Suppose d + 114 = -2*d. Let a = d + 44. What is the least common multiple of s and a?
18
Let x be (24/(-6))/(1/33). Let z = -35039/12 - -2923. What is the common denominator of z and 158/15*(-15)/x?
132
Suppose -12*x = -9*x + 6. What is the lowest common multiple of 20 and -1*-3*x/6*-38?
380
Let t(k) = -9*k - 8. Let g be t(-13). Calculate the common denominator of (64/6)/(33/9) and (g/18)/(11/(-33)).
66
Let s = -21 - -8. Let p = s - -21. What is the smallest common multiple of 104/39*30/p and 12?
60
Let v = -532516293/322054 - -2/161027. Let b = v + 14953/9. Find the common denominator of ((-33)/48)/((-5)/(-35)) and b.
144
Let d = 264584 + -1607381/6. Let j = d - -3322. Calculate the common denominator of j and -11/30.
30
Let z = 5898 + -471781/80. Find the common denominator of (5/10)/((-1)/81) and z.
80
Let m = 22728773/3767190 - 2/125573. Calculate the common denominator of m and 5 - (-1236)/(-162) - 2/(-9).
270
Suppose -376 = -4*o + c, -5*o = -2*o + 5*c - 259. Suppose 4*l + 0*f - 4*f = 116, -3*f = 3*l - o. What is the lowest common multiple of 15 and l?
30
Let h = 11 - 10. Calculate the smallest common multiple of (10 - 12)/(h/(-4)) and 10.
40
Let b be 51/34 + 2/4. Find the common denominator of 55/14 and 10690/(-420) + b/7.
42
Suppose 0 = -3*w - 6 + 3. What is the common denominator of 25/(-75) + (w - (-31)/9) and 29/12?
36
Suppose -5 + 2 = s. Let t = -12 - s. Find the common denominator of -109/10 and 1 + (2511/24)/t.
40
Suppose 2*q = g + 6*q - 26, -2*g + 52 = -q. What is the smallest common multiple of 272/36*3 + 6/(-9) and g?
286
Suppose 12*x + 119 - 551 = 0. What is the smallest common multiple of 42 and x?
252
Let d = 361 + -253. Let j = 87025/12 + -7240. Find the common denominator of 11*(-102)/d + 5 and j.
36
Suppose -4*s + 468 = 3*z, 5*s + 5*z = 369 + 211. Calculate the smallest common multiple of s and 45.
360
Let n = -11525 + 230563/20. Find the common denominator of (-27)/10 + -2 + 2 and n.
20
What is the common denominator of (218/(-80))/((-1)/2) and (150/(-40))/((-99)/(-220)*(0 - 6))?
180
Let v(p) = 15*p + 3. Let l be 35/25 - (-8)/(-20). Let z be v(l). Find the common denominator of 482/(-48) - 6/z and -97/10.
40
What is the common denominator of -13 - 5337/(-426) - 0/1 and -1/16?
1136
Let u = 617 + -597. What is the smallest common multiple of u and 340?
340
Calculate the common denominator of (6/66)/(1/8) and (23/(-3))/(20/(-6)).
110
Suppose -3*x + 36 = -4*k, -4*x - 2*k + 48 = -4*k. Let h = 9 + -33. Let y = 44 + h. What is the least common multiple of y and x?
60
Let f be 2/((-4)/(-18)) + -4. Suppose 43 = 4*m + f*x, -39 = -m - 2*m + 3*x. Calculate the common denominator of 125/6 and 18/m + 44/(-3).
6
Let z = -974/435 - 24/29. Find the common denominator of z and -73/35.
105
Let s = -38 - -49. Let j(w) = -w**2 + 13*w - 16. Calculate the least common multiple of j(s) and 2.
6
Let i be (-2067)/(-18) + -1 + (-1)/(-2). Let z = -461/6 + i. What is the common denominator of z and -49/16?
16
Let g = -18/1907 + -142233/83908. Calculate the common denominator of 11/8 and g.
88
Let o be (0 - -20343)/(-1 + 0). Let r = o + 447639/22. What is the common denominator of r and 33/10?
110
Let z = -368035/115472 + -2/7217. What is the common denominator of z and 27/4?
16
Suppose 4*t - 5*b - 29 = 0, 2*b - 2 + 12 = 0. Calculate the common denominator of 440/198 - (4 - t) and 29/3.
9
Let j(y) = y**3 - y**2 + y + 2. Suppose 257 - 644 = -109*t + 485. Calculate the lowest common multiple of t and j(2).
8
Let i(a) = -2*a**2 + 22*a + 2. Let s be i(12). Calculate the common denominator of -14/11 and (s/4)/((-3)/(-2)).
33
Let l = 40 - 49. Let o(j) = 2*j**2 + 16*j - 6. Let s = 57 + -39. What is the smallest common multiple of o(l) and s?
36
Let q = -8509/28 - -2145/7. Find the common denominator of 53/63 and q.
252
Calculate the common denominator of 266/132 - (-14)/(-77) and (-213)/99 - -2 - 2.
66
Suppose 0*d + 4*d = 2*m + 26, -9 = 4*d + 5*m. What is the lowest common multiple of d and 544?
544
Suppose 56 + 30 = 2*z. Let v = 51 - z. Calculate the lowest common multiple of v and 16.
16
Calculate the least common multiple of 174 and 120/(-16)*(-7)/(70/8).
174
Let d = 2/2927 + -46882/73175. Let b = d - 1679/150. What is the common denominator of b and 45/44?
132
Let x = -349/6 - -40. Find the common denominator of x and (-35)/(-6) + 4/18.
18
Let g(q) = -q. Suppose 0 = w + 6*w + 35. What is the least common multiple of g(w) and 3?
15
Let j(v) = v**3 + 10*v**2 + 8*v + 9. Let c be j(-6). What is the common denominator of -6*(-145)/c*(-1)/(-2) and -113/6?
42
Suppose -4*l - 192 = -7*l. Suppose -2*a + 48 = -l. Calculate the common denominator of 302/84 - (-32)/a and 28/5.
30
Suppose -3*r - 48 = r + o, -5*o = 3*r + 36. What is the common denominator of (-23)/r*9/15 and 2/((-2)/3) + 2921/(-138)?
60
Let b be (9/(-18))/(2/12). Let q be 6/b + 57*-17. Let z = q - -19459/20. Calculate the common denominator of z and 107/12.
60
Let m = -53879/11140 - 15/1114. Calculate the common denominator of m and -13/298.
2980
Suppose h = -3*l + 8, 4*h - 1 = 3*l + 1. Suppose -2*c = -2*g + 18, 5*g - 2*c = -7*c + 95. Calculate the least common multiple of l and (6/8)/(g/112).
6
Suppose -3*r = -5*u + 1488, 5*u - r + 5*r - 1516 = 0. What is the smallest common multiple of 160 and u?
2400
What is the smallest common multiple of 188 and (44/(-110))/(2/(-100))?
940
Suppose 0*i - 803 = 2*f + i, -3*f - 2*i = 1202. Let v = 3/137 + -1811/1370. Calculate the common denominator of f/6*(-3)/(-44) and v.
110
Let n = 0 - 12. Calculate the lowest common multiple of 6 and -3 + 16/n*-9.
18
Let q = -105538653/4202200 + 2/21011. Let o = 756/25 + q. Find the common denominator of -53/2 and o.
8
Suppose 2*p - 60 = 5*w, -189*p - 4*w - 104 = -192*p. Suppose -5*q + 3*r + 51 = 0, q + 3*r + 39 = 5*q. What is the least common multiple of q and p?
120
Let s be 3*-1 + (-2373)/(-784). Let c = s - 591/112. Calculate the common denominator of -53/49 and c.
196
Let g = 2465/4 - 3653/6. Calculate the common denominator of 41/72 and g.
72
What is the common denominator of 130/14 + (-888)/148 and 37/645?
4515
Suppose -6 = 2*g - 8*g. What is the lowest common multiple of 33 and g?
33
Let i = -28 + 4. Let a = i - -27. What is the least common multiple of 9 and a?
9
Let s be 2 - -1*(4 - 1). Suppose 195 = 5*f + s*l, 2*f - 5*l - 77 = -6. Suppose 5*h = 3*h + f. What is the common denominator of 121/12 and h?
12
Let a = 1267 - 1170. What is the smallest common multiple of a and 15?
1455
Suppose 9 = -3*z, 2*k = -2*k + 5*z + 35. Let f = 1 + k. What is the smallest common multiple of 14 and f?
42
Let y be 1*7*31226/(-65). Let l = -3375 - y. Let i = -3/85 - 354/85. What is the common denominator of l and i?
5
Let l be 2 + (-12554)/(0 + 1). Let o = 5031419709/400688 - 346/25043. Let r = o + l. Find the common denominator of r and -25/8.
16
Suppose -6*x - 195 = -39. Find the common denominator of -22/15 and x/91 - 2062/84.
30
Suppose -3*o - 5*w = -2*o - 2, -o = -2*w - 2. Let h(c) = -8*c**3 + c + 1. Let t(n) = -n + 5. Let m be t(6). What is the smallest common multiple of o and h(m)?
8
What is the common denominator of (2/20)/((-16)/355) and (-226)/(-565)*82/(-16)?
160
Let z = 28 - 38. Find the common denominator of (273/(-49))/(z/7) and 6/5.
10
Suppose 5*f - f - 12 = 0. Suppose 4*t - 102 = -2*t. Suppose -3*n = 3*w - 27, t = -0*n + n + 5*w. What is the lowest common multiple of n and f?
21
Suppose 3*b = 5*p + 2*b - 19, 23 = 5*p + 3*b. Suppose -v + p*v = 24. Calculate the least common multiple of v and 40.
40
Suppose -2*g + 27 + 13 = -3*h, -8 = -2*g - 5*h. What is the least common multiple of 2 and g?
14
Let o = -3666 + 69672/19. Let l = o - -255/152. Calculate the common denominator of l and 70/3.
24
What is the common denominator of 29/232*(-1 + 8) and 665/(-180) - 2/8?
72
Calculate the common denominator of (-39)/2 - 2/2 and -39 + 47 + (-182)/40.
20
Let g = 6/1063 - -4619/123308. What is the common denominator of 21/8 and g?
232
What is the least common multiple of (256/(-3))/((-128)/768) and 22?
5632
Let j(o) = 8*o**2 + 87*o + 13. What is the least common multiple of 24 and j(-11)?
24
Let p(v) = -2*v**2 - 2*v. Let i be p(-2). Let h = 8114/7 - 1161. Find the common denominator of i/4*(-4)/(-10) and h.
35
Suppose -27 = -11*b +