-68/21 and ((-2)/3 + 1)/(33/(-451)).
63
Suppose 6*m = 8*m - 30. Let b be (-66)/m + (-3)/5. Let n = b - -9. What is the least common multiple of n and 32?
32
Suppose -4*v + 0*c + 100 = 5*c, -3*c = -3*v + 102. Let y be (7426/(-6))/(v/45). Let k = y + 1894. Calculate the common denominator of 91/12 and k.
12
Let l = -3/125 - 1303/3000. What is the common denominator of 97/18 and l?
72
Let z = -2807/9 + 313. Find the common denominator of z and -47/42.
126
Let j = -28 - -17. Find the common denominator of -25/11 and (0 - j)/(120/15).
88
Suppose -19 = 4*d + 13. Find the common denominator of (303/54 - -2)/((-2)/6) and d/(-12) - (-80)/42.
42
Suppose -h = -t - 2*h + 14, 0 = t + 3*h - 10. Let d = 6 + -4. Suppose -6 = d*u - t. What is the lowest common multiple of 5 and u?
5
Let w = 63293/2 - 30404. Let a = w - 1293. Calculate the common denominator of a and ((-14)/15)/(72/(-255)).
36
Let l = 460 - 1126. Calculate the common denominator of l/30*(-2)/21 and -26.
35
Suppose -5*s = 255 - 1140. Find the common denominator of 0 + (s/(-24) - -2) and (-3)/9 + 0 + 1865/150.
40
Let w(f) = 4*f**2 - 5*f + 5. Let z be w(4). Let p be z*(36/21 - 0). Suppose -85 = -5*q - 3*n + 4*n, 4*q - p = 4*n. What is the least common multiple of q and 2?
16
Let h = 2131/282 - -60/47. Find the common denominator of -97/176 and h.
528
Let b = -4612 - -41561/9. What is the common denominator of 9/31 and b?
279
Let r be 3/(33/(-2)) + (-4277502)/1584. Suppose 3*k = -v - 2692, 2*v - 5400 = 4*v + 2*k. Let z = r - v. What is the common denominator of z and 11/18?
72
Suppose 13 = 11*n - 9. Let k(v) = 3*v - 3. What is the lowest common multiple of 39 and k(n)?
39
Let i = -8073/4 - -2001. Calculate the common denominator of (-360)/140 - 1*-5 and i.
28
Calculate the common denominator of 34/3 and ((-2)/1*1)/((-264)/(-5874)).
6
Let f = -1/679 - 15611/4074. Calculate the common denominator of f and (-73)/(6 + -4 + (-24)/(-3)).
30
Let n = 11 - 7. Suppose -m = -3*f + 83, -5*m = 2*f - 100 + 39. Calculate the least common multiple of f and n.
28
Let i be ((-4)/15)/(2728/80). Let y = 93029/8184 - i. What is the common denominator of -9/7 and y?
56
Let x = -59 + 62. Suppose 0 = -5*m - x*t + 62, -7 - 3 = m - 5*t. What is the smallest common multiple of 10 and m?
10
Suppose -a + 6*a = -5*f + 235, -3*a = -5*f - 165. Let r = -15957/8 - -1983. Calculate the common denominator of 6/(-14)*77/a and r.
200
Calculate the smallest common multiple of 112 and (-5368)/(-55) - (-6)/15.
784
Let y = -1972 - -11971/6. What is the common denominator of y and -97/204?
204
Let g = 12/1061 + 30529/21220. Calculate the common denominator of g and 117/380.
380
Let i = -1947/4 + 481. Suppose 5*s = -12 - 3. Find the common denominator of (4 + s)*(-52)/16 and i.
4
Let x = -55/2 + -107. Let d = x + 151. Calculate the common denominator of d and 99/34.
34
Let q = -7 - 5. Find the common denominator of 23/37 and -1 - (-2 - -1) - (-214)/q.
222
Let k = 2647661/2440518 - 10/2969. Let h = k + 1/548. Calculate the common denominator of h and 1/7.
84
Let z = 28734485/168 + -171038. What is the common denominator of z and 53/21?
168
Suppose -4*o = -c - 81, -3*o + 74 = 4*c - 1. Let m = 222 + -195. What is the smallest common multiple of m and o?
189
Suppose -145*i = -150*i - 80. Calculate the common denominator of -7/13 and i.
13
Suppose 3*i + 5*r = 215, -2*r = -21*i + 25*i - 282. Calculate the smallest common multiple of 20 and i.
140
Let w = 267 - 82. Calculate the lowest common multiple of 13 and (w/(-4))/(-5) - 19/76.
117
Calculate the common denominator of -41/60 and (75/120)/(225/3132).
60
Let b = 98699/28 + -3524. Find the common denominator of b and -25/32.
224
Suppose 0 = 2*h - 3*g - 92, 8*h - 6*h - 84 = g. What is the least common multiple of h and 5?
40
Suppose -60 - 290 = -7*m. What is the lowest common multiple of 85 and m?
850
Let f = 2272 + -20480/9. Let z = -5641 - -146645/26. Calculate the common denominator of f and z.
234
Let f = 2984826/1253 + -16677/7. What is the common denominator of f and 48/7?
1253
Suppose m = -0*m, 3*m = 5*p + 225. What is the least common multiple of p/(-2 - 3) - 3 and 10?
30
Suppose 26 = 5*l - 119. Let b = l + -24. Suppose 7 = b*m + 102. Calculate the common denominator of 37 and m.
1
Suppose -x + 0*x - 14966 = 0. Let g = -43298/3 - x. Let c = g - 538. Find the common denominator of 26/9 and c.
9
Suppose -3*c - 40 = -8*c. Let u(w) = 3*w - 4. Let l be u(1). Calculate the least common multiple of c and (8 - l) + 16/8.
88
What is the common denominator of (-7 - 2216/(-320))/(18/(-385)) and 115/36?
144
Let w be -73*4/32 + (-1)/(-8). Find the common denominator of (18/(-8))/((-15)/(-78)) and (w - -8)*43/3.
30
Let x = 19 + -7. Let m = -7 + x. Calculate the lowest common multiple of m and 2.
10
Let a = -48091/1032 + 1830/43. Suppose 4*x - 24 = 16. What is the common denominator of (-888)/80 + (-2)/x and a?
120
Let n = 827999/72 + -11499. What is the common denominator of 71/48 and n?
144
Let y = 11891 + -142625/12. Let w be 2/(-36)*(-12553)/94. Let v = w + 57/188. Calculate the common denominator of y and v.
36
Let v = 884412298243/83825694 - -15/4656983. Let i = -10544 + v. Let h = i + -11/3. What is the common denominator of -83/2 and h?
18
Suppose 5 = 3*a - 1. Suppose 3*j + 23 = -2*o, -4*o + 7*o + 32 = -4*j. What is the lowest common multiple of a and o/7 - 1624/(-98)?
16
Suppose 0 = -5*o + o + 12. Let k(p) = -17*p**2 - 1. Let r be k(o). What is the common denominator of (r/20 + -4)/(-1) and -17/14?
70
Suppose -5*p - 5 - 10 = 0, -46 = -l + p. What is the lowest common multiple of 40 and l?
1720
Suppose -2*c + 6 = 2*q - 0*q, 5*q = 4*c - 12. Suppose 3*b + 30 = 3*t, -c*t - 2*b = -3 - 32. What is the least common multiple of 7 and t?
77
Let d(k) = k**2 - 8*k - 4. Suppose n + 28 = 3*h, 3*h = 5*h + 2*n - 24. What is the lowest common multiple of 4 and d(h)?
16
Let p = -4681/240 - -1/240. What is the common denominator of 6/145 and p?
290
Let s be 1*(-3)/(2582 + 1). Let l = -17282/15641 + 315327763/53867604. Let n = s - l. Calculate the common denominator of n and 109/6.
12
Let u be (30/75)/((-2)/10). Calculate the common denominator of 3/2*(-118)/6 and (-570)/(-126) - 2/12*u.
14
Let d be (-21 - -9)*(-1)/(-4)*-19. Let h = -409/12 - -82/3. Calculate the common denominator of h and 4/((-16)/d)*(0 + 2).
4
Let y = -40 + 88. What is the smallest common multiple of 48 and y?
48
Let u = -29/175 - 14527/2100. Let x = 319 - 115. Calculate the common denominator of -8 - -12 - x/8 and u.
12
Suppose -2*t = -5*t + 57. Let s = -16 + t. Find the common denominator of (-2032)/(-72)*s/4 and 45/16.
48
Let u = -54 - -30. Let z = u + 6. Let w = z - -29. What is the smallest common multiple of w and 2?
22
Let d(t) = -t**3 + 14*t**2 + 10. Let v be d(14). Calculate the common denominator of 23/13 and (9/v)/((132/45)/11).
104
Suppose -30 = -2*n + 50. Suppose j = -22 + 66. What is the lowest common multiple of n and j?
440
Let t be (-10)/15 - (-62)/(-33). Let s = -893/44 - t. Calculate the common denominator of -32/9 and s.
36
Suppose -5*g = -0*g - 2630. Suppose 6 - g = -4*r. What is the common denominator of (9/(-40))/(12/r) and 89/18?
144
Let v(c) = -c**2 - 4. Let n be v(0). What is the common denominator of ((-308)/(-30))/(n/(-5)) and -4 + (-88)/(-14) - -4?
42
Let b = 1681 + -8412/5. Find the common denominator of b and -87/310.
310
Suppose 0 = -17*q - 2*q - 14*q + 264. Let y = 0 - 2. Calculate the smallest common multiple of y*1/3*-18 and q.
24
Suppose -3*z = -5*w - 163, -w - 16 = -17. Calculate the smallest common multiple of 14 and z.
56
Let l = 8990 - 557361/62. Find the common denominator of l and 51/(-8) + 6/2.
248
Suppose -159*d = -153*d - 384. What is the smallest common multiple of d and 32?
64
Suppose -4*j + 2*f = -468, j + 2*f = -0*f + 127. Let q = -70 + j. What is the common denominator of ((-18)/(-231))/((-1)/q) and -54/5?
55
Let g be 4/(-22) - 39/(-33). Calculate the common denominator of (-2)/(-6)*(-61)/3 and (32/14)/(g/(-2)).
63
Suppose -2*n + 50 = i + 2*i, 4*i - 5*n - 105 = 0. Suppose 15 - 3 = 3*s, -2*h + i = 2*s. Calculate the lowest common multiple of h and 22.
66
Let l(h) = 2*h**3 + 26*h**2 - 29*h + 20. Let n be l(-14). Suppose -u + 5*u = 0, 0 = -k - 4*u + n. Calculate the smallest common multiple of