is the lowest common multiple of c and 12 + (-2 - (-3 + 1))?
84
Suppose -t = -4 - 6. Suppose 0 = -3*p - 1 + 43. Let u = p + -4. What is the lowest common multiple of u and t?
10
Suppose 14*q - 11*q - 615 = -2*c, 233 = q - 4*c. What is the least common multiple of q and 551?
6061
Suppose 2*f = -6*f + 40. Let b = -8913/13 + 685. Calculate the common denominator of (-70)/(-25) - (-2)/f and b.
65
Let k = -3340/23 + 146. Let m = k - -1673/184. Let x = 1093 + -10943/10. Calculate the common denominator of x and m.
40
Let q(k) = -k**3 - 5*k**2 - 3*k - 7. Let p be q(-5). Let b = 27 + -35. Calculate the lowest common multiple of (-6)/b - (-10)/p and 4.
4
Let q be 72/(-104)*-1*5812316/132. Let o = 30484 - q. Calculate the common denominator of 42/65 and o.
715
Let u(o) = -3*o**2 - 21*o + 98. Let z be u(8). What is the common denominator of (-393)/z + (-2)/(352/281) and 43/48?
528
Suppose -35112 = -34*b - 3*b - 96*b. What is the least common multiple of b and 288?
3168
Let h = 1722 - 747339/434. Calculate the common denominator of h and -11/372.
2604
Let r = 4542 + -3934. What is the smallest common multiple of 64 and r?
1216
Let d(p) = -7*p - 56. Let r(f) = 4*f + 27. Let o be r(-14). Let w = o - -59. What is the lowest common multiple of w and d(-10)?
210
Suppose 3*t + 4 = 5*t, 0 = -5*r - 5*t + 135. Calculate the least common multiple of 4/(48/(-45))*(0 + -12) and r.
225
Let l = -282 - -287. Suppose -5*t + 21 + 11 = 2*y, 5*y = -l*t + 80. Calculate the lowest common multiple of y and 12.
48
Let c = 111 - 25. Suppose 2*o + c = -3*n + 5*n, 3*o = -3*n + 105. Calculate the smallest common multiple of n and ((-492)/20 - -24)*-45.
351
Suppose -160*t + 156*t = -2784. Calculate the lowest common multiple of 66 and t.
7656
Let i be -8*(6 + ((-21015)/(-100))/1). Let m = i - -181931/105. Calculate the common denominator of m and 79/51.
357
Let d = 37997/2412 - 2/603. Let n = 113/8 + 1483/8. Let i = 211 - n. What is the common denominator of d and i?
4
Find the common denominator of -71/24 and (-2)/(-4) + 18995/(-34800).
240
Let c = -1646/3 - -561. Calculate the common denominator of (668/12 - (-7)/1)/4 and c.
3
Let m be ((-4)/(-18))/(428/(-6)). Let p = m - -571/107. What is the common denominator of p and (104/(-1430))/(3/(-25))?
33
Let y = 445899/12926 - 2471070582/78131207. Let h = y + -6/1099. Find the common denominator of h and 61/48.
528
Let n be 11/(-110) + (-12469)/110. Let d = 33839/297 + n. Find the common denominator of 95/144 and d.
432
Let d = -745 + 4447/6. Suppose -2*j - 8 = 4*t, -5*t = 5*j - 0*j. Find the common denominator of d and 189/12 + (t - -2)/(-2).
12
Let z = -65894 - -27016451/410. Find the common denominator of z and -1/369.
3690
Let w(o) = -o**2 - 7*o - 15. Let q be w(-3). Calculate the common denominator of 11/(-8) + -1 + -1 and -3 + q/3 + (-318)/(-20).
40
Let v = 8847 - 7504. Calculate the lowest common multiple of v and 187.
14773
Suppose -244 = -8*u - 276. Find the common denominator of (-600)/63*6/(-8) and u*(7 + -6) - (-162)/(-4).
14
Let l = -4471199/16 - -279803. Let n = l + -354. Calculate the common denominator of -1/28 and n.
112
Suppose -10*n = 3*s - 7*n + 138, -2*s = n + 96. Let y = 6 + s. Find the common denominator of y and 111/119 - (-2)/(-7).
17
Let w = 6324 - 2974. Find the common denominator of 17/30 and (-15611)/w + (2 - -5).
150
Let z = 1409/4 - 15633/44. What is the common denominator of z and (9/(-2))/((-1011)/(-33))?
7414
Suppose -4042 = 2*p - 0*x + 2*x, 0 = -5*p + 2*x - 10119. Let f = 3577395/44 - 101162821/1276. Let n = f + p. Calculate the common denominator of n and 21/22.
638
Let x(v) = 47*v - 901. Let z = -8 - -11. Calculate the smallest common multiple of z and x(20).
39
Let o = -219649/18770 + 4/1877. Calculate the common denominator of o and -85/1294.
6470
Suppose k - 5*y = 174, 246*y + 306 = 2*k + 243*y. Calculate the least common multiple of k and 448.
4032
Suppose 62*o - 61*o = 81. Let f = o - 74. What is the least common multiple of 77 and f?
77
Let l = 239 - 276. Let t = -33 - l. What is the smallest common multiple of t and 76?
76
What is the smallest common multiple of 64 and (-160)/(-60) - (0 + 208/(-3))?
576
Let o(r) = 10*r**3 - 2*r**2 - 8*r + 9. Calculate the least common multiple of o(1) and 659.
5931
Find the common denominator of 15/(-9) - (-1931277)/1131102 and -11/382.
2674
Let a(z) = -5*z**3 + 41*z**2 + z - 61. What is the least common multiple of 6849 and a(8)?
75339
Let g = 85409/660 + -1921/15. Calculate the common denominator of g and -3 - (99/6)/(324/(-66)).
396
Suppose 0 = 3*t - 11*t + 64. What is the lowest common multiple of (12/t)/((-3)/(-34)) and 1?
17
Let s = -522049/25 - -20881. Calculate the common denominator of (-6)/(-27)*(-618)/8 and s.
150
Suppose 4*t - 4*y = 8372, 13*t - 9*t + 3*y - 8393 = 0. What is the least common multiple of t and 5764?
23056
Let j = -19393/8 + 2420. What is the common denominator of j and -40/53?
424
Let u(d) = 2*d - 4. Suppose 0 = 3*t - 5*o + 19 - 8, 4 = 4*t - 2*o. Suppose 20 = -3*j - 2*j, 0 = p + t*j + 6. What is the least common multiple of p and u(5)?
6
Let p = -25017978 + 1450478527/58. Suppose -14*l + 139757 = 3579. Let n = p + l. Find the common denominator of n and -43/20.
580
Suppose 0 = -5*w - 15, -4*w + 24 = m + m. Let t(l) = l**2 + 49*l + 72. Calculate the lowest common multiple of m and t(-48).
72
Let v(u) = 5*u + 153. Let y be v(-14). Let x = 103 - y. What is the least common multiple of 112 and x?
560
Let r = 16040 - 192355/12. Calculate the common denominator of 56/2391 and r.
9564
Let g = 16970 - 16886. Calculate the lowest common multiple of 690 and g.
9660
Let n(r) be the first derivative of r**3/3 - 5*r**2 - 15*r + 16. Suppose -3*l + 183 = 171. What is the smallest common multiple of n(13) and l?
24
Calculate the common denominator of 101/252 and 7272/(-648)*2/(-4).
252
Let w = 149161/7 + -60834119/2856. Let m = w + -13/102. Find the common denominator of m and 23/180.
360
Suppose d + 3*z - 10 = 0, -2*z + 0*z = -5*d + 16. Let c = 60 - 8. Calculate the smallest common multiple of c and d.
52
Let n = 67107 - 8858165/132. What is the common denominator of (87/(-30))/((-1)/((-9)/(-6))) and n?
660
Let i be (911/34)/(180596/(-6046)). Let u = i + -2/45149. Find the common denominator of (7/6 - 1)*(50 + 1515/30) and u.
68
Suppose 7*z = 5*z + 12. Suppose -2*r - 8 = -z*r, -18 = -2*m - r. What is the lowest common multiple of 1 and m?
8
Let k = 191261/367330 + -190/337. Calculate the common denominator of k and 81/10.
1090
Let c be 28/6 - 2/9*3. Let p = 8 + -1. What is the least common multiple of p and 20/(4*c/8) + -1?
63
Let m(y) = y + 5. Let a be m(0). Suppose a*c = 4*c + 2, 0 = -2*b - 5*c + 28. What is the lowest common multiple of b and (-39)/(-42) + 181/2534?
9
Let v = 14234 - 28575. Let h = 7675 + v. Let t = h - -239845/36. Find the common denominator of -71/20 and t.
180
Let n(p) be the second derivative of p**5/20 - p**4/4 - p**3 + p**2 - 21*p. Let o be n(4). Find the common denominator of ((-73 - -3) + 1)/(45/o) and 49/8.
40
Let p = 10 + 188. Suppose -c - 2*b + 0*b = -14, 5*b = -c + 29. What is the least common multiple of (p/(-21))/(2/(-14)) and c?
132
Let v(l) = -l**3 - 45*l**2 + 421*l + 45. What is the least common multiple of 12 and v(-53)?
204
Let o = 4430 - 4426. Let a(q) = 12*q + 7. Let k(y) = 6*y + 4. Let t(l) = -3*a(l) + 5*k(l). What is the smallest common multiple of o and t(-1)?
20
Let k = 242479/22908 - 3/1909. Let a = -279 - -279. Find the common denominator of (a - 1) + (-7965)/(-810) and k.
12
Let c = 1017 + -1019. What is the common denominator of -121/12 and c/((3024/1359)/(-2))?
84
Suppose 4*b + 5*i - 79 = 0, 3*b + 2*i - 3 - 58 = 0. Calculate the smallest common multiple of (7 + (-320)/96)/(11/6) and b.
42
Let w = -19621/8 - -2456. Let y = -2770 - -19350/7. Calculate the common denominator of w and y.
56
Suppose 20*c + 1018 = 3025 + 1633. What is the lowest common multiple of 10 and c?
910
Let c(p) = p**3 + 17*p**2 - 19*p - 24. Let f be c(-18). Let s(b) = -3*b**2 - 17*b + 10. Calculate the lowest common multiple of 16 and s(f).
16
Suppose 124*q - 132*q = -1536. What is the lowest common multiple of q and 12?
192
Let d be ((-45)/(-30))/((-12)/80). What is the common denominator of 49/d - (17 - 23) and -12/7?
70
