
Suppose -5*f = -x - 7, -5*x + 0*f + 3*f - 13 = 0. What is the common denominator of 61/22 and (-49)/24 + x/(-4)?
264
Calculate the common denominator of 23 and (-26)/126 - (-36)/(-63).
9
Let y = 21 - 32. Let d = 15 + y. Calculate the lowest common multiple of 5*(-2)/(-4)*4 and d.
20
Let k be (-5)/(-15) - 3/9. Calculate the common denominator of 67/10 and k + (0 - (-524)/48).
60
Suppose m + 6 = y, 2*y + 5*m = 4*y - 24. Let q(i) = i + 3. What is the smallest common multiple of y and q(9)?
12
Let m = 8486 - -16583. Let q = m - 10261. Let f = -207423/14 + q. Calculate the common denominator of 77/16 and f.
112
Suppose -8 = 4*p, 2*p + 61 = 3*u - 3. What is the lowest common multiple of 24 and u?
120
Let r = -2 - 26. Let s = 44 + r. What is the lowest common multiple of 12 and s?
48
Let x(q) = -q**3 - 4*q**2 + q + 2. Let t(c) = -16*c**3 - c**2 + 1. Calculate the smallest common multiple of t(-1) and x(-5).
176
Suppose -t - 2*t = -4*d + 158, 4*d + 4*t - 144 = 0. Let n(h) = -h**2 - h - 18. Let k be n(0). Let z = d + k. Calculate the smallest common multiple of 14 and z.
140
Let v = 1897 - 3709/2. What is the common denominator of 97/8 and v?
8
Let r = 2 - -2. Suppose 0 = -3*g - 15, -r*p + 2*g + 29 = -13. Calculate the smallest common multiple of 16 and p.
16
Let s = 7 - -3. Suppose -35 = -7*b + 2*b. What is the lowest common multiple of s and b?
70
Suppose -4*y + m - 1 = 2*m, 5*m = 4*y - 29. What is the smallest common multiple of 27 and y?
27
Let j = -1/1968 + 15263/21648. Calculate the common denominator of 31/20 and j.
220
Let f(h) = 3*h**2 + 8*h - 4. Let n be f(-6). Calculate the common denominator of 2 + (-8)/11 + -2 and 14/(n/6 + -2).
11
Let t(y) = y**3 - 3*y**2 + 4*y - 3. Let h be t(2). Calculate the smallest common multiple of h*(22 - 0) + -2 and 18.
180
Let n = 58/49 - 1009/196. What is the common denominator of 23/20 and n?
140
Let m(w) = w**3 - 5*w**2 + 3*w + 4. Let j be m(4). Let t = -1 - j. What is the least common multiple of 12 and -24*t*(-1)/(-2)?
12
Let b(l) = l**2 + 8*l - 43. What is the smallest common multiple of 69 and b(-12)?
345
Let b be 30/(-9) + 2/(-3). Let a = 4 + b. Calculate the lowest common multiple of (a - (-4)/(-3))*-6 and 10.
40
Suppose -194 - 26 = -5*s. What is the common denominator of 4/6*117/8 and 91/(-36) + 11/s?
36
Suppose -4*o = -6*s + 3*s - 14, 5*s + 4*o - 30 = 0. Let n = -33083/84 + 2691/7. Calculate the common denominator of 0/s - (-97)/14 and n.
84
Let g(a) = -a + 21. What is the lowest common multiple of 86 and g(9)?
516
Let t(a) = -3*a + 1. Calculate the lowest common multiple of t(-6) and 7.
133
Let h(s) be the second derivative of s**4/12 + s**3/3 + 6*s**2 - 4*s. What is the lowest common multiple of h(0) and 8?
24
Let u be 610/228 - 1/3. Let i = u - -902/57. Calculate the common denominator of i and 139/6.
6
Let v = 13 - -1. Let a be 2/10 + 9/5. Suppose s = -a + 12. What is the least common multiple of s and v?
70
Let r(c) be the second derivative of 15*c**4/4 - c**3/6 - 3*c. What is the common denominator of -65/8 and r(1)?
8
What is the smallest common multiple of (-10)/8 + (-18)/(-8) and 1?
1
Suppose l + 2*m = 0, l - 2*m = -4*l + 60. Let s(a) = -a**3 + 3*a**2 + 6*a - 6. Let q be s(4). What is the smallest common multiple of l and 0 - -11 - (q + -2)?
110
Let u be (-2)/6 - 10797/9. Let d = 12011/10 + u. Let r = -171 + 3209/18. Find the common denominator of r and d.
90
Suppose 27 = 4*s - 69. Let y = 1457359/131000 + 2/16375. Calculate the common denominator of y and 58/10*(-30)/s.
8
Let m(h) = -2*h + 1. Let n be m(-1). Suppose 0 = 4*b - o - 26, n*b - 3*o + 13 = 4*b. Suppose 2*z = b*z - 50. What is the smallest common multiple of z and 5?
10
Suppose -2 + 4 = 2*q - z, -3*q + 3*z = -3. Let f = 10 + -6. What is the lowest common multiple of q and f?
4
Let s = 1/11554 - -571915/92432. Find the common denominator of 41/20 and s.
80
Suppose 0 = 5*w + t - 12, -w + 3 = -3*t + 7. What is the smallest common multiple of w and 5?
10
What is the least common multiple of 510/24 + 6/8 and 10?
110
Calculate the common denominator of 75/4 and 266/(-98)*(-10)/4.
28
Suppose 2*b + 45 = 7*b. Calculate the lowest common multiple of 4 and b.
36
Suppose -14 = -3*d + 16. Suppose 4*g + t = -g + 57, -2*t - 66 = -5*g. What is the lowest common multiple of d and g?
60
What is the common denominator of 23/9 and 0/(-3) - 94/28?
126
Suppose -2*b + 5*b + 14 = -4*k, 4*k + 26 = 3*b. Let t(i) = 5*i**3 + 2*i**2 + i. Let q be t(-1). Calculate the common denominator of -42 and 1 + b + q - 0.
1
Suppose 5*p = 2*q - 67, -q + 2*p + 31 = -0*p. Suppose -r = r - 5*a - q, a + 13 = -4*r. What is the common denominator of 1/8 and (-1090)/56 + r/7?
8
Let s be (3*4)/(6/(-63)). What is the common denominator of 16/5 and (-2)/9 - (-116)/s?
35
Let c = 11 + 20. Find the common denominator of 63/20 and c/(-4)*(-1 - 1).
20
Let f(o) = -o**3 + o - 2. Let g be f(-2). What is the common denominator of -93/10 and 0 + g/((-40)/(-7))?
10
Let n = -3 + -17. Let h be (100 + 2)*(-31)/n. Let v = h + -638/5. Calculate the common denominator of -5/8 and v.
8
Let w = -35 - -20. Let a = 63 + w. Find the common denominator of -21/20 and (-10)/(-4)*(-90)/a.
80
Suppose -2*t = -17 - 1. Calculate the common denominator of (15 - -3)*t/(-20) and (91 - (4 + -2))/((-6)/1).
30
Let k(n) = 4*n**3 + n**2 - n. What is the lowest common multiple of 3 and k(1)?
12
Let c = -5632 - -67645/12. Find the common denominator of c and 4/10*310/88.
132
Let d = 18 + -6. What is the common denominator of d/32*(-23)/3 and (-1)/6*(-6 - -1)?
24
Suppose 47 = 3*o - 5*d, 0 = -4*o - 0*d - 3*d + 53. Calculate the least common multiple of o and 22.
154
Suppose 2*l - 5*u = 17, -2*u - 10 = -5*l + l. Let a = -41 + 51. What is the lowest common multiple of l and a?
10
Let x = 116 - 98. Calculate the smallest common multiple of x and 24.
72
Let i(b) = b - 11. Calculate the lowest common multiple of i(13) and 10.
10
Let g(a) = -22*a. Let i be g(-3). Find the common denominator of -10*-1*3/i and 58/4 - -2 - 2.
22
Let m(c) = -4*c**3 - 3*c**2 + 3*c - 4. Let a be m(-4). Let u = 999/5 - a. What is the common denominator of u and 95/4?
20
Let o(d) = 9*d + 4. What is the least common multiple of o(2) and 22?
22
Let t(w) = w**3 + 5*w**2 + 4. Let h be t(-5). Calculate the common denominator of 19/12 and 684/440 + h/10.
132
Let k = 9043051303356017/342408 - 211281308999/8. Let g = k + -1/14267. What is the common denominator of -59/18 and g?
36
Let t(u) = 10845*u + 3. Let b be t(-6). Let c = b + 845465/13. Let s = c + 2731/117. Calculate the common denominator of s and -11/8.
72
Let g(l) = -l**2 - 5 - 2*l - 10*l + 4*l + 2*l. What is the lowest common multiple of 4 and g(-4)?
12
Let h = 17 - -10. What is the smallest common multiple of h and 30?
270
What is the common denominator of (-5)/(25/130)*1/108 and -51/10?
270
Let v(u) = u**3 + 5*u**2 - 10*u - 28. Let d be v(-6). Let n = -3 + 2. What is the common denominator of -93/2 and (-25)/9 + (d - n)?
18
Let u = 1548 - 15539/10. Calculate the common denominator of -25/2 and u.
10
Let l be 2*1 - (-3566)/(-18336). Let j = 4/573 + l. What is the common denominator of 3*(-543)/(-162) + -3 + 0 and j?
144
Let b(h) = -h - 36. Let w be b(0). Calculate the common denominator of 153/w + 1/(-4) and -22/7.
14
Let m be 725/105*(-2)/(-6). Let q = -14/9 - m. Find the common denominator of (-1)/2*(-296)/44 and q.
77
Let p = -23 + 34. Let d = -8 + 23. Let g = d - 9. What is the smallest common multiple of g and p?
66
Let w(p) = -p**3 + 9*p**2 - 8*p + 4. Suppose -5*s = -0*s - 15. Calculate the least common multiple of w(8) and s.
12
Let f(h) = 5*h + 31. Calculate the least common multiple of f(-6) and 37.
37
Let i be -2 + (-4)/(-2) + -10525. Let h = 20140 + i. Let a = -172963/18 + h. Calculate the common denominator of a and -101/12.
36
Let n(j) = -12*j - 12*j - 6*j + 24*j. Calculate the lowest common multiple of 16 and n(-5).
240
Let q = 103569/16 - 256223/48. Let w = 1131 - q. What is the common denominator of w and -41/8?
24
Suppose 3*b = 6*b + 2*q - 16, b - 2*q - 16 = 0. Calculate the smallest common multiple of 4 and b.
8
Calculate the common denominator of 127/6 and ((-33)/2)/(70/21).
60
Let b = 18 + 6. Suppose -b = -u - u. Calculate the smallest common multiple of u and 22.
132
Let x