and m?
24
Let q = -199/15 + 347/20. Let h = 2671/17 + -129449/816. What is the common denominator of h and q?
48
Let o = -174 + 184. Suppose 184 + 56 = o*t. Calculate the smallest common multiple of t and 54.
216
Suppose 3*q - 99 - 24 = -4*b, 4*b - 213 = -5*q. Suppose 2*x + n + n = 36, n - 50 = -3*x. Calculate the smallest common multiple of x and (-60)/q*45/6*-1.
80
Let o = 179327 - 110484. Let f = o + -5369915/78. Calculate the common denominator of 125/24 and f.
312
Let b(j) = 144*j**3 + 41*j - 41. What is the smallest common multiple of b(1) and 8?
144
Suppose 28*x = 23*x + 315. Calculate the lowest common multiple of ((-153)/(-18) + 5)/((-3)/(-16)) and x.
504
Calculate the common denominator of 2290/916 - (-200)/(-111) and -45/62.
6882
Let t be (-3 - 40/(-16)) + 66/4. Suppose t*k - 19*k + 60 = 0. What is the smallest common multiple of k and 12?
60
Let k = -4/8911 - 51164/44831241. What is the common denominator of -19/774 and k?
10062
Let z = 15 + -7. Let h = 118 - 103. Suppose 0 = -z*d + 5*d + h. Calculate the lowest common multiple of d and 4.
20
Let r(t) = 38*t**2 + 106*t + 340. What is the least common multiple of 4 and r(-3)?
364
Suppose -4957*j = -4936*j - 44604. Calculate the smallest common multiple of 590 and j.
10620
Let n(x) = -46*x - 85. Let j be n(5). Calculate the least common multiple of j/(-42)*(0 + 2) and 27.
135
Calculate the common denominator of ((-2299)/1672)/(51/(-28)) and -39/85.
510
Let q = 273/16 - -19/16. Suppose 2966 = -5*z - 3*k - 3273, z = -3*k - 1255. Let o = z + 27497/22. What is the common denominator of o and q?
44
Suppose 117 + 135 = -6*o. Let i be (-3)/(-7) - (-270)/o. What is the common denominator of 75/2 and i*1*(-12)/30?
10
Let a = -1782/97 + 363359/19594. What is the common denominator of a and -107/6?
606
Suppose 3*a = -2*a - 5*q - 2635, 5*a = -2*q - 2629. Find the common denominator of -1 - ((-1666)/a + -3) and 64/33.
825
Suppose 7*a - 143650 = -3*a. Let t = 804487/56 - a. Calculate the common denominator of 33/4 and t.
56
Let n(a) = 17*a**2 + 4*a - 8. Let z be n(2). Let d = 68 - z. Suppose 2*j + d*u = 2*u + 2, 4*j + 4*u - 28 = 0. What is the lowest common multiple of 96 and j?
96
Let g(s) = 22*s**3 - s**2 + s + 2. Let y be g(-1). Calculate the common denominator of (y/(-198))/(10/(-219)) and 85/24.
120
Let g = -1725/2 + 4333/5. Calculate the common denominator of g and -33/191.
1910
What is the common denominator of ((-2)/35)/(1744/(-117502)) and -83/24?
120
Let d = -27 + 91. Suppose 5*y - 79 = 6. What is the least common multiple of d and y/4 - 20/80?
64
Suppose 222*w = 221*w + 163. What is the smallest common multiple of w and (6*(-2)/4)/(-1)?
489
Let f = -162/23 - -1601/322. Let j = 37798127/32274 + -194442/163. Let g = -565/33 - j. Calculate the common denominator of f and g.
126
Find the common denominator of (-56)/154 - 9/330*401 and 63/1390.
1390
Calculate the common denominator of 10615/364384*(-1 + 5) and -95/12.
1416
Let r be (-50)/(-7) - (-9)/(-63). Find the common denominator of ((-1)/r)/((-48)/(-5768)) and (-3*(-1)/(-1))/(-58).
174
Suppose -2*m - 15 - 8 = 5*z, -2*m - 5 = -z. Calculate the common denominator of 71*-2*8/(-6 + 230) and m/18 - 13755/(-540).
28
Let r(p) = -449*p**3 - 13*p**2 - 12*p + 1. Let y be r(-1). Let g = 473 - y. Calculate the lowest common multiple of 120 and g.
120
Let d(w) = -37*w**2 - 7*w + 19 - w + 38*w**2. Let b be d(5). Calculate the common denominator of 113/12 and -1*b/8*(25 + 1).
12
Suppose -3*y + 183 + 134 = -2*j, j - 5*y = -141. Let w = 210 + j. Calculate the least common multiple of w and 20.
220
Let k = -150/6143 + 370687/337865. What is the common denominator of k and (-2)/6 - 91/(-165)?
55
Let c(m) = -6*m - 18. Let u(p) = 10*p - 10. Calculate the smallest common multiple of c(-8) and u(4).
30
Let m(i) = -i**2 + 11*i - 20. Let b(x) = 10*x + 16. Let z be b(-1). Calculate the smallest common multiple of 146 and m(z).
730
Let l = -2441 + 68339/28. Find the common denominator of 2/7 and l.
28
Let g(j) = -83*j - 19. Let d be g(-4). Suppose -k + d = -6*k - 3*v, -3*k - 207 = -3*v. What is the common denominator of (k + 0)*(-16)/256 and -95/8?
16
Let r = 2630/177 + 28/59. Let q(k) = -k**3 - 8*k**2 + 2*k + 25. Let p be q(6). Let g = p - -4231/9. Calculate the common denominator of r and g.
9
Let x(k) = k + 7. Let o be x(10). Let s = -6 + o. Suppose 17*h - 9 = 14*h. Calculate the least common multiple of s and h.
33
Calculate the least common multiple of (42147/446)/(1/2) and 22.
4158
Let u(c) = -c**3 + 62*c**2 + 492*c - 231. Calculate the least common multiple of 195 and u(69).
390
Let k = -7/289831 - 21092458/2699775765. What is the common denominator of -65/12 and k?
37260
Suppose -2*a = -2, 0 = 3*q + a + 2*a - 27. What is the lowest common multiple of q and 260?
520
Let l = -80 - -42. Suppose -5*o = -28 - 267. Let t = l + o. Calculate the least common multiple of 1 and t.
21
Suppose -78 + 6501 = h. Let x = h + -51475/8. Find the common denominator of x and -59/280.
280
Let c(n) = -11*n**3 - 89*n**2 - 19*n - 157. Calculate the lowest common multiple of c(-10) and 108.
8532
Calculate the common denominator of 6/(-4)*15/(810/(-342)) and -44/263.
526
Let q(w) = -1080*w**2 + 4*w - 3. Let c be q(4). Let j = -649/892109 + 1817605255907/105268862. Let m = c + j. Calculate the common denominator of m and 7/18.
1062
Let t(d) = 11*d**3 - 53*d**2 - 21*d + 70. What is the least common multiple of t(5) and 128?
1920
Suppose 0 = 2*d + 3*h - 16, -2*d + 4*h - 24 = -68. Suppose 9 + 83 = o. What is the lowest common multiple of ((-12)/14)/(d/(-98)) and o?
276
Find the common denominator of (-29)/(-58)*(-300)/(-1128) and -89/116.
5452
Let y = -3344/2115 + -8/423. Let o(a) = -a**2 - a + 1. Let h be o(1). Calculate the common denominator of y and (h/(-16))/(2/60).
40
Suppose -4*d = x + 19, -9*x = -5*x + 5*d + 21. Calculate the smallest common multiple of x and 143/11*(-2 + 6 + -3).
13
Let t(a) = -5*a + 3. Let v(i) = -6*i + 3. Let n(x) = 5*t(x) - 4*v(x). Let r be n(-4). Calculate the least common multiple of (-15)/(-35)*r/1 and 24.
24
Suppose 3*c - 1005 = -981. What is the smallest common multiple of (-6)/(-15) + (-1726)/(-10) + 3 and c?
176
Let t = 3/367061 + -821115511/6607098. Let z = 1012/9 + t. Find the common denominator of z and 35/108.
108
Let y(n) = n**3 + 10*n**2 + 6*n - 3. Calculate the lowest common multiple of y(-7) and (-39)/45 + 1 - 3/(45/(-88)).
102
Let n be -3*(-2 + 3) + -900. Let s = -10931 + 23713/2. Let c = n + s. Find the common denominator of c and -33/2.
2
Let x(p) = p**3 - 6*p**2 + p - 14. Let a be x(6). Suppose 14*b = 9*b + 25. What is the smallest common multiple of a/(-12)*132/8 and b?
55
Suppose -30 = w - 32. Suppose 4*r = 5*t - 80, -2*t + w*r = -5*t + 70. Calculate the lowest common multiple of 18 and t.
180
Suppose 0 = -k - 1 + 7. Suppose 3*f = -g + 10, 8*g + 2*f = k*g + 12. What is the common denominator of ((-2)/g)/((-11)/(-715)) and 23/10?
10
Let x be 6 - 4*21/12. Let i(k) = -11*k**3 - 4*k - 3. What is the lowest common multiple of 52 and i(x)?
156
Let w = 24647/160 - 756/5. What is the common denominator of 17/88 and w?
352
Let x = -6031275599/92106 + 1113192/17. Calculate the common denominator of -37/5418 and x.
5418
Suppose -5*x + 24*j = -262, 0 = 4*j - 72 + 64. Calculate the smallest common multiple of 1 - 3*7*-1 and x.
682
Let j = 1183 - 683. Calculate the common denominator of -1/2 and (2/j)/(6 + (-2678)/455).
200
Let j be (-289828)/(-16) + 100/60. Let m = 18105 - j. Calculate the common denominator of 82/39 and m.
156
Let w(s) = s**3 + 5*s**2 - 9*s + 128. Calculate the lowest common multiple of w(8) and 2516.
15096
Let i = 16916 - 16487. Calculate the lowest common multiple of 7 and i.
3003
Let x(d) = d**3 + 5*d**2 - 6*d + 5. Let q be x(-6). Suppose -33 = q*b - 3. Find the common denominator of -83/30 and 1870/60 + 1/(b/4).
30
Let h be (9/60)/((-2056)/(-224)). Let n = -923831/5140 - h. Let a = -170 - n. What is the common denominator of a and -73/16?
16
What is the common denominator of (-16)/(-64)*760/16 and 51*((-103)/36 - -3)?
24
Suppose 4*w - 192 - 160 = 4*l, 4*l = 2*w - 182. Suppose -5*t = 10 - w. Calculate the lowest common multiple of t and 45.
45
Let i be (5072/(-10))/4*-10. Let z = i - 100179/79. Calculate the common denomin