 - 13 = -4*x - 3*m. What is the common denominator of x/(-2) + 127/(-12) and -53/16?
48
Suppose 17*w - 1056 = w. Let l = -2 - -10. Calculate the lowest common multiple of w and l.
264
Suppose 2*y - 1 = 4*r - 5, 0 = 3*y + 2*r - 10. Let w(s) = -1 + 2 + y - 2 - s. What is the least common multiple of w(-10) and 4?
44
What is the common denominator of (-2 - (-7)/(-24))*(-1092)/(-4410) and -83/21?
252
Let c be -182 - ((3 - 0) + -3). Let z = c + 128. Calculate the least common multiple of 8 and (z/(-30))/(3/10).
24
What is the common denominator of (-138)/(-8) + 6/(-1) and 46/(-88) + 1/(-4)?
44
Let a = -32771/13410 - 1/1490. Find the common denominator of 25/9 and a.
9
Let z = 46325/12 - 3863. Calculate the common denominator of (148/32 + 3)*-2 and z.
12
Let h = -1658837 - -14911564/9. Let v = h - -2000. Find the common denominator of v and 27/2.
18
Let q(m) = -m**2 - 9*m + 2. Let h be q(-6). Let t = 30 - h. What is the lowest common multiple of t and (-2)/2*16/(-4)?
20
Calculate the least common multiple of 99 and (-16)/2 + (-2 - -32).
198
Suppose z = -4*y + 31, -3*z - 5*y + 64 = 6. Calculate the least common multiple of (-1 + 3)*6/4 and z.
33
Let z(f) = 4*f - 2. Suppose 0 = -2*u - 2*k - 4, -2*u - k = -4*u + 5. Calculate the least common multiple of 8 and z(u).
8
Suppose -274 - 454 = -4*s. Suppose -s - 173 = -5*g - 3*n, 0 = 5*g - 5*n - 315. What is the least common multiple of g and 18?
612
Let b = -8 - -5. Let d = 22 - 10. What is the lowest common multiple of d and -4*(b + 1)*2?
48
Let d = -1691/27030 - 12/265. What is the common denominator of 23/187 and d?
1122
Let c = 69121/99330 - -7/1290. Calculate the common denominator of c and -81/56.
616
Let f = -3/1385 - 62313/5540. Find the common denominator of f and 169/84.
84
Let c be 2*70292/1664 - -1. Let q = -1065/13 + c. Calculate the common denominator of q and -67/10.
80
Let u = -454 + 471. Calculate the least common multiple of u and 170.
170
Let f = -578 + 928. What is the lowest common multiple of f/28 - (-2)/(-4) and 4?
12
Let r = -2143 + 2161. Calculate the least common multiple of 858 and r.
2574
Suppose -3*m = -6*m. Suppose -2*p - 4*b = 2*p + 20, p - 5*b + 5 = m. Let a = 13 - p. Calculate the smallest common multiple of a and 14.
126
Let k be (1 - 52/12)/(2/63). Find the common denominator of 115/6 and 2/(16/k) + 1.
24
Let w = -808 - -1661/2. Calculate the common denominator of w and 25/314.
314
Find the common denominator of (-1)/(-5) + 1158/(-90) and (-2)/(-8) - 2/48.
24
Let q = 285938/143 - 24562/13. Let z = 1181/11 - q. What is the common denominator of z and 91/8?
88
Suppose 0 = t + 3*r - 3, -t - 2*r + 2 = -2. What is the least common multiple of t and 468?
468
What is the common denominator of 107/90 and 1052/(-800) + (-3)/(-24)?
900
Suppose -6*r - 14 = 5*f - 4*r, 0 = 5*f - 2*r + 26. Let y be 4/4 - (1 + f). Calculate the least common multiple of 1 and 4/(-8)*(2 - y).
1
Suppose 53*k - 56*k = -54. What is the smallest common multiple of k and (84/(-10))/(3/(-15))?
126
Suppose 10 = 5*d, -3*d = -3*k - 2*k + 9. Calculate the common denominator of 348/(-16) - 1/2 and (-1)/k - (-302)/60.
20
Let k be 2 + -1 - -2 - 6. Let p be k/2246*(-2)/4. Let x = 253783/22460 + p. What is the common denominator of x and -87/14?
70
Let j = -6 + -2. Let x be 3/((-12)/j) - 97. Let s = -689/7 - x. Find the common denominator of 63/2 and s.
14
What is the common denominator of 95/4 and 20/14*3969/(-113481)?
5604
Suppose -2*p - 39*o + 38*o = -33, -3*o = 5*p - 80. Calculate the smallest common multiple of 19 and p.
19
Suppose 15*k + 224 = 1574. What is the lowest common multiple of k and 10?
90
Suppose 36*n = 37*n - 1354. Suppose -b = -4*y - n, -510 = -5*b - 5*y + 6160. Let q = b + -5273/4. Find the common denominator of q and -5/16.
16
Let k = -1988/87 - -117/58. Calculate the common denominator of k and 127/96.
96
Let j = -95935 - -8633987/90. Find the common denominator of -58/225 and j.
450
Let z(l) = 2*l**2 + 2*l. Let h(q) = -13*q - 87. What is the lowest common multiple of h(-7) and z(2)?
12
Let o = -410 - -834. Calculate the common denominator of 13/5 and ((-21)/(-28))/(114/o).
95
What is the common denominator of 1141/(-210) - 33/(-55) and -73/2188?
6564
Let m = 53/6 - 112/3. Let f = m + 28. What is the common denominator of f and (-52)/10 - 10*(-6)/(-120)?
10
Find the common denominator of -58/9 and ((-4475)/(-594))/25 + (-4)/18.
594
Calculate the smallest common multiple of 182 and (-104)/(11/(770/(-28))).
1820
Suppose -5*m - 3*g = -556 - 312, 0 = -2*m - 5*g + 332. What is the smallest common multiple of 44 and m?
176
Let w = -24 - -25. Let p(m) = 8*m - 2. Calculate the smallest common multiple of 12 and p(w).
12
Let b be (-8)/6*3/(-2). Let r be 9/(1 - (-1)/b). Suppose -r + 0 = -5*h + 4*a, 3*h - 1 = 5*a. Calculate the least common multiple of h and 2.
2
Let b(y) = y**2 - 5*y - 8. Let x be b(7). Let m(z) = x - 3*z - 22 + 7. Calculate the least common multiple of m(-5) and 22.
66
Suppose -3*g + 25 - 4 = 0. Let f = g + 3. What is the least common multiple of f and 4?
20
Suppose 5*d + 117 = 5*o - 58, 5*o = -d + 169. Calculate the least common multiple of 26 and o.
442
Let a be ((-2)/4)/(11*(-1)/29). Let s = -841/33 + a. Find the common denominator of -121/30 and s.
30
Find the common denominator of (-357)/(-144) + 2/6 and (146/(-20))/(1 - (1 - -2)).
80
What is the smallest common multiple of (4 + -1 - 18)*-1 and 184/12 + 2/(-6)?
15
Let c = 83270429/135 - 616813. Let p = 76/15 - c. Calculate the common denominator of p and 149/12.
108
Let y(i) = -i**2 + 8*i - 1. Let f = 7 + -9. Let g = f + 7. Calculate the lowest common multiple of y(g) and 14.
14
Let y = -8662 + 545791/63. Calculate the common denominator of -37/84 and y.
252
Calculate the smallest common multiple of -1*(-37 - -1)*(-36)/(-54) and 52.
312
Let h = 67 + -47. Suppose -101 + 5 = 4*k. What is the lowest common multiple of 2 + (-1)/(3/k) and h?
20
Suppose h + 6 = -47. Let g = 79 + h. Let z = g + -18. Calculate the lowest common multiple of z and 16.
16
Let l(c) = 32*c**2 - 5*c + 4. Let o(h) = 64*h**2 - 10*h + 8. Let a(d) = -11*l(d) + 6*o(d). Calculate the lowest common multiple of 7 and a(1).
217
Let v = -76 - -84. Suppose v = 2*j + 3*z, -2*z + 16 = 4*j - z. What is the smallest common multiple of 25 and j?
100
Suppose -3*y + 24 = 3*y. Suppose 2 = -2*t - 4*n, -2*n = t + y*t - 35. What is the least common multiple of 8 and t?
72
Let g = 1499 - 1291. Calculate the least common multiple of g and 208.
208
Let s = 650 + -440. What is the least common multiple of s and 90?
630
Calculate the common denominator of -59/14 and 321/749*(76/6 + 1).
14
Let l = 5537495/144 - 38455. Calculate the common denominator of -67/33 and l.
1584
Let d = 95483/27 - 3537. Find the common denominator of -59/6 and d.
54
Calculate the common denominator of (-10)/6 + 79526/46818 and 113/18.
2754
Suppose 6*c = c + 70. Let p be (-2*3/3)/(9/(-117)). Suppose p = 9*h + 8. Calculate the lowest common multiple of c and h.
14
Let l(m) = m**2 - 3*m - 6. Let f be l(5). Let v be 8/f - 1*-142. Calculate the lowest common multiple of (v/40)/((-2)/(-10)) and 8.
72
Let w(q) = -q**2 + 10*q + 5. Let l be w(10). Suppose 5*t - l*i + 40 = 0, 0 = -4*i + 3 + 17. What is the lowest common multiple of ((-9)/t + -2)*5 and 1?
5
Let s = -1268 - -1304. Suppose -4*j = -18 - 2. Calculate the smallest common multiple of j and s.
180
Let p(h) = 5*h - 9. Let k be p(-8). Let u = -27 - k. What is the smallest common multiple of u and 18?
198
What is the lowest common multiple of 45/225 + 158/10 and 96?
96
Let x be (1040/28)/((-99)/(-28)). Let s = 151/11 - x. What is the common denominator of 40/21 and s?
63
Let t = -40/511 + -22657/17374. What is the common denominator of -151/66 and t?
1122
Let g(b) = 7*b + 1. Let a(d) = -d**2 + 7. Let s be a(-3). Calculate the lowest common multiple of s*(0 - (0 + 4)) and g(3).
88
Suppose -v = -3*t + 32 + 12, v = 5*t - 72. Let q = 34 + t. Suppose -2*c - 5*o = -q, -32 = -4*c + 2*c - o. What is the smallest common multiple of c and 10?
70
Let b(o) be the third derivative of o**4/24 + 11*o**3/6 - 2*o**2. Calculate the lowest common multiple of ((-24)/(-28))/(12/280) and b(-5).
60
Let u(m) = -m**3 - 9*m**2 + 17*m - 5. Let l(w) = -w**2 - 7*w. Calculate the least common mul