684488423/18051. Let h = -306930917 - t. Let b = h - 20/547. Find the common denominator of b and -47/21.
231
Let h = -8 + 19. Suppose -9*r = -h*r. Calculate the common denominator of -65/4 and 3 + -4 - (r - -15).
4
Let t = 5362817/40320288 - -9/93334. What is the common denominator of 151/1200 and t?
21600
What is the common denominator of (-4884)/(-29916) - (-8)/(-36) and 43/45?
12465
Let c = -97 + 99. Suppose -2*o + 5*k = -5*o - 19, -4*o = 2*k + c. Calculate the smallest common multiple of ((-330)/10)/(6/(-8)) and o.
44
Let m(h) = -2*h**3 - 18*h**2 - 60*h + 132. What is the smallest common multiple of m(-9) and 2464?
7392
Suppose 116 = 5*y + 29*y - 5*y. Calculate the smallest common multiple of 18 and y.
36
Let t(z) = -15 + 15 - 3*z + 6*z**2. Calculate the common denominator of (750/440)/((-3)/8) and t(2).
11
Suppose -3*x + 30 = -48. Suppose -11*j - x + 114 = 0. Calculate the smallest common multiple of j and (3/2)/((-1)/2) + 15.
24
Let o(h) = -h + 45. Let c be o(-25). Suppose -30 = c*a - 75*a. What is the least common multiple of 20 and a?
60
Let f be 1321941/33 - ((-32)/44)/4. Let o = -2243187/56 + f. Find the common denominator of o and 14/5.
280
Suppose 20 = 2*r + 3*y, 5*r + 3*y = 2*r + 36. What is the lowest common multiple of r and 1/8 - 13065/(-312)?
336
Let b(h) = h**2 - 16*h + 42. Let y be b(13). Suppose y*k = 5*w - 97, 36 = 5*w + 5*k - 69. Calculate the least common multiple of w and (3*-12)/(0 - 1).
180
Let h(k) = -k**3 - 4*k**2 - 6*k - 9. Let b be (-2510)/35 - 2/7. What is the smallest common multiple of b/16*(-4)/6 and h(-4)?
15
Suppose -2*i - 65 = -15*i. Suppose -44 = -4*c + d - 2*d, 0 = -i*c - d + 54. What is the least common multiple of c and 4*-2*1*-1?
40
Let a = 114 - 110. Suppose a*z - 19 = 29. Calculate the common denominator of 77/36 and (-159)/48 - 9/z.
144
Let c be 20/6 + 14/21 + 76. Let m = -52 + c. Calculate the lowest common multiple of m and 100.
700
Let x = 3/82 + 590/123. Let y be (-7 - (-104)/16)/(1/(-6)). Suppose 0 = -0*k + y*k - 5*s - 56, 5*s = -4*k + 28. What is the common denominator of k and x?
6
Find the common denominator of (-579)/18 + 10 - 9/3 and 55/84.
84
Let l = -71844 - -401267/6. Let f = l + 4951. Find the common denominator of 83/2 and f.
6
Let r be 2*((3 - 3) + 2). Let k be -4 - r - 3 - 4. What is the lowest common multiple of (2 - k/6)*2 and 1?
9
Let h(u) = 6*u - 20. Suppose -328 = 5*p - 4*v, 0*p + 3*p + 196 = 2*v. Let o = -58 - p. Calculate the lowest common multiple of 8 and h(o).
16
Let g be 37 + -3 - 0/(-4). Let k = g - -96. Let y = k - 108. Calculate the least common multiple of y and 6.
66
Suppose -4*z = 3*f - 2097, 1164 + 413 = 3*z - 2*f. Calculate the common denominator of -19/20 and (11/((-220)/z))/((-6)/4).
20
Let j = -127 - -130. What is the common denominator of -145/18 and ((-35)/(-56))/(j/100)?
18
Suppose 3*c - 23 + 8 = 0. Suppose -15 = -3*k - 8*w + 5*w, 0 = -2*k + c*w - 4. Suppose 0*g - 6 = -g. What is the smallest common multiple of k and g?
6
What is the common denominator of 37/1343 and 39/(-130)*(-8 + (-7279)/(-948))?
10744
What is the lowest common multiple of 180 and 4658/2 + (55 + -21 - 23)?
2340
Suppose -2*j + b = 13, 3*b - 1 = -j + b. Suppose -67*c - 22*c = -623. What is the lowest common multiple of 15/6*(-58)/j and c?
203
Let z(a) = -6 + 7*a + 2*a**2 - 9*a**2 + 4 - a**3 - 3. Suppose 4*o + 0*o = -32. Calculate the lowest common multiple of z(o) and 11.
33
Let p be ((-546)/(-28))/(5/240). Let t = p + -932. What is the least common multiple of t and 14?
28
Let w be (25/10)/(15/6). Let c be (2/w)/(-2) + 8 + -3. What is the common denominator of (-57)/42 + 3/(21/c) and -69/2?
14
Let n be 21/84 - (-2)/(-8). Suppose 2*y - 2*h - 226 = 0, 2*y = -n*h + 5*h + 229. Calculate the common denominator of (-10)/(-2) - 1480/y and -107/20.
140
Let j = 67130 - 334573/5. Let c be (294/(-16))/(1/12). Let g = c + j. Calculate the common denominator of g and -53/132.
660
Let h be (-7633341)/30*(-9)/(-1656126). Let n = -6/10223 + h. What is the common denominator of n and -1/21?
420
Let q = 12903 + -12891. Calculate the least common multiple of q and 3084.
3084
Let m be (-2 + 2242)/(6/(-4)). Let r = m - -1481. Calculate the common denominator of r and (-6)/14 - (4080/42)/17.
21
Suppose -2*a + 7 - 3 = 4*t, -3*a = 3*t. Find the common denominator of 102/(-18) + (-3 - t) and 1/(-6)*2/9.
27
Let h = -1944 - -1950. Let g = 2 - -1. Calculate the smallest common multiple of h and g/(10/(-16) - -1).
24
Let h(f) = -f**3 - 44*f**2 - 53*f + 210. Calculate the lowest common multiple of h(-43) and 480.
1920
Let s be 3 + 23696/(-7140) - -2. Let l = 80/357 - s. Calculate the common denominator of l and 79/20.
140
Suppose 25*i - 8*i - 4335 = 0. Calculate the common denominator of (i/30)/((-1)/(7/(-10))) and 103/546.
5460
Let c(l) = -l**3 + 53*l**2 - 443*l - 782. Let y(a) = -a**3 - 4*a**2 - 4*a - 4. What is the lowest common multiple of c(42) and y(-4)?
48
Let u = 2324 + -1868. Calculate the smallest common multiple of u and 9.
1368
Let m(d) = -d**2 - 6*d - 286. Let u be m(0). Let v = 287 + u. Calculate the smallest common multiple of v and 8.
8
Let z = -23611/20 - -4681/4. Calculate the common denominator of z and 151/4758.
23790
Let v(i) = -i**3 + 6*i**2 + 4*i - 29. Let j be v(7). What is the least common multiple of 10 and (-72)/(-20)*(j/15 + 5)?
30
Let f = -207510 + 90059413/434. Find the common denominator of f and 27/52.
11284
Let p = -96001 + 171457791/1786. Calculate the common denominator of -45/8 and p.
7144
What is the common denominator of (-2278)/2100 - (-39)/(117/3) and 43/7000?
21000
Let j be 112/(-28)*(-1 - 0). Suppose -2*d - 192 = j*d. Calculate the common denominator of (-1 + (-52)/d)/(2/(-6)) and 29/32.
32
Suppose -33*o = -36*o - 72. What is the least common multiple of 81 and (69/(-46))/(1/o)?
324
Let h(t) = 2*t**3 - 34*t**2 + 7. Let j be h(17). Suppose 0*z + j*z - 14 = 0. Suppose -2*k = -6*k + 8. Calculate the least common multiple of k and z.
2
Suppose 0 = 5*g - v - 226, 4*v - 20 = -g + 21. Let o = -2 - -2. Suppose o*c = -9*c + g. What is the smallest common multiple of 7 and c?
35
Let z(u) = -u + 1. Let s(p) = -24*p - 8. Let n(l) = -s(l) + 20*z(l). Let g be n(-10). What is the least common multiple of 0 - (g + 0 - -3) and 6?
18
Let z(c) = 44*c - 73. Let y be z(7). Find the common denominator of y/45*(-9)/(-114) and 77/4.
228
Let t = 183 - 162. Let d(k) = 10 - 14*k + k**2 - 4 + 9*k. What is the least common multiple of t and d(6)?
84
Suppose 1490147 = -2*t + 25*t. Let w = 3109981/48 - t. Find the common denominator of w and -59/10.
240
Let w = -2062 - -2644. What is the smallest common multiple of w and 7?
4074
Let o(l) = -2*l - 32. Let u be o(-10). Let m be u/8 - 3/(-6). Find the common denominator of 1010/(-20)*m/(-7) and 93/2.
14
Let x(a) = -645*a - 24. Let h be x(4). Let f = h + 6400. What is the common denominator of f/792 + (6/11)/(-3) and 9/40?
360
Suppose 0 = 22*v - 1767 + 535. Suppose -13*p + v = -6*p. What is the lowest common multiple of p and 108?
216
Let x = 58505 + -20125817/344. Calculate the common denominator of -45/86 and x.
344
Suppose 0 = 4*g - 12, -5484 = 3*f - 0*f - g. Let b be ((-1516)/(-30))/(1 - 298/290). Let a = b - f. What is the common denominator of -61/10 and a?
30
Let d = 511697/6 + -84884. Let f(j) = -5*j**3 - 11*j**2 - 7*j + 9. Let o be f(-5). Let x = o - d. What is the common denominator of x and -21/5?
30
Let p(f) = -6*f**2 - 11*f + 24. Let s(n) = n + 2*n**3 - 4 - 4*n**2 - 2 + 3. Calculate the smallest common multiple of s(3) and p(-2).
198
Let u be 30/(-24) + 34941/32. Let g = -1091 + u. What is the common denominator of g and (12/280)/(6/355)?
224
Let o be 4820*2/2*23/(-46). Let n = -701727 - -3496542/5. Let f = o - n. Calculate the common denominator of f and 8/7.
35
What is the common denominator of (2/(-11) + (-83623)/(-7480) + -11)*-2 and 53/187?
3740
Let h = 261 + -228. Let a be 2/(-7) - (-231)/(-49). Calculate the lowest common multiple of h and 3 + (-6)/3 - a.
66
Suppose 0 = 3*r + 2*x - 17, -28 = -4*r + 13*x - 17*x. Let m be 78/(-12) - (-6)/4. Calculate the smallest common multiple of ((-4)/m)/((-6)/(-30)) and r.
12
Let z = -3237 + 3930. Calculate the lowest common multiple of z and 77.
693
Let l be (586/12)/(5/(-2617)). Suppose -2*q + 3*b =