. Let w = h - 235/63. Calculate the common denominator of w and 56/27.
27
Find the common denominator of 45/9094 and (15/12 + -2)/(-6*(-6)/189).
72752
Let m = -35 + 32. Suppose 4*z - 6 = 2*a - 4*a, -4*a = -z - 57. Calculate the lowest common multiple of a and 162/(-6)*1/m.
117
Find the common denominator of -47/87 and (-4067)/(-1176) - 6/9.
696
Let f = 47908 + -1724549/36. Calculate the common denominator of f and 7/324.
324
Let b(t) = 2*t**2 - 3*t + 1. Suppose -5*l - 3*w + 7 = -6*l, -5*l + 37 = 3*w. Suppose -75 = -l*c - 30. Calculate the least common multiple of b(3) and c.
90
Let f(p) = 2*p + 21. Suppose a = 6*a, 5*t = -4*a - 45. What is the smallest common multiple of f(t) and 21?
21
Let n(d) = -22*d**2 + 2*d + 7. What is the least common multiple of n(0) and 519?
3633
Find the common denominator of -10*(-22)/(-1485)*-24 and 107/3576.
10728
Suppose 2288 = 45*i - 637. What is the least common multiple of i and 235?
3055
Let t be (-6)/(-4)*(-20)/30. What is the common denominator of (-55)/(-27)*((-54)/(-36))/(-1) and 34*t/(-44) + 3?
198
What is the common denominator of 1 + 2 + (-3370)/980 and 99/10?
490
Let k = 21801/10 - 2179. Calculate the common denominator of 71/3204 and k.
16020
Suppose -4*p - 12 = -2*x + 18, 5*x = 4*p + 45. Calculate the common denominator of (0 + x)/((-72)/(-26) + -3) and 69/16.
48
Let t(r) be the first derivative of -r**3/3 + 41*r**2/2 + 51*r + 40. What is the least common multiple of 138 and t(42)?
414
Suppose 3*z - f = 9, -2*z + 5*f + 19 = -0. Suppose -z*g = 3*g - 4*a - 30, -15 = -3*a. What is the smallest common multiple of 234 and g?
1170
Suppose 0 = 5*p + 5*u - 690, 5*u - 150 = p - 2*p. Suppose 3*y - 2651 + 2678 = 0. Calculate the common denominator of 67/20 and (y/p)/((-2)/21).
20
Let p = -77582/27 + 2875. Let z = -752/11 - -38264/561. Calculate the common denominator of z and p.
459
Let u = 77029/2070 - 667/18. Calculate the common denominator of 67/15 and u.
345
Suppose 0*q - 2*t - 8 = -q, -4*q = -4*t - 24. Suppose -9*u - 5*z = -q*u - 310, 5*z = -u + 70. Calculate the least common multiple of 18 and u.
180
Let z be 465 - (-4 - -4)*(1 + -2). Let u = 477 - z. What is the lowest common multiple of u and (-4)/(-6) + (-97)/(-3)?
132
Let n(u) = -u**3 - 18*u**2 - u - 18. Let x be n(-18). Suppose -2*i - 5*r + 654 = x, r - 43 + 1007 = 3*i. What is the least common multiple of i and 6?
966
Let d = -1 - -5. Suppose -3*z + 7 = -2*k, 2*k + 14 - 2 = 4*z. Calculate the smallest common multiple of k and d.
4
Suppose 5 = b - 7*j + 3*j, 0 = -2*j - 2. What is the common denominator of -27/14 and (((-17)/(-36))/(-17))/(b/194)?
126
Let v be ((-4)/(-6))/((-2)/(-141)). Let i(k) = -k**3 - 16*k**2 + 38*k + 11. Let u be i(-18). Let c = u + v. Calculate the lowest common multiple of c and 14.
154
Suppose 0 = 5*i - 13 + 508. Calculate the common denominator of -4/5 and 1716/i + (1 - -1).
15
Let j = -2275 + 1012377/445. Let t = -26269/3115 + j. Suppose 0 = -2*l - 0*l + 8. Find the common denominator of l and t.
7
Let g = 17/75 + -527/4200. What is the common denominator of g and -69/532?
3192
What is the common denominator of 3/1820 and (-90)/195*12/490?
12740
Let p = -406283 + 346153181/852. Calculate the common denominator of p and 55/4.
852
Find the common denominator of (-21*14/(-55566))/(280/795) and 1/588.
3528
Let b = 106 - 102. Suppose b*o + 3*d = 1, -d = -5*o - 3 + 9. Calculate the common denominator of -37/20 and (-1*(-5)/o)/(9 + 3).
60
Let h be (10/(-3336))/(2/(-9)). Let a = h + -60799/14456. Find the common denominator of ((-285)/120)/((-1)/6) and a.
52
Let u(d) be the first derivative of 5*d**3/3 - d**2 + d - 2. Let h = 3481 - 3429. Calculate the smallest common multiple of h and u(1).
52
Let t = -5/11499 - 302747/137988. What is the common denominator of (-12)/(-2160)*-2667 + 15 and t?
180
Suppose 108 = -4*n - 5*l, -3*l + 5 = -7. Find the common denominator of 67/274 and (-2)/(-3)*(55/n + -1).
2192
Let i = -3097 - -3109. What is the smallest common multiple of i and 12?
12
Calculate the least common multiple of 2737 and 2002/55 + (-14)/35 + -1.
13685
Suppose 4*c - 213 = -h, 0 = 2*c - 0*c + 5*h - 93. What is the lowest common multiple of c and 585?
3510
Suppose 27*h = 24*h - 3. Let j be 5/(h/2*2). Find the common denominator of 3/16 and 51/(-220) - 6*j/165.
80
Let v be (9 + 3013)/(64/12). Let p = 568 - v. Find the common denominator of ((-194)/(-24))/(-1) + 0 and p.
24
Calculate the lowest common multiple of 1160 and 34/(-204) + 14619/18.
8120
Let i = 61 - 108. Let t = i - -49. Find the common denominator of -16/21 and 2/t - (-2)/(-30)*76.
105
Suppose -a + 2*b = 186, -513 = 4*a - a + 3*b. What is the least common multiple of a/(-14) - 8/14 and 36?
36
Let v(d) = -5*d**3 - 17*d**2 + 7*d + 70. Let r be v(-13). Let o = -339905/42 + r. Find the common denominator of 95/28 and o.
84
Let o be 6/(-57) + (-240)/(-114). What is the common denominator of 142/(-28)*2/3 and (-30566)/(-25389) + o/(-26)?
63
Let p(m) = -28*m + 255. Let j be p(9). What is the smallest common multiple of 3*j/(-9) - (6 - 286) and 6?
558
What is the common denominator of ((-22)/(-3))/((-1 - -9)*141/(-7614)) and 29/3298?
3298
Suppose r = 7 + 8. What is the least common multiple of r and ((-12)/6 - -7) + 1?
30
Let n(j) = 16*j**2 - j - 1. Let u(t) = -2*t**3 + 2*t**2 + t - 2. Let s be u(1). Let f(k) = 5*k - 52. What is the least common multiple of n(s) and f(16)?
112
Let k be (21 + (-40)/5)*(-38 + 1). What is the common denominator of 19/22 and (-74)/k + (1 - 575/(-234))?
198
Suppose -3*o + 702 = 3*h, -5*o + h + 120 + 1038 = 0. What is the common denominator of 9/160 + (3 - o/80) and -83/22?
352
Let j = -9742391/274920 + 8225/232. What is the common denominator of j and -163/360?
28440
Let y = -76 - -82. Calculate the common denominator of y/100*(902/33)/(-2) and -31/30.
150
Let i(g) = -5*g**3 + 165*g**2 - 165*g + 174. Let f(k) = -2*k - 4. Let l be f(3). Calculate the least common multiple of i(32) and ((-6)/5)/(3/l).
28
Let z = 13/4 - -109/20. Find the common denominator of (-9 - 4053/(-343)) + -2 and z.
490
Calculate the least common multiple of 468 and 64/((-45)/(8775/(-30))).
3744
Suppose -7*m - 118 = -776. Suppose 5*s + m = 4*i, 2*s = -2*i + 6*i - 100. Calculate the smallest common multiple of 20 and i.
260
Let k = 426 + -422. Let b(h) = -8*h + 2. Suppose 3*c + 3 = -3*q, -2*q - 5*c = -1 - 0. Calculate the least common multiple of k and b(q).
36
Let f = 7880 + -47149/6. Let n be 13470/20*((-416)/(-6))/(-4). Let p = n + 186711/16. What is the common denominator of f and p?
48
What is the smallest common multiple of 3075 and ((-829305)/(-675))/((-2)/(-10)) + 7/1?
6150
Let h = -80769 - -328789/4. Let i = 1420 - h. Let r = 11891/2 - 5933. What is the common denominator of r and i?
4
Let o = 9633 - 16327867/1695. Calculate the common denominator of 59/21 and o.
11865
Suppose -45*k - 9440 = -19*k - 36*k. What is the least common multiple of 8 and k?
944
What is the common denominator of 5/888 and (380/(-96) - 0)*(13 - 16)?
888
Let m = 192002125/18 - 10662489. Let x = m + -4298. Let l = -7272 + 116295/16. Calculate the common denominator of x and l.
144
Let n = -283198/297 - -1273241/1287. Let x = -495/13 + n. Let r = -4154 - -24773/6. Calculate the common denominator of r and x.
54
Let i(h) = 2*h**2 + 12*h + 13. Let q be i(-4). Calculate the lowest common multiple of 78 and (-72)/(-21) - q/(-7).
78
Let g = 165915 + -59729477/360. Calculate the common denominator of -149/810 and g.
3240
Suppose -530*b + 23880 = -500*b. What is the lowest common multiple of 8 and b?
1592
Let l be 38*21179/(-231) - (1 + -1). Let t = 3484 + l. Let w = t - -11777/462. Calculate the common denominator of -41/22 and w.
22
Let l(j) = 12*j + 49. Let q be l(-6). Let t = q + 27. Calculate the lowest common multiple of 18 and 48/60*70/t.
126
Let t = 757 - 730. Let l(g) = -g**3 - 3*g**2 + 5*g + 3. Let x be l(-4). Let r = x - -13. Calculate the smallest common multiple of r and t.
108
Suppose -16 + 34 = 3*y. Suppose -y*c = -13*c + 119. Suppose -7 - c = -2*n. What is the lowest common multiple of n and 27?
108
Let j = -7886 - -3953. Let m be (6/j)/((-5)/(-12)). Let q = m - -129171/69920. Find the common denominator of 71/24 and q.
96
What is the smallest common multiple of 18 and (517656/(-312