.
108
What is the common denominator of -149/84 and (-25)/300 + (-123)/(-140)?
420
Let k(u) = 32*u - 6. Let o be k(-15). What is the least common multiple of ((-15)/(-9))/((-3)/o) and 20?
540
Let k(o) = -2*o**2 + 13*o + 12. Let g be k(7). Find the common denominator of 137/6 and 697/30 - (-3 - (-17)/g).
6
Suppose -3*w + 13 = 25. What is the common denominator of (324/24)/(14/w) and 64/9?
63
Suppose 0*u - 5*u + 850 = 5*h, h = 3*u - 490. Calculate the lowest common multiple of 45 and u.
495
Suppose -4301 + 33385 = -11*n. Let u = -58111/22 - n. Find the common denominator of -89/64 and u.
704
Suppose -4*g + 125 + 15 = 0. Suppose 2*i - g = -1. Calculate the smallest common multiple of i and 3.
51
Let i be (3 - 0)/(3/4). What is the common denominator of 109/24 and 214/(-4)*i/(-36)?
72
Let p(m) = m**2 + 6*m - 10. Let h be p(10). Let d = h - 148. Calculate the least common multiple of 1 and d.
2
Suppose 5*n + 216 = -n. Let s = n + 42. What is the smallest common multiple of 22 and s?
66
Let n = 71 + -50. Let w be n/35 + (-1042)/(-180). Let a = w - -1/90. Find the common denominator of a and -10/3.
15
Let c = -3 - -6. Suppose -o + 20 = -h + 5, 4*o + c*h = 95. What is the common denominator of (156/(-70))/((-6)/o) and 131/6?
42
Suppose -5*s + 4*z + 9 = -374, 3*s - 227 = z. Suppose f - 17 - s = -4*k, 2*f = 3*k - 58. What is the smallest common multiple of k and 52?
572
Suppose -2*h - h = -15. Let o(m) = m**2 + 10*m - 2. Let k be o(-11). Suppose -k = -p - 0*p. What is the smallest common multiple of p and h?
45
Let t = 246 - 226. What is the least common multiple of 20 and t?
20
Let a be 1332/16 + 2/(-8). Let d = -79 + a. Calculate the least common multiple of 10 and d.
20
Let h = -151 + 187. Calculate the lowest common multiple of 36 and h.
36
Let n(z) = -z**2 + 4*z - 7. Let j be n(-4). Let u be j/(-7) + 3/7. Calculate the common denominator of (-51)/12 - (9 - u) and -35/16.
16
Let k be 20/40 + (-149734)/14376. Let u = 2/1797 - k. Find the common denominator of u and -133/102.
204
Let w be 22/6 + 2/6. Suppose 2*q + 4*d - w = -56, 3*d = q + 6. Let t = 32 + q. Calculate the least common multiple of t and 6.
42
Suppose 4*l = -f + 65, -2*f - 2*l = -f - 67. Let r = 71 - f. Calculate the smallest common multiple of r and 1 + (-2 - -2 - 0).
2
Suppose -3*h - 54 = 3*f - 63, -2*h + 6 = 3*f. What is the smallest common multiple of (-1)/((1*2)/(-2)) and h?
3
Let k be (20/(-6))/(2/21). Let r = k + 16. Let v = r - -31. What is the least common multiple of 20 and v?
60
Suppose -3*s - 5*b + 53 = -0*b, b - 48 = -4*s. Suppose -4498 = -658*m + 632*m. What is the lowest common multiple of s and m?
1903
Suppose -y - 4*d = 3*y - 44, -2*y = 3*d - 25. Suppose 0 = -6*f + y + 16. Calculate the smallest common multiple of f and 57.
228
Suppose -2*g - 11 + 33 = 3*b, 5*b - 32 = -g. Let k = b - 26. Calculate the least common multiple of 18 and k/(-8)*(4 + 0).
90
Let z be (-1 + 33/(-27))*(-70)/(-224). Let c = -3/71084 + -3509759/319878. Let l = c + z. Calculate the common denominator of l and -65/4.
12
Let c = 626 + -624. Let u be (-1 + -2)/(1/(-1)). Suppose d + u*o - 4*o = 2, 0 = -c*d - 5*o + 4. Calculate the least common multiple of 10 and d.
10
Let i = 22398083/68548 + -6/17137. Let t = 226002/11 + -1836605/88. Let g = t + i. Calculate the common denominator of 73/6 and g.
24
Let g(c) = -c**2 + 22*c - 44. Suppose -2*w = 2*w + m - 15, 2*w = -2*m. What is the lowest common multiple of g(19) and w?
65
Let c(o) = -o**2 + 7*o - 8. Let i be c(4). Suppose -2*g + 49 = -g + i*p, p + 161 = 5*g. Calculate the lowest common multiple of g and 5.
165
Suppose g = 2*g + 7. Let v(y) = y**3 + 7*y**2 - y - 6. Suppose 4*i = 6 + 26. Calculate the lowest common multiple of v(g) and i.
8
Calculate the common denominator of (-5 - -3) + (-488)/(-332) and (165/(-8))/3 - 52/52.
664
Suppose 4*x = 64 + 56. What is the common denominator of 19/11 and (-5)/x + 653/(-150) + 2?
275
Let w be (3 + 0)*140/(-12). Find the common denominator of (-6)/4 + w/(-8) and -17/5.
40
Let m = 373/2208 - -25/69. Find the common denominator of m and (-35)/(-36) + 4/(-2).
288
Let n = 8406 + -395058/47. What is the common denominator of -99/4 and n?
188
Let k = -126 + 228. Suppose -k = 3*l - 426. Calculate the common denominator of 11/16 and 2/(-6)*2718/l.
144
Let j(c) = -2*c**2 - c + 4. Let g be j(2). What is the common denominator of 66/(39/g + -1) and 13/4?
20
Let x be 2*(3 - 4) + 69. Let i = -62 + x. What is the lowest common multiple of (-34)/(-3) - 2/6 and i?
55
Suppose -2*i - v - 9 + 30 = 0, -4*i - 3*v + 47 = 0. What is the smallest common multiple of ((-20)/7)/(i - (-174)/(-21)) and 22?
110
Let s = -697741/104 + 6709. Let f = 971/728 + s. Calculate the common denominator of f and -37/9.
63
Suppose 19*u - 20 = 14*u. Suppose -u*f = -5*f. Suppose 6*r - 5*r - 11 = f. What is the smallest common multiple of r and 12?
132
Let o(a) = -a**3 - 7*a**2 - 9*a - 8. Let f be o(-6). Suppose -5*r = -20 - f. What is the lowest common multiple of (-84)/(-24)*(-4)/(-4)*2 and r?
42
Suppose 0 = 45*j - 42*j - 594. What is the lowest common multiple of 14 and j?
1386
What is the common denominator of 49/40 and 5 + -7 - (-33)/9*5?
120
Calculate the lowest common multiple of 110 and (6/7)/(18/7392).
1760
Find the common denominator of 12*(-6)/(-8)*(-26)/(-210) and 14/15.
105
Let s = -377639849 + 14525539156577/38464. Let z = s - -12/601. What is the common denominator of 19/12 and z?
192
Find the common denominator of -1*12 + (-52596)/(-4500) and -53/50.
250
Let m(o) = o**3 + 6*o**2 + 5*o - 2. Calculate the lowest common multiple of 20 and m(-4).
20
Let i(l) = -3 + 0 - 4*l + 3. Let h be i(4). What is the common denominator of (-158)/(-7)*(-4)/h and -133/18?
126
Let p(u) = u**3 - 11*u**2 + 9*u + 8. Let m be p(10). Let h be (55/10 - m)*-6. What is the common denominator of (123/h)/((-6)/(-9)) and -103/12?
60
Suppose 2*a - 3*y + 22 = 2*y, a - 15 = -4*y. Let k be (-6)/4 - 4/((-16)/42). Let c = a + k. What is the smallest common multiple of c and 8?
8
Let a(k) = -k**3 + 3*k**2 + 13*k + 1. Let h be a(5). Let l = h + -11. Calculate the lowest common multiple of l and 11.
55
Let u be (-1 + 2 - 1) + 3. Suppose 4*o + 14 = c, -u*c + 37 = -3*o - 23. What is the lowest common multiple of 1*6*(-8)/(-4) and c?
132
Let p be 17326/9232 + (-3 - -5). Let k = p - 1/577. What is the common denominator of k and 45/11?
88
Suppose -543 = -9*h - 327. Calculate the lowest common multiple of h and 14.
168
Suppose -d + 5*b - 1 = 0, d + 97 = 4*d + 5*b. Suppose -2*x - 5*l = -15, 11 = x - l - 0*l. Calculate the lowest common multiple of x and d/(-14)*70/(-15).
40
Let r(k) = -3*k**2 + 7 + 4*k**2 - 8*k + 0. What is the smallest common multiple of 6 and r(8)?
42
Let w(q) = -8*q - 3 - 4 + 3*q. Suppose -t = -10 + 2. What is the least common multiple of t and w(-9)?
152
Suppose 3*f = 0, 2*f + 6 = 4*s - s. What is the lowest common multiple of s and 2*(1 + 30/4)?
34
Let o(w) = 2*w - 17. Let c be o(14). What is the smallest common multiple of 51/7 - 18/63 and (-4)/22 + 112/c?
70
Let m = 38099/6 - 6326. What is the common denominator of 61/10 and m?
30
Let d = 226 - 111. Suppose -107 = -4*i + 5*y, 2*y - d = -4*i - y. Calculate the least common multiple of 5 and i.
140
Let a be (-337882)/99 - (96/54)/(-8). Let c = a - -3416. Find the common denominator of -16 and c.
11
Suppose 3*o + 2*a - 106 = -o, 4*a = 5*o - 100. Suppose -5*m + 58 = 3*d - 53, -2*m = 4*d - 36. What is the smallest common multiple of o and m?
24
Let a be (-1)/(15/(-6)) + 752/20. Suppose a = w + 37. Calculate the least common multiple of 21 and w.
21
Let v = 25435/3 + -18225/2. Let s = v - -627. Find the common denominator of s and ((2/5)/1)/(44/99).
30
Suppose 2*k - 40 = -4*s, -15*k - s = -20*k + 67. Let f = -33 + 67. Let q = f - k. What is the least common multiple of 22 and q?
220
Let v = 2 + -9. Let n(m) = -m + 4. Let b be n(v). Let k = 17 - b. Calculate the lowest common multiple of 20 and k.
60
Let x be -28*(-4)/(-24)*(-3)/2. Suppose 2 = 3*f - 10. Suppose -f*n = -3*t - 135, x*n + 90 = -2*t + 3*n. Calculate the common denominator of t and -48/7.
7
Let g(f) = -2*f - 10. What is the least common multiple of 5 and g(-9)?
40
Let m(c) = 6*c**2 + 2*c - 6. Suppose -28 = 3*g - 3*d - 2*d, 5*g = -5*d + 20. Calculate the sm