.
60
Suppose 0 = 6*d - d - 550. Suppose 2*m - d = -3*m. What is the smallest common multiple of m and 12?
132
Suppose 3*u - 2*o = 11 + 12, 4*u - 59 = -3*o. Suppose 4*s + u = -3*a + 60, -5*a = -3*s + 15. Calculate the smallest common multiple of 9 and s.
90
Find the common denominator of (-21)/(-2)*(-2 - (-192)/135) and -145/24.
120
Calculate the common denominator of 0 - (41/(-10))/(-1) and (-5 + 22)*((-28)/(-10) + -3).
10
Let d = -2032 + 22320/11. Find the common denominator of 37/7 and d.
77
Let w be 1410/48*(-55332)/50. Let d = w + 32485. Let h = 21 + d. Calculate the common denominator of 9/10 and h.
20
Let j = 10023 + -170463/17. Let i be (-96)/(-34)*49/10. Let z = j + i. What is the common denominator of z and -17/4?
20
Let v(n) = n**3 - 2*n + 14. What is the least common multiple of 8 and v(0)?
56
Suppose -6*p + 2*p + 8 = 0. What is the least common multiple of p and 6?
6
Let x = 6 - 6. Suppose h - 2 = -x. What is the lowest common multiple of 10 and h?
10
Suppose -2*r + 17 - 1 = 0. Suppose l + 3*l = 28. Calculate the lowest common multiple of l and r.
56
What is the common denominator of 23/87 and (38/5)/(-6 - 0)?
435
Suppose 0 = -5*t + 2*t + 6. Suppose -p = t*p - 6. Calculate the smallest common multiple of 2 and p.
2
Suppose 0*c - 5*c + 20 = 0. Let u be (-5)/c*(5 - 1). What is the common denominator of ((-415)/(-12))/u - 2 and -39/8?
24
Let r(t) = t**2 + 4*t + 2. Let f be r(-3). Let q(l) be the first derivative of -10*l**2 - 7. Calculate the smallest common multiple of q(f) and 8.
40
Let q be 14/6 - (-1)/(-3). Let m be (-2)/3*6/q. Let x(s) = s**3 + 2*s**2 - 4*s - 3. Calculate the least common multiple of x(m) and 9.
45
Let h = 5 + -5. Suppose -c + 18 = -h. Calculate the least common multiple of 14 and c.
126
Let r = 1 + 0. Find the common denominator of (4/10)/(12/505) and 26/(-20) - (r - 3).
30
Let i(n) = 4*n - 10. Let h be (-1)/3 - (-88)/12. What is the smallest common multiple of 10 and i(h)?
90
Suppose 2*p - 5*p + 12 = 0. Suppose -1571 = p*d + 833. Let b = -13297/22 - d. Find the common denominator of -81/16 and b.
176
Let y be (17*-2)/(-2) - -2. Let p = 3 + y. Suppose -4*q = -2*k - p, -3*q - k - 32 = -8*q. What is the smallest common multiple of 4 and q?
28
Let j be 348/27 + -2 - -3. Let h = j - 650/63. Calculate the common denominator of h and 74/3.
21
Let k = -12/671 - 38594/18117. Find the common denominator of k and -37/51.
459
Let u = 143/849 - -811027/28866. Let w = u + 21/17. Calculate the common denominator of ((-16)/24)/((-16)/(-158)) and w.
12
Let p(l) = -l**2 + 5. What is the lowest common multiple of 10 and p(0)?
10
What is the common denominator of (-273)/54*-1*3 and (-1142)/(-520) - (-10)/65?
60
Let b = 0 + 25. Let w = b - 23. What is the smallest common multiple of 9 and w?
18
Let s = 1091 + -23943/22. Calculate the common denominator of s and -1/5.
110
Let p = 4418 - 44111/10. Calculate the common denominator of p and -109/6.
30
Let d = 2/9061 - 425903/163098. Let y = 39194611/72 - 544433. Let o = 502/9 + y. Find the common denominator of d and o.
72
Let g = -7047/4 - -1777. Find the common denominator of g and 101/24.
24
Suppose 3*w = 4*w + 2. Let z be (7/(45003/18))/w. Let x = 100691/21430 - z. What is the common denominator of -31/2 and x?
10
Let l(g) be the third derivative of -g**6/120 - g**5/60 + g**3/3 - g**2. Let q = 12 + -14. What is the smallest common multiple of 4 and l(q)?
12
What is the common denominator of (-2)/(-8)*166/4 and 3/12 + (-61)/(-36)?
72
Let y = -2597/8 - -319. Calculate the common denominator of y and -42/13.
104
What is the lowest common multiple of 2 - 1*20/(-16)*8 and 28?
84
Suppose -5*z + 3 = -17. Suppose -47*x = -51*x + 16. What is the smallest common multiple of z and x?
4
Let v(x) = x**3 + 8*x**2 - x. Calculate the least common multiple of 18 and v(-8).
72
Let t = 4367/5 + -69437/80. Calculate the common denominator of t and 59/6.
48
Let k = -153/140 + 65/14. Let r(w) = -w. Let i be r(4). What is the common denominator of k and (-2023)/1078 - i/14?
220
Let p(v) = -v**2 - 10*v - 1. Let f be p(-7). What is the common denominator of (12 + 2)*13/f and -25/4?
20
Let h = -4 + -15. Calculate the common denominator of -109/20 and (h/(-4))/(10/(-12)).
20
Suppose 3*v - 10 = -2*v. Let o = v + -2. Suppose -4*k + o*k = -16. What is the smallest common multiple of 14 and k?
28
Let s(j) = -3*j - 1. Let q be s(-4). Let w = -1 + q. Let p = -2 - -4. What is the least common multiple of w and p?
10
Let r(s) = -s**3 + 3*s**2 + 6*s - 2. Suppose 0 = h - 8 + 6. What is the lowest common multiple of h and r(4)?
6
Suppose 2*v = -3*v + 80. Let l = -35/4 + v. Let a = -1163/84 + 2/21. Find the common denominator of a and l.
4
Let y(l) = l + 4. Let d be y(0). Suppose -d = -3*w - w. What is the lowest common multiple of w and 8?
8
Let u(n) = 10*n**2 - 1. Let j be u(1). Let b(h) = h**2 - 10*h + 11. Let g be b(j). Suppose -g*m + 3 = -3. Calculate the lowest common multiple of m and 3.
3
Let n(w) = -3274*w - 3. Let l be n(-6). Let g = 432015/22 - l. What is the common denominator of -61/24 and g?
264
Calculate the common denominator of (-534)/18*(-1)/2 and 47/18.
18
Let t(r) = 6*r + 2. What is the smallest common multiple of t(1) and 22?
88
Calculate the smallest common multiple of 6 and ((-100)/24 + 4)*-2*60.
60
Calculate the common denominator of 2/12 - (-852)/(-144) and 9/8.
8
Let w = -158 + 1767/11. Calculate the common denominator of w and -1/8.
88
Let f be 1 - (-26 - (-12)/(-4)). Suppose 77 - 26 = 3*s + 5*y, 3*s = 2*y + f. Calculate the smallest common multiple of 14 and s.
84
Let g be ((-60)/(-9))/((-2)/(-6)). Let k = g - 10. Calculate the smallest common multiple of 18 and k.
90
Let c = -44 + 309/7. Calculate the common denominator of c and -24.
7
Let m(n) = -2*n + 4. Suppose 4*z - 6 = z. Suppose -z*a - 116 = -5*o, 2*a - a = 3*o - 69. What is the least common multiple of m(-3) and o?
110
Let j = 44 + -37. Calculate the lowest common multiple of j and 6.
42
Suppose 26*b - 24 = 158. Calculate the smallest common multiple of 16 and b.
112
Let d(s) = s**2 + 3*s + 6. Let o(z) = -z**2 - 6*z - 11. Let x(v) = 5*d(v) + 3*o(v). Calculate the smallest common multiple of 11 and x(3).
66
Suppose w = -0*w + 3. Suppose 5*q = 2*f - 77, -76 = -5*f + w*f + 4*q. What is the common denominator of (-830)/f*(-1)/5 and -85/4?
36
Let x = -7 + 19. Find the common denominator of 4/10 - 144/15 and (-8)/x - 38/(-4).
30
Let c = -4 + 8. Suppose 0 = q - 3*i + 6, 42 + 3 = -c*q + 5*i. Find the common denominator of (-196)/q - 6/9 and -27.
5
Let i = 49/2 - 113/4. Let v = 5279/3 + -1744. What is the common denominator of i and v?
12
Let x(c) = c + 9. Let z be x(-13). Let k be z/(-14) - 96/(-56). Suppose 2*g + 2*r - 16 = 0, g - 4*r = -g - k. What is the smallest common multiple of g and 3?
15
Calculate the common denominator of 29/10 and ((-1)/(-8))/(6/536).
30
Suppose 4*p = -5*s + 29, 0 = 6*p - 4*p + 8. What is the lowest common multiple of s and (8 - -1) + (0 - -1)?
90
Let t = 96 - 60. Calculate the least common multiple of 32 and t.
288
Let j = -10 - -14. Suppose 3*m + 38 = 2*f + j*m, -70 = -4*f + m. What is the lowest common multiple of f and 21/(((-3)/2)/(-1))?
126
Let l(w) = 2*w. What is the common denominator of 1/2 and l(-4)?
2
Let j(m) = -m**3 + 11*m**2 - 8*m - 9. Calculate the lowest common multiple of j(10) and 20.
220
Find the common denominator of -1/4 and (-21)/21 + 166/240.
120
Suppose 5*d + 4 = -3*s, 0*d - 2*d = 4. What is the smallest common multiple of s and 11?
22
Suppose 3*w = w + 10. Suppose -5*h = w*g - 65, 2*h + 12 = 4*g - 2*h. Calculate the smallest common multiple of g and 10.
40
Let t(j) = -j**2 - 7*j - 6. Let h be t(-6). Suppose 40 = -h*s + 2*s. Suppose -5*w + 23 = -67. Calculate the smallest common multiple of s and w.
180
Let k = 0 - -3. Let d(i) = -1 + 6*i + k*i**2 + 0*i**2 - 4*i**2. What is the lowest common multiple of d(5) and 20?
20
Suppose 0*d + 4*d = -5*c - 87, 5*d = -15. Let h = -9 - c. Calculate the lowest common multiple of h and 18.
18
Suppose -3*p + 12 = 5*t - 63, -t - 3*p + 15 = 0. What is the lowest common multiple of 12 and t?
60
Let c = 226 + -204. What is the lowest common multiple of c and ((-1)/2)/(2/(-56))?
154
Let i(s) = -s**3 - 7*s**2 - 7*s - 5. Suppose 5*u - 27 = 2*u. Let b = -5 + u