 = 0. What is the smallest common multiple of (6/o)/((-5)/(-25)) and 10?
10
Let t be (-2805)/68 - (-3)/(-4). Let d = -22 - t. What is the least common multiple of d and 2?
20
Let t = 123906 + -743473/6. Calculate the common denominator of t and ((-122)/120 - -1) + 0.
60
Suppose m + 21 = -0*m. Let v = m + 19. What is the common denominator of -50/9 and ((-24)/(-32))/(v/(-10))?
36
Let n(s) = s**2 - 9. Let p be n(3). Suppose 5*h + 0*h + 4*g - 33 = p, -5*h + 2*g + 21 = 0. What is the smallest common multiple of 5 and h?
5
What is the least common multiple of (-2)/(182/(-86073)) - 1/(-7) and 242?
10406
Let k = -97 + 35. Let o = -31 - k. Suppose -359 - o = -5*h. Calculate the least common multiple of h and 20.
780
Suppose -2 = -8*u + 10*u. Let v(i) = 135*i - 1. Let s be v(u). Let d = s + 541/4. What is the common denominator of 5/12 and d?
12
Let o = -3159 - -85271/27. Let x = -254790715/414 - -615437. Let b = 7/69 - x. Find the common denominator of o and b.
54
Let o = 21 + -14. Let p = o - 5. Find the common denominator of -1 - (p - 102/(-32)) and 119/20.
80
Let y(f) = 2*f**2 + 5*f + 9. Let p be y(-2). Suppose 0 = -p*g + 8*g - 15. What is the smallest common multiple of g and 5?
15
Let k be ((-5)/(-3))/((-145)/(-87)) + 2. Find the common denominator of -85/16 and (k/16)/(200/28 + -7).
16
Suppose 38*z = -4*n + 34*z + 16792, -3*z + 4202 = n. What is the least common multiple of n and 18?
37764
Suppose -2*p - 40*j = -43*j - 151, 0 = p - 4*j - 88. What is the least common multiple of p and 504?
8568
Let m = -1326 - -1350. What is the smallest common multiple of 36 and m?
72
Let h = -2477 - -7643. Calculate the lowest common multiple of 4 and h.
10332
Suppose 14*i - 12*i = -688. Let m be (-1 - -5) + i/(-4). Suppose m = 3*u - 0*u. Calculate the smallest common multiple of 9 and u.
90
Suppose 26*u + 173*u - 19900 = 0. What is the least common multiple of 560 and u?
2800
Let f(i) = -11*i**3 - 81*i**2 - 25*i - 156. What is the lowest common multiple of 20 and f(-8)?
2460
Find the common denominator of -79/405 and 19*(-1)/(-10)*(-5)/(11340/224).
405
Let v = -12 - -14. Let l(p) = p**2 + 2*p - 3. Let w be l(v). Suppose -36 = -w*m + 2*m. What is the smallest common multiple of 10 and m?
60
Suppose 7*b - 30 = b. Suppose 40 = b*j + 5*j. Calculate the least common multiple of (-3 + -2 + j)*-3 and 21.
21
Suppose 0*n - 38 = -3*n + 2*d, 0 = 5*n + 5*d - 55. Calculate the lowest common multiple of 141/(0 - 3/(-2)) and n.
564
Suppose -3*u = 2*u + 4*p + 57, -4*u = -3*p + 27. Let k be (1/(-1))/(u/(-15903)). Let g = k + 14051/8. Find the common denominator of 53/4 and g.
8
Suppose 59*a - 58*a - 7 = -h, 0 = -a + 5. What is the least common multiple of 1 and h?
2
Let w(r) = 66*r - 4960. What is the smallest common multiple of 336 and w(76)?
336
Suppose 3*c - 74 = -4*x, 16 = 4*c - 3*x - 41. Suppose 34*i - 11 = 329. Calculate the lowest common multiple of i and c.
90
Let u = -56499089/896 + 63057. Find the common denominator of u and -79/16.
896
Suppose 8 = -3*m + 2*w, 5*m + 7 = 3*w - 6. Calculate the common denominator of m/(-10) - (6 + (-1028)/560) and -81/70.
140
Let i be (0/(-3) - (-3)/(-3))*-4. Let r(g) = -6*g + 8. Calculate the lowest common multiple of r(-8) and (-585)/(-60) - (-1)/i.
280
Let o = -24631599/4774 - -56754/11. Find the common denominator of o and -42/5.
2170
What is the common denominator of (-30)/(-35)*(-896)/1224 and 13/213?
3621
Suppose 1454 = 158*z - 1706. Suppose 3*x - 4*x + 4*n = 6, -52 = -4*x - 3*n. Let c(h) = 3*h - 14. Calculate the smallest common multiple of z and c(x).
80
Let f(q) = q**2 - 15*q - 91. Let s be f(19). Calculate the common denominator of ((-6)/252)/1*s and (146/(-12))/(8/3).
112
Find the common denominator of ((-4)/8*38)/((-20352)/(-16)) and 79/66.
13992
Let w be (-6454)/312*(-10)/28. Let a be (-32)/(-240)*(-25)/260. Let v = a + w. Find the common denominator of v and 29/14.
56
Suppose 19*i - 860 - 553 = -273. Calculate the smallest common multiple of i and 1128.
5640
Calculate the smallest common multiple of (-2115)/(-282)*(-632)/(-10) and 2.
474
Let r be (9/981)/(8/10). Let b = r + -22529/6540. Calculate the common denominator of 20/87 and b.
870
Suppose 0 = -5*v - 4 + 9, 5*c = -3*v + 18. Suppose -a = -c*o + 3, 7*o + 16 = 4*a + 9*o. Calculate the smallest common multiple of a and 99.
99
Let c(o) = -137*o - 1969. Calculate the smallest common multiple of c(-15) and 14.
602
Let s(q) = 51*q + 517. Let z(w) = -76*w - 776. Let c(l) = 8*s(l) + 5*z(l). Calculate the least common multiple of c(-8) and 10.
160
Let o(x) = -5*x - 30. Let f be o(6). Let l = -57 - f. Suppose 0*c - 3*c = v - 54, -54 = -l*c + 3*v. What is the smallest common multiple of c and 12?
36
Let d = -389 - -1228. Let s = d - 793. What is the lowest common multiple of -1 - -1*(-22)/(-2) and s?
230
Suppose 0 = 4*k + 17 - 57. What is the least common multiple of k and 10*380/50 - 10?
330
Let o = -52 + 60. Let f(x) = -x**3 + 8*x**2 + 10*x - 4. Calculate the smallest common multiple of o and f(9).
40
Let j = 31246/3 + -1583097/152. Find the common denominator of -13/38 and j.
456
Let u = 78 + -1658/21. Find the common denominator of -3*(-8)/90*70*(-74)/6216 and u.
63
Suppose 0 = 2*a + 3*a + 25, -2*a + 110 = -4*g. Calculate the lowest common multiple of (g/6 - 1)*6/(-9) and 136.
136
Let x(w) = -w**2 - 19*w + 18. Let m be 324/(-16) - 9/12. Let i be x(m). Calculate the common denominator of (-3)/(-5) + 78/i and 71/54.
540
Let b = -99842515/756 + 132067. What is the common denominator of -103/132 and b?
8316
Suppose -4*l - 365 = 2*s - 7*s, -2*l = -4*s + 190. Let p = l + 114. Suppose 4*z + 7 = 5*z. Calculate the least common multiple of z and p.
203
Let t = -127549/3 - -17856817/420. What is the common denominator of t and (-2)/72*-20*(-12)/(-24)?
1260
What is the common denominator of (140103/6885 - 20) + -2*(-1)/(-6) and -107/270?
4590
Suppose 5*y - 30*g - 106 = -33*g, -3*y = -5*g - 50. What is the smallest common multiple of y and 2 + -1 - (-1 - -1)?
20
Let d be 715/(-3) - (-12)/36. Find the common denominator of 99/92 and 1 - (d/(-40) - 7).
460
Suppose -983*r + 5 = -959*r - 235. Let g = -3 - -9. What is the lowest common multiple of r and g?
30
Find the common denominator of 41/204 and (-9)/((-2340)/(-4693)) + 18.
1020
Let l(m) = 9*m**3 + 6*m**2 + 6*m + 6. What is the lowest common multiple of l(4) and 1287?
7722
Let t(u) = -u**2 + 6*u - 7. Let g be t(4). Let q = 24 + -2. What is the lowest common multiple of g/(61/20 - 3) and q?
220
Suppose -3*d = -225 - 564. Let w = d - 251. What is the smallest common multiple of 98 and w?
588
Let g(x) = 2*x**2 + 2*x - 1. Let j be g(1). Calculate the smallest common multiple of j + 1 - (9 - 4)*-2 and 152.
1064
Let u = 12967477/980 - 66162/5. Find the common denominator of 25/84 and u.
588
Let i(f) = 148*f + 290. Let u be i(-2). Suppose 2*j = -19 - 1. Find the common denominator of (-138)/(-15)*j/u and -50/11.
33
Let l(f) = f**2 + f - 6. Let p be ((2 + -17)/5)/1. Let s be l(p). Suppose m + s*m = -3*i + 27, 1 = i + 3*m. What is the lowest common multiple of i and 7?
70
Let t(w) = -6*w - 26. Suppose -5*v - 2 = 3, 3*v - 33 = 4*d. Calculate the lowest common multiple of t(-5) and (-3)/9 - 30/d.
12
Let s(v) = 2*v**3 - 2*v**2 - v + 1. Let z be s(3). Suppose -z = -2*j - 2*l, 7*l = -j + 2*l + 33. Let n = j + -5. What is the lowest common multiple of n and 4?
8
Let j = 12259/8 + -2170195/1416. What is the common denominator of j and -91/8?
1416
What is the common denominator of (-154)/24*405/(-304101) and -133/36?
57924
What is the smallest common multiple of (-110 + 140)/(1/5) and 20?
300
Let u = 276/11 - 1223/22. Suppose 0 = -m + 8*m - 16744. Find the common denominator of 20/(-14)*(m/352 + -6) and u.
22
Suppose 0 = -11*q + 47 + 85. Let w = -295 + 503. Suppose -102 - w = -5*g. Calculate the lowest common multiple of g and q.
372
Find the common denominator of (-2)/(-30)*3285/27*6/10 and -22/147.
735
Suppose -11*j - 3479 = -839. Find the common denominator of 6/5 - (-11208)/j and 85/12.
12
Suppose -n + 2*o - 5*o = -23, 3*o = 15. Let y(t) = t**3 + 30*t**2 + 60*t + 16. Let d be y(-28). Let q = -78 - d. Calculate the least common multiple of n and q.
72
Suppose -t + 32 = 3*t. Let o = 2622 - 2596. What is the smallest common multiple of o and t?
