 Suppose -83 = x*y - 123. Suppose 2*b + 4 = 2*f - b, -4*b = -4*f + 16. What is the smallest common multiple of y and f?
40
Let c = -27164 - -1494076/55. Calculate the common denominator of c and -5/407.
2035
Find the common denominator of (-13 - (-1221)/24)*(1/(-54) + 0) and 47/11.
1584
Let z = 33 - 503/15. Let o be (-3)/(-4)*8/216*8958. Let a = o + -251. Calculate the common denominator of z and a.
30
Let f = 18487 - 295763/16. What is the common denominator of 97/4076 and f?
16304
Let w be (0 - 1) + 2 + (-529)/538. Let i = -24425/3228 - w. Let b = 13/28 - -23/7. Calculate the common denominator of b and i.
12
What is the smallest common multiple of (-4*1 + 1)*(-15096)/306 and 592?
592
Let b be (-2 - -1)/(36/(-72)). Suppose t + 98 = b*q, -5*q + 6*q - 2*t = 52. Calculate the lowest common multiple of 4 and q.
48
Let y(k) = 53 + 131*k - 60*k - 70*k. Calculate the smallest common multiple of 24 and y(-20).
264
Let w be ((-3)/(-2))/((-57)/(-9766)). Suppose 0 = -4*n + 545 - w. Calculate the lowest common multiple of n and 16.
144
Suppose 2*y - 4 = 2*d - 2*y, -2*d + 2*y = 4. What is the common denominator of -1 + (-525)/(-112) + -1 + d and 17/2?
16
Let m = 4760215/7176 - 8622/13. Find the common denominator of 1/2070 and m.
8280
Let j = -42629/462 + 1021/11. Find the common denominator of -62/27 and j.
378
Suppose 4*l - 5*s = -3*s + 36, -2*s = -5*l + 45. What is the least common multiple of 16 and l/((-270)/1520)*(-30)/8?
1520
Let k be 74/5*(2 + 3). Let j = 141 - k. Let m = -45 + j. Calculate the smallest common multiple of 12 and m.
132
What is the common denominator of 20/70 + (-50)/63 and (-49)/588 + (-1)/((-540)/(-95))?
189
Let p = 35278763/103343530 - -2/356357. Calculate the common denominator of p and -17/1334.
6670
Let k = 70006/63 - 3335/3. Find the common denominator of (3 + 339/12)/(9/(-6)) and k.
126
Let s be 18/4*(-1)/((-6)/8). Suppose 2 - s = -c. Suppose -5*z + 2*t + 148 = 0, -5*z + 0*t + 154 = c*t. Calculate the lowest common multiple of z and 27.
270
Let b = -101 + 101. Calculate the common denominator of 4/8 + b + 99/(-141) and 38/9.
846
Let o be 30/70 - 20105/35. Let l = o + 654. What is the lowest common multiple of 22 and l?
880
Suppose -58*j = -53*j + 900. What is the common denominator of 4/(-1) - 879/j and -29/48?
240
Suppose -7*c = -14 - 28. Suppose 0 = c*a - 79 - 41. What is the least common multiple of a and 36?
180
Calculate the smallest common multiple of 10 - (1 + (0 - 0)) and 842.
7578
Let w = 492806/5 - 2369410913/24040. Find the common denominator of -93/2404 and w.
4808
What is the common denominator of 0 + -34 + (-1650375)/(-50530) and (-1*1)/((-10)/113)?
310
Suppose 0 = 9*l - r - 1826, 27*l - 28*l = -5*r - 198. Calculate the least common multiple of 56 and l.
1624
Suppose 51 = 3*m - c, 3*c + c = -m + 4. Suppose f + 4 = 5*i - 0, -5*i - m = 4*f. Suppose i = -3*s - 1 + 13. Calculate the least common multiple of s and 3.
12
Let h = -1241 - -731. Let d = h + 606. What is the least common multiple of d and 128?
384
Suppose -9509 = 3*u - 9536. Calculate the lowest common multiple of 27 and u.
27
Suppose k = 3*q + 59, 4*k - 227 = 216*q - 213*q. Calculate the lowest common multiple of 240 and k.
1680
Find the common denominator of (1220/(-308))/(-5) - (-4)/(-22) and 34/63.
693
Let f be 16899*16/(-24)*17. Let z = 62053261/324 + f. Calculate the common denominator of 109/6 and z.
324
Let g(f) = 5*f**2 - 13*f - 184. What is the smallest common multiple of 520 and g(17)?
1040
Let b be 1/(-3 + 4)*5. Suppose 53*u + 21 = 60*u. Suppose -2*q + n = -2 - 49, b*n - 109 = -u*q. Calculate the lowest common multiple of q and 12.
84
Let s(p) = p**2 + 2*p - 326. Let b be s(-19). Let y be -2*(-74)/24*-1. Let o = y + b. Find the common denominator of o and -143/36.
36
Suppose -2 = n + 2*u, -2*n - 2*n - u - 8 = 0. What is the common denominator of -77/4 and (-336)/960*(-79)/(-7)*n?
20
Suppose 383*g = 384*g - 1. Calculate the smallest common multiple of g and 413.
413
Suppose -4*y + 2*q + 0 - 4 = 0, 4*y = -3*q - 14. Calculate the common denominator of (-9 + (-234)/(-27))/(y/(-33)) and ((-104)/(-30))/((-36)/(-10)).
54
Let m = 14338 + -13620. What is the least common multiple of 16 and m?
5744
Calculate the smallest common multiple of 20 and -18*(1308/(-15) - (-34)/(-255)).
7860
Suppose 4*d + d = -5. Calculate the common denominator of -2 + 29*d/(-6) and (-59)/8 - ((-4 - -3 - -4) + 1).
24
Let j(n) = 3*n**2 + 49*n + 47. Let b be j(-20). Suppose -30*q - 27 = -b. What is the smallest common multiple of q and 6?
24
Suppose -m - 4*m = -100. Let z(f) = 4*f - 17*f + 17*f**2 + 14*f. What is the smallest common multiple of z(-1) and m?
80
Let q(v) = -v**3 + 7*v**2 - 13*v - 3. Let k be q(4). Calculate the common denominator of 1009*k/(-840) + -8 and 41/200.
600
Calculate the common denominator of (86009/3960 - 13) + -9 and 51/16.
720
Suppose 247*a = 293*a - 322. What is the least common multiple of 854 and a?
854
What is the least common multiple of 358 and (-21)/(-9) + -2 + 600280/258?
4654
Let s be 1*-4*(-116)/(-8). Let m = -61 - s. What is the common denominator of (-315)/12*m/9 and 57/22?
44
Calculate the common denominator of ((-2)/4)/((-3)/93) and 56540/(-172520) - -2*((-188)/38 + 5).
454
Let s = 374633/44 + -8515. Find the common denominator of (27090/(-276))/15 - -6 and s.
1012
Let s be (-3)/6 - ((-13560)/16 + 7). Suppose -u - s = -22*u. What is the lowest common multiple of 30 and u?
120
Let z = -22572 - -1263959/56. Let m = -166157 - -12794076/77. Calculate the common denominator of m and z.
616
Let d = -269737 + 269790. Calculate the least common multiple of (1 + -2)/((-2)/6) and d.
159
Let p = -32442/11 + 778675/264. What is the common denominator of 161/660 and p?
1320
Find the common denominator of 264/(-32)*(66/90)/(2/4) and -81/190.
190
Let a = -16 + -674. What is the least common multiple of 24 and a/(-483)*(-84)/(-2)?
120
Let d = -316695 + 19954754/63. Let z = 83281/28 - 11695/4. Let c = d - z. Find the common denominator of c and -7/6.
18
Suppose 3*x = -5*a + 193, a - 36 = -31. Calculate the lowest common multiple of 644 and x.
1288
Suppose 607*n = 737*n - 38740. Calculate the lowest common multiple of n and 36.
5364
Let f be 27787/(-23667) - 8/24. Let s = f - -10/343. Find the common denominator of (-4 - -3) + 267/30 + -2 and s.
230
Let t(b) = b**3 - 8*b**2 + 10*b - 33. Let z be t(-23). Let n = 433127/26 + z. Let c = 28168 - 507151/18. Find the common denominator of n and c.
234
Let u be (3/(-12)*-2)/(1/(-142)). Let d = 90 + u. Suppose 2*c = -2*q + 10, 8 = -c + q + d. Calculate the least common multiple of 14 and c.
56
Let i = 2618359/1695690 + 6/18841. Let x = 25403/1530 - i. Let u = 2127/34 - x. Calculate the common denominator of u and 57/16.
16
Let d = -807 + 646. Let z = -135 - d. What is the smallest common multiple of z and 130?
130
Let b = 8923/2 + -267713/60. What is the common denominator of b and 1/(-18)*(-6672)/(-32)?
60
Let i = -178747839/460 - -388584. Let v = i - -24/115. What is the common denominator of v and 31/15?
60
Let m = -1740149/225 - -7734. Calculate the common denominator of -13/6 and m.
450
Let n be 2/(-8) + (-348)/(-48). Suppose n*s - 2*s = 225. Calculate the least common multiple of 12 and s.
180
Let a be (2 - -40)/(-24 + 26). Calculate the smallest common multiple of 10 and (8/(-12) - 28/a) + 17.
30
Suppose 11*y - 3*y - 320 = 0. Let m = -525 - -535. Calculate the smallest common multiple of y and m.
40
Find the common denominator of ((-19)/2280)/((-4)/65) and 143/252.
2016
Let a = 14054 + -2276711/162. Find the common denominator of a and 7/186.
5022
Find the common denominator of -59/10 and (-13 + (-459)/9)*(229/115 - 2).
230
Let m(j) = j**2 + 24*j + 138. Suppose -15 = 3*k, -2*s - 37 = -0*s + k. What is the smallest common multiple of m(s) and (26 - 0/2) + 2?
140
Let n(l) = -4*l**2 + l + 3. Let w be n(3). Let f(o) = 16*o - 53. Calculate the least common multiple of (-43)/(-5) - 12/w and f(4).
99
Suppose 2*w - 3*w = 5. Let y = w - 20. Calculate the common denominator of 21/(-6)*5/y and 107/20.
20
Suppose 2*s = 6*s - 11 - 5. Suppose -4*x + v - 69 = 0, -3*x - 2*x - v = 75. Find the common denominator of 13/31 and (-26)/5*s/x*9.
310
Let k(r) be the third derivative of r**4/12 + 2*r**3/3 + 5*r**2. Let c b