) and (-2)/(7/(-1 + -76)).
132
Let q = 34983339/230 + -152101. Calculate the common denominator of 68/3 and q.
690
Let a(d) = -d**2 + 24*d - 50. Let z(t) = t**2 - 2*t. Let m(f) = -a(f) - 3*z(f). What is the smallest common multiple of 105 and m(-11)?
210
Let y = -1102 + 1438. What is the least common multiple of y and 72?
1008
What is the common denominator of -3*(-2161)/(-13680) - 20/190 and -14/195?
3120
Let c = 6/497 + -16413/994. Let k = 21 + 9. Calculate the common denominator of c and ((-100)/(-3) + -1)/(k/(-9)).
10
Let d = 1084563 - 2030301811/1872. Find the common denominator of -59/504 and d.
13104
Let j = -340679 - -3059171/9. Let t = -131464/171 - j. Calculate the common denominator of (-33 - 1120/(-28)) + (-37)/10 and t.
190
Let g = 16433773/204 + -80558. Suppose 15*q = 17*q - 932. Let i = q + -1823/4. Calculate the common denominator of i and g.
204
Let h = -1820 + 4295. Calculate the lowest common multiple of h and 1125.
12375
Let a(i) = 16*i + 30. Let g be a(3). What is the common denominator of (-8)/10 - -11*g/(-240) and 13/38?
152
Find the common denominator of 43/816 and (1 + 5*-1)*8190/(-3024).
816
Let u = 10051851/22 - 456664. Let n = -238 + u. Find the common denominator of n and 157/126.
1386
Suppose 136 = 7*u - 137. Let z = u + -44. What is the lowest common multiple of 1 + -5*z/25 and 2?
2
Suppose -4*a + 0*s + 354 = -3*s, -5*s = -5*a + 440. Suppose 3*l + 15 = -a. Let t = l - -36. Calculate the lowest common multiple of t and 15.
15
What is the common denominator of -101/488 and (228/12 - 17)*(-82)/320?
4880
Let h = 379 - 259. Suppose 32*n - h = 22*n. What is the smallest common multiple of 518 and n?
3108
Let n = 0 - -5. Suppose f = 4*g - 12, 23*f - 18*f = g + 35. What is the smallest common multiple of f and n?
40
Suppose -10 = -5*g - l, 4*g = 2*l + 238 - 230. What is the lowest common multiple of 694 and g?
694
Suppose 2*v = -2*x + 112 - 32, 2*v + 3*x = 78. Suppose -30 = -16798*d + 16796*d. Calculate the lowest common multiple of v and d.
210
Let t = 6190586737/2200 + -2813903. Find the common denominator of -9/16 and t.
4400
Let z = 188 + 32. Suppose 0 = -5*s - 5*g + z, 11*s + g - 83 = 9*s. Let l = 73 + s. What is the least common multiple of l and 6?
336
Suppose 19*j = 10 - 48. Calculate the common denominator of (108/(-50) - j)*(-435)/40 and -99/20.
100
What is the least common multiple of 3 + -3 + 19 - (2 + -2)/(-8) and 8?
152
Let h = 46 - 44. Suppose -3*m + 47 = 2*o, 3*o - h*o = 2*m - 29. What is the smallest common multiple of 10 and m + (0 - (-6)/6)?
80
Let m = -3345044/125 + 26760. What is the common denominator of -43/85 and m?
2125
Let k be (-2)/(-18)*9 - 4. What is the lowest common multiple of 16 and 1820/12 + 23/k + 8?
304
Let c = -501 - -507. Calculate the lowest common multiple of 874 and c.
2622
Let b = -389/60 + 41/6. What is the common denominator of -69/244 and b?
1220
Let h = 257 + -267. Calculate the common denominator of (h/(4400/33))/(6/218) and 103/12.
120
Let j = 1073 + -1071. Suppose -5*d - 7 = 3. What is the common denominator of (d*(-68)/64)/(-1*j) and 57/2?
16
Let b = -4436 - -4534. What is the least common multiple of b and 128?
6272
Let z(i) = -i**2 - 32*i + 22. Let m(r) = -2*r**2 + r + 1. Let q(u) = -m(u) + z(u). What is the least common multiple of 56 and q(33)?
168
Let v = 95/4 + -20. Calculate the common denominator of ((-172)/2)/(-5 - 243) and v.
124
Suppose -5*g + 4*x + 119 = 0, 4*g + 4*x - 2*x - 90 = 0. Suppose -3*z - 5 + g = 0. Find the common denominator of -26/7 and ((-1 - -3)/2)/(61/z).
427
Find the common denominator of ((-3)/(-12))/(3/(-38)) and 10*(-14518)/(-12240)*(-4)/(-42).
54
Find the common denominator of (-6)/(-27) - 22503/(-13230) - 2 and -20/33.
16170
Let z be (-27)/(-5) + (-22)/55. Suppose -z*d - 72 = -172. Calculate the least common multiple of d and 24.
120
Let q be 667/224 + (-1 - 2). Let i = q - 10503/1120. Find the common denominator of (-1 - -2)*(-405)/18 and i.
10
Let v = -261371/60 + 39211/9. Calculate the common denominator of v and -28/9.
180
Suppose -93778 = -1293*p + 40694. Suppose 4*q - 105 - 247 = 0. Calculate the least common multiple of q and p.
1144
Suppose 4*j + 0*c = -2*c, 0 = -3*c - 12. Suppose -5*o + 224 = -3*y - 4*o, o = 4*y + 298. Calculate the smallest common multiple of j and 12*(-4 - y/18)*6.
8
Let l = 126 - 123. Suppose f - 13 = 3*u, 24 = 7*f - l*f + 2*u. Let q = 46 - 39. What is the least common multiple of q and f?
7
Let n be 6 + 27/(-6) + -7. Let o = -207/32 - n. What is the common denominator of o and 77/26?
416
Let x = -13 - -39. Suppose -12 = -4*g, z - 5*g - x = 27. Let a = 88 - z. Calculate the smallest common multiple of 14 and a.
140
What is the common denominator of (-20)/(-35) + ((-2)/(-6))/((-70)/1905) and -131/642?
642
Calculate the common denominator of (260/(-720))/(-6*33/(-60) - 3) and -83/252.
756
Let j = -34317 - -5490741/160. Find the common denominator of j and 137/220.
1760
Let c = 559 - 533. Let t = -1/6 + 133/66. Calculate the common denominator of t and 10653/2070 + -3 - c/(-299).
330
Let j = 26 + -10. Calculate the least common multiple of 6256/(-51)*((-11)/2 + 4) and j.
368
Suppose 0 = 3*j, 4*r + 27*j - 12 = 23*j. Suppose -3*z - 6 = 0, 3*x + r*z - 40 = 38. What is the lowest common multiple of x and 160?
1120
Let m = -291857168/1393 - -209517. Calculate the common denominator of -42/199 and m.
1393
Suppose 0 = -8*n - 2201 + 5233. Suppose -39 = -19*c + n. Calculate the least common multiple of 121 and c.
242
Suppose -5*j = 2*k + 19, 4*k + 23 = -5*j - 0*j. What is the common denominator of (-1*k/(-624))/(8/(-1328)) and 97/12?
156
Let s = 195892/5 + -39620. Let o = 444 + s. Find the common denominator of o and 111/10.
10
Let q be (-1)/(188/(-264) + 4/6). Suppose -9*c + q = 4. Calculate the least common multiple of c and 89.
178
Let m(t) = 2*t - 10. Let h be (-3 + 9)/((-1)/(-1)). Calculate the smallest common multiple of m(h) and 4.
4
Let k be (-1)/(2 - (-4504)/(-2248)). Calculate the common denominator of 71/2 and k/154 - 13/91.
22
Suppose p - 21 = 203. Calculate the common denominator of (240/p)/(2*1/(-7)) and -16/109.
436
Suppose 1044 = 487*o + 35*o. Suppose -l + 691 = 189. What is the lowest common multiple of o and l?
502
Let z(y) be the first derivative of -y**3/3 - 31*y**2/2 - 139*y + 196. What is the least common multiple of 27 and z(-23)?
135
Let n be -7*(-9 + (-2 - -4)). Suppose -5*j = 3*o - n, 0 = -o - 4*o - 4*j + 60. Calculate the common denominator of 121/12 and (2 + 34)*-5*o/(-420).
84
Let f(h) = h**3 - h**2 + 16. Let q(d) = d**2 - 23*d + 24. Suppose -16 = 2*n - 6*n, 0 = 4*i - n - 92. What is the least common multiple of q(i) and f(0)?
48
What is the smallest common multiple of 16 and 0 - 9 - (17 - 65)?
624
Let v = -3872542/99 - -39117. Calculate the common denominator of 56/1089 and v.
1089
Suppose -108*z + 27*z = -10530. What is the least common multiple of z and 30?
390
Let d(c) = c**3 + 7*c**2 + 12*c + 6. Let v be d(-5). Calculate the lowest common multiple of 12 and (12/(-7))/(v + 110/28).
24
Let t = -23301 - -14427. Let n = t - -310642/35. What is the common denominator of n and 1/70?
70
Suppose -145*k + 149*k = -2*j + 11390, 3*k + 5*j = 8525. What is the smallest common multiple of 3990 and k?
19950
Let c be -6 + 7 + 45656675/(-490). Let u = 93177 + c. Find the common denominator of u and 101/70.
490
Suppose 4*a = 2*p - 1354, 4 + 6 = -2*a. Calculate the common denominator of p/174*3/(-31) and 97/10.
310
Let x = -157/254 - 10223/9144. What is the common denominator of x and -4*4/864*(-1455)/(-20)?
72
Let g = -71959 - -4317673/60. What is the common denominator of g and 3/(-90)*366/8?
120
Let y = 3991 + -3969. What is the smallest common multiple of y and 2186?
24046
Let c(z) = -z**2 + 33*z + 11. Let r be c(37). Find the common denominator of (-12)/96*r/(-12) and 41/33.
1056
Calculate the common denominator of 47/1071 and (36/8 - (-28931)/(-6426))/(7/213).
1071
Let n(b) = 9*b - 120. Let r be n(14). Calculate the common denominator of 12/(-354)*(r + 2 + -6) and -32/5.
295
Suppose -571 = -160*n - 185 + 254. What is the lowest common multiple of n and 3958?
7916
Let c be (9/(-5))/(129/(-1720)). Suppose c*u = 446 - 62. Calculate the least common multiple of 358 and u.
2864
Suppose q = 5*g + 26, 70