.
144
Suppose 27 = 7*i - 8. What is the smallest common multiple of 16 and i?
80
Let c(w) = w + 60. Let g be c(-25). Suppose g*f - 45 = 30*f. What is the lowest common multiple of 7 and f?
63
Let b = 151/126 + -14/9. Let v be (-498)/(-4)*23/(-3). Let o = v - -984. What is the common denominator of b and o?
14
Let g be (171/6)/(2 - 5277/2622). Let v = 2269 + g. Calculate the common denominator of -3 and v.
11
Let g = -475/2 - -252. Calculate the common denominator of g and (0 + 26)*(-3)/(-22).
22
Suppose 3*o = 2*o + 14. Suppose -452 = -6*c - 440. Calculate the lowest common multiple of o and c.
14
Suppose -82*b + 796 = -553 + 201. Let w be 2/1*(-9)/(-2). Calculate the least common multiple of b and 6/w*(-1 + 7).
28
Calculate the lowest common multiple of 2/(-3 + 32/60*6) and 12.
60
Let h(o) = o**3 + 5. Let a = -21703 - -21709. Calculate the smallest common multiple of a and h(0).
30
Suppose -8*m + 60 = -5*m. Find the common denominator of -105/38 and 117/(-48)*m/(-15).
76
Let s = 2/283475 + 443551/566950. What is the common denominator of -91/34 and s?
170
Let k be ((-4)/(-65))/(30/799075). Let l = -1639 + k. Let a = l + -3403/78. Find the common denominator of 97/16 and a.
16
Let l = 5561509/57204 + -1/6356. Let v = -1607/18 + l. Let y = -97901/9708 - -1/809. Find the common denominator of y and v.
36
Let h be (-18)/(-12) - (-90)/28. Let v = -365/28 - h. Find the common denominator of -14/5 and v.
20
Let p = -7 - 7. Calculate the smallest common multiple of 15 and 2/(-7) + (-382)/p.
135
Suppose 0 = m + 5*l - 45, 91 = 5*m + 5*l - 34. Let b(u) = -2*u + 24. Suppose y + c = -2*c + 11, 6 = 3*c. What is the least common multiple of m and b(y)?
140
Let r be 17 - -5*6/(-10). Suppose 62 - r = 4*d. Calculate the lowest common multiple of d and 2.
12
Let n = -51 - -74. Suppose 4*a - 24 = 5*r, -19 = -3*a - 4*r - 1. What is the lowest common multiple of a and n?
138
Suppose 0 = 9*d - 5*d. Suppose y + s = -12, -3 = -s - d*s. Let g = -8 - y. What is the lowest common multiple of g and 3?
21
Suppose -b - b = -44. Suppose 5*m - 13 = b. Suppose 0 = -o + 5, -5*v = -5*o + 2 - m. What is the lowest common multiple of 14 and v?
42
Let s = 144 - 64. Calculate the lowest common multiple of 240 and s.
240
Let j = 5/79 + -2805/632. Calculate the common denominator of 9 and j.
8
Let k(x) = -4*x - 6. Let z(t) = t**3 - 5*t**2 - 2*t + 15. Calculate the smallest common multiple of z(5) and k(-5).
70
Let j = 135/4 - 59/2. Let t = -9857/11 - -894. Find the common denominator of j and t.
44
Suppose 3 = 2*d + d. What is the common denominator of (-243)/12 - (0 - d) and 131/24?
24
Let v(g) = -44*g - 200. Calculate the least common multiple of v(-5) and 29.
580
Let n = 5538 - 3290. Let z = 53941/24 - n. Find the common denominator of -73/12 and z.
24
Let y be 663433/126 + (-6)/21. Let i = -5260 + y. Calculate the common denominator of i and -59/4.
36
Let s(m) = -9*m - 3*m**2 - 4*m + 7*m + 4*m**2 - 5. Suppose 4*o + 13 - 49 = 0. Calculate the smallest common multiple of 14 and s(o).
154
Find the common denominator of (-2712)/144*(-3)/(-56) and 89/2.
112
Suppose 2*f - 4 = -10. What is the common denominator of ((-2)/f)/(-2) - (-805)/(-1104) and -65/18?
144
Calculate the common denominator of 5/198 and ((-6)/264)/(5*(-3)/(-490)).
198
Let l be (-324)/1085 - (-4)/14. Let b = 4780/223 - 2788991/138260. Let g = l + b. Find the common denominator of -5/4 and g.
4
Suppose 4*d - 11 = 29. Suppose -3*t = -44 - 64. Suppose -106 = -5*a - t. What is the least common multiple of d and a?
70
Let p(q) be the third derivative of -q**4/24 + q**3/2 - 3*q**2. Suppose -2*l - 6 + 26 = 0. Calculate the lowest common multiple of l and p(-9).
60
Let g = -1235/2 - -589. Let q = 2715/2 - 5339/4. Find the common denominator of g and q.
4
Suppose -5*g = -11 - 29. Let l = 39 - 41. What is the lowest common multiple of g and (-12)/(-8) + 1/l?
8
Let a(o) = -6116*o - 1194*o - 2 + 5 - 6573*o. Let j be a(1). Let y = j - -416437/30. What is the common denominator of y and -79/8?
120
Find the common denominator of -51/8 and (-1)/(-5) - (-5382)/1040.
8
Let k(i) = i**3 - 10*i**2 + 4*i - 8. Let x be k(10). Suppose 0 = 17*h - 13*h + x. What is the smallest common multiple of (-3)/(-1 - 4/h) and 4?
12
Let j = -1/85368 - 3841001/47720712. Find the common denominator of j and -81/2.
1118
What is the common denominator of (-16)/(-28) - 1704/(-1232) and 37/154?
154
Let m(u) = u**2 + u - 2. Let d be m(-3). Suppose 2*l - 3*c - 28 = -0*l, 3*c - d = -2*l. Calculate the lowest common multiple of 5 and l.
40
Calculate the smallest common multiple of ((-1080)/(-96))/(15/36) and 57.
513
Let j(k) = -k - 11. Let w be j(-14). Suppose -22 + 4 = -w*c. Calculate the least common multiple of 10 - (1*-2 + 2) and c.
30
What is the common denominator of (-134)/(-24) + 6/12 and 62/93 - 394/96?
48
Let o be 0/4 + 0 - 344. Calculate the common denominator of 13/30 and (63/30)/(o/100 - -2).
120
Find the common denominator of -2*7799/26928 - (-8)/18 and -119/20.
2040
Let m = -8 - -17. Let j(b) = -m + 4*b - 3*b + 0*b + 6*b**2 - 5*b**2. Calculate the lowest common multiple of j(4) and 7.
77
Suppose 4*z = -2*c + 1184, 4*z - 5*c - 1526 + 328 = 0. Let u = z + -6021/20. Calculate the common denominator of u and ((-63)/45)/((-18)/(-35)).
180
Let y be -3*(-3 - -4) - 72. Find the common denominator of -83/14 and (2 - y/(-40))*10.
28
Suppose 337*y - 36 = 328*y. Calculate the lowest common multiple of 240 and y.
240
Let b be ((-6)/18)/((-2)/(-12)). Suppose 0*l - 5*l = 5*r - 35, 4*l = -3*r + 25. Calculate the common denominator of 18 and b/r - 68/(-18).
9
What is the common denominator of (-364)/162*219/292 and 151/6?
54
Suppose -7*c - 23 - 5 = 0. Calculate the smallest common multiple of 6 and 32 + c + (-5 - -10).
66
Suppose 18 = 2*o + 2. Find the common denominator of -73/27 and 3/o - 52/24.
216
Let z be (-1 - -1)*(-2 + 1). Suppose -d + z = -2. Find the common denominator of 6/(-54)*(-29)/d and -33/2.
18
Suppose -4*i + 26 = -2*y, 0 = 5*i + 5*y - 0*y + 5. Suppose -4*g + 2 = l - 3, -3*g + 15 = 2*l. Let v = l - 8. Calculate the lowest common multiple of i and v.
4
Let c(h) = h**3 - 9*h**2 + 5*h + 2. Let u be c(8). Calculate the common denominator of 34629/1386 + (-4)/u and -44.
6
Let h = -61 - -59. Find the common denominator of 13/(-7)*h/(-4) and 73/8.
56
Let r(z) = z**2 + 1. Suppose -f - v + 5 = 0, 15 = -5*v - 0*v. What is the lowest common multiple of f and r(-3)?
40
Suppose -3*k + 121 = 8*k. What is the least common multiple of k and 5?
55
What is the smallest common multiple of (-44)/(-33)*3 - -8 and 327?
1308
Find the common denominator of 3/2*119/1470 and -91/180.
1260
Let b = 2237 + -2174. Suppose 2 - 22 = -2*q. What is the smallest common multiple of q and b?
630
Suppose -8*n + 7*n + 4 = 0. Suppose -b = 4*b + 8190. What is the common denominator of (-5)/n*b/(-715) and 69/8?
88
Let d(p) = p**2 + p - 5. Let w = 0 - 0. Let m be d(w). Let h = m - -15. Calculate the lowest common multiple of h and 9.
90
Find the common denominator of ((-9702)/(-36))/7 + -13 and (5/(-4))/((-53)/(-2)).
106
Find the common denominator of ((-4)/(-10))/(0 - (-16)/1180) and (-106)/20 + 2/5.
10
Let s be 53/(-4) + 7/28. Let q be (2 - s/(-5))*-5. Let i = 20 + q. Calculate the common denominator of 11/3 and i.
3
Calculate the common denominator of (((-18)/(-96))/3)/(7/148) and -119/10.
140
Let x = -11028 + 198605/18. Calculate the common denominator of ((-2)/18 + (-121005)/15390)/3 and x.
342
Let k be (-2)/(4/3 + (-1 - 1)). Suppose -3*v = -5*f + 60, f - 12 = -0*f + k*v. Calculate the lowest common multiple of f and 9.
36
Let s(x) = x**3 + 7*x**2 - 16*x - 16. Calculate the smallest common multiple of 30 and s(-8).
240
Let o = -66370 + 33782310/509. What is the common denominator of o and 52/3?
1527
Suppose 436 = 4*h - 4*j, 2 = 3*j + 5. Let q be (-3)/(-2)*(-100)/(-30). What is the common denominator of h/(-2)*q/(-160) and -151/12?
48
Let t be 0 + (1*(-424)/(-4))/4. Let u = -9 - t. Find the common denominator of u and (-574)/(-110) - 2/5.
22
Let m = -3819 - -23029/6. What is the common denominator of -2/105 and m?
210
Let k = 60 - 56. Suppose -2*t - 4*b = 3*t - 124, -b = k*t - 97. Calculate the least common multiple of t and 6.
24
Let c = -30 + 30. Suppose -2*w - y - 3*y + 12 = c, -2*