Let t(n) = 52*n + 219. Find the common denominator of t(-4) and 65/4.
4
Let x = 5921828 - 1077724705/182. Let j = x - 3336/13. What is the common denominator of j and -37/24?
168
Let y(l) = l**3 + 5*l**2 + 6*l + 5. Let w be y(-5). Let r = w - -19. Calculate the least common multiple of (1 - 3)/(5 + r) and 7.
14
Let q = 5835/7 - 355634/427. What is the common denominator of -7/31 and q?
1891
Let w(l) = l**2 - 26*l + 72. What is the least common multiple of -48*(0 - 4/3) and w(23)?
192
Suppose -5*o - 2*r + 55 = -4*o, 0 = -3*o + 4*r + 135. Calculate the lowest common multiple of o and 21.
147
Let k = 174/11 - 1183/88. Find the common denominator of k and 15/(-4) - 18/24.
8
Find the common denominator of 43 and ((-34)/11526 - 0/(-2))*21.
113
Let y be ((-2)/(-4))/((-2)/(-422)). Let b = 685/6 - y. Let d = -176/3 + 572/9. What is the common denominator of b and d?
9
Suppose 69 = 24*w - 171. Calculate the lowest common multiple of 90 and w.
90
Suppose -7*h + 267 = 78. Calculate the least common multiple of 9 and h.
27
Suppose k + 8 = m - 4, 4*m + 4*k - 64 = 0. Let y be (-2)/3 - m/(-21). Suppose y = -5*c + 48 - 8. Calculate the least common multiple of c and 3.
24
Suppose 2*t + o + 31 = 0, 0*t + 3 = -t + 2*o. Let h = -51 + 28. Let m = t - h. Calculate the smallest common multiple of m and 5.
10
Let o = -332 - -337. Let j(v) = 12*v**3 - 2*v**2 + 1. Calculate the lowest common multiple of o and j(1).
55
Let r(m) = 13*m - 88. What is the least common multiple of r(19) and 33?
1749
Suppose -56 = -5*s - 21. Suppose -90 = -s*r + 2*r. What is the least common multiple of 4 and r?
36
Let g(q) = -q**2 - 4*q. Let f be g(-2). Suppose 7*u - f*u = 2*s + 7, 0 = 3*u + 5*s + 7. Calculate the least common multiple of 6 and u.
6
Suppose 0*t = 6*t - 42. Suppose 6*w - t*w = -2. Suppose 5*v = w*v + 30. What is the smallest common multiple of v and 10?
10
Let i = 504 + -1969/4. What is the common denominator of -47/28 and i?
28
Suppose -310*l = -291*l - 38. Let q(x) = 2*x**3 + x**2 + 2*x - 2. Let z = 7 - 5. What is the lowest common multiple of l and q(z)?
22
Let o = -115 - -136. Calculate the smallest common multiple of 14 and o.
42
Let b(u) = 13*u - 147. Calculate the lowest common multiple of b(12) and 12.
36
Let u = -103 - -43. What is the lowest common multiple of (1 - 2)/((-295)/u - 5) and 32?
96
Let p = -104523 + 18396137/176. What is the common denominator of 73/110 and p?
880
What is the common denominator of 7/(-14) - 3/126*142 and -3/26?
546
Let d = -9566 + 9580. What is the lowest common multiple of d and (-1 - -1) + 4*7?
28
Suppose 0 = o - 4*o - 30. Let i = 15 + o. What is the common denominator of -37/7 and (-3 + i)*43/10?
35
Suppose -4 = 7*i - 39. Suppose -i - 5 = -j. Suppose -3*p - j = -4*p. Calculate the smallest common multiple of p and 7.
70
Suppose 4*g - 18 = 3*f + 56, -4*g - 3*f + 62 = 0. Suppose g*t = 13*t + 4. Calculate the smallest common multiple of 10 and t.
10
Let b = 84 + -68. Let q = b + 2. What is the least common multiple of q and 24?
72
Let c(k) = -k**3 - 18*k**2 - 2*k - 5. Let p be c(-18). Let d = p - 19. What is the smallest common multiple of 9 and d?
36
Let j = -147 + 262. Let d = -114 + j. What is the least common multiple of d and 9?
9
Suppose -10*o = -30 - 20. Calculate the smallest common multiple of 45 and o.
45
Suppose 583 = 28*d - 1097. Let h be (-1)/(-2)*4 - -3. Suppose -4*r - h*g - 215 = -2*g, -r - d = 2*g. Find the common denominator of r and -119/6.
6
Let k = -79/13 - -1432/195. Find the common denominator of 1342/330 + 18/(-15) and k.
15
Let h = 1511 - 1391. What is the lowest common multiple of h and 216?
1080
Let f be (-3)/(1 - 152/140). Calculate the common denominator of 26/21 and 3 - 215/f - 2/6.
21
Let r(m) = -18*m. Let z be r(1). Calculate the common denominator of 9/(-27) - (-110)/z and (4/(-30))/((-8)/(-192)).
45
Let j = -11567/519 + -8/173. Find the common denominator of 15/16 and j.
48
Let o be ((-9)/6)/(9/(-60)). Suppose -u = 3*m + 1, 2*u - 2*m = -7*m - 1. What is the smallest common multiple of u and o + -5 + 6/(-3)?
6
Let o be 5/(10/(-48)) - 0. Calculate the common denominator of o/30 - 2/4 and (-884)/120 + (-2)/15.
10
Suppose 0 = -5*j + 14*j. Suppose 3 = -2*u - 3*i - 2, 5*u + 5*i + 5 = j. Calculate the lowest common multiple of u and 12.
12
Let c = -1126543/63 - -17882. Find the common denominator of c and 50/133.
1197
Find the common denominator of (-19 - -12)/((-270)/(-21)) and 11/60.
180
Let g be 18/63 + 52/14. Suppose g*i - 7 = -p, 2*p = -2*i + p + 3. What is the smallest common multiple of i and ((-18)/(-12))/((-6)/(-32))?
8
Suppose -i = -5*o, -o = 4*i + 3*o - 120. Let a = -3333/272 + 186/17. Find the common denominator of i/20 + -2 - 0 and a.
16
Suppose 0 = -12*n + 102 + 18. Let d = 43 + -25. Calculate the least common multiple of n and d.
90
Suppose -636 = -9*x + 174. Calculate the least common multiple of x and 8.
360
Let l be ((-116)/391404)/((-138)/(-919696)). Let w = -23/32617 + l. Let f = -163/23 - w. Calculate the common denominator of f and 47/6.
18
Let o be ((-2)/(-6))/(174/(-90) + 2). What is the common denominator of (-649)/55 - (-1)/o and 51/82?
410
Calculate the common denominator of 410/(-1040) - (76/32 + -2) and 97/104.
104
Let t = -1 + 9. Let v = 18 + -16. What is the smallest common multiple of t and v?
8
Find the common denominator of (-53)/265 - 7/45 and 2/105.
315
Find the common denominator of 26*5/60 + 5 and -89/8.
24
Calculate the common denominator of (83/(-2))/(0 - -5) and 8/(-20) + 403/(-780).
60
Suppose 3*q - l = 5, -1 = q - l - 2. What is the smallest common multiple of 22 and q?
22
Let w = 126239/5 - 5290343/210. Let d = w - 130/21. Calculate the common denominator of 91/4 and d.
4
Suppose -458 - 280 = 6*m. Let t = m + 131. What is the lowest common multiple of t and (-2)/4 - 19/(-2)?
72
Let v = 417 - 399. What is the smallest common multiple of 174 and v?
522
Let a = 233 + -2035/9. What is the common denominator of a and 42/5?
45
Let d(k) = 3*k + 15. Let s be d(8). Let j = s + -36. Find the common denominator of 1/j*(-12)/(-56) and -71/2.
14
Let x be (1 - (-2 - -1)) + 9 + 1. What is the lowest common multiple of 4 + (x - 12/3) and 82?
492
Let s be 88/(-14)*10/(-540). Let i = 8675/378 - s. Find the common denominator of i and (11/(-7))/((-12)/154).
6
Let n(v) = -12*v**3 - 4*v**2 + 17*v - 14. Let a be n(7). Let w = 27906365130/6626587 + -2/602417. Let r = a + w. What is the common denominator of r and -17/3?
33
Calculate the smallest common multiple of 3 - (-6)/4*(13 + 1) and 60.
120
Let k = 19/140 + 3119/1260. Find the common denominator of (-2)/12*(-186)/(-16) and k.
144
Let l be 0/(-4 + 5 - -1). Suppose 2*h - 4 - 4 = l. Suppose -28 = -h*k + 8. What is the lowest common multiple of k and 3?
9
Let d = -296 + 341. Calculate the least common multiple of d and 490.
4410
Let x = -31 - -33. Suppose 2 = -x*p + 3*p. Suppose 4*l + p*j = 1 - 25, 3*j + 28 = -4*l. What is the common denominator of l and -52/5?
5
Let f = -29 - -62. What is the least common multiple of 3 and f?
33
Let l(h) = -14*h**3 - h**2 + 2*h + 2. Let r = -6 - -5. What is the smallest common multiple of 2 and l(r)?
26
Suppose -5*r + 1 = -d + 2, r = -2*d + 13. Let j be (0 + 4/2)/1. Let a = 5 + j. What is the smallest common multiple of a and d?
42
Let g(f) = 1 + 8*f**2 + 12*f**2 + 4*f - 19*f**2. Calculate the lowest common multiple of 4 and g(2).
52
Let g be (-28)/(-6) + (-1)/(-3). Suppose -2*o - g*v = -148, 2*o - 156 = -5*v + 2*v. Calculate the common denominator of 24/o - (-361)/(-63) and 25/8.
72
Suppose -2*n = 4*i + 8, 4*n + 4 = 2*i + 3*n. Suppose i = -2*l + 28 - 0. What is the least common multiple of l and 1?
14
Let q = 270 - 240. What is the smallest common multiple of 24 and q?
120
What is the common denominator of -30/29 and -9 - ((-273)/15 + 1)?
145
Let k be (-10)/25 + 2/5. Let g be (-3)/(-6)*6*(-2)/(-3). What is the common denominator of k + (g - (-236)/56) and -1/16?
112
Calculate the common denominator of 1/(-4)*32/(-16) and -101/4.
4
Calculate the least common multiple of (0 - (-9 + -1))/1 and 21/(-18*(-10)/240).
140
What is the common denominator of 3/(-20)*1891/186 and -29/48?
240
Let i = 18 - -9. Suppose -3*v + 9 = -3*c - 6, 0 = -2*v - 4*c + 22. Calculate the smallest common multiple of v and i.
189