47*f + 49*f - 12 = 0. Let a(w) = -23*w - w + 6*w + 9*w + 8*w. Determine f*i(y) - 49*a(y).
7*y
Let u(f) = f**3 + f + 1. Let o(k) be the first derivative of 3*k**4/4 - 2*k**3/3 + 6*k - 3500. Calculate -o(m) + 4*u(m).
m**3 + 2*m**2 + 4*m - 2
Let n(f) be the second derivative of f**3/6 + f**2/2 - 168*f. Let t(o) = -2*o - 2. Let x be (-1 + 0)/(14/(-2 + -12)). What is x*t(p) + n(p)?
-p - 1
Let m(x) = -250*x**3 + 10*x**2 - 14*x. Let q(v) = -3*v**3 + v**2 - 2*v. Give -m(r) + 8*q(r).
226*r**3 - 2*r**2 - 2*r
Let b(y) = -1526*y + 66. Let v(p) = -2136*p + 94. Determine -17*b(a) + 12*v(a).
310*a + 6
Let k(u) = -1124*u**2 + 48*u - 17. Let a(g) = -281*g**2 + 11*g - 4. Determine 9*a(s) - 2*k(s).
-281*s**2 + 3*s - 2
Let c(q) = 5*q**3 - 6*q**2 - 9001*q - 18. Let w(o) = o**3 - o**2 - 5*o - 3. Calculate -c(m) + 6*w(m).
m**3 + 8971*m
Let q(f) = 4*f**2 + 479*f - 2. Let k(d) = -3*d**2 - 4*d + 2. Determine k(z) + q(z).
z**2 + 475*z
Let y(h) = -27*h**2 - 2*h. Let p(a) = 50*a**2 + 4*a. Let t(d) = -8*p(d) - 15*y(d). Let b(v) = -3*v**2 + 0*v**2 + v**2 + 8*v**2 - 3*v. Give -3*b(o) + 4*t(o).
2*o**2 + o
Suppose 9*w - 58 = 95. Suppose w*r + 41 = 24. Let u(t) = -2*t**2 - 8*t + 2. Let p(b) be the second derivative of b**3/6 - 4*b. Give r*u(f) - 5*p(f).
2*f**2 + 3*f - 2
Let g(z) = 16*z**2 - 29*z + 9. Let f(d) be the second derivative of d**4/3 - 7*d**3/6 + d**2 - 6418*d - 2. Give 9*f(l) - 2*g(l).
4*l**2 - 5*l
Let f(k) be the first derivative of 7*k**2/2 - 11. Let p(m) = -51*m + 1. Let g(r) = 60*r - 1. Let l(y) = 4*g(y) + 5*p(y). Calculate 5*f(n) + 2*l(n).
5*n + 2
Let k(r) = 3340*r - 112. Let i(n) = -3340*n + 101. What is 10*i(d) + 9*k(d)?
-3340*d + 2
Suppose 14*y = -y + 75. Suppose y*s - 326 = -321. Let c(q) = q**3 + 1. Let z(i) = 3*i**3 + 2*i**2 + 5. Give s*z(x) - 2*c(x).
x**3 + 2*x**2 + 3
Let o(t) = 58 + 56 - 160 + 4*t + 63. Let i(z) = -2*z - 9. Calculate -11*i(w) - 6*o(w).
-2*w - 3
Let d(m) = -310*m**3 + 279*m**2 + 93*m - 93. Let k(a) = -a**3 - 3*a**2 - a + 1. Give d(u) + 93*k(u).
-403*u**3
Let r(h) = h - 4. Let l(p) be the first derivative of p**2/2 + 5*p - 37. Let q(g) = g. Let i(u) = l(u) - 2*q(u). Let j be (-10)/1*44/88. Give j*r(n) - 4*i(n).
-n
Let m(v) = -13651*v**3 - 365*v**2 + 365*v + 365. Let h = -15299 - -15297. Let p(g) = 75*g**3 + 2*g**2 - 2*g - 2. Determine h*m(d) - 365*p(d).
-73*d**3
Let j(r) = r. Let a = -217 - -226. Let x(p) = -2*p - a + 0 + 7 + 0*p. Calculate -5*j(q) + x(q).
-7*q - 2
Let g(k) = 5*k**2 + 2*k + 2. Let q(j) = -127*j**2 + 4*j + 9. Give -4*g(i) + q(i).
-147*i**2 - 4*i + 1
Let j(d) = 5*d**2 + 6*d + 7. Let c(l) = -l. What is 3*c(s) - j(s)?
-5*s**2 - 9*s - 7
Suppose 4*x = -3*j + 2*j + 13, 0 = 2*j - 4*x - 2. Let b(a) = 2*a + 1624 + 4*a - a - 1622 - 4*a. Let c(y) = 5 - 2*y + 4*y + y. What is j*b(s) - 2*c(s)?
-s
Let y(k) = 21*k + 169. Let o(n) = -5*n - 42. What is 13*o(t) + 3*y(t)?
-2*t - 39
Let c be (((-111)/(-222))/((-2)/(-16)))/4. Let z(a) = -a - 1. Let w(o) = 12*o + 8. Suppose -4*n - 4*x + 28 = 0, -8 = 2*n - 4*n - 4*x. Calculate c*w(v) + n*z(v).
2*v - 2
Let q(k) = 4399*k**2 - 400*k. Let a(m) = 8799*m**2 - 700*m. Calculate -4*a(b) + 7*q(b).
-4403*b**2
Let r(n) = 45*n**2 - 28985*n - 161. Let w(q) = 4*q**2 - 2635*q - 14. Calculate -2*r(k) + 23*w(k).
2*k**2 - 2635*k
Let i(m) = -360*m + 11. Let y(g) = 564*g - 16. Determine -7*i(k) - 5*y(k).
-300*k + 3
Let z(r) = 6. Suppose 2*a - 4 = 0, 2*w - 22 = -0*w - 2*a. Let l be w/3*-3*4/(-18). Let u(d) = 2*d - l*d - d - 5 + 2*d. Determine -4*u(s) - 3*z(s).
-4*s + 2
Let a(m) = 95 - 196 + 5*m + 100 - 2*m - m**3 - 2*m. Let d(p) = 9*p**3 - 6*p + 3. What is -4*a(i) - d(i)?
-5*i**3 + 2*i + 1
Let w(x) = 2*x**2 - 8*x - 22. Let k(n) = -4*n**2 - 15*n + 90. Let z(m) = m**2 + 3*m - 21. Let u(l) = 2*k(l) + 9*z(l). Determine -12*u(g) + 5*w(g).
-2*g**2 - 4*g - 2
Let h(q) = -6*q**2 - 10*q - 10. Let z(p) = -1 - 6479*p + 2156*p + 2163*p + 2159*p. Determine -2*h(y) + 20*z(y).
12*y**2
Let w(p) = -p - 1. Let s(t) = -60 + 26 - 56 - 63*t + 41. Calculate -2*s(x) + 98*w(x).
28*x
Let s(k) = -5*k - 1. Let f = 11811 - 11822. Let y(m) = -14*m - 4. What is f*s(j) + 4*y(j)?
-j - 5
Let a(l) = -8*l**2 + l + 1. Let k(m) = 7*m**2 + 18*m + 137. Give a(t) + k(t).
-t**2 + 19*t + 138
Let c(d) = 16*d + 38. Let s(l) = 2*l + 5. What is 4*c(n) - 28*s(n)?
8*n + 12
Let i(q) = -770481*q**3 + 5*q**2 + 4*q - q**2 + 770488*q**3. Let l(g) = -6*g**3 - 3*g**2 - 3*g. What is -3*i(f) - 4*l(f)?
3*f**3
Let j(t) = 1394*t + 32. Let r(y) = -1393*y - 42. Give -4*j(v) - 3*r(v).
-1397*v - 2
Let i(x) = 6*x**3 + 100*x**2 + 42. Let m(b) = 11*b**3 + 200*b**2 + b + 70. Determine 5*i(n) - 3*m(n).
-3*n**3 - 100*n**2 - 3*n
Let x(i) be the first derivative of 5*i**2/2 - 3*i + 51. Let a(n) = -120 + 109 - 96*n + 67. What is 3*a(t) + 56*x(t)?
-8*t
Let k(a) = 4*a**3 - 9*a**2 + 9*a - 9. Suppose -348*w - 42 = -3*q - 353*w, -3 = q - 4*w. Let d(p) = -2*p**3 + 4*p**2 - 4*p + 4. Give q*d(x) + 4*k(x).
-2*x**3
Let z(y) = -3*y**2 + 3*y. Let m(g) = -g - 1. Suppose -477*d = -673*d + 196. What is d*z(h) + m(h)?
-3*h**2 + 2*h - 1
Let p be (-4 + 3)*283 + -7 + 13. Let l = -294 - p. Let b(i) = -i. Let n(r) = 25*r + 3. Let v(o) = -2*b(o) - n(o). Let f(z) = 8*z + 1. Calculate l*f(h) - 6*v(h).
2*h + 1
Let l(r) = 4*r + 2. Let g(a) = -a - 1. Suppose -260*c - 48*c - 308 = 0. Calculate c*l(m) - 6*g(m).
2*m + 4
Let s = -112 + 153. Suppose 0 = s*z - 172 - 156. Let r(p) = 5*p**3 + 14*p**2 - p + 8. Let o(u) = 2*u**3 + 5*u**2 + 3. Determine z*o(l) - 3*r(l).
l**3 - 2*l**2 + 3*l
Let i(n) = 7228*n**2. Let v(l) = -722800*l**2. Determine 598*i(a) + 6*v(a).
-14456*a**2
Suppose 100 = 5*d + 5*m, 4*d - 116*m = -115*m + 55. Let t(z) = z. Let p(a) = 23*a. What is d*t(y) - 3*p(y)?
-54*y
Let w(a) = -36*a**3 + 6*a - 6. Let m(o) = -35*o**3 + 5*o - 5. Let q = 33 - 27. Calculate q*m(y) - 5*w(y).
-30*y**3
Suppose -25 = -6*s + 11. Let b = s - 10. Let t(r) = -r + 1. Let l(x) = -2*x - 4. What is b*t(y) - l(y)?
6*y
Let w(g) = -24*g - 17. Let j(b) = -3*b - 2. Suppose 0 = 2*d + 5*c + 2, 0 = -d + 3*c + 35 - 25. Suppose d*i = 8, -4*i + i = -y - 57. Calculate y*j(h) + 6*w(h).
9*h
Let t(a) = 4*a**3 + 5*a**2 - 2*a + 9. Suppose -91*j - 56*j + 157 = -137. Let n(g) = 2*g**3 + 2*g**2 - g + 4. Calculate j*t(i) - 5*n(i).
-2*i**3 + i - 2
Let u(g) = 20. Let v(o) = o + 1. Give -u(h) - 3*v(h).
-3*h - 23
Let b(z) = 4*z - 32. Let y be b(12). Let n be (-2 - 3)/(-15 + y). Let f(i) = -11*i**3 - 5*i**2 - i. Let a(h) = -5*h**3 - 2*h**2. Determine n*a(v) + 2*f(v).
3*v**3 - 2*v
Suppose -2*z - z - 39 = 0. Let x(k) be the first derivative of 2*k**2 + 8/3*k**3 - 6*k - 75. Let h(l) = 17*l**2 + 9*l - 13. Determine z*x(u) + 6*h(u).
-2*u**2 + 2*u
Let n(r) = 6*r**2 - 1. Let g be -2*(-3*1 + (-31)/(-62)). Let u(j) = 12*j - 55. Let d be u(g). Let q(y) = -7*y**2. Give d*n(h) + 4*q(h).
2*h**2 - 5
Let j(x) = 2*x + 1. Let v(n) = -10 + 12*n - 19*n + 4*n. Let c be v(-4). Let h be c/(6/(-2)*16/(-120)). Let k(s) = -s. Calculate h*k(a) + 2*j(a).
-a + 2
Let q(x) = -3*x - x + 4*x + 6 + 6*x - 3*x. Let b(j) = -9*j - 17. Let g be (-16)/(-6)*9/4. Let d = 0 + g. Calculate d*b(o) + 17*q(o).
-3*o
Let y(x) = -4*x + 130. Let j be y(32). Let p(o) = -o - 7*o + j*o - 12 - 7 + 16. Let r(g) = -2*g - 1. Calculate -4*p(s) + 11*r(s).
2*s + 1
Let c(r) = -9860*r - 4. Let w(p) = -49280*p - 21. Calculate -21*c(j) + 4*w(j).
9940*j
Suppose -u - 4*r = -2*u + 9, 11 = 5*u - 3*r. Let s(m) = 0*m**3 + 554 - 555 + m**3 + 0*m**3. Let x(c) = -6*c**3 - c + 4. Give u*x(i) + 5*s(i).
-i**3 - i - 1
Let h(w) = -22*w**2 - 154*w - 14. Let z(x) = -5*x**2 - x - 2. What is -h(t) + 5*z(t)?
-3*t**2 + 149*t + 4
Suppose 0 = -47*d + 50*d - 84. Suppose -d*r - 18 = -30*r. Suppose 38 = -r*a + 119. Let m(h) = 5*h + 16. Let z(l) = l + 4. Give a*z(v) - 2*m(v).
-v + 4
Let j(k) = -k - 1. Let x(a) = 24*a + 3. Let n = 8848 - 8847. Determine n*x(m) + 4*j(m).
20*m - 1
Let g(v) = 5*v**2 + 7*v - 3. Let p(i) = 6*i**2 + 7*i - 4. Let q = 11333 + -11337. Give q*g(z) + 3*p(z).
-2*z**2 - 7*z
Let g(n) = 64*n + 1. Let v(y) = 449*y + 2836. Give -7*g(m) + v(m).
m + 2829
Let b(s) = 2170*s + 2. Let p(y) = -1158796*y - 1069. Give 1069*b(d) + 2*p(d).
2138*d
Let i(f) = -f**2 - f - 1. Let x(d) = -958*d**3 - 22*d**2 - 22*d - 22. Determine 110*i(y) - 5*x(y).
4790*y**3
Let u(j) = j**2 - 13*j - 1. Let k(g) = -2*g**3 + 14*g**2 - 172*g - 3. Give k(m) - 3*u(m).
