 -6 + 260/45 + (-22)/(-18). Find the common denominator of -58/9 and a/20*-61 + (-9 - -7).
180
Let h(g) be the second derivative of -g**5/20 + g**4/3 - 2*g**3/3 - g**2 + g. Let t be h(3). Find the common denominator of (((-15)/6)/t)/((-33)/63) and 95/14.
154
Let u be 3 - 30/6 - -13. Let w(m) = m**2 - 99. Suppose j - 9 = c, 0*j - 2*j - 5*c + 39 = 0. Calculate the lowest common multiple of j and w(u).
132
What is the common denominator of (-27)/(-6) + -4 + (-147)/(-12) and -73/90?
180
Let g be (6/7)/((-138)/(-14) - 10). What is the common denominator of -61/2 and 5 - (g - 111/(-24))?
8
Let r be 4/(-14) - (-116)/14. Calculate the lowest common multiple of 342 and 22/r*((-4 - -12) + -4).
3762
Let p = 234 - 260. What is the common denominator of (-21)/(-16) + 13/(p/8) and ((-406)/192 + 2)*3?
32
Let j(o) = -50*o**3 - 4*o**2 - 9*o + 13. What is the smallest common multiple of 50 and j(-4)?
31850
What is the common denominator of -143/384 and 63441/200640 + 4/(-10)?
4224
Let f = 872/11 + -4359/55. Find the common denominator of f and 61/580.
6380
Suppose 8*v - 23*v + 30 = 0. Suppose 5*k + 787 = 4*x, -v*k - 988 = -4*x - x. Calculate the least common multiple of x and 24.
792
Let w be (-249)/(-27) + 2/(-9). What is the lowest common multiple of 30 and w/(((-51)/10)/(-17))?
30
Let g = -283453079/132 - -2147490. Let y = 8670848/76549 - -6/6959. Let x = g - y. Find the common denominator of -16/5 and x.
60
Suppose 6*x + 45 = 57. Suppose -5*l - 3*i + 75 = 0, -4*i = -x*l - 7*i + 39. Calculate the lowest common multiple of l and 57.
228
Suppose 824 = 4*z + 736. Suppose -15 = -c + 39. What is the least common multiple of z and c?
594
Suppose 5*i - 531 = -11. Suppose 36 = 3*a + 2*t, -a + 28 = -825*t + 827*t. What is the least common multiple of i and a?
104
Let z = 3286 - 2294. Suppose -8*i - z = -39*i. Let c = -3 - -19. What is the smallest common multiple of c and i?
32
Let v = -153005689/67643660 + -23660/16661. Let y = 13/406 + v. Find the common denominator of (6 - 200/30)*(-306)/(-40) and y.
20
Let w = 4865 + -4357. What is the smallest common multiple of w and 1143?
4572
Let n(p) = -7*p - 8. Let y be n(-2). What is the smallest common multiple of y + 408/(-64) + 246/16 and 30?
30
Let k = -45050411177/880376 - -113120/15721. Let v = -51166 - k. What is the common denominator of 83/18 and v?
504
Let f = -2732 + 2942. What is the lowest common multiple of f and 70?
210
Let s = 6388 + -6381. What is the least common multiple of s and 20518?
143626
Suppose 0 = -81*v + 11476 + 54134. What is the lowest common multiple of v and 4?
1620
Let m(z) = -z**3 + 3*z**2 + 9*z + 9. Let j be m(5). Suppose 0 = -4*t + 27*v - 29*v + 354, t = j*v + 102. What is the least common multiple of 70 and t?
630
Let o = 6842459/378 - 18102. Find the common denominator of 73/270 and o.
1890
Let y(q) = -5*q**3 + 14*q**2 + 26*q - 12. Calculate the least common multiple of 4104 and y(-2).
16416
Let y(r) = 18*r**2 + 141*r + 9. Calculate the smallest common multiple of y(-11) and 108.
5724
Calculate the common denominator of -29*(-62)/899*(34437/17280 + -2) and 1/5.
2880
Let s be (-478)/6 - (-5)/(-15). What is the common denominator of (68/30 + -2)*(-510)/s and -49/50?
50
Let a be (-21783)/141843 - (-16)/104. Let h = -454619/21822 - a. Calculate the common denominator of h and 52/31.
186
Let z = -1247 - -4933/4. Find the common denominator of z and (217/9)/(-7) - (-54)/9.
36
Let p(c) = 10*c**3 + 7*c**2 + 3*c - 7. Suppose -d + 2*m = d + 12, 5*m = d + 10. Let l be p(d). Let s = l - -7642/7. Find the common denominator of s and 39/32.
224
Let q(j) = -198*j**2 - 26*j - 29. Let a be q(-10). Let s = a + 352133/18. Calculate the common denominator of s and 139/60.
180
Let b be (-1 + (-48912)/(-9))*(-30)/(-80). Let f = 2034 - b. What is the common denominator of f and ((-3)/162)/((-14)/2667)?
72
Let v = 532 - 512. Suppose 0 = 4*r, -2*o = -3*o + 4*r + 22. What is the lowest common multiple of o and v?
220
What is the least common multiple of (-332)/(-14) + 24/2184*26 and 90?
360
Suppose 292*j - 5*o = 296*j - 51, -3*j + 4*o + 46 = 0. Let q(x) be the first derivative of -x**2/2 + 1. Calculate the smallest common multiple of q(-2) and j.
14
Suppose 44 = 5*d - 5*c - 16, -4*d - 5*c + 48 = 0. Suppose -4*f + 84 = 10*f. What is the smallest common multiple of f and 28/5 + d/30?
6
Suppose 3*l - 11 = r, 3*r + 2*r = 5. Find the common denominator of 22/(-8)*(-125)/60 - l and -95/6.
48
Let h = -4683 - -4728. Calculate the least common multiple of h and 95.
855
Let a(b) = b**2 - 5*b + 10. Let x be a(4). Let p be (-4)/x + (1 - (-160)/(-3)). Let g = -32 - p. Calculate the lowest common multiple of 18 and g.
126
Let x be (-3010)/(-50) + 0*(2 + -1). Let r be -4 + 3/(-60)*1009. Let z = x + r. What is the common denominator of z and 3/26?
52
Let l = 36735 - 5546986/151. Calculate the common denominator of 22/19 and l.
2869
Let u = -724 - -727. Suppose 0*b - 3*b = u, -q + 171 = -5*b. Calculate the least common multiple of 3 and q.
498
Suppose 3*f + 2*f - 10 = 0. Let t(a) = -a**2 + 17*a - 16. What is the lowest common multiple of t(15) and f/3*(-10 - -13)?
14
Let f = 15979/44 - 363. Find the common denominator of f and -167/588.
6468
Let n be 1102/(-470) - 10/25. Let y = -18489561/6573232 - 1136/8741. Let b = y + n. Calculate the common denominator of b and 19/28.
112
Let u be (30 - 1)*(-3 + 15)/(-3). Let f = u - -191. Let y = -57 + f. Calculate the lowest common multiple of y and 4.
36
Suppose -74 = -3*n + 43. Let c = 30 - n. Find the common denominator of (-2)/c + (-200)/36 and 3/10.
30
Let z(x) = 3*x - 10. Let q = 0 - -4. Suppose 1575 = 73*y + 553. What is the least common multiple of z(q) and y?
14
Suppose -5*r = -3*r - z - 1287, 0 = -5*z - 15. Calculate the lowest common multiple of 20 and 6/(-48) - r/(-16).
40
Let v be (-25)/10 - (-3)/(-2). What is the common denominator of 161/(-30) + 5 + v/6 and 59/12?
60
Let s(c) = -c**2 + 8*c - 10. Let l be s(10). Calculate the common denominator of (-178)/(-24) + (-2)/3 and (-217)/l + (-5)/15.
20
Suppose 4*v - 5*p + 856 = 0, -v - 5*p - 677 = 2*v. Let i = -3875 - -19346/5. Calculate the common denominator of v/(-86)*11/(-33) and i.
430
What is the common denominator of -55/152 and (-2400)/(-12160)*8/122?
9272
Let x = 3288 + -3270. Calculate the lowest common multiple of 1416 and x.
4248
Let r = -1021 - -2117/2. Let m = -92 - -129. Let u = m - r. What is the common denominator of u and -23/26?
26
Let i be ((-1724)/100*14)/(24/2570). Let k = -25840 - i. What is the common denominator of 85/21 and k?
210
Let j(q) = 9*q + 11*q + 2 - 21*q. Suppose -49 - 191 = -4*t. Calculate the least common multiple of t and j(-2).
60
Let d = 104 + -52. Let x(a) = a**2 + 10*a - 30. Let v be x(-10). Let r = d + v. What is the smallest common multiple of r and 8?
88
Calculate the common denominator of 119/30 and 6/16 + (-197714)/471280.
4110
Let u = -57 + 167. Suppose -39*r + u = -34*r. Calculate the smallest common multiple of (-366)/(-4) - ((-42)/(-7))/(-12) and r.
1012
Let t = -904 + 906. Let c = -2 + 4. Suppose 4*l + c*g = 10, 3*l - 3*g + 12 = t*g. What is the lowest common multiple of l and 1?
1
Let n = 66563/2565 - 7252/285. Let l = 49202/19 - 2589. Let r = n - l. Find the common denominator of r and 32/21.
189
Let k = 25021 + -225253/9. Find the common denominator of (-8)/60*2*-55 and k.
9
Let t(x) = -x**3 - 8*x**2 + 6. Let c be t(-8). Let n = 17/98 + -5737/588. Find the common denominator of n and (-308)/(-504) - c/(-4).
36
Let n = 315 + -316. Calculate the lowest common multiple of 51 and n*2 - 564/(-94).
204
Let k be (-2 - (2 - 3))*(-28)/7. Suppose -2*f - k*s = -3*f - 10, -f + 3*s = 7. Calculate the lowest common multiple of 22 and f.
22
Suppose -52 = -4*t + 36. What is the lowest common multiple of (-2)/(-13) + (96072000/1560)/100 and t?
616
Calculate the lowest common multiple of (6 + 2 + -1)/((-3)/((-66)/1)) and 280.
3080
Suppose 5*v = -3*c + 387, -3*v + 2*c + 182 = -54. What is the lowest common multiple of v and 210?
2730
Let s(v) = 149*v**2 - 3*v + 2. Let d be s(1). Suppose -5*m - d - 2 = 0. What is the common denominator of 16/9 and (-8)/(-40)*(m - 2)?
45
Suppose -2*k + 3*k + d = 6, 3*k - 30 = d. Suppose 14*a - 414 = -k*a. Calculate the smallest common multiple of a and 9.
18
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