-11*r + 12*r = 8. Suppose 3*w = r + 19. What is the least common multiple of 3 and w?
9
Let s = -335/26 + 839897/65182. Let u = 4/28303865879 - 9295131074053163/425746750551918. Let q = s - u. What is the common denominator of -89/18 and q?
18
Let d be -12 - ((-4)/1 + 1). Let c be (-9116513)/1116318 + 2/d. Let o = c - 2/26579. Calculate the common denominator of 75/4 and o.
36
What is the lowest common multiple of 52 and (3 - 0)/((17 + -9)/32)?
156
Calculate the smallest common multiple of (-62)/(-4) - (-1 + (-3)/(-2)) and 6.
30
Suppose -4*n - n + 15 = 0. Suppose -6*t + t - 10 = 0, -n*t = -2*p + 14. What is the common denominator of -59/7 and (p/(-6))/((-4)/(-12))?
7
Suppose 5*w - 4*w = 2*y - 56, 0 = 3*y - w - 82. What is the smallest common multiple of y and 6?
78
Suppose -18 = -2*t + 12. Let r = 1442 - 1430. What is the least common multiple of t and r?
60
Suppose 0 = -12*l + 64 - 16. Suppose -2*j - 13 + 47 = 3*c, 0 = -l*j + 4*c + 28. Calculate the smallest common multiple of 6 and j.
66
Let i(u) = -u**2 + 9*u + 4. What is the smallest common multiple of i(6) and 2?
22
Let n be (-6)/(-9)*6/(-14). Let k = n + 118/21. Find the common denominator of -32/7 and k.
21
Let u be 2 + 1 - (10 - 77). Let f = -48 + u. Let x = -21 - -43. What is the lowest common multiple of f and x?
22
Calculate the smallest common multiple of 1/((-4)/(420/(-1))) and 6.
210
Let h = 678 - 62349/92. Calculate the common denominator of 65/2 and h.
92
Let o(k) = k**3 - 2*k**2 - k - 1. Let h be o(0). Let m = 12 + 2. What is the smallest common multiple of m and (-48)/(h - 2)*1?
112
Let k be 1/(0 - 3/(-6)). Suppose y - 1878 = -k*y. Calculate the common denominator of y/(-90) + 26/65 and 37/7.
63
Let j = 2 + 0. Suppose z - 2*r + 2 = -3*z, 5*z - j*r = -5. What is the common denominator of 79/22 and ((-5)/z)/(70/75)?
154
Let j = 5 + 7. Let g(a) = -3*a**2 - 33*a + 20. What is the smallest common multiple of g(-11) and j?
60
Suppose 5*x - c - 437 = 0, -69*x + 5*c = -71*x + 191. What is the least common multiple of 3 and x?
264
Suppose 0 = 45*x - 69*x + 2736. Calculate the smallest common multiple of 100 and x.
5700
Suppose 0*r + 6 = 3*r. Let s(h) = h**2 - 2*h + 1. What is the smallest common multiple of r and s(-2)?
18
What is the least common multiple of (3 - 12/5) + 22386/65 and 21?
2415
Let n(c) = 4*c**2 + 3*c + 1. Let t(a) = -15*a + 70. What is the lowest common multiple of t(4) and n(-2)?
110
Let j = -7 - 1. Find the common denominator of (-142)/(-15)*(-6)/j and -21*(-5)/(-140) - (-50)/(-32).
80
Let r(h) = -103*h + 23. Let w be r(5). Let j = w - -8863/18. What is the common denominator of (-2)/8 - (-139)/(-44) and j?
198
Calculate the common denominator of 59/33 and 14/12 - 75/150.
33
Let g = -7660/11 - -692. Let s(n) = 11*n - 53. Let t be s(-17). Find the common denominator of g and (-8)/(t/207) - 2.
110
Let u(p) = p**3 - 4*p**2 + 5*p - 5. Let k be u(4). Let s = k + -9. Calculate the lowest common multiple of 8 and s.
24
Let i = 33 - 30. What is the least common multiple of 24 and i?
24
What is the common denominator of (-464)/(-56)*(-3)/(-3) and 26?
7
Let k be (-2*1)/((-8)/(-20)). Let i = 9 + k. Suppose -5 = -i*n + w, -5*w + 23 = 4*n - 0*w. Calculate the lowest common multiple of 2 and n.
2
Let c = -26 - -37. Suppose -4*w = 5*i - 46, 4*w - 18 - 8 = 5*i. Let b(h) = 3*h - 22. What is the least common multiple of c and b(w)?
55
Let b = -1 - -4. Let i be (-6)/b + 9 + 2. Suppose 2*h - i = h. What is the lowest common multiple of 4 and h?
36
Let g = -186 - -313. Suppose -2*o = o - b - g, -4*o = 2*b - 186. Calculate the least common multiple of o and 40.
440
Calculate the common denominator of 87/88 and (48/1120)/((-6)/115).
616
Let f(s) = -s**3 + 2*s**2 - 3*s + 1. Let r(y) = 4*y - 2. Let a be r(1). Let k be f(a). Calculate the common denominator of ((-1)/3)/(k/(-57)) and 63/8.
40
Calculate the smallest common multiple of 261 and (30/10)/((-1)/(-21)).
1827
Let m = -168 + 197. Calculate the smallest common multiple of m and 11.
319
Let l(x) = 15*x - 38. Let s(d) = -7*d + 19. Let m(p) = -2*l(p) - 5*s(p). What is the lowest common multiple of 28 and m(7)?
112
Let j(c) = -4*c**2 + 2*c - 1. Let i be j(-2). Find the common denominator of ((-4)/8)/(36/i) and 79/36.
72
Let d = -1486 + 118. Let c = 2661/2 + d. Find the common denominator of c and -63/20.
20
What is the common denominator of (-40)/22 - -2 - (-858)/(-5687) and -17/11?
517
Suppose 11*w + 4*f + 6 = 8*w, -w = 5*f + 13. Calculate the smallest common multiple of 9 and w.
18
Let k = 8909090/11 + -809345. Let t = 576 - k. What is the common denominator of 166/(-24)*(-144)/72 and t?
66
What is the smallest common multiple of 82/3 - (1 - -2)/9 and 210?
1890
Let p = 1676 - 1644. What is the lowest common multiple of 4 and p?
32
Calculate the least common multiple of 42 and (-3)/45 - 70588/(-420).
168
Let r = -2/2651 - 6011/18557. Find the common denominator of 23/66 and r.
462
Let t = 8 - 8. Suppose -3*w = 12, t = 2*c + w + 3*w + 22. Let r(q) = -q - 1. What is the lowest common multiple of r(c) and 10?
10
Let z(h) = -12*h**3 - 3*h**2 + 7*h + 5. Calculate the smallest common multiple of z(-2) and 9.
225
Suppose 0 = -3*c - 3*g - 2*g + 26, -3*g + 22 = 5*c. Suppose -r + 18 = -2*f, 3*r + 4*f - 18 = -4. Calculate the smallest common multiple of -7*(-2)/4*c and r.
70
Let u be (-6)/9*3 + 112. Suppose -2*m = 3*m + u. Find the common denominator of 0 + 2 + m/(-6) and -22/3.
3
Let q(d) = d + 17. Let x(n) = -11*n**3 + n**2 - n - 1. Calculate the least common multiple of x(-1) and q(-15).
12
Suppose -163 = -r + 55. Suppose 2*a - a = -r. Find the common denominator of 97/18 and (-4)/6 - a/24.
36
Let m = 122267 - 11004197/90. What is the common denominator of (873/24)/(192/128) and m?
180
Suppose c + 4*c - 5*m = 0, 3*m = -5*c - 8. Calculate the smallest common multiple of 10 and (-2)/3*(60 - 3)/c.
190
Calculate the common denominator of 7030/(-17100)*3/(-2) and -17/720.
720
Let x(s) = s**3 + 20*s**2 + s + 23. Let m be x(-20). Suppose w = -0*w - 2*q + 28, -4*q - 44 = -m*w. Calculate the least common multiple of 22 and w.
220
Let u = -18265802249/37493 - -487179. Let m = 2661973/562395 - u. Let k = -1126/165 + m. What is the common denominator of 75/2 and k?
22
Suppose 8*p - 1140 = -2*p. Let o = p + -100. What is the least common multiple of o and 1?
14
Find the common denominator of (11/8)/((-486)/(-504)) and -71/12.
108
What is the common denominator of 75/44 and (315/16)/3 - 4/8?
176
Let p(h) be the third derivative of h**5/12 + h**4/12 + h**3/6 - 7*h**2 + 1. Calculate the least common multiple of 70 and p(-1).
140
Suppose -23*r = 3*o - 19*r - 494, 4*o - 2*r - 644 = 0. Calculate the lowest common multiple of 24 and o.
648
Let l = -9168767/56 - -163736. Let o = l - -27/7. Calculate the common denominator of 37/24 and o.
24
Let k = -7620007/97818 + 44/2329. Let w = k - -549/7. Calculate the common denominator of w and -57/7.
42
Let f = -16007/9 - -1785. Let w = 9275 + -306005/33. What is the common denominator of w and f?
99
Let k = 7113 + -1408439/198. Calculate the common denominator of 109/242 and k.
2178
Let t = -248551/116172 - -2/3227. What is the common denominator of -113/54 and t?
108
Let f be ((-221845)/(-42) - 0) + 3/21. Let g = 5265 - f. Calculate the common denominator of 9/2 and g.
6
Let l = 3335/4 - 843. What is the common denominator of l and ((-1)/(-3))/(26/(-39))?
4
Suppose -4*f - 14 = -102. Let v = f + -21. Calculate the lowest common multiple of 20 and v/(1 + (-13)/14).
140
Let c be (6/9)/(6/27). Calculate the least common multiple of c/((1 - -2)/18) and 6/4*88/33 - 2.
18
Calculate the common denominator of -63/16 and (-8030)/12600*2 + 1.
5040
Let i = -40613/12 - -3381. Let n = 2/1653 + -114061/3306. Calculate the common denominator of i and n.
12
Let o = 883/2 - 6551/15. What is the common denominator of o and 49/25?
150
Let w(z) = z**2 + 4*z - 5. Let a(l) = -15*l + 137. Calculate the lowest common multiple of w(-6) and a(9).
14
Let t(u) = -u + 2 + 7*u + 0*u - 3*u. Calculate the common denominator of t(-5) and ((-238)/(-6))/7 - -1.
3
Let d(v) = v**2 + v. Suppose 0 = 7*s - 185 - 242. Suppose 3*b - 2*o - 3*o - 93 = 0, 2*b - 3*o - s = 0. What is the least common multiple of b and d(1)?
26
Let h = -476 - -478. What is the least 