14)/8)/7 - 873/(-72)*2 and 648?
648
Suppose 27 = -g + 321. Let p = g - 264. What is the lowest common multiple of p and 60?
60
Let q = 96/2687 + -220237/7142046. What is the common denominator of q and -161/60?
26580
Let q(b) = 27*b**2 + 5*b + 5. Let i(l) = -l**2 - 4*l - 2. Let c be i(-5). Let m be q(c). Calculate the common denominator of m*(-3)/462 - 10/(-55) and -7/16.
112
Suppose 69 = 5*b - 3*p, 2*b = -4*p + 5 + 7. Let v be (-1)/3 + 0 + 88/b. Suppose v = 3*l - 2*l. Calculate the least common multiple of l and 1.
7
Suppose -5*r - 41 - 19 = 0. Let o = 22 + r. Suppose -q = 3*n - 2*q - o, -6 = -n + q. What is the least common multiple of n and 24?
24
Calculate the common denominator of 18/72 + (-602)/1120 and ((-14)/(-6))/((-10)/25).
240
Let w(i) = 49*i**2 + 2*i + 2. Let m be w(-1). Suppose -4*b + 4*a + 107 = -m, -2*a = -4. What is the smallest common multiple of 6 and b?
246
Let u(d) = -9*d + 1. Let z be -6 - (38/14 + 4/14). Let q be u(z). What is the common denominator of 10/20 + q/108 and -131/18?
54
Let c(r) = -6*r + 1. Let x be c(-1). Suppose 53 + x = 2*a. Calculate the lowest common multiple of a and 7*6*(-17)/(-34).
210
Let n = 23657/15 - 1574. What is the common denominator of -131/120 and n?
120
Let w(r) = 3*r**3 + 4*r**2 - 7*r. Let u be w(2). Let o = u + -23. What is the common denominator of (3 - -1) + 469/28 + o and 15/4?
4
Suppose 82 + 17 = -11*l. Find the common denominator of (((-135)/125)/l)/(16/(-190)) and -39/40.
40
Let t(l) = -11*l**3 - l**2 + 3*l - 1. Let d be t(1). Let r be (d/25)/((-56)/1061115). Let p = r + -7577. Find the common denominator of p and 93/8.
56
Let u = -11676 - -12063. What is the smallest common multiple of 369 and u?
15867
Let z = 302 + -565. Let f = z + 2359/9. Calculate the common denominator of f and (-20)/(-450) + 1/(-3).
45
Let z = 39353/19272 - 1/3212. Find the common denominator of 5/1344 and z.
1344
Let w = 262321/65 + -4035. Find the common denominator of w and 25/1456.
7280
Suppose -3*u - 261 = 4*d, 0*u + 4*u = -5*d - 325. Let j = 71 + d. Calculate the least common multiple of j and 28.
28
Suppose -4*x + 280 = 5*n, 0*n + 2*x = 4*n - 250. Suppose 0 = -3*a + 286*z - 283*z + 93, a - 15 = -3*z. What is the least common multiple of a and n?
540
Let q = -18 + 28. Let p(x) = x - 1. Let f(d) = -d**3 - 11*d**2 - 15*d + 4. Let y(w) = -f(w) - 6*p(w). What is the smallest common multiple of q and y(-10)?
60
Suppose -264 = -j + 2*t, 0*t = -5*j + 3*t + 1327. Suppose -j - 238 = -14*u. What is the least common multiple of 44 and u?
396
Let g(n) = -n**2 - 6*n - 2. Let h be g(-7). Let p = -14 + -4. Calculate the common denominator of -71/16 and (h/p)/(8/202).
16
Let w = -146 + 168. Let i = 79 + -77. Suppose 0*j - 40 = -i*j. Calculate the least common multiple of j and w.
220
Let n = 28606725/206 + -138868. Find the common denominator of -50 and n.
206
Let f be (-3)/5 - 33/(-55). Suppose -h - 25 = -3*q, 0 = 5*q - f*h - 3*h - 43. What is the lowest common multiple of 77 and q?
616
Suppose -r + 17 = -2*b, 5*b - r = -47 + 6. Let y = 459/4 + -9959/84. What is the common denominator of 46/b*(-14)/(-84) and y?
168
Suppose 21*p = -10 + 31. Calculate the common denominator of 1/p + 869/440 and -17/144.
720
Suppose -17106 = -150*v - 156. Calculate the smallest common multiple of 2712 and v.
2712
Let t(o) = 3*o - 15. Let j be t(-17). Let n = -54 - j. Calculate the least common multiple of n and 1.
12
Suppose 935*h = 832*h + 1236. Let o(i) = 3*i + 3. Let j = 5 + -2. What is the lowest common multiple of h and o(j)?
12
Let w be 3 + (3 - (-22)/(-8))*28. Suppose w*q = -7*q + 51. Calculate the least common multiple of q and 2.
6
Let t = -62 + 74. Let i = 54 - 52. Suppose i*d - 40 + 0 = -5*c, -4*c + 100 = 5*d. What is the least common multiple of d and t?
60
Suppose -8*i - 96 = -10*i. Find the common denominator of 91/162 and 0 + -1 + (1309/i)/17.
1296
Suppose -24*p + 27*p + 15 = 0. Let b = 50 + p. Let l = 51 - b. Calculate the least common multiple of l and 3.
6
Let o = 1364131 - 12184418053/8932. Calculate the common denominator of o and 34/5.
44660
Let n = -122/543 - 26956/29865. Calculate the common denominator of n and 17/5082.
25410
Let x = -6471 - -7603433/1175. Calculate the common denominator of x and -22/3525.
3525
Suppose 5*o + 3*d = 43, -4*o - 2*d + 36 = 2*d. Calculate the common denominator of 65/14 - (-3 - (5 - o)) and -16/77.
154
Let v(x) = -3*x**3 - 3*x**2 + 3*x - 1. Let p be v(1). Calculate the least common multiple of 21/((-25)/(-10) - 1) + p and ((-2)/4)/(1/(-120)).
60
Find the common denominator of (-10538)/(-1152) - (25 - (35 - 19)) and 91/6.
576
Let u = 1014483 + -8137177/8. Let f = -2696 - -25. Let z = f - u. What is the common denominator of 18 and z?
8
Let o = -16304/25 + 7221697/11075. Find the common denominator of (-12)/16 + 46/(-4) and o.
1772
Calculate the common denominator of -69/220 and 9811/4040 + (-3192)/1330.
44440
Let o = -49 - -94. Let d(f) = f**3 + 10*f - 11*f**2 - 11*f**2 + 5*f**2 + f**3 - 6. Calculate the least common multiple of d(8) and o.
90
Suppose -w + 20*w = -1064. Calculate the common denominator of 131/18 and 83/12 + 1 - (-28)/w.
36
Let q be 1140/171 - 10/6. Suppose 0 = m + 4*m - 20, -q*a - 4*m + 76 = 0. Calculate the lowest common multiple of 2 and a.
12
Let l = -66574059/869 + 76610. What is the common denominator of 38/395 and l?
4345
Suppose 265*j = 252*j + 13065. Calculate the smallest common multiple of j and 469.
7035
Suppose 20*s - 486 = 14*s. What is the smallest common multiple of 45 and (28/42)/(6/s)?
45
Let a = -170/27 + -23257/27. Let i = 855 + a. Calculate the common denominator of -101/42 and i.
42
Let y = 6321/19 + -333. Find the common denominator of y and 281/12 - 3/18.
76
Let x(p) = -p**3 + 16*p**2 - 15*p + 16. Suppose -44*i = -46*i + 88. Calculate the smallest common multiple of i and x(15).
176
Suppose -2041539 = -20*h + 3048081. Let x = -3049267/12 + h. Let r = x + -363. Find the common denominator of 5/21 and r.
84
Let q = -247/6 - -38. Let l = -415 - -4147/10. What is the common denominator of l and q?
30
Suppose -5*m = -6*m - 4*j - 107, 0 = 2*m - 5*j + 162. What is the lowest common multiple of (-64)/(-2)*(m/(-14) + -5) and 60?
240
Suppose 510 = 2057*i - 2056*i. What is the least common multiple of i and 66?
5610
Calculate the common denominator of ((-74853)/43164 - (-27)/(-36)) + (-10)/(-4) and -55/436.
4796
Let t(d) = -3*d**2 + 37*d + 32. Let i be t(13). Calculate the lowest common multiple of -1 - -12 - (i - 4) and 9.
9
Let v(s) = -3*s**2 + 21*s - 64. Let d(p) = p**2 + 3. Let u(m) = 6*d(m) + v(m). Calculate the least common multiple of u(2) and 4.
8
Let t(p) = -13*p - 28. Let s be t(-2). What is the common denominator of -81/8 and 219/(-24) + s/(-4 + 0)?
8
Let x = 8/5981 + -652633/526328. What is the common denominator of 73/180 and x?
3960
Let q = -71/250 - -10829/6000. Find the common denominator of (-6)/(59616/2490) - (-2)/(-9) and q.
1104
Let h = -25 - -23. Let v be ((-20)/(-3))/((-168)/90 - h). Let y = v - 48. What is the smallest common multiple of 11 and y?
22
Let g = 1/408081 - -16322371/354622389. Let f = 32629/65175 + g. Calculate the common denominator of -22/57 and f.
1425
What is the common denominator of 5 + (435/456*2 - 8) and (27/(-6))/(15/(-31))?
380
Let f = 2579/6 - 153338/357. Calculate the common denominator of f and -15/8.
952
Suppose 3*s - 2633 = -4*d, -2*s = -4*d - 21 - 1721. What is the smallest common multiple of s and 4?
3500
Let r(t) = t + 10. Suppose 8*h - 208 = 160. Suppose 22 - h = 3*o. Calculate the lowest common multiple of r(o) and 24.
24
Let v = -445/4 - -123. Suppose 2*r - 20 = -4*q, -2*q + 16 = q + r. Find the common denominator of v and q*(-10)/44 - -3.
44
Let y(f) = 40*f + 1. Let o be y(-4). Let w = o + 229. What is the lowest common multiple of 18 and w?
630
Suppose 19 = 5*n - 5*x - 16, 8 = -4*n - 5*x. Find the common denominator of -29/32 and ((-15)/9 - (-254)/120) + n.
160
Suppose 5*b = 3*y - 13304981, 2660989 = -b - y - 2*y. Let s be 9/(-15) + b/300. Let j = s - -8883. What is the common denominator of j and 131/6?
12
Let r(x) = 85*x - 136. Let y be r(-16). What is the common denominator of (-1207)/y - 2/(-8) and -34/121?
968
Suppose 2*w - 5*j - 22 = 57, 5*w - 120 = -3*j. Calculate the least common multiple