 6*(-6)/(-92) and ((-1)/7)/(2/x).
161
Let g = -590 - -990. Calculate the lowest common multiple of 14 and g.
2800
Suppose -3*c - 5*y = -31, 5*y - 6 = 4*c + 11. Let l = 10277/1719 - 13/382. Calculate the common denominator of 36/c*(-5)/460 and l.
414
Find the common denominator of 41/28 and (2037/280 - 6) + -3.
280
Let b = -9/244 + -8739/1220. Suppose 2*m = -2*z - 15 - 3, -3*m - 7 = -2*z. Calculate the common denominator of b and 34/(-13)*z/(-8).
65
Let k = 2994551/108 + -27727. What is the common denominator of 97/36 and k?
108
Let l(n) = n**3 - 4*n**2 + 4*n + 1. Let o be l(3). Let i = -2 + o. Suppose i*j - 3*c = 8, 12 = 3*j - 2*c - 3*c. Calculate the lowest common multiple of j and 2.
4
Let u = 303 + -288. Calculate the smallest common multiple of 24 and u.
120
Let k = -1849/2016 + -17/288. What is the common denominator of k and -80/57?
798
Let m = 65 - 17. What is the smallest common multiple of m and 24?
48
Let q = 1114/3 + -7942/21. Suppose 3*o - 4*o + 3 = 0. Suppose 3*m = -o*v + 99, -3*v + 135 = -0*m + 4*m. Calculate the common denominator of q and m.
7
Let r(b) = 2*b**2 - 9*b + 8. Let n be r(4). What is the smallest common multiple of 2 and 3*(n + (-55)/15)?
2
Calculate the common denominator of -87/2 and 6/(-9) - (-4807)/456.
8
What is the common denominator of (12/(-80))/((-1863)/(-3996)) and 83/138?
690
Calculate the common denominator of (-51)/(-36) - (-7 + (-85)/(-10)) and 445/63 + (-10)/35.
36
Calculate the lowest common multiple of 51 and -8 - 1 - (-19 + 4).
102
Let t = 1937 - 11591/6. Let y = -245963/14 + 17576. Calculate the common denominator of y and t.
42
Suppose -3*q + 8*q = 25. Suppose p + 0*p = -2*z + 14, 5*z + q*p - 25 = 0. Let k = 17 + z. Calculate the smallest common multiple of k and 3.
78
Suppose -4*v = -16, -4*z - 3*v + 144 = 32. Calculate the smallest common multiple of 275 and z.
275
Let x = 157/2 - 58. Calculate the common denominator of 0/2 + (-396)/(-40) and x.
10
Find the common denominator of 19/51 and (-18)/(-27) + 552/(-270).
765
Let u = -6274 - -702785/112. Find the common denominator of u and -97/12.
336
Suppose 0 = -70*r + 23*r + 7144. Calculate the lowest common multiple of 10 and r.
760
Find the common denominator of 37/(-1110) + (-4)/(-5) and -9/16.
240
What is the lowest common multiple of (-38)/(-57) - (-130)/3 and 66?
132
Let a be (-2)/9*1 - 427/63. What is the common denominator of 2/10*(-39 - 2) and 119/(-42)*(-6)/(-10)*a?
10
Suppose 0 = l - 5*r - 18, 0*l + 4*l - 5*r + 3 = 0. Calculate the common denominator of (10/(-4))/(l/(-13)) and ((-8)/((-256)/(-102)))/(3/(-20)).
28
Let p = 21 + 56. Let f = p + -55. Suppose -3*t + 26 = -16. What is the least common multiple of f and t?
154
Let n = 326/15 + -64/3. Let r = -15 + 36. Suppose -4*a + 5*g - 105 = 0, -a + 2*g - r = -g. What is the common denominator of a and n?
5
Let j = -820 + 2179. Let f = 8107/6 - j. What is the common denominator of f and (67/12*-2)/1?
6
Suppose -73*p = -74*p + 4. Let k(h) = -h**3 - 22*h**2 - 19*h + 44. Calculate the smallest common multiple of p and k(-21).
4
Let z(o) = -o + 16. Let x be z(17). Let u = -2 - x. Let h = 17 - u. What is the least common multiple of h and 20?
180
Let c = 3/427 - 50831/2562. Let h = -127795/12 - -10640. Calculate the common denominator of h and c.
12
Let j(f) = f**2 + 15*f + 19 - 38 - 3*f. What is the lowest common multiple of 9 and j(-14)?
9
Suppose -265 = -9*z + 4*z. Suppose -5*f - 25 = -4*s, 0 = -2*s + 5*f - 3 + 18. Calculate the lowest common multiple of z and s.
265
Let y = -14 - -18. Suppose -2*n - b = -3*n + 23, 0 = y*n + 2*b - 86. Calculate the least common multiple of n and 16.
176
Let x = -261 + 262. What is the smallest common multiple of 50 and x?
50
Let a(z) = z**3 + 36*z**2 - z - 27. Calculate the smallest common multiple of 3 and a(-36).
9
Let d = 22982323/6 + -34343587/9. Let s = -12718 + 27156. Let c = d - s. What is the common denominator of c and 79/16?
144
Let p = 165 - 87. Suppose -z - 2*b + p = 0, -5 = b + 4*b. Find the common denominator of -1 - (76/z - -2) and -81/14.
140
Let v = 6203/4 - 1540. Calculate the common denominator of 73/28 and v.
28
Suppose -i - 993 = 161. Calculate the common denominator of 8/(-36) + i/(-90) and 2*4/(-8)*108/(-8).
10
Let c be 5/(45/(-79068)) - (-2)/6. Let o = 52567/6 + c. Let t = 593 + -2451/4. What is the common denominator of o and t?
12
Let l = -70006 + 37103169/530. Let q = -20449/2120 - l. Let k = 186 - 1557/8. Find the common denominator of k and q.
8
Calculate the common denominator of (8/(-7))/((-1)/2) and (-3)/15*97*(-6)/12.
70
Let n be 4/14 + (-192)/(-14). Suppose -4*i = -2 - n. Calculate the lowest common multiple of 6 and i.
12
Suppose -7*b + 299 = -65. What is the smallest common multiple of b and -3*(0 - 28/6)?
364
Let d(i) = -2*i - 2. Let r be d(-2). Calculate the common denominator of 85/14 and r/(-6) + 2 + -9.
42
Let c = 193195/42 + -4601. Find the common denominator of c and 83/18.
126
Let y = -84682/19 - -4455. Let j = -683 - -4768/7. What is the common denominator of y and j?
133
Let o(u) = -11*u - 54. What is the smallest common multiple of 9 and o(-12)?
234
Let p(a) = -2*a**3 + 4*a**2 + 2*a - 2. Let f be p(-2). Suppose f + 22 = 3*b. Calculate the smallest common multiple of b and ((-1)/(-2) - 3)*(-1440)/200.
144
Let h = -480 + 534. What is the lowest common multiple of h and 144?
432
Let r = 30913/12 + -2579. Find the common denominator of r and (2/3)/((-12)/(-183)).
12
Let l be 10 - (7 + -5 + 0). Suppose -z + 4*z - 36 = 0. Suppose -2*p + z = -l. Calculate the smallest common multiple of p and 4.
20
Let r = -13898/7 + 612177/308. Find the common denominator of 231/(-98) + (2 - 0) and r.
308
Let w(q) = -q**2 + 13*q - 11. Let f be w(12). What is the common denominator of (f - 1/3)*(-175)/(-84) and 87/482?
4338
Suppose 0 = -46*i + 23*i + 460. What is the smallest common multiple of i and 28?
140
Suppose 5*u + 2 = -3*f, 5*u = 2*u - 12. Let c(l) = 3*l**3 - 4*l**2 + 2*l + 2. Calculate the lowest common multiple of f and c(2).
42
Suppose 4*w - w = -t + 24, 5*t - 4*w = 44. Suppose -z + 4 + 2 = 0. Suppose -1 + 13 = z*q. Calculate the smallest common multiple of t and q.
12
Let v(b) = 9*b**3 - 2*b**2 - b + 2. Let k be v(1). Let h = k - 12. Calculate the common denominator of 1/7 and (-188)/60 - h/(-20).
21
Suppose -4*a + 6*a - 6 = 0. Suppose -2*i + 13 = -5*g - 13, 0 = -a*g - 12. What is the lowest common multiple of i and 2?
6
Let m be 1/(-2)*8 - -1. Let v(k) = -k - 3. Let p be v(m). Find the common denominator of 23/18 and 108/56 + (-3 - p).
126
Let q be (-20)/(-6)*(-12)/(-8). Suppose -r - 4*r + 165 = -q*h, 0 = -3*r - h + 103. Calculate the least common multiple of r and 5 + (1 + 0 - 2).
68
What is the common denominator of (-113)/(-126) - 4/14 and (-8)/(-6) - ((-18095)/(-726))/(-47)?
198
Suppose -q = 3*b + 2, 5*q - 15 - 15 = -5*b. Let x = -3256 - -3260. What is the least common multiple of x and q?
20
Let f = 73/435 + 8981/7830. What is the common denominator of f and 2/24*(-53 + (-220)/(-10))?
108
Calculate the common denominator of ((-819)/(-10))/9 - (-1 + 2) and 73/60.
60
Let w be (-2 - -9) + (-4 - -1). Suppose 4*s = -z + 9, w*s + 2*z = 2*s. Let b = 2 - -22. Calculate the least common multiple of s and b.
24
Let k = -278 - -282. Let o = 12 + -5. What is the smallest common multiple of k and o?
28
Let k = 61/15 - 1733/120. Let i = -462311/128212 + -6/4579. What is the common denominator of i and k?
56
Suppose 0 = 5*m - 251 + 201. Let g = -8974/3 - -2966. Find the common denominator of 3/((-3)/2) + 335/m and g.
6
Suppose -3*t - 3 = -3*s, -s - 1 = -4*s + 5*t. What is the common denominator of 82*s/(-40) - -1 and -19/22?
110
Let u = -1965 - -1973. What is the smallest common multiple of 4 and u?
8
Let g(l) = -2*l**2 + 31*l - 6. Let c be g(14). Calculate the common denominator of 1/2 - (-178)/c and 55/6.
18
Suppose 0*x + r = 3*x - 16, 5*x - 4*r = 22. What is the smallest common multiple of x and (1 - 17/2)/(33/(-44))?
30
Let f = 1619 + -9743/6. Suppose 3*g = -4*m + 18, -3*g = -2*m - 4*g + 8. Find the common denominator of m/(-78)*-94 + -2 - 2 and f.
78
Calculate the common denominator of (-14)/6 + -4*517/1584 and 11/60.
180
Let m = -300351772598/2319 - -129517801. Let g = 3/3092 + m. Find the common denominator of g and -35/6.
