Find the common denominator of d and -19/15.
14340
Let z = -21 + 24. Suppose -t - z*t + 5*v + 40 = 0, v - 20 = -2*t. What is the least common multiple of 24 and 45/(-6)*(-8)/t?
24
Find the common denominator of -6*(-4 - 11/(-3)) + 36449/(-17589) and 73/9.
1287
Suppose -5*c - c = -54. Suppose c = p - 4*p. Find the common denominator of 23/5 and p/21 - (-918)/840.
20
Let b = -87 + 99. Let a be 3 + 34/6*(-92)/b. Let s = 4193/99 + a. What is the common denominator of -53/10 and s?
110
Let j(v) = -2*v**3 - 20*v**2 - 51*v - 35. What is the smallest common multiple of j(-8) and 3?
117
Suppose -7056 = 6*h - 19416. Suppose 0 = 23*t - 9512 + h. What is the smallest common multiple of t and 6?
324
Let z be 2 + 0 + 1/((-46)/(-44032)). Let n = 959 - z. Let j = n - -160/207. Calculate the common denominator of j and -71/4.
36
Calculate the common denominator of (1870/620 + -3)*(-2 + 315/194) and 91/2.
12028
Let c = -1023 + 6710. What is the least common multiple of 77 and c?
39809
Suppose -505*a - 12 = -511*a. Suppose 75 = k - 5*c, a*c + 277 = 5*k - 2*k. What is the smallest common multiple of 5 and k?
95
Let s be -2 + (1 + -2 - -2)*12. Let l be 1*(-13)/4 + s/40. What is the common denominator of 24/7 and (7/l)/(15/(-25) - 0)?
63
Let h = 23388547/523 - 44720. Let a = -23863/7845 + h. What is the common denominator of a and 76/69?
345
Suppose -11 = -2*x - 3*i - 0*i, -3*x - 6 = -3*i. Let m be (x/1)/((330/(-77324))/15). Let y = -3512 - m. What is the common denominator of y and -39/2?
22
What is the smallest common multiple of (-486 - -501)*26/10 and 5004?
65052
Let j = -15849/764 - 1/191. Suppose 6570 = -8*n + 3*n. Find the common denominator of j and (2/(-32))/(9/n).
8
Let o = 462339293/756 - 611560. Calculate the common denominator of o and 71/30.
3780
What is the common denominator of ((-1)/(14/60))/(32/(-42)) and 315/30*30/924?
88
Find the common denominator of -95/306 and (-58 - (-26 + -42))*-5*(-1)/(-119).
2142
Let z be (78/(-104))/(2/(-8)). Let j(y) = y**3 - y**2 + 3*y - 6. Calculate the smallest common multiple of 84 and j(z).
84
Let f(j) = -4*j**2 + 55*j - 3. Suppose -v + 86 - 32 = 0. What is the lowest common multiple of f(12) and v?
162
Suppose -6*y + 6 + 96 = 0. What is the smallest common multiple of 54 and (-2)/(-6) - (-1)/(3/y)?
54
Find the common denominator of 2405/(-13884) + (-4)/(-12) and -13/22.
3916
Let u = -22/875 - -143/235375. What is the common denominator of u and -28/807?
4035
Let x = 8/3 + -155/48. Suppose 3*k + 132 = l, 5*l - l = -k + 580. Calculate the common denominator of -3 - (6/(-27) + (-598)/l) and x.
16
Suppose v + 3*v + 12 = 0. Let t be (14/3)/(v/(-9)). Suppose 3*c - 22 = t. What is the lowest common multiple of c and 4?
12
Suppose -t = -2*g + 9516, -3*t = g - t - 4768. What is the smallest common multiple of g and 15?
14280
Let a(p) = p**2 - 4*p + 3. Let h be a(-4). What is the smallest common multiple of (-10)/h - 2232/(-21) and 20?
1060
Let i(n) = n + 33. Let x = 441 - 441. What is the least common multiple of i(0) and -6 - (-8 + x - 16)?
198
Let k = 18482 + -18352. Calculate the lowest common multiple of k and 1820.
1820
Calculate the common denominator of (-39)/208*3360/(-144) and -73/723.
5784
Let n = -21648943661/180222 + 5885925/49. Let d = n - -3/613. Calculate the common denominator of 70/16 - (-5 + 0 + 2) and d.
24
Suppose -4*i - 164 = 2*a, 5*a + i - 4*i = -462. Let l be (-1423668)/a*3/7976. Let y = 1/4985 + l. Find the common denominator of -59/14 and y.
140
Suppose -8 = -4*u + 2*h, -3*u = -2*h + 30 - 34. Find the common denominator of -5/2 and 131/6 + (-11 - -7)/u.
6
Suppose 261 = -5*i - 104. Let d be 5 + i/8 + 2/16. What is the least common multiple of -1 + 1/(d/(-36)) and 102?
408
Suppose -104*l = -93*l + 11. Calculate the common denominator of l/2 - (522/81)/(-1) and 7/48.
144
Let y be (5 - 5) + 3 + 127 + 1. Let t = y + -127. What is the smallest common multiple of 16 and t?
16
Let q = -8641/40 - -216. Find the common denominator of q and ((-28220)/(-510))/(3/4 + 2470/120).
160
Let p = 50 - 32. Let v(l) = -4*l**2 + 24*l + 13. Let x(h) = 3*h**2 - 23*h - 12. Let s(c) = 4*v(c) + 5*x(c). Calculate the lowest common multiple of p and s(-4).
468
Let o(n) = 5*n - 89. Let z be o(-40). Let x = -269 - z. What is the smallest common multiple of x and 34?
340
Let f be (-4)/(-7) - (-168)/49. Suppose -4*o + 4 = -f. Calculate the lowest common multiple of (56/70)/(o/40) and 4.
16
Suppose 3*w + 3372 = -l + 3399, 2*w = 4*l + 60. What is the lowest common multiple of w and 22?
132
Let f = 57275 - 6071117/106. Find the common denominator of f and (-2)/6 + 1/4.
636
Let z(r) = 2*r**2 + 17*r + 42. Suppose -3*j - 9 = 4*k - 3, -27 = 5*j + k. What is the lowest common multiple of 532 and z(j)?
1596
Let s be ((184456/(-18))/(-2))/(3642/9). Let k = -3/607 - s. Calculate the common denominator of -2/3 and k.
3
Let j = -515/282 - 1/141. Let d = 1/65 - 2019/260. Calculate the common denominator of d and j.
12
Let k be (101*(-3)/(-1))/(87 - 89). Let j(v) = -4*v**2 - 7*v + 9. Let q be j(5). Let r = k - q. What is the common denominator of r and -75/58?
58
Let m be (28722/(-24) - -1)/(2035/(-4)). Let n = m + -3/8140. Find the common denominator of -81/274 and n.
2740
Let j = -34 - -126. Let w = j + -86. Calculate the smallest common multiple of w and 65.
390
What is the least common multiple of 344 and (3840/1344)/((-10)/(-28))?
344
Let y(o) = -2*o**2 - 3 + o**3 - 2*o**3 + o + 4. Let l be y(-2). Calculate the smallest common multiple of 12 and 4 + (17 - 4) + l.
48
Let q(t) = -t**2 - 13*t - 32. Let k be q(-6). Calculate the smallest common multiple of 128 and (-6)/10 - (-86)/k*1.
128
Let f = 1078 - 1070. What is the least common multiple of 14 and f?
56
Let n be ((-69)/11754)/(9/951). Let s = n - -6/653. What is the common denominator of 116/(-435)*(0 - (-20)/(-3)) and s?
18
Let d(m) = 86*m - 28 - 101*m - 2. Calculate the smallest common multiple of 42 and d(-3).
210
Let t = -433383 - -501857449/1158. What is the common denominator of t and -23/1544?
4632
Suppose -f + 0*a + 14 = -4*a, 2*a + 28 = -3*f. Let u = f + 14. Let j(n) = -7*n**3 + 83*n**2 + 8*n + 62. What is the smallest common multiple of u and j(12)?
56
Suppose -p = 4*h - 305, -4*p - p - 15 = 0. Let y be ((-11854)/3)/(-272*h/(-14)). Let n = 1/204 + y. What is the common denominator of 35/31 and n?
341
Let n = 261 - 178. Suppose 6*r = -n - 103. Let d = r + 39. Calculate the smallest common multiple of d and 22.
88
Calculate the least common multiple of 299 and 46*54/(-84)*-91.
2691
Let d = -115 + 175. Let w = d - 39. What is the common denominator of 59*(4 + (-81)/w) and -65/2?
14
Let l = 712101371 - 4052568886018/5691. Let y = -26725 + 14484945/542. Let g = y - l. Find the common denominator of g and -17/18.
126
Let m = 46043 - 46018. What is the lowest common multiple of m and 7870?
39350
Let x be (-90)/(-21) - (-2 + (-16)/(-7)). What is the common denominator of x/(-26) + 7615/14430 and 61/12?
444
Let s(w) = 2*w**2 - 25*w + 54. What is the lowest common multiple of s(10) and 1258?
2516
Suppose 5*d - 33 = y, 30 = -3*y + 4*d - 36. Find the common denominator of 25/12 and -1 - 146/(-154) - (-9)/y.
924
Suppose -293 = -9*f + 112. What is the common denominator of (-65)/(19/(-5) - 9/f) and -125/18?
36
Let v(t) = 4*t + 5. Let b(j) = 3*j + 4. Let p be (1 + -2)/(13/39). Let q(k) = p*b(k) + 2*v(k). Calculate the lowest common multiple of 4 and q(-9).
28
Let m = -11 + 15. Let f be -5 + m + (-2759)/1. Let d = f - -11103/4. Calculate the common denominator of d and -63/4.
4
Let s = -379093/5848 + 2765/43. Find the common denominator of s and 95/128.
2176
Let h = -24932 - -149545/6. Find the common denominator of h and -13/2105.
12630
Let n = -80309/10 - -32237/4. Let a = -43/5 + n. Find the common denominator of a and 31/36.
36
Let j(t) = -t**3 + 7*t**2 - 12*t + 7. Let h be j(4). Suppose -h*m + 138 = -191. What is the smallest common multiple of 2 and m?
94
Let n(p) = 60*p + 1066. Calculate the lowest common multiple of 8 and n(-13).
1144
Let i = -27/127 - -6293/1524. Let j be (902/(-5))/((-6)/30). Find the common denominator of j/(-132) - (3/(-12) + 1) and i.
12
Let w(j) = j**2 - j + 4. Let h(m) = -1961*m + 19662. What is the least common multiple of h(10) and w(4)?
208
Calculate the co