 2479. Calculate the lowest common multiple of 51 and k(-28).
663
Let g(p) = p**2 + 54*p + 569. What is the lowest common multiple of 192 and g(-43)?
192
Let k = 120 + -74. Suppose 2*d - q = k, d + 0*q - 30 = 4*q. Suppose 4*r - 16 = 4*x, -x = r + 4*x - d. Calculate the least common multiple of 6 and r.
42
Let i = 10204667/2391480 - 623/146. Let z = 4022/4095 + i. What is the common denominator of z and -43?
56
Let x = 7198 + -7136. Let k(g) = 3*g**2 + g - 2. What is the least common multiple of x and k(-2)?
248
Let f = -53 - -57. What is the lowest common multiple of -4*((-115)/20 + f) and (-2)/4 + (-95)/(-2)?
329
What is the lowest common multiple of 165/35 - (-6)/21 and (-39)/2*130/(-39)?
65
Suppose -5*q + 2*s = 27 - 54, 4*q + 3*s - 17 = 0. Suppose -n = 3*l - q*l + 37, -2*n - 14 = -l. Calculate the least common multiple of 272 and l.
1360
Suppose 0 = -2*r + 4, -2*k + 5*k - 16 = -5*r. Suppose -y + 5*x = -8, -3*y - 6*x + 4*x = -58. What is the least common multiple of k and y?
18
Let z = -303/11 + 4023/176. Calculate the common denominator of 41/1904 and z.
1904
Let h = -115470453/5080 + 415916/127. Let t = h - -19453. What is the common denominator of t and -57/40?
40
Let y be 1 + 2866/(-1720) - 4/(-6). Let w = 4549/87720 - y. What is the common denominator of -81/10 and w?
680
Suppose -6*c + 56 = 44. What is the common denominator of ((-129)/18*c)/((-360)/27) and -97/28?
280
Let z = 29088 - 2908751/100. Calculate the common denominator of z and 9/2350.
4700
Suppose -4*j + 2*j = -5*t + 21, 0 = 4*t - 3*j - 21. What is the common denominator of -93/104 and (-3)/42*t*204/(-72)?
728
Let b = 1019861983083247/121920 - 8365009706. Let g = -110833409/8128 + 13636. Let w = b + g. What is the common denominator of w and 95/18?
90
What is the common denominator of -41/10 and (-5)/(-7) + 139678/(-202125)?
5250
Calculate the lowest common multiple of 416 and (3*10/(-5))/(3 - (-157)/(-52)).
1248
Let z(s) = -20*s**3 - s**2 + 3*s + 4. Let g be -3*((-8)/(-2) + (-11)/3). What is the least common multiple of 25 and z(g)?
100
Suppose 5*l = -2*a + 2408, 4 = -12*a + 13*a. Calculate the smallest common multiple of 720 and l.
1440
Suppose -3*s + 14 = s - r, 0 = 5*s - r - 18. Let l = -1556/7 - -6763/28. What is the common denominator of l and 10*-17*s/(48/(-1))?
12
Let t(c) = c**2 + 3*c + 4. Let f be t(0). Suppose -f*h + 9*h - w = -308, -290 = 5*h + 5*w. Let s = h - -69. Calculate the lowest common multiple of s and 118.
472
What is the common denominator of (-838)/(-792) + (-393)/1572 and 23/3333?
9999
Let x = -358951/36 - -9972. Find the common denominator of x and (5 - (-8)/(-4)) + (-305)/66.
396
Let x be ((-95)/(-10))/19*22*2. What is the common denominator of 12/x - 134/(-1650) and 11/45?
225
Suppose 5*n = -4*k + 2864, 4*n - 2*k = -447 + 2707. What is the least common multiple of n and 710?
2840
Suppose 6 - 18 = -3*j. What is the least common multiple of (840/(-25))/(21/(-140)) and j?
224
Let k = 41 + -22. Suppose -21*g + k*g = -50. Suppose -o = 4*i - g, 2*o - 71 = -0*i - i. What is the smallest common multiple of o and 1?
37
Let a be (-1)/(-7) - 26/(-14). Suppose a*c + 0*c + 4*l + 8 = 0, 0 = c - 3*l + 9. Let r(f) = -f. Calculate the least common multiple of r(c) and 140.
420
Let g = -168193/10 + 16816. Calculate the common denominator of g and -32/2375.
4750
Suppose -2*x + 2*f + 6 = 0, -5*x - f + 22 = -x. What is the smallest common multiple of ((-18)/(-5) - 6/(-10))*x and 3*(2 - (4 + -13))?
231
Let u(p) = p**2 - p - 10. Suppose -44 + 14 = -6*r. What is the least common multiple of u(r) and 132?
660
Suppose -23 = -3*y + u - 117, 70 = -3*y - 5*u. Calculate the common denominator of 15/y*(-4)/10 and 52/55.
55
Suppose -5*m + 3*m = -280. Suppose -w = -4*i - 19, 33*w - 32*w - 3*i = 15. Suppose -45 = w*d - 51. Calculate the smallest common multiple of m and d.
140
Let g(j) = -j**3 - 11*j**2 - 12*j - 33. Let i(h) = h**2. Let c(x) = -g(x) - 2*i(x). What is the lowest common multiple of c(-8) and 81?
81
Let q(l) = -3*l**2 - 108*l - 288. What is the smallest common multiple of 70 and q(-30)?
1260
Suppose -4*w = -k + 109, 4*w + 56 + 55 = 3*k. What is the lowest common multiple of 22/6 + (-36)/w + -1 and 156?
156
Calculate the common denominator of -3 + (2 - 205/(-530)) and (393/(-60) + 2)/((-2)/5).
424
Let y = -21973/11160 + 43/744. What is the common denominator of 22/455 and y?
4095
Suppose -18*o = -118 - 134. Suppose -o*x = -537 - 891. What is the smallest common multiple of x and 8?
408
Let j = -80 + 60. Find the common denominator of 21 and ((-9)/(-3))/((-16)/j).
4
Let a(p) = 2*p**2 - 1. Calculate the lowest common multiple of a(-2) and 52/65 + (7 - (-110)/50).
70
Suppose 9 = 9*u - 12*u. Let a = 290/47 - 12929/1128. What is the common denominator of 290/156 - u/(-2) and a?
312
Suppose 0 = -5*y - 2*s + 5*s + 191, 4*y - 157 = s. What is the smallest common multiple of 0 + -3 + 332/4 and y?
80
Let u = -228555099675 + 54029968453113619/236398. Let g = u + 3/6221. What is the common denominator of g and (-114)/32 - (-3 + 3)?
304
Suppose -6*w = -4*w - 14. Let y(p) = 2*p - 4. Calculate the lowest common multiple of (-5)/((-75)/78) - 52/(-65) and y(w).
30
Let m = 3126 - 2559. Calculate the smallest common multiple of m and 162.
1134
Let c = -1525/3 + 518. Let w = 75698/39 + -1942. What is the common denominator of c and w?
39
Let m = 205031/36 + -5694. Suppose -1147 = 15*v + 3878. What is the common denominator of (5 + -3)/(-2) + v/120 and m?
72
Find the common denominator of 131/66 and 8900/(-880) - (-24)/3.
132
Let k = 1/4023 + -11083/12217851. Let b = k - -30388/27333. What is the common denominator of b and -31/24?
72
Let k = -1/38442 - 46809541/38442. Let f = -1230 - k. What is the common denominator of (8/(-36))/(8/(-6)) and f?
6
Let s be 1 - (-98)/(-417944)*4462. Let p = s - -7158761845/27845519. Let t = p - 3349/13. What is the common denominator of t and -77/16?
656
What is the smallest common multiple of 140860/55 - (-30)/33 and 610?
12810
What is the common denominator of 4/((5 + 684/(-132))*1) and -35/44011?
44011
Let q be (-1)/((-4)/(-6) + 245/(-357)). What is the lowest common multiple of 20 and (-1359)/(-15) - 2 - q/85?
440
Let x(u) = -166*u - 2314. Calculate the smallest common multiple of x(-14) and 405.
810
Suppose -3*v - 495 = 3*q, 3*v + 477 = 6*q - 3*q. What is the least common multiple of 27 and ((-6)/1)/(-3*(-12)/v)?
27
Suppose 0 = -12*h - 23 + 71. What is the lowest common multiple of (-1485)/(-36) + h + 2/(-8) and 54?
270
Let c = 21733 - 21728. Suppose -5*a = 1045 - 3605. What is the least common multiple of a and c?
2560
Suppose -5*y = 2*l + 11, -2*l + 4*y + 6 = -5*l. Find the common denominator of ((-11)/8 + l)*52/240 and -59/14.
672
Let t be (3/6)/(238/(-287)). Let z = t - 3589/476. Find the common denominator of z and 19/3.
21
Suppose l = -5*r - 12566, -2*l - 13168 = 3*r + 11999. Let a = 302111/24 + l. Let t = -46 - -185/4. Find the common denominator of a and t.
24
Let m = 3 - -2. Let q(b) = -b**2 - 10*b + 468. What is the smallest common multiple of q(-25) and m?
465
Suppose 7*w - 4*w - 147 = 0. Let u(g) = 3*g**3 + 106*g**2 + 548*g - 38. What is the least common multiple of w and u(-29)?
49
Suppose 0 = 2*k - 9*k + 70. Suppose 2*g = -k, -5*g + 174 = 5*n + 34. Suppose 2*i - 5*v = 22, -i + 5 + 3 = -v. What is the lowest common multiple of n and i?
66
Let d = -3836858/15327 + -1/15327. Let l = -258 - d. Calculate the common denominator of l and (2/(-5))/((-4)/(-123)).
30
Let o = 20519/10 + -2056. Let m be 8 + -8 - (1 - (-7601)/6). Let z = -1293 - m. Find the common denominator of o and z.
30
Suppose 2*s - 6 + 2 = 0, -2*s - 71 = -5*t. Calculate the lowest common multiple of t and 0 - (4/14 + 26877/(-357)).
75
Let y be 334/22 + 40/22 + -2. Suppose 9*r + 72 = y*r. Calculate the lowest common multiple of 48 and r.
48
Suppose -4 = -2*p, -s - 5*p + 126 = s. Let x be 2/10 - s/(-10). Suppose -4*d = -x*d + 12. Calculate the least common multiple of 6 and d.
6
Let p(h) = 4*h + 12. Suppose -5*n = -2*n. Calculate the lowest common multiple of 40 and p(n).
120
Suppose -115*n + 60276 = 3351. Calculate the smallest common multiple of n and 135.
1485
Suppose -763*o + 772*o - 468 = 0. Calculate the smallest common multiple of 156 and o.
156
Suppose -66 = -11*x 