What is the common denominator of q/21 - (2 + 0) and (-2 - -1)*(-166)/(-4)?
14
Let p = -2/525 + -5038/525. Suppose 0 = -5*b + 13 - 3. Calculate the common denominator of b/3*2184/32 and p.
10
Let c be (22/(-10) + 3)/(2/210). Find the common denominator of -4 + ((-2)/14 - (-1419)/c) and 28/3.
12
Let d = 70699/12 + -5896. Let o(q) = -57*q**2 - 9*q + 2. Let g be o(9). Let c = -37507/8 - g. What is the common denominator of d and c?
24
Let c = 104395 + -2506499/24. Let p = c - -160/3. Calculate the common denominator of 9/14 and p.
56
Suppose -3*d = -t - t + 470, 2*d - 5*t + 295 = 0. Let c = 283/19 + -1181/152. What is the common denominator of c and (-4)/(-15)*d/12?
72
Let f = 4/15 + -37/15. Let b(l) = l**2 - 13*l + 16. Let p be b(12). Suppose p*k = -12 - 140. Calculate the common denominator of f and k.
5
Let o = -2585 - -25939/10. Calculate the common denominator of o and -83/34.
170
Suppose 0 = -10*m + 5*m. Suppose m = -4*k - 3*r + 77, 83 + 16 = 5*k + r. Calculate the smallest common multiple of 30 and k.
60
Let o(k) = -k**2 - 49*k - 469. Calculate the least common multiple of o(-35) and 51.
357
Let x be (3427/125)/((-39)/(-455)). Let t = x - 3191/10. What is the common denominator of -41/14 and t?
1050
Let o(j) = 11*j - 279. What is the smallest common multiple of o(29) and 28?
280
What is the common denominator of ((-872)/(-48))/(-3 + 11) and -19/66?
528
Let a be (12/8)/(3/8). Suppose 30 = -g + a*g. Calculate the lowest common multiple of g and 2 - (-6)/(6/5).
70
Suppose 2*o - 66 = -2*j, -3*j + 0*o + 103 = o. Let i = 73 - j. Suppose -3*k + 10 = -i. Calculate the lowest common multiple of 10 and k.
80
Let a(q) = -12*q - 45. Calculate the least common multiple of a(-4) and 242.
726
Suppose -99008 = 3*w - 0*v + v, -99004 = 3*w + 5*v. Let r = -758855/23 - w. Let p = 3359/230 - r. What is the common denominator of p and 127/12?
60
Let a(k) = -k**3 - 12*k**2 + 2*k + 28. Let u be a(-12). Find the common denominator of ((-14)/35)/(u/(-114)) - 2 and -77/2.
10
Let x = 1/3853 + 258143/30824. What is the common denominator of (-117)/(-30)*30/(-14) and x?
56
Suppose 0 = 3*r + r - 96. Let k(a) = -a**3 - 10*a**2 - 19*a - 6. What is the least common multiple of k(-8) and r?
72
Let o = 16974/11 - 1542. Calculate the common denominator of 47/22 and o.
22
Suppose 3*s - 47 = 2*s. Let t = s - 27. Suppose k - 12 = -2*n, -4*k + n + 24 = -3*n. What is the smallest common multiple of t and k?
40
Suppose 0 = 4*n - 3*n - 7. Calculate the lowest common multiple of n and (5/(-35)*-4)/(5/35).
28
Suppose 2*x - 5*f + 14 = 37, 4*x = 2*f + 6. Find the common denominator of 93/68 and x*339/18 + 4/(-3).
204
Let k = 9 - 3. Let v be (2 - -2 - 3) + -1. Suppose v = t - 6 - 2. Calculate the least common multiple of t and k.
24
Let d = -476 + 922. What is the least common multiple of 16 and d?
3568
Let h = 365/14 + -231733/8890. Let q = h - -7109/635. What is the common denominator of (-86)/48 - 6/(-9) and q?
40
Suppose -6*t - 6 = -2*m - 3*t, 5*m - 5*t = 5. What is the least common multiple of m*7/147 - (-128)/14 and 10?
90
Let m be 26/7 + (-38)/(-133). Let t = m - 9. What is the common denominator of -8/5 and -8 - -6 - 13/t?
5
Let q = 204 - 180. Let z(n) = n - 1. Let w(i) = -4*i - 3. Let y(r) = -w(r) - 5*z(r). What is the least common multiple of y(0) and q?
24
Let y = -18 + 20. Suppose o - 2*q + 2 = 0, 2 + y = 3*o - 4*q. What is the smallest common multiple of 2 and o?
8
Let j = 349/164 + -1/328. What is the common denominator of 115/24 and j?
24
What is the common denominator of 41/280 and ((-341)/1210)/(8/(-20))?
3080
Let z(l) = 8*l - 116. Calculate the least common multiple of 18 and z(16).
36
Suppose -4*j + 0 = 4*v + 4, -5*v = -2*j - 23. Suppose -h - 5*a - 14 = 0, 0*h - 4*h + 12 = v*a. Calculate the lowest common multiple of 10 and h.
30
Suppose 7*f + 7 = 42. Suppose 3*b - f = 1. Calculate the common denominator of 2 + (-58)/3 + b and -71/2.
6
Let f = -10752/17 - -1417649/2244. Calculate the common denominator of f and 25/8.
264
Suppose -70 = -4*z + 2*l, 6*z + 3*l - 71 = z. Suppose 50 + z = 3*g. Calculate the lowest common multiple of g and 26.
286
Let u = -10820 - -33368/3. Let p = 294 - u. Find the common denominator of 17/9 and p.
9
Let d = -74159/21 + 3534. Calculate the common denominator of 3/49 and d.
147
Let s(y) = y**3 - 4*y**2 + 3. Let f be s(4). Suppose -a = f*a - 68. Suppose -15*t = -a*t + 16. Calculate the least common multiple of 11 and t.
88
Let q(t) = t**3 + 7*t**2 + 3*t - 6. Let m be q(-6). Suppose -12 - m = -2*f. Calculate the least common multiple of f and 21.
84
Let p be (232/(-9) - (-2)/(-9)) + -3. Let g = 36 + p. Suppose 4*b + 5*m - 51 = 0, 0 = -3*b - 4*m + 33 + 6. What is the least common multiple of g and b?
63
Let h(z) = z**3 + 5*z**2 - z + 4. Let j be h(-4). Suppose 0 = 5*t - 9*t + j. Suppose 12 + 6 = g. What is the lowest common multiple of g and t?
18
Let w = 4 + 6. Suppose -2*m = 13*m - 165. What is the lowest common multiple of w and m?
110
Let u(y) = -3*y**2 - 57*y + 20. Let w(h) = 3*h - h**2 - 12*h + h - 4*h - 7. Calculate the lowest common multiple of w(-5) and u(-19).
140
What is the common denominator of (91/35)/(-1 + (-66)/(-90)) and 18/7?
28
Let x(t) = 4*t - 55. Let q(m) = -3*m + 37. Let n(v) = -8*q(v) - 5*x(v). What is the smallest common multiple of 2 and n(7)?
14
Suppose 0 = q + 4*o - 32, -2*o = q - 6*q + 72. Let p be ((-42)/49)/(1/(-294)). What is the least common multiple of q and p/12 - (-1 - -2)?
80
Let v(w) = w + 3. Calculate the smallest common multiple of 175 and v(47).
350
Let l(r) = 4*r**2 - 2*r - 2. Let c(y) = -7*y**2 + 3*y + 3. Let q(x) = -3*c(x) - 5*l(x). What is the least common multiple of 3 and q(3)?
39
Suppose 5*s - 105 = 3*i, 356*s = 361*s - i - 105. Let o(a) = 3*a - 3. What is the smallest common multiple of o(5) and s?
84
Suppose -8*u = -3*u - 15. Suppose 0 = -u*f + 2*w + 121, 160 = 4*f - w - 2*w. What is the lowest common multiple of 1 and f?
43
Suppose -53 = -y - 5. Suppose -2*q + 36 = 4*q. Suppose -4*c - 4*h + 0*h + y = 0, q = c + 4*h. Calculate the least common multiple of 18 and c.
126
Suppose 15 = 3*x - 12. Let k(u) = -4*u - 15. What is the least common multiple of k(-6) and x?
9
Suppose 0 = u - 2*v - v - 11, v + 3 = 0. What is the smallest common multiple of 10 and u?
10
Let n = 2493 - 3519. Find the common denominator of (2/12)/(78/n) and -29.
26
Suppose -7 - 3 = -2*c. Suppose 0 = -5*z - 20, 2*r - 4*z + c - 13 = 0. Let n(o) = -o. What is the lowest common multiple of 20 and n(r)?
20
Let f = 201 - 190. Calculate the lowest common multiple of 4 and f.
44
What is the common denominator of 169/30 and (-229)/(-30) - (-73 + 79)?
30
Let n(k) = k**2 - 9*k + 4. Let j be n(9). Let s(o) = -o**3 + 5*o**2 + 4*o - 10. What is the smallest common multiple of 22 and s(j)?
22
What is the common denominator of (6 - -4)*(-9)/228 and 27/58?
1102
Suppose 74 = 13*b - 69. What is the smallest common multiple of 49 and b?
539
Let a(x) = x**2 - 4*x - 5. Let p be a(5). Suppose -t + 5*j - 2*j + 587 = p, 0 = 3*j - 9. What is the common denominator of -37/7 and (2 - t/48)*2?
42
Let k = -18585 - -390368/21. Calculate the common denominator of (-93)/90 - (-2)/(-10) and k.
210
Let z be (-2)/(-3) + (-8)/(-6). Suppose 3*t - 5 = -z. Calculate the common denominator of (18283/470 - 6*(-1)/10) + 4 and t.
2
Suppose 3*d + b = 197 + 46, -3*d - 4*b + 252 = 0. Suppose 0*k = k + 4*o - 19, k = 4*o - 5. Calculate the lowest common multiple of d and k.
560
Suppose -5*y = -w + 8, 3*w - 6 = y + 4. Suppose w*i + 5*p = 30, -i + p = 4*i - 22. Suppose 4 = -19*k + 118. What is the least common multiple of i and k?
30
Suppose i = 247 - 225. Let y(f) = f**2 + 4*f - 2. What is the lowest common multiple of i and y(-6)?
110
Let n be 22/4 + 5/(-10)*-1. Suppose 4*l - 3*u = 16, -3*u - 7 = n*l - l. What is the smallest common multiple of l and 1?
1
Let y = 20 + -9. Suppose 0*o = 5*o. Let w = y + o. Calculate the smallest common multiple of 6 and w.
66
Let m(w) = 3*w**3 + w**2 - w + 1. Let n be m(1). Calculate the lowest common multiple of 12 and 3/2 + 58/n.
48
Let f = -17057/6 - -2822. Find the common denominator of f and (-2907)/272 + 12 + 1 + -7.
48
Let s = 1328 + -1271. Calculate the smallest common multiple of s and 7.
399
Let m = 0 - -2. Suppose 3*j = -0*j - 2*