
160
Suppose -12 = g + 2*g. What is the common denominator of 14/5 and g + (-76)/(-32) + -3?
40
Let u = 1885 - 1879. Calculate the lowest common multiple of 174 and u.
174
What is the smallest common multiple of -3*1*(-28 + 25) and 33?
99
Let j = -4105 - -4117. Suppose -26 = 3*r - 4*r - h, 0 = -r - 2*h + 30. Calculate the smallest common multiple of j and r.
132
Suppose 5*q = -3*m + 202, 7*q - 2*q - 4*m = 174. Let h = -24/11 - 78/55. What is the common denominator of h and q/(-95)*(-25)/22?
55
Suppose -12 = m + m - 2*a, 4*a + 16 = -m. Let b(t) = -t + 1. Let f be b(m). Let y = f - 1. What is the lowest common multiple of y and 22?
88
Suppose 5*c + 206 = 46. Calculate the common denominator of -40 and (-8)/c*(-124)/(-9).
9
Let g be (2 - (0 - -2))/2. Suppose g = -3*r + 16 + 14. Let a(o) = -o**2 + 8*o - 10. Calculate the smallest common multiple of a(5) and r.
10
Suppose -3*h + 4*h = 160. What is the common denominator of 5 - 4*4/h and 11/25?
50
Let g be 2/((-11)/(99/6)). Calculate the common denominator of 141/(-470)*92*1/g and -19/8.
40
Let u(f) = 27*f**2 + f. Let a(j) = -2*j - 13. Let k be a(-7). Calculate the smallest common multiple of 14 and u(k).
28
Let y be 1*(-2*3 - -1). Suppose -9*i = -3 - 195. Calculate the lowest common multiple of i and (4/y)/(1/(-15)).
132
Suppose -13 = -18*w + 167. Calculate the least common multiple of (11/(-3))/(3/(-9)) and w.
110
Find the common denominator of (23730/80)/(-7)*(-4)/(-168) and 87/224.
224
Let v be (2/(-4))/(7/(-14)). Let l be v/4 + (-210)/8. Let b = l + 37. What is the lowest common multiple of 10 and b?
110
Let j = 735 + -731. Let u(z) = -z**3 + 4*z**2 - 1. Calculate the smallest common multiple of j and u(3).
8
Let j = 15 + -13. Let b be (-4)/8 + 55/j. Let u = b + -23. Calculate the smallest common multiple of 12 and u.
12
Let g(i) = -i + 8. Let x be g(6). Let q(w) = 1 + 0 + w**2 - w**2 - 3*w + 2*w**x. Calculate the common denominator of q(4) and 59/6.
6
Let h = -194 - -286. Suppose 0 = 5*y - 18 - h. Suppose 111 = 5*f + 21. Calculate the least common multiple of f and y.
198
Suppose -5*c - 77 = -0*m - 2*m, 5*m + 3*c - 146 = 0. Let g = -23 + m. Calculate the smallest common multiple of 24 and g.
24
What is the common denominator of 4/(-10) - (-713)/(-310) and 1 + 2 + (-231)/56?
40
Let f(r) be the second derivative of -r**4/12 - r**3/3 + 73*r**2 + 13*r. Let b be f(0). Calculate the common denominator of -125/18 and b/20 - (-3 - -4).
90
Suppose 3*f - 6*o + 337 = -o, -446 = 4*f - 5*o. Let c be -1 - (3 - f/4). Let l = c - 53/4. What is the common denominator of l and 37/6?
6
Let w = -987008/1081 + 21000/23. Let r = 104921/8648 + w. Let t = 84243/10 - 8436. What is the common denominator of r and t?
40
Suppose -5*n = -3*s - 3 - 16, 17 = s + 3*n. Suppose -l = l - s. What is the common denominator of -83/8 and (-865)/(-180) + l/(-4)?
72
Let d be ((-2)/(-2))/((-1)/15). Let o = -7 - d. Suppose o = b + 1. Calculate the least common multiple of b and 11.
77
Suppose -22 - 185 = 3*x. What is the common denominator of (x/(-27))/((5 + -2)*-1) and -47/12?
108
Let q be -2 + 3544/(-28) + 3 - 3. Let a = q + 129. Find the common denominator of a and -11/32.
224
Let m(d) = 301*d - 119. What is the least common multiple of 6 and m(1)?
546
Let b(a) = -a**3 - 18*a**2 + 52*a + 129. What is the lowest common multiple of 33 and b(-21)?
3960
Let v(t) = 2*t**3 + 14*t**2 - 17*t - 3. Calculate the lowest common multiple of 83 and v(-8).
415
Suppose 4*b - 16 = 0, 116 = 4*v - 0*b + 3*b. Suppose -14*u + 33 + 93 = 0. Calculate the lowest common multiple of v and u.
234
Let y(x) = -8*x - 10. What is the least common multiple of y(-5) and 80?
240
Let b = -873 - -891. What is the lowest common multiple of b and 290?
2610
Suppose 1 + 23 = -m. Let i = m + 46. Calculate the lowest common multiple of 18 and i.
198
Let h be (4/6)/((-2)/(-12)). Suppose -h*n - 2*b = 3*b - 3625, -4529 = -5*n - 4*b. Let s = 7259/8 - n. Calculate the common denominator of s and 31/4.
8
Let x = 315491/95 + -3321. Calculate the common denominator of 67/76 and x.
380
Let b(q) = 7*q**2 + 12*q - 15. Let c(t) = 20*t**2 + 35*t - 44. Let v(h) = -17*b(h) + 6*c(h). What is the least common multiple of 1 and v(6)?
63
Let h = 2562 - 2337. What is the lowest common multiple of 15 and h?
225
Calculate the lowest common multiple of ((-8)/6)/((-2)/255) and 51.
510
Let j(m) = -6*m - 27. Let h be j(-9). What is the smallest common multiple of 9 and 6/h*-3*-15?
90
Let j = -12590 - -453343/36. Calculate the common denominator of -1 + 5/(-120)*(-474)/4 and j.
144
Find the common denominator of (-335)/50 + (-3)/15 and ((-876)/56)/3 + 2 + -5.
70
Let m = -22929/11 + 2086. Let k be (-1 - (-1 + -8))/(-2). Find the common denominator of (-1)/(k + 207/50) and m.
77
Let l = -1582 - -1606. What is the lowest common multiple of 8 and l?
24
Let s(k) = k**3 - 10*k**2 - 20*k - 36. Suppose 4*j - 3*m - 2 = -0*m, 0 = 3*j + 3*m - 12. Calculate the smallest common multiple of j and s(12).
12
Let v = 843 + 230. Let h = v + -10721/10. What is the common denominator of -117/10 and h?
10
Find the common denominator of 55/28 and (48/(-320))/((-60)/925).
112
Suppose -7 = 2*w - 2*n + 3, 0 = -5*w - 4*n - 7. What is the least common multiple of 10 and -4 + 7 - (2 + w)?
20
Let l = -2336/705 - -350/47. Let n = 25/471 - 18155/1884. Calculate the common denominator of n and l.
60
Let v = 1499 + -1471. Calculate the least common multiple of 52 and v.
364
Suppose -l + 0 = 3*t + 8, l = t - 4. Find the common denominator of (t - 5)/((-96)/15) and (3 - 334/56)/(20/40).
112
Let b be (60/7)/((-2)/(-14)). Suppose f = -2*f + b. Calculate the common denominator of 30/(-140)*(-462)/f and 71/8.
40
Let a(f) = -f**3 - 4*f**2 + 2*f + 8. Let t be a(-4). Suppose t = 72*v - 73*v + 33. What is the smallest common multiple of v and 6?
66
Calculate the least common multiple of 15/1 - (7 - 1) and (13 + -3)/((-2)/(-1)).
45
Suppose 745 = -9*v + 853. What is the least common multiple of 2 and v?
12
Let t = 0 - -13. Suppose -9 = 3*n - 24. Calculate the common denominator of (t + 0)/(n + -3) and 81/2.
2
Suppose 0*h - 2*h - 10 = 0, 5*h - 115 = -5*a. Suppose -z + a = -2*t, -3*t = z - 0*z + 52. Let g = 407/138 - -143/23. What is the common denominator of t and g?
6
Calculate the smallest common multiple of 4 - 17/((-34)/16) and 114.
228
Let g be (888/52 - -4 - -3)/161. Let h = -2/299 + g. Find the common denominator of h and -85/58.
406
Suppose 0 = -3*o + 6, -o - 10 = -2*a - 4. Suppose a*u = 1 + 11. Suppose -y - 2*g - u*g + 1 = 0, g = y - 7. Calculate the lowest common multiple of 6 and y.
6
Let k(n) = n**2 - 10*n + 17. Let s be k(7). What is the common denominator of (s/(-6))/(28/(-329)) and 71/3?
6
Let p be (-1 + -2)/(1*-1). Suppose 1 = p*g + q + 6, 0 = 3*g - 3*q - 15. Suppose 0*k - 2*k + 32 = g. Calculate the lowest common multiple of k and 16.
16
Let c = 207/14 - 963/112. Let k = c + -7. Calculate the common denominator of k and (-19)/(-5)*45/24.
16
Let u be 8/2 - (-2 + 3). Find the common denominator of (-89)/(-12)*-2 - u and 13/4.
12
Let q = 12350629/120 + -102923. Calculate the common denominator of -89/132 and q.
1320
Let x be ((-12)/20)/(1/(-5)). Let f(d) = -x*d - 6*d - 2 + 5*d + d**2. What is the smallest common multiple of f(6) and 5?
10
Let z = 12312 + -147595/12. What is the common denominator of -65/6 and z?
12
Suppose -v = -2, -5*g + 2*g - 5*v + 25 = 0. Suppose g*u + 12 = 22. Suppose -3*s - s = 5*a - 22, 4 = u*a + 4*s. What is the smallest common multiple of 25 and a?
150
Let w be (429/9)/(4/120). What is the common denominator of (-2)/5 + 22/180 and 2/(-4)*w/30?
18
Let h(k) = k + 5. Let n(r) = r**3 - 8*r + 2. Let b be n(3). Suppose -d - 5 = 0, -b*q - d + 15 = -3*d. Calculate the smallest common multiple of h(-4) and q.
1
Let r be 17 - 20 - (-6 + 1). Find the common denominator of 38/3*(-6)/14 and -1 - ((-188)/(-8) + r).
14
Let y(b) = b**3 + 18*b**2 - 22*b - 36. Let u be y(-19). What is the common denominator of (-442)/168 + (-6)/u and 51/46?
276
Let n = -617/9 + 203/3. Suppose 0 = -2*j - 0*j - 46. Calculate the common denominator of j and n.
9
Let i = -30673/12 - -2558. Let s = -4129748525071/396398324 - -8/14157083. Let z = 10422 + s. What is the common denominator of i and z?
84
Suppose -4*l + 2*c + 9 = -3, 3*l = c + 9