+ 4*j**3 + 0 + 3*j**3. Let d be (-12)/(-2) + (26 + -6)/(-4). Calculate the least common multiple of 22 and x(d).
66
Suppose -14*y = -y - 988. Let t = 338 - 298. What is the least common multiple of t and y?
760
Let a = -12150 + 206503/17. What is the common denominator of (201/8)/(81/36) and a?
102
Suppose -5*y + 119*y - 2*y - 896 = 0. Calculate the least common multiple of y and 18.
72
Let t = -8395671551/3356 - -2501690. Find the common denominator of t and 69/4.
3356
Let v = -37 - -46. Suppose 4*r = v + 23. Calculate the common denominator of -71/4 and 6/r*374/33.
4
Suppose -83 + 7 = -4*z - 4*u, -5*u - 19 = -z. Suppose 4*v = v - 30. Let b = z + v. Calculate the least common multiple of b and 7.
63
Find the common denominator of 17/36 and 2/((12 - 14) + 24).
396
Suppose 4*s = -3*x + 19636, 0 = 3*x - s - 7907 - 11709. Let g = 209313/32 - x. What is the common denominator of 69/20 and g?
160
Calculate the least common multiple of 546 and (-4 - -24) + (-19)/((-209)/(-88)).
1092
Suppose 4*g - 4*l - 64 = 0, -g + 29*l - 27*l + 20 = 0. What is the smallest common multiple of g and 916?
2748
Suppose -212*n - 389 = -145*n - 1461. Let y(t) = 6*t. What is the lowest common multiple of n and y(1)?
48
Let q(g) = 3*g + 91. Let a be q(-24). Suppose -6*s + 4*s = -4*j + 80, s = j - a. What is the lowest common multiple of j and 35?
105
Let v = -118147/436310 - 4/6233. Find the common denominator of 57/14 and v.
70
Let d = 133 + -115. What is the common denominator of -109/30 and -2 - ((-64)/d + -1)?
90
What is the smallest common multiple of (1563/(-2))/((-513)/1368) and 1?
2084
Suppose -3*t - 3 = 0, g + 56*t - 57*t - 15 = 0. Calculate the lowest common multiple of 56 and g.
56
Let n = -521 - -701. Calculate the smallest common multiple of 48 and n.
720
Let x(v) = -v**2 - 16*v + 2. Let y be x(-15). Let z(h) = 2*h - 22. Let p be z(y). Find the common denominator of 23/15 and ((-162)/p)/((-10)/8).
15
Let k = -1191 - -1199. Calculate the common denominator of k - (2526/132 + -10) and (1/(-20))/(4/(-530)).
88
Suppose 0*x = x - 100. Suppose 0 = -4*a - x + 264. Suppose -4*o = 16, -425 = -5*q + o - a. What is the least common multiple of q and 16?
304
Let w be ((-21990)/(-72))/(-1) - 9/(-12). Let j = w - -18637/60. What is the common denominator of j and 0 - -1 - (-194)/36?
180
Let k be 2 - (2/5)/((-41)/(-410)). Calculate the common denominator of (k*2/(-860))/((-588)/(-24990)) and -35/8.
344
Calculate the common denominator of 15/2 and (218/(-108) + 2)/((-45)/(-180)).
54
Suppose 2*s = 2*h - 2678, -15 = -88*s + 85*s. Calculate the lowest common multiple of 192 and h.
1344
Let d = -3741 - -15013/4. Find the common denominator of -47/1272 and d.
1272
Let d = 2/23691 + 15740/639657. Find the common denominator of -87/62 and d.
5022
Suppose -25 + 10 = -5*a. What is the smallest common multiple of a - (2/(-3) - (-188)/(-6)) and 20?
140
Let m = 1487/111 - 693/37. Suppose -2*j + 113 = -j. What is the common denominator of m and 2/(-5) - j/30?
6
What is the least common multiple of (-381)/(-9) + 10/150*10 and 120?
5160
Let n be 1 + (2 + 0 - 4). Let f be (n + -333)*((-519)/(-66) + -8). Let k = -4305/88 + f. Find the common denominator of k and -95/318.
1272
Suppose -1966 = -8*n + 4*n + 2*d, -1969 = -4*n - d. Let x(l) = l**2 + 143*l - 2522. What is the least common multiple of n and x(16)?
5412
Let k = -13 + 21. Calculate the common denominator of 65/6 and (36/k)/(456/(-136)).
114
Let f(i) = 135589*i**2 + 15*i - 4. Let d be f(3). Let j be d/85*((-85)/(-20) - 3). Let p = 17944 - j. Calculate the common denominator of p and 25/3.
102
Suppose -12*w + 18*w - 12 = 0. Suppose -10*c + 5*c + 31 = -3*u, 4*c - 38 = -w*u. Calculate the smallest common multiple of 42 and c.
168
Let y be (-13)/(-13) - (517 - -2). Let g = y - -521. Calculate the smallest common multiple of g and 282.
282
Let a = 183 - 3. Calculate the lowest common multiple of 12 and (a/(-54))/((-1)/6).
60
Suppose -29 + 15 = -7*o. Suppose 5*f = o*k - 9, -f + 2*f + 3*k = -12. Calculate the common denominator of (-17)/2*f/(-36) and -59/9.
72
Let q be 2/8*-4 - 108578/5817. Let w = q - 2/1939. Let g = -32329/70 - -3200/7. Calculate the common denominator of g and w.
30
Let y(n) = -9*n - 12 + 0*n**2 + 2*n**2 + n**2 - 4*n**2. Let x(g) = g**2 + 6*g + 1. What is the lowest common multiple of x(3) and y(-5)?
56
Let u = 4709 + -14158/3. Find the common denominator of u and 9/160.
480
What is the lowest common multiple of ((1 - 1)/(-4) + 4)/(4/4970) and 350?
24850
Suppose -2*f - 6 = -0*f, 0 = 4*b + 5*f - 117. What is the least common multiple of 1140 and b?
12540
Suppose 5*j + a = 775, 0*j - a = -j + 161. Calculate the lowest common multiple of ((-17 - 1)*8/(-60))/(1770/5900) and j.
312
Let t = 247725010/2103 + -117796. Calculate the common denominator of t and 13/63.
44163
Let y(d) = -9. Let k(t) = 4. Let p(g) = -7*k(g) - 3*y(g). Let m(z) = z**2 - 3*z + 6. Let v(b) = m(b) + 6*p(b). What is the least common multiple of 2 and v(5)?
10
Let n(k) = -188*k - 882 + 73*k + 91*k. Suppose 5*i - 4 - 86 = 0. What is the lowest common multiple of i and n(-40)?
234
Let b = 924 - 918. Suppose 5*k - 5*z - 260 = 0, -3*z + 88 = 2*k - z. Calculate the lowest common multiple of k and b.
48
Let m(a) = 3*a**2 + 18*a + 87. Let q(u) = u**3 + 5*u**2 - 11*u + 16. Let j be q(-7). What is the smallest common multiple of m(j) and 64?
576
Let v(b) = -b**2 - 4*b - 7. Let l be v(-5). Calculate the lowest common multiple of (4*9/108)/((-1)/l) and 3.
12
Let z = 6999 - 4525. Calculate the lowest common multiple of 12 and z.
14844
Suppose m = 3*g + 18, 2*m - 8 = 3*g + 19. Let j(f) = f**2 + 2*f + 2. Let x be (3/(-2))/(3/6). What is the smallest common multiple of j(x) and m?
45
Let i(j) = -106*j**2 + 8*j. Let v be i(6). Let u be (-208)/130*2/8 + (-226279)/(-60). Let k = v + u. Calculate the common denominator of -59/27 and k.
108
Let m be ((-682)/(-275)*37610/48)/(-7). Let u = m + 1951/7. What is the common denominator of -115/54 and u?
540
Let c be 3 - (-19)/(-7) - 66/(-14). Suppose -3*p - c*x - 590 = -4*p, 0 = -2*p + 4*x + 1204. Find the common denominator of -9/14 and (-1)/(4/p*(3 + 2)).
14
Let h(j) = -j**3 - 16*j**2 - 17*j - 6. Let c be -19 - 2/((-3)/(4 + 2)). Let w(q) = -3*q + 3. What is the least common multiple of h(c) and w(-3)?
24
Suppose -6*q + 4*q + 4 = 0, -4*q = 2*b + 42. Suppose -3*m + 60 = -7*m. Let w = m - b. Calculate the smallest common multiple of 8 and w.
40
Suppose 3*n - 2*v = -0*n + 36, -4*n - 5*v + 94 = 0. What is the lowest common multiple of n and 360?
720
Let p(b) = 15*b + 57. Let v be p(0). Suppose -163 - v = -5*z. Suppose 24 = y - 8. What is the smallest common multiple of z and y?
352
Suppose -5*h + 4*h = 5*c + 5, -2*c + 5*h = 29. Let k(f) = -f**3 + 46. Let y be k(0). Let t = c + y. What is the least common multiple of 20 and t?
220
Suppose -2*t - 164 = -10*t - 2*s, -5*t + 108 = 4*s. Suppose 0 = 2*n - 67 - 29. Calculate the least common multiple of t and n.
240
Suppose -157*y = -156*y - 3*t - 6585, 3*y - 19839 = -3*t. Calculate the smallest common multiple of y and 33.
72666
Let m = 166 + -167. Calculate the common denominator of 3614/195*(13/8 + m) and 151/(-12)*10/(-10).
12
Suppose -629 = 3*s + 2*b - 673, -5 = b. Calculate the lowest common multiple of 2070 and s.
2070
Let z = 167011/219300 - 413/516. What is the common denominator of 86/45 and z?
7650
Suppose -5*l + 20 = 0, -5*j + l = -8080 + 6194. What is the smallest common multiple of 324 and j?
2268
Let v = -34469/30348 + 98/281. Calculate the common denominator of v and 41/276.
2484
Suppose 3*d + 17 - 59 = 0. Let o(w) = -116 + 6*w**2 + 95 + w**2 - d*w. What is the least common multiple of o(7) and 12?
672
Let x be -3 + (19 - (2 - -2)). Let c(g) = -g**3 + 14*g**2 - 22*g - 17. Calculate the least common multiple of 17 and c(x).
119
Let l(k) = k**3 + 4*k**2 - 2*k + 4. What is the smallest common multiple of (-11 + -7 + -266)/((-54)/27) and l(-4)?
852
Let u = 2101952265/4048 - 519257. Find the common denominator of -45/16 and u.
4048
Suppose 5*r = 10*r - 470. What is the lowest common multiple of (-1152)/(-63) - (-18)/(-63) and r?
846
Let c = 633 - 621. What is the least common multiple of c and 53?
636
Calculate the common denominator of (-405)/300*(3/(-6))/((-122)/4) and 65/18.
1