80
Let y = 432567/116 - 3729. Let o = 57318/13 + -4412. Let l = o - -1325/182. Calculate the common denominator of l and y.
812
Let z = -91 - -102. Suppose -z = 3*u - 65. Suppose 15*o - 14*o - u = 0. What is the smallest common multiple of 26 and o?
234
Let l(k) be the third derivative of k**4/3 + 7*k**3/6 - 8*k**2 - 4. What is the lowest common multiple of 51 and l(0)?
357
Suppose 4*d = 38 - 14. Find the common denominator of ((-6)/9)/(8/d) and 4/78*(-136)/32.
78
Let o = 1039 - 21817/21. Let n = -775 + 3838/5. Calculate the common denominator of n and o.
105
Suppose -4*h - 3*g = -5*h + 581, -g - 2947 = -5*h. Let o be -6*h + (10 - 5). Calculate the common denominator of o/(-300) - 4/(-30) and 101/6.
12
Let r be 37 + (-7)/((-21)/12). Suppose -r*j = -36*j. Suppose j = -15*m + 5*m + 150. What is the lowest common multiple of m and 4?
60
Suppose 0 = 129*p - 243*p + 126*p - 8880. Calculate the least common multiple of 24 and p.
4440
Let z = -131290 + 131302. Suppose j - 2*j - 17 = 0. Let f = -1 - j. What is the smallest common multiple of z and f?
48
Let w be (-35 + 22)/(1/(-981746)*-1). Let t = w - -4543524811/356. Let l = -54/89 - t. Find the common denominator of -77/20 and l.
20
Let a be ((-300)/21)/((-10)/35). Let l = -47 + a. Calculate the least common multiple of l and 12.
12
Let n = -20525 + 923698/45. Find the common denominator of n and -97/40.
360
Let s = -32 - -16. Let h = s + 24. Calculate the smallest common multiple of (-26)/(-2) + -4 - 1 and h.
8
Find the common denominator of 1175/1060 - (-2)/(-8) and (-1208)/(-32) - (14 - -6).
212
Suppose 0 = -16*v + 638 - 126. Suppose -2*u - f + 11 = -8, 26 = 3*u + 4*f. Calculate the lowest common multiple of u and v.
160
Let c = 15617/36 - 3902/9. Let b(n) = -n**3 + 11*n**2 - 9*n - 11. Let a be b(10). What is the common denominator of c and a + -1 - 138/(-40)?
20
Suppose 56516 = -4*a + p, -3*a - 27256 - 15148 = -5*p. Let n = a + 508499/36. Find the common denominator of n and -4 + 1 + 98/24.
36
Suppose -2*h - 123 = -5*f, 4*h - 1 = 3. Suppose -24*p + 865 = 289. Calculate the lowest common multiple of p and 0 + f - (3 - 2).
24
Suppose -65*o + 61*o + 4*g + 188 = 0, 0 = o - 4*g - 32. Calculate the smallest common multiple of 104 and o.
104
Let z = -336473/20 + 16829. Let l = -221 + 199. What is the common denominator of l + 27 + (-22)/28 and z?
140
Calculate the lowest common multiple of (-290)/(-15) + 42/63 and 36.
180
Let y(d) = -414*d - 4. Let f be y(-3). Let h be (-93201)/75 + 30/375. Let w = f + h. Calculate the common denominator of 39/8 and w.
40
Suppose 0 = 4*o - 232 + 196. What is the lowest common multiple of 60 and o?
180
Suppose -4*u - 85 = -1. Let x = -3 - u. What is the common denominator of (x/(-72))/((-1)/39) and 81/10?
20
Let f(t) be the second derivative of -t**3 + 3*t**2 - 5*t. Let c be f(-2). Suppose 3*k - 6 - c = 0. Calculate the lowest common multiple of 22 and k.
88
Suppose -63334 + 13802 = -148*q + 910692. What is the smallest common multiple of 32 and q?
25952
Let u = 64 - 571/10. Calculate the common denominator of u and 47/6787.
67870
Suppose 29*q - 31*q + 1762 = 2*m, 3*m = 5*q - 4381. Calculate the common denominator of ((-2)/4)/(27/417) and (-2)/3 - q*10/(-3000).
450
Let f = -2858/9 - -2220/7. Calculate the common denominator of 65/1953 and f.
1953
Let c = -618593/63 + 109451/9. Let r = 2337 - c. Find the common denominator of r and (98/(-46))/((-6)/(-3)).
322
Let a = -3117 + 193203/62. Calculate the common denominator of a and 57/22.
682
Let r be (-2)/(-2)*(15 - 7). Let i = r + -13. What is the common denominator of i/(-20)*276/10 and -63/20?
20
Let b = -17836681/127490556 - -1/310196. Calculate the common denominator of -33/28 and b.
11508
Let m = -1082/9 + 120. Let q be ((-62)/6)/(49/(-147)). Calculate the common denominator of m and (-2 - 3) + q*4/14.
63
Let a = 11542274257/3564 + -3238573. Find the common denominator of a and -149/36.
3564
Suppose 738 + 37130 = 107*p - 8142. Calculate the smallest common multiple of p and 301.
3010
Suppose -23*d + 21*d - 16 = 0. Let w = -23 - -37. What is the smallest common multiple of w and -3 + 2 + 11 + -10 - d?
56
Let g(k) = -k**2 - 3*k - 2. Let h be g(-2). Suppose h = -97*d + 95*d - 4. Calculate the least common multiple of 8 and ((-1020)/(-8))/17 + (-1)/d.
8
Suppose 20*s - 3*k = 23*s - 105, 0 = 4*s - 3*k - 112. Calculate the least common multiple of s and 301.
9331
Suppose -2*z = -2*g - 80, -3*z = -4*g - 165 + 4. Calculate the common denominator of g/6*34/(-170) and (-199)/(-18) - (-2)/(-9).
30
Let n = -2511/2000 + -9/2000. What is the common denominator of 17/40 and n?
200
Let d = -43 + 42. Let k be (18 + -16)*(d - (-2)/4). Calculate the lowest common multiple of (k + (0 - 0))*-21 - 0 and 21.
21
Let q = 41194/15 - 2745. Find the common denominator of q and 18980/(-7020) + (2 - -1).
135
Let x = -9 - -1. Let u = 2290 + -50389/22. Find the common denominator of (7/(-21))/(x/(-57)) and u.
88
Let j = -108 - -111. Suppose -t = -2*h + 2, j*t + 0 = 2*h + 2. Calculate the least common multiple of t and 7.
14
Let i be 0 + -21 - (2 + 2 - 1). Let q = i + -22. Calculate the smallest common multiple of 2 and q/(-6) + (-84)/18 + 5.
8
Find the common denominator of (-9 - -1) + (-11 - 8041/(-429)) and 68/39.
39
Let q = -9826 - -9966. Calculate the lowest common multiple of q and 17.
2380
Let z(t) = -2*t - 114. Let r be z(-28). Let o = -48 - r. Calculate the least common multiple of o and 20.
20
Let b = 22447 + -22027. What is the lowest common multiple of 2016 and b?
10080
Suppose 3*j = 4*q - 330, 17*q = 21*q + 5*j - 282. Calculate the smallest common multiple of q and 1677.
3354
Suppose 5*w - 4*w = -38. Let v = -2844 - -39793/14. Find the common denominator of (-49)/21*(w/(-8))/1 and v.
84
Let i be (-10)/5*(-22)/(-194). Let n = i - 7293/776. Calculate the common denominator of -73/39 and n.
312
Let p = -46 + 122. Let t(y) = -2*y**3 + y**2 + 5*y + 8. What is the least common multiple of t(-3) and p?
1064
Let a = -8991/4 - -2235. Suppose -2*k - 3*p = -2459, -2*k - 5*p + 2501 = 40. Let w = 3650/3 - k. Calculate the common denominator of w and a.
12
Let g(i) = -i**2 + 71*i - 901. Calculate the lowest common multiple of g(18) and 8.
424
Suppose 0 = -a - 40 + 10. Suppose -40*r + 20*r = 1840. Let f = a - r. Calculate the smallest common multiple of f and 20.
620
Let w(d) = -6 + 16 - d + 2*d. Let n be w(-4). Find the common denominator of 155/42 and n/16 + (-35)/21.
168
Let c = -9756 + 116921/12. Let j = -436/7 - -4987/84. What is the common denominator of j and c?
12
Let a = -65332 - -4181333/64. Find the common denominator of 10/(-56)*(-177)/(-15) and a.
448
Suppose 0 = 71*z - 135*z + 384. Let v(d) = -d**3 - 5*d**2 + 3*d + 5. Let m be v(-4). Let f = -7 - m. Calculate the smallest common multiple of z and f.
48
Find the common denominator of (0 + ((-659)/(-660) - 1))/((-2106)/(-110916)) and 149/1782.
8910
Let a(x) = 7*x - 9. Let i be a(-1). Let v be 48/((-9)/(-12) - (-4)/i). Find the common denominator of 49/6 and (-954)/v*(-4)/18.
24
Suppose 4*h - 48 = 4*z, -4*h + 15 = 5*z - 33. Let y = -176111 - -176243. Calculate the lowest common multiple of h and y.
132
Suppose t + 21 = -4*v, 2*v + v = 3*t + 138. Let i = 183 - t. Calculate the least common multiple of i/18 + 4/(-9) and 6.
12
Let t be -9 - -5*(-2)/(-5). Calculate the common denominator of -121/72 and (-2)/t - 801/(-4032).
576
Let b be 515/25*(-468 + 0). Let k = -9593 - b. Let d = k + -2893/60. What is the common denominator of d and -7/4?
12
Let z(b) = -b - 2. Suppose 3*a + 290 = -5*x, a - 154 - 116 = 5*x. Let c = 71 + x. What is the smallest common multiple of z(-4) and c?
16
Let n(y) = 2*y + 30. Suppose -i - 30 - 4 = 5*d, -5*i - 30 = 5*d. Let z be n(d). What is the smallest common multiple of 4/(z/(-6))*(15 + -17) and 3?
3
What is the common denominator of -2 + (406/(-252))/(9/14*-1) and -56/261?
2349
Calculate the common denominator of 52/285 and ((-27)/18 - -9)/(-9).
570
Suppose 0 = -4*y - y + 100. Suppose 3*f - 2*p = -1560, -4*p - 599 = -2*f - 1631. Let u = f - -526. What is the lowest common multiple of u and y?
20
Let o = -18 - -21. Suppose o*u = 14 + 298. Calculate the lowest common multiple of u and 4 + -1 + 3/(-3).
104
Let c = -6/433 - -21235/1299. Let y be ((-420)/7)/(-5)*(-5)/(