4
Let i be ((-40)/(-60))/((-4)/42). Find the common denominator of -56/11 and i/5 + (1 - 2).
55
Let z be 4/13*(-825)/6. Let p = z - -9151/208. Calculate the common denominator of (-5)/(-30)*(-15)/55*31 and p.
176
Suppose 83 - 539 = -8*p. What is the lowest common multiple of p and 15?
285
Suppose 3*o - 82 + 22 = 0. Suppose r = 3*i - 1, -17 = i + 3*i - 5*r. What is the least common multiple of (-19)/(-2) - 10/o and i?
18
Suppose 0 = 3*d + 790 + 221. Let z = -940/3 - d. Calculate the common denominator of -83/6 and z.
6
Suppose 2*l - 104 = -2*l - 4*g, g = -3*l + 72. Calculate the common denominator of l and 19/17.
17
Suppose k = 3*k - 36. Suppose -5*c = -23 + 33, 2*c - 66 = -5*y. Calculate the smallest common multiple of k and y.
126
Suppose l + 5*v + 79 = 0, 91 + 184 = -5*l + 5*v. Let i be l/3 + 10/(-30). Calculate the smallest common multiple of ((-36)/i - 1)*10 and 5.
40
Suppose -4*k = -3*k + 4*k. Suppose -r + 5 - 1 = k. What is the least common multiple of 2 and r?
4
Calculate the common denominator of 51/401 and (159/30)/((-3)/(-6)).
2005
Suppose -22 = -3*i - 2*x, -3*i = -5*x + 5 + 8. Calculate the common denominator of 1 + 201/21 - i and 1/20.
140
Let b = -7985/12 - -666. Let d be -2 + 11 + 2 + -1. Calculate the common denominator of b and (-4)/8*123/d.
60
Let w be 1827/(-54)*4495/14. Let r = w - -10857. Let p = -455921/22 + 20719. Calculate the common denominator of r and p.
132
Let w be (120/(-25))/((-2)/5). Let r be 3207/748*(-18)/w. Let l = -275/136 - r. Find the common denominator of l and 55/14.
154
Let s be 1/((-1)/((-2 + 4)/(-2))). Calculate the common denominator of s - 448/18 - (-16)/72 and -25/11.
33
Let f = 2 + 0. Suppose -f*n - 3*k = 2, -5*k = -2*n + 4*n + 6. What is the least common multiple of n and 1?
2
Suppose -2*p + 0*p - 20 = -3*g, 0 = g + 4*p + 12. Suppose u - 5*v = -2*v + 6, -g*u + 4*v + 56 = 0. What is the smallest common multiple of 4 and u?
36
Let d = -52/3 - -89/6. Let b be 71594/72 - (-3)/4. Let y = 994 - b. What is the common denominator of y and d?
18
Let t = 453 - 233. Calculate the common denominator of ((-1440)/t)/(2 + 0) and 16/7.
77
Let t = 338477/14610 + -2/2435. What is the common denominator of 59/258 and t?
258
Let o be 2 + 2 + (-1834)/(-5523)*-12. Let r = 4188/1315 + o. Find the common denominator of r and -2 - (325/(-6))/(-5).
30
Let o = 1 - 6. Let h = -2 - o. Let a = 170 + -151. What is the lowest common multiple of a and h?
57
Suppose 4*s + 20 = 0, 3*s = 2*y - 34 + 1. Let a(u) = -15*u + 228. Calculate the smallest common multiple of a(14) and ((-15)/(-2))/(y/24).
180
Suppose 0 = 4*g + 7*p - 5*p - 600, -g = 4*p - 150. Calculate the smallest common multiple of g and 66.
1650
Suppose -h + 3 = 2*y, 2*h - 3*y = 52 - 18. Suppose 3*z + 0 = 15. Calculate the lowest common multiple of z and h.
55
Let p = 13 - -5. Let l = p - 8. Calculate the smallest common multiple of 142/7 - 2/7 and l.
20
Let v be (21/(-7))/((-3)/2). Suppose i - v = 2*k - 7, -7 = -i - 4*k. Calculate the common denominator of i/4*(-148)/(-16) and 119/18.
144
Suppose -2*w - 3*o - 6 + 47 = 0, 3*o = -5*w + 98. Find the common denominator of w and (18/30)/(3/(-34)).
5
Let n = 22 + -19. Calculate the common denominator of (-2865)/900 + 1/n and 27/2.
20
Suppose -2*n - n - 7134 = -3*a, -3*n - 9511 = -4*a. Suppose 4*g + a = -c, -3*g = g - 4*c + 2372. Calculate the common denominator of g/40*(-22)/33 and 27/5.
10
Let a = -1872 + 1892. What is the smallest common multiple of a and 1118?
11180
Let r(w) = 2*w**2 - 55*w + 331. Let b = 831 - 6868. Let f = -36109/6 - b. What is the common denominator of f and r(8)?
6
Let f(a) = -2*a**2 + 8*a + 44. Calculate the least common multiple of f(7) and 354.
354
Let x = 15123/4 + -105043/28. Let o = -2231311 + 203046373/91. Let i = x + o. Calculate the common denominator of -99/14 and i.
182
Suppose 0 = 5*p + 3*f + 11, -1 + 11 = -5*f. Let j = p - 7. Let r = 10 + j. Calculate the lowest common multiple of r and 20.
20
Let d be (-120)/(-18) + 2/(-3). Calculate the least common multiple of ((8/d)/2)/((-25)/(-15450)) and 8.
824
Let z = -540 - -547. Calculate the least common multiple of 822 and z.
5754
Suppose -149 = -2*t - y, 2*y + 2*y = -3*t + 236. What is the least common multiple of t and 88?
792
Let u(p) = p**3 - 23*p**2 + 20*p + 52. Let t be u(22). Calculate the common denominator of t - 4257/420 - 3/(-5) and 13/4.
28
Let h(g) = g**3 - 9*g**2 + 15*g - 5. Let t be h(7). Calculate the lowest common multiple of 18 and (4/(-3))/(t/(-18)).
36
Let z(c) be the third derivative of c**6/120 - 13*c**5/60 - 11*c**4/24 - 16*c**3/3 - 5*c**2. What is the lowest common multiple of 10 and z(14)?
10
Let o = 466 - 432. Calculate the smallest common multiple of 119 and o.
238
Let w = 67 - -32. Calculate the least common multiple of w and 90.
990
Suppose 2*b + 31 = 5*h - 3, 0 = -4*h - 2*b + 20. Calculate the least common multiple of 57 and h.
114
Let b = -74 - -132. What is the common denominator of -45/7 and b/6 - (16 - 13)?
21
Suppose 0 = 29*n - 26*n - 2694. Find the common denominator of 103/10 and 1 + n/420 + (-60)/150.
210
Suppose 3*b - 4*j = 13, 5*b = -0*b - j - 9. What is the lowest common multiple of b + (-5)/(20/(-12)) and 12?
12
Suppose -9*k + 11*k - 210 = 0. What is the least common multiple of (-6)/(-8) + k/84 and 30?
30
Let t = -642959/75 - -8573. What is the common denominator of 9*(-2)/40*-6 and t?
150
Suppose 4*x - 6 = -3*s + 3, -2*x - 3 = -s. Suppose x = -h + 5*h + 4*k + 8, 2*h = 2*k + 8. Calculate the smallest common multiple of 4*h - 0/(-4) and 3.
12
Suppose 19 = 7*i - 23. Suppose -c + 3*b + 36 = 2*c, -c + 4*b + i = 0. What is the smallest common multiple of 6 and c?
42
Let m = 4340 + -69373/16. Let g = -61513/10 - -6140. Calculate the common denominator of m and g.
80
Find the common denominator of (9988/(-300))/11 - (-1 - 3) and -97/60.
300
Suppose 9*z - 2590 = -2545. Let n(u) = -5*u + 2. Let c be n(-6). Suppose -z*i + c = -28. Calculate the lowest common multiple of i and 14.
84
Suppose 3*o + 2*q - 542 = 0, 5*o = -2*q + 4*q + 898. Suppose -11*r = r - o. Calculate the smallest common multiple of 30 and r.
30
Suppose 56*x - 3598 = -798. Calculate the least common multiple of x and 25.
50
Suppose 0 = 2*d + 5*l - 9, -5*l + 7 = -2*d + 3*d. Suppose 25 = 5*i + 5*z, d = 5*z - 13. Calculate the least common multiple of i and -15*((-24)/10 + 2).
6
Let a(b) = 2*b**2 + 18*b + 12. Let r be a(-10). Let x be 27/18*r/(-3). Let z = -10 - x. Calculate the smallest common multiple of z and 7.
42
Suppose 9*c - 4*c + z = 182, -4*z - 136 = -4*c. Calculate the lowest common multiple of 20 and c.
180
Suppose 4 = -5*c + 14. Let k be c + 119 + 12/3. What is the common denominator of -9/14 and (910/k)/(8/(-5))?
140
Calculate the common denominator of (-6)/(-10) - (-5251)/9440 and -83/16.
32
Let y = -9 - -11. Calculate the common denominator of 384/165 - y - (-18)/45 and 45/4.
44
Let h = 197 + -174. Calculate the smallest common multiple of h and 5.
115
Let s = 53 + -33. Let y = 14 - 4. Let d = y - 4. What is the lowest common multiple of d and s?
60
Let g = -5987396504807/117000 + 409394695/8. Let p = 6/1625 + g. What is the common denominator of 58/9 and p?
9
What is the lowest common multiple of 2/(-4) - 232/(-16) and -2 + 3 - (0 - 11)?
84
Suppose 55*d - 176 = 53*d + 2*o, 444 = 5*d - 3*o. What is the lowest common multiple of 2 and d?
90
Calculate the least common multiple of (130/8 + -4)/((-6)/(-48)) and 7.
98
Calculate the common denominator of 53/10 and ((-59)/4)/(1 - (-2)/(-8)).
30
Suppose 2*a + 5*o = -1, -1 - 5 = 2*o. Let s(l) = -2*l + 14. Let m be s(a). Suppose 10*g - 6*g + 72 = m. What is the common denominator of g and 63/10?
10
Find the common denominator of (-14)/77 + 1966/44 + 2 and 61/38.
38
Let y = -372/47 + 16705/1974. Find the common denominator of y and -65/63.
126
Calculate the common denominator of (-12)/54 + (-152)/96 and -13/4.
36
Suppose -10*d = -3*d - 28. Suppose d*n = -9*n + 104. Calculate the smallest common multiple of n and 42.
168
Suppose -10*m - 165 = -13*m. What is the smallest common multiple of m and 190?
2090
Let y(z) = -77*z - 98. Calculate the lowest common multiple of y(-2) and 16.
112
Let a = -195/17 + 1663/102. Find the common denominator of a and 40/119.
714
Let c = -15428/3 + 895001/174. Wha