**2 + 14*f. Let r(n) = 11*v(n) + 6*y(n). Calculate the smallest common multiple of 9 and r(-8).
18
Let x = 2729/2790 - -12/155. Find the common denominator of x and (3/30)/((-46)/415).
828
Let y be (24/(-27))/(10/(-45)). Suppose -y*h + 20 = -3*c, -6 = -5*h + c - 2*c. Calculate the least common multiple of 13 and h.
26
Let r = -104 - -4054/39. What is the common denominator of r and 49/3?
39
Let k = 1565722/51 - 30699. Calculate the common denominator of k and 5/51.
51
Let i = -91158/132095 + 2/4555. Find the common denominator of i and (-819)/(-90) - 6 - 0.
290
Let i = 9 - 3. What is the smallest common multiple of (-24)/(-32) + (159/4)/3 and i?
42
Let h(i) = 18*i**2 - 32*i - 72. Calculate the smallest common multiple of h(8) and 6.
2472
Let x(g) = 85*g**3 - 4*g**2 - 2*g + 2. Let w be x(-2). What is the common denominator of (2/(-8))/(55/w) and -49/11?
22
Suppose 256 + 1087 = 17*p. Calculate the least common multiple of p and 10.
790
Let n = -4169 + 4171. Suppose c + 3 = -2*b - 4, 0 = -4*b + 3*c - 19. Let t = 0 - b. What is the lowest common multiple of n and t?
4
Let q(a) = -8*a - 11. Let y(n) = 15*n + 21. Let t(d) = 11*q(d) + 6*y(d). Calculate the least common multiple of t(-2) and 24.
24
Let b = 496/21 + -4657/210. Calculate the common denominator of b and 13/49.
490
Calculate the common denominator of 7/132 and ((-255)/440)/17*(-34)/(-12).
528
Let k = -15675/14 - -1125. Find the common denominator of k and 23/42.
42
Find the common denominator of -29/104 and 462/5760*4 - 2/15.
208
Let x(w) = -5*w + 3. Let s be x(-3). Let z = 26 - s. Calculate the least common multiple of z and 22.
88
Suppose 0 = 3*o + 10 - 16. Suppose t - o*t + 1 = c, -t = 4. Calculate the least common multiple of 2 and c.
10
Let u(p) = p**3 + 5*p**2 - p + 19. Let d be u(-6). Let l(b) = -2*b**2 + 3*b - 3. Let z be l(2). Let g = z - d. What is the lowest common multiple of g and 13?
78
Suppose 1062 = 12*w - 1854. Calculate the lowest common multiple of w and 33.
2673
Let h(a) = a**3 + 6*a**2 + 5*a - 1. Let y be h(-5). Let n be 13/(-2)*(37 + y). Find the common denominator of 43/10 and n/9*1/(-21).
210
Let g = 23684 + -852689/36. What is the common denominator of -87/2 and g?
36
Suppose 23*w + 6 = 26*w. Let g = -4 - -10. What is the smallest common multiple of w and g?
6
Let s = -40 - -48. Suppose -3*u + 5*a = -4*u + s, -2*u + 11 = 5*a. Calculate the least common multiple of 7 and u.
21
Let x = 14 + -7. Let l(t) = 2 + x*t + 1 + 2 + 8*t**2 + t**3. What is the common denominator of l(-4) and -73/8?
8
Let z = 40/6087 + 240491/146088. Calculate the common denominator of z and 43/32.
288
Let x be (-2 - -3)*(2 + 2). Suppose -3*a - x*a = -1001. What is the common denominator of a/(-26)*2/3 and -20/7?
21
Let f = 580 + -547. Calculate the least common multiple of 77 and f.
231
Let x(t) = 7*t - 43. Calculate the smallest common multiple of x(7) and 2.
6
Let y = 1213 + -1158. What is the least common multiple of y and 45?
495
Suppose 5*k = -1 + 16. Calculate the smallest common multiple of 8 and 6*(k + (-3)/((-3)/(-2))).
24
Let z(p) = p**2 + 10*p + 17. Let q(x) = -2*x - 26. Let j be q(-9). Calculate the lowest common multiple of z(j) and 1.
1
What is the lowest common multiple of 14 and 37 - (25/(-2))/5*-2?
224
Calculate the common denominator of (-29)/2*2/22 and 2366/(-156)*(-6)/(-40).
440
Let d = -2 + 5. Let b = 15525 - 15516. Calculate the lowest common multiple of d and b.
9
Let y be (-17)/5 - (-6)/15. Find the common denominator of 89/8 and 1/y + -109*(-1)/48.
16
Let s = -622 - -208386/335. Calculate the common denominator of s and -29/10.
670
Suppose -11*a = -16*a, 0 = -3*t - 2*a + 60. What is the least common multiple of 8 and t?
40
Let j = -613 + 615. Let c(y) = -y + 3. What is the lowest common multiple of j and c(-3)?
6
What is the common denominator of 19147/25830 - 4/14 and 7/288?
1440
Calculate the common denominator of (-1 - 9/(-2))/((-418)/(-228)) and (-15)/(-10)*2/12.
44
What is the common denominator of 109/84 and ((-855)/2835)/((-10)/(-24))?
420
Calculate the common denominator of (989/(-23))/(230/(-3)) and -57/10.
230
Let i = -63 + 123. Calculate the least common multiple of i and 40.
120
Suppose -5*m = 3*y + 4, -3*y = -3*m + 6*m - 6. Suppose -y*v + 27 = -4*v. Calculate the least common multiple of 33 and v.
99
Let k(a) = -23*a + 3. Calculate the lowest common multiple of 3 and k(-1).
78
Let n(z) = z**3 - 22*z**2 + 6*z - 8. Let j be n(13). Let u = j + 11655/8. Let y = 384899/71940 + -1/3597. Find the common denominator of u and y.
40
What is the common denominator of ((-65)/(-35))/((-36)/(-14)) and -117/10?
90
Let d be 4 + ((-5 + 3)/2 - -2). Suppose n = d*v + 168, -2*n + 29 + 281 = 3*v. Calculate the least common multiple of n and 22.
1738
Calculate the common denominator of (276/16)/(4 - (-54)/(-12)) and 2 - (-1 + (-49)/(-12)).
12
Let f be 2/7 - (-38)/14. Let y(p) = 43*p - 7. Let t be y(f). Let c = t - 84. What is the least common multiple of c and 16?
304
Let x be (4/3 - 1)/(1/678). Suppose 191 = -5*z + x. Calculate the least common multiple of z and 8.
56
Let r = -49873/10 - -4996. Calculate the common denominator of r and (30/(-2))/(5/(50/28)).
70
What is the common denominator of 1 + 1/(1435/(-485) - -3) and -21/1016?
1016
Let z = -61340 - -23554511/384. Calculate the common denominator of -103/24 and z.
384
Suppose -4*s = -0*s - 2*l - 28, 2*s = -5*l + 2. Calculate the smallest common multiple of s and 116.
348
Let f = -1529/4 + 374. Let k = 422901 + -43982395/104. Let v = k + 49/13. Calculate the common denominator of v and f.
8
Let g(l) = l**3 - 2*l**2 + 5*l + 2. Suppose 4*k - 4*i = 340, 3*k + 3*i - 145 = k. Suppose 30 = -5*m + k. Calculate the smallest common multiple of g(0) and m.
10
Suppose 0 = 2*u - 0*h + 3*h - 561, -851 = -3*u + 5*h. What is the lowest common multiple of u and 22?
3102
Let w = -65 - -100. Calculate the lowest common multiple of 550 and w.
3850
Suppose 3*j = -3*l + 3096, 5*j - 4972 = -4*l + 189. Let m = j + -4109/4. Calculate the common denominator of m and 0 + 8/12 - 51/(-3).
12
Let k be ((-12)/(-9))/((-1)/(-3)). Let j(f) = -k - f - 8*f**2 + 7*f**2 - 6*f. What is the lowest common multiple of j(-3) and 1?
8
Let r be 0 + 3 + -10 + 1. Let f be (1 + 1)*r/12. Calculate the common denominator of -3 - (f - (-117)/(-12)) and 22/7.
28
Let i = -24 - 0. Let f be i/(-18) + (-30110)/6. Let u = -50213/10 - f. Find the common denominator of u and 37/8.
40
Let h = 73 + -10. Calculate the smallest common multiple of 21 and h.
63
Let u = 2750069/85494 - 2/14249. Let x = u + -32/3. Find the common denominator of x and 50/3.
6
Let z = -572492 - -5691403/10. Let o = 3344 + z. Let g = 80/117 - 4645/234. What is the common denominator of g and o?
30
Suppose -5*u = 4*h - 42, 7*h = -4*u + 8*h + 42. What is the least common multiple of 90 and u?
90
Let g be 4/(-214)*(4/8 - -1). Let y = -161/1926 - g. Find the common denominator of 53/18 and y.
18
Let l = -187766/25 - -7512. What is the common denominator of ((-30)/90)/(6/74) and l?
225
Suppose -3*t + 4*q + q = 33, 3*t + 30 = 4*q. Let c be 8/t - (-8)/24. What is the common denominator of 37/7 and (c/(-2))/((-45)/(-27))?
70
Suppose 5*l = 2*r - 100, -3*r - l + 41 = -126. Calculate the least common multiple of 5 and r.
55
Let j = -1596 + 1606. What is the smallest common multiple of 31 and j?
310
Let z = -4 + 7. Suppose -43*p + 264 = -10*p. Calculate the least common multiple of z and p.
24
Let s = 2/5171 + -460235/41368. Let p = 2/1093 + -27337/6558. Calculate the common denominator of p and s.
24
Let r = -10 + 24. Suppose 3*g = 5*v, 0*g + 22 = 2*g + 4*v. Calculate the least common multiple of r and g.
70
Let y be (4/(-6))/(10/(-15)). Suppose -3 - y = -r. Suppose r*b + 100 = 5*c, 4*c - 5*c - b + 11 = 0. Calculate the lowest common multiple of 12 and c.
48
Suppose 2*a + 4*t + 3 = -9, 2*t = -10. What is the smallest common multiple of ((-104)/39)/((-7)/21) and a?
8
Let o(p) = p**3 - 2*p**2 + p + 1. Let m be o(1). What is the smallest common multiple of 9 and 66/(-1 - (m - 4))?
99
Let x(n) = -39*n**2 - 1. Let m be x(-1). Let t = -37 - m. What is the least common multiple of t and 9?
9
Let z be 1/(-2)*2 - (-944315)/60. Let k = 15725 - z. Calculate the common denominator of -143/6 and k.
12
Suppose 0 = 4*t - 32 - 2