ppose 2*g - 21 = -3*s, 3*s + g = 7*s - 17. Suppose 11 = -4*w + 51. Suppose p - s = -4*m + w, 0 = m + p. What is the lowest common multiple of m and 4?
20
Let o be 2409/(-42) + 1/(-7). Let a = -142/3 - o. What is the common denominator of 31 and a?
6
Let d = 6 - 3. Suppose d*y = -4*r + 28, -7*r + 3*r = -3*y + 44. Find the common denominator of -1 + (-9)/y + -1 and 5/8.
8
Suppose -2*f + 2*t + 25 = 3*f, -20 = -4*f - 3*t. Let j = f + 3. What is the smallest common multiple of j and 11?
88
Suppose -11*q = 94 - 534. Calculate the lowest common multiple of 15 and q.
120
Suppose 0 = 3*h - 2*h - 3. Suppose 2*k + h*k = 45. Calculate the least common multiple of 7 and k.
63
Let o be (2/4)/((-1)/(-2)). Let v be o - (-2 - 0 - -7). Let u = -2 - v. What is the least common multiple of u and 4?
4
Let c be (-81)/(-14) + 10/35. Let v = -260/63 + c. What is the common denominator of ((-2)/(-28))/((-4)/(-348)) and v?
126
Let c = 29 + -25. What is the least common multiple of c and 4?
4
Let k = -11 + 17. Calculate the smallest common multiple of k and 10.
30
Let o(b) = 2*b + 20. Calculate the smallest common multiple of 15 and o(-7).
30
Let q(a) = -2 - 12*a - 3 - a**2 + 0*a**2 + 0*a. Let g be q(-12). Find the common denominator of -35/9 and g/(55/39) + 0.
99
Let z(p) = 17*p. Let q be z(-1). Calculate the common denominator of -54/11 and q/6 + (-1 - -1).
66
Let f be (2 - (6 + -3)) + 3. Suppose -f*x - x + 6 = 0. Calculate the least common multiple of x and 5.
10
Let y = 27 - 19. What is the smallest common multiple of y and 3 - -3*1/3?
8
Suppose 5*v + 2 - 17 = 0. What is the lowest common multiple of v and 2?
6
Let c = -31 - -57. Suppose -y + 4*z = -z - c, -4*y + 44 = -5*z. Let q = -8 - -16. What is the lowest common multiple of y and q?
24
Let k = -230/11 + 2357/88. Let n(t) = t**3 - 2*t**2 + t + 2. Let b be n(2). Calculate the common denominator of k and (-3)/12 + 55/b.
8
Let m = 122/63 + -20/9. Find the common denominator of (48/10)/(22/10) and m.
77
Suppose -3*c - 3*f = 2 - 5, -2*c - 10 = 5*f. Calculate the least common multiple of c and 1.
5
Let q = -5 + 15. Let p(v) = v**3 - 5*v - 3. Let o be p(-3). What is the smallest common multiple of q and 40/o*6/(-4)?
20
Let s = 5 + -7. Suppose 3*r = -2*m + 10 + 3, -r = -2*m - 7. What is the smallest common multiple of r and ((-5)/s)/(3/6)?
5
What is the common denominator of 53/12 and (2/6)/((-12)/(-270))?
12
Let w(x) = -8*x**3 - x**2 - 2*x - 2. Calculate the smallest common multiple of w(-1) and 6.
42
Suppose w - 6*w - 15 = 4*f, -w - 2*f - 9 = 0. Let p be (16/4)/(-2*1). Find the common denominator of (p + (-13)/9)/w and 25/7.
63
Let m = -3727/668 - 2/501. Calculate the common denominator of m and 31/14.
84
Let q = -1123 - -9017/8. Let v = 54029/14 + -3857. Calculate the common denominator of q and v.
56
Suppose -2*v = -4*v + 24. Suppose 0 = -5*q - 0*q + 10. Suppose 31 = 5*o + 3*k, 6*k - 3*k = q*o - 25. Calculate the lowest common multiple of v and o.
24
Suppose c + 3*x - 36 - 49 = 0, -2*x - 410 = -4*c. Suppose -2*s = -6*s + c. Find the common denominator of s and 15/4.
4
Let u = 40 - 31. Calculate the smallest common multiple of 6 and u.
18
Let v = 11 - 8. Calculate the smallest common multiple of (-9)/(5 - v - 3) and 11.
99
Calculate the common denominator of -29/10 and (826/12)/7 - 1.
30
Let x = 24 + -35. Find the common denominator of -65/2 and ((-1)/x)/((-4)/148).
22
Let n = 43704/11 - 221841493/55836. Let o = n - -164959/55836. Calculate the common denominator of -119/20 and o.
220
Let x be (-2)/11 + (-78)/(-66). What is the common denominator of 1 + x - (-195)/(-6) and (-115)/(-14) - (5 + -3)?
14
Suppose 3*m - 19 = -4. Suppose -13 + 58 = m*n. Calculate the lowest common multiple of 1 and n.
9
Suppose r = -2*r + 48. Suppose -3*t - 3*j + 39 = 0, -j + 0*j - 29 = -2*t. Calculate the lowest common multiple of r and t.
112
Suppose j = -473 - 399. Let w be j/2 - 8/(-12). Let r = -10529/24 - w. Calculate the common denominator of 31/14 and r.
56
Suppose 8 = -0*f + 4*f - 3*g, f + 4*g = 21. Suppose -3*r = -f*i - 49, -r + 4*i + 27 = -1. Find the common denominator of r/(-20) - 1198/180 and 11/20.
180
Let n(w) = w**3 + 9*w**2 + 8*w + 4. Suppose 5 + 3 = 4*i. Suppose i*h + 0*h - 36 = 0. Calculate the smallest common multiple of n(-8) and h.
36
Let o = -43/21 - -7/3. Calculate the common denominator of o and -12/11.
77
Let l = -12 + -16. Find the common denominator of 99/4 and (-77)/l*12/5.
20
Suppose d + b = -b - 6, -33 = -2*d + 5*b. Calculate the lowest common multiple of 9 and 1*2*(1 + d).
90
Let a = -765204 - -119370625/156. Let z = -257/13 - a. Calculate the common denominator of -41/22 and z.
132
Suppose 0 = -4*y - 3*k + 5 + 47, -3*k + 26 = 2*y. Suppose -5 = -u + y. Calculate the lowest common multiple of 10 and u.
90
Let z = 15934/9 + -1767. Calculate the common denominator of z and 45/16.
144
Let o(a) = a**3 - a**2 - 963. Let h be o(0). Let z = 3895/4 + h. What is the common denominator of -81/2 and z?
4
Let x(h) = -h**3 - 6*h**2 + 7*h. Let f be x(-7). Suppose -4*p + 11 = -5*u, 4*p + f = 2*u + 14. What is the least common multiple of 6 and u?
6
Suppose 2*l + 132 = l. What is the common denominator of 42*(9/l)/(-1) and 237/27*3/(-2)?
66
Let x = -18655 - -820733/44. Let b = -8/11 - x. Let i = 799/16 - 54. What is the common denominator of i and b?
16
Let q be 2 + 0 + 0 + 126. Let o = q - 1035/8. Find the common denominator of (-1 - -4) + (-550)/(-180) and o.
72
Let s(u) = -u. Let h = -4 - -6. Let b be (h/(-6) - 1)*3. Calculate the least common multiple of 9 and s(b).
36
Let h be ((-1789)/5)/(6/51). Let t = 3044 + h. Find the common denominator of t and ((-2)/(-3))/((-6)/(-65)).
90
Suppose 9*o = -39 + 129. Calculate the lowest common multiple of 94 and o.
470
Let a = 36 + -12. Suppose 11*i = 5*i + a. What is the smallest common multiple of 6 and i?
12
Find the common denominator of ((-2)/24)/((-2)/86) and 19/8.
24
Let u be -84*((-7)/4 - -1). Calculate the smallest common multiple of ((-36)/(-21))/(6/u) and 16.
144
Suppose 4*n + 7 = -1. Let p = 29333/10 + -2945. Calculate the common denominator of p and (-3)/42*n*-3.
70
Suppose f - 17 = 1. Calculate the smallest common multiple of f and 18.
18
Suppose -2*t - 13 = -2*x + t, 3*x - 21 = 3*t. Suppose 5*i + 58 = 3*s, 2*s = -3*i - 0*i + 26. Calculate the smallest common multiple of x and s.
16
Suppose 4 + 3 = k. Let s = k - 15. Let c = s + 12. What is the least common multiple of c and 2?
4
Let u be -1 - (-5)/(64300/(-144678)). Let m = 32/643 - u. Find the common denominator of m and 93/2.
10
Let i be ((-388)/(-6))/(22/18). Let m be (-58996)/1056 - (-2)/(-3). Let r = i + m. What is the common denominator of 95/8 and r?
8
Suppose -25 = -4*t + 23. Let l(y) = 186*y. Let d be l(3). Find the common denominator of 31/8 and ((-2)/t)/((-20)/d).
40
Let m = 1 - 17. What is the common denominator of 42/4 - (2 + -1) and 90/m - 6/3?
8
What is the lowest common multiple of 18 and (29 + 4)/((-4 - -2)/(-12))?
198
Let b(z) = -28*z - 14. What is the least common multiple of 12 and b(-3)?
420
Suppose 3*w + 3*d = 3, 2*w - 2*d = 6 + 8. Let o = -23 - -39. Suppose -o = -3*s + s. Calculate the lowest common multiple of w and s.
8
Let x = 5 + -4. Suppose 4*g + x = 5. Calculate the lowest common multiple of g and 11.
11
Let g = -4127/804 - -29/134. What is the common denominator of 67/14 and g?
84
Let r = 35 + -19. Let g(k) = -k**3 - 5*k**2 - k + 7. Let j = 4 + -9. What is the lowest common multiple of r and g(j)?
48
Suppose 8*y - 10*y = -2. Calculate the least common multiple of y and 6.
6
Let m = 28 + -10. Suppose 2*g - 18 = m. Calculate the lowest common multiple of g and (-9)/6*8/(-3).
36
Suppose 4*w + 65 = -55. Let x be (-80)/w*3/(-2). Calculate the common denominator of 26 and (-10)/x - (-1 + -1).
2
Let h = -228/11 + 2567/66. Calculate the common denominator of h and 48.
6
Let j = 2 + 0. Suppose -4*a + a + 7 = -4*p, 14 = -3*p + 4*a. Suppose p*r - 32 = -j*r. Calculate the smallest common multiple of r and 7.
56
What is the common denominator of 97/44 and 40/100 + (-1)/(120/353)?
264
Let z = 3023/6 + -512. Calculate the common denominator of 17/27 and z.
54
Let m be (-2)/(-7) + (-300)/(-28). Let j = m + -4. What is the common denominator of 158/112 + (-2)/j and -23/9?
72
Let f = -18152 + 4662. Le