nd r.
30
Let a be (1124/(-2))/((-8)/140). Let u = -215101339/12 + 17915271. Let y = a + u. Find the common denominator of -79/12 and y.
12
Let f(d) = -4*d - 30. Calculate the smallest common multiple of f(-11) and 20.
140
Let a be (-8 + 4)*(-10)/8. Suppose -a*d + 16 = -d. What is the lowest common multiple of d and 6?
12
Let g(l) = 6*l**3 + 4*l**2 - 4*l. Let s be g(5). Suppose -185 = 5*q - s. Calculate the smallest common multiple of 5 and (-4)/(-10) - q/(-15).
45
Let p be 1614/(-15) - (-2)/(-5). Let v = -76 - p. Let b = v - 18. Calculate the least common multiple of b and 2.
14
Let i = -94926 - -9682547/102. Calculate the common denominator of i and 99/14.
714
Find the common denominator of (77/(-3) + -2)*(-15)/50 and -55/3.
30
Let v = -51369/8855 - -2/1771. Calculate the common denominator of -26/11 and v.
55
Let h be (-1 - -3 - -401) + -1. Let k = 1547/4 - h. Find the common denominator of k and 178/(-12) - (-1 - 0).
12
Let w = 68899/12 + -5745. Let v be 3/(-1 + (-1)/2). Calculate the common denominator of v/8 + (-119)/(-4) and w.
12
Let r = -87 + 120. Calculate the least common multiple of 15 and r.
165
Let v(c) = c**3 + 5*c**2 + 2*c - 2. Suppose -f = -0*f - 66. Suppose f = 4*m - m. What is the lowest common multiple of v(-4) and m?
66
Suppose 5*h - 2*n - 31 = 0, 5*h + 12*n - 13*n = 28. What is the lowest common multiple of (3/1)/(-1 + 2) and h?
15
Let f = 12293 - 245909/20. Let g = -2845/392 - 214/49. Find the common denominator of f and g.
40
Suppose 2*p - 7 = 1. Calculate the smallest common multiple of 16 and p.
16
Let v be -2 - (-2 + 4 - 64). Let z = 5 + -3. Suppose -7*n = -z*n - v. Calculate the smallest common multiple of 14 and n.
84
Let x = 1578 - 20503/13. Calculate the common denominator of x and 87/8.
104
Let d = 114781/14 + -8202. Let q = 15/4 - 9. Find the common denominator of q and d.
28
Let q(k) = k + 12. Let l be q(-14). Find the common denominator of 266/40 + -3 - l and 49/22.
220
Let u(w) = 4*w + 26. Let i be (-3 + 1)/((-2)/8). Suppose 2*p - 4*a - 24 = 0, -i = -3*p + 3*a + 13. Calculate the lowest common multiple of p and u(-6).
2
Let n(o) = o**3 + 7*o**2 + 6*o - 5. What is the lowest common multiple of n(-5) and 12?
60
Suppose 2*l = 5*h - 4, -l + 5*h = -2*l - 2. What is the common denominator of (-6)/(38/(-11) - l) and 65/9?
72
Let z = 11 - 6. Suppose -z*j - 5 = -35. What is the lowest common multiple of 22 and j?
66
Let c = -497/138 - -539/23. What is the common denominator of -71/4 and c?
12
Let q be (-12)/(-8)*-3*2. Let s = -7 - q. Calculate the lowest common multiple of s and 6.
6
Let b be (2 - -13) + 2*-1. Let l = 9 - b. Let v(q) = -q**2 - 4*q + 5. What is the lowest common multiple of 1 and v(l)?
5
Let n(b) = -b - 4. Suppose 4*g = t - 29, -4*g - 3*t = 12 - 3. Let q be n(g). Let j = 6 - q. Calculate the least common multiple of 8 and j.
8
Suppose 0 = -8*c + 3*c - 3*p + 839, 4*c + 4*p = 676. Calculate the common denominator of -75/8 and (1 - 5/4)*c.
8
Let s be (2/4)/((-2)/(-16)). Let p(z) = 1 - 2*z + s*z - 3*z. Calculate the lowest common multiple of p(-3) and 12.
12
Let c(i) = 2*i - 4. Let d be c(7). Find the common denominator of -31/6 and (4/d)/((-220)/775).
66
Let c = -13 - -14. Suppose 0 = 2*v - 3*v. Let i = 8 - v. What is the lowest common multiple of i and c?
8
Let c = 53 + -25. Calculate the common denominator of 56/9 and c/350*170/8.
90
Calculate the common denominator of ((-1)/((-4)/(-260)))/(6/3) and 27/4.
4
Let b = -24324850585078/2711439 + 1309795039/146. Let j = 3/4127 + b. What is the common denominator of j and -83/4?
36
Let r = 94/19 - -65/152. Let t be 1/3 - 2174/6. Find the common denominator of t/(-84) - (-6)/(-9) and r.
56
Suppose -i + y - 3*y - 1 = 0, -i - 3*y = 5. What is the smallest common multiple of 2 and i?
14
Let j be (-2)/(-6) - 110/6. Let p = j + 31. What is the lowest common multiple of 3 and p?
39
Suppose -285 = 5*u + 4*m, 2*u + 3*u + 3*m = -290. What is the lowest common multiple of 6/27 + u/(-9) and 99/15 + 12/(-20)?
42
Suppose -6*x = -3*x - 18. Suppose 0 = -6*m + m + 455. Suppose -4*v = -3*d - m, 2*d = -0 - 2. Calculate the smallest common multiple of v and x.
66
What is the common denominator of -33/4 and ((-42)/(-315))/((-32)/318)?
40
Let z(k) = -k**2 - 6*k + 7. Let t be z(-7). Suppose 54 = 4*h - y + 2*y, t = -h - y + 12. Let r = -33 + 51. Calculate the lowest common multiple of h and r.
126
Suppose -10 = 5*b - j - 2, -4*b - 5*j - 18 = 0. Let h be (-16 + 1)/(1/b). Calculate the smallest common multiple of 12 and h/((-2)/4 - -2).
60
Let g = -3 + 4. Suppose -6*z + z + 3*o = -21, -o + g = z. Suppose -z*l + 16 = -38. Calculate the smallest common multiple of 14 and l.
126
Suppose 8*t - 445 = -61. What is the least common multiple of t and 3?
48
Suppose 3*l - 27 = 6*l. Let c(o) = -o**2 - 9*o + 11. Calculate the smallest common multiple of c(l) and 11.
11
Suppose 0*r - 72022 = -2*r. Let z = -4213255/117 + r. Let g = z + 2519/2340. Calculate the common denominator of -89/14 and g.
140
Calculate the smallest common multiple of (1/(-2) + 3)/((-3)/(-12)) and 10.
10
Let h = -1 - -2. What is the common denominator of 56/140 + (-126)/(-10) and (-157)/6 + h/(-3)?
2
Suppose 4*y = -3*m + 2*y - 83, 4*y = 8. Let i = 40 + m. What is the lowest common multiple of i and 5?
55
Let m be -5*(2 + 8/(-5)). What is the common denominator of 18/5 and 47/(-7) - m/14?
35
Let z(i) = 5*i**2 + 4*i + 2. Let v(j) = -2*j. Let m be v(-11). Suppose 0 = f - 5*y - m, 8 = 2*f - 3*y - 8. Calculate the least common multiple of f and z(-2).
14
Let i = -3668 - -5224. Let d = i - 12493/8. What is the common denominator of d and 15/11?
88
Let q = -15163 - -227539/15. Let i be 2 - 23/60*-62. Let r = q - i. What is the common denominator of 25/2 and r?
2
Let m(u) = 221*u + 7. Let q be m(11). Let s = -4977/2 + q. Find the common denominator of -3/4 and s.
4
Suppose -306 + 1202 = 2*f + 2*w, 0 = 2*f + 3*w - 896. Calculate the common denominator of -79/10 and (f/(-1240))/(4/10).
310
Suppose -6 = -2*i + 14. Suppose -4*l + i = -14. Calculate the lowest common multiple of l and 10.
30
Let z(q) = 2*q**2 - 4. Let d = -1 + 1. Suppose a + 9 = -3*h, d = -2*a + 4*h + 2. What is the least common multiple of 8 and z(a)?
56
Suppose 0 = -2*f - 2*t - 10, 0*t = -2*f + 5*t - 17. Let p(o) = o + 8. Suppose -2*k - 2*k + 80 = 0. What is the least common multiple of p(f) and k?
20
Suppose -81 = -4*f + 3. Suppose -3 + f = 3*r. Suppose 0 = 2*c + 3*s - 22, 0 = s + s. What is the lowest common multiple of c and r?
66
Let k(o) = o**2 - 9*o + 3. Let c be k(8). Let b(x) = -x**3 - 4*x**2 + 2*x - 4. Let q(p) = p + 6. Calculate the smallest common multiple of b(c) and q(0).
66
Let g = -438595/6 - -72782. Let m = g - -333. What is the common denominator of -53/2 and m?
6
Let k(h) = -h**3 + 5*h**2 + h - 1. What is the least common multiple of k(5) and 7?
28
Let o = 6 - -14. Calculate the least common multiple of o and 22.
220
Let m = -7778 + 77679/10. Find the common denominator of m and ((-67)/12)/((-2)/(-2)).
60
Let n be -4 - -3 - (-100951)/30. Suppose 5*m = 4*x + 13435, 10100 = -3*x + m - 2*m. Let q = n + x. What is the common denominator of -99/20 and q?
60
Let g(x) = 2*x + 4. Suppose 0*a = -b + 3*a - 5, -2*b + 14 = 2*a. Suppose -d - l + 14 = 0, -b + 14 = -5*l. What is the smallest common multiple of d and g(9)?
176
Let f be (-2 + -2)*13/4. Let s = f - -22. What is the least common multiple of 1 and s?
9
Suppose 4*r = r - 360. Calculate the least common multiple of (r/(-42))/(4/14) and 2.
10
Let n = 1217/40 - 159/5. What is the common denominator of 514/24 + 2/(-8) and n?
24
Let p = 3/12085 + 1812711/157105. Let q = 579/182 - p. What is the common denominator of -103/14 and q?
14
Let u be 1/(1/(-3)*-1). Suppose -u = -c + 5. Let l(j) = j**2 - 6*j + 11. What is the lowest common multiple of l(5) and c?
24
Let f be 3*(-6)/(-27)*6. Suppose -f*z + 270 = -2*s - 162, 2*s + 2*z = -432. What is the common denominator of -69/20 and (-4)/(s/381) - 1?
180
Let b be (-1 + 4)/(21/14). Suppose -2 - b = -2*f. Calculate the lowest common multiple of 12 and -1 + 2*9/f.
24
Let o(w) = 14*w. What is the least common multiple of o(1) and 12?
84
Let p = 34 - 2. What is the least common multiple of p and 16?
32
Suppose -4 = -2*m + 2. Suppose 2*f = -2*g - 27 + m, -22 = g - f. Le