(-12). Calculate the common denominator of (y/(-10))/(20/(-925)) and -7/12.
12
Suppose 2*w + 0*w - 46 = 0. Let c = 28 - w. What is the least common multiple of c and 2?
10
Suppose 2*s + 4*h = 32, -4*s - h + 131 = 46. Suppose x + 0*x + 20 = 3*g, -3*g + 14 = 2*x. What is the common denominator of (-33)/s + g/8 and 46?
4
Suppose -5*w + 2*z + 18 = -2*z, -16 = -4*w + 4*z. Let q = 2/12979 - -1492557/181706. What is the common denominator of w*((-132)/32 + 2) and q?
28
Calculate the common denominator of -2 + 6/(-44) + 22/11 and 2/11 + (-366)/(-44).
22
Let u = -53/15 - 17/15. Let n = -1441/18 - -493/6. Find the common denominator of u and n.
9
Suppose 2*n - 157 = -3*n + r, n = -3*r + 41. Calculate the lowest common multiple of n and 12.
96
Let m = -2655 - -13233/5. Find the common denominator of 3/475 and m.
475
Let r = -27579307/641538 + 73/11061. Let h be 4/(8/6)*484/957. Let y = r - h. What is the common denominator of 13/21 and y?
42
Let z = -57386 + 36760. Let u = -2516391/122 - z. What is the common denominator of u and -43/20?
1220
Let j(c) = c**3 + 9*c**2 - 5*c - 13. What is the smallest common multiple of j(-5) and 532?
2128
Let n = -209/2 + 101. Let u = 402913/30 - 13436. What is the common denominator of n and u?
30
Let o be 42/4*48/24. Let a = o + -19. What is the least common multiple of a and (-2)/(-8) - (-47)/4?
12
Suppose 4*b = 6*b + 3*s - 1, 11 = 4*b + 3*s. Let y be (24/10)/(3/40). What is the lowest common multiple of (3/(-6))/((-2)/y) and b?
40
Let p be 8/10 - (-3568)/40. Suppose 2*q + p = -66. What is the common denominator of -3 + 0 + q/(-40) and 43/6?
60
Let y = 6 - 6. Suppose 6*s - 9*s + 36 = y. Calculate the smallest common multiple of s and 18.
36
Let t(r) = -r**3 + 2*r**2 - r. Let n be t(3). Let a = n + 22. Suppose 0 = -3*l + d + 19, -3*l - 3*d + a = -5. What is the smallest common multiple of l and 1?
6
Let y = 6 - 3. Suppose 0 = 3*c + 9, -y*c - 45 = 2*h - 4*h. What is the smallest common multiple of h - (1 + 2 + -3) and 22?
198
Let b = -699296/93 + 7519. Calculate the common denominator of b and 63/5.
465
Let b be 5/(-2)*(-144)/20. Find the common denominator of 2336/(-72)*(2 - b/8) and 40/11.
99
Let o(c) = -c**3 - 4*c**2 - 3*c - 5. Let q be o(-4). What is the common denominator of (-131)/(-73) + q/(49/(-14)) and 23/10?
730
Let f be 112/(-6)*-11*33/44. Let x = 176 - f. Let d(a) = a + 22. Calculate the smallest common multiple of x and d(0).
22
Let p(d) = -6*d**3 + 3*d**2 + d - 4. Let x be p(-2). What is the common denominator of (147/x)/((-6)/(-9)) and 39/8?
24
Suppose 0 = -o + 19 + 9. Let i = 13 - -3. What is the least common multiple of o and i?
112
Let r = 21807/8 + -2716. Let s = -31232/11 + 2836. Let x = s - -215/22. Calculate the common denominator of x and r.
8
Let x be 357/(-77)*350/(-402). Let l = x - -28/67. What is the common denominator of l and (-269)/(-14) - (-10)/35?
22
Let z = 52 - 14. Suppose 4*x + 5*p - 17 = 27, 5*x - z = -2*p. What is the least common multiple of x and 26?
78
Let x = 175212064/871 - 201162. Find the common denominator of x and -29/8.
6968
Suppose -2*k + 10 = 5*c, -2*c - 2*c + 11 = k. Suppose -2*h + 0*m + 4 = -c*m, m - 2 = -h. Calculate the common denominator of (-109)/4 + h*1 and 79/6.
12
Suppose 0 = h - 4436 + 4400. What is the smallest common multiple of 9 and h?
36
Let o be 2 + 955/572*10. Let r = o + -194/13. Find the common denominator of (-4 + (-555)/(-40))/((-9)/12) and r.
66
Let z(l) = 4*l - 15. Let f(g) = g**3 - 11*g**2 + 10*g + 11. Let v be f(10). Let u be z(v). Suppose 5*h - u = -9. What is the lowest common multiple of h and 4?
4
Let v = -9 - -28. Suppose 3*b = -r + 5, r - 3*b - 2*b = -v. Calculate the common denominator of (-104)/30 - r/(-6) and -14/3.
15
Suppose -90 = -3*o + 4*m + 10, -104 = -3*o + 2*m. Calculate the smallest common multiple of o and 36.
36
Let t = -87457/5 + 57021839/3260. What is the common denominator of -139/12 and t?
1956
Let b = 257066229/1286 - 199896. Find the common denominator of b and -9/2.
1286
Let v = 18 + -14. Suppose -v*o + 24 = -4*q + 5*q, -5*o + 41 = 4*q. Let g(c) = -2*c + 10. Calculate the smallest common multiple of 6 and g(q).
6
Let g = 673 + -633. What is the smallest common multiple of g and 30?
120
Suppose 0 = -5*w - 52 + 12. Let d = w - -11. Suppose 0*j + j = d. Calculate the least common multiple of j and 13.
39
Let l = -244 - -269. Calculate the lowest common multiple of l and 80.
400
Let c = -6 + 113. Let g = 173 - c. What is the common denominator of 27/16 and (13/26)/(8/g)?
16
Let o(h) = h**3 + 8*h**2 - 7*h + 12. Let n be o(-8). Let u = 2397/8 + -1153/4. What is the common denominator of u and n/220 + 10/(-25)?
88
Suppose 5*x - 29 - 106 = 0. Suppose 0*p - x = -3*p. Suppose 4*w - 241 = 3*d - 216, 4*w - 4*d = 20. Calculate the least common multiple of p and w.
90
Suppose 2*w + 3 = 55. Calculate the common denominator of -48/5 and w/30 - (-1)/(-6).
10
Suppose 0 = 3*n + 19 - 4. Let j be 140/(-1184)*(-18)/n. Let w = 12/37 - j. What is the common denominator of w and 37/12?
12
Let y = 2/5963 - 602279/47704. Calculate the common denominator of y and 25/24.
24
Find the common denominator of 2180/12*(-4)/40 and -47/12.
12
Let m = 346 + -334. What is the least common multiple of 18 and m?
36
Suppose -4*l - 5 = -5*n - 1, -5*n = -5*l. Calculate the common denominator of ((-150)/l - 1)/(4 - 0) and 109/54.
216
Let m = 6 + -105. Let d = 23837/12 - 1983. Calculate the common denominator of d and (m/(-3))/(6 - 1).
60
Calculate the lowest common multiple of (-9)/(-12)*48/18 and 90.
90
Let z = -2300 + 2315. Let l = 54 + -33. Calculate the smallest common multiple of l and z.
105
Let g = -15797 + 7124433/451. Find the common denominator of -101/10 and g.
4510
Suppose 10 = a - z, 4*a - 41 - 2 = 5*z. What is the lowest common multiple of ((-4)/3)/((-2)/6) and a?
28
Let a = -4538 - -81763/18. Find the common denominator of a and (-2)/(-12)*54/4.
36
Calculate the common denominator of (90/(-308))/((-48)/(-64)) and 11/56.
616
What is the least common multiple of 52 and (192/15)/(36/(-10) - -4)?
416
Let u be ((-5)/(-14))/((-2)/(-2480)). Let p = 61167/140 - u. Let g = -9671/14 - -688. Find the common denominator of g and p.
140
Let d(m) = m**2 + 2*m + 15. Let x = -46 + 76. What is the lowest common multiple of x and d(-5)?
30
Let m = -827/3 - -276. What is the common denominator of m and (376/(-150))/(4/(-10))?
15
Let b = 59507/348 + -2035/12. Let t = 18919/9 + -2100. What is the common denominator of t and b?
261
Let m be (-4180)/(-6) - ((-4)/3 - -1). Let h = 7625/11 - m. What is the common denominator of h and 23/9?
99
Suppose -90*d = -88*d - w - 1525, 0 = -3*d + 5*w + 2291. Calculate the smallest common multiple of d and 4.
1524
Suppose 2*n + 14 - 18 = 0. Let h be (2 + 0)*37/n. Suppose 3*s - 29 - h = 0. What is the lowest common multiple of s and 26?
286
Let j(a) = -2*a + 5. Let r be j(4). Suppose -n = -3 - 19. Calculate the lowest common multiple of (-6)/2*-1 - r and n.
66
Let h be ((-10)/(-15))/((-2)/(-45)). Let r be ((-5)/h)/(4/24). Calculate the common denominator of 294/36 + r + -2 and -47/2.
6
Suppose 1389 = 21*q - 1257. Calculate the lowest common multiple of q and 280.
2520
Suppose -45*d - 396 = -49*d. Calculate the smallest common multiple of d and 44.
396
Let i = -7207 + 64790/9. Calculate the common denominator of 185/(-12) + 4/(-12) and i.
36
Let o = -8813/60 + 585/4. Calculate the common denominator of -119/20 and o.
60
Suppose 0 = -3*n - p + 270, -3*p - 180 = -2*n - 6*p. Calculate the smallest common multiple of 90 and n.
90
Calculate the common denominator of (114/(-4))/(3 + 378/24) and 91/40.
200
Suppose -16*i + 13 = -179. What is the least common multiple of 312 and i?
312
Let g = -2/8911 - -187181/222775. What is the common denominator of g and -24/7?
175
Let t(y) = -2*y**2 - 68*y + 82. Calculate the least common multiple of 16 and t(-35).
48
Suppose 56 = 13*l + 17. Suppose 0 = -5*c, 2*z - 6*z - l*c = -16. Calculate the lowest common multiple of 8 and z.
8
Let k = -373 - -393. Suppose 3*r = 2*m - 5*m, -2*m + 3*r = 5. Let f = 15 - m. What is the lowest common multiple of k and f?
80
Let n = 788 + -383. What is the lowest common multiple of n and 9?
405
Find the common denominator of ((-618)/4)/((-72)/(-4)) and 49/18.
36
Let u = 10