70. Let u = 3 + 5. Suppose r + k = u, 4*r + 8 - i = 5*k. Calculate the least common multiple of r and 6.
24
Let w = -67 - -114. Suppose -2*a + 5*v + 28 = 0, 0 = 4*a - 2*v - w + 7. Let x(f) = -f**2 + 10*f - 2. Calculate the smallest common multiple of 10 and x(a).
70
Let n(z) = z**2 - 28*z + 211. What is the lowest common multiple of 3 and n(17)?
24
Let m be 7913/(-82)*(1 + 1 + -148). Let u = 295931/21 - m. What is the common denominator of u and -47/15?
105
Let r be (18/8)/(2/(-16)). Let c be (-18)/27*r/4. Suppose 0 = -4*n + c*a + 65, n - 9 = a + 8. Calculate the smallest common multiple of n and 16.
112
Let v be ((-2)/4)/((-10)/59880147). Let m = v - 2981599. Let h = m + -12413. Calculate the common denominator of h and 105/22.
220
Let u = -31/8 + 5/8. What is the common denominator of u and -99/26?
52
Let v be (-30)/4*(-72)/60. Suppose -12*d + 6 = -v*d. What is the common denominator of 67/10 and ((-3)/(-33))/(d/(-50))?
110
Let v(q) = q + 42. Calculate the least common multiple of v(0) and 2.
42
Find the common denominator of 4*(2/(-20) + 2) and 3/9 - (-1023)/(-126).
70
Let z(k) = -9*k - 213. What is the least common multiple of 120 and z(-25)?
120
Suppose q = -q + 16. Suppose q*b - 110 = 3*b. Calculate the least common multiple of b and 8.
88
Let c be (1 + 0)*((-4916)/2468 - -2). Let j = c - -7916/12957. Calculate the common denominator of j and 55/18.
126
Let f = 172 + -785/4. What is the common denominator of f and -93/350?
700
Let u be (-17)/(-5) + (-12)/30 - 0. Suppose 17 = u*f - 4*m, f - 3*m - 7 = -3. What is the smallest common multiple of f and 11?
77
What is the common denominator of ((-181)/36 + 2)/(15/(-30)) and -17/96?
288
Suppose 24*g = 17*g + 3150. What is the smallest common multiple of 55 and g?
4950
Let a = -2466/55 + 211/5. Let y = 23485/9 - 2606. What is the common denominator of y and a?
99
Let l = -134 - -199. Let i = -54 + l. Calculate the smallest common multiple of 38*(-2)/(-4)*1 and i.
209
Let o be (-2)/((-5 - 2) + -3). Let g = -248/15 + o. What is the common denominator of g and (-280)/18 + 4/18?
3
Let z = -9179/3246 + -3/541. Let y(x) = -14*x - 15. Let q be y(12). Calculate the common denominator of (-8)/(-20)*q/(-12) and z.
30
Let o(n) = n**2 - 3*n + 1. Suppose -20 = -3*d - 2*d. What is the smallest common multiple of 21 and o(d)?
105
Suppose -2*g - 2*g = -40. Find the common denominator of ((-13)/(-39))/(g/(-174)) and -17/2.
10
Let m = 235634/270465 - -4/6935. Calculate the common denominator of -22/5 and m.
195
Suppose 5*t + 48 = -t. Let z = 526 + -7367/14. Find the common denominator of (-938)/(-63)*6/t and z.
42
Calculate the smallest common multiple of 10 and (0 + 9/3)/(294/1568).
80
Calculate the common denominator of -33/500 and -8 - -10 - (-146)/20.
500
Let q = 115378/7 + -32766743/1988. What is the common denominator of q and 95/4?
284
Suppose 22*b + 743 - 4109 = 0. Calculate the lowest common multiple of b and 68.
612
Let j(g) = 2*g + 7. Let l(o) = -22 - 26 + o + 52. Let n(m) = -2*j(m) + 5*l(m). What is the lowest common multiple of 9 and n(5)?
99
Let y = 541 + -457. What is the lowest common multiple of 56 and y?
168
Suppose 12*o = 10*o + 8. Suppose -o*w + 7 = -5*m - 0*m, 16 = -5*w - 2*m. Calculate the common denominator of 23/9 and (w/10)/(4/(-890)).
18
Let r(b) = -19*b - 3. Let t be r(-1). Calculate the least common multiple of 4 and t/(-28)*(-70)/4.
20
Let w = 1144293/124 - 9228. Calculate the common denominator of -97/8 and w.
248
Let s = 3212 + -12775/4. Find the common denominator of s and 11/20.
20
Let w = 56 + -54. Suppose 0 = -2*o + w + 8. What is the smallest common multiple of 23 and o?
115
Calculate the common denominator of ((-1)/(-318))/((-10)/(-2000)*-8) and 19/12.
636
Let v = -1451 - -1505. Calculate the least common multiple of v and 189.
378
Suppose 88 = 4*h + 116. Let j(q) = q**3 + 3*q**2 - 4*q - 2. Let a be j(-4). Let p = a - h. What is the smallest common multiple of 11 and p?
55
Find the common denominator of ((-112)/(-34776))/(12/225) and -32/207.
414
Let v(i) = i**2 - 15*i + 16. Let r be v(14). Let m(w) = 20*w - 3. Let j be m(r). Suppose -4*q + 35 = -j. What is the lowest common multiple of 10 and q?
90
Let x = -3097947/560 - -38733/7. What is the common denominator of 113/120 and x?
240
Let w = -1123/300 + 29/25. What is the common denominator of -55/13 and w?
156
Let z = -1928 + 1948. What is the smallest common multiple of z and 20?
20
Let l(y) = -y**3 + 10*y**2 + 14*y - 8. Let t be l(11). What is the lowest common multiple of t*(36/15)/2 and 30?
30
Let s(d) = 2*d**2 - 11*d + 16. Calculate the smallest common multiple of 18 and s(6).
198
Let x = -784 - -787. What is the lowest common multiple of x and 11?
33
What is the common denominator of 13/3*(-14)/(-4) and (((-292)/(-30))/(100/75))/1?
30
Suppose g = -7 + 27. Let u(x) = -2*x + 48. What is the least common multiple of 16 and u(g)?
16
Calculate the common denominator of -49/54 and (4/126)/((-72)/3060).
378
Suppose -73 = -u + 2*i + 53, -3*u + 5*i = -378. Suppose 5*q + 5*a = 0, 2*q - a - 12 = -0*q. Calculate the lowest common multiple of u and q.
252
Let y = -10 + 67. Let g(n) = -20*n + 92. Calculate the smallest common multiple of g(4) and y.
228
Suppose -31853 - 13759 = 6*o. Let r be (-133943)/o + 4/(-14). Let v = r + -1/2534. What is the common denominator of 28/3 and v?
3
Find the common denominator of 49/9 and (2/15)/(24/(-2220)*62).
558
Let y be ((-157)/(-10))/(8/1270). Let m = -2484 + y. Calculate the common denominator of 47/2 and m.
8
Let g be 44/117 + -8 - (-2)/(-9). Let w = -2607/208 - g. Find the common denominator of 9/16 and w.
16
Suppose -14*g = -108 - 4. What is the smallest common multiple of g and 764?
1528
Let k be -2 + 8029 + 2/2. Let q = 160603/20 - k. What is the common denominator of (6 - 1197/72) + (-6)/(-12) and q?
40
Suppose -3*l + 6*c - 2*c - 124 = 0, 3*c = -l - 37. Let k = l - -52. Let q(t) = 3*t + 12. Calculate the smallest common multiple of q(6) and k.
60
Let o = 75071888156/19247 - 723/96235. Let g = 77757163/20 - o. Let y = g - -12593. Calculate the common denominator of 45/16 and y.
80
Let y(c) = -4*c - 10. Let i be -2*(1 + -22 + 3). Let p = i - 22. Calculate the smallest common multiple of y(-5) and p.
70
Let v be (-11)/44*(-2 + 182/89). Let w be 4569/20*(-4)/(-534). Let a = w + v. Find the common denominator of 74/3 and a.
30
Let y = 6425 + -16625. Let t be (-34270)/y - (-4)/10. Let v = 1/102 - t. Find the common denominator of 45/2 and v.
4
Let h(d) = -d**2 + 13*d - 6. Let g be h(12). Suppose 7*r - g*r = 22. What is the least common multiple of 10 and r?
110
Let j(k) = k**3 - 3*k**2 - 5*k + 5. What is the smallest common multiple of j(5) and (131/4)/1 + (-3 - 143/(-44))?
330
Suppose -2*r = -4*z + 6, 2*z = -3*r - 2*z - 9. Calculate the least common multiple of 10 and (-30 - 6/r)/((-12)/6).
70
Let b(c) = -c**2 + 29*c + 38. Suppose -4*x + 2 = 3*u, 4*x - 6*u - 18 = -u. What is the smallest common multiple of x and b(30)?
8
Calculate the common denominator of 62/1713 and (98 + -3)/((-3)/((-3)/(-2))).
3426
Suppose 2*n + 2*g = 60, -n + 9*g - 4*g + 18 = 0. Calculate the smallest common multiple of 28 and n.
28
Let a = 92791/14 - 6625. What is the common denominator of -95/18 and a?
126
What is the lowest common multiple of 30/75 + 1012/20 and 60?
1020
Let v = -2864 + 42979/15. Calculate the common denominator of v and 47/72.
360
Let k = 860 - 11130/13. What is the common denominator of k and -69/4?
52
Calculate the least common multiple of 3 and ((-162)/12)/((-15)/40).
36
Suppose s = 4, 2*z - 6*z - 4*s = -76. Let f = -9 + 12. Calculate the smallest common multiple of z and f.
15
Let s be 25 + 1*(-1 + 3). Calculate the common denominator of -26/3 and (s/(-6) - -4) + (-25)/24.
24
Suppose 118 = 4*c + l, -2*l = 3*c - 28 - 58. Calculate the smallest common multiple of 24 and c.
120
Suppose 4*w + 12 = 2*w. Let l(i) = -i**3 - 6*i**2 + 5*i + 9. Let m be l(w). Calculate the lowest common multiple of 4 and (-7)/m*(19 - 1).
12
Let p = 132810 + -1463203/11. Let u = -2334/11 - p. What is the common denominator of 71/9 and u?
99
Let o = 10 - 8. Suppose -44 = -o*d - 284. Find the common denominator of -16/5 and (-2264)/d - 4/(-30).
5
Let l = -3253/581 - 140/83. Let r be (18/21)/((-1)/84). Find the common den