60
Let a = 398/141 - 73127/22560. What is the common denominator of a and 25/2?
160
What is the common denominator of (-198)/40 - 2/8 and (-1968)/352 - -1*2/4?
55
Let f(s) = -s**3 - s**2 + 5. Let q be f(0). Suppose -29 = -2*u + g, 0*u + q*u = -4*g + 79. What is the least common multiple of u and 24?
120
Calculate the common denominator of -71/288 and (-2)/(-18) + (-41415)/(-237600).
1440
What is the common denominator of -7 + 35/10 - 8 and -13/518?
518
Suppose 5*s + 20 + 5 = 0, 3*s + 14 = b. Let f = 45325 + -45315. What is the lowest common multiple of (b + 1)/2 + 6 and f?
30
Let j = 725504/1095 + 43/1095. Let t = j + -656. Calculate the common denominator of t and (2 + 1 + -4)*38.
5
Let y(c) = c**2 - 2*c + 5. What is the least common multiple of y(1) and 20?
20
Suppose -5*o + 10 + 10 = 0. Let s(a) = 7*a - 6. What is the lowest common multiple of s(o) and 6?
66
Let t = 31 + 47. Let x = 543 + -541. Calculate the least common multiple of t and x.
78
Let p = 10 - 9. Let l be 252/(-66) + (-2)/11. Let m = l - -10. Calculate the smallest common multiple of m and p.
6
Let k = -32 - -42. Suppose -6*y = -k*y + 16. Calculate the lowest common multiple of y and 9.
36
Find the common denominator of -52/115 and 45/1242*9/(-12).
920
Let w = -1931/210 + 484/35. Find the common denominator of -103/20 and w.
60
Let x = -1229 + 19675/16. Find the common denominator of x and 55/68.
272
Let f = 184420 - 1468113/8. Suppose h - 3607 = 4*m, 3*h + 2*h - 15 = 0. Let c = m + f. Find the common denominator of c and 99/2.
8
Let q be (-4 - -8) + (0 - 3535). Let h = q - -56565/16. Calculate the common denominator of h and (106/(-8))/((-10)/2).
80
Let t be (64 - -4)*1/2. Calculate the common denominator of 2225/306 - (-4)/t and (-58)/(-14) + 1/2.
126
Let s = 29331 + -5484920/187. Find the common denominator of s and -71/2.
374
Let l = -126 + 177. Find the common denominator of 13/76 and l/(-2)*(105/(-9))/7.
76
Let z(k) = -k + 10. Let j be z(10). Suppose -3*f = -3*s - j*f - 117, 124 = -3*s - 4*f. Find the common denominator of 42/(-20) + 24/s and 83/14.
70
Calculate the common denominator of (145/(-18))/(12/18) and -47/12.
12
Let d = 1104895/2172564 + 1/18729. What is the common denominator of 53/145 and d?
580
Let b be -5 + 2 + 4 - 61. Let y = -334 - -5359/16. Calculate the common denominator of y and (4 + -65)*3/b.
80
Let w = 0 - 3. Let r(l) = -2*l**2 + 2*l**2 - l**3 + 2 - 6*l**2 + 3*l**2. Calculate the smallest common multiple of r(w) and 12.
12
Suppose -j - 958 = j. Let x = j + 3397/7. Calculate the common denominator of x and (-61)/(-17) - (-12 - -9) - 4.
119
What is the common denominator of 4922/(-3220)*14/(-4) and -17/140?
140
Let w(d) = 4*d**3 + 12*d**2 + 7*d + 9. Let f be w(9). Let t be 2/6 + (-769515)/f. Let s = 1995/11 + t. What is the common denominator of -39/2 and s?
8
Suppose 0 = -7*h + 4*h + 54. Let b = 558 + -544. Calculate the smallest common multiple of h and b.
126
What is the common denominator of 4/(96/(-2478))*2/(-7) and -5/53?
106
What is the lowest common multiple of 12 and 14 + 1 - (19 - 20)?
48
Suppose 0 = -0*z + 2*z + 3*k + 16, 0 = -5*z - 5*k - 50. Let r = z - -24. Let q = 59 - 47. Calculate the smallest common multiple of q and r.
60
Let d = -12 + 20. Let s = 7/22 + 2/11. Find the common denominator of ((-114)/(-16))/(42/d) and s.
14
Suppose -50*p = -54*p + 48. What is the smallest common multiple of p and 84?
84
Let c(w) = -124*w - 27. Let v be c(12). What is the common denominator of -7/18 and (1/70)/((-4539)/v + -3)?
252
Calculate the least common multiple of 4 and -2 + 11 - (-47 + -217).
1092
Let i = 2/26935 - -323206/188545. Find the common denominator of ((-1)/3)/((-3)/59) and i.
63
Let i = 551 + -494. Calculate the lowest common multiple of i and 190.
570
Let q = 9/22 + -287/594. Calculate the common denominator of 73/24 and q.
216
Let j(u) be the first derivative of -2*u**2 - 20*u + 2. Let v(f) = f**2 - f - 10. Let s be v(0). What is the lowest common multiple of 10 and j(s)?
20
Let u = -4794 - -158218/33. Find the common denominator of u and 838/(-2095)*113/12.
330
Let k be 75*(-3 - 76/(-20)). Suppose 2*g - 90 = -5*q, -8*q + k = -3*q - 4*g. Suppose -j + q = 3*j. What is the lowest common multiple of 30 and j?
60
Let m be 8/6 - (-80)/30. Suppose -m*z + 4*y = -36, -2*z + 3*y = 7*y - 18. What is the smallest common multiple of 3 and z?
9
Suppose 6*l = 103 + 77. Let k = l + -59. Let n = 37 + k. What is the lowest common multiple of n and 2?
8
Let c(w) = 2*w + 3. Let b be c(-19). Let l = -24 - b. What is the lowest common multiple of 11 and l?
11
Let b(l) = 25*l**2 - 2*l + 1. Let i be b(1). Find the common denominator of ((-1)/4)/(33/i) and 50/16 + (4 - 5).
88
Let x = -525727404853904574923 - -19693748587335229055707117/37460. Let j = -40255303772 + x. Let v = j + -16/1873. Find the common denominator of -31/8 and v.
40
Let z(o) = 2*o + 3. Let b(g) = g. Let s(r) = 4*b(r) - z(r). Suppose -p + 4*p + 4*j = 29, -2*p + 4 = -5*j. What is the least common multiple of s(p) and 10?
110
Suppose -5*l + 278 = -2*q - 18, -3*l + 190 = 5*q. Calculate the smallest common multiple of l and 132.
660
Calculate the common denominator of -117/280 and (-89)/(-18)*87/58.
840
Let j be 16/(-8)*26/(-4). Suppose 0 = -4*f + 8, 0 = q - 0*q + 4*f - j. Calculate the smallest common multiple of q and 3.
15
Let j be (2 - 4)*(2 - 34). Let c = -16385/12 + 1372. What is the common denominator of c and 1 + (-3 - (-260)/j)?
48
Suppose 15*r - 29*r + 126 = 0. Let k(i) = 7*i + 0*i**2 - i**2 + i + 19. What is the smallest common multiple of 22 and k(r)?
110
Suppose 0 = 5*f - 5*g - 1280, -2*f + 512 = 4*g - 0*g. What is the smallest common multiple of f and 12?
768
Let x = 410 + -267. What is the common denominator of ((-2)/(-4))/(x/949) and 2/2 + 7/(-18)?
198
Let t = 5068763 - 1079641675/213. Let v = 42/71 + t. Find the common denominator of -47/10 and v.
30
Let f = -32/411 - 41629/9042. Calculate the common denominator of f and 163/126.
1386
Let k be ((-9)/28)/((-7)/(-6244)). Let q = k + 286. Let c = 1531/273 - -32/39. Find the common denominator of q and c.
7
Calculate the least common multiple of 4160/1040 - (0/(-1) + 0/(-1)) and (1 - -12) + 2 + -1.
28
Let p = -7023903919/962060 + 13/192412. Let r = p + 7293. What is the common denominator of -1/12 and r?
60
Let l(m) = 75*m - 810. What is the smallest common multiple of l(12) and 9?
90
Let r(p) = 3*p**2 - 4*p**2 + 22*p - 22*p - 1. Let t(n) = -n**2 + 12*n + 9. Let v(f) = -2*r(f) + t(f). Calculate the smallest common multiple of 21 and v(-12).
231
Suppose 25 - 93 = -2*m. What is the common denominator of -1 + -2 + m/28 and 2400/(-1408) - (-2)/(-8)?
154
Suppose 0 = 3*x + 3*m + 42, 0 = x + 4*m + m + 34. Calculate the least common multiple of 128/6 - (-3)/x and 3.
21
Calculate the common denominator of -41/77 and (-61)/42*(-3 + 2).
462
Let s = -349 - -457. What is the least common multiple of 60 and s?
540
Let c = -1/16 + 139/48. Find the common denominator of c and 121/18.
18
Let v = -3 + 5. Suppose -5*t + 38 + 72 = 0. What is the lowest common multiple of t and (2 - -4) + (-2 - v)?
22
Let h be (1/(-5)*4)/((-6)/18585). Let y be 1 + ((-24883)/(-10))/(-1). Let i = y + h. Calculate the common denominator of i and 49/5.
10
Suppose a = 5*g - 6, 10 = 5*a - 10*a + 5*g. Let y = a - 1. Calculate the common denominator of 81/20 and 2 - 206*y/(-80).
20
Let y be -3 + (-1)/((-1)/(-113)). Let s = -523275/5782 - -2/2891. Let j = s - y. What is the common denominator of 13/8 and j?
8
Let y(u) = u**3 - 9*u**2 + 9*u - 2. Let x be y(7). Suppose -3*z + 561 = 8*z. Let h = z + x. Calculate the smallest common multiple of 18 and h.
126
Let b = 779135/16 - 48678. Let i = b - 31/2. Find the common denominator of 142/20 + (11 + -16 - -2) and i.
80
Let k = 1593/2 - 831. What is the common denominator of k and 65/162?
162
Let q be (0 + (-3)/4)/((-16)/896). Suppose -12*c + 19*c = q. Calculate the least common multiple of c and 10.
30
Suppose -p + 79 + 65 = 0. Let d = -1320 - -1330. Calculate the smallest common multiple of d and p.
720
Let o = 2193 + -1768. What is the lowest common multiple of o and 11?
4675
Find the common denominator of -23/27 and 376/(-90) + 15/(-25).
27
Let n be -4 - (-2)/2 - -2768. Let w = n - 74665/27. Find the common denominator of 1