7, -4*m = 2*q - 40. Let f(r) = r - 9. Let z be f(m). Suppose -2*v + 12 = -z*v. What is the smallest common multiple of 3 and v?
6
Let s = -55/16 - -205/176. Find the common denominator of s and -7/38.
418
Calculate the common denominator of -7 + (-13)/((-1053)/42) - (-1 - 4) and (-22)/8*(-14)/(-15).
270
Let j = -3/1492 - -106687/4476. Calculate the common denominator of j and 93/28.
84
Suppose -2*f - 7 = -4*n + 23, 5*f = 4*n - 57. Let b(u) = -u**3 - 8*u**2 + 8*u - 4. Let t = -1703 + 1712. What is the least common multiple of b(f) and t?
45
Let m(s) = -s**2 + s + 1. Let u be m(-2). Let j(d) = 6*d**2 - 4*d - 2. Calculate the lowest common multiple of j(-1) and 78/8 - u/20.
40
Find the common denominator of -109/24 and 1 + 0 + 2500/(-1050).
168
Calculate the common denominator of -71/50 and 1 + -259*(-3)/(-306).
2550
Suppose -70 = 4*n - 58, 3*n - 27 = -2*o. What is the lowest common multiple of o and 48?
144
Suppose 132*b = 129*b + 15. What is the smallest common multiple of 16 and 22*(b - (3 + 0))?
176
Let r be 2/(((-80)/(-75))/8). Calculate the common denominator of 5/2 and (-42)/80 - (-6)/r.
8
Let o be (38/(-4))/(5/(-190)). Let r = o + -245. Calculate the common denominator of 11/16 and -1 + 2 - r/(-32).
16
Let b = -93 - -117. What is the least common multiple of b and 54?
216
Let x(i) = -5*i**3 + i**2 - 1. Let m(y) = 15*y**2 - y. Let h be m(-1). Let r = h + -17. What is the lowest common multiple of 2 and x(r)?
10
Let g = 41023/12 - 3426. What is the common denominator of ((1120/(-24))/(-28))/(16/90) and g?
24
Let v be ((-2)/(-4))/((-129)/(-336)). Let s = -442/387 - v. What is the common denominator of -91/30 and s?
90
Suppose 0*d = d - 12. Let g = 7 - -1. What is the least common multiple of g and d?
24
Suppose 2069 = -3*f - 5428. Let v = f + 15095/6. Find the common denominator of 6/(-9)*1*7722/(-312) and v.
6
What is the common denominator of 125/24 and ((-298)/32)/(-9 + (-390)/(-40))?
24
Let m = 1059 + -754. Calculate the lowest common multiple of 5 and m.
305
Find the common denominator of -4/153 and 708/357 + -2 + 0.
1071
Let s(c) = -c + 14. What is the smallest common multiple of s(12) and 8?
8
Let n = 85 + -119. Calculate the common denominator of -5 and (n/(-14) + -2)/((-45)/(-240)).
7
Let a = -2211 + 13309/6. Let x = 5483 + -98635/18. What is the common denominator of a and x?
18
What is the common denominator of 167/(-2)*(-11 - -12)/15 and 16/(-3) - (-4)/8?
30
Let m be 4*6*30/(-16). Calculate the common denominator of m/(-55)*2/(-3) and (69/5)/(24/(-15)).
88
Let w = -53 - -65. Suppose -4 - w = -2*c. Calculate the least common multiple of c and 18.
72
Let r = 8 - 59. Let g(o) = o**2 + 5*o + 1. What is the least common multiple of g(-6) and (-3 - r/6)*2?
77
Let o be (-4)/10 + (-202)/(-5). What is the common denominator of (-10108)/1120 - (-2)/16 and 1 + (-4)/(o/93)?
10
Let a = -1296 + 692. Let p be (190 - 10)/2 + -10. Calculate the common denominator of (-8)/(-2) + a/p and 103/6.
60
Let d be 2/(-8) + (-374)/360. Let q = 25386 - 761657/30. Let m = d - q. Find the common denominator of m and -101/14.
126
Let j be (0 - -1) + (-40)/8. Let t(g) = -25*g - 2. Let o be t(j). What is the common denominator of -39/16 and 1/(-22)*(-1 + o)?
176
Let w(s) = -26*s - 166. What is the lowest common multiple of 8 and w(-20)?
1416
Let x be -21972*(51/6 - 3). Let y be x/(-4984) - (2 + -1). Let u = 2/623 + y. What is the common denominator of u and -71/2?
4
Let p(f) = 3*f**2 - 63*f + 438. Calculate the smallest common multiple of 98 and p(8).
882
Suppose -26 = 2*g - 38. Calculate the lowest common multiple of 22 and g.
66
Let k = -149291 - -44488761/298. Find the common denominator of 19/18 and k.
2682
Let y be ((-27)/456)/(1/(-4)). Let l = -793/342 - y. What is the common denominator of -41/10 and l?
90
Let l = -1/2102 + -69884/15765. Calculate the common denominator of 67/324 and l.
1620
Suppose -75 = -5*p - 4*j, 32 = -254*p + 256*p + 2*j. What is the lowest common multiple of p and 77?
77
Let w = 21402891/40 - 535043. Let o = 107/5 - w. What is the common denominator of o and (111/5)/(28/(-10))?
56
Let i be (5/(-10))/((-1)/26). Calculate the common denominator of (1/26)/(i/949) and 1.
26
Let g = -214 - -244. Calculate the least common multiple of 15 and g.
30
What is the smallest common multiple of (-12)/(-10)*455/39 and 128?
896
Let r = 3928456425827/361200 + -271903234/25. Let b = r + 1/14448. What is the common denominator of -99/8 and b?
40
Let f = -255 - -566. Let g = f + -3426/11. Let q = -48 + 479/10. What is the common denominator of q and g?
110
Let m(i) = i**3 + 27*i**2 - 93*i - 42. What is the smallest common multiple of 84 and m(-30)?
336
Let t = 64919/264 + -1959/8. What is the common denominator of t and -58/9?
99
Let t(a) = 2 - 3*a - a + 5*a. Let g be t(-4). Let z(j) = -2*j**3 - 3*j**2 - j + 1. What is the least common multiple of z(g) and 6?
42
Suppose 3*u - 42*u + 160797 = 0. Calculate the least common multiple of u and 11.
45353
Suppose y + 110 = 6*y. Suppose 7*b - y = 20. Calculate the lowest common multiple of b and 12.
12
Let s(c) = -c + 2. Let w = 19 - 3. What is the least common multiple of s(0) and w?
16
What is the least common multiple of (-61 + (-1 - -2))*(-1)/3 and 16?
80
Suppose -3*c = 3*s - 12, 3*c + 4*s + 0*s = 14. Let b be 36/(-56760)*(-73275)/c. Let r = b + 6/473. Find the common denominator of -43/7 and r.
28
Let k(t) = t**3 - 2*t**2 - 3*t + 11. Calculate the lowest common multiple of 77 and k(0).
77
Let f = 10822/5 + -2154. Find the common denominator of 22/5 and f.
5
Find the common denominator of 3/(-5) - 46578/(-68880) and 11/20.
1640
Let s(v) = -2*v - 11. Let t be s(-8). Let a = 3 + t. Calculate the lowest common multiple of a and -1 - 1 - (2 + -9 - -1).
8
What is the common denominator of 2265/36*50/(-2625) and -79/126?
126
Suppose -436 = 12*o - 6532. Calculate the least common multiple of 4 and o.
508
Let j = 626 - 616. Calculate the lowest common multiple of j and 54.
270
Suppose 3*y - 806 + 446 = 0. What is the smallest common multiple of 88 and y?
1320
Let z = 376/7 - 21377/420. Calculate the common denominator of 85/108 and z.
540
Suppose -5*t + t = 0. Suppose -5*n + t*n = -2*a + 15, -2*n = a - 12. Suppose 6*j - 12*j = -132. Calculate the smallest common multiple of j and a.
110
Suppose 8*m = m + 686. Let c = m - 86. What is the smallest common multiple of 16 and c?
48
Let d be (20/15)/((-4)/18). Let s = -3 - d. What is the smallest common multiple of s and 6?
6
Let k be (-5)/(44700/(-42365)) - 2. Let l = k - 48/149. Calculate the common denominator of l and 45/2.
12
What is the common denominator of -43/8 and (0 - 1)/((-46)/(-32))?
184
Let t be (-2)/7 + (-5)/(175/(-640)). Suppose -k - t = -2*c, -4*k = -c + k + 18. What is the least common multiple of (-34)/(-4) - 1/(-2) and c?
72
Suppose -29*w = -24*w - 110. What is the least common multiple of 6 and w?
66
Suppose -7 - 18 = -5*b. Suppose 0 = -0*j + b*j - 50. Let x(n) = n - 5. What is the least common multiple of x(7) and j?
10
Let n(l) = -l**3 - 6*l**2 - l - 4. Let y be n(-6). Let w(k) = 3*k**3 - k. Let m be w(y). Let b = 38 - m. What is the lowest common multiple of 10 and b?
80
Let a = 54631815/2846 + -19196. Let s = -133753/25614 + a. Find the common denominator of s and 47/3.
9
Let j(w) be the first derivative of 3*w**3 - w**2/2 - 5*w - 15. What is the smallest common multiple of 33 and j(-2)?
33
Let a be (-3)/((45/(-57))/5). Suppose -4*t - 21 = a. Calculate the smallest common multiple of 18 and 3/(-1) - (t - 3).
90
Suppose -5 = -2*c + 5. Suppose -w - c = -2*w. Suppose 3*v = w*v - 4. Calculate the lowest common multiple of 4 and v.
4
Let w(p) = p**2 + 3*p - 1. Let o be (-5)/(-35) + (-22)/7. Let j be (1 + o)/((-4)/(-10)). Calculate the smallest common multiple of w(j) and 7.
63
Let x be ((-1)/(-399))/(506/1082037). Let g = -1/437 + x. Calculate the common denominator of g and 29/2.
14
Let y(k) = 3*k + 27. Calculate the smallest common multiple of y(-5) and 156.
156
Suppose -8*d + 219 - 3 = 0. Calculate the smallest common multiple of 63 and d.
189
Suppose 7*j - j = -228. Let z = -54 - j. Calculate the common denominator of 18/5 and (-1)/1 + z/14.
35
Let d(y) = -5*y**3 - 8*y**2 - 5*y - 4. Let n be d(-2). Suppose -2*j - o + 5*o + n = 0, 5 = -j - 2*o