. Suppose -4*y = -5*q - 3 - n, -2*y + 24 = 3*q. What is the least common multiple of y and 2?
6
Suppose -18*f = -5*f - 429. Calculate the lowest common multiple of f and 24.
264
Let c = -996 - -126490/127. Let s = -2090700910/889 + 2351745. Let j = c + s. What is the common denominator of 89/15 and j?
105
Suppose -4*g - 3224 + 21470 = -2*c, -2*g = -3*c - 27365. Let y = -72877/8 - c. Calculate the common denominator of -1/4 and y.
8
Let d = 3652 + -65699/18. Calculate the common denominator of 121/36 and d.
36
What is the common denominator of 11/2*11*15/(-4770) and 3/20?
3180
Suppose n - 5*n = 3*z + 9, -5*z = -3*n + 44. Let o(u) = u**2 - u - 8. What is the lowest common multiple of (-4)/12 + (-38)/(-6) and o(z)?
48
Calculate the least common multiple of ((-12)/9)/(14/42)*-12 and 33.
528
Suppose 138*h + 36 = 144*h. What is the least common multiple of 225 and h?
450
What is the lowest common multiple of 42 and (-12)/((8 + 4)/(-6))*6?
252
What is the common denominator of ((-212)/9)/4 - -3 and (1 - (-16)/(-3)) + 4?
9
Suppose -5*y + 328 = -3*n + n, 3*n = -2*y - 454. Let z = 286 + n. Calculate the common denominator of -69/4 and (3/(-24))/((-8)/z).
16
Suppose -5*z = -c - 1, 4*c - 77 + 27 = 2*z. Calculate the smallest common multiple of 77 and c.
154
Let u = -1965 + 1966. Calculate the lowest common multiple of (4/(-6))/(1/(-3)) and u.
2
Let u(f) = f**3 - 7*f**2 + 6*f + 2. Let k be u(6). Suppose -4*r - 26 = k*l + 4, 5*r + 2*l = -40. Let j = 0 - r. What is the lowest common multiple of j and 14?
70
Let m = -3 - -7. Suppose -4*z - a = -m*a - 17, -3*z + 18 = -4*a. Calculate the common denominator of -29 and (-1420)/15*z/(-8).
3
Let w = 242 - 233. Suppose 0 = 2*z - 0*u - u - 5, 0 = -u + 1. Suppose 2 + z = h. What is the lowest common multiple of h and w?
45
Let s = 23 + -16. Suppose 8*w - 6 = s*w. What is the common denominator of (-417)/90 + (-4)/w and 25/9?
90
Suppose 0 = 3*i - 2*a - 19, 3*i = 7*i - a - 27. What is the lowest common multiple of 373 and i?
2611
Suppose -32 = -39*o + 35*o. Calculate the lowest common multiple of 892 and o.
1784
Let u be 3/(6/4) - 1*-26. Let l = -22 + u. Calculate the smallest common multiple of 22 and l.
66
Let w(s) = 7*s. Let p = 221 + -186. What is the lowest common multiple of w(1) and p?
35
Let c(r) = -r**2 + r + 6. Let y be c(3). Suppose y = 3*o - 9 - 0. What is the smallest common multiple of 9 and o?
9
Let p = 506 - 466. What is the least common multiple of p and 60?
120
Let y(b) = -2*b - 45. Let s be y(-20). Let d(l) = 3*l + 24. What is the lowest common multiple of 5 and d(s)?
45
What is the smallest common multiple of (4/5)/((-1)/(-10)) and 2346/15 + 30/(-75)?
312
Let m be (-1 - -2)/((-100)/(-451235)). Let i = m - 4510. Calculate the common denominator of -51/8 and i.
40
Suppose 52*z - 49*z - 21 = 0. What is the lowest common multiple of z and 6?
42
Let y(m) be the first derivative of m**4/4 + m**3 - 3*m**2/2 - 2*m - 1. What is the lowest common multiple of (2/4)/(2/36) and y(-3)?
63
Calculate the least common multiple of 10 and (-33 + -1)*25/((-75)/6).
340
Suppose -2*s - 5*v = -50, v + 3*v - 68 = -3*s. Let n = s + -16. Suppose n*x = 4 + 4. Calculate the lowest common multiple of x and 3.
6
Let q(v) = -v + 1. Let k be q(1). Calculate the common denominator of 2 - (k - 34/12) and (24/(-25) - -1)*1455/(-6).
30
Let n = 2088/17 + -562417/4590. Calculate the common denominator of 29/180 and n.
540
Let w = -9 - -11. Suppose -w*q = g - 17, 5*g + 3 = 4*q - 10. Suppose 3*v + 5 + q = 0, 3*v = -o. What is the smallest common multiple of 8 and o?
24
Let s be 912/(-56) + (-4)/(-14). What is the common denominator of 37/48 and (8/s)/((-10)/122)?
240
Let c be (-12)/((-10)/(-4) - 1). Let o be (8 - 12)*6/c. Find the common denominator of -41/4 and (-6)/o + (-6)/(-16).
8
Let k = 108 - 101. Let u(i) = 5*i**2 - 6*i + 17. What is the least common multiple of 22 and u(k)?
220
Let a = -30 + 52. Let g = 10 + -10. Suppose -m = -g*m - 4. What is the lowest common multiple of m and a?
44
Let d = 6 - 3. Let i be -3 + 40*d/2. Suppose 0 = -4*x + i + 15. Calculate the lowest common multiple of 10 and x.
90
Let l be -29 + (1 - 4) + -3. What is the common denominator of 2/(-12)*(-21)/(-11) and (71/(-5))/(56/l)?
88
Let v = -7 - -11. Suppose 0*x + v*x = -16. What is the lowest common multiple of 10 and (-3 - 0)*x/4?
30
Let t = -67/5448 + 16047553/38136. Let x = t - 425. Calculate the common denominator of 31/8 and x.
56
Let k = 3032/7 - 432. Let p be 1 - (1 + (-1)/(-15)). Let u = 613/30 - p. Calculate the common denominator of k and u.
14
Let r be ((-63)/28)/((-1)/(-16)). Let w = -15 - r. Calculate the common denominator of -95/16 and w/5*(-3)/12.
80
Suppose 6*j - 256 = 2*j. Calculate the smallest common multiple of 6 and 10/(-25) + j/10.
6
Suppose 3*s + k + 175 = 0, 4*k = -s - s - 130. Find the common denominator of (-4 + -10)/(-3 + 60/52) and 3/(-2)*s/(-30).
60
Let k(a) = 56*a - 19. Let z be k(-10). What is the least common multiple of 24 and z/(-45) + 1 - (-4)/30?
168
Let y(g) = g**2 - 12*g - 127. Calculate the lowest common multiple of 11 and y(24).
1771
Let n be (5/(-3))/((-3)/9). Find the common denominator of (-5)/(-14) + n/10 and ((-3)/42)/(3/78).
7
Let p(t) = t + 3. Let f be p(2). Suppose 33 = -f*n + 8*n. Calculate the smallest common multiple of n and 6.
66
Let o = 5/119 - -10343/238. Suppose 0 = 3*w - 7*w - 120. Calculate the common denominator of (93/9)/(w/(-9)) and o.
10
Suppose -5*q = u + 3*u + 76, -4*u = 4*q + 80. What is the common denominator of 41/3*1*(-1)/u and 115/18?
72
Find the common denominator of ((-124)/12)/(5 + 2 + -3) and 91/2.
12
Let n be (1/1074)/((-1)/(-10)). Let y = -9199/7518 + n. What is the common denominator of -7/2 and y?
14
What is the lowest common multiple of 249 and 67/2 - (2/1)/4?
2739
Let z(o) = o - 18. Let x be z(5). What is the common denominator of (x/(-52))/(3/254) and 99/16?
48
What is the common denominator of 1/18 and (4 - (-261)/(-54))*(-79)/(-30)?
36
Suppose 8*r - 114 - 510 = 0. What is the least common multiple of r and 48?
624
Let i be ((-4)/(-5))/((-14)/140). Calculate the lowest common multiple of (-3 + (-26)/i)*8 and 4.
4
Suppose 1596 = 415*q - 401*q. Calculate the lowest common multiple of 114 and q.
114
Let j = -9063181/108 + 83919. Calculate the common denominator of j and -17/2.
108
Let z(j) = -80*j - 636. What is the lowest common multiple of z(-8) and 28?
28
Let p = -1109 - -24349/22. What is the common denominator of p and 3*13*3/30?
110
Let m be (-4055)/2*(-7)/(-1743). Let u = m - 2/83. What is the common denominator of u and 65/74?
222
Suppose 4*c + 3*x = 2, -3*x = 2*c + 2*x - 8. Let w be 590/54 + 54/729. Let z = w + c. Calculate the least common multiple of 2 and z.
10
Let y = -103 - -82. Let z(a) = 8*a - 4. Let b be z(-4). What is the common denominator of 23/8 and y/b*20/(-2)?
24
Let n = 22061/266 - 594/7. What is the common denominator of n and -2/209?
418
Suppose -6*k + 20 = -k. Calculate the smallest common multiple of 14 and k.
28
Let i(v) = -243*v**3 - v**2 - 2*v - 1. Let p be i(-1). Let d = -4833/20 + p. Find the common denominator of d and -6 + 3 - (-99)/60.
20
Let y = -152 + 201. What is the smallest common multiple of y and 35?
245
Let d be (-28)/(4 + -5 - 1). Calculate the common denominator of 33/8 and ((-20 - -7) + 7)/(d/5).
56
Suppose 45 - 9 = 12*b. Calculate the lowest common multiple of 34/3 + (-6)/(-9) and b.
12
Let l = 18 + -13. Suppose 7*w - 16 = l. Calculate the smallest common multiple of w and 9.
9
Suppose 3*h = -0*h + 5*h. Calculate the common denominator of ((-2)/4)/(h + 24/(-125)) and 59/10.
240
Let y be (-4)/(-3) - 19033/(-588). Let i = y - 324/7. Calculate the common denominator of (-2)/(-30)*654/(-8) and i.
60
Find the common denominator of -4*((-253)/72)/11 and -85/288.
288
Let x(b) = 257*b**2 + b. Let w be x(1). Suppose -w = -3*s + 12. Suppose 4*h - s = -h. Calculate the lowest common multiple of 12 and h.
36
Let y = 1323/44 + -328/11. Let p be 0 - (-1 + (-46454)/12). Let c = p - 3857. What is the common denominator of y and c?
12
Let f be 73840/(-4032) + 6/8. Let c = 46/63 + f. Find the common denominator of -71/54 and c.
54
Let u = -386537738/9 + 42902206. Let r = u + 46479. Let p = r - 118/3. Find the common denominator of -59/4 and p.
36
