13*j + 75. Calculate the lowest common multiple of l(17) and 8.
56
Let i = -44113/16 - -2754. What is the common denominator of i and 91/380?
1520
Calculate the common denominator of 133/6 and (81/12)/(138/(-4)).
138
Calculate the common denominator of 2/125 and (33/5 - 1) + (-144)/432.
375
Calculate the least common multiple of 123/3 - 56/7 and 10.
330
Let c(j) = 2*j**2 - 3*j + 11. Let o be c(11). Suppose -2*f = 3*f - o. Find the common denominator of 129/f - (-1)/4 and 12/5.
55
Let f = -20 + -36. Let r = -36 - f. What is the lowest common multiple of 36 and r?
180
Calculate the common denominator of -73/90 and ((-11033)/165)/(-17)*(-2)/12.
90
Let r = 91 - 79. What is the least common multiple of r and 69?
276
Suppose -2*q - 87 = -t, -28*t = -25*t + 4*q - 231. Calculate the lowest common multiple of t and 99.
891
Calculate the common denominator of (-2)/(-9) - -4*5537/(-10080) and -91/12.
120
What is the common denominator of 117/56 and ((-804)/24)/(1 + -50)?
392
Let k(n) = 7*n + 58. Let q be k(-7). Suppose -q - 19 = -7*f. What is the lowest common multiple of 20 and f?
20
Suppose 0 = 8*r + 1201 - 1249. Let p = 23 + 1. Suppose 2*u = -u + p. What is the lowest common multiple of u and r?
24
Suppose 0 = 4*j + 2*r - 158, 41 = 2*j + 5*r - 18. Calculate the lowest common multiple of j and 26/(-91) - 58/(-7).
168
Calculate the common denominator of 5/15*(-43)/(-3) and ((-370)/72 - -3)/1.
36
Let s(r) = 2*r. Suppose 5*j + 0*j = -45. Let a be s(j). Calculate the common denominator of (-142)/(-8)*(-8)/a and 77/4.
36
Let l = -3045/4 - -2249/3. Let o(q) = q**2 + 7*q + 10. Let j be o(-3). What is the common denominator of l and 43/232*j*-2?
348
Let h = -43 - -70. Suppose 0 = 3*f - 6 - h. What is the lowest common multiple of 8 and f?
88
Suppose 3*p = -5*i + 1347, -16 + 15 = p. Calculate the least common multiple of i and 11.
2970
What is the lowest common multiple of 14 and (-144)/504 - ((-321)/21 + -1)?
112
Let o = 348 + -15703/45. Find the common denominator of -13/90 and o.
90
Suppose 4 = 3*z - z. Let q(f) = -24*f**2 - f + 2. Let v be q(z). Calculate the common denominator of (2 + v)*(-2)/12 and 76/9.
9
Let m = -1 + -28. Let k = 37 + m. What is the smallest common multiple of 30 and k?
120
Let n = 89 + -42. Calculate the common denominator of 25/(-30) + (-598)/60 and n.
5
Let p(r) = 39*r - 268. Calculate the smallest common multiple of 77 and p(8).
308
Suppose 0 = -w - 5*m + 49, 7*m + 218 = 5*w + 5*m. What is the least common multiple of 116 and w?
1276
Let x = -102/35 - -22/21. Calculate the common denominator of 34/33 and x.
165
Calculate the lowest common multiple of (-10 - 180/3)*-1 and 7.
70
Suppose 0 = 3*u + 2*s - s - 4, 0 = -s - 5. Suppose t - u*t = -36. Calculate the lowest common multiple of 8 and t.
72
Let i = 19584 + -4053872/207. Let r = i - -22403/2070. Calculate the common denominator of 73/60 and r.
60
Let m = -8 + 4. Find the common denominator of (-14924)/4680 - (-2)/(-18) and 31/11 - (-2)/m.
110
What is the common denominator of (-3458)/117*(-2 + 26/16) and 149/6?
12
Suppose 3*a - 67 = 125. What is the least common multiple of a and 64?
64
Calculate the lowest common multiple of 18 and -4 + 6 - (2/(-1) - 14).
18
Let h(n) = -8*n - 2. Let d(o) = -16*o - 3. Let x(w) = 3*d(w) - 5*h(w). Let m be x(-7). Suppose m + 53 = 5*y. Calculate the least common multiple of 1 and y.
22
Let n = -105 + 24. Calculate the common denominator of -3*(2 + n/42) and 51/10.
70
Let k = -16660 + 1299451/78. Calculate the common denominator of k and ((-93)/(-25))/(48/(-120)).
390
Suppose 0 = 4*j - 0*j - 3*h + 30, -5*j - 2*h = 26. Let n be 20/j*(-3)/2. Let z = 12 - n. What is the lowest common multiple of z and 3?
21
Let s(c) = -c**2 - 13*c - 9. Let k be s(-12). Suppose 4*j - 21 = -k*l + 1, -8 = 4*j. Let r = 3 - -1. What is the smallest common multiple of r and l?
20
Suppose 20 + 10 = 5*r. Let h(c) = 2*c - 1. Let m be h(3). Suppose 0 = m*k - 5 - 65. What is the smallest common multiple of k and r?
42
Let j = -839 - -1748. Calculate the least common multiple of j and 24.
7272
Let o(p) = p + 11. Let h be o(0). Suppose -7*m - 28 = -h*m. What is the smallest common multiple of m and 5?
35
Let g = 23540709/10 - 2351563. Let f = -2511 + g. Let w = 19683/14 - 1399. What is the common denominator of w and f?
70
Let j(l) = 4 - 2*l**3 + l - 3 + 3*l**3. What is the least common multiple of j(0) and (12 + 3)*(-2)/(-5)?
6
Let m(f) = 4*f**2 - 2*f - 2. Let w be m(-2). Let a be 9/w - 18/8. Let q = 31/20 + a. Find the common denominator of q and 61/4.
20
Let y(k) = -k**3 - 29*k**2 + 58*k - 76. Calculate the smallest common multiple of 42 and y(-31).
336
Let j = 12475 + -12469. Let d = -13 - -28. What is the smallest common multiple of j and d?
30
Suppose n - 5*n - 2*d + 2788 = 0, -3*n - 5*d = -2084. Let k = n - 14059/20. Calculate the common denominator of k and 41/8.
40
Suppose -m + 3*m + b = 19, -4*b + 48 = 4*m. Suppose -50 - 62 = -m*o. Calculate the least common multiple of o and (-1)/(2/(-24))*1.
48
Let n(r) = 2*r**2 - 3*r + 7. Let j be 2 - 5/(2 - 7). What is the lowest common multiple of n(j) and (-183)/(-9) - (-1)/(-3)?
80
Let t = -11777 - -259153/22. Find the common denominator of -49/9 and t.
198
Suppose -3*n + 158 = -0*w - w, 0 = 2*n + 4*w - 82. Let i = -107/2 + n. Let q = -8742 + 157285/18. What is the common denominator of q and i?
18
Let j = 52435/2374824 + -1/14936. What is the common denominator of j and -61/318?
318
Suppose -21 = m - 10. Calculate the smallest common multiple of 27 and (m/(55/120))/(-1).
216
Let f = 207 - 137. What is the common denominator of -81/4 and 236/f + (-8)/14?
20
Suppose -2*p = -2, -5*h + p - 12647 = -p. Let n = h + 3613. Let c = n + -4391/4. Calculate the common denominator of 19/18 and c.
36
Suppose -9 = 2*b + 5*x, -3*b - 4*x + 5 = 1. What is the lowest common multiple of 6 - (0/(-1) + 1) and b?
40
Let n = -48 + 46. Calculate the common denominator of -4/11 and 4/16 + n/(32/75).
176
Suppose 16 = 4*y - 2*v - 2*v, 5*y - 12 = v. Let x = -145/2 - -627/10. What is the common denominator of x and (-2)/y + 455/42?
30
Suppose 5*s = -4*c + 66, -2*c - 2*c + 36 = 2*s. Let i be s/(-5) - 5/(-1). Suppose -18 = i*o - 6*o. Calculate the least common multiple of o and 76.
228
Let f = -17202/11 - -34493/22. Let d = -11879/10 - -1186. Calculate the common denominator of f and d.
110
Let y = 58094/513 - 2108/19. What is the common denominator of y and -121/90?
270
Let y = 9520137078007/1976782825656 + -371380/15356277. Let u = 2/16091 - y. Find the common denominator of 229/18 + 2/(-9) and u.
24
Let q be (5/(-5) - -4) + -95. Calculate the smallest common multiple of (-4)/6 - (q/6)/2 and 38.
266
Find the common denominator of (8/(-400))/(15/(-2825)) and 64/27.
270
Let t = 52/5 + 77/20. Let d = -5651 + 67723/12. Find the common denominator of d and t.
12
Let d(l) = l + 2. Suppose -3*a + 0*a + 216 = 0. Suppose 0 = 5*m - 2*c - a, -2*m = 2*m - 2*c - 56. Calculate the lowest common multiple of 10 and d(m).
90
Let t = 10 - 4. Let u = -22 - -17. Let i(w) = -w**2 - 10*w - 17. What is the smallest common multiple of t and i(u)?
24
Let o = 3/179 - 2339/716. Calculate the common denominator of o and -37/3.
12
Suppose -8*k + 219 = -5. Calculate the least common multiple of k and 42.
84
What is the common denominator of 73/99 and (3*(-2)/(-189))/((-2)/3)?
693
Let l = -13/2 - -17/14. What is the common denominator of l and 592/(-144) - (-1)/3?
63
Let x be 4/(-8)*4 + -1 + -123. Let u = 132 + x. What is the lowest common multiple of u and 3?
6
Let y = 550892/19 + -28982. Let j = -1185/38 - y. Calculate the common denominator of j and 2 - (2 + 14/44).
22
Suppose -265 - 97 = -3*a - 4*m, 3*a = m + 367. Calculate the smallest common multiple of a and 14.
854
Suppose -52*z = -55*z + 21. Suppose -z*r + 180 = 3*r. What is the lowest common multiple of r and 34?
306
Suppose 9 = 5*s + 29, 5*s = 4*t - 5516. Calculate the smallest common multiple of t and 16.
10992
Let a = -178155937/385 + 462743. Let l = 2/35 + a. Calculate the common denominator of l and 91/8.
88
Suppose 0 = -s - 9*s + 930. Suppose 0 = -4*b + 12, -4*b + s = 5*q - 3*b. Calculate the smallest common multiple of 10 and q.
90
Let k = -43 - -103. Suppose 5*v - k = -10. Let b = -4 + v. Calculate the least common multi