
Let o(q) = 272*q**2 - 2*q - 1. Let n be o(3). Let u = 24529/10 - n. Calculate the common denominator of u and (-48)/(-8) + -4 - ((-4155)/(-350) - 10).
70
Let a = 6535/276 - 788/23. What is the common denominator of 181/30 and a?
60
Let t = -393630000 + 5695432467692/14469. Let h = t - -35/318. What is the common denominator of h and 29/14?
182
Suppose 2*y + 2554 = r, -1376*y - 5083 = -2*r - 1377*y. What is the least common multiple of r and 1908?
7632
Suppose 12*r - 7*r = 0. Suppose -3*w = p - 31, r = 2*w - 7*w + 5. Calculate the lowest common multiple of p and 70.
140
What is the common denominator of 3804/9552 - (-1)/(-32)*8 and 31/8?
1592
Let a(t) = 5*t**3 + 21*t**2 + 5*t + 11. What is the smallest common multiple of a(-4) and 14?
14
Suppose -74*b = -65*b - 5607. Find the common denominator of b/350*2/(-4) and -81/10.
100
Suppose 9 = -3*s - 4*o + 73, -o + 4 = 0. Let y(w) = 5*w + 28. Let a be y(s). What is the common denominator of 6 + -3 + 111/a + -2 and -89/28?
252
Let c(n) = -2*n**2 - 14*n + 60. Let g be c(7). Calculate the least common multiple of 153 and g/(-24) + -6 + (-84)/(-9).
153
Find the common denominator of (-226)/(-791) + (-2 - 1077/(-126)) and 17/60.
60
Let l(i) = 2*i**2 - 155*i - 397. Calculate the smallest common multiple of 103 and l(80).
309
Calculate the common denominator of (1/(33/(-48)))/((-372)/682) and 5/1019.
3057
Let r = -27833773/266 + 104638. Calculate the common denominator of -87/166 and r.
22078
Let l be (7/28)/((-1)/(-16)). Suppose -w + 5 - 41 = -3*c, 0 = 2*c - l*w - 34. What is the smallest common multiple of 5/((-3)/(-2) + -1) and c?
110
Let i = -337 + 225. What is the smallest common multiple of 24 and (-2 + 68/16)/((-14)/i)?
72
Suppose 2*w - 2 = 444. Let m = w - 159. Calculate the least common multiple of (-1)/(1 - 5/4) and m.
64
Let u(a) = -a**3 + 32*a**2 + 31*a + 113. Let w be u(33). Suppose -133 - w = -18*d. Calculate the smallest common multiple of d and 14.
70
Find the common denominator of 29/1596 and (-31)/(388864/2848) + 1 + -1.
22344
Find the common denominator of (57/(-33))/((-57120)/(-833)) and 29/3840.
42240
Let b be (-6)/(2*((-1701)/564 + 3)). Let r = 396 - b. Calculate the lowest common multiple of r and 16.
208
Suppose 0 = 57*o + 5809 - 33625. What is the smallest common multiple of 366 and o?
1464
Suppose 50*d - 46*d - 74888 = 0. Let y be d/(-15) - -4*2/(-40). Let i = 1229 + y. Calculate the common denominator of i and -43/2.
6
Let k = 3 + 13. Suppose -61*x + 1170 = -7*x - 2070. What is the smallest common multiple of k and x?
240
Let x = -61/2 - -27. Let d = -46004/3 - -14836. Let l = d + 484. Find the common denominator of l and x.
6
Let j(o) = -46*o**3 + 8*o**2 - 3*o + 18. Let w be j(-7). Let z = w - 1361471/84. Find the common denominator of -49/15 and z.
420
Suppose -2*q + 12 = 6. Suppose t + 16 = -x - t, 2*x - q*t + 39 = 0. Calculate the common denominator of ((-6)/x)/((-416)/(-140) + -3) and -4/21.
21
Let d be 6 + -6*30/(-3). Let j = -12156 - -243173/20. What is the common denominator of j and -1 + 5 + d/8?
20
Let f(n) = 36*n. What is the lowest common multiple of f(5) and 360?
360
Let d be 6/(-1545)*75/9. Let t be (-1199)/(-618)*140/(-50). Let c = d - t. What is the common denominator of c and 40/3?
15
Suppose 17*k - 512 = -672 + 398. Suppose -3*g = -3, 4*c + 5*g = 19 + 298. What is the smallest common multiple of c and k?
546
Find the common denominator of 101/2 and 48224/(-41280) + (-8)/(-6).
430
Let c be (2*-7)/(4/1582). Let r = 77425/14 + c. What is the common denominator of r and 7 + (-8)/(-2320)*695 + -9?
406
Let o = -1625 + 8159/5. Calculate the common denominator of o and -62/9849.
49245
Suppose 4*r = 1301 + 523. Let p be 1369/r + 87/(-29). Let b = p + -4903/456. What is the common denominator of b and 13/166?
332
Let c be (-4 - (-91)/39)*(0 - 3). Suppose -9*i + 13*i = 3*t + 186, 0 = -2*i - c*t + 106. Calculate the smallest common multiple of 9 and i.
144
Let x = 43413923 + -1519588339/35. Let k = -2888 - x. Find the common denominator of k and 37/9.
315
Let s = -17674/3 + 2615809/444. Find the common denominator of s and 31/18.
1332
Suppose 0 = 14*y - 7*y - 147. Calculate the lowest common multiple of ((-98)/56 + 4)/((-3)/(-8)) and y.
42
Calculate the common denominator of 41/16 and ((-3)/(-2))/(13041/(-8487)).
336
Suppose 4*b + 0*j = -2*j, 2*b - 4*j - 10 = 0. What is the smallest common multiple of 5 + (b/2)/(9/(-36)) and 2?
6
Suppose 5*w + 389 = 59. Let h = w + 70. Suppose 2*m - h*m + 16 = j, 4*j = m + 10. What is the lowest common multiple of 2 and m?
6
Suppose 0*m - 3*d = 2*m + 30, 0 = -3*m + d - 23. Find the common denominator of 24/5 and (-63)/(-118)*(-12)/m.
295
Suppose 3*x + 3 + 1 = 5*q, 2*x - 2 = q. Let l be q/9*27/2088. Let a = l + 2521/696. Calculate the common denominator of a and -55/2.
8
Find the common denominator of -49/24 and 3*3/54 + ((-107140)/(-27840))/(-11).
1392
Let g(v) = -87*v - 80. Let f be g(-6). Let q = f + -430. Calculate the least common multiple of 3 and q.
12
Let r be -5 - -9 - 4 - (-26610)/7304. Let k = r - 93/83. What is the common denominator of -87/76 and k?
836
Find the common denominator of -23/20 and (-15)/84*(15 + -6 + 41091/(-4545)).
42420
Let c(l) = -l**3 + 88*l**2 + 476*l + 243. Calculate the smallest common multiple of 92 and c(93).
58236
Let z be (30548/(-280))/(3/(-189)). Let j = z + -6880. What is the common denominator of 2/(-4) - (-46)/(-32) and j?
80
Let w = 5833/8040 - -20/201. Calculate the common denominator of w and 57/230.
920
Suppose 36*h + 115911 = 117*h. What is the lowest common multiple of h and 2703?
24327
Calculate the lowest common multiple of 285/((-490)/(-56) + -8) and 5.
380
Let n(q) = -2*q**2 + 14*q - 16. Let b be n(8). Let m = b + 36. Suppose 2*u - m = -0. What is the least common multiple of 12 and u?
12
Let w = 979641008941/4524 - 216543102. Let n = -3/377 + w. Find the common denominator of n and -193/210.
420
Let r = 219637927/20 + -10989538. Let d = 7638 + r. What is the common denominator of d and -79/90?
180
Let n = 2082 + -690. Find the common denominator of -2 - n/(-990)*5/6 and 41/99.
99
Let n = 19420 - 3126603/161. Let s = n + -13535/7728. Find the common denominator of s and -121/24.
48
Calculate the common denominator of 27/612*3694/45 + (-56)/14 and -2/17.
510
Let g = 114 - 34. Suppose 5*n + 95 = 5*x, 4*x - 22*n + 21*n = 91. Calculate the least common multiple of g and x.
240
Let j = 304 + -139. Suppose 5*o = -2*w - 2*w + j, -5*o = 3*w - 165. Suppose 0 = -3*z + o - 9. Calculate the smallest common multiple of z and 10.
40
Let d = -3/4915190 - 15244461119/1091172180. Let n = -372/37 - d. Find the common denominator of n and 53/662.
3972
Suppose 3*i = -13*i + 288. Suppose i*n - 143 = 37. Calculate the least common multiple of n and (-1 - -3)*(3 + 1).
40
Let g = 2/12341 + 456513/641732. Suppose -5*c + 51100 = -0*c. Let o = -143145/14 + c. Find the common denominator of o and g.
364
Let p(k) be the second derivative of 2*k**3/3 + 6*k**2 + k + 42. Calculate the smallest common multiple of p(25) and 40.
560
Let y = -3916 + 27046/7. Let d = y + 1051/21. Let p = 6168 - 73999/12. What is the common denominator of d and p?
84
What is the smallest common multiple of 8 and ((-5)/(-2))/((-420)/48) - 1087/(-7)?
1240
Suppose -4*z = -4*s + 783 - 91, 15 = -5*z. Let m = -1461/8 + s. Find the common denominator of m and -2/135.
1080
Let w = -9961 + 79789/8. Let y = 26244 - 1154803/44. What is the common denominator of y and w?
88
Suppose -5*z - 20 = -0*z. Let d be z/6*(-546)/4. Calculate the least common multiple of d/26*22/7 and 10.
110
Find the common denominator of 70/(-180)*92/28 and -1/32492.
292428
Let n(s) = s**3 + 19*s**2 + 20*s + 37. Let r be n(-18). Let q(l) = l**2 + 8*l - 12. Calculate the lowest common multiple of q(-10) and (r - 0)/(2/44*2).
88
Find the common denominator of -6 - 8916/(-672) - (-14)/(-2) and -113/1310.
36680
Let t = 232597/1666 + -2392/17. Find the common denominator of 163/42 and t.
294
Suppose -5*d = 5*g - 135, 0 = g - 27*d + 29*d - 26. Find the common denominator of (860/140)/(696/g) and 89/20.
1740
Let i be -5 + (-3 + 37)/2. Suppose i*z - 30 = 2*z. Suppose 2*c - 216 = -5*j, -z*j - 171 = -7*j - c. What is the smallest common multiple of 15 and j?
210
Let k = 6394/33 - 57632