. What is the common denominator of -61/216 and x?
216
Let n be (-2 + 5)/(-16 + 17). Suppose 2*k + 4 = -2, 0 = 5*l + n*k - 81. What is the smallest common multiple of l and 24?
72
Let q(b) = b + 1 + 19*b**3 - b**2 + 8*b**2 - 8*b**2. Let p = -2 + 3. Calculate the least common multiple of 20 and q(p).
20
Suppose 150 - 170 = 5*z, 2*h = -z + 216. Calculate the least common multiple of 40 and h.
440
Suppose 9*z + 448 = 2*z. Let n be (-7 - 0)*234/(-21). Let a = z + n. Calculate the smallest common multiple of 4 and a.
28
Let d = -77532 - -14420903/186. Find the common denominator of d and -57/10.
930
Suppose 35*p + 22 = 36*p. Let d = p + -2. Let s = 40 - d. What is the smallest common multiple of 18 and s?
180
Suppose -345*z - 74 - 30 = -371*z. Calculate the lowest common multiple of z and 24.
24
Suppose -93 = -25*r - 6*r. Let c = 235 + 213. What is the least common multiple of r and c?
1344
Suppose 2*x - y + 793 = 0, -791 = -8*x + 10*x + y. Let n = -304 - x. What is the lowest common multiple of 12 and n?
276
Let y = 182657/9 - 20289. What is the common denominator of y and -61/135?
135
Let p = -108827/90 - -18166/15. Find the common denominator of 1692/(-192) + 2 + -5 + 6 and p.
720
What is the common denominator of (-2 - 4/((-64)/269))/(1581/34) and ((-43)/(-44))/((-1)/2)?
2728
Calculate the common denominator of 11/134 and -2 + (-1 - 29490/(-9648))*1.
1608
Let u be 2 + -4 - (-15)/5. Let l be 27/3 + -6 + u + -14. Calculate the common denominator of ((-1168)/(-80))/(12/l) - -2 and -52/27.
54
Let k = -43447/32 + 1357. Calculate the common denominator of -31/912 and k.
1824
Let w be (-9)/((-396)/2761) - 1/(-4). What is the common denominator of 13/118 and -60 + w + (-190)/24?
708
What is the common denominator of -26/33 and ((-3)/(282/100))/(-4 - -128 - 13)?
57387
Let l = -11167038/395 - -28271. What is the common denominator of l and 59/50?
3950
Let q(z) = -12*z + 53. Let x be q(3). What is the common denominator of 107/12 and ((-9)/6)/(-37 + x)?
120
Let g(f) = -f**3 + 6*f + 10. Let j be g(3). Find the common denominator of 35/94 and (2 + 567/(-14))/j.
94
Let w = 2996113/9039150 - 7/20087. What is the common denominator of -112*(1 - (-11)/(-10)) and w?
450
Suppose -17*d + 17978 - 859 = 0. Let x = d + -7017/7. Let p = -82/9 - -184/9. Find the common denominator of x and p.
21
Let h(z) be the first derivative of z**2/2 + 17*z - 42. What is the least common multiple of 21 and h(-7)?
210
Suppose p + 11*p + 2976 = 15*p. What is the smallest common multiple of p and 14?
6944
Let q = 96 + -40. Suppose 3*j - q - 49 = 0. Calculate the smallest common multiple of j and 15.
105
Suppose 16 = 2*n + 20. What is the common denominator of ((-3)/9)/((-2)/142) and ((-227)/4 + n)*(-18)/(-765)?
102
Find the common denominator of (3/(126/(-316)))/((30976/(-48))/4) and 113/1540.
16940
Let d(b) = 6*b**2 - 74*b + 5. Let f(w) = 13*w**2 - 149*w + 12. Let j(y) = 5*d(y) - 2*f(y). Calculate the smallest common multiple of j(18) and 75.
75
Calculate the common denominator of (-474)/869 - (1/2 + (-60598)/58058) and 3/4.
10556
Let z(u) = 13*u**2 - 1011*u - 226. Calculate the least common multiple of z(78) and 17192.
17192
Let j = 53/33 - 773/858. What is the common denominator of j and 163/84?
1092
Suppose -86*x + 381*x = -x + 54168. What is the smallest common multiple of 58 and x?
10614
Let w be -199643*(-2)/45840 - 42/(-63). Let x = 2/955 - w. Let p = -7787/1140 + 73/57. Find the common denominator of x and p.
40
Let z = -1/33225 - -208211/33225. Calculate the common denominator of z and 139/618.
3090
Let m(b) = 24*b**2 - 3*b + 15. Let s be m(-4). Let i = s + -337. Calculate the least common multiple of 16 and i.
592
Find the common denominator of 155/504 and 94/(-105)*(27/12 - 1).
504
Suppose -18 = -12*f + 6. Let c be f - 1077460/54 - (-2)/9. Let n = c + 19948. Find the common denominator of -28/27 and n.
27
Suppose 0 = 4*y - 5*f - 10, -3349*f = -3350*f + 14. Calculate the lowest common multiple of (0 - -1)/(-1) + 43 and y.
420
Let c = -14827926673/225 - -8404736752093039/127534050. Let v = 2/40487 + c. Calculate the common denominator of v and -65/32.
224
Let j(k) = -5*k + 37. Let z be j(7). Suppose s = n - 16101, -5*s = z*n + 20493 + 60012. Let m = s + 450739/28. Find the common denominator of m and 61/18.
252
Let z(w) = -191*w**3 + 3*w**2 + 23*w - 25. Let s be z(1). Let p = -38771/20 - -1938. Calculate the common denominator of p and ((-19)/s)/(((-3)/59)/(-3)).
20
Suppose -13*q + 72 = -10*q. Let l = q - 19. What is the least common multiple of -2 - (3 - l) - -12 and 10?
60
Let k = -6990943/132 + 52962. What is the common denominator of (183/8)/(-8 - -20) and k?
1056
Let f be (-102)/16*(-17)/34. Let u = -937/432 + f. Calculate the common denominator of u and 64/87.
1566
Let j = 3687835080725/6728 + -548132450. Let m = -16027 - -13478709/841. Let w = m - j. What is the common denominator of -101/4 and w?
8
Let h = -3412 + 3421. What is the lowest common multiple of h and 180?
180
Let z = 46/3 - 317/15. Find the common denominator of -79/160 and z.
160
Let w = -53/297 - -263863/2376. Let j = w + -461/4. Calculate the common denominator of j and 71/4.
8
Calculate the smallest common multiple of 117 and 8/(-112) + (-128368)/(-224).
22347
Suppose 0 = -4*u + h + 35, -u = 3*u + 2*h - 50. Let l = u - -2. Suppose 7*i + l = 3*t + 2*i, i + 4 = t. Calculate the smallest common multiple of 2 and t.
4
Let v(x) = -2*x + 11. Let g be v(7). Let b = 31/8 + -189/8. Calculate the common denominator of b and (-1050)/40 + (-1 - g).
4
Let c(p) = p + 29. Let y = 28 - 45. Let t be c(y). Suppose 8*m - t*m = -48. Calculate the smallest common multiple of m and 18.
36
Let y(k) = 2*k**3 - 4*k**2 - 474*k + 2706. What is the smallest common multiple of 1213/9 + 4/18 and y(6)?
1350
Calculate the lowest common multiple of -134 - -138 - (2 + 0) and 11590.
11590
Suppose 0 = 3*r - 99 - 138. Let y = 135 - r. Find the common denominator of (2 + (-100)/y)/((-4)/147) and -13/8.
8
Let r = -13823 + 13983. What is the lowest common multiple of r and 4980?
39840
Suppose 5579 = p + 43*g - 47*g, -4*p = 4*g - 22316. What is the smallest common multiple of p and 8?
44632
Let p(i) = 30 + 3*i - 27 + 4*i - 6*i. Calculate the smallest common multiple of 21 and p(6).
63
Find the common denominator of (6/264)/((36 - 42) + (-246)/(-40)) and -105/814.
2442
Calculate the lowest common multiple of 115 and (180 - 175)/((-1)/(-11)).
1265
Let j be 6*8/12 - (-2 - 82). Let r = j + -64. Calculate the lowest common multiple of 1808/r - (-1 - 12/(-9)) and 2.
150
Let h be (-6490)/900 + 9 - 6/2. Let k be -2 - (-82)/20 - 0. Let d = h + k. Find the common denominator of d and -8/13.
117
Let b(u) = u**2 - 1. Let s(d) = -3*d**2 - 7*d + 29. Let h(z) = 4*b(z) + s(z). Calculate the least common multiple of 6 and h(5).
30
Let i(t) = -2527722*t + 3. Let p be i(3). Let u = -121468055/16 - p. Let x = u + 8587. What is the common denominator of -67/10 and x?
80
Let l = -307 - -339. Suppose -4*m = 3*g - l, -4*g + 9*g = -m + 8. Let b(t) = -8*t + 4. Calculate the lowest common multiple of b(-3) and m.
56
Let r = 23855/126 - 1321/7. Find the common denominator of r and -131/3210.
9630
Let a = -33/524 - 17437/39300. Find the common denominator of -57/40 and a.
600
Let a = -4936 - -4947. What is the lowest common multiple of a and 1792?
19712
Suppose -o + 18 = -3. Let z = 30 - o. Let g(t) = -t**3 + 16*t**2 - 26*t - 3. What is the lowest common multiple of z and g(14)?
225
Suppose -2 = -3*q + 4. Let v = -485 + 497. Calculate the smallest common multiple of v and (100/(-15))/(q/(-6)).
60
Let f be (-286)/10 - 2/5. Let l(n) = 2*n**3 + 23*n**2 + 7*n - 7. Let y be l(-11). Let h = y + f. What is the lowest common multiple of h and 8?
8
Suppose 4*c + 2*i = 8 + 22, -5*c - 2*i + 37 = 0. Let t(p) = 15*p - 87. What is the smallest common multiple of 10 and t(c)?
90
Let n be 2 - -1 - (175/(-1) - -1). Calculate the common denominator of 47/5 and (n/72)/((-9)/(-12)).
90
Let l = -19933/4368 + 1/1092. What is the common denominator of -73/1880 and l?
3760
Let h(k) = k**2 + 55*k - 876. Calculate the lowest common multiple of h(-69) and 1770.
5310
Suppose -4*q + 12 = -4*k, -k - q - 12 = -5*q. Suppose k*f = 2*f - s - 3, f - 12 = -3*s. What is the lowest common multiple of 