mmon denominator of (12/32)/(g/123) and -23/4.
8
Suppose 45 = 2*v + 4*c - 9*c, v - 27 = 4*c. Suppose v = 18*u - 13*u. Calculate the smallest common multiple of u and 9.
9
Suppose v - 5*d - 7 = -11, 0 = 2*v + 5*d + 53. Let t(j) = -j - 1. What is the lowest common multiple of t(v) and 22?
198
What is the least common multiple of 27/18 - 2/(-4) and (-2 - (-3 - -3))*-2?
4
Suppose 0*m = -m + 33. What is the lowest common multiple of ((-2)/(-2))/((-133)/(-1995)) and m?
165
Let w = -18215 + 437243/24. What is the common denominator of ((-202)/3)/((-16)/(-2)) and w?
24
Suppose -9*x = -7*x - 180. Find the common denominator of (-3)/x*595/(-4) and -22/15.
120
Let x be (0/((-1)/(-1)))/2. Let v(g) = 6*g + 6. What is the smallest common multiple of 13 and v(x)?
78
Suppose f + 145 - 633 = 0. Suppose -16*r + f - 200 = 0. What is the lowest common multiple of 54 and r?
54
What is the least common multiple of 73/4 + (-19)/76 and 46?
414
Let p(a) = -43*a - 148. Calculate the least common multiple of 32 and p(-8).
1568
Let q be 4/6 - ((-6342)/(-36) + -4). Let d = q - -181. What is the common denominator of d and 35/4?
4
Let n = 87257691/340 + -256640. Calculate the common denominator of n and 111/374.
3740
What is the common denominator of 1/11*(18 + 2) and 1*5*(-6)/1380*(-303)/6?
1012
Suppose -3*i + 2*n = -30, -4*n - 3 = 9. Let s(z) = z**2 + 14*z - 40. What is the lowest common multiple of i and s(-20)?
80
Find the common denominator of ((-5)/16)/(15/35) and 26/7.
336
Let x = -2068 + 4174. What is the least common multiple of 14 and x?
14742
Suppose -k = 5*z - 32, -5*z + 0*k = 2*k - 34. Calculate the lowest common multiple of z and 34.
102
Let p = 12414 - 372457/30. Find the common denominator of -13/15 and p.
30
Find the common denominator of 0 + -4 - (-3 + 92/(-6)) and 1352/(-396) - 2/9.
33
Let z = 33085202/17 - 39040092297/20060. Let k = z - -4/295. What is the common denominator of 11/7 and k?
28
Let a = -11 + 60. Suppose -11*w = -a - 182. What is the lowest common multiple of 18 and w?
126
Suppose 12*a - 7*a = 50. Suppose -2*t + 7*t - 30 = 0. What is the smallest common multiple of a and t?
30
Suppose -9 = 3*r + 3*l, -4*r = r + 3*l + 23. Let t(k) = -k - 4. Calculate the least common multiple of t(r) and 9.
9
Suppose -33*n - 1080 + 123 = 0. Find the common denominator of n and -77/87.
87
Suppose 3*w + 22 + 44 = 0. Let o = w + 29. What is the lowest common multiple of o and 1?
7
Find the common denominator of -121/12 and ((-234)/4 - -5)*(-4)/76.
228
Let b = 4292 + -38587/9. Find the common denominator of ((-2)/264)/(1/(-122)) and b.
198
Let x = -2453 + 2466. Let f(t) = -10*t - 1. What is the smallest common multiple of x and f(-1)?
117
Suppose -4*p = -5*f + 28 + 6, p + 2*f = -2. Let o be p/4*36/(-6). Suppose -s = -j - 17, 5*s + o*j - 75 = 4*j. Calculate the least common multiple of 16 and s.
16
Let o(d) = d**2 - 13*d - 16. Let i = 34 + -20. Let t be o(i). What is the common denominator of -12/19 and 0 - t*(-213)/(-18)?
57
Let w = 146503/32940 + 4/1647. What is the common denominator of w and 3/35?
140
Suppose 0*c - 3*c - 99 = -5*n, -2*n - 165 = 5*c. Let i = -7/282 - 205/3102. Calculate the common denominator of c and i.
11
Let x be 18 - 1*6/(-2). Let k = -9 + x. What is the least common multiple of k and 14?
84
Let a = -23242 + 395231/17. Let l = -43/68 + a. Let s = -4102 + 41079/10. Find the common denominator of l and s.
20
What is the lowest common multiple of 16/(-5)*150/(-20) and 24?
24
What is the common denominator of 77/4 and 18/12*(-545)/300?
40
Let g(m) = -10*m - 1. Let w be 5/(-4) - 13/(-52). What is the smallest common multiple of 11 and g(w)?
99
Suppose 0*k + 38 = -f + 4*k, -4*f - 3*k - 95 = 0. Let w be (-91)/f + 2/4. Suppose -3*l + w = -32. What is the least common multiple of 20 and l?
60
Calculate the lowest common multiple of 884/17 + 1*3 and 66.
330
Let k = 441 - 421. Let r(x) = 35*x + 5. Let f be r(5). What is the least common multiple of f/8 - 2/4 and k?
220
Suppose -2477 = -4*l + 5*n, 2*n - 210 + 1450 = 2*l. Let a = -372370 - -3345748/9. Let u = a + l. What is the common denominator of u and 9/11?
99
Suppose 0 = -x - 4*v - 24, 3*x + v = -72. What is the common denominator of 37/18 and (-157)/x*(-12)/42?
252
Let b = -2 - -11. Let a(r) = -r**3 + 12*r**2 - 20*r + 27. Calculate the least common multiple of b and a(10).
27
Suppose 20 = -4*i + 5*b, 3*i + 4*b - 7 - 9 = 0. Suppose i = 5*m - 2*m - 15. Suppose 3*z = -0*z + 45. Calculate the smallest common multiple of m and z.
15
Let o = 124 - -38. What is the smallest common multiple of 72 and o?
648
Let u = 12 - 7. Suppose 0 = -4*b - b + u. What is the smallest common multiple of 18 + (b - (5 - 2)) and 18?
144
Calculate the smallest common multiple of 66 and 12*(1 - (1 + -1)).
132
Let m = 35253/10 - 3529. Let h = -1697/2 - -828. Calculate the common denominator of m and h.
10
What is the lowest common multiple of 1*(19 + (-15)/3) and 46?
322
Let f(i) = i**2 + 3*i - 100. Calculate the smallest common multiple of f(9) and 88.
88
What is the common denominator of 0 - -2 - (-36)/14 and (-16)/12*(-775)/(-496)?
84
Suppose 7*w - 5*q - 44 = 5*w, -2*q = 2*w - 58. Calculate the smallest common multiple of w and 27.
27
Let a = -263359/52206 + -2/2373. What is the common denominator of a and 346/(-36) - (-4 - 0)?
198
Suppose k + 3 = -0*k. Find the common denominator of -1*(113/(-40) - k) and -95/14.
280
What is the common denominator of -19/33 and (-3)/3 - 5338/(-4845)?
3135
Let t(s) = -s - 10. Let b be t(-5). Let i = -1 - b. Suppose i*d = -1 + 41. What is the lowest common multiple of 4 and d?
20
Suppose 0 = -5*m - 0*m + 5*q + 85, 3*m - 55 = 5*q. What is the common denominator of (-56)/(-22) - (-10)/(-55) and ((-56)/(-3))/((-25)/m)?
55
Let l(d) = 7*d**2 + 6*d + 20. Suppose 2*f + 2*f - 2*b - 44 = 0, b = -3*f + 28. Let u be l(f). Let w = 3159/4 - u. What is the common denominator of w and 61/16?
16
Let u(s) = -s - 8. Let d be u(-9). Let x(z) = -3 + d + z**2 - 4*z + 14*z. What is the least common multiple of x(-12) and 4?
44
Let n = 4 + 2. Let k(d) = 2*d - 6. Let s(u) = 3*u - 1. Calculate the lowest common multiple of k(n) and s(2).
30
Let p(s) = -s**2 - 10*s - 5. Let t be p(-9). Suppose -t = j - 3*j. Suppose -29 + 11 = -2*n. Calculate the lowest common multiple of n and j.
18
Suppose -7*x = -8*x + 1, x = -4*o + 81. Calculate the least common multiple of 176 and o.
880
Suppose 0 = 3*v + 7 - 37. Let g(r) = -r**2 + 9*r + 14. Let w be g(v). Find the common denominator of -67/4 and (-6)/w*10/45.
12
Let c(r) = -r**3 + 2*r**2 + 5*r + 3. Let s be c(-3). Let g be s/5*(-414)/2. Let n = 1354 + g. Calculate the common denominator of n and -79/6.
30
Let f(d) = d**3 + 8*d**2 + 9*d - 3. Let m be f(-7). Find the common denominator of -41/26 and (-1 + 15/21)*m.
182
Suppose -2*h - h = -12. Suppose 18 = m - 11. What is the least common multiple of m and h?
116
Suppose -q = -5*w + 977, -5*w + q - 5*q = -967. Calculate the lowest common multiple of 4 and w.
780
Suppose -1875 + 489 = -11*d. Let p = -1963/16 + d. Find the common denominator of 7/20 and p.
80
Suppose -1280 = -21*z + 5*z. Suppose 0*i - z = -5*i + 5*j, -3*j + 24 = i. What is the smallest common multiple of 11 and i?
198
Let b(s) = s**2 - 79*s + 1270. Calculate the lowest common multiple of 54 and b(59).
270
Let g(b) = 3*b**2 - b. Let c be g(-4). Suppose -3*u + 7*u = 16, 5*y = 2*u + c. What is the lowest common multiple of 4 and y?
12
Calculate the common denominator of -95/28 and 2/15*3015/216.
252
Suppose 0 = v - 4*h + 14, -2*v + 8 = -0*h + 4*h. Calculate the lowest common multiple of 4 and (-182)/(-35) + v/10.
20
Let v = 82190831/219273 - 1/146182. Let o = v + -374. Calculate the common denominator of -25/64 and o.
192
Let k = -145268479/80 - -1815888. Let y = k + -186/5. Find the common denominator of y and (-3)/14 + (2 - 2).
112
Let q = -818 + 1295. What is the least common multiple of q and 530?
4770
Let j = -338 + 483. Let k = 61175/5896 + -1/1474. Find the common denominator of k and (203/j)/(1*-1).
40
What is the smallest common multiple of 19 + 0 - 2/(-6)*15 and 33 - (2 - (-5)/(-5))?
96
Let j(c) = 26*c**3 + 2*c**2 - 1. Let x be j(1). Let v be (-6)/x - (-47037)/(-10476). Let k = v + -36/97. Calculate the common denominator of -97/2 and k.
12
Suppose 14 =