 - 654 = -u*w, w - m = -w + 326. Suppose 16*v + w = 22*v. What is the smallest common multiple of v and 15?
135
Suppose -151*h + 75 = -156*h. What is the common denominator of 31/22 and (h/110 - -1)/(2/(-2))?
22
Let v(c) = c**2 + 8*c - 56. Suppose -34 = -5*a - b, 10 = -4*b + 26. What is the least common multiple of v(a) and 35?
140
Let y = -28/13 - -815/312. Let q = -2/6945 + 25939591/55560. Let s = 464 - q. Find the common denominator of y and s.
24
Let m(u) = 113*u**3 + u**2 + 4*u + 10. Let n be m(-4). Let t be (4 + -3 + n)/(-2 + 1). Let a = t - 130127/18. What is the common denominator of a and -11/9?
18
Calculate the common denominator of -29/84 and 86/430 - 619/(-630).
252
Let i = 11/333 - 16427/3330. Suppose 0 = 4*a - 73 - 103. Find the common denominator of (-2)/(-5) - 99/a and i.
20
What is the common denominator of (-3 - 89/12) + 0 and 862/(-1260) - (5 + 188/(-40))?
252
Let w = -467483/1082796 + -2/24609. What is the common denominator of w and -91/2200?
2200
Let d = 218 + -216. Calculate the lowest common multiple of (162/9)/d*(-2 + 3) and 52.
468
Let s = 188001/8 - 2912711/124. Let i = s + -20/31. Find the common denominator of 1/9 and i.
72
What is the least common multiple of 4396 and (-10 - (-5502)/(-15))*(-250)/15?
43960
Suppose 0 = -w + 34 - 26. Let y be (3 - (-3)/(-3))/((-4)/w). What is the common denominator of (-1170)/(-18)*(-1)/y and -31/2?
4
Let u = -13/166 - 5168/249. Let f = 3016055/108 + -27926. Calculate the common denominator of u and f.
108
Let k be ((-6)/12*-1)/(2/(-780)). Calculate the smallest common multiple of (-234)/k*(-20)/(-6) and 16.
16
Suppose l = g - 3857, -l + 5*l = -g - 15408. Let n = -9813 - l. Let x = n + 53570/9. Calculate the common denominator of x and -7/9.
9
Let n = 118812464/13 + -14049844007/1534. Let w = n - -19539. What is the common denominator of w and -3/7?
826
Let w = 4073/252 + -827/42. Find the common denominator of w and -47/3552.
10656
Let b(a) = 9*a**3 - 3*a**2 - 22*a + 53. What is the least common multiple of 828 and b(2)?
828
Suppose -4*p - s = 95, 0 = -p - 2*p + 3*s - 75. Let l be (-1 + 11)/((-16)/p). Calculate the common denominator of 69/(-4) + (l - 16) and -29/8.
8
Let v = -262 + 360. Find the common denominator of (-54)/(-90) - v/120*2 and (-1)/(-90)*(-1 - -3).
90
Let b = -47/2340 + -26083/2340. Calculate the common denominator of b and ((-6)/(-21))/(2/3).
42
Let h(p) = -7*p**2 + 172*p + 83. Calculate the smallest common multiple of 288 and h(25).
288
Suppose -6*x + i - 8133 = -x, i + 4875 = -3*x. What is the smallest common multiple of 56 and x/(-51) - 2/(-17)?
224
Suppose -2*i + 2*h = -0*h - 20, -4*h - 48 = -5*i. Suppose -a + 1 = -3*y + i, 22 = 2*a + 3*y. Calculate the lowest common multiple of (-1 - (-1 - 2))*4 and a.
40
Suppose t - 8 - 5 = -4*p, -t = -3*p + 8. Suppose 20 = 5*x, -q = -3*x + 1 + t. What is the least common multiple of q + (-6)/9*-3 and 4?
12
Let c(u) = u**3 + 4*u**2 + 3*u + 2. Let l be c(-3). Let x(b) = -13*b + 56. Let s be x(5). What is the common denominator of 83/24 and (-66)/s - 1/l?
24
Suppose -10 = -3*l + 5*u + 33, 0 = -5*l + u + 35. Suppose 0 = 3*z - 4*z + l. What is the smallest common multiple of z and (-38)/(-4) - (-2)/4?
30
Suppose 96*l - 27*l - 3738 - 63399 = 0. What is the lowest common multiple of l and 70?
9730
Let a = -199659/16808 - -8/2101. Let b = -9122 + 146051/16. Calculate the common denominator of b and a.
16
Suppose 248 = -103*i + 863 + 3402. Calculate the lowest common multiple of 1183 and i.
3549
Suppose -6*f = 10*f + 20*f + 144. Let o(s) = -32*s - 48. Let r(h) = 11*h + 16. Let u(j) = 6*o(j) + 17*r(j). Calculate the lowest common multiple of u(f) and 2.
4
Let m = 540/17 + -7980/187. Let a = 337/44 + m. Calculate the common denominator of a and 33/292.
292
Suppose -14535 - 3789 = 4*r. Let z = -3/467 + 28559/11208. Find the common denominator of z and ((-2)/(-9) + r/1296)*2.
24
Let h(m) = 4*m**2 - 16*m - 72. Let o be h(-5). What is the lowest common multiple of (-49)/(-4) + 5/(-20) and o/(-45)*3*(-40)/18?
48
Let v(i) = i**2 - i - 20. Let o be v(20). Calculate the common denominator of (-89)/(-10) + 3/1 and (-2*325/o)/((-2)/(-6)).
60
Let g be (-8)/360*-3*-1521. Let y be -2*893/15 - -2. Let p = y - g. What is the common denominator of -53/7 and p?
21
Let g be 0 - ((-6 - 10) + 6). What is the common denominator of (g - -20)/(64/(-10)) and -139/18?
144
Let u = 16885 + -16751. What is the lowest common multiple of u and 20?
1340
Find the common denominator of 27/55 and ((-328)/(-1140)*3*-5)/(44/1).
2090
Let j = 5340469/1190 - 31413/7. What is the common denominator of -169/270 and j?
4590
Let p be (0 + -1)*(-55 + 0). Let f = -50 + p. Suppose 5*t = -f*o + 50, -t - 12 = -4*o - 42. Calculate the smallest common multiple of t and 10.
70
Let n = 53 + -135. Let b = n - -26. Calculate the common denominator of 41/6 and -7 + 2 + (-90)/b.
84
Let v = 5330 + -1784. What is the smallest common multiple of v and 12?
7092
Suppose 3*y = 3*d + 18, -3*y - 5*d = y - 42. Suppose -y*p = -44 - 12. What is the lowest common multiple of p and 29?
203
Let l(b) = -6*b**2 + 14*b - 4. Let s be l(2). Find the common denominator of (-1 - s)/3 + 221/24 and 69/20.
40
Let m = -5302 + 5365. Calculate the least common multiple of 1512 and m.
1512
What is the smallest common multiple of ((-12)/5)/(-6)*(-3 + 959 + 4) and 204?
6528
Suppose 2*z - 3*g - 1302 = 1937, 2*z + 5*g = 3231. Let f = 5180 + -60563/17. Let d = f - z. Find the common denominator of -85/6 and d.
102
Let o(w) = -3*w**3 - 14*w**2 + 32*w + 5. Calculate the smallest common multiple of 40 and o(-7).
1240
Suppose 7*a + 7*q = 2*a + 17072, 0 = -5*q - 45. What is the least common multiple of 9 and a?
30843
Find the common denominator of 5103/(-2352)*8/66 and 101/374.
5236
Let q be -3 + 469*8/(-1632). Let a = 5/102 + q. What is the common denominator of a and 1/5?
20
Let q(h) = 10*h**2 + 45*h - 270. Let u be q(6). Let t = -19036 + 38769/2. Let x = u - t. Calculate the common denominator of -13/2 and x.
2
Let z be (-21841085)/(-528) + (288/66)/(-8). Let m = z - 41363. What is the common denominator of -11/96 and m?
96
Let m(n) be the first derivative of 22*n**2 + 181*n - 13. What is the lowest common multiple of m(-4) and 20?
20
Find the common denominator of 73/1254 and (1683/30)/(1368/8).
6270
Let x(r) = -2*r**3 + 17*r**2 - 17*r - 8. What is the least common multiple of 142 and x(7)?
1420
Let t = -5600177284204571/657 - -8523857233407. Let w = t + 4690809. Let c = 23/73 + w. Find the common denominator of -27/4 and c.
36
Let t(o) = 3*o - 8. Let s be 13/(-3)*-1*3. Suppose -7*h + 36 + s = 0. What is the lowest common multiple of t(5) and h?
7
Suppose 6*p + 1 = 25. Suppose 3*v = -5 - p, 84 = 5*y - 3*v. Calculate the lowest common multiple of 87 and y.
435
Let y(i) = -20*i - 53. Let q be y(-3). Suppose 0 = -q*h + 5 + 2. What is the lowest common multiple of 10 and h?
10
Suppose 4*j = -2*q + 40, 2*q - 3 = -3*j + 35. Let h be q/9 + (-24)/(-108). Calculate the lowest common multiple of 14 and (-3 - 0)*(-5 - (-6 + h)).
42
Let p = 93308/99363 + 1/3011. What is the common denominator of p and 2/345?
3795
Let h be (-5 - 8/((-64)/(-37635))) + 4. Let z = h + 4699. What is the common denominator of z and -103/40?
40
Let a(q) = q**3 + 5*q**2 - 7*q - 1. Let m(b) = -b**2 + 37*b + 76. Let h be m(37). Suppose 83*l = h*l + 42. What is the smallest common multiple of a(-6) and l?
30
Let m = -2657 + 26619/10. What is the common denominator of m and -55/976?
4880
Find the common denominator of (786/114 - 7) + 9772/44460 and -17/65.
585
Suppose 6*k - 3*k + 3*j = 6, -32 = 4*k - 4*j. Find the common denominator of (50/24)/(8/(-12)) and (-20)/72*15 - k.
24
Suppose 26480*s = 26476*s + 208. What is the smallest common multiple of s and 1288?
16744
Suppose k - 1048*w + 1046*w - 950 = 0, w = -4*k + 3764. Calculate the smallest common multiple of k and 2826.
2826
Let o be -3 + -2 + 5 - (-1 - -79). Find the common denominator of -28/11 and ((-354)/o - 0) + -5.
143
Let r(i) be the first derivative of -i**4/4 - 5*i**3/3 + 7*i**2/2 + 2*i - 15. Let n be r(-6). What is the common denominator of 133/6 and n/7*-3*(-87)/36?
42
Let v(t) = -t**3 + 4*t**2 - 8*t + 9. Let u be v(2). What is the smallest common multiple of 114 and (9/(-4))/u*(-16)/6?
114
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