t t = 650 + -378. Suppose -11*m - 52 + t = 0. Calculate the least common multiple of m and 14.
140
Let f be -3*(23/(-3) + 1). Let g = -799/12 + 3355/48. Calculate the common denominator of g and 0 + (-1)/f*-53.
80
Let r(m) = -24*m + 118. Let z be r(2). Suppose 0 = n - 4*k + 14, 3*n = z*k - 69*k + 2. What is the lowest common multiple of n and 19?
38
Let n be ((-8)/(-12))/(1/15). Let p = 22 - n. Suppose -115 = -5*j - 5*a, -13*j + a = -10*j - 49. What is the least common multiple of j and p?
36
Suppose 2*h + 4*q - 218 = 0, q + 110 = 4*h - 290. Let p = 121 - h. What is the least common multiple of p and 14?
140
Let l be (48090/(-190))/(-7) + 6/(-2). Let y = -6813/190 + l. Let i = -27381/14 + 1962. Calculate the common denominator of i and y.
70
Let i = 34 - 22. Let q(x) = 2*x**2 + 259*x + 1506. What is the lowest common multiple of q(-6) and i?
24
Suppose 3*k + 1471 = 5359. What is the common denominator of -43/44 and -1*1 - (-10071)/k - 4?
528
Let u be ((-27)/45*(-30366 - -1))/((-30)/(-20)). Let b = -801291468783/66038510 + -2/33019255. Let x = u + b. What is the common denominator of x and 39/10?
10
Let a(u) = -1134*u + 60. Let x be a(7). Let g = -606622/77 - x. Find the common denominator of -11/28 and g.
308
Let p = -79049/4 - -7588855/384. Calculate the common denominator of 97/144 and p.
1152
Let h(j) = j**2 - j - 37. What is the smallest common multiple of (-1332)/(-48)*12/9 and h(7)?
185
What is the common denominator of -21/55 and (1287/(-576))/(-13)*-4?
880
Let f(l) = -9*l + 49. Let b be f(5). Suppose -b*r + 414 = c + 158, 2*r + 5*c - 128 = 0. Calculate the smallest common multiple of 10 and r.
320
Let s = -2257 - -2309. What is the least common multiple of 44 and s?
572
Suppose -12 + 14 = i. Suppose -3*j = -w - 9, 0 = -i*w - j - j + 14. What is the smallest common multiple of 2 and w/(-4) - (-4)/32*662?
82
Let l be (-2 + 2)*9/27. Suppose -3*x = -3*r - 12, l = -3*r + r. Suppose 2*z = 3*z + 5*u - 10, z = -x*u + 14. Calculate the lowest common multiple of z and 12.
60
Suppose -2*k + 5258 = -0*k - 2*f, -15 = -3*f. Let d = 39487/15 - k. Find the common denominator of 187/30 and d.
30
Let a = -157 - -152. Find the common denominator of -69/34 and ((-20)/136)/a*-101.
34
Suppose 61 = -2*s - 5*q - 138, -4*q - 540 = 5*s. Let i = -108 - s. Let p(r) = r**2 + 11*r - 17. What is the least common multiple of p(-13) and i?
36
Let r(y) = -1395*y - 8331. Calculate the least common multiple of 6 and r(-6).
78
Let r(l) be the first derivative of l**4/4 - 11*l**3/3 - 13*l**2/2 - 13*l - 6. Let y be r(12). Let h = y + 36. What is the least common multiple of h and 1?
11
Let h = -6385 + 76505/12. Let f = 2489/1308 - -3/218. What is the common denominator of h and f?
12
Suppose 763*q + 13633 - 2505 = 789*q. Calculate the lowest common multiple of q and 1926.
3852
Suppose -4*r + 66 = 3*d, 3*d - 44 = 4*r + 70. Calculate the smallest common multiple of 1443 and d.
14430
Suppose -2*s = 207 + 87. Let b = s + 195. What is the least common multiple of b and 6?
48
Let z(d) = 22*d**2 - 144*d - 1927. Calculate the smallest common multiple of 666 and z(-13).
7326
Let w(a) = -a**3 - 12*a**2 + 26*a - 12. Let x be w(-14). Find the common denominator of (-343)/(-210) + (-6)/(-4)*-2 and 115/18 - 8/x.
90
Calculate the least common multiple of (135/(-27) + (-65)/(-7))/(30/2450) and 124.
21700
Let w(i) = i**2 - 28*i + 55. Let k be w(26). Suppose -k*o - 5*v = -2*o - 51, 0 = -o - v + 55. What is the lowest common multiple of 6 and o?
168
Let g(w) = 31*w**2 - 47*w + 142. Calculate the least common multiple of g(3) and 140.
280
Suppose -3 = 2*m - 3*m. Suppose -2*b - 8 = -4*a, -2*a - m*a = -3*b - 8. Calculate the common denominator of -23/14 and (a + (-86)/4)*(-1)/8.
112
Let g = -26381 - -184624/7. Calculate the common denominator of g and (-2)/(-6) - (-148)/294.
49
Let y = -10077 + 120815/12. Let p(i) = -67*i**2 + 3*i - 2. Let u be p(2). Find the common denominator of 126/33 - 4 - (-194)/u and y.
12
Let b(u) = -9*u + 119. Let t be b(13). What is the common denominator of -4 - (35/8 - 6/t) and 11/3?
24
Calculate the common denominator of 107/945 and (-184)/9 - 754/(-58).
945
Let l = -119476/83 - -1210760239/841122. What is the common denominator of -107/6 and l?
10134
Suppose -r = -0*f + 4*f + 795, 2*r = -5*f - 996. Find the common denominator of 5/8 and ((-88)/f - (-3826)/1476)/(-3).
328
Let f be 591/9*1 - (-14 + 15). Let o = -3407/48 + f. What is the common denominator of o and -53/16?
16
Let z be 0 - 4/4 - (-446)/2. Suppose 8*m = 14*m - z. Let o = -15 + m. Calculate the smallest common multiple of o and 12.
132
Find the common denominator of -5 + 12 - ((-17566)/(-690))/(54/15) and -7/1035.
6210
Suppose 4*l - 4 = 3*h, 4*l + 0*l + 5*h = 36. Suppose -12*k - 39 + 15 = 0. What is the lowest common multiple of 16 and (k/l)/(7/(-364))?
208
Suppose 5*r - 360 = b + b, -2*r + 144 = 5*b. Suppose -22*a + 15*a = -63. Let z(g) = -g**2 + 12*g - 18. What is the least common multiple of z(a) and r?
72
Let y = -664105/63 - -10541. Calculate the common denominator of y and 107/504.
504
What is the common denominator of 405/7695*214/(-28) and -31/384?
51072
Let s(g) = -20*g - 768 + 768. Let u = -82 - -120. Calculate the lowest common multiple of u and s(-1).
380
Let q = 94855861/3060 + -92996/3. What is the common denominator of -181/2142 and q?
21420
Find the common denominator of (2 + (-22)/12)*(-14)/(-4753)*203 and -52/123.
11931
Let y = -3370 - -3395. Calculate the least common multiple of 55 and y.
275
Suppose 262 = 4*p - 130. Let c = -94 + p. Calculate the lowest common multiple of 23 and c.
92
Let i be 128/80*35*6. Let w = i + -331. Let n(d) = -d**2 + 8*d + 11. Calculate the lowest common multiple of n(8) and w.
55
Suppose 38 = 18*p - 16*p. Suppose p + 9 = -l. What is the lowest common multiple of (48/l)/((-5)/35) and 7?
84
Let t(k) = k**3 + 8*k**2 + k + 6. Let y be t(-8). Let v(j) = 5*j + 6. Let s be v(y). What is the least common multiple of ((-1)/2)/(4 + 17/s) and 3?
6
Let d be -21 + 0 + -1*2. Suppose -9*h + 426 - 129 = 0. Let g = h + d. What is the least common multiple of 8 and g?
40
Let j = -648629/28 + 23168. Find the common denominator of (-16)/(-14) + (-28116)/(-6048) and j.
168
Let c be 90/(-4 + 9) - -1. Let p(a) = 3*a + 8. Calculate the lowest common multiple of p(c) and 5.
65
Let d = -21235/16 + 1326. Calculate the common denominator of d and -17/3302.
26416
Let j = -25848 - -25856. Calculate the lowest common multiple of 408 and j.
408
Suppose 0 = 15*o - 4344 + 3849. What is the least common multiple of 336 and o?
3696
Let n be (2 + 96/(-20))*-20. Suppose -8*x + 8 = -n. Suppose -x*z = z - 18. Calculate the lowest common multiple of 23 and z.
46
Let r = 522491874/1075 - 486039. What is the common denominator of 29/25 and r?
1075
Calculate the lowest common multiple of (-26)/(-2) + ((-8)/(-6))/(336/1260) and 3776.
33984
Find the common denominator of (10/6)/(2944/(-6))*(-22)/(-11) and -103/1472.
1472
Let t = 121466348836711891 - 6694010482276270352329/55110. Let o = t + -422139846/11. Let z = o - 6/835. What is the common denominator of z and -107/18?
18
Let l = 36 + -24. Calculate the least common multiple of l and (-62946)/(-342) - 8/(-152)*-1.
552
Suppose 147 = -54*d - 66 - 1353. Find the common denominator of 8/3385 and d.
3385
Let s be (-261)/(-81) - (-2)/(-9). Suppose -5*c + 12 = -s*c - v, c - 3*v - 16 = 0. Let x = 329 + -317. Calculate the least common multiple of x and c.
12
Suppose 0 = -8*s - 15*s + 5750. Suppose 0 = s*z - 243*z - 994. What is the smallest common multiple of z and 16?
1136
Let d(z) = z**3 - 14*z**2 + 4*z. Let g(p) = 27*p + 346. Calculate the smallest common multiple of g(-12) and d(14).
616
Let z(q) = q**2 + 3*q - 70. Let b be z(14). Let h = 174 - b. Calculate the least common multiple of 7 and h.
42
Let b(h) = -8*h - 5. Suppose 39 = 6*u + 87. What is the least common multiple of b(u) and 5?
295
Let c = 3 - 32. Find the common denominator of 206/12 - (-1 + 0) and (c/(-16) - 2)/((-9)/201).
48
Let g be (-54)/(-189) + (-2764)/14280. Let i = g - -14/51. Find the common denominator of 113/66 and i.
330
Let g = -6/601 + -53345/14424. Let b = -5745/71 + 147181/1704. Calculate the common denominator of g and b.
24
Let m = -49695 - -447298/9. Let g = -6/823 + 4