
Let z = 46 + -34. Calculate the lowest common multiple of 21 and z.
84
Let r = 5 - -2. Calculate the lowest common multiple of 2 and r/((-14)/(-48)) - 2.
22
Let y = 1003/2 - 522. Calculate the common denominator of 1/174 and y.
174
Suppose 25 = 3*u - 2*y - 42, -5*y = 5*u - 120. Suppose -3*h - s - 6 = -4*s, -h = 4*s - u. Calculate the least common multiple of 1 and h.
3
Let n = -17607/7 + 2509. What is the common denominator of -9/8 and n?
56
Suppose 0*h + 191 = 3*h + 4*k, 3*k - 62 = -h. Find the common denominator of 97/6 and (h/50)/(1/(-2)).
30
Calculate the common denominator of -43/30 and (-2)/10 + -254*(-4)/(-720).
90
Let z = -8 - -14. Suppose -3*x + 3 = -z*x. Find the common denominator of (-765)/(-12)*x/6 and -101/2.
8
Calculate the lowest common multiple of (-3 - (-26)/8)*4 and 7.
7
Suppose -5*y = -22 + 2. Find the common denominator of 47/4 and (y/36)/((-2)/(-141)).
12
Let r be (1383/48)/((-10)/1). Let z = r + 249/32. Calculate the common denominator of (-231)/36 - 3 - (3 + -1) and z.
60
Let x = 1500 + -10532/7. Calculate the common denominator of x and 50/23.
161
Suppose -5*p + 47 = 3*k - 14, 65 = 4*p - 3*k. Suppose p = 4*l - 14. Let g(i) = 4*i + 26. Calculate the lowest common multiple of g(-6) and l.
14
Suppose 2*h - 2 = 6. Suppose -2*s - 32 = -h*y + 2*s, 0 = -4*y - 4*s + 48. Calculate the least common multiple of 10 and y.
10
Let q = 10767812604 + -136643542304243/12690. Let g = q + 374/1269. Let p = -38/15 - g. Find the common denominator of -43/2 and p.
2
Find the common denominator of 162*(-1 - 231/(-228)) and 121/12.
228
Calculate the smallest common multiple of 6/2 + -8*(-4)/16 and 5.
5
Let q = 16 - 0. Let x = q + -6. What is the least common multiple of x and 11?
110
Let d = 3/2212 + -1177/634844. Let z = -88399/6027 - d. Calculate the common denominator of 39/10 and z.
30
Let k be ((-2)/(-8144))/((-21)/(-890942)). Let c = k - 8/3563. Find the common denominator of c and 145/6.
12
Suppose 5*f = 4*m + m, 0 = 4*m + 3*f. Suppose m = -g + 14. Let t = 25 - 17. Calculate the lowest common multiple of g and t.
56
Let c(z) = -z**3 - 4*z**2 - 2*z - 2. What is the least common multiple of (-4 - -2 - -6) + 0 and c(-4)?
12
Let x = -4/181 - 5933/1810. Calculate the common denominator of x and (-271)/(-15) + 4/(-10).
30
Let n = -10 - -14. What is the least common multiple of 6 and n?
12
Let p = -31811/6 + 5314. What is the common denominator of 27 and p?
6
Let q(m) = 3*m**2 + 6*m - 3. Let y(z) = z**2 + 3*z - 6. Calculate the lowest common multiple of y(-5) and q(-3).
12
Let t = -2294 - -18381/8. Let w = -24377/6 + 4077. Calculate the common denominator of w and t.
24
Let d = -80286 - -5459353/68. Calculate the common denominator of 33/2 and d.
68
Suppose 0 = -j + 4*r + 19, j + 3*j - 24 = 3*r. Calculate the lowest common multiple of 20 and 0 + j - 3/3.
20
What is the lowest common multiple of 27 and (-62)/(-3) - (16/(-4))/12?
189
Let d = 1921 + -7635/4. Find the common denominator of 1/(-5) + 253/(-60) and d.
12
Calculate the common denominator of ((-9)/(-30))/((72/165)/(-3)) and 5/16.
16
Let g = -11 - -17. Calculate the lowest common multiple of g and 1.
6
Let h = -2713 + 18958/7. What is the common denominator of -2*(12/78 - 1836/104) and h?
7
What is the common denominator of 6/(-36)*(-279)/(-8) and 137/18?
144
Let m = -1609903/40 - -40250. Find the common denominator of m and 43/16.
80
What is the common denominator of (14/(-8))/((-4)/(-128)*-5) and -31/8?
40
Let y be 0 - ((-6)/437)/(-2). Let h = y + -14831/3933. Let i = -1/1217 + -15811/12170. Calculate the common denominator of i and h.
90
What is the common denominator of -1 + (-15)/(-24)*-38 and (-786)/40 + (-4)/(-10)?
4
Suppose m - 19 = a + 5*m, 13 = -2*a - 3*m. Suppose -a = -4*p - 4*y + 15, 0 = -y. What is the smallest common multiple of p/((-29)/(-9) + -3) and 6?
18
Suppose -4*n = -4*d + 48, -2*n + d + 3*d - 20 = 0. Calculate the common denominator of (-2)/(-7) + (-689)/n and 57/10.
10
Let t = -43 + 44. Let n(u) = -u**3 + 5*u**2 - 5*u + 4. Let j be n(4). Suppose f = -2*l - 1, j = -5*l - 17 - 3. What is the smallest common multiple of f and t?
7
Find the common denominator of -43/26 and (-183)/60*(-9 - -7).
130
Let r(g) = 3*g - 14. Calculate the smallest common multiple of 12 and r(7).
84
Suppose 0 = -c + 10*c - 198. Calculate the smallest common multiple of c and 20.
220
Calculate the common denominator of (11/44)/((-5)/(-116)) and 45/11.
55
Suppose 3*x + 0*x - f = -20, 3*f = -x. What is the least common multiple of 1 and (-20)/(-3) + 4/x?
6
Suppose -x - 2*l = -10, 0*x - l + 12 = 4*x. Suppose 3*v + 0*z - 2*z = -726, 0 = 5*v + x*z + 1194. Calculate the common denominator of 8/7 and (4/30)/((-9)/v).
63
Let b(c) = c**3 + 6. Let s be b(0). Suppose -3*z + 4*z + 2*j - 9 = 0, 3*j = z + s. Calculate the common denominator of -11/9 and 2 + (201/10)/z.
90
Suppose 0 = 5*j - 102 - 28. Suppose j - 6 = 4*p. Calculate the least common multiple of p and 11.
55
Let l = 23/4 - 2. Find the common denominator of l and (-69)/4 + 1/(-4).
4
Let b be (-3 - 6607)*-1*1. Let a be (159/66)/((-2)/b). Let p = 7960 + a. Find the common denominator of 75/2 and p.
22
Let z = -2 + 4. Find the common denominator of -115/6 and 2*z/(-2) + -31.
6
Let q = -24 + 26. Let x be (1 + 0/3)*10. Suppose -3*a + x = q*a. What is the smallest common multiple of a and 11?
22
Let q be 21/(-15)*5/108. Let d = q - 2497/216. Calculate the common denominator of -27/4 and d.
8
Suppose u - 7 = -b, -u - b = 4*u - 39. Calculate the lowest common multiple of u and 13.
104
Let h = 6656 - 199559/30. What is the common denominator of -101/10 and h?
30
Let d(o) = -1 + 2 - 3 + 6*o. Suppose 4*f + 3*t = 45, -3*f - 2*t = -5*t - 39. Calculate the least common multiple of f and d(3).
48
Let t = -5187/2 - -2544. What is the common denominator of (949/130)/(1 - (0 + 2)) and t?
10
Find the common denominator of (2 + -22)*(-15)/(-18) and -71/30.
30
Let t(g) = g**2 - 6*g + 1. Let d be t(5). What is the lowest common multiple of 1 and 3/(-12) + (-29)/d?
7
Let v = 30470/741 - 14896926458/362278605. Let x = -22931111287/2933430 + v. Let f = 7836 + x. Find the common denominator of -44/7 and f.
42
Suppose 0*a + 3*a = -2*w - 108, -260 = 5*w + 5*a. Find the common denominator of w and -3 - (-1 - (2541/(-30))/(-7)).
10
Let v(r) = r - 2. Let l be v(2). Suppose l*i - 2*i + 28 = 4*d, -3*i + 4*d = -62. What is the least common multiple of 10 and i?
90
Let r = -16472/1955 - -10/391. Calculate the common denominator of 41/2 and r.
10
Suppose -3*f = -c + 23, -7*f + 2*f = -15. What is the lowest common multiple of 2 and c?
32
Let x = 149/220 - -4/55. Calculate the common denominator of x and (-18)/7*(-63)/99.
44
Suppose -d - 8 = -5*d. Suppose 0 = d*n - 10, 2*n = 4*x + 2 + 4. Suppose 5*s - i = 14 + 21, s + 2*i - 7 = 0. What is the smallest common multiple of x and s?
7
Let z(g) = -7*g + 43. What is the lowest common multiple of 7 and z(5)?
56
Let w(p) = -p**3 + 24*p**2 - 3*p + 75. What is the lowest common multiple of (-4)/10 - 37/(-5) and w(24)?
21
Calculate the common denominator of 27/8 and 2/(-11) - (-1 + (-1306)/(-198)).
72
Let v = 460926 + -3219957/7. Let z = 1711 - 781. Let q = v - z. Calculate the common denominator of -15/7 and q.
7
Suppose 0 = -4*u, 3*j + 2*u = 3*u - 9. What is the least common multiple of ((-4)/j)/(2/9) and 4/1 + -3 - -10?
66
Let i(c) = c**2. Let l be i(1). What is the least common multiple of 13 - l - (1 + -3) and 20?
140
Let v be 14/3*(-27)/(-6). What is the common denominator of (v - 2)*(-1)/(-9) and -3 + 50/55 - -4?
99
Suppose 28 = m + 3*b - 0*b, 2*m + 5*b = 51. Calculate the lowest common multiple of m and 11.
143
Let g = 31855/7 + -703785/154. Let t = g + -57/11. Calculate the common denominator of t and 127/30.
30
Suppose -24 - 4 = 2*b - 4*p, 76 = -4*b + 3*p. Let d = 16 + b. Let a = 9 + d. What is the smallest common multiple of a and 7?
21
Let i = 11599/72 + -161. Let y = i - -3155/504. Calculate the common denominator of 59/10 and y.
70
Let q be (4/6)/(2/(-3)). Let w(m) = -54*m - 2. Let d be w(2). Calculate the common denominator of 23/11 and (-282)/d - q/(-5).
11
Let y(s) = -s + 4. Suppose 2*q + 5*m = 0, -q + 2*m = 3*q. Calculate the least common multiple of 2 and y(q).
4
Let q = -10 - -22. What is the common denominator of ((