112
Let k = -291390 - -297800553/1022. Calculate the common denominator of -23/14 and k.
1022
Suppose -15038 = -5*y + 26157. Let v = -2718376589/329802 + 4706/14991. Let q = v + y. Calculate the common denominator of -79/38 and q.
418
Suppose -62 = -k - 40. Calculate the least common multiple of 4 and k.
44
Find the common denominator of 14/(-14)*(1 + 58/(-15)) and 25/189.
945
Suppose 0*k + 4 = -k. What is the least common multiple of 5 and ((-2)/(-6))/(k/(-108))?
45
Let c = 117113/14 - 8370. Let v = -3/604 - -17531/3020. What is the common denominator of v and c?
70
What is the common denominator of (780/(-85150))/(2/220*3) and 46/5?
655
Suppose -3*g = 4*w - 111, 5*g - 6*g + w + 30 = 0. Calculate the smallest common multiple of 7 and g.
231
Suppose 0 = -3*x - k + 807, 2*x + 45*k - 538 = 44*k. Calculate the lowest common multiple of x and 8.
2152
Suppose 4*d = 16, 2*p + 3 = 3*d + 51. What is the smallest common multiple of ((-16)/(-20))/(4/p) and 22?
66
What is the lowest common multiple of 76 and (1 - 175/4)/((-224)/896)?
684
Calculate the common denominator of 81/226 and 2 + 2754/(-60) - 24/15.
226
What is the common denominator of 1057/(-42) - (-2)/3 and 1530/(-290)*(-1)/30?
290
Let m = -21189/121385 + -13480272853/278942730. Let o = m + 1/1149. Calculate the common denominator of o and (-45)/2*(-5)/12.
8
Suppose -5*z = -2 + 22, 0 = 2*x + z - 8. Let k(q) = q - 1. Let l(p) = -p + 20. What is the lowest common multiple of l(18) and k(x)?
10
Let f = 20996 - 462005/22. Let b(z) = -z**3 + 5*z**2 - 2*z + 3. Let c be b(6). What is the common denominator of -1 + (c/(-16) - -1) and f?
176
Let x = 5597/20 + -1404/5. What is the common denominator of x and 107/20?
20
Let o(n) = -n**2 - 2*n + 5. Let q be o(-4). Let z(d) = -3*d + 1. What is the lowest common multiple of z(q) and 6?
30
Let u = 210 - 462. What is the common denominator of 15/9 - 858/u and -109/14?
14
Let f = -64/9 + 1307/180. Find the common denominator of -31/244 and f.
1220
What is the common denominator of -69/32 and (-14)/(-49) - (943/238 + -2)?
544
Let t = -29293/11070 - 8/205. What is the common denominator of t and 11/(-12)*(-8)/(-3)?
54
Let h = -18712 - -1066630/57. Calculate the common denominator of 1255/(-150) + (3 - (-20)/5 - 2) and h.
570
Let m = 6 + 34. Find the common denominator of -5 + 9 - 78/m and 117/20.
20
Let d = 1/1467939 + -28464805157/11743512. Let i = d - -2429. Calculate the common denominator of -87/20 and i.
40
Let u = 164/21 - -31/126. Let o = -3793 - -34087/9. Calculate the common denominator of u and o.
18
Let j(f) = 6. Let o(m) = -m + 19. Let c(l) = -7*j(l) + 2*o(l). Let k be c(-5). Let x(w) = 3*w + 2. Calculate the smallest common multiple of x(k) and 4.
20
What is the smallest common multiple of 714 and (20/(-12) - -3)*9?
1428
Let g(k) = 6*k + 35. Let w be g(-5). Suppose 2*z = -w + 19. What is the least common multiple of z and 3?
21
Suppose 2*o + 3 = 9, -2*o = 4*t - 2. Let d = 44 - 47. What is the smallest common multiple of 4 and (t + 3)/(d - -5)?
4
Let u = 12/457 + -11990/4113. What is the common denominator of 37/186 and u?
558
Suppose -5 - 20 = -5*o. Suppose -33 = -o*m + 12. What is the least common multiple of 10 and m?
90
Let m be (-1 - 0)*(1 - 1). Suppose -10 = -5*x - m. Suppose 3*a + x - 29 = 0. What is the smallest common multiple of 3 and a?
9
Let j = -112 + 122. Calculate the smallest common multiple of j and 8/28 + 19/7.
30
Let g(j) = 11*j - 7. Find the common denominator of g(5) and 1 - (-228)/(-16) - -5.
4
Let l be 2930/65*(-3)/12. Let t = 16/13 - l. Let q = -82493/16340 - 6/4085. Calculate the common denominator of t and q.
20
Let g be (-1)/2 + 5/10. Suppose 3*x = -n - g*x - 104, -291 = 3*n + 2*x. Let o = 1457/16 + n. What is the common denominator of -71/20 and o?
80
Let n(k) = -59*k - 17. Let z be n(7). Let q = 620 + z. What is the smallest common multiple of 4 and q?
380
Let q(c) = c**2 - 2*c - 6. Let h(s) = s - 13. Suppose 2 = 2*u + 4*w, -u = -3*u - w + 14. Let k be h(u). What is the lowest common multiple of 12 and q(k)?
36
Suppose t + 5*h = 17, 5*h + 25 = 4*t + 7. Let k = t - 6. Find the common denominator of -45 and (-325)/(-90) + k/(-6).
9
Let w(p) be the third derivative of p**6/6 - p**5/60 + p**4/12 - p**2. Calculate the lowest common multiple of 12 and w(1).
84
Let l = 7 - 21. Calculate the common denominator of -14/5 and l/(-18) + 3/9.
45
Calculate the least common multiple of (-1270)/(-100) - (-3)/10 and 10.
130
Let d(z) = 4*z + 27. Let o be d(0). Let s = -26 + o. Calculate the smallest common multiple of 39 and s.
39
Let t be (-9)/21 + 17/7. Let m(u) = 3 + 5 - t*u - 2*u. What is the common denominator of m(5) and -83/4?
4
Let d = -2/1021 - -52091/10210. Find the common denominator of d and -71/86.
430
Let c(l) = -1057*l + 2. Let y be c(-4). Let b be ((-6753)/(-32))/((-61)/(-1220)). Let r = b - y. Find the common denominator of r and -97/4.
8
Let o = 42219 - 6332821/150. Calculate the common denominator of o and 125/12.
300
Suppose 3*n + 4 = -32. Calculate the common denominator of -68/27 and (1 + 9/n)/(210/(-200)).
189
Let t be ((-1)/(-3))/(14/38283). Let s = 891 - t. Calculate the common denominator of s and (78/(-585))/(-2*2/580).
6
Let w = 137945924153028279561209295/18072712 + -7632829215284796639. Let g = 3/4518178 + w. Let a = g - 8394. Find the common denominator of 33 and a.
8
Let o = -7 + 11. Suppose -o = -2*v + 12. Let i(c) = 5*c + 376. What is the least common multiple of i(-74) and v?
24
What is the common denominator of -1 + 0 - 50/68 and -5 - (-798)/(-96) - -10?
272
Let q(r) = 25*r**3 + r**2 + 7*r + 4. Let i be q(-7). Let m = 8159591/952 + i. Let p = m - 39505/2856. Calculate the common denominator of p and 55/24.
24
Suppose 4*f - 4 = -4*r + f, -4*r + 20 = -f. Calculate the lowest common multiple of r and (-13)/(-3) + 1/(-3).
4
Let a(m) = 3*m**3 + 4*m**2 + 4*m + 1. What is the lowest common multiple of a(3) and 13?
130
Suppose -z + 10 + 1 = -3*k, -4*z + 2*k = -24. Suppose -z*i - 5*t + 15 = -20, 0 = 4*i - 3*t - 49. Let v = 40 - 29. What is the least common multiple of i and v?
110
Let o = -33 + 36. What is the lowest common multiple of 8 and ((-92)/o)/(10/(-15))?
184
Let v(d) = d**3 + d**2. Let j be v(1). Suppose 5*i = -4*l + 51, 0*l = -3*i - j*l + 31. Calculate the lowest common multiple of i and 5.
55
Suppose -5*z - 4 = -3*z + 5*y, 2*y + 13 = 3*z. Suppose z*r + 24 = 78. Calculate the lowest common multiple of 24 and r.
72
Let o(v) = v**3 + 5*v**2 + 3*v. Let f be o(-6). Let d = 22 + f. Calculate the common denominator of 9 and -3 + 4/(d/(-113)).
8
Let c(s) = -s**3 - 2*s**2 + 2*s - 3. Let p be c(-3). Let t be (10 + p)*3/(-1662). Let j = 10688/6371 - t. Find the common denominator of -5/7 and j.
161
Let u(d) = d**3 - d**2 - 5*d + 10. What is the common denominator of 53/5 and u(2)?
5
Let p = 153 - 78. Suppose 0*i - 3*z = 3*i - p, -3*z = 4*i - 105. Suppose k = 2*q - 3*k - 20, 3*q - 3*k = i. What is the lowest common multiple of 8 and q?
40
Let d = 56 - 42. Suppose -11*i = -d*i + 15. Calculate the lowest common multiple of 11 and i.
55
Suppose 39 = o - 3*i, -3*i - 38 = -2*o + 52. Calculate the smallest common multiple of o and 85.
255
Calculate the common denominator of -83/472 and (-11)/((-72)/52 - 0).
4248
Suppose -5*t - 68 = -0*j + 3*j, 4*t - 34 = j. Let u = -18 - j. Calculate the least common multiple of u and 2.
8
Let a(k) = -k**3 - 7*k**2 + 9*k + 12. Let c be a(-8). Let p(i) = -4*i - 5. Let b be p(c). Calculate the common denominator of (2/(-3))/(b/(-9)) and 99/8.
56
Let j(t) = -2 - 3*t**2 + 9*t - 6 + 4*t**2. Let w(q) = -q**3 + 8*q**2 - q - 3. Let i be w(8). Calculate the lowest common multiple of j(i) and 18.
126
Let h = 45527/28 - 1626. Find the common denominator of ((-18)/8)/(2 + 3) and h.
140
Let t = -334025/28 - -11927. Let l be ((-59)/(-2))/(1/(-4)). Calculate the common denominator of 4/2 + l/(-24) and t.
84
Suppose 336 = 6*r + 96. What is the least common multiple of r and 105?
840
Suppose 0 = -2*i - 18 + 82. Let a(v) = 9*v**2 - v - 1. Let d be a(-2). Suppose 3*l + d = -i. Find the common denominator of -51/10 and l.
10
Find the common denominator of (-11)/(-66)*(-172)/6 and -85/84.
252
Suppose 2384 + 576 = 20*q. What is the smallest common multiple of q and 8?
296
Calculate the common denominato