4
Let n = 106948/86085 + 4/1913. Find the common denominator of n and 83/33.
495
Let c = -2992 + 17867/6. Calculate the common denominator of c and -91/8.
24
Let i be (-2)/(-5)*(-2 - 3). Calculate the common denominator of i/4*68/12 and 70/24 - 1/(-3).
12
Find the common denominator of 54/5 and 188/(-190) - (-20)/100.
95
Let l be 0 - (-2 + -3 + 2). Suppose y - l*y = -36. What is the least common multiple of 4 and y?
36
What is the common denominator of ((-34)/(-48) - 12/18)*-146 and 4?
12
Let q = 0 - -12. Let x(k) = k**2 - 10*k - 6. What is the smallest common multiple of x(q) and 16?
144
Suppose 4*h - 4*c = 24, 5*c = 1 - 11. What is the common denominator of 21/(-66) + (-2)/h and 11/2?
22
Let n be 3/(-9) - (-8)/(-3). Let k = 0 - n. Let r = 8 + -5. Calculate the least common multiple of k and r.
3
Find the common denominator of (51/170)/((-12)/970) and (-3)/2*(-47)/(-15).
20
Suppose h = -4*h. Suppose 0 = -2*i - c + 8, h*i + 4*c = i - 13. Suppose -4*v - 48 = -4*l, i*v = -l + 2*v + 4. Calculate the least common multiple of l and 6.
30
Suppose -40 = -5*t - 3*y, -2*y + 6 - 22 = -2*t. Suppose -2*f + 14 = -30. What is the least common multiple of t and f?
88
Let k(v) = 2*v**3 - 12*v**2 - 5*v - 10. Let j be k(9). Let y = j + -6905/16. Find the common denominator of -19/22 and y.
176
Suppose -5*a - 5*w + 150 = 0, 2*a + 2*w - 53 = 7*w. Let t = a - 13. What is the lowest common multiple of t and 3/(-6) - 34/(-4)?
16
Let s(d) = 2*d**3 - 7*d**2 + 5*d + 4. What is the lowest common multiple of 14 and s(5)?
728
Let h be (-8)/(-28) - (-24)/14. Suppose -5*n - 3*i = -3, 3*i + 4 + 2 = -h*n. Calculate the least common multiple of 10 and n.
30
Let q be 1 + 3/((-6)/4). Let h be (-2)/156*-103 - q. Let t = h + -5/117. Find the common denominator of 79/20 and t.
180
What is the common denominator of -37/15 and (-142)/(-24) + (-3)/(18/(-3))?
60
Let x(r) = -r**2 - 11*r + 3. Let v be x(-6). Let o = -60 + 56. Calculate the least common multiple of 3/(-12) - v/o and 8.
8
Let f(z) = z + 32. Calculate the lowest common multiple of 3 and f(-5).
27
Let h = 67 - 35. Calculate the lowest common multiple of 16 and h.
32
Let r = 48/25 + -193/400. Calculate the common denominator of r and (260/(-14))/(-1 - 3).
112
Let o = -152 + 170. What is the lowest common multiple of 14 and o?
126
Let c = 2341/567 + 8/567. Find the common denominator of c and -50/59.
413
Let a = -1646656897221/3854632 - -58523387/137. Let v = -2/3517 + a. Let c = 126375/22 - 5743. Calculate the common denominator of c and v.
88
Calculate the common denominator of (-85)/(-8) - (2 - 2) and 13/9.
72
Suppose 0 = 2*j + 2 - 18. Suppose 0 = 9*g - 119 - 61. What is the smallest common multiple of j and g?
40
Let p be (-4)/(-10) - (-196)/35. Let x = -6 + p. Suppose i - 2*u - 12 = x, 2*i + 3*u = 4*i - 29. Calculate the lowest common multiple of i and 4.
44
Let z = -66 + 75. Calculate the lowest common multiple of z and 40.
360
Let g = 406253 - 4068363/10. Let j = -580 - g. Suppose 6*l = 3*l - 21. What is the common denominator of j and l?
10
Let q(y) = y**3 - 8*y**2 - y + 9. Suppose 7 = 3*r - 4*o - 9, 0 = -5*r - 4*o + 48. What is the least common multiple of 5 and q(r)?
5
Let l = 41 + -21. Calculate the least common multiple of 26 and l.
260
Let m = -2/52579 + 240128299/157737. Let h = m - 45499/30. What is the common denominator of -107/6 and h?
30
Let k(s) be the third derivative of -s**4/12 - s**3/6 + 6*s**2. Calculate the smallest common multiple of 5 and k(-7).
65
Let b = 69863/28 - 2496. Find the common denominator of b and -37/8.
56
Suppose 2*u = 2*w + 2, -w + 5*u = u + 4. Suppose w = -t - 5*a + 76, -2*a = -2*t - 0*a + 128. Calculate the lowest common multiple of 8 and t/12 - (-1)/(-2).
40
Let a be (0/(-5))/(1 + -3). Suppose 2*h = -2*c + 22, a = -2*h - 0*h - 3*c + 23. Calculate the least common multiple of 10 and h.
10
Let d = 21 + -5. Let p = d + -45/2. Calculate the common denominator of p and 67/10.
10
Let y = -62/63 - -16/21. What is the common denominator of y and 16/3?
9
Suppose -3*c - 14 = -41. Suppose 2*q + 35 = 7*q. What is the lowest common multiple of c and q?
63
Let q = -6 - -8. Calculate the smallest common multiple of 9/7 + 4/(-14) and q.
2
Let l = 1383/214 - -4/107. What is the common denominator of 47/92 and l?
92
Let d(v) = -3*v - 9. What is the least common multiple of d(-6) and 10?
90
Let j be ((-12)/15)/((-20)/(-14)). Let h = 1153/50 + j. Let g = 2/24225 + 1816847/339150. What is the common denominator of h and g?
14
Suppose -8*k + 10 = -3*k, p - 11 = 2*k. Suppose -m + 9 = 5*y - 3, 2*m + y = p. Let j = 100 - 97. What is the smallest common multiple of j and m?
21
Let z be (-1 + 6)/(2 + -1). Suppose 0 = z*l - 4*o - 76, 65 = 6*l - 2*l + o. What is the lowest common multiple of l and 22?
176
Let m = 6 - -27. Calculate the smallest common multiple of 21 and m.
231
Suppose v + 3*v = 40. What is the lowest common multiple of v and 18?
90
Let c = -10 + 15. Let d = 0 + c. Calculate the smallest common multiple of d and 6.
30
Let j(r) = r + 20. What is the smallest common multiple of 6 and j(0)?
60
Let k = -6990 + 9831. Calculate the common denominator of (-4)/(-14) + k/126 and (-2)/(-6)*94/12.
18
Let a = -1923/8 + 479/2. Find the common denominator of -117/14 and a.
56
Let n(y) = y**2 + y - 6. Let u be n(6). Suppose -4*t + 4*w = -56, 2*w = -3*t + t + u. What is the smallest common multiple of 6 and t?
48
Let l(w) be the third derivative of w**6/120 + 3*w**5/20 - 5*w**4/24 + w**2. Let p be l(-6). Calculate the common denominator of 87/16 and p/16*(-2)/(-12).
16
Let a = 16291/4 - 4053. Find the common denominator of -81/20 and a.
20
Suppose -2*q = -2*w, 2*w - 6*w = -q - 9. Let t = w + 6. What is the smallest common multiple of t and 10?
90
What is the common denominator of 29/4 and ((-38)/12)/((-24)/(-40))?
36
Find the common denominator of (-1 - 13/(-12))*202 and -85/6.
6
What is the least common multiple of 6 and 4/16 + 94/8?
12
Let g be (-6)/(-4)*(-40)/(-12). Let b = 1 + g. What is the lowest common multiple of b and 6?
6
Suppose 5*t - 11 = -91. Let r be 4/t + 637/(-44). Let h = -735/88 - r. What is the common denominator of 15/11 and h?
88
Let r = -218652 + 1097006/5. Let d = r - 761. Find the common denominator of d and 20/7.
35
Suppose -2*i = -5*d - 51, i + 3*d = -0*i - 2. Suppose 0 = w - 6*w + 15. Let n = i + w. What is the lowest common multiple of n and 10?
80
Suppose -o + 67 = 3*i, -3*i - 8*o + 5*o + 57 = 0. Calculate the lowest common multiple of 18 and i.
72
Let t = 1281/46 + 15/23. What is the common denominator of t and (12/27)/((-2)/12)?
6
Let f be (0/1)/(-1 + -1). Suppose 0*w + 5*c = -3*w + 10, f = -2*w - 3*c + 7. Let t(p) = -4*p - 3. What is the lowest common multiple of w and t(-3)?
45
Let r be (-4)/6*531732/160. Let f = 2211 + r. What is the common denominator of 65/4 and f?
20
Let v = 2 - -5. Suppose -3*c = 4*x, 2*x + 3*x + 4*c = -1. Suppose x = -y + 10. Calculate the lowest common multiple of y and v.
7
Suppose -4*k + 4*o - 4 = 0, 0 = -4*k + 2*o + 5 - 1. Calculate the common denominator of (k - (-94)/16) + 0 and -121/6.
24
Let h(f) be the third derivative of f**5/60 - f**4/4 - 5*f**3/3 - 4*f**2. What is the least common multiple of 14 and h(8)?
42
Let k(x) = -x**3 - x**2 + 3*x - 3. Calculate the lowest common multiple of 16 and k(-3).
48
Let i = 9311 + -43118. Let a be -2 + i/1845 - 3. Let u = 2/205 - a. What is the common denominator of u and -1/6?
6
Let h(v) = -6*v - 1. Let q be h(-1). Suppose -3*k - 70 = -q*m, -3*m - k = k - 42. Calculate the lowest common multiple of m and 14.
14
Let s be 87/27*(-87)/(-2). Let w = 1693/12 - s. Calculate the common denominator of 549/66*(-1)/(-3) and w.
132
Suppose 3*k = z + 12822, -10271 + 27367 = 4*k + 4*z. Let d be (k/7)/(12240/(-98)). Let s = 19/340 - d. What is the common denominator of 19/20 and s?
180
Let d(g) = -g**3 - 2*g**2 - 2*g - 3. Calculate the lowest common multiple of d(-2) and 6.
6
Let x = -12 - -14. What is the lowest common multiple of 9 and x?
18
Let v = 20089/18 + -1114. What is the common denominator of -83/8 and v?
72
Let w(m) = -4*m. Let u be w(1). Let v be ((-6)/(-4))/(3/u). Calculate the common denominator of 9/16 and ((-1)/(-36))/(v/(-452)).
144
Let y = -5 + 6. What is the least common multiple of 4 and (1 + y)*(13