Find the common denominator of (1/(-3))/(l/35 + -3) and -83/6.
12
Let b = 15913/16776 - -35/932. What is the common denominator of b and ((-4895)/528)/((-85)/68)?
72
Let v(t) = 41*t**3 - 242*t**2 - 19*t - 14. What is the lowest common multiple of 1852 and v(6)?
7408
Suppose -h - 38582 = 4*n, -6*n = -5*h - n - 193035. Let r be 1/(-11160)*h - 4/(-18). Let i = r + 25/93. Calculate the common denominator of i and -7/64.
320
What is the common denominator of (403/52 - 8)/((-3508)/(-556) + 2) and 157/1980?
13860
Calculate the common denominator of -42/19 and ((-6)/188)/((-3112)/448 - -7).
893
Let y = -252 + 252. Let d(n) = 3*n**2 + 5*n**3 + 7 - n**2 + 19 - 4*n**3. What is the smallest common multiple of 10 and d(y)?
130
Let h = -116 - -24. Calculate the least common multiple of 30 and ((-54)/36)/(2/h).
690
Let x = -4/361 - 3931/3610. Let f be (-1)/(-3 + 2) + 2. Calculate the common denominator of x and (-438)/f*1/(-12).
30
Let b(v) = -23*v + 23. Let h be b(5). Let l = h + 130. Calculate the lowest common multiple of l and 4.
76
What is the smallest common multiple of (-1)/3 + 220/30 + 3 and 60?
60
Let h = -172 + -30. Let x = -192 - h. What is the lowest common multiple of x and 213?
2130
Suppose -5*d = -44*h + 47*h - 1050, 5*h - 1682 = 3*d. Calculate the smallest common multiple of h and 748.
3740
Let f = 133 - 141. Calculate the common denominator of 53/12 and (-2675)/100 + (-2)/f.
12
What is the common denominator of (-3358)/(-28105)*(-9155)/84 + 13 and -6/49?
3234
Suppose 0 = -16*r + 11*r + 10. Let c be r + -5 + (-11 + 2)/(-1). Find the common denominator of (0 + 1/15)/(c/1071) and 11/20.
20
What is the common denominator of -67/110 and ((-81)/(-270))/(970/24) - 0?
53350
Let h = -145152 + 14515077/100. Let z = 139741/18 - 7758. Find the common denominator of z and h.
900
Let x(j) = j**3 + j**2 - 2*j + 6. Let r be x(-3). Let n be (-476)/(-56) + r/(-4). Calculate the common denominator of -47/8 and ((-2)/(-4)*156)/n.
40
Let c = 65 - 55. Let q be (-9)/(45/c) + 2. Find the common denominator of 46/5 and (-1 + q)*(4 + 44/12).
15
Let u(b) = -12*b**3 - 2*b**2 + b + 2. Let a be u(-2). Let w(c) = 2*c + 18. Let i be w(-2). What is the lowest common multiple of 196 and a/22*(i/(-4))/(-1)?
196
Let m = 26 + -14. Suppose -100 - 404 = 12*p. Let k(n) = -7*n - 284. Calculate the smallest common multiple of k(p) and m.
60
Let w be (5 - -1)*(-20 + 49). What is the lowest common multiple of 40 and w/(-4)*(-416)/78?
1160
Suppose -12 = l - 34. Let t = -516405 - -516438. Calculate the least common multiple of l and t.
66
Let u(a) = a**3 + 23*a**2 + 6*a + 22. Let h(y) = 2*y**3 + 45*y**2 + 14*y + 43. Let x(f) = -4*h(f) + 9*u(f). What is the lowest common multiple of x(-27) and 10?
80
Let y = 426273/152 - 2805. What is the common denominator of 6/19 + (-30827)/12122 and y?
1672
Let y = -64845083/88 - -736898. Let l = y - 310/11. What is the common denominator of (-2)/6 + 50/132 and l?
88
Suppose 9*t + 900 = 27*t. Let n = 53 - t. Suppose -n*s = 5*b - 157, -2*s - 158 = -5*b - 4*s. Calculate the lowest common multiple of b and 16.
32
Calculate the lowest common multiple of 2 - -5 - 16/((-224)/16954) and 30.
6090
Let g(r) = -20*r**3 + 3*r**2 + 3*r + 1. Let h be (-6)/33 - 108/132. Calculate the lowest common multiple of 243 and g(h).
1701
Let i = 1 + 0. Let u(j) = -j**2 + 11*j + 66. Let l be u(-4). Calculate the smallest common multiple of -3 - (2 - 2 - l) and i.
3
Let q = 36151/10 + -3603. Let k be 143901/(-66)*(2/(-6378))/1. Let i = 2/1063 - k. Find the common denominator of i and q.
110
Let f(d) = -12*d**2 - 3*d**3 - 2338 - 32*d + 2342 + 2*d**3. Suppose -14 + 44 = 5*y + 5*z, 0 = y + 4*z + 6. Calculate the least common multiple of y and f(-4).
20
Let c be (-24 + 25)/((-14)/197). Let t = c + 1482/119. Find the common denominator of t and 63/5.
170
Let d = 1096 - 7712/7. Find the common denominator of d and 26 + -27 + (0 - (-508)/24).
42
Let q = 15208630/21 - 724218. Let g = 47/15 + -689/30. What is the common denominator of q and g?
42
Let y = 949 + 185. Calculate the least common multiple of 729 and y.
10206
Suppose -5*s + 3*x + 107 + 94 = 0, -15 = -5*x. Let m(d) = -d**3 - d**2 + d + 2. Let b be m(0). What is the smallest common multiple of 18 and (3 - 4) + s/b?
180
Let v(c) = -6*c + 45. Let k be v(-10). What is the least common multiple of 56 and k/(-9)*(7 + -10)?
280
Let x(n) = -n + 6. Let s be x(10). Find the common denominator of (117/4)/((-66)/s) and -1 - ((-6)/(-3))/(-68)*-27.
374
Calculate the least common multiple of 4*480/((-2 - -6)/2) and 54.
8640
What is the common denominator of (8/(-245))/((-168)/308) and 39/392?
5880
Let a = 391 + -375. Let k(i) = -5 - 79*i**2 + 81*i**2 + 3*i - 5*i. Calculate the least common multiple of a and k(3).
112
Let o = 82 + -88. What is the common denominator of -26*100/672 + o/(-21) and 53/38?
228
Let d be ((-9)/(-348))/(15 - 82 - -16). Let q = 1347266275/62091378 - -3235/62973. Let j = q - d. Calculate the common denominator of j and 3/14.
28
Suppose 2 - 1 = w. Let i(g) = 86*g**2 + 20*g - 21. Calculate the least common multiple of 50 and i(w).
850
Let k = -479/374 - 65/374. What is the common denominator of k and (-5)/18*86/10?
198
Let y be (1228 + -40)*(-2)/(-2). Let k = 129291/16 - 8075. What is the common denominator of 4311/y + -4 - (-4)/6 and k?
176
Let h = -22 - -28. Let q be 20/h - 26/(-39). Suppose 0 = 2*n - q*w - 2, 4*n + 4*w = 2*n + 34. Calculate the least common multiple of n and 9.
9
Let h = -229 + 238. Suppose 6 = 2*z - 2*p, 0 - 3 = 3*p. Suppose z*s = -s + 30. What is the lowest common multiple of h and s?
90
Let t(q) = 8483*q**3 + 2*q**2 + 5*q + 6. Let k be t(-10). Let n = -152862811/18 - k. Let y = n + 9532. Find the common denominator of y and -67/10.
90
Let h(d) = -15*d + 171. Let v(f) = -4*f + 43. Let q(u) = 2*h(u) - 9*v(u). What is the smallest common multiple of q(8) and 24?
24
Let r = -9 + 50. Let o be -87*((-4)/(-6))/2. Let n = r + o. What is the lowest common multiple of 42 and n?
84
Let k(b) = 272*b**2 - 1778*b + 2. Calculate the least common multiple of k(7) and 102.
2652
Let w = -58 + 94. Suppose 0 = -5*h - 5, 39*t = 43*t - 3*h - 363. Calculate the least common multiple of w and t.
180
Let q = -5663479/1488204 - -1/41339. Find the common denominator of (-2)/24*(-309)/6 and q.
72
Suppose 15*p - 2642 + 3119 = 11007. What is the lowest common multiple of p and 9?
702
Let j = -108/7 - -46/3. What is the common denominator of 11542/(-82128) - (-2 + (-26)/(-16)) and j?
2478
Suppose -5*x + 75 = -2*x. Let g be (-2338)/(-1470)*x/18. Let k = 23/27 - g. Find the common denominator of 9/64 and k.
448
What is the smallest common multiple of 30 and 0 + 6 - (-2)/(564/(-568) + 1)?
870
Calculate the smallest common multiple of 182 and 1*(-14 + 10976/4).
2730
Let p be 8/(-64)*36/(-537). Let z = 7961/537 + p. Calculate the common denominator of z and 143/24.
24
Let s = 666 + 385. Let k be 3/(-42)*(-44358)/(-2 - 1). Let g = s + k. What is the common denominator of 2/7 and g?
7
Suppose -277*u = -282*u + 20, -n = 4*u - 20. Calculate the lowest common multiple of n and 656.
656
Suppose -11*g + 5*o - 12 = -7*g, 2*g - 5*o = -6. What is the common denominator of g - -1 - (-490)/110 and -93/74?
814
Suppose 0 = 2*w - 5*y + 253, 3*w + y = -3*y - 322. Let f = w - -141. Calculate the least common multiple of f and 3.
27
Calculate the common denominator of ((-9)/116)/(35/(-112)) and 15/116.
580
Let d = -6110677/1015755 + 8/15627. Let j = d + 3/26. What is the common denominator of -119/60 and j?
60
Let r = 158947/6 + -26481. Let g be ((-3)/(-2))/(3/44). What is the common denominator of g/4*(-2)/26 and r?
78
Let g(r) = 2*r + 16. Let f be g(-6). Calculate the common denominator of 8/14 - (f - (-730)/(-420)) and -109/6.
42
Let x = 264 - 262. Suppose 0 = -x*b + 14 + 10. Calculate the least common multiple of (-1)/(-1)*(-3 + 33) and b.
60
Let x be 11/(-33) - 32/3. Let m = x - 13. What is the smallest common multiple of 10 and m/16*(-24)/9?
20
Suppose -48 = 13*k + 3*k. Calculate the lowest common multiple of k/(-9)*132/4 and 38.
418
What is the common denominator of 53/2610 and ((-1)/(-20))/(((-58)/3)/(12700/(-225)))?
2610
Let q be (-2 - (1 - 140)) + 2. Let t = q - 203/2. Let b = 1290/17 - 35355/476. Calculate the common denominator of t a