 4. Determine 11*f(t) + 4*k(t).
-12*t**3 - 2*t**2
Suppose 34*f = 47*f - 65. Let j(p) = p**2 + 1. Let b(q) be the second derivative of 0 + 1/3*q**4 + q + 0*q**3 + 5/2*q**2. Calculate f*j(l) - b(l).
l**2
Suppose 0 = -8*v + 224 + 264. Let u = 59 - v. Let k(q) = -1. Let z(o) = 3*o**3 + 2. Give u*k(b) - z(b).
-3*b**3
Let w(r) = -15*r**2 + 14*r + 1. Let l(i) = -10*i**2 + 9*i + 1. What is 8*l(n) - 5*w(n)?
-5*n**2 + 2*n + 3
Let a(k) = 119*k**2 + 42*k. Let y(t) = -t**2 - t. Give a(l) + 42*y(l).
77*l**2
Let q(t) be the third derivative of -7*t**4/24 - 7*t**3/2 - 353*t**2. Let k(v) = 2*v + 5. What is 21*k(i) + 5*q(i)?
7*i
Suppose 0 = h + 7*t - 23, -2*h - 8 = -12*t + 8*t. Let u(l) = 3*l**2 - 7*l. Let d(r) = 3*r**2 - 8*r. Calculate h*d(x) - 3*u(x).
-3*x**2 + 5*x
Let k(x) = -4*x**3 + 7*x. Suppose 6*o = 12*o + 36. Let i be 5*-1*o/15. Let s(a) = a**3 - 2*a. Give i*k(c) + 7*s(c).
-c**3
Let g(o) = 8856*o**3 + 574*o - 574. Let v(p) = 77*p**3 + 5*p - 5. Give -5*g(j) + 574*v(j).
-82*j**3
Let z(x) be the first derivative of -x**4/4 + 4*x**3/3 - 2*x**2 + 2*x - 482. Let l(g) = 2*g**3 - 5*g**2 + 5*g - 2. Determine -4*l(u) - 5*z(u).
-3*u**3 - 2
Let t(j) = -83*j**2 + 6*j. Let p(k) = -125*k**2 + 9*k. Calculate 5*p(i) - 7*t(i).
-44*i**2 + 3*i
Let r = -4 - -17. Let z = 19 - r. Let n(u) = 5*u + 5. Let h(j) = 70*j + 1862. Let y(t) = 8*t + 200. Let q(i) = 3*h(i) - 28*y(i). What is z*q(m) + 17*n(m)?
m + 1
Let y(v) = 14*v**3 - 11*v**2 + 22*v - 55. Let p(l) = -5*l**3 + 4*l**2 - 8*l + 19. What is 11*p(r) + 4*y(r)?
r**3 - 11
Let n(h) = 7*h**3 + 11*h**2 + 6. Let u(p) = -p**3 - p**2 - 1. Let m = 278 - 284. What is m*u(t) - n(t)?
-t**3 - 5*t**2
Suppose -10*c - 327 = 283. Let a = c + 62. Let n(y) = y - y + 0*y - 6*y + 2. Let g(w) = w. Determine a*n(z) + 5*g(z).
-z + 2
Let h(k) be the second derivative of -3*k**3/2 + 140*k. Let b(x) = 8*x. Determine -6*b(j) - 5*h(j).
-3*j
Let c(v) = -v**2 - 2*v - 6. Let w(a) = a**2 + 2*a + 7. Let u = -104 - -114. Suppose -1 = -3*m - 16, 0 = 3*g - 5*m - u. What is g*c(n) - 4*w(n)?
n**2 + 2*n + 2
Let l(j) = 13*j**3 + 4*j + 28. Let g(b) = 7*b**3 + 3*b + 17. What is 5*g(k) - 3*l(k)?
-4*k**3 + 3*k + 1
Let g = 229 + -228. Let k(m) be the first derivative of -m**2/2 + m - 1. Let p(z) = -3*z + 6. What is g*p(c) - 4*k(c)?
c + 2
Let l(w) = -2*w**3 - 6*w**2 + 6*w. Let z(d) be the third derivative of d**5/60 - d**4/24 + d**2. Let k be -1*(21 + -21 + 1 + 0). Calculate k*l(f) - 6*z(f).
2*f**3
Let c(i) be the second derivative of -7*i + 0 + i**2 - 1/6*i**3. Let a(l) = -3*l + 6. Let o be (-2)/(-8)*2 - 220/88. Calculate o*a(m) + 7*c(m).
-m + 2
Let p(g) = 1. Let c(v) = 2*v + 8. Suppose 28*f = 41 + 71. What is f*p(u) - c(u)?
-2*u - 4
Let w(l) = -4*l + 18. Let r(m) = -2 - 2*m - m + 17. Let k(t) = 6*r(t) - 5*w(t). Suppose -c + 10 = -6*c. Let o(z) = -2*z. Determine c*k(i) - 3*o(i).
2*i
Let d(b) = -1595*b**2 - 55*b + 55. Let t(l) = 177*l**2 + 6*l - 6. Give 6*d(k) + 55*t(k).
165*k**2
Let l(z) = -9*z + 20. Let i(s) = -10*s + 21. Give -6*i(g) + 7*l(g).
-3*g + 14
Let g(o) = 0*o + o**2 + 0*o + 3 - 8*o + 2*o**2 - 2. Let r(w) = w**2 - w + 1. Give g(q) - r(q).
2*q**2 - 7*q
Suppose 0 = -h - q, 15*h = 18*h + 2*q - 3. Let b(c) = -2*c**3 + 3*c**2 - c - 3. Let s(t) = 5*t**3 - 5*t**2 + t + 5. What is h*s(k) + 5*b(k)?
5*k**3 - 2*k
Let d(t) = -5*t**3 - 8*t**2 + 2*t - 8. Let a = -108 - -100. Let f(l) = 2*l**3 + 3*l**2 - l + 3. Calculate a*f(s) - 3*d(s).
-s**3 + 2*s
Let x(f) = 4*f - 1. Suppose 3*p + 3*p - 24 = 0. Let i(z) = 125*z - 254*z - p + 141*z. What is -3*i(m) + 10*x(m)?
4*m + 2
Let l(r) = 91*r + 3. Let t(p) = 90*p + 4. What is -4*l(c) + 3*t(c)?
-94*c
Let j(g) = -g**2 + 4. Let h(t) = -t**2 - t - 4. Let u(w) = 5*w**2 + 3*w + 4. Let c(p) = -3*h(p) - u(p). What is 2*c(x) - 5*j(x)?
x**2 - 4
Let n(s) = -3*s - 2. Let l(z) be the second derivative of -12*z - 1/6*z**3 + 0 - 1/2*z**2. Determine -l(u) + n(u).
-2*u - 1
Let y(i) = 4 - 1 - 4 - 3*i + i**2. Let g(r) = r**2 + 41*r - 340. Let w be g(-48). Let j(m) = m. What is w*j(t) - y(t)?
-t**2 - t + 1
Let o(b) = -983*b - 39. Let j(i) = -983*i - 31. Calculate -5*j(g) + 4*o(g).
983*g - 1
Let n(r) = -1. Suppose -8*p - 3*o - 3 = -11*p, 3*o + 9 = -3*p. Let i(m) = m. Determine p*i(j) - 3*n(j).
-j + 3
Let n(v) = -v**3 + 7*v**2 + v - 8. Let p(t) = t**2 - 1. Determine n(c) - 5*p(c).
-c**3 + 2*c**2 + c - 3
Let y(c) = 5*c**3 + 18*c**2 - 9*c. Let b(s) = s**3 + 4*s**2 - s. Calculate 3*b(j) - y(j).
-2*j**3 - 6*j**2 + 6*j
Let f(p) = -49*p**2 - 4. Let x(k) = 2*k**2 + 1. Determine -f(o) - 4*x(o).
41*o**2
Let y(s) = 2*s**2 + 12*s - 2. Let d(k) = -k + 1. Let g = 736 + -735. Give g*y(b) + 3*d(b).
2*b**2 + 9*b + 1
Let t(w) = 100*w - 8. Let s(z) = -51*z + 4. Calculate -7*s(y) - 4*t(y).
-43*y + 4
Let s(a) = 4*a**3 + 2*a**2 - 2*a - 3. Suppose 3*o + 15 = 6*p - p, o + 3 = p. Let z(c) = 23*c - 9*c - 7 - 18*c + 9*c**p + 5*c**2. Determine -5*s(h) + 2*z(h).
-2*h**3 + 2*h + 1
Let i(l) = -9*l + 32. Let x(c) = 6*c - 21. Calculate 5*i(j) + 8*x(j).
3*j - 8
Let b(z) = 2*z**2 - z. Let u(h) = -2*h**3 + 10*h**2 - 20*h + 1. Give -4*b(v) + u(v).
-2*v**3 + 2*v**2 - 16*v + 1
Let k(r) = 19*r + 1. Let m(g) = -76*g - 4. Let j(s) = -6*s**2 + 11*s + 50. Let o be j(4). Determine o*m(h) - 9*k(h).
-19*h - 1
Let f(p) = -3*p**2 + p + 4. Let v(c) = -4*c**2 + c + 5. Let j = 13 - 9. Let s(x) = -5*x**2 - x - 1. Let o be s(-1). Calculate j*v(n) + o*f(n).
-n**2 - n
Let t(d) = 6*d**3 - 2*d**2 + 3*d + 4. Let h(z) = -26*z**3 + 9*z**2 - 11*z - 17. What is -2*h(i) - 9*t(i)?
-2*i**3 - 5*i - 2
Suppose -3*x - 10 = -2*u, -10*u + 4*x - 25 = -15*u. Let g(w) = 3*w**2 - 5*w - 9. Let q(t) = -4*t**2 + 6*t + 10. Give u*q(d) + 6*g(d).
-2*d**2 - 4
Let x(z) = 9*z - 7. Let s(u) = -2*u + 3*u + 3*u - 3. Suppose -g - 4 = 0, -4*y + 0*y + 180 = -5*g. Let h be 4*((-1)/5 + (-12)/y). Give h*x(c) + 5*s(c).
2*c - 1
Let m(i) = i**3 - 5*i**2 + 6*i + 4. Let z(r) be the second derivative of -3*r**5/20 + 7*r**4/6 - 17*r**3/6 - 6*r**2 - 393*r. Calculate 17*m(h) + 6*z(h).
-h**3 - h**2 - 4
Let x(m) = -26*m - 14. Let j(r) = 9*r + 5. Give 17*j(p) + 6*x(p).
-3*p + 1
Let p = 3 - -1. Let v(s) = -s + p + s + s. Let d(r) be the first derivative of 3*r**2 + 21*r + 164. What is -4*d(t) + 21*v(t)?
-3*t
Let v(q) = -79*q**3 - 17*q - 3. Let y(m) = 26*m**3 + 6*m + 1. Determine -4*v(t) - 11*y(t).
30*t**3 + 2*t + 1
Let u(z) = z**2 - 4*z - 5. Suppose 5*y = 9*y. Suppose 3*a + y = 3. Let f(j) = 0*j**2 - j + a + j + j - j**2. Calculate -3*f(i) - u(i).
2*i**2 + i + 2
Let g(y) = -3*y**2 - 8*y. Suppose 6*k - 7 = -43. Let z(c) = -c. Give k*z(m) + g(m).
-3*m**2 - 2*m
Let x = 59 + -50. Let l(b) = 14*b - 15*b - 9 + x. Let f(z) = -2*z**3 + 4*z. Calculate -f(m) - 4*l(m).
2*m**3
Let k(a) = -a**2 - 2*a + 34. Let c(y) = -3*y**2 - 6*y + 67. Calculate -2*c(z) + 5*k(z).
z**2 + 2*z + 36
Let p(j) = 6*j - 3. Let a(t) = -t - 5. Let g be a(6). Let h(y) = 17*y - 8. Let c = 15 - 11. Calculate c*h(i) + g*p(i).
2*i + 1
Let z(s) = -65*s**2 - 53*s. Let y(n) = -16*n**2 - 12*n. Calculate 9*y(r) - 2*z(r).
-14*r**2 - 2*r
Let g(h) = 6*h - 2. Let y(n) = -96*n + 33. Let k = -543 + 642. Calculate k*g(l) + 6*y(l).
18*l
Let t(q) = 2*q**3 - 2*q + 15. Suppose -8 + 20 = 6*z. Suppose -2*f = -5*n + 2*f - 46, f = -n - z. Let l(i) = -i**3 + i - 7. Calculate n*t(b) - 13*l(b).
b**3 - b + 1
Let s(o) = -3*o - 3. Let j = 168 + -167. Let n(a) = 1. Determine j*s(l) + 5*n(l).
-3*l + 2
Let f(k) = 105*k - 1. Let p(n) = -209*n + 2. Calculate 5*f(o) + 2*p(o).
107*o - 1
Let v(d) = -13*d**2 + 39*d + 39. Let i(u) = -458*u + 1 - 463*u + 922*u. Give -39*i(p) + v(p).
-13*p**2
Let a(i) = -5*i**2 + 5*i + 5. Let m(u) be the third derivative of u**6/120 + u**5/10 - u**4/4 - u**3 - 4*u**2 + 18. Give -6*a(d) - 5*m(d).
-5*d**3
Let y(j) = -j**3 + j - 2. Let v(g) = -3*g - 3. Let t(p) = -5*p - 4. Let z(o) = 2*t(o) - 3*v(o). Determine 2*y(b) + 2*z(b).
-2*b**3 - 2
Let g(j) be the third derivative of -j**4/8 + j**3/2 + j**2. Let c(i) = -521*i + 3129. Let n be c(6). Let f(m) = -3*m + 2. Determine n*g(t) - 4*f(t).
3*t + 1
Let f(o) be the second derivative of -5*o**3/6 + 3*o**2 - 2*o. Let l(z) = 9*z + 56 + 46 - 113. Give 11*f(m) + 6*l(m).
-m
Let m(a) = 4*a**2 - 8*a. Let r(s) = 21*s**2 - 41*s. Give -11*m(c) + 2*r(c).
-2*c**2 + 6*c
Let q(r) = 1. Let m(u) = -44 + 0*u + 49 - 4*u. Determine -m(i) + 4*q(i).
4*i - 1
Let k(w) = -1141*w**2 - 5