12 and ((-13641992)/37506)/(-26) - 14.
10716
Let f = -8309/1418747 - -23/3333. Calculate the common denominator of 10/9 and f.
11493
Let z = 38 - 36. Let y = 1678/9 + -185. Find the common denominator of z/(-6) - 1/(-462)*-104 and y.
693
Let m = 6916/233 + -5242141/1864. Let v = 2793 + m. Find the common denominator of v and 87/10.
40
Calculate the common denominator of -103/2146 and (3/12)/((-1480)/18128) - -3.
10730
Let h = -1844 - -304259/165. Calculate the common denominator of (-12456)/(-4320)*(0 + 1) + -5 and h.
660
Suppose 0 = -79*q + 1427 + 943. Let d = -37 - -59. Let f = d - 13. What is the smallest common multiple of q and f?
90
Suppose r + 2*f - 18766 = 5*f, 2*r + f = 37518. Let s be -3 - (-1 - r/12). Let h = s + -1546. Calculate the common denominator of 47/4 and h.
12
Let h = -398 - -323. Find the common denominator of (245/h)/(6 + -4) and 97/60.
60
Let x = 340/299 - -14993/14950. Find the common denominator of 13/2440 and x.
12200
Calculate the lowest common multiple of 88 and (820 + 56/(-8) - -8) + (-16)/(-4).
6600
Calculate the smallest common multiple of (-12)/(-54) - ((-1652)/18 + -7) and 396.
396
Let u(w) = -7*w + 69. Let k(a) = -3*a - 67. Let x be k(-24). Let t be x - ((-12)/3 + 0). Calculate the least common multiple of u(t) and 20.
60
Suppose -4*j - 220 = 4*t, 4*j + t = -2*t - 217. What is the common denominator of j/72 + 6/24 and -71/4?
36
Calculate the smallest common multiple of (12/(-7))/(4/(-280)) and 30.
120
What is the lowest common multiple of (160/6)/((-5 + 6)*27/486) and 462?
36960
Find the common denominator of (-25)/(-5) + (-4)/(4992/5552) and -65/219.
5694
Let o = -55 + 28. Let w = 28 + o. Calculate the lowest common multiple of 2 and 1177/66 + w/(-2 + 8).
18
Let r be 3 - (-29368460)/1050 - 1. Let c = r + -27971. Calculate the common denominator of -121/168 and c.
840
Suppose 9*h = -4*t + 4*h + 329, 0 = 3*t + 3*h - 246. Suppose -1311*q = -1310*q - t. What is the smallest common multiple of 36 and q?
324
Let b = 2747 - 2665. Suppose 5*i - i - 92 = 0. Suppose -10 = -p + 2*c, -4*p - 5*c = -i - b. What is the smallest common multiple of p and 16?
80
Find the common denominator of -14*(-3)/225 - (-6 + 29/5) and 2/15.
75
Let i(d) = -2*d**3 - 51*d**2 + 67*d - 66. What is the lowest common multiple of i(-28) and 22?
21758
Let w = 108508 + -56315683/519. Find the common denominator of w and -13/692.
2076
Suppose -4*n = -9*n + 105. Let p(f) = 9*f + 4*f**3 + 9*f**2 - 3*f + 11 + 3*f - 3*f**3. What is the least common multiple of p(-8) and n?
21
Let c(b) = -b**2 - 73*b - 66. Let t be c(-34). Suppose -43*y + 57*y - t = 0. Calculate the lowest common multiple of 15 and y.
90
Let i = -3072 - 67959. Let g be -3*(-2)/15 + i/(-18150). Let a = -14/3025 - g. What is the common denominator of a and -71/16?
176
Let n = 12601/4 + -3150. What is the common denominator of n and -97/2152?
2152
Let s be 498/(-27)*(-7113)/(-20). Let q = -6558 - s. What is the common denominator of q and 97/60?
60
Suppose 3*f - 3*p = -4*p + 47, 101 = 5*f - 4*p. Suppose -15 - f = -4*d. What is the smallest common multiple of d and (-501)/(-9) + 6/(-9)?
440
Let c = -325099395316550788979/12019650 + 27047326279596. Let z = -1/80131 + c. What is the common denominator of z and -33/2?
150
Let h = -81973/6692 + -1/1673. Let s = -1587876/13 - -12157073/104. Let n = s - -5239. Find the common denominator of n and h.
8
Let m = 6711 - 6693. Let w(d) = -12*d + 10. What is the least common multiple of m and w(-7)?
846
Let v(f) = 2*f**3 + 5*f**2 - 3*f - 2. Let p(b) = -231*b**2 - 314*b - 17. Calculate the smallest common multiple of v(3) and p(-1).
264
Let v be (-25 - -5)*(-6)/8. Find the common denominator of 21/20 and (114/v)/(264/45) + -2.
220
Let c = 1 - 1. Suppose c = -3*h + 21 - 9. Suppose -29*t = 115 - 345 - 292. Calculate the lowest common multiple of h and t.
36
Let f be ((-8)/18)/((-42)/423). Let i be 19/(-38) + (-2218)/546 - -7. Let p = f - i. What is the common denominator of 93/2 and p?
26
Let i(v) = 50*v**2 + 183*v - 2. Calculate the lowest common multiple of 444 and i(-5).
1332
Suppose 104*s - 123*s + 171 = 0. What is the lowest common multiple of 57 and s?
171
Let k(x) = -18*x**2 - 5*x**2 + 10 - 64 + 36 + 106*x + x**3. Calculate the least common multiple of k(17) and 20.
100
Suppose -40*f - 1744 = -32*f. Let o = 226 + f. What is the lowest common multiple of 22 and o?
88
Suppose -3*x = 2*x - 220. Let v = x + -23. Let s = 33 - v. What is the lowest common multiple of 36 and s?
36
Suppose 10*k + 1941 = -2989. Let x = -484 - k. Calculate the least common multiple of x and 3.
9
Let b be (113595/(-360))/(4/(-6)). Let m = 475 - b. What is the common denominator of 29/14 and m?
112
Let z = -48 - -90. Let y = 44 - z. Suppose 4*a - 56 = 4*l, 6*l - y*l = -2*a + 10. What is the lowest common multiple of a and 43?
473
Suppose 2*t + 224 = -u - 4*u, u = -5*t - 31. Let x = -42304/3 + 14111. Calculate the common denominator of x and u/10 - (-2)/8.
60
Suppose -5*s - 17472 = -5*s - 3*s. Calculate the least common multiple of 8 and s.
5824
Calculate the common denominator of 64/2343 and (34/(-20))/(129/1075).
4686
Let t be 6 + 327924/(-52143) - 2/(-7). Let x = t - 250623/49660. Calculate the common denominator of -97/986 and x.
9860
Suppose -41*d + 108 = -4*h - 46*d, 2*d = 2*h + 72. Calculate the least common multiple of (-2185)/(-152) - 2/(h/(-6)) and 12.
84
Let r(v) = -14*v**2 + 100*v - 8. What is the smallest common multiple of r(7) and 174?
174
Let d = 338 - 313. Calculate the common denominator of ((-10)/d)/(2 - 868/430) and 123/80.
80
Suppose b - 4*n - 24 = 0, 2*n = -0*n - 8. Let s(i) = 7*i**2 + 1. Calculate the lowest common multiple of s(-1) and b.
8
Calculate the smallest common multiple of (2/(-5))/(3/(-720)) and 6/(14*28/588).
288
Calculate the lowest common multiple of ((-36)/14)/((-2508)/8778) and 182 - (0 - 1 - 1).
1656
Let t be ((-16)/(-12))/(-2)*-3. Suppose -m + t = 0, 4*x - 78 = -m - 4*m. Suppose x*u + 44 = 18*u. What is the smallest common multiple of u and 36?
396
Let x(m) = m**3 + 6*m**2 - 3*m - 9. Let g be (1 - 0)/((-10)/60). Let b be x(g). Calculate the smallest common multiple of (-32)/6*b/(-6) and 11.
88
Let o(y) = 233*y - 9. Let v be o(5). Let w be 13/(117/18) + 2/(-2). Find the common denominator of 67/4 and w + -5 + v/280.
140
Let f(m) = -13*m + 16*m + 39*m**2 - 40*m**2 + 6 + m**3. What is the lowest common multiple of f(0) and 224?
672
Let p(t) = t**3 + 12*t**2 + 9*t - 10. Let r be p(-11). Let j(g) = -g**2 + 12*g + 18. What is the least common multiple of 1 - -1*(5 - -4) and j(r)?
90
Suppose -5*h - 152*m = -155*m + 23, 5*m - 49 = 3*h. Calculate the lowest common multiple of (-2)/(-5) - 6099/(-15) and h.
814
Let h = -1585023/28 - -56604. Let u = 1751/5 + -24049/70. What is the common denominator of u and h?
28
Let t = -399 - -437. Suppose -1468 = -t*o + 1724. What is the smallest common multiple of o and 21?
84
Let d(i) = -11*i - 65. Let p be d(-19). What is the common denominator of p/(-55) - (-32 + 30) and 76/15?
165
Let o = 2101397/13596 + -5102/33. Find the common denominator of o and -23/44.
4532
Let n = -137507/168516 - -2/1359. What is the common denominator of n and 91/288?
8928
Let d be 5/(-6)*30423/10. Let f = d + 2512. Calculate the common denominator of f and 13761/5808 - (-2)/(-11).
16
Let t = 175 + -42. Find the common denominator of t/(-12)*(-30)/(-21) and (-5)/(-15) - (-31)/42.
42
Let u(w) = w**2 + 4*w - 9. Let j be u(-6). Suppose 98 = 10*f - j*f. Suppose r - 90 = -4*r. What is the least common multiple of f and r?
126
Suppose -4*s - 68*u + 69*u + 7533 = 0, 3*u + 27 = 0. What is the smallest common multiple of s and 418?
3762
Let a be (-8)/4 + 69/3 + -3. Let g be a/(-63) - (-51)/7. Suppose -3*p = -2*f + g + 14, -5*p = f + 9. What is the least common multiple of 10 and f?
30
Let h = -8/2181 - -7646/102507. Let n = 7526969/1913640 + 1/127576. Find the common denominator of h and n.
705
Suppose -18*j + 19*j - 4 = 0. What is the smallest common multiple of j/10 - 60784/(-290) and 30?
210
Suppose -9*n = 36 - 576. Let x(w) = -5*w - 25. What is the smallest common multiple of n and x(-8)?
60
Let c = -257242 - -257499272/1001. What is the common denominator of c and 46/77?
1001
Let k = -2971/78 - -521/13. What is the common denomina