5*t + 14518 = 14*x, t = 5*x - 36268. What is the least common multiple of x and 12?
14508
Let i = 728 - 448. What is the lowest common multiple of 3/(-4)*i/(-7) and (54/(-4))/(13/(-26))?
270
Suppose 79*q + 4*c = 74*q + 2082, -3*c + 830 = 2*q. What is the lowest common multiple of 133 and q?
2926
Let k = -2461 - -2483. Calculate the lowest common multiple of k and 100.
1100
Suppose -1063*d + 20 = -1062*d. Let r(o) = -o - 1. Let b be r(-3). Suppose -b*a = 3*a - 60. Calculate the smallest common multiple of d and a.
60
Suppose -504 + 184 = -4*p. Let w = p + -74. Suppose w*m = -79 + 211. Calculate the lowest common multiple of m and 62.
682
Calculate the common denominator of (-36256)/143520 - (-6)/20 and 11/2.
1794
Find the common denominator of 5/((-200)/68) + 3 and 8/224*-242 + 6.
70
Calculate the smallest common multiple of (-27)/((-1512)/28688) + 4/(-14) and 256.
512
Suppose -2*u - 24 = -10*u. Suppose -4*p + 640 = -4*t, -2*t - u*p - p - 314 = 0. Find the common denominator of (1/(-21))/(156/t - -1) and -37/3.
21
Suppose -3*l = -6, -4*a - 12 = l - 3*l. Let c = -3243/4 - -804. What is the common denominator of (85/(-20))/(a - 2) and c?
16
Let q = 1444/21 + -124169/1806. Calculate the common denominator of q and 85/1806.
1806
Let w(k) = 8*k**2 + 21 - 3*k - 36 + 21. Let u be w(4). Find the common denominator of u/6*((-185)/(-50) - 4) and 19/14.
70
Suppose 40*l = 47*l - 259. Suppose 5*i + l = 2*r + 4, -12 = 4*i. Suppose -2 = z - 4. What is the least common multiple of r and z?
18
Let y = 87514 - 87508. Let x(v) = v + 13. Let s(n) = n + 20. Let j(c) = 5*s(c) - 8*x(c). Calculate the lowest common multiple of j(-6) and y.
42
Let x = -7114 + 192128/27. Let c(h) = 6*h**2 - 3*h. Let r be c(2). Find the common denominator of x and r/(-60)*(-152)/9.
135
Let n be 18/54*(-302*3)/2. Find the common denominator of (-9)/6*n/36 and 16/(-10) + 2 - 471/(-360).
24
Calculate the common denominator of -79/1050 and (-21)/1800*1364/(-308).
4200
Suppose -39 = 2*j + 69. What is the common denominator of ((-1)/(-6) - 0)*82 and -73*((-84)/j + (-3)/2)?
18
Let p = -229/47 - 943/1128. Calculate the common denominator of -89/138 and p.
552
Let t be ((-2182)/1836)/((-35)/(-15) + -2). Let k = t + 26/51. Calculate the common denominator of (-158)/(-24) + (0 - 0) and k.
36
Suppose -5*l + 9281 = h, -h - 3*l = -14958 + 5671. What is the smallest common multiple of h and 40?
46480
Find the common denominator of 58/1085 and (1278/(-1575))/((-144)/60).
6510
Let p be -18 + 11 + 15612/2211. Let b = p - -120503/66330. What is the common denominator of 137/90 and b?
90
Let m be ((-76)/(-190))/(1/(-270)). Let t = m + 324. Calculate the lowest common multiple of t and 12.
216
Let s = 372 + -377. Calculate the smallest common multiple of 114 and (225/60)/(s/(-24)).
342
Let j = -267 + 271. Find the common denominator of (-1)/j + (15/36)/(-5) and (575/35)/((-36)/14).
18
Let a be ((-4 - 0)/(-4))/((-5)/45). What is the common denominator of 11/54 and 2 + 21/a + (-665)/152?
216
Suppose 47 = 3*t + 5*b, -2*b + 21 + 65 = 4*t. Find the common denominator of 65/6 and (-102)/(-56)*13/(351/t).
42
Suppose 0 = 3*g + 3*c - 21, g - c + 11 = 3*g. Calculate the smallest common multiple of 88 and (260/39)/5 - g/(-6).
88
Let q be 68224/(-306) + 224/(-36) + 6. Let d = 112783/510 + q. Find the common denominator of d and -8/27.
270
Let p = -20/1887 + 114049/18870. What is the common denominator of p and (-16)/((-384)/18) - (-295)/(-108)?
270
Suppose -27*f = 8*f - 70. Suppose f*p + k = p + 10, -5*k + 20 = 0. What is the lowest common multiple of p and 216?
216
Suppose -128*h + 131*h + 5*n = -6, 0 = n + 3. Let k = 6 - 4. Suppose k*i - h*s = 12, 3*i + s = -2*i + 47. What is the lowest common multiple of 6 and i?
18
What is the common denominator of 25637/1838 - (136 - 122) and 21?
1838
Let a = -15431 + 15495. What is the lowest common multiple of (0 - 16)*(-9)/2 and a?
576
Let n = 30689 - 30714. What is the common denominator of n and -145/44442?
44442
Suppose 2*n = -3*n + 1230. Suppose n*g - 258*g + 96 = 0. Let z = 5 - 4. What is the smallest common multiple of g and z?
8
Let k(r) = 5*r**3 + 6*r**2 + 4*r - 11. Let x be 122/42 + 180/1890. Calculate the least common multiple of k(x) and 110.
2090
Let d be (-116)/252*6/(-8). Let j = -5/28 + d. Let z = -39868 - -717677/18. Find the common denominator of z and j.
18
Let h = 248880757/2301 + -108162. Calculate the common denominator of h and 79/2.
4602
Suppose -866 = -346*w - 231*w + 144*w. Suppose 4*k = -0*k. Suppose k = c - 3*c + 16. What is the smallest common multiple of c and w?
8
Suppose 0 = 7*y + 24*y - 930. Suppose x = 11*x - y. What is the lowest common multiple of 15 and x?
15
Let p be (-820)/(-64)*(-15054)/9. Let o = p - -21428. What is the common denominator of o and -49/24?
24
Let h = 826636/401905 + 4/11483. Let f = 214663/30 - 7153. Calculate the common denominator of h and f.
210
Let b be 1 + 1 - 0/(-15). Suppose -b*l - 34 = -q, -q - 4*q - l = -225. What is the least common multiple of 4 and q?
44
Suppose 2*g = -3*g - 1395. Let s be 9/36 - g/4. Suppose 5*n + 10 = s. Calculate the lowest common multiple of n and 2.
12
Suppose 5*p - 7 = 2*o + 15, -4*o = 2*p - 4. Suppose 3*u - 4*m = -22, p*m - 7 = -u + 7. Calculate the lowest common multiple of (-142)/(-6) - u/6 - 0 and 15.
120
Suppose 68*p - 412 = 31*p + 254. Calculate the lowest common multiple of 54 and p.
54
Calculate the common denominator of 30/(-108)*333/60 and ((-141)/1880)/(0 - (-12)/105).
96
Let v = 935322/55 - 17007. Calculate the common denominator of v and (-58 - -5 - 9)/(-70).
385
Let r = -14/47701 - 1421499/195001688. What is the common denominator of r and 7/88?
44968
Let w = 2 + 1. Let h(p) = 4*p**2 - 569*p - 5436. Calculate the smallest common multiple of h(-9) and w.
9
Suppose 8*u + 5*k + 43 - 406 = 0, 45 = u + k. Let c(s) = -4*s + 2. What is the lowest common multiple of c(-5) and u?
506
Let c = 15 + -3. Suppose y - 54 = -h + 3*y, 0 = 3*y + c. What is the least common multiple of h and 10?
230
Let n = 17918 + -17882. Calculate the lowest common multiple of 308 and n.
2772
Calculate the least common multiple of (8/(-1) + 4 + -2)/((-9)/60) and 33.
1320
Suppose 1551 = 9*j - 1122. Calculate the smallest common multiple of 4785 and j.
43065
Suppose 2*t + 4*q + 42 = 0, -1 = 4*t - 4*q + 35. Let j = 85124 + -85104. What is the common denominator of j and t?
1
Suppose -88*t = -170*t + 107*t - 14750. What is the smallest common multiple of t and 20?
1180
Calculate the common denominator of -24 and 375/(-50)*3/(-15)*(-218)/53394.
17798
Let q = -319/18 + 17. What is the common denominator of q and (-3 - -6)/(-9) - 1302/2016?
144
Let v(x) = x**3 - 9*x**2 + 3*x - 24. Let k be v(9). Suppose -54 = -15*d - k*d. Calculate the least common multiple of (4 - -4)*94/8 and d.
282
Let r = 40 + -40. Suppose -4*t + t + 76 = -x, -3*t + 5*x + 80 = r. Suppose 3 = -5*d + 3*c + 64, 3*d = -4*c + t. What is the lowest common multiple of d and 8?
88
Suppose 77 = b - 0*b. Suppose -16*r = -5*z - 2*r - 13*r + 110, 0 = r - 0*r. What is the smallest common multiple of z and b?
154
Let b = 162730/1463 + -2104/19. Calculate the common denominator of 3/(-126)*(1 - 20) and b.
462
Find the common denominator of -125/504 and (-59)/360 - (-10 - 342/(-36)).
2520
Suppose -3*a - 1719 = -2*f, 2*f = -4*a - 194 + 1906. Let i = f - 830. What is the least common multiple of 28 and i?
28
Suppose -9*n + 10*n = 513. Let w = n + -304. Calculate the common denominator of (4/96)/(3 + w/(-70)) and -89/36.
36
Let w = 150 + -165. What is the common denominator of (-4)/(-20) - (-4)/48*w and -57/10?
20
What is the smallest common multiple of 347 and (-1148)/(-84) - 10 - (-2)/6?
1388
What is the smallest common multiple of 356 and 24/(-84) - (-7 + 578/(-14))?
4272
Let n be (-1)/(4 - 5)*6908/(-1). Let r = n + 594069/86. Calculate the common denominator of -95/12 and r.
516
Let f(i) = 29*i**2 - 3*i. Calculate the least common multiple of (16/(-3))/((-238)/21 + (-275)/(-25)) and f(3).
1008
Let v(w) = -w**2 + 5*w + 18. Calculate the lowest common multiple of 498 and v(6).
996
Let c = 17027/65704 - 369/764. Find the common denominator of c and -121/72.
3096
Let s = -347/5 + 127718/1845. Find the common denominator of s and -31/6.
738
Let k = 40 + -37. W