ator of u and (1/(-6))/(10/642).
10
Suppose -2*w - 9 = -9 - 10. Suppose 5*b - 6 = 4. Suppose -b*i = w*i - 70. What is the least common multiple of i and 108?
540
Let w(h) = -h**3 + 7*h**2 - 4*h + 6. Let j be w(6). What is the common denominator of (-518)/20*j/(-42) and 0 - (-17 - -13) - 55/(-8)?
40
Suppose -11*n = -308 - 118 - 36. What is the least common multiple of 5004 and n?
35028
Let x = 49435/8 - 18439177/2984. Calculate the common denominator of -47/32 and x.
11936
Let i = -666275/32 + 20823. What is the common denominator of -87/520 and i?
2080
Let g = 92531/20 - 4624. Let x = 512583/46180 - -3/9236. Find the common denominator of x and g.
20
Let n = 230 - 218. Let v be (-6*1)/((-6)/4). Suppose 4*w = -l + 55, 2*l = v*w - 93 + 23. What is the least common multiple of n and w?
60
Let f = 18451 + -2509357/136. Find the common denominator of -103/52 and f.
1768
Let j = -20800 + 21200. Calculate the least common multiple of j and 224.
5600
What is the common denominator of -89/4 and -1*(5 - 6) - (-939)/(-540)?
180
Let t(f) = f**2 - 44*f - 20. Let y be t(25). What is the common denominator of -61/231 and (-834)/y + (-1)/5?
231
Let j = -5914207 + 61484096069/10396. What is the common denominator of j and 39/10?
51980
Let b = -556 + 398. Calculate the lowest common multiple of 12 and (-8)/52 - b/13.
12
Let i = 8956 - 7971. Calculate the lowest common multiple of 197 and i.
985
Let j(q) = -q + 47 + 45*q**2 - 47. Let c be j(1). Let s = c - 20. What is the least common multiple of s and 18?
72
Let g = -209/60 + -23/30. Calculate the common denominator of g and -19/7398.
14796
Suppose 25*w - 11 = 39. Suppose w*s = -2*y + 38, 6*y - 9*y = 2*s - 53. What is the least common multiple of ((-4)/6)/(1/(-18)) and y?
60
Let r(i) = 19*i - 14. Let j(b) = -135*b + 100. Let o(x) = -3*j(x) - 20*r(x). What is the smallest common multiple of 111 and o(2)?
1110
Let d(l) = -8*l - 14. Suppose -7*c = -5*c + 8. Let m be d(c). Suppose h + 5*a = 4*h - m, -3*h = 4*a - 18. What is the lowest common multiple of h and 66?
66
Let a = -288 - -289. Let z(j) = 6*j**2 + 5*j - 7. What is the least common multiple of z(a) and 4?
4
Let a = -33959 + 49205. Suppose 18*m - a = -15*m. Calculate the least common multiple of m and 14.
462
Let m = -409449/16 - -25592. Calculate the common denominator of m and 1689/(-1512) - (-4)/(-14).
144
Let i = 28 - -58. Suppose 2*j - t + i = -6*t, -2*j + t = 62. Find the common denominator of 43/6 and ((-990)/12)/11*j/(-145).
174
Calculate the common denominator of 101/340 and (234/(-80) - -2)/(-7 - -11).
2720
Suppose 31 + 17 = 6*k. Suppose -7*l + 90 = k*l. What is the smallest common multiple of 130 and l?
390
Let a(r) = -3*r**3 - 15*r**2 - 23*r + 19. Let j be a(-7). Suppose 8*m = j + 246. Calculate the lowest common multiple of m and 54.
270
Let z = -141 + 9727/69. What is the common denominator of z and 176/(-30) - 36/(-9)?
345
Suppose -4*z + 1049 = -2*d + 427, -d + 145 = z. What is the smallest common multiple of 1216 and z?
1216
Suppose -36*w + 32*w = -14108. Let z = -21211/6 + w. Find the common denominator of ((-286)/30)/(4/10) and z.
6
Let p(o) = -420*o**3 - 6*o**2 - 7*o - 1. Let w be p(-1). Suppose -16*a = -19*a + w. Calculate the least common multiple of 8 and a.
280
Calculate the common denominator of 7/30 and ((-28)/7 - -3) + 222777/225180.
8340
Let x = 1634700/17 + -20139677/204. Let d = x + 2562. What is the common denominator of d and 149/6?
12
Suppose 0 = -3*k + 10*k + 308. Let t be (-10814)/(-40)*-18*k/(-24). Let q = -8926 - t. Calculate the common denominator of q and 77/18.
180
Suppose 4*z + 30 = 2*t, 4*t + 3*z + 3 = 107. Calculate the lowest common multiple of t and 248/20 - 4/10 - 3.
207
Suppose 13 = -2*y - 3*r - 11, 3*r - 66 = 3*y. Let d = -1355 - -10791/8. Find the common denominator of d and ((-819)/(-3861))/(0 - (-4)/y).
88
Let b = 8668 - 8560. What is the least common multiple of 172 and b?
4644
Let j = 105979/2 + -54021. Let p = j + 981. Calculate the common denominator of (-65)/18*(-11)/(-5) and p.
18
Calculate the common denominator of 46/1693 and (6 + 341/(-55))*156/(-3).
8465
Let u be (2*3/(-6))/((-3)/9). Let h(z) = -425*z + 15. Let c be h(u). Find the common denominator of 2/3 and (-4525)/c - (-2)/(-7).
36
Let w(y) = -6*y**2 - 1123*y - 1294. Let c = 94 - 18. Calculate the least common multiple of c and w(-186).
152
Suppose 0 = -5*t - 62 - 73. Let i = -85 - -82. Find the common denominator of i/12 - t/(-16) and 7/2.
16
Let x be (-22 - -8)*94/(-4). Let m = 332 - x. Let y(z) = z**2 + 5*z + 5. What is the lowest common multiple of m and y(-5)?
15
Let y = 6837241/902 - 7580. Calculate the common denominator of -27/574 and y.
6314
Suppose 0 = 5*u - 45, -5*q - 2*u = -4049 - 6754. What is the least common multiple of q and 21?
15099
What is the common denominator of (5 - (-7 + 1672/112)) + 8 and -123/1000?
7000
Calculate the common denominator of 38/(-160)*(-2 + (234/(-13))/(-6)) and 29/2688.
13440
Suppose 104*q + 24*q - 151 = -23*q. Let r be ((-5)/(-1))/(2/6). Suppose -4*l = -13 - r. Calculate the smallest common multiple of q and l.
7
Let l = 423875/42 + -10092. Find the common denominator of ((-1)/9)/((-4)/76) and l.
126
Suppose -21*n - 21*n + 22*n + 840 = 0. What is the lowest common multiple of (12/(-10))/(3/(-15)) and n?
42
Let n(y) = -132*y + 828. What is the smallest common multiple of 32 and n(6)?
288
Suppose 17*r + 89 = -13. Calculate the least common multiple of (-2)/(-2) + (0 - -1) and 26 + (r - 9/(-3) - 1).
22
Suppose 2*g - 168 - 1504 = -4*w, 4*g + w - 3372 = 0. Calculate the least common multiple of g and 2.
844
Let q(r) be the first derivative of -1/2*r**2 + 14*r + 19. What is the least common multiple of 10 and q(5)?
90
Let j(c) = -c**3 - 5*c**2 - 2*c - 7. Let f be j(-5). Let i(z) = -302*z + 1082. Let b be i(4). What is the common denominator of -11/16 and ((-10)/b)/(2/f)?
336
Let g(t) = -223*t - 41. Let o be g(-5). Let j = 146063/136 - o. Find the common denominator of j and 29/8.
136
Let u(s) = 3 + 758*s**2 - 15*s - 40 - 781*s**2 - 2*s**3. What is the least common multiple of 42 and u(-11)?
42
Let m(x) = -48*x - 256. Let b be m(-10). Suppose -q - 23 = t - 103, 3*q - t - b = 0. Calculate the smallest common multiple of 32 and q.
608
Let g = 5381026716321245/46308 + -116200801516. Let f = -2/3859 + g. Let y = 86/3 + -125/6. Find the common denominator of f and y.
12
Let z(r) = -r**3 - 15*r**2 + 9*r + 27. Let g be z(-8). What is the common denominator of -8/63 and (-848)/595 - (-58)/g?
315
Let h be (-3)/3 - 220/(-2). What is the least common multiple of 20/4 + (-12)/3 + h and 50?
550
Calculate the common denominator of 89/198 and -7 + -9 - (-985762)/61710.
10890
Let c = 545 - -259. Calculate the least common multiple of c and 18.
2412
Let m = -3261 - -4061. What is the smallest common multiple of m and 2000?
4000
Let d(i) = i**3 - 10*i**2 - 10*i - 8. Let w be d(11). Suppose -j = -w*j - 16. Let a = 26 + j. What is the common denominator of a and -11/17?
17
Suppose -4*p + 476 = 4*g, 3*p = -2*g - p + 240. Let n = g + -79. What is the least common multiple of (-3 - n/(-6))*2 and 60?
420
Suppose -2 = 10*z - 8*z. What is the lowest common multiple of 2 - z - (-1 + 1) and (-3)/((3/4)/(22/(-11)))?
24
Let x = -69001937/498 - -138558. Find the common denominator of -101/166 and x.
498
Suppose -5*b + 0*b + 20 = 0. Let o = b + 4. Suppose 5*l = -5*z + 58 - o, -3*z = -l - 30. What is the least common multiple of z and 3?
30
What is the common denominator of ((-6)/(-8))/((-6)/34) and ((-5586)/1568)/(-1 - -10)?
48
Let k(d) = -1147*d**3 + 5*d**2 + 6*d. What is the least common multiple of 33 and k(-1)?
12606
Let u(o) = -8*o**2 - 81 - 14 + 9*o**2 + 22*o. What is the least common multiple of 28 and u(-27)?
280
Let a = 85031/5900 - 904/59. Calculate the common denominator of a and (4/42)/((-2360)/10738).
300
Suppose 13*s = 4*g + 15*s - 2074, -g + s + 523 = 0. Calculate the smallest common multiple of g and 104.
520
Let q = 66 + -25. Suppose -4*z + 3 + q = -4*s, -40 = 3*s + 4*z. Find the common denominator of 90/12*s/(-35) and 32/51.
357
Suppose 0 = 65*o - 63*o - 4*q - 544, q = 2*o - 541. What is the least common multiple of 540 and o?
540
Let z(b) = b**3 + 8*b**2 + 10. Let u be z(-8). Suppose -29*k + 190 = -u*k. What is the sma