0
Let s = -18877203/230 + 82075. Find the common denominator of s and 111/1610.
1610
Let v = -103 - -109. Let m be ((-4)/(-4))/(v/60). Suppose -m*a + 285 = -45. What is the least common multiple of 45 and a?
495
Suppose -3*j - j + 168 = 0. Suppose -8 = -2*z + 22. Let t = -11 + z. What is the smallest common multiple of t and j?
84
Let t = 341/643 + -3337/216048. What is the common denominator of 41/56 and t?
336
Let t = 66 + 702. Suppose -10*k = 2*k - t. What is the least common multiple of 48 and k?
192
Let f = -601 - -612. Suppose -5*r = -3*i - 72 + f, 44 = 4*r - 4*i. Suppose -2*o + 1170 = 3*o. Calculate the lowest common multiple of r and o.
1638
Let j = 112403/6634 + -528/31. Find the common denominator of 51/38 and j.
4066
Suppose -5*w + 54 = -4*w. Let x = 56 - w. What is the common denominator of 49/4 and (x/((-16)/(-10)))/(504/(-456))?
84
Let r = -6245/1098 + 86/61. Let w be (2 - 4) + (-114)/(-45). Let g = 331/30 - w. Find the common denominator of g and r.
18
Let g = 6 + 2. Suppose -10*l - 174 = -854. What is the least common multiple of l and g?
136
Let q(o) = -o**2 - 8*o + 6. Let b be q(-8). Suppose 3*g = -g - 2*r + b, g - r = 0. Calculate the smallest common multiple of (-11 - -17)*(2 - g) and 4.
12
Let l(k) = k**2 + 31*k - 61. Let x be l(-33). Suppose x*a - 132 = -7*a. What is the smallest common multiple of a and 4?
44
Let h be (0 - -1) + (-2 - (-1628)/1626). Let z = h - 30625/1626. What is the common denominator of 9/86 and z?
258
Let q be (-30)/4*(-3)/(-210)*3760262/33. Let r = 19041 + -6838. Let c = q + r. What is the common denominator of c and -67/24?
168
Let z(n) = -n + 22. Let r be z(14). Find the common denominator of 13/2 and (-350)/r - (-17)/68.
2
Let h be (-81)/15 - 6/(-15). Let o be (h - -1 - -75) + -4. Let i = 76 - o. What is the lowest common multiple of 27 and i?
27
Let j = 500416 + -793169. Let g = j + 5271253/18. Let t = g + -183/2. Calculate the common denominator of -53/3 and t.
9
Suppose -11704 = -2*k - 4*m, -305*k - 3*m - 23331 = -309*k. What is the least common multiple of k and 16?
46704
Let d = 172/97 - 5567/5820. What is the common denominator of -2 + 0 + 2/48 and d?
120
Suppose 114*h - 55*h - 18972 = 42*h. Calculate the lowest common multiple of 744 and h.
2232
Let g be 0/(3/(-5*2/(-10))). Suppose 2*l + 2*u - 20 = g, -40 = -5*l + 3*u + 2. What is the lowest common multiple of 45 and l?
45
Let v = -7453625/18 - -414364. Let t be ((-22)/8)/((-2)/200). Let j = v - t. Calculate the common denominator of -89/6 and j.
18
Let r = 11685 - 10957. What is the lowest common multiple of 700 and r?
18200
Find the common denominator of (65/4)/(1701/54 + -31) and 51/22120.
22120
Let p(o) = -o**3 + 13*o**2 + 10*o - 28. Let z be p(11). Let g = -303 + z. Calculate the least common multiple of g and 133.
399
Suppose -35 = -3*j - 26. Suppose -j*m = -5*p + 55, -4*m + 16 = 5*p - 4. Calculate the lowest common multiple of p and 426.
1704
Let v(l) be the second derivative of -l**5/4 + l**4/12 + l**3/2 + 5*l**2/2 + 2*l - 48. What is the lowest common multiple of v(-2) and 9?
387
Let u be 1322/3*18 - -1. Let h = 18945 - u. Let d = -176117/16 + h. Find the common denominator of -19/2 and d.
16
Suppose 0 = -o + 3*o - 12*f - 106, -f + 389 = 5*o. Calculate the lowest common multiple of o and 3647.
40117
Let c = 8 + -8. Suppose 22 = 5*f + 7. Suppose c = -a - f*k - 3, k - 11 = -5*a - k. What is the least common multiple of 10 and a?
30
Suppose -5*b + 2*j + 48 = 0, 56 = -4*b - 4*j + 72. What is the smallest common multiple of b and 465?
3720
Let j = 51463/22 - 2338. Let c = -5 + 5. Find the common denominator of 102/(-72) - (2 + c + 0) and j.
132
Find the common denominator of 30/(-1125)*(-4 + -186) and -39.
15
Let y(b) = 28*b**3 - 2*b**2 - 9*b + 3. Let m be y(7). Let p = 3787849/401 - m. Let c = p + 17599/6015. What is the common denominator of 83/12 and c?
60
Let p(t) = 431*t + 4069. What is the least common multiple of 90 and p(-8)?
6210
Let l(c) = c**3 - 22*c**2 + 24*c - 23. Let b be l(21). Calculate the least common multiple of ((b/(-12))/2)/((-5)/15) and 55.
55
Let p(i) = -2*i**2 + 34*i + 6. Let s = -86 + 69. What is the least common multiple of -3 + 1*(4 - s) and p(17)?
18
Suppose 26*c - 21 = -4*t + 21*c, 3*t - 3*c - 36 = 0. Let m = 1 + 3. Suppose 2*d = m*d - 196. What is the smallest common multiple of d and t?
882
Find the common denominator of 6/(-10) + 98494/(-31460) and -85/52.
52
Suppose 4*i + 81 = -111. Suppose 3*t = 2*c - 490, -3*c = -t - 5*c - 166. What is the common denominator of t/(-9)*(-6)/i*2 and 77/36?
36
Let x = -39 + 48. Suppose v = x*v + 160. What is the least common multiple of (-114)/(-9) + v/(-15) and 50?
350
Let j = -5 - -13. Suppose 1436*s = 16207 + 35905 + 91488. Calculate the least common multiple of j and s.
200
Let t = -264477 - -2111109/8. Let d = 591 + t. Calculate the common denominator of d and (18/(-10))/((-8)/10).
8
Suppose -4*h + 51 + 249 = 0. Suppose 403*t + 24 = 405*t. Calculate the least common multiple of h and t.
300
Suppose 0*i = 30*i - 90. Find the common denominator of ((3/118)/i - 0)*61 and 3/2.
118
Suppose -2*l + 93528 = -2*f, -f - f + 187050 = 4*l. Let d = l + -3787754/81. Find the common denominator of -20/9 and d.
81
Suppose 0 = 5*c + d - 2559, 2589 = 9*c - 4*c - 4*d. What is the lowest common multiple of c and 3762?
11286
Let n = -8159/2 - -4109. Find the common denominator of -81/2626 and n.
2626
Let b = 3941317/526 - 7493. Calculate the common denominator of 59/6 and b.
1578
Let l = -1047 + 1061. Let k(p) = p**3 + 1. Let q be k(0). Calculate the smallest common multiple of l and (q + 3)*(-12)/(-8).
42
Let y = 1027661 - 2658559056/2587. Calculate the common denominator of y and -37/117.
23283
Let p(q) = q**3 - 33*q**2 + 114*q + 80. What is the smallest common multiple of p(29) and 3570?
39270
Let d = -257642 - -475556. Let x = d - 30508089/140. What is the common denominator of -51/5 and x?
140
Let l(q) = q**3 + 7*q**2 + 6*q + 5. Let h be l(-6). Let t(s) = 41*s + 13 - 52*s - s**2 - h. Calculate the least common multiple of 34 and t(-11).
136
Suppose -3*p - 57687*f + 57689*f + 519 = 0, 5*p - 858 = 3*f. Suppose 3*s + 2*s - 105 = 0. What is the least common multiple of p and s?
1113
Let v = 8981582627/8370 - 153289546/135. Let d = v + 62409. What is the common denominator of 8/7 and d?
1302
Let o = -2/277 - 6367/554. Let g = 54/5 + o. Calculate the common denominator of g and (-21)/(-35)*2*51/(-24).
20
Let t = 5667653 - 57798725245/10198. Calculate the common denominator of t and 107/18.
91782
Let d(z) = -17*z + 70. Let q be d(4). Calculate the common denominator of 139/6 and 1926/(-420) + (-8)/(-28) - q.
30
Let l be (-2)/(-11) - (0 - 9248/(-44)). What is the common denominator of l/(-55)*(-4)/6 + 5 and -94/45?
495
Let i be 119/(-42) - -3 - 23/6. Let h = 65/6 + i. Find the common denominator of 107/36 and h.
36
Let r = 29 + -13. Calculate the least common multiple of 22/r - 1 - 4728/(-192) and 2 + 3 + 0/(-4).
25
Let o be 100/28 - 6/(-14). Let q(t) = -465*t + 10. Let p be q(o). Find the common denominator of -11/3 and 4 + p/312 - 2/13.
12
Let s be (-34)/((-5)/2979*16/(-40)). Let h be (78652/s)/7 + (-8)/(-36). Let w = -512073/45016 + h. What is the common denominator of w and -5/7?
56
Suppose -3*u = -5*p - 87, -27 = 454*u - 455*u + 2*p. What is the least common multiple of u and 279?
3627
Suppose 5*k - 74 = v, k = -4*k + 5*v + 70. Calculate the smallest common multiple of (-30)/4*(-208)/260 and k.
30
Suppose 32 = -8*j + 216. Let f be j/(-6) + (-8)/48. Find the common denominator of 10/48*31 + f and -74/21.
168
Let a = 46571261597/332739198 + -603404/4367. Let p = -28/4233 - a. Find the common denominator of -71/12 and p.
108
Find the common denominator of 14/671 and ((-31)/(-186))/(2/(-3)) + (-410)/(-976).
5368
Suppose 0 = -5*h - 3*w + 1715, 4*h - 9*w + 7*w = 1372. What is the lowest common multiple of h and 21?
1029
Let g(w) = 1691 - 5*w - w**3 - 1668 + 4*w**3 - 3*w - 2*w**3 + 2*w**2. What is the lowest common multiple of g(5) and 6?
474
Calculate the common denominator of 73/1450 and (33/(-1015))/(4/42).
1450
Suppose -2*y - 2 = 6, 2*l = y + 8. Let o = -43 - -46. Suppose 0 = -4*z - o*n + 33, -5*z - 5*n + 56 = 21. Calculate the smallest common multiple of z and l.
12
Suppose -2*u - 