1*a + 25. Let z be m(-23). What is the lowest common multiple of 40/12*(-324)/z and 2?
12
Suppose 5*f - 65 = x, 0 = 2*f - 21*x + 24*x - 26. Let k = 46 - 33. Suppose k*i - 8*i - 50 = 0. What is the least common multiple of f and i?
130
Let t(m) = -2*m**3 + 8*m**2 + m - 4. Let r be t(4). Suppose 5*z + 4*n = 274, -n = -5*z - r*n + 269. What is the lowest common multiple of 6 and z?
54
Let y = 329/1326 - 272713/762450. What is the common denominator of y and -30/161?
4025
Let z = 65 - 54. Suppose 10*g - 3 = z*g. What is the least common multiple of 1 and (-18 + (-1 - 4))*g?
69
Let d = -1487/1460 - 141/73. What is the common denominator of d and 83/20?
20
Let z(o) = -19*o + 4. Let i be z(3). Calculate the common denominator of ((-7 - (5 - 10)) + 7)*(-9)/1386*-49 and i/((1 + 0)*10).
110
Calculate the common denominator of (-171)/(-133) - (-1315)/(-70) and 59/15194.
15194
Let w be (2 + 372/(-24))/((-3)/(-8)). What is the smallest common multiple of (-70)/(-9) - (-4)/18 and 5/(-20)*w + -2?
56
Let h be -3 + (2 - 508/(-3)). Let g = -27769/165 + h. Calculate the common denominator of -58/33 and g.
165
Calculate the least common multiple of (-69 + 7)*18*(-8)/6 and 528.
16368
Let m = 87 - 211. Find the common denominator of -67/4 and (108/528)/(1 - (-118)/m).
44
Suppose 6 - 49 = -3*m - v, -7*v = 2*m - 35. What is the least common multiple of 4608 and m?
32256
Calculate the common denominator of -4 - 2999/288*(-189)/504 and -55/39.
9984
Calculate the common denominator of 3*(-80)/(-48) + (1112/(-30))/4 and -58/183.
915
Let s = -7308179/10 + 730233. Let i = -1688955/2876 + 6/719. Let q = i - s. What is the common denominator of q and 43/20?
20
Let h be ((-16)/6)/(-4)*-1185. What is the common denominator of 74/(-80) + 158/h and 4/6*2/(-4)?
24
Let k = 17625962565780220/357 - 49372488084137. Let l = 43922890 + k. Let q = l + -4225/7. What is the common denominator of -67/12 and q?
204
Let a = 1578 + 122. Let g be (-2)/(-5)*a/48. Let q = g + -11/3. What is the common denominator of 91/4 and q?
4
Let y(a) = a + 20. Let x be ((-6)/(-7))/(0 - 2/42). Let g be y(x). Find the common denominator of 46/(-24) - ((-5)/g + 2) and 69/22.
132
Find the common denominator of 43/3*(-3 - (-189)/64) and 187/40 + (-56 - -51).
320
Let i = -2650 + 29189/11. Let w(p) = 4*p**2 + 11*p + 25. Let l be w(-8). Suppose 4*g - u = 2*u - l, -g - 2*u = 40. What is the common denominator of i and g?
11
Let t(c) be the second derivative of c**4/3 - c**3/6 - 6*c. Let x be t(-4). Let v = 467/7 - x. Find the common denominator of v and 69/10.
70
Let f = -6969 + 7404. Calculate the least common multiple of f and 75.
2175
Let c = 143 - 372. Let x = c - -264. Calculate the lowest common multiple of 8 and x.
280
Let j = 47 + 4. Suppose x + 4*u = -4*x + 50, x - 3*u = -9. Calculate the smallest common multiple of -2 - ((-28)/3 + (-34)/j) and x.
24
Let z(h) be the first derivative of 17*h**2 + 40*h - 254. Calculate the smallest common multiple of z(-1) and 2/4 + (-39)/(-2).
60
Suppose 13 = -j, -27*v + 25*v + 2*j + 3*j + 245 = 0. Calculate the least common multiple of (1 + -8 + 1)*-9 and v.
270
Suppose 0 = -5*c + c + 184. Let q = 22409 + -22373. Calculate the lowest common multiple of q and c.
828
What is the common denominator of 131/1400 and 2/(3920/1902) + 20/(360/(-18))?
9800
Let h(w) = -21*w + 1539. Suppose -3*k + 380 = 3*j + k, 250 = 2*j + 2*k. What is the least common multiple of h(67) and j?
1320
Let c = -918 - -34. Calculate the smallest common multiple of (-5408)/c + 2*2/(-34) and 8/(-6)*42/(-4).
42
Let a be (-1 - 2540/(-54))*(-111)/(-296). Let v = 147/8 - a. Calculate the common denominator of 13/3 and v.
9
What is the common denominator of 89/344 and 186/44 + -11 + 276/24?
3784
Suppose 4*n + g + 20 = -0, n - 4*g = -5. What is the least common multiple of 0 + 4 + n + 67 and 60?
660
Let j = 431 + -421. Calculate the common denominator of -9/35 and 14/j - 36/54.
105
Suppose 8*c + 1517 - 2989 = 0. What is the smallest common multiple of 138 and c?
552
Let x = -4474 - -1118457/250. Find the common denominator of -107/40 and x.
1000
Calculate the common denominator of (-276)/45 - (-1)/2 and (-289)/65 - 78/130 - (-5 - 0).
390
What is the common denominator of ((-1)/4)/((-109306)/(-172)) and 15/82?
2542
Let f be -5*(-56)/20*-1. Let n be (101224/14)/((-18)/f). Let i = 5629 - n. Find the common denominator of i and -13/3.
9
Let i = 13/63454 - 27552075/63644362. Let y = i + -30/59. Let j = 1199 + -9575/8. Calculate the common denominator of j and y.
136
Let w = -18 + 23. Suppose w*f - 418 = 17*t - 21*t, 4*t - 5*f = 398. Calculate the smallest common multiple of t and 14.
714
Suppose -8*d = -2 - 22. Calculate the smallest common multiple of 4/((-16)/(-428)) - -4 and d.
111
Let q = 4/901 + 11153/126140. Calculate the common denominator of 1206/72*(-1)/(-10) and q.
280
Suppose -2*i + i = 0, 2*i = 4*m - 1680. Calculate the common denominator of 50/m*27/(-2) and (-18)/60*(-5)/18*82.
84
Let a = -432654989/957 + 452095. What is the common denominator of 123/110 and a?
9570
Find the common denominator of (-8 - 106464/(-13248))*117/(-70) and (-4)/6 + (-35)/(-18).
5796
Let d be 5*158/(-15)*-6. Calculate the common denominator of 4140/(-216) - (3 + 0) and -4 + d/(-24)*1.
6
Suppose -7 = -v - 4*f + 38, f + 20 = v. Suppose 9*a - v = 29. Suppose -2*r = -4*l - 6 + 48, -5*l + 30 = 5*r. Calculate the least common multiple of l and a.
18
Find the common denominator of ((-1860)/(-80))/(0 + (-5)/2) and -1*2/22*490/196.
110
Suppose 31*o - 3 = 30*o. Let m be 2/8 + ((-54)/(-8) - o). Suppose -4*n - 4*h + 104 = 0, 3*h + 76 = m*n - 0*h. What is the smallest common multiple of 20 and n?
220
Calculate the lowest common multiple of 9 + 232 - (1/(-1))/(2/12) and 741.
741
Let d(s) = -s**3 - 10*s**2 - 17*s + 6. Suppose 12*m - 260 = -92. Calculate the least common multiple of d(-8) and m.
14
Let s(c) = 8*c + 11. Let w(t) = -15*t - 23. Let d(z) = -11*s(z) - 6*w(z). Let b = 3792 + -3799. Calculate the lowest common multiple of d(b) and 8.
24
Let p = -12959 + 64843/5. Find the common denominator of p and -113/18522.
92610
Suppose -3009 = -17*b + 1887. Calculate the common denominator of 49/30 and ((-32)/112)/(b/(-238)).
360
Suppose 0 = 2*i + i - 144. What is the least common multiple of (53 + 3)*(-368)/(-161) and i?
384
Let b = -402 - -410. What is the smallest common multiple of b and 452?
904
Let x be (-1778)/792*522/(-252). Let d = x - 51/11. Find the common denominator of d and -71/30.
360
Let n be (-36)/30*(-5)/2 - -249. Suppose -32 + n = 10*k. Suppose 8*x - k*x = -84. What is the smallest common multiple of 8 and x?
24
Let a = -58 + 280. Let j = 292 - a. What is the lowest common multiple of 21 and j?
210
Calculate the lowest common multiple of (-2)/((-17993)/(-45220) + ((-8)/(-5) - 2)) and 2737.
21896
Calculate the smallest common multiple of 57 and (6/14)/(32/224).
57
Let p(k) = 2*k**3 + k**3 - 8 + 7*k - 15*k**2 + 20*k - 5*k**3 - 2*k. What is the least common multiple of p(-9) and 106?
530
Suppose -16*x = -8*x - 16. Suppose 88 = 2*z - x*o, 1 = 2*z + 3*o - 67. What is the smallest common multiple of z and 6?
120
Let p = -1704807/46 - -37061. What is the common denominator of 91/62 and p?
1426
Let b = 7448 - 44591/6. What is the common denominator of b and (-65)/(-91)*(-21)/18?
6
Let a(t) = 3*t**2 - 2*t + 2. What is the lowest common multiple of a(2) and 2/(-2) + 188 + ((-6)/2)/(-1)?
190
What is the common denominator of 35/152 and ((-30)/475*65)/8?
152
Let f = -272748503/522 + 522507. Calculate the common denominator of -13/84 and f.
7308
Let w = -11489/60 - -922/5. What is the common denominator of w and -35/897?
3588
Let a = -429/8 - -52. Let i(h) = 37*h**2 - h - 2. Let k be i(-4). Find the common denominator of a and (-4134)/k + 4/22.
72
Let m = 178 - 123. Let h = 10/11 + 2391/44. Let b = h - m. Find the common denominator of 111/22 and b.
44
Let o be 1519/28 + 9 - (-1)/(-4). Let a = -59 + o. Suppose -2 = -4*h + 2. What is the smallest common multiple of h and a?
4
Let l = -949/14 - -530071/7826. Let z = l + 30587/17888. Find the common denominator of z and (1 + 5)*((-39)/(-30))/(-1).
160
Suppose 0 = k + 3*m - 7*m, -5*k - 3*m - 46 = 0. Let g = k - -26. Calculate the common denominator of -13/5 and g.
5
Suppose 0 = -2*b + 6 - 4