Let j = -7642 - -61199/8. Calculate the common denominator of j and 117/224.
224
Let x(y) = 576*y + 10035. What is the smallest common multiple of x(-14) and 114?
74898
Let v = -164341 + 164349. Suppose -4*q + 3*a = -388, -q + a = 5*a - 78. What is the lowest common multiple of q and v?
376
Let v = 20 - 16. Suppose 3*w = 5*p + 339, -p + 7*w = 4*w + 75. Let x = 71 + p. What is the lowest common multiple of x and v?
20
What is the common denominator of (-1 + 325/30)*51/272 and -121/60?
480
What is the common denominator of 1265/115 + 5210/(-484) and -57/550?
6050
Let k = 555837 - 2351190443/4230. What is the common denominator of 64/6345 and k?
12690
Let v = 499555/24 + -20810. Find the common denominator of -143/2082 and v.
8328
Calculate the least common multiple of ((-136)/17 + -1530)*1/(-1) and 96/(-9)*48/(-32).
12304
Suppose 2*f = -65 + 73. Suppose f*z = -2*z + 36. Suppose 44 = -4*w + 108. Calculate the smallest common multiple of w and z.
48
Let x be (1 - -1) + 9 + 31. Calculate the common denominator of ((-9)/6)/((-129)/85) and (3875/280)/(-5) + (-36)/x.
344
Let a be 0 - ((-1 - 1) + 0). Let o be -45 + 104 + 2/((-4)/6). Suppose -8 = a*b - o. What is the smallest common multiple of b and 16?
48
Let o(w) = -2*w**2 + 8*w - 6. Let x be o(4). Let p = -4 - x. Suppose -31*l = -12*l - 380. What is the lowest common multiple of p and l?
20
Let i be (-24)/(4*3/208). Let b = -296 - i. What is the lowest common multiple of 12 and b?
120
Let c = 31624 - 2371709/75. Find the common denominator of c and -4/125.
375
Let a(u) = -u**3 - 5*u**2 - 7*u - 9. Let s be a(-4). Suppose -32*z = -31*z - s. Suppose -42 = -z*o - 6. Calculate the smallest common multiple of o and 8.
24
Suppose x - 2*x + 9 = 0. Suppose -23 - x = -8*q. Suppose -w + 6*w - 7 = -2*g, -4 = q*w. What is the lowest common multiple of 2 and g?
6
Let g = 342713/84270 + -1/5618. Calculate the common denominator of 8/663 and g.
3315
Suppose 24*b + 1023 = -897. What is the common denominator of (-1774)/208 - (6 + b/13) and -19/204?
408
Suppose -18 - 3 = -7*x. Suppose -3*n + 5*z = -52, 0 = x*n + n + 3*z - 21. Calculate the least common multiple of n and 39.
117
Suppose -4*w + 19 = 3*n - 33, 5*n = -20. Let q(x) = 2*x**3 - x**2 - x + 4. Let t be q(2). Suppose 35 - 7 = t*d. Calculate the least common multiple of w and d.
16
Suppose -326 = -s + 3*s. Let n = 228 + s. Calculate the smallest common multiple of 8 and n.
520
Let l be (-111)/(-7 + 4) - 6/2. Suppose -l = -2*a + 4*s, -11 = -3*a + s - 5*s. What is the least common multiple of a and 1?
9
Let p = 86 + -122. Let l = p + 52. What is the smallest common multiple of l and 12?
48
Let i(t) = t**2 - 4*t - 3. Let r be i(5). Let j(c) = 30*c. Calculate the least common multiple of j(r) and (-1232)/(-32)*-10*((-422)/35 + 12).
660
Let u = 24/144175 + 16460029/721451700. What is the common denominator of u and -19/5560?
50040
Suppose x = -5*c + 4*x + 19, 2*x - 14 = -2*c. Suppose -f = 5*d - 137 + 34, 0 = -3*f - c*d + 279. What is the smallest common multiple of f and 7?
616
Let v be 165/(-440)*20/2418. Let u = -31855/124124 + v. What is the common denominator of -69/4 and u?
308
Let r = 22 + -30. Let a be (-2)/(-9 + 1) + (-30)/r. Find the common denominator of -35/4 and (-1)/a + 468/752.
188
Let q = 14 + -34. Let h be 15/q - 3/(-4). Suppose h + 24 = z. What is the least common multiple of 2 and z?
24
Let b(f) = -193*f - 6. Let q be b(-2). Suppose 0 = 8*z - q - 4. Let p = 54 - z. What is the smallest common multiple of 15 and p?
30
Let r = 37 + -31. Calculate the smallest common multiple of 5 and 16/((3/r)/((-9)/(-18))).
80
Let p(t) = 897*t + 366. Let k be p(-17). Calculate the common denominator of -5/4 and k/(-16632) + -1 + 27/21.
72
Let m = 74857/48928 + 2/1529. Calculate the common denominator of m and 29/205.
6560
What is the common denominator of (-4)/(-1 + (-15)/(-9)) - (-432)/224 and -41/204?
1428
Let r = 130905/14 - 9345. Find the common denominator of -121/290 and r.
2030
Let q be ((-10252)/8)/((-20)/(-8)). Let v = q - -511. Let c = -179 + 345/2. Calculate the common denominator of v and c.
10
Let o be ((-2 - -3) + 2)*(-374)/(-3). Find the common denominator of -59/206 and (-1 - o/(-20))/(18 - 12).
2060
Suppose -18*d = -11*d - 385. Suppose -10*k + d + 65 = 0. What is the smallest common multiple of 12 and k?
12
Suppose 4*g = -3*v + 18, -3*g - 3*v + 3 = -9. Suppose 11 - 115 = 8*i. Let z = 28 + i. Calculate the smallest common multiple of g and z.
30
Let x be 55636/(-110) + 26/143. Let n = -1019/2 - x. Find the common denominator of n and -71/70.
70
Let r = -42810 + 131747/3. Let w = r - 1124. Let x = -2201/132 + 155/11. Find the common denominator of w and x.
12
Let v = -1115179/86898 + -2/14483. Let x = 458/17 - 11379/476. What is the common denominator of v and x?
84
Let t be (3/(-6))/(1*2/(-20)). Suppose -3*q + 2*k = -13, -t*q = -4*k + 5 - 30. Calculate the smallest common multiple of q and 177.
177
Let i(k) = 2*k**2 + 27*k + 2. Let u = -117 - -103. Suppose 2*q + 2*q - 48 = 0. Calculate the least common multiple of q and i(u).
48
Let k = -2254015/10281492 + 3/31733. What is the common denominator of 7/27 and k?
324
Suppose -16*g - 5*d = -20*g + 375, 3*g - 255 = -5*d. Let r(y) = y**3 + 12*y**2 + 19*y - 2. What is the lowest common multiple of r(-6) and g?
900
Let w = -16589 + 16595. Let g be ((-105)/9)/((-1)/3). Suppose -g = -4*d - d. What is the lowest common multiple of w and d?
42
Suppose -20*u + 23*u - 9 = 0, 4*u - 212 = -4*b. Calculate the lowest common multiple of b and 100.
100
Let d = -2736322564 + 4022393920513/1470. Let i = 8304/49 + d. What is the common denominator of 29/36 and i?
1260
Let l be (-78)/(-8) + (-10)/(-40). Let z be ((-10)/(-2) - 1) + l. What is the lowest common multiple of 14 and (-2)/(-4)*((-3 - -1) + z)?
42
Calculate the common denominator of -38/3 and (-30)/(-300)*(160/13450)/((-2)/(-5)).
4035
Suppose -127 = 2*l + 411. Let g = 317 + l. Calculate the lowest common multiple of 42 and g.
336
Let i = 34 + 113. Let r = i - 45. Let o = r + -58. Calculate the least common multiple of 12 and o.
132
What is the smallest common multiple of 6 and (-1 + -12)*(-187 + 560/(-28))?
5382
Let w be (3*(-2)/4)/((-12525)/175). Let g = -6583/3340 + w. Find the common denominator of 35/2 and g.
20
Suppose 10*m + 87 = 17. Suppose -4*v + 104 = -q, 0 = -6*v + 3*v + 5*q + 61. What is the smallest common multiple of 102/238 + (-270)/m and v?
351
What is the common denominator of -163/42 and 44/207 + (-132)/792?
2898
Suppose q = -3*q + q. Suppose q = -42*g + 38*g + 112. What is the smallest common multiple of g and (-3 + -3)/((-3)/4)?
56
Let k = -2/51761 + 984431/25155846. Find the common denominator of -97/1080 and k.
9720
Suppose 2 = -2*y - 64. Calculate the common denominator of 979/y - (3 + -9) and 119/12.
12
Let f = 1893/11 - -66149/297. Let h = -394 + f. Find the common denominator of h and 70/9.
27
Let f = -1/17097 - -153913/683880. Calculate the common denominator of 574/(-900) - (-2)/(-9) and f.
200
Suppose 5*p - 4607 = -3*t, p + t - 819 = 100. Calculate the lowest common multiple of 15 and p.
2775
Let j = -5793/220 + 288/11. Suppose h + 432 = 13*h. Find the common denominator of (59/1)/((-432)/h) and j.
60
Suppose r + 7 - 27 = 0. What is the common denominator of (-3)/(-9)*56/r and (2/(-48))/(6/(-40))?
90
Let m = -38 + 116. Let a = 134 - m. Calculate the lowest common multiple of a and 140.
280
Let h = -151 + 160. Suppose -19 = -5*c + o, -23*c + 26*c - 4*o = 25. Calculate the least common multiple of c and h.
9
Let g = -19665/8792 + 68/157. What is the common denominator of g and -17/48?
336
Calculate the smallest common multiple of -14 - (-2280)/168 - 57129/(-21) and 15.
8160
Suppose -124 = 4*q + 4*w, q + 33 = -0*w - 3*w. Suppose 4*j + 420 = 39*j. What is the common denominator of -6*3/q*234/j and -31/7?
70
Suppose 4*p + 4 = 5*o - o, -3*o - 5*p + 27 = 0. Find the common denominator of (o/50)/((-12)/865) and -121/10.
30
Calculate the smallest common multiple of 40/16 + (-22 - -28) + (-6046)/(-4) and 24.
4560
Let c(m) = -2*m**2 + 150*m - 600. What is the least common multiple of 12 and c(66)?
588
Let l(q) = -7*q**2 + 7*q - 6. Let a(z) = -1. Let g(o) = 6*a(o) + l(o). Let x be g(4). Let c = 97 + x. What is the least common multiple of c an