. What is 4*d(f) + i(f)?
f
Let r(x) = x**3 + 2*x - 2. Let g(i) = 6*i**3 - i**2 + 7*i - 28. Determine g(n) - 3*r(n).
3*n**3 - n**2 + n - 22
Let l(u) = 39*u. Let c(x) = 306*x**2 - 196*x - 2. Determine c(p) + 5*l(p).
306*p**2 - p - 2
Let v(s) = -2*s**3 - 25*s**2 + 6*s - 1. Let c(o) = -9*o**3 - 76*o**2 + 17*o - 3. Determine -4*c(z) + 11*v(z).
14*z**3 + 29*z**2 - 2*z + 1
Let a(c) = c**2 + 3*c - 18. Let l(s) = 4*s**2 + 38*s - 42. Give a(i) - l(i).
-3*i**2 - 35*i + 24
Let s(f) = 2*f - 4. Let d(t) = -3*t**3 - 4*t**2 - 10*t - 18. Let p be d(-4). Let z = -147 + p. Let y(j) = j**2 - 3*j + 7. Give z*y(g) + 5*s(g).
3*g**2 + g + 1
Let c(v) = -2*v**3 + v**2 + v + 3. Let i(y) = 83*y**3 + y - 6. Calculate 2*c(z) + i(z).
79*z**3 + 2*z**2 + 3*z
Let u be 1/((1/20)/((-35)/140)). Let l(o) = -9*o**2 - 7*o - 4. Let z(i) = 10*i**2 + 8*i + 5. Suppose -2*g = -1 + 13. What is g*l(j) + u*z(j)?
4*j**2 + 2*j - 1
Let b(j) = -2*j**2 - 5*j. Let s(n) = 23*n**2 - 25*n**2 + 3*n - 7*n. Let o = 80 + -50. Let d = 26 - o. Give d*b(p) + 5*s(p).
-2*p**2
Let i(n) = -15*n - 25. Let z(s) = 123*s + 207. Let m(u) = -33*i(u) - 4*z(u). Let d(j) = -3*j + 4. Determine -4*d(o) - 5*m(o).
-3*o - 1
Let r(y) = -y**2 + 7. Let u(v) = 0*v**2 - 2117 - v + 4242 + 4*v**2 - 2145. What is -7*r(h) - 2*u(h)?
-h**2 + 2*h - 9
Let a(o) be the second derivative of 0*o**2 - o - 1/6*o**3 + 0. Let f = 392 - 393. Let h(m) = -9*m. What is f*h(c) + 5*a(c)?
4*c
Let r be ((-9)/(-6))/(100/(-56) - -2). Let z(l) = -4*l**2 + r*l**2 - 3*l + 2 - 6. Let d = -57 + 50. Let c(v) = 2*v**2 - 2*v - 3. Calculate d*c(s) + 5*z(s).
s**2 - s + 1
Let p(o) = -3508489*o - 19253. Let v(q) = 11853*q + 65. Calculate 5*p(x) + 1481*v(x).
11848*x
Let n(r) = -37*r**3 - 38*r**3 + 76*r**3 + 1 + 18*r - 21*r - 13*r**2. Let a(x) = -12*x**2 - 2*x + 1. Calculate 3*a(c) - 2*n(c).
-2*c**3 - 10*c**2 + 1
Let d(y) = -32*y**2 - 8*y + 2. Let x(s) = 92*s**2 + 21*s - 5. Let r(z) = 24*d(z) + 9*x(z). Let u(k) = -61*k**2 + 4*k - 4. Determine -4*r(i) - 3*u(i).
-57*i**2
Suppose 5*y - 114 = -v, 5*v - 95 = -4*y + 8*v. Suppose -15*g = -y + 53. Let t(o) = 3*o + 13. Let j(r) = -7*r - 27. Determine g*j(c) - 5*t(c).
-c - 11
Let v(y) = 2 + 7*y + 2*y + 0*y - 4*y. Let d(r) = 8*r + 3. Give 5*d(w) - 7*v(w).
5*w + 1
Let w(f) = -6*f - 3. Let u(c) = -2*c - 1. Suppose 41 = -2*m + 67. Suppose -6*a + m*a = -21. Let j = a - -5. Calculate j*w(r) - 7*u(r).
2*r + 1
Let m(j) = -j + 1. Let n(l) = 2*l + 1. Let i be n(3). Suppose p + 12 = i*p. Let t(a) = -3 + p + 3 - 3. Give -m(q) - t(q).
q
Let f(g) = -8*g**3 + 9*g - 6. Let d = 12 - 21. Let t = -2 - d. Let n(m) = 54*m**2 + 5 - 8*m - 14*m**2 + 7*m**3 - 40*m**2. What is t*n(v) + 6*f(v)?
v**3 - 2*v - 1
Let n(d) = 17*d - 2. Let h(z) = 34*z - 7. Calculate -3*h(t) + 8*n(t).
34*t + 5
Suppose v + 2*a - 1 = 4, 14 = 4*v + 5*a. Let t(x) = x. Let j(y) be the third derivative of -y**3/6 + 603*y**2. What is v*j(m) + t(m)?
m - 1
Let a(h) = 1216*h + 96. Let s(l) = 60802*l + 4816. Give -301*a(k) + 6*s(k).
-1204*k
Let v(u) = 3*u**3 - 2*u**2 - 4*u. Let m(b) = b**3 + b**2 + b. Let r = -9767 - -9769. Determine r*m(t) + v(t).
5*t**3 - 2*t
Let s(i) = 59. Let k(z) = -71. Let g(j) = 5*k(j) + 6*s(j). Let v(c) = 8*c + 1. Give 6*g(m) + v(m).
8*m - 5
Let f = -72 + 95. Suppose x - f*x - 132 = 0. Let d(b) = 8*b**2 + 7*b - 8. Let k(y) = 7*y**2 + 6*y - 7. Calculate x*k(t) + 5*d(t).
-2*t**2 - t + 2
Let a(l) = 4*l**2 - 2*l + 1. Let t(f) = 27*f**2 - 22*f + 6. What is -5*a(o) + t(o)?
7*o**2 - 12*o + 1
Let r(w) = 41*w**2 - 34*w - 116. Let m(v) = -27*v**2 + 23*v + 83. Determine -7*m(u) - 5*r(u).
-16*u**2 + 9*u - 1
Let x(w) = -175*w + 4966. Let i be x(28). Let n(o) = o**2 - 2*o + 2. Let b(y) = -15*y**2 + 33*y - 33. Give i*n(m) + 4*b(m).
6*m**2
Let k(q) = 3*q**2 - 2*q + 5. Let r(s) = 8*s**2 + 2*s - 2. Let g(a) = 21*a**2 + 6*a - 7. Let f(m) = -4*g(m) + 11*r(m). What is -2*f(i) + 3*k(i)?
i**2 - 2*i + 3
Let o(k) = 694*k + 133. Let r(a) = -463*a - 83. Calculate 5*o(z) + 8*r(z).
-234*z + 1
Let q be 7/5 + 2/(-5). Let t(p) = -2*p - 1 + 8*p - 10*p - 3*p - 3*p + 9*p. Let h(a) = 16*a + 12. Let c be -12*(0 + -1)/1. Calculate c*t(w) + q*h(w).
4*w
Suppose -d = -f, 2*f + 28 = -0*f - 5*d. Let w(u) = u + 33 + 38 + 33 + 30 - 133. Let o(z) = 3*z + 4. What is f*w(c) + o(c)?
-c
Let f(b) = -5230*b**3 + 9*b**2 + 3*b - 10. Let y(n) = 2614*n**3 - 5*n**2 - 2*n + 6. Give 3*f(p) + 5*y(p).
-2620*p**3 + 2*p**2 - p
Let f(w) = -22*w**3 - 3*w + 3. Let p(y) be the first derivative of -551*y**4/4 - 38*y**2 + 76*y + 949. Determine -76*f(d) + 3*p(d).
19*d**3
Suppose 2*m = 2*r + 3*r - 3, 4*m + 4*r = 36. Let g(u) = 2*u**2 + u + 4. Let d(x) = -x**2 + 36*x + 2*x**2 + 5 - 19*x - 2 - 16*x. Determine m*d(j) - 4*g(j).
-2*j**2 + 2*j + 2
Let c(n) = 2*n**2 - 3*n - 3. Let l = 3189 - 3195. Let w(u) = -u - 1. Give l*w(i) + 2*c(i).
4*i**2
Let u(v) = -170*v - 7. Let j(z) = -2*z - 3. Calculate j(l) - u(l).
168*l + 4
Let k = 124 + -115. Let j(p) = -6*p**2 + 9. Let u(m) be the first derivative of -1/3*m**3 + 0*m**2 + m - 2. Determine k*u(r) - j(r).
-3*r**2
Let x(z) = -12*z**3 - 15*z**2 - 2*z + 29. Let s(i) = -i**3 - 2*i**2 + 4. What is -14*s(f) + 2*x(f)?
-10*f**3 - 2*f**2 - 4*f + 2
Let z(c) = c + 10. Let d = -12084 - -12073. Let o(f) = -6*f - 50. Calculate d*z(w) - 2*o(w).
w - 10
Let c(s) = 3268*s**3 + 2*s**2 + 4*s + 10. Let x(w) = -3277*w**3 - 2*w**2 - 5*w - 12. Give 6*c(p) + 5*x(p).
3223*p**3 + 2*p**2 - p
Let b(l) = 45*l**2 + 213*l + 5. Let a(w) = -13*w**2 - 53*w - 1. Determine -9*a(t) - 2*b(t).
27*t**2 + 51*t - 1
Let w(v) = -11*v**3 - 4*v**2 + 4. Suppose 0 = -4*x + 5*x + 4. Let n(u) = -21*u**3 - 7*u**2 + 7. Let c = -27004 + 27011. What is c*w(k) + x*n(k)?
7*k**3
Let u = -449 - -448. Let o(t) = -25*t**2 - 5*t + 6. Let d(r) = 38*r**2 + 7*r - 9. Let y(v) = 5*d(v) + 8*o(v). Let n(b) = b**2 + b - 1. Give u*y(z) - 5*n(z).
5*z**2 + 2
Let a(q) = 5*q. Let h(v) = 5*v + 1. Let p be (-30)/12*(-3)/(-15)*-8. What is p*a(c) - 3*h(c)?
5*c - 3
Let d(o) = -5005*o**3 - 8470*o**2 - 16940*o. Let y(q) = -q**3 - 2*q**2 - 4*q. Determine -2*d(a) + 8470*y(a).
1540*a**3
Let a(m) = m**2 - m. Let u = 2 - 8. Let x(b) = -35*b**2 + 66*b**2 + 2 - 35*b**2 - 5*b + 7*b + b. Give u*a(h) - 2*x(h).
2*h**2 - 4
Let i(s) = 1143*s - 1. Let y(f) = -10*f. Give -2*i(c) + 46*y(c).
-2746*c + 2
Let u(o) = 9*o**2 + 18*o + 6. Let z(x) = -495*x + 3957. Let t be z(8). Let h(k) = -5*k**2 - 9*k - 3. Determine t*u(v) - 5*h(v).
-2*v**2 - 9*v - 3
Let n(d) = -d**3 + 2*d**2 - d - 1. Let q(m) = -3*m**3 + 5*m**2 - m - 2. Suppose 338 = -15*o + 1088. Suppose 13*i = 3*i + o. What is i*n(w) - 2*q(w)?
w**3 - 3*w - 1
Let r(b) = -4*b**3 - 9*b + 7. Let w(d) = 3*d**3 + 8*d - 6. Suppose n = -11*n + 108. Let v(m) = -m**2 + 14*m - 50. Let t be v(n). Give t*r(i) - 6*w(i).
2*i**3 - 3*i + 1
Let l(d) = -5*d**3 - 4*d**2 - 4*d + 23. Let s(a) = a**2 + 43*a + 453. Let n be s(-25). Let y(m) = -4*m**3 - 3*m**2 - 3*m + 22. Give n*l(z) - 4*y(z).
z**3 - 19
Let c(f) = -f**3 + 4*f**2 - 3*f - 1. Let o(y) = -22*y**3 - 19*y**2 + 6*y + 2. What is 2*c(m) + o(m)?
-24*m**3 - 11*m**2
Let q(w) = -479*w**2 - 2*w + 6. Let i(u) = -958*u**2 - 5*u + 13. Give -2*i(r) + 5*q(r).
-479*r**2 + 4
Let j(n) = 28*n**2 + 35*n - 35. Suppose -70*o + 77*o - 70 = 0. Suppose o*h + 247 = 207. Let c(f) = 3*f**2 + 4*f - 4. Determine h*j(m) + 35*c(m).
-7*m**2
Let c(a) = 3*a - 5. Let d(y) = -235*y - 20. Calculate -6*c(r) + d(r).
-253*r + 10
Let m(w) = -157*w**3 + 18*w**2 - 5*w + 21. Let i(o) = -2*o**3 + 3*o**2 - o + 3. Give -6*i(p) + m(p).
-145*p**3 + p + 3
Let n be 4/(-6)*(-4 - 8) - 7. Let v(b) = b**3 - b - 1. Let d(o) = -o**3 + 2*o**2 + 2. What is n*d(l) + 2*v(l)?
l**3 + 2*l**2 - 2*l
Let f(r) = 15*r + 5. Suppose -15 - 15 = -2*w - 5*o, 3*w + o = 19. Let j(n) = -16*n - 6. Let l = 290328 - 290322. Determine l*f(v) + w*j(v).
10*v
Let x(n) be the first derivative of n**2/2 - 4*n - 11058. Let z(b) = b - 3. Let s(k) = -k**2 - k + 2. Let t be s(-3). Calculate t*z(c) + 3*x(c).
-c
Let r(g) = 3*g**2 - 46*g + 11. Let l(k) = k**2 - 23*k + 3. Determine -5*l(a) + 2*r(a).
a**2 + 23*a + 7
Let d(j) = -25*j + 4. Let m(x) = 33*x - 5. Calculate 4*d(g) + 6*m(g).
98*g - 14
Let r(k) = 758*k**3 - 6*k**2 + 5*k + 6. Let t(d) = -759*d**3 + 8*d**2 - 6*d - 8. Give -4*r(a) - 3*t(a).
-755*a**3 - 2*a
Let g(l) = -2*l**3 + 5*l - 5. Let x be 1 + (-20)/25 - (-9)/5. Let d(b) = -x*b**3 + 