84/6 + 1 + -1. Let p = a + -300. Let b = -5825 - -5871. What is the common denominator of b and p?
3
Let r(f) = 7*f - 11. Let x be r(-5). Calculate the common denominator of -3/8 and 16/(-24)*150/x.
184
Let h(z) = z**2 - 4*z - 5. Let v(x) = x**3 + x**2 - 3*x + 1. Let a be v(2). Calculate the least common multiple of h(a) and 16.
16
Let z = 50 - 44. Suppose -3*j + 44 = 2*j + 2*k, -3*k = -z. Calculate the least common multiple of j and 6.
24
Let x = -1472566/1107 - -46322/123. Let a = -954 - x. What is the common denominator of -44/9 and a?
27
Let n = 63 + -58. Suppose 2*r + 4*o = 64, 0*o - 66 = -2*r - n*o. Calculate the common denominator of r and 31/8.
8
Suppose 0 = -5*z + 447 + 443. Calculate the lowest common multiple of 4 and z.
356
Let j be 1*(1 + 2 - 6). Let x = j + -5. What is the common denominator of 85/6 and (1/3)/(x/(-558))?
12
Let u = 8 - 10. Let x be (-22621)/210 + u/5. Let l = -926/7 - x. What is the common denominator of l and 29/22?
66
Find the common denominator of (-1)/3 - 186/(-155) and -25/6.
30
Suppose h = 5*h + 60. Calculate the lowest common multiple of 52/6 + (-5)/h and 17.
153
Let c = 2983/1392 - 7/87. Find the common denominator of c and -5/71.
1136
Suppose 203 = 3*b + 5*l + 29, 115 = 2*b + 3*l. Let q = -43 + b. Calculate the smallest common multiple of 8 and q.
40
Let u = 3186 - 9440/3. Let v = -862/21 + u. Find the common denominator of v and -1 + 1 + (-34)/(-20).
70
Let p(b) = -2*b - 18. What is the least common multiple of p(-19) and 36?
180
Let z = -22141/6 + 3700. Let x = -29081/18 + 1616. Find the common denominator of z and x.
18
Find the common denominator of ((-9)/18 - 1)/((-42)/(-178)) and -113/78.
546
Suppose 3165 = 53*n - 2241. What is the least common multiple of n and 8?
408
Let j = 70/5363 - -1116893/1126230. Find the common denominator of 85/273 and j.
2730
Suppose g + 3*g = 436584. Let p be 1*-3 + g/66. Let s = 1649 - p. Find the common denominator of -133/6 and s.
66
Suppose 16*u = -5*d + 15*u + 95, 0 = 4*d + u - 75. Calculate the lowest common multiple of d and 10.
20
Suppose -3*o + 345 = 3*f, o + 463 = 4*f + 6*o. What is the smallest common multiple of f and 4?
112
Suppose -2*n - 3*y - 3 = 4, 10 = 4*n - 2*y. Let z(r) = -r**3 + 4*r**2 + 2*r + 1. Calculate the lowest common multiple of n and z(0).
1
Let y(p) = p**3 + 42*p**2 + 40*p - 13. Calculate the least common multiple of 58 and y(-41).
812
Suppose -6*q = -2*q. Suppose 4*b - 2*b - 16 = q. Suppose -3*g - d + 25 = 0, -2*g = 5*d - 3 + b. Calculate the lowest common multiple of g and 4.
20
Let c(t) = -t**3 + 2*t**2 + 3*t + 3. Let l be c(3). Suppose 18 - 6 = l*n. What is the least common multiple of 6 and n?
12
Let d = -347/10 + 56/5. Let m(v) = v**3 + 4*v**2 + 2*v + 6. Let t be m(-4). What is the common denominator of t/(-22)*289/34 and d?
22
Let w = 2035 + -2053. Find the common denominator of -101/52 and w.
52
Let t = 13309/11 + -1214. Let s be (-20)/(-255) - (-4)/(-6). Let u = 16/85 + s. Calculate the common denominator of u and t.
55
What is the common denominator of 119/30 and (6/(-288))/(6/786)?
240
Let n = -235/374 - 9076/5049. Calculate the common denominator of n and 83/126.
378
Let h(a) = -2*a - 7. Suppose 0 = -t - 4*c - 12 + 4, 3*t + 2*c = -14. Calculate the least common multiple of h(t) and 20.
20
Let q be (0 - -1) + 24 + 4. Suppose p - q = 55. Calculate the least common multiple of 10 and p.
420
Let a be ((-18)/15)/(4/(-20)). Suppose -3*w + t + 10 = 0, -3*t - 4 = -2*w - 2. Suppose w*y - y = a. Find the common denominator of y and 11/12.
12
Suppose 0 = 11*t + 8 - 41. What is the common denominator of 55/24 and ((-11)/((-4356)/(-405)))/(t*-1)?
264
What is the lowest common multiple of (-6)/(-3)*(-1 - -3) and 194?
388
Suppose 21*b - 24*b = k - 32, 2*k = 5*b - 68. Calculate the lowest common multiple of b and 10.
60
Suppose 17 = 4*v + d, 4*v + 5*d = 2 + 19. Suppose -4*n = -5*z + 1, -n - 17 = -z + v*n. What is the least common multiple of 28 and z/12 - 65/(-20)?
84
Let g = 117105869/33968 - 207/2123. Let k = 3450 - g. Find the common denominator of 2/(-6) + (-251)/(-42) and k.
112
Suppose 4*x - 2 + 34 = 0. Let l = 3 - x. Let n(m) = m**3 - 4*m**2 + 3*m - 4. What is the smallest common multiple of n(4) and l?
88
Let d(w) = -w + 4. Let u be d(-2). What is the smallest common multiple of 2 and (-80)/(-28)*21/u?
10
Find the common denominator of 538/(-245) - (-8 - -7 - 1) and 41/11.
2695
Suppose -10*t + 20 = -12*t. Let n be 18333/t + (-5)/25. Let g = 1875 + n. Calculate the common denominator of -151/24 and g.
24
Let q = -1 + 6. Suppose -5*a + q = -15. Suppose 37 = 2*d + p, -2*p - 112 + 42 = -a*d. What is the least common multiple of d and 12?
36
Suppose x - 10*x = 0. What is the common denominator of x/(-1) + (-1914)/(-484) and (-2)/20*33 + -1?
110
Let q = -257 - -260. Let u(f) = -f**2 - 12*f - 3. What is the lowest common multiple of u(-11) and q?
24
Let w = -147539 + 55769687/378. Find the common denominator of w and 115/98.
2646
Let g(o) = 26*o - 55. Calculate the lowest common multiple of g(4) and 532.
3724
Let g = 284 + -169. Calculate the smallest common multiple of 6 and 1656/g + (-2)/5.
42
Calculate the common denominator of (-342)/8*12/180*-1 and -38/25.
100
Let q(y) = 8*y + 33. What is the least common multiple of 33 and q(-3)?
99
Let f be (-9)/2 + 3/(-6). Let l = f + 1. Calculate the common denominator of -5/48 and (-31)/l - (-40)/10.
48
Find the common denominator of -51/5 and (-8)/14 + (380/(-168) - 6).
30
Calculate the common denominator of 166/(-9)*(-27)/(-126) and -37/33.
231
Let b be 5/30*2904/22. Suppose -2*w - 122 = -12. Calculate the least common multiple of (-6)/(-10) - b/w and 4.
4
Let m = 1670 - 1398. What is the smallest common multiple of 10 and m?
1360
Let h be 2496188/(-517020) - 2/(-5). Let v = h + -2/3693. What is the common denominator of v and 2/(-4)*138/(-4)?
28
Let n(i) = -2*i - 1. Let g be (-6)/(-20)*1/18*-49846. Let r = g + 2516/3. Calculate the common denominator of r and n(3).
10
Let f = -1215329/60 + 20256. What is the common denominator of -157/30 and f?
60
Let u = -1783538559/16163 - -110347. Let j = -404113/307097 + u. Find the common denominator of -27/7 and j.
133
Let g(j) = j**3 - 4*j**2 - 5*j - 8. Calculate the lowest common multiple of 4 and g(6).
68
Let k = 1948531/42 + -46391. What is the common denominator of -59/96 and k?
672
Let a(m) be the first derivative of 6*m**2 + 80*m + 40. What is the smallest common multiple of a(-6) and 13?
104
Let j = -2/8891 + -720143/124474. Calculate the common denominator of j and -57/7.
14
Let b = 29 + -44. Suppose -5*n = -5*m - 890 - 320, 0 = -2*m + 3*n - 480. What is the common denominator of (-6)/b + m/140 and 89/20?
140
Let f be 39/(-45)*39695*(-1)/6. Let o = -5730 + f. What is the common denominator of o and 43/18?
18
Let j(f) = -f**3 + 11*f**2 - f + 31. Let n be ((-24)/(-120))/((-2)/(-110)). Calculate the lowest common multiple of j(n) and 6.
60
Calculate the common denominator of 37/8 and (1 - 10/12)*(-3348)/1308.
872
Let f(l) = 7*l**3 + 6*l**2 + 4*l + 3. Let n be f(-3). Find the common denominator of -50/27 and (1 - 3)*388/n.
54
Let b be (-13)/(-6) + 2/(-12). Suppose -5 + b = 3*y, -2*v = 4*y - 26. What is the common denominator of 1*1/(v/(-57)) and 39/10?
10
Let t = 1160 + -1150. What is the least common multiple of 20 and t?
20
Suppose 0 = -11*v + 27*v - 160. What is the smallest common multiple of v and 790?
790
Let k(n) = -n + 3. Let t be k(3). Let r(h) = -h**2 + h + 3. Let j(b) = -5*b + 52. What is the smallest common multiple of r(t) and j(10)?
6
Let v = -66 + 75. Let c = 154 - 599/4. What is the common denominator of (v/6)/(1 - 110/128) and c?
12
Let j = 472 + -492. Calculate the common denominator of ((-4)/(-10))/(12/(-235)) and j.
6
Let k = -37 - -55. Find the common denominator of 0 - (1 - (-178)/(-16)) and k/(-32) - (4 + -8).
16
Find the common denominator of 12/25 and 4/(-22) - (7930/(-2475) - -1).
225
Let j = 1000 - 866. What is the lowest common multiple of j and 6?
402
Let x be (569460/(-80))/((-1266)/4). Let j be (-808)/3798 - 4/(-18). Let s = x + j. What is the common denominator of s and 117/20?
20
Let c(q) = 2*q**2 - 30*q - 14. What is the smallest common multiple of c(16) and 39?
234
Let z = 1837314 - 275595877/150. Let x = 9/50 + z.