2
Let o(f) = f**3 + 23*f**2 - 50*f + 15. Suppose 3*p + 186 = -2*i + 937, -i - 745 = -3*p. What is the smallest common multiple of o(-25) and p?
1245
Let p = 4/19351 + 367553/561179. Calculate the common denominator of p and 118/(-36) + 4/8.
261
Let h(g) = 1593*g**3 - 4*g**2 + 5*g - 5. Let t be h(2). Find the common denominator of 53/24 and (-9)/(-33) - t/(-7480).
120
Let r(y) = y**2 - 18*y + 90. Suppose -5*b = -10, a = -0*a - 4*b + 22. Calculate the smallest common multiple of 16 and r(a).
272
Suppose 5*w + 25 = -0*w, -o - 3*w = 5. Suppose c + o = 21. Calculate the smallest common multiple of c and 1/(6/(-8) + 1).
44
Let a(o) = -40*o - 643. Let h = 15307/7416 - 7/824. Calculate the common denominator of h and a(-17).
18
Let m be (27/6)/((-34)/12 - -3). Suppose -y + 330 = 2*f + m, -597 = -4*f - 5*y. Calculate the common denominator of (36/(-15) + 2)*f/(-12) and -6.
10
Let s = 4065 + -2743913/675. Calculate the common denominator of s and -29/75.
675
Let k = 4323 - 4185. What is the least common multiple of k and 276?
276
Let r(t) = 343*t**3 + t**2 + 8*t - 25. What is the least common multiple of r(2) and 2739?
2739
Suppose -12*u = -794 - 136474. Let h = u - 514832/45. What is the common denominator of 103/6 and h?
90
Let x be 2/2148*-4*241626/24. Let m = x - 2/537. Find the common denominator of -2 + ((-58)/(-48) - 4) and m.
24
Let q(i) = -2*i**3 - 18*i**2 + 18*i - 15. Let r be q(-10). Suppose -r*p + 3*x = -112, 3*x + 96 = 4*p - x. Calculate the smallest common multiple of p and 14.
140
Let u(l) = -l**2 - 5*l + 6. Let c be u(-6). Let q = 4 + c. Suppose -45*s + 374 = -132 - 34. What is the smallest common multiple of s and q?
12
Let l = 4173769/120 - 69565/2. Find the common denominator of -34/11 and l.
1320
Let p = -51 - -51. Suppose 2*x - 51 - 1 = p. Suppose -10 = 4*q - x. What is the lowest common multiple of 5 and q?
20
Let u be (-238)/(-8) - (-3)/12. Let g be (4104/u)/2 - 4/10. Calculate the lowest common multiple of 3 and 6/8 - (-425)/g.
21
Let u = -4/853 + 91311/8530. Calculate the common denominator of u and 43/1900.
1900
Suppose -i = 16 - 18. Let q = -215 - -233. Calculate the least common multiple of q and i.
18
Let x = 120 - 135. Let t = 7 + 3. Calculate the smallest common multiple of (-12)/3 - (-80)/x*-3 and t.
60
Suppose 5*z - 30 = 0, -4*n - 3*n + 246 = -2*n + z. What is the least common multiple of n and 0 + 67 - (-3)/3?
816
Let o = -48147031/248 - -194141. Calculate the common denominator of o and -21/88.
2728
Let u(l) = 5*l**2 + 16*l - 12. Let t be u(-5). Suppose -9 = -7*q + t. Calculate the least common multiple of q and 4.
12
Suppose -6*s - 13 = 11. Calculate the common denominator of 46/5 and (s - -2) + (-195)/9 - -2.
15
Suppose -5*z + 3*v + 3 = 0, -4*z + z = -3*v - 3. Suppose -9*m + 8*m + 35 = 4*d, z = -3*m + 2*d + 35. What is the lowest common multiple of 30 and m?
30
Let g = -29945 - -2335561/78. Let r = 220842 + -2208457/10. Calculate the common denominator of g and r.
390
Let d = -1300/3 - -3869/9. Suppose -i = -109 - 45. Find the common denominator of (-3)/(-4) - i/(-72) and d.
9
What is the common denominator of (-322)/(-7245)*((-435)/(-882))/1 and -41/63?
1323
Let z(i) = i**3 - 5*i**2 - 7*i + 7. Suppose 5*l = 9 + 21. Let s be z(l). Calculate the common denominator of -19/24 and (-774)/(-27)*s/(-2)*1.
24
Let b = -8906 + 9254. What is the least common multiple of 12 and b?
348
Find the common denominator of 155/66 and (119/(-84) - 2/(-3))*(-182)/(-161694).
91212
Suppose -14 - 11 = -5*c. Suppose -c*q + 24 = -3*q. Suppose -15*r - 16 = -421. What is the least common multiple of r and q?
108
Suppose 196*m + 220*m = 151*m + 493430. Calculate the least common multiple of 76 and m.
3724
Let a = 30 - 13. Let n = -26 + a. Calculate the least common multiple of 6 and (5 - (-12)/(-9))/((-1)/n).
66
Suppose -5*h + 8*h - 15 = 0. Suppose -22 = -l - 2*n, -2*l + h*n = l - 11. Let d(t) = -t**2 - 9*t + 10. Calculate the smallest common multiple of l and d(-9).
60
Let o(c) = 2*c**3 - 17*c**2 + 8*c - 13. What is the lowest common multiple of 140 and o(9)?
140
Suppose 3*s + 546 = 7*s - 2*q, 2*s + 3*q - 261 = 0. Suppose 5*w - 5 = 4*m - 9*m, -4*w = 2*m - 20. What is the lowest common multiple of w and s?
135
Let x(v) = 3*v**2 + 2*v - 1. Let g be x(1). Let b = -2322 - -16258/7. What is the common denominator of -43*(4/(-3))/g and b?
21
Let w = -13737 - -522027/38. Find the common denominator of 65/3116 and w.
3116
Let n be ((-6)/15)/((-5)/2925). Let x = n + -233. What is the smallest common multiple of x and 248?
248
Suppose 4*z + 112*f - 6238 = 114*f, -2*f = -2*z + 3118. Calculate the least common multiple of 28 and z.
10920
Suppose -5*d - 4*k - 117 = 0, -d + 2*d - 3*k + 31 = 0. Find the common denominator of -73/9 and d/(-9) - 24/18.
9
Let u be (1/(-3))/(50/1272495). Let g = u + 8490. Find the common denominator of g and 1 + (-25)/(-5) + (-230)/16.
40
Suppose 0 = -43*j + 161777 + 333. Calculate the lowest common multiple of 7 and j.
26390
Suppose 0 = 3*c - 2*c - 4. Let w = -564 + 570. What is the lowest common multiple of w and c?
12
Let v be (-4)/(-2) - (2 - 4914267/120). Let m be (-6)/14 + (-14)/(294/(-859959)). Let h = v - m. Calculate the common denominator of h and -99/28.
280
Let l(k) = k**2 - 36*k - 115. What is the lowest common multiple of 124 and l(-7)?
372
Calculate the common denominator of -4 - -2 - 358/(-76) and ((-6)/165)/((-1539)/135)*(-21 - (4 - 4)).
418
Suppose -5*z = 1735 - 125. Let g = 212 + z. Let j = 180 + g. What is the smallest common multiple of j and 2?
70
Let q(d) = 29*d - 3612. What is the smallest common multiple of q(126) and 2261?
13566
Suppose 2*n - 7029 = -k, 133*k = 3*n + 137*k - 10566. Calculate the least common multiple of 3861 and n.
38610
Find the common denominator of (7 - (-4)/((-704)/586)) + -4 and 30/1177.
9416
Calculate the least common multiple of 2089 and (-26)/((-416)/100) + 2/(-8).
12534
Let g = 72339/16 - 4525. Find the common denominator of g and (3/2)/(-1) - 7.
16
Let y be -1*8/5320*6. Let r = -5611/665 - y. Calculate the common denominator of r and (2/46)/(12/(-150)).
322
Let d = 186 + -167. Suppose d*u - 16*u - 18 = 0. What is the least common multiple of u and 92?
276
Suppose 1316 + 7644 = 20*a. Calculate the lowest common multiple of 16 and (a/21)/((-2)/(-6)).
64
Let a(h) = 4*h - 43. Let y be a(12). Suppose -2*r - 16 = -u, y*u - 71 = 2*r + 1. Suppose u = 15*c - c. What is the smallest common multiple of 1 and c?
1
Suppose 7*a = -1661 - 1286. Let h = a + 501. What is the lowest common multiple of 110 and h?
880
Let m = 12245 + -41900. Let p be (-2 + 1)/(3 - (-88947)/m). Let f = 1681 + p. What is the common denominator of f and 47/2?
2
Let o(k) = 4*k**3 - 4*k**2 - 4*k. Let t be o(-3). Let l = -90 - t. What is the lowest common multiple of l and 4?
84
Suppose 51*s + 5*j + 76 = 53*s, 0 = -s - j + 24. Calculate the least common multiple of 1468 and s.
10276
Let c(y) = -783*y - 6907. Calculate the lowest common multiple of c(-9) and 1764.
8820
Let x = 152/21 - 28445/3927. Let u = 13/6372 - 15589/6372. Calculate the common denominator of x and u.
1683
What is the common denominator of 157/1248 and 3025/(-2250)*3*(-10)/156?
3744
Suppose -21*u + 25*u - 164 = 0. Let z = u + -41. Suppose z = 4*l - 3*w - 63, 0 = -4*l - 2*w - 25 + 103. What is the lowest common multiple of l and 28?
252
Let g = 80848/7 - 11543. What is the common denominator of 91/278 and g?
1946
Suppose b = -r + 3*b + 67, 0 = -2*r - b + 154. Let z = r - 108. Calculate the common denominator of (4/(-3))/(22/(-69)) and z.
11
Let x be ((-15590)/(-30))/((-14920)/(-204)). Let u = -2/373 + x. Calculate the common denominator of -87/2 and u.
10
Suppose 0 = 5*l + 5*h, -27 = -4*l + 5*h - 0. What is the least common multiple of l and 157?
471
Let q be (-4)/(-34) + (-50256)/(-8262). Let k = q - 135/17. Find the common denominator of -101/12 and k.
108
Let t(f) = -5*f**2 + 41*f - 4. Let g be t(9). What is the common denominator of 61/9 and (123/g)/(18/8 + 0)?
90
Let r = -2062 - -18632/9. What is the common denominator of ((-6)/(-3))/(-2) + 10450/10488 and r?
828
Let o = 15299/618 + 8/103. Let d(l) = 2*l - 13. Let h be d(5). Find the common denominator of o and h/(-1) - 885/120.
24
Let b(i) = 80 - 10*i + 0*i + 122. Calculate the smallest comm