22
Let f(j) = 11*j + 11. Let m be f(-10). Calculate the common denominator of -43/9 and (18/m)/((-28)/40).
693
Let z(q) = -63*q - 1484. Calculate the lowest common multiple of 112 and z(-28).
560
Let w = -24 - -28. Suppose -a - 4*a = -2*i - 13, a - 5 = -2*i. Suppose -6 = 5*p - i, -w*p = k. What is the least common multiple of k and 1?
4
Suppose -34 = 4*x - 262. Let v be (-13 + 7)/(-3)*(-154)/(-4). Let g = v - x. Calculate the smallest common multiple of 18 and g.
180
Let p = -3 - -1/5. Find the common denominator of 13/65 + 43/(-35) and p.
35
Let v = 12/6319 + 226680/423373. Let a = -275/9 - -98/9. Calculate the common denominator of a and v.
201
Let h(j) = j**3 - 2*j**2 + 36. Let p be h(0). What is the smallest common multiple of 130 and -8 + 115*p/30?
130
Calculate the least common multiple of (-4688)/(-24) - ((-30)/(-9) - 2) and 74.
7178
Suppose 9*x + 2 = 4*x + k, -4*x + 5*k - 10 = 0. Suppose x = -15*w + 9*w + 12. Calculate the common denominator of -117/56 and 5/(0 + 25)*29/w.
280
Let j(g) = g**3 - 8*g**2 + 9*g - 4. Suppose -28*t = -38*t + 90. Let l = 17 - t. What is the lowest common multiple of j(7) and l?
40
Suppose 2450 = 39*u + 1748. What is the lowest common multiple of u and 186?
558
Calculate the common denominator of -2*(-561)/(-648) - 8/(-12) and -25/312.
2808
Suppose 0 = -i - i - 4*w + 8, 8 = 2*i - 3*w. Suppose -4*m = i*m - 360. Calculate the least common multiple of 30 and m.
90
Suppose -143 = -10*v + 77. Let y = 24 - 13. Let f = v + y. What is the smallest common multiple of f and 21?
231
Suppose 8*r = 5*r + 27. Suppose -3*y + 4*x = 2*x - 16, 4*x + 8 = 0. What is the lowest common multiple of 8 + 4 + -2*y and r?
36
Let a = -421 - -873. Suppose -455*m + 9 = -a*m. Calculate the smallest common multiple of 9 and m.
9
Let r be (4/8 - 1)*10*56. What is the common denominator of 101/12 and (-1802)/672 - (-6 + r/(-49))?
48
What is the common denominator of 7/10 and -2 - (-3864)/(-1925) - -9 - (-1 + 6)?
550
Suppose 306*j - 612503 = 349867. What is the least common multiple of 1110 and j?
18870
Suppose 33*t - 276 - 21 = 0. Let a = 17 + -6. Calculate the lowest common multiple of a and t.
99
Suppose -9148 = -114*p + 428. Calculate the least common multiple of p and 136.
2856
Let x(y) = -2*y**2 - y - 2. Let k be x(-1). Let l be -2 - k - (-66513)/4770. Let s = -656/53 + l. Find the common denominator of s and -133/30.
30
Let q = 778 + -1777. Let k be (-942)/q - 1 - 0. Let i = 2/37 - k. Find the common denominator of i and -75/8.
72
Calculate the common denominator of 2*((-5800)/784 + 8) and -31/84.
588
Let c = 3445/14 + -245. Let w be (-16)/(-12) - (-1690972)/(-192). Let i = 8811 + w. Calculate the common denominator of c and i.
112
Suppose 31 = 5*q + 31. Suppose 6*s - 9*s = 4*j - 1239, -j + 5*s + 281 = q. What is the least common multiple of 30 and j?
1530
Let k = -18366 + 18807. What is the smallest common multiple of 2842 and k?
25578
Let a be (-449)/2*(0 + 2). Suppose 35*w + 648 = 33*w. Calculate the common denominator of (a/(-14) - 1)/(w/(-126)) and 19/10.
60
What is the common denominator of (-162)/18 - (-5)/(225/237) and -33/40?
120
Let z be 32624536/26 + 4/26. Let m be (-6)/(-90)*z/12. Let g = 6977 - m. What is the common denominator of 59/20 and g?
180
Suppose -2*w - 1 = t, 0 = 6*w - 2*w - 2*t - 18. Suppose 0 = -66*r + 193*r + 287 - 2065. Calculate the smallest common multiple of w and r.
14
Suppose l - 107 = -3*a, 0 = l - 5*a - 0*a - 99. Suppose 24 - l = 8*v. Find the common denominator of 8/3 and (-238)/(-132) - ((-35)/v + -4).
33
Let l = -3492883 + 28159622793/8062. What is the common denominator of l and 31/2?
8062
Let x = -362935/4134 - -1142/13. Calculate the common denominator of x and 62/1113.
2226
Let n = -1478/33 - -49009/1122. Find the common denominator of n and -62/1815.
61710
Let p be (6/(-15))/((-281)/70 - -4). Suppose 219 + 5 = p*r. What is the least common multiple of 110 and r?
440
Let i be (-15217)/(-1683) - (-3)/(-3). Let y be -1 + (261/(-748))/((-69)/184). Let v = y - i. Calculate the common denominator of 29 and v.
9
Let k(z) = -z + 10*z**2 - 18 - 8*z**2 - z**2. Let a be k(-4). Suppose a*x = -4*v + 3*v, -1 = -v - x. Calculate the least common multiple of v and 2.
2
Suppose -4*o - 2*j = -8830, 3*j = 8*o - 7343 - 10324. Calculate the smallest common multiple of 36 and o.
6624
Let u = -2/2988475 + -54987454/726199425. What is the common denominator of u and -76/9?
1215
Let n = 219 + -219. Suppose n = -123*v + 121*v + 92. Calculate the lowest common multiple of v and 92.
92
Let h(v) = v**3 - 5*v**2 + 11*v - 43. Suppose -w = 2*b - 5*b + 18, -4*w = 3*b - 3. Calculate the least common multiple of h(b) and 8.
24
Let d be (3 - (-115)/(-10))*-6. Suppose -5*p + 121 = d. Let z = 27 - p. What is the common denominator of z and -56/11?
11
Let y = 68 + -48. Let g(q) = 7*q + 115. Let z be g(-12). Suppose -5 = 5*u - 5*w - 20, 2*u = -3*w + z. Calculate the lowest common multiple of y and u.
40
Let y(b) = -6*b + 209. Let f be y(23). Let z = 140 + -91. Let k = f - z. What is the lowest common multiple of 66 and k?
66
Let x be 9*6/36*(2 + 0). Let r be (-6)/9*(x + -4)*-3. Find the common denominator of r/20*(-555)/(-14) and -61/8.
56
Let h(s) = s**2 - 11*s + 9. Let j be h(10). What is the smallest common multiple of 3 - (-3 + 0/j) and 1/(-3)*((-8 - -3) + -25)?
30
Let p = -57728788/5 + 67427189369/5840. Let g = p + -39/584. Let f = 36589/12 + -3051. What is the common denominator of f and g?
48
Let v be 26/(-22) + (-9)/((-891)/18). Calculate the common denominator of -34/21 and 2 - 687/108 - v.
252
Suppose -2*z = -h - 684, 50*z - 52*z = -5*h - 684. What is the smallest common multiple of z and 342?
342
Find the common denominator of -19/78 and 12/(-186)*451/(-132)*-6.
2418
Let o be (-3 + 10/3)*(16 - -806). Calculate the common denominator of (o/16)/((-495)/220) and -113/260.
2340
Let a = -1246286/413 - -21128/7. Find the common denominator of a and -65/62.
3658
Let a = -2398249/30 - -79945. Find the common denominator of a and 37/48 - -2*1.
240
Let m = 241835073/740 + -326804. Find the common denominator of -47/20 and m.
740
Suppose -3*a = 4*a - 14. What is the common denominator of a/(-16) + (-878)/(-48) and 49/9?
18
Let y = 8437 + -7173. What is the lowest common multiple of 790 and y?
6320
Let p = -2/25631 - -1885207/181262432. What is the common denominator of 97/20 and p?
35360
Let v = -329/17 - -8237/459. What is the common denominator of v and -50/2169?
6507
Calculate the lowest common multiple of ((-882)/343)/(0 + (-12)/280) and 1770.
3540
Let r = -507 - -1532/3. Calculate the common denominator of r and (-385)/14*((-16)/90)/(-2).
9
Let b be (-94)/(-2) + 308/(-44). What is the common denominator of (b/180)/((-2)/(-12)) and -77/306?
306
Suppose c - 5*w = -9, -3 = -4*c + w - 1. Calculate the lowest common multiple of ((-368)/(-10))/(-57*22/(-1045)) - 1/(-3) and c.
31
Suppose 4*k = -3*i + 138, 0 = -i - 83 + 81. Suppose 20 + 15 = -d - 4*u, 4*u - 70 = 2*d. Let n = d + k. Calculate the lowest common multiple of 7 and n.
7
Let v = -5/10597 - -182579/5150142. Calculate the common denominator of 88/21 and v.
3402
Let z = 2512119/229 - 10970. Let q = 8039/5267 + z. What is the common denominator of q and 33/8?
184
Let o = 5738/7 + -813. Let g = -618347/966 - -14814/23. Calculate the common denominator of g and o.
42
Calculate the common denominator of -68/525 and -4 + (-10)/(-1) + (-61484)/9975.
525
Find the common denominator of (-28)/(-8)*8712/(-495880) and -11/3220.
3220
Suppose 882*n + 4 = 883*n. Find the common denominator of 79/10 and n/((-16)/(-7))*28/(-90).
90
Suppose -r + 4*r + 4*b = 170, -4*r + 2*b = -212. Calculate the lowest common multiple of (0 - (9 - 70)) + -1 + 0 and r.
540
Let s(g) = 2 - 49*g**2 + 10 - 14 + 5. Let r be s(4). Calculate the common denominator of -35/24 and (r/(-44))/(-5 - -1).
48
Let c = -4 + 5. Find the common denominator of (-1)/1 + c/6 and 20/115 - (-13288)/(-5520).
30
Let f = -1568311/50 - -31365. Find the common denominator of 59/560 and f.
2800
Let v = 394 + -286. Let c = 874 + -742. Calculate the least common multiple of c and v.
1188
Find the common denominator of 5295/13680 - (5/2 + 20/(-10)) and 113/36.
2736
Suppose -19 = -3*m - q - 4, -q + 25 = 5*m. What is the lowest common multiple o