731/4. Suppose 0 = 5*i - 7*i + 270. What is the common denominator of (-2)/5 + (-2961)/i and y?
12
Let h = -1536 + 9281/6. What is the common denominator of 12/10*(-19)/(-8) and h?
60
Suppose 73*r - 74*r = -5*i + 1229, -3*r = -i + 257. Calculate the lowest common multiple of 70 and i.
490
Let n(k) = k. Let q(a) = 5*a - 9. Let r(m) = 2*n(m) + q(m). Let d = -4119 - -37033/9. Calculate the common denominator of r(7) and d.
9
Suppose -3*j = 5*r - 115, 0 = 4*j - 3*j + 3*r - 41. Let d = j - 2. Calculate the smallest common multiple of d and 15.
165
Let h = 349 + -259. What is the lowest common multiple of h and 36?
180
Let h = -1172/7 - -7375/42. Let p be (1641/9)/((-6640)/(-72)). Let f = -60/83 - p. Calculate the common denominator of f and h.
30
Suppose 7*d - d - 36 = 0. Let v(r) = -r**3 + 5*r**2 + 5*r + 8. Calculate the lowest common multiple of v(d) and 5.
10
Let z be (415894/(-8))/((-21)/6). Let c = z + -14860. Let i = 13722 - 439165/32. Find the common denominator of i and c.
224
Calculate the common denominator of 138/(-280) - (-128)/320 and 89/15.
420
Let b = -1879/21942 - 1/414. What is the common denominator of -88/21 and b?
1113
Let j = 357516043163/99014344770 + -45/16627094. Let d = -35/794 + j. Calculate the common denominator of d and -173/30.
30
Suppose -5*a - 2*w + 68 = 0, 4*a - 27 = 5*w + 34. Calculate the least common multiple of a and 168.
168
Suppose 2*c + c - 378 = -4*b, 3*b = 3*c - 357. Let n be (43/2)/(1/c). Let s = 10569/4 - n. Find the common denominator of s and 71/8.
8
Let h(p) = p**2 + 8*p + 10. Let g be h(-8). Suppose -m + 2*m - g = 0. What is the smallest common multiple of 12 and m?
60
Let k = 137/8 + -11/24. What is the common denominator of 45/92 and k?
276
Suppose -3*l - 246 = -2*l. Let v = -13029/7 - -287233/154. Find the common denominator of ((-4)/(-12))/((-8)/l) and v.
44
Let p(h) = 4*h**2 + 107*h - 7. What is the least common multiple of p(-27) and 3158?
31580
Let c = 5251/10 + -526. Find the common denominator of -173/30 and c.
30
Suppose 2*i - 5*a = 26, 7*a - 2*a + 17 = -i. Suppose 4*v - 2*v - 34 = -4*u, -4*v + 33 = i*u. What is the least common multiple of 4 and u?
28
Find the common denominator of 11/10 and (-18)/2 - (-220044)/24640.
560
Suppose -5*y = b - 29, -b + 3 = -3*y - 2. Let p = 19 - b. Find the common denominator of 71/(-10) + -8 + p and 79/18.
90
Let f = -1 - -4. Suppose 0 = 5*u + 20, p + 3*p + 2*u - 72 = 0. Calculate the least common multiple of p and f.
60
Let x = 4735/84 - 429/7. Let w = 5171/738 + -80/41. Calculate the common denominator of x and w.
36
What is the common denominator of -6 - ((-22)/(-99) + 1138/(-126)) and (-11)/210 + 4/14?
210
Let y = -31/3 + 65/7. What is the common denominator of (1452/24 - 9)/15 and y?
210
Let k be ((-3)/2)/(9/(-24)). Suppose -2*p = -4*d - 0*d + 40, 4*d = k*p + 48. Calculate the smallest common multiple of 1 + (-2)/((-8)/52) and d.
56
Suppose -2*z - 4*o + 6 = -7*z, 0 = z + 5*o - 22. Suppose -5*m = 5*j - 35, j + 43 = 5*j - m. What is the lowest common multiple of j and z?
10
Let t(x) = x - 7. Let w be t(10). Suppose 5*l = -5*m + 105, 5*l - w*m + 4*m = 97. What is the lowest common multiple of l and 3?
57
Suppose -u + 2 = -0*u. Suppose -u*k = -11 - 7. Calculate the lowest common multiple of (-40)/(-18) - 16/72 and k.
18
Let z(m) = -14*m + 3. Calculate the smallest common multiple of 3 and z(0).
3
Suppose -279 = -7*a - 230. Let h(f) = -f**3 - 4*f**2 + 3*f - 1. What is the least common multiple of a and h(-5)?
63
Suppose -j - 8 = -5*j. Find the common denominator of (2 - 86/4)/6 and (-2)/j - (-236)/(-48).
12
Let j(t) = -t**2 + 13*t - 8. Suppose -7*c = -9*c + 4. Suppose -c*q = -4*g + 8, -2*g - 2*g = -4*q. Calculate the smallest common multiple of g and j(10).
44
Let j = 68053487/10 - 6798743. Let n = 6616 - j. Find the common denominator of n and 31/12.
60
Let r(c) = -c**3 - 12*c**2 + 25*c + 12. Let i be r(8). Calculate the common denominator of i/(-8)*1/57 and 71/18.
342
Let z = 11 + -19. Suppose 3*w = 57 + 3. What is the least common multiple of 6/z - (-171)/36 and w?
20
Suppose -4*i = 5 - 21. Suppose v + 3*n - 17 = 0, -2*n - 2*n - 36 = -i*v. What is the lowest common multiple of -1*6/3*-2 and v?
44
Calculate the common denominator of (279/6*1)/(-3) and (-14)/140 - 34/(-10).
10
Let b = -751/15 - -201/4. What is the common denominator of -103/24 and b?
120
Calculate the common denominator of -2/11 and 972/240 + (-1)/(-5) - 5.
44
Calculate the common denominator of 625/(-220)*(-45)/75 and 23/8.
88
Let c(b) = b**2 - 7*b + 8. Let s be c(6). Let h = s - -2. Suppose -3*q - 13 = -x, 4*q - h = 6*q. What is the lowest common multiple of x and 1?
7
Let d be (-3 - -5)*4 + (5 - 9). Suppose 5*g + 3*c - 7 = -0*c, -d*c = -3*g + 10. What is the smallest common multiple of 20 and g?
20
Let k = -8 - -11. Let m = k - 0. Calculate the smallest common multiple of (-1 + (-6)/(-12))*(-15 + 1) and m.
21
Calculate the common denominator of (8/12)/(352/(-258)) and 25/8.
88
Calculate the least common multiple of 18 and 43 + 5 + -5 + 5.
144
Let s = 31239/12988 + 5/764. Calculate the common denominator of ((-61)/3 + -5)*3/36 and s.
153
Let t be 25/10 - 3/(-6). Calculate the common denominator of (-163 + -3)*t/132 and -1/10.
110
Find the common denominator of -11/120 and 40/150 + 2/(-32)*4.
120
Let o(q) = -q**3 - q**2 - 8*q - 7. Let g be o(-2). Suppose -4*w + 15 = b - g, w - 7 = b. What is the least common multiple of 3 and w?
21
Suppose 4*n - 2*n + 18 = 3*x, -4*x = -5*n - 52. Let o = n - -18. Calculate the smallest common multiple of (1*8 + 2)/1 and o.
30
Suppose -3*x - 4*k + 53 = -4, -5*k = 3*x - 60. Suppose -9*q = -3 - x. What is the lowest common multiple of 4 + 0 + 1/1 and q?
10
Let x be ((-506)/(-12))/(-11)*2 + -1. Let n = x + 1. Find the common denominator of n and 97/10.
30
Let t = -10 - -22. Let s(i) = -i**2 + 7*i + 10. Let v be s(5). Suppose 2*h - 24 = v. What is the smallest common multiple of h and t?
132
Let f = 199/36 + -205/9. Let n = -909 - -9959/11. Find the common denominator of n and f.
44
Let i(v) = 14*v - 34*v + 28 + 16*v. Calculate the smallest common multiple of 13 and i(6).
52
What is the smallest common multiple of (-480)/64*(4 - 2/6*16) and (2/(-5))/(1/(-20))?
40
Calculate the common denominator of ((-29)/3)/((-36)/108) and -68/3.
3
Suppose -5*l + l - 12 = 5*k, -2*l + 24 = -5*k. Suppose -2*p + 3 = -p. What is the smallest common multiple of l and p?
6
Suppose -17 - 1 = -3*x. Let c be ((3 - x) + -17)*13. Calculate the common denominator of 47/20 and 2 - c/(-8) - -2.
20
Let r be 12*(-3)/(-14 + 2). Suppose 0 = -3*l - r*l + 84. What is the lowest common multiple of l and 12?
84
Suppose 73 = -4*n + 3*a, -3*a - 36 = 3*n + a. What is the smallest common multiple of 2 and ((-8)/(-6))/(n/(-120))?
10
Let k(h) = h**2 + 2*h + 8. Let q(z) = z**3 + 8*z**2 + 6*z - 9. Let l be q(-7). Calculate the least common multiple of k(l) and (12 - -2)*3/6.
56
Let y(z) = -2*z**3 + 7*z**2 - 5*z + 2. Let t be y(4). Let b = 28 - t. Calculate the lowest common multiple of b and 5.
310
Let x be 2/4*(-21 + 33). Calculate the common denominator of (-81)/12 + x/4*2 and 59/28.
28
Suppose 952*k - 132 = 886*k. Let p be 5 + 2 + -1 + 0. What is the least common multiple of (6/(-4))/((-1)/p) and k?
18
Find the common denominator of ((-7)/(-54))/(12/(-36)) and (-1)/(-4) - 3/(-36)*247.
18
Suppose 0 = z - 4*c + 14, -3*z - 2*z + 5*c = -5. Let m be 2*26 + z + -9. Suppose -5*j = 9 - m. What is the least common multiple of j and 8?
8
Let y = -76 - -79. Suppose 6*v - 25 = v, -y*n = 3*v - 51. What is the least common multiple of n and 8?
24
Let i = 2 - 2. What is the common denominator of (71 - i)*(-2)/12 and 4 + (-20 - -13) + (-34)/(-4)?
6
Suppose 4 = -4*i, 82 = -5*k + 3*i - 5. Calculate the common denominator of 23/11 and (-53)/11*k/(-18).
11
Calculate the common denominator of -25/327 and (-177)/(-18) - (-2 - 3).
654
Suppose 438 = -5*w + f, f = 2*w - 5*w - 266. Let j = -82 - w. Calculate the lowest common multiple of j and 24.
24
Let o = 3149 + -37843/12. Let k = -490 + 7771/16. Calculate the common denominator of o and k.
48
Let y be 0 + (7 - (4 + -2)) - 2. Suppose -y*x - 45 = -8*x. Calculate the smallest common multiple of 12 and x.
36
Suppose -2*g = 5*q - 18, -4*q - 5*g + 26 = -q. Suppose q*i = 26 + 10