.
88
What is the lowest common multiple of 81*(7 - 0 - 57/9) and 66?
594
Let t(m) = 49*m - 103. Let v be t(2). What is the lowest common multiple of 48 and (0/v)/(-14) - (1 + -13)?
48
Calculate the common denominator of -77/208 and ((-177)/1300)/(32/40) - (-6)/(-30).
208
Let t = 3695 - 240181/65. What is the common denominator of t and 89/70?
910
Suppose -6*h = -8*h - 3*i - 905, 3*h = -5*i - 1359. Let j = h - -518. Calculate the least common multiple of 10 and j.
70
Calculate the smallest common multiple of 4252 and 3/6*(2 - 1)/((-26)/(-624)).
12756
Let v be -5 + 2 - (-5 + 2). Suppose -2*q + 6*q = 32. Suppose v*a - 4*l = 4*a - q, 4*a - 5*l = -1. What is the lowest common multiple of 34 and a?
34
What is the common denominator of 14/2 + ((-1275018)/2520)/73 and -19/48?
1680
Suppose -5*q - 20 = -4*f + 3*f, f - 17 = 4*q. What is the least common multiple of 22 and (-108)/(-72)*(-328)/q?
1804
Let c = 1509221/460 - 16404/5. Calculate the common denominator of c and 131/920.
920
What is the common denominator of (-435)/(-21)*(10 - (-28773)/(-2880)) and 53/168?
1344
Suppose -50 + 60 = p. Suppose -3*i + 4*q = q - 30, -2*i + 5 = q. What is the least common multiple of i and p?
10
Let g be (-21)/1899*(1 - 115). Let r = 26869/6752 - g. Calculate the common denominator of r and 15/52.
416
Let d(c) = c - 27. Let x = -103 + 102. Let b be (x/(2/90))/((-180)/120). What is the smallest common multiple of 2 and d(b)?
6
Let b = 228 + -67. Suppose 2*l + 73 = b. Calculate the least common multiple of l and 36.
396
Let p(m) = 3*m**3 + 4*m**2 - 2*m - 6 - 6*m**3 - 3*m**3. Let j be p(-2). What is the common denominator of ((9/12)/1)/((-3)/j) and -61/8?
8
Suppose -2*z + 73 = -3*z. Let m = z + 73. Calculate the smallest common multiple of 1*(m - -2) + (20 - 0) and 22.
22
Let b = -104 + 107. Calculate the smallest common multiple of 6 and 1*b/(-4)*-4.
6
Let x(h) = -2*h**3 + 13*h**2 + 5*h + 16. Let v be x(7). Suppose -b = v*i - 51, 2*b - 35 = 2*i + 79. Calculate the smallest common multiple of 60 and b.
660
Let z = 14533/90 + -1450/9. What is the common denominator of (-593)/(-30) + (-12)/(-30) and z?
30
Let g(r) be the first derivative of r**3/3 + 15*r**2 - 43*r + 124. Calculate the lowest common multiple of 30 and g(-34).
930
Let k(p) = -p**2 - 2*p - 14. Let u be k(-8). Suppose 0*g + 36 = 2*g - 3*h, 0 = 3*g - h - 40. Find the common denominator of -68/9 and 24/(-108) + u/g.
18
Let h = -3522905 + 28135371/8. Let l = 5976 + h. Let i = 2/17 - 83/272. Find the common denominator of l and i.
16
Let g = -5477 + 5497. Calculate the lowest common multiple of 1888 and g.
9440
Suppose 21*c = 14*c + 14. What is the lowest common multiple of 7 and (3 - 0)*((-4)/c - -5)?
63
Let d = 6784753/126 + -53848. Let n = -8551/10703 + 51/1946. Find the common denominator of n and d.
1386
Let n = -5878967/60 + 97985. Find the common denominator of ((-1768)/5100)/(1*12/(-5))*(8 + -1) and n.
180
Let a(r) = 2*r**3 + r**2 + 112. Let i be a(0). Calculate the least common multiple of (10 + 1)/(14/i) and 22.
88
Suppose -5*r + 8 = -3*r. Calculate the lowest common multiple of -11 - ((-15)/((-255)/136) + -65) and r.
92
Suppose 31*g - 43785 = -108*g. Calculate the smallest common multiple of g and 665.
5985
Let p = 19 - -5. Calculate the lowest common multiple of p and (3570/(-15))/(-14) + (-4)/(-4).
72
Let a(b) = -b**2 + 16*b - 18. Let g be a(14). Suppose -h - y = -26, 5*y - g = -30. What is the smallest common multiple of h and 3?
30
Let v be 63172 - (-6)/18*-24. Let r = 7958621/126 - v. Calculate the common denominator of 9/70 and r.
630
Let u(s) = -6 - 3*s**2 + 9 - s + 7 + 4*s**2. Suppose j + c + c - 7 = 0, -2*j = 5*c - 14. Calculate the least common multiple of j and u(0).
70
Suppose 0 = 2*x - 6*x + 20. Let c = 3 + 8. Suppose c*b - x*b = 156. What is the least common multiple of b and 3?
78
What is the common denominator of -103/92 and 19838/(-2080) - -1*8?
1840
Suppose 842*p - 840*p + 4 = 0, 4*p = 2*f - 74. What is the smallest common multiple of f and 781?
2343
Suppose 2*c + 3*a + 2 - 81 = 0, -229 = -5*c + 3*a. Suppose -5*u = -c - 66. What is the least common multiple of u and 78?
858
Let r = 157049/42 + -3739. Calculate the common denominator of r and 19/194.
4074
Let b be -17464 - (-8)/2 - (-3 + 3). Let a = b - -418981/24. What is the common denominator of a and 648/(-8)*(0 - 3/30)?
120
What is the common denominator of 71/748 and (-1)/119*(36 - (-520)/(-32))?
5236
Find the common denominator of 103/276 and (806/4960)/((-96)/(-50) + -2).
2208
What is the common denominator of 139/2082 and (-1626)/234 - (2 - 49/7)?
27066
Let j = -22853453/4995 - -65432/555. Let z = 4458 + j. Calculate the common denominator of z and -26/3.
27
Let u = 12202 + -11754. What is the least common multiple of 1344 and u?
1344
Let b = -83263/486496 - 1/21152. What is the common denominator of -9/148 and b?
13616
Suppose -3*s + 134 = -w + 97, 4*s - 2*w = 46. Calculate the common denominator of s and -52/35.
35
Let x = 28425/8 - 3562. What is the common denominator of x and -43/318?
1272
Let z be -5 + 212/32 - (-3)/8. Calculate the lowest common multiple of 6 + z - 9 - -9 and 52.
104
Let q = 53 - 42. Let b be (-180)/12*3/(-1). Let c = b + -42. Calculate the lowest common multiple of q and c.
33
Let k = 246 - 65. Suppose -2*h + 4*a = h - k, 2*h - 123 = 5*a. Let y = 73 - h. What is the least common multiple of 20 and y?
140
Let s be 2*3/12*-105082. Let n = s - -2206597/42. Calculate the common denominator of n and 34/63.
126
Calculate the lowest common multiple of 1380 and 11316/205*(320/(-12))/(-4).
5520
Suppose 0 = 5*k - 2*m - 1882, 72 - 442 = -k + 2*m. What is the least common multiple of 432 and k?
3024
Let g(a) = 3*a + 20. Calculate the least common multiple of -483*7/(-84) - 2/8 and g(16).
680
Let s(i) = 17*i + 877. What is the least common multiple of 225 and s(-41)?
900
Let c = -19/89 + 8213/534. Calculate the common denominator of c and 51/20.
60
Suppose -4*s - 8536 = -2*o, -8541 = -2*o + 4*s - s. Suppose -o = -36*x + 474. What is the least common multiple of 28 and x?
924
Suppose -23958 - 2538 = -52*n + 29*n. What is the smallest common multiple of n and 1152?
1152
Let w = -15987 - -16764. What is the smallest common multiple of w and 222?
1554
Let o = 49 + -45. Let c be 4 + o + 3 + -7. What is the common denominator of 101/44 and (-461)/70 - 4*c/80?
308
Suppose -102 = s - 133. Suppose -4*h = r - 73, -3*h + h = -5*r - s. What is the least common multiple of 15 and h?
90
Suppose 57*c - 97*c - 4419 = -11699. What is the smallest common multiple of 52 and c?
364
Let l be 4 - (-2211)/(-6) - (-10)/4. Calculate the common denominator of 2/(-5)*5/(-9) and (-8)/(-960)*-2*l.
90
Let y = 97/20 - -17/5. Suppose 16 = m + 4*i, -5*i + 19 = -6. Find the common denominator of y and m - (-2)/(-48)*(2 - 5).
8
Suppose -a - 3*f = 10152, -4*a + 6*f = 7*f + 40608. Let h = 142055/14 + a. Calculate the common denominator of h and 81/22.
154
Suppose -m - 1986 = -c, -88*c + 5*m - 8025 = -92*c. What is the smallest common multiple of c and 798?
3990
Suppose -3115 = 3*m + u, -23*u + 20*u = -2*m - 2095. What is the common denominator of 4537/m - -3*1 and -149/30?
240
Calculate the common denominator of 1142/319 - (-3696)/(-1056) and -17/348.
3828
Let d = 41 - 41. Let r be -1 - 123/(d - -3). Let t = r + 44. Calculate the smallest common multiple of t and 54.
54
Calculate the common denominator of -7 - (27/(-45) - (-392)/20) and -6/155.
155
Suppose 25 = -5*w - 4*m, 0 = 5*w + 5*m + 18 + 7. Suppose 134 = 7*a - 34. Calculate the common denominator of 29/4 and a/140 + 3/w.
28
Suppose -8547279 = t - 5*t - 5*j, 4*j = 2*t - 4273620. Let h be (-645292)/t + 6/(-27). Let y = h + 2/1349. What is the common denominator of -41/18 and y?
396
Let u = 324 - 284. What is the common denominator of 25/27 and (61/(-2))/(60/u)?
27
Suppose 0 = -8*a + 6*a - 4. What is the common denominator of -31/12 and (a/(-40))/(22/(-1364))?
60
Let a(g) = 6*g**2 - 55*g - 51. Let u be a(21). Suppose -18*q - 12*q = -u. What is the lowest common multiple of q and 42?
336
Suppose -154820 = -69*b + 32083 - 37863. What is the lowest common multiple of b and 24?
2160
Suppose 20 - 9 = -d + 3*r, -d = r - 25. Find the common denominator of d and 49/10 - 2/(-2).
10
Calculate the least co