) and ((-194)/(-16))/(f/(-7))?
264
Suppose 4*p + 416 = -208. Let t be ((-19)/((-95)/(-26)))/(6/15). What is the common denominator of (11/p + (-2)/t)/(-5) and 83/21?
420
Let p = -52263/4 - -5487263/420. What is the common denominator of p and 37/16650*8565 - 16?
210
Let k = 207 + -381. Let n = -164 - k. What is the lowest common multiple of n and 6?
30
Let s = 203274 + -8338476/41. Let b = s + 208577/1968. What is the common denominator of -91/18 and b?
144
What is the common denominator of (-1)/161*(-5*(-198)/15)/2 and -127/42?
966
Find the common denominator of ((-43)/165 - (-8)/40)*(-429)/2288 and -29/30.
1320
Let g = 2203 + -169635/77. Calculate the common denominator of g and 1 + -2 - (2680/448)/(-5).
616
Suppose 3*j + 2 = 2*j. Let d = 13451 - 107581/8. Find the common denominator of d and 65/16*j/(-24).
192
Suppose -k - 5*t = -t - 51, 5*k - 180 = -5*t. Suppose 4*w - 25 - k = 0. Let a(i) = i + 30. Calculate the lowest common multiple of a(-14) and w.
112
Suppose -14*u - 10*u = 10*u - 2992. What is the least common multiple of u and 472?
5192
Suppose 4*z - 10 - 6 = 0. Suppose -2*y - 4*y = -y. Calculate the lowest common multiple of (y + (-70)/25)/(z/(-10)) and 9.
63
What is the least common multiple of 1 + -5 - (-98 + -6) and 660?
3300
Calculate the lowest common multiple of (12/150 + (-5346)/(-50) - 2) + 5 and 15.
330
Let y = 1283894 - 3838843101/2990. What is the common denominator of y and 37/20?
5980
Let k = 287 + -274. Calculate the common denominator of (k/((-4628)/(-120)))/(6/(-4)) and -73/8.
712
What is the common denominator of 143/120 and 522544/28992 - (17 + 1)?
18120
Suppose -4763*s = -4793*s + 116880. Calculate the least common multiple of s and 8.
3896
Let z be (390325/30)/(-5) + (-5 - -3). Let g = z + 2611. What is the common denominator of g and -53/132?
132
What is the common denominator of -55/104 and 654/4251*(-4)/(-50)?
2600
Let r(h) = h**3 - 396*h**2 - 406*h + 3576. Suppose -m = -3*c - 0*c + 24, -4*c - 2*m = -42. What is the lowest common multiple of c and r(397)?
9
Suppose a - 9*w - 1608 = 0, 26*a - 21*a - 8040 = w. What is the lowest common multiple of a and 30?
8040
Let y be 3994/(-7524) - 26/(-117). Let b = 5/19 + y. Calculate the common denominator of b and -37/136.
1496
What is the common denominator of -17 - (-90873)/21384*4 and 37/108?
1188
Let p = 268 - 336. Find the common denominator of (-322)/32 - (p + 61) and (-986)/704 + (-28)/(-154).
32
Let r = -10839 + 11352. Calculate the smallest common multiple of r and 270.
5130
Suppose 2*b - b - 5*t - 153 = 0, 5*b = t + 741. What is the smallest common multiple of (-1 - (-1 - 8)) + 36 and b?
1628
Let u = 146 - 142. Suppose -2*w + h + 6 = 0, 5*w + 5*h = 30 - 0. What is the least common multiple of w and u?
4
Let m = 17433 + -17369. Calculate the lowest common multiple of m and 424.
3392
Let m = -13280653/1188 - -11179. Let d = m - 1063/1485. What is the common denominator of 117/200 and d?
600
Let k = 32031 + -48526. Let d = -890849/54 - k. Find the common denominator of -25/12 and d.
108
Find the common denominator of 30/((-483)/35 + 12) and -115/8256.
8256
Suppose -1020 = -r - 2*x - 848, x = 2*r - 354. Calculate the smallest common multiple of 24 and r.
528
Let b = -1 - -4. Calculate the common denominator of (-3)/2*61/b and ((-2)/(-20)*5)/((-16)/(-172)*2).
16
Suppose -1619*a = -1599*a - 13880. Calculate the least common multiple of 11 and a.
7634
Suppose -26*i + 31*i - 10144 = -3*c, 2*c - 4*i = 6748. What is the smallest common multiple of c and 14?
23646
Calculate the common denominator of (40/(-1120))/(132/(-16))*(32 + 2) and -47/1323.
14553
Let w = -352045 + 2102761/6. Let t = w + 1589. What is the common denominator of t and 101/6?
6
Let i be 522/14 + (4/(-14) - 0). What is the common denominator of i/(-6)*(32/56)/4 and -41/5?
210
Let t(c) = -57*c - 66. Let b be t(-4). Let x = b + -633/4. Find the common denominator of x and -125/12.
12
Let p = 79 + -68. Suppose -7*z + p*z = 11072. Let d = z + -33197/12. Calculate the common denominator of d and 29.
12
Let f(n) = n**2 - 28*n + 297. What is the lowest common multiple of 370 and f(25)?
1110
Suppose -4*z = 2*j + 2*j, -4*z = -2*j - 12. Let r = 2633 - 15739/6. What is the common denominator of (208/1728)/(z/8) and r?
54
Let b = 25237 - 25171. What is the smallest common multiple of b and 5130?
56430
Let o = 45 - 41. Suppose 0*r - 24 = -4*m + o*r, -42 = -5*m + 2*r. Let p = 40 - 18. Calculate the smallest common multiple of p and m.
110
Let c = -175043/54 - -3242. What is the common denominator of 119/1800 and c?
5400
Let y = -1440837/4926328 + -24/16643. What is the common denominator of y and 33/740?
1480
Let z = -17/966 - 1826/1449. Find the common denominator of (12/10)/((-84)/(-135)) and z.
126
Let z = 4936 - 4768. Calculate the least common multiple of 140 and z.
840
Suppose 4*l - 4 = 0, 5*o - 4*l = l + 197985. Let r = -1188071/30 + o. What is the common denominator of r and ((-11)/(-60))/((-2)/28)?
30
Let k = 42385 - 42377. Suppose 2*d + 3*t = -3, 2*t - 3*t = 1. Suppose -4*b + 40 = 2*v, d*v + 116 = 5*v + 2*b. What is the lowest common multiple of v and k?
24
Suppose 0 = -5*x + 3*z + 5492, 0 = -5*x - 11*z - 3658 + 9234. What is the smallest common multiple of 342 and x?
9918
Suppose h - 16 = 44. Suppose -5*t = 2*b + 5 - 28, 4*b - 4*t - 32 = 0. Suppose 51*s = h*s - b. What is the least common multiple of 6 and s?
6
Let j = -1/3014 - 76100/10549. Calculate the common denominator of j and (2 - 4609/396) + 3/(-27).
28
What is the common denominator of 271341/(-14600) - (0 - 19) and -21/2200?
2200
Suppose 3*c = 3*w - 6, 5*c = c + 2*w - 6. Find the common denominator of (805/(-80) - 4)/((-6)/8) and ((-654)/(-48) - 6)*c/2.
16
What is the lowest common multiple of 68 and 17*(1 + 0 - -54)?
3740
Let s = -16995/7 + 2423. Find the common denominator of 11/1674 and s.
11718
Let r be 48*(2532/414 - 6). Let p = 3373/230 - r. Let c = 1210/19 - 10827/190. Calculate the common denominator of p and c.
10
Suppose -15*z + 41*z = 12272. Suppose 5*q - 497 = -z. Calculate the least common multiple of 75 and q.
75
Let v(s) = 52*s + 19. Let y be v(3). Let m = y + 95. Suppose -39*c + m = -34*c. Calculate the smallest common multiple of c and 6.
54
Let y = 75702753821571/2731361 + -27716129. Let i = y - 37539825602/24582249. Let l = 1524 + i. Find the common denominator of 34 and l.
9
Let h be 1/((-6)/351)*-2. Suppose 0 = 4*v - n + 2*n + h, 3*v = -5*n - 92. Let f = v + 47/2. Find the common denominator of f and -3/5.
10
Suppose -n - 4*h + 0*h - 18 = 0, 2*n + h - 6 = 0. What is the lowest common multiple of 6150 and n?
6150
Suppose 0 = -9*p - 278 - 226. Find the common denominator of ((-28)/5 - -2)*(-30)/8 and (-4)/p*(-4 + 285/(-3)).
14
What is the least common multiple of 7 and (-164)/5*(-200)/80 + 8?
630
Let u = -307 - -309. Suppose -11 = u*p - 23. Let o(g) = g**2 - g + 4. What is the lowest common multiple of p and o(-4)?
24
Let k = 27722 - 13112558/473. Calculate the common denominator of k and 23/215.
2365
Let u = -17831 - -17833. Calculate the least common multiple of u and 6066.
6066
Suppose -5*o - 9766 = -7*o. Let h = o + -13741. Let z = 185974/21 + h. Find the common denominator of z and -4/15.
105
Find the common denominator of 6 + 792/(-135) - 10166/72345 and -2/35.
5565
Let a = -1/31266559022 + 4773809498208373/5327540258317602. Let d = -115269 + 503610267/4369. Let n = d + a. Find the common denominator of n and 1/24.
312
Let f = -4847 + 96977/20. Let u be (2/56)/(9/11241). Let k = 87/28 - u. Find the common denominator of k and f.
20
Suppose -v = -4*c - 27, 24 = -29*c + 25*c. What is the least common multiple of 3833 and v?
11499
Let q = 4741397401/19937 + -237819. Let w be ((-6)/20)/((-239244)/1873998). Let c = w - q. Find the common denominator of c and 35/4.
20
Suppose 0 = -7*m + 3227 - 133. Calculate the least common multiple of m and 272.
3536
Let q = 133393/6405 + -3806/183. Calculate the common denominator of (662/380 - 2) + 0 and q.
1330
Suppose -2*j - 3*j - 1972 = 3*k, -k - 624 = -5*j. Find the common denominator of 16/40 + k/(-90) and (-4)/(-3) - 11/(-24).
72
Let g = 9521 + -19007/2. Calculate the common denominator of -61/795 and g.
1590
Let c(b) = -b**3 + 2*b**2 + 4*b - 1. Let t be c(3). Suppose 4*r = -4, -2