et a be ((-42483)/(-66))/7*2. Let m = a + -1855025/10087. Let k = -76051/9170 - m. Find the common denominator of k and 17/14.
70
Calculate the common denominator of -127*((-111)/(-108) + -1) and ((-2)/(-6)*289/(-1156))/(6/532).
36
Let j = 7122 + -541307/76. What is the common denominator of 16/(-256)*-388 - 2*1 and j?
76
Let h = 25785 - 23309675/904. Calculate the common denominator of h and 91/20.
4520
Let g = -875171/72 - -12156. Calculate the common denominator of g and 15/368.
3312
Let i = -233503543/33 - -7075198. Let u = -667 - i. Calculate the common denominator of 65/21 and u.
231
Suppose u - 27 = -2*u - 5*y, -4*u + 19 = y. Suppose -11*q - k = -8*q - 113, 0 = -3*q + u*k + 133. Calculate the lowest common multiple of q and 69.
897
Suppose -4*d + b = -0*d - 227, 2*d - 5*b = 91. Calculate the least common multiple of d and 6/(-15 - -5 - 2260/(-220)).
638
Let r(d) = d**3 + 2*d + 9. Let w = 621 - 600. What is the smallest common multiple of r(0) and w?
63
Suppose -104 = -4*c + 2*c. Suppose 0 = -4*f + 4*o + 96, 5*f + 4*o - 104 = c. Calculate the least common multiple of f and 10.
140
Let i be 10/(-40) - (-1655013)/(-252). Let s = 6569 + i. Calculate the common denominator of s and -38/45.
315
What is the common denominator of -71/130 and (-1302)/(-224) + 12/(-4 - 0)?
1040
Suppose 115*a = 111*a - 20, 18 = m - 2*a. Calculate the smallest common multiple of m and 92.
184
Suppose -20*t - 98 = -2218. Let u = t - 849/8. Calculate the common denominator of -5/2 and u.
8
Let u = 12684944/11 - 1153172. Calculate the common denominator of u and 138/(-86) - 2/(-2).
473
Find the common denominator of ((-81)/(-792))/(2/((-8)/3)) and (4*136/192)/3.
198
Let q be (-5 - 16/(-3))/(-47). Let m = -1583/94 - q. Find the common denominator of m and -77/51.
102
Let d = -131535/11 - -11961. What is the common denominator of 51/110 and d?
110
Let t = -3386 + 3465. What is the least common multiple of 4 and t?
316
Suppose 0 = 8*t - 10*t + 2*z + 4, 0 = t + 5*z - 2. Suppose 0 = 4*u + 1 - 5. What is the smallest common multiple of t + (-27 - -30) + (48 - -1) and u?
54
Let o = 40513323137/8735 + -4638045. What is the common denominator of o and -16/11?
96085
Let i(m) = 119*m - 1. Let r be i(1). Suppose 3*q + q + r = 5*l, q + 42 = -5*l. Let a = 125/4 + q. Calculate the common denominator of 51/11 and a.
44
Let y = -239/2 + 389/3. Let r be 358/(-20) + 5/(-20). Let h = r - -22/5. Find the common denominator of y and h.
12
What is the smallest common multiple of 48 and 1/(1/(-4)*-4)*14178/17?
6672
Let z = -373149 - -425763043/1141. Calculate the common denominator of -12/11 and z.
12551
Suppose -18*b + 14*b - 1193 = g, 0 = 5*b + 2*g + 1495. Calculate the smallest common multiple of 36 and -15*11/(b/18).
180
Suppose -2*o + 0*o = h - 3, -5*h - 2*o - 9 = 0. What is the least common multiple of 3 and 2*h + (-11 - -41)?
24
Suppose 84 = -3*p + 12. Let t(o) = -2*o**2 + 17*o + 126. Let u be t(-5). Find the common denominator of (u/p)/(18/1208) and -59/7.
42
Let c(h) = 5*h**2 - 6*h + 4. Let r = 29 - 40. Let j be c(r). What is the smallest common multiple of (-6)/(-21) - j/(-63) and 10?
110
Let m be (-124814)/(-272) - 2/(-16). Let l = m + -445. Calculate the least common multiple of l and 406.
406
Suppose -96096 = 10*l - 13*l. Suppose p + l = -4*k + 2*k, 3*p + 80082 = -5*k. Let q = -736603/46 - k. Calculate the common denominator of 113/10 and q.
230
Let x = -188609/2972320 + 24/7145. Calculate the common denominator of -79/416 and x.
416
What is the common denominator of -2*10/(-8)*(96/810)/(-2) and -4 + 4 - (-2)/39?
351
Let g = -289 - -1155/4. Let m be (-72)/(-12)*(-12 - -1). Find the common denominator of g and m/10 + 0/3.
20
Let k = -26634 + 45410969/1705. Find the common denominator of k and 24/55.
1705
Let b(c) = c**2 - 11*c - 22. Calculate the smallest common multiple of b(16) and 2192.
63568
Suppose 0 = -46*l + 52*l + 1920. Suppose -f - v = -5*f + 51, 66 = 5*f + v. Calculate the smallest common multiple of f and 1/(-4)*l/16.
65
Let o be (-6)/(-9)*93*(48 - 49). Let g = o + 72. Calculate the smallest common multiple of 50 and g.
50
Let z = 3789 - 507. Calculate the common denominator of 11/54 and -7 + z/252 + -6.
378
Suppose 21 = 2*k + 5*s, k + 3*s = 2*s + 6. Suppose 3*v = -2*y - 2464, 0*v - k*v + y = 2467. Let p = -16393/20 - v. Find the common denominator of -39/14 and p.
140
Calculate the common denominator of (-8439)/(-792) + -4 - (20/(-55))/(-1) and (-178)/(-120)*-2 - 0.
120
Let m be (-2)/4 + (-1)/(-2). Suppose t = -4*a + 7 + 3, m = 4*a + 8. Suppose q - 3*s = 21, -q - 5*s + 13 = -0*s. What is the least common multiple of q and t?
18
Let q(g) = g**2 + 9*g + 11. Let n be -1*((1 - 1) + 8). Calculate the lowest common multiple of q(n) and ((-7)/63)/((-27)/3645).
15
Let s(k) = k**3 + 36*k**2 + 133*k + 165. Let f = -182 + 575. Calculate the smallest common multiple of f and s(-32).
1965
What is the common denominator of (-12)/(9/3) - (-1990)/240 and -38/4209?
33672
Suppose 67*a + 51610 = 685*a - 3392. Calculate the smallest common multiple of a and 11.
979
Suppose 4*q - 94 = -5*z, -q - 41*z = -43*z - 17. Let w = -127 + 232. What is the lowest common multiple of q and w?
105
Let j be 557436/(-120) - 2/10. Let l = 510921/110 + j. Find the common denominator of 81/10 and l.
110
Let y be -2*1 - -1 - (-12 - -11). Suppose y = -r - 2*q - 0*q + 97, 3*r + q = 266. Suppose -8*u = -r - 1. What is the lowest common multiple of u and 4?
44
Let w = -108/73 + 4321/1095. Find the common denominator of 47/471 and w.
2355
Let k be (-62)/(-7) + 17/119. Suppose 0 = 3*a + g - 62, -k*a = -12*a - 4*g + 50. Calculate the smallest common multiple of a and 76.
836
Suppose -5*c = 3*x - 253175293, 5*c + 5*x - 202540237 = c. Let r = -3645567265/72 + c. Let n = 2179 - r. Find the common denominator of -43 and n.
72
Suppose 2*p - 3*z + 2 = 0, 10 = -z + 12. Suppose 0 = 4*r + 100 - 96, -p*r = j - 19. Calculate the lowest common multiple of 56 and j.
168
Let j(f) = f**2 + 8*f - 368. Calculate the lowest common multiple of j(16) and 344.
688
Let u = -920 - -1418. What is the least common multiple of u and 6?
498
Let r = -5588/9 + 1861/3. Find the common denominator of 23/13 and r.
117
Let t = 35199/2 - 3731117/212. What is the common denominator of -35*15/(-105)*(-5)/2 and t?
212
Calculate the common denominator of -125/336 and (-265)/112*370/(-925) - (-4)/14.
336
Suppose -n + 32 = -0*q - 2*q, 4*n - 3*q = 128. Let o = 1191 + -1167. Calculate the least common multiple of o and n.
96
Find the common denominator of ((-52)/(-360))/((-1 - 1) + 219/117) and -149/2700.
2700
Suppose 0 = -0*x - 2*x + 24. Let d = -358 - -354. What is the lowest common multiple of (-494)/(-26) + 2 + d + 1 and x?
36
Let s be 167467/(-136) + 1 + -6. Let h = s + 1224. Let t = 3611 - 57813/16. Calculate the common denominator of h and t.
16
Let p be 9/(-3)*40/(-4). Suppose j + 9*k - p = 4*k, 0 = 5*k. Suppose -2*m + 4*w + 50 = m, 4*m - 54 = -w. Calculate the lowest common multiple of j and m.
210
Suppose 5*o - 585 = -4*n + 24, 3*n - 366 = -3*o. Suppose 95 + o = 3*c. What is the smallest common multiple of 8/(-6) - 58/(-3) and c?
72
Let s = -41 + 21. Let h = 9 - s. Let c = h - 24. Calculate the smallest common multiple of c and 55.
55
Let u = -2743 + 2767. What is the least common multiple of 64 and u?
192
Suppose -226*x + 224*x + 824 = 2*p, -5*x + 432 = p. Calculate the least common multiple of 2849 and p.
2849
Let d be (-5 + 10)/5 - -5. Suppose 5*w = d*z - 3*z - 42, -5*w = 3*z - 12. Calculate the least common multiple of z and 63.
63
Suppose 440*a + 40 = 450*a. What is the lowest common multiple of 5067/18 + 2/a + 3 and 9?
855
Let n(c) = -19*c + 9. What is the smallest common multiple of n(-1) and (-2)/(-4) - (-414)/36?
84
Let a(d) = -d**2 - 28*d - 113. Let z be a(-23). Suppose 0 = -z*n + 46 + 52. What is the smallest common multiple of n and 56?
392
Suppose 0 = -5*o + 3*j + 428, -409 = -3*o - j - 141. What is the least common multiple of o and 1256?
13816
Let j(i) = -2*i - i**2 + 8*i - i + 3*i. Let l be j(4). Let m = l - 8. What is the lowest common multiple of m and 22?
88
Let a(p) = 24*p + 93. Let s be a(-4). What is the common denominator of (-8)/(-6)*s - (-314)/156 and 3/8?
312
Let m = -16792 + 17392. Calculate the smallest common mul