 is the common denominator of 3*(46/(-3) - d) and 159/20*(-4)/(-6)?
10
Suppose 0 = -11*n + 201 - 69. Let y(h) = -h**2 + 17*h + 10. What is the least common multiple of n and y(14)?
156
Suppose 86*f - 87*f + 23 = 5*u, 5*u - 5 = 0. What is the lowest common multiple of f and 2?
18
Let a = 219959 - 12536849/57. Let g = a - 8732/513. Find the common denominator of -61/3 and g.
27
Let d = -686197 + 5534815/8. Let t = d - 5646. What is the common denominator of -89/16 and t?
16
Let f be 84/(-10)*(14 + -4). Let a be f/(-8)*(-4)/69. Let k = a - -101/506. Find the common denominator of k and 1/4.
44
Let c be (-8 - -9) + 39*2. Suppose 0 = 4*k + 5*p - c, 4*k - 2*k + 2*p - 42 = 0. Calculate the least common multiple of k and 6.
78
Suppose 4*k + 2*s - 8 = 0, 4*k - 14 = -2*s - 3*s. Suppose 0 = m + k - 11. Calculate the least common multiple of m and (108/51 - 2) + (-1414)/(-119).
60
Suppose u = 3*a - 24, 4*a - 4*u + 8 = 5*a. What is the smallest common multiple of a and (-48)/(-5) + 48/120?
40
Let l(t) = -t**2 + 15*t. Let u be l(6). Suppose -u = -4*q - 34. Calculate the least common multiple of q and 45.
45
Suppose 9 = g + 5*z - 3, 0 = 5*g + 5*z - 40. What is the least common multiple of 63 and g?
63
Let g = 51 + -23. Suppose -5*w = -g - 122. Calculate the lowest common multiple of 13 and 10/(-25)*w/(-2).
78
Let x = -47035/310023 - -10/1813. Find the common denominator of 7/95 and x.
855
Find the common denominator of (6/(14490/(-545)))/((-6)/(-7)) and -131/230.
2070
Let r be ((-17623)/(-24) - 3)*-3. Let j = r - -2199. Calculate the common denominator of j and 16/168*93/2.
56
Let t = -120031/14 + 8570. Calculate the common denominator of t and 127/(-20) + 2 + 1.
140
Calculate the common denominator of -53/12 and (123/24)/(40/48).
60
Let c = -13127/126 + 739/7. Let u = -8905 - -30045465/3374. Let d = u + 71720/15183. Calculate the common denominator of c and d.
18
Let q = -21475/266 - -1500/19. Find the common denominator of q and 139/522.
3654
Find the common denominator of -1/12 and 3399/22*3/(-486).
108
Suppose 0 = -128*x + 124*x + 132. What is the least common multiple of 60 and x?
660
Calculate the common denominator of -149/84 and (-7093)/(-7266) + (0 - -1)*-1.
84
Let p = 96/5 + 13/10. Let f = 0 + p. Let m = 14586 + -670885/46. Find the common denominator of m and f.
46
Suppose 3*q = 3*w - 127 + 220, 118 = 4*q + 2*w. Suppose 0 = -k + 1 + 20. What is the least common multiple of k and q?
210
Let s = 23 + -11. Let w = 27 - 19. What is the least common multiple of w and s?
24
Suppose 0 = 20*w - 16*w - 176. Find the common denominator of (-2)/7 + (-830)/(-308) and (1 - (-24)/(-20))*(-290)/w.
22
Let m be (-620)/15 - (-2)/6*1. Let n = m + 62. Calculate the smallest common multiple of 27 and n.
189
Let u = 6834/5 - 1360. Let w be 2826/72*(-8)/66. Let c = -325/33 - w. Find the common denominator of c and u.
55
Let j = -2 - -4. Calculate the common denominator of (j - -1)*26/20 and (713/(-920))/(-3 - 13/(-5)).
80
Find the common denominator of (-64 - -64) + (-226)/48 and 41/30.
120
Let c = -273 - -315. What is the common denominator of c and 27/(-5) - 2/(-2)?
5
Suppose -c - 3*c + 12 = 0, -c = 5*f - 123. Let h = f - 12. Let x = 21 + -13. Calculate the lowest common multiple of x and h.
24
Let d(u) = 3*u**2 - 2*u - 2. Let i be d(2). Calculate the smallest common multiple of 70/21*(-18)/(-15) and (i/2)/(6/4).
4
Let f = 395/18 + -1208/45. Calculate the common denominator of f and (1/2)/(15/(-216)).
10
Let j = 2 + 8. Suppose -2*d = j, 3*q - 2*d - 2*d - 53 = 0. What is the lowest common multiple of 5 and q?
55
Let j = 247 + -227. What is the smallest common multiple of 138/4 - 1/2 and j?
340
Let t = -3236691 + 32301613/10. Let o = t - -6520. What is the common denominator of o and 83/8?
40
Let u be (-69)/9 - (-8)/(-24). Calculate the common denominator of (-46)/(-33)*12/u and ((-2)/2)/(9/(-19)).
99
Suppose 0 = f + 2*f - 3*i - 57, 0 = 5*f - 2*i - 80. Find the common denominator of 3/5 + (-3318)/180 and ((-8)/f)/((-5)/(-10)).
42
Let r(c) = -c**2 + 39*c. Calculate the smallest common multiple of r(8) and 24.
744
Suppose 0 = 2*c + 3*p + 60, -2*c - 5*p = -21 + 89. Let u = -2932/7 + 46415/112. Calculate the common denominator of ((-548)/60)/(-2 - c/10) and u.
48
Let k be (6/28)/(4/(-1256)). Let d = -61 - k. Let i = -5017/750 - 4/375. Calculate the common denominator of i and d.
70
Let j = -10759 - -354968/33. Calculate the common denominator of (1/(-12))/(-1 + (-1)/2) and j.
198
Let j = 44 + -30. Let k be 23/2 - (-4)/8. Suppose 4*x + 5 = 5*m + k, -m + 5 = 0. Calculate the lowest common multiple of j and x.
56
Let p = 1362 + -1113. What is the lowest common multiple of 15 and p?
1245
Let o(j) = -j**3 - 12*j**2 - 11*j + 4. Calculate the least common multiple of 264 and o(-11).
264
Let p(b) = b**3 + 10*b**2 - 19*b + 9. Let l be p(-12). Calculate the common denominator of -13/3 and (l/(-8))/(51/170).
12
Suppose -3*g + 92 = -11*l + 6*l, 40 = g - 4*l. What is the lowest common multiple of g and 3?
24
Let z(i) = i**3 + 2*i**2 - i + 4. Let o be z(-5). Find the common denominator of ((-6)/(-216))/((15/o)/5) and 70/27.
54
Calculate the common denominator of 41/78 and -14 - -20 - 187/14.
546
Let d = 1527 - 817. Calculate the common denominator of -4/33 and (d/(-198))/5*3.
33
Suppose m + 5*o - 13126 = 0, 0 = 5*m + 4*o + 15902 - 81448. Let b = m - 9176. Let d = -31393/8 + b. Find the common denominator of d and 121/12.
24
Let a = -29687/1770 - 18/295. Find the common denominator of a and 113/30.
30
Let d = 25373/1720 + -3/1720. Calculate the common denominator of -16*2/(-22)*-1 and d.
44
Let l = 3037/12 - 832/3. Calculate the common denominator of -2/5 and l.
20
Let y = 16684/13 + -14118/11. Find the common denominator of y and -31/104.
1144
Let w = -16701 - -400739/24. Calculate the common denominator of -85/18 and w.
72
Suppose 5*i + 83 = l, 3*l + 99 = -2*i + 297. Let y(n) = -n**2 + 3*n. Let q be y(6). Find the common denominator of -3/4 and (-4 - l/q) + 1.
36
Let f = 5669/612 + 49/153. Find the common denominator of 81/16 - 1/1 and f.
48
Suppose -14 + 80 = -n. Let s = 124 + n. What is the least common multiple of 18 and s?
522
Let t be (-28)/(-1) + -3 + 5. Suppose 5*x - 40 = t. Let k(p) = p - 4. What is the smallest common multiple of k(6) and x?
14
Let o be (6/(-1))/(7/(-6580)). Let k be (38/171)/(2/o). Let r = k + -637. Find the common denominator of r and -64/9.
9
Let a be (1/1)/(2*(-5)/(-20)). What is the least common multiple of 15 + (-4 - (1 - a)) and 3?
12
Let t(k) = k**3 + 7*k**2 + 10. Let o be t(-7). Let q be (-4 + -6)*(-4)/o. Suppose -3*n + q*n = 3. Calculate the smallest common multiple of n and 4.
12
What is the common denominator of (-97)/52 - (-165)/110 and -33/32?
416
Let x = 256 + -78. Suppose 22 - x = -3*a. Calculate the least common multiple of a and 8.
104
Let i(w) = -11*w - 14. Let g be i(-2). Calculate the common denominator of (-52)/11*2/g + -2 and -7/9.
99
Find the common denominator of 49/4 and (12/1233)/((-1)/(-21)).
548
Suppose -53 = -2*a + 511. Calculate the smallest common multiple of a and 18.
846
Let k = 802 + -1645/2. Calculate the common denominator of k and ((-4)/232)/((-1)/(-40)).
58
Suppose -2*w + s + 144 = 3*w, -136 = -5*w - s. What is the smallest common multiple of 16 and 8/3*(-2 - w/(-8))?
16
Let l = -1756 - -6923/4. Let i = 199/5 - 3847/90. Find the common denominator of i and l.
36
Let c be (-1 - 31/(-28))/((-146)/11045). Let g = c + -10/511. Calculate the common denominator of 37/12 and g.
24
Let a = -79 - -81. Calculate the common denominator of 0 + 515/(-60) - (a + -2) and -139/6.
12
Let p = -24 - -161. Let q = -91106 - -909723/10. Let h = p + q. What is the common denominator of h and 53/14?
70
Suppose -3*c = 2*l + 13, -4*l - 5*c = 44 - 17. Let x(y) = y + 10. Let m be x(l). Calculate the smallest common multiple of (1 + m)/(12/8) and 4.
4
Let r = -15768 + 1892251/120. Calculate the common denominator of -55/96 and r.
480
Let c = 999 - 608. Let l be 43/(-6)*(-872)/16. Let j = l - c. What is the common denominator of 29/2 and j?
12
What is the common denominator of 109/6 and (3 - (-16400)/(-5472))/((-4)/(-534))?
228
Let p(r) = r**3 + 5*r**2 - 8*r. Let c = 330 - 232. Let w = c + -60. What is the smallest common multiple of p(-6) and w?
