5/(-70) + 2/2 and r/(-18) - (-5 - -5).
42
Suppose 3*u - 15 = 15*y - 17*y, 0 = -2*y + u + 11. What is the smallest common multiple of y and 72?
72
Let i = -69010 - -3726665/54. Find the common denominator of -41/6 and i.
54
Suppose 0 = -22*j + 19*j - 465. Calculate the lowest common multiple of 10 and 62/(-93)*(-1 + j).
520
Suppose -4*k + 87 = 4*s - 5*s, k + 2*s = 15. Calculate the smallest common multiple of 114 and k.
798
Let g = 27 - 20. Suppose -6 = 5*p - g*p. Calculate the least common multiple of 14 and p.
42
Let h = 386 - 197. Let u = -173 + h. Suppose 2*i - 8 = -0*i. What is the lowest common multiple of u and i?
16
Calculate the common denominator of -89/242 and 534/(-330)*(-40)/48.
726
Let a(x) = -x**2 + 17*x + 20. Let w be (-3)/(33/18 + -2). What is the least common multiple of 9 and a(w)?
18
What is the common denominator of 151/12 and (106/(-40))/((-10 + 11)*-1)?
60
Suppose 2*l - 3*n + 4 = -n, 0 = l + 3*n - 14. Suppose 5*a - 18 + 123 = 0. Let b = -3 - a. What is the smallest common multiple of l and b?
18
Let t be 260/(-10)*(0 - 1). Let w be (-299)/t*(0 + 2). Let f = w + 26. What is the least common multiple of 6 and f?
6
Let f(i) = 29*i - 21. What is the lowest common multiple of f(4) and 10?
190
What is the lowest common multiple of 45 and 8/(-1 - -5) - -1?
45
Let f = -184256/65 - -238/13. Suppose -3007 = 3*x - 11485. Let h = x + f. Find the common denominator of 59/10 and h.
10
Let h = 2447/16 - 303/2. Let n(k) = -12*k - 2. Let c be n(-1). Calculate the common denominator of h and c + (32/12)/(-4).
48
Suppose 3*d + 2 = 5*r - 25, 17 = 3*r - d. Suppose -11*o = -r*o - 220. Calculate the lowest common multiple of 4 and o.
44
Let u = 30837778909/108 + -285521472. Let w = u + -13518. Find the common denominator of 65/4 and w.
108
Let t be (-2 - 0) + (3 - -4). Suppose 0*b - t*b = -20. Suppose -4*v + 36 = b. Calculate the lowest common multiple of 4 and v.
8
Suppose -y + 76 = -5*a, a + 5*y + 0 = -10. Let j = a - -18. Suppose 5*v - 117 = o, j*v - 87 = o - 18. What is the common denominator of -57/2 and v?
2
Let k be (1 + (-3)/2)*-2. Suppose 2*f = 8 - 16. Calculate the common denominator of (-362)/(-40) - k/f and 71/8.
40
Suppose 0 = -t + 3*t - 14. Calculate the lowest common multiple of (-11)/2*(5 + -7) and t.
77
Let z be 3/((18/(-225))/((-24)/10)). Suppose h - z = -4*h. What is the smallest common multiple of 24 and h?
72
Suppose -i - 11 + 233 = 0. Suppose -i - 318 = -6*z. Calculate the least common multiple of 16 and z.
720
Let z = 2137 + -940337/440. What is the common denominator of 137/440 and z?
440
What is the common denominator of -32/17 and ((28/24)/(-7))/((-13)/949)?
102
Suppose 5 = -r + 17. Calculate the least common multiple of 244 and r.
732
What is the least common multiple of 18 and 25/250 - 3019*2/(-20)?
2718
Suppose -5*d - 3*r = r, 5*d + 5 = -3*r. Let q = 4407/4 - 3320/3. Calculate the common denominator of q and 10 - 7 - (-77)/d.
12
Suppose -115 + 73 = -3*w. Suppose 0 = 4*u - 4*l - 164, 9*l = 4*u + 4*l - 161. Calculate the lowest common multiple of w and u.
308
Let n(u) = u + 4. Suppose -c = -p - 7, -2*p + p + 8 = 2*c. What is the lowest common multiple of n(p) and (-1)/5 + (-51)/(-5)?
10
Let h be 5 - 6 - (-18 - 1). Suppose 5*v - 5*p - 10 = 0, -3*p = -3*v + 6*v - h. Let s = 99 - 93. What is the least common multiple of v and s?
12
Calculate the smallest common multiple of (44/2 + -1)*2 and 3/(-7 - (-1287)/180).
420
Let z be (2/11860)/(1/4). Let c = -34991/5930 + z. What is the common denominator of c and (3/(-7)*(-1470)/(-60))/(-2)?
20
Let z(b) be the third derivative of -b**4/3 - 2*b**3/3 - b**2. Suppose 3*s = 3*g - 54, g - 4 + 2 = 5*s. Calculate the least common multiple of g and z(-3).
220
Let s(q) = -2*q - 12. Let i be s(-11). Calculate the lowest common multiple of 60/36*36/i and 11.
66
Find the common denominator of -143/12 and (-792)/320 + (7 - 4).
120
Let k = -65 + 135. Let w = k - 45. Let j = 535 + -4381/8. Find the common denominator of j and w.
8
Let t = 749991331/71820 + -1127465/108. Let g = -3/665 - t. What is the common denominator of g and -111/110?
330
Let c(v) = 0*v - 9 - 2*v + 3*v. Let s be c(6). What is the common denominator of 676/56 + s + -2 and -27/2?
14
Let i = 1591/1647 + 106/61. Let g = 1091/2 - 22843/42. What is the common denominator of g and i?
189
Suppose 3*h + 58 = 13. Let p = -10 - h. Suppose -w = p + 18. Find the common denominator of w and -44/9.
9
Let a = -39 + 41. Let z = -18655/9 - -2078. What is the common denominator of z and (a + -3)/(12/52)?
9
Let o be (-6 - -1) + (-361445)/(-72310). Let b = o + -8764/11363. What is the common denominator of b and -1/28?
308
Let g(o) = 12*o - 2*o**2 + 3*o**2 - 18*o. Let y be g(6). Suppose 3 + 8 = 2*d - t, -4*d - 5*t + 1 = y. What is the smallest common multiple of d and 10?
20
What is the common denominator of 22/(-80) - (-17 - -16) and 27/2?
40
Let w = 131628931295/42 - 3134250169. Let d = w - -227984. Let p = 25/21 - d. Find the common denominator of p and -73/6.
6
Let n(t) = t. Let m be n(2). Suppose 0 = m*b + b - 30. Find the common denominator of 149/24 and (b/105)/((-24)/(-1526)).
72
Let k = -41359574/1243 - -33274. Let b = 75663/24860 + k. Let f = -4042 + 48553/12. What is the common denominator of b and f?
60
Let w be (1/2*-1)/((-1)/(-2)). What is the common denominator of -97/2 and (w/(-3))/((-12)/302)?
18
Suppose -s - 4*s = -3*s. Let y = 34 + s. What is the least common multiple of (-4)/(-10) - 112/(-20) and y?
102
Suppose -j + 0*j + 6 = 0. Let r(d) = d - 1. Let c(k) = 2*k + 3. Let o(h) = c(h) - 5*r(h). What is the least common multiple of j and o(-1)?
66
Let b be ((-156070)/525)/(((-1140)/9)/5). Let a = b + 22/133. What is the common denominator of 49/4 and a?
20
Let b be (-26)/(-91) - (-358)/315. Let z = b - 47/9. Find the common denominator of -39/11 and z.
55
Suppose 5*k - 2*c = 260, 231 + 29 = 5*k + 2*c. Suppose g + k = 72. What is the smallest common multiple of 20 and g?
20
Let x = -9/133 - 13415/266. Calculate the common denominator of -43/462 and x.
462
Let m(i) = 2*i - i - 5 + 10 + 2*i. Let z be m(3). Calculate the lowest common multiple of 9 and 58/z - 7/49.
36
What is the common denominator of 46/49 and (-329)/49 - (-10 - -2)?
49
Suppose 6*w + j - 137 = w, 4*w - 116 = -4*j. Suppose -54 = -6*l - 2*s, 13*l = 17*l - s - 36. What is the lowest common multiple of w and l?
27
Let a = 17 + -11. Suppose a + 12 = 3*u. What is the smallest common multiple of u and 2?
6
Suppose -4*x + 182 - 166 = 0. What is the common denominator of (37 - x)/(1*-4) and 25/208?
208
Suppose -18 = -2*f - 2*r, -3 + 13 = 2*r. Suppose 0 = -5*i - x + 41, 4*i + 26 - 63 = -5*x. Calculate the least common multiple of i and f.
8
Calculate the least common multiple of 10 and 40/8*168/30.
140
Suppose -4*w = -58 + 10. What is the least common multiple of 3 and (3 - 21)*(-4)/w?
6
Let q = 22315/12 + -1859. Find the common denominator of 12/(-14)*18/(-4) and q.
84
Let l = -14051 - -224903/16. Let w be 20/(-70) + (-1881301)/(-154). Let c = -12218 + w. Calculate the common denominator of l and c.
176
Suppose -4*d + 3 = -37. Suppose 2*j + 10 = 0, -3*o - j - 16 = 34. Let m = o - -31. Calculate the least common multiple of m and d.
80
Suppose -3*v = -2*m + 12, m + 25 = 4*m - v. Suppose -9 = g - 4*l + 2, 0 = -3*g - 2*l + m. Calculate the common denominator of 83/22 and (((-29)/2)/g)/(-1).
22
Let l = -73685/194 + 380. Find the common denominator of l and -99/8.
776
Let g = 6/4361 + 187415/78498. Calculate the common denominator of g and 75/136.
1224
Suppose 10*y = -14*y + 5664. Calculate the least common multiple of y and 18.
2124
Suppose x + 100 = 2*x. Let y = -92 + x. Calculate the smallest common multiple of y and 18.
72
Let c = -625 + 3737/6. Let a = c + -13/3. Calculate the common denominator of a and 73/44.
44
Let u(j) = 26*j - 73. Calculate the lowest common multiple of u(3) and 25.
25
What is the common denominator of (14/12 - 1)*((-490)/(-5) - 3) and 2/(-5) + 1194/1760?
528
What is the least common multiple of 30 and (20/(-8))/(-5)*24?
60
Let r(k) = -44*k - 13 + 4*k**2 + 49 - 22. What is the lowest common multiple of 2 and r(11)?
14
Suppose 23*b - 27*b + 128 = 0. Calculate the common denominator of (10/24)/(b/144) and -31/204.
408
Let a = -6182595/196 - -31544.