ominator of t and a/21*(-3 - -16).
7
Let p = 57 + -81. Let k = 34 + p. Suppose -4*q + 3*u = -61, -5*u + 31 = -4*q + 90. What is the lowest common multiple of k and q?
80
Let r(x) = 2*x**2 - 20. Suppose 0 = -3*l + 19 - 31. What is the smallest common multiple of 2 and r(l)?
12
Calculate the least common multiple of (-16)/(-24) - 140/(-6) and 20.
120
Let z = 580364047670245/28434 + -20410918180. Let p = -1/2031 - z. Calculate the common denominator of p and -5/12.
84
Calculate the smallest common multiple of ((-28)/(-16))/(1/4) and ((-30)/18)/((-5)/30).
70
What is the least common multiple of -30*1*((-87)/9 + -3) and 8?
760
Let t be (-3133991)/(-608769) + 0 + -3. Let i = t - -2/28989. Find the common denominator of -23/21 and i.
189
Let f = -53281/6 + 8856. What is the common denominator of (-1485)/(-12)*2/10 and f?
12
Let m = -16195 + 582889/36. Find the common denominator of m and 5/36.
36
Let y = 5714012/7 - 817796. Let c = y + 1502. Find the common denominator of (1 - (-1185)/350) + 6/(-21) and c.
70
Let p be (-1526)/(-21) + 4/(-6). Calculate the common denominator of 89/20 and (103/p + 0)/((-1)/3).
120
Let y = 9/851 - 121801/10212. Calculate the common denominator of (-235)/(-4)*35/175 and y.
12
Let p = 36 - 37. Find the common denominator of 3*(-94)/(-120) - p and -37/6.
60
Let s(m) = -11*m - 65. What is the least common multiple of s(-10) and 25?
225
Let m = 7537/1220 + -101/122. Let x(p) = -p**3 - 2*p**2 + p + 2. Let c be x(-3). Calculate the common denominator of m and (-60)/(-27)*3/c.
60
Let c = -5017/13 + 381. Let s = 3546/715 + c. Let t = s + 27/44. Calculate the common denominator of 61/12 and t.
60
Suppose -109*p - 64 = -117*p. What is the lowest common multiple of 2 and p?
8
Suppose 233408 = 2*a + 5*s, 33747 - 150473 = -a + 3*s. Let l = 12605231/108 - a. What is the common denominator of -25/22 and l?
1188
What is the least common multiple of (-2)/(-3*12/18) - -1 and 15?
30
Suppose -16 + 24 = 2*m. Suppose 0 = m*t - 9*t + 60. Calculate the smallest common multiple of t and 3.
12
What is the common denominator of 61/245 and -86*(-2)/(-8)*(-14)/(-49)?
245
Let y = 211/1440 + 11/1440. What is the common denominator of y and -47/28?
1680
Suppose 3*b - 3*r + 2 - 8 = 0, -2*b - 4*r + 16 = 0. Suppose -b*c = c - 30. Calculate the least common multiple of c and 10.
30
Let s = 1398 + -574. Let w = -30583 + 62729/2. Let j = w - s. What is the common denominator of j and -11/10?
10
Let r = -1720 - -6831/4. What is the common denominator of r and 33/20?
20
Let d = 7 - 18. Let y(p) = p**2 + 8*p - 25. Calculate the smallest common multiple of (18/4)/(6/8) and y(d).
24
Suppose 4*v = c + 18, 0 = -2*c + 3*v - 4*v + 9. Calculate the common denominator of -43/20 and c/4 + (-12)/(-5).
20
What is the common denominator of 24/72 - 82/16 and 32/81?
648
Suppose 4*y + 4*q + 331 = 9*y, -303 = -5*y - 3*q. What is the smallest common multiple of y and 77?
693
Calculate the common denominator of (-1)/(10/3)*(-31)/3 and (820/(-32))/(-5) - -1.
40
Suppose 2*n + 2*n = 96. Suppose -f - 4*t = -2*t, -4*f + 4*t + n = 0. Calculate the smallest common multiple of f and (-62)/(-2) - (-12 + 15).
28
Suppose -2*d = -6*w + 9*w - 64, w - 12 = -3*d. What is the smallest common multiple of w and 23?
552
Let v(p) = -4*p + 4*p + p**3 + 7*p**2 + 2*p + p + 2. What is the lowest common multiple of v(-6) and 20?
20
Let f be 4/18 - (-2 + 312/(-54)). Find the common denominator of -3*f/(-12)*(-19)/(-3) and 27/22.
66
Suppose -5*f - 20 = -0, -5*f - 268 = -4*m. Let c(p) = -p**2 + 11*p + 9. Let k be c(11). Calculate the smallest common multiple of m and -8 + k + (1 - 1).
62
Let f(o) = o**3 + 26*o**2 - 23*o + 53. Let y be f(-27). What is the smallest common multiple of ((-4190)/y - 6) + 4/(-22) and 22?
770
Let v = -69 - -32. Let w = 3886 + -69919/18. What is the common denominator of w and 4/(-18) + v/(-126)?
126
Let l = -8590 + 8592. Let y(j) = -j**2 + 7*j - 4. Suppose -4*c = -0*c - 20. What is the lowest common multiple of l and y(c)?
6
Suppose 0*y = -y + 10. Find the common denominator of (-79 - y)*2/30 and -52/45.
45
Find the common denominator of 19/32 and (86/56)/((-480)/560).
96
Let l = -2/4623 - 214195/9246. Find the common denominator of 4/(-2) - (-711)/(-108) and l.
12
Suppose 0 = 217*y - 215*y + 36. Let k = 28 - y. What is the common denominator of k and (2 + 0)*(-178)/(-40)?
10
Let b(y) = -2*y + 8 - y - 2 - y - y**2. Let j be b(-5). Suppose -j = -2*d + 13. What is the least common multiple of d and 3?
21
Let g = 1703 - 5170/3. Calculate the common denominator of g and 40/11.
33
What is the common denominator of 68/39 and (4/((-144)/42))/(3/20)?
117
Suppose -3*n - 2 = -11, m + 5*n - 35 = 0. Suppose 2*g = z - 20, 7*z + 2*g = 4*z + m. What is the lowest common multiple of 3 and z?
30
Calculate the common denominator of (-2)/((-12)/(-53) + 0) and 89/445 - (-1226)/(-180).
18
Let o = -59/75 - -6911/300. What is the common denominator of o and 81/68?
68
Let g(q) = q**3 + 6*q**2 + 5*q. Let l = -81 + 85. Suppose 0 = -3*j - 6, l*v + 4*j + 0*j = 64. Calculate the least common multiple of g(-4) and v.
36
Let o be (-2927696)/(-1020)*4053/56. Let x = o + -207738. Find the common denominator of 51/2 and x.
170
Let j(w) = -90*w + 483. What is the least common multiple of j(5) and 88?
264
Suppose 2*d + 5*z = -152 + 197, -4*d = -5*z - 75. Calculate the least common multiple of 10 and d.
20
Suppose 454 = 5*c - 136. Find the common denominator of -59/9 and (-12)/(-90) - c/30.
45
Suppose 3*i = -0*i + 114. Let t = i + -68. Let h = t - -10. What is the common denominator of h and 57/2?
2
Suppose 0 = -4*l + 5*l - 2. Suppose z = -z + 2*o - 62, -5*z + l*o - 161 = 0. Let j = 36 + z. What is the lowest common multiple of 7 and j?
21
Suppose 7 = -0*i + 7*i. Let h(a) = 5*a**2 + a - 2. What is the least common multiple of 16 and h(i)?
16
Calculate the common denominator of 43/38 and 7/4 + -1 + (-1643)/(-372).
114
Suppose 0 = 1433*r - 1427*r - 192. Calculate the least common multiple of 48 and r.
96
Let b = -3830 - -122651/32. What is the common denominator of b and -51/16?
32
Suppose 3*c = -2*c - 3340. Calculate the common denominator of (-3 - 102/(-33))*1 and 2/5 - c/30.
33
Suppose -4*d - 522 = 2*i, 5*i = -4*d + 3*d - 135. Let x = 74 - 56. What is the smallest common multiple of x and d/(-8) - 3/12?
144
Suppose -4*f - 492 = -2*l, 0 = -3*l + 2*l + f + 249. Calculate the lowest common multiple of l and 10.
1260
Let y(k) = k**2 + 6*k - 2. Let v be y(-6). Suppose 0 = 235*s - 226*s + 27. Find the common denominator of 17/11 and 71/s - 8/v.
33
Let g = -12636 + 568588/45. Find the common denominator of 139/90 and g.
90
Let d = -35/78 + 123/52. Let y = 856/375 - 2/125. Find the common denominator of d and y.
60
Let q = -101241/33242 - -2/16621. Let h be 3532/14 + (-6)/21. Find the common denominator of 6/21 - (-334)/h and q.
198
Let u = -719 - -794. Calculate the smallest common multiple of u and 9.
225
Let g = 2194 - 1986. Calculate the least common multiple of g and 12.
624
Suppose 5*w + 30 - 150 = 0. Suppose 5*j - 40 = 3*k, -3*j - 6*k = -3*k - w. Let u = 47 + -29. Calculate the smallest common multiple of u and j.
72
Calculate the smallest common multiple of 2 and ((-2)/(-8))/(((-6)/312)/(-1)).
26
Suppose 10714 = 85*w + 3574. Calculate the least common multiple of 140 and w.
420
Suppose 4*v - 2 = i + 26, -3*v + 6 = 0. Calculate the common denominator of 5*8*i/16 and 14/(-20) - (-14)/(-35).
10
Let i = 42161/10384 + 3/1298. What is the common denominator of i and -35/2?
16
Let j(i) = i**2 + 15*i + 24. Calculate the lowest common multiple of j(-14) and 12.
60
Suppose 5*i = 3*i - 10, 185 = -4*m + 3*i. Suppose 2*k - 7*k - 20 = 0. Find the common denominator of m and 3 + -1 - k/(-22).
11
Find the common denominator of -1/30 and 44/(-5) - (3 - -7 - 11).
30
What is the least common multiple of 2 + (1 - (-1 + -48)) and 102/340 + (-942)/(-60)?
208
Let h(y) = 2*y**2 - 54*y + 130. What is the smallest common multiple of h(25) and 48?
240
Let c = 79572/1415 + -24150622/448555. Let y = 2/317 + c. What is the common denominator of -64/15 and y?
15
Suppose 3*v + 2 = -i - 0*i, i - 6 = -5*v. Let c(j) = -j**2 - 13*j + 34. Calculate the least common multiple of 16 and c(i).
80
Let j = -253933/41040 + -1/20520. Calculate the common