9. Let y be x(m). Let n = -15 + y. What is the least common multiple of 64 and n?
64
Let y = -105 - -76. Let w = 33 + y. Suppose 0 = 3*h - 77 + 29. Calculate the least common multiple of w and h.
16
Let l = -5696/11 + 27111/22. Let p = l - 736. What is the common denominator of -107/44 and p?
44
Suppose -2*s - 3*s = -140. What is the lowest common multiple of (968/99)/(-11)*-54 and s?
336
Suppose -l = -4*x - 1061, 4*x - 5*l + 4 + 1077 = 0. Let p = -243 - x. What is the least common multiple of p and 5*5/(50/36)?
126
Suppose 0 = -12*d + 13*d + 6. Let h be (8 + -7)/((-1)/d). Suppose -h*u = 5 - 71. Find the common denominator of -23/6 and u.
6
Suppose 370 = 38*h - 33*h. Let a = 72 - h. Let n = 33 - a. Calculate the lowest common multiple of 4 and n.
140
Let n(i) = i**3 - 10*i**2 + 27*i - 702. Calculate the smallest common multiple of n(15) and 18.
828
Let u(g) = -g + 16. Let l be (-778)/(-3) + 11/(198/12). Calculate the lowest common multiple of (-1*l/5)/(8/(-4)) and u(8).
104
Suppose 4*x - 28 = -5*n, -3*x - 2*n = -n - 10. Suppose 2 - 16 = -x*s. Suppose 251 + 85 = s*k. What is the lowest common multiple of 8 and k?
48
Let r = -20343/55 + 1828/5. Find the common denominator of (-341)/93 - (1 + 0) and r.
33
Suppose -f - 320 = -3*f. What is the smallest common multiple of f and (0 + -1 - (-140)/84)/((-11)/(-165))?
160
Let z(h) = 7*h**2 - 6*h - 12. Let p be z(-5). Let f = p + -153. Calculate the smallest common multiple of 40 and f.
40
Let l be (-681)/2*(-17548112)/(-594). Let q = -10059396 - l. Let r = 2668/11 + q. Calculate the common denominator of 2/21 and r.
63
Let h be -30*((-39)/15 - -1). Suppose h - 11 = 3*f - 2*b, 5*f = -b + 79. Calculate the smallest common multiple of 57 and f.
285
Let u = 4879 + -2925. Let i be u*((-1153)/(-60) - 0). Let a = 37554 - i. What is the common denominator of a and -37/30?
30
Calculate the common denominator of 31/((-1023)/9)*226/(-180) and -137/60.
660
Calculate the smallest common multiple of 7 and (42/(-9) - -5)/(5*(-7)/(-28455)).
1897
Let f = 562 - -10105. Calculate the least common multiple of 7 and f.
74669
Let q(o) = -928*o + 10214. What is the lowest common multiple of 1524 and q(11)?
1524
Let c = 44 - 20. Suppose 2 = 33*h - 32*h. Suppose 0 = -h*i - p + 16, 3*p = -3*i - 0*p + 18. What is the least common multiple of c and i?
120
Let b = -6677659/6 - -1116080. Let i = b - 3145. Let n = 9071/5 + -1807. What is the common denominator of n and i?
30
Let d = -5215 - -10745. Calculate the lowest common multiple of 5530 and d.
5530
Let d be 1*10*((-75)/(-10) - 0). Calculate the common denominator of ((-5)/4)/(9/(-87)) and 4*(d/56 + 0).
84
Let f be (-10)/(-6) + -1 + (-23153)/(-21). Let g = 1104 - f. Find the common denominator of 17/45 and g.
315
Let a(t) = 459*t + 2 + 4 - 1. Let w be a(-3). Let v = 2799/2 + w. Find the common denominator of 1/18 and v.
18
Suppose i + 2*i = -s + 17, -4*s = -5*i. Suppose -2*u - 6 = u + 3*w, 0 = -2*w - 4. Suppose 0 = s*f - u - 20. Calculate the lowest common multiple of f and 7.
28
Find the common denominator of -61/1100 and (-1)/33*(-2)/(((-400)/474)/2).
1100
Let m(g) = g. Calculate the least common multiple of m(4) and (-907 - -906)/(1/(-14)).
28
Suppose -541 = -2*p - 539. Calculate the common denominator of 41/22 and (-1620)/(-24)*p*2/280.
616
What is the smallest common multiple of 42 and 3 + (10 - -43) + -4 - 10?
42
Suppose 336 = z - 755. Let p = 10931/10 - z. What is the common denominator of ((-354)/(-20))/((-9)/(-3)) and p?
10
Calculate the least common multiple of 10 and -8 + (10 - 6) + -2 + 248.
1210
Calculate the common denominator of 2 - 10*(-1)/(-6) and 62/(-180) - ((-7605)/(-702) + -11 + 0).
45
Calculate the smallest common multiple of 546 and (22 - 4)/((7 + -1)/126).
4914
Let t = 4027 - 2199. Calculate the common denominator of -47/7 and 954/t + (-10)/20.
3199
Find the common denominator of ((-17)/((-8262)/(-36)))/(-3 - -1) and 4/15*(-6)/(-4).
135
Let t = -358 + 423. Suppose -5*n = -3*k + 43, 5*k + 5*n - 6*n = 35. Calculate the lowest common multiple of k and t.
390
Let j = 2619535 + -20987889/8. Let y = 3941 + j. What is the common denominator of -65/16 and y?
16
Let s = -2274 - -2883. Calculate the smallest common multiple of s and 15.
3045
Let v(k) = -k**2 + 9*k + 144. Let y be v(23). What is the common denominator of (4/(-6))/(128/225) and 1*18/9 - y/36?
576
Let n(w) = -w**2 - 7*w + 55. Suppose 0 = -3*p - 2*q + 34 - 14, -2*p + 35 = -3*q. What is the smallest common multiple of n(0) and p?
110
Let q(u) = u**3 + 8*u**2 - 9*u - 1. Let a = -18 + 9. Let k be q(a). What is the common denominator of -69/4 and k/(-12)*(-184)/(-12)?
36
Suppose 5*f - 210 = -3*n, -5*n + f + 294 = -0*n. Calculate the lowest common multiple of n and 164.
2460
Find the common denominator of -41/72 and 113/(-315) + (-636)/(-2968).
360
Let d = 216716528305/1632 - 132791996. Let m = -202/51 - d. Find the common denominator of m and -19/20.
160
Calculate the common denominator of 2667/(-156) - ((-84)/(-182))/3 and 71/360.
360
Let z = 2401 - 1182. What is the lowest common multiple of 3 and z?
3657
Suppose u + 4*t - 87 = 0, 41*t - 293 = -3*u + 45*t. Calculate the smallest common multiple of u and 836.
4180
Let p(c) = 14*c - 1016. Suppose -12 = i + 2*i, -2*i + 134 = j. What is the smallest common multiple of p(73) and j?
426
Let q = 1840/9 - 36809/180. Find the common denominator of q and -2 - 11/144*3.
240
Suppose 0 = -200*x + 202*x - 4*v - 1358, -2*x - 3*v + 1316 = 0. Calculate the smallest common multiple of 23 and x.
667
Let w(b) = -22*b**2 - 111*b + 6. Let l = 48 + -20. Let c = 39 + l. What is the lowest common multiple of c and w(-5)?
737
Let x(c) = c**3 + 8*c**2 + 2*c - 12. Let i be x(-6). Let j be 12/i - 1/4. Calculate the smallest common multiple of 15 and j + 0 + 3 + (1 - -29).
165
Let q = -1301 - -15661/12. Let p be (-3 - 21/(-9))*(-36)/44. Let z = p + -194/33. Calculate the common denominator of q and z.
12
Let u(w) = 18*w**3 + 7*w**2 + 11*w + 15. Let x be u(8). Let y = -293113/30 + x. Calculate the common denominator of 7/18 and y.
90
Let d = 380/1353 - 14/41. Let s = d + -95/66. Find the common denominator of s and 101/14.
14
Calculate the common denominator of -31/2439 and 570 - 544 - (-482)/(-20).
24390
Let d(v) = 14*v**2 + 3*v - 40. Let h be d(8). Suppose 4*z = -4*z + h. Calculate the common denominator of ((-12)/30)/((-18)/z) and 151/6.
18
Let u(q) = 4*q**2 - 1. Let m(h) = -h**2 - 1. Let n(t) = -5*m(t) - u(t). What is the smallest common multiple of 33 and n(-9)?
957
Suppose 143*r - 6657 - 3913 = -2705. What is the least common multiple of r and 15?
165
Let a(j) = -56*j + 4780. Calculate the smallest common multiple of a(84) and 16.
304
Let w = 495 - 482. Let y = 105 - 98. What is the least common multiple of y and w?
91
Let t be (0 + 210)*21/42. Suppose -3*o = -t - 75. Calculate the lowest common multiple of o and 54.
540
Let u(d) = 4*d**2 - 19*d - 3. Let r be u(5). What is the common denominator of -115/6 and 584/(-30)*r/(-128)?
240
Let d = -362465/34 - -10663. What is the common denominator of d and ((-4)/(-90))/((-68)/3145)?
306
Let x be -3*(55 - 2) + -1. Find the common denominator of -145/18 and (82/185)/(x/(-200)).
666
Let g(u) = -3*u - 50. Let y be g(-16). Let l be -10*y/344*58. Let b = l - -1431/430. What is the common denominator of b and 79/2?
10
Let z = 32610 + -14087579/432. Find the common denominator of -53/32 and z.
864
Let m = -1332 - -1354. Let n be (-4)/10 + (-174)/(-10). Suppose n = -2*u + 57. What is the smallest common multiple of m and u?
220
Let q be 187/34 + (-1)/2. Suppose -k - 6 = -q*n, n - 5*k - 7 = -n. What is the lowest common multiple of 20*((-1)/n - -2) and 22?
220
Calculate the common denominator of 38/(-12)*(-90)/200 and 4233/204 - (8 + -1).
40
Let m be 213844/6 + (-25)/(-75). Suppose -4*t - 28513 = -a, 5*t + m = a - 0*a. Let b = t + 142647/20. What is the common denominator of b and 149/12?
60
Find the common denominator of 4 + 16263/(-6045) + 2/5 and -17/1767.
1767
Find the common denominator of 23/24 and (-12386)/48741 - (-18)/63.
5064
Suppose 0 = -5*x + 2*p + 19, -x + 6*p + 13 = p. Suppose 42 = 6*q - 4*q. What is the smallest common multiple of x and q?
21
Suppose -3*v = 4*a - 86 - 23, 0 = -a + 4*v + 32. What is the lowest common multiple