1188
Let s = -245 - -305. Calculate the smallest common multiple of 25 and s.
300
Suppose 24*j - 27*j = -234. What is the smallest common multiple of 18 and j?
234
Suppose -36 = 2*x - 2*b, -34 = 3*x + b + b. Let o be (-2)/x + 615610/280. Let y = o + -2188. What is the common denominator of 32/11 and y?
44
Suppose 9*x = 87 + 75. What is the smallest common multiple of x and 6?
18
Let m = 80483/24 + -3353. Let t = 43/8 + m. Calculate the common denominator of 3 - (-3*1 + (-688)/(-32)) and t.
6
Let o = -526 + 530. What is the lowest common multiple of o and ((-40)/(-15))/(1/3)?
8
Let n = -7036 - -337619/48. What is the common denominator of -89/48 and n?
48
Let x(t) = 2*t**2 + 2*t + 1. Let o be x(-2). Suppose -o*r + 30 = -2*r. Suppose -6*c = 3*c - 54. Calculate the least common multiple of r and c.
30
Suppose 25*n + 780 = 35*n. What is the lowest common multiple of n and 20?
780
Let f be 3824/136*(-1)/2. Let w = f - -3267/340. Calculate the common denominator of (-2)/(-7) - (-249)/(-42) and w.
140
Suppose -2*k = p - 276, -4*k + 3*p + 292 = -2*k. Calculate the common denominator of (-1090)/k - (-2)/7 and 43/3.
6
Suppose 2 = -x, -j + 20 = -2*x - 6. Let c(k) = k**3 + 2*k**2 + 4. Let v be c(-4). Let i = 42 + v. Calculate the smallest common multiple of j and i.
154
Suppose -o + 75 = 2*o. Suppose 5*j + 5 - o = 0. Suppose -12 = -u + 2*p, 5*u - 22 = -j*p + 80. What is the lowest common multiple of u and 10?
90
Let a = -1/7064 - 335529/77704. Let j = 17617/8 - 2195. Calculate the common denominator of j and a.
88
Calculate the common denominator of 68/(-6) + (-2)/(-4) and 15/(-3) + (-3660)/(-250) + -11.
150
Suppose 0 = -3*b - 2*p + 53 + 7, 3*b = 2*p + 48. Suppose 2*z - 4*y + y - 6 = 0, z + 4*y - 14 = 0. What is the smallest common multiple of z and b?
18
Let s = -18773908277/191430 + 2647703/27. Let g = 36/709 - s. Let m = -76775/12 - -6393. Calculate the common denominator of g and m.
60
Let j = 2748 - 1334. Suppose 0 = 2*v - 3*v + 4*p + j, 5618 = 4*v + 3*p. Let c = -18287/13 + v. What is the common denominator of 44/3 and c?
39
Suppose -780 = -27*d + d. Suppose -2*n = 3*n - d. Let p = 1 - 0. What is the smallest common multiple of n and p?
6
What is the lowest common multiple of 9 and 2 - 0 - (-34 + (-6)/1)?
126
What is the smallest common multiple of (-4)/3*66/(-4) and ((-16)/(-4))/(2/3 - 0)?
66
Suppose -37 - 28 = 5*d. Let c = d + 19. What is the least common multiple of c and 8?
24
Suppose -t - 3*d - 1 - 8 = 0, t - d - 7 = 0. Calculate the least common multiple of 73 and t.
219
Suppose -4*q + 3*t = -19, 1 - 2 = t. Let u = -8 - -26. What is the smallest common multiple of q and u?
36
Suppose 2 = 2*i, -l - l = -5*i - 739. What is the smallest common multiple of 2 and l?
372
Suppose -g + 35 = -4*b - 11, g - 43 = b. Calculate the least common multiple of g and 9.
126
Let t = -2/146003 + 25460/218858497. Let y = -370319/643071 + t. Calculate the common denominator of 109/30 and y.
330
Let i = -211 - -358. What is the common denominator of ((-14)/i)/(6/(-98)) and 131/6?
18
Let m(u) = u**3 + 11*u**2 + 16*u + 7. Calculate the lowest common multiple of 7 and m(-5).
77
Let a(p) = -p**3 + 3*p**2 - 3*p - 1. Let m be a(3). Calculate the common denominator of (58/m)/(36/10) and -19*(-3 - (-14)/4).
18
Let a = -24 - -35. Suppose 0 = -12*q + 56 + 64. What is the smallest common multiple of a and q?
110
Let b(z) = -z**3 - 3*z**2 - 3*z - 7. Let y be b(-3). Suppose 3*r + 111 - 351 = 4*u, -y*r = -5*u - 153. What is the smallest common multiple of 10 and r?
420
Suppose -7*z - 3366 = -58*z. What is the smallest common multiple of 6 and z?
66
Let u(f) = f**3 + 4*f**2 - 3*f - 2. Let h be u(-4). Let x be 2/(-5) + 74/h. Let t = -3 + x. Calculate the smallest common multiple of 4 and t.
4
Calculate the common denominator of 41/132 and 15/40 + (-248)/(-96).
264
Let l = 1 - -9. Let q be (-24)/(-14) - l/(-35). Calculate the common denominator of 125/6 and 10/60*(-1)/q.
12
Let j be (2 + -2)/((-4)/4). Let c = -65 + 32. Calculate the smallest common multiple of 8 and c/(-9)*(3 + j).
88
Let g = 177583/18 - 956161/72. Let i = g - -3415. What is the common denominator of i and -19/3?
24
Let n = 5 + 10. Let k = n - 4. Let t = k - -7. Calculate the smallest common multiple of 22 and t.
198
Let k = 37569111/58093 + 66/8299. Let t = 641 - k. What is the common denominator of t and 45/(-12)*(-12)/(-50)?
70
Let k(i) = 4*i - 10. Let j be k(2). Suppose d + 2*d + 47 = 4*m, 5*m - 3*d = 55. What is the least common multiple of 2/8*j*-22 and m?
88
Suppose -2931 = -13*s + 2152. What is the lowest common multiple of s and 92?
1564
Let b = 381 - 365. What is the least common multiple of 5 and b?
80
Let v be (-16)/(-40) + (-88)/(-5). Suppose 5*x + 0*b - 66 = -4*b, 2*b - v = -x. Calculate the smallest common multiple of x and 12.
60
Let l be ((-74)/99 - -1)*8255013/(-34). Let m = l - -61313. Find the common denominator of -49/18 and m.
198
Let c(q) = 22*q - 156. What is the lowest common multiple of c(8) and 134?
1340
Let j = -1413 - -1532. What is the least common multiple of j and 21?
357
Let q be (-4)/18 - 28145/(-90). Let g = 4301/14 - q. Let w = 4441 + -40034/9. Find the common denominator of g and w.
63
Suppose 22 = 2*n - 254. Let c = n + -261/2. What is the common denominator of c and 43/5?
10
Suppose -7*w - 15 = -10*w - 3*s, 14 = 2*w - 2*s. Calculate the smallest common multiple of 72 and w.
72
Let j = -135 + 2026/15. Let d = -769/60 + j. What is the common denominator of d and -28/15?
60
Find the common denominator of 21/136 and (-7)/(-1) + (9387/(-98))/9.
952
Suppose 2*d - 6 = -8. Calculate the smallest common multiple of -2*((-31)/(-2)*d + -4) and 24.
312
Let f = -4197041/3587300 - 1/35873. Calculate the common denominator of f and -123/20.
100
Let i = -30 - -33. Suppose -3*z - i*h + 30 = -2*h, 4*z - h = 40. Suppose d + 5*x - 17 = -3*d, 2*x - 5 = -d. Calculate the least common multiple of z and d.
30
Let o = -1203 - -12091/10. What is the common denominator of -101/12 and o?
60
Let g be (-4 - (-4 + 2))*(-5 - -3). What is the common denominator of 249/4*(-2)/15 and ((1 + -3)*-97)/g?
10
Suppose 0 = -t + 4*m + 11 + 12, -t + 19 = -3*m. Suppose -2*u + 18 = 4*r, t*r - 3*r = -5*u + 39. What is the smallest common multiple of 7 and u?
7
Let n = 3519/10 + -354. What is the common denominator of n and -44?
10
Suppose 0 = 3*h + 12 - 0. Let r = h - -18. Suppose -7*c + 9 = -19. Calculate the lowest common multiple of r and c.
28
Let j(k) = k - 9. Let m(q) = q. Let v(h) = 2*j(h) - 22*m(h). What is the smallest common multiple of 10 and v(-2)?
110
Let z(c) = 10*c**2 - 5*c - 10. What is the smallest common multiple of z(4) and 104?
520
Find the common denominator of 267/(-210) + (-14 - -15) and 161/30.
210
Suppose 2*q + q = -3*t + 1038, 5*t = 5*q - 1690. Calculate the lowest common multiple of q and 12.
684
Let v = 1/23066 + 14162509/345990. Let z = 12443/330 - v. Let l = -28/607 + 61923/13354. What is the common denominator of l and z?
22
Let w be 2 + ((-34)/(-4))/(1/(-2)). Calculate the least common multiple of (w/30)/(2/(-40)) and 20.
20
What is the common denominator of 145/24 and (12/(-32))/(4 + (-4892)/1160)?
168
Let z = 519 - -127. Calculate the lowest common multiple of z and 12.
3876
Calculate the least common multiple of 8 and (48/(-15))/(4/(-30)).
24
Let p be (-28)/182 + (-15)/(-13). What is the least common multiple of 2 - p - 4 - -4 and 13?
13
Suppose 0 = 4*q + 3*r - 258, -3*q - 4*r + 208 - 18 = 0. Calculate the least common multiple of 27 and q.
594
Let y(z) = z**3 + 6*z**2 + 4*z + 2. Calculate the lowest common multiple of y(-4) and (-146)/(-10) - (24/15 - 1).
126
Let a = -149 + 146. Calculate the common denominator of (1/a)/(132/(-1746)) and -81/20.
220
Find the common denominator of -89/114 and ((-11752)/1300)/(24/10).
570
Let d be 16/(-4) + 49610/28. Let m = d + -1769. What is the common denominator of m and -21/4?
28
Let f = 1393729/46 - 30297. Find the common denominator of 103/20 and f.
460
Let p(m) = -m**2 - 8*m + 3. Let r be p(-8). Suppose 0 = 4*h - r*h - 11. What is the lowest common multiple of h and 4?
44
Suppose -4*h - 4*n + 12 = 0, h + 3*n - 5 = -0*h. Find the common denominator of (-357)/(-36) - -2*1 and (-2736)/(-704)*h/3.
132
Suppose 0*a + a = -3*j + 35, 135 = 3*a + 3*j. W