+ -5715. Find the common denominator of -61/4 and l.
36
Let u = 133/12 - 43/12. Find the common denominator of 6/17 and u.
34
Let b = -82/7 - 123/14. Let v = 0 + 2. Calculate the common denominator of b and (v/12)/((-10)/174).
10
Suppose x + 4*r = -3, 3*x - 11 = -2*r - 0*r. Calculate the lowest common multiple of (-1)/6*2*-18 and x.
30
Let a(x) = -3*x + 59. Suppose 2*i + 10 = i. Let d = i + 18. What is the smallest common multiple of d and a(17)?
8
What is the common denominator of 89/8 and ((-17)/8 - -2) + (-3870)/(-880)?
88
Suppose 10 = x + 1. What is the least common multiple of x and 27?
27
Let g(f) be the second derivative of f**4/6 - 7*f**3/6 - f**2 - 3*f. Let w be g(6). What is the common denominator of -11/18 and 2 + (-38)/w - 2?
126
Suppose 5 = -q - 1. Calculate the least common multiple of 2 and (-86)/q - (-1)/(-3).
14
Find the common denominator of 121/10 and 9*((-33)/(-36) - 0).
20
What is the least common multiple of 5 and 1/(-9) + 715/117?
30
Suppose -5*w = -j - 5226, 7*j - 4*j + w = -15598. Let m = j + 26181/4. Let v = -1332 + m. What is the common denominator of v and -45/2?
4
Let p(s) = s**2 - s - 4. Let v = 5 + -5. Let h be p(v). Calculate the common denominator of -83/2 and ((-1)/h)/((-49)/(-1260)).
14
Let q(i) = 28*i**3 + i**2 - i. Let a be q(1). Suppose -5*w + 15 = 0, 0*w = -p - 2*w - 6. Calculate the smallest common multiple of 6 and a/(-6)*18/p.
42
Let j be (-2)/8 + 516/16. Let a = 46 - j. Calculate the smallest common multiple of (11 + -13)/((-2)/8) and a.
56
Let r(m) = 0*m - 4*m + 0*m + m**3 - m**2 - 1. Let u be r(3). Suppose -3*w - 64 = -u*n, w - 4*w = 5*n - 46. What is the smallest common multiple of 7 and n?
77
Suppose -5*m + 39 + 16 = -5*t, -2*m + 31 = -3*t. Let i(q) = -27*q + 39*q - q**2 - 22*q - 7. Calculate the lowest common multiple of i(t) and 10.
10
Let k(s) = 4*s**2 - 4*s - 4. Calculate the lowest common multiple of 18 and k(3).
180
Let t = 112 + -110. Suppose 24 = -4*v + 68. Calculate the least common multiple of v and t.
22
Let c = -8 - -12. Let s = -3 - -4. Suppose -p = -5*o - 11, -p - c*o + 3 = s. What is the smallest common multiple of p and 3?
6
Let b be ((-96)/(-28) + -3)*7. Suppose -4*r = -2*w - 30, -b*r + 7*r - 5*w = 33. Calculate the least common multiple of 6 and r.
42
Find the common denominator of 4/18 + 546/108 and 16/33.
198
Let o(z) = -z**2 - 9*z - 5. Let u be o(-7). Calculate the common denominator of ((-1)/u)/((-6)/639) and 47/2.
6
Let i be (1873/(-57))/(-2 - -3). Let y = i + 381/38. What is the common denominator of y and (17/(-18))/(-1) - 0?
18
Let o = 4 - -3. Let w = -4 - -8. Suppose 2*a - 3*a + w = 0. What is the least common multiple of o and a?
28
Let n = -106571336/89133 + 87420/73. Let b = n + -8/111. Find the common denominator of -137/6 and b.
66
Let l(t) = t**2 + 2*t + 7. What is the smallest common multiple of l(-3) and 6?
30
Let u(y) = y + 0*y**2 + 0*y + 4*y**2 + 1. Let g be u(-2). Let s = g - 6. Calculate the smallest common multiple of 1 and s.
9
Let x(c) = c**2 - 3*c + 1. Let p(l) = l + 20 + 9*l + 10*l**2 - l**3 - 6. Calculate the lowest common multiple of x(5) and p(11).
33
Let l = 2299/116 + 27/29. Calculate the common denominator of l and ((-4)/6)/(18/(-192)).
36
Let p = -2/409 + 61795/7362. Find the common denominator of p and 53/9.
18
Suppose 18 = 4*f - 62. Let a be (0 - 2)/(-1 - 0). Let x = a + 4. What is the smallest common multiple of x and f?
60
Find the common denominator of 95/8 and 5/(-4) - -1 - 110/(-16).
8
Let l(p) be the second derivative of p**5/20 - 5*p**4/12 - p**3/2 - p**2 - p. Let n be l(4). Calculate the common denominator of ((-20)/24)/(22/n) and 145/6.
66
Suppose -u - 2 = -3*m, 3*m - 2 = -u + 4*m. Calculate the least common multiple of 17 and u.
68
Let o = 1/202495 + -3704241041/1214970. Let k = -3059 - o. What is the common denominator of -63/4 and k?
12
Let k(t) be the second derivative of 5/6*t**3 - 3*t**2 + 0 + 2*t. Calculate the lowest common multiple of k(4) and 20.
140
Suppose 0 = 3*c + 6*c - 72. Suppose -m = 5*n - n - 36, 0 = 4*m - 16. What is the lowest common multiple of c and n?
8
What is the common denominator of (0 - 1) + (-60)/(-14) and 11/10?
70
Suppose -3*i = 5*h + 27 + 17, -i - 24 = 4*h. Let s be (i/(-12))/((-3)/9). Let j = 22 + s. Calculate the smallest common multiple of 4 and j.
20
Let u(p) = p**3 - 4*p**2 + 5*p - 4. Let r be u(4). Let a(g) = -6*g**2 - 4*g - 2. Let t be a(-2). What is the common denominator of 4/6 + r/t and -51/5?
45
Let n = -1 - -59. Calculate the lowest common multiple of 6 and n.
174
Let h = 1083/2 - 8603/16. Let k = 200705/18 - 11142. Calculate the common denominator of h and k.
144
Calculate the lowest common multiple of 25 and -6*(-2)/48 + (-22)/(-8).
75
Let m be (-16)/40 + (-105007)/16920. Let x = 8/423 - m. Find the common denominator of x and -79/10.
40
Suppose -86 + 31 = -5*a. Calculate the least common multiple of 3 and a.
33
Let q be 32793/10 - (-1 - 1). Let v = -3272 + q. Let l = 3581/222 + 26/37. What is the common denominator of l and v?
30
Let v be 1 + (-8139)/(-6) + 1. Let j = v + -1402. What is the common denominator of 11/(-12) + 0 + -1 and j?
12
Suppose -4*m = 2*g - 2340, 7*m = 3*m - 4*g + 2336. Let z = -11713/20 + m. Calculate the common denominator of 23/4 and z.
20
Let a = 1903 - 41881/22. Let b = -2477/876 - -30/73. What is the common denominator of a and b?
132
Let k be 15/(-6) + (-3)/(-2). Let p be -3 + 2 + (k - -2). Calculate the common denominator of 73/6 and p/(-6) + (-2)/(-9).
18
Let o(t) = 2*t**2 + t - 2. Let q be o(-2). Suppose q*a = w + 8, 2*a - 4 = -3*w - 2*w. Calculate the least common multiple of 9/3*(-12)/(-18) and a.
2
Find the common denominator of (-30 + 3)*3/6 and 97/2.
2
Let y(l) = -4*l + 4. Let r(d) = -2*d + 6. Let x be r(5). Let f be y(x). Suppose -v = v - f. Calculate the least common multiple of 11 and v.
110
Suppose 4*a - 2*d + 32 = -32, -d = 0. Let x = a - -22. Suppose x*v - 4 = 2*v. What is the least common multiple of 2 and v?
2
Let d(h) = -2*h**3 - 9*h**2 + 14*h + 7. Let b be d(-9). Let v = -1173/2 + b. What is the common denominator of v and 1 + 0 - 38/44?
22
Let v = -1 - -2. What is the lowest common multiple of 11 and v?
11
Suppose -4*p = 3*y + p - 45, -3*p + 19 = y. Calculate the common denominator of y*(24/33)/(-4) and -3/2.
22
Suppose -9 = -8*q + 7*q. What is the smallest common multiple of 30 and q?
90
Suppose 7*b + 12 = 9*b. Let n(j) = j**2 - 5*j - 10. Calculate the lowest common multiple of b and n(7).
12
Let s = 9341/2013 - 34/183. What is the common denominator of 37/8 and s?
88
Let a be 1487826/(-3928)*5/(-150). Let d = -2/2455 + a. What is the common denominator of 3/28 and d?
56
Suppose -67 = -5*o + 83. Suppose 5*y + 0*y = o. What is the lowest common multiple of 18 and y?
18
Suppose 8*n - 3*n = -490. What is the lowest common multiple of n/(-6) - 2/6 and (5/4)/((-13)/(-208))?
80
Let x = -37663/90 + 2096/5. Let g = -2/75 - 3071/150. What is the common denominator of x and g?
18
Let l = -349 + 354. What is the least common multiple of (-2)/(-3) + 25/3 and l?
45
Let r = 1441 - 4835/3. Let j = r - -751/6. Find the common denominator of j and 11/16.
16
Suppose -z - 9 = -4*z. Suppose 4*p - 3*p - 10 = o, -p = z*o - 2. Calculate the smallest common multiple of p and 7.
56
Suppose -2*q + 1 + 3 = 4*f, -5*f = -2*q + 13. Let s(m) be the first derivative of 2*m**2 - 4*m + 1. Calculate the smallest common multiple of 22 and s(q).
132
Let z = -2740 + 1396. Let m = z - -3985/3. What is the common denominator of m and -97/6?
6
Let o(v) = -1 - 10*v + 9 - v**2 + 3*v**2. Let w = -4 + 16. Calculate the smallest common multiple of o(6) and w.
60
Suppose 0 = 3*o - 0*o - 4*y - 14, 0 = o - 4*y + 6. What is the lowest common multiple of 4 and o?
20
What is the least common multiple of 18 and 31/4 - (-6)/24?
72
Let k(v) = -v**3 + 2*v**2 - 2. Let g be k(2). Let b be (g/68013)/(2/336246). Let a = b - 3/5038. Calculate the common denominator of a and -119/12.
36
Let i = 45259/12 - 3780. Calculate the common denominator of -43/18 and i.
36
Let u = 39577/360 + -2675/24. Let v be ((-1)/(-15))/((-18)/(-75)). Let o = v - u. What is the common denominator of o and -91/4?
20
Suppose -38 = -0*u - 2*u. Suppose -5 = -b, 2*s - u = s - 3*b. Calculate the lowest common multiple of s and 4