3. Suppose 0 = 2*l - 15 - 37. Let h = l + v. What is the smallest common multiple of 20 and h?
260
Let z(b) = b**2 + b. Let a be z(-3). Suppose 2*d - a*d + 36 = 0. Calculate the lowest common multiple of d and 1.
9
Let t = -544979/2790 + 6004/31. Calculate the common denominator of -85/18 and t.
90
Let s be -6*-3*(-3)/(-1791). Let y = s + -2623/1194. What is the common denominator of y and 27/52?
156
Let j = 25 + -3. Let l = j - 13. What is the smallest common multiple of 43 and l?
387
Let k = 3 - 1. Suppose 3*u = s + 13, 5*s + 5*u - 41 + 6 = 0. Suppose -23 - 6 = -4*z + v, 3*v + 3 = -s*z. What is the least common multiple of z and k?
6
Let c(d) = -2297*d + 1. Let u be c(1). Let v = -194837/30 + 20952/5. Let a = u - v. Calculate the common denominator of 101/18 and a.
18
Calculate the common denominator of 0 and -3 + 378/24 - 2.
4
Let s be 497/5 + 44/(-10) + 5. Let v(d) = d**3 + 5*d**2 + 3*d + 1. Let o be v(-4). Suppose o*k - s = -0*k. Calculate the smallest common multiple of 10 and k.
20
Suppose 0 = 76*w - 69*w - 280. Calculate the least common multiple of 35 and w.
280
Suppose -x - 243 - 895 = 0. Let l be 3 + (-3)/((-324)/x). Let y = l + 1/27. Find the common denominator of 77/2 and y.
2
Let t = -197441 - -154793707/784. Find the common denominator of t and 44/7.
784
Suppose 3*y = 570 - 522. Let v be ((-2)/(-3))/(2/42). Suppose g + v = q - 6*q, 5*g - 46 = 4*q. Calculate the least common multiple of g and y.
48
Suppose -199 = -5*o + 5*c + 401, 650 = 5*o + 5*c. Suppose -5*u = -4*d - o, 4*u + 80 = -3*d - 6. What is the common denominator of 23 and ((-6)/105)/((-3)/d)?
7
Let k be (-4)/(-8)*(1 + 37). Let w = k - -9. Suppose w + 38 = 5*r + 4*b, -2*b - 2 = -r. What is the lowest common multiple of r and 16?
80
Let s be (-2)/(15128/(-19))*-2. Let z = -5196563/18910 - s. Let q = z + 276. What is the common denominator of 40 and q?
5
Suppose -3*g + 50 = 5*u + 18, -4*g + 37 = u. What is the least common multiple of 2*3/g*(1 + 11) and 6?
24
Suppose 73*c - 72*c = 40. What is the smallest common multiple of 6 and c?
120
Let d be (9564/(-1470) - -5) + (-2)/(-10). Let p = -178/539 + d. Calculate the common denominator of -103/50 and p.
550
Let a = 982753/30 + -32754. What is the common denominator of a and -68/105?
210
Suppose 7*c - 8*c + 93 = 3*x, 85 = c + 5*x. What is the least common multiple of c and 12?
420
Let q(c) = c**3 - c**2 - 31*c + 4. Calculate the smallest common multiple of 185 and q(0).
740
Let q(j) = -7*j + 2. Let n(b) = -b + 1. Let i(x) = 6*n(x) - q(x). Calculate the least common multiple of (3 + 2)*(-110)/(-25) and i(8).
132
Calculate the lowest common multiple of -1 + 53 - (25 - 12 - 13) and 4.
52
Let n = -46 - -79. Calculate the lowest common multiple of 4 and (4/(-3))/((-11)/n).
4
Let d(o) = 2*o - 6. Suppose 18 = -4*z + 7*z. Let w be d(z). Calculate the common denominator of ((-924)/(-70))/(w/20) and -15/7.
7
Suppose -3 = 3*o - 5*q - 9, -2*o = q - 17. What is the smallest common multiple of o and 10?
70
Let g = 10096 + -555248/55. Calculate the common denominator of g and -16/45.
495
Suppose 2*f = -k - 3*f + 10, 0 = -2*k - 2*f + 36. Let v(b) = -b**2 + 4*b + 4. What is the least common multiple of v(4) and 1 + 7 + (k - 24)?
4
Suppose 18*q = 8 + 100. Calculate the lowest common multiple of q and (-3 - -1) + (45 - 1).
42
Let b = -35 + 76. Suppose -z - b - 6 = -4*u, 4*z - 16 = -u. Suppose 4*n - 60 = -u. What is the lowest common multiple of 14 and n?
84
Suppose 4*r - 1035 = -5*v + r, -r = 5. Calculate the smallest common multiple of 105 and v.
210
Let p = 28 - 22. Suppose -11 = -x + 3*f, -2*x - p*f = -f + 22. What is the lowest common multiple of 16 and x/2 + 1395/30?
368
Let i = 611/19 - 586/19. Calculate the common denominator of i and 95/2.
38
Let g = 1343/106 - 9/53. Suppose 4*s + 25 = -151. Find the common denominator of -2*(-89)/s - -1 and g.
22
Let h be 2/8 + 0 + (-15123)/12. Let f = -3845/3 - h. Find the common denominator of f and (2 - -2)*(-29)/(-4).
3
Let c(y) be the second derivative of 0*y**3 + 0 + 0*y**2 - 1/12*y**4 - 3/20*y**5 + 4*y. What is the smallest common multiple of 20 and c(-2)?
20
Let w be (60594/(-3231))/(4*(-156)/(-165)). Let r = w + 3/4667. Calculate the common denominator of 29/9 and r.
72
Suppose -5*l + 85 = 5*o, 18 = -4*o - 2. Suppose -c - 12 = -3*c - 2*z, 4*z = 4*c - 40. What is the lowest common multiple of l and c?
88
Suppose -r - 147 = -4*a, 3*a - 5*r = -0*r + 106. Suppose 0 = -0*j - 3*j + 3*k + 21, -j = 5*k - a. What is the smallest common multiple of j and 20?
60
Calculate the common denominator of 79/6 and 4 + 3986/(-912) - 6/18.
456
Suppose 41 + 37 = -2*r. Calculate the common denominator of 47/16 and (r/(-65))/(28/10).
112
Suppose 5*m = -5*l + 155, 9*m = 4*m + 20. Calculate the smallest common multiple of 105 and l.
945
What is the common denominator of (-2)/8 + 115/44 and (35 - 37) + ((-8)/(-12) - 2)?
33
Let i = 30 - 30. Suppose i = 6*u - 0*u - 252. What is the lowest common multiple of u and 6?
42
Let x = -171723 + 89982933/524. Find the common denominator of x and 63/32.
4192
Find the common denominator of -31/64 and 0 + 0 + (2110/200 - 8).
320
Suppose 0 = q - 10 - 12. Let h be (-4 - 0)/((-2)/4). Calculate the lowest common multiple of q and 12*(12/h + 0).
198
Let r = 32840/9 + -3641. Calculate the common denominator of 59/27 and r.
27
What is the least common multiple of (-15)/(-20)*(-10)/3*-4 and 9?
90
Let u = 57264/11 + -4580097/880. Let b = -2944 - -41189/14. Find the common denominator of u and b.
560
What is the common denominator of 1/7 - (-635)/(-770) and 339/30 - (0 - 1)?
110
Suppose -2*t + 5*b = -7, -15*b + 19*b - 4 = 0. What is the lowest common multiple of t and 254?
762
Suppose -88 = -4*m + 2*c, -2*m + 48 = m + 3*c. Suppose 3*o - m = -k, 2*k - 5*o + o = 0. Calculate the lowest common multiple of 8 and k.
8
Let f = -3860 + 92621/24. Let n = -288091/20 - -14410. What is the common denominator of n and f?
120
Let u = 18 - 14. Let l(h) = -u - 66*h + 9 + 72*h. What is the common denominator of -67/4 and l(-7)?
4
Let w be -3 - ((-1341)/231)/3. Let t = w - 309/154. Let q = -862/7 + 2221/14. What is the common denominator of t and q?
14
Calculate the common denominator of 19/72*(13 + (-936)/65) and -3/56.
2520
Suppose 0 = -4*u + 4*h + 32, 2*h + 21 + 0 = 3*u. Let n be 8 + -5 + -1 + 1. Let y = u - n. Calculate the smallest common multiple of 7 and y.
14
Let i(c) = c + 12. Let m be i(-7). Let s = 10 - 1. Let q = s - m. Calculate the smallest common multiple of 4 and q.
4
Find the common denominator of 191/9 + (-1)/(-9) and -70/207.
207
Suppose -6*r + 143 = 7*r. Let l = 15 - 9. Calculate the lowest common multiple of 3/(-2)*(-16)/l and r.
44
Calculate the common denominator of 15260/(-13328) + 1 + (-10)/7 and -5/374.
748
Let r = -28795/3738 + -22/267. What is the common denominator of r and (8/24)/(((-42)/291)/1)?
42
Let u(d) = -d**2 - 13*d + 40. Let f be u(-13). What is the common denominator of -145/6 and (1 - (-226)/f) + (-8)/(-32)?
30
Let z(w) = -w**2 - 9*w + 2. What is the least common multiple of z(-8) and (2925/(-300))/((45/48)/(-5))?
260
Let a(n) = 8*n**3 + 2*n**2 - 2*n + 1. Let o be a(1). Suppose o = 2*t - 7. Suppose 5*x + 11 = 21. What is the least common multiple of t and x?
8
Let f = -37 - -35. Find the common denominator of 46/3 and ((-258)/(-16))/(3/f).
12
Calculate the common denominator of 1 - (-8 - (-1309)/330) and -85/4.
60
Calculate the common denominator of 115/24 and (-220)/57 - (7 - (15 + -5)).
456
Suppose -6*w + 120 = 4*w. Let t(s) = 13*s - 18 - 3*s - s**2 + 5*s. Calculate the lowest common multiple of 22 and t(w).
198
Let m = 1667 + -20021/12. Let j = 76537/24 + -3187. What is the common denominator of j and m?
24
Let v = 1942/7 + -31429/112. Let z = 8465/198 - 422/11. Calculate the common denominator of z and v.
144
Let s = 1147 - 5712/5. Let l = -3418 - -47653/14. Let q = l + 75/7. Find the common denominator of q and s.
10
Let w(o) = -18 + 12 + 7 - o. What is the smallest common multiple of w(-6) and 10?
70
Let p(c) = -c**2 - 5*c + 8. Suppose 2*q + 3*w - 34 = 0, 0 = -2*w + 3 + 1. Suppose g - 24 = -q. Calculate the least common multiple of g and p(-6).
10
Let x = 1821 + -10889/6. Find the common denominator of 55/274 and x.
822
Suppose -i + g = -3*i + 82, 2*i = 5*g + 