ple of s(r) and 18?
90
Let j be 0 + (-2 - (-6)/3). Suppose 4*a - 2*t - 84 = 0, -5*a + 4*t + 1 + 107 = j. Calculate the smallest common multiple of (-52)/(-10)*(-340)/(-68) and a.
260
Let n(r) = -r + 1. Let m be 3 + (0 - 0) - 7. Let o be n(m). Suppose 0*c + 5*c - 10 = -o*w, -c + 2 = 3*w. Calculate the least common multiple of c and 8.
8
Let p = -1/72 + 29/3816. Calculate the common denominator of -151/30 and p.
1590
Suppose -5*z + 4 = -1. Suppose 3*a + 45 = 6*a. Let m = a - z. What is the least common multiple of m and 18?
126
Let t = -115181/21432 - 2/2679. Calculate the common denominator of t and -46*((-8)/52 - 450/(-2080)).
8
Let s(c) = c**3 + 5*c**2 + 6*c. Let k be s(-4). Let a(g) = 4*g. What is the least common multiple of a(1) and (-7 - -9) + k/(-1)?
20
Suppose -z + 0*z - f + 40 = 0, 0 = -4*f + 20. Let n = z - -25/2. Find the common denominator of n and 71/4.
4
Let n = -31971/7 + 1599327/350. Find the common denominator of 119/160 and n.
800
Let j(q) = q**2 + 7*q + 9. Calculate the least common multiple of 10 and j(-8).
170
Let s(m) = 2*m + 2. Let u be (-22)/(-18) + 40/(-180). Let x(c) = c**3 + 10*c**2 + 2*c + 24. Calculate the lowest common multiple of x(-10) and s(u).
4
Suppose 3*v - 2*m = 30, 6*m - 30 = -3*v + m. Let s(b) = b**3 - 6*b**2 + b - 3. Calculate the lowest common multiple of s(6) and v.
30
Let q = 40824/743 + 70973999/7430. Let r = q - 9617. Find the common denominator of r and 23/4.
20
What is the common denominator of (-15)/(-36) - (-5)/((-5)/(-3)) and -31/52?
156
Suppose -51*f = -47*f - 57448. Let j = 516953/36 - f. Find the common denominator of -101/20 and j.
180
Let b(p) = -2*p**2 + 14*p + 10. Let q be b(7). Calculate the common denominator of -56*((-3)/6 - 0) and (1/q)/(3/108).
5
Suppose 5*g - 190 - 70 = 0. Suppose -2 - 23 = -5*p. What is the smallest common multiple of p and g?
260
Let j = 1501 - 1471. What is the least common multiple of j and 360?
360
Let x be (7*2)/(8/4). Let m(l) = l**3 - 7*l**2 + 2*l - 7. Let i be m(x). Suppose -6*u + i*u = 18. What is the least common multiple of 20 and u?
180
Let b be -1*19 + (-9)/(-3). Let p = 19 + b. Find the common denominator of p/(-72)*(106 + -3) and 11/8.
24
Suppose -13*m = -12*m - 16. What is the least common multiple of m and -3 + 2*(-33)/(-6)?
16
Let v = -14/241 - 11414/2651. Let r = v - -683/154. Find the common denominator of -7/6 and r.
42
Let r = -713 - -7838/11. Calculate the common denominator of 77/8 and r.
88
Let f = -8/187 + 5308/1683. Let b = -1394429/60 + 23239. What is the common denominator of f and b?
180
Let k(o) = -o**3 - 18*o**2 - 20*o - 33. Calculate the least common multiple of 114 and k(-17).
342
Let x be (-54232)/(-10) - (-2)/(-10). Let j = 146450/27 - x. Let m = -4271/4 + 1062. Calculate the common denominator of m and j.
108
Suppose -3*b + 49 = -719. What is the smallest common multiple of (b/48)/((-2)/(-3)*1) and 6?
24
Let t(x) = x**2 - x - 2. Let n = 28 - 28. Let j be t(n). Find the common denominator of (25/220)/(j/28) and 47/10.
110
Calculate the common denominator of 339/30 + 3/24*8 and -37/5.
10
Let c be (243/(-2))/((-1284)/16). Let s = -6661/1926 + c. Calculate the common denominator of -109/18 and s.
18
Let v = -2381/846 - 121/47. What is the common denominator of v and -83/40?
360
Suppose 3*u + 4*d = 9, 6*u - 19 = 2*u - 3*d. Suppose u*x - 91 + 14 = 0. Calculate the lowest common multiple of 9 and x.
99
Let o = 175 + -184. Let j(r) = r**3 + 0 + 2 + 8*r**2 - 6 - 11*r. Calculate the lowest common multiple of j(o) and 6.
42
Suppose 30 = -5*b + 90. Suppose 2*r - 4*j + 28 = -2*r, r = 2*j - b. Let i = 6 + r. Calculate the lowest common multiple of i and 2.
4
Let q(x) = -2*x**3 - 2*x + 10. What is the lowest common multiple of q(-3) and 110?
770
Suppose -138 = -4*c - 5*a, -29 - 37 = -2*c - a. Suppose 42*j - 144 = 33*j. What is the smallest common multiple of j and c?
32
Suppose 10*c = 7*c + 30. Calculate the smallest common multiple of 82 and c.
410
Let m = 7267212 - 494161095/68. Let k = 1663923/11864 + 3/11864. Let r = k - m. What is the common denominator of 119/10 and r?
170
Let z = 46 + -48. Find the common denominator of 24/35*20/z and (125/12)/(-5)*10.
42
Suppose -281 = 7*s + 370. Let x = s - -129. Calculate the least common multiple of 20 and x.
180
Find the common denominator of (43/(-3))/((-585)/27) and -4/117.
585
Let k = -127 + 128. Calculate the common denominator of 35/22 and (k + 3 - -73)/(-2).
22
Let v(y) = 3*y - 1. Let u be v(3). Suppose 0*m + m = n - u, 5*n = -20. What is the common denominator of 37/9 and (-3)/m + 118/24?
18
Let i(w) = w**2 - 21*w - 117. What is the lowest common multiple of 99 and i(27)?
495
Let i(w) = 4*w**3 - w**2 + w. Let y be i(1). Suppose 5*d - 3*z = 3*d - 39, y*z + 86 = -5*d. Let h = -10 - d. Calculate the lowest common multiple of h and 22.
88
Calculate the least common multiple of 52 and (-94)/(-423) - 2102/(-18).
468
Let i = -431793/176 + 2453. Calculate the common denominator of i and 31/9.
1584
What is the common denominator of 149/48 and 7*-4*(-7)/63?
144
Let t = 50 + -57. Calculate the lowest common multiple of 63*(t/(-3) + -2) and 27.
189
Suppose -4*g - 2*f + 4 = -18, 4*g - 5*f - 57 = 0. Let v(b) = b**2 - 16*b + 4. What is the smallest common multiple of v(16) and g?
8
Suppose 0 = -7*d + 1141 - 1001. Suppose w - 2*o = 16, -w - 4*w + 5*o + 60 = 0. Calculate the lowest common multiple of d and w.
40
Let i(r) = r**3 + 4*r**2 + 4*r + 7. Let c be (-588)/(-27) + 4/18. Suppose 0 = -f - 0 + c. Calculate the smallest common multiple of f and i(-3).
44
Suppose 0 = -4*b + 5*b + 7. Let c(u) = -u**3 - 7*u**2 - 4*u + 4. Calculate the least common multiple of c(b) and 9.
288
Suppose -3*t + 22 = 4. Suppose p = t*p - 10. Suppose -p*w + 0 + 12 = 0. What is the smallest common multiple of 3 and w?
6
Suppose 48613 - 6789 = -4*u - 4*x, -10472 = u - 3*x. Let r be (-24)/u*100/15. Let l = -26513/10460 - r. Calculate the common denominator of l and 55/12.
60
Let k be (53*-2 + 2)/(-1). Suppose -6*u + 16 = -k. Suppose -u = -d + 3*p, 0*d + 5*p = -4*d + 29. What is the least common multiple of 8 and d?
88
Let l = -90257 + 17870959/198. Find the common denominator of l and 81/14.
1386
Suppose -2*k + 12 = 2*x, -3*k + 12 + 0 = 2*x. Calculate the lowest common multiple of 2 and x.
6
Let o be 2*(-1)/6 + (-185)/30. Let w = -34/5 - o. Let h = -3/224 + -4565/2016. Find the common denominator of h and w.
90
Let h(p) = -6*p**2 - 9*p - 13. Let f(w) = w**2 + 1. Let d(s) = 5*f(s) + h(s). What is the least common multiple of d(-5) and 16?
48
Suppose 229 + 198 = 7*x. Let p = -96 + x. Calculate the common denominator of -68/9 and p.
9
Let b = 106 - 193. Calculate the least common multiple of (0 - 4/14)/(b/1827) and 6.
6
What is the least common multiple of 16/56 + (262/14 - -3) and 1358?
14938
Let y(n) = 10*n**2 - 10*n**2 - 3 - 3*n**2 + 0 + 6*n. Let x be y(2). What is the smallest common multiple of 10 and 2/3 - 4/x?
10
Suppose 3*z + 45*z - 576 = 0. Calculate the smallest common multiple of z and 312.
312
Suppose 3*o - 2 - 1 = r, -1 = -5*o + 3*r. Calculate the least common multiple of 1 and (90/(-12) - 8)/(o/(-4)).
31
Suppose -51*z = -46*z + 185. Let t = z - -38. Calculate the smallest common multiple of 1 and t.
1
Let k = 46564 - 22956038/493. Let a = -4/763245147 - 4762758748357/752559714942. Let p = a - k. What is the common denominator of 57/16 and p?
112
Let x = 616 + 4869. Suppose -4*v - x = -3*v. Let a = 32803/6 + v. Calculate the common denominator of a and -59/16.
48
Let q = 15119/42 + -2409/7. Find the common denominator of q and (418/(-24))/(-11)*18/4.
24
Calculate the least common multiple of (27/(-4))/(72/(-24))*4 and 51.
153
Suppose -5*o - 3*m - 70 = -8*m, 4*o = -m - 46. Calculate the common denominator of (-190)/(-15)*(-5)/12 and (-121)/o - 1/1.
36
Let q(x) = x**2 + 7*x + 48. Let s be q(-9). Calculate the lowest common multiple of (s/4)/(2/4) and 6.
66
Suppose 2*m = 9 - 11. Calculate the lowest common multiple of 16 and (1/3)/(19/18 + m).
48
Suppose -7*b + 27 = -6*b. Let m = b + -11. Let z = -59 - -75. Calculate the least common multiple of z and m.
16
Calculate the common denominator of -119/80 and 8/80*1785/(-56).
80
Let b = -225941/220818 - 74/1937. Calculate the common denominator of b and 103/12.
228
Let j = -123