multiple of (160/(-48))/(12/(-9288)) and 20?
2580
Suppose 0 = -2*n - 3*y + 369, -67*n = -62*n - 5*y - 985. What is the smallest common multiple of 96 and n?
192
Let t(a) = -43*a - 4. Let m be t(-3). Suppose r - 3*j = -m, -3*r + 2*j = -3*j + 379. What is the common denominator of 34/3 and 3/(-6)*r/40?
15
Suppose -20*u + 610 - 150 = 0. Suppose -5*h - 78 = -4*k, 0 = 2*k - 3*h - 61 + u. What is the lowest common multiple of 336 and k?
3696
Let q = 49474 + -49458. Let m(c) = c**3 + 9*c**2 + 7*c - 1. Let k be m(-8). Suppose -3*o + k = 1. Calculate the lowest common multiple of q and o.
16
Find the common denominator of -55/8 and (272/(-92)*(-19)/38)/(-4).
184
Let t = -2653 - -2656. Calculate the smallest common multiple of 104 and t.
312
Let j = 111399 - 1225420/11. Let h(w) = 69*w. Let y be h(1). Find the common denominator of j and (y/7 - 2) + 0.
77
Let r = 7681 + -23056/3. Let n(f) = -f**2 + 2*f + 6. Let a be n(5). Find the common denominator of r and (-194)/60 - 6/a.
30
Let l = 29 + 12. Suppose l = 11*u - 3. Calculate the least common multiple of u and 83.
332
Suppose 5*d + 7941 = 8*d. Let t = 8820909 - 158728729/18. Let s = d - t. What is the common denominator of s and 67/4?
36
Let i = 11699 + -11573. Calculate the lowest common multiple of 186 and i.
3906
Suppose 2*o + 311 = 5*s, 5*o + 2*s + 438 = 2*o. Let u be o + (-3 - -10 - 3). Find the common denominator of (u/15 - -1)*(-5)/(-2) and 76/3.
6
Let y be 118/(-4) + 5/10. Let m = 25 + y. Calculate the common denominator of 7/2 and (-2 + (-14)/(-6))/(m/(-46)).
6
Let m be 0 - ((-38070)/35 - 7). Let t = -1092 + m. What is the common denominator of t and 81/56?
56
Let v be 8/(-28) - 920/14. Let m be -4*(v/(-8) - 5). Calculate the common denominator of 15/8 and (1 - m/(-15)) + 312/(-180).
40
Let v = 350/59 + -4117/1062. What is the common denominator of 77/35808 and v?
107424
Let r be 2/(-15) + (-6241534)/3120. Let b = -3981/2 - r. Find the common denominator of -121/10 and b.
40
Suppose -4*m = -5*y + 27 + 5, y - 5*m - 19 = 0. Suppose 0*s - 4 = -y*s. Let x(t) = 2*t + 14. What is the lowest common multiple of s and x(-6)?
2
Let l be -4 - -7 - (-39)/1. Let r = -44 + l. What is the lowest common multiple of 10 and 22 + (0 + 1)*r?
20
Suppose 0 = -x + 3*h - 2*h, -x - h = -6. Suppose x*t - 88 = -2*d, 8 = t + t. Calculate the least common multiple of 18 and d.
342
Find the common denominator of 1087/68 + 0 - 15 and 99/238.
476
Calculate the least common multiple of 42 and 13 + -12 - (7 + -540)/(-1 - -2).
3738
Suppose 46*l - 530 = 41*l. Suppose 134 = 4*r - l. What is the smallest common multiple of 12 and r?
60
Suppose -5*k - 135 = 22*k. Find the common denominator of -21/10 and 34/85*k/27*21.
90
Let v = 43 - 162. Find the common denominator of (-24)/204 + (-235)/v and -43/35.
35
Let p = 363 - 253. Let i(t) = t**2 + 120*t + 2484. Calculate the lowest common multiple of i(-26) and p.
440
Let m(o) = o - 11. Let l be m(8). What is the common denominator of (1 + 166/(-8))/(-2) and (-224)/(-12) - -2 - l?
24
Let o = 87 - 130. Let y = 1061 - 998. Let r = y + o. What is the least common multiple of r and 3?
60
Suppose 4*n - 18 = -5*n. Suppose -70 = -3*m + 2*u - 0*u, n*u = 4*m - 92. Calculate the lowest common multiple of m and 22.
22
Let a be 80/48*(-199)/2. Let t = a - -158. Let j = 153/5 + -477/20. What is the common denominator of j and t?
12
Suppose 0 = -6*g + 11*g - 40. Suppose 2*h = 3*h - 5*y - 12, h = 3*y + g. Suppose 18 = -m + h*m. What is the least common multiple of m and 8?
72
Let t(a) = 48*a**3 - 364*a**2 + 3*a - 2 + 0 + 365*a**2. Calculate the least common multiple of 30 and t(1).
150
Suppose 5*d - d - 68 = -4*v, 0 = 2*v - 2. Suppose 0 = -q - 0*q + 1. Calculate the smallest common multiple of (-4422)/(-110) - q/5 and d.
80
Let t = -1012705145 + 70888115757/70. Let d = t + 17778. Find the common denominator of -8/3 and d.
210
Let m = 65 - 60. Suppose 5*l + m = 0, 5*l + 6855 = 4*v + 2*l. Let z = -41093/24 + v. Find the common denominator of z and 169/30.
120
Let m(j) = j**3 + 11*j**2 + j + 3. Let l be m(-11). Let y = -1/13586 - 523055/81516. Find the common denominator of ((-9)/54)/(l/(-154)) and y.
24
Let o(b) = -53*b + 137. Let h be o(7). Let u = -219 - h. What is the lowest common multiple of 55 and u?
165
Let r = -100 + 90. Let z be 0*5/r + 1*-1. Calculate the common denominator of 73/6 and (z - 4/(-23))/1.
138
Let t = 21/197 - 130653/394. Suppose m + m - 638 = 0. Let c = m + t. Find the common denominator of 2/3 and c.
6
Let i = 51 - 40. Let u = i + -19. Let w = u + 16. Calculate the lowest common multiple of 14 and w.
56
Let i(f) = -f**3 - 7*f**2 + 16*f - 57. Let j be i(6). Calculate the common denominator of -57/44 and (j/48)/((-111)/(-74)).
264
Suppose -14 = 6*p + 16. Find the common denominator of (153/180*5)/(18/(-4)) and p*2/8 + 2.
36
Let s(f) = -7*f**2 - 51*f - 45. Let b = -17 - 19. Calculate the lowest common multiple of 4/(b/(-15) + -2) and s(-6).
90
Calculate the lowest common multiple of (-10026)/(-30) + (-5 - (-432)/40) + -7 and 111.
333
Calculate the common denominator of 4/(-28) + 256/28 + (-10591)/2142 and 30/16 - 2/8.
72
Let o(p) = 2*p**3 - 9*p**2 + 20*p - 24. Let z be o(6). Let u = 254 - z. Calculate the least common multiple of u and 4.
100
Let h = 511 + -460. Suppose -103 = -11*j + h. What is the lowest common multiple of 1/(((-5)/18)/(-5)) and j?
126
Let c(x) = 98*x**2 - 113*x - 27. Calculate the smallest common multiple of 22 and c(-7).
5566
Let b = -9 - -16. Suppose b = -2*l - 1. What is the common denominator of 1/30 and ((-34)/l)/((-88)/55)?
240
Let u = 5516 + -5396. What is the lowest common multiple of 870 and u?
3480
Let p = -20518 + 20528. What is the smallest common multiple of p and 21284?
106420
Suppose 2*k - 7886 = -3*u, 3*u + 8997 = 3*k - 2847. Calculate the smallest common multiple of k and 9.
35514
Let n = -7730 + 7732. What is the smallest common multiple of 4 + 0 + -1 + 3 and n?
6
Let v be (-11)/(-2) + 11/(-22). Suppose f = 3, 15 = v*n - 3*f - 11. What is the least common multiple of n and 2?
14
Let g(v) = -v**3 + 31*v**2 - 49*v - 247. Calculate the smallest common multiple of g(29) and 3806.
26642
Find the common denominator of (1520/(-800) - -1)*1*(-5)/(-12) and 2*(1 - 64/18).
72
Find the common denominator of -31/3308 and 237/330 + (-588)/(-147) - 4/(-22).
16540
Let j = -79449/22 + 3614. Suppose -3*z - 5*m = 46539 + 6159, z - 5*m = -17546. Let f = 245739/14 + z. Calculate the common denominator of f and j.
154
Suppose 3*h = k - 516 - 1289, -2*h - 9064 = -5*k. Suppose -48*p + k = -2938. What is the lowest common multiple of p and 99?
99
Suppose -5*n + 0*n + 10 = 0. Suppose 0 = 2*p + 4*q + 38, n*q - 16 = -2*q. Calculate the least common multiple of 32 and 1/(-3) - 441/p.
32
Let x = -24 + 0. Let n = x + 32. What is the smallest common multiple of n and -20*44/165*-12?
64
Let t = -19/5045 - -4095607/20180. Let j = t - 946/5. Let g = -415/2 + 196. Find the common denominator of g and j.
4
Suppose 2*r = -x + 82, -r - 7*x = -2*x - 59. Calculate the common denominator of (-6)/r*1 + (-675)/(-1430) and -31/18.
198
Let v(j) = j**3 + 7*j**2 - 9*j + 1. Let q(r) = 21*r**2 - 22*r - 122. Calculate the least common multiple of q(-5) and v(-8).
513
Let c = 51043 - 126433509/2477. Let v = -94140/17339 + c. Find the common denominator of v and ((-1)/2)/(2/(-95)).
28
Let u(g) = 254*g - 1966. Let o = 33 + -27. Calculate the least common multiple of u(8) and o.
66
Let w = 5071 - 71031/14. Find the common denominator of -13/8 and w.
56
Let w = -1649/126 + 115/9. Find the common denominator of 79/12 and w.
84
Let v(m) = 53*m + 2. Let x be v(3). Suppose 3*t = -4*w + 720, w + 4*t + x = 2*w. Find the common denominator of 18/5 and -1 + 3 + w/(-27).
45
Let h = 3620899/1870 + -9681/5. Find the common denominator of 99/476 and h.
5236
Let s(t) = -t**3 + 119*t**2 - 870*t + 12. What is the smallest common multiple of s(8) and 108?
1404
Suppose -n = -2*n + 21. Suppose -2*s - 5*c + 48 = 0, 164*s - 36 = 162*s - 3*c. Calculate the lowest common multiple of s and n.
63
Let g = 30 + -16. Let v = 82/3 + -9. What is the common denominator of (-4 - (-70)/21)/(g/(-66)) and v?
21
Let u be (-310)/(-1) - (-36)/(-6). Suppose 23*h - 27*h = -u. What is the least common multiple of h and 8?
152
Let c = 2