s = l + 184405/49. Calculate the common denominator of s and 69/4.
196
Let x be (1 - 14331/(-12)) + 50/(-10). Let z = x + -42587/36. What is the common denominator of 35/18 and z?
18
Suppose 787 = 11*m - 1149. Suppose -5*j + 14 = -m. Calculate the least common multiple of 1 and j.
38
Let c = 5 - 2. Suppose -u = 4*t, -6 = c*u + 3*t - 15. Suppose 4*s + l = 7, 6*l + u = 2*l. Calculate the smallest common multiple of s and 6.
6
Let r = 209/18 + 92/9. Let q = 1289/105 + -242/15. Calculate the common denominator of r and q.
42
Suppose 2*r + c - 47 = -8, 5*r = -4*c + 96. Calculate the common denominator of -79/16 and ((-58)/(-15))/((-16)/r).
48
Find the common denominator of 181/(-45) + (-451 - -454) and -77/2925.
2925
Calculate the common denominator of 13/1344 and ((-63215)/(-30576))/(-5) - (-1422)/3081.
9408
Let j(q) = -2*q**2 - 39*q + 49. Let h be j(-21). What is the smallest common multiple of -4*21/h - -24 and 18?
90
Let n = 1705 + 247. What is the least common multiple of 976 and n?
1952
Let c be 0 - (-2 + -3 + 1 + 1). Suppose 7 = -c*b + 10. What is the smallest common multiple of b and (6/(-3) + 1)/((-1)/131)?
131
Let i = -2455 - -3283. Calculate the least common multiple of i and 84.
5796
Let k(i) = -14*i - 55. Let x be k(-13). Let b = x - 61. Calculate the lowest common multiple of b and 6.
66
Let w = -186/1055 + -6919/33760. Calculate the common denominator of w and 119/20.
160
Suppose 4*j + 2*k + 354 = 0, -165 = 2*j + 5*k - 0. What is the common denominator of 39/14 and 485/j*6/4?
84
Find the common denominator of -30/739 and (-212)/9 - (205 - 222).
6651
Let n = 23895 + -23889. Let k = 223 + -27. What is the smallest common multiple of k and n?
588
Let t be ((-3866)/(-40))/((-140)/18424) + -10. Suppose 8*v = 3*v - 63650. Let g = t - v. Find the common denominator of g and 79/18.
450
Let l = 65 - 206. Let z = l + 159. Let m = 54 + -22. What is the least common multiple of m and z?
288
Let v be (-768)/(-54)*2155/27620. Let f = -2/1381 - v. Find the common denominator of -31/2 and f.
18
Let k(n) = n**2 - 11*n - 19. Let h be k(17). Suppose -p + h = -0*p. Let j = p + -77. Calculate the least common multiple of j and 1.
6
What is the least common multiple of (6/(-5))/(-5 + 17/(340/96)) and 6026?
18078
Let k = -528/5395202837 + -4208506075129142/3239792327604315. Let s = -8/10535 - k. Find the common denominator of 119/18 and s.
342
Calculate the common denominator of ((-10152)/672)/(-1) + -13 and -17/6405.
25620
Let z(j) = -13*j - 10*j + 3*j. Let y = -24497 + 24507. Calculate the least common multiple of z(-1) and y.
20
Suppose -22 = -4*m + 3*m + 3*f, -11 = -3*m - 2*f. What is the least common multiple of ((-80)/(-12))/(1/3) and m?
140
Let i = 14/2545 - 80333/76350. Find the common denominator of 19/730 and i.
10950
Suppose 0 = 16987*m - 16995*m + 1624. Calculate the lowest common multiple of 49 and m.
1421
Let c = -4711 - -5959. Calculate the lowest common multiple of 1248 and c.
1248
Let y(j) be the first derivative of j**4/4 - 7*j**3/3 + 15*j**2/2 - 16*j - 154. Calculate the smallest common multiple of 133 and y(6).
266
Let k(d) = -d**3 - 39*d**2 - 40*d + 44. Let v be k(-38). Suppose -6*x - 3*m = -x - 166, 0 = 4*x - 4*m - v. Calculate the smallest common multiple of x and 56.
224
Let p = -9195 - -91. Calculate the common denominator of 41/66 and p/(-4928) + 5/(-4).
462
Let o = -27376/34419 + -1/12516. Find the common denominator of -39/22 and o.
44
Let f(h) = h**2 - 15*h + 51. Let y be f(11). Suppose 148 = -y*u + 344. What is the lowest common multiple of u and 128?
896
Let u = 244/13 + -3269/143. Calculate the common denominator of u and -111/110.
110
Find the common denominator of ((-492)/740)/1 - (-16)/(-80) and ((-25)/(-4))/(-9*(-4)/(-96)).
111
Let y = -11 - -11. Let a be y + (2 - (7 - (7 + -4))). Calculate the lowest common multiple of ((-528)/(-154))/(a/(-14)) and 18.
72
Suppose -490*z - 8126 + 54092 = -7934. What is the least common multiple of z and (-1 + 1 - -31) + 2?
330
Let z = -2917/3 + 11567/12. Let b be (-29)/(-5) + (-4)/(-20). What is the common denominator of z and (b + -1)/((-12)/38)?
12
Let y(f) = f**2 - 131*f + 990. What is the lowest common multiple of y(8) and 3598?
10794
Let l = -472781 + 198567851/420. Calculate the common denominator of l and -139/420.
420
Let l = -10948 + 12516. Calculate the least common multiple of l and 20.
7840
Let f = -420 + 433. Let x(g) = -6*g**3 + 79*g**2 - 13*g + 11. What is the least common multiple of 445 and x(f)?
4895
Let j(d) = 101*d + 437. Calculate the least common multiple of j(-4) and 645.
7095
Suppose -14*g + 390 = -8*g. Let u = g + -57. Calculate the least common multiple of 16 and (-4)/u*24/(-1).
48
Suppose 0 = d - 10*y + 7*y - 54, 5*d = y + 214. Calculate the least common multiple of 1 + d/(-12) + 966/12 and 117.
234
Suppose -4208*v + 4204*v = -184. Calculate the least common multiple of v and 437.
874
Let w = 202 + -43. Let a = -86 + w. What is the lowest common multiple of 4/((-168)/(-474)) - (-8)/(-28) and a?
803
Let b be 1/(-4) + (-485)/(-20). Let n = -151 + 241. Find the common denominator of (1*b/n)/((-18)/(-130)) and 67/2.
54
Suppose 4*d - 512 = 4*m, -4*d + 0*d + 5*m + 514 = 0. What is the smallest common multiple of 427 and d?
7686
Let y(r) = -2*r**3 - 6*r**2 - 4*r - 10. Let w be y(-3). Suppose w*v - 212 = 4*k, 0 = -0*v - 3*v - 3*k + 318. Calculate the smallest common multiple of 14 and v.
742
Suppose s - 16 = 20. Let m = 12 - s. Calculate the common denominator of 9/8 and 412/m + -2 - -3.
24
Let b = -126 - -96. Find the common denominator of 4 + 3 + 214/b and 58/35.
105
Let c = -14288 - -14326. What is the lowest common multiple of 665 and c?
1330
Let i = -610222/72261 - -2/8029. What is the common denominator of i and 85/1209?
3627
Calculate the common denominator of 13/150 and (-126)/(-77) - (-40613)/(-29733).
7950
What is the least common multiple of (((-780)/(-75))/13)/(2/5) and 556?
556
Let y(s) = -s**3 + 5*s**2 - 5*s + 2. Let b be y(3). Let d be 0/(-1*(-4 + b)). Suppose 2*w - 30 + 0 = d. Calculate the smallest common multiple of 33 and w.
165
Let p = -465241/120 + 23171/6. Let t = 74/5 + p. Calculate the common denominator of t and -47/4.
8
Let s = 2231/6908 - 3/628. What is the common denominator of s and 283/390 + 300/(-225)?
1430
Suppose 177*s = 745*s - 199368. Let i = -2 - -3. Calculate the lowest common multiple of s and i.
351
Let t(u) = -4*u**2 - 109*u + 177. What is the smallest common multiple of 1215 and t(-28)?
37665
Let p(h) = -h**2 + 23*h + 144. Let w be p(28). Suppose 183 = w*a + 171. Calculate the least common multiple of a and ((-3)/2 - -2)*2.
3
Let a be (12 + -6)*1 - 3633. Calculate the common denominator of -59/198 and a/(-156) - 6*1.
396
Let b(m) = -36*m + 719. Let z(l) = -12*l + 239. Let n(j) = 2*b(j) - 7*z(j). Calculate the least common multiple of 30 and n(25).
390
Let c(q) = 43*q + 70. Let f be c(-2). What is the least common multiple of 48 and f*1*(-3)/1?
48
Let z = -92763597/7 + 1078655274833/81396. Let m = 46/969 - z. Calculate the common denominator of m and (-6)/56*(-22)/(-6).
252
Suppose 5*s = 5*k - 15, 2*s + 20 = -7*k + 2*k. Let o = 50816/15 - 3389. Calculate the common denominator of 3/(-5)*(k + (-20)/(-4)) and o.
15
Let v(j) = j. Let i(u) = -11*u - 10. Let q(b) = i(b) + 2*v(b). Let n be q(10). Calculate the common denominator of ((-335)/n + -2)*6 and 31/7.
70
Let h = 3490 + -1952. Let n be h/(-10) - (15 + -13). Let q = n - -2841/20. Calculate the common denominator of -67/10 and q.
20
Let y(z) = 2*z**2 - 17*z + 24. Suppose 3*i - r - 329 = 0, -r - 113 = -i + r. What is the least common multiple of i and y(7)?
327
Suppose -135*m - 61*m = -18032. What is the lowest common multiple of m and 206?
9476
Suppose 13*u = u - 87*u + 1386. Calculate the lowest common multiple of u and 6.
42
Calculate the smallest common multiple of 20/14 - (3 + 42458/(-91)) and 180.
5580
Let j = -514 + 519. Suppose -z - 4*g + 32 = 0, 0*z + 2*g = j*z - 226. Calculate the smallest common multiple of 136 and z.
1496
Suppose -65*g + 69*g + 312 = 5*b, -2*g = g + 24. Let z(i) = 2*i**2 - 6*i + 4. What is the smallest common multiple of b and z(6)?
280
Suppose 5*w + 12*d = 8*d + 688, -5*d - 715 = -5*w. Calculate the lowest common multiple of 84 and w.
420
What is 