 = 277 - 123. What is the least common multiple of l and 20?
1540
Let y = 2/4919 + 216426/24595. Suppose -z + c = -2941, 5041 = 2*z - 5*c - 826. Let o = z - 20567/7. Calculate the common denominator of o and y.
35
Let b = 1579/38 - -94/19. Suppose 5*d - 612 = -3*x, -4*x + 7*x = -2*d + 252. Calculate the common denominator of b and (6255/d)/(27/4).
18
Let i = -26179/27270 - 3/1010. Calculate the common denominator of i and 59/21.
189
What is the common denominator of (((-2)/(-20))/1)/((-68)/221) and -127/72?
360
Let y = -44182/47 - -940. Calculate the common denominator of y and -37/5.
235
Let q = -2/103 - 1352/4635. Find the common denominator of q and 7/30.
90
Let g = -319/4 - -185/4. Let l = 5400 + -54093/10. Find the common denominator of g and l.
10
Suppose 0 = 4*g - g - 12, 3*m - 3*g = -3. What is the common denominator of (-297)/162 - m/(15/2) and -47/12?
60
Let y = 676 + -672. What is the least common multiple of y and 178?
356
Suppose -13 - 65 = -3*u. Calculate the lowest common multiple of u and 2 + 6 + 64/(30 + -14).
156
Let s be (73968/(-20385))/(2/(-3)). Let b = -13/1812 - s. What is the common denominator of -107/18 and b?
180
Let j = 1546 + -546. Calculate the lowest common multiple of j and 16.
2000
Let i = -5 + 8. Suppose 0 = -2*k + 6*k - 280. Suppose i*s - 14 = k. Calculate the smallest common multiple of 3 and s.
84
Calculate the smallest common multiple of 11/33 + 254/3 and 136.
680
Let w(s) = -3*s - 7. Calculate the lowest common multiple of w(-7) and 70.
70
Let g = -1723/4 + 425. Calculate the common denominator of g and 6/21 + 68/(-14).
28
Let d be -10*(21/6)/(-7). Suppose -8*a = -d*a - 18. Calculate the least common multiple of a and 8.
24
Let y = 644 - 532. What is the least common multiple of 32 and y?
224
Suppose 2*j = 3*j. Suppose -l = -j*l. Suppose -v + 8 + l = -2*n, -7 = -v + 3*n. Calculate the least common multiple of 3 and v.
30
Let u = 15 - 0. Let x be ((-5)/u)/((-3)/(-9)). What is the lowest common multiple of 11 and (2 + x)/((-1)/(-2))?
22
What is the least common multiple of 7 and ((-32)/(-6))/(62/186)?
112
Let y = 18 + -11. Suppose -2*x + 3 = -y. Suppose 3*t + 2 = -2*k - 7, -x*k - 5*t - 10 = 0. What is the lowest common multiple of 11 and k?
33
Let r(o) be the second derivative of -o**4/12 + 17*o**3/6 + 7*o**2 - 10*o. Let i be r(18). What is the common denominator of -2 + (i - 78/(-7)) and -57/4?
28
Suppose -335 = -6*n + 127. What is the least common multiple of n and 21?
231
Let c be ((-2)/(-279372))/((-10)/(-9)). Let h = c + -1759810811/3259340. Let j = 3729/7 + h. Calculate the common denominator of j and -43/40.
280
Let a be (404/(-104) - -4)/(15/4). Let d = a + -341/520. Calculate the common denominator of d and -79/14.
56
Suppose -215 = -5*k - 3*t, 12*k - 16*k - 2*t = -170. What is the smallest common multiple of 110 and k?
440
Calculate the lowest common multiple of (-2*1)/((-7)/14) and 79.
316
Let k = -3 + 7. Let r be -24 - (-3 + 12/k). Calculate the common denominator of 89/14 and (0 - -1) + 147/r.
56
Let o = -1097/990 - 39/770. Find the common denominator of o and -17/72.
504
Let f(j) = -335820*j**2 - 11*j - 11. Let v be f(-11). Let h = v + 73791564441/1816. Let n = 3/227 - h. Find the common denominator of n and 101/18.
72
What is the common denominator of -33/8 and 26/260 + 324/10960?
1096
Suppose -19 = 3*g + 3*j - 202, 4*j = -4. What is the least common multiple of g and 8?
248
Let g(o) = -o**3 + 6*o**2 - 6*o + 2. Suppose 0 = 4*u + 4*s + 12, -5*u + 4*s + 29 = -1. What is the smallest common multiple of u and g(4)?
10
Let b be (-4)/(2/1) - 0. Let p be ((-7)/3)/(b/126). What is the common denominator of 121/10 and ((-12)/40)/((-9)/p)?
10
What is the common denominator of -39/8 and 18016/1152 + (-1)/(-9)?
8
Let i(m) = -m**3 + 4*m**2 + 4*m - 5. Let n be i(2). Let l(f) = f**3 - 12*f**2 + 17*f - 22. Calculate the lowest common multiple of 32 and l(n).
352
Let y = -4753/4 + 71591/60. Find the common denominator of y and 27/125.
375
Let w = -761/8 - -5651/56. Find the common denominator of w and -77/12.
84
Let n(f) = -43*f**3 - 3*f**2 - 2*f. Suppose -3*g = 2*c - 10, -3*c + 5*g - 21 - 2 = 0. Suppose -3*u = -33 + 3. What is the least common multiple of u and n(c)?
210
What is the least common multiple of 33 and -1*1 + -7 + 71?
693
Let t(f) = 2*f**3 - 8*f**2 - 9*f + 22. Let n be t(7). Suppose 7*y - n = -16*y. Calculate the lowest common multiple of y and 5.
55
Let t be (-9)/15 + (-253)/(-5). Let s = t - 34. Suppose s = m - 5*p, 8*p = -4*m + 3*p + 39. Calculate the smallest common multiple of 15 and m.
165
Let o = -27310/9633 + 335/114. Calculate the common denominator of 91/22 and o.
3718
Let d = 169 + -161. Calculate the least common multiple of d and 1652.
3304
Let i = 324403/312 + -8325/8. Find the common denominator of 2/5*(-3)/4 and i.
390
Suppose -7*v + 294 - 252 = 0. Calculate the smallest common multiple of (-3 - 2)*(-2 + 0) and v.
30
Let d = -1814995/76 + 23881. What is the common denominator of d and -5/171?
684
Suppose 5*o - 169 = -39. Let h = o - 17. What is the least common multiple of h and 6?
18
Let o = -19 + 51. Let c = 73 - o. Suppose 3*y - 66 = 3*s, 2*s - 34 = -5*y + c. What is the least common multiple of y and 4?
68
Let f = -170 + 1033/6. Let o(i) = -2*i**3 - 5*i**2 + 3*i + 6. Let q be o(-4). Find the common denominator of f and (-4)/q*-3 - 2410/350.
30
Let i(h) = -h**2 + 14*h - 11. Let m be (234/(-36))/(2/(-4)). What is the smallest common multiple of i(m) and 10?
10
Suppose -17 + 56 = -u. Let y = u - -44. Calculate the smallest common multiple of y and 10.
10
Let h(j) = j + 8. Let q be h(-10). What is the smallest common multiple of -4 + (q + 3)*13 and 1*3/(9/33)?
99
Let j = 267 - 264. Calculate the least common multiple of j and 3.
3
Suppose 0 = 3*i + i - 8. Calculate the least common multiple of i and 24/2 - (-81 - -77).
16
Suppose 2*b + 19 = 31. What is the least common multiple of b and 60?
60
Let a be (-3)/((4/1)/(-4)). Suppose -13 = -o + a. What is the smallest common multiple of 18 and o?
144
Calculate the common denominator of -11/8 and (-600)/48*4/235.
376
Let s = 130 + -124. Calculate the least common multiple of 4 and s/((9/4)/3).
8
Let v(g) = -g**2 - 4*g + 8. Let f be v(-6). What is the lowest common multiple of (14/f)/(-3 + (-15)/(-6)) and 10?
70
Find the common denominator of (23/198)/(17/34) and 1/11.
99
Find the common denominator of -71/12 and ((-50)/(-128))/(3/12).
48
Let x = 25580 + -1330111/52. What is the common denominator of x and 97/40?
520
What is the common denominator of 59/408 and 12/33 + 8450/660?
408
What is the lowest common multiple of (-5 - -3)/(18/(-648)) and 12?
72
Suppose -20*u + 3 = -17*u. Suppose n - u = 2. Calculate the least common multiple of 24 and n.
24
Let v(f) = f**3 + 5*f**2 - 4*f + 3. Let y(a) = 8*a + 5. Let z be y(-1). Calculate the least common multiple of v(z) and 15.
165
Let i = -222 + 224. What is the least common multiple of 6 and i?
6
Let a = 3 + 6. Suppose a = 3*g - 3. Find the common denominator of -91/2 and g/(-10)*(-30)/96.
8
Suppose z - u - 2*u - 5 = 0, 2*z - 3*u + 2 = 0. Let y(h) = -h**3 - 6*h**2 + 7*h - 3. Let v be y(z). Find the common denominator of (v - (-43)/14)*59 and -40/11.
154
Let t(o) = -o**3 - o**2 + o + 5. Suppose 5*c + 2*a = 151, -2*a = 2*c - 0*a - 58. Suppose c = 2*j + 13. What is the least common multiple of t(0) and j?
45
Suppose 2*o - 4 - 6 = 0. Suppose -o*s + 6 = -4. What is the smallest common multiple of s and 8?
8
Let f = -1/411 + -5335/3288. Let i = -18682/5291 - 7/481. Find the common denominator of f and i.
88
Suppose 7*n = -w + 4*n + 36, 4*w - 165 = -5*n. Calculate the smallest common multiple of w and 15.
45
Suppose 148 = 36*n - 356. What is the least common multiple of n and 50?
350
Suppose -390 - 170 = -28*n. Calculate the least common multiple of 12 and n.
60
Let v be (-2)/(-9) + (-1470804)/105894. Let k = v + 1/1961. Calculate the common denominator of (-52)/(-14)*(-9)/(-18) - 2 and k.
21
Suppose -11*i + 654 + 886 = 0. Calculate the smallest common multiple of 55 and i.
1540
Suppose -x = -5*w + 443, 0 = w - 4*x + x - 97. What is the smallest common multiple of w and (-1 - 6)/(-1) + -5?
88
Suppose -4*v - 3*p = -9, p - 3 = -0*v - 3*v. Let u be 10/(-15)*(3 - v). Calculate the common denominator