2
What is the common denominator of (1/(-4))/((-2)/19 + (-210888)/1919) and -37/40?
440
Let i(s) = -s**3 - 9*s**2 + 12*s - 74. What is the least common multiple of i(-11) and 343/14 - (-1)/(-2)?
72
Let k = -59937 - -60072. Let q = -1 + 28. What is the smallest common multiple of k and q?
135
Suppose 4*u - 5*u = -6524. Suppose -4*x + 2*m = u, m = x - 0*x + 1629. Let p = -14647/9 - x. Find the common denominator of 67/21 and p.
63
Suppose 4 - 1 = 3*s. Let t(x) = 6*x - 2. Let z = 1211 - 1201. Calculate the least common multiple of z and t(s).
20
What is the common denominator of (7/3472)/(1/18) and (0 + 0 - (-3)/2)/(1143/38481)?
248
Let j = 85363 - 5804739/68. Let n = 6257/455 - 3/1820. What is the common denominator of n and j?
68
Suppose -f - l + 13 = 0, 20 = -0*l + 4*l. Suppose f*d - d = 2*d. Suppose d = 2*v - 7*v + 65. What is the smallest common multiple of 9 and v?
117
Calculate the common denominator of -24 and (-4131)/5496 - (-228)/304.
1832
Let x(a) = a + 20. Let b be x(-17). Suppose 5*y - 10 = -b*q, 2*y = 2*q - 9 - 3. What is the lowest common multiple of 25 and q?
25
Let z(o) = 45*o + 195. Let c be z(9). Suppose -82*m + 58*m = -c. What is the lowest common multiple of m and 20?
100
Let v = -48152 - -7656140/159. Find the common denominator of v and -13/1431.
1431
Let w = -318 + 326. Suppose 4*s = -5*z + w, z = 3*s - 1 - 5. Suppose 6 = -2*a, -5*h + 109 = -5*a + 2*a. What is the smallest common multiple of h and s?
20
Find the common denominator of -11/30 and (-846)/6975*1/6.
4650
Suppose 25 = -5*j + 230. What is the lowest common multiple of j and 123?
123
What is the common denominator of -4/25 and 12/10080*6*242?
350
Let d be (-10)/75 - (-4)/(-120)*47876. Find the common denominator of (-3)/((-285)/(-10)) - 4234/d and -39/98.
294
Calculate the least common multiple of 10 and (-7632)/(-40) + -6 - (-3)/15.
370
Let k be -2 + ((-3)/508)/((-6)/2026). Let s = k + 31003/2540. Find the common denominator of 37/50 and s.
50
Suppose 0 = -3*n + g + 22 - 21, n - 5*g + 23 = 0. Find the common denominator of 101/(-14) + n + 30/5 and -1*1/(20/31).
140
Let i = -3477 + 3497. Calculate the smallest common multiple of 1332 and i.
6660
Let o = 30 - 28. Suppose 1571 = -3*t + o*w, 0*w = 2*t + 5*w + 1060. Let v = t + 4209/8. Calculate the common denominator of -115/12 and v.
24
Let z = -31709/3056 + 3/3056. What is the common denominator of 89/396 and z?
792
Suppose 0 = 19*f - 7*f + 48. Calculate the common denominator of (-94)/24 + -7 - f and (1/(14/(-15)))/(-3).
84
Let d be 45*61/8 + (-2)/16. Suppose -17*a + d = 3. Calculate the smallest common multiple of 40 and a.
40
Let s = 1784/9 + -36067/180. Suppose -359*k + 1880 = -364*k. Let n = k + 1435/4. What is the common denominator of n and s?
20
Let g be (-526)/(-6) + 1*(-20)/30. Calculate the common denominator of -61/16 and (g/36 - -2) + (-5)/(-15).
16
Let d = 519/184 + -246883/83352. What is the common denominator of 121/24 and d?
3624
Let s(y) = -y**2 - 14*y - 37. Suppose 26*z + 125 = z. What is the smallest common multiple of s(z) and 108?
216
Let h = 75733942/315 + -240425. What is the common denominator of h and -61/35?
315
Let j(z) = 1728*z - 10164. What is the smallest common multiple of j(6) and 600?
10200
Let f(t) = t**3 + 9*t**2 - 36*t + 35. What is the least common multiple of 756 and f(-11)?
756
Let n be 2983532664/(-74208) - (1 - 1). Let t = n + 40205. Let u = -8513/30920 - t. Find the common denominator of u and 23/8.
40
Let i = -70893377/14088 + 100/1761. Let a = i - -5024. Find the common denominator of a and 6 - (-7)/((-462)/75).
88
Suppose 0 = -26*j + 17620 + 6872. What is the smallest common multiple of j and 21?
6594
Let r = -703789/693 + 11184/11. What is the common denominator of 83/1834 and r?
16506
Let j(f) = 23*f + 824. What is the smallest common multiple of 216 and j(8)?
3024
What is the common denominator of 103/50 and (122/50)/(((-7232)/40)/4)?
5650
Suppose 2*j = 16*j - 42. Suppose g - 47 = 5*q - 6*q, j = g. What is the smallest common multiple of q and 36?
396
Let c(a) = a**3 - 24*a**2 - a + 29. Let w be c(24). Calculate the smallest common multiple of 24 and -3 + (-330)/(-25) - 1/w.
120
What is the common denominator of (-7)/140*(4/(-20) + (-281)/270) and -88/315?
7560
Suppose -4*f + 792 = -4*a - 356, 5*f + 5*a = 1415. What is the common denominator of (f/21)/(1/(21/6)) and 54/13?
26
Let j = -134 - -2051. Calculate the lowest common multiple of j and 15.
9585
Let y(v) = -9*v**3 + 2*v**2 - 3*v. Let a(q) = 19*q**3 - 4*q**2 + 7*q - 1. Let k(h) = 2*a(h) + 5*y(h). Calculate the least common multiple of 8 and k(-1).
8
Suppose 0 = -4*m - 4*m + 384. Let u = m + -45. Suppose 4*y = -y + 20, 2*d + u*y = 36. What is the least common multiple of d and 188?
564
Let p = 248719/1059318 + -147/503. Calculate the common denominator of 23/24 and p.
8424
Let w(x) = 57*x + 3461. Calculate the smallest common multiple of w(-45) and 224.
896
Let h(m) = m**2 + 7*m - 250. Suppose 89*g + 65 = 94*g. Calculate the lowest common multiple of h(g) and 6.
30
Let l(g) = -g**2 + 16*g - 10. Calculate the least common multiple of ((-36)/14)/(-3)*(-79)/((-1896)/672) and l(11).
360
Suppose b + 3 = 0, 2*b + 3 = 3*d - 18. Let o be (1/(-4) + (-341)/44)*-2. Let h = o - d. What is the lowest common multiple of 11 and h?
11
Let z = 8284481/108 + -76709. Let j = -5921/2384 - -100/149. What is the common denominator of z and j?
432
Suppose 4*m = 8*m + 3*u - 14, 5*m - 2 = 4*u. Suppose -d - m*w + 22 + 32 = 0, 4*d = 5*w + 151. Calculate the least common multiple of d and 8.
88
What is the common denominator of 9/(-3564)*-4305 - (18 + -8) and -19/32?
1056
Calculate the smallest common multiple of 297 and (1404/(-432))/(((-3)/30)/((-66)/(-15))).
3861
Let u = 305/2 + -1379/9. Calculate the common denominator of u and 1/9604.
86436
Suppose -19*w - 13*w - 118 = -2358. What is the least common multiple of ((-2)/6)/(1/(-6)) and w?
70
Let i(r) = -r + 5. Let a be i(0). Let p = -772/3 + 242. Calculate the common denominator of p and a/25 + (-247)/(-90).
18
Suppose -2*r = -a - 34, 8*r = 13*r + 20. Let w(m) = -m**2 + 3*m + 6. Let t be w(-6). Let f = a - t. What is the smallest common multiple of f and 4?
12
Let b = 471911/24 + -19658. What is the common denominator of b and 0 + -2 - 94/60?
120
Let o(k) = k**2 + 25*k + 132. Calculate the lowest common multiple of (-1 + 3 - 3) + 19 and o(-6).
18
Let b be 49838/70 + 0/(-9). Let c = 713 - b. Find the common denominator of -8/7 and c.
35
Let q(o) = -13*o + 42. Let b be q(6). What is the common denominator of (-308)/189 + (-8)/b and -34/81?
81
Suppose 5*n - 30 = 5*c, 2*n = -0*n - 2*c - 8. Let z(u) = 3*u. Calculate the smallest common multiple of 1*(-6)/(-15)*(17 - 12) and z(n).
6
Suppose -8*j = -248 + 184. Suppose -3*q + x = -2*x - 15, 5*q + 2*x = -10. Calculate the least common multiple of j and 4/(q + (-8)/(-6)).
24
Calculate the lowest common multiple of 1068 and ((-20)/25)/((-174)/(-180) - 1).
2136
Let b = 13 - -12. Let g = b - -13. Suppose -20 = -2*q + 2*x, -3*q + x + 4*x = -g. What is the lowest common multiple of 3 and q?
6
Suppose 4*l + 2*d - 5*d - 21 = 0, -2*d = 5*l - 9. Suppose 7*t - 12 = l*t. What is the least common multiple of -2 + 2 + -3 - (2 - 38) and t?
33
What is the common denominator of ((-42)/980*-259)/3 and -127/260?
260
Let u be 0 + 1 - (2 + -22 - 4). Let i = u - 23. Suppose 0 = -4*k + i*k + 3*l + 45, 5*l + 40 = k. What is the common denominator of -79/10 and k?
10
Suppose -170*h = -175*h - 1520. Let f = h - -316. What is the least common multiple of f and 20?
60
Let c = -375607/30 + 12519. What is the common denominator of -53/1668 and c?
8340
Let b be (4 + 12062/(-3016))*(-14 + 0). Let y = b + -21569/754. Let n = -75/26 + y. Find the common denominator of n and 41/8.
8
Let k = 303 + -175. Let x(m) = -1502*m + 45140. Calculate the lowest common multiple of x(30) and k.
640
Let a(i) = i**3 + 5*i**2 - 7*i - 10. Let u be a(-4). Suppose -u*p + 6475 = -29*p. What is the common denominator of p/(-400) + 4 + (-1)/(-5) and -111/10?
80
Let p(y) = 7*y**2 + 2*y + 6. What is the lowest common multiple of (5 + 0 - 3)/(-1) + 5 + 74 and p(-3)?
693
Suppose -8 = -2*z + 56. Suppose 2*u + h - 173 = -62, u = -3*h + 53. Calculate the least common multiple of u and z.
224
What is the 