. Let d = 44/61 + -1273/1342. What is the common denominator of m and d?
176
Let v = -70 + 68. What is the smallest common multiple of 40/6 + (-2)/3 and v + (-50)/(-5) + 4?
12
Let u(f) = 2*f**3 + f**2. Let s(x) = 3*x**3 - x**2 - x + 1. Let m be s(1). Let r = 3114 + -3110. Calculate the lowest common multiple of r and u(m).
20
Let y = 3675/4 - 916. Let n be (-2 - -2 - 312) + 2. What is the common denominator of 2/(-6)*825/n and y?
124
Suppose -y - 9 + 1 = 0. Let h = 25 + y. What is the smallest common multiple of h - (-1 - (2 - 0)) and 20?
20
Let t = 63338219/302 - 209729. What is the common denominator of 23/20 and t?
3020
Let t = -1059 - -1081. What is the lowest common multiple of t and 121?
242
Let s(y) = -y**2 + 23*y + 54. Let r = 0 - -5. Calculate the least common multiple of r and s(25).
20
Suppose -4*b + 0*b = 3*q - 1, b + 2*q = -1. Let r(u) = 18*u**2 + u - 1. Let x(t) = 6*t**2 - 195*t + 114. Calculate the least common multiple of x(32) and r(b).
18
Suppose -398 = -3*v + 2*b, 5*v - 3*v - 2*b - 264 = 0. Calculate the smallest common multiple of v and 8.
536
Let j = 131709/50 - 2634. Find the common denominator of j and 32/15.
150
Let f = -3 - -7. Suppose 3*g + 2*g + 5*p = 105, -f*g + 89 = 5*p. What is the lowest common multiple of g and (-2 + 18/15)*(-90)/4?
144
Let f = 134 - 94. What is the lowest common multiple of 40 and f?
40
Let x = -4283 - -85641/20. Find the common denominator of x and 139/3474.
34740
Suppose -10 = -2*q - 2. Find the common denominator of ((-9)/24)/(q/(-264)) and 29/12.
12
Let o(u) = -u**2 - 13*u - 32. What is the least common multiple of 100 and o(-7)?
100
Suppose 4*h = 3*l - 5*l - 14, -2*l = 2. Calculate the lowest common multiple of 17 + -23 - ((-28)/7 + -38) and 21 - (h - -2)/(-1).
180
Let t(a) = a**3 - 4*a**2 + 3*a - 1. Suppose 2*i = -i + 6. Let u be t(i). What is the common denominator of -55/7 and -1 - (u + 1) - -32?
7
Let v = -260 + 3631/14. What is the common denominator of v and (1/(-12))/(1/254)?
42
Find the common denominator of 125/12 and (-7 - (-330)/45)/(4/(-286)).
12
Let w = -14 + 22. Let v be 8/(-10)*(-10)/4. Suppose 2*j - 10 + v = 0. What is the least common multiple of w and j?
8
Let i = -8246 + 2349. Let c be 8/(0 - -4) - i. Let s = 47109/8 - c. Find the common denominator of 50/9 and s.
72
Let p = 76033/41355 + -15/919. Calculate the common denominator of p and 181/90.
90
Suppose x - 2 = 2*o, 3*o = 5*o + 4*x + 12. Find the common denominator of 1 + (-202)/(-104)*o and 75/22.
286
Calculate the common denominator of (-20)/(-8)*(-2772)/(-4140) and -25/16.
368
What is the common denominator of 1708/(-160) + 8/(-40) and (-42)/(-52)*(-10)/(-6)?
104
Let v(a) = 2*a - 15. Let g be v(9). Suppose 0 = 5*y - y + g*b - 6369, 0 = -3*y + b + 4793. Calculate the common denominator of 2/4 - y/(-72) and -55/9.
9
Suppose -a - 2*a - 417 = 0. Let u = a + 761/6. What is the common denominator of 99/8 and u?
24
Let y be (-2)/(-4) - 19672/176. Let i = 110 + y. What is the common denominator of -127/6 and i?
66
Suppose -8*p + 12*p = 32. Suppose p*c - 7*c - 8 = 0. Calculate the lowest common multiple of c and 40.
40
Let c = -84679/12 + 7052. Suppose 4*u = 2*w - 5178, 5*u + 5711 = 4*w - 754. Let y = -12981/10 - u. Find the common denominator of y and c.
60
Let d(q) = q**3 + 10*q**2 - 2*q + 22. Calculate the lowest common multiple of 88 and d(-9).
968
Suppose 10*m - 2132 = 6*m. What is the smallest common multiple of m and 2?
1066
Let w(v) = v**3 + 4*v**2 + 2*v - 1. Let j = 275 - 183. Let m = 94 - j. What is the smallest common multiple of m and w(-3)?
2
Calculate the least common multiple of 10 and ((-11)/(-2))/((-14)/(-168)).
330
Let g(l) = -6*l**2 - 6*l - 14. Let k be g(-7). Find the common denominator of (-1)/(-4) - 1368/32 and ((-16)/56)/(24/k).
6
Let d = -36 - -41. Suppose 178 = d*t - 62. Let r = 6 - 2. What is the smallest common multiple of t and r?
48
Suppose -5*j - 12 = 28. Let q = 8 + j. Calculate the lowest common multiple of 10 and q - (0 - 3 - -1).
10
Let f be (-1)/((-6)/4)*(11 + -20). Find the common denominator of 15/2 and (164/(-64))/(f/(-8)).
12
Let f = 4/29 - 69/290. Let m = 82002346136/1197 - 68506561. Let q = m + -37/133. What is the common denominator of q and f?
90
Let c(a) = -3*a - 46. Let f be c(-14). Calculate the common denominator of 2 + (-49)/(-12) + 2/f and 37/6.
12
Let a be ((-2)/3)/((-4)/(-24)). Let m be (2/a)/((-7)/238). Suppose 2*g + 4*h = -h + 23, m = 2*g + 3*h. What is the least common multiple of g and 2?
4
Let j be 2/3 - (-224)/(-3). Find the common denominator of 16/48 + j/18 and -7/2.
18
Let n = 1397 - 1119. What is the least common multiple of n and 6?
834
Let k be -2*((-31)/2)/(-1). Let t = k + 30. What is the common denominator of 43/6 and 65/(-22) - t/(-1)?
66
Suppose 0 = f + 1, 0*q + q + 4*f = -4. Suppose q*h + 24 = h. What is the common denominator of 97/20 and (10/h)/(1/(-14))?
60
Suppose -2*x = 3*p + 120, 0 = -4*x + 3*p - 324 + 84. Let t = 76 + x. What is the least common multiple of 4 and t?
16
What is the common denominator of 15/56 and ((-5676)/847 - (-1 - 1)) + 5?
616
Let a(k) = k**2 - 2*k + 6. Let l be a(2). Calculate the common denominator of -5 + 3 - (-94)/l and -19/21.
21
Suppose 3*u - 27 = 6. Let a be (-7)/(14/(-45)) + (-9)/6. Let h = a - u. What is the lowest common multiple of 9 and h?
90
Let y = 238 - 48. Calculate the least common multiple of 10 and y.
190
What is the common denominator of -91/40 and (((-102)/324)/17)/(4/186)?
360
Let p = 1376898204/2485 - 3878373/7. Let d = 1/710 + p. What is the common denominator of d and -13/22?
22
Suppose 0 = 12*t + 10*t - 10164. Calculate the lowest common multiple of 70 and t.
2310
Suppose h - 5 - 6 = 0. Suppose 0 = w - 4*y - h, 6*w + 4*y = 2*w + 4. Suppose 2*p - q = -p + 5, 2*p - q - w = 0. What is the lowest common multiple of 7 and p?
14
Let b be ((-14)/(-8))/(1/36). Let p be (16091/(-13258))/((-54)/b). Let a = p - -2/2841. Find the common denominator of 71/2 and a.
12
Let u = 14 + -10. What is the common denominator of -1 + 2*(-53)/20 and (-10)/(-44)*4/u?
110
Let k = -10078496 + 201516579/20. Let l = -2671 - k. What is the common denominator of l and -143/12?
60
Let u(y) = y**3 - 25*y**2 - 53*y - 19. What is the least common multiple of u(27) and 14?
56
Let c(x) = 3*x**2 - 2*x + 3. Suppose -230*q - 8*q + 17690 = 52*q. Calculate the lowest common multiple of q and c(2).
671
Find the common denominator of 63/5 and 11/(-55) + (-8)/6160.
770
Let c = -29299/20 - -1467. Calculate the common denominator of c and 12/26 - (-7 - 2130/624).
40
Let r(y) = -y**3 + 4*y**2 - y - 4. Let t(b) = -4*b + 2. Let q be t(-3). Calculate the smallest common multiple of 4/q - (-78)/21 and r(3).
4
Calculate the common denominator of 29/216 and (-8)/(-17280)*-381 - (-6)/27.
2160
Suppose 0 = -2*h + 14 + 28. Calculate the smallest common multiple of (1350/(-30))/(3*-1) and h.
105
Let u = 2664 - 47831/18. Let i = -78/571 - 3168/102209. Let l = 12827/1432 - i. Find the common denominator of l and u.
72
What is the lowest common multiple of 112 and 23/((-414)/84)*(-26 - -2)?
112
Suppose 3*p - 45 = -3*m, 0 = -2*m + 4*m - 10. Suppose -5*r = -5*c + 20, -7*r + 2*r + 2*c - 20 = 0. What is the lowest common multiple of r/5*60/(-8) and p?
30
Let i = -11601 - -1461715/126. Find the common denominator of -29/6 and i.
126
Suppose -5*q - 4*w + 3*w + 159 = 0, q - 3*w = 35. Calculate the lowest common multiple of 16 and q.
32
Let p(m) = m**2 + m - 16189. Let g be p(0). Let l = -259107/16 - g. Let y = -5397 - -43161/8. What is the common denominator of l and y?
16
Suppose -4*j - 47 = -3*n, -3*n + 3*j + 14 = -2*n. Let m = 19 - n. Let x = m - -14. What is the least common multiple of x and 12?
48
Let r(n) = -722*n + 14. Let y be r(-5). Let v = y + -36119/10. Calculate the common denominator of -23/26 and v.
130
Let v(t) = -4*t + 54. Let c = 93 + -85. What is the smallest common multiple of v(c) and 2?
22
Let s(g) = -g**2 - 2*g - 2. Let f be s(-2). Let d be f - (-2)/(-2)*0. Calculate the common denominator of (-12)/(-176)*d/(-3) and -95/8.
88
Let k = -133102 - -21828797/164. Find the common denominator of -127/24 and k.
984
Suppose 15*f - 11*f - 160 = 0. Calculate the least common multiple of 120 and f.
120
Let u = -2999/13160 - 105/376. Find the common denomina