 1072 = 5*o - 3*j. Calculate the least common multiple of 3 and o.
645
Let a = -1395 - -46031/33. What is the common denominator of 678/(-90) - -1*3 and a?
165
What is the lowest common multiple of 48 and (-8398)/(-266) + -1 + (-10)/(-7)?
96
Let t = 34949/4 + -436831/50. What is the common denominator of t and -127/60?
300
Suppose 6*d - 759 = -159. What is the lowest common multiple of 11 - -4 - 2/(-2) and d?
400
Let n be ((-24902)/(-13872) - 0)/(1/2). Let c = n + -2/289. Find the common denominator of 37/21 and c.
84
Let l = -3/157 - 601/1413. Let k = -1/3 + 0. Find the common denominator of l and k.
9
Calculate the common denominator of (-6554)/8701 - ((-13)/11 + 1) and 2 + 2*(-11)/24.
84
Suppose 3*z - 180 = -z. Find the common denominator of -51/38 and ((-666)/z)/(84/(-45)).
266
Let n be (6/18)/(1/15). Let v be ((-1)/(-1))/(n/45). Suppose v*j = 8*j + 9. What is the smallest common multiple of j and 6?
18
Suppose 0 = 3*v + 4*k - 3*k - 3243, 0 = v + 3*k - 1073. Let t = -3274/3 + v. Calculate the common denominator of t and (-10)/(-22)*20/(-8).
66
What is the common denominator of 71/459 and (-20 - -15)/(12*1)?
1836
Let p = -37 + 86. Calculate the lowest common multiple of 56 and p.
392
Let o = 709/24 - 101/3. Suppose 6*d = -56 - 214. What is the common denominator of o and d/60 - 3/2?
8
Let o = 872 + -862. What is the least common multiple of 35 and o?
70
Let c = -10383/4 - -2576. What is the common denominator of c and -19/10?
20
Let x = 2 - -5. Suppose 22*n = 117 - 51. Calculate the lowest common multiple of n and x.
21
Suppose 257*h - 36 = 254*h. Calculate the lowest common multiple of h and 30.
60
Let k be 1/((-2)/(-2))*-4. Suppose -23 + 151 = 8*w. Let u = w + k. What is the smallest common multiple of u and 2?
12
Let u be 4 - (0 - 60)/(-3). Let n = 6 - u. Calculate the lowest common multiple of 38 and n.
418
Let h(x) = x**2 + 2*x - 5. Let w be h(-4). Let f be w*(12/(-4))/3. Let m = f - -6. Calculate the smallest common multiple of m and 1.
3
Calculate the smallest common multiple of 246 and 1/5 + (-19)/(-5) + 2.
246
Let l = 7597 - 113953/15. Calculate the common denominator of 50/72 + 2/8 and l.
90
Suppose l = -3 + 6. What is the common denominator of -12/11 and (44/24)/(l/(-63))?
22
Suppose -21 = 4*w + 39. Let t = 19 + w. Calculate the smallest common multiple of t/1*(5 + -3) and 3.
24
Suppose 5*d = 2*k - 22, -4*d = -d. Let b(j) = j**2 + 21*j - 45. What is the least common multiple of b(-23) and k?
11
Let p(f) = -f**2 + 8*f - 12. Let g be p(3). Suppose -2*v = -v - 4*y + 9, -3*v + g*y = -18. Calculate the least common multiple of v and 4.
44
Let p = 203 + -200. Suppose -1 - 4 = -i, -4*v + 51 = p*i. Calculate the lowest common multiple of (-1)/4 - (-33)/4 and v.
72
Let p(i) = i**3 - 18*i**2 - 21*i + 47. Let w be p(19). Let d(o) = 4*o - 28. What is the smallest common multiple of 10 and d(w)?
40
Let g = -11789 - -388985/33. Let q = 1789/1110 - 14/37. Find the common denominator of q and g.
330
Calculate the common denominator of (-45)/6 - 26/52 and 47/65.
65
Let r(s) = -s**3 + 9*s**2 + 6*s - 19. What is the lowest common multiple of 10 and r(8)?
930
Suppose -61*v + 75*v - 3696 = 0. Calculate the smallest common multiple of v and 308.
1848
Suppose 2*g = 3*m - 24, -5*m + m - 4*g = -12. Let f = -48 - -68. Calculate the smallest common multiple of m and f.
60
Let f = -114 - -124. Calculate the lowest common multiple of f and 572.
2860
Let c(h) = -h**3 + h**2 - 2*h + 19. Let a be c(0). Suppose -3*u + 106 - a = 0. Suppose 59 = 4*q - u. Calculate the least common multiple of q and 22.
22
What is the smallest common multiple of ((-5)/(-3))/(112/21 + -5) and 9?
45
Let v(z) = 5*z**2 - 5*z - 16. What is the smallest common multiple of v(-2) and 796?
5572
Let y(c) = c**3 - 9*c**2 - 10 + c**2 + 7*c - 4*c. What is the smallest common multiple of 22 and y(8)?
154
Suppose 3*w - 58 = 4*m, -4*w - m + 56 = -15. Let s = 12 + -4. What is the smallest common multiple of w and 42/s - 12/(-16)?
18
Let j(y) = y + 1. Suppose 4*d = 3*t - 80, 2*t - 2*d - d = 55. Let z = t - -2. Calculate the smallest common multiple of j(1) and z.
22
Let r = 146 + -145. Calculate the lowest common multiple of 7 and r.
7
Let z = -19/3860 + 7307/347400. What is the common denominator of z and 53/5?
1800
Calculate the common denominator of (-12 + (-29470)/(-2457))/((-8)/(-762)) and 119/78.
234
Suppose -18 + 3 = m. Calculate the lowest common multiple of 12 and (24/20)/((-6)/m).
12
Let n be ((-1078730)/(-36))/5 + 1. Let a = n + -5986. Find the common denominator of ((-2)/6)/(22/303) and a.
198
Let y = -421/4149 - -1712897/66384. Let f = y + -373/16. Find the common denominator of 169/42 and f.
126
Let r = -608/5 - -221/2. Let j = 59318 + -1008037/17. Let p = j - 1473/136. What is the common denominator of r and p?
40
Let t = -102 - -160. Calculate the lowest common multiple of (-4)/(-6) + (-29)/((-957)/176) and t.
174
Suppose 12 = 4*m - 10*p + 7*p, -4*m + 2*p = -16. What is the least common multiple of m and 6?
6
Let q(l) = -2*l**2 - 6*l + 10. Let z be 3 + ((-2)/(-3))/((-4)/48). What is the common denominator of 43/8 and q(z)?
8
Suppose -7 = b - 9. Suppose -89 = b*f - 5*s, 0 = -3*s - 9. Calculate the common denominator of (-38)/(-12) - (-13)/f and 83/4.
12
Suppose -60 = -4*u + y - 19, -5*u - 4*y + 25 = 0. Suppose 3*c - c + 4*r - 40 = 0, -82 = -3*c + 5*r. Calculate the smallest common multiple of c and u.
72
Let l be 4*(-7)/(-4)*24. Suppose 0*t - l = -6*t. What is the lowest common multiple of 8 and t?
56
Let o(i) = 2*i + 28. Let d be o(-10). Suppose -d*y + 29 = -163. What is the smallest common multiple of y and 9?
72
Let i(r) = -r - 16. Let w be i(-10). What is the least common multiple of 1 and ((-20)/w)/(-4*(-2)/12)?
5
Suppose 0 = 3*a - 6*a - 2*s - 165, 3*a + 159 = -4*s. Let j = a + 66. What is the least common multiple of 22 and j?
198
Let b(d) = -d + 1 + 8*d - d. Let c be b(2). Suppose 0 = -i + 3*n + c, -4*i - 5*n + 69 = -0*i. What is the smallest common multiple of 16 and i?
16
Let q = -7831/1535 + 1/614. Find the common denominator of -53/6 and q.
30
Suppose 0 = z - 17 + 1. Let l(f) = f**2 + f - 32. Calculate the smallest common multiple of z and l(7).
48
Let h = -234/18133 - -195204319/199463. Let t = h - 976. What is the common denominator of 31 and t?
11
Suppose -4*a + 0*f + 76 = -4*f, -3*a + 5*f + 51 = 0. Let s = -5722 + 5725. Calculate the lowest common multiple of s and a.
66
Let v = 139539472111/17717805416 - 209/2579762. Let g = v + -1/1717. What is the common denominator of 29/(-14)*(0 - -1) and g?
56
Calculate the smallest common multiple of (1 - 0)*(511 - 7)/4 and 8.
504
Let k(r) = -2*r**2 + 2*r + 3*r**2 + 0 + 1 + 5. What is the lowest common multiple of 9 and k(-2)?
18
Let k = -4939/36 + 553/4. Let y be (-54)/(-30) - 1/(-5). What is the common denominator of k and 236/80 + y + -2?
180
Let w = 285 + -265. Calculate the lowest common multiple of w and 44.
220
Let t = 626257/30 - 20878. Find the common denominator of 23/105 and t.
210
Suppose 4*u - 68 = 4*x, -2*u + 6 + 76 = -5*x. What is the common denominator of -73/6 and (2 - (-2)/(-4)) + 11/x?
48
Let l = -102898916410317483611/8290373465640067680 + -34/5631435078823. Let u = -5410/3067 - l. Let z = u - -3/160. Find the common denominator of 39/4 and z.
12
Let z = 121 - 107. Calculate the least common multiple of z and 182.
182
Let j(u) = -u**2 + 6*u + 9. Let h be j(7). Let n be h + 2126/(-1064) + 0. Let p = n - -37769/1596. Find the common denominator of 25/4 and p.
12
Suppose 18*o = 17*o - h + 270, -h - 2 = 0. Calculate the smallest common multiple of o and 17.
272
Suppose -82*q + 4971 = -5279. What is the least common multiple of 125 and q?
125
Let u = 1789/56 - 33. What is the common denominator of u and -32/49?
392
Let n = -98399 + 52891. Let m = 2275277/50 + n. Find the common denominator of m and -101/4.
100
Let t(l) = -3*l**2 + 14*l + 7. Let o be t(5). Suppose 10 = o*k + 5*x, k - 3*x = -2*k + 15. Calculate the least common multiple of k and 1.
5
Let w(v) = v**3 - 56*v**2 + 12*v - 141. Calculate the smallest common multiple of w(56) and 21.
3717
Let u = 271592 + -174182. Let k be 2/(-4) - 380069/u. Let f = 1/573 + k. Calculate the common denominator of 85/8 and f.
40
Let h be 32/(-16) - (-106)/38. Let g = -4