6/(-42)?
270
Let g(q) = q**3 + 53*q**2 - 3*q - 149. What is the lowest common multiple of 110 and g(-53)?
110
Let l = 3252/7 + -1382/3. What is the common denominator of 46/9 and l?
63
Suppose 2*a + 0*a = -3*v + 12, -5*a = -5*v + 45. Let l(o) = -o**3 - 3*o**2 + 9*o + 11. Calculate the least common multiple of l(-5) and v.
48
Let l = -5472/7 - -780. What is the common denominator of l and ((-30)/(-8))/(24/68)?
56
Let g be (-2 - (-68)/(-12))/(796/6). Let k = g + -10719/2189. What is the common denominator of -139/78 and k?
858
Suppose -206 = -7*u + 74. Suppose -4*k + 8*k = u. Calculate the smallest common multiple of 11 and k.
110
Suppose -50*r = -65*r + 765. Calculate the common denominator of 1/2 + (-1037)/r and ((-4)/(-6))/((-4)/(-22)).
6
Let a = 196 - 89. Find the common denominator of 14/9 and (18/27)/((-38)/a) + 2.
171
Let p(m) = -3*m + 7. Let n(b) = -b + 1. Let a(f) = 18*n(f) - 2*p(f). Calculate the common denominator of (-17 + 15)*(-34)/(-14) and a(-3).
7
Suppose 2*s + 838 = 4*h, 5*h + 135 = -s + 1172. What is the lowest common multiple of 26 and h?
208
Suppose -18*o = 3*o + 798. Let g = 3 + 39. Let h = g + o. What is the smallest common multiple of 5 and h?
20
Let y = -3 - -5. Suppose -7*x = -0*x - 63. Calculate the lowest common multiple of y and (-20)/(-11) - x/((-99)/2).
2
What is the smallest common multiple of 7 and 2 + ((-1422)/(-24))/(10/40)?
1673
Suppose -5*v = 2*w + 56, -2*w - w = 5*v + 54. Let j = v + 19. Let p = 10 - j. Calculate the smallest common multiple of 8 and p.
24
Let p = -1149449239/20 + 57460598. Let t = p - -11870. Let v = -201/28 + 101/7. What is the common denominator of t and v?
20
Let p = -13277/24 + 553. Find the common denominator of 2/11 - 568/(-627) and p.
456
Suppose -1047 = 4*v - 1195. Calculate the least common multiple of 3 and v.
111
Suppose -2*y - 3*z + 55 = 0, 5*y - 2*y - 3*z = 45. Calculate the least common multiple of 8 and y.
40
Suppose 2*k = -3*g - 9, -3*g - g - 12 = -k. Let i be 0 - (-6)/g - -17. Find the common denominator of i/40*26/6 and 121/18.
72
Let y(q) = -q + 23. Let b be y(14). Let p(h) = h**3 - 10*h**2 + 8*h + 3. Let g be p(b). Calculate the smallest common multiple of 2 and (-213)/(-18) + (-1)/g.
12
Let w = 477 - 89183/187. Calculate the common denominator of w and -54/119.
1309
Calculate the lowest common multiple of 132 - (4 - 7 - 1) and 153.
1224
Suppose 8 - 8 = -3*r. Suppose 7*q - 4*q - 27 = r. Calculate the smallest common multiple of 33 and q.
99
Suppose 0 = 4*l - u - 684, u + 0*u + 4 = 0. Calculate the common denominator of 2 + 49/3 + -1 and 3/15*l/12.
6
Let p be 3 - (6/(-4))/(12/(-16)). Suppose -m + p = 5*a - 5, -a = 2*m - 12. What is the least common multiple of m and 27?
54
Let l = -21 + 31. Suppose -4*j + 41 = -131. Suppose 4*n + z = j, 0 = z - 2 + 3. Calculate the least common multiple of l and n.
110
Let j(d) = -d**3 - 6*d**2 - 2*d - 34. What is the lowest common multiple of j(-8) and 110?
110
Let y be -5 + 3 - 8286/4. Let t = y + 2123. Calculate the common denominator of 61/3*51/(-136) and t.
8
Let n(a) = a + 4. Let r be (-3)/((-9)/3 + 4). Let z be n(r). Suppose 5 = 2*m - z. Calculate the least common multiple of 9 and m.
9
Let f(i) = -i**3 + 12*i**2 - 11*i + 3. Let p be f(11). Suppose -4*x = -p*x - 6. Calculate the common denominator of -109/22 and 2/x*(-65)/5.
66
Let d = 28 + 130. What is the lowest common multiple of d and 6?
474
Suppose 7*c - 12*c + 50 = 0. What is the least common multiple of (-12)/(-10)*(-80)/(-6) and c?
80
Let l(d) = -1832*d**3 - 3*d**2 + 2*d + 1. Let j be l(2). Let u be 8/44 + 2644/j. Let r = u + -153323/18662. Calculate the common denominator of 19/2 and r.
14
Suppose -3*x + 5*x - 44 = 0. Suppose 6*h + 87 + 195 = 0. Let l = h - -79. Calculate the lowest common multiple of l and x.
352
Suppose 24*p = 31*p - 21. Suppose p*t + 24 = 4*u - t, -8 = -2*u + t. Calculate the smallest common multiple of 10 and u.
10
Let b be 1*(-2 - -259) + 3. What is the smallest common multiple of (12/(-7))/(b/(-84) - -3) and 18?
18
Let f(d) = -8*d + 13. Let t be f(6). Let h = t + 55. Suppose j + 4*j = 70. What is the smallest common multiple of h and j?
140
Suppose -107 = -2*l + 21. Suppose 0 = 3*k + 5*c - 6*c - l, -2*k + 38 = -3*c. Let z = -27 - -45. Calculate the smallest common multiple of z and k.
198
Let g = 2143 - 2137. Suppose 0 = -l + 5*l - 28. Calculate the least common multiple of l and g.
42
Let s(p) = p**3 + 10*p**2 - 7*p - 6. What is the smallest common multiple of 16 and s(-10)?
64
Let j = -21 - -1. Find the common denominator of (-314)/(-40) + -99 + 95 and (j/(-22))/((-8)/10).
220
Let w be (-5)/20 + (-3547)/656. Let a = 50/41 + w. Find the common denominator of 73/24 and a.
48
Suppose 16 = 2*v + 6*v. Suppose 0 = -2*p + 2*w + 12, -v + 60 = 5*p + 2*w. What is the least common multiple of p and 6?
30
Let b = -7/3901 + -510863/93624. Calculate the common denominator of b and 1/21.
168
Let o be (2/8)/(1/20). Suppose v + 1 - 5 = -2*l, 0 = 2*v + l - o. Suppose -a = -3*a, v*p + 5*a = 18. What is the smallest common multiple of p and 11?
99
Let n = 54877/18 + -3050. What is the common denominator of (-22)/66 + -269*2/312 and n?
468
Let a(f) = 6*f**2 + 47*f + 36. Calculate the smallest common multiple of a(-8) and 39/9 + (-2)/(-3).
220
Let t = 114475/14 - 8171. Calculate the common denominator of ((-86)/95)/((-8)/10) and t.
266
Suppose 5*z + 3*f - 91 = -f, -8 = -2*f. Calculate the least common multiple of z and 117.
585
Let y(w) = -3*w - 20. Let m be y(4). Let v = m - -42. What is the lowest common multiple of v and 14?
70
Let n = -316631/48 + 6597. What is the common denominator of 151/60 and n?
240
Suppose -3*h + 4*p + 10 = 0, 0*p + 2 = h - p. What is the least common multiple of (10 + -8)*(4 + 2) and 21 + h + 1 + -2?
36
Suppose 5*l - 65 = -4*o, -o - 32 + 43 = 2*l. Let b(y) = -y**3 - 5*y**2 - 6*y - 3. Calculate the least common multiple of o and b(-4).
25
Calculate the common denominator of -29/154 and 37/490 - 280/350.
1078
Suppose -8*o + 14 + 2 = 0. Suppose 0 = m - 5, 5*g + 3*m = o*g + 75. Calculate the least common multiple of g and 10.
20
Let b(g) = 7*g**2 - 6*g - 4. Let p(l) = -6*l**2 + 7*l + 3. Let x(q) = 5*b(q) + 6*p(q). What is the least common multiple of 4 and x(10)?
36
Let x be 82179/(-12)*(-22)/21. Let h = 7182 - x. What is the common denominator of 29/(-18) - (4 + -5) and h?
126
Suppose 30 = l - 4*y, -l - l = 4*y. Suppose 9*k + 20 = l*k. Calculate the lowest common multiple of 22 and k.
220
Let q = -1931/7 + 35129/126. Find the common denominator of (-9)/(-36)*-3 + 130/48 and q.
72
Let z(w) = 15*w**2 + 1082*w + 189. What is the smallest common multiple of (-4 + -1)*(-10 + -1) and z(-72)?
495
Find the common denominator of (-4424)/17920 - (-1)/5 and -77/4.
64
Let l(a) = -5*a**2 + 21*a - 38. Let u(c) = 3*c**2 - 14*c + 25. Let y(j) = 5*l(j) + 8*u(j). What is the smallest common multiple of 2 and y(-6)?
16
Let a be ((-1)/5)/(-4*(-4)/80). Find the common denominator of (142/(-88))/1 - 0 and (a - 51/24) + (3 - 0).
88
Suppose -6*b = -25*b + 1520. What is the lowest common multiple of 60 and b?
240
Let o be 1/2*-1 - 122/(-4). Calculate the smallest common multiple of 66/(-2)*(-10)/o and 5.
55
Let u = -989 - -999. Let i(o) = 10*o - 5. Let c(z) = z. Let j(p) = -18*c(p) + 2*i(p). What is the least common multiple of j(7) and u?
20
Let j = 9/466 + 7097/6524. Find the common denominator of -67/56 and j.
56
Let m be -21*2*(296/(-16) + -5). Let a = 9861/10 - m. Calculate the common denominator of 23/2 and a.
10
Let p be -4 + 0 + 2 - -22 - -3. Suppose 4*h - p + 15 = 0. Suppose 0 = 4*g - d - 27, 0*g - 21 = -2*g + 3*d. What is the lowest common multiple of h and g?
6
Let l = -12 + 9. Let m be (-18)/l + -3 + 3. Find the common denominator of 69/8 and (-188)/m*2/8.
24
Calculate the smallest common multiple of 48 and (17/((-51)/8))/((-4)/24).
48
Suppose -17*o + 29*o = 84. Let q(b) = 8*b - 44. Calculate the least common multiple of q(o) and 6.
12
What is the smallest common multiple of 9 and 81/(-5 - -9 - 1)?
27
Let a be 141428/(-20)*(-215)/(-1122). Let r = 23448/17 + a. Let m = -25/33 + r. Find the common denominator of m and 81/2.
2
What is the common denominator of 49/36 and ((-248)/40 + 6)/(-2)?
180
Let n be 2 - 1 - (-2 + -113). Let i = n - 189/2. Let q = 1169 