r - a = -145. Let d = -30 - r. Calculate the lowest common multiple of d and 6.
48
Let n(x) = x**2 + 6*x - 28. Suppose 0 = -2*a - 2, 7*y = 3*y + 4*a + 360. Let q = -101 + y. Calculate the lowest common multiple of n(q) and 36.
396
Suppose 2*w - 15 + 6 = z, 5*z + 3*w = 20. Suppose n + 0 = 25. Let r = n - z. Calculate the smallest common multiple of r and 1.
24
Suppose 5*i - 102 = 8*i. Let s = 46 + i. Suppose -2*o + s = 3*y, -4*y - 5*o + 2 = -14. What is the smallest common multiple of y and 3?
12
Let a(m) = -4*m - 16. Let x be a(-5). Suppose -3*f + 7*f + 2*v + 332 = 0, v = x. Find the common denominator of -81/22 and (((-25)/(-10))/(-5))/((-16)/f).
352
Let c = -96705 + 48352417/500. What is the common denominator of c and 71/1250?
2500
Suppose 0 = -8*x + 10*x - 232. Suppose -2*a = 3*p - 97 - 259, x = p + 2*a. Calculate the common denominator of 605/p - (-3)/4 and -29/40.
120
Let v = 3255 + -2663. Calculate the smallest common multiple of v and 6.
1776
Let i = -34 + 34. Suppose i = 5*q - 2*c - 94, -36 = -5*q - c + 52. Suppose -2*o + 4 = l - 6, 0 = 5*o - 4*l - 12. Calculate the least common multiple of q and o.
36
What is the least common multiple of -43 + 44 - (-880 + 1 + 4) and 72?
5256
Let p = 602 + -598. Suppose -p*y + 3303 = 599. Calculate the lowest common multiple of y and 4.
676
Let u = -323 - -411. Suppose -3*v = -u - 128. What is the least common multiple of v and 6?
72
Let k = 188/403 - 2839/53599. Find the common denominator of -47/56 and k.
1064
Let z be 2 + 1 + -18*3/(-9). What is the lowest common multiple of (-22)/66 - (-183)/z and 18?
180
Let s be ((-5)/(-20) - 3) + (-2)/8. Let n(b) = -5*b - 5. Calculate the lowest common multiple of (-39)/2*10/(-15) and n(s).
130
Suppose 2*m + 6 = m + d, -2*m + 5*d = 18. Find the common denominator of 5/(12*(8/m)/20) and -31/8.
24
Let t(o) = -o**3 - 23*o**2 + 31*o - 962. What is the smallest common multiple of t(-26) and 316?
20540
Let q(t) = t**2 + 2*t - 103. Let p be 6 + (-10)/(-2) + -24. Calculate the least common multiple of q(p) and 20.
40
What is the common denominator of 80/(-27) + (9 - 11 - -5) and -79/186?
1674
What is the common denominator of (8511/(-12780) - (-2)/3)*13375/(-150) and 83/4?
1704
Calculate the common denominator of 97/1140 and 8 - (-2)/(-3192)*13027.
1140
Let x(f) = 19*f - 25. Let w be x(6). Let c = w - -55. Find the common denominator of -56/27 and 370/c + (-2)/(-9).
216
Suppose -6*m + 122 = -2*u, -5*u = -m - 4*m + 105. What is the least common multiple of 2570 and m?
5140
Let m(a) = -9*a**2 - 306*a + 12. Calculate the smallest common multiple of m(-34) and 1080.
1080
Suppose 8*l - 85 = 3*l. Let c(i) = 25*i + 7*i - 169395*i**2 - 82 + 169394*i**2. Calculate the lowest common multiple of l and c(29).
85
Let d = -1469 - -791. Let h = d - -718. What is the smallest common multiple of h and 72?
360
Suppose -40 = -960*f + 932*f + 240. Let u(k) = 2*k + 6. Let o be 21/3 - (1 + -1). What is the lowest common multiple of f and u(o)?
20
Let t = 24301/78 - 3762/13. What is the common denominator of -31/5902 and t?
17706
Let w(v) = 2*v**2 + 53*v + 46. Let m be w(-24). Let t = m + 82. Calculate the lowest common multiple of t and 22.
88
Suppose -529*g = -525*g - 456. Calculate the smallest common multiple of 304 and g.
912
Suppose -y = 6*y - 28. Let w(d) = -d - 10. Let k be w(-10). Suppose k*q + 6*q = 510. What is the lowest common multiple of y and q?
340
Let i(x) = x**2 - 8*x - 1084. Calculate the lowest common multiple of 980 and i(40).
980
Let r(o) = -27*o + 150. Calculate the lowest common multiple of 136 and r(-2).
408
Let w be (-6)/(-4)*95*(-24)/(-18). Let u = w + -89. Calculate the common denominator of (7 - 6) + u/(-30) and 81/20.
60
Suppose -5*l = 2*m + 12, 4*m = 9*m + 5. Calculate the common denominator of ((-2)/(-8))/((-127)/(-76) + l) and -143/60.
300
Suppose 5*p - 5*q = 0, 3*p + q - 32 = -4*q. Suppose -4*v - p = 0, -5*a + 3*v - 7 = -15. Suppose -a - 34 = x. Find the common denominator of -22/7 and x.
7
Suppose 2*d = -10, 0 = q - d - 2*d - 13. Suppose 3424*g - 40 = 3432*g. What is the smallest common multiple of 7 and 11/((-330)/(-432)) - q/g?
14
Let i be (-8*4/12)/((-2)/3). Let r(c) = -c**3 + 6*c**2 + 6*c - 3. Calculate the smallest common multiple of (10*6/12)/(2/i) and r(6).
330
Calculate the common denominator of 51/20 and ((-720)/274800)/(4/(-78)).
4580
Let m be 21713894/(-15054930) - (-5)/3. Let x = m - -22/3699. Calculate the common denominator of x and -163/30.
330
Let i = -2777409/509620 - 1/25481. Find the common denominator of i and (-144)/(-14) - (3 + 5).
140
Let u = 2606/19 - 1664132/12141. Calculate the common denominator of u and -24/923.
8307
Let o = -115 + 887. Let z = -6201/8 + o. What is the common denominator of 89/270 and z?
1080
Let y = -12210 - -6186. Let u = -36017/6 - y. Calculate the common denominator of 95/24 and u.
24
Let a = 14495 + -13829. Calculate the lowest common multiple of a and 18.
666
Suppose 41*s - 37*s = -8. Calculate the least common multiple of 9 and (s - -1) + 6 + -69 + 95.
279
Let g(t) = -7 - 1 - 4 + 17 - 2*t. Let f be g(1). Suppose -f = -2*p - 1. Calculate the lowest common multiple of p and 10.
10
What is the common denominator of ((-2)/20)/((-21)/(-1281)) and 21/20?
20
Let x be (1224/(-120))/((-2)/(-120)*-2). Let j = x - 300. Suppose 0 - 8 = -4*p. What is the least common multiple of p and j?
6
Let i(h) = 3 - h**3 + h + 14 + 27*h**2 + 0*h**3 + 5 - 51*h. Calculate the smallest common multiple of 6 and i(25).
66
Let t(q) = 392*q**2 + q - 2. Let o be t(3). Let k = -63569/18 + o. What is the common denominator of k and ((-1)/(-13) - 0) + 15531/(-117234)?
18
Let o(w) be the second derivative of -w**5/20 + 7*w**4/12 - 2*w**3 + 13*w**2 - 2*w + 51. What is the lowest common multiple of 30 and o(5)?
240
Find the common denominator of 11205/(-90)*(-4)/1368 and -43/68.
3876
Let m(j) = -16*j**2 - 117*j + 1. Let h be m(-7). What is the common denominator of 33/68 and (-32)/(-3) - ((-279)/h - -9)?
204
Let b(n) = n**2 - 41*n + 52. Let d = 431 - 391. Calculate the smallest common multiple of b(d) and 9.
36
Let q = 79173/8 - 9907. Calculate the common denominator of q and 67/90.
360
Suppose v + 3*y = -135, 0 = 4*v - 3*y - 2*y + 625. Let d = 22 + -8. Calculate the lowest common multiple of (-3)/12 - v/24 and d.
42
What is the common denominator of 2/(-49)*(27 + (-12654)/480) and -69/16?
3920
Calculate the common denominator of (-140)/7200 - 11/(-44) and 7/1620.
3240
Let i(m) = -m**2 - 7*m + 1. Let b be ((-12)/7)/(13/(-637)). Let c = -71 + b. Calculate the smallest common multiple of c and i(-6).
91
Let f(l) = -l**2 + 14*l - 15. Let i = 45 + -33. Let o(t) = 34*t**2 + 5*t - 6. What is the least common multiple of f(i) and o(1)?
99
What is the common denominator of -79/70 and ((-57)/24)/((-176)/32 - -8)?
140
Let j(z) = -z**3 - 3*z**2 - 7*z - 13. Let n be j(-3). What is the smallest common multiple of 58 and (-1760)/(-90) - n/(-18)?
580
Suppose 72 = 6*p - 0*p. Suppose -418 = 8*w - 27*w. What is the least common multiple of -2*(p/18)/(2/(-6)) and w?
44
Let g be (12520/52)/5 - (-2)/(-13). Let k = g + -54. Let i = k + 16. Calculate the least common multiple of 10 and i.
10
Let s = -83 - -76. Let a(j) = 300*j - 25. Let l be a(s). Let q = -59509/28 - l. Calculate the common denominator of -49/16 and q.
112
Let n(j) = 3*j**2 - 60*j + 402. What is the least common multiple of 6 and n(8)?
114
Let b = -4804 + 96147/20. What is the common denominator of 2/(-5)*(-1075)/(-140) and b?
140
Suppose -5*a + 10*a - 6050 = 0. Find the common denominator of 49/24 and (8/70)/(924/a).
1176
Let k = -491/4 - -126. Let u = -389 - -379. What is the common denominator of (1083/u)/19 - -5 and k?
20
Suppose -1 = 4*y - 49. Calculate the lowest common multiple of y and (-7 - (-954)/54) + 8/(-12).
60
Suppose 1363 + 12763 = 611*f + 684. What is the least common multiple of f and 110?
110
Let q = -4147/4746 - 60/113. Calculate the common denominator of -51/2 and q.
42
Find the common denominator of (-6)/(-51) - (14 - (-366516)/(-24888)) and 69/22.
1342
Let u = -51398/9 - -7338601/1287. Let f be 108/(14 - -4) + (-24)/13. Let i = u + f. Find the common denominator of 107/12 and i.
132
What is the common denominator of (-1890)/(-672)*(-6 + 8) and 121/2334?
9336
Suppose -3*f +