common denominator of 61/65 and d.
130
Let p = -421 + 428. Let x = -1 + 8. What is the lowest common multiple of x and p?
7
Let t = 10643/2132 + -196/41. Find the common denominator of t and -121/130.
260
Let z = -144 - -142. Find the common denominator of (-232)/(-21) + z - (-4)/14 and 56/9.
9
Suppose 0 = -q + 8 - 6. Find the common denominator of (3/9 - 4) + q/2 and -37/3.
3
Let r = 711403/50 + -14226. What is the common denominator of 23/100 and r?
100
What is the common denominator of ((-21)/6272)/(2/(-35)) and 97/20?
1280
Let g = -707 - -737. Calculate the lowest common multiple of g and 45.
90
Find the common denominator of -1 - (112/(-10) + 0) and ((-70)/(-42))/((-36)/27).
20
Calculate the least common multiple of 18 and ((-49)/2 - -5)/(2/(-4)).
234
Suppose -4*l + 821 = 345. What is the common denominator of l/(-448) + 6/8 and -45/4?
64
Let b = -1375/54 - -155/6. What is the common denominator of 221*(-24)/(-2448) - (1 + 0) and b?
54
What is the common denominator of 7/254 and 12/6 - -7*33/36?
1524
Suppose -8*k - 5*s - 475 = -3*k, 0 = 5*k - 5*s + 525. What is the common denominator of 37/18 and 310/k*6/4?
180
Let b be 17/((-153)/(-60)) - (-2)/(-3). Suppose -b*n + 11*n = 80. Calculate the lowest common multiple of 4 and n.
16
Let v = -1/85 + 5449/765. Let f be -2 - -1 - 2 - (-38 + 41). Calculate the common denominator of (76/(-40))/(f/(-10)) and v.
18
Let t = -115241/22 - -5240. Let j be 2/(-6) + (-128)/(-6). Find the common denominator of t and ((-6)/80)/(j/(-98)).
220
Let n = -371 + 379. Calculate the least common multiple of 20 and n.
40
Let f = 3158 - 265285/84. Find the common denominator of -25/21 and f.
84
Let c be 4/6 + 11/(-3). Let p be (-2693)/(-4) + c + 4. Let r = p - 671. Calculate the common denominator of r and -17/20.
20
Let u(o) = 2*o**3 + 11*o**2 - 12. What is the smallest common multiple of 13 and u(-5)?
13
Suppose -5*b = -5, c - b + 256201989 = -0*c. Let f = c - -8710235993/34. Let j = -18579 - f. What is the common denominator of -73/16 and j?
272
Suppose h - 5*h + 51 = 3*o, 5*o - 71 = -2*h. Let n(p) = -p**3 + 14*p**2 - 12*p - 4. What is the smallest common multiple of n(o) and 3?
9
Let s(u) = u**3 + 3*u**2 + u + 1. Let k be s(-2). Suppose k*y = y + 14. Calculate the common denominator of -17/8 and (-1815)/(-350) - 2/y.
40
Let w(s) = 26*s**3 - s**2 + 2*s. Let m be w(1). Let p = -23 + m. What is the smallest common multiple of p and 8?
8
Let x(f) = 5*f + 4. Let z be x(-3). Let m(k) = -k - 6. Let v be m(z). Suppose 57 = v*s + 7. Calculate the least common multiple of 8 and s.
40
Suppose -16*u = -3975 - 1257. Calculate the smallest common multiple of 27 and u.
2943
Let n = 39275 - 4948529/126. Calculate the common denominator of -47/33 and n.
1386
Let w = 46 - -6. Let h = w + -43. What is the lowest common multiple of 15 and h?
45
Let l = -428 + 433. Let a = 22 - 11. Let z = a - l. What is the least common multiple of 2 and z?
6
Let k = 3023312518/13531 - 223436. Let d = k + -446557/230027. What is the common denominator of -3/4 and d?
68
Let o = 1122 - 1066. What is the lowest common multiple of o and 7?
56
Let a(r) = 3*r - 3. Let z(k) = k**3 + 9*k**2 - 13*k - 13. Let n be z(-10). What is the smallest common multiple of (-2)/3*(-4 - n) and a(2)?
42
Suppose 15 = -5*z, 3*p - 12 = 2*p + 3*z. Calculate the least common multiple of p and 8.
24
Let w = 7188 - 43001/6. Let z = -22/823 + 29993/44442. What is the common denominator of z and w?
54
Let b = -1377 + 1380. Calculate the least common multiple of b and 8.
24
Let p = -3643/9414 + -1/523. What is the common denominator of p and (-3 - 156/(-30))/((-4)/10)?
18
Let t(v) = 2*v**3 - 23*v**2 + 12*v - 8. What is the least common multiple of 36 and t(11)?
36
Suppose 5*q = -5*w - 10, 3 = 5*w - 4*w. Let h = 160976/27855 + -4/3095. Calculate the common denominator of h and 238/20 - (-8 - -5 - q).
90
Suppose 5*y - 2*j - 2*j - 160 = 0, 3*j + 15 = 0. Suppose 0 = 9*r - 5*r - y. Calculate the least common multiple of r and (-40)/(-7) - (-2)/7.
42
Let o = -19 + 27. Let g = 926 + -886. Calculate the lowest common multiple of o and g.
40
What is the common denominator of (-31)/(-156)*34 + (70 - 75) and (71 - -2)*2/(-20)?
390
Let g = 982 + -966. Calculate the smallest common multiple of 56 and g.
112
Suppose 2*t + 22 = 4*w, 7*t = 5*t - 2*w + 2. What is the common denominator of -149/6 and (26/3)/((-6)/t)?
6
Let x = -10/3 + 8. Calculate the common denominator of (-4)/6 + (-92)/54 and x.
27
Let i be 7*3/(-9)*(-28)/(-45227). Let a = i - 61817/16614. Find the common denominator of -49/18 and a.
18
Let k(r) = r**3 - 7*r**2 + r - 9. Let c be k(7). What is the smallest common multiple of 16 and 5 + ((-2)/2*-2)/c?
16
Let k(m) = -3*m. Let p be k(7). Let d = 3 - p. Calculate the smallest common multiple of 9 and d.
72
Suppose 17*p = 14*p + 15. Let x be 3168/60 + 1/p. Find the common denominator of (-6 + 3)/6*x and 75/22.
22
Let z be 317501961721/90*(-12)/260. Let r = z + 162821527. Let y = -2/975 + r. Find the common denominator of 50/7 and y.
42
Let f = 9 - 5. Let b be ((-4)/5)/((-4)/70). Let n = 18 - b. Calculate the least common multiple of f and n.
4
Suppose w + 5*u = -1, 0 = 4*w - 3*u + 4*u - 15. Suppose 5*g + 0*k - 38 = -4*k, w*g + 4*k - 28 = 0. What is the least common multiple of 22 and g?
110
Let v = 1517/3 + -557. Let d = v + 259/5. Calculate the common denominator of d and 37/5.
15
What is the common denominator of ((-1)/(-308))/(685/(-690) - -1) and 28/121?
1694
Let l(w) = w**2 - 14*w - 71. Suppose 5*t = 83 + 32. Let m = -14 + t. What is the lowest common multiple of l(18) and m?
9
Suppose 2*g - 2*s = 24, g + 4*s + 19 - 21 = 0. Let p(u) = u**2 + 4*u - 7. What is the lowest common multiple of p(-6) and g?
10
Let v = -38757/1654 + 108061093/5332496. Let j = -40103 - -16161501/403. Let i = j + v. Find the common denominator of i and -87/16.
16
Suppose 5*i - 2*o = 27, 3*i + 27*o = 24*o + 33. What is the least common multiple of 58 and i?
406
Let o(j) = -7*j**2 - 2*j. Let n be o(-5). Let i be n/(-12) + 2/8. Let p = i + -10. Calculate the lowest common multiple of p and 2.
4
Suppose 135 = -6*y + 399. Calculate the least common multiple of y and 88.
88
Let m(r) = -r - 5. Let d be m(3). What is the least common multiple of d + 8 - (0 - 10) and 4?
20
Let f(j) = 2*j**2 - 4*j - 8. Suppose -5*v + 10*v - 25 = 0. Calculate the smallest common multiple of f(v) and 20.
220
Suppose -2*j + 23 = -j + 3*g, -3*g - 19 = -2*j. What is the smallest common multiple of 28/49 - (-2036)/j and 7?
1022
Suppose -y = -9 + 12. What is the smallest common multiple of 8 and (48/(-3))/(-4) + 31 + y?
32
Let w = 13 + -18. Let h(a) = a**3 - 9*a**2 + 20*a - 41. What is the smallest common multiple of h(7) and (-3 + 4/2)*w?
5
Suppose 8 = -2*x, 2*x + 61 = -3*t - 2*x. Find the common denominator of (2/(-30))/(18/1545) and (t/100)/(4/170).
72
Let p be (3/(-8))/(7/59493). Let i = p + 3191. Find the common denominator of i and (-2)/10*(-175)/2.
8
Let v(p) = 5*p**2 + 14*p - 10. Let s be v(-11). Find the common denominator of 2030/s + 4/14 and -18.
9
Suppose 58*u - 3675 = 37*u. Calculate the least common multiple of 275 and u.
1925
Suppose z = 447 - 438. What is the smallest common multiple of 504 and z?
504
Suppose -5*x + 17*k = 19*k - 24, 2*x = -4*k + 16. What is the least common multiple of x and (3 + -1 - -11)/1?
52
Let a(v) = -v**3 + 3*v**2 + 5*v + 18. Calculate the lowest common multiple of 128 and a(4).
1408
Suppose 2*y - 70 = 2*p - 4, 3*p = -15. Suppose 5*z - 14 = -s + 15, -4*s - y = -4*z. Calculate the lowest common multiple of z and (1 - -1) + (-5)/(-1).
42
Let z = 1053 + -3155/3. What is the common denominator of -61/69 and z?
69
Let w be (456/112)/((-160)/(-238)). Let u = 35564 + -1138281/32. Let j = w + u. What is the common denominator of -93/16 and j?
80
Find the common denominator of (-12)/(-24) - (-237)/168 and -31/21.
168
Let w = -85308874/89925 + 8/29975. Let k = 22645/24 + w. Calculate the common denominator of k and -109/14.
56
Suppose 2*b + 5*s - 104 = 0, 3*b - s = -0*b + 122. Let a = 0 + b. Calculate the common denominator of (-38)/a*108/(-48) and 19/9.
252
Let q(t) = 6*t**2 + 3*t - 11. Let p(w) = 7*w**2 + 2*w - 12. Let a(c) = 5*p(c) - 6*q(c). What is the smallest common multiple of a(-6) and 48?
144
Suppose