 and 31/140.
1540
Let l(k) = 9*k - 2 + 10*k**3 - 16*k**3 - 4*k**3 - 2*k**2. Let b be l(2). Calculate the common denominator of (-4)/(-16) + 0 - (-382)/b and 103/18.
18
Let g = 59/1721 - -14709/2030780. What is the common denominator of g and -79/28?
8260
Let i(x) = -25*x - 17. Let f be i(-1). Calculate the least common multiple of 30 and (1 + -4)*1 + (f - 1).
60
Suppose -44*y + 6 = -41*y. Suppose 10 = -f - y*o + 7*o, -4*f + 10 = 5*o. What is the least common multiple of 11 and 1 - -9 - (-1 - (-1 - f))?
110
Let y(g) = -5*g**2 - 3*g - 3. Let s be y(-2). Let a be (((-436)/9)/((-8)/12))/((-6)/9). Let k = s - a. What is the lowest common multiple of k and 22?
1012
Let l(j) = j**3 + 2*j**2 + j - 2. Let z be l(1). Suppose -120 = -z*x - 4*x. What is the lowest common multiple of (27 + -30)*(-3 + 1/1) and x?
60
Let n = -159 - -162. Suppose -2*s + 1 = 8*l - 9*l, 1 = -4*s + n*l. What is the lowest common multiple of 7 and s?
14
What is the lowest common multiple of ((-7)/(133/(-1425)))/((-6)/(-2)) and (2*3)/(2/15)?
225
Suppose 0 = 181*c - 53*c - 75*c - 82680. What is the smallest common multiple of c and 4485?
35880
Let b be (-9)/(-24 + 20 + (-38)/(-10)). What is the common denominator of (0 + 147/b)/(30/150) and 85/12?
12
Let j be 2 + -2 + -8 + 0. Let d(r) = -r + 2. Let k = -16677 + 16688. What is the least common multiple of k and d(j)?
110
Suppose 5*t = r - 6*r - 245, 275 = -5*r + t. What is the lowest common multiple of 56 and r/(-36) + (-1)/(2/(-93))?
336
Let t(a) = -2*a. Let u(b) = b + 32. Let h(o) = 3*t(o) - 3*u(o). Let s = 10 + 2. What is the smallest common multiple of h(-13) and s?
84
Suppose 92*i + 364 = 470 + 906. Calculate the lowest common multiple of i and 2289.
25179
Let h = -23727 - -166128/7. Find the common denominator of -54/847 and h.
847
Let c be 28719254/(-53916) - (-4 + 11/3). Let h = 1/26958 - c. Let k = h - 137243/258. Calculate the common denominator of k and -119/10.
430
Let y be (-1686)/(-21) + 6/(-21). Suppose 5 = -79*q + y*q. Suppose w = -q*j + 13 + 55, -4*j + 48 = 4*w. What is the least common multiple of j and 150?
1050
Calculate the common denominator of -16 + 52304/2048 + -9 and -53/52.
1664
Let c = -122 + 111. Let f = c + 83. What is the lowest common multiple of f and 28?
504
What is the common denominator of (-185*42/11445)/18 and 8/3?
981
Suppose -5*j - 340 - 525 = 0. Let n be j/(-2)*58/(-8). Let h = n - -7475/12. Calculate the common denominator of h and -25/9.
72
Let s = 11576722503/44 - 263074957. Let p = 32371 - s. Find the common denominator of p and 35/6.
132
Let t be -1 - ((1 - 6) + -1 - 0). Suppose -7*v + m + 289 = -3*v, -3*m = -t*v + 363. What is the least common multiple of v and 27?
216
Let k = 391899/55 + -7126. What is the common denominator of 85/2508 and k?
12540
Let u = 14/5925 + -15491/237000. What is the common denominator of 121/580 and u?
29000
Let d = 1561/2 - 5419/7. Let o be (-120535)/(-30) + (-3 - 0). Let x = -4031 + o. Calculate the common denominator of d and x.
42
What is the smallest common multiple of (93150/375)/(3 + (-171)/60) and 4?
1656
Suppose 0 = 15*t + 6*t - 3675. Suppose -t = 27*c - 32*c. Calculate the smallest common multiple of c and 130.
910
Let k = 2046 + -2036. Calculate the lowest common multiple of 45 - 3*(-1 - 0) and k.
240
Let x(d) = -4*d - 32. Suppose -3*s + 2*s = -5. Suppose -s*o - 81 = 4*o. Calculate the lowest common multiple of 2 and x(o).
4
Let u be (-112)/(-11) - (45/(-55) - -1). Let r be u/15 + 7/3. What is the common denominator of -109/14 and r + (-2 + 1 - 99/180)?
140
Let d(n) = 4*n**2 - 693*n + 2765. What is the smallest common multiple of 1368 and d(4)?
1368
Let w = 33 + -18. What is the lowest common multiple of 290 and w?
870
Suppose -j = 33*v - 29*v - 2767, -4*j = 4*v - 11104. What is the lowest common multiple of j and 28?
11116
Let z be (5 - 3)/(2/(-72)). Suppose 261 = 4*y - y. Let u = z + y. What is the least common multiple of u and 1?
15
Suppose 0*f - 6 = -4*m + 2*f, -3*m - f = -17. Let v = m + 5. Calculate the smallest common multiple of v and 21.
63
Let c be 6*(10/12 - 1/3). Let o(p) = p**2 - 2*p - 3. Let t be o(c). Suppose t*l - 80 = -4*l. Calculate the least common multiple of l and 10.
20
Suppose -n - 86 = m, -5*m - 78 + 236 = -2*n. What is the common denominator of -18/11 and (-1974)/n + 1/(-6)?
33
Let c(p) = p**2 + 13*p + 52. Let y be c(-5). Suppose 4*z = y*z - 32. Calculate the lowest common multiple of z and 26.
52
Let z be (391/(-115))/(2/(-10)) - -3. Suppose -11*r - 189 = -z*r. What is the least common multiple of 27 and r?
189
Let u be -2*(-13)/6 - (-8)/12. Suppose u*g = 66 + 14. What is the lowest common multiple of g and 16?
16
Suppose -11*b - 72 = -2*r - 15*b, 3*r + 4*b = 100. Calculate the least common multiple of r and 40.
280
Let h = 31216/27 + -1156. Let c be -6 - 181287/(-33) - 0. Let k = 5484 - c. Find the common denominator of k and h.
297
Suppose -r = -1 - 1. Suppose -r*p + 186 = -178. What is the common denominator of -117/98 and 4*(-3)/6 - p/(-44)?
1078
Let q = -15086 + 15107. What is the lowest common multiple of q and 7596?
53172
Let f = 1243 - 9931/8. Let y = -162421/36 - -4511. Find the common denominator of f and y.
72
Suppose 7 = c - 9. Let i = 13189 - 13111. Calculate the lowest common multiple of c and i.
624
Let l(c) be the second derivative of c**3/3 + 13*c**2/2 + 103*c. Calculate the smallest common multiple of 30 and l(25).
630
Let i = 5/1878 + -15493/19406. Find the common denominator of (2 + (-260)/(-12))/(-1) and i.
93
Let u = 14540 - 14522. Let p = 9 + -6. Calculate the smallest common multiple of u and p.
18
Calculate the lowest common multiple of 102 and (13 + -4 - -5) + 3 - (5 - 10).
1122
Find the common denominator of (-195500)/395200 + (-4)/(-38) and 57/32.
416
Calculate the common denominator of 97/14 and 2/33*1746/(-28)*(-29)/174.
154
Let m(n) = 15*n + 1452. Calculate the smallest common multiple of 153 and m(-90).
306
Suppose -9*o = -5*o + 3*v + 1671, -3*o + 3*v - 1269 = 0. Find the common denominator of -1/6 and (-6)/(-21) - 1798/o.
30
Let c = 86 - 84. What is the common denominator of -47/12 and (c - 55/84) + 29/(-116)?
84
Let a(m) be the first derivative of m**4/4 - 16*m**3/3 - 53*m**2 + 7*m + 212. What is the smallest common multiple of 52 and a(-5)?
156
Let p = 8/537 + -10259/3759. Let b = -6091/1790 + 1/358. Calculate the common denominator of p and b.
35
What is the common denominator of (-118)/15*(-102)/1088*2 and 37/1956?
19560
Suppose 0*l - l + 2 = r, -4*l - 7 = -r. What is the common denominator of (-11)/r*(-371)/1643 and 109/30?
930
Suppose -4*v - 17 = -w - 3, 0 = -4*w - 8. Let r be (v - 4407/(-880)) + -2 + 1. Let t = 4327/880 - r. Calculate the common denominator of -7/4 and t.
44
Let i be 36862692/(-4608) - (-3 + 0) - -1. Let l = -63963/8 - i. Calculate the common denominator of l and 65/4.
384
Let n be (0 - 318/(-30))/((-1)/(-5)). Let k = -59 + n. Calculate the common denominator of (45/k*158/20)/(-9) and 32/9.
36
Let t(u) = -8*u**2 - 13*u + 34. Let a be t(5). Let z = 2885/12 + a. Calculate the common denominator of 31/1708 and z.
5124
Find the common denominator of 723/3290 - 30/105 and ((-588)/(-350))/((-4)/15).
470
Let s be ((-20)/60)/(26/(-6894)). Let v = -30885/364 + s. Calculate the common denominator of v and (87/88)/(6/12).
308
Suppose -9 = -y - 4*z, -y + 5*z - 27 = -0*y. Let q be ((-60)/16 - -3) + y/(-4). Find the common denominator of q*4 + 84/32 + 4 and 55/12.
24
Let w be ((-38)/(-32))/((-7)/(-18606)). Let p = -3151 + w. Find the common denominator of p and -10/3.
24
Let j = -37016811/350 + 105762. Calculate the common denominator of -31/250 and j.
1750
Let p(q) = -q**2 + 11*q - 28. Let r be p(8). Calculate the common denominator of -77/6 and (-1)/r - (7385/(-308))/5.
66
Let o(s) = -s**3 + 8*s**2 - 4*s + 8. Suppose -12*g + 60 = -12. Let k be o(g). Let z = k - 48. Calculate the smallest common multiple of 29 and z.
232
Let a = 48 - 48. Suppose a = 4*o - z + 38, 4*o - 3*o + 19 = 5*z. Find the common denominator of (((-9)/20)/o)/(2/412) and 87/14.
70
Let h(q) = -302*q + 643. What is the smallest common multiple of h(2) and 1547?
4641
Let y = 6/32761 + 186012/57626599. What is the common denominator of 55/6 and y?
10554
Let h(d) = 2*d**3 - 3*d**2 - 6*d - 1. Let k be h(3). Cal