11 + (-1690)/(-143).
24
Suppose -8*i + 22 = -330. Let j = -20 + i. What is the least common multiple of 33 and j?
264
Let s = 5602/7 - 268441/336. What is the common denominator of s and -21/10?
240
Let x = -1080 + 1157. Calculate the smallest common multiple of 56 and x.
616
Find the common denominator of -25/39 and -318*6/96*(-2)/(-81).
1404
Let g = 62 + -87. Calculate the lowest common multiple of 10 and (-1)/2 - g/2.
60
Let n(m) = -35*m + 42. Let d be n(12). Let f = 2076/101 - -286695/808. Let z = d + f. Calculate the common denominator of z and 17/22.
88
Calculate the smallest common multiple of 5/(5/6)*(-80)/(-15) and 16.
32
Let f(z) = z**2 - 4*z + 3. Let y be f(4). Suppose 11 = 4*o - 3*o - y*q, 2*o - 5*q = 18. Calculate the least common multiple of o/5 - (-246)/30 and 24.
24
Find the common denominator of ((-984)/320)/(2/(-4)) and 5/24.
120
Suppose -2*c - 3*c = -10. Let a(o) = -o - 4. Let m be a(-9). Suppose -f = -4 - m. Calculate the smallest common multiple of f and c.
18
Suppose 0 = -4*h - 4*n - 592, 5*h + 0*n - 5*n = -720. Let g = h - -147. What is the smallest common multiple of 11 and g?
11
Let y = 130/24591 - 47183566/12713547. Let h = y - 1/47. What is the common denominator of h and (-4)/(-16) - 117/84?
77
Suppose 0 = 5*u - 2*s + 6*s - 74, 12 = -3*s. What is the common denominator of u/(-28)*(-5)/2 and -65/8?
56
Let v = 21314688/11 - 1935365. Let u = v + -2336. What is the common denominator of u and 11/2?
22
Calculate the lowest common multiple of 176/24 + (-3)/9 and 5.
35
Let p(d) = d**3 - 17*d**2 + 18*d - 31. Let k be p(16). Find the common denominator of k*(-3)/(-10)*1067/(-33) and -25/18.
90
What is the common denominator of 55/32 and (-9)/4824*5939 - -11?
2144
Suppose 0 = 2*a - 8*s + 10*s - 24, -2*a + 5*s + 10 = 0. What is the smallest common multiple of a and 570?
570
Let u = -12 - -22. Let a be (-5)/u - (-13)/2. Calculate the smallest common multiple of 20 and (-2 - 2)/(a/(-15)).
20
Suppose 2*d = -3*m - 1, 0 = 3*m - d - 0*d - 5. Suppose m = 3*f - 5. Calculate the least common multiple of f and 10.
10
What is the common denominator of (-2)/6 - 31/(-30) and -3 + (-5385)/(-1122) - 6/51?
110
Let a = -295 - -409. Calculate the least common multiple of a and 27.
1026
Suppose 90 + 801 = 9*o. Suppose -2*t + 120 = 3*w, o = 3*w - 5*t - 0*t. Calculate the lowest common multiple of w and 10.
190
Let d be -6*(-8)/20*(-957)/(-2). Let t = 1158 - d. Find the common denominator of t and 2/(-6) + (-265)/6.
10
Let c(m) = m**2 + 79*m + 374. Calculate the lowest common multiple of c(-74) and 60.
60
Suppose -c = 2*c + 42. Let x = 36 + c. Suppose x = l + l. What is the least common multiple of 7 and l?
77
Let a = 188066953/19 - 1530679353233/154641. Let u be (8 + 195309/(-24417))/3. Let v = a + u. Calculate the common denominator of 73/10 and v.
30
Calculate the common denominator of 87/224 and (-14)/21 - (-3)/(-36)*-263.
224
Suppose 2*o + 5*z = 2*z + 9, 3*o - 2*z - 33 = 0. Let m(s) = -s**2 - 35*s - 72. What is the least common multiple of o and m(-32)?
72
Let z be (14/(-4380))/(4 - (-102606)/(-25655)). Let o = -7/292 - z. Find the common denominator of o and -43/94.
282
Let d be 3 + 55239/30 + 2. Let g = d - 1852. What is the common denominator of (-603)/(-60) + (-12)/3 and g?
20
Suppose -10 = -7*l + 2*l. Let x(w) = -w**2 - 2*w + 3. Let b be x(l). Let d(z) = z**3 + 6*z**2 + 6*z + 7. Calculate the smallest common multiple of 10 and d(b).
10
Suppose -3*u - l - 11235 = u, -12 = 4*l. Let p = 754439/12 - 240215/4. Let o = u + p. What is the common denominator of o and -1/9?
18
Calculate the common denominator of -91/6 and (-646)/60 + (-56)/(-84).
30
Let c be 1/(1*3/15). Suppose 35 = 5*z - 3*p, 2*z - 6*z = c*p + 9. Suppose 0 = -4*r + z + 4. What is the smallest common multiple of 4 and r?
4
Let k be 4 + (4 - 6) - -2. Suppose 0 = k*a - 7*a + 78. Suppose -4*l + 6 + a = 0. What is the smallest common multiple of 22 and l?
88
Let l(n) = -n**2 - 4*n + 3. Calculate the lowest common multiple of l(-4) and (75/20 - 1)*16/4.
33
Let d(p) = -45700587860*p - 1. Let u be d(-2). Let v = u - 5180253035328689/56676. Let g = v - 1/4723. What is the common denominator of g and 109/14?
84
Let l be 3 + -2 - (-2 + 7). Let j = l + 12. Suppose -5*m + 13*r = 10*r - 24, 0 = -3*r + 6. Calculate the smallest common multiple of m and j.
24
Let c = 4819/2488 - -20/933. Calculate the common denominator of c and -151/12.
24
Let k = 76171/140712 + 2/5863. What is the common denominator of k and 37/93?
744
Let c be (-54)/4*128/(-48). Suppose c = 5*l - 44. Calculate the lowest common multiple of 7 and l.
112
Suppose -6 = -x - 0*x. Let o(s) = -s**3 + 8*s**2 - 9*s + 12. What is the smallest common multiple of 2 and o(x)?
30
Let l = -47369 + 5210677/110. Find the common denominator of l and -117/308.
1540
Let s = -14 + 59. Let w = s + -34. Calculate the least common multiple of w and 38.
418
Find the common denominator of 47/8 and -6 + -1 + 2092/256.
64
Let j be -1 - 0 - (-3 + 18). What is the least common multiple of 30 and j/(-12) + 136/6?
120
What is the common denominator of ((-63)/5)/(52 + -48) and -67/212?
1060
Let i(m) = m**2 - 5*m + 1. Suppose -2 = -3*h + 2*h, -3*f + 82 = 5*h. Suppose f = 4*p + 4. Calculate the lowest common multiple of i(p) and 9.
9
Let o = -438 - -483. Calculate the least common multiple of 50 and o.
450
Let n = 371 + -335. What is the lowest common multiple of n and 6?
36
Let t(j) = j**3 + 10*j**2 + 19*j + 18. Let s be t(-8). Find the common denominator of 1*10*(-3)/252*s and -22/9.
63
Suppose 3*o + 60 = 6*o. What is the least common multiple of 68 and 1/(-4) + 25/o?
68
Let l(j) = 3*j**3 + j**2 - 4*j + 6. Calculate the least common multiple of 126 and l(3).
252
Let s = 7202 + -475313/66. Find the common denominator of s and 67/8.
264
Let p be (5/19140)/((-3)/44925*-2). Let z = p + -1/696. Find the common denominator of 0/(-2) + 73/(-8) and z.
88
Let m = -38 + 33. What is the common denominator of 25/3 and ((-10)/m - 1) + -33?
3
Let j = -8046/7 + 1152. Suppose k + 2*k + 9 = 0. Find the common denominator of 849/(-90) - 1/k and j.
70
Let d = -3260 + 6196. Let y = -32240/11 + d. Calculate the common denominator of y and -109/10.
110
Suppose 4*x = -2*f - 16, -4*f - x - 81 + 28 = 0. Let z = -8 - f. Let l(d) = 3*d**3 - d**2 - 2*d - 2. What is the smallest common multiple of z and l(2)?
42
What is the common denominator of -53/4 and ((-1)/104)/((-100)/(-9040))?
260
Let m = 325810596107/56 - 5817452178. Let t = -594146 + m. Let j = -248/7 + t. Find the common denominator of j and 61/6.
24
Let m = 144 + -124. What is the smallest common multiple of m and 60?
60
Let b = -4797 - -167953/35. Find the common denominator of -28/55 and b.
385
Let g(a) = -48*a - 95. What is the smallest common multiple of g(-3) and 35?
245
Let f = 1773372990/11 + -18939624173521/117480. Let q = f + 1/2136. What is the common denominator of 37/18 and q?
180
Suppose 2355 + 773 = -2*p. Let a = 3590875/6 - 600032. Let f = a - p. What is the common denominator of f and 93/4?
12
Suppose 2*d - 86 = 3*q + 234, -q - 620 = -4*d. Calculate the common denominator of (21 - 23) + d/12 and 64/45.
90
Let o(s) = 4*s**2 - 4*s + 2. Let d be o(2). Let g be 75/d*(1 + 1). Let j = g - 9. Calculate the smallest common multiple of 20 and j.
60
Suppose q + 20 = -q. Let t be 122/q - 6/(-30). What is the least common multiple of 1 and t + 15 + (-2 - 0)?
1
Let a = -26 - -40. Let n be -20*(3 - 2) + -3. Let r = n + 29. What is the smallest common multiple of r and a?
42
Suppose -k + 6*k = 200. Suppose k = 5*z - 0*z. Let p(b) = b - 2. What is the least common multiple of z and p(5)?
24
Let a = 93 + -90. Suppose a*z + 1 - 114 = 5*v, v + 73 = 2*z. What is the smallest common multiple of z and 24?
72
What is the lowest common multiple of (-378)/(-315) - 308/(-10) and 192?
192
Suppose 0 = 2*l - 2*k - 50, -114 - 1 = -4*l + k. Let o(x) = -9*x. Calculate the lowest common multiple of o(-3) and l.
270
Let o(l) = -9 - l**3 + 5 + 0*l - 3*l**2 - 2*l. Suppose 12 = 2*d + 2*f, 0 = 2*d + 4*f + 14 - 36. Calculate the least common multiple of d and o(-3).
2
Let b = 6/36739 + -4005847/7935624. Calculate the common denominator of b and -51/11.
2376
Let f = -97 + 184. Let i = 187 - f. Calculate the common denominator of 49/4 and (18/5