8.
18
Suppose 0 = g - 5 + 3. Suppose -3*k + 72 = -3*j, -k = -2*j - 0*k - 43. What is the common denominator of (-2 - g)/(3/19) and j?
3
Let n = -491/1245 - 6/83. Calculate the common denominator of n and -79/24.
120
Let s(x) = 2*x. Suppose -5*f + 17 = 2*l, 4*f = -2*l - 3*l + 17. Calculate the lowest common multiple of s(4) and f.
24
Calculate the common denominator of -125/12 and (-67)/(-18) + 4/1.
36
Let x = 23 + -5. Let s = x - 12. Calculate the smallest common multiple of s and 4.
12
Let y(f) = f**3 - f**2 - f + 2. Let i be y(2). Let q(m) = -4*m**3 + 4*m**3 + m**3 - 4 + i*m**2 - 6*m. What is the lowest common multiple of q(-4) and 6?
60
Let g = 141263201/7072 - 19975. Let q = g + -18787/32835296. Let d = -60323/83574 + q. Find the common denominator of 97/20 and d.
180
Let v be 1 + 2/(1/1). Find the common denominator of -94*v/144*2 and 51/2.
12
Let k be 2089495/(-946) - (-5)/(-10). Let h = -1282/43 - k. Let r = -2178 + h. Find the common denominator of -3/8 and r.
88
Suppose 0 = 3*m - 11*m + 144. What is the lowest common multiple of m and 4?
36
Suppose 114 = -r + 3*f, r - 4*f = 3*r + 228. Calculate the least common multiple of -1*3/(-1)*1 and r/(-10) + (-6)/15.
33
Let y = 15 + -11. Suppose -j + 25 = 2*a, 2*a - y*j = -1 + 11. What is the lowest common multiple of a and 9?
99
Calculate the common denominator of (10/(-4))/(11/(-12)) and (2/(-4))/((-165)/(-682)).
165
Suppose -6*f = 40 - 94. What is the smallest common multiple of 3 and f?
9
Let c = 14 - 9. Suppose -4*y = c*l - 94, -4*y + 27 = 2*l - 1. Suppose -4*r + 7 + 33 = 0. Calculate the smallest common multiple of l and r.
110
Let d = -16848976 - -269741691/16. Let v = 9874 - d. Let p = 1397/6 + -963/4. What is the common denominator of p and v?
48
Let m be 496/120 - 4/30. Let p = -4/623 - 11789/7476. What is the common denominator of 1646/220 + m/(-22) and p?
60
What is the common denominator of (-4)/(-30)*90/(-40) and -15/11?
110
Let u(l) = l**3 + 9*l**2 - 11*l + 12. Suppose -4*z - 50 = 3*m + z, -66 = 5*m + 4*z. Calculate the smallest common multiple of 4 and u(m).
44
Let h(o) = -3*o + 10. Let a be h(8). Let j = a - -30. What is the lowest common multiple of 10 and j?
80
Let z = -93 + 99. Calculate the lowest common multiple of z and 16.
48
What is the common denominator of ((-3)/15)/(45/1775) and (-1 - -9)/(7/4)?
63
Suppose -2*r - x = -25, 4*x + 11 = -3*r + 56. Calculate the smallest common multiple of 21 and r.
231
Let d(u) = -2*u**2 - u + 1. Let m be 4*3/12*-2. Let w be d(m). Let g(h) = -h - 4. Calculate the lowest common multiple of g(w) and 10.
10
What is the common denominator of 13/2 and 1/(-22)*10*-7?
22
Suppose -g = 2*g - 45. What is the least common multiple of 8 and g/(-5) - (-15 - 0)?
24
Let x = -4 - -3. Let u be (x/(-1))/((-6)/18). Find the common denominator of 6/(-4)*43/u and -103/10.
10
Let y be (((-9039)/18)/(-1))/(-15). Let c = y + 131/5. Calculate the common denominator of c and 1/(-4) - 162/40.
90
Let w = 3617/12 + -950/3. Find the common denominator of (-18)/(-16) + -9 + 9 and w.
8
Let x = -166 - -267. Calculate the common denominator of (-6)/8*x/(-15) and 73/14.
140
Let w = 30991/2810 + 20/281. Let c = -29057/3680 + -3/736. Calculate the common denominator of c and w.
10
Let f = 76 - 38. Calculate the smallest common multiple of f and 22.
418
Let o(s) = s**2 - 2*s + 2. What is the lowest common multiple of o(4) and 20?
20
Let i(w) = w + 3. Let j be i(-12). Let h = j + 13. Calculate the least common multiple of 7 and h.
28
Let v be 2 + -5 - (2 - 3). What is the smallest common multiple of -3 + (-17 - v)/(-3) and 18?
18
Suppose -13 + 38 = 5*a. Let r = a - 2. Calculate the least common multiple of r and 1.
3
Let l(y) = -y**2 - 7*y - 6. Calculate the smallest common multiple of l(-5) and 8.
8
Let m = 703 + -4904/7. Find the common denominator of -41/6 and m.
42
Let c be (-2)/(-4) - 6/(-4). Suppose q - 2*g = 28, -2 - 6 = -q - c*g. Calculate the smallest common multiple of q and 8.
72
Calculate the common denominator of (1 + 31/(-28))*816/(-34) and 91/45.
315
Let q(m) = m**3 - 12*m**2 + 14*m - 11. Let b be q(11). What is the common denominator of b/77 - (-145)/(-42) and ((-59)/2)/(12/2)?
12
What is the common denominator of -53/34 and ((-51)/264)/((-1)/4)?
374
Let h(z) = -z**2 + z - 1. Let b(p) = -p**3 - 7*p**2 + 6*p - 2. Let w(m) = b(m) - 5*h(m). Let a = 3 - 0. What is the lowest common multiple of w(-3) and a?
9
Let v be ((-24)/64)/(1/(-12537)). Let i = v + -4694. Calculate the common denominator of -23/6 and i.
24
Suppose -4*x + 9254 = 2*i, 0 = 3*i + 2*i - 2*x - 23099. Suppose i = 3*b - 3530. Let l = b - 8080/3. Find the common denominator of 34/5 and l.
15
Let i = 17891/10 + -1787. Let r = -943/273 + 1/39. What is the common denominator of r and i?
70
Let l(h) = 2*h**2 + 2*h - 16. Calculate the least common multiple of l(3) and 6.
24
Suppose -5*k = 3*d - 11, 5*k - 2*k - 5*d = -7. Find the common denominator of k*(-58)/(-6) + 0 and -30.
3
Let t = 46789/8 + -5857. Calculate the common denominator of -91/6 and t.
24
Let z(n) = 0 - 14*n**2 + 11*n**2 - 16*n**2 + 2*n + 1. Let t be z(-1). Calculate the smallest common multiple of (t + 2)*(-2)/4 and 6.
18
Suppose 0*j - 3*j = -15. Let k(u) = -5*u + 6. Let f(x) = -x + 1. Let m(h) = -4*f(h) + k(h). What is the smallest common multiple of j and m(0)?
10
Let j = -4901/70 + 495/7. Find the common denominator of j and (-3)/48*-2*11.
40
Let a be (-8)/4*(-1 + 2). What is the least common multiple of 9 and (-9)/(-2) - a/(-4)?
36
Let c = 198923/59262 + 2/4233. Let z = 459 - 9163/20. What is the common denominator of z and c?
140
What is the common denominator of (316/(-30))/(4/(-3)) and 55/16?
80
Suppose -3*m + 0*m + 33 = 0. What is the lowest common multiple of 8 and m?
88
Let n = -2/4251 + -123257/46761. Let c = 3070/11 - 25539/88. What is the common denominator of c and n?
88
Find the common denominator of 37/6 and (-10059)/(-2310) - 2/5.
66
Let q = 3 - -11. Calculate the lowest common multiple of 2 and q.
14
Let a = 61 - 57. Calculate the least common multiple of 4 and a.
4
Suppose 23*p + 180 = 33*p. Suppose x + 0*h + 5*h = 26, -x - 4*h + 22 = 0. Calculate the least common multiple of p and x.
18
Let n = -17 - -12. Let p = 8 + n. What is the least common multiple of 14/(1 + (-3)/(-3)) and p?
21
Let k be (-126)/12 - 2/4. Let t = 18 + k. Let u(v) = -v**2 + 8*v + 7. What is the lowest common multiple of 2 and u(t)?
14
Let q = 4 - 3. Let d = q + 1. Suppose 18 = d*w + w. What is the least common multiple of 2 and w?
6
Let a = 6 - -4. Let y = -7 - -14. Calculate the least common multiple of a and y.
70
Let l = 11896/63 + -1363/7. Find the common denominator of 1/7 and l.
63
Suppose 7*l = 3*l - 2*j + 14, l + 1 = 4*j. Let u(y) = y**2 - 5*y + 4. Let z be u(l). What is the common denominator of ((-102)/132)/(z/4) and 95/6?
66
Suppose 0*k + 7 = k. Let s be -1*(-8)/(-2)*-5. Suppose 0 = 2*y - 3*v - 12, 4*v = -3*y - 2 + s. What is the least common multiple of k and y?
42
Suppose 5*x = -4*h + 166, 3*h = x + 4*h - 34. What is the lowest common multiple of x and 8?
120
Calculate the common denominator of 43/12 and 524/40 - (-6)/15.
12
Let f = 4488991 + -107715409/24. Let i = f + -2578/3. Find the common denominator of i and 17/20.
40
Suppose 2*n - 1 = -5. Let b = 2 - n. Let m = b + 0. What is the least common multiple of m and 22?
44
Let b(c) = -c**3 - 7*c**2 + 9*c + 10. Let f be b(-8). Suppose -f*o + 5*o = 12. What is the lowest common multiple of o and 3?
12
Let z = -5 + 15. Let p(u) = 10*u + 4. Let l(j) = -49*j - 21. Let o(n) = -4*l(n) - 21*p(n). Calculate the lowest common multiple of o(-1) and z.
70
Let k be (2/5)/((-4)/(-20)). Suppose -k*m + 0*m = 24. Find the common denominator of -31*(-3)/m - -1 and 1/4.
4
Let v = -6 + 8. Let o = 7 - v. Suppose 0 = o*z - 42 - 8. Calculate the lowest common multiple of 7 and z.
70
Let x = 97 + -35. Let v = x - 302. Let o = -465/2 - v. Find the common denominator of o and -87/8.
8
Let y(i) be the first derivative of i**2 - 2*i - 11. Suppose k - 22 = -3*k - n, 5*k - 29 = -2*n. Calculate the smallest common multiple of y(k) and 7.
56
Let l be -1*8 + 2 + 2. Let c(h) = h - 10. Calculate the lowest common multiple of -1 + -1 - (l + 1) and c(16).
6
Calculate the common denominator of 55/12 and 0 + (100/64 - -