0 + 1. Suppose h*x = 5*x. Calculate the common denominator of (x - 1/2)*-37 and 133/18.
18
Let k be 2/(-5) - 132/(-30). Suppose -2*l - 4*x = -3*x - 36, 18 = l + k*x. What is the lowest common multiple of l and 2?
18
Let h(p) = p**2 - 1. Let x be h(4). Suppose -x = -0*s - 5*s. Suppose 4*r = s*y - 7*y + 108, 5*y = 2*r - 19. Calculate the lowest common multiple of 12 and r.
132
Let q = 7 + -3. Suppose 2*v - 6*v - 19 = j, 4*v = 2*j + 14. Let a = j + 23. What is the smallest common multiple of q and a?
12
Let q(p) = -6*p**3 - 2*p**2 - 2*p - 1. Let m be q(-1). Suppose 5*v - 100 = -5*x, -3*x = -m*x. What is the lowest common multiple of 18 and v?
180
What is the smallest common multiple of 6 and 8*2 + (-2 - -1)?
30
Let f = -21073/6 + 3522. What is the common denominator of -37/12 and f?
12
What is the common denominator of -29/6 and (-78)/(-32)*6 - 2?
24
Let l = -1505/104 + -3/104. What is the common denominator of -2 and l?
2
Find the common denominator of 1276/144 + (-9)/12 and -56/9.
9
Let i = 72 + -44. Let g = -3 + 17. Suppose -3*o = 2*n - i, -o + 0*o = -4*n - g. What is the least common multiple of 16 and o?
80
Let x = -15847/12 + 1323. Find the common denominator of -83/4 and x.
12
Suppose 2*s + 2 = 3*b, -6 - 4 = -2*s. Suppose -z + 36 = -0*z + 5*d, b*z = d + 39. Calculate the smallest common multiple of 7 and z.
77
What is the common denominator of (-1818)/126*14/48 and 47/2?
24
Let y be 5625/(-105) + 3/(-7). Calculate the lowest common multiple of 4 and 4/14 - y/7.
8
Suppose 4*s + 24 = 6*s. What is the lowest common multiple of 16 and 9/(14/s + -1)?
432
Let r = -2 - -2. Suppose -3*u - 4*m - 2114 = r, -u + 3*m - 696 = -0*u. Let c = u + 6917/10. What is the common denominator of 4/11 and c?
110
Suppose -3*r + 10*l = 5*l - 49, -5*r + 4*l + 60 = 0. Suppose -5*q + 0*q = -70. Calculate the smallest common multiple of q and r.
56
Suppose s = -2*y + 12, -6*y - 28 = -9*y - 4*s. Suppose 0*z = -n - z + 4, 4*n - 12 = -5*z. What is the lowest common multiple of y and n?
8
Let l be -5 + (-4)/((-4)/(-2)). Let i = l + 1. Suppose 5*z + b - 23 = 5*b, -7 = -3*z - b. Find the common denominator of i and z.
1
Let k(z) = -2*z - 5. Let n be k(-9). Suppose -f + 2*t - n = -3*t, 9 = 3*f + t. What is the smallest common multiple of f and 1/(-3) + 61/3?
20
Let p = 8 + -11. What is the common denominator of 71/4 and (p/(-40))/((-30)/(-25))?
16
Let k = -47827/16 - -2985. Let t = 69909/22 + -3179. What is the common denominator of k and t?
176
Suppose 0 = 3*k - 7*k + 68. Suppose -2*h - 78 = -5*h. Let r = h - k. What is the least common multiple of r and 10?
90
Suppose 2*l = -3*v + 8*v + 17, -l = -3*v - 10. Find the common denominator of -40/9 and -2 + v/(30/(-13)).
90
Suppose -4*u + u + 5*j + 91 = 0, 2*j + 85 = 3*u. Suppose 23 + u = 5*y. What is the smallest common multiple of y and 8?
40
Let y be 0/(-2) + 11173/(-1110). Let h = y - 26/111. What is the common denominator of h and -4/9?
90
Let d = 23/135 - 12337/1890. Calculate the common denominator of 57/22 and d.
154
Let o be ((-4)/(-4))/((-2)/24). What is the lowest common multiple of (-123)/o - 1/4 and 3?
30
Find the common denominator of (-444)/(-18)*(-2)/16 and -19/36.
36
Let i = -37 - -43. Calculate the lowest common multiple of i and 14.
42
Let h = -26867/6 + 4464. What is the common denominator of -23/22 and h?
66
Suppose 11*f = -24 + 266. What is the smallest common multiple of 4 and f?
44
Let n = -4 - -6. Suppose n*t - 5*t = -27. Suppose -6*m + 3*m = -t. Calculate the smallest common multiple of m and 10.
30
Suppose -22 + 4 = -2*x. Find the common denominator of x and -61/2.
2
Let m = 34718851/81385 - 2/16277. Let f = m - 416. What is the common denominator of (-57)/4*1/(-2) and f?
40
Suppose -o - 7*r + 4*r - 3 = 0, -3*r = -3*o + 3. Let p = o + 2. Calculate the least common multiple of p and 8.
8
Let i be (2/(-4))/(1/(-4)). Find the common denominator of (76/(-80) + -2 - -2) + -2 and -1 + (i - 134/24).
60
Suppose q = 3*d + 4207, -4*q - 2*d + 16566 + 220 = 0. Let h = q + -8657/2. Let z = h - -161. Calculate the common denominator of 17/14 and z.
14
Suppose z - 3*z = 10. Let a = z - -8. Suppose -20 = -4*f + 3*f - 4*v, 0 = a*f - 4*v + 4. Calculate the smallest common multiple of 4 and f.
4
Let d be 6*(-2)/4*1. Let x = 15 + d. What is the least common multiple of x and 8?
24
Suppose -3*s = -4*s - g - 8, 0 = -2*s - 5*g - 31. Let o(t) = 10*t - 3. Let h be o(s). Calculate the common denominator of -87/2 and 0 - 1 - h/15.
10
Let t = 229143/56 + -4092. Find the common denominator of 29/4 and t.
56
Suppose o + 1 - 4 = 0. Suppose -h = 3*h - 24. What is the least common multiple of o and (-2)/(h/(-33) - 0)?
33
Suppose -5*l + 110 = d - 4*d, -88 = -4*l + 3*d. Let h(s) = -s**3 - 4*s**2 - 7. Suppose -2*y = 5 + 5. What is the least common multiple of h(y) and l?
198
Let z be 12/(-14)*(-49)/14. Find the common denominator of z + 492/(-80) + 0 and -5/6.
60
Let x = 30541/260 + -45/52. Let v = 5182/45 - x. Let j = 13/12 - 233/60. Find the common denominator of v and j.
45
Let y = -5/989 + 40599/9890. What is the common denominator of ((-2)/(-6))/(36/(-2106)) and y?
10
Let b = 24461/22 + -1111. Calculate the common denominator of b and 119/18.
198
What is the smallest common multiple of 21 and (11 + (-1 - 0))*12/15?
168
Let a = 18 + -10. Calculate the least common multiple of a and 20.
40
Suppose -4*j - 45 - 7 = 0. Let d = -98087/18 + 5456. Calculate the common denominator of j/2 - 2/(-3) and d.
18
Let s = -7933/8 + 993. What is the common denominator of 3/11 and s?
88
Suppose 135 = -13*x + 525. What is the lowest common multiple of 9 and x?
90
Suppose -5*z + 20089 = -37441. Let m be z/24 + (-6)/(-3). Let q = 1881/4 - m. What is the common denominator of 50/7 and q?
42
Let i = 26 + -4. Find the common denominator of -14/11 and ((-2)/(-32))/((-11)/i).
88
Let w(v) = -v**3 - v**2 + v. Let b be w(1). Let u(s) = s**2 + s + 1. Let q be u(b). Suppose -5 = -3*n + q. What is the lowest common multiple of n and 4?
4
Let n = 41 - 33. Suppose 0 = -5*i + 10. Suppose -l + i + 4 = 0. What is the smallest common multiple of l and n?
24
Suppose -i = -4*i + 12. Let k be i/6 - (-52)/(-6). Let n(s) = s**2 + 6*s - 8. What is the least common multiple of 5 and n(k)?
40
What is the common denominator of 77/24 and 1956/40 + 4/(-10)?
24
Let f = 68758467641/774 - 88835213. Let j = 4/387 - f. Let u = 3/377 + -27533/1508. What is the common denominator of u and j?
4
Suppose -2*v = -45 + 9. Calculate the lowest common multiple of v and 14.
126
Suppose -53 = 5*b - 123. Calculate the smallest common multiple of b and 4.
28
Let a = -44279/40 + 5478/5. Let y be (4922/(-4))/((-12)/8). Let h = 14867/18 - y. Find the common denominator of a and h.
72
Let b be (-2*1)/((-2)/20). Suppose -n - b = -3*n. Let u = 6 + 0. Calculate the smallest common multiple of n and u.
30
Let h = 10 - -2. Calculate the least common multiple of 15 and h.
60
Let y be 2 + (-306)/20 - -2. Let h = -91/20 - y. What is the common denominator of 26/7 and h?
28
Let y = 82033/12 - 6824. Calculate the common denominator of y and -17/12.
12
Calculate the common denominator of 6/32*(-88)/60*18 and -43/24.
120
Let u(v) = -v + 7. Let y be u(6). Suppose d + 14 = -4*q + 1, -3*q = 2*d + y. Calculate the least common multiple of 9 and d.
63
What is the smallest common multiple of 11 and (-1 - -5)*(-20)/(-8)?
110
Suppose 4*v - 1 - 11 = 0. Suppose -g = -23 + 14. Calculate the least common multiple of g and v.
9
Suppose 0 = 5*w - 4*o + 5*o - 1043, -214 = -w - 2*o. What is the common denominator of (-8)/52 + 1410/w and -113/18?
72
Let f = 5347/4 - 1358. Find the common denominator of 1/42 and f.
84
Suppose 5*a + 39 - 9 = 0. Let p(f) = -f - 5. Calculate the lowest common multiple of 10 and p(a).
10
Suppose r - 32 = -3*r. What is the smallest common multiple of r and 2?
8
Suppose -24 = -5*s - 4*w - 3, -s + 4*w - 15 = 0. Calculate the lowest common multiple of s and 6.
6
Let p be 22/(-18) + (0 - -1). Let l = p - 149/99. What is the common denominator of 158/(-12) + (3 - 2) and l?
66
Suppose 24 = -3*x + 3*w, 2*x - 4*w + 12 = -6. Let y = 6443/536 - -7/67. Calculate the common denominator of (-2)/x - 670/(-56) and y.
8
Let z = -15803/6724 - -2/8405. Calculate the common denominator of z and -23/18.
180
Let r = 112 