 11 = 2*a + 1, -f - 10 = -2*a. Let u = -15 + 29. Suppose 0 = 2*g - 3*k - 2*k - u, -3*k = a*g - 35. What is the lowest common multiple of g and 2?
14
Suppose 360 = -35*r + 39*r. Let c be (63/(-35))/((-3)/r). Find the common denominator of (14/c)/((-2)/(-21)) and 8/21.
126
Suppose i = -46 - 11. Let w = 69 + i. Calculate the smallest common multiple of (-2)/w - 629/(-102) and 12.
12
Calculate the lowest common multiple of 4/(-18) - (-6952)/(-792) - -1533 and 8.
3048
Let r = -285 - -276. What is the least common multiple of 36 and (r/24*2)/((-6)/144)?
36
Let m = 1284 + -440. What is the smallest common multiple of m and 8?
1688
Calculate the common denominator of (-2733)/(-252) + -1 + (-3)/7 and 35/5064.
5064
Let a be 331/(-22)*(-51749)/(-4). Let z = a - -194668. Let b = 151/8 - z. What is the common denominator of b and 31/16?
176
Calculate the least common multiple of 11 - 2*(-36)/24 and 8004.
56028
Find the common denominator of -121/10 and (-1 - 15) + 11285280/705500.
4150
Let h = 25/212 - 513/530. Let i = -48793/842198 - 2/9793. What is the common denominator of h and i?
860
Let a be ((-52)/16)/(2/16). Let z = a - -30. Suppose -z*h + q = -35, 6*q + 15 = q. Calculate the smallest common multiple of h and 12.
24
Let y = 32 + -18. What is the smallest common multiple of y and 29/87 + 154/6?
182
Let f = -229 + 269. Let t(l) = l**2 + l - 10. Let n be t(-8). Suppose -n*z + 84 = -f*z. Calculate the smallest common multiple of 22 and z.
154
Let u = -636778669 + 3032976812938/4763. Let k = u - -6/433. Let i = -11199 - -11229. Find the common denominator of i and k.
11
Let z = -32 - -32. Suppose -4*d - a = -27, z = d + 2*a - 7 - 5. What is the smallest common multiple of 1 and ((-16)/(-6) + -2)/(2/d)?
2
Let m = 280153991/1804 + -155296. Let n = -8671/5412 - m. Let d = -407/2100 - -1/300. What is the common denominator of n and d?
231
Let f = -1740833/12 + 145068. Let w = -47955 + 31288. Let v = w - -500069/30. What is the common denominator of v and f?
60
Let p(f) = 3*f**2 - 14*f + 10494. Calculate the least common multiple of 15 and p(0).
52470
Let v = -22553/21918 + -8/843. Suppose 5*j + 62 = 77. Calculate the common denominator of v and 4 + j + 238/(-21).
78
Let n = -166 + 151. Let c = n - -23. What is the least common multiple of c and (-16)/6*-1*3?
8
Let f = 12 - 114. Calculate the common denominator of (-87915)/(-10450) + -9 - (-14)/133 and 0 + (f/(-40))/(-3).
220
Suppose -59 = -5*a + 1. Suppose g = -g + a. What is the smallest common multiple of g and 115?
690
Let y(d) = -13*d + 458. Calculate the smallest common multiple of y(34) and 12398.
99184
Let v = -510991/1050 - -10204/21. What is the common denominator of v and -77/900?
900
What is the common denominator of 137/70 and ((-901)/(-136))/(-53)*58/119?
2380
Suppose 15*f + 22 = 82. Suppose -2*q = -q - f*k - 2, -2*q + 25 = -k. What is the least common multiple of ((-110)/(-15))/((-1)/(-3)) and q?
154
Suppose 12*b - 352 = 128. Suppose -b = 9*k - 11*k. What is the least common multiple of 2 and k?
20
Suppose 4*f - 5*x = -33, 0 = 3*f - f - 5*x + 29. What is the common denominator of 1/f - 95/22 and 38 + (-2195)/50 + -3?
110
Let p(n) = -3*n**2 - 8*n - 12. Let z(f) = -4*f**2 - 9*f - 10. Let t(x) = -3*p(x) + 2*z(x). Let a = 91 + -63. Calculate the least common multiple of t(0) and a.
112
Let q = 406616/31 - 13116. Find the common denominator of -23/8 and q.
248
Suppose 0*j - j + 12 = -3*o, -2*o = 4*j - 6. Let b(s) be the second derivative of -s**3/6 + 12*s**2 + 14*s. What is the lowest common multiple of j and b(15)?
9
Suppose 8425 = -0*t + 5*t - 5*b, 3*t - 2*b = 5053. Find the common denominator of 89/4 and 1*4 - t/340.
20
Calculate the lowest common multiple of 2696/(-6)*-6*(-15)/(-30) and 14.
9436
Let w = -296549/96 + 3089. Let h = -467/96 + w. Let k = -4715/3 + 28169/18. What is the common denominator of k and h?
36
Suppose -y - 2*c - 16 = 0, -14*y = -18*y - 2*c - 40. Let j(h) = -177*h**3 - h + 1. Let d be j(1). What is the common denominator of y/4 - d/30 and -48?
10
Let w = 9152 + -238033/26. Let r = -45047/17521 - 1/2503. Find the common denominator of w and r.
182
Let b(z) = -62*z**2 - 16*z. Let g(v) = -21*v**2 - 5*v. Let u(t) = 2*b(t) - 7*g(t). Calculate the least common multiple of u(-1) and 20.
20
Suppose 61*p - 58080 = -35*p. Calculate the least common multiple of 1760 and p.
19360
Let u be 31/(-3) - 4/6. Let r = u + 20. Let d = 24745 + -24736. What is the smallest common multiple of d and r?
9
Calculate the common denominator of -22 + 6 + 224851/14014 and -45/182.
1274
Let t = 30075 - 20787. Let b = 287894/31 - t. Find the common denominator of -59/21 and b.
651
Calculate the common denominator of -53/14 and (-2*13/15)/(197872/(-2075)).
25032
Let z(t) = -t**3 - 14*t**2 + 12*t - 12. Let a(v) = 2*v**2 - 6*v - 8. Calculate the smallest common multiple of a(8) and z(-15).
792
Suppose 4*m + 3*o - 34 = 0, -4*o = 2*m + 6 - 28. Let g(j) = 25*j - 312. What is the lowest common multiple of g(15) and m?
63
Let v = 102 + -90. Suppose -f = -h + 31, -7*f = -3*h - 2*f + 87. Calculate the least common multiple of h and v.
204
Let a = 465379/134 + -3473. Let w = 1601/11658 + a. What is the common denominator of w and -52/51?
1479
Suppose 0 = 87*g - 19819 - 58133. What is the smallest common multiple of 96 and g?
2688
Suppose 0 = 29*s - 35*s + 144. Suppose 3*p - 19 + 7 = 0, -5*n + 2*p = -112. What is the smallest common multiple of 94/16 - (5 + (-123)/s) and n?
24
Let u(i) = i - 50. Let l be u(26). Calculate the least common multiple of (-2290)/(-13) + (l/39)/4 and 80.
880
Let f = -535869 - -61088465/114. Let g = f - -25/57. Find the common denominator of g and 3/(-3) - 59/(-10).
30
Let o = -71 - -78. Suppose 2*i = -0*i - v + 12, 0 = 3*i - 3*v. Suppose 14 = -i*k + 30. What is the smallest common multiple of k and o?
28
Let w = 160 + -106. Suppose 85*f + w = 86*f. Calculate the smallest common multiple of f and 30.
270
Let n = 43135673/304 + -141894. Find the common denominator of n and 45/19.
304
Let f = 215 + -352. Let h = 141 + f. Calculate the least common multiple of 170 and h.
340
Suppose 68*c - 65*c = 6. Let z be c/(7/(-2) - -4). What is the lowest common multiple of (15/(-6))/(z/(-32)) and 16?
80
Let d = -3499/422 - -79/633. Let m be ((-2)/(-90453))/(4/846958). Let l = -1/16446 - m. What is the common denominator of l and d?
66
Let c = -7064/7 + 423623/420. Calculate the common denominator of -97/20 and c.
60
Let b be 3129/42 + (-2)/4. Let w = 152 - b. What is the least common multiple of w and 14?
546
Let i = 1167 - 526. Let m = -16669/26 + i. Calculate the common denominator of m and ((-83)/5)/((-24)/20).
78
Let c = 13814/21 - 2207909/3360. Find the common denominator of c and -4/55.
1760
Let l be (82/(-138))/(1 + 1). Let p = l - 14/69. What is the common denominator of p and 125/6?
6
Suppose 0*x - 3*x + 18 = 0. Suppose p = 5, -4148*p - 505 = -4*u - 4153*p. What is the least common multiple of u and x?
120
Let m = -37 - -37. Suppose m = -0*k + k. Calculate the common denominator of 151/12 and k - 12/(-18)*(-146)/(-36).
108
Let q be (-36)/(-9) + -1 - -658. Let s = 670 - q. What is the least common multiple of 89 and s?
801
Find the common denominator of (-261)/(-6496) - (-12)/(-21) and 1/16.
32
Suppose -700071 = 122*j - 2011815. Calculate the smallest common multiple of j and 10.
53760
Let y = 628 + -433. Let r = -170 + y. What is the smallest common multiple of 50 and r?
50
Suppose 4 = t - 12. Suppose 2*j + t = 5*w, -4*w - 5*j = -38 + 12. Calculate the smallest common multiple of ((-3)/6)/((-1)/w*2) and 10.
10
Let n = -3/2242 + 49675/262314. Let u = -254159 - -7624739/30. Calculate the common denominator of u and n.
1170
Let q be (-4 - 96/(-21)) + (-297)/(-7). Let t = -39 + q. Suppose 0 = 5*j - 5*s - 20, s + t*s + 16 = 3*j. Calculate the least common multiple of j and 16.
16
Let y be 17/68*(3 - -17). Suppose -5 = y*u, -3*x + 63 + 7 = -4*u. Calculate the lowest common multiple of 1734 and x.
19074
Suppose -4*o = -16, 0*o + 4*o - 76 = -5*b. What is the lowest common multiple of b and 5/3 + -8 + 368/24?
36
Let u(n) = 76*n + 5693. Calculate the least common multiple of u(-68) and 225.
1575
Let n(c) = c**2 - 5*c. Let g be n(6). Suppose 8*s - g = 2*s. Find the common denominator of (s - 0)*(-1265