1472. Calculate the common denominator of ((-21)/a)/(198/(-12)) and t.
132
Let g = 41500 - 1743079/42. Find the common denominator of -47/12 and g.
84
Let z = -4 - -10. Find the common denominator of z/(-6) + 1 + 97/(-4) and -75/22.
44
Suppose 4*q + 6*f - 276 = 2*f, 0 = -2*q + 3*f + 133. What is the smallest common multiple of 22 and q?
748
Let x = 115 + -92. Suppose 5*q - 5*i - 105 = 0, -2*i = 2*q - 3 - x. Calculate the least common multiple of 4 and q.
68
Let i = -812583/440965 - 3/25198. What is the common denominator of -109/6 and i?
210
Suppose 11*z - 6*z - 35 = 0. Suppose 53 = z*x - 17. What is the least common multiple of 12 and x?
60
Let t(o) = 11*o - 12. What is the least common multiple of 132 and t(2)?
660
Let d = -460209/28 - -16438. Find the common denominator of -17/4 and d.
28
Let k(x) = -16*x. Suppose r - f - f - 55 = 0, 0 = 5*r - 5*f - 255. Let m = -44 + r. Calculate the least common multiple of m and k(-1).
48
Let s = 3934 - 19732/5. Find the common denominator of 97/132 and s.
660
Let d = 8587/2178 - -2/1089. Suppose -300 = 3*l + 2*l. What is the common denominator of d and 49/l - 8/(-12)?
180
Let m = 68 - 141/2. Calculate the common denominator of 35/51 and m.
102
Let w = -15 + 11. Let u(n) = -4*n - 28. Let j be u(-12). Let z = w + j. Calculate the least common multiple of 44 and z.
176
What is the smallest common multiple of 44 and (-654)/(-54) + -4 + (-105)/(-27)?
132
Suppose 4*l - 650 = 2*l. Let f = l - 124. Find the common denominator of 2/13 + f/(-208) and -111/20.
80
Suppose 0 = k + m + 8 - 2, 2*k = -5*m - 24. Let y be k + -6*(-8)/12. Suppose t + 16 = y*n + 4*t, -t + 24 = 3*n. What is the smallest common multiple of 2 and n?
8
What is the common denominator of 11/5 and ((-6771)/(-26640))/(1 + -4)?
720
Suppose -u + 0*b - 4*b - 44 = 0, b + 296 = -5*u. Calculate the common denominator of 101/18 and 8/4 - (0 - 88/u).
90
Suppose 14*r + 9*r - 1104 = 0. Calculate the least common multiple of r and 40.
240
Let u(p) = 6*p**3 - 4*p**2 + p - 13. Let g be u(-11). Let h = g + 84853/10. Calculate the common denominator of h and 69/20.
20
Let s = -205/2 + 115. Find the common denominator of -63/10 and s.
10
Let o be (-103499)/452270 + 1 + 0. Let y = o - 27/4615. Calculate the common denominator of y and 546/40 + -292 + 279.
980
Let q(t) = -3*t - 10. Let v = 5 + -2. Suppose v*d - 38 = -5*o, o + 19 = 2*d - 2*o. What is the smallest common multiple of d and q(-6)?
88
Let v = 2/5621 + 207965/33726. Calculate the common denominator of v and 73/312.
312
Suppose 0 = 5*l - 2*l + 5*u - 280, -412 = -4*l + 3*u. Let j = 59 - l. Find the common denominator of j and 26.
1
Find the common denominator of (3/4*-82)/((-180)/5) and 29/24.
24
Let u be (270451/85)/((-4)/(-5)). Let n = u + -3978. What is the common denominator of n and 97/18?
612
Let h = -18 + 24. Let r be 1*(18 + -3 - -1). Suppose -45 = -5*g - 5*v, -5*v = -2*g + 9 + r. Calculate the smallest common multiple of g and h.
30
Suppose -3*z + z + 3450 = 0. Suppose 3*g - 4*g = -z. Let b = g + -13779/8. Calculate the common denominator of b and 7/5.
40
Let f(y) = -2*y**3 + 17*y**2 - 8*y + 2. Let a be f(8). Suppose v = -2*x + 44, a*v = 2*x - 5*x + 88. Calculate the smallest common multiple of 44 and v.
44
Let p = 36503/4746 + 32/339. Find the common denominator of (123/24 + -1)*-12 and p.
14
Let s = 1059 - 579. Suppose 7*y = 22*y - s. Calculate the smallest common multiple of 8 and y.
32
Let v = 538/3 - 187. Calculate the common denominator of v and -58/519.
519
Let u(p) = -446*p + 3. Let h be u(-14). Let c = h + -199887/32. What is the common denominator of c and -105/44?
352
Let h = 227 + -191. Calculate the smallest common multiple of h and 52.
468
Let f(a) = -3*a + 2*a**2 + 2*a - 5*a. Let o(d) = 19*d + 16. What is the least common multiple of o(0) and f(5)?
80
Let i = 38/83 + 7733/332. Find the common denominator of i and 166/(-16) + 0 + 0.
8
Let w be (-117)/18 + 2/4. What is the common denominator of -1/9 and (-4)/(-20)*(-122)/w?
45
Let f = 159 + -144. Calculate the lowest common multiple of f and 45.
45
Suppose 0*z - m = -4*z + 1834, -2*z + 912 = 2*m. What is the smallest common multiple of z and 14?
3206
Let t be (2585/(-2))/11*(-44)/(-2). Calculate the common denominator of t/132 - 1/(-4) and -8/15.
15
Suppose k - 4 = 5. Suppose 6*b + 12 = k*b. Suppose 25 = z + b*z. What is the least common multiple of 6 and z?
30
Suppose -1024 - 336 = -10*j. Calculate the common denominator of (j + -2)*(-5)/240 and -13/24.
24
Let q = -728 + 740. Calculate the smallest common multiple of (8/(0 - 2))/(-1) and q.
12
Suppose 8*w - u = 3*w + 45, 0 = u + 5. Let d be 9/6 - (-444)/w. Find the common denominator of 50/11 and d/(-15) + 2/(-2).
55
Let o(d) = -7 - d**3 - 2*d**2 + 23 + 16*d**2. Calculate the lowest common multiple of o(14) and 28.
112
Suppose 2*a - 1 = 5. Suppose -a - 1 = -4*w. Let l = 60 + -55. What is the least common multiple of w and l?
5
Let l = 51846791929/12 - 4324767485. Let h = l - -4204065. Let b = -2580 + h. Calculate the common denominator of b and -55/6.
12
What is the common denominator of -37/22 and (-19)/12*4/(-316)?
10428
Let z = -1/555 + 7979/13320. What is the common denominator of 37/81 and z?
648
Find the common denominator of 188/20*(-5)/(-54) and 137/36.
108
Suppose 2*a = 3*n - 13, -5*n - 2*a = -0*a + 5. Let w(u) = -u**2 - 5*u - 10. Let v be w(-8). What is the smallest common multiple of (3 + v/4)*-2 and n?
11
Let t(s) = s + 5. Let g be t(-3). Find the common denominator of 95/(-25) + -3 - g and 63/5.
5
Let t(g) = g**2 + g. Let m be t(-6). Suppose -3*l + 0 = -m. Calculate the smallest common multiple of l and 4.
20
Let v = 1179 - 291. Let z be (124 - 1)*v/128. Let p = z + -854. Calculate the common denominator of p and -59/2.
16
Let l = 339 - 332. Suppose 15 = 3*q - 3*j, 4 = 4*q + 4*j - 40. Calculate the smallest common multiple of l and q.
56
Let h = 1849/6 + -308. Suppose 0*r + 6 = -r. Find the common denominator of (-5)/r*71/(-5) and h.
6
Let c = -5029/6 + 848. What is the common denominator of c and -56/15?
30
Let t = 429 + -414. Calculate the smallest common multiple of 60 and t.
60
Let a be (-16)/4 - (1 + -1*4). Calculate the least common multiple of -4 - -5*(a - -2) and 179.
179
Let s be 21/24 - (28/32)/(-7). What is the smallest common multiple of 7 and 3 - ((-1)/(-2))/(s/(-50))?
28
Let r(i) = 8*i + 12 + 4*i - 13*i. Let u be r(-6). Suppose -4*k = -u - 10. Calculate the smallest common multiple of k and 7.
7
Let s(a) = -a**3 + 3*a**2 - a + 6. Let j be s(3). Find the common denominator of ((-9)/42)/(3/(-17)) and (-53)/j*(-12)/(-16).
28
Let l = -76 + 72. What is the common denominator of -49/6 and l + ((-1)/(-4))/((-4)/(-153))?
48
Let q = -107573/12 + 8971. Find the common denominator of -45/67 and q.
804
Let b = 369 + -292. Calculate the least common multiple of b and 11.
77
Let u be ((-2052)/(-16))/((-9)/(-48)). Let l = -6847/10 + u. Find the common denominator of l and ((-6)/45)/(12/685).
90
Suppose 4*b - 4*r - 28 = 0, 0 = 2*b - 5*r - 46 + 29. Suppose -3*s + 0 = -6. What is the least common multiple of ((-2)/6)/(s/(-42)) and b?
42
Let d(f) = f**3 - 9*f**2 + 11. Let b be d(9). Let o be ((-3)/3)/(1/(-3)). Suppose o*l = b - 5. Calculate the least common multiple of 22 and l.
22
Suppose 4*n - 59 = -15. Let g(w) be the second derivative of w**3/2 + 7*w**2/2 + 9*w. What is the lowest common multiple of g(0) and n?
77
Let g be -577 - (1/1 - 1). Let z = -6869/12 - g. Find the common denominator of z and -93/10.
60
Suppose -m = -3*m + 12. What is the lowest common multiple of ((-20)/(-5))/(m/45) and 4?
60
Find the common denominator of 14/28 - (-110)/(-72) and 86/189.
756
What is the lowest common multiple of 6 and ((-40)/(-12) + -3)*702?
234
Let z = 3862 + 977. Let s = z - 106419/22. Calculate the common denominator of 131/36 and s.
396
Let g be (-1)/((-2)/5)*(-6 - -4). Let b(n) = -1 + 2 - 1 - 3*n + 3. Calculate the lowest common multiple of 16 and b(g).
144
Let o be 280/(-7) + (4 - 0). Find the common denominator of 77/20 and 0 + 6/o + (-151)/(-24).
40
Let b(l) = -l + 55. Suppose 0 = -2*u + 6 + 22. Calculate the lowest common multiple of u and b(7).
336
Calculate the lowest common multiple of (6/4)/(3/40) and 8.
40
Let v(q) = q - 11. Let z = -77 + 104. What is the smalle