
3
Let r be (-88)/((-16)/4) - (-1 + 3). What is the common denominator of 65/27 and ((-123)/(-15))/(12/r)?
27
Suppose -4*w = l - 0*l - 21, -11 = 4*l - 3*w. Calculate the smallest common multiple of l and (-3)/(-2)*(-20)/(-15).
2
Suppose 19*w = 259 + 7. Calculate the least common multiple of w and 1/(-2) + 74/4.
126
Let v = 15821/12 + -2619/2. Let b be 204314/12*8/(-24). Let h = 5672 + b. Calculate the common denominator of v and h.
36
Suppose -22*d - 80 = -2*z - 27*d, -4*z + 2*d = -208. Calculate the least common multiple of z and 10.
50
Suppose 0 = -8*p + 9*p - 1130. Let m = p - 3766. Let z = 15865/6 + m. What is the common denominator of z and -101/4?
12
Suppose 4*n + 490 = 7*x - 2*x, 0 = 5*x - 5*n - 485. Calculate the lowest common multiple of 51 and x.
102
Let k(d) = -10*d**2 + 71*d + 11. Calculate the least common multiple of 15 and k(7).
90
Suppose -6*p = -95 + 371. What is the common denominator of 73/8 and p/15 - (-2)/5?
24
Let l(v) be the first derivative of -v**3/3 + 3*v**2 - 8*v + 12. What is the least common multiple of 6 and l(3)?
6
Find the common denominator of (3*333/(-54))/(-2) and -40/31.
124
Suppose 5*q - q + 3*a = 10, 4*q = 3*a - 2. Suppose 25 = -4*o + 5. Calculate the lowest common multiple of (6/(-4))/(o/10) and q.
3
Let z = -20 + 14. What is the smallest common multiple of 24/9*(-9)/z and 14?
28
Let j be (2 - 3)/(-1) - 784. Let o = 371 + j. Find the common denominator of o/80 + 3/12 and 25/3.
30
Calculate the common denominator of 5 + -2 - (-1568)/(-570) and -17/33.
3135
Calculate the common denominator of 17/(-234)*(1 + (-3 - -6)) and -91/10.
1170
Let y(i) = 15*i - 4. Let t be y(-2). Let q = t - -197/4. Find the common denominator of 37/6 and q.
12
Let b be ((-6)/(-4))/(6/16). Suppose 0 = 2*w - 12 + 2. Suppose -b*l = -w*l + 7. Calculate the least common multiple of l and 10.
70
Suppose 2*m = 4*n + 22, 110*n - 108*n = -6. What is the lowest common multiple of 133 and m?
665
Let y be 3*15 - (7 + 2 - 6). Calculate the common denominator of (-318)/21*(y/12 + -4) and -2/11.
77
Let g = -6/4453 + 396437/89060. Find the common denominator of g and (-184)/156*27/(-12).
260
Suppose 7*p + 0 - 280 = 0. Calculate the least common multiple of p and 12.
120
Let x(j) = 5*j + 110. Let m = -74 - -74. Calculate the lowest common multiple of 16 and x(m).
880
Let c = -1652449/391 - -11062780837/2615790. Let i = 86/223 - c. What is the common denominator of i and 83/6?
30
Let z = -35124/11 + 3188. Let t = -6011 + 54158/9. What is the common denominator of z and t?
99
Suppose 0 = 18*p - 7*p - 220. What is the common denominator of 4 + 2 + (-182)/p and -4/3?
30
What is the common denominator of ((-22144)/252)/16 - (-2 - 4) and 83/54?
378
Let p(o) = -o**2 + 11*o - 7. Let v be p(10). Suppose v*c - 9 = -3*z, 5*c + 10 = 3*z + 1. Calculate the smallest common multiple of z and 4.
12
What is the common denominator of 67/55 and 1854/(-210) - 20/35?
55
Suppose 0 = -5*l + 5*z + 365, 4*l + 0*l - 271 = -3*z. Suppose l = 9*f - 56. Calculate the smallest common multiple of 82 and f.
574
Let g = -1389/2 + 737. Calculate the common denominator of g and 45/4.
4
Let z = -27 - -24. Calculate the least common multiple of z/1 + 35 + -14 and 12.
36
Let c(w) = 2*w**2 + w - 6. Let v be c(-3). Suppose 3*m + v = 0, -o + 2*m + 16 = -78. What is the lowest common multiple of 18 and o?
792
Let t = -45898324/5867913 + -65/29487. Let h = 14099/11144 - t. Let y = -15/28 - h. Find the common denominator of y and -9/14.
56
Let c = 16/73 - -4535/292. What is the common denominator of 25/214 and c?
428
Let r be 14/35 + 707/(-295). Let l = -12/59 + r. What is the common denominator of l and -55/2?
10
Let d = 1530 + -9265/6. Find the common denominator of -6/137 and d.
822
Suppose -59 = 2*w + 3*w - 2*g, -71 = 5*w + 2*g. Let x(n) = n + 21. Let j be x(w). What is the common denominator of j/(-36) - 643/(-180) and 41/26?
260
Suppose 34 - 334 = -10*w. What is the least common multiple of 6 and w?
30
Let b = 3/1148 - -16619/10332. Find the common denominator of b and 63 + -54 + 194/(-44).
198
Let z(i) = -i**3 + 14*i. Let b be z(-14). Let c = b - 22901/9. Calculate the common denominator of 19/21 and c.
63
Suppose 0 = 18*y - 16*y - 24. What is the lowest common multiple of 4 and y?
12
Let m(q) = q**2 + 5*q - 5. Let o be m(-5). Calculate the least common multiple of (o + -4)/(3/(-6)) and 4.
36
Let k be 1/2*1531/9. Suppose 2*l + t + 165 = -0*l, 4*l + 355 = 3*t. Let a = l + k. What is the common denominator of 23/22 and a?
198
What is the common denominator of -133/60 and (0 + 9/(-3))*648/240?
60
Calculate the smallest common multiple of (24 - 2) + 1 + -9 + 2 and 42.
336
Let t = -1/5532 + -301/247557. Find the common denominator of 7/20 and t.
3580
Let a(h) = -h**3 - 2*h**2 + 9*h + 6. Let s(r) = 3*r - 13. Let m be s(3). What is the lowest common multiple of a(m) and 20?
20
Let y = -82 + 76. Let i = 0 - y. What is the least common multiple of i and 5?
30
Let f = -16 + 14. What is the lowest common multiple of 27 and (f/(-7))/((-4)/(-28))?
54
Let i = 4467 - 31320/7. Let q be 244/(-44)*((-112)/6)/(-1). Let a = 307/3 + q. Find the common denominator of a and i.
77
Suppose 3*n - u = 68, 7*u - 2*u - 12 = -n. Let d(y) = y**3 + 12*y**2 - 15*y - 6. What is the least common multiple of n and d(-13)?
220
What is the least common multiple of 10/(-135) + 3572/108 and 6/15 + 116/10?
132
Let j(v) = v**2 + 5. Calculate the lowest common multiple of 9 and j(-5).
90
Suppose 225 = 3*p + 2*p. Let o = 743/2 - 356. What is the common denominator of o and (4/(-40))/(2/p)?
4
Let h = 1255442/13595 - -45/10876. Let x = -381/4 + h. What is the common denominator of -47/18 and x?
90
Suppose -2 = q + 4*l, 9*l - 13*l = -4*q + 12. Suppose 0 = 2*k + k + 12. Calculate the smallest common multiple of 12 and (-8)/q + k + 28.
60
Let f = 607/330 - 26/15. Find the common denominator of f and (-495)/50 + -2*(-1 - -2).
330
Find the common denominator of -62/81 and 12/(-6) + -2*7/(-12).
162
Suppose 3*y = 9, -3*k + 3*y + 4 - 7 = 0. What is the common denominator of 13/3 and k/(-4) - 1595/2726?
141
Suppose 4*r + h = 81, 2*r + 42 = 4*r + 2*h. Let k = -8 + r. What is the lowest common multiple of 54/14 - (-6)/42 and k?
12
Let b be ((-36)/(-84))/((-2)/(-14)). Let f = 5 - 1. Suppose b*x - f*x = -4. What is the lowest common multiple of x and 6?
12
Let k(o) = -101*o - 7. Let g be k(-5). What is the common denominator of 87/8 and (-12)/(-3) - g/42?
56
Let z be (-4)/(2/2) + 0/8. Calculate the common denominator of -5/8 and 12/z + 4 + 177/(-21).
56
Let l = 66 + -38. Suppose 59*q - 440 = 39*q. What is the lowest common multiple of l and q?
308
Calculate the common denominator of (3 - -128)*2/48 and (95/15 - 5) + (-1770)/(-1440).
48
Suppose 3*w - 13 = f - 41, -5*f - w + 108 = 0. Suppose -a + 94 = -4*d, 3*d = -0*d + 2*a - 68. Let p = d + 40. What is the least common multiple of p and f?
176
Suppose -12 = -8*c + 4. What is the least common multiple of 7 and c?
14
Suppose -4*l + 10 = -4*k - 30, -4 = -4*l - 5*k. Suppose 4*d = 3*r + 11, 4*d - 2*d = 2*r + 4. What is the lowest common multiple of 4 and d/(15/l) + 2?
4
What is the common denominator of -49/18 and ((-180)/(-405))/(10/123)?
90
Let b = -621/148 - 2/37. Calculate the common denominator of b and 20/32*-2*18.
4
Suppose 0 = -4*p + 8, 4*p + 2 = -4*w + 26. Suppose -3*q - 3*k = -0 - 3, 20 = -4*q + 2*k. What is the lowest common multiple of w and -4*(q + 7 + -5)?
4
Let b be (10/4 + -3)*58. Let t = b + 54. What is the common denominator of -47/10 and (15/t)/((-32)/(-50))?
80
Let g = -7225/77 + 974/11. Find the common denominator of g and (134/(-10))/(6/5).
42
What is the common denominator of -89/102 and (1/136)/((-15)/(-1524))?
510
Suppose -3*t + 3 = -3. Suppose -5*g + 28 = -t. Suppose 4 = 4*p, -7*z + 2*p + g = -3*z. Calculate the least common multiple of 14 and z.
14
Calculate the common denominator of (168/(-81))/(80/24) and 44/35.
315
Let n = 1096 + -926. Calculate the least common multiple of 30 and n.
510
Let f be (420/54)/(16/6). Let w = -3 + f. What is the common denominator of w and 79/18?
36
Suppose 0 = 5*q + 5*a - 4*a - 481, -99 = -q - 3*a. Let m = -86 + q. What is the lowest common multiple of m and 10?
10
Let x = -3/22687 - 6423659/22687. Let m = x - -11269/42. Find the commo