/18.
504
Let z = 65611/137328 + 4/2861. Let a be (10/(-28))/(-33*3/105453). Let n = a + -2648/7. Calculate the common denominator of n and z.
528
Let b be 4 + -3 + 2 + 23. Let f(p) = p**2 - 26*p - 1. Let t be f(b). Calculate the lowest common multiple of t/(1/(-68)*2) and 10.
170
Suppose 5*a - 366 = -3*d, -66*a + 3*d + 84 = -65*a. What is the least common multiple of 675 and a?
675
Suppose 3*y - 247 = 77. Let j be (y/(-30))/(-6) + (-14)/(-10). Calculate the common denominator of (-225)/(-189) + (-4 - j)/2 and -131/12.
84
Suppose -3*c - 4*j - 4 + 26 = 0, 0 = -4*c - 4*j + 28. Let r = -557 + 558. Calculate the smallest common multiple of (-4)/c + (-20)/(-12) and r.
1
Suppose 0 = -d - w, d - 5*w - 10 - 14 = 0. Suppose 3*m = 25 - d. Let k(x) = 2*x + 10. What is the least common multiple of 9 and k(m)?
72
What is the lowest common multiple of 692 and (-192)/(-120) - (-96)/40?
692
Let j be (-3 - -2)*(-125 + 16). Suppose -65 = -3*w + j. What is the lowest common multiple of w and 8?
232
Let r = -14 - -51. Suppose r + 3 = -2*x. Calculate the common denominator of -29/33 and (104/30)/(x/50).
33
Let n be (-16 - -162) + (-2)/((-2)/(-3)). Suppose 12*l = 1 + n. Calculate the smallest common multiple of l and 119/35 + 6/(-15).
12
Suppose -31*c = -27*c - 32, -7*w - 4*c + 354 = 0. What is the lowest common multiple of w and 188?
4324
Let o = -260/139 - -100123/52264. Find the common denominator of o and 119/470.
1880
Let d be 3/(3/9*(-18)/1758). Let a = 333979/2 + -4983293/30. Let j = d + a. Find the common denominator of -61/9 and j.
45
Let f = 1088781/26 + -41874. Find the common denominator of f and (0 - (-117)/(-30)) + 3.
130
Let s(r) = 13*r + 4. Let k be s(0). Suppose 8*m = 9*m - k. What is the least common multiple of 14 and m?
28
Let j be ((-90737)/(-186))/(-2 - (-20596)/30). Let k = j + 3/5134. Calculate the common denominator of k and 35/12.
408
Let r be (-5)/(1 - 34/24). What is the smallest common multiple of 130 and ((-15)/r + -2)/((-14)/56)?
130
Let g be (4/62)/(60/74). Let l = 6106831378699/985257595170 + 6/353138923. Let i = l + g. Find the common denominator of i and 43/22.
198
Suppose 0*o + 17 = -o - a, -o - 4*a - 2 = 0. Let i(k) = k**2 + 18*k + 112. What is the least common multiple of 6 and i(o)?
600
Suppose 3*z + v = 249 + 886, 5*z - 1887 = 3*v. Let a = -34073/90 + z. Calculate the common denominator of a and 31/45.
90
Find the common denominator of (345501/(-4420))/(-9) - 9 and 107/54.
9180
Let r be (1 - -3)/((-31)/155). What is the common denominator of 61/r*1 - (-448)/(-560) and 55/14?
140
Suppose -f + 11*t - 13*t + 161 = 0, 0 = 3*f + 2*t - 495. Let c = f + -107. Calculate the least common multiple of 50 and c.
300
Let n = 1020 + -502. What is the least common multiple of n and 63?
4662
Let d = -85 - -64. What is the lowest common multiple of (5 + (-3 - 3))*d/1 and 54?
378
Let j(i) = i**3 + 5*i**2 + 11*i + 13. Let a be j(-2). Suppose -p + 2*p - a = -3*u, -p - 4*u - 2 = 0. Calculate the lowest common multiple of p and 14.
126
Suppose -3*q - o = -77, o = -3*q + 6*o + 83. Let s = -1 + 6. Suppose -12 = 4*i, 0 = n + s*i + 4 + 9. Calculate the lowest common multiple of n and q.
26
Let q(x) = -9*x - 32. Let c(o) = -34*o - 130. Let d(l) = -2*c(l) + 9*q(l). Calculate the least common multiple of 7 and d(-3).
77
Let v(a) = -a**3 - 8*a**2 + 20*a + 5. Suppose 0 = -8*t + 5*t - 207. Let l = t + 59. Calculate the lowest common multiple of 6 and v(l).
30
Suppose 19*w = -11*w + 600. Let f = 46 - 28. Let g = f + 6. What is the lowest common multiple of g and w?
120
Suppose 3*j = 16 + 2. Let l = 36 + -33. Suppose q - j - 32 = -3*a, -l*q - 18 = -2*a. What is the least common multiple of 12 and a?
12
Let c(s) be the second derivative of -5*s**3/6 + 193*s**2/2 - 126*s. What is the least common multiple of 18 and c(13)?
1152
Let c be (94/4)/(6/12). Suppose 7*y + 185 = 2*y. Let r = y + c. Calculate the lowest common multiple of 10 and r.
10
Let g = -5935 - -11783/2. What is the common denominator of -42/109 and g?
218
Suppose 65*u = 77*u - 48. Suppose -5*n + 110 = -9*b + u*b, 110 = 5*n + 4*b. Calculate the smallest common multiple of 9 and n.
198
Let s be 1247994/(-144) + -1 + -1. Let m = s + 8657. What is the common denominator of 143/12 and m?
24
Let w = 48902 - 4107713/84. Calculate the common denominator of -185/462 and w.
924
Suppose 100 = 9*d - 4*d. Suppose -b - 115 = -5*m, 0*m + 2*m - 2*b - 54 = 0. Calculate the least common multiple of d and m.
220
Suppose 512 = 11*r + 13*r - 352. Suppose 0 = -g + 5*g - 192. Calculate the lowest common multiple of g and r.
144
Let t(x) be the third derivative of x**5/12 - x**4/24 + x**3/6 + 3*x**2. What is the smallest common multiple of t(1) and ((93 - 27)/3)/(1 - 0)?
110
Let f = -25379 - -862991/34. Calculate the common denominator of -37/70 and f.
1190
Let a(h) = 46*h - 572. Let v(b) = -9*b + 115. Let p(l) = 3*a(l) + 16*v(l). Suppose 0*x - 18 = -3*x. What is the lowest common multiple of x and p(19)?
30
Let m = -286 - -288. Calculate the smallest common multiple of 8 and -1 + m - (20/(-5) + -3).
8
Let i = -8 - -9. Let x = -8830 + 70715/8. What is the common denominator of (i*-2)/((-16)/(-98)) and x?
8
Let m(s) = s**3 - 10*s**2 + 2*s - 9. Let q be (-48)/(-5) + -3*(-16)/120. What is the smallest common multiple of m(q) and 14?
154
Let c = -475 - -16622/35. Find the common denominator of (-194951)/5480 + 48 + -10 and c.
280
Let l = 29358 + -24561. Calculate the least common multiple of l and 468.
19188
Suppose x + 57 = 33. What is the lowest common multiple of ((-3)/(-3 + (-69)/x))/1 and 24?
24
Let q(j) = 33*j**3 - j**2 + 2*j - 1. What is the least common multiple of (1*(-5 + -1))/((-166)/415) and q(1)?
165
Let r = 2011/88 + -129/11. What is the common denominator of r and 29/37?
296
Let a(o) = 5*o - 13. Let b be (-1 + -1)/(3/(-12)*2). Suppose -2*g - 80 = -b*n, 0*n + 3*g - 6 = -n. What is the least common multiple of n and a(7)?
198
Suppose -4*y = -4*z - 4 - 0, -z = y - 1. Find the common denominator of (0 + (-255)/(-6))*y and (56/32)/((39/20)/13).
6
Suppose -374*c + 85*c = 160*c - 8980. Let d = 212 - 118. What is the least common multiple of d and c?
940
Suppose 8*h + 5 = 19*h - 83. Calculate the lowest common multiple of h and 1534.
6136
Let d be 8/(-6)*(4675/(-2360) + 2). Let b = d - 29/1180. Calculate the common denominator of 57/8 and b.
40
Let z be (138/88)/(8/((-448)/119)). Let p = -95397715573/1870 + 51014814. Let s = z + p. Find the common denominator of s and -49/52.
260
Find the common denominator of (-3 - (-64)/20)*1*(-34710)/(-9204) and -41/42.
2478
Let x be 1 + ((-19659)/(-48) - 3). Let i = 1655/4 - x. Let a = -1757/2 + 911. Find the common denominator of i and a.
16
Let i = 130/11 - 629/66. Find the common denominator of i and 7/666.
7326
Suppose -4*o - 2*v = 604, 12*v - 13*v = 4. Let u = 9/4 + -27. Calculate the common denominator of (o/(-12))/((-369)/41) and u.
108
Let p(v) = 5*v**2 + 1. Let w(n) = 10*n**2 + 12*n - 68*n**3 - 3 - 71*n**3 + 138*n**3. What is the least common multiple of p(-1) and w(11)?
24
Let p be (-4568)/24 + (-16)/(-12). Calculate the common denominator of (7920/p)/16*(-2)/40 and -22/15.
420
Let o(u) = -u**2 + 2*u + 15. Let g be o(5). Let l(n) = -5*n + 0 + 7 - n**2 - 1 + 4*n. What is the lowest common multiple of l(g) and 26?
78
Suppose -4*i = -2*t + 10, -i + 9*t - 7 = 10*t. What is the common denominator of 15/(-54)*-188*i/(-360) and -11/24?
648
Let y = 2018/125 + 53/500. What is the common denominator of y and -1 - -2 - 2/(-12)?
12
Suppose 2 = -3*g + 4*g. Suppose d - 2*d = -1, -5*j + g*d + 118 = 0. Suppose 3*s - 34 = s + 3*o, s - j = -2*o. What is the least common multiple of 10 and s?
20
Suppose -8*i = 10621 + 819. Let g be 1*-3 + i/1725. Let l = -1/230 + g. What is the common denominator of l and 27/14?
42
Suppose 3*b - 158 = -4*a, -b + 5*b + 5*a - 209 = 0. Let v(j) = 6*j**2 - 31*j - 393. What is the smallest common multiple of b and v(-6)?
414
Suppose -160 = -38*k - 94 + 162. Suppose -p + 2*p = 72. What is the lowest common multiple of k and p?
72
Let j = 289552/39 + -7423. Find the common denominator of j and (-9)/26*7456/2097.
39
Suppose -28 = -8*m + 4*m. Suppose -m + 55 = 2*v. Find the common denominator of 13/10 and (-6)/v - (-5)/(-52).
130
Let w(b) = 2*b + 2. Let v(i) = 