48.
480
Suppose -2139 - 12301 = -4*l + 3*a, -3*a = -5*l + 18044. Calculate the smallest common multiple of l and 16.
14416
Let y be -1*6*2/3. Suppose -41*l - 46*l - 1215 = -170*l + 38*l. Calculate the lowest common multiple of ((-3)/(-2))/((-2)/y) and l.
27
Suppose 5*w + 5448 = 4*o, 7199 - 415 = 5*o - 3*w. What is the smallest common multiple of 234 and o?
12168
Calculate the common denominator of -3 - 9 - ((-1811075)/(-150960))/(-1) and -37/8.
30192
Suppose 32*j = 24*j. Suppose -4*x - 935 = -5*c, j = -c + 3*x - 6 + 193. What is the least common multiple of c and 153?
1683
Let k = 20837813/280 - 74421. What is the common denominator of k and (2/20)/((-28)/2716)?
280
Suppose 120 = 3*f - 5*t, 80 = -2*f + 4*f + 5*t. Let u = -2158/495 - 2/495. What is the common denominator of f/(-48)*40/(-14) and u?
231
Suppose -k = 2*k. Suppose k = 5*z - 2*t - 56, -2*z + t + t = -26. Suppose 5609 - 5049 = 140*b. What is the lowest common multiple of z and b?
20
Suppose 0 = -n - 4*p - 1 - 10, 2*n + 3*p = -12. What is the common denominator of 2*1 - 43/(-12) and n - -3 - 19/20?
60
Let j(c) = -c**3 + 31*c**2 + 40*c + 997. Calculate the least common multiple of 91 and j(33).
12649
Let u(x) = -x**3 + 10*x**2 - 11*x - 10. Let b be u(5). Calculate the lowest common multiple of 45/b - (-378)/8 and 8.
48
Suppose 0 = g - 5*d + 9*d + 15, 3 = -g - d. Calculate the least common multiple of g and 44.
44
Find the common denominator of ((-11)/7)/((-702)/(-1001)) and (-1001)/(-132)*3/(105/2).
270
Suppose -24196 = 2*z - 24244. What is the smallest common multiple of z and 2478?
9912
Suppose 74976 = -39*z + 323*z. Calculate the least common multiple of 121 and z.
2904
Let c(m) = 22*m + 5. Let y be c(4). Let f = -137133 + 1919951/14. Find the common denominator of f and (y/2)/(-35*1).
70
Let c = -12 + 13. What is the common denominator of (1020/(-50))/(c/((-2)/40)) and -91/20?
100
Suppose 11*m = 5*u + 7*m + 89377, -3*m = -5*u - 89374. Let l = 643487/36 + u. What is the common denominator of -97/48 and l?
144
Suppose 7*y - i = 4*y - 36, -y - 16 = i. Let n(q) = -7*q + 39. Calculate the lowest common multiple of 143 and n(y).
1430
Let r = -445/3 + 8909/60. Let v = 69/10 - r. Calculate the common denominator of v and (1/1)/((-6)/(-130)).
12
Suppose l - 6*l = -30. Let y(g) = g**2 - 6*g - 20. Let o be y(9). Suppose o*h - 14*h = -21. Calculate the least common multiple of l and h.
6
Suppose -208 = -2*n + 5*t - 158, 0 = 4*n + 5*t - 70. Calculate the lowest common multiple of 94 and n.
940
Let f be -2*(14/(-63) + (-518)/18). Let b = f + -52. Let g = -2 - -8. Calculate the least common multiple of b and g.
6
Let b(x) = -31*x + 150. Let q be b(8). Calculate the common denominator of (14/q)/((-30)/(-291)) and 103/70.
70
Let q(p) = 5*p**2 + 8*p + 9. Let r be q(-6). Suppose 30 + r = -9*h. Let x = h - -25. What is the least common multiple of x and 21?
42
Let r = -9545/72 + 1231/9. What is the common denominator of r and -79/1644?
3288
Let l(o) = -o + 15. Let g be l(-3). Calculate the lowest common multiple of (g/(-12) - -1)*-16 and 4.
8
Suppose 0 = 5*y - 5*b - 3365, -1912 - 122 = -3*y - 2*b. What is the smallest common multiple of 3 and y?
2028
Let v = 994725/68 - 14627. Let p = 13/2669 - -183875/58718. Find the common denominator of p and v.
748
Suppose 3*b = -2 - 7. Let s = b + 4. What is the smallest common multiple of 27/(-6)*(-6)/9*1 and s?
3
Suppose -1140 - 1632 = a - z, -2*z + 8314 = -3*a. Let c = a + 55443/20. Calculate the common denominator of c and 87/8.
40
Find the common denominator of ((-250712)/(-765))/22 - 15 and 2/9.
765
Suppose -63*f = 4*f - 60970. Calculate the smallest common multiple of 18 and f.
8190
Suppose 97 = 4*w + 37. Let b be 246/9 - 1*(-2)/(-6). Suppose 0 = u + 2*u - b. Calculate the least common multiple of w and u.
45
Let v be (428/10)/((-22)/(-55)). Let j = v + -99. What is the lowest common multiple of 40 and j?
40
Let j(r) = -r**2 + 17*r - 11. Let k be j(16). Suppose 0 = -3*o - k*f - 103, 4*o = o - 4*f - 104. What is the least common multiple of 24 and (-7)/2*o/7?
72
Let m(c) = -2*c + 15. Let t(l) = l + 5. Let q be t(4). Let a be m(q). Calculate the common denominator of (a/22)/((-11)/(-154)) and 33/4.
44
Suppose 5*l = 3*f + 2993, 2404 = 4*l - 3*f - f. Calculate the lowest common multiple of 170 and l.
1190
Let z = -5924 - -337655/57. Let a = z - 1391/399. Let j = -18437/6 + 3066. What is the common denominator of a and j?
42
Suppose 3*i - 55 = -13. Suppose 74*m - 3*g = 72*m + 4, -4*m = -2*g - 40. Calculate the least common multiple of m and i.
14
Let z = 44/105 + -2617/315. Calculate the common denominator of (-2)/138 - 0/7 and z.
207
Let v be 0*6/(-144)*-8. Suppose 5*w - 13*w + 64 = v. Calculate the lowest common multiple of 15 and w.
120
Let q = -978/19 + 49661/912. Calculate the common denominator of 145/156 and q.
624
Let x be (-44)/(-3)*(-6)/4. Let p = -11456 - -68585/6. Let y = p - x. Calculate the common denominator of y and -17/11.
66
Find the common denominator of (-33)/((-2435004)/13328) - 6/33 and -57/473.
18447
Let u = 12696/245 + -259/5. Let b = 1651 + -92531/56. Find the common denominator of b and u.
392
Suppose 0 = 75*h - 1208 - 1792. Calculate the smallest common multiple of h and 144.
720
Let y = 33 + 0. Let h = -72 - -62. What is the lowest common multiple of y and 8/h + (-512)/(-40)?
132
Let b be (30/35)/(-3) + 643481991/3570. Let t = b - 180246. Calculate the common denominator of -13/14 and t.
1190
Suppose 0 = 4*m - o + 14, -m = m + 3*o. Let r be ((-2)/3)/(m*(-3)/54). Calculate the common denominator of (-874)/(-36) - r/18 and -41/14.
14
Let r be 2/30*-58 - 38/285. Calculate the least common multiple of (r + 72/15)/((-6)/(-75)) and 224.
1120
Let c(w) = 27*w + 8. Let b = 451 - 451. What is the smallest common multiple of 44 and c(b)?
88
Let u be (-1 - 1)/(4/(-48)). Let n = -30159/4565 - -6/913. Calculate the common denominator of (-8)/(-6)*(-98)/u and n.
45
Suppose 3*y - 41 = -5*m + 29, -3*y - 2*m + 46 = 0. What is the smallest common multiple of y and 2231?
22310
Suppose 7*a - 30 - 54 = 0. Let t(l) = l**3 + 12*l**2 - 5*l - 6. Calculate the lowest common multiple of a and t(-12).
108
Let h = -1387 + 1999. What is the smallest common multiple of h and 68?
612
Suppose 45*g - 49910 - 10230 - 52045 = 0. What is the least common multiple of 2216 and g?
19944
Let x be (9/30)/(9043/1808 - 5). Let t = -16067/90 + x. Let j = -434/5 - -967/15. What is the common denominator of j and t?
18
Let t = 949 - 942. Suppose 0 = t*o - 20 - 29. Let i(j) = 2*j - 7. What is the lowest common multiple of o and i(7)?
7
Let h be (106/6)/((-3)/27). Let i = h - -297/2. What is the common denominator of (1/(-12))/(3981/(-249) + 16) and i?
12
Let i = 6 - 2. Let c be ((-64)/(-24) - 5)/(28/(-24)). Suppose 16 = -4*l, 5*q - 752 = -i*l + c*l. What is the smallest common multiple of q and 6?
456
Let b be (-143 - 2)/((-2)/(-2)). Let f = -887/88 + -89/264. What is the common denominator of f and 2/(-1) + b/(-18)?
36
What is the common denominator of -18*(-20)/(-40) - 4759/(-528) and -77/80?
2640
Let l(z) = -50 + 10*z**2 - 912*z - 34 + 938*z. What is the least common multiple of 2 and l(3)?
84
Let m = -11 - -37. Let h = -33553 - -33559. Let i = m - h. What is the smallest common multiple of i and 44?
220
What is the common denominator of (-2130)/4698 - 102/(-1377) and 161/2262?
2262
Suppose d + 4*z + 0*z = 23, 5*d = -4*z + 67. Suppose 30*c = d*c + 133. Calculate the least common multiple of 100 and c.
700
Suppose 3*u + 5*n = -38, 0 = 4*n + n + 5. Let d(j) = -j + 7. Calculate the least common multiple of d(u) and 6.
18
Let c = 301768909 + -10259080977/34. Let w = c - 31231. What is the common denominator of w and (-1 - 636/80) + 2/8?
170
Suppose 4*g - 4*y - 31 = -3*y, 3*g + 6*y = 3. Calculate the lowest common multiple of 301 and g.
301
Let i = -6275454797/3224 - -1946481. Find the common denominator of i and -21/2356.
61256
Let d(z) = 2*z**2 + 36*z - 716. What is the lowest common multiple of 610 and d(12)?
1220
Let k = -11623 + 11653. What is the least common multiple of k and 2040?
2040
Let r = 32053/8426 + -12/383. Suppose 0 = -2*p - p + 135. What is the common denominator of r and ((-23)/5)/(18/p)?
22
Let o = -685 + -179. Find the common denominator of 2/3 - 477/o and -