ppose p*u - 42 = n, -u - 2 = 2*n - 18. What is the lowest common multiple of y and u?
40
Let z = 27403/43890 + -129/266. What is the common denominator of 139/102 and z?
5610
Suppose -z = 7*w - 4*w - 76, -4*w + 116 = 5*z. Suppose 2*j - 25*r + 20*r = -36, -4*r = 2*j. Calculate the least common multiple of 4 and ((-10)/j)/(6/w).
20
Suppose -3*p = p - 12. Calculate the common denominator of 222/(-20) + -3 + p and 8/4 + 174/(-40).
20
Find the common denominator of -38/109 and 13439/(-302)*((0 - -1) + -2).
218
Let b(h) = -h**3 - 14*h**2 + 15*h - 3. Let a be b(-15). Let i be (3/(-3))/(a/(-81)). Calculate the common denominator of 49/16 and (i/144)/(6/178).
16
Let h = 13 - 5. Calculate the lowest common multiple of h and 73.
584
Let o = 4044/5 - 736011/910. Let y = 5891/7280 - o. What is the common denominator of (-10)/6*6/(-28) and y?
112
Let y = -1960176/11 + 178392. Let v = 818176/4213 - y. Let l = 8633/8426 + v. Calculate the common denominator of l and 9/8.
88
Let h be 9*(-3 - 11/(-3)). Suppose -h*p - 48 = -3*p. What is the least common multiple of ((-135)/(-36))/((-6)/p) and 12?
60
Suppose -4*m = -2*o + 7*o + 32, -o - m - 7 = 0. Let x = 1 - o. Suppose 0 = w - 5 - x. What is the least common multiple of 11 and w?
110
Let f be (18 + 4/4)/1. Let b = f - 27. Let x(g) = -2*g - 11. Calculate the lowest common multiple of x(b) and 20.
20
Let j = 47 + -46. Suppose 3*h - 1 = 8. Calculate the least common multiple of 1*6*(j + h) and 4.
24
Suppose -107 - 373 = -20*a. Calculate the lowest common multiple of 21 and a.
168
What is the common denominator of ((-85)/90)/(52/84) and -11/52?
156
Let m = -8688079/2647776 - -2/82743. Let q = m - -163/96. Calculate the common denominator of q and 85/2.
12
Let h = 4753/2260 + -6/113. Find the common denominator of h and 79/12.
60
What is the common denominator of 83/48 and 4*(-2)/(-52) - 21597/2392?
48
Let p = 667 + -1283/2. Let g = -1/1014 + -11069/507. Find the common denominator of p and g.
6
Suppose -3729 = 3*d + 4233. Let u = -58467/22 - d. What is the common denominator of u and 91/4?
44
Let p = 325/116 - 6923/2088. Find the common denominator of p and -95/58.
2088
Let y be 64/(-4) - (5 + -6). Let k = 22 + y. Calculate the least common multiple of 2 and k.
14
Suppose -2*a - 8 = 0, -4*v - 13 = -9*v + 2*a. What is the least common multiple of 6/(-3) + 13 + -1 and v?
10
Let n = -4780803/2515928 + -115997720245037/3580165544. Let q = n + 32402. Let p = q - 318763/62612. Calculate the common denominator of 56/9 and p.
99
Suppose -70*d = 3*t - 75*d - 16, 4*t + 4*d = 0. Calculate the least common multiple of 6 and t.
6
Let u(m) = -3*m - 13. Let o be u(-6). Suppose 0*x + o*c + 55 = 2*x, 3*c - 11 = -x. Suppose -5*f = -0*f - x. What is the lowest common multiple of 3 and f?
12
Let q = -12373 + 4704. Let l = -4528 - q. Let w = 18889/6 - l. Calculate the common denominator of 41/8 and w.
24
Calculate the least common multiple of 3/(-6) + (-5)/(-2) and (7 - 15/2)/((-3)/96).
16
Suppose -2*t + 5*t = 0, -2*t - 12 = -4*x. Suppose 0*z = -x*z. Suppose 2*f = -z*f - 2*w + 6, -3*f = -w - 5. Calculate the smallest common multiple of f and 12.
12
Suppose 5*m + 4*c - 25 = -c, 0 = 4*m + 3*c - 21. Calculate the lowest common multiple of 159 and m.
318
Suppose 0 = 2*k + 3*m - 591, 66 = -3*k - 2*m + 945. What is the lowest common multiple of k and 1?
291
Let v(q) = -q**3 + 10*q**2 + q - 15. Let g be v(8). What is the common denominator of 6/2 - 715/g and -27/13?
143
Find the common denominator of (4/5)/(-2) + ((-160402)/(-2860))/23 and (-130)/132 - (-1)/(-3).
286
Let v = -171 - -174. Let h = -40 - -46. Calculate the smallest common multiple of v and h.
6
Let z(b) = -31*b - 429. Calculate the lowest common multiple of z(-15) and 0 + 3 + 2 + -1.
36
Let j = -144 + 254. What is the least common multiple of 88 and j?
440
Let h(s) = 44*s - 174. Calculate the lowest common multiple of h(5) and 48.
1104
Let t be 2 + -3 + ((-326)/30 - -2). Let j = t - -313/40. Calculate the common denominator of -55/24 and j.
24
Let w = -9113 - -1239423/136. Let d = w - -4307/952. Find the common denominator of d and 139/12.
84
Let h be 95148/(-14) + 4/14 + -1. Let l = h - -54287/8. What is the common denominator of 143/6 and l?
24
Suppose -z - 4*z - 120 = 0. Let y = z + 26. What is the lowest common multiple of 18 and 272/20 + y/5?
126
Let g be 7/(546/4)*(-90417)/4. Let y = 1159 + g. Calculate the common denominator of y and 17/14.
182
What is the common denominator of (12/48)/((-440)/(-384)) and 1/90?
990
Let t = -5421 + 238435/44. Calculate the common denominator of t and 61/55.
220
Suppose -6*n = 7*n - 1300. Calculate the smallest common multiple of 50 and n.
100
Let s = -309/7 + 2407/42. What is the common denominator of -73/60 and s?
60
Suppose -2*z + q + 7 = 0, z = -4*z - 2*q + 22. What is the least common multiple of 479 and z?
1916
Let z be 3981/378 + -2 - -1. Let n = -177/14 + z. Find the common denominator of (-11)/(-5) - (-7)/(-14) and n.
90
Let u be 0/3 - 1*-3. Suppose 5*g = -4*f + 8*f - 177, u*f - 147 = -g. Find the common denominator of -77/16 and (-5)/15 + (-191)/f.
16
Suppose 0 = -2*l - 3*b - 96, -5*b = -2*l - 160 + 64. What is the common denominator of 9/23*(-8)/l and -97/22?
506
Let m = 104031/17759 + -2/2537. What is the common denominator of -51/14 and m?
14
Let k = 25549 - 281459/11. Let h = -2997/88 - k. Let t = 33383/10 - 3335. Calculate the common denominator of t and h.
40
Find the common denominator of 25/4 and ((-188)/(-44) - 4)*(-102)/(-12).
44
Let u = -13 + 157. Suppose -31*n + 37*n = u. What is the least common multiple of 2 and n?
24
Suppose 19*t - 39 = 37. Calculate the lowest common multiple of t and 190.
380
Suppose -3*k + 4*k + 7 = -3*o, 0 = -2*k + 10. What is the least common multiple of 10 and 1 - (24 - -4)/o?
40
Let t = 3737 + -2605. What is the smallest common multiple of 16 and t?
4528
Let l = -62873/66297 - -18/2009. Calculate the common denominator of l and 44/(-72)*(-15)/2.
132
Let g = 2/81 - 361/405. Find the common denominator of 52/9 and g.
45
Let r = -18 + 30. Find the common denominator of 43/6 and ((2/65)/2)/(r/(-1270)).
78
Let b = -61263/6536 - 3/1634. Find the common denominator of ((-92)/(-10))/((3 + -2)*2) and b.
40
Let m be -2 + -2 + 2 + 4. Let o = 3 + m. Calculate the smallest common multiple of 8 and o.
40
Suppose 3*d + 8*d = 88. Find the common denominator of 4/23 and ((2 - -33) + 7)/((-66)/d).
253
Let w be 5/(15/54)*(-14)/(-42). Suppose 16 = w*x - x + l, 5*x = -2*l + 12. Suppose -4 = -d + 4. What is the lowest common multiple of d and x?
8
Let o(c) = 9*c**3 + 2*c**2 - 2*c + 2. Let w be o(3). Let f be (2/w)/(5 - 0). Let k = f - 39843/5140. What is the common denominator of k and -48/5?
20
Let x(k) = k**3 + 8*k**2 - 2*k - 10. Let r be x(-8). Suppose -y - 2249 = -4*n, -n + r*y + 566 = 2*y. Calculate the common denominator of n/154 - 8/28 and 89/8.
88
Suppose 37*j + 2234 - 8376 = 0. Calculate the smallest common multiple of 3 and j.
498
Let o(q) = -q**2 + q + 110. Let z be o(0). Let c = -4/6019 - -607991/108342. What is the common denominator of 2/(5/(z/(-72))) and c?
18
Let x = 78 + -23. Calculate the lowest common multiple of x and 50.
550
Calculate the common denominator of 55/39 and (-27)/45 - (-2608)/1080.
351
Let s be 206 - (3 - 3)/4. Let c = 11 + -7. Suppose 3*b - 4*m + m = 126, 5*b - s = c*m. Calculate the smallest common multiple of 20 and b.
380
Suppose 8*d = 12*d - 160. What is the least common multiple of 14 and d?
280
Let n = 13713 - 274171/20. Let i(q) = -3*q**3 - 3*q - 2. Let p be i(-1). Calculate the common denominator of 189/(-18)*6/p and n.
20
Let b = -132 + 146. Calculate the least common multiple of 20 and b.
140
Suppose -36*b + 4 = -32*b. Calculate the least common multiple of (5 - 4)*(-3 + 5 + b) and 15.
15
Let g = 272/111 + -9195/3848. Calculate the common denominator of 58/27 and g.
2808
What is the common denominator of 1/17 and 1877/84 - 12 - 2/21?
68
Let g be 39/(-9)*(-18956)/50. Let u = -13/25 + g. Let x = 1657 - u. Calculate the common denominator of x and 125/6.
6
Suppose 0 = 2*p + 4*c - 328, -2*p - 5*c + 130 = -200. What is the smallest common multiple of 16 and p?
160
Let v = -1717633/4934972 + -3/62468. Calculate the common denominator of -11/26 and v.
2054
What is the comm