3. Let r = -6049/204 + t. What is the common denominator of (-1 + 3)*(-5)/200*-61 and r?
60
Let t(c) = 5*c**2 - 2. Let i be t(-3). Suppose i = z - 3. Suppose 2*q + 18 = 4*q - 3*h, -4*q + h = -z. Calculate the smallest common multiple of 6 and q.
12
Suppose 18*m + 113 = 509. What is the smallest common multiple of 238 and m?
2618
Let g = 5 + -1. Suppose g*o = -o + 20. Calculate the lowest common multiple of o and 8.
8
Let b = 15 + 3. Let z = b - 12. Calculate the least common multiple of 10 and z.
30
Suppose -3*r = -4*x - 32, -5*r + 2*x - x + 25 = 0. What is the lowest common multiple of r and 14?
28
Suppose 2*p = 0, -3*v = v + 5*p - 32. Calculate the least common multiple of (-1 - 0)*(-8 + 0) and v.
8
Let d = 267569/20 + -13382. Find the common denominator of 98/(-16) - 3/12 and d.
40
Suppose 2*d = d + 5. Suppose -d*g = -15, -5*s + 2*g + 7 = -7. Calculate the least common multiple of 11 and s.
44
Let h(o) = 6*o**2 - 2*o + 1. Let i be h(1). Let m be ((-3)/12)/((-2)/8). Let u = m + i. What is the least common multiple of 3 and u?
6
Let s = -18 - -22. Calculate the least common multiple of s and 24.
24
Calculate the common denominator of 46/5 and (-2)/(-1) - 372/40.
10
Suppose -83 = -5*d - 3*g, -2*d - 5*g + 27 = -10*g. Find the common denominator of 3/2 and 42/d - (-8)/32.
8
Let h(k) = -4*k - 12. Let g be h(-10). Find the common denominator of ((-20)/(-6))/(g/(-357)) and -121/12.
12
Suppose 0 = 4*o + l, 0 = 3*o + 5*l - 2*l. Suppose 5*s = 2*s. Suppose 3*i + s*i + 96 = o. What is the common denominator of 19/4 and i?
4
Let y = -3170/9 - -62347/180. Let h = 1/10743 + 612329/236346. What is the common denominator of h and y?
220
Let h = -9/247 - -10217/2470. Find the common denominator of h and -37/4.
20
Let u be (-5)/(-2)*(-12)/(-15). Let d = 4 - u. Calculate the smallest common multiple of (10 - (-1 + 0))*2 and d.
22
Suppose 0 = -4*h - 2*w + 258, -2*w = 2*h - 0*w - 128. Suppose 3*j - 35 = -t, 2*t + 4*j + j = h. What is the lowest common multiple of 2 and t?
20
Find the common denominator of -25/3 and (-1695)/(-18)*2/20.
12
Let y(r) = -r**2 - 6*r + 11. Let g be (-2)/(-1)*(-56)/16. What is the smallest common multiple of 3 and y(g)?
12
Let w be (-4 - -1)*28/(-6). Suppose 13 = 3*h - w. Calculate the least common multiple of 7 and h.
63
Let q = 20 + -17. Calculate the smallest common multiple of q and 24.
24
Let r be (30895/10298 - 1) + -2. Let g = 249730/36043 - r. What is the common denominator of -11/16 and g?
112
Let y = 216 - 3944. Let g = 29889/8 + y. Let p = 15221/1746 - 75/97. Find the common denominator of g and p.
72
Suppose 9*x + 51 - 177 = 0. What is the least common multiple of 16 and x?
112
Let h be (-1)/(-2) - (-3690)/(-7378). Let s = h - 545927/332010. Let t = s - -4/9. What is the common denominator of -54/5 and t?
5
Let y = -2 + 5. Suppose -3*b = -y*m + 15, 0*b = -m - 2*b + 20. Calculate the least common multiple of m and 10.
10
Let g(y) = -2*y**3 - y**2 - 3*y - 6. What is the least common multiple of 46 and g(-2)?
276
Suppose 0 = q + 3*v - 3, -3*q + 3*v = 2*v - 19. Calculate the smallest common multiple of 8 and q.
24
Let p be 136/6 - (-2)/(-3). What is the lowest common multiple of 84/p - 10/(-55) and (-4)/(-7)*21/6?
4
Suppose -11 = -3*i - 5. What is the smallest common multiple of i and 11?
22
Calculate the lowest common multiple of 2 and 1/(-4) - (-72)/32.
2
Let i = -93955729201/3761140 - -363/188057. Let n = i + 24986. Find the common denominator of -83/12 and n.
60
Let a = -18713 - -224407/12. What is the common denominator of a and -123/10?
60
Suppose 0 = -2*s + 3*f - 1, 4*s + 5*f - 16 - 15 = 0. Calculate the smallest common multiple of s and 2.
4
Let m = 103709/14 - 7404. Calculate the common denominator of 13/22 and m.
154
Let h = -3240 - -64781/20. Let l = -1412949 + 11280599/8. Let i = 2869 + l. Find the common denominator of i and h.
40
Let z = -9943 + 1501381/151. Let g = z + -7792/755. Find the common denominator of -27/8 and g.
40
Find the common denominator of -76/27 and (2/48)/((-25)/(-875)).
216
Suppose 4*a - 53 - 59 = 0. Suppose b - 3 = 0, q + b = -4*q + a. Let y = -6 - -12. What is the smallest common multiple of y and q?
30
Suppose 0*o + 2*o = -5*u - 2, 4*u + 4*o + 4 = 0. Let v be -2 + 1 - (u - 3). Let j = v - -1. Calculate the lowest common multiple of 1 and j.
3
Let z(q) be the second derivative of 3*q**3/2 + q**2 - 6*q. What is the smallest common multiple of 6 and z(1)?
66
Suppose 0 = -3*d + 2*p + 13, -3*p - 36 = -4*d - 5*p. What is the smallest common multiple of d and (10/(-4))/((-12)/24)?
35
Suppose 2*v + 11 = 3*v - 3*p, 11 = v + p. Let m(o) = 2*o - 2. Calculate the lowest common multiple of v and m(2).
22
Let a = 2583 + -6119/2. Let s = a + 468. What is the common denominator of s and ((-52)/10)/((-8)/70)?
2
Find the common denominator of (24/(-9))/(30/117) and 5/11.
55
Suppose -w - 3*a - 16 = -44, -8 = -w + 2*a. Let d(o) = o + 9. Let b(f) = 4*f**2 + 2*f - 1. Let s be b(1). What is the least common multiple of d(s) and w?
112
Let g = 8 + -29. Let m = g + 33. Calculate the lowest common multiple of 10 and m.
60
Suppose -5*s = r - 11, -6*r + 5*s + 19 = -2*r. What is the least common multiple of r and 6?
6
Calculate the common denominator of (4/2)/(-2 - 6) and -13/90.
180
Calculate the common denominator of 99/20 and 428/(-3)*(-1)/16.
60
Let y = -97 + 330. Suppose 2*s - y = 5*i - s, 2*s - 48 = i. What is the common denominator of (-1 + 8 - 26)/((-16)/(-10)) and i?
8
Let f(s) = 7*s + 16. What is the least common multiple of f(2) and 10?
30
Let o(f) = 4*f**3 + f**2 - 1. Let a be o(1). Calculate the smallest common multiple of a/((-12)/(-39)) - 2 and 11.
11
Suppose 0 = -4*f + 2*x + 16, x - 34 = 2*f - 7*f. Let a(l) = -l + 2. Let i be a(1). What is the common denominator of (-20)/(-14) + (2 - i) and f?
7
Let l = 69 + -24. Suppose 5*o = -0*o + l. Suppose -1 = -5*m + o. What is the least common multiple of 20 and m?
20
Suppose 4*f = 5*i - 110, 0*i + 4*f = -3*i + 66. Calculate the lowest common multiple of (-2)/4*-22*2 and i.
22
Let h = 1911211/188760 + -2/23595. Let q = h + -211/8. Calculate the common denominator of (-4)/(-18)*(-67)/(-2) and q.
36
Suppose 3*j - 2*q + 36499 = 0, -j - 4*j = -3*q + 60833. Let n = 20142144 - 241851667/12. Let c = n - j. Calculate the common denominator of 29/14 and c.
84
Let b = -1 + -1/3. Let o = -59/10 - -6. Find the common denominator of b and o.
30
Suppose 18 = 4*i - 42. What is the smallest common multiple of 1 and i?
15
Let z = 7 + -7. Let s(d) = 2*d**3 - 2*d**2 - d - 2. Let p be s(2). Suppose 0 = 2*a - 2*l - 24, z = -0*l - p*l. Calculate the lowest common multiple of 6 and a.
12
Let c = 152 + -2153/14. What is the common denominator of (-399)/(-18) + 1/3 and c?
14
Let v = 6833/3216 + 1/3216. Find the common denominator of 47/4 and v.
8
Calculate the common denominator of -83/2 and 4 - ((-142)/20 - -2).
10
Let m = -38363/8 + 4786. What is the common denominator of -89/16 and m?
16
Let s = 27 + -25. What is the lowest common multiple of s and 54?
54
What is the common denominator of ((-5)/(-10))/((-15)/93) and -7/16?
80
Let r = 4/7 + -68/21. Let t = -493/60 - r. Find the common denominator of t and 45/22.
220
Let m(q) = q**2 + 7*q - 1. Let i be m(-7). Let y = -3 - i. Calculate the smallest common multiple of 4 and y*((-6)/4 - -1).
4
Let a = 62 - 42. What is the smallest common multiple of a and 8?
40
Suppose 0 = t + 2*t + 5*c - 11, -4*c - 32 = -t. Calculate the least common multiple of 4 and t.
12
Suppose d = 2*d - 7. Calculate the least common multiple of 16/10*85/34 and d.
28
Let v(r) = 2*r**2 - 3*r - 2. Let g be v(-3). Calculate the least common multiple of 5 and (16/10)/(5/g).
40
Let o(i) = -i**3 - 3*i**2 - 7*i + 4. Let p be o(-6). Suppose p - 64 = 5*h. Calculate the lowest common multiple of 312/(-65)*(-20)/6 and h.
144
Let b = 110 - 46. Suppose 3*j = -3*r + 5*j + 31, b = 4*r + 3*j. Calculate the least common multiple of 8 and r.
104
Let w = -12979/3664 + 24/229. Calculate the common denominator of w and 13/8.
16
Suppose -2*w + 0*w = 3*k - 4, 0 = -5*k. Suppose -2 = 2*s - 0. Let n = 5 + s. What is the least common multiple of n and w?
4
Let w = 30427352 + -13814003535/454. Let g = w - -14/227. What is the common denominator of g and -119/10?
10
Let x(i) = 4*i - 1. Let k b