Calculate the common denominator of -133/6 and (1 + (-10)/18)/(70/r).
6
Let v be -268*4/(-4) - 2. Let j = 533 - v. Suppose -j*r + 90 = -262*r. What is the smallest common multiple of 7 and r?
126
Calculate the common denominator of 1070/(-8774)*243/(-30) and 33/142.
5822
Suppose 8*b + 360 + 1192 = 0. Let g = 381/2 + b. Let t = -47/18 - g. Find the common denominator of t and 57/10.
90
Suppose -4*v = -5*l - 14, 11 = -3*l + 3*v + 2. What is the lowest common multiple of 12 and 9*l/(12/(-18))?
108
Let z = -41 + 45. Suppose z*h + 286 = 806. Let b = -1169/9 + h. Calculate the common denominator of -43/23 and b.
207
Let y(r) = 12*r**2 + 492*r + 44. Calculate the lowest common multiple of 32 and y(-45).
17632
Suppose -q + 5*w + 120 = w, -4*w + 380 = 4*q. Let s = -3515 - -3615. Calculate the smallest common multiple of q and s.
100
Let x = 8906 + -8771. What is the lowest common multiple of (32/(-10))/((-6)/225) and x?
1080
Let a(v) = v + 12. Let z be a(9). Suppose -g - n = -z, -g - 4*n - 18 = -3*g. What is the common denominator of (-5)/(-35) - g/4 and -59/32?
224
Suppose 99*d + 776 = 103*d. Find the common denominator of 22/5 and ((d/6)/1)/16*2.
120
Suppose -16 = 31*o - 171. Suppose 6 = v + 10*w - 6*w, 18 = 2*v + o*w. Calculate the least common multiple of v and 4/(3 + 93/(-33)).
154
Suppose 15*x + 7 = 37. Suppose 39*g = 40*g + x. What is the common denominator of (627/665)/(g/15) and -61/6?
42
Suppose 1718081*k - 1718210*k = -3096. What is the smallest common multiple of 16/2*21/2 and k?
168
Suppose -5*m = 5*n - 7620, -4*m + 3038 = -15*n + 17*n. Calculate the common denominator of -2 - -1 - n/(-1144) and -49/32.
416
Let l = 17676 + -106117/6. What is the common denominator of l and 23/1683?
3366
Let g(j) = 46 - 27 + 96*j - 25. What is the least common multiple of 90 and g(1)?
90
Let u = 4119 - 41199/10. What is the common denominator of (-12)/320*82/9 and u?
120
Let s(g) = 6*g**2 + 66*g + 266. What is the least common multiple of 147 and s(-4)?
294
Let d = 2403 - 2223. What is the lowest common multiple of 834 and d?
25020
Suppose -3*m + 21 - 15 = 0. Suppose 4*u - m*j - 656 = 0, -4*u + 328 = -2*u - 5*j. Calculate the common denominator of 39/10 and (u/14)/(3 - (3 - 2)).
70
Let d be -8 + 240/(-15) + 99. Suppose 14 + 130 = 2*v. Let l = d - v. Calculate the least common multiple of l and 12.
12
Let w = 17683805206/55 + -321533986. Let m = -10256 - w. What is the common denominator of 119/50 and m?
550
Let v be 4 - (-21)/2 - 6/(-4). Calculate the common denominator of 25/7 and 3/((-54)/(-2856))*(-1)/v.
84
Let o be (-4846)/3 + (9/(-3) - -7). Suppose 2*q = 5*q + 4890. Let w = q - o. Find the common denominator of 6/7 and w.
21
Let i = -8/5161 + -87537/129025. Find the common denominator of i and 59/100.
100
Let i = 10 - 4. Suppose 670 - 1610 = -16*r - 4*r. Calculate the least common multiple of r and i.
282
Let i = 11144/15849 - -1/1761. Suppose 2*z + a + 58 = 0, 2*z - a + 68 = 3*a. Find the common denominator of 28/110*z/9 and i.
297
Suppose 62 = 4*d - 10. Suppose f + 2*f - 24 = -4*k, -4*k + 4*f = -52. Find the common denominator of -79/12 and 68/d*(-4 + k/2).
36
Let n(k) = 39 + 4*k**2 + 2*k - k - 27 + 9*k. Calculate the lowest common multiple of n(-4) and 12.
36
Suppose -2*w = -24*w - 74844. Calculate the common denominator of (-6)/14 + 23301/w and -43/4.
36
Suppose 5*c - 4*w - 28 = 7*c, 13 = -2*c + w. What is the least common multiple of 4 and 1/7 - ((-544)/(-14))/c?
20
Suppose 42*f - 49*f - 140 = 0. Calculate the common denominator of (166/12)/(f/30) and -19/12.
12
Suppose -3400 = -193*c + 2650 - 1225. Let t = 115 + -60. Calculate the lowest common multiple of t and c.
275
Let v = 22/311 + -11033/10885. Find the common denominator of v and (2/40*-34 - -2)/(108/1164).
210
Calculate the common denominator of (-2)/((-348 - (-7 - -11))/(1 - -102)) and 43/66.
528
Let j = -102 - -107. Suppose v = -2*v + j*n + 62, 0 = -n + 2. What is the least common multiple of v and 170/15 + (-2)/(-3)?
24
Let x = -12983/660 + -13/165. Let j = 252 + 180. Find the common denominator of x and ((-6)/(j/(-1192)))/((-4)/(-6)).
12
Let z = -2405210 - -28829869/12. Let y be 2713*-1 + 0 + 0. Let r = z - y. What is the common denominator of r and -19/18?
36
Let n = -1337/285 - -9374671/1998705. Let u = n - 624037/140260. Let a = -2231/4 - -574. What is the common denominator of a and u?
20
Let m(l) = 9*l + 3. Let q be m(-5). Let g = -27130/7 - -3881. What is the common denominator of g and (76/q)/(2/3)?
7
Suppose 0 = 49*q + 182 - 35. Let g(f) = 2*f**3 + 9*f**2 + 5*f - 3. What is the smallest common multiple of g(q) and 9?
9
Let b(u) = -2*u**2 - 61 - 10*u**2 - u**3 - 46*u + 28*u. What is the least common multiple of b(-11) and 70?
560
Calculate the least common multiple of 2/(-4)*(-4 + 20)/((-2)/31) and 9.
1116
Let m = 3649079/41313168 - 122/22069. Calculate the common denominator of m and -61/16.
1872
Let q = -782564 - -995421487/1272. Find the common denominator of -25/24 and q.
1272
Suppose -109*d = -108*d - 130. Calculate the common denominator of 8 and 18/24*16/90*d.
3
Suppose 854 = 25*y - 27*y. Let v = -1813 - -25393/14. Calculate the common denominator of 302/(-126) - 122/y and v.
126
Let z = 941 - 4737/5. What is the common denominator of z and 42/19?
95
Let z(t) = 2*t**3 - 12*t**2 - 19*t + 39. What is the lowest common multiple of z(7) and 9?
36
Let j = -31 - -59. Suppose -159 = -11*a - 24 + 217. What is the least common multiple of j and a?
224
Let w(p) = p**2 + 17*p + 13. Let j be w(-17). What is the least common multiple of 27 and j + (7/7)/((-2)/2)?
108
Let p = 6017/15 - 2124/5. What is the common denominator of (-27)/(-23)*((-45)/36)/5 and p?
276
Let c(x) = 79299*x**2 - 16*x - 14. Let z be c(-7). Let d be (-6)/15 + z/(-840). Let b = d - -4625. Find the common denominator of 83/21 and b.
168
Let b be -5*1/(-15)*(0 - 3). Let a(k) = k**3 - k**2 - k + 44. Let p be a(0). What is the lowest common multiple of 18 and (b/1 - -3)*(p - 43)?
18
Let x be 2/(-5)*(-28 + 18). What is the common denominator of -155/66 and (x - 292/8)*(-4)/(-18)?
198
Suppose -10*h + 9*h + 4 = 0. Suppose -r + 2*r + 3*u = 2, -56 = h*r - 4*u. What is the least common multiple of 3 and 159/((-5)/r*6)?
159
Suppose 11 = 2*t - 3*j, 9*t = 10*t - 5*j - 9. Let r = -54 - -31. Let b = t - r. Calculate the smallest common multiple of 9 and b.
27
Let u(n) = -n**2 - 13*n + 2 + 10 - 5*n + 4*n. What is the smallest common multiple of (-36)/(-8)*-3*(-48)/54 and u(-12)?
36
Let z = -7934 + 8073. Let f = -24 - -31. What is the smallest common multiple of f and z?
973
Suppose 338 = -10*h + h + 1283. What is the lowest common multiple of h and 1350?
9450
Let y be (0 - 1) + 4434/(-66). Let q = y + 1459/22. Find the common denominator of (-10)/50 - (-162)/160 and q.
176
Let j(i) = 40*i**2 - 41*i + 7. What is the least common multiple of j(-3) and 350?
2450
Let h(k) = -23*k + 5. Let r be h(-6). Let x = 161 - r. What is the least common multiple of 9 and x?
18
Let y = -1537/4 + 387. Let c = 89 - 721/8. Find the common denominator of y and c.
8
Suppose 5*n = 7*n - 24. Let l(g) = 21 - g**2 - n - 6*g - 8. What is the lowest common multiple of l(-6) and 22?
22
Let j(n) = -n**2 - 52*n + 111. Calculate the least common multiple of j(2) and 3021.
3021
Let w = -2522 + 2660. What is the smallest common multiple of w and 759?
1518
Suppose s = 4*s - 3*l - 123, s - 31 = -l. Suppose -117*g - 12 = -129*g. What is the least common multiple of g and s?
36
Let o(d) = -d**3 + 2*d**2 + 4*d + 1. Let p be o(3). Let i be p/(-10) - ((-13)/(-5))/1. What is the common denominator of -20/7 and (38 - 39)/((66/(-112))/i)?
77
Suppose 0 = z - 2*z - 2*r + 1, -4*z + 4 = -5*r. Let q be 60/(-25)*-25*z. Let s = -33 + q. What is the least common multiple of 15 and s?
135
Let t(m) = -96*m + 1353. Calculate the lowest common multiple of t(-50) and 1172.
24612
Suppose 0 = -9*v - 11400 + 78. Let o = v + 3841/3. What is the common denominator of o and 46/159?
159
Let k(m) = 6*m - 25 + 2*m - 22 + 13*m. What is the lowest common multiple of k(3) and 52?
208
Let s be -4 + (11 + -1)*-4. Let x be 8/s - (-36)/(-44). What is the common denominator of 33/(-99) - ((-158)/(-84))/x and 83/16?
336
Calculate the common denominator of 73/40 and -5 + (-2927)/(-300) + 14/(-21) - 3