lculate the common denominator of (36/(-15))/(-4) - (-312)/a and (0 - (-1)/(-9))*10.
63
Let y be ((-26)/7 - -2)*(-11 - -18). What is the lowest common multiple of 10 and y/(-9) - 304/(-6)?
260
Let f = 6008864497/240 + -25036819. Let s = -1792/15 + f. Calculate the common denominator of s and 90/8*90/400.
32
Let b = -2 + 13. Let k(j) = j**3 + 3*j**2 - 11*j - 7. Let p be k(4). Suppose 7 = 68*f - p*f. What is the least common multiple of f and b?
11
Let n = -31027 - -558347/18. Calculate the common denominator of (-22 - (-66)/6) + (-3920)/(-357) and n.
306
Let c(b) = -2*b**2 + 29*b + 601. Calculate the smallest common multiple of c(26) and (-5)/20 - (-82)/8.
30
Let k(n) = 2*n**2 - 12*n - 8. Let p be 42/(-12)*1*4/(-1). Suppose -8*g + p = -6*g. What is the lowest common multiple of k(g) and 4?
12
Suppose -31*v + 703 = -661. Calculate the smallest common multiple of (-445)/(-3) + (v/6)/(-22) and 16.
592
Suppose 2*h + 298 = -4*t, -3*h - h = 3*t + 226. Let j = t - -114. What is the lowest common multiple of j and 24?
120
Let s(j) = j**3 + j**2 + 3*j + 2. Suppose 0 = 7*i - 10 + 17. Let g be s(i). Calculate the smallest common multiple of (0 - -87)*g/(-3) and 1.
29
Find the common denominator of -61/860 and (-156)/12 - (-20114)/1548.
7740
Let n = 12540 + -9046. What is the lowest common multiple of 42 and n?
73374
Let n = -9053/7 - -1296. Calculate the common denominator of (-822)/176 - (-2)/(128/(-24)) and n.
154
Let u be 1/(12/37970) + -3. Let l = 828 + 2308. Let i = l - u. Find the common denominator of i and -17/24.
24
Let k(d) = d**2 + 13*d - 360. Let b be k(-27). Calculate the lowest common multiple of 1 and (14 + -7 - 9)/((-2)/b).
18
Calculate the common denominator of (-8)/((-40)/(-3)) + 742/644 and -89/414.
2070
Let t = 30663031 - 1042672455/34. Let y = t - -3805. What is the common denominator of y and -9/34?
34
Calculate the common denominator of -30/713 and 10004/(-1488) + (4 + (-1 - -8) - 4).
8556
Let h(s) = -517*s + 2780. Calculate the lowest common multiple of h(5) and 286.
4290
Suppose -3*k + 4*k = -3*t + 19, 0 = 5*k - 4*t. Suppose -k*h - 216 = 356. Let m = -1006/7 - h. Calculate the common denominator of m and -31/2.
14
Let h = 1028 - 548. What is the lowest common multiple of h and 168?
3360
Calculate the least common multiple of 238 and ((-4)/(-7))/(24/84).
238
Let q = -37 - -40. Suppose -z = -4*z - 6, -q*x + 4*z = -23. Suppose 59 = 4*b - o - 4*o, -o - 79 = -x*b. Calculate the least common multiple of b and 36.
144
Suppose -11*w - 2*a = -7*w - 200, -3*a = -2*w + 132. What is the smallest common multiple of w and 570?
5130
Suppose 5*y = -m + 2, 0 = -5*m + 3*y - y + 10. Suppose 0*o - m*o + 4 = 0. Calculate the smallest common multiple of 8 and 90/11 + 48/(-22) + o.
8
Suppose -5*c = 2*i - 172, -3 = -37*i + 34*i. Suppose 0*r + r = -2*s + 16, -10 = -5*r. Calculate the least common multiple of s and c.
238
Suppose -7*c + 3614 = 541. Let t = c + -433. What is the least common multiple of 4 and t?
12
Calculate the common denominator of 27/50 and (-2)/260*((-138)/(-84) - (-16)/(-224)).
4550
Let t = 1457 + -1447. Calculate the smallest common multiple of t and 8.
40
Let m = -7734 - -10828. What is the lowest common multiple of 26 and m?
3094
Let d = -109978 - -342581489/3115. Calculate the common denominator of d and 69/40.
24920
Let z = 77577/22 + -3522. Find the common denominator of z and -131/3498.
3498
Let l be (27/5)/9 - (-1684)/10. Suppose l = 5*w - 2*n, -8*w - 4*n = -3*w - 157. What is the lowest common multiple of w and 3?
33
Let h = 30637 + -2941031/96. Calculate the common denominator of 83/60 and h.
480
Suppose 43*r - 41459 = 93389. What is the least common multiple of r and 14?
3136
Suppose -4*c + 5826 = -l - l, -4*c - 11676 = 4*l. Let j = -165281 + 649357/4. Let w = j - l. What is the common denominator of 105/22 and w?
44
Let m be 45/((-2)/4 + 1). Suppose -4*n - n + m = 0. Let u(x) = -36*x - 642. Calculate the least common multiple of n and u(-18).
18
Suppose -6*r - 1 = -31. Suppose -r*x = 5*x + 3890. Find the common denominator of 93/8 and 4/22 + x/(-220).
40
Let x be (-26 - -3)*(-1 - 18 - -1). Suppose 3*n - x = 3*b, 4*b - 3*b - 2 = 0. What is the common denominator of -57/8 and 743/n - 18/(-126)?
40
Suppose -6*m + 42 = 24. What is the lowest common multiple of m and 183?
183
Let x be (-49299)/(-2) - (-14 + 475/38). Let p = 142390419/532 + -6803939/28. Let f = x - p. What is the common denominator of f and -13/8?
152
Suppose -10 = 2*o, -2*f + 30 = -5*o + 3. Let b be 6*(-8 - 3/f - 1). Find the common denominator of (b/(-3))/((-1)/(-1)) and -79/6.
6
Let c(h) = -h**3 + 8*h**2 - 2*h + 18. Let r be c(8). Suppose -51 - 3 = -r*d. What is the lowest common multiple of ((-12)/(-9) - 1) + 561/99 and d?
54
Suppose 59*x - 366560 = -159*x - 72*x. What is the smallest common multiple of 3476 and x?
13904
Let x = 47 + -42. Suppose -x*p - 4*p = -1143. Let q = p - 125. What is the lowest common multiple of 38 and q?
38
Suppose -10*m = -3*m - 2254. Let b = 385 - m. Calculate the least common multiple of b and 24.
504
Let h be (732/(-237))/((-6)/(18/(-6))). Let r = h - 4131/1264. Calculate the common denominator of r and 1/20.
80
Suppose -5*l + o - 7871 = -o, 5*l + 7865 = 5*o. Let x be (1 - (-12295)/l) + -3. Let c = x + 2/315. What is the common denominator of -59/18 and c?
90
Let j = 109 + -103. Let z be (-220)/(-14) + (-10)/(-35). Suppose -8*p + z = -4*p. What is the smallest common multiple of p and j?
12
Suppose -162 = 3*g + 4*f, 2*g + 3*f - 5*f = -108. Let w = 57 + g. Suppose 6*v - 18 = w*v. Calculate the least common multiple of v and 9.
18
Let i(m) = -3*m**3 - 14*m**2 + 32*m + 153. What is the lowest common multiple of i(-7) and 176?
2992
Suppose -13*b + 1 = -51. Suppose 12*p = 44 + b. Calculate the least common multiple of p and 123.
492
Suppose -11*s + 45 = -6*s. Suppose 5*k - 8*k = -s. Suppose -9 = -k*n + 2*n. What is the least common multiple of n and 12?
36
Let p(b) = 2*b**2 - 34*b - 10. Let g be p(17). Calculate the common denominator of -51/20 and ((-888)/(-88) + 2)*(-1)/g.
220
Suppose u = -m - 3*m + 137, -4*m + u + 127 = 0. Let h be 4165/28 + (-2)/(-8). Suppose 90 = -144*t + h*t. Calculate the least common multiple of t and m.
198
Suppose -22301*d = -22348*d + 1410. What is the smallest common multiple of 5076 and d?
25380
Let f = 916 + -508. Let y = f + -6521/16. Find the common denominator of y and -13/4.
16
Let l(t) = -t**3 + 4*t**2 + 36*t - 10. Suppose 2*u - 4 = 6. Suppose 0 = d - u - 9. Calculate the smallest common multiple of l(8) and d.
154
Suppose 4*r + 2*m - 17 = 117, 119 = 4*r - 3*m. What is the least common multiple of 364 and r?
2912
Let a = -54/1349623 - 950683887157/35090198. Let o = -27096 - a. Find the common denominator of o and 46/117.
234
Let d(n) = -n**2 + 5*n - 3. Let k be d(3). Suppose -k*h + 72 = h. Let o = -17 + h. What is the lowest common multiple of o and 2?
2
Suppose 2*k + 121 = x - 87, k - 631 = -3*x. What is the least common multiple of 45 and x?
630
Let w be (190/3)/(64/1248). Suppose 0 = -12*q + w + 877. Calculate the smallest common multiple of 14 and q.
1232
Calculate the common denominator of -59/376 and (2/((-1184)/(-4847)))/(15/2).
5640
Let c = 4510 + -4400. Calculate the smallest common multiple of 315/(-27)*(-6)/2 and c.
770
Let n(p) = -140*p - 527. What is the smallest common multiple of n(-4) and 2232?
24552
Suppose 3*t + 64 = 2*t. Let l = 74 + t. Calculate the lowest common multiple of l and 15.
30
Let l be (-2 + -2 + 7)/(-1). Let m(b) = -b**3 - 9*b**2 - 7*b + 19. Calculate the smallest common multiple of m(-8) and 44*(9/l)/(-12).
11
Let u be 205430/21 - (1 + -2). Let y = u + -9780. Suppose 43*i - 102*i + 2436 = -337. What is the common denominator of i and y?
21
Suppose -a + 50 = 14. Let c(d) = d**2 + 52*d - 56. Let g be c(-46). Let u = -331 - g. Calculate the least common multiple of a and u.
36
Let x be 36246/(-2880) + 1/5. Let u = 57/32 - x. Calculate the common denominator of u and (-2)/(-1) + 70/24.
12
Let s be (-1)/((-1)/44) + -1. Let w = s + -31. Let t = 3661 - 3658. What is the least common multiple of w and t?
12
Let i be 1248/33 - (-4 + (-42)/(-11)). Let q = i - -252. Let z = -569/2 + q. What is the common denominator of z and 57/2?
2
Calculate the smallest common multiple o