-2 + (-132)/114)?
540
Let q(b) = b**3 - 6*b**2 + 21*b - 80. Let t be q(5). What is the common denominator of 29/9 and t/(-5) - (-3 - (-1115)/270)?
54
Suppose 18 = 2*y - 30. Suppose 7*l = 3*l - d + y, -2*d = 0. Suppose 180*k = 176*k + 64. What is the smallest common multiple of l and k?
48
Let w = 134 + -109. Let x = 45 - w. Suppose -6*o + 5*o + x = 0. What is the smallest common multiple of o and 44?
220
Let t = 144527/14 + -10329. Let v = -2/971 - 12615/3884. Find the common denominator of t and v.
28
Let d = 76 - 67. Suppose d - 15 = -u. Calculate the smallest common multiple of 18 and u.
18
Let m = 19745 + -1836313/93. Find the common denominator of 11/93 and m.
93
Let p be 4/(-18) - (4 - (-2170)/(-45)). Suppose 2*w - f - p = 0, 0 = 6*w - 2*w - f - 92. What is the lowest common multiple of 24 and w?
24
Suppose 3*m = 6*j + 150, 150 = 3*m - 8*j + 7*j. Let s = 9 + -6. Suppose 2*c - 30 = -2*k, s*c = -c - 3*k + 57. What is the least common multiple of c and m?
300
Suppose -5*w = 2*v + 22 - 31, -4*v - 3*w + 39 = 0. What is the smallest common multiple of 47126 and v?
282756
Calculate the common denominator of 29 - 34 - 52/(-12) - 691/(-1194) and -17/4.
796
Let v(d) = 5*d + 13. Let f(y) = 6*y. Let l(z) = -6*f(z) + v(z). What is the smallest common multiple of l(-2) and 60?
300
Let w = -26 + 24. What is the least common multiple of 8 and (-2)/w*6/(-1)*-24?
144
Suppose -o - 4*o = 15. Find the common denominator of ((-1)/(-3))/((-975)/(-261) + o) and 31/30.
960
Calculate the common denominator of (-1280)/(-400) + 1115/(-310) and 97/620.
620
Let g = -4 + 3. Let k be (-2)/8 - (204/112)/g. Let f = k + 169/35. Find the common denominator of f and 55/6.
30
Let g = 40 + -35. Suppose 0 = -5*p + g*q + 95, 3*q - 4 = 2. What is the lowest common multiple of p and 8?
168
Let p = 205 + -109. What is the least common multiple of p and (2*1/(-3) + (-1584)/2970)*-10?
96
Suppose 0 = 17*r - 10*r - 553. Suppose 4*a + r - 475 = 0. What is the least common multiple of a and 15?
495
Suppose 4*i - 1800 = -i. Suppose 11*a - 16*a = i. Calculate the common denominator of 53/10 and 249/2*8/a.
30
Let s = -43 - -47. Suppose -5*l - 5*o = -24 - 86, -88 = -s*l - o. What is the least common multiple of l and 2?
22
Let f = -22701/995380 + -47/1268. Find the common denominator of -32/157 and f.
785
Calculate the least common multiple of 8/(-10) + 6516/20 and 150.
1950
Let i = -32320013/391 + 82660. Let j = -39/92 - i. What is the common denominator of 105/10 + (-4)/(-10) and j?
340
Let u = 16271 - 227903/14. Let r = -63868729/1020 + 313126/5. Let b = -5/102 + r. What is the common denominator of b and u?
28
Suppose -20*s + 47*s = -73332. Calculate the lowest common multiple of 10/(-15) - s/42 and 10.
320
Let x = -11 - -5. Let f(l) = -14 + 429*l - 436*l + 5 - 17 - 8. Calculate the smallest common multiple of f(x) and 6.
24
Let i(t) = -7*t**2 + 3*t - 76. Let l(h) = -15*h**2 + 4*h - 152. Let a(u) = -13*i(u) + 6*l(u). What is the lowest common multiple of a(11) and 24?
96
Let j = 44 - 36. Calculate the lowest common multiple of j and (-779 - 10)*4/(-12).
2104
Let v = -264/13 + -5/26. Let q be (-3 + (-240)/(-364))*(-1)/1. Let a = 36/13 - q. What is the common denominator of a and v?
14
Let b(t) = -t**3 + 4*t**2 + 4*t + 6. Let k be b(5). Let f = 8 - k. Let a(y) = 2*y**2 - 6*y - 4. Calculate the lowest common multiple of a(4) and f.
28
What is the smallest common multiple of 11 and -13 + 14 + -8 + (64 - 2)?
55
Let q(m) = 27*m - 204. Let g be q(6). What is the lowest common multiple of 23 - (-18)/g*7 and 32?
160
Let v(x) be the second derivative of x**5/20 + x**4/12 - x**3/6 + 2*x**2 + 18*x. Let w be v(0). Calculate the common denominator of (5/5 - -1)*w/(-5) and 61/10.
10
Find the common denominator of -109/60 and ((-94)/(-10848))/(90/360).
6780
Suppose -5*q + 9 = -81. Calculate the least common multiple of q and 11426.
102834
Let j be (1/(-2))/((-1)/2). Let h = 3 + j. Suppose -5*k = -h*k - 8. What is the lowest common multiple of 11 and k?
88
Suppose 5*l - l = 5*p + 77, 0 = 6*p - 7*p - 1. Calculate the lowest common multiple of (1*5)/(2/6) and l.
90
Let p = -235117/14 - -16794. Find the common denominator of p and 61/5840.
40880
What is the common denominator of 7/207 and ((-45)/162*(-20)/35)/((-92)/33)?
2898
Let o = 47587/8 - 5955. Let i be ((-3839)/4)/((-2)/8). Let m = i + -15441/4. Find the common denominator of m and o.
8
Suppose -279 = -8*f - f. Let l = f - 17. Let n = l + -18. Calculate the common denominator of n and 43/15.
15
Suppose 79 = -2*a + 55. Let r(z) = z**2 + 10*z - 8. Calculate the lowest common multiple of r(a) and 72.
144
Suppose 4*j - 5*t = 16, -7 = t - 3. What is the common denominator of (1 + (-59)/(-30))*2 and 140/120*((-14)/12 + j)?
180
Suppose -4*h + 0 = -280. Calculate the least common multiple of h and (10/14)/((-12)/(-924)).
770
Let z be 4/4 + (-3 - (3 - 2)). Calculate the common denominator of 1/4*26/2 and 0 - (z/72*-143 - 3).
24
Suppose -114*v - 48*v + 6149 = -19*v. What is the lowest common multiple of 16 and v?
688
Suppose -5*m = -82 + 72. Calculate the common denominator of -5/66 and 3/(84/(-1015))*m/18.
396
Let f = -259196/31 - -104136311/12462. Let c = 21/67 - f. Let i = -1679 + 10009/6. What is the common denominator of i and c?
6
Let w be (50/6 - 8)/(1/(-18)). What is the common denominator of -71/10 and -4 - (12280/(-1296) - w)?
810
Let t = -875891/28 + 31285. Let i = 75915 - 303643/4. Find the common denominator of t and i.
28
Let i be 3 - -1214*(65/(-10) - -3). Let x = i + 38165/9. Calculate the common denominator of x and 0 - (26/(-22))/1.
99
Let f be (-4060)/174*18/(-10). Suppose 2*x + 113 = -5*q, 4*x = q + f - 15. Calculate the common denominator of q and 1/26.
26
Let q = 1394761771/1575 + -885563. Calculate the common denominator of q and -89/1575.
1575
Let g = 141 + -232. Let n = -1 + g. Find the common denominator of -70/3 and (6/14)/((-6)/n).
21
Suppose z + m = 22, 0*z + 5*z = -m + 122. Suppose -3*a = -x + z, -a + 19 = -x + 38. What is the least common multiple of x and 56?
112
Let w = -47415763/245 + 193534. Calculate the common denominator of -65/42 and w.
1470
Let m = 44 + -12. Suppose z = -3*z + m. What is the smallest common multiple of z and ((-8)/(-35) - (-798)/665)/(8/56)?
40
Suppose 3*q = 4*h - 813, -q = 3*q + 5*h + 1115. Let m = q + -145. Find the common denominator of -43/32 and 1354/792 + (m/54 - -8).
352
Let q = 9 - 5. Suppose 6*m = 3*y + 2*m - 30, 40 = q*y - 5*m. Suppose -9 - 61 = -7*d. What is the least common multiple of y and d?
10
Let c = 20023 - 19292. What is the smallest common multiple of c and 4?
2924
Find the common denominator of (-6 + 147/28 + 1)/((-190)/65) and 1/440.
8360
What is the smallest common multiple of 944 and 17072/16 + (4 - (4 - -5))?
8496
Find the common denominator of ((-297)/(-225))/(-2 + (-130)/(-75)) and -1/1040.
1040
Let j be 6419494/(-559440) + 12/(-30). Let x = j - 1/6993. Find the common denominator of 21*18/63 + 19/5 and x.
40
Let l(y) = y**2 + 8*y - 33. Suppose -2*d = -2*t - 28, -5*t - 40 = -2*d - d. Suppose -5*n + 75 - d = 0. What is the smallest common multiple of l(-12) and n?
60
Suppose -3*p + 186 = 4*y - 196, 354 = 3*p - 3*y. Find the common denominator of (11 + -12)/2 - p/(-42) and 55/42.
42
Let p be (-3)/18*-2 - (-344)/(-6). Let b = p - -51. Find the common denominator of -125/66 and b/(-10)*(-4 + (-249)/(-18)).
330
Let l be 8/18 + (-219420)/1134. Suppose m = h + 95 - 284, 4*m - 16 = 0. Let s = h + l. Calculate the common denominator of s and 11/9.
63
Let x = -471 + 473. Suppose -81 - 143 = -x*v. What is the least common multiple of v and 4?
112
Let t(p) = 3*p**2 - 4*p + 3. Let g be t(2). What is the lowest common multiple of 12 and (-908)/(-10 - -6) + g?
468
Suppose -4*h + 2*p - 14 = -46, 4*h - p = 34. Let a be h + -9 - ((-555)/(-6) - -2). Let y = a + 1715/18. Find the common denominator of -38/11 and y.
99
Find the common denominator of 68/21 and 36/(-432) - (-2355)/27108.
15813
What is the common denominator of 61/24 and (-330)/330 - ((-1166)/288 - -2)?
144
Let m = -4705 - -4672. Let p be (2/(-2))/((-1)/(-55)). Let w = m - p. What is the least common multiple of w and 66?
66
Let z(t) = -2*t + 2. Suppose -4 + 34 = 3*w. What is the least common multiple of w and z(-1)?
20
Suppose -