z + 570 = 15*z. What is the lowest common multiple of z and 6 + ((-2)/12 - 65/(-30))?
456
Let f = 2405998 + -8801140623/3658. Find the common denominator of 101/4 and f.
7316
Let q = -111 + 111. Suppose 19*v - 112 - 1104 = q. What is the smallest common multiple of 28 and v?
448
Suppose -33*m + 43*m - 7038 = -41*m. What is the least common multiple of 8 and m?
552
Let k(t) = 3*t**3 + 9*t**2 - 10*t + 13. Let x be k(-10). Let r = x + 11819/6. Calculate the common denominator of r and -121/24.
24
Calculate the common denominator of ((-14)/(-4))/((-19)/(-38)) + 12716/(-1925) and 4/1085.
5425
Calculate the common denominator of 26/473 and (-189106)/(-11868) - (-80)/(-5).
2838
Let u = -1427/168 - -71/28. Calculate the common denominator of ((-236)/(-9))/((-8808)/3303) and u.
24
Let d be -68*(-8)/(-16)*2/(-4). Suppose d = z + 3*f, 6*z - 8*z - f + 34 = 0. Calculate the common denominator of z and (-1)/4 + 70/24.
3
Let v = 315 + -381. Calculate the common denominator of -49/180 and 227/30 - (v + 68).
180
Suppose w = -5*z + 23, 18 = 3*z - 0*w + 2*w. Suppose z*l = 5*y - 76, -2*l + 4*l - y + 32 = 0. Find the common denominator of -41/22 and l/24*(10/8)/5.
528
Suppose -64*h - 132 = -53*h. Suppose 3*o - 2*o = -3*s - 1, -3*o - 2*s = -11. What is the smallest common multiple of ((-5 + 8)/(-3))/(2/h) and o?
30
Let a = 36 + -21. Let r = 18 - a. Let c = r - -33. Calculate the least common multiple of c and 9.
36
Let i = 80652/1145 - 92833577/58395. Let d = i + 1519. What is the common denominator of d and 65/33?
561
Let x(f) = -2*f**2 + 53*f + 4. What is the lowest common multiple of x(20) and 240?
2640
Calculate the common denominator of 0 + -6 + 66/32*8785/3045 and 29/206.
47792
Let h = -83 - -84. What is the common denominator of 45/16 and ((-62)/64 + h)*(50 - 83)?
32
Let u = -2304 - -23063/10. Calculate the common denominator of u and 24/245.
490
Let p = 104 - 100. Let i be 12/90*-3*(p - -1). Calculate the lowest common multiple of (i/4)/(2/(-16)) and 52.
52
Let a be ((-84)/112)/(6/213068). Let m = a - -958663/36. Find the common denominator of -83/108 and m.
108
Suppose 17*a + 11*a = 3360. Suppose 9*m - a = -66. Calculate the lowest common multiple of m and 42.
42
Let q = 89603/5856 - 934/61. Calculate the common denominator of q and -17/1542.
24672
Let g(j) = -7*j + 53. Let s be g(8). Calculate the least common multiple of (1/s)/((-4)/144) and 20.
60
Suppose -3*v + 75 = -6*r + 3*r, 15 = 3*r. Let l = 718 - 716. Suppose -48 = -2*o + u + 14, -l*u = 5*o - 146. Calculate the least common multiple of o and v.
30
Let r(n) = 44*n**2 - 3*n + 2. What is the lowest common multiple of 172 and r(2)?
172
Suppose 5*x - 5102 = -2*w, -1018 = -1431*x + 1430*x + 2*w. Calculate the smallest common multiple of 408 and x.
2040
Let p = -3093941/29240 + 4552/43. Calculate the common denominator of p and 61/1224.
6120
What is the common denominator of (-2 - 668/(-232))*((-1246)/180 - -7) and 17/8?
3480
Calculate the common denominator of (-258)/(-72) + 4 + -4 and (-5)/(-24)*660/(-297).
108
Let m(u) = -u**3 - 424*u**2 - 404*u + 8077. Calculate the lowest common multiple of 24/10*50/4 and m(-423).
120
Let o = 1460407/36 + -40564. Calculate the common denominator of o and (-38)/(-304) - 4/((-48)/(-15)).
72
Let c = 51080889038839/2244967641 - 34/35634407. Let o = -22754 + c. Find the common denominator of o and -5/49.
441
Let n be (-248)/(-18) - 2*6/(-54). Suppose -520 = -n*k + k. What is the lowest common multiple of 50 and k?
200
Suppose 0 = -1855*t + 1873*t - 288. Calculate the lowest common multiple of ((-14)/(-3))/(3/36) and t.
112
Suppose -5*s - 13*g + 609 = -10*g, 3 = g. Find the common denominator of ((-10)/32)/((-2)/(s/21)) and -67/42.
84
Suppose 301*p + 1641 = 6457. What is the smallest common multiple of p and 1408?
1408
Let z = 20075 + -20016. What is the lowest common multiple of 826 and z?
826
Suppose 0 = -3*w + 4*w - d - 957, -4*w + 2*d = -3834. Calculate the least common multiple of w and 380.
18240
What is the smallest common multiple of 295 and (20/(-60))/((-3)/(-3))*-1593?
2655
Let y = 519 - 42. What is the common denominator of 105/76 and -4 - y/(-42)*(6 + -5)?
532
Suppose 11193 = 35*k + 5*k - 1447. Calculate the least common multiple of 79 and k.
316
Let g = 24523/30 + -816. Let d be -1*(-868)/(-218) + (-36 - -40). Let t = 6304/981 + d. Calculate the common denominator of g and t.
90
Let n = 8 - 7. Let w(p) = 2*p**3 + p**2 - 2*p + 1. Let k be w(1). Suppose -5*o + 10 = k*r + 3, 2*o = 5*r - 32. Calculate the least common multiple of r and n.
6
Suppose 5*h - 4*d = 383, 5*h = -730*d + 726*d + 367. Calculate the smallest common multiple of h and 23.
1725
What is the common denominator of 75394/10791 + (-56)/8 and 113/1962?
1962
Let a = 167 + -123. Let o = a - 32. Calculate the smallest common multiple of o and 18.
36
Suppose -77 = 4*m + 111. Let b = 45 + m. What is the common denominator of ((-96)/(-135)*b)/(8/12) and 56/3?
15
Let v(z) = 2*z**3 - 6*z + 6. Let h be v(3). Let r = h - -71. Find the common denominator of -73/6 and r/54 - 30/(-45).
54
Let r be 2/3 + (-1672)/(-12) + 4. Let f = r + -60. Suppose -3*l - 3*l = -f. What is the lowest common multiple of 6 and l?
42
Let l(f) = 3*f**2 + 61*f + 208. Calculate the least common multiple of 170 and l(35).
30090
Let n be (-8)/60*(-2729)/2. Let b = -181 + n. Find the common denominator of -53/42 and b.
210
What is the common denominator of (10 - (8 - 23))/((-3426)/(-9)) and 43/10?
5710
Let l be 0 + 1 - (-7)/(700/19105). Let c = l + -192. Calculate the common denominator of c and 113/36.
180
Let z be ((-232)/(-174))/((-4)/(-2046)). Calculate the least common multiple of 10 - (-451)/(-44) - z/(-8) and 1.
85
Let s be -2 - (-11)/((-66)/(-12)). Let k(c) = -3*c**2 + 40. What is the lowest common multiple of 36 and k(s)?
360
Let b = 11 - 12. Let k be b/(44/8) - 986/22. What is the smallest common multiple of 22 and 30/7*(-210)/k?
220
Let l be ((-2)/4)/((-1)/22). Let m = l - 8. Let i = 10387 + -10354. What is the lowest common multiple of m and i?
33
Suppose 13*q - 283 - 1381 = 0. Suppose 4*z = z - 354. Let g = q + z. What is the lowest common multiple of 4 and g?
20
Suppose 0 = -4*b - 1126 - 2570. Calculate the common denominator of 85/8 and (-4590)/b + 2/(-11).
56
Let j = 29964 + -898781/30. Calculate the common denominator of j and -6 + 2 + 20/(-24).
30
Let h(y) = 11*y - 1. Suppose -2*b - 5 + 3 = 0. Let m be h(b). What is the smallest common multiple of 8 - (-4)/m*-3 and 3?
9
Let z = -9373/564 + -484/47. Let o = z + 104/3. What is the common denominator of 150/(-8)*-3*7/280 and o?
32
Suppose 5*v + 5*n + 9 = n, -18 = 2*v + 4*n. Let j(x) = -x**2 - 4*x + 7. Let q be j(-5). Suppose -v*y = q*y - 40. What is the least common multiple of y and 2?
8
Let n(j) = -13 + 1 + 19*j - j**2 + 14. Let p be n(19). Suppose c + 45 = 4*c + p*o, -o - 10 = -c. What is the smallest common multiple of c and 4?
52
Suppose -16*a = 262 + 314. Calculate the common denominator of ((-1)/(-18))/(a/1350) and -85/194.
1164
Let q = 2659 - 23989/9. Let m = -3428801/54 - -63499. What is the common denominator of q and m?
54
Let w(k) = -k**3 + 57*k**2 + 113*k + 325. What is the least common multiple of w(59) and 1 - (12/(-3) + -1)?
30
Let s = 1868 - 1864. Calculate the smallest common multiple of 52 and s.
52
Suppose -8*b - d - 3 = -6*b, 4 = -3*b - d. What is the common denominator of (b/(-6))/(4 - (-897)/(-225)) and 18/11?
22
Let n be 5 + (6/(-12) - (-1620)/(-8)). Let k = n + 206. Calculate the least common multiple of k and 48.
48
Suppose -2*q + 803 = -u - 476, 5*q + 4*u - 3230 = 0. Calculate the lowest common multiple of q and 20.
6420
Let d be 2 - ((-37916)/(-1152) + 2/9). Let m = d - -85/3. Let r = m + -33/32. What is the common denominator of r and 5/27?
54
Suppose 5*i + 7 = -5*u + 142, -4*u - 24 = 0. Calculate the smallest common multiple of i and 4080.
44880
Let g = 933759/7245844 - 4/17587. What is the common denominator of 41/24 and g?
2472
What is the smallest common multiple of 124 and (-7 - 319/(-33))*(-30)/(-8)?
620
Let d(n) = 84*n + 514. Let c = -17 - -17. Suppose -160 = -c*s - 4*s. What is the lowest common multiple of s and d(-6)?
40
Let j = 18949634/1858606617 + -4/979761. Calculate the common denominator of j and 36/11.
62601
Let f = 9354751