 What is the common denominator of n and i?
77
Suppose 16 = 3*u - n, 0 = 4*u + n - 5*n - 16. What is the least common multiple of u and 429?
858
Let k be 109/(-5884)*5*-251. Let f = k + 2/1471. Calculate the common denominator of f and 25.
4
Suppose 5*d = -5*q + 135, 3*d - 41 = -q - 8. What is the smallest common multiple of (-1*(-6)/4)/(129/1720) and q?
120
Let w = -17993/5868 + 7/652. Find the common denominator of w and ((-2)/15*-1)/(32/(-2184)).
90
Let q = 58 - 36. Suppose -2*t + 8 = 2*g - 4, -g + 3*t + q = 0. Suppose -4*k - k + g = 0. Calculate the smallest common multiple of 12 and k.
12
Let w be (855 - 6/2) + -2. What is the common denominator of 11/6 and 2/(-3) + w/330?
66
Let l(x) = 2*x**2 - 34*x - 28. What is the lowest common multiple of 3 and l(19)?
48
Suppose 3*c - 263 - 100 = 0. Suppose -8*g + 55 = -c. What is the lowest common multiple of g and -2 + -1*(-2 - 2)?
22
Let f = -11755/12 + 2957/3. Let r = 737/8 - 371/4. Find the common denominator of r and f.
24
Suppose 3*t + 10 = 4*u - 101, 34 = u - 2*t. Let o = -16 + u. Let z = -49 - -69. What is the lowest common multiple of z and o?
40
Let q(k) = 9*k - 4. Let w(r) = -2*r - 1. Let n(m) = -q(m) - 4*w(m). What is the least common multiple of 8 and n(2)?
24
Suppose -4*o - 12 = 4*d, -1 - 4 = -5*o - d. Suppose -p + 2 + 43 = 3*u, -2*u + 23 = 3*p. Suppose 8*m = 16 + u. Calculate the least common multiple of m and o.
4
Let v = -148182411 - -1210502057137/8169. Let x = v + -4/1167. Find the common denominator of x and -10/11.
77
Let r = 127 - 106. What is the least common multiple of r and (-11)/3*(-1 - 2)?
231
Let r = -2847 - -2943. Calculate the smallest common multiple of 72 and r.
288
Suppose 12*y + 15 = 39. Calculate the smallest common multiple of 25 and y.
50
Let d = 62/21 + -421/42. Let l = 1555193 - 786928067/506. Let u = l + -64/23. What is the common denominator of u and d?
154
Let o = 2370/271 + -914835/101354. Find the common denominator of 59/2 and o.
374
Suppose 0*f - 261 = -3*f. Let z = -71 + f. Let q(u) = -u**3 - 4*u**2 + 3*u + 2. What is the lowest common multiple of q(-5) and z?
48
Let k be -5 + 76/14 - 41/105. Let p = 253/525 + k. Calculate the common denominator of p and -40/9.
225
Suppose 5*k + 5*o = 320, -3*k - 5*o + 69 + 117 = 0. Let p = k - 37. Calculate the smallest common multiple of 2 and p.
30
Suppose 3*p - 852 = -4*m, 11*p - 12 = 8*p. Calculate the least common multiple of 189 and m.
1890
Let v(x) = -x. Let n be v(-4). Let p = 1327/55 + -294/11. Find the common denominator of p and 234/16 + n + -7.
40
Suppose -4*h + 9*h - 2*q = -7, h = -q. Calculate the common denominator of -11/10 and 0 + (405/50)/h.
10
Suppose 8*w + 4 = 10*w. Suppose w = -2*p + 3*u - 1, 4*p - u + 21 = 0. Let v = 8 - p. What is the lowest common multiple of v and 2?
14
Let r = 123 - 104. Let x = 23 - r. What is the lowest common multiple of x and 32?
32
Let o(b) = -b**3 + b**2 + b + 8. Suppose -5*j + 5*l = -2*j - 20, 0 = l + 4. Let n(c) = c**2 - 5*c + 3. Calculate the lowest common multiple of n(5) and o(j).
24
Let g(c) = 58*c - 118*c + 1 + 0 + 61*c. Let u = 19 - 8. What is the smallest common multiple of g(u) and 8?
24
What is the common denominator of -9 + -6*1352/(-864) and -15/788?
7092
Let a = 74 - 79. Calculate the least common multiple of 4 and 9/15 + (-2)/a.
4
Let a be (-10)/25 + (-19261)/10. Let w = a + 1885. Find the common denominator of w and 9/6*202/(-18).
6
Let r(h) = -3 + h**2 + 4 - 36*h**3 - 11*h + 9*h - 3. Let f be r(-1). Let m = f - 34. Calculate the least common multiple of m and 3.
3
Let j(d) = -3*d**2 - 16*d + 37. Suppose 3*u = 6*u - 12. What is the least common multiple of u and j(-7)?
4
Suppose 85*n = 82*n + 378. Calculate the smallest common multiple of 60 and n.
1260
Suppose 3*a + 9 = 0, 4*d - 4*a + 72 = 2100. What is the common denominator of 2*1*2034/d and 7/6?
42
Let u = 51037/11418 + 110/519. What is the common denominator of (-121)/12 + (-8)/12 and u?
44
Calculate the common denominator of -76/27 and (-3)/1 - (-6)/28*50.
189
Let t(p) = p**3 + 5*p**2 - 8*p - 6. Let n be t(-6). Suppose n*o = 9*o - 15. Let u = -2 - -5. What is the least common multiple of o and u?
15
Let z be (3/(-2871))/(28/(-12)). Let w be 2/14*11483/(-319). Let t = z - w. What is the common denominator of t and -40/3?
21
Let d = 1579 - 753. Let p = d + -8147/10. Suppose 8 = -2*q + 4. What is the common denominator of p and q?
10
Suppose -35 = v + 5. Let g be (-3)/2*v/2994. Let r = g + 25858/4491. Find the common denominator of r and -63/10.
90
Suppose -12*k = -13*k + 15. Let t = -11 + k. What is the least common multiple of 3 and t?
12
Suppose -2*c - 3*c + 100 = 0. What is the common denominator of -62/3 and -1 + 81/6 + (-5)/c?
12
Let j = -3157 + 94723/30. What is the common denominator of 91/24 and j?
120
Suppose -10*v = -63 - 177. Find the common denominator of -11/5 and ((-34)/10)/(v/30).
20
Let k(g) = 7*g + 2. Let l(a) = a**3 - 10*a**2 - 10*a - 10. Let m be l(11). Calculate the least common multiple of k(m) and 115.
1035
Let r = -303773 - -253346641/834. Calculate the common denominator of -65/6 and r.
834
Let m be (-4)/4*1*0. Calculate the common denominator of -75/4 and 4 + m - 44/104.
52
Suppose 0 = -4*t - 2*p + 58, 35*t + p + 61 = 39*t. What is the least common multiple of t and 1?
15
Let m be (-10)/40 + (-34)/(-8). Suppose g + 28 = 2*g - 3*x, 5*g = m*x + 195. What is the common denominator of g*((-21)/6)/(-7) and -103/10?
10
Suppose -4*j - 14 = -62. What is the least common multiple of j and 26?
156
Let f(u) = -12*u**2 - 2*u - 2. Let q be f(-2). Let d = -28 - q. Find the common denominator of 14/(-48) + d/27 and -87/2.
8
Suppose -65 + 11 = -6*d. What is the smallest common multiple of 33 and d?
99
Let z(q) be the first derivative of -q**2 - 12*q + 3. Let f be z(-8). Suppose -3*p = 2*y - 11, f*p = p + 3*y - 9. What is the least common multiple of p and 6?
6
Suppose 5*p - 33 = -2*n, 3*p - 4*n + 1 = -0*n. Suppose p*t + 33 = 5*r + 98, -3*r - 75 = -5*t. Calculate the smallest common multiple of 42 and t.
126
What is the common denominator of (-3*1/18)/(45/150) and 1/4*402/(-51)?
306
What is the common denominator of (3/(-9))/(12/(-363)) and 55/24 + ((-10)/3)/(-5)?
24
Let f be ((-4)/(-8))/((-3)/6). What is the least common multiple of 6 and (-5 + 2)*f/3?
6
Let t = 19 + -7. Suppose 25*g - 440 = -9*g - 10*g. What is the smallest common multiple of t and g?
60
Suppose -x - 5 = d - 21, d - 16 = 3*x. Calculate the lowest common multiple of 2 and d.
16
Suppose -2*c - i = -123, 2*i = 7*i + 15. Calculate the lowest common multiple of 27 and c.
189
Let w = -5338289/186 - -28700. Find the common denominator of 91/22 and w.
2046
Let g = -35 + 42. Let x = -7 + 11. Calculate the lowest common multiple of g and (-45)/(-6) - 2/x.
7
Let r(c) = -c**3 + c**2 + 2. Let n be r(2). Calculate the least common multiple of -3 + -17*(n - -1) and 2.
14
Let m(b) = 16*b + 46. Suppose 0 = -3*g - 2*g + 20. What is the smallest common multiple of g and m(-2)?
28
Suppose 0 = -3*n + 3, -3*n + 10 - 2 = -j. Let g(f) = -f**3 - 3*f**2 + 8*f + 10. Calculate the smallest common multiple of g(j) and 6.
60
Let w = -3/691 + 65651/1382. What is the common denominator of w and 4/(132/177) + -3?
22
Suppose -4*x = 2*h + 8, 5*h - 4 - 18 = 4*x. Find the common denominator of 71/(-3 - (h/2 + -28)) and -75/8.
24
Suppose -57605*k = -57612*k + 21. Calculate the least common multiple of k and (6/2)/((-6)/(-8)).
12
Let i = 95 + -35. Calculate the lowest common multiple of i and 2 - (-6)/(-18)*-8*3.
60
Let y = 585 + -81. What is the least common multiple of y and 48?
1008
Suppose -3*i - 14 + 41 = 0. Let k(m) = -m**2 + 7*m + 11. Let p be k(8). Suppose 0 = -p*j + 14 - 5. Calculate the smallest common multiple of j and i.
9
Suppose t = 5*n + 27, -14 = 2*t - 4*n - 38. What is the lowest common multiple of 3/(((-156)/364)/(0 - (-1)/(-7))) and t?
2
Let o(h) = -h - 35. Let x be o(0). Let n be x/(-15)*(-2 - -5). Suppose -4*a + n*a = 54. What is the smallest common multiple of a and 18?
18
Let p(f) = f + 19. Let y be p(-13). Suppose d + 3*h - 12 = 6, 4*h + 24 = 4*d. Calculate the least common multiple of d and y/14 + 60/7.
9
What is the common denominator of (1775/75 - 26) + 193/68 and 133/18?
612
Let v = 1373/518 - 170/111. Calculate the common denomi