
80
Let o = 43 - 34. Calculate the common denominator of 107/14 and (3 - 35/12)*(-206)/o.
378
Let l = 3 + 7. Let q = -294299/172 - -1711. Let y = q - 7319/1892. Find the common denominator of l and y.
11
Find the common denominator of (-61163)/899992 + (-2)/(-19) and -95/22.
16808
Suppose -2*h = h - 33. Let i = h - 6. Calculate the least common multiple of 46/12 - 9/(-54) and i.
20
Let f = 207 + -97. Suppose 0 = -s + f. What is the lowest common multiple of 22 and s?
110
Suppose 41 = 3*z + 14. What is the lowest common multiple of (5/(5/(-8)))/((-16)/24) and z?
36
Let y be (-6 - -2)*2/(-4). Let x(j) = -10*j**y + 12*j + j**3 - j - 82 + 66. Calculate the lowest common multiple of 8 and x(9).
8
Suppose 0 = 3*x - 4*g + 10, -1 = 2*x - 2*g + 3. Let m = 49073/12 + -4080. What is the common denominator of (-1 - (-61)/x) + 4 and m?
12
Calculate the common denominator of -27/8 and 461/(-124) + 0 + (1 - -3).
248
Let t = 4069/175 + -93/4. Let o = t - -3323/1400. Find the common denominator of (-4)/10 - (-47)/10 and o.
40
Let o be 0 + 5/27 + -2. Let h = -1396/189 - o. Find the common denominator of h and ((-53)/(-7))/(768/(-448)*(-10)/12).
70
Let n = -2 + 8. Let s = n + -16. Find the common denominator of s/(-44) - (-1 + -2) and 27/10.
110
Let r be (-9)/2*2/(-3). Suppose 4*y + 69 = 3*h + y, r*h - 59 = y. What is the smallest common multiple of 20 and h?
180
Suppose -4*n + 121 = 297. Let u = n - -58. What is the lowest common multiple of 4 and u?
28
Let d = 32271 - 774365/24. Let v = 7 + 1/2. What is the common denominator of d and v?
24
Suppose 4*d + 49 = 11*d. What is the lowest common multiple of 9 - (d - 8/2) and 15?
30
Let v(o) = 5*o + 6. Let x(j) = j**3 - 13*j**2 + 13*j - 13. Let g be x(12). Calculate the smallest common multiple of 3 and v(g).
3
Let l(n) = -n**2 - 12*n - 23. What is the smallest common multiple of l(-7) and 24?
24
Let j = 679 - 665. What is the lowest common multiple of 52 and j?
364
Suppose 3*a = -3*r + 4 - 1, -2*a + 3*r + 17 = 0. Calculate the smallest common multiple of (72/14)/(12/42) and a.
36
Let l be (3/30)/(2/(-355)). Let b = 91/6 + l. Let x = 25108 - 552265/22. Find the common denominator of b and x.
132
Calculate the smallest common multiple of (-8)/(-56) - (-1342)/14 and 1.
96
Let f = -546 - -847. Find the common denominator of (f - -1)*(-11)/132 and 169/60.
60
Calculate the common denominator of ((-17)/(-204))/(2/(-356)) and -51/20.
60
Let d(a) = -a**2 - 5*a - 3. Let y = 100 - 90. What is the smallest common multiple of d(-4) and y?
10
Let i(u) = -u**2 - 5*u + 5. Let y be 14/(-77) + (-96)/(-44). Let s = 0 + y. Calculate the least common multiple of s and i(-5).
10
Let q(x) be the first derivative of x**2/2 - 4*x + 3. Let y(c) = -7*c**3 + 2*c**2 - 1. Let k be y(-1). What is the least common multiple of 8 and q(k)?
8
Let q(f) = -44*f**3 - 5*f**2 - 9*f - 3. What is the least common multiple of 120 and q(-1)?
360
Let i = -12046/9 + 421559/315. Calculate the common denominator of i and 117/50.
1050
Suppose -2 = -42*a + 40*a. Suppose 4*n + 2 - 10 = 0. What is the smallest common multiple of n and a + 11/2 - (-1)/2?
14
Find the common denominator of 117/10 and -5 - (68/(-25))/1.
50
Let r = -40 + 37. What is the least common multiple of 3 and (8 + -6)/((-2)/21*r)?
21
Let f = -185 + 218. What is the smallest common multiple of 126 and f?
1386
Suppose 3*g - 2*g - 11 = 2*m, -m - 16 = 3*g. Let j = m - -14. Suppose 50 = j*t - 2*t. Calculate the lowest common multiple of 10 and t.
10
Let k(m) = m**3 - 4*m**2 - 2*m - 3. Let v be k(5). Suppose 33 = 5*i + 3*a - v, 3*a = -4*i + 39. Calculate the least common multiple of 24 and i.
24
Let p(c) = 15*c**2 + 7*c + 13. Let b be p(-6). Find the common denominator of b/90 + (-8)/20 and 101/6.
18
Calculate the common denominator of ((8/(-12))/2)/((-24)/363) and (3*302/90)/(-2).
120
Suppose -5*j = 47 - 187. Calculate the lowest common multiple of j and 44.
308
Let q be (3 - -2)*4/10. Let p be (-33)/(-3)*1/1. Let z = q + p. What is the least common multiple of 9 and z?
117
Let x = -37181 + 521001/14. Let n = 37 - x. Calculate the common denominator of 87/(-4)*(-4)/42 and n.
14
Let x be (314/(-355))/(44/(-197)). Let m = x + -2/355. What is the common denominator of m and 4 + -1 - (-568)/(-144)?
198
Let a(d) = -210*d + 2. Let b be a(5). Let g = -6187/6 - b. What is the common denominator of (-214)/44 - 5/(220/(-8)) and g?
66
Suppose 5*j - u = 21, 0*j + 2*j - 3 = -5*u. Let x be (0 + -2)*16/j. Calculate the common denominator of 38/3 and (9/(-36))/(6/x).
3
Suppose 10*i - 261 = 419. What is the lowest common multiple of i and 5?
340
Suppose -4*k + 0*k + 1630 = -2*h, 0 = -3*h + 4*k - 2435. Find the common denominator of 29/16 and -3 - (0 - h/(-30)).
48
Let a be -60*-2*(-1)/(-2). Let d = 2049/2 + -976. Calculate the common denominator of (-854)/a + (-2)/(-5) and d.
6
Let g = -26 + -2. Calculate the common denominator of (86/(-10))/(g/(-35)) and 1/48.
48
Suppose 7*f = 12*f + 1695. Find the common denominator of -115/6 and (f/(-63))/(1 + (-3)/9).
42
Suppose 4*f = -f + 740. Calculate the common denominator of -4 + (314/f - -2) and (-5)/4*364/50.
370
Calculate the common denominator of 73/78 and 12 - (-832)/(-65) - 434/(-180).
234
Let g = 44 + -39. Suppose 0 = 5*x - 3*j - 246, -g*x - 5*j + 119 = -111. What is the least common multiple of x and 4?
48
Let j = -6558 - -11407. Let v = j + -77499/16. Calculate the common denominator of 151*(11/12 + -1) and v.
48
Let m be 60*(-30)/(-80)*(-4)/(-3). Let f = 39 - m. What is the least common multiple of f and 10?
90
Let q = 0 + 3. Suppose k + 22 = q*k. Calculate the lowest common multiple of (-1 + 3/(-1))/(2 - 3) and k.
44
Let b = -3127/5 - -12483/20. Let d = 29655 + -2431771/82. Find the common denominator of d and b.
164
Let o = -2/6627 + -642767/172302. Suppose 3*l + 2*l + 250 = 0. What is the common denominator of l/(-44) + -2 + -3 and o?
286
Let i(q) = -q**2 + 8*q. Suppose 0 = 2*s - 3*v - 16 + 2, 3*v + 16 = 4*s. Calculate the lowest common multiple of i(7) and s.
7
Suppose 5*r - 5*b = 0, -4*r - 9 = -3*r - 4*b. Suppose -3*o - 2 = -2*d - 5, -4*o = d - 4. What is the least common multiple of o and r?
3
Let p = -19 + 74. Suppose 2*y = 7*y - p. Suppose -1140 + 1176 = 9*z. Calculate the least common multiple of z and y.
44
Suppose 2*w - 3*c - 2*c = 0, -w + 5*c = 0. Let h(g) = -27*g**3 + 1. Let z be h(-1). Suppose w = 2*u - 4*u + z. What is the smallest common multiple of u and 8?
56
Suppose -59 + 203 = 3*w. Suppose -4*d = 36 + w. Find the common denominator of (-30)/4*(-35)/d and -16/5.
10
Suppose -3*h - 24 + 10 = -x, -5*h - 12 = -x. What is the lowest common multiple of x and 3?
51
Let g = 10 + -7. Suppose -4*s + g*s = -y + 14, 0 = -2*y + s + 23. Let w = -22 + 32. What is the lowest common multiple of y and w?
90
Let m(j) = j**2 - 2*j + 1 + 7*j**2 + 7*j**2. Let q be 2*(0 - 2)/(-11 + 7). Calculate the least common multiple of m(q) and 12.
84
Let t be 508/20 - (-2)/(-5). Suppose -q - 2*q = -2*s - t, 23 = 3*q - 4*s. What is the smallest common multiple of q and 5?
45
Suppose 2*c + 2*u = 5*u - 15, -c - 3*u - 30 = 0. Let k = c + 14. Calculate the common denominator of (-302)/12 + k/3 and 17/20.
20
Suppose 9*t - 4*t = 175. Calculate the common denominator of 131/18 and (-10)/t - (-459)/112.
144
Let g(r) = 7*r**3 - 4*r**2 - 4*r + 8. Calculate the least common multiple of 124 and g(2).
1240
Find the common denominator of ((-1)/4)/(2/122) and 290/8*8/24.
12
Let t(s) = s**2 + 74*s - 74. What is the least common multiple of 75 and t(-75)?
75
Calculate the common denominator of -52/7 and (-6)/4 + ((-6853)/3366 - -4).
1071
Let h = 52 - 25. Suppose -2*s = -33 - h. What is the least common multiple of s and 33?
330
Suppose 117*a - 190 = -73. What is the lowest common multiple of a and ((3 - 2) + -11)*-1?
10
Let w(y) be the second derivative of y**4/12 - 5*y**3/6 + 4*y**2 + 3*y. Calculate the lowest common multiple of 5/(-20)*2*-32 and w(6).
112
Let b = 652 + -634. What is the smallest common multiple of b and 10?
90
Let u be (-142)/43 + (-69)/(-23). Let n be 11126/(-1032) - (-2)/(-8). Let g = u + n. What is the common denominator of g and -29/4?
12
Let s(c) = c + 3. Suppose r + 1 = -1. Let d = r - -5. Calculate the lowest common multiple of d and s(3).
6
Let q = 3 + -1. Suppose 0 