 Find the common denominator of b and 131/24.
24
Suppose -84*a + 81*a + 27 = 0. What is the lowest common multiple of 123 and a?
369
Let g(v) = -v**2 + 5*v + 2. Suppose -5*t = 55 - 85. Calculate the lowest common multiple of g(5) and t.
6
Suppose -2*h - 14 = -5*w + 13, 0 = -5*w - 3*h + 22. Let g = w + 11. What is the least common multiple of 52 and g?
208
Let h = 3/2848 - -56921/37024. What is the common denominator of 1*-2 - 246/30 and h?
65
Let t(p) = 10*p - 52. What is the least common multiple of t(7) and 21?
126
Let d = -43 + 44. What is the common denominator of 27/(-24)*(20/2 + d) and -89/58?
232
Let q = -3/5597 + 800407/67164. What is the common denominator of -41/252 and q?
252
Let v = -1004 - -1036. Calculate the least common multiple of 20 and v.
160
Suppose 30*v + 48 = 38*v. What is the smallest common multiple of v and 240?
240
Suppose -2*d - 22 = -5*t, d + t - 3*t + 10 = 0. Let j = 12 + d. Suppose 2*y + 2 = 3*y. What is the smallest common multiple of y and j?
6
Let n = 266/17 + -248/17. Calculate the common denominator of (-20)/(-3)*(-300)/(-440) and n.
187
Let u be 13 + 2 - (-3 + 6). Let v be ((-9)/u*-4)/1. Suppose 4*i - 28 = -5*s + i, v*s + i = 20. What is the smallest common multiple of s and 11?
88
Let t be (-1204)/20 + (-5)/(-25). Let y = -34 - t. What is the lowest common multiple of 4 and y?
52
Suppose -3*n + 14 = -3*j - 16, 3*j = -6. Calculate the common denominator of (n/(-10))/((-12)/(-50)) and (21/35)/(54/40).
9
Let t = 1101 + -1095. What is the lowest common multiple of 287 and t?
1722
What is the common denominator of 5*5/870*40/(-16) and 31/638?
3828
Suppose -8*j + 4*j + f = -25, 9 = 3*j - 4*f. Calculate the common denominator of -13/24 and (j - 1066/120)/((-2)/(-4)).
120
Let i(u) = u**2 - 13*u - 9. Let r be i(9). Calculate the common denominator of 14 and (-98)/(-8)*30/r.
6
Let b(o) = -o**2 - 13*o + 6. Let q be b(-13). Suppose a = d - 5 + 13, -a + 4*d = -20. What is the smallest common multiple of (160/(-24))/((-4)/q) and a?
20
Suppose -7*u + 130 = -2*u. Suppose -c - u = -3*c. Calculate the least common multiple of c and 10.
130
Suppose 4*x + 0 = -4, 2*x = 4*j + 94. Find the common denominator of j and 1 - 8/20 - 6838/1430.
11
Find the common denominator of 51/4 and (1/3)/(3 + (-1586)/510).
28
Suppose -4*z = z - 535. Let k = 84619/9 + -9510. Let r = k + z. Find the common denominator of -12 and r.
9
Let d = 283/2 + -164. Suppose -21 = -4*c + 5*b, -c + 4*b = 5 - 13. Calculate the common denominator of ((-194)/132)/(65/15 - c) and d.
22
Suppose -5*w + 166 = -3*b, 5*b + 5*w - 4*w = -230. Calculate the common denominator of 75/8 and b.
8
Suppose 6*k + 260 = 8*k. Find the common denominator of 49/3 and k/72 + 2/(-8).
9
Let h(o) = -o**3 + 2*o**2 + 4*o + 2. Suppose 16 = -4*t - 56. Calculate the lowest common multiple of h(-2) and 8/6 - (1 + 30/t).
10
Let q(o) = 14*o + 176. Calculate the least common multiple of q(-12) and 9 + 2*2/2.
88
Suppose -2*d + 40 = -i, -d = -5*d - 5*i + 52. Suppose -56*c = -52*c - 24. What is the least common multiple of c and d?
18
Let v = 1096/25 - 16853/450. Let n = 23081/12 + -1920. What is the common denominator of v and n?
36
Suppose 7 = -4*n + z - 2, 0 = 3*n + 2*z + 15. Let o = 108 - 116. What is the common denominator of n - -1 - (-53)/o and -2/9?
72
Calculate the smallest common multiple of 72 and 96/3 + (-24)/(-6).
72
Let f = -147 - -81. Suppose -3*t = 3*b - 39, 5*t = b + 2*t - 1. Calculate the smallest common multiple of b and 2/(-8) - f/8.
40
Let i(m) = 3*m + 3 + 1 - 6*m - 12*m. Let o be i(2). Let w = 40 + o. Calculate the smallest common multiple of w and 2.
14
Let s(q) = q + 2. Let d be s(6). What is the common denominator of -43/14 and d/(-16)*69/5?
70
Find the common denominator of (-308)/(-280) + -3 + 0 and -101/186.
930
Let v be 4 + (-4132)/596 + (-3)/(-1). Let y = v + -7957/894. Let r = -44773/2596 + -2/649. Find the common denominator of y and r.
12
Suppose 14*k - 5*k = -4815. Calculate the common denominator of (-8)/(-10) + k/200 and -53/11.
88
Let i be (434/(-18522))/((-2)/33). Let w = i - 87/49. Find the common denominator of w and 77/16.
144
Suppose 2*a - 64 = -5*o, -4*a = 3*o - 102 + 2. What is the smallest common multiple of a and 334?
3674
Let a = 42451/8 + -5313. What is the common denominator of a and (-290)/8*2/(-20)?
8
Let h be -2 + 0 + 7/7. Calculate the smallest common multiple of 7*(h - -6 - (-9)/(-3)) and 7.
14
Let c = 422 + -415. Calculate the smallest common multiple of 5 and c.
35
Calculate the common denominator of -101/22 and 2695/(-5082) + 0/(1*-3).
66
What is the common denominator of 2/(-5)*(-560)/(-63) and -58/903?
2709
Suppose 0*g = -g + v + 13, -21 = -2*g + 3*v. Calculate the common denominator of g/(-4)*11/(-33) and 63/22.
22
Let o be ((-301)/2)/((-45510)/1792). Let w = o - -11/1517. Find the common denominator of w and (-2)/8*-7*143/(-26).
120
Suppose 0 = z + 3*z. Let o be 2/((-104)/(-159580)) - z. Let b = o - 3073. Calculate the common denominator of b and -75/4.
52
Let h(n) = -22*n - 14. Suppose -2*w = 2*w - 88. Calculate the least common multiple of w and h(-3).
572
Suppose 2764 - 784 = 66*h. Suppose -2*i - 4*c = -30, -4*c - 33 = 2*i - 3*i. Calculate the lowest common multiple of i and h.
210
Find the common denominator of (5/(-18))/((-1)/69) and (1/2)/(12/474).
12
Let u be 3 + (15 - 2) + 2. Let r(s) = 2*s - 33. What is the lowest common multiple of r(u) and 30?
30
Let t(a) = a**3 + 22*a**2 + 4*a + 36. Let r be t(-26). Let w = -27779/10 - r. Find the common denominator of w and 1/10.
10
Let c = 10909 + -8345446/765. What is the common denominator of c and 61/30?
1530
Let d be (-2)/6*(10162/(-6) + -2). Let j = 566 - d. Calculate the common denominator of j and 68/33.
99
Suppose -158*z + 96 = 4*m - 161*z, z + 88 = 4*m. What is the least common multiple of m and 7*(-1 + 4/2)?
21
Suppose -6*s - r + 221 = -5*s, -5*s - 4*r + 1106 = 0. Calculate the lowest common multiple of s and 18.
666
Let h be 9 + -4 + -4 - -21. Suppose 0 = -2*b - 3*z + h, 5*b + 5*z - 36 = 19. What is the smallest common multiple of 9 and b?
99
Let y(r) = r**3 - 12*r**2 + 12*r - 15. Let q be y(11). Find the common denominator of 67/22 and (-12957)/3780 + q/18.
220
Let p = 443/3 - 9545/66. Let g = -7511 - -1657. Let o = g - -117129/20. What is the common denominator of p and o?
220
Find the common denominator of -23/54 and (-8)/2 + (10 - 136/192).
216
Let l be (-5)/((-5)/1) + 1. Let u = l + 0. What is the lowest common multiple of 12 and u?
12
Suppose 2*b - 23 - 29 = 2*w, -3*w = -5*b + 88. Let n = -18 - w. Suppose -t - t = -3*r + 64, 36 = 2*r - n*t. Calculate the smallest common multiple of 20 and r.
120
Suppose 0*k = 3*k - 36. Let t = -23 - -43. Suppose -20 = -5*d, 0*d - 3*d = -2*q + t. What is the lowest common multiple of q and k?
48
Let t = -25 + 36. Let x = 29 - t. What is the smallest common multiple of 9 and x?
18
Let m(o) = o**2 - 11*o - 3. Let s be m(11). Suppose 3*b = 7*b - 12. Calculate the common denominator of b/s*(-59)/7 and 91/20.
140
Let i be -1 - (-6)/((-108)/179835). Let m = 10014 + i. Calculate the common denominator of -37/44 and m.
132
Suppose -4*m = -m + 54. What is the lowest common multiple of 28 and 4/m + 52*28/72?
140
Let i = 11942 - 238727/20. What is the common denominator of i and 71/40?
40
Let f be (-16)/(-4) + -1 - 0. Let h = f - -2. Suppose h*b = -5*t + 25, -4*b + 18 = -2*t + b. Calculate the lowest common multiple of 6 and t.
6
What is the common denominator of 55/48 and (-1)/4 - (3 + 4411/(-1452))?
528
Suppose -2*x - 326 = -4*p, p = -5*x - 577 - 282. Let z = -562/3 - x. Calculate the common denominator of z and 41/15.
15
Let n be (11 - 14) + 174/2. Suppose f + 3*f = -n. Calculate the common denominator of f/(-14)*(-64)/(-9) and -64/3.
3
Let v = 13310/7 - 1477886/777. Calculate the common denominator of v and 43/5.
555
Let l = -3 - -3. Suppose p + 0*p - 4 = 0. Calculate the lowest common multiple of 4 + l - (7 + -13) and p.
20
What is the common denominator of 17/135 and 10/(-4)*2 + 52073/11610?
270
Suppose -5*n - 32 = -7, -2*y = -5*n - 31. Suppose -10 = p - 5*t, 4*p + 44 - 4 = y*t. What is the lowest common multiple of ((-9)/15 - 1)*p and 6?
48
Let j = -135 + 279. Calculate the smallest common multiple of j and 144.
144
Let z be 3040/15*(-3)/(-2)