= -57523679/1260 - -228267/5. What is the common denominator of 37/24 and o?
504
Suppose 2*j + 4*j - 36 = 0. Let c(t) = -t**3 + 5 + 2*t - 3*t + 5*t - 5*t + t**2. What is the smallest common multiple of j and c(0)?
30
Let q(p) = -p + 21. What is the smallest common multiple of 95 and q(11)?
190
Suppose -4*a + 2*r = -8, 3*a + 2 = 5*r + 1. Calculate the common denominator of (-8)/36 - a - -3 and -61/6.
18
Let j = 2/13913 + 695628/153043. Let i = 21/11 - j. What is the common denominator of -69/4 and i?
44
Let l = -4821023/154 + 31305. Calculate the common denominator of 47/140 and l.
1540
What is the lowest common multiple of 50/((-7)/(-7)) - 6 and 12?
132
Suppose 627 = 27*r - 156. Calculate the smallest common multiple of r and 12.
348
Calculate the lowest common multiple of 110 and (-4)/(1 - 1000/968).
1210
Suppose 35 = -0*x + 5*x - 4*r, 0 = -3*x + 3*r + 21. Let g = -2 - -1. What is the lowest common multiple of 4 and 2 + x + g + 2?
20
Let m = 14403/81400 - 6/925. What is the common denominator of m and 51/121?
968
Suppose -5*c = -v - 20720, c = 5*v - c + 103577. Let k = -4246583/205 - v. Let a = k - -582/205. Find the common denominator of a and 7/8.
40
Let t(l) = 3*l - 22. Let g be t(9). Suppose -6 = -g*j + 94. What is the smallest common multiple of j and 22?
220
Suppose 0 = -3*r + 3*g, 4*r - 32 = -r - 3*g. What is the common denominator of (27/(-24))/(447/(-156) + 3) and (-606)/r*2/48?
112
Let m(t) = -6*t**2 + 3*t + 6. Let a be m(-4). Calculate the common denominator of 22/(-33)*a/(-32) and ((-52)/(-72))/(1/(-8)).
72
Suppose 4*g + 4*u = 3*u - 236, 16 = 4*u. Calculate the common denominator of (-411)/g - (7 - 6) and (29/(-2))/(-9 - 2).
220
Let b = -832 + 889. Calculate the smallest common multiple of b and 1.
57
Let o(s) = 1443*s + 7. Let u be o(3). Let a be (-1)/2 + u/32. Calculate the common denominator of a/80*(0 - -2) and 27/4.
8
Suppose 14*h + 5 = 15*h. Suppose 15 = 4*d + 4*m - 37, -h*m - 43 = -d. Calculate the least common multiple of d and 8.
72
Suppose -6 = 7*s - 62. Suppose s*v + 150 = 9*v. What is the lowest common multiple of v and 14?
1050
Suppose 86*z = 62*z + 1200. What is the least common multiple of z and 10?
50
Let w be (-1)/(-6) - (-19006)/156. Let c = w - 121. Calculate the lowest common multiple of c and 60.
60
Let j(k) = k + 9. Suppose 0 = 2*w - 4, 5*y + 4*w - 116 = w. Let t = 17 - y. What is the lowest common multiple of j(t) and 5?
20
Let j = 523 - 1009/2. Find the common denominator of j and 93/170.
170
Let w be -7*13/((-455)/90). Suppose 2*u - 5*q = -0*u - 18, -2*u - 4*q + w = 0. What is the lowest common multiple of 6 and u?
6
Suppose 850 = -20*l + 25*l. Find the common denominator of -35/6 and 2/2*l/4.
6
Find the common denominator of 1060/(-1470) + ((-4)/(-4))/3 and -23/175.
1225
Let g = -79 - -81. Suppose 12 = -g*n + 5*n. Calculate the least common multiple of n and 8.
8
Let a = -2068069/42 + 288754/7. Let w = -7971 - a. Calculate the common denominator of w and -109/10.
30
Let m be (-5)/15 + (-35)/3. Let o = 14 + m. Suppose o*p - 4*p + 20 = 0. Calculate the least common multiple of 22 and p.
110
Let m = 2 + 3. Suppose -o = -4, -3*b + 2*o = m*o - 12. Calculate the lowest common multiple of 6 and 10 - (b + 0/(-2)).
30
Find the common denominator of 1*-2 - (-68)/24 and 14/5.
30
Suppose 0 = 4*p - 2*q + 5178, -2*p = -3*q + 44 + 2555. Let g = -2953/742 + 13/106. What is the common denominator of g and 1/2*p/(-51)?
21
Calculate the lowest common multiple of 5 and -3*((-336)/(-18))/(-2).
140
Let a(o) = o**3 - 5*o**2 - o - 3. Let h be a(6). Let r = -1 + h. Let z = r - 16. Calculate the least common multiple of 1 and z.
10
Suppose k - 5*d - 37 = 0, 12*k - 7*k - 207 = 3*d. What is the least common multiple of 56 and k?
168
Let o(i) = i**3 + 19*i**2 - i + 15. Let t(x) = x**3 + 20*x**2 - x + 16. Let a(q) = 7*o(q) - 6*t(q). Calculate the least common multiple of a(-13) and 10.
110
Let g = 190/3 - 233/6. Find the common denominator of g and 61/104.
104
Let k = 294 + -288. Calculate the lowest common multiple of (-3)/9*(-3 + 0) and k.
6
Calculate the common denominator of -67/6 and (12/792)/((-1)/(-89)).
66
Suppose 10 = -5*x, 3 - 8 = 3*h + 4*x. Calculate the smallest common multiple of h and 19.
19
Let x = -320 - -669. Suppose 3*y - x = -5*t, -2*t + t = -3*y - 59. What is the lowest common multiple of t and 14?
476
Let a = 2585/184 - 50/23. Calculate the common denominator of a and -1304*(-7)/2240 - 2/1.
40
Let d be 4/2*(-20)/8. Let f be d/(5/(-4)) - 2. Suppose -4*c + c = -f*b - 64, -4*c + 86 = -2*b. What is the lowest common multiple of c and 16?
176
Suppose 2*h - 25 = -3*d, 4*d - 42 + 18 = 2*h. Calculate the least common multiple of 75 and d.
525
Suppose 4*i + 0*d - 2*d + 8 = 0, 0 = 4*i + 4*d - 4. Calculate the common denominator of 1/(18/(-429)) + i and -59/16.
48
Let j = -11 - 39. Calculate the common denominator of (j/15)/(4/(-3)) and 22/5.
10
Let x be 1960/(-1957) + (-4)/(-4). Let b = x - 88041/15656. Calculate the common denominator of b and 9/11.
88
Let j(a) = -11*a + 22. Let y(v) = 13*v - 1. Calculate the smallest common multiple of j(-4) and y(1).
132
Let t(g) be the first derivative of -g**3/3 + 2*g**2 - 4*g - 4. Let c be t(6). Let z = c - -25. What is the smallest common multiple of z and 10?
90
Suppose n + n = -3*j + 47, n = 2*j + 6. Suppose n = -4*u, 0 = -3*h - 0*h + 4*u + 34. Calculate the common denominator of 41/3 and 72/(-280) + h/(-10).
21
What is the common denominator of 14/(-7) - (-323)/159 and -97/8?
1272
Let m = -369583/16674 + -4/2779. Find the common denominator of m and 4/18 + 314/(-360).
60
Suppose 936 = -741*f + 747*f. What is the lowest common multiple of f and 78?
156
Suppose 0*j + j - 14 = 0. Let b be (-1 + -3 - 1) + 4 - 108. Let k = -101 - b. What is the least common multiple of j and k?
56
Suppose v + 8 - 1 = 0. What is the common denominator of 295/2*(-5)/(-125) and v/(-5)*10/10?
10
Let m(q) = -q**2 - 6*q + 9. Let y be m(-7). Suppose 0*k - 68 = -4*h - 3*k, 68 = 3*h - y*k. Let a = -117 - -137. What is the smallest common multiple of h and a?
20
Let z = 27479/16170 - -1/1617. Calculate the common denominator of z and 101/66.
330
Let m(o) = 13*o - 1. Let s be m(-1). What is the common denominator of (-22)/s*(-2)/6 - -1 and 79/8?
168
Let c = 1157/72 + -69/8. Calculate the common denominator of c and (42/24)/(-2 + (-21)/4).
261
Suppose 0 = 4*w - 4, -7 = 4*s + 4*w - 3*w. What is the common denominator of 71/16 and (12/10)/s - 1505/200?
16
Let y(k) be the first derivative of -k**4/4 - 3*k**3 - 11*k**2/2 - 4*k - 5. Let r be y(-8). What is the common denominator of 38/r - (-5)/(-5) and -115/18?
90
Let c = 540 - 844. Let p = c - -3559/12. Calculate the common denominator of p and -57/20.
60
Let q = 2/23001 + -1081151/1196052. Calculate the common denominator of q and 59/104.
104
Suppose 3*x + 3*z = 6*x - 129, -4*x - 3*z = -165. What is the lowest common multiple of x and 42?
42
Suppose -3*y - 68 - 25 = 0. What is the common denominator of y and (-91)/(-6) - (-1 - -2)?
6
Let x(b) = b**2 - 4130. Let v be x(0). Let s = 57781/14 + v. What is the common denominator of s and -1 + 1 + 17/18?
126
Let a be 239485/(-217) + -2*2/14. Let y = -1104 - a. Find the common denominator of y and -15/2.
62
Let c = 10072/5 - 2006. What is the common denominator of (4 + 32/(-6))*(-98)/21 and c?
45
Calculate the least common multiple of ((-4)/(-3))/((-10)/1260*-12) and 42.
42
Let v(r) = 3*r**3 + 2*r**2 - 3*r - 4. Let o be v(-2). Calculate the least common multiple of 6 - (3/5 - o/10) and 14.
28
Let f(b) be the first derivative of b**2/2 + b + 20. Calculate the lowest common multiple of 20 and f(19).
20
Let m = 616 + -939. Let u = 7609/2 + -4110. Let a = u - m. Calculate the common denominator of 37/7 and a.
14
Let f = -50281/3196 - -765/47. Find the common denominator of (-663)/(-44) + 8/44 and f.
68
Suppose 0 = 2*k + 5*t - 58, -4*t + 109 + 53 = 5*k. Calculate the least common multiple of 212 and k.
3604
Suppose -2*z + 5*q + 2 = 0, -z + 4 = -2*q + q. Let g = 28 + -1. What is the least common multiple of z and g?
54
Let g(b) be the second derivative of b**4/12 + b**3/6 - 493*b**2/2 - 2*b. Let t be g(0). Find the common denominator of -105/26 and (-2)/10 + t/(-40).
104
Suppose 0 = c + 5*i - 9, 4*c + 2*i - 21 = -3*i. Calcul