of s and 1568.
1568
Let a = -366 + 138. Let x = a - -473/2. Find the common denominator of (-423)/33 - (-148 - -134) and x.
22
Let x be 12 - 0 - (13 + -9). Let s be ((-46)/4)/((-14)/x). Let g = s - -55/14. Find the common denominator of g and 113/6.
6
Let s = 38982 + -701795/18. Calculate the common denominator of 169/6174 and s.
6174
Suppose 162*x - 264 = 151*x. Calculate the least common multiple of 1176/54 + (x/(-27))/(-4) and 22.
22
Suppose -5*j - 8280 = -8290. Calculate the least common multiple of j and 86.
86
Let w = 498403/27 - 18457. Let q(a) = 988*a - 59. Let l be q(2). Let v = -5818/3 + l. Calculate the common denominator of v and w.
27
Suppose 4*w - 295 = 5*g, -2*g - g - 179 = -2*w. Let t = 72 + g. Suppose 4 = 3*q + l, -3*q + 4*l + 5 = 6*l. Calculate the lowest common multiple of q and t.
9
Let j be (30/20)/((-40011)/(-1))*16. Let u = -228841/3520968 + j. Calculate the common denominator of -41/42 and u.
1848
Let q(t) = -7*t - 145. Let y be q(-22). Suppose 0 = -y*g + 1 + 17. Calculate the lowest common multiple of g and 20.
20
Let u(a) = -2*a**2 - 32*a + 44. Let g be u(-17). Let i(r) = r**3 - 8*r**2 - 19*r - 9. What is the least common multiple of 27 and i(g)?
27
Let s = -29950/551 + 2080/29. Let d = -2009/38 + s. What is the common denominator of d and ((-2)/(-20))/((-2)/(-23))?
20
Let i = 6343 + -6287. Let m = 53 + -49. What is the lowest common multiple of i and m?
56
Let p = 2/2110803 - 32733629327/4221606. Let f = 15106 + -22842. Let t = f - p. Find the common denominator of 127/6 and t.
6
Let r = -2/207 - 4000/207. Let l be 976/450 + 0 + (-8)/2. Let g = l + -7/25. Calculate the common denominator of r and g.
9
What is the common denominator of (6/(-21))/((-8)/174) and 1 - -18 - 273928/14938?
154
Suppose 8*g - 60 = 4*g - x, -2*x - 1 = -9. Calculate the smallest common multiple of (68/(-6))/((-2)/3) and g.
238
Suppose 5*b - 125 = -6*n + n, -4*n + 10 = b. What is the least common multiple of b and 735?
1470
Let t = -18423 + 18831. Calculate the lowest common multiple of t and 1632.
1632
Let j(r) = r**2 + 56*r - 1899. What is the smallest common multiple of j(25) and 54?
378
Let a = -163335 - -6534513/40. Let v = a - 151/5. Calculate the common denominator of v and -87/28.
56
Suppose 38 = 5*f - 22. What is the common denominator of (-8)/f*118/(-24) and (27/12)/(-3)*(-10)/21?
126
Suppose b + 20 = -3*s + 5*b, -5*s - b - 41 = 0. Find the common denominator of 86/20 + s/(-20) and (-21)/154*(1 + -27).
110
Suppose 1983*f = 1973*f + 20. Let i(s) be the second derivative of s**3/6 + 3*s**2/2 + s. What is the lowest common multiple of f and i(5)?
8
Let b(f) = -17*f - 56. Let a(c) = 6*c + 19. Let i(z) = 11*a(z) + 4*b(z). Let t be i(9). Calculate the common denominator of -54*(3 + 30/t + -2) and -4/5.
55
Let u(z) = 10*z**2 - 49*z - 7. Let d be u(5). Let w(a) = 5*a**2 - 4*a - 14. Let x = 7 + -4. What is the least common multiple of w(d) and x?
42
Let v = 36 + -34. Suppose 0 = -v*m + 8376 - 22188. Let w = -110593/16 - m. What is the common denominator of w and 73/18?
144
Let g = -228/49 - 4463/294. Let j be 223*-41*((-1600)/132)/20. Let r = 5543 - j. Calculate the common denominator of r and g.
66
Let h = 6 - 45. Let n = -146 - h. Let g = n + 417/4. Find the common denominator of g and -65/9.
36
Let i(h) = 27*h + 3044. Calculate the lowest common multiple of i(-112) and 1696.
8480
Suppose -25 = -63*w + 58*w. Suppose 32 = -w*x + 7. Calculate the least common multiple of 7 and (-2)/6 + x/((-15)/4).
7
Suppose 431*x - 2068 = 420*x. Calculate the smallest common multiple of x and 6/((-24)/(-20)) - 1.
188
Let a be ((-29)/435)/(152/(-17810)). Let y = a + 78/19. Find the common denominator of -55/201 and y.
804
Find the common denominator of ((-6)/619542*-77)/(1 + (-20)/21) and -73/27.
4023
Let o = 20 + -19. What is the least common multiple of ((-6)/(-8))/((-24)/(-1120)*7) and (19 - 19) + o*14?
70
Let i(b) = 2*b**2 + 3*b + 1. Suppose 1506 = 17*r + 9326. Let s = -427 - r. What is the lowest common multiple of s and i(-2)?
33
Let p be (-12990)/(-55) + (-5 - -1). Let t = p - 63424/231. Let l = t - -40. Find the common denominator of l and 62/15.
105
Let d = -164/9 - -727/72. Let t(a) = -a**2 - 5*a + 24. Let z be t(0). Find the common denominator of (8/(-2))/(58/z) and d.
232
Let h = 14133/3380 - 56/169. What is the common denominator of -105/22 and h?
220
Let a(r) = -109 - 4*r**2 + 2*r**2 - 420*r + 369*r. What is the smallest common multiple of a(-22) and 20?
180
Calculate the least common multiple of 3368 and (-6)/33 - (17 + -10 + (-2322)/66).
23576
Suppose 3*p - 4*c = 528, -3*p + 5*p - 345 = 5*c. Suppose -44*w = -40*w - p. What is the least common multiple of 40 and w?
360
Suppose -13*f + 314 = 54. Suppose 5*s = 65 - f. Calculate the least common multiple of s and 102.
306
Let m be (-3 - -2)/(-1) + 1/(-1). Suppose -9*j + 11 + 16 = m. Suppose -80 = -5*l + 4*h, 0 = j*l - 0*h + 3*h - 21. What is the lowest common multiple of 4 and l?
12
Let y(o) = -8*o**2 + 575*o + 81. Calculate the lowest common multiple of y(72) and 21330.
21330
Suppose 5*n + 10 = 2*k, -5*k = -3*n + 1 - 7. Let i be (5 + k)/(1*(-3)/(-33)). Let u = 75 - i. What is the smallest common multiple of u and 8?
40
Suppose -91*c + 8 = -95*c. What is the common denominator of 18/(-10) - c - 18288/(-960) and 53/20?
20
Let q(t) = 11*t + 151. Let s be q(-13). Let f(x) = -38*x + 312. What is the least common multiple of f(s) and 25?
200
Suppose 5*p - 5*c - 20 = 0, -52 = -4*p + 78*c - 83*c. Find the common denominator of 58/p*(-19)/((-38)/(-8)) and (5/4)/((-6)/56).
3
Let q = -282 - -370. Suppose -q = -3*g + 131. Calculate the lowest common multiple of g and 6.
438
Suppose 17*j = -3*q + 15*j + 52, 3*q - 3*j = 42. Let z(r) = 6*r. Let u be z(6). Calculate the common denominator of 149/18 and (-47)/u - q/(-8).
36
Let k(q) = -4*q**2 + 29*q - 3. Let l be k(7). Suppose -l*d + 5*o = -7, -26 = -3*d + o - 7. Calculate the lowest common multiple of d and 20.
40
What is the common denominator of (21*1/16)/((-10)/(-1320)*407) and -7/6?
444
Suppose 4*i = 3*f + 24, -f - 2 = 2. Calculate the least common multiple of 15/(-6) + i + (-21)/(-2) and (-88)/(-32) + (-1)/(-4).
33
What is the common denominator of (-160)/1935*95 + (-168)/(-21) and 26/15?
1935
Let f be 2 - ((-10)/45 + (-167906606)/180). Let a = f + -929745. Let b = a + -3068. Find the common denominator of 127/18 and b.
90
Let s(w) = w**2 + 5*w + 6. Let g be s(-4). Suppose -g*u - 50 = u + 4*l, -l = -4*u - 35. Find the common denominator of (-141*2/(-90))/((-4)/u) and -53/10.
30
Let r = 117 + -111. Suppose 0 = 3*b - r*b - t + 206, 5*t + 262 = 4*b. Suppose u - b = -59. What is the lowest common multiple of u and 36?
36
Suppose 5*x + 374 + 76 = 0. What is the common denominator of (146/x)/((-6)/(-9)) and 15/(-40)*1*44?
30
Let q = -8941 + 8963. What is the least common multiple of q and 1478?
16258
Let w = -146812/530583 - -57/4982. Find the common denominator of w and (-1029)/(-84) + 2/(-6).
852
Let y(b) = -b**3 - 2*b**2 - 2*b - 1. Let s be y(-1). Suppose 29*k - 626 = -191 + 174. Calculate the lowest common multiple of k and s - (-18 + (0 - 0)).
126
Let c(i) = 30*i + 648. What is the least common multiple of 1458 and c(27)?
1458
Suppose -o - 8 = -2*o. Let m(y) = 4*y - 22. Let j be m(o). Calculate the least common multiple of 23 and 3/((-2)/10*j/(-2)).
69
Suppose 503 = 2*v + 109*i - 110*i, -253 = -v + i. What is the smallest common multiple of v and 75?
750
Let y(c) = -2*c**3 - 12*c**2 - 5*c - 29. Let b be y(-11). Find the common denominator of 33/8 and 9702/b - 5 - 1*3.
824
Let f(p) = -40*p - 10. Let n be f(-2). Let y = n + -65. Suppose -3*j + 3*v = -15, -y*j + 4 = -2*v - 12. Calculate the least common multiple of 8 and j.
8
Let h(w) = -w**3 + 19*w**2 - 9*w - 16. Let z be h(14). What is the common denominator of (-6)/(-9) - (-155)/(-12) and z/240 - 9*14/(-336)?
60
Let d = 154 + -121. Let z = d - 9. What is the smallest common multiple of 4 and z?
24
Calculate the common denominator of 19/732 and ((-1028)/264)/(-1) + 61/183.
8052
Let k = 2/277 - 5837/2770. Calculate the common denominator of 37/1736 and k.
8680
Let b be (-791)/42 + (-3 - (1 + -4)). Let x = 18 + b. Calculate the common denominator of (1 - 12/14)*55 and x.
42
Suppose -4560*w + 4569*w - 38 - 89