. What is the common denominator of 77/18 and l/(-25)*(-235)/(-22)?
198
Let h = -55/732 - -19/1403. What is the common denominator of h and 71/3?
276
Let p(f) = 3*f**2 + 7*f + 6. Suppose 2*l + 16 = -2*l. Let g = -79 - -84. What is the least common multiple of g and p(l)?
130
Let z(w) = -5*w**2 + 4*w - 7. Let x(o) = -4*o**2 + 5*o - 8. Let h(y) = -3*x(y) + 2*z(y). What is the smallest common multiple of 14 and h(2)?
28
Let y = -9 - -18. Let x(d) = 8*d + 2 + 10*d - d**2 - y*d. Calculate the lowest common multiple of x(8) and 16.
80
Let y = 4899/440 + -1/110. Calculate the common denominator of y and -47/16.
16
Let z(a) = a**3 + 6*a**2 + 6*a + 6. Let f be -2 - (-4 - (0 + 1)). Suppose f*n - 26 + 2 = 0. What is the least common multiple of z(-4) and n?
56
Let x = -18141 + 435469/24. Find the common denominator of 1 + (-1 - (-34)/88) and x.
264
Suppose -40 = 25*m - 30*m + 3*f, -4*f = -20. What is the smallest common multiple of 75 and m?
825
Let h = -694/27 + 1751/54. Find the common denominator of (-56)/24*3/10 and h.
90
Suppose -5*x + 3*x + 312 = 0. Let t = -947/6 + x. Find the common denominator of t and -43/12.
12
Suppose 0 = 4*w + n - 29, 3*w + 12 = -n + 34. Let m = 12 + -8. Suppose -5*q = -0*d + 5*d + 5, 0 = d + m. Calculate the smallest common multiple of q and w.
21
Let o(j) = 15*j - 69. Calculate the smallest common multiple of 146 and o(5).
438
Let m = 34 + -22. Let d be ((-15)/45)/(2/(-18)). Suppose -7*w = d*w - 100. Calculate the least common multiple of m and w.
60
Let c(b) = 768*b + 3847. Calculate the least common multiple of 2 - 0/(4/(-2)) and c(-5).
14
Suppose -3*n + j = 3*j + 4, 5*j + 33 = 4*n. Let z = -21/239 + -8851/2629. What is the common denominator of -4 + n + (-33)/(-4) and z?
44
Let m = 879 - 353. Let t be 2 - 8356/(-16) - 2. Let f = m - t. What is the common denominator of f and 43/30?
60
Let t(i) = 4*i + 2. Let g be t(-1). Calculate the lowest common multiple of 2 and (g - 1)/(-6 - (-135)/24).
8
Let s = 2 + 28. Let p = s - 18. What is the lowest common multiple of 28 and p?
84
Let w = -25169/6 + 4174. What is the common denominator of 21/11 and w?
66
Let x(u) = -5*u - 7. Suppose -3*g - 27 + 6 = 0. Let d be x(g). Find the common denominator of 54/(-10)*7/d and -73/8.
40
Let z(m) = -m + 4. Let h(y) = 7*y**2 + 2. Let q be h(2). Calculate the lowest common multiple of (q/21)/(1/7) and z(-4).
40
Calculate the lowest common multiple of (-1)/2 + 21/((-210)/(-365)) and 8.
72
Let n = -101 - -53. Let g = 68 + n. What is the lowest common multiple of 16 and g?
80
Suppose 18 = 3*f - 9. Calculate the least common multiple of 6/f + 132/18 and 14.
56
Suppose 19*j + 45 = 273. Calculate the smallest common multiple of j and (48/(-20))/(1/(-5)).
12
Suppose -8*q + 7*q + 41 = 0. Let j = 74 - q. Let b = 35 - j. Calculate the smallest common multiple of b and 3.
6
Suppose 0 = 4*l + 6*i - 4*i - 36, -60 = -5*l + 5*i. Calculate the common denominator of -97/22 and 2 - 3/(-24)*(-1112)/l.
110
Let g(h) = h**3 - 7*h**2 + 7*h. Let z be g(6). Suppose 2 + 64 = z*x. What is the smallest common multiple of 9 and x?
99
Let i be 1*(-3)/((-1017)/(-60)). Let h = 54507852/16846379 + 438/13553. Let a = h + i. What is the common denominator of a and -111/10?
110
Let a(d) = d**3 - 10*d**2 + 19*d + 6. Let t be ((-12)/(-10))/(24/160). Calculate the smallest common multiple of a(t) and 30.
30
Let z(l) = -l + 14. Calculate the lowest common multiple of z(11) and 216.
216
Let p = 220 + -150. What is the common denominator of (-11 + 9)*-1*22/p and 40/11?
385
Suppose 27 = -5*c + 67. Suppose 3*b = 5*s - 49, 2*s - 33 = -s + 3*b. What is the least common multiple of s and (0 + 2)/(c/20)?
40
What is the smallest common multiple of 150 and (-18)/(-21) - (-1782)/126?
150
Let p = -264 + 303. Calculate the smallest common multiple of p and 6.
78
Let d(k) = k**2 + 2*k - 2. Suppose j = 1 + 3. Let m = -352 - -368. What is the least common multiple of m and d(j)?
176
Let o = 289 - 69. Suppose a = 3*k + 101, -5*k - 5*a + 25 = o. Find the common denominator of -37/10 and (189/k)/((-16)/(-10)).
40
Suppose -3*t - 63 = -5*x - 0*x, 5*x - t - 61 = 0. Let l = 12 - x. Suppose -3*a + a + 16 = l. Calculate the lowest common multiple of 6 and a.
24
Let s(x) = 13*x + 12. Let q be s(9). Suppose q = -n + 9. Find the common denominator of 4/10 + (-237)/n and -6/5.
40
Let d(x) = 6*x**3 + 2*x**2 + 2*x - 3. Let o = 15 + -14. What is the lowest common multiple of d(o) and 7?
7
Let q = 63725/166152 - -333/989. Find the common denominator of -95/28 and q.
168
Let h be (-18)/(-15)*(-55)/(-1). Suppose m - 1 = -0*m + 5*b, 0 = m - 4*b. What is the common denominator of m + ((-5211)/h)/(-9) and -51/20?
220
Suppose d + 192 = -2*d. Let z = d - -65. What is the lowest common multiple of 9 and z?
9
Let i be (-2 + -1)*(-77)/33. Suppose 0*o - i*o + 42 = 0. Calculate the lowest common multiple of 1 and o.
6
Suppose -3*k = -4*z - 15, 4*k + z = 3*z + 20. Find the common denominator of k/(-6)*11/5 and 12/(-24) - 60/(-16).
12
Calculate the least common multiple of 48 and ((-6)/15)/(22/(-1320)).
48
Let d be (2 - 3)/(2/30). Let u = 21 + d. What is the lowest common multiple of (-9 + 113)/4 + -3 + -1 and u?
66
Let k be 1*-1 - (-61175)/(-6). Let d = 10219 + k. Find the common denominator of d and -29 - -6 - 910/(-80).
24
Let m = -240851/17 + 14173. Let w = m - 2497/340. Calculate the common denominator of w and -37/4.
20
Suppose -g + 2 = -6. Let i(q) = -9*q**2 + g - 2*q + 2*q + 0 - q**3. What is the smallest common multiple of i(-9) and 5?
40
What is the common denominator of -59/60 and (-2)/(-2) + 0 + (-175)/126?
180
Let a be (-1853)/464 + (-36)/(-9). Let u = a + -7659/464. Calculate the common denominator of u and 79/8.
8
Let p(l) = -l**3 - 5*l**2 + 11*l + 4. Suppose 0 = -j - 3 + 8, 5*j = -3*t + 7. What is the common denominator of -65/24 and p(t)?
24
Calculate the common denominator of (0 + (-4)/30)*16185/156 and 65/334.
1002
Let v = 3437353522775503/1004615160 + -3096510599/905. Let d = v - -2/46253. Find the common denominator of d and 5/24.
24
Suppose -6 = -461*n + 459*n. What is the smallest common multiple of 18 and n?
18
Find the common denominator of 20/(-16)*49/15 and (3/105)/(4*(-2)/(-580)).
84
What is the lowest common multiple of (4/(-12))/((-38)/32718) and 2?
574
Let h = 508 + -248. Calculate the smallest common multiple of 286 and h.
2860
Let j be 1 - (3 - (0 + 4)). Let d = -10 + j. Let z(a) = -a - 2. What is the least common multiple of z(d) and 10?
30
Let q be -2 + 104 + (-1 - -3). Let l = -64 + q. What is the common denominator of (-363)/l - (-5)/(-40) and -15/8?
40
Suppose -47 = 3*o + 5*v - 6*v, -v = -5*o - 79. Let x = o - -42. Calculate the least common multiple of x and 6.
78
Let o = 5 + 0. Suppose 53 + 13 = 5*q - 4*c, o*c = -20. Let i(f) = -6*f + 150. What is the lowest common multiple of q and i(23)?
60
Let s = 2081/248 + -140/31. Find the common denominator of s and -111/820.
1640
Let h = -1266/169 + 2752103/368758. What is the common denominator of h and 89/22?
24002
Find the common denominator of (-2)/(-16)*250/105 and 53/36.
252
Let z = 658 + -2002/3. Let d = -1/5590 + -354947/100620. Calculate the common denominator of d and z.
36
Let c = 225 + 83. What is the lowest common multiple of c and 20?
1540
Let x be 1/34*23116/73549. Let s = x - 132667703177/18207349146. Let z = 3/5663 - s. Calculate the common denominator of z and -49/16.
144
Suppose 2*a + 2 = 6. Let i be 1/(-6) + 123/a. Let k = i - 64. Calculate the common denominator of k and 14/9.
9
What is the least common multiple of 6/4 + 1/(-2) - -3 and 6?
12
Let t be 7 - 3/(9/12). Suppose 5*a - 135 = -t*b, 0 = -3*a + 4*b + 100 - 19. What is the lowest common multiple of a and 6?
54
Let d(r) = -r - 4 + r**2 - 2*r - 6*r + 8 + 4*r. Let f = -15 + 22. Calculate the lowest common multiple of 12 and d(f).
36
Suppose 2*f + f = 2*d - 28, -2*d + 4 = 0. Let m be 6/f*(-1 + -3). Suppose 0 = m*j - 1 - 2. Calculate the smallest common multiple of j and 2.
2
Let w = 75185 + -92928665/1236. What is the common denominator of -125/18 and w?
3708
Suppose 3*s = -0 + 66. Let y = 52 - s. Calculate the least common multiple of y and 6.
30
Let m(a) = -2*a - 33. Let d(x) = -3*x - 65. Let w(q) = -3*d(q) + 5*m(q). What is the smallest common multiple of 66 and w(0)?