the lowest common multiple of r and 1/(0 - d/(-6)).
6
Let t be 1/(-6) - 3078/(-204). Let q = t + 38/51. Calculate the common denominator of ((-114)/4)/((-231)/(-44)) and q.
21
Suppose 3*g = -0*g. Let i be (g - -1)*(-1 + 1). Suppose i = 3*y - 8*y + 10. What is the least common multiple of y and 22?
22
Suppose 2*b + 13 + 5 = 0. Suppose 5*u + 24 = 2*o, -5*u + 2*u - 4 = 4*o. Calculate the smallest common multiple of 10 and (-178)/b + u/(-18).
20
Let i = -7833364872929/20 - -391747953892. Let d = i + -79689818. Let b = d + -20422. Find the common denominator of 9/10 and b.
20
Let z be (2/(-4))/(5/(-80)). Let h = 195 + -192. Suppose i = h*x + 2*x - z, -4 = -i - x. Calculate the least common multiple of i and 6.
6
Calculate the smallest common multiple of 9 and (-10)/((-4)/(-2)) + 29.
72
What is the lowest common multiple of 388/3*(348/(-24) - -19) and 6?
582
Suppose -o - 24*o = -4725. Calculate the lowest common multiple of 147 and o.
1323
Let w = 11 + -2. Find the common denominator of 29/39 and (-4)/(216/363) - 3/w.
234
Let o(i) = -i**2 + 11*i - 14. Let w be o(9). Suppose s + 1 - w = 0. Suppose 3*p = 3 - 0. What is the least common multiple of s and p?
3
What is the least common multiple of 4 and (-5 + 5 + -10)/((-10)/36)?
36
Calculate the least common multiple of (328/6)/(48/72) and 12.
492
Let s(d) = d**3 + 17*d**2 - 18*d + 24. What is the smallest common multiple of 30 and s(-18)?
120
Let c be -2 + 0 - 99586/(-49130). Let m = 159611/78030 - c. What is the common denominator of 115/18 and m?
54
Let c be 37214/96 - 100/(-60). Let a = c + -389. What is the common denominator of a and -91/8?
16
Let w = -56 - -52. Find the common denominator of -2 + (w - -3) + (-91)/(-64) and -87/14.
448
What is the common denominator of 13/18 and 6*(2380/(-441) - -6)?
126
Suppose -5*v - 85 = -4*u, 0*v = -4*v - 4. Suppose -g + 82 = -4*p, 0 = 2*g - 4*g - 3*p + 120. Calculate the lowest common multiple of 8/5*165/g and u.
20
Let p = -10 - -4. What is the common denominator of (0 - 2/p) + (-3)/7 and 62/27?
189
Let k = -41 + 57. Suppose -4*f = -20 - k. Let b = -14 + 19. What is the lowest common multiple of b and f?
45
Suppose -8*w - 41 = 127. What is the smallest common multiple of 6/(-3)*1 - w and 8?
152
Let c(f) = f**3 - 12*f**2 + 11*f. Let g be c(11). Calculate the least common multiple of (32/10)/(1/5) and (-1 - g)/(4/(-72)).
144
Let u = 397859/40 + -9947. Find the common denominator of u and 1/20.
40
Let p = 2784263/477 - 5837. What is the common denominator of p and -103/48?
7632
Let h be (-26)/(-156) + (-190)/(-12). Suppose -15*m = -11*m - h. What is the smallest common multiple of 8 and m?
8
Suppose -5*n + n + 21 = -h, -4*n = 3*h - 17. Suppose 0 = -n*t - 2 + 52. Find the common denominator of (-6)/3 + 1 + t and -39/8.
8
Suppose 344 = 11*q - 811. What is the least common multiple of q and 12?
420
Let v = 1741585 + -13890123/8. Let b = v + -5327. What is the common denominator of b and 101/20?
40
Calculate the lowest common multiple of (1 + (-10)/6)*-3 and (-21 + 30)*(-8)/(-9).
8
What is the smallest common multiple of ((-18)/12)/((-6)/48) and 12?
12
Let s be (24/60)/((-1)/(-30)). What is the least common multiple of 3 and (-230)/(-15) - 4/s?
15
Suppose 5376 = 18*c - 15*c. Calculate the lowest common multiple of 8 and c.
1792
Let m = 0 + 4. Suppose -m*t + 2*z = -10, 0*t - t + z = 0. Suppose -16 = -s - 2*g, t*s - 5*g = 4*s + 37. What is the lowest common multiple of 16 and s?
176
Suppose -28 = 2*f - 6*f. What is the lowest common multiple of (-9)/6 - f/(-2) and 13?
26
Let s = 193345/36 + -5372. Let l = 5765 + -92149/16. Calculate the common denominator of l and s.
144
Let n = 3/1852 - -9142/1389. What is the common denominator of n and 79/6?
12
Let w(s) be the first derivative of -2*s**2 - 2*s**2 - 2*s + 10 - 2*s + 5*s**2. What is the smallest common multiple of 8 and w(11)?
72
Suppose 3*n = 7*n - 28. What is the smallest common multiple of -2*((0 - n) + 3) and 9?
72
Let l = 305 + -283. Let q = -14 + 20. Suppose 0 = -4*b - q + 70. Calculate the lowest common multiple of l and b.
176
Let z = -4/453 - 568/4077. Find the common denominator of z and -56/9.
27
Suppose -24 = 3*a + 3*d, -3*d - 7 = -a - d. Calculate the common denominator of (272/(-12) - -2) + a and 23/(-18)*(-8)/2.
9
Suppose -12*u - 11*u + 4899 = 0. What is the smallest common multiple of 24 and u?
1704
Let n = 2805 + -28073/10. Calculate the common denominator of 3*2*22/(-9) and n.
30
Let y(n) = 6*n + 38. Let c be y(-6). Let v(z) = 2*z**2 - 8*z - 3. Calculate the least common multiple of c/5 + (-192)/(-120) and v(6).
42
Suppose 7*v + 4*q + 4 = 6*v, -2*v + 40 = -4*q. Calculate the smallest common multiple of 3 and v.
12
Suppose 82*u = 53*u + 290. Suppose -4*n - 34 - 18 = -3*z, 4*n = -5*z + 44. What is the least common multiple of u and z?
60
Let s = -447953/36 + 12442. Find the common denominator of (-854)/(-231) - (-1 - -3) and s.
396
Let l(q) = q**3 - q**2 - 10*q. What is the least common multiple of l(5) and 22?
550
What is the lowest common multiple of 64 and -3 - 4/(4/(-15))?
192
Suppose -7*t + 8*t - 687 = -4*v, 0 = t - 3. What is the smallest common multiple of v and 57?
171
Calculate the common denominator of 41/20 and 7/5 + 1313/(-520).
40
Suppose 0 = 359*i - 354*i - 10. Calculate the lowest common multiple of 146 and i.
146
Calculate the least common multiple of 11 and 4*3/(-4*3/(-186)).
2046
Let o = 66436 - 5846443/88. Find the common denominator of -49/8 and o.
88
Suppose 0 = -5*p - 26 - 14. Let a be (-70)/p + (-1)/(-4). Suppose 21 - a = 3*o. What is the smallest common multiple of o and 1?
4
Suppose 6*x - x = -2*l + 12, -4*x + 13 = 5*l. Suppose u - l = 2*u - c, 3*u + 3*c = 15. Calculate the least common multiple of 4 and u.
4
Let h = 1/241 - -16137/2410. What is the common denominator of h and (-290)/92 - 1 - -4?
230
Let q(i) = -20*i**2 - 241*i - 1. Calculate the lowest common multiple of q(-12) and 23.
253
Let d = -2639 + 4055. What is the smallest common multiple of d and 33?
15576
Let s = -133 - -93. Let w = 42 + s. Suppose -3*z + 2*h - 2 + 22 = 0, -3*z - 2*h + 40 = 0. What is the lowest common multiple of z and w?
10
Suppose 2*q = -4*u + 16, 7*u + 29 = 5*q + 6*u. Suppose 4*n - 3*n - 5 = 0, 0 = 3*h + 3*n - 33. What is the lowest common multiple of q and h?
6
Let l = -20530 + 5830453/284. What is the common denominator of 67/22 and l?
3124
Let f(q) = q**3 + 6*q**2 - 10*q - 17. Let j be f(-6). What is the common denominator of ((j/22)/((-2)/(-4)))/1 and -25/58?
638
Let k(s) = -s**2 - 7*s - 3. Let h be (-783)/5 - (-18)/(-45). Let u = h + 165. Calculate the least common multiple of u and k(-5).
56
Calculate the common denominator of 51/40 and 2/3 - (-695)/2700*-9.
40
Let l = -41 - -43. Suppose -l*o - 3*p = -69, 4*o = 10*p - 5*p + 127. Calculate the smallest common multiple of 18 and o.
198
Let y(j) = -j**3 + 14*j**2 + 58*j - 11. Calculate the smallest common multiple of y(16) and 15.
405
Let l be 4/(-8)*-1*0. Suppose l = 2*o - 15 + 3. What is the lowest common multiple of 20 and o?
60
Let u(b) = b**3 + 10*b**2 + 10*b + 17. Suppose -3*w = -y - 347, 0*w = -w - 3*y + 99. Calculate the smallest common multiple of w and u(-9).
456
Let c be (1 - 4)/(0 + 1). Suppose -6*g + 16 = -32. Let s = g + c. Calculate the least common multiple of 17 and s.
85
Let q = -2016 - -20199/10. Calculate the common denominator of -3/502 and q.
2510
Let b = 3387338 - 20368423/6. Let p = b + 7420. Let a = -1147/2 - -12695/22. Find the common denominator of a and p.
66
Suppose -3*m - 36 = -6*k + k, 4*k - 26 = m. Let o = -10 + 7. Let c = 9 + o. What is the smallest common multiple of k and c?
6
Let c = 35 + -25. Suppose 5*z = c + 70. Calculate the lowest common multiple of 8 and z.
16
Let y = -1793 + 8934/5. What is the common denominator of 41/267 and y?
1335
Suppose 2*k + 10*j = 5*j + 196, -k = 2*j - 100. What is the smallest common multiple of k and 40?
1080
Let a = -24/553 + 66743/21567. Let r = -438/91 + a. Calculate the common denominator of 115/12 and r.
84
What is the smallest common multiple of (13 + -9 - 2)/((-1)/(-5)) and 22?
110
Suppose 5*d + 65 = -5*a, 0 = -0*d - 4*d + 5*a - 61. Let r be -1 + (7 - 3) - d. Let g = 18 - r. Calculate the smallest common multiple of g and 8.
8
Let h be 4/(-10) - (-7162)/17780.