x. What is the smallest common multiple of x and 12?
12
Let q(s) = 4*s**2 + 8*s + 13. Let a(w) = -11*w**2 - 25*w - 40. Let m(j) = -3*a(j) - 8*q(j). What is the lowest common multiple of 16 and m(-11)?
16
Let y(t) = t**2 + 5*t + 6. Suppose 34 + 48 = s. Suppose -5*b = -s + 22. What is the smallest common multiple of b and y(-5)?
12
Suppose 0 = 5*g + 6 + 4. What is the lowest common multiple of 32/5 + g/5 and 2?
6
Let i = -1 - -4. Let x = i + -1. What is the smallest common multiple of 4 and x?
4
Let a(u) = 23*u**2 - 1. Calculate the smallest common multiple of a(-1) and 14.
154
Let u = 10 - 0. Suppose 0 = -2*o - 0*o + 232. What is the least common multiple of u and o/10 + (-2)/(-5)?
60
Let d be (-76)/(-70) - 2/7. Let a = d - 51/70. Let x = -4638 - -27751/6. What is the common denominator of x and a?
42
Suppose t - 1 = 7. What is the least common multiple of t and 7?
56
Let x = 3833/374 - 124/17. Find the common denominator of (-38)/(-12)*2/6 and x.
198
Let p(a) = -a - 2. Let w be p(-3). Calculate the smallest common multiple of 4*w*9/6 and 4.
12
Suppose 2*u - 4 = 32. Calculate the smallest common multiple of 6 and u.
18
Let x(i) = i**2 - 2. Let f be x(2). Let r = 3 - 4. Let t = f - r. Calculate the smallest common multiple of t and 6.
6
Suppose -4*x - 8 = 0, 3*n - 47 - 27 = x. Calculate the least common multiple of 16 and n.
48
Calculate the common denominator of ((-4)/(-16))/(4/(-20)) and 3/14.
28
Suppose -5*w + l + 56 = 15, 0 = -w - 3*l + 5. Let r be 15/(-10)*22/3. Let s = r - -13. What is the least common multiple of s and w?
8
Let c = 1 + 4. Let q be (-1)/(0 + (-1)/c). Suppose 4*b + 17 = g + b, 25 = q*g - 3*b. What is the least common multiple of g and 20?
20
Let q = 14682622806112519/1289011 + -11390610946. Let w = q + 7/6665. Let z = -87044/33845 - w. What is the common denominator of z and -49/4?
28
Let s = -3 - -8. Suppose 2*d - s*d + l = 1, -4 = -l. What is the lowest common multiple of d and 3?
3
Calculate the common denominator of -3/22 and (-21)/7 - (-146)/16.
88
Let d = -2 - -18. Let x(r) = 15*r + 5. Let i be x(5). Suppose i = 2*k + 2*k. What is the smallest common multiple of k and d?
80
Suppose -4 - 2 = -i - 2*l, -l - 2 = 0. Suppose -3*k = -i - 2. What is the least common multiple of 3 and k?
12
What is the common denominator of 38/31 and 1684/(-112) + -2 + 48/21?
124
Let q = 2 + -1/8. Let z = 95524/453495 - 15346467457/1356857040. Let y = 1/2992 - z. What is the common denominator of q and y?
40
Let f(m) = m**2 - 3*m + 4. Let c be f(3). Let x = c + 6. What is the common denominator of 77/6 and ((-99)/5)/((-8)/x)?
12
Let h = 22 + -8. What is the smallest common multiple of 16 and 284/h + 6/(-21)?
80
Let t = -9577/4836 - -25/93. Calculate the common denominator of t and -111/14.
364
Suppose -p = 2*p - 3. Let j be p/(2*(-3)/(-18)). Calculate the least common multiple of 22 and -10*((-2)/(-1) - j).
110
Let a be -1 + 0 - (-4)/4. Suppose a*u + 15 = 3*u + 3*i, -5*i = 3*u - 7. What is the common denominator of (-39)/(-90) + (-3)/u and -63/8?
40
Let c(i) = -17*i + 1. Let h = 42 - 22. Calculate the least common multiple of c(-1) and h.
180
Suppose 0 = 5*y + 4*t - 0*t - 44, 4*y - 44 = -t. What is the smallest common multiple of y and 44?
132
Let s(u) = u**2 + u + 88. Let p be s(0). Let c be 6188/p*112/2. Let z = -3933 + c. Calculate the common denominator of z and 4/7.
77
Let k = 4619/4 - 1149. Find the common denominator of k and 73/22.
44
What is the common denominator of (-18 - -20) + (-14)/12 and 37/10?
30
Let f = 11/323 - -335/646. Find the common denominator of f and 37/8.
152
Suppose 2*p - 6 = -k + 3*k, -4*p - 4*k + 12 = 0. Let u(g) = 3*g + 7. What is the smallest common multiple of 22 and u(p)?
176
Let h = -18 + 20. What is the lowest common multiple of h and 144?
144
Let k(t) = -2*t - 4. What is the least common multiple of 2 and k(-13)?
22
Let g = 0 + 6. Let v = 10 - g. Calculate the smallest common multiple of v and 3.
12
Suppose 3*u = -3*v - 126 - 42, -3*v = -3*u - 162. Let h = 77 + u. Calculate the lowest common multiple of h and 6.
66
Let o be (-43229 - -2)*94/(-6). Let a = 158468341/234 - o. Let g = a + 134/117. Find the common denominator of 49/16 and g.
144
Let l = 404939/4 + -100534. Suppose 2079 = -3*k + 3*j, -3*k = -0*j + j + 2071. Let f = l + k. Calculate the common denominator of -47/14 and f.
28
Let u = 19 + -15. Suppose -1 = 3*v - u. What is the lowest common multiple of 7 and v?
7
Calculate the common denominator of 29/21 and (-244)/6*(-3)/30.
105
Let j(l) = 2*l**3 + 4*l**2 - 2. Let m(d) = 3*d**3 + 5*d**2 - 3. Let b(t) = 4*j(t) - 3*m(t). Calculate the least common multiple of b(0) and 1.
1
Let s = -551/3 - -1205/6. Calculate the common denominator of s and -65/9.
18
Suppose 0 = -3*l - l + 28. Let n = -4 + 17. Calculate the smallest common multiple of n and l.
91
Calculate the smallest common multiple of ((-4)/(-5))/((-18)/(-405)) and 64.
576
Find the common denominator of (-189)/66 - 0/5 and ((-730)/24)/5 + 1.
132
What is the smallest common multiple of 4 and ((-23)/3)/(5/(-34 + 4))?
92
Let w = 272053/20 - 13608. Calculate the common denominator of w and (-84)/72 + 1*-3.
60
Let u(o) = -o**2 - 13*o - 15. Let l be u(-10). Let g = l - 5. What is the smallest common multiple of g and (-1 - -7) + -1 + 1?
30
Suppose -35312 = -6*y + y - m, -3*y + 21201 = -4*m. Let s = y + -70713/10. Calculate the common denominator of s and 221/18 - (-4)/18.
10
Let s = -1435 + 2789/2. Let b = 8 - 4. Calculate the common denominator of s and b*(-39)/(-9) + 2.
6
Let t be 5 + (2 + -2 - 3). Calculate the least common multiple of 18 and 42/t - (0 - -1).
180
Let r be -2 + (4 + -2 - -662). Let o be (-4)/(-2) + 5217/(-8). Let z = o + r. What is the common denominator of z and 73/18?
72
Let o be ((-1149)/(-1692))/((-1)/2). Let v = -9/47 - o. Let u = -10011 + 120203/12. Find the common denominator of v and u.
12
Suppose -24 = 5*z + 4*y - 86, -2*z - 2*y = -26. Suppose -s = 4*s - z, 4*s - 8 = 4*a. What is the common denominator of (194/(-4))/(11 - a) and 51/22?
22
Let l be 6*6/27*3. Let a(r) = 2*r**3 - 6*r**2 + 1. Let o be a(l). What is the common denominator of 61/2 and (-2)/o*150/(-8)?
22
Let f = -59/45 - -11/18. Let u = -1/646 + -26483/1938. Calculate the common denominator of f and u.
30
Let k be (1/7)/((-9166)/(-265786)). Let d = k + 2/4583. What is the common denominator of d and -117/10?
70
Let p = -30 - -34. Suppose 0 = 5*r + i - 11, -5*i + i = -5*r + 6. Suppose -4*v = c + 3, 1 = 4*c + r*v + v. What is the smallest common multiple of c and p?
4
Let c = 146/3 - 47. Let u = 6671/8 + -843. What is the common denominator of c and u?
24
Let v = 46687/10 - 4675. What is the common denominator of 75/16 and v?
80
Let b = 2495/804 - -21/67. Let a = -9 - -319/34. What is the common denominator of b and a?
204
Let c = -737213 + 5183266/7. Let n = 3247 - c. Calculate the common denominator of n and 4/(-7) - (-1 + 2).
7
Let b(m) = -m**3 - m**2 - m + 2. Calculate the lowest common multiple of b(0) and 7.
14
Let y = -306/61 - 259301/610. Let m = y + 431. Find the common denominator of 28/(-8)*(-95)/7 and m.
10
Let u = -5151/1106 - 9/158. Find the common denominator of u and (10/6)/((-15)/(-65)).
63
Let z = 15476 + -649949/42. Find the common denominator of z and -29/20.
420
Let s(r) = -46*r**3 + 3*r**2 - r - 2. Let a be s(2). Let x be 2/(-9) + (-2340458)/a. Let g = -6503 + x. What is the common denominator of -81/8 and g?
40
Let r = 12279/8 + -1538. Find the common denominator of 77/8 and r.
8
Let z = 43/494 + -2/247. What is the common denominator of 89/8 and z?
152
Suppose x = -3*x - 16. Calculate the common denominator of 97/2 and x.
2
Let p = 4572 + -36479/8. Calculate the common denominator of p and -23.
8
Let u(x) = x**2 + 7*x - 2. Suppose 0 = 3*z + 4*z + 56. What is the smallest common multiple of 5 and u(z)?
30
Let i be (-1 - (-4)/2)*-9. Let g = i + 13. Calculate the smallest common multiple of g*(9/6 - 1) and 3.
6
Let c = -6 - -2. Suppose 0 = 2*k - 45 - 45. Let i = k - c. What is the common denominator of 61/4 and i?
4
Suppose 0*k - k - 1095 = -3*d, 3*d = 4*k + 4335. Let u = k + 2101/2. Calculate the common denominator of 46/13 and u.
26
Let v = 2/583 - 27415/4081. Let s = 1028 + -19521/19. Let j = -385/57 - s. Calculate the common denominator 