 = 89385/14 + -6378. Find the common denominator of 19/172 and z.
1204
Let k = 35399/6 + -5916. Let u = -5 + -2. Find the common denominator of k and (u/3 - 1)*189/224.
48
Let j(c) = 3*c - 15. Let n be j(0). Let y be -29 + 0 + (-1 - -3). Calculate the least common multiple of 5 and y/n*10/6.
15
Let h(b) = b**2 - 9*b - 1. Let a be h(9). Let c be a/(-5) - (-1022)/(-35). Let o = -21 - c. What is the lowest common multiple of o and 22?
88
Calculate the common denominator of (31 + -1)*(-3)/21 and (6 - (-175)/(-28))*388/(-10).
70
Let y = -10754 + 215149/20. What is the common denominator of y and 1/6?
60
Let w = 5542 - 576377/104. Let t = 4208 + -41979/10. Calculate the common denominator of t and w.
520
Let v(b) = -b**3 - 3*b**2 + 8*b + 6. Let f be v(-5). Suppose -4*l = -5*l - 4, 0 = 3*p + 5*l - f. What is the lowest common multiple of 58 and p?
348
Let c = -15539/22 - -704. Let v be 3 + (1 - (-78974)/(-20)). Let b = 3957 + v. Find the common denominator of b and c.
110
Let o(j) = -j + 4. Let t be o(2). Suppose -s + 0*u = -t*u + 6, 2*s = -4*u + 28. Let d = -10 + 16. Calculate the least common multiple of s and d.
12
Let j = -523 + 3656/7. Calculate the common denominator of j and 20/29.
203
Suppose -200 = -21*u + 17*u. Calculate the smallest common multiple of 10 and u.
50
Let r = 5 + 0. Suppose 0 = 4*n - 16, r*t - 2*n = 7*t - 20. What is the smallest common multiple of t and 24?
24
Let f(u) = 2*u**2 + 9*u + 10. Let b be f(-5). Find the common denominator of -8/25 and (158/b)/(36/(-27)).
50
Suppose 4*r - 2018 = 2*x, -3*x + r = -4*r + 3024. What is the common denominator of (1*(-4)/(-6))/((-102)/x) and -46/15?
45
Calculate the common denominator of 89/56 and ((-10)/(-3))/2 + (-311)/120.
280
Let r = -41249/25676 + -4/6419. What is the common denominator of 5/14 and r?
28
Suppose 3*w = -2*g + 62, 0 = -0*w + 5*w + 2*g - 102. Suppose -5*v + 0 + w = 0. Suppose 5*d - v = d. What is the smallest common multiple of d and 8?
8
What is the common denominator of 1/45 and (-1)/((-126)/(-768)) + (-3)/(-7)?
45
Find the common denominator of (-214)/(-15)*165/(-220) and (-350)/(-24) - (-2)/3.
20
Calculate the least common multiple of 12 and (-6776)/(-49) - (-1 + (-27)/(-21)).
276
Let a = 1 + 2. Suppose -5*y - 4 = -3*z, a*z - 4*y - 4 = 4. Let p = -158 + 160. Calculate the least common multiple of z and p.
8
Let w = -5111 - -30569/6. Find the common denominator of 67/24 and w.
24
Suppose u = 4*u - 6. Suppose v - m - 8 = 0, v + 0*v - 5*m = 16. Calculate the lowest common multiple of v and u.
6
Suppose 3*q - x - 5 = -5*x, 0 = 4*x + 4. Calculate the least common multiple of q and 37.
111
Suppose 7*m = m + 38220. Let g = -140215/22 + m. Let l = -2408 + 216677/90. What is the common denominator of g and l?
990
Calculate the common denominator of 8/112*2968/48 and -163/30.
60
Let f(s) = -s**3 + 11*s**2 - 20. Calculate the least common multiple of 60 and f(10).
240
Suppose k - 240 = 5*k. Let l be ((-24)/k)/((-1)/(-5)). Suppose -3*u = 5*q - 58, -8 - l = -q + u. What is the lowest common multiple of 9 and q?
99
Find the common denominator of 0/1 + (-11)/1540*-54 and -75/28.
140
Let r(m) = m. Let o be r(0). Suppose -4*w = -3*t + 4, -w = -o*t - 5*t + 18. What is the least common multiple of w and 27?
54
Let i = -12009/16 - -749. Calculate the common denominator of (-5)/(-2)*13/(-4) and i.
16
Let r be 3/4 + (-259425)/(-27). Let j = r - 9598. Calculate the common denominator of -31/8 and j.
24
Find the common denominator of 23/5 and (51/(-5))/(581/415).
35
Let u(k) = -k**3 - 2*k**2 + k - 2. Let b = 188 - 180. What is the lowest common multiple of 4*(10/b - (-3)/12) and u(-3)?
12
Let u = 160447 - 1449464/9. Let c = u - -606. Find the common denominator of c and -25/7.
63
What is the smallest common multiple of 5 and -3*(-6 + 80/(-15) + 5)?
95
Let h(a) = -2*a - 10. Suppose 0*u - 4*u = -8. Suppose t + 0*t = 5*m + 34, u*t = -2*m - 16. Calculate the smallest common multiple of h(m) and 6.
12
Suppose 0 = 713*s - 707*s - 2280. What is the least common multiple of s and 11?
4180
Let n = -80 - -92. Let h(l) = -l**3 + 11*l**2 + 15*l - 27. Calculate the least common multiple of 9 and h(n).
9
Let f = -1288403/93166 + 1025/74. Let c = -40653/73022 + f. Let z = 2308/3 + -13943/18. What is the common denominator of c and z?
522
Let y = -6/1135 + -70352/3405. Let p = 1515/11 - 35975/264. Calculate the common denominator of p and y.
24
Find the common denominator of ((-7)/35)/((-4)/630) and -47/313.
626
Suppose 2*t = d + 16, -5*d = 4*t - 44 - 2. Let k(n) = -n - 2. Let s be k(5). Let z = s + 10. Calculate the lowest common multiple of z and t.
9
Let p = -111/1463 - -52/209. Calculate the common denominator of 22/171 and p.
1197
Find the common denominator of 111/28 and (-2 - (-45)/21)/(32/(-928)).
28
Let n = 342 + -311. Calculate the lowest common multiple of 3 and n.
93
Suppose 3*p = -3*h + 21, 25 = -p + 6*p. Let m(j) = -j - 1. Let s be m(h). What is the smallest common multiple of 18 and 4*(s - (3 + -7))?
36
Let y = 111 + -126. Let j = 83/35 - 2182/315. What is the common denominator of j and -3 - (1/4)/(y/732)?
45
Suppose 5*c = 3*h + 4976 + 2489, -2*h = -5*c + 7460. Let o = -26681/18 + c. Find the common denominator of -4 and o.
18
Let i = 208039/135702 + 10/2513. Calculate the common denominator of i and -77/54.
54
Let d = 207 - 315. What is the common denominator of -3*7*(-8)/d and -43/8?
72
Let f be ((-1)/2)/(31157/(-5194) + 6). Calculate the common denominator of 28 and 2/(-1)*-1 - f/(-583).
11
What is the least common multiple of 80 and (-14)/35*-10*10?
80
Suppose 2*i = -2*m + 8, 701*i - 3*m - 43 = 699*i. Calculate the lowest common multiple of 1 - (-2 + 5) - -39 and i.
407
Let v(w) = -w**2 - 4*w + 4. Let r = -71 + 40. Let j = 47 + r. What is the smallest common multiple of j and v(-4)?
16
What is the common denominator of -83/130 and (-8)/30*(-2058)/(-560)?
650
Let m be (-38)/(-4)*2/(-4)*-4. Let u = m - 5. Calculate the least common multiple of u and -3*(1 - (-50)/(-6)).
154
Let m = 471029/72 + -6541. Calculate the common denominator of m and 1/104.
936
Suppose 195 = 3*d + 96. What is the lowest common multiple of 1 and d?
33
Let s(f) = f + 2. Let j be (-2 + 14)/(-4) - 0. Let g be s(j). What is the common denominator of 37/4 and g/2 + 115/65?
52
Let s = 1/10272 + -14773/71904. What is the common denominator of s and -61/14?
112
Let c = -95 + 315. Suppose 4*h - 2*d - c = d, 3*d = -3*h + 165. Calculate the common denominator of h/(-8) + 2 + 1 and 59/5.
40
Suppose -4*c + 1 = -35. Let q(n) = 4*n**3 + 2*n**2 + n. Let v be q(-1). Calculate the least common multiple of c and 1 + v + 4 - (-2 + 1).
9
Let n = -25/176 - -10205/3696. What is the common denominator of 14/27 and n?
189
Let r be 835389/(-71370) + (4 - 1). Let j = r - -4/793. Find the common denominator of (74/8 - 1) + 2 and j.
20
Suppose 35 = -5*q - c, c - 19 = 4*q - 0*c. Let y = 1 - q. Calculate the lowest common multiple of 11 and y.
77
Suppose -52*m + 51*m + 20 = 0. Suppose -m*z + 12 = -16*z. What is the smallest common multiple of 2 and z?
6
Suppose 4*k = 3*o - 4*o + 39, -o = -3. Calculate the least common multiple of k and 9.
9
Let w = 2/1525 + 123517/6100. Calculate the common denominator of w and 133/96.
96
Find the common denominator of -3 + (-12)/(-5) - 958/(-180) and 2/99.
198
Suppose 6*h + 3*t = h + 17, 3*h + 3*t - 9 = 0. Suppose h*l = -0*l - 20. Find the common denominator of 53/(-20) + 10/l and 89/6.
60
Let q(r) = 2*r - 26. Let t(j) = -j**3 + 9*j**2 + 3*j - 8. Let u be t(9). What is the smallest common multiple of q(u) and 6?
12
Let v(g) = -g**3 + 2*g**2 + g - 9. Let y be v(0). What is the smallest common multiple of 14 and (-1 + 0)*(-13 - y)?
28
Suppose i - 4006 = -2*x + 5*i, -5*x + 4*i + 9991 = 0. Let w = x + -27875/14. Let j = 311/5 + -1739/20. What is the common denominator of j and w?
28
Let s = 1/451 - -2239/7216. Find the common denominator of s and -11/26.
208
Let x = -291 + 336. Calculate the least common multiple of 99 and x.
495
Let c = -748 - -766. What is the lowest common multiple of 100 and c?
900
Suppose o = -2*o. Suppose -5*p + 5 + 0 = o. Calculate the smallest common multiple of p and 6.
6
Let t = 215/2 + -114. Find the common denominator of (1/((-40)/27))/(8/20) and t.
16
Let w = -291871 + 3500425/12