43. Suppose 5*z - 167 = -3*x - 37, 4*z = n*x - 50. Calculate the lowest common multiple of x and 4.
140
What is the lowest common multiple of (5 + -4)*-24*-1 and 27?
216
Let f(a) = -3*a - 8. Let c be f(-4). Suppose -4*p + p + 30 = 0. What is the lowest common multiple of p and c + (-3 - 3)/3?
10
Suppose -4*v - 117 = -7*v. Suppose 10*r - 108 = 6*r. What is the smallest common multiple of r and v?
351
Let k = 37 + -22. Suppose o = -4*o + k. What is the smallest common multiple of 6 and (-6)/(-4)*8/o?
12
Let b = 11 - 11. Suppose b = -q - 4*q + 30. Suppose 0 = -4*h + 12, 2*k - 4*h - q = -k. Calculate the lowest common multiple of k and 16.
48
Let i = 9785/6 + -1626. Find the common denominator of i and 41/768.
768
Let i(p) = -p**3 - 7*p**2 + 3*p - 9. Let x be i(-7). Let c be ((-8292)/x)/((-6)/10). Let r = 471 + c. Calculate the common denominator of r and 75/16.
48
Suppose 16 = -m + 4*w, -5*m + 4*m - 4*w = -24. Calculate the lowest common multiple of (12/(-9))/(14/(-84)) and m.
8
Suppose 5*r - k - 4 = 31, 5*r - 50 = 4*k. Suppose 4*x - r = 2. Calculate the lowest common multiple of 40 and x.
40
Let h(s) = -4*s + 1. Let n be h(4). What is the smallest common multiple of 1/(-3) + (-80)/n and 8?
40
Suppose -1589 = -13*j - 198. Calculate the least common multiple of 3 and j.
321
Let p be 8/(-12)*90/109. Let d = p - -8219/872. Find the common denominator of d and 501/(-42) + 1/(-1)*-4.
56
Calculate the common denominator of 8773/(-620) - (-14 - -4) and 109/360.
360
Let n(m) = m**2 + m. Let r be n(-3). Calculate the lowest common multiple of (-2 - r/(-9))*-12 and 16.
16
Let d = -46168/9427 + -10/857. Find the common denominator of d and 50/17.
187
Suppose -5*n - 19 = 2*o, 5*n = -3*o - 10 - 6. Let t = 5974 + -5947. What is the least common multiple of t and o?
27
Let l(w) = w**2 - 20*w + 16. Let j be l(20). Let r be (-17 + j)/(8218/4). Let x = r - 312278/12327. What is the common denominator of -71/4 and x?
12
Let z be (177/6)/((-2)/(-4)). Let b = z + -55. Calculate the lowest common multiple of b and 4.
4
Suppose -91*n - 124 = -122*n. Calculate the least common multiple of n and 3.
12
Let s = 186 - 191. Let i = 13/2 + -13. Let m = s - i. Calculate the common denominator of 42/11 and m.
22
Let q be (3921/(-9)*-1)/87 + -1. Let k = q - -90/29. Find the common denominator of k and 5/18.
18
Suppose 0 = -4*t - 3*m - 44, 4*t + 40 = m + 12. Calculate the common denominator of 21/4 and -2 + (-98)/t - (0 - 2).
4
Suppose -4 = -l, 5*v + 2*l = -0*v + 8. Suppose v = -3*j + 2*u + 16, -j + 3*u + 5 = -6*j. What is the least common multiple of j and 8?
8
What is the common denominator of 2/9 and (-180)/1191*23/(-69)?
3573
Let k be 6*(-2 + -1)/6. What is the smallest common multiple of k/4 + (-38)/(-8) and 30?
60
Let j = -39683/6 + 6590. Calculate the common denominator of j and -13/16.
48
Let x = 1311234 + -1875067979/1430. Let o = x - -7/143. Find the common denominator of -50/9 and o.
90
Let u = 2 + 0. Suppose 85 = -0*b + 5*b. Suppose 0 = c - b + 5. Calculate the least common multiple of c and u.
12
Let m = 934045/103 - 9068. Find the common denominator of m and 53/25.
2575
Let r(j) = 2*j + 2. Let x be r(6). Suppose -q + x = -6. What is the least common multiple of 28 and q?
140
Let n = -228307/936 + 3174/13. Let m = -1415/238 + 2/119. Find the common denominator of m and n.
504
What is the lowest common multiple of 14 and 869 + 2 + -37 + 28?
6034
Find the common denominator of -151/168 and -46*21/(-60) - (-36)/(-9).
840
Calculate the common denominator of -31/16 and 15 - (25 - 15) - (-1114)/(-224).
112
Let b = -711143/9 + 78887. Let f = -1993976 + 179446627/90. Let g = b - f. What is the common denominator of g and 99/2?
10
Suppose -21 = -69*r + 68*r. Calculate the least common multiple of 28 and r.
84
Let o = 111 + -111. Suppose 4*n - 2*y - 32 = o, 0*n = -n + y + 9. Calculate the lowest common multiple of n and 1.
7
Suppose 0 = -14*z + 9*z + 25. Let y(i) = 5*i - 2. Let u(r) = -r - 1. Let q(h) = -4*u(h) - y(h). Calculate the least common multiple of 6 and q(z).
6
Suppose -3*s - 20 = 7*s. Find the common denominator of -53/30 and s - -3 - (-4 - (-28)/48).
60
What is the common denominator of (-2)/4 - -5*430/400 and 5/1068?
2136
What is the smallest common multiple of 5 and (-4)/8 + -2*41/(-4)?
20
Suppose 6*b - 75 = 5*b. What is the lowest common multiple of 18 and (-10)/b + (-47)/(-15)?
18
Let j = -764 + 1628. Calculate the smallest common multiple of j and 22.
9504
Suppose 0*s = -2*i - s + 249, 4*s + 357 = 3*i. Suppose -5023*w + 4952*w + 284 = 0. Calculate the lowest common multiple of i and w.
492
Let o be (16/32)/((-286)/(-164)). Let l = o + 20489/858. What is the common denominator of (-8)/10*51/8 and l?
30
Let y = 980 - 929. What is the least common multiple of 9 and y?
153
Calculate the smallest common multiple of 22/8*(1 + -9)*-2 and 16.
176
Suppose 4*j - 4*p = -136, 2*j - 4*p + 21 + 47 = 0. Let n = j + 45. What is the lowest common multiple of 10 and n?
110
Suppose -12*c = -13*c + 360. What is the lowest common multiple of c and 2?
360
Find the common denominator of 83/15 and (-1 + 3/2)/(110/(-418)).
30
What is the lowest common multiple of ((-32)/12 + 2)*(-198)/4 and 198?
198
Let b(a) = a**3 + 4*a**2 - a - 3. Let n be b(-4). Calculate the least common multiple of (-2 + n)*-1 - -15 and 60/14*1694/363.
80
Let k = -9245094259/140 + 854513201/14. Let c = k + 5001017. Let h = c + -1289. What is the common denominator of h and -1/8?
40
Let b(g) = -g**3 - 7*g**2 - 7*g - 3. Suppose -12 - 8 = 4*f. Let u be b(f). Calculate the common denominator of (3/5)/(4/u) and 11/4.
20
Let t be -1*2*-12 + 1. Suppose 0 = -o + 2 - t. Let k = 26 + o. What is the smallest common multiple of 6 and k?
6
Suppose -31 + 112 = 9*u. What is the lowest common multiple of u and (3/12 + -1)/((-2)/72)?
27
Let j(f) = 2*f**2 - 48. Let z be j(6). Suppose 0 = c + 4, 6*c + z = 2*q + 3*c. What is the smallest common multiple of 2 and q?
6
Let a = 23145026/17221 - 1344. Let r = a - 602839/895492. Calculate the common denominator of 103/12 and r.
156
Suppose 8 = p - 3*p + 4*j, 3*p + 5 = -j. Calculate the common denominator of -81/8 and p/(-8) + (-488)/80.
40
What is the common denominator of (7/(-42))/(2 - -1 - -15) and 27/7?
756
Suppose 3*k - 20 = 16. What is the smallest common multiple of k and 2/(-7) + 3/((-21)/(-100))?
84
Let q = -16632 - -216846/13. Let x = -2537/52 + q. Calculate the common denominator of x and 33/8.
104
Find the common denominator of -2 + ((-1590)/(-252) - 2) + 1 and 137/42.
42
Let f(o) = 3*o + 2. Let g be f(3). Let w = -127 - -130. Suppose w*k - 47 + g = 0. Calculate the smallest common multiple of k and 20.
60
Let y = 127 + -35. Suppose 20 = 8*m - y. Calculate the least common multiple of 11 and m.
154
Let g be ((-49158)/9831 - -2) + 3. Let k = -29657/537428 - g. Let q = 3835/1148 + k. Calculate the common denominator of -47/10 and q.
70
Suppose -23*s + 3816 - 21 = 0. Calculate the smallest common multiple of 24 and s.
1320
Let c = 0 + -6. Let g = c - -24. Suppose 140 = 8*x + 12. Calculate the least common multiple of g and x.
144
Let d = -101303/14 - -7233. What is the common denominator of -5/94 and d?
658
Suppose 4*w = 4*p + 3 + 33, -3*w - 4*p + 6 = 0. Let z(j) = 2*j**2 - 14*j - 363. What is the lowest common multiple of w and z(18)?
66
Let j(d) = d**3 - 4*d**2 - 43*d + 234. What is the lowest common multiple of j(6) and 64?
192
Suppose 0 = -4*a + 107 + 85. Suppose -3*o + a = -12. Calculate the lowest common multiple of 24 and o.
120
Suppose 5*h = -7*f + 2*f + 110, -4*f = -3*h + 59. Let d = h + -96. Find the common denominator of (d/10)/(12/5) and 85/4.
8
Let v(i) = -8699*i + 2. Let s be v(-1). Let y = -139289/16 + s. What is the common denominator of y and 4/(-28) - 6/2?
112
Let k(g) = 5*g - 3. Let m(j) = 2*j**3 - 14*j**2 - 25*j - 90. Calculate the lowest common multiple of k(2) and m(9).
63
Let w(o) = 2*o**2 + 31*o - 84. What is the lowest common multiple of 72 and w(-18)?
72
Let f = -264973/14070 + -2/2345. Let w = 389713/18 - 21645. What is the common denominator of w and f?
18
Calculate the common denominator of (-817)/(-152) - 2*(-1)/(-2) and 11/150.
600
Let k = 41060/3391 - 1054763163/88166. Let r = k - -11953. What is the common denominator of -87/10 and r?
130
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