 Suppose -v - 13 = -4*o. Suppose 5*c = 117 - 7. What is the smallest common multiple of o and c?
66
Let q = -3582/13 + 26381/104. Let f = -1129/56 - q. What is the common denominator of f and ((-1)/(-3))/(2/58)?
21
Suppose n = -5*w + 9, 2*w - 1 = 3*n + 6. Let x = n + 21. What is the smallest common multiple of x and 22?
220
Calculate the common denominator of -38/11 and 14/((-8)/12 + (-58)/(-6)).
99
Let q = 7317/142 + 1936440/497. Let v = 3950 - q. Find the common denominator of -57/22 and v.
154
Let r be (-410)/(-14) + (-14)/49. Suppose 4*h - 43 = r. What is the lowest common multiple of h and 8?
72
Let q(n) = -5*n - 7. Calculate the smallest common multiple of 28 and q(-3).
56
Find the common denominator of -17/16 and 49/(-2)*(-4 + 5).
16
Let k = 5 - 1. Suppose 0 = k*z - 126 - 250. What is the common denominator of -31/5 and (8/20)/((-4)/z)?
5
Suppose 0 = -2*s + 6*s + 12. Let g be (s - 8/(-3))*-12. Suppose 130 = 5*n - g*o, 2*o = -3*o - 25. What is the smallest common multiple of n and 6?
66
Calculate the common denominator of (-34)/((-4)/24 + (-14)/(-3)) and -47/4.
36
Let v be 1/2 + 41/(-98). Let j = v + 271/882. Calculate the common denominator of j and (-1)/(-12)*(-23 - 68).
36
Let h be -2*(-2 + 1)*-6. Suppose -5*j + 41 = -5*z - 44, -4*j = 20. Find the common denominator of z/h + (-6)/9 and -81/10.
30
Suppose 2*y = -f + 12, 4*f = -4*y + y + 23. Suppose -3*l - 5*u = -0*u - 21, l + f*u - 8 = 0. Calculate the lowest common multiple of 18 and l.
18
Let b(x) = x**3 - x**2 + x - 970. Let j be b(0). Let r = j - -2968/3. Let n = 34995/8 + -4369. Find the common denominator of r and n.
24
Suppose 22 = -3*h + h. Let m(i) = -i**3 - 11*i**2 - 3*i - 15. Let l = 3 + 5. What is the least common multiple of m(h) and l?
72
Suppose -5*k + 5*j + 4 = -k, 3*k - 2*j - 10 = 0. What is the lowest common multiple of k and 2?
6
Suppose -s = -3*r - 5, -2*s + 19 = -0*s - 3*r. Let j(i) = -6*i + 2. What is the smallest common multiple of j(-2) and s?
14
Let t = 438 - 1689/4. Let r = -21076650919/2017686 + -242/91713. Let b = -10451 - r. Find the common denominator of b and t.
44
Let l(w) = -w**3 + 6*w**2 - 3. Let b be l(6). Let g be (-12)/9*b/(-2). Calculate the common denominator of 45/14 and ((-102)/g)/(-5 + 1).
28
Suppose -5 = -0*x - 5*x. Suppose 18 = 3*j + 6. Calculate the least common multiple of j and x.
4
Suppose 38 = 5*i + 2*j, 5*i - 46 = -0*i - 4*j. Suppose 3*x + i = 45. Find the common denominator of -43/2 and (-1)/(-4) + x/8.
8
Let x = -282 - -1184. Suppose -1268 = 5*k + x. Calculate the common denominator of 65/14 and (-6)/(-15) + k/160.
112
Suppose -5*m = -5*v + 20, -3*v = 5*m - 0*m - 20. Calculate the smallest common multiple of m and 57.
57
Let s(k) = 3*k**2 + k. Let o = -5 + 3. What is the least common multiple of ((-12)/7)/(o/21) and s(2)?
126
What is the common denominator of 15/6*(-1 - 3)/40 and 70/9?
36
Suppose -6*d - 15 = -d. Find the common denominator of ((-23)/d)/(60/18) and -15/8.
40
Suppose -2*c - 113 = 5*j, -5*c - 3*j = -7*j + 233. Calculate the common denominator of c and -73/4.
4
Let v = 11 - 7. Calculate the lowest common multiple of v and (-10 - -6 - -9) + -1.
4
Suppose -5*d + 4*d - 2 = 0. What is the lowest common multiple of (d - 28)/(6/(-4)) and ((-12)/7)/((-10)/70)?
60
Let o(k) = -19*k**2 + 4. Let r be o(8). Let i = -19488 + r. Let q = -248551/12 - i. Calculate the common denominator of -75/2 and q.
12
Let g be 5/(-2 - -1 - -2). Suppose g*v = -4*b - 651, v - 527 = 5*v - 3*b. Calculate the common denominator of 4/18 - v/(-9) and 13/5.
15
Suppose 3*a - 39 = 3*c, a - 34 = 5*c + 27. Let i be (-3)/c - (-7)/4. Find the common denominator of ((-4)/3)/(i/9) and 20/3.
3
Let l = -8241/20 - -2057/5. What is the common denominator of -11/10 and l?
20
Let i(b) = b**2 - b - 2. Let l be i(0). Let h = -7619/30 - -794/3. Calculate the common denominator of l - (2 - (-33)/24) and h.
40
Suppose -n + 5*n = -84. Calculate the common denominator of (40/n)/(3/9) and -64/9.
63
Suppose -f + 0*x = 4*x - 16, 2*x - 8 = -3*f. Suppose -h - 21 = -5*a, f = -5*a + h - 5*h + 16. What is the least common multiple of a and 6?
12
Let v(i) = i - 2. Let a(o) = -2*o + 70. What is the lowest common multiple of v(6) and a(29)?
12
Let g = 15450 - 200700/13. Let m = -634/91 + g. Find the common denominator of 117/10 and m.
70
Let a = 27 + -15. Let s be a/(-9)*3/(-2). Suppose -s*q = 2*q - 88. What is the least common multiple of 8 and q?
88
Suppose -4*n = -w - 4*w - 20769581746, -n = 2*w + 8307832688. Let h = 63284915559032/15235 + w. Let y = -2/1385 + h. Find the common denominator of -9/10 and y.
110
Let w be (-5)/(-2) - (-3)/(-6). Calculate the least common multiple of 2/3 - w/(-6) and 6.
6
What is the smallest common multiple of 8 and 50/6 + 8/12?
72
Let u(q) = -7*q**3 + 3*q**2 + 4*q + 2. What is the lowest common multiple of u(-1) and 46?
184
Let r(j) be the first derivative of j**3 + 2*j**2 + 3*j - 1. Calculate the least common multiple of r(-2) and 2.
14
Let t be (-276)/(-15) + (-8)/20. Find the common denominator of 366/t*(-9)/48 and 99/2.
16
Let q = 71 + -55. What is the smallest common multiple of q and 10?
80
Let x(b) = 2*b**2 - b - 2. What is the smallest common multiple of x(-1) and 1?
1
Suppose -45 = -9*f + 4*f. Calculate the least common multiple of 2 and f.
18
Suppose 3*y = 2*i - 4, 3 = -i - 5*y - 8. Calculate the lowest common multiple of 20 and (18/(-1))/(i/1).
180
Calculate the common denominator of 291/(-2)*1/9 and -17/30.
30
Let q be 0/(-1) + (-106209)/37158. Let p = q - 3/563. Let t = 1/1028 - 6299/2570. Find the common denominator of p and t.
220
Let j(z) = -z**3 - 10*z**2 - 10*z + 13. Let i(h) = 3*h**3 + 30*h**2 + 31*h - 40. Let a(y) = 2*i(y) + 7*j(y). What is the lowest common multiple of a(-9) and 4?
4
What is the common denominator of 151/6 and -3 - (1*2 - 1793/484)?
132
Let p be (1/(-36))/((-91)/(-41937)). Let u = p - -33/52. Calculate the common denominator of 25/3 and u.
6
Let r be 6/(-15) + 2/5. Suppose -w - w + 2 = r. Suppose 4*a - 2*u = 22, 2*u - 6 = 3*a - 24. Calculate the smallest common multiple of w and a.
4
Let j = -348 + 2427/7. Calculate the common denominator of (-1)/(-6)*(-148)/3 and j.
63
Suppose 3*r + 6 = 3*b - 0*r, 5*r + 18 = b. Calculate the lowest common multiple of (1/b)/((-4)/8) and 2.
2
Let q be (-3143)/(-77) - 2/(-11). Let f = 41/2 - q. Let a = 52/3 + f. What is the common denominator of -149/6 and a?
6
Let a = -30 - -88. Suppose -d + a = 160. What is the common denominator of -57/16 and ((-3)/(-6))/((-14)/d)?
112
Suppose -4*h = h - 250. Suppose 0 = -3*c + n + 23, -5*c + n + 3*n + h = 0. Suppose 71*d = 75*d - 8. Calculate the least common multiple of c and d.
6
Let i(s) = s + 7. Let v = 14 - 5. Calculate the lowest common multiple of 16 and i(v).
16
Let k(j) = 5*j - 1. Let o be k(1). Suppose i + o*t - 91 = -4*i, 0 = -4*t + 16. Calculate the common denominator of (66/8)/(i/2) and -29/4.
20
Let f be 6/21 - 164/(-14). What is the common denominator of (-2)/f*(-154)/4 and 143/(-12) + -4 + 2 - -2?
12
Let o be (-28)/(-6)*3/(-12). Let h = o - 115/12. Calculate the common denominator of h and -113/18.
36
Let p = 2 - 1. Let i = 65 + 7. Calculate the common denominator of 11/2 and (-75)/i - p/(-6).
8
Let j(d) = 3*d + 59. Find the common denominator of j(-9) and -3/8.
8
Suppose -3*f + 3 + 30 = 0. Let g = f + -5. Calculate the least common multiple of 7 and g.
42
Let j = -829/8 + 105. Find the common denominator of j and 43/9.
72
Let u = 3481/2 - 1703. Find the common denominator of u and -49/2.
2
What is the least common multiple of 10/3*(0 + 8 - 2) and 6?
60
Suppose 2*t - 5 = 5*r, -3*t - 65 = 2*t + 3*r. Find the common denominator of 1/(-2)*(-22)/16 and 54/t - 21/84.
80
Let h = 33 + -31. Calculate the least common multiple of h and 20.
20
What is the smallest common multiple of 18 and (-8)/14*-18 - 10/35?
90
Let b be (-12)/6 + (-150)/(-62). Let c = 1863/155 - b. What is the common denominator of -99/8 and c?
40
Suppose 0 = -o + 5*p + 45, -3*o - 3*p - 36 = -117. What is the smallest common multiple of 15 and o?
30
Let k = -1556761/504050 - -4/14825. Calculate the common denominator of k and 33/4.
68
Let p = -44307 - -372400337/8405. Let t be 5732138/(-302580) + (-2)/9. Let j = t - p. Calculate the common denominator of 13/20 and j.
60