
11900
Let n(g) = 5*g + 139. Let v be n(34). Suppose -45 = -v*z + 304*z. Calculate the smallest common multiple of z and 210.
630
Let f = 5528/31 + -881907/4960. What is the common denominator of f and 9/2?
160
Calculate the least common multiple of 8/22*99/6 and 768.
768
Let l(y) = 3*y + 2*y + 419 - 427. What is the least common multiple of 3 and l(4)?
12
Let i = 159 + -1107/7. Suppose -2*g - 4*l + 8 = 0, -5*g - 2*l = -3 - 49. Find the common denominator of i and (-1505)/(-60) + (-3)/g.
42
Let h = 194 + -194. Suppose 5*a - 4*t = -h*t + 338, 3*a - 202 = 2*t. Calculate the least common multiple of 77 and a.
462
Let b be ((-160123810287873)/9)/((-33202)/(-4)). Let w = -2143429250 - b. Let q = w + -2/16601. Find the common denominator of q and 28/3.
39
Let i = -186251/10542 - -3/3514. Calculate the common denominator of i and 59/112.
336
Let q(d) = 2 + 11*d + 6 - 6 + 3. Suppose -111*f + 106*f = -195. What is the smallest common multiple of q(2) and f?
351
Suppose 2*x = -3*p + 62, p + 41 = 36*x - 35*x. What is the least common multiple of x and 439?
16243
Let m = 355 - 345. What is the smallest common multiple of (-3)/(-1) - (-3 - -2) and m?
20
Let c = 92/203 + -3713/1218. What is the common denominator of ((67704/(-270))/(-62))/((-12)/(-9)) and c?
210
Let b = 15114 + -14735. Calculate the lowest common multiple of b and 8.
3032
Suppose 5*h - 5*m - 90 = 0, -611*m = -5*h - 607*m + 88. What is the lowest common multiple of 736 and h?
736
Let b = 11331763/9480 + -3586/3. Let y = -88491/34760 + b. Calculate the common denominator of -67/6 and y.
66
Let l be (-8 - 358458/(-60)) + 8/(-10). Let n = l - 942445/158. What is the common denominator of n and 32/3?
237
Let s(x) = x**3 - 5*x**2 - 11*x + 25. Let l be s(6). What is the least common multiple of 32 and l/(-2 - -7) + 12?
352
Suppose 51 = 6*t - 39. Let l be (225/t)/(0 + (-2 - -1)). Calculate the least common multiple of (-40)/l*3/4 and 3.
6
Let f = 2164777939505/48648544422 - 24/41157821. Let b = f + 1/591. Find the common denominator of 59/12 and b.
12
Suppose 3*s + n - 5*n + 30 = 0, -2*n - 6 = 2*s. Calculate the least common multiple of 16 and (-189)/s + (-10)/(-20).
32
What is the common denominator of 510/42 + -2 - 3 and ((-1524)/(-216) + -7)*-94?
63
Let v(i) = -i**3 + 7*i**2 - 14*i + 12. What is the lowest common multiple of 12594 and v(3)?
12594
Let q = -106511219188 - -5784198269017955/54306. Let f = q + -1/3879. Find the common denominator of 45/2 and f.
14
Suppose -2*h - 226 = -3*y - 721, 4*h - 1015 = y. What is the smallest common multiple of 6/51 + 8130/h and 2?
32
Let g = 117/10 + -211/10. Calculate the common denominator of ((-81)/456)/((-9)/132) and g.
190
Suppose 601*v - 582*v = 38. What is the smallest common multiple of v and 18?
18
Let d be (240674/(-48) - 1)/((-6)/9). Let i = 7528 - d. Find the common denominator of i and -91/10.
80
Let n(l) = -l**2 - 5*l + 4. Let j be n(-5). Suppose 2*k + 6 = -3*b - 1, -j*b + 3*k = -19. Find the common denominator of b - (-1)/(8/(-58)) and -32/7.
28
Let t(j) = -76*j**2 + 2*j - 2. Suppose 2*i - 2 = -y, 3*i - 2*y - 5 = -2*i. Let g be t(i). Let w = g + 87. What is the least common multiple of w and 7?
77
Let l = 276 + -269. Calculate the common denominator of 97/108 and l/18 + (-51 - -47).
108
Let w(u) = u**2 + 14*u + 69. Let c(a) = -8*a**2 - 6*a + 5. Let o be c(1). Calculate the lowest common multiple of w(o) and 30.
120
Let r = -441421/22 + 20061. Suppose -3*y - 4579 = 2*z, 5*y - 6*y + z - 1533 = 0. Let h = y + 30551/20. Find the common denominator of h and r.
220
Let q = -92542/5 - -7772213/420. Let f be 82/(-7)*(-11 - -10). Let r = q + f. Find the common denominator of r and 31/22.
132
Let k(w) = -13508*w + 1. Let q be k(-8). Suppose 16*g = 21*g + q. Let n = g - -907787/42. What is the common denominator of n and 87/14?
42
Let a = 778932 - 32708651/42. Let m = a + -309/2. Let g = m - 71/84. What is the common denominator of 18/11 and g?
44
Let s = 4010533/3187560 + 4/26563. Calculate the common denominator of s and -173/150.
600
Let p be 56/(-231)*(-36621)/6. Let n = p - 1476. Let y = -141 - -92. Calculate the common denominator of n and y.
11
Suppose -43*f + 36 = -34*f. Find the common denominator of -29/96 and (96/(-110))/(f/10).
1056
Let m = -2/5247 + 64717/10494. Find the common denominator of m and -62/339.
678
Suppose -37*x - 96 = -39*x. Suppose 5*j - j = x. Let t(i) = 19*i**2. Calculate the smallest common multiple of j and t(2).
228
Let f(z) = 6*z + 0*z**2 - z**2 + 2*z**2 + 16*z**2 + 5. Suppose j - 10 = 2*b - 0*b, -3*j + b = -15. What is the smallest common multiple of j and f(-1)?
16
Suppose -3*r + 0*r = 0. Suppose -2*s + 39 = 3*v, -4*v = s + 4*s - 45. Suppose v = 3*l - r. Calculate the lowest common multiple of l and 1.
5
Suppose -170 = -6*y - 80. What is the smallest common multiple of y/(2/(9/((-54)/(-16)))) and 136?
680
Let y = -1555/24 + 5535/88. Find the common denominator of -40/1947 and y.
3894
Let l(c) = c**3 + 9*c**2 - 13*c - 22. Let a = 10 - -10. Suppose -a = 5*z, -3*s + 0*z = -z + 26. What is the lowest common multiple of 20 and l(s)?
40
Let t = -974/179 + 1524557/277450. Find the common denominator of t and 47/300.
9300
Suppose -5*s + 0*s + 895 = 3*u, s = 2*u + 166. What is the smallest common multiple of 168 and s?
3696
Suppose -2*w = 1 - 7. Suppose 4*b - w = 13. Calculate the smallest common multiple of 9/b*(-9)/(135/(-20)) and 2.
6
Let b(x) = -x**3 + 5*x**2 + x + 8. Let i be b(7). Let q = 95 + i. Let r(k) = 6*k - 4. What is the least common multiple of q and r(4)?
60
Let s = -133 - -77. Let g = 49 + s. What is the lowest common multiple of 40 and (2 - 69/g) + (-1)/(-7)?
120
Let i(v) = -v**2 - 29 + v + 9 - 5*v + 15*v. What is the lowest common multiple of 11 and i(3)?
44
Suppose 3*m + 694 = -2*v, 7*m = 3*m - 5*v - 930. Let r = m + 246. Calculate the smallest common multiple of 90 and r.
720
Suppose 0 = -3*r + s + 485, 6*s - 470 = -3*r + 4*s. Find the common denominator of 32/r*(-158)/(-18) and -77/30.
90
Let z = 94795/17514 - 23/973. Let j = 622301/60 + -10372. What is the common denominator of j and z?
180
Let h(m) = 2*m**3 - 3*m**2 - 456*m - 287. Suppose 0 = -o - 4*x + 35, 3*x = 2*o - 57 - 13. Calculate the lowest common multiple of o and h(-14).
105
Let w = 8457 - 8441. Calculate the lowest common multiple of 178 and w.
1424
Let u = -693 + 897. Calculate the lowest common multiple of u and 132.
2244
Calculate the common denominator of 171/(-40) - 4/(-10) and (-70)/48*(324/(-168))/(30/(-7)).
32
Calculate the lowest common multiple of (-140)/(38/(-4) + 9) and 35.
280
Let t(i) = 258*i + 2850. Calculate the least common multiple of 136 and t(-11).
408
Let i = 63796 - 37431. Let s be ((-21)/2240)/(((-2898)/354351592)/(-23)). Let c = i + s. Calculate the common denominator of c and -117/14.
1680
Suppose -7*m + 31*m = 751 + 1337. What is the smallest common multiple of m and 21?
609
Let p be (24/(-1))/(-4)*(-5)/(-10). Let q(r) = -r**3 + 6*r**2 - 3*r - 1. Calculate the smallest common multiple of q(5) and (1/4)/(p/(-48)*-4).
9
Let y = -52/473 + 35509/60544. Calculate the common denominator of y and 37/160.
640
Let w = 21 + -18. Suppose -5*h + 104488 = w*h. Let o = h + -313313/24. Find the common denominator of o and -85/6.
24
Let p = -144215/1618078 - 106/16511. Find the common denominator of -45/4 and p.
2156
Let w = -13858409/3 - -4801537. Let c = -72646471/399 + w. Let p = c + 147/19. Find the common denominator of p and -23.
7
Let j(u) = -30*u + 6. Let d(b) = 29*b - 7. Let o be 2/(-11) - 512/88. Let z(n) = o*j(n) - 5*d(n). What is the smallest common multiple of 9 and z(1)?
306
Let c be ((1 - 4) + 3)*-1. Suppose 0 = 2*s + 3*x - 45, 4*s - 2*x - 79 - 19 = c. What is the lowest common multiple of 40 and s?
120
Suppose -17 = -4*i - 29, -5*a = -4*i - 512. What is the smallest common multiple of 300 and a?
300
Let v = 596579/146472 + -555/136. What is the common denominator of -5/3 and v?
2154
Let d = 3/36881 + -1955365/8261344. Let j = -538389/154 - -24470/7. Calculate the common denominator of d and j.
2464
Let g = 18973/11044 + -49/251. Calculate the common denominator of -117/836 and g.
836
Let u = 2010 + -66343/33. Find the common denominator of u and 15/(-5) + (-18)/(-7).
231
Let g = 185174/41 + -4517. Let h = -363 + 1