 least common multiple of 7/3 + (12/(-9) - -1) and c?
20
Suppose -12*g - 20*g = -5792. Suppose 5*x - g = 29. Calculate the smallest common multiple of 9 and x.
126
Calculate the common denominator of 82/15 and (-1 + 2)/((-172293)/(-12031)).
3795
Find the common denominator of (139/(120096/180))/(5/(-124)) and 7/30*(-94)/(-14).
30
What is the lowest common multiple of 14706/144 - (1/8 - 0/(-11)) and 748?
2244
Let m(x) = 4*x**2 + x + 18. Let z = -2059 + 2176. What is the smallest common multiple of m(7) and z?
1989
Suppose 0 = 2*f - 7*f + 3*b + 69, -2*b - 26 = -2*f. What is the smallest common multiple of 19 and (1242/f)/9 - (-1)/(-5)?
171
Let u be (7/(-833))/(3/(-9)). Let v = -5608/595 + u. What is the common denominator of -127/180 and v?
180
Calculate the common denominator of (22 + -19)*(-134)/48 and 1 + (-10)/14 - 68595/(-11900).
40
Suppose -4*m + 166 = 2*n, 44*m = 39*m - 3*n + 207. What is the smallest common multiple of m and 708?
4956
Let t = -760744/1845 - -3712/9. What is the common denominator of -31/13 and t?
2665
Let k be (722/3 + 2)/((-23)/(-69)). Suppose k + 252 = 35*u. What is the smallest common multiple of 16 and u?
112
Let t = 59/48 + -1501/336. Find the common denominator of t and 31/27.
189
Let s = 12639 + -6306885/499. What is the common denominator of 97/2 and s?
998
Calculate the common denominator of (-18)/(-21) - (70838624/2091936 - 33) and 7/8.
74712
Let s = 82986 - 18920767/228. What is the common denominator of 29/456 and s?
456
Let n(k) = 375*k + 4145. Calculate the least common multiple of n(-9) and 154.
770
Let x = 54756190 + -1479988427/27. Let p = -58213 - x. Let g = p - -2347/108. What is the common denominator of -149/6 and g?
12
Suppose -16*x + 201758 = 80878. Let p = -513677/68 + x. Find the common denominator of -53/24 and p.
408
Let x(n) = -n**3 - 4*n**2 + n + 3. Let y be x(-4). Calculate the common denominator of 1965/(-200) - 1*(-1)/5 and y/12*(-666)/(-30).
40
Calculate the common denominator of -21/22 and (-5954)/302509*(0 + 2)*(-6)/(-48).
29062
What is the common denominator of -3*((-114)/72*-5 + -1)*2 and -9/32?
32
Let w = 47376 - 4737549/100. Find the common denominator of -73/76 and w.
1900
Let c(k) = k**2 - 7*k + 21. Suppose 29 = 16*l - 35. Suppose -16 - 10 = -l*v + 2*g, 3*g - 3 = 0. What is the least common multiple of c(v) and 18?
126
Calculate the lowest common multiple of 14 and (-5062)/(-1) + (257 - 246) - (1 - 8).
35560
Let v = 4569 - 4566. Calculate the smallest common multiple of (-12)/8*2 - -12 and v.
9
Let m = -691074999211/44359435500 - -2085743/215861. Let v = m - 2/17125. Calculate the common denominator of 45/14 and v.
84
Let k = -746 - -765. Calculate the lowest common multiple of k and 49.
931
Let b = -14069 - -14081. What is the smallest common multiple of 918 and b?
1836
Let v = -180 + 150. Let g(i) = -i**3 - 29*i**2 + 28*i - 16. What is the lowest common multiple of 52 and g(v)?
572
Let m = 177 + -105. Calculate the lowest common multiple of m and 4/9 + ((-118976)/468)/(-13).
360
Let p(w) = -4*w - 33. Let d(t) = t. Let o(g) = -6*d(g) - p(g). What is the smallest common multiple of 24 and o(3)?
216
Suppose -q = 2*o, 4*q + 2*o - 40 = -28. Calculate the least common multiple of q and 844.
844
What is the common denominator of (-42)/(-112)*156/270*5 and 53/552?
552
Suppose -2*v - 4*s = 1443 - 4683, 0 = -2*v + 3*s + 3254. Calculate the lowest common multiple of 252 and v.
14616
Let r(q) = -11*q**2 + 349*q + 118. Calculate the lowest common multiple of 2430 and r(32).
26730
Suppose -3*q - g = -53, -2*g = -4*q + 30 + 64. Let z = 30 - 10. What is the lowest common multiple of q and z?
20
Let s(d) = -d**2 + 4*d + 8. Let r be s(7). Let k(a) = a**3 + 12*a**2 - 12*a + 8. Let b be k(r). What is the lowest common multiple of (4 - -1) + 1 + b and 8?
8
Suppose -154 = -g + 5*z + 800, -5*g - 4*z = -4857. What is the least common multiple of 54 and g?
17442
Find the common denominator of -97/252 and -61 + 67 - (-3314)/(-560).
2520
Suppose -115*y = -16208 + 3558. What is the least common multiple of 55 and y?
110
Find the common denominator of 13 + (-4563)/261 + 5 and 97/580.
580
Let p be ((-101090131882228222)/(-66684))/((-40)/(-15)). Let n = -568484185943 + p. Let i = n - -3/5557. Find the common denominator of i and -71/12.
48
Suppose -1185 = 6422*i - 6659*i. Suppose -3*s + 220 = s. What is the least common multiple of i and s?
55
Calculate the smallest common multiple of 6/14 + (2*9/7 - -6) and 1126.
10134
Let i = 8 - -7. Suppose 44*j - 3360 = 34*j. Suppose -3*t = -i*t + j. Calculate the least common multiple of t and 16.
112
Let g = -1675227/2 - -837587. Calculate the common denominator of 0 + 1/((-96)/(-17)) and g.
96
Let y be 6/(-9) - 24/(-9). Suppose 0 = s - 4*j + 3390, -y*s + 2*j = -2*j + 6800. Let n = -34187/10 - s. What is the common denominator of 1/8 and n?
40
Let z(u) be the second derivative of u**3/6 + 12*u**2 + 14*u + 2. What is the lowest common multiple of z(-9) and 90?
90
What is the smallest common multiple of (-28)/6*336/(-490)*5 and 408?
816
Suppose 2*l - 30 = 4*j, 20*l = 17*l - 3*j + 36. What is the lowest common multiple of 78 and l?
78
Let c be (1 + 3 + -5)*0. Suppose q = -c - 4. What is the common denominator of ((-980)/(-44))/5 + q and 57/2?
22
Let z = 792915/38 + -20865. Let p = 166667/20 + -8333. What is the common denominator of p and z?
380
Suppose -13*f + 4*f - 8181 = 0. Let z be (0 - f/6) + 4. Let u = 2501/16 - z. What is the common denominator of u and -63/2?
16
Let u = 8896 - 925153/104. Let j = 6302 + -573480/91. Find the common denominator of j and u.
728
Suppose -30*g = -35*g. Calculate the common denominator of ((-12)/14 - g)*7553/332 and 7/22.
22
Let x(a) = -47*a - 51. Let i be x(-20). Let f = 21283/24 - i. Calculate the common denominator of f and -61/18.
72
Let g = -500 - -828. Let n = g + -312. What is the smallest common multiple of n and 48?
48
Let h = -19222305/88 - -218436. What is the common denominator of ((-4)/6)/((-80)/(-129)) and h?
440
Let k = 85065319/540 - 315057/2. Find the common denominator of k and 181/1020.
9180
Let a(k) = k**3 - 41*k**2 + 48*k - 102. Suppose 36*c - 37*c = -20. What is the lowest common multiple of c and a(40)?
2180
Let s = 7232/945 + -216/35. Calculate the common denominator of s and -68/195.
1755
Suppose 821*w = 402*w + 393*w + 115284. What is the smallest common multiple of w and 10?
22170
Let b(f) = 3*f**2 - 8*f - 11. Let q be 2*3/18*21. Calculate the least common multiple of 16 and b(q).
80
Find the common denominator of (1 - 69/78)*(-1073)/(-185) and 81/70.
910
Suppose 5*x - 123 = t, 10*x + t + 27 = 11*x. What is the smallest common multiple of x and 616?
1848
What is the common denominator of -91/408 and 150/68*(20/(-70) - (-238)/1176)?
408
Let p be ((-1041)/(-117) + -5 + -4)*-33. Let d = p + -2257/663. Find the common denominator of -65/3 and d.
51
Let o = 116672 + -78753569/675. Find the common denominator of o and -56/225.
675
Calculate the common denominator of 39/649 and 70097/(-22538) + (-2 - -4) + (-2)/(-2).
1298
Suppose -4*k + 22 = -2*k - 5*x, 0 = -5*x - 10. What is the common denominator of (286/(-4) + k/12)/(-36) and 55/4?
36
Let u = 319 - 210. Let y = u + -158. What is the common denominator of 49/4 and y?
4
Suppose -1036*c + 1039*c + 2*i = 19312, -i - 7 = 0. What is the smallest common multiple of 6 and c?
19326
Let z = 44 + 4. Let o = z - 42. Calculate the common denominator of -1 + (-6)/(-18) - (-187)/o and 55/14.
14
Let c = 214735069/990 - 216903. Let w = -1/99 + c. Find the common denominator of 101/110 and w.
110
Suppose -a - 2 = -2*d + 17, -3*a - 22 = -d. Let w = d - 6. What is the lowest common multiple of 87 and w?
87
Let d = -2632 + 3481. What is the lowest common multiple of 45 and d?
12735
Let z = 12497 + -499913/40. Let p = 1825445/184 + -9921. Calculate the common denominator of z and p.
920
Calculate the common denominator of -149/114 and (45/98496*-4)/(6*2/16).
2052
Let g = 44 - -56. Suppose -5*o - z = 4*z - g, o = -5*z + 36. Let u = o - 4. What is the least common multiple of u and 24?
24
Suppose -26*l + 44 = -268. Calculate the smallest common multiple of ((-63)/(-28) - -1)*l and 6.
78
Let t = 100 + -67. Suppose 1 = 2*d - 4*i - t, -2*d = 4*i + 6. What is the smallest common multiple