
156
Let x = -42 - -30. Calculate the common denominator of x/(-20) + -1 + 247/(-20) and 145/18.
36
Suppose 0 = 4*w - 19 + 3. Suppose w*k + 15 = 7*k. Suppose -39 = -k*i + a, -3*i - 2*i + 41 = a. What is the smallest common multiple of 20 and i?
40
Let x(y) = 4*y**2 + 37*y - 27. Let m be x(-13). Calculate the common denominator of 3 + (8/(-12) - 551/m) and 91/24.
168
Suppose 5*z - 118 = -v, 126 = 5*z + 2*v - 5*v. Let o(m) = -m - 9. Let n be o(0). What is the common denominator of (-2 + 1)*58/n and z?
9
Suppose -62*h - 4*h + 1320 = 0. What is the least common multiple of h and 30?
60
Let u be (-2)/3 - (-5420)/(-3). Let r be (-65282)/(-90)*(-4 - 12/(-8)). Let b = r - u. Find the common denominator of -101/32 and b.
288
Let l = -263 - -269. Calculate the smallest common multiple of l and 152.
456
Let f = -14329/4 - -3603. Calculate the common denominator of 19/311 and f.
1244
Suppose 6 + 262 = 4*h. Let w = h - 23. Suppose x - w = -x. Calculate the smallest common multiple of x and 16.
176
Let q be 4 + (-9655)/2195 + (-4)/(-10). Let n = q - -76777/35120. Calculate the common denominator of n and 21/20.
80
Calculate the common denominator of (32/77)/2 - (-37)/(-518) and 113*2/(-20)*-1.
110
Suppose -p - 12996 = -2*h + 4090, p - 4 = 0. Let w = 2583959/100 + -432261/25. Let y = w - h. Calculate the common denominator of y and -9/10.
20
Let u(c) = c**3 + 2*c + 11. Let h be u(0). Suppose 2*o + 7 = h. What is the least common multiple of o and 16?
16
Suppose -5*x + 4*h = -354, 4*x = -3*h + 432 - 155. Calculate the smallest common multiple of x and 28.
140
Suppose 13*s + 10*s = 253. What is the lowest common multiple of 37 and s?
407
Suppose 21 = -3*q - 3*r, 2*q - 3*q = 2*r + 11. Calculate the common denominator of (-1)/((-3)/(-53)) - q/(-6) and 47/3.
6
Suppose 4*p + 2 = 2*g - 66, 0 = 5*g - 3*p - 135. What is the least common multiple of 129 and g?
1032
Suppose -w + 1 + 3 = 0. Let z = -80731/10 + 8082. Calculate the common denominator of (7/w)/((-6)/(-14)) and z.
60
Calculate the smallest common multiple of 1364/220 + (-8)/(-10) and 1.
7
Suppose 15*u - 9690 - 1725 = 0. Let c = 1579/2 - u. What is the common denominator of c and (-4)/6 - (-74)/(-60)?
10
Suppose 0 = -3*m - m + 16. Suppose 0*j - 4 = -m*j. Let t = -73 + 82. Calculate the least common multiple of t and j.
9
Let j be 1/(-72*(-2 + 14)). Let x be (1/5)/((-864)/(-28517)). Let i = j + x. Calculate the common denominator of i and 51/11.
55
Let n(a) = 2*a**3 - 3*a**2. Suppose 7 = 5*f - 3. Suppose 5*z - 1033*s = -1031*s + 52, 4*s + 24 = 0. What is the lowest common multiple of n(f) and z?
8
Let s be (7/(14/556))/(-2). Let o = s - -99. Calculate the common denominator of 25/26 and 8/(-12)*342/o.
130
Suppose 11*q = 13*q - 40. Calculate the least common multiple of 6 and q.
60
Let v be (-1 - -2496) + 3/(-9). Let c = v - 149699/60. Let g = 2471/60 - c. Find the common denominator of g and 67/2.
2
Let z(b) = b**2 - 5*b - 2. What is the least common multiple of 18 and z(6)?
36
Let l(t) = t**2 + 98. Calculate the smallest common multiple of 81 and l(17).
3483
Find the common denominator of -47/13 and ((-18)/(-108))/(7/(-61)).
546
Let x be (-126)/35 - (-2)/(-5). Let i(l) = 4*l + 1. Let h be i(x). Let p = h + 17. Calculate the least common multiple of p and 2.
2
Suppose -3347 + 559 = 4*o. Let t = o + 5569/8. Calculate the common denominator of (14 + 24/(-60))*(-3)/4 and t.
40
Let k(q) = -q + 5. Let g be k(4). Calculate the common denominator of -31/8 and ((-1)/12)/((-60)/(-56) - g).
24
Suppose 5*q + 500383 = 117528. Let h = -9341607/122 - q. Calculate the common denominator of h and -41/2.
122
Find the common denominator of 18/120*(-855)/594 and -51/32.
352
Let s = 33 + -23. Let f = -16 + 14. What is the least common multiple of f/9 - 148/(-18) and s?
40
Suppose -4 = -4*y + 20. Suppose -8*g + y*g = -40. Let m = -14 + 16. What is the lowest common multiple of g and m?
20
Suppose -3*b = 4*x + 115, b = 3*b - x + 62. Let h = b + 41. Suppose 4*u = 74 - 2. What is the lowest common multiple of u and h?
72
Calculate the common denominator of -67/24 and 599/252 + 4/(-2).
504
Let r = -15 + 47. Suppose -r = 5*z - 7*z. What is the smallest common multiple of z and 82?
656
Let i = 16608 + -2491213/150. What is the common denominator of 68/3 and i?
150
Let u be ((2 - 11)/3)/(-4 + 3). Suppose u*x = -5*w + 70, 2*w + 60 = 5*x - 5. What is the least common multiple of 4 and x?
60
Let i(b) = b**3 - 10*b**2 + 3*b - 12. What is the least common multiple of 12 and i(10)?
36
Suppose -23*q + 24*q - 2 = 0. Suppose -q*p + 5*p = 12. Calculate the lowest common multiple of p and 11.
44
Let d be 2673/24 - 0/1. Let t be ((-3615)/(-40))/1 + 2/3. Let i = t - d. What is the common denominator of 29/7 and i?
21
Calculate the lowest common multiple of (6/9)/(8/1320) and 20.
220
Let o be -7 + 833/77 - 4/(-22). Find the common denominator of (-2)/(-4) - (o - (-48)/28) and -31/112.
112
Let v = 3240709/168 - 19290. What is the common denominator of v and 121/280?
840
Let c(z) = -z - 2. Let l be c(-2). Suppose -2*w + l*w = 0. What is the lowest common multiple of (10*(w + 1))/2 and 5?
5
Let z(s) = 2*s**2 - 6*s - 1. Let p be z(6). Let a = -17 + p. Suppose 0 = -2*t + 5*t - 12. Calculate the lowest common multiple of t and a.
36
Let z = -11 - -15. Suppose z = r - 3. Suppose -3 = c - 2, 4*m - 5*c = 25. What is the smallest common multiple of r and m?
35
Let h = -25026/49147 + 25/49. Let g = -111343/10030 + h. Let q = 3139 - 25163/8. What is the common denominator of q and g?
40
Suppose 257*u - 262*u + 47 = 2*m, m + 3*u - 26 = 0. Let f(k) = -k - 3. What is the least common multiple of m and f(-4)?
11
Calculate the common denominator of 24/(-16) - 654/(-556) and -48/11.
1529
Calculate the least common multiple of 36 and 4/((-2)/2) - (-12 - 0).
72
Let o be ((-3303)/(-24)*2)/(-66). Let c = -72/11 - o. Find the common denominator of 69/4 and c.
8
Suppose -3*o - 23 = 5*n, 3*n + 5*o = -0 - 1. Calculate the common denominator of -46/3 and (-2106)/(-2821) - 2/n.
93
Let f be 24404/8*9/(-12). Let q = f - -2278. Find the common denominator of q and 6/(-27) - (-715)/90.
72
Let b(f) = -f**2 - 3*f. Let u be b(-8). Calculate the smallest common multiple of 1*(-6)/15*u and 48.
48
Let o = -6239/11 + 1709/3. Find the common denominator of 10/96 - 16/(-64) and o.
528
Let i = -16142/2637 - -3/293. Let h = 198157/22328 + 1/5582. Calculate the common denominator of i and h.
72
Let c = -2979141/68 - -43810. Calculate the common denominator of c and 87/64.
1088
Find the common denominator of ((-602)/60 - -10)/(-2 + (-4122)/(-2055)) and (46/36 - 1)*-13.
72
Suppose 0 = -46*s + 88*s - 168. Calculate the smallest common multiple of s and 8.
8
Let l = 4542765531/239928616 + 4/1764181. Let j be 6450/(-408) + (-2)/8. Let c = l + j. Calculate the common denominator of -45/2 and c.
8
Suppose -2*b + 5 = -y, -4*y + 2*b = -b. Suppose -2*f + f + 27 = 4*q, -8 = f - 3*q. Let d = y + f. What is the smallest common multiple of d and 10?
10
Find the common denominator of 17/8 and (15/(-40) + 4 - 3)*-7.
8
Suppose -12*r = -0*r - 15696. Let n = 10507/8 - r. Find the common denominator of 41/8 and n.
8
Find the common denominator of (33/(-2475))/(3/(-204)) and -1/36.
900
Let j = -53 + 61. Find the common denominator of (3/(-4))/(j/((-1056)/(-14))) and -81/38.
266
Suppose -348*h = -345*h - 684. Calculate the least common multiple of h and 30.
1140
Find the common denominator of ((-54)/(-9)*(-58)/(-54))/4 and -101/60.
180
Let m be -20 - -22 - -113*(-1 - -2). Let n = -14991/4 + 3772. Calculate the common denominator of n and (23/m)/((-8)/(-590)).
4
Let b = 18737/91 + -1458/7. Find the common denominator of b and ((-368)/(-40))/((-8)/30).
26
Let i = 36185/37773 - -7/1399. Find the common denominator of -53/7 and i.
189
Let v = 355233/114436 + 12/4087. Find the common denominator of 9/(-120)*534/(-9) and v.
140
What is the common denominator of 1 - ((-55)/110 + 406/180) and -19/20?
180
Suppose 0 = 4*c + 2*f - 23 - 19, -33 = -3*c - 3*f. Suppose -18*g + 15*g = -24. Calculate the least common multiple of g and c.
40
Suppose 0 = 39*k - 30*k - 198. Suppose -58*p - k = -60*p. Calculate the smallest common multiple of 31 and p.
341
Let q = 1980 - 1968. What is the smallest common multiple of q and 42?
84
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