et v be (-27)/45 + (-15492)/5. Let t be 1 + 2/(104/v). Let p = -231/4 - t. Find the common denominator of 31/3 and p.
39
Let l(m) = m**3 + 8*m**2 - 2*m - 5. Let d(y) = -y - 5. What is the smallest common multiple of l(-8) and d(-6)?
11
Let s(o) = -o**2 + 4*o + 12. What is the least common multiple of s(4) and 28?
84
Suppose -5*n = 5*p - 110, -5*n + 14*p + 104 = 16*p. Calculate the smallest common multiple of 16 and n.
80
Let u = -802 + 806. Let k = 2 - -7. Calculate the smallest common multiple of k and u.
36
What is the common denominator of 30/(-12)*98/40 and -53/30?
120
Suppose -239*c + 251*c - 1092 = 0. What is the smallest common multiple of 26 and c?
182
Let y = 210 - 95. Suppose -4*h - y = -9*h. What is the least common multiple of h and 10?
230
Let q = 34763897/1084 - 32070. Calculate the common denominator of -39/16 and q.
4336
Let m be (-294)/(-35) - (-2 + (-12)/(-5)). Find the common denominator of 43/24 and (m/(-9))/8*(-26)/(-4).
72
Let j = 63 - 15. What is the smallest common multiple of 114 and j?
912
Suppose -s = 2 - 18. Let u be (-16)/(-3) + s/24. Calculate the common denominator of u/(-10)*465/(-12) and 91/22.
44
Let n(h) = h**2 + 3*h + 1. Let c be n(-1). Let i be (c/(-3))/(1/174). What is the smallest common multiple of 1/(-4) + i/8 and 10?
70
Let d = 1/160 + -1401/160. Calculate the common denominator of d and (-64)/30 - (7 - (-75)/(-9)).
20
Let i = 188323/1389984 + -1/14479. Calculate the common denominator of i and 55/144.
288
Suppose 4 = -k, 5*x + 3068 = -3*k + 581. Let q = -1013/2 - x. Find the common denominator of q and -101/20.
20
Suppose 0 = -3*f - 5*y + 871, -2*f + 4*y - 8*y + 578 = 0. What is the least common multiple of 33 and f?
297
Suppose 20 = 2*d - 4*s, 0 = 4*d - 0*d + s - 49. Let b = 19 - 64. What is the smallest common multiple of d and (b/20)/(6/(-16))?
12
Let l(y) = y - 12. What is the least common multiple of 24 and l(23)?
264
Suppose j + y - 10 = 0, -33*j = -32*j - 2*y - 16. Calculate the least common multiple of j and 56.
168
Let q = 36 + -22. Suppose -4*b + 15 = -5, 5*h + 5*b - 85 = 0. What is the smallest common multiple of q and h?
84
Let o = -23631139/14576298 - 2/220853. What is the common denominator of (19 + -9 + 85)/(-6 + 0) and o?
66
Find the common denominator of -62/3 and (980/(-21) + 8)/2.
3
Let u = 62 + -44. Suppose -2*i = 3*t - 36, -4*i = -t - 10 - 62. What is the smallest common multiple of u and i?
18
Let r = 1265 - 1093. Calculate the least common multiple of r and 2.
172
Let q be (807291/33)/(-3)*-2. Let y = -16376 + q. Let l = 63 + y. What is the common denominator of l and -31/3?
33
Let o = -192249/20 + 9609. Let b = 556 - 5451/10. What is the common denominator of b and o?
20
What is the smallest common multiple of 6 and 7/(168/438) + (-1)/4?
18
Let t be (-25530)/4192 - (4 + (-36)/9). Let x = t + 20/131. What is the common denominator of 93/28 and x?
112
Find the common denominator of ((-4)/(-30))/(24/(-1905)) and (-4 + 0)/(-12) - 211/48.
48
Let v be 4 + -3 + -3 + 706210/(-102120). Let m = 6676945/851 + -7846. Let b = m + v. What is the common denominator of b and -11/16?
48
Calculate the common denominator of (95/(-25) - -3)/(22/(-130)) and -20/107.
1177
Let a = -1/114524 - 92191807/1488812. Let n = -13567/234 - a. Find the common denominator of n and 3/(-2)*(-1 - -4).
18
Let k be -1*(4 - (-3)/(-3)). Calculate the common denominator of (-1)/((-8)/86) + -1 and (k + 3)/1 + (-399)/(-154).
44
Suppose -3*g = 9*g + 12. Let y(z) = -38*z + 2. What is the smallest common multiple of 36 and y(g)?
360
Let j be 1*(1 - 2 - -2) + 4. Suppose 6*i + j*z = i + 110, i + 5*z - 30 = 0. Let v(m) = 3*m - 5. What is the smallest common multiple of i and v(5)?
20
Let o = 1701 - 1566. What is the smallest common multiple of o and 15?
135
Let g = 103/12 + 7/60. Find the common denominator of g and -97/50.
50
Let n = -84911/12 - -7065. Let k = -4637/612 + -1/153. What is the common denominator of n and k?
12
Suppose -72 = f - 2*f - j, 0 = -5*j - 5. Let u = 77 - f. Calculate the smallest common multiple of u and 1.
4
What is the smallest common multiple of (-4)/(-10) + (-340)/(-25) and (-3 + 1)/(1/(-8))?
112
Let b(k) = -2*k**3 + 17*k**2 - 9*k - 10. Calculate the lowest common multiple of b(7) and 10.
370
Let b(k) = 3*k**2 - 14*k + 9. Let v(n) = -2*n**2 + 13*n - 8. Let d(a) = -3*b(a) - 4*v(a). What is the smallest common multiple of 4 and d(-10)?
20
Let l = -5 + -15. Let t be 4/10 + (-2192)/l. Suppose 0*o = 5*o - t. Calculate the least common multiple of o and 16.
176
Calculate the lowest common multiple of 5/(-15)*108/(-2) and 24.
72
What is the common denominator of -7/128 and (-875)/(-63) + -10 - (-2)/4?
1152
Let f = 33867/25 + -1353. Find the common denominator of f and -113/10.
50
Let t be (4 + 10)/(1*-2). Let c = -1 - t. What is the least common multiple of c and (24/(-9))/(6/(-9))?
12
Suppose 12*q - q = 264. What is the smallest common multiple of q and 44?
264
Suppose -2*u = -p - 18, -5*u + 2*u + 29 = -p. What is the least common multiple of 71 and u?
781
Let i(j) = -j**3 - 13*j**2 - 12*j + 9. Let c = 36 + -48. Calculate the smallest common multiple of 2 and i(c).
18
Suppose 2*o + 1140 = 4*b, 83*b - 5*o - 1415 = 78*b. What is the smallest common multiple of 91 and b?
3731
Calculate the common denominator of (-2)/84*-465 - (5 - 1) and (-21)/9*(-9)/(-6).
14
Let v = -147 - -152. What is the smallest common multiple of v and 6?
30
Let o = -14 - -11. Let x = 7 + o. Suppose g - p + x*p + 5 = 0, -3*g + 24 = -4*p. What is the lowest common multiple of g and 20?
20
What is the smallest common multiple of (-1)/4 - -1162*(-5)/(-40) and 2?
290
Let g = 1199 - 1183. Calculate the smallest common multiple of g and 142.
1136
Let c = -122/27 - -36232/7911. Let y = 5197/3516 - c. Calculate the common denominator of 29/33 and y.
132
Suppose 6 = 7*c - 5*c. Suppose 141 = 3*j - c. Suppose a - 5*a = -j. What is the smallest common multiple of a and 14?
84
Suppose -15*x = -14*x + 28. Let y = 46 + x. Calculate the smallest common multiple of y and 6.
18
Let d be 2 + (-2 - 2/(-1)). Suppose -d*j - 3*x = -33, -5*j + 43 = x - 7. Let o = 7 - 2. Calculate the least common multiple of j and o.
45
Let x(a) = -9*a + 1. Let m be x(2). Let r = -9 - m. Let u(g) = g**3 - 8*g**2 + 11. Calculate the lowest common multiple of 4 and u(r).
44
Let i be 27/(-18) - 111/(-6). Suppose -i = -n - l, 0*l + 12 = 4*l. Calculate the lowest common multiple of n and 3.
42
Suppose 3*q - 3*u = 18, -3*q + 7*q + u - 29 = 0. Find the common denominator of ((-10)/16)/((-12)/(-112)) + 2 and q.
6
Let r = 22 + -15. Suppose -36 = -13*y + r*y. What is the lowest common multiple of y and 150?
150
Suppose -4*h + 20 = 4*n, 4*n + 0*h = 5*h - 25. What is the lowest common multiple of (6/9 - n)*9*5 and 15?
30
Suppose -3*r - r = 96. Calculate the common denominator of 274/r*1 - 1 and -59/9.
36
Suppose 39 = 5*b + 5*f - 3*f, -3*f + 18 = 3*b. Calculate the smallest common multiple of 90 + (39/b - 1/3) and 12.
564
Let t(r) = 3*r**2 + 72*r + 1. Calculate the lowest common multiple of 8/40 - 54/(-5) and t(-24).
11
Let r be (-9 + (-3 - -1))/1. Let m(l) = -l**2 - 14*l - 15. Calculate the least common multiple of m(r) and 12.
36
Suppose -18*z = -14*z - 8. What is the lowest common multiple of z and 54?
54
Calculate the smallest common multiple of ((-10)/6)/(10/(-660)) and 121.
1210
Find the common denominator of -107/68 and (1 - (-147)/(-208))/(716/1432).
1768
Let m = -208636 - -68432703/328. What is the common denominator of -17/48 and m?
1968
Let d(h) = h**3 - 5*h**2 - 14*h - 17. Calculate the least common multiple of 9 and d(8).
63
Let d = -106 - -124. Suppose -2*n + 6 = -n. Suppose -5*l = -96 + n. Calculate the lowest common multiple of l and d.
18
Let r = -2395336/99 - -24195. Find the common denominator of -4/99 and r.
99
Suppose 9 = 3*t - 15. What is the common denominator of (412/90)/(t/10) and 27/2?
18
Let j = -16 - 12. Let g = j - -29. Calculate the least common multiple of 1/2 + 1/2 and g.
1
What is the common denominator of 143/6 and ((-1802)/(-255))/(-1 + 3)?
30
Let m = 81301/8196 - 2/683. Let l = -8999/8 + 1131. Find the common denominator of m and l.
24
Suppose 3136 = 19*d - 6288. Calculate the lowest common multiple of d and 3.
1488
Let p(q) = q**2 + 6*q - 6. Let 