
1554
Let j = -54 + 57. Suppose 0 = 4*n - c - 123, -3*n = 3*c - j - 78. Calculate the lowest common multiple of n and 18.
90
Let j = 31 - 28. Find the common denominator of (-1554)/396 + 4/j and -47/18.
198
Find the common denominator of (7 - 3) + 1134/(-192) and 33/20.
160
Let b = 8673/6292 - -3/484. Let g be ((-1780)/28)/((-2 + 1)*-2). Let t = -65/2 - g. What is the common denominator of t and b?
91
Let b = -378073/145068 - 5/5181. Let v = -1812 + 72489/40. What is the common denominator of b and v?
280
Suppose 18 + 0 = 6*u. Suppose -8*c + u*c + 426 = 2*a, a + 81 = c. What is the smallest common multiple of 6 and c?
84
Suppose -27 - 29 = -14*f. Suppose 0 = -2*b + 7*b - 320. Suppose 6*v - b = -f. What is the lowest common multiple of 5 and v?
10
Let n = -1477/80 + 97/5. Find the common denominator of 21/64 and n.
64
What is the least common multiple of ((-1)/3)/((-6)/90) and 1?
5
Let i be (-2 + 1)/1 + 3. Suppose 5*p = -q + 2, 5*q + p - 76 = 30. Calculate the smallest common multiple of q and (-4)/i - (-6)/1.
44
Suppose 3*g + 0 = 6. What is the lowest common multiple of g and ((-8)/20 + 43/(-5))*(101 - 102)?
18
Let f(s) = -s**2 + 25*s - 154. What is the smallest common multiple of f(13) and 228?
228
Suppose -3*y - y - 9 = -5*h, -4*y + 1 = -3*h. Let k = h - 3. Calculate the lowest common multiple of 12/(-36) - 3/((-18)/44) and k.
14
Let p(j) = 12*j**3 - j. Let g be p(1). Calculate the common denominator of 26/(-6)*36/120 and 45/g*(-6)/(-15).
110
Suppose 0 = -4*c + 4*x + 28, 2*c = 3*c - 4*x - 16. What is the common denominator of c/12*(-171)/10 and 3/(165/(-95))*(-2)/(-1)?
110
Calculate the common denominator of (82/(-7))/((-804)/(-469)) and (5/(-6))/(1/3).
6
Let b = -1/4852138 + -118263585539/19408552. Let c = 6082 + b. What is the common denominator of 57/22 and c?
88
Suppose -2*i + 6*m + 280 = 9*m, -4*i + 560 = -4*m. Calculate the smallest common multiple of 154 and i.
1540
Let k = 74689/42 - 1777. Calculate the common denominator of -10*(-13)/8 + 3 and k.
84
Calculate the least common multiple of (-200)/240 - 82/(-12) and 38.
114
Let v = -93 - -144. Let a = v + -43. Calculate the smallest common multiple of a and 82.
328
Let d = 45 - 41. Calculate the common denominator of -55/18 and 52/(-3) - 2/d.
18
Let w = -24826 - -1191565/48. What is the common denominator of -87/16 and w?
48
Let n = -6/1607 + -130143/6428. Find the common denominator of n and -55/36.
36
Suppose -4*g + 70 = g. Calculate the least common multiple of 394 and g.
2758
Suppose 4*b = 378 - 98. Calculate the common denominator of 39/16 and (-1070)/(-308) + 40/b.
176
Suppose -5*f - 3*g = g + 2, f - 4 = -3*g. Let j(w) = -2341*w + 1. Let c be j(f). Let v = 18635/4 - c. What is the common denominator of -75/4 and v?
4
Let h(v) = 31*v - 1. Let p be h(1). Suppose -5*y + p = -3*n - 4, -3*n = -4*y + 29. Suppose -11*x = -19*x + 40. What is the smallest common multiple of y and x?
5
Let t = 49 + -47. Suppose c - 1 - 2 = t*n, -5*c = -2*n - 15. Let b(l) = -l**3 - 5*l**2 + 3. Calculate the least common multiple of c and b(-5).
3
Suppose -1 = -g, 4*g = 4*d + 2*g - 14. Let x = 8/1401 + -138779/14010. Calculate the common denominator of x and (d/52 - 0)*25.
130
Let i = -3289 + 9775/3. Let f = -611/21 - i. Calculate the common denominator of ((-106)/10)/(8/10) and f.
28
Let j = 65/27 - 2972/999. What is the common denominator of j and -53/2?
74
Let z(x) be the first derivative of -4*x**3/3 + 25*x**2/2 - 5*x - 29. Suppose 4*w - w - 30 = 0. What is the least common multiple of w and z(5)?
20
Suppose -3*s + 2*l = -52, -5*s + 5*l + 62 = -28. Let o = -186 - -202. Suppose 0 = -8*z + o. Calculate the least common multiple of z and s.
16
What is the smallest common multiple of 40 and (-930)/(-35) + -11 + (-3)/(-7)?
80
Let q = 2911/14 + -208. Calculate the common denominator of -37/8 and q.
56
Find the common denominator of -119/48 and 191/18 - 4/9.
48
Let g(x) = -58*x - 1. Let w be g(2). Let k be (w/2)/(3/4). Let o = 309/4 + k. What is the common denominator of 5/14 and o?
28
Let z(f) = -2 - 8*f + 5 - 11 - f**2. Calculate the lowest common multiple of ((-2)/4)/(1/(-22)) and z(-3).
77
Let y(g) = -3*g**2 - 2*g + 11. Let v be y(-5). Let t = v - -22. Calculate the common denominator of 41/(-12) + 8/t and 19/11.
33
Let y = -37 + 17. What is the common denominator of 5/(-15)*(-114)/y and (48/154)/(4/(-42))?
110
Let x(n) = 13*n - 225. What is the smallest common multiple of x(19) and 16?
176
Let c be ((-32)/3)/((-2)/(-33)). Let t = 3799/490 + 36/245. Find the common denominator of t and 3/2 + 957/c.
80
Let d be (315/(-48))/((-39)/(-8436810)). Let x = -1419631 - d. Let j = 3/104 - x. Find the common denominator of j and -39/10.
10
Let f(l) = -l + 7*l + 2*l**2 - 1 - 1. Let n be f(-4). Find the common denominator of 7/10 and (n/27)/((-8)/(-606)).
30
Let g(h) = 4*h**2 - 6*h. Let n be g(6). Find the common denominator of (4/n)/((-4)/894) and ((-459)/540)/((-1)/6).
90
What is the common denominator of 2/8 - (-1521)/(-252) and -91/10?
70
Suppose -38 = -10*v + 32. Suppose 0 = 2*g - v*g + 40. Calculate the smallest common multiple of 9 and g.
72
Suppose -6 = 5*h + 9, -4*l + 3*h + 21 = 0. Suppose -2*u - l*u = 590. Find the common denominator of 85/6 and -4*(u/48 - -1).
6
Let a = -1370 + 932. Suppose -g + 4*i = -20, 2*g + 55 = 3*g + 3*i. What is the common denominator of -9/5 and 9/12 + a/g?
5
Calculate the smallest common multiple of (14 - 5)*(-3 - -9) and 12.
108
What is the common denominator of 235/2256*261/(-110) and -1/32?
352
Suppose 0 = -4*g - r + 17, -29*g + 34*g - r - 10 = 0. What is the lowest common multiple of 49 and g?
147
Let n = 42340/17 - 2489. Find the common denominator of 21/86 and n.
1462
Let j(w) = 7*w. Let i(l) = -l + 22. Let y be i(0). Let a = y + -13. Calculate the least common multiple of a and j(1).
63
What is the lowest common multiple of 29 and 4/(-24) - 340/(-24)?
406
Suppose -u - 19 = -24. Suppose 0*s + 2*s + 14 = 4*n, 3*n - u*s - 14 = 0. What is the common denominator of 58*(n - (-214)/(-72)) and -101/2?
18
Let w = -3 + 14. Suppose 3*b = 70 + w. Find the common denominator of -19/10 and (-126)/b*(-21)/20.
10
Let f(x) = 20*x**2 + 13*x - 12. Calculate the smallest common multiple of f(1) and 42.
42
Let z be (-2494)/(-6) + (-7)/(-21). Let t be (z/16)/(-1 - 1). Let d = -6 - t. What is the lowest common multiple of 1 and d?
7
Let y = -39/35 - -26/7. What is the common denominator of y and -11/315?
315
Let m = 2662676847016/105 + -25359889037. Let n = -1061911 - m. Let r = n - 8/35. Find the common denominator of 85/6 and r.
6
Let y(v) = v**2 - 11*v - 105. Calculate the least common multiple of y(20) and 40.
600
Let l = -103/166607 + 87618737/781720044. Let d = 11/138 + l. Calculate the common denominator of d and -41/22.
748
Let j = 261 - 162. Calculate the lowest common multiple of j and 3.
99
Find the common denominator of 51/274 and (5/(-60))/(3/(-333)).
548
Let a(d) = 245*d**2 - d + 2. Let o be a(1). Calculate the common denominator of o/144*(-6)/(-3) and -61/18.
36
Let d be 8699/2751 + 8/12. Let c = -15/131 + d. Find the common denominator of ((-2)/9)/((-3)/(-171)) and c.
21
Let k be ((-298)/(-44))/(-1 - (-3 + 3)). Let u = k + 14/11. Find the common denominator of (-6 - -5)*(-298)/(-12) and u.
6
Let x = -255 + 398. What is the least common multiple of 44 and x?
572
Suppose -3*p + 4*m - 3*m = -96, 3*m - 128 = -4*p. Let u = 2339 + -44487/19. Calculate the common denominator of p and u.
19
Let i(a) = a**3 - 2*a**2 - 23*a + 14. Suppose 4*y - 6 = 18. Calculate the lowest common multiple of y and i(6).
60
Let m = -92 + 82. Calculate the common denominator of -20/9 and (40/275)/(1/m).
99
Suppose n - 20 = -o + 27, -6 = 3*o. Calculate the smallest common multiple of n and 77.
539
Let k = 52 + -86. What is the lowest common multiple of 9 and k/(-2) - (2/(-2) - -3)?
45
What is the smallest common multiple of 130/4 - (-2)/(-4) and (-12)/8*(-4)/3?
32
Let r = -38 - -36. What is the common denominator of 1 and 4 + 291/96*r?
16
Let h be (84/(-112))/(0 + 1/(-28)). What is the least common multiple of 5 and (48/h)/(6/21)?
40
Let a be (-247)/38 - (-1)/2. Find the common denominator of 3/8 and 1/a*(-511)/7.
24
Suppose 81 = 2*z + 2*z + x, -4*z + 4*x + 96 = 0. Calculate the common denominator of z/35 - (