t z be 675604/(-182) - (25 + -21). Let n = z - -3716. Find the common denominator of n and -10/169.
1183
Suppose -4*m + 2720 = 4*p, -5*m = -5*p - 1750 - 1610. What is the least common multiple of 780 and m?
10140
Let m = 17 - 14. Suppose 4*g + 30 = m*n, -g = n - 4*g - 15. Suppose -y + 35 = 4*d - 61, -5*y - 5*d = -405. What is the smallest common multiple of n and y?
228
Suppose 40*y - 64*y + 37*y = 39. What is the smallest common multiple of y and 8?
24
Let a = 2718 + -1188. What is the lowest common multiple of 240 and a?
12240
Let q(t) = -3*t - 5319. Let c be q(0). Let g = c - -47920/9. Calculate the common denominator of 73/72 and g.
72
Suppose 0 = 6*v - 12*v + 114. Suppose -v*q + 22*q = 114. Find the common denominator of 61/24 and q/(130/25 - 2).
24
What is the common denominator of (-1)/(-96)*(-2006)/(-153) and 139/288?
864
Let c = -19796 + 19850. Calculate the lowest common multiple of 81 and c.
162
Suppose 0 = 2*j - p - 324, 14*p - 508 = -3*j + 10*p. Suppose 3*i - 4*q - 48 = -i, 0 = -i - 3*q + 28. Calculate the least common multiple of j and i.
656
Suppose 24255 = 5*d + 5*w, -3*d - 83*w + 14518 = -85*w. What is the smallest common multiple of 168 and d?
29064
Let v = 29464559/252 + -116923. Calculate the common denominator of v and -67/9.
252
Suppose 3*p + 13 = -d, 0 = 28*p - 23*p - 4*d - 1. Let y be 0 + 115 - (-1 + -1). Find the common denominator of p + 0 - y/(-20) and -19/20.
20
Let h = -535633/6 - -88753. Let t = 12497/24 + h. What is the common denominator of t and (870/16)/(((-162)/8)/3)?
72
Let x = -7198 - -7714. Calculate the least common multiple of 10 and x.
2580
Let c be (-63112)/40 + 6/24. Let y = -1576 - c. Calculate the common denominator of y and -105/22.
220
Let l = 132 + -99. Suppose -u - 3*u + 371 = -c, 0 = 5*u - 3*c - 455. Suppose -5*t + i + 30 + u = 0, t - 44 = 5*i. What is the lowest common multiple of t and l?
264
What is the common denominator of 53110/50850 - 17/(-5) and (32/18)/((-51)/(-18))?
153
Let i(j) = j**3 + 9*j**2 - 31*j. Let f be i(-13). Let t = -255 - f. What is the least common multiple of t and 24?
72
Suppose 3*c + 8997 = 4*u, 5*u = -0*c - 5*c + 11255. Suppose 0 = 4*a + a - u. Calculate the common denominator of (-2275)/a - ((-10)/6 - -2) and 73/18.
18
Let l(b) = 4*b**3 + 24*b**2 + 23*b - 6. Suppose 2*c - 4*c = -4. Suppose 0 = c*j - 42. Calculate the least common multiple of l(-3) and j.
231
Let d be 5/4*20/(-1). Calculate the common denominator of 6/(-14) + 19320/(-882) - -9 and ((-26)/(-4))/(d/40).
15
Let f(a) = -55*a + 49. Let n be f(5). Let j = -58 - n. Suppose -4*q + 0*q + 8 = 0. What is the lowest common multiple of j and q?
168
Suppose -7*n + 12*n - 4*j = 21, -4*n = -j - 19. What is the lowest common multiple of n and 140?
140
Let p = 3367 + -3205. Calculate the least common multiple of 69 and p.
3726
What is the common denominator of -97/6 and (-15)/(5027670/(-19968)) - (-2)/(-27)?
12414
Let p(c) = -2*c**2 + 16*c - 23. Let b(f) = 27*f**2 + 2*f - 6. Let z be b(-3). Let n be 2/4 + z/42. Calculate the smallest common multiple of p(n) and 1.
1
Let j be -1*(-29)/9 + 2/(-9). Suppose 5*x - 4*i - 7 - 12 = 0, 5*i = -j*x + 4. Calculate the lowest common multiple of x and ((-4)/3 + -2)*-3.
30
Let f be 80/280 - (-8318)/(-7). Let h(z) = -z**3 - 3*z**2 + z. Calculate the common denominator of (-2)/(-3)*f/288 and h(2).
4
Find the common denominator of 7 - ((-7)/2 - (-90220)/8597) and -77/2.
17194
Find the common denominator of -63/1142 and ((-128)/(-28))/8 - 136/896*124.
2284
What is the common denominator of (-29)/((-81693)/(-864))*3/(81/(-2)) and -9/4?
11268
Let p(y) = -y**2 - 11*y + 6. Let j be p(-5). Calculate the common denominator of (j/(-46) - -1) + 1 and 33/(672/320*-2).
161
Let g be (2 - 39/24)*(-2214564)/(-121). Let j = g - 6859. Calculate the common denominator of ((-12)/(-18))/((-24)/333) and j.
44
Suppose -3*x - 1116 = x. Let s = -1915 - -1927. Calculate the common denominator of -55/8 and 4/18*x/s.
24
Let f(i) = 16*i + 32. What is the least common multiple of f(15) and 1870?
14960
Let n = -192277423/570 - -337329. Find the common denominator of n and -111/950.
2850
Suppose -53*t = -49*t - p - 3031, -p = -5*t + 3787. Calculate the least common multiple of 32 and t.
6048
Let y(c) = -c**2 + 9*c + 93. Let o be y(10). Suppose -o = 3*m - 224. What is the least common multiple of 9 and m?
423
What is the common denominator of -25/114 and (-22)/(-3572)*(-70)/(-182)*13?
5358
Let x(n) = -2*n**3 - 8*n**2 - 15*n - 15. Let k(y) = 14*y - 2. Let r be k(1). Let h be x(r). Let l = 72007/15 + h. What is the common denominator of l and 10/9?
45
Suppose 4*s + 2*s = 126. Let h = 29 - s. Suppose -h*n = -4*n - 72. Calculate the smallest common multiple of 16 and n.
144
Let n = 28 - 28. Suppose n = -4*r - 2*z + 148, -3*r + 0*r + 3*z = -129. Let l = r + -35. What is the smallest common multiple of l and 10?
20
Let x(n) = -5 - 2*n**3 - n**3 + 10*n**2 + 4*n**3 - 10*n + 14. Let f be x(-11). Calculate the common denominator of -83/18 and (195/(-10) + f)/1.
18
Suppose -i = -4, 4*i - 17 - 6 = -w. Calculate the common denominator of -37/144 and 1/18*-118*w/14.
144
Suppose 160 = -143*y + 147*y. Calculate the common denominator of (15/y - 0)/(18/(-1096)) and 53/11.
66
Let j = -40/58541 - -1889059769/351246. Suppose -u + 26800 = 5*a, -3*u - 3961 = -3*a + 12119. Let g = j - a. Calculate the common denominator of g and -41/11.
66
Let p(f) be the third derivative of f**4/12 - 8*f**3/3 + 5*f**2. Let r be p(11). Let t = 8 + r. What is the lowest common multiple of t and 70?
70
Let h = 19/1954 + 112097/127010. Find the common denominator of (-1 - 45)*(-2)/(-12) and h.
195
Suppose 3*x - 3*z - 6 = 0, z - 5 = -2*x + 4*z. Let a be 3/x - (6 + 3). What is the common denominator of 212/a*(-14)/196 and 79/18?
126
Let a = -117/49 - -3356/441. Let g = 955877048767/509674886160 - -3/99643184. Let t = -24/155 - g. What is the common denominator of t and a?
99
What is the least common multiple of (-11850)/(-375) - (-24)/(-15) and 800?
2400
Suppose -85*r = k - 84*r - 40, 5*k + r = 216. Suppose 4*j - 14 = g, 4*g + 0*g + 4*j - k = 0. What is the smallest common multiple of 146 and g?
438
Let b be (-2)/(-4) + (-75)/(-10). Calculate the smallest common multiple of (3/(-6))/((-2)/b) and (-177)/(-9) + 390/1170.
20
Let p = -6 - -87. Let s be (3/9)/(3/p). Calculate the smallest common multiple of s/4 - (-6)/(-24) and 11.
22
Let i = -70061/58 + 4831/4. Calculate the common denominator of -109/986 and i.
1972
What is the common denominator of -17/30 and 126/(-8)*(-225)/14850?
1320
Suppose 16 + 80 = 4*b. Suppose 8*j - 1260 = -468. What is the least common multiple of j and b?
792
Let q = -48341 - -2320223/48. What is the common denominator of 115/1792 and q?
5376
Suppose -20 = -4*c - 5*m - 5, 26 = 5*c - m. Suppose n = 5, -c*d + n + 4 - 39 = 0. What is the common denominator of 130/72 + 2*d/54 and -29/8?
24
Suppose 0 = -3*o - 2*i + 303 - 43, -o + 4*i = -68. Let g = -43 + 47. What is the smallest common multiple of o and g?
84
Suppose 893*r = 913*r - 100. What is the smallest common multiple of r and 7714?
38570
What is the common denominator of -56/333 and 11075/(-444) - -28 - (5 - 2)?
1332
Calculate the least common multiple of (-28)/32*-24*9 and 56.
1512
Suppose -n + 6 + 39 = 0. Let l = 177 + -161. Suppose -6 = -2*d, l + 36 = b + 4*d. Calculate the least common multiple of b and n.
360
Suppose 0 = -10*o + 15*o - 10. Suppose -3*h - s = h - 26, 0 = -o*h - 2*s + 16. Calculate the common denominator of h/(-40) - (-22)/55 and -14.
4
Let b = -5 - -11. Let d(t) = t**3 - 52*t**2 + 54*t - 144. Calculate the least common multiple of b and d(51).
18
Calculate the smallest common multiple of 168 and (9 + -12)*(-38 - -10).
168
Let n = -859 + 862. Suppose -3*r - x = -56, 0*r + r + 3*x - 32 = 0. Calculate the least common multiple of n and r.
51
Let x = -157579/34 + 2101049/204. Let j = -5661 + x. Find the common denominator of -131/1134 and j.
2268
Let k = -325229/2954448 - 1/26379. Let w = 1/21 + k. Let v = 14063/4 - 3538. What is the common denominator of w and v?
16
Let x = -253939/50 - -25383/5. What is the common denominator of x and (-35)/500*(3 + (-4)/(-4))?
50
Let q = -79 + 54. Let v = -12 - q. Calculate the least common multiple of 16 and (-725)/(-65) + -3 