556
Let g = -92 + 104. Calculate the least common multiple of (64/(-160))/(2/20) + 67 and g.
252
Let h(p) = -29*p + 1716. What is the lowest common multiple of h(58) and 136?
136
Let c(k) = -k**2 - 7*k + 22. Let u be c(-9). Calculate the common denominator of 4 - (u + 380/64) and 63/20.
80
Let r = -25935431/336 + 77189. What is the common denominator of r and 31/3?
336
Suppose 27*c + 493 + 884 = 0. Calculate the lowest common multiple of 8 and (-5 + (2 - -2))*c.
408
What is the lowest common multiple of (-38)/(-57)*(2/(-12)*-57 - -1) and 1 - (-34 - (0 - -2))?
259
Let x = -1618 - -19405/12. Let g(f) = -560*f**2 + 7*f - 8. Let z be g(6). Let k = 482875/24 + z. Find the common denominator of x and k.
24
Let t(o) = 6*o**3 + 5*o**2 - 2*o + 5. Let p be t(6). Let w be (1 - 0)*p - 0. Find the common denominator of 123/10 and w/130 - 2/(-4).
10
Suppose -d = -2*a + 33, d + 2*d - 13 = -a. Suppose 0 = b + 7*b + 664. Let p = b - -97. Calculate the smallest common multiple of a and p.
112
Suppose -89*v - 84 = -77*v. What is the lowest common multiple of 77 and (-6 - 42/v) + (118 - -3)?
847
Suppose 3*c - 2*l + 6 = -8, -2 = c + 2*l. Suppose 2*m + 6 = 0, 1 = -5*v - 3*m - 3. Find the common denominator of 77/45 and v/24*238 - 2/c.
180
Let g be 37866/16*66/(-27). Let u = -5781 - g. Let x = 88277/22 + -4011. Calculate the common denominator of u and x.
132
Find the common denominator of -4 - -2 - 802/5*144/(-6912) and 89/8.
120
Suppose -3*g + 219 = -2*a, 2*a - 7*a - 536 = 4*g. What is the common denominator of 143/24 and 3 + (68/a - 2)?
216
What is the lowest common multiple of 6744 and 5 - (11 - (1 + 9))?
6744
Let y(m) be the first derivative of -m**2 + 12*m - 9. Let h(j) = -j**2 - 7*j - 3. Let i be h(-7). Calculate the least common multiple of 14 and y(i).
126
Suppose -8*q = -11*q + 24. Suppose -22 = -2*g + 2*r - 0*r, 4*r = -3*g - 2. What is the smallest common multiple of g and q?
24
Let j be (-20)/(-170) - 88556/(-40290). Let k = -33/79 - j. Calculate the common denominator of k and ((-1744)/(-96))/((-2)/2).
30
Calculate the common denominator of 5/14 and (-1)/(-4) - (-443)/(-980).
490
Let a be -10 - -3 - (2 + -1). Calculate the common denominator of -6 + 12 - 3/a and -13/20.
40
Let s be (-3 - 75)*(-4)/(-3). Let h = -52 - s. Let c(w) = -6*w**2 - 325*w + 1713. Calculate the least common multiple of h and c(-59).
52
What is the common denominator of (-10)/(-4)*(-56)/510 + -1 and (-644)/1104 - (-6)/(-8)?
51
Let j be (-5)/((-55)/42) + 122/671. Calculate the common denominator of ((-13)/(-2))/((-34)/8) and ((-776)/(-40) - 7)/(j/(-5)).
34
What is the least common multiple of 2423 and 1/((-319)/(-990) - 6/27)?
24230
Suppose -x + 25 - 55 = 0. Calculate the common denominator of 5 - ((-119)/x + (-35)/70) and 16/441.
2205
Suppose 7*r - 872 = 5*r + 4*d, 2*d - 4 = 0. What is the lowest common multiple of 60 and r?
1320
Calculate the common denominator of ((-17433)/(-9477))/((-8)/(-6)) and -91/345.
12420
What is the common denominator of 8/(840/621) - 14/2 and -97/560?
560
What is the common denominator of (4/(-2))/(105/(-44)) and (0 - 120/198) + (-1)/(-5)?
1155
Suppose 334*w - 301*w - 4620 = 0. What is the lowest common multiple of w and 126?
1260
Suppose 0 = -74*b + 75*b - 7. Suppose -b*j = 3*m - 5*j - 155, -j = -5*m + 241. What is the lowest common multiple of m and 14?
98
Calculate the lowest common multiple of (-3)/6*-20*(-624)/(-195) and 4.
32
What is the least common multiple of 317 and (50/(-75))/((-28)/126)?
951
Let u(l) = -l + 1. Suppose 188832 - 189120 = -24*z. What is the least common multiple of z and u(-2)?
12
Let n = -10458 + 10566. What is the least common multiple of n and 180?
540
What is the common denominator of 23030/(-39780) - (-8)/(-68) and (-18)/(-7) - (-4 + 13/3)?
1638
Let c(p) = 7*p**2 + 25 + 0*p + 7*p - 15*p - 3*p. Let j(n) = 3*n**2 - 5*n + 12. Let b(a) = -2*c(a) + 5*j(a). What is the lowest common multiple of 6 and b(5)?
60
Calculate the common denominator of 39 + (-3410)/88 + 1*397/(-1584) and -85/24.
1584
Let t = -16073 - -16205. Calculate the least common multiple of 82 and t.
5412
Suppose y + 3*l = -80 + 124, y = 4*l + 44. What is the least common multiple of y and 8756?
8756
Let y(l) be the first derivative of l**3/3 + 11*l**2/2 + 10*l - 5. Let x be y(-8). What is the least common multiple of 8 and 21/x*66/(-9)?
88
What is the lowest common multiple of 40/(-3)*(-402)/670 and 555?
4440
Suppose -3*y - 24 = -7*y. Suppose -2*t - 22 = -l, -2*t = -y*l + l + 150. Suppose -i = 4*w - l, 1 = w - i - 2. What is the smallest common multiple of 9 and w?
63
Let g(d) be the second derivative of d**5/20 - d**4/12 - d**3/6 - 6*d**2 - 6*d. Let v be g(0). What is the lowest common multiple of 1 and 9/(-9) - (v - 0)?
11
Suppose -5*f = 4*m - 36, 14*m = 15*m + 5*f - 24. What is the smallest common multiple of m and 22691?
90764
Suppose -181*x + 42*x - 17332 = -71542. Calculate the smallest common multiple of x and 25.
1950
Suppose 5*s = -4*g + 354, 0 = -s - 2*g + 4*g + 82. Calculate the common denominator of 74/(-20) - (-6)/(-15) and s/(-560) - 17/119.
40
Let l = -4173 + 5293. Calculate the least common multiple of 616 and l.
12320
Suppose 3*u + 3*m - 108 = 15, 4*u + 5*m = 169. Calculate the lowest common multiple of 1104 and u.
3312
Suppose 7*r - 27 - 113 = 0. What is the lowest common multiple of r and (-2)/((-2)/3) + 173 + 4?
180
Let l = 22/14585 + 2105849/5950680. Calculate the common denominator of 53/24 and l.
408
Let f = 8 + 0. What is the common denominator of (-4)/f - 93/(-8) and (7 + 1617/(-105))/((-8)/(-30))?
8
Let n(u) = 2*u - 24. Suppose -5*a = 0, 2*p - 72 = 4*p - a. Let r = p - -50. Calculate the smallest common multiple of n(r) and 2.
4
Let r = 61 - 57. Let z be 291*((-11)/3 + r). Suppose 79 = 5*n - 2*f, 3*f = 5*n - z + 21. Calculate the lowest common multiple of 11 and n.
187
Let b = 1/63231 + 3561763/15807750. Calculate the common denominator of 67/225 and b.
2250
Suppose 0*l = 9*l + 108. Let r be (l/18)/((-4)/396). Find the common denominator of ((-3)/2)/(r/(-18)) and -23/68.
748
Find the common denominator of -32/1353 and -11 + 3 - 3*43749/(-16605).
6765
Suppose -4*c = -5*c + 5. Let z(b) = 11 + 67*b**2 - 12*b + 17 - 65*b**2. Calculate the least common multiple of z(c) and 27.
54
Let w = 18 + -58. Let j be (-104)/(-10) + (-4)/w*6. Suppose -3*n - j + 83 = 4*t, 5*t - 115 = -5*n. Calculate the smallest common multiple of n and 3.
60
What is the common denominator of 31/13 and (1 - (-17)/((-425)/580))/2?
130
Let j be (-15)/3 - 357/216. Let k be 17/(-8) + 18/(-6). Let f = k - j. Calculate the common denominator of f and 37/8.
72
Suppose -3*d = x + 282, 2*x - 4*d = -264 - 320. What is the common denominator of (26/x - 0) + (-86)/387 and -71/48?
48
Let q(h) = 2*h**2 - 12*h + 21. Let g(w) = w**2 - 6*w + 11. Let u(k) = 11*g(k) - 6*q(k). Suppose 4*v - 18 = v. What is the least common multiple of u(3) and v?
12
Let a = -285/1016 + 89417/374904. Find the common denominator of a and -23/2214.
2214
Let u = 9138 - 2412415/264. What is the common denominator of -31/208 and u?
6864
Let q = -21525 + 21725. Calculate the lowest common multiple of 39 and q.
7800
Let z be (-42)/28*(2 - 0). Calculate the common denominator of 38/18 - (z/(-9) + 1) and 11/42.
126
Let p(h) = 2183*h + 345. What is the smallest common multiple of p(5) and 20?
11260
Let w = -6075 + 6081. Suppose -4*v - v - 5 = 0. Calculate the lowest common multiple of v + -1 - (-5)/(10/w) and 12.
12
Let y = -2953571/390 - -22720/3. Find the common denominator of -65/14 and y.
2730
Let p = 121 + -114. What is the lowest common multiple of p*1/28*152 and 4?
76
What is the smallest common multiple of ((-35)/20)/(4 - (-85)/(-20)) and 536?
3752
Find the common denominator of (-20 - -22) + 1058/(-510) and 65/102.
510
Let u = -63 + 102. Let s = -36 - -32. Calculate the common denominator of (-13)/u + (-34)/s and -41/16.
48
Let h(i) = 10*i + 25. Let z(u) = u**3 + 6*u**2 + 7*u + 4. Let n be z(-5). Let c be h(n). Let b = 47 + c. What is the smallest common multiple of 4 and b?
12
Let k = -432895/12 - -9377567/260. Let h be (-1 - 244/(-156))*6. Let g = k + h. What is the common denominator of g and -47/15?
30
What is the common denominator of (72/(-432))/(25/(-1845)) and 83/2214?
11070
Let q = 4196 + -5978. L