 least common multiple of u(12) and 172.
344
Calculate the common denominator of 53/112 and -1 - 4 - 0 - 117/(-16).
112
Let f = -48 + 47. What is the smallest common multiple of 3*(62/6 - (f + 4)) and 16?
176
Let l be (2/6)/((-5)/(-45)). Let d = 5 - l. Calculate the common denominator of 3 + ((-152)/44)/d and -54/5.
55
Let j = 3/178 - 4637/534. Find the common denominator of j and (-2)/3*(-21)/(-6).
3
Suppose -4*i = 9*g - 11*g + 96, -g - 120 = 5*i. Let q(u) = 3*u**2 + u - 2. Let d be q(-2). Find the common denominator of 117/i*d/12 and -103/6.
12
Let k(t) = -t**2 + 9*t - 10. Suppose 0 = -2*r + 5*h + 39, 3*r - 2 = -5*h - 6. Calculate the least common multiple of 1 and k(r).
4
Suppose -10 = -4*w - w. Suppose -14 = -4*b - 2. Suppose -b*g = -0*g - 33. What is the smallest common multiple of w and g?
22
Let b(s) = s**2 + 19*s - 1. Let h be b(-19). Calculate the least common multiple of 1 and ((-5)/(-3) + h)/(10/30).
2
Let i = 92 + -89. Calculate the common denominator of 20/27 and (2 + 275/180)*i.
108
What is the least common multiple of 2 and (5 - -217)*90/60?
666
Let n = 49/330 - 2/165. Let o(d) = 3*d + 18. Let b be o(0). Calculate the common denominator of (-1251)/b*(-1)/(-3) and n.
66
Let t be ((-63)/14)/(3/(-148) - 0). Calculate the common denominator of -41/11 and 1/((-9)/3 - t/(-71)).
99
What is the smallest common multiple of 125 and (-345)/(-60) + 4/16?
750
Let p = -67 + 103. Suppose -15*z - p = -13*z. What is the common denominator of (-225)/(-6)*3/z and 77/16?
16
Suppose -q - p = -9, -2*q + 3 + 25 = 4*p. Let z(k) = k + 13. Let w be z(-13). Suppose c + 4 - 20 = w. What is the least common multiple of c and q?
16
Let z(n) = n**3 + 8*n**2 + 5*n - 10. Let p be z(-7). Suppose -6*r = p*b - r - 29, -4*b + 4*r = 16. Find the common denominator of 59/18*1 + b and -23/6.
18
Calculate the smallest common multiple of 15 - (0 + -6 + 12) and 34.
306
Suppose 0 = 2*x + 2*n + 20, x + n = 2*x. Let u be (-3 - x)/(3/(-12)). Let s(d) = d**3 + 8*d**2 + 2. What is the smallest common multiple of s(u) and 20?
20
Let z be (3*-2)/2 + 22256/36. Let c = 614 - z. Calculate the common denominator of 5 and c.
9
Let o = -570/23 + 11101/460. What is the common denominator of o and -89/728?
3640
Let g(t) = 2 - t**2 + 0*t - t**3 - t**2 + 2*t. Let q(x) = -x - 8. Calculate the smallest common multiple of g(-3) and q(-18).
10
Let y = 93 - 71. Calculate the common denominator of 4/y - (579/(-22) - 1) and 0 - 0 - (10 - 1).
2
Find the common denominator of 2 + -224*(5 + (-447)/90) and 47/20.
60
Let d be 2/(-10) + (-769)/5. Calculate the common denominator of (-4)/10 - d/(-315) and -24/5.
45
Suppose -9*z - 18 = -10*z. Let r be 37/(-3) + 6/z. Find the common denominator of 79/8 and (-100)/r*6/16.
8
Let x(h) = -13*h - 2. Suppose 0 = 5*d - 10*d - 3*a + 35, 0 = 2*a. Let l = 12 - d. Calculate the lowest common multiple of l and x(-1).
55
Let h = 19 + 2. Suppose -h = -2*s - k - 0*k, 38 = 4*s - 2*k. Calculate the least common multiple of 4 and s.
20
Let o(p) = 2*p - 32. Let u(t) = t**2 - 5*t + 63. Let b(n) = 5*o(n) + 2*u(n). Calculate the smallest common multiple of 4 and b(6).
76
Let i(z) = -4*z - 24. Let a be i(-6). Suppose 0 = 3*h + 5*j + 14, a*j = 2*h - j - 8. Suppose 0 = -h*x + 5 - 3. What is the lowest common multiple of 21 and x?
21
Suppose 56 = 3*y + y. Let x(q) = -q**3 - 7*q**2 - 9*q - 7. Calculate the least common multiple of y/4*(-160)/(-56) and x(-6).
110
Suppose 2*a = -3 + 1, 4*b + 5*a = 27. Suppose b*n + 110 = 13*n. Suppose j = t + 20, 0*t + 3*t = -3*j + 60. What is the least common multiple of j and n?
220
Let i = 1918007/570636 - 1/15851. What is the common denominator of -31/48 and i?
144
Suppose -5*d - 4*o = -20, 0 = 4*d - 5*o - 0*o - 57. Suppose 3*s - 7 = 2*s. Let f = 13 - s. What is the least common multiple of d and f?
24
What is the common denominator of (-20)/(-35) - (-2096)/(-2688) and -109/36?
72
Let k = -4 + 4. Suppose 0 = 5*u - 20, k = -4*l + 3*u + u. Calculate the smallest common multiple of 6 and l.
12
Let t = -3/524 - -11055/8908. Let y = 898 - 2725/3. Find the common denominator of t and y.
51
Let d = 210 - 180. What is the least common multiple of 30 and d?
30
Let d(t) = -t**2 - 27*t - 89. What is the least common multiple of d(-23) and 33?
33
Find the common denominator of -31/288 and 12/(-20) + (-8952)/(-47520).
3168
Let u(o) = -2*o + 2. Let c be u(7). What is the lowest common multiple of 15 and 14 + c - (0/1 + -25)?
135
Let b be (-10)/25 + 23/(-5). Let w = b + 11. Let c = 34 + -12. What is the lowest common multiple of w and c?
66
Let g be (-2)/(-12) - 788/(-24). Suppose -1 = -4*t - g. Calculate the lowest common multiple of ((-12)/(-15))/(t/(-100)) and 42.
210
Let g = -2004 - -7959/4. Suppose 4*f = -0*f - 640. Calculate the common denominator of g and (-4)/(f/(-3))*156.
20
Let d = 25 + -5. Suppose -n - 2*q + 15 = 0, d = 3*n - q + 2*q. Calculate the common denominator of (-10)/n + 134/(-8) and -85/14.
28
Suppose -4*g + 16 = -0. Suppose g*o - 12 = 7*o. Calculate the smallest common multiple of (10/o)/((-9)/36) and 11.
110
Let c be 7*(4 - (-72)/(-21)). Let q(m) = -3*m + 17. Let p be q(c). What is the common denominator of (6/56)/(p/(-180)) and -39/5?
35
Let m = 416947/24 + -17369. Calculate the common denominator of m and -87/16.
48
Let o(x) = 2*x**3 + 9*x + 12. Let t be o(6). Let l = -186 + t. What is the least common multiple of l and 8?
312
Let i = -90 - -110. What is the common denominator of 34/33 and 5/i - (-253)/(-84)?
231
Let l be 4/(-3)*60/(-40) + 208. Suppose -12*c + 78 = -l. What is the smallest common multiple of c and 11?
264
Let u(y) = 23*y + 81. What is the least common multiple of 8 and u(3)?
600
Let m = 8273697/81200 - 20221/350. Let u = m - 699/16. Calculate the common denominator of u and 91/16.
464
Let c = -363 + -3272. Let h = -32668/9 - c. Calculate the common denominator of h and (-2)/10*(1 + 5).
45
Suppose -89 = -4*j - 3*p + 46, -5*p = -4*j + 95. What is the lowest common multiple of 894 and j?
4470
Let t = 249822/95 - 359730397/136420. Let l be 100/5385*6/(-5). Let p = l + t. Calculate the common denominator of 21/4 and p.
4
Suppose 5*o - 32 = -2. Suppose y = 2*p + 8, -3*p - 5 - 3 = -y. What is the smallest common multiple of o and 1/(4/y)*6?
12
What is the smallest common multiple of (-80)/28*(-58 + 30) and 130?
1040
Let i = -19 + 19. Suppose i = -v - 2*v. Suppose -3*m + 30 = -v*z - 2*z, 0 = 5*m - z - 43. Calculate the least common multiple of m and 9.
72
Let z be (-3)/(-2) - (1 - 9/6). Suppose z*p - 4*g = -2, 0 = 2*p + 5*g - 15 - 10. Calculate the lowest common multiple of p and 1.
5
Calculate the common denominator of 41/5 and (-6)/((-40)/6*234/(-435)).
260
Let p = 80 + -36. Calculate the least common multiple of p and 56.
616
Let n = 1/961 - -16289/46128. Find the common denominator of n and -117/20.
240
Suppose 0 = 6*p - 27 - 105. What is the common denominator of 173/60 and (p/2)/((-60)/21)?
60
Let w = -6 - -8. Suppose a + 7 = s + 4*a, w*s = -a - 6. Calculate the lowest common multiple of (s/(-15))/((-1)/(-18)) and 2.
6
Suppose -2*f - 4*u + 132 = 0, 3*u = -2*f + 154 - 27. Suppose b + f = 8*b. Calculate the least common multiple of b and 194.
776
Suppose -14*p + 77 - 49 = 0. Suppose 5*l - 3*l = t - 28, -5*t - 4*l = -70. Calculate the least common multiple of p and t.
18
Let o be 78*-3*6/9. Let t = 2819/18 + o. Calculate the common denominator of 119/18 and t.
18
Let q = -30208/4921 - 3/703. What is the common denominator of -29/63 and q?
63
Let m = -16 - -47. Let p = m + -22. Calculate the lowest common multiple of 3/1 + (-13)/(104/(-24)) and p.
18
Suppose -f + 2*f - 2 = 0. Suppose -z + 2*z = 34. Let s = z + -24. What is the smallest common multiple of s and f?
10
Let l = -562837/24 - -23456. Find the common denominator of l and 47/8.
24
Suppose -4*j - 2*d + 5*d + 3404 = 0, -5*j = -5*d - 4255. Let s = j + -4301/5. What is the common denominator of 23/4 and s?
20
Let k = -354 - -400. Calculate the least common multiple of k and (-340)/(-30) - 4/3.
230
Let v(n) = -n**3 - 5*n**2 - 2*n - 6. Let t be v(-5). Suppose -t*h = -34 - 22. What is the smallest common multiple of h and 10?
70
Let c be ((-11)/(-11))/(2/34). Suppose 0 = 4*k + c - 29. What is the lowest common multiple of 8 and k?
24
What is the common denominator of 