= 137 - 119. Suppose 2058 = 4*r + a. Calculate the smallest common multiple of r and 2.
510
Let b = -53887/8 - -6742. Let z = -156356877/14 + 11173339. Let a = z - 4985. What is the common denominator of b and a?
56
Let n(o) = -4*o**2 + o - 1. Let s be n(-3). Let x = s - 110. Find the common denominator of x/81*33/44 and -73/12.
36
Let s be (19 - 31)*(-2)/3. Find the common denominator of 56/39 and 3/(54/(-91)) + (s - 8).
234
Let m = -2095/19292 - -1/689. Find the common denominator of -99/320 and m.
2240
Let z = 279191971/462 + -604312. Find the common denominator of z and 101/1008.
11088
Let u = 141 + -136. Suppose -5*f - 10 - 15 = 5*l, u*l + f = -37. Let p(d) = 2*d**3 + 16*d**2 - d. What is the least common multiple of p(l) and 7?
56
Let i be (-3 - 1) + (-24079)/(-5951). Let f = -51695/6492 + i. What is the common denominator of f and 212/(-54) - 3*24/(-18)?
108
Let g = 60018919/280 + -214353. Calculate the common denominator of g and -55/504.
2520
Let a = 85635/28 + -3058. Suppose -88 + 21 = 5*h - 4*u, -40 = 2*h + 5*u. Calculate the common denominator of a and ((-76)/(-132))/((-2)/h).
308
Suppose 0 = -y + 2*o + 2, 5*o = 3*y - 13 + 3. Let x = 16 - y. What is the smallest common multiple of x and 9?
18
What is the common denominator of 45/(-12)*2/18 and 166/(-36)*(-12)/(-40)*3?
60
Suppose 19*n - 3*z + 95 = 14*n, n = 2*z - 26. What is the common denominator of n/846*-26 - 16/72 and 91/6?
282
Suppose -28 = -2*g - g + 4*a, -5*a = -g + 24. Let y = 657 - 98. Let m = y + -527. What is the smallest common multiple of g and m?
32
Find the common denominator of -73/525 and (3300/450)/(1 - (-34)/(-14)).
525
Let o(j) = j**2 + j + 1. Let n(s) = -2*s**2 + 2*s - 32. Let x(k) = -n(k) - 3*o(k). Calculate the smallest common multiple of 15 and x(-7).
15
Calculate the lowest common multiple of 9184 and (7 - 4)*(-25)/(975/(-52)).
9184
Suppose 2*j = 3*j - 22. What is the common denominator of 3/(5/(35/j)) and (80/20)/(3 + 1)*93/(-102)?
374
Let a = -66 + 93. Let b = -9 + a. Calculate the least common multiple of b and 5*(72/50)/((-4)/(-10)).
18
Let f be (-11)/6 + 2 - (-24880636113)/288. Let v = 86379588 - f. Let s = v + 11508. Find the common denominator of s and -91/4.
32
Suppose 3*q - 6*q + 11 = f, -5*q + 17 = 3*f. Let i = 6492231/188 - 34533. Find the common denominator of (5/(-3) - f)/4 and i.
564
Let p = 29 + -142. Let y = p - -133. Suppose 0*d + 204 = 3*d. Calculate the least common multiple of d and y.
340
Let m be 77 + 5 + -1 + (-2)/2. What is the common denominator of (-490)/m*1/(-2) and 242/20 - (3 - 3)?
80
Let d(v) = 36*v - 218. Calculate the lowest common multiple of 305 and d(8).
4270
Let c be -5*(-5 - 21/(-5)). Suppose -37 = -d - y, -4*d - y - c = -146. What is the smallest common multiple of d and 7?
35
Suppose 690 = -2*l - 134. Let n = -2051/5 - l. Let y = 67/7 + -113/7. What is the common denominator of n and y?
35
Suppose -3*j + 2*z - 2 = 7*z, -z = -4*j + 28. What is the smallest common multiple of ((-20)/j)/((-2)/48) and 6?
240
Let y = -2196 - -48379/22. Calculate the common denominator of 145/114 and y.
1254
What is the smallest common multiple of 102 and (45 - 22 - -2438) + 17?
42126
Suppose -2 = 2212*s - 2211*s + 4*p, 5*s + 3*p - 75 = 0. Calculate the smallest common multiple of s and 978.
2934
Suppose -2*k = 2*k - 5*o - 16, -16 = -4*k - 2*o. Suppose -14 = -5*x - 5*q - 49, -k*q - 1 = x. Let w = x - -38. Calculate the lowest common multiple of 7 and w.
203
Let c(y) = -41*y + 4434. What is the smallest common multiple of 6368 and c(108)?
19104
Let a be 1/2 - (-54)/(-36). What is the common denominator of -29/22 and a + ((-6)/(-9) - (-257)/(-66))?
22
What is the smallest common multiple of (7/(-14)*10)/((-1160)/385 + 3) and 385?
385
Calculate the common denominator of -5/588 and 5/(-2 + 3) + -12*13948/33957.
4116
Let z(n) be the second derivative of -13*n**3/3 - n**2 - 79*n. What is the least common multiple of z(-1) and 123?
984
Let l = -8/2675 + -227263/37450. What is the common denominator of l and (-1090)/8*(8 - (804/25)/4)?
140
Let p be (10/(-4))/(1/4). Calculate the common denominator of (-5)/p + (-29)/(-9) and 4/26 + 16720/832.
36
Suppose -200 = 30*m - 35*m. What is the common denominator of 5/(m/38)*20/165 and 22/9?
99
Suppose 11*y + 52*y - 630 = 0. Calculate the lowest common multiple of 254 and y.
1270
Let x be 2 - (328/4 - -1). Find the common denominator of 33/43 and 18/x + 377/36.
172
Calculate the common denominator of ((-14)/(3 + -5) + 52647/(-8106))/12 and 91/4.
1544
Let m(f) = f**2 + 3*f - 2. Let v be m(6). Let p = -56 + v. Let l(y) = -2*y + 5. What is the lowest common multiple of 10 and l(p)?
130
Suppose 3*y - 884 = 5*i, 12*y - 8*y - 1174 = 2*i. Suppose -288*x - 1360 = -y*x. Calculate the lowest common multiple of x and 22.
2992
Let l = 10531 + -10489. Calculate the lowest common multiple of l and 21.
42
Let l be 3 + -4 + 8/8. What is the lowest common multiple of 40 and (-11 + (l - -3))*-5?
40
Let t be 12/(-32) + (-601083)/56. Let z = t + 483088/45. Find the common denominator of -8/5 and z.
45
Let b = 16810 + -336309/20. Suppose 0 = -5*r + 461 + 169. Find the common denominator of b and 4 + (805/r - (0 - -5)).
180
Let s be (-7)/(-35) + (-14421)/5. Let u = -51967/18 - s. Find the common denominator of u and -10 + 551/57 + 110/24.
36
Let v = -21092 + 21101. What is the least common multiple of 324 and v?
324
Let p = -11211 + 11244. What is the least common multiple of 2457 and p?
27027
Suppose -11*s - 93 - 39 = 0. Calculate the smallest common multiple of (-11 + -1)/((-3)/4) and (-195)/(-20) - (0 - (-3)/s).
80
Suppose 0 = 26*p - 34*p - 272. Let y(b) = -9*b - 192. Calculate the smallest common multiple of 15 and y(p).
570
Suppose 14*n = 15 + 13. Let d be (25/n)/(10/(-20)). What is the common denominator of -99/8 and (d/100)/((-22)/58)?
88
Let o(z) = -z**2 - 2*z - 6. Let v be o(6). Suppose -36 = 9*t - 10*t - 5*l, -3*t + 164 = l. Let c = v + t. What is the smallest common multiple of c and 36?
36
Suppose 57225 = 63*t - 28*t. What is the smallest common multiple of 24 and t?
13080
Suppose 453 = 8*v - 5*v - n, -5*n + 135 = v. What is the least common multiple of 915 and v?
9150
Let z = 22276 + -668209/30. Let f be 8/(-12) - 160547/216702. Let g = 1/8026 + f. Find the common denominator of g and z.
270
Let z be 132/(-10)*270/2. Let v = 6745/4 + z. Let t = -95 - v. Find the common denominator of 5/28 and t.
28
What is the common denominator of -56/57 and (-6)/7*(-2 + 1 - 14/42)?
399
Let w = 1854907/1503930 - 2/50131. Calculate the common denominator of -29/231 and w.
2310
Suppose -s - 2*x + x + 4 = 0, 5*x - 20 = 0. What is the common denominator of -4 + (-76)/(-18) + 98/(-36) and (-462)/(-408) + (0 - s)?
68
Let s = -101 + 122. Suppose -4*l + 23 = -x, -2*x - 2 = -l + 2. Calculate the lowest common multiple of l and s.
42
Let s = -92 - -71. Let j(z) = -z**3 - 21*z**2 - 5*z - 22. Let x be j(s). Let p = 103 - x. Calculate the least common multiple of 44 and p.
220
Suppose 22 - 10 = 2*h. Let a(l) = l**3 - 4*l**2 - 11*l + 18. What is the smallest common multiple of 27 and a(h)?
216
Let o = 306 - 925/3. Let u = 82915 - 915713/11. Let g = -7393/22 - u. Calculate the common denominator of o and g.
66
Calculate the smallest common multiple of 162/36*-28*10/(-36) and 175.
175
Let l(b) = -31*b - 5. Let g be l(-4). Suppose -5*y - 29 = -4*i + g, 2*i = y + 68. What is the smallest common multiple of i and -8 - ((-2)/6)/(7 + 5966/(-855))?
224
Suppose c + 11*s - 9*s = 25, 5*c + 2*s - 133 = 0. Suppose -6 = 3*v - c. Let a(x) = x + 2. What is the smallest common multiple of a(v) and 71?
639
Calculate the common denominator of (302/1359 + 4694/504)*4/18 and -73/126.
126
Let o = -3233833/540 + 29946/5. Calculate the common denominator of o and (((-868)/15)/(-7)*45/30)/12.
540
Let r(f) = -44*f + 11. Let w be r(9). What is the common denominator of (w/(-75) + -5)/(8/50) and -37/2?
6
What is the smallest common multiple of 7 and (-4400 + (-2 - -3))/((-146)/16 - -9)?
246344
Let k be 147*(164/3 + 1). Let v = k + -65379/8. Find the common denominator of v and 73/16.
16
Let g = 303059/45626 + 2/3259. Let y be (609/(-42))/((-22)/(-18442)). Let r = y - -12157. Find the common denominator of g and r.
154
Suppose 9*c + 130 = 14*c. Suppose 0 = 2*l + 5*y - 52, 