(0 - -1) + (-12645)/16560.
4048
Let r = 186 + -180. What is the lowest common multiple of r and 171?
342
Let d be -1 + -2 + (139 - 4). Suppose -2*c - 2*c + 112 = 3*x, 4*x + c - d = 0. Calculate the lowest common multiple of x and 36.
288
Let w(p) = -191*p**2 + 10*p - 19. Let a be w(8). Let y = 340643/28 + a. What is the common denominator of y and -99/10?
140
Let y(x) = 17*x**2 - x + 1. Let p be y(2). Suppose 1 = -2*m - 1, 3*c - p = m. Calculate the smallest common multiple of c and (-6 + 0)/(30/(-20)).
44
Let v = 52273/8 - 6544. Let g = -36/383 - -36077/13022. Calculate the common denominator of g and v.
136
Let l(d) = -d**2 + 5*d - 1. Let c be l(11). Let m = c + 85. What is the lowest common multiple of 16 and m?
144
What is the common denominator of (-3393)/406 + -2 + 2 and -3 + 4 + 17/42?
42
Suppose 4*l + 292 = 8*l. Let y = l + -13. What is the least common multiple of 16 and y?
240
Let z = -11 - -7. Calculate the common denominator of (-223)/21 + (10/(-35))/(-1) and (z + -29)/(9/2).
3
Let k be (2 - (4 - 6)) + -1597. Let a = k + 33497/21. What is the common denominator of a and -40/3?
21
Let l(g) be the first derivative of -9*g**2/2 - 30*g - 2. Calculate the least common multiple of l(-7) and 30.
330
Let c = -1928/11 + 26673/154. Let f = 5047/3180 + 10/159. Calculate the common denominator of c and f.
140
Find the common denominator of (-7155)/1260 + 4 + 3/1 and -13/40.
280
Let v(n) = -200*n - 11. Let i be v(10). Let c be i/(-3)*33/(-44). Let g = c - -496. Find the common denominator of 49/20 and g.
20
Let l(s) = s**3 - 4*s**2 + 4*s - 1. Let q be l(3). Let v be q/(-8) - 237/12. Let t = v - -34. Calculate the least common multiple of t and 2.
14
Let m = 133889873219/3330369 + 22/475767. Let h = -39392 + m. Let l = h + -818. What is the common denominator of 5/2 and l?
14
Suppose -3*j + 3*d = -114, 2*j + 3*d = d + 80. Let i = 7 - 2. Calculate the lowest common multiple of j and i.
195
What is the lowest common multiple of 2 and 36/(-4) - -19 - 3?
14
Suppose 48*j = 40*j + 256. What is the smallest common multiple of j and 22?
352
Let u = -28739 - -517429/18. Find the common denominator of -11/117 and u.
234
Let g(z) = 2*z**3 + 3*z - 2. What is the lowest common multiple of 15 and g(4)?
690
Suppose 4*h + 33 = 5*d, -2*d + 18 = -3*h - h. Suppose 4*m = d*f + 35, -12 = -2*m + 5*f + 3. Calculate the smallest common multiple of 26 and m.
130
Let m = 89 + -45. What is the common denominator of -13/10 and 408/10*11/m?
10
Let n = -9115303/10065780 + 1/55921. What is the common denominator of -13/180 and n?
180
Suppose 3*v + 1 = 22. Suppose 5*t + u = 24, -4*t + v*t - 16 = u. Suppose -t*j = -2*r - 94, -2*j = j - 4*r - 62. What is the smallest common multiple of 2 and j?
18
Let s(b) = 21*b - 22. What is the smallest common multiple of (-2 - 13)*(-12)/15 and s(2)?
60
Let j(n) = 617*n + 5. Let u be j(2). Let y = -2385/2 + u. Calculate the common denominator of 7/8 and y.
8
Suppose 6*i - 330 = -5*i. What is the lowest common multiple of i and 42?
210
Suppose 0 = -4*d - 4*j - 704, -805 = 5*d + j + 67. Let a = d - -196. Calculate the lowest common multiple of (-6)/15 - 64/(-10) and a.
66
Suppose -c - 1 = 3*u, c = -4*u - 5 + 3. Let v = -363 + 691/2. Find the common denominator of v and ((-39)/(-60))/(u/(-12)).
10
Suppose -y - 5*f + 39 = 0, 5*y - 13 = -4*f + 119. Calculate the lowest common multiple of y and 1.
24
What is the least common multiple of 184 and (1 - (-3)/12)*8?
920
Let p = 4871/4 - 63151/52. Let t = -1450 - -2823/2. Calculate the common denominator of t and p.
26
Let r = -202 + 415. What is the common denominator of (728/(-72) + 4)/((-4)/(-6)) and ((-2)/(-36))/(2/r)?
12
Let m = 446311/174 - 2565. Find the common denominator of m and 61/232.
696
Suppose -9*o = -42 - 3. What is the smallest common multiple of 112 and o?
560
Suppose 0 = 12*a - 15*a + 486. Calculate the lowest common multiple of 126 and a.
1134
Let v be 3 + -101 + -5 + 5. What is the lowest common multiple of 8 and 410/14 - (-28)/v?
232
Let n(o) = -2*o**3 - o**2 + 59*o + 358. Calculate the least common multiple of n(-6) and 18.
3600
Calculate the least common multiple of 2 and ((-14)/(-6))/(2/60).
70
Let u(i) = i**3 + 4*i**2 - 14*i - 9. Let r be u(-6). Calculate the common denominator of -79/36 and (-81)/24 + -2*r/6.
72
Suppose 3*t + 2*b - 3*b - 126 = 0, -t - b = -38. Let y be (6/18)/(2/126). Let x = t - y. What is the smallest common multiple of 8 and x?
40
Let a = -81 - -49. What is the common denominator of (-4)/(-144)*(-1716)/(-18) and 372/a*(-1 - -3)?
108
Let t = -19 - -16. Let i be (t - 0/(-1)) + 2. Let p = 5 - i. What is the lowest common multiple of 10 and p?
30
Let d(s) = 0 + 2 + 1 - 5*s + 7*s**2 - s**2 - s**3. Let o be d(5). What is the lowest common multiple of 4 and o + 1 - (-8)/4?
12
Let l = -5 + 10. Suppose -4*y = -16, 4*y - 2 = -l*f - 1. Calculate the least common multiple of 2 and (-2)/f + (-20)/(-6).
4
Let s be ((-3)/2)/((-18)/24). Let i = -40513/6 - -6736. What is the common denominator of s - 3 - 408/64 and i?
24
Let u(r) = 3*r + 38. Let c be u(0). Suppose -3 = 5*n - c. What is the lowest common multiple of 31 and n?
217
Let x(b) = -42*b - 918. Let h(n) = -2*n - 4. Let r be 1*(-3 + 2/(-1)). What is the least common multiple of h(r) and x(-22)?
6
Suppose -m - 18 = -6. Let z(p) = -2*p - 19. Let q be z(m). Suppose -4*y - 4*n = -24 - 4, -y + 13 = -q*n. What is the smallest common multiple of y and 4?
8
Let n be (45/2)/(2/3736). Let u = 161563319/3844 - n. Let s = 153771/42284 + u. Find the common denominator of 5/7 and s.
77
Suppose 3*a = -5*y + 4*a - 6, 22 = -3*y - 4*a. Let r = y - -8. Let j(v) = -2*v**3 + 36*v**2 - 3*v + 58. Calculate the lowest common multiple of r and j(18).
12
Calculate the common denominator of 29/78 and (1 - (-558)/81)/((-104)/(-4)).
234
Suppose 19*v = 712 + 428. What is the lowest common multiple of 105 and v?
420
What is the common denominator of 278/(-36) - (-7 + -2 + 6) and (-2)/9*(33 + -2)?
18
Let i = 1212 - 801. What is the common denominator of i/45 + (-2)/6 and -16/7?
35
Let l = -2 + -1. Let s be l*(-2 + 1) + 1. Suppose 9*c = s*c + 35. What is the smallest common multiple of 9 and c?
63
Let c = -3 + -14. Let w = c + 24. Suppose -4*p + 3*p + 17 = -4*h, 4*p - 2*h - 40 = 0. What is the least common multiple of p and w?
63
Suppose 0 = -3*k + 9*k - 18. Calculate the least common multiple of k and 5.
15
What is the lowest common multiple of 15 and (2 - 10 - -3)*-6?
30
Let m = -824 - -854. Calculate the least common multiple of m and 24.
120
Let d(l) = l - 35. Let n(t) = -2*t + 104. Let m(p) = -14*d(p) - 5*n(p). Calculate the least common multiple of m(-9) and 4.
12
Suppose -2*y + 38 = v, -3*y - 11 = 5*v - 61. Calculate the lowest common multiple of 28 and y.
140
Find the common denominator of (-1425)/(-152) + ((-10)/(-8))/5 and -109/72.
72
Suppose -10*x + 30 = -20. Calculate the least common multiple of x and 75.
75
Calculate the smallest common multiple of -2 - -6*((-49)/(-21) - -4) and 32.
288
Suppose 23*l = 91 + 185. Calculate the least common multiple of 30 and l.
60
Suppose -4*r - 4*o + 624 = 0, -735 - 36 = -5*r - 2*o. Calculate the least common multiple of r and 170.
1530
Let j(i) = -i**3 + 6*i**2 + 3*i - 13. Let o be j(6). Let s(f) = f + 9. Calculate the least common multiple of s(o) and 22.
154
Suppose 4*c = -2*h + 10, -2*h - c = -6*h + 20. Let y be (h/((-25)/(-145)))/(-46). Let r = y + 3/23. Calculate the common denominator of r and 27/22.
22
Let m = -12/113 + 12921/9944. Calculate the common denominator of m and -115/66.
264
Let v(u) = 13*u - 573. Calculate the smallest common multiple of 264 and v(45).
264
Let v(t) be the second derivative of t**4/6 - t**3 - 9*t**2 - 6*t. What is the lowest common multiple of v(6) and 15?
90
Let l = 6239 - 187031/30. Let u = -80676884233/25812060 + 5/1290603. Let b = u - -3131. Find the common denominator of l and b.
60
Let w be (-147)/(-10)*5/120. Let u = 3/10 - w. Let o = 429 - 5129/12. What is the common denominator of o and u?
48
Let s be 0/2 + 4 + (-60 - 1). Find the common denominator of (-2 + s/6)*5/(-9) and -99/8.
72
Let m be (-783)/(-153) + 4/(-34). What is the common denominator of 2/m - (-13083)/630 and 35/34?
102
Suppose 0 = -o - 5*c + 26, 2*o - 5*c = -7*c + 12. What is the lowest com