Suppose -6 = 4*f - 5*q - 5, 2*f - 5 = -3*q. Let c = 1 + f. Calculate the least common multiple of c and 12.
12
Let h = 1394 - 16751/12. Calculate the common denominator of h and 139/78.
156
Let a = -3080775/1911814 + 11/14594. Let n = a + -1/2358. Calculate the common denominator of n and 75/16.
144
Suppose -4*d - 1904 = 596. Let r = -6243/10 - d. Calculate the common denominator of r and 107/14.
70
Suppose r - 1 + 4 = 0, -k - 4*r - 185 = 0. Let z be (-18)/63 - k/(-7). What is the common denominator of -29/2 and (113/15)/(10/z)?
6
Let f = -52 + 48. Calculate the common denominator of 26/8 + f - 2/(-440) and 29/55.
55
Let c = -15041 + 1203323/80. Find the common denominator of c and -129/70.
560
Suppose 0 = -3*p + g - 24344, 3*p - g - 3*g = -24350. Let s = p - -81059/10. What is the common denominator of -97/2 and s?
10
What is the common denominator of 29/31 and (-3 + -4 + -5)*13/(-15)?
155
Let v = -118 + 55. Let d = 379/6 + v. Let c = -14374 - -143621/10. Find the common denominator of c and d.
30
Let j = 1699/2486 + -2/1243. Let b = -32/83 - -3991/664. What is the common denominator of b and j?
88
Let j be 1/(-7)*(-32020)/(-10). Let b = j + 455. Calculate the common denominator of -2/3 and b.
21
Suppose -183 = -7*l - 43. What is the least common multiple of l and 12?
60
Let k = -25343/18 + 1408. Let b = -711 + 7117/10. What is the common denominator of k and b?
90
Let x = -4446557/144 + 30879. Find the common denominator of x and 7/54.
432
Suppose -5*k = 2*k - 63. Let n = 4 + 0. Calculate the lowest common multiple of k and n.
36
Let d = -466 - -469. What is the least common multiple of d and (36/10)/(4/10)?
9
Suppose 0*x = -10*x + 1780. What is the least common multiple of 20 and x?
1780
Let q(a) = a**3 + 6*a**2 - 3*a + 4. Let p = -2 + 2. Let i be (-5 - 2) + p + 1. What is the smallest common multiple of q(i) and 10?
110
Suppose 0 = -4*v + 567 + 9705. Let b = v + -17944/7. Calculate the common denominator of 85/8 and b.
56
What is the smallest common multiple of -4 + 270/63 + 54/7 and 118?
472
Let u = 293 + -266. Calculate the smallest common multiple of u and 18.
54
Let a(z) = -2*z + 13. Let s be a(7). Find the common denominator of 95/4 and (-3)/s - (-115)/276.
12
Let p = 12 + 4. Let d be 13*(-5 - -9) - (1 + 2). Let x = d - 41. Calculate the smallest common multiple of x and p.
16
Let y = 11 + -3. Calculate the lowest common multiple of y and -5 + (1 - (-5)/5) - -8.
40
Let u be 5/(-2) - 3/6. Let g be (-6 + u/3)*2. Let m = 18 + g. What is the least common multiple of 2 and m?
4
Let x = -12720 + 254317/20. Find the common denominator of x and 61/60 - 1/(-1).
60
Suppose 30 = 2*k + 3*w + 14, -k + 5*w = 18. Suppose -4*u - 6 = -5*u. Calculate the lowest common multiple of k and u.
6
Let x = 34 - 24. Suppose 4*f = -4*k - 40, -4*k = -2*f + 7*f + 54. Let w = 22 + f. Calculate the lowest common multiple of x and w.
40
Suppose 2*t = -2 + 6, -2*t = -5*g + 526. Calculate the least common multiple of 26 and g.
1378
Let o(i) = 18*i + 168. What is the lowest common multiple of 42 and o(-8)?
168
Let g = 1301/14 + -597/7. Let w = -854 - -1717/2. What is the common denominator of g and w?
14
Find the common denominator of 0/(-1) + 86/292 and 80/48 - (-371)/(-48).
1168
Let z(k) = 28*k - 218. Calculate the lowest common multiple of 40 and z(8).
120
Let v(o) = -2*o. Let x be v(-1). Suppose -11 - 18 = -x*c - 5*u, -3*c = 2*u - 38. Calculate the common denominator of 172/(-10)*3/c and 50/11.
110
Suppose -5*w + 158 + 22 = 0. Suppose 4*y - 40 = -4*t - 12, 0 = -4*t - 2*y + w. Calculate the common denominator of 17/18 and (-1)/(-4)*(4 + t).
36
Suppose -4*q + 18*q - 700 = 0. What is the smallest common multiple of 55 and q?
550
Let j(n) = -43*n**2 + 8*n - 13. Let z be j(3). Let g = 795/2 + z. What is the common denominator of g and ((-414)/16)/3 + -1?
8
Let t(g) = 3*g**2 - 9*g - 20. What is the lowest common multiple of t(8) and 10?
100
Let q = -35333/6 - -5875. Let n(u) = -u**2 + 19*u - 14. Let r be n(18). What is the common denominator of q and 1/r - (6 + (-904)/160)?
30
Let z(a) be the second derivative of a**5/20 - 5*a**4/4 - 5*a**3/6 + a**2/2 - 4*a. Let v be z(15). Calculate the least common multiple of 10 and v/(-14) - 4/14.
10
Let k = 19 - 23. Let f = -1369/2 + 715. Calculate the common denominator of (3 + 13/k)*178*1 and f.
2
Suppose 3*s = 4*a + 7*s - 36, 0 = 4*a + 3*s - 37. What is the lowest common multiple of 56 and a?
280
Let t be 67/(-18)*105/(-98). Let f = -5/21 + t. Find the common denominator of 25/2 and f.
4
Let u(x) = x + 6. Let p be u(-4). Calculate the common denominator of ((-134)/10)/(-54 - -50) and p + (-14)/(-36)*-14.
180
Suppose 0 = 4*x - 114 + 34. Let b(l) = -l**2 + 11*l - 1. Let w be b(9). Let f = w - 1. Calculate the lowest common multiple of f and x.
80
Let z be 4 - 4/((-16)/4). Suppose -7*o = -z*b - 3*o + 42, o = -3. What is the lowest common multiple of b and 6?
6
Suppose -8*u + 591 = 183. What is the lowest common multiple of u and 2?
102
Let t = -171319/16 - -10704. Let b = t + -293/16. Let q = -4321/10 - -1933/5. Calculate the common denominator of q and b.
4
Suppose 0 = -2*z + 29 - 75. Let w = 55 + z. What is the smallest common multiple of 12 and w?
96
Let f(d) = -d**2 - 7*d - 5. Let z be f(-5). Suppose -4*l + 0*l = -288. Suppose -z*t + l = -t. Calculate the lowest common multiple of 14 and t.
126
Let d = 3099486093/140 - 153073126/7. Let f = -271881 + d. Let z = f + 283. Find the common denominator of -21/8 and z.
40
Calculate the common denominator of -8/15 and (170/9)/((-610)/(-732)).
15
Let b = 55 + -27. Calculate the lowest common multiple of (-108)/(-8) - 5/(-10) and b.
28
Suppose -160338 - 169684 = -3*g + 2*r, -3*r = -3*g + 330027. Let c be ((-3)/(-18))/(16/g). Let y = c + -1144. Calculate the common denominator of -31/14 and y.
56
Let a(b) = -2*b**2 - 38*b**3 + 1 - 22*b + 2 + 19*b. Let y be a(2). What is the common denominator of 25/2 and (2/(-5))/(7/y)?
2
Let l = -7520/7 - -1078. Let u be -1 + (5 - -2 - (0 - 3)). Find the common denominator of l and (-21)/u + 2*(-6)/4.
21
Suppose 3*z + 3*d - 3 = 0, -2*d - 7 = -3*z + 6. Suppose 0 = z*k - 12 - 42. What is the smallest common multiple of 36 and k?
36
Suppose -14*n = -9*n - 160. What is the common denominator of -2 - (92/n - 3) and 15/4?
8
Let v be (-1)/(-3)*(-24)/(-1 + -1). What is the common denominator of (1 + (-14)/v)*960/250 and -9/14?
70
Suppose 16*w - 294 = 154. Calculate the least common multiple of 158 and w.
2212
Calculate the common denominator of 52/27 and (-258)/(-45) + 11/(-11).
135
Let h(w) = -19*w + 6. Let k be h(-3). Let c = 105 - k. What is the common denominator of -13/2 and (-476)/c*2/8?
6
Let s(a) = 2*a + 10. What is the least common multiple of s(0) and 10?
10
Let z(d) be the first derivative of -d**2/2 + 4*d + 2. Let b be z(-4). Suppose b = 3*x - x. Calculate the smallest common multiple of 10 and x.
20
Let j = 17415/209 + 435/38. Let r = j - 185/2. Find the common denominator of r and 5/29.
319
Suppose 12*t - 150 = -18. Suppose -14 = k - 37. What is the lowest common multiple of k and t?
253
Suppose -3*f + 4*f - 7 = 0. Let y(v) = 18*v + 183. Calculate the lowest common multiple of y(-10) and f.
21
Let n = -73122439/315 + 232135. Calculate the common denominator of -89/360 and n.
2520
Suppose -4*c = 4*w - 60, w - 39 = -3*w + 3*c. What is the smallest common multiple of (3/(-2))/(45/(-780)) and w?
156
Let p = 9 + -5. Calculate the smallest common multiple of ((-3)/(21/10))/((-92)/322) and p.
20
Suppose 3*u - 76 = -4*z, -5*z + 120 = -5*u - 10. What is the lowest common multiple of 30 and z?
330
Let i = 10925/28 - 2908/7. Suppose 0*b = -6*b - 12. Find the common denominator of i and b + -1 + 28/16.
4
Let j = -1063/3 + 359. Calculate the common denominator of j and 1 + (-532)/(-40) - 4.
30
Let p = 10 + 0. Calculate the common denominator of 4/(-10) - 118/(-220) and p*((-1)/(-3))/(44/3).
22
Let v be 704/(-3) + -4 - 1. Let c = v - -8005/33. What is the common denominator of 145/6 and c?
66
Let x be 2772/621 - (-12)/(-3). Let u = x - 8087/1518. What is the common denominator of u and 97/2?
22
Let d = -61 + 63. What is the least common multiple of -3*(3 - d) - -39 and 4?
36
Let b = 3353165/1133448 - 2/47227. Calculate the common denominator of -85/24 and b.
