and -7/3.
12
Suppose -4*i = -2*f - 106, -4*f - 2*i - 227 = -5*i. Let a = 78 + f. Suppose -g = -r + a, 3*r = 2*g - 4*g + 72. What is the least common multiple of 22 and r?
22
Let q(g) = -20*g + 69 - 34*g - 7*g + 16*g**2 - 6*g - g**3 + 23*g**2. What is the least common multiple of 10 and q(37)?
1640
What is the common denominator of -92/15 and (120/8550)/(10/325)?
285
Let n(s) = -s**3 + 15*s**2 - 6*s - 44. What is the lowest common multiple of n(4) and 180?
540
Suppose -63*c + 61*c - 24 = 0. Let b be (2/(-3))/(8/c). Calculate the least common multiple of 33 and (20/4 + 3)/b + 0.
264
Let k = -3449/118734 - -29/462. Let m = -4908/1799 - k. Calculate the common denominator of 2 + -10 + 106/12 and m.
42
Let p = -289 - -453. What is the smallest common multiple of p and 41?
164
Let p be (-1 + 1)/(-1) + 21 + -23. Calculate the common denominator of p/(-6) + 952/(-51) and 1 - (0 - 1/27).
27
Suppose -3*l + 5*a + 242 + 1430 = 0, -2*l + 1116 = -3*a. Let q be (-2 - l/(-30))/(3/(-20)). Let z = -64 - q. Calculate the least common multiple of 20 and z.
240
Let m = 251 + -252. What is the common denominator of -163/60 and (-2)/(-2)*m*(-854)/(-168)?
60
Let x(a) = -9*a - 32. Let u(h) = -h**2 + h + 6. Let f be u(4). Let g be x(f). Calculate the common denominator of -85/42 and (-1 - g/(-54))*45/30.
126
Suppose h + 0*h = -2*p + 3, -2*h + 11 = -p. Calculate the common denominator of 93/32 and (h/14)/((-756)/(-1078)).
864
Let y = 4130 + -396439/96. Calculate the common denominator of y and 91/24.
96
Let r be ((-12)/(-8))/((-12)/(-16)). Suppose r*u + 10 = 0, 4*x + 6*u - u + 13 = 0. Let w = -3 + 9. Calculate the least common multiple of w and x.
6
Let g(p) = p**2 - 10*p - 71. Suppose 5*k - 2*a + 15 = 0, -4*k + 3*a = -8*k - 35. Calculate the lowest common multiple of g(k) and 10.
20
Let q = 10084 + -9336. What is the lowest common multiple of q and 440?
7480
What is the common denominator of -1 - (-6 + ((-73766)/(-5643) - 8)) and -25/1881?
5643
Suppose t = 2*t - 14. Let b = 713 - 731. Calculate the least common multiple of t and (-140)/(-15)*b/(-4).
42
Let v(p) = -p**3 - 5*p**2 + 6*p - 2. Let k be v(-6). Calculate the common denominator of (-2418)/648 + (-1)/k*6 and 8/33.
1188
Let u be 3 + 388 + 10 + -5. Calculate the common denominator of (-26)/(-3)*(-45)/u and 79/258.
2838
Suppose 80 = 3*j + 5*d, 2*d = -2*j + 4*d + 64. Let q = -35 - -61. Suppose 6*p - q = 64. What is the lowest common multiple of p and j?
30
Let o be 130/616 + (-1)/7. Let h = 2009/220 + o. Calculate the common denominator of h and -16/19.
95
Let c = -492 - -525. What is the smallest common multiple of 286 and c?
858
Let s = -3035/632 - -14/79. Find the common denominator of s and -5/452.
904
Let t = 888978 - 28506281/32. Let y = t - -1842. What is the common denominator of -109/44 and y?
352
Find the common denominator of -1/420 and 636/2016*(-15)/(75/10).
420
Let l = -47 - -3. Find the common denominator of 125/238 and ((-17)/476)/((-2)/l).
238
Let x(l) = 91*l + 3049. What is the lowest common multiple of 21 and x(-28)?
3507
What is the common denominator of ((-17568)/(-3168))/(9/(2 - -1)) and -89/1104?
12144
Let j be 30/5454*13/10*4. Let i = -15304/481 + 38116135/1165944. Let g = i + j. Calculate the common denominator of g and 85/22.
792
Let n(r) = 4*r**2 + 76*r - 1968. Calculate the smallest common multiple of 12 and n(37).
18960
Suppose 9*o = 6*o + 72. Let w = 43 + -21. Calculate the lowest common multiple of 201/o + (-9)/24 and w.
88
Suppose 8*s - 112 = -16. Suppose -s - 23 = -z. Calculate the least common multiple of 49 and z.
245
Let s(g) = 25 - 16 + 26 + 9*g + 1. Let p be 3/(3*4) - (-5)/(-20). Calculate the least common multiple of 15 and s(p).
180
Let k be (2 + -4 + -1)/(54/36). Let q be 44/16 + k/(-8). Suppose q*m = -0*m + 6. Calculate the smallest common multiple of m and 6.
6
Let q = 10764 + 707. Let x = -344309/30 + q. What is the common denominator of 55/16 and x?
240
Let r(x) = -6*x**3 + 212*x**2 + 862*x - 18. What is the smallest common multiple of r(-4) and 4/((-6)/(-5) - 1)?
620
Let g(m) = -16*m**2 + 112*m + 6. Suppose y + 2*y = 24. Suppose 0 = -3*d + c + 22, -d = -c + 2 - y. What is the least common multiple of g(7) and d?
24
Let k be (-29 + -4 + 1)/((-3)/18). Let j = 202 - k. Calculate the lowest common multiple of j and 82.
410
Let f = 37831/3 + -529777/42. What is the common denominator of 3/728 and f?
2184
Let l = -38 - -68. Let z = 233 + -194. Suppose 0 = -4*s + 5*w + 133, -2*s + z = -w + 4*w. Calculate the smallest common multiple of s and l.
270
Let t be 2685/(-20) - 6/8. Let a be 3/(-3 + t/(-40)). Suppose -a = -2*g, -w - 2 = -5*g + 8. What is the smallest common multiple of w and 2?
10
Let i = -46/1099 + -3449/26376. What is the common denominator of 29/9 and i?
504
Let h(m) = m**3 - 18*m**2 - 18*m - 4. Let d(i) = 2*i**3 - 19*i**2 - 19*i - 4. Let z(f) = 3*d(f) - 4*h(f). What is the least common multiple of z(-6) and 40?
440
Find the common denominator of (30/496)/(7*48/56) and 7/310.
2480
Suppose 0 = 3*s - 4*f - 63, 0 = -3*f + 4*f. Suppose 75*w + 1078 = 243*w - 2450. What is the lowest common multiple of w and s?
21
Suppose 0 = 19*g - 24*g - 15. Find the common denominator of ((-65)/30)/(100/(-36)*1) and 3 - (g - 19/6).
150
Suppose 3*w = -4*w - 14. Calculate the common denominator of 7/48 and -4 + 1/((-72)/969*w).
48
Let h = 203 + -202. Let u be 1 + -4 + (-2 - -10). Suppose -y + 2*j = 1, u = -y - 0*j + 4*j. What is the lowest common multiple of h and y?
3
Find the common denominator of 7 - (-8)/(-460)*(-59605)/(-156) and -17/79.
10902
Let v be 1625/75 - (-6)/(-9). Find the common denominator of 79/94 and 274/24 - 7/v.
564
Let i(b) = 59*b + 31. Let x be i(8). Suppose 0 = -t + 3*c + 259, 2*t - 6*c - x = -3*c. What is the lowest common multiple of t and 2?
244
Let f be (-246)/(-7) - 6/42. Let q = 39 - f. Suppose l + l + 8 = -q*v, 0 = -4*v + 3*l - 28. Calculate the common denominator of v and -33/8.
8
Let c = -4 - -28. Suppose -7*o + 5*o = -c. Let r(l) = -l**3 + 12*l**2 + 5*l - 8. What is the least common multiple of r(o) and 20?
260
Let u = 500 + -229. Let q = u + -241. What is the least common multiple of q and 40?
120
Find the common denominator of (-26)/4 + 4/(-12) and 97/7192.
21576
Suppose -2*k + 26 = 2*m, -k + 5*m = -2*k + 29. Suppose k = 3*o - 0. Calculate the common denominator of o/1 - (4 - 250/56) and -85/8.
56
Let b be ((-21)/4)/(81/24)*-9. Calculate the lowest common multiple of (2 - (3 - 7)) + b and 42.
420
Let d = -66226 + 150796612/2277. Find the common denominator of d and 93/1012.
9108
Suppose 205*a - q = 203*a + 1009, -2*a - q = -1007. What is the smallest common multiple of a and 336?
1008
Calculate the lowest common multiple of (0 - 15)*(2 + -6)/20 and 25.
75
Let n = 95 - 93. Suppose -3*j = i - 96, -n*j = i - 16 - 75. Let s = 83 - i. Calculate the lowest common multiple of 10 and s.
10
Suppose 0 = 3*i - 3, -5*m - 2*i + 79 = -213. Suppose -m*g - 24 = -62*g. Suppose -4*l = -54 - 6. Calculate the smallest common multiple of g and l.
30
Let m = 11683 - 26028. Let j = 516347/36 + m. What is the common denominator of j and 39/32?
288
Let w = -134 - -148. Let m be (-4 - 5 - -3)*1. What is the smallest common multiple of w and m - -2 - (1 + -23)?
126
Let n = 3803/7030 + -66/185. What is the common denominator of -65/448 and n?
8512
Let d = -24/17867 - 53797441/71468. Let s = -766 - d. Find the common denominator of s and 41/6.
12
Let w = -5760953054189/2739 - -2103305216. Let q = -1/913 - w. What is the common denominator of 89/14 and q?
42
What is the least common multiple of (150/21)/(-5)*(-5145)/210 and 3120?
21840
Let y(v) = v**3 + 5*v**2 - 6*v + 8. Suppose -25*i + 5624 + 3563 = 137. What is the least common multiple of y(-6) and i?
1448
Let l = -22825/6 + 3820. Calculate the common denominator of l and (-95)/(-6)*18/(-140).
84
Let j = -191916 + 29937929/156. Let w = j + 34/13. Calculate the common denominator of 73/90 and w.
180
Let w = -1737609/209 - -8314. What is the common denominator of 58/33 and w?
627
Let k(u) = 6*u - 14. Suppose j - 50 = -d, 4*d - 3*d = 4*j + 40. Let o be 8/d + 69/18. Calculate the least common multiple of k(o) and 30.
30
Let f be (906/(-15))/(-2) + 5/(-25). Calculate the smallest common multiple of 22 and -1*(0 + -1)*(f + -29).
