the least common multiple of 12 and q.
300
Let c be (-1)/((-8)/336*2). Suppose 195 = c*y - 435. Suppose -3*f = -56 + 2. Calculate the smallest common multiple of y and f.
90
Let m(c) = 2*c**2 - 35*c - 184. What is the least common multiple of m(-8) and 32?
224
Let l be 30/(-9) + 16/12 + 33. Suppose -4*z = 3*p - 3, 5*p + 2*z - 4*z = l. Calculate the least common multiple of 45 and p.
45
Suppose -9*i - 29 = 79. Let d be 44/(-12)*(0 - -63). What is the common denominator of (-8)/i + 235/d and -93/8?
616
Let p = 1542449 + -6850015965/4441. What is the common denominator of p and 31/3?
13323
Let v be -2*2 - (-3 + -10 + 6). Suppose -5*s = -v*u + 23, -u - 4*s + 1 = -9*s. Suppose 16 = -3*y + 52. Calculate the smallest common multiple of u and y.
132
Let o(y) = -2*y**2 + 12*y - 19. Let z(r) = r**2 - 6*r + 9. Let w = -5 - 0. Let f(q) = w*z(q) - 3*o(q). What is the smallest common multiple of 27 and f(6)?
108
Let u(a) = -a**3 - 58*a**2 + 240*a - 233. What is the least common multiple of u(-62) and 11?
2893
Let g(c) = -812*c - 4040. What is the least common multiple of g(-5) and 15016?
75080
Let d(k) = -1006*k + 1033. Calculate the smallest common multiple of d(1) and 276.
2484
Let f = 9788023/1224 + -63951/8. Let o = f + 4/17. Calculate the common denominator of o and (-4360)/(-11520)*-12 + 6/9.
72
Suppose 7*d = 456 + 972. Suppose 4*q + 74 = c, -2*q + d = 3*c - 5*q. What is the least common multiple of 24 and c?
264
Let g = -209 - -259. Suppose q - g = i, q + i - 35 = 13. Calculate the least common multiple of q and 63.
441
Let x(k) = -103*k - 111. What is the smallest common multiple of x(-9) and 952?
5712
Suppose 15 = 3*y + 2*y, 0 = c + 5*y - 30. Suppose 5*l = -4*v - c, -v + 21 = -5*v + l. What is the common denominator of -93/14 and (1 + -1 - v/110)*-23?
154
Let u = -573440860087 - -178497803723879799/311275. Let j = u + -2/12451. Calculate the common denominator of 9/2 and j.
50
Suppose 150*u = -4981 + 31381. What is the lowest common multiple of u and 784?
8624
Suppose -30*x + 19*x = -132. Suppose x*v = 13*v + 2*u - 101, 0 = -2*v + 4*u + 218. Calculate the smallest common multiple of v and 9.
315
Let o be (-4*(-1 - 0))/(-2). Let l be (-3)/(2*1/o). Suppose -3 = l*u - 39. Calculate the lowest common multiple of 18 and u.
36
Let y = 787982/21 - 37516. Let i = -47/7 + y. What is the common denominator of i and 23/14?
42
Let n(z) = 4*z**2 - 35*z - 31. Let c be n(21). Suppose -15*q = -c - 22. Calculate the smallest common multiple of q and 20.
340
Suppose 2*o - 456 = -2*o + 4*u, o = -u + 114. Let a be (1695/(-10))/((-1)/o). Let x = a - 347947/18. What is the common denominator of x and -121/24?
72
Calculate the common denominator of (76/(-570)*63)/((-5024)/(-30)) and 7/785.
6280
Let p(x) = x**2 + 48*x - 310. Let i be p(-54). Suppose i*u - 167 = 519. Calculate the smallest common multiple of 49 and u.
49
Calculate the common denominator of (0 - 27/102)*(-18)/96 and 9/17.
544
Suppose -4 = -4*w + 3*d, -d = 4*d - 20. Suppose 5*l + w*q - 61 = 27, l = 5*q + 6. Let i = 18 - l. What is the least common multiple of 6 and i?
6
Suppose -11840 = -5*x + 2*j, 11*x - 15*x + 6*j = -9450. What is the lowest common multiple of 948 and x?
4740
Let i = -10174461755/4296 + 2368357. Calculate the common denominator of i and 127/6.
4296
Suppose -3*r = 5*j + 148 + 186, 602 = -5*r + 3*j. Let f = -193 + 192. Calculate the lowest common multiple of r/(-12) - f/6 and 31.
310
Let w be ((-44)/33)/((-2)/(-3)). Let x be (w - 536/10)/(1/(-20)). Let d = 3274/3 - x. Calculate the common denominator of d and 121/6.
6
Let n be 20*(-8)/(-32)*(-3786)/(-15). Let x = n + -15175/12. Calculate the common denominator of x and 69/4.
12
Let q = 35081/4584 - 16/573. What is the common denominator of (-3483)/688 - 1/(-16)*4 and q?
16
Let n(m) = m**3 - 5*m**2 + 4*m. Let u be n(4). Let a = 2 - u. Suppose 60 = 2*t + a*t. What is the least common multiple of 27 and t?
135
Let n(a) = -a**2 - 161*a - 2031. What is the smallest common multiple of n(-14) and 2124?
6372
Find the common denominator of 21/80 and (-1464)/(-384) - ((-3)/1 + -5 + 13).
80
Let a = -19718 + 394241/20. Suppose 2*w + 27 = 81. Calculate the common denominator of (-9)/(-48)*132/w and a.
60
Let d be 6/(-385)*(-21530)/47. Let y = -2/517 - d. What is the common denominator of 38*5/40 - 12/30 and y?
140
Let j = 60/979 + 65353/3916. Let b = -340/207 - 283615/29601. Let u = b - -189/26. Find the common denominator of u and j.
44
Calculate the common denominator of (30722886/1810350 - 17) + 4/100 and -34/63.
28161
Suppose 0 = 2*u - 2 - 14. Suppose -63*c - 17224 = 416. What is the smallest common multiple of ((-12)/(-14))/((-60)/c) and u?
8
Let f = 137 - 139. Calculate the common denominator of ((-1)/114)/(f/159) and -56/11.
836
Let t = 5/144 - 683/1008. Let r = 7749/55 + -1486/11. Calculate the common denominator of r and t.
70
Find the common denominator of -21/176 and (-3362)/3040 + (-11)/(770/(-56)).
3344
Let y(d) = -3*d**3 + 10*d**2 + 32*d + 120. What is the smallest common multiple of y(-6) and 162?
8424
Let x = -218 + 219. Find the common denominator of (625/(-375))/(74/90 + x) and 107/20.
820
Let s = -398911 + 378167551/948. Find the common denominator of 89/24 and s.
1896
Let b = -547 + 767. Calculate the smallest common multiple of 66 and 1/(-4) + 19415/b.
264
Let t = -2443/53768 + 108/517. Calculate the common denominator of t and -56/143.
1144
Let c = 36536 + -34088. What is the lowest common multiple of 238 and c?
17136
Let d(v) = 14*v + 1741. Calculate the smallest common multiple of 7146 and d(-122).
78606
Suppose 3*u + 102 = 3*w, 4*w - 136 = -7*u + 2*u. Calculate the least common multiple of 85 and w.
170
Let n be ((-485)/75 + 7)*(-4895)/6. Let z = 156397/360 + n. What is the common denominator of 1/16*-147 - -3 and z?
80
Let f be -4 + 5 + 4 + 1 + -4. Suppose -10 = -5*r, 3*r - 6*r = -f*p + 54. What is the smallest common multiple of p and 30?
30
Let f = 77 - 46. Suppose -24*i - 18368 = -f*i. Let n = -28844/11 + i. Calculate the common denominator of 62/3 and n.
33
Suppose -j - 52 = 5*g - 334, g + 246 = j. Calculate the least common multiple of 105 and j.
1260
Find the common denominator of -5 + 6 - (3 - 1029/306) and 25/6.
102
Let x = 28 + -24. Suppose -4*n = -4*h - 197 - 199, -3*n = x*h - 276. Calculate the lowest common multiple of n and 10.
480
Find the common denominator of 1/303 and 3 - 21/(441/(-20)) - 7.
2121
Let q(j) = 3254*j - 72. Let z be q(-10). Let k = 782567/24 + z. Calculate the common denominator of 23/48 and k.
48
Let a = 6/35 - 3559/140. Let v be ((-74)/(-6))/(1/15). Find the common denominator of v/45 + (-4)/6 and a.
36
Suppose -2*s = 2*u - 3*s - 289, -575 = -4*u + s. What is the smallest common multiple of 39 and u?
429
Suppose 6*k - 2839148 = -136*k. What is the smallest common multiple of 22 and k?
219934
Let b be 3 - (9 + 3 + -7). Let r be b*(-1 + -1) + -124. Calculate the common denominator of (-1 + 2 + r)/(120/5) and 17/27.
216
Suppose -2*i + 2*x = -10, -2*i + 31 = 3*x + 2*x. Calculate the common denominator of 2/(-16)*2 - (-3402)/280 and i/5*(-40)/3.
30
Suppose 9*v - 4*v = -30. Let c(k) = -k**2 + 217*k - 1475. Let l be c(7). What is the common denominator of 55/14 and (-21)/10 + (l - v)?
70
Let m = 4545 - 4005. Calculate the least common multiple of m and 140.
3780
Suppose 5*b = 7 + 3. Suppose -l - 4*h + b*h + 25 = 0, -4*l = h - 86. Calculate the lowest common multiple of l and (-12)/30 + (-304)/(-10).
210
Suppose 68*x = 65*x + 48. Calculate the common denominator of (-12)/x + 725/60 and 14/27.
27
Let n(h) = 85*h + 65. Let p(b) = -42*b - 33. Let k(s) = -6*n(s) - 13*p(s). Let u be k(-11). What is the common denominator of 5/6 and ((-7)/u)/((-4)/(-282))?
102
Let f(g) = -g**3 - 61*g**2 - 176*g + 25. What is the least common multiple of f(-58) and 135?
6345
Suppose y - 4*v = 34, 3*y + 35*v - 32*v - 87 = 0. What is the lowest common multiple of y and 342?
1710
Suppose 2*y + 26 = 2*a, -2*a + 17 = -5*y - 24. Let q = 2500 + -2495. What is the least common multiple of a and q?
40
Let n = -195040319/2529459342 - -2/2010699. Calculate the common denominator of n and 103/306.
11322
Suppose 2*z = -4*v - 55570, -4*z + 5*v - 52740 = 58426. Let c = 500075/18 + z. Calculate the common denominator of c and 114/8*2/12.
7