1 - 7*g. Let n(d) = -5*d + 11. Let w(m) = 3*n(m) - 2*r(m). Let q(c) = -2*c + 9. Calculate j*w(v) - 7*q(v).
-v + 2
Let r(b) = 5*b**2 - 420*b - 31. Let n(o) = -5*o**2 + 418*o + 39. Determine 4*n(g) + 5*r(g).
5*g**2 - 428*g + 1
Let k = 48 - 46. Let l(m) = m + 1. Let j(x) be the first derivative of -x**3/3 + 5*x**2/2 + 6*x - 168. Give k*j(u) - 11*l(u).
-2*u**2 - u + 1
Let t(a) = 292*a + 3499. Let w be t(-12). Let z(l) = -13*l + 2. Let o(f) = -14*f + 2. What is w*z(r) + 6*o(r)?
-19*r + 2
Let q = -1289 + 1290. Let l(b) = b**2 - 1. Let r(d) = 5*d**2 + 2*d - 1. Give q*r(t) - l(t).
4*t**2 + 2*t
Let r(n) = -944*n**2 - 13*n - 939*n**2 + 3763*n**2 - 945*n**2 - 939*n**2. Let d(g) = 2*g**2 + 7*g. Let a be (-2)/((-4)/(-66)*3). What is a*d(q) - 6*r(q)?
2*q**2 + q
Suppose q - 5*h - 12 = -6*h, -h = -3*q + 12. Let j(f) = f. Let i(r) = 2*r**2 + 6*r. Calculate q*j(c) - i(c).
-2*c**2
Let p(v) = 9*v - 2. Let t(f) = f**2 - 23*f - 57. Let b be t(23). Suppose 0*r + r - 44 = 0. Let d = b + r. Let c(o) = 4*o - 1. What is d*c(h) + 6*p(h)?
2*h + 1
Let t(z) = 12*z. Let l = -30 + 29. Let i(a) = -a - 8 + 6 + 2. Let g(f) = l*t(f) - 15*i(f). Let x(m) = -1. Give g(p) - x(p).
3*p + 1
Let x(j) = 13*j - 5. Let q = -29 - -60. Let b(s) = -25*s - q*s + 15*s + 16 + s. What is -5*b(g) - 16*x(g)?
-8*g
Let k(h) be the third derivative of h**4/4 - h**2 - 17. Let u(g) = 10*g + 1. Let m(x) = 8*k(x) - 5*u(x). Let l(t) = -2*t - 6. Determine -6*l(c) + 7*m(c).
-2*c + 1
Let r(n) = 12*n**2 - 3*n - 1. Let o(t) = t**2 - 164*t - 1194. Let h be o(-7). Let k(q) = q**2 + q. Determine h*k(y) + r(y).
15*y**2 - 1
Let x(j) = 213*j + 2554. Let u be x(-12). Let o(s) = -7*s**3 - 2*s**2 - 4*s - 4. Let n(a) = 28*a**3 + 9*a**2 + 17*a + 17. What is u*n(z) - 9*o(z)?
7*z**3 + 2*z + 2
Let c(l) be the second derivative of 99*l**4/4 - 27*l**2 - 50*l - 13. Let h(j) = 27*j**2 - 5. Determine 5*c(q) - 54*h(q).
27*q**2
Let s(t) = -5*t**2 + 2*t + 8. Let x(k) = -16*k**2 + 5*k + 23. Determine -11*s(i) + 4*x(i).
-9*i**2 - 2*i + 4
Let i(p) = 37*p**2 - 16*p - 52. Let k(t) = -6*t**2 + t - 4. Calculate -i(w) - 6*k(w).
-w**2 + 10*w + 76
Let p