+ (-991)/2112 and -129/110.
10560
Suppose 14*s = 16*s + t - 220, 5*s = 3*t + 572. What is the smallest common multiple of 80 and s?
560
Suppose -4*c - 17*z + 22*z = -31, -5*z + 67 = 3*c. Calculate the lowest common multiple of 840 and c.
840
What is the common denominator of -57/28 and -4 + (-5102)/(-1488) - (-89)/267?
1736
Let q(p) = -p**3 - 5*p**2 + 3*p + 7. Let l be q(-5). Calculate the common denominator of (-1)/4*(-31)/(-5) and 6/l*(-589)/(-114).
40
Suppose a - 5*v - 12 = 11, 0 = -2*a + v + 1. Let k(h) = -12*h - 17. Let i be k(a). Suppose 0 = -i*j + 33 + 51. What is the lowest common multiple of 24 and j?
24
What is the least common multiple of 336 and ((-1152)/15)/((-7)/245)?
2688
Let k = 22656 + -589129/26. Calculate the common denominator of 20/(-110)*(26/4 - 2) and k.
286
Let y be (6/(-4))/(((-15)/(-80))/(-1)). Let f be (17/y)/(8/(-37820)). Let r = f - -10051. What is the common denominator of -91/30 and r?
240
Let l(w) = -32*w + 82 + 3*w**2 + 2*w + 8*w + 6*w. What is the smallest common multiple of 14 and l(5)?
154
Let p = -42 - -42. Let q(w) = w**2 + 2*w + 1. Let x be q(p). Let r(g) = 19*g + 1. Calculate the lowest common multiple of r(x) and 16.
80
Suppose 4*y - 3*q - 8 = 15, 0 = 3*y - 4*q - 26. Let b(s) = 4*s - y*s**2 + 8*s + 3*s**2 + 4*s + 13. What is the least common multiple of 33 and b(-17)?
330
What is the lowest common multiple of (4 - 0) + 3378/9 + (-40)/(-60) and 80?
1520
Let q = 421855/78 + -29635/6. Let r = 469 - q. Find the common denominator of -25/2 and r.
26
Let s be (-28)/(-322) - 16163806/1384968. Let u = -3/5018 - s. What is the common denominator of u and -49/4?
12
Let w = -240 - -238. Find the common denominator of (-44)/(-36)*-1 - -1 and -1 + (w - (-959)/84).
36
Let t(z) = -11 + z**2 - 56 + 31 - 2*z**2 + 17*z. Suppose -x = x - 26. Calculate the least common multiple of t(x) and 8.
16
Let d be -1 - (46714/(-17082) + 3). Let v = -88/73 - d. Find the common denominator of v and 97/6.
234
Let k = 8/12661 - -161801/4418689. Find the common denominator of 25/2 and k.
698
Suppose 5*g - 9 = -2*s + 40, -5*s + 111 = g. Calculate the lowest common multiple of 1122 and s.
1122
Let v = -70195/994 + 493/7. What is the common denominator of v and 32/5?
710
Let m(c) = -c**3 - 12*c**2 - 16*c - 15. Let a be m(-11). Let b = a + -37. Suppose 9*l = b*l + 30. What is the lowest common multiple of 7 and l?
35
Let p = -348717871/21 - -16613959. Let y = -8348 + p. What is the common denominator of ((-34)/85)/((-4)/475) and y?
42
Let s = 390375 - 538327169/1379. Calculate the common denominator of 43/1773 and s.
12411
Suppose 2*g - h - h - 6 = 0, 5*h = -3*g + 17. Find the common denominator of (-2135)/756 - g/(-16) and -65/9.
54
Let w = -221093141/540 + 409432. Find the common denominator of w and 41/180.
540
Find the common denominator of 21/103 and ((-219)/(-27) + 9 - 9)/(10/(-6)).
1545
Let r(a) = -11*a**2 + 108*a - 25. Let j be r(18). What is the lowest common multiple of j/141*(-4 - -1) and 28?
140
Suppose 165 = -2*b - 5*i, -5*i + 6 = 31. What is the least common multiple of ((288/(-28))/(-4))/((-15)/b) and 194?
1164
Let w = 29374 + -29362. What is the lowest common multiple of 4518 and w?
9036
Let d = -2026855/441 + 4596. What is the common denominator of d and 47/72?
3528
Let n = 27 + -7. Let f(q) = -q**3 + q**2 - q + 22. Let w(h) = h**3 - 2*h**2 + 3*h - 2. Let v be w(1). What is the smallest common multiple of n and f(v)?
220
Calculate the common denominator of 1 + (-33)/15 + 1 and ((1098/10)/(-9))/3.
15
What is the lowest common multiple of ((-1)/(18/(-4)) - (-327470)/990) + -1 and 36?
1980
Let g(j) be the second derivative of j**4/3 + 15*j**2/2 + 95*j + 2. Calculate the lowest common multiple of 111 and g(0).
555
Let u = 12033478817 - 193209535743251/16056. Let p = u - 1/4014. Let g = 603/154 - 29/7. Calculate the common denominator of g and p.
88
Suppose -35 = -3*t - 5. Suppose -t*n - 9 = -149. What is the smallest common multiple of 10 and n?
70
Suppose 5*q = 5*l + 68606 + 42594, -3*l = -4*q + 66718. Let x = -711809/32 - l. Find the common denominator of (1 + (-17)/18)*(-16080)/320 and x.
96
Let g be 1*8 + (-269070)/(-36). Let p = g + -7459. What is the common denominator of p and -11/2?
6
Let y = -1845590363 + 2402958506155/1302. Let j = y - 2/651. Let q = j - -107. What is the common denominator of 5/11 and q?
22
Let f = -1576 + 1591. What is the lowest common multiple of (2 - 6)*135/(-6) and f?
90
Let g(y) = -7*y**2 - 3*y + 4. Let l be g(2). Find the common denominator of 109/80 and (833/(-784))/(l/(-28)).
240
Let h = -985 - -1013. What is the smallest common multiple of 856 and h?
5992
Calculate the common denominator of -29/5258 and (-29)/914892*4493 + 2/11.
31548
Suppose -5*l - 5*l = 10*l - 240. Let b = 14 + -10. Suppose -11 = h - 2*h - 5*u, b*u - 34 = -5*h. What is the smallest common multiple of l and h?
12
Let i(l) = -31*l - 61. Let k be (-15)/6 + (8 - (-102)/(-12)). What is the least common multiple of i(k) and 44?
352
Let z = -10184 + 10196. Calculate the lowest common multiple of 1320 and z.
1320
Suppose -3*i + 16717 = 4*x, 2*x + 2*i - 6172 = 2186. What is the least common multiple of x and 627?
12540
Let m = 21 - 16. Suppose -m*g - 9 = 5*s + 1, 3*g = 5*s + 34. What is the common denominator of 58/15 and (g - 8)*(-2)/18?
45
Let v(r) = -r**2 + 11*r - 12. Let d be v(10). Let i = -1259/7 - -179. Find the common denominator of 27/d*30/(-20) and i.
28
Let p be ((-216)/(-45))/((-3)/(-10)). Suppose -p*q + 6*q = -30. What is the lowest common multiple of q and 3*(0/(-3) + 4)?
12
Find the common denominator of 2/5*125/12 and (355/(-27))/(1005/603).
18
Find the common denominator of 7/(2 - 1) - 4434*3/1914 and 10/121.
3509
Let j be (-1)/6 - (-8744)/48. Calculate the common denominator of -85/22 and (j/(-8) - (-6)/(-24))/2.
22
Let x = -2174123931318649/1170 - -1858224876833. Let t = -9167108/13 - x. Let a = t - 1656/5. Calculate the common denominator of 16/21 and a.
126
Let j = 103 - 181. What is the smallest common multiple of (0 + 2)*(-195)/j and 1?
5
What is the smallest common multiple of 558 and 20/(-5)*(0 + -3)*(-54)/(-12)?
1674
Let q be -6 + (-2 + -4 - -8). What is the common denominator of 0 + 1/((-12)/106) and 1779/2160 + q/36?
240
Let d(q) = 2*q - 10. Let v be d(0). Let y be (-72)/v*50/(-15). Find the common denominator of -19/8 and ((-2)/y)/(2/7).
24
Suppose -5*u = -55 - 25. Let s be (1 - 3)/8 - (-4)/u. Suppose 4*b = -s*b + 44. Calculate the lowest common multiple of 3 and b.
33
Suppose s = -2*x - 122, 14*s = -5*x + 10*s - 302. Let f = 89 + x. Find the common denominator of f and 25/11.
11
Let y = 319/6950 - -52/139. Suppose 3*l = 6*l + 12. What is the common denominator of (-2)/l + -3 - -5 and y?
50
Calculate the least common multiple of (-60)/(-108) - (-56030)/234 and 210.
1680
Let i be -2 + -1847*(-7)/28770. Let m = i + 1/1644. Calculate the common denominator of -51/4 and m.
20
Let u = -4935 + 276369/56. Let b = u - 209/168. Calculate the common denominator of b and (-45)/(-154) - 3/7.
132
Find the common denominator of -151/36 and (7 - 12) + (-7774)/(-1755).
540
Find the common denominator of (-8)/60 + -5 + (-254)/(-80) and 1*(-129)/558*-1.
744
Let x = -6 - -42. What is the lowest common multiple of 9*(-3)/(-9) + 3 and x?
36
Calculate the least common multiple of 444 and (222/(-8))/(3/(-72)).
1332
Let l = 22212717/350 - 63465. Find the common denominator of -63/110 and l.
3850
Let v = 3516 - 1940827/552. Find the common denominator of v and -11/32.
2208
Let m = 579/10 - 25963/450. Calculate the common denominator of m and 59/45.
225
Let a(y) = y**3 - 11*y**2 + 19*y - 23. Let x be a(9). Find the common denominator of (x/(-6) - 2) + 350/30 and -81/52.
52
Suppose -735 + 6 = -81*l. Let x be (-2)/5 - (-28)/(-5). Find the common denominator of -95/6 and x*1/2 - l/10.
30
What is the least common multiple of 148 and ((-2)/(-2))/((-183)/(-47397))?
1036
Let j = -25 + 9. What is the common denominator of ((-6)/14)/(4 - (-474)/(-117)) and (-11)/(-55)*495/j?
112
Let l(y) = -y - 1. Let r be l(-5). Suppose 0 = 5*z - 10, 4*v - 5*v = -r*z - 93. Find the common denominator of (v/55)/((-4)/10) and -41/20.
220
Let q = -12 + 12. Suppose f + q*f - 9 = 0. Suppose d + 5 = f. What is the least common multiple of 27 and d?
108
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