Let j = -280/39 - -24/13. Calculate the common denominator of j and y.
12
Suppose -3*x + 0*k = -5*k - 36, -12 = -x + 4*k. What is the lowest common multiple of x and 36?
36
Calculate the common denominator of 15496/5148 + ((-12)/2)/2 and -31/27.
297
Suppose -87 = -3*u - 2*u - 3*f, -2*f = -2*u + 22. Let h = -50 + 56. Calculate the least common multiple of 288/u + 8/10 and h.
60
Suppose 6*a - 13 = -73. What is the common denominator of -47/6 and ((-306)/15 - -4)/(8/a)?
6
Suppose -4 = 3*s + 5. Let p be (2 - 1 - 1)/s. Suppose p*v + 3*v - 18 = 0. Calculate the lowest common multiple of v and 12.
12
Calculate the common denominator of -6 + 1 + 17740/(-81920)*-24 and 27/56.
3584
Let b = 9/555073 - 48698219824/19427555. Let k = b + 2505. Let f = k + 1899/280. Find the common denominator of f and -137/18.
72
Suppose 61 = 5*v + 4*l - 180, 5*v + 3*l - 237 = 0. Let f be (3 + (-4)/4)*-2. What is the smallest common multiple of 22 and v + f - (-2 + 3)?
440
Calculate the common denominator of 5 + ((-157)/(-4))/(351/(-52)) and -13/42.
378
Suppose 11 - 46 = -3*r - p, 34 = 4*r - 5*p. Suppose 2*y = -10, -2*y = -3*o - 0*y + 106. What is the lowest common multiple of (-1*2)/(o/(-112)) and r?
77
Let a = 645202 - 289129. Let l = a - 2838363/8. Let y = 1284 - l. Find the common denominator of y and 62/5.
40
Let x(b) = b + 159. Let f be x(0). Let y = f - 2061/13. Calculate the common denominator of y and -17/9.
117
What is the common denominator of -35/36 and 8/(-68) - 5823/(-2244)?
396
Suppose 32*z + 1134 - 5230 = 0. What is the lowest common multiple of 16 and z?
128
Let s(x) = x**3 - 8*x**2 + 5*x + 4. Let u be s(8). Suppose -49*q = -51*q + u. Calculate the lowest common multiple of 20 and q.
220
Let d = 36 - 31. Calculate the least common multiple of d and 7.
35
Let b be (-3)/((-4)/12 - 0). Let n be (-1)/(2 - b/5). What is the smallest common multiple of n/25 - (-31)/5 and 2?
6
Suppose -h - 10 = -3*r, -4*h + h + 22 = 4*r. Suppose -60 = -9*p + r*p. What is the lowest common multiple of 4 and p?
12
Suppose 0 = 4*d - f - 89, -2*d + 3*f + 41 = -6. Suppose l + 0*l = 0. What is the lowest common multiple of (-11 - (-3 - l))/(-1) and d?
88
Let g = -48406 - -3630364/75. Let q = 1658/225 + g. What is the common denominator of -48/11 and q?
99
Suppose i + 0 + 2 = 0. Let d(w) = -w**3 - 2*w**2 - 3*w. What is the lowest common multiple of (24/7)/((-6)/(-21)) and d(i)?
12
Let u(r) = 2*r. Let c be u(0). Suppose -2*b + b = -4*g + 1, c = -2*g. What is the common denominator of (-3)/b + (-15)/(-40) and -89/10?
40
Let y(n) = n**2 + 1. Suppose 2*f - 30 = 4*p - 10, 4*f - 10 = -2*p. What is the smallest common multiple of y(p) and 16?
80
Let s = 21 + -10. Let r = 376 + -373. Calculate the lowest common multiple of s and r.
33
What is the common denominator of -1 + 4 - 1140/924*2 and 3/8?
616
Let t(w) = -941*w**3 - w**2 + 9*w + 7. Let i be t(-3). Let b = i + -609203/24. Calculate the common denominator of b and 81/10.
120
Let w = 2898 - 2818. What is the smallest common multiple of 40 and w?
80
Find the common denominator of -25/36 and 2 + 0 - (-5 + (-1197)/(-324)).
36
Suppose j + 0 = 3. Suppose -2*m = -1 + j. Find the common denominator of m - ((-14)/32 + 1) and -33/2.
16
Let l = -6/61 - 867/488. What is the common denominator of l and 39/11?
88
Let a = -18 - -40. Let m = -126 + 188. Calculate the least common multiple of a and m.
682
Let t = 653/11 + -702/11. What is the common denominator of (-12)/(-16) + (-3)/1 and t?
44
What is the common denominator of (-7 - 514/(-98))/((-9)/21) and -115/48?
336
Let x = 17834 + -1747811/98. Calculate the common denominator of x and 77/12.
588
Let u(k) = k**2 + 40. What is the lowest common multiple of u(-14) and 118?
236
Suppose -2*u + 3*m - 3709 = 2*u, -m = 2*u + 1847. Let o = u + 15701/17. Find the common denominator of o and (2 - 2) + (-166)/20.
170
Let t = -28 - -53. Calculate the smallest common multiple of 6 and 70/(-4)*(-20)/t.
42
Let c(l) = -6*l**2 - 96*l + 41. What is the lowest common multiple of 220 and c(-13)?
1100
Let w = 245/2 + -125. Let a = 28/101 - -11111/1818. Calculate the common denominator of w and a.
18
Suppose 19*q = 15*q + 288. What is the least common multiple of q and 45?
360
Let u(g) = 1. Let l(k) = 7*k + 15. Let s(c) = -l(c) + 2*u(c). Calculate the least common multiple of s(-5) and 62.
682
Let s = -277/12 - -57/2. What is the common denominator of -71/162 and s?
324
Suppose 825 = 2*i + 329. Let k be ((-2188)/168)/(i/300). Let d = k + 1/217. Find the common denominator of d and -97/10.
20
Suppose 3*k - 40 = -4*g, k + 7*g - 3*g - 24 = 0. Calculate the common denominator of 74/(-4)*(609/77 - k) and -87/2.
22
Let r = -1272283/111444 + -3/9287. Calculate the common denominator of (-35)/(-10) + 252/(-32) and r.
24
Let k = 28959/8 + -3625. Suppose 2*z = -3*z - 10. Calculate the common denominator of (-9)/15*9/z and k.
40
Suppose 0 = 3*a - 18 - 21. Suppose a - 77 = -16*o. Calculate the least common multiple of o and 22.
44
Let i(a) = -15*a + 9. Let r(p) = 14*p - 10. Let l(y) = 4*i(y) + 3*r(y). What is the common denominator of l(3) and 4/13?
13
Let h = 13785/407 - 14375011/4884. Let r = 2915 + h. Calculate the common denominator of 61/24 and r.
24
Let o = -1030/3 - -178. Let v = 5939/36 + o. Calculate the common denominator of v and 28/15.
180
Calculate the common denominator of (-10)/(-2) + -2 + (-298)/36 and -13/12.
36
Let z = 152 - 144. Suppose -k + 4*k = -3*d + 57, 3*d - 55 = -k. Let v = d - z. What is the smallest common multiple of 22 and v?
110
Let q = -820 + 59041/72. What is the common denominator of 11/2 and q?
72
Let v = 118/3793 - 6102566/109997. Let k = v + 23379/464. Let o = 337/40 - 39/8. What is the common denominator of o and k?
80
What is the common denominator of (-2)/(-6) + 11110/(-10560) and 67/6?
96
Let t = 2/6431 - 508073/77172. Calculate the common denominator of 178/(-66) - 2*-1 and t.
132
What is the common denominator of 3/(-14)*7/63*-339 and 115/84?
84
Let k be (-62)/(-3 - 14/(-6)). Let y = k + -83. What is the smallest common multiple of y and 5?
10
Suppose 0 = -c - 0*c + 1. Let o be 0 + c/(-4)*0. Suppose 6*m - 20 - 16 = o. Calculate the smallest common multiple of 20 and m.
60
Let z be (-76)/(-6) - (-4)/(-6). Let x be 14 - z - 84559/10. Let g = x - -8447. What is the common denominator of 121/6 and g?
30
Suppose 3*q - 6*j = -2*j - 560, -5*j + 10 = 0. Let t be -1 + ((-553)/q)/7. Let h = 260/23 - t. Calculate the common denominator of -23/16 and h.
16
Suppose -3*o + 0*o = -334402275885. Let a = o + -5104539274224177/45794. Let w = 2/22897 - a. Find the common denominator of w and 47/20.
140
Let g = -16 + 21. Suppose 2*m + 5*j - 18 + 48 = 0, 4*m = g*j. Calculate the least common multiple of (6/m)/((-12)/40) and 8.
8
Let s(d) = 317*d**3 - 6*d**2 - 2*d + 5. Let c be s(-4). Let b be (c/52)/(10/362). Let x = 14177 + b. Find the common denominator of x and -69/20.
20
Let s be 20/(-8)*(-8)/10. Suppose 0 = s*b - 56 + 8. Suppose -4*p - 4*j = -b, -5*p + 2 = -2*p - j. What is the smallest common multiple of p and 11?
22
Suppose 0 = -38*k + 297 + 7. Calculate the smallest common multiple of k and 244.
488
Let n = 6 + 68. Let x = n + -52. Let z = 14 + x. What is the least common multiple of 6 and z?
36
Suppose 0 = -210*p + 188*p + 132. What is the smallest common multiple of 168 and p?
168
Let c = 6222/23 - 1482515/5474. Find the common denominator of c and 7/68.
476
What is the common denominator of (0 - (-5)/(-15)) + 90/(-4) and -13/209?
1254
Let o = -20 - -28. What is the smallest common multiple of -4 + 40/15*15/2 and o?
16
Let l(p) be the third derivative of p**5/60 - 11*p**4/12 + 4*p**3 + p**2. What is the smallest common multiple of l(22) and 12?
24
Suppose 2*w = 4*x + 44, -3*x + 41 + 56 = 5*w. Suppose -2*d + 4*d = 32. Calculate the least common multiple of d and w.
80
Suppose -2*m = 6, 5*u + 4*m - 21 = 42. What is the common denominator of 17/4 and (25/u - 0)*(-153)/534?
356
Let y = 226/5 + -9367/210. Find the common denominator of -111/28 and y.
84
Suppose 0 = -s + 2 - 0. Suppose 2 = -s*q, -2*t + 5*q = -4*t + 7. Calculate the least common multiple of 2 and t.
6
Let p = 128 - 211. Let z = -156 - p. What is the common denominator of (-4)/(-20) - z/60 and -65/4?
12
Let v = 1 + -44. Let y = v - -7. Calc