
Let z = -305 - -139. Let l = 223 + z. What is the least common multiple of l and 12?
228
Find the common denominator of -17/10 and 2/(-2)*(-8 - -13) + 1697/354.
1770
Find the common denominator of 29/328 and 1026/(-60)*((-2701)/(-1353) - 2).
3608
Let d = -2209 - -4099. Suppose -10*v + d = 11*v. What is the lowest common multiple of v and 80?
720
Suppose -404 = -4*r + 4*m, -r = -3*m + 432 - 523. What is the smallest common multiple of r and -18*2/4*-2?
954
Let d = -24208511397 - -551711974468703/22790. Let p = 1/4558 + d. What is the common denominator of p and -61/16?
80
Calculate the least common multiple of 76/133 + 4986/21 and 3.
714
Let m(w) = w**2 - 10*w + 10. Let u be m(7). Suppose j = 172 - 160. Let p = u + j. Calculate the lowest common multiple of p and 11.
11
Let l be 3 + (-21255)/3537 - -3. Let p = -3457/786 - l. Let z = 1642/9 - 26011/144. Find the common denominator of p and z.
144
Let t(o) = o**2 - 28*o + 69. Let n be t(25). What is the common denominator of 58/21 and (87/63)/((-13)/n)?
273
Find the common denominator of -53/16 and 9/24 - (8 - 1953/280).
80
Suppose u = 3 + 1. Suppose u*r = -6*r + 3*r. Calculate the common denominator of -43/20 and (-8)/128 - (r - 0).
80
Let s(p) = -p**3 + p**2 + 17*p - 10. Let d be (-2)/(3*9/(-54)). Calculate the smallest common multiple of 1/(0 - 1) - -64 and s(d).
630
Let u be (42/(-70))/(3 - 656/220). Find the common denominator of -125/12 and ((-88)/1620*u)/((-280)/50).
756
Suppose -b - 37 = 2*u - 33, -4*u - 4*b - 16 = 0. Suppose 3*y = -3*h + 2*y + 54, u = -7*h + 4*y + 126. What is the least common multiple of 36 and h?
36
Let y(u) = u**2 + 967*u + 9582. Calculate the least common multiple of y(-10) and 8.
24
Let n = -15693 + 2918771/186. What is the common denominator of -113/310 and n?
930
Let q = 1400 - 1374. Calculate the lowest common multiple of 4 and q.
52
Calculate the least common multiple of (-424476)/(-324) + 3/(-27) and 786.
3930
Let s = 1/7904 + 12719/11856. What is the common denominator of 13/27 and s?
864
Let x = -19332725167/12010 - -1609719. What is the common denominator of x and -69/4?
24020
Find the common denominator of -23/16 and 36/9 + (-5)/18*(25 + -21).
144
Let u = -1088436824 + 8548582755661/7854. Let s = u + 4/3927. Find the common denominator of 2/3*158/(-24) and s.
126
Suppose -8*b - 630 = -5*v - 6*b, 0 = 3*b. Calculate the smallest common multiple of v and 630.
630
Let g be 8 - (-2 + 3 - 3). Let a = 16 - g. What is the least common multiple of 3/6 - (-6 + (-14)/(-4)) and a?
6
Let a = 1195/3 - 394. Calculate the common denominator of ((-2910)/31040)/((-193)/220 - -1) and a.
72
Let w = 1676 + -1260. What is the smallest common multiple of w and 12?
1248
Suppose -3*r + 9230 = f, 34*r = 29*r. Calculate the least common multiple of 12 and f.
55380
Suppose 2 = 5*n - 13, -2*k - 5*n - 15 = 0. Let h = -7645/4 - -1891. What is the common denominator of (-1)/4 + 57/k and h?
20
Let o = 223717/16 - 13978. Calculate the common denominator of -51/5072 and o.
5072
Let w be (-24)/(-15) - ((-27)/(-15))/3. What is the common denominator of 195/424 + w/(-8) and 79/10?
1060
Let m be (30/28)/((-188)/14). Let h = m + -2571/470. Let f = -1924693/650 + 38478/13. Find the common denominator of h and f.
100
Let t = -1193113 - -2142830869/1796. Calculate the common denominator of t and -41/2.
1796
Let s = -7 - -9. What is the lowest common multiple of (-79)/(-2) + -1 + (-498)/996 and s?
38
Calculate the smallest common multiple of 90 and (((-3)/(-8))/(1/10))/(3/760).
8550
Let v be ((-4824)/112)/9 - 3/(-6). Let p = 190/21 - v. Calculate the common denominator of -21/422 and p.
1266
Suppose -9*b - 2749 + 19858 = 0. Calculate the smallest common multiple of 5 and b.
9505
Let b = 182 - 177. Let v(g) = -g**3 + 4*g**2 + 4*g - 3. What is the lowest common multiple of b and v(4)?
65
Let i(g) = 7*g**2 - 22*g - 146. Calculate the least common multiple of 39 and i(-7).
351
What is the common denominator of (-5832)/(-6480)*((-1077)/536 - -2) and -103/5360?
5360
What is the smallest common multiple of 114 and (378/315)/((-3)/(-90))?
684
Let w = 8622 + -8567. What is the least common multiple of w and 1515?
16665
Suppose -10*p = -176 + 46. Suppose f = -p*f + 14. Calculate the lowest common multiple of 29 and f.
29
Let c = -2590 - -2780. Calculate the least common multiple of 228 and c.
1140
Let k(c) = 2*c + 41. Let d be k(14). Let z = 125 - d. Suppose -z = -6*m + 52. What is the lowest common multiple of m and 6?
18
Let n = -77/4 - -2925/148. Let g = n - -2179/296. Find the common denominator of g and 2/62*236/(-8).
248
Let u be 2541/(-4)*(-80)/30. Let p = 20341/12 - u. Let d = 5632 + -112673/20. Calculate the common denominator of d and p.
60
Suppose -6*q + 4*q + r + 22 = 0, 3*r - 30 = -2*q. Suppose -q = -7*u + 2. Calculate the smallest common multiple of 288 and u.
288
Suppose 5*s = 4*v - 22 + 253, -3*v - 105 = -2*s. Calculate the lowest common multiple of s and 2*(-1 - (-35)/2).
429
Let p be 9 - (-759)/(-88) - 42/(-16). Suppose 4*m + p*j + 11 = 5*m, -2*m + 13 = 3*j. What is the lowest common multiple of m and 40?
40
Let t(y) = y + 478. What is the smallest common multiple of t(-50) and 8?
856
Suppose -4*c + 3 = -9. Suppose c = -u + 10. Let g(o) = o**2 - 24*o + 51. What is the lowest common multiple of u and g(22)?
7
Let t be 2*5/(-10)*0. Suppose -7*y + 16 + 5 = t. Let k(c) = 2*c**2 - 2*c - 3. Calculate the least common multiple of y and k(3).
9
Let s(h) = 3*h - 16. Let g(j) = -3*j + 16. Let t(x) = -4*g(x) - 3*s(x). Let r be (-598)/(-69) - (-4)/3. Calculate the least common multiple of 16 and t(r).
112
Let l = 4331/117 - 320/9. Let n = l + -431/117. Find the common denominator of n and 1/(-1)*(1012/(-56))/(-11)*4.
63
Find the common denominator of -13/192 and (1/28)/((-18)/9 + (-136)/(-266)).
6336
Find the common denominator of (14552/256564)/((-30)/2114) - -4 and -47/4410.
48510
Let g = 8683 + -8170. What is the lowest common multiple of g and 27?
513
Let k = 64249/5 + -12858. Calculate the common denominator of 22/183 and k.
915
Find the common denominator of -25/5076 and (3/(-12))/((-21)/140) - (-655)/(-204).
86292
What is the common denominator of (8/(-38))/2 + (-253648)/(-65322) and 14/135?
135
Let u be ((1 - -2)*5)/((-1)/(-3)). Suppose x = u - 31. Calculate the smallest common multiple of x and 18.
126
Suppose 4 = 3*o - 5. Let g = -3493 + 3502. Let b = g - o. Calculate the least common multiple of b and 32.
96
Let k be (4/12)/(20/(-480)). What is the common denominator of -2*k/(-20) + (-109)/(-160) and 107/12?
480
Let a be 10500/(-49) + (-2 - 16/(-7)). Let w = a + 224. What is the smallest common multiple of w and 39?
390
Let o be ((-9)/(-6) - 2)/(2/(-4)). Suppose -o = r - 20. Suppose 4*p - 32 = -3*x, -3*x = 2*p - 15 - r. What is the lowest common multiple of 21 and x?
84
Let m(s) = s**3 - 7*s**2 + s + 1. Suppose b + 25 = 6*b. Calculate the common denominator of 15/(-50)*22 + 10/(-20) and m(b).
10
Suppose -5*q + g + 414 = 2*g, 0 = 3*g - 12. Let w = 131 - q. What is the smallest common multiple of 14 and w?
98
Let c be 583/(-13) - (-94)/(-611). Calculate the smallest common multiple of 2*(c/(-2))/9 and (-56)/(-6) - (-28)/(-21).
40
Let a be 10/35 + 930/(-21). Let m = a + 2. Let z = m + 48. What is the lowest common multiple of 12 and z?
12
Let z = -506039867486 + 85400300116931513/168762. Let w = 14/2557 - z. Find the common denominator of w and 55/39.
858
What is the common denominator of ((-42)/(-38) - 2) + 3 and (-61)/(-305)*(-116)/38?
95
Let f = 432437/114024 - 4/4751. What is the common denominator of 133/204 and f?
408
Let g be (-524864)/77056 + (-1)/4. Let i = 3/301 - g. Let j = 293 - 637/2. What is the common denominator of j and i?
14
Let h(u) = -u**2 - 20*u + 17. What is the least common multiple of (2 + 5)*3 + 3 and h(-17)?
408
Suppose -5*i - 229 + 74 = 0. Let v = 88203/35 + -2519. Find the common denominator of i/2*(-4)/(-3) and v.
105
Let y(o) = o**3 + 22*o**2 - 48*o + 8. Let f(z) = 6. Let v(q) = -q + 49. Let r(d) = 51*f(d) - 6*v(d). What is the lowest common multiple of y(2) and r(12)?
168
Let c = -949 + 8525/9. Find the common denominator of 12/(-2) - 87238/(-12720) and c.
360
Suppose 5*p = 22 - 7. What is the smallest common multiple of (67 - 26 - -4)/((-10)/(-26)) and p?
117