a. What is the least common multiple of 6 and a?
42
Suppose l + 24 = -2*l. What is the smallest common multiple of 20 and l/(-6)*3*(-1)/(-2)?
20
Let t(z) = -z**2 - 4*z + 6. Let u be t(-4). Suppose u*s - 7*s = -2. What is the smallest common multiple of 8 and s?
8
Calculate the common denominator of -127/110 and (-6)/(-51)*1 + (-5589)/(-8415).
110
Let i(m) be the first derivative of m**3/3 + 2*m**2 - 4*m - 4. Suppose -2*d + 12 = -6*d, -5*r + 5*d = 10. What is the smallest common multiple of i(r) and 9?
9
Let s be 6/(-152)*((-1336)/78)/(-2). Let c = -7/38 - s. Calculate the common denominator of (17/3)/((-20)/6) and c.
130
Let q(c) = -5*c**3 + 7*c**2 - 7*c - 6. Let o be q(6). Calculate the common denominator of (2/18)/((-4)/o) and 38/7.
21
Let h be 141/27 + 2*(-5)/45. Suppose -4 = -i + v - 8, 23 = -2*i + h*v. Calculate the lowest common multiple of 23 and i.
23
Suppose -28*h - 115 = -23*h. What is the common denominator of h and -76/15?
15
Let d = -155 - -172. Calculate the smallest common multiple of d and 1.
17
Let m(d) = -d**3 - 16*d**2 + 49*d - 72. What is the lowest common multiple of 10 and m(-19)?
80
Suppose 175 = 10*y - 15*y. Let m = -23 - y. What is the least common multiple of m and 2?
12
What is the common denominator of 2*(-103)/(-24)*(3 - 4) and 22/309?
1236
Calculate the common denominator of 1106/(-126) + 1 + 2 and -10/31.
279
Let k(u) = u**3 - 6*u**2 - u + 18. Suppose 0*g - 15 = -3*j + g, 12 = 4*g. Calculate the smallest common multiple of k(j) and 18.
36
Suppose -v - 4 = -2*l, 9*l = -4*v + 11*l + 14. What is the least common multiple of 60 and v?
60
Find the common denominator of (-2)/(-9) + 2/(-1386)*-959 and -11/60.
660
Let z = 4713/2750 + -4/125. Find the common denominator of z and (-900)/(-168) - 6 - 2/(-7).
154
Suppose 2*o = -3*a + 39 - 2, -4*o - 3*a + 65 = 0. Suppose 0*f + 2*f = 2. Let x = f + 11. What is the lowest common multiple of x and o?
84
Suppose m + 7 - 10 = 0. Calculate the least common multiple of 9 and m.
9
Suppose 4*a - 100 = -0*a. Let n = a - 16. Let l = 200 - 192. Calculate the lowest common multiple of l and n.
72
Let g(p) = p**2 + 5*p + 4. Let u be g(-4). Suppose u = -2*j + 5 + 3. What is the smallest common multiple of 2*(-16)/(4/(-1)) and j?
8
Let p = 23723/6120 - 274/85. Calculate the common denominator of -163/132 and p.
792
Let t = 189 - 169. Suppose 4*v + 12 = t. Suppose -3*g = -g - 24. What is the lowest common multiple of g and v?
12
Suppose -5*n - 69 + 509 = 0. Calculate the lowest common multiple of n and 32.
352
Calculate the lowest common multiple of 36*(203/(-21) - -11) and 69.
1104
Let i be (-35 - -1)*(-2)/2. Let t = 32 - i. Find the common denominator of (-6)/(-48) - t/(-8) and -28/3.
24
Suppose 0 = -3*o - 4*w - 37, -5*w = -4*o - 0*w - 101. What is the lowest common multiple of o/(380/24)*(-80)/6 and 6?
48
Let i(d) = d**2 - d - 1. Let l(b) = 5*b**2 - 16*b - 19. Let j(x) = -6*i(x) + l(x). What is the lowest common multiple of j(-8) and 7?
21
Let c = 8649191481/23638 + -365902. Let d = c - -3770121/661864. Let f = d + -25/8. Calculate the common denominator of f and -21/11.
77
Let m(f) = f**2 - 15*f + 47. What is the lowest common multiple of m(3) and 18?
198
Let t(n) = -n**3 + 17*n**2 - 13*n - 38. Let g be t(16). Calculate the common denominator of -81/10 and ((-26)/g)/((12/10)/3).
10
Let v(g) = -1108*g - 1. Let y be v(-6). Suppose -1479 = -4*b - y. Let o = 25847/20 + b. What is the common denominator of o and -47/2?
20
Calculate the least common multiple of (3 + 72/(-12))*(0 + -22) and 66.
66
Calculate the lowest common multiple of 7 and (2 - 5/3)*(75 - 57).
42
Let m = -11 - -13. Suppose -z + 4*v = -20, 0 = -m*z + z + v + 23. Suppose 63 = 6*c - 57. What is the smallest common multiple of z and c?
120
Let a be -1*(-30)/25*-240. Find the common denominator of -23/2 and ((-237)/a)/(4/(-3) + 1).
32
Let g(s) = -24 - 31 + 25 + s. Let h be g(18). Let m = h - -19. What is the least common multiple of m and 4?
28
Let d = -426 + 549. Calculate the smallest common multiple of 9 and d.
369
Let v be -1*((2 - 2) + -1). Let p(q) be the first derivative of 4*q**2 - q + 97. What is the smallest common multiple of p(v) and 4?
28
Let o be (36*(-4)/(-32))/(1/(-4)). Suppose 0 = -3*i - 2*i - 60. Let f = i - o. Calculate the lowest common multiple of 20 and f.
60
Let l = -48505/12 - -4045. Find the common denominator of l and -145/6.
12
Let r(v) = v**2 - 10*v. Let s be r(5). Let g = s - -27. What is the lowest common multiple of g and 3?
6
Suppose -6*y = -9*y - 5*l + 6, 4*l = -12. What is the least common multiple of y and (-18)/(-4) - (-2)/4?
35
Let b(i) = -i**2 + 10*i - 7. Suppose 6 - 10 = 4*d. What is the least common multiple of b(5) and d/(-3)*(34 - -8)?
126
Let j = 605665/13311057 + 2/31921. What is the common denominator of -36 and j?
417
What is the lowest common multiple of 35 and (-7 - -5 - 5) + 84?
385
Let l = -34 - -32. Suppose -h + 5*h = -5*w - 3, -4*h = 8. What is the least common multiple of l/(-5) - (-43)/5 and w?
9
Suppose 3*i + 7 = -2. Let u = -7 - i. What is the common denominator of -27/16 and ((-138)/u)/(144/40)?
48
What is the common denominator of -5/758 and (-8)/(-96) - (-565)/60?
758
Let g = 2138/5005 + 86/143. Let q = 185/13 + -2371/78. Calculate the common denominator of g and q.
210
Calculate the common denominator of (((-130)/225)/(-13))/((-144)/(-950)) and -63/20.
1620
Calculate the least common multiple of 6 and (-105)/(-30)*(-176)/(-14).
132
Suppose -32*q - 104 = -4616. What is the smallest common multiple of q and 24?
1128
Suppose -5*s - 6 = -8*s. Suppose 28 = -3*c + 5*c + 4*v, 2*v = -s*c + 30. Suppose 0*b - b + 6 = 0. What is the lowest common multiple of c and b?
48
Let l = 42 + -43. Let h(z) = 7*z**2 + 3*z + 4. Calculate the smallest common multiple of 14 and h(l).
56
Find the common denominator of -43/231 and 6 + 19017/(-2079) + 3.
231
Let n = 755 - 736. Find the common denominator of 35/107 and n.
107
Let c = -32832922/1965 + 83544/5. Find the common denominator of 86/21 and c.
2751
Let x = 33 + -35. Find the common denominator of -12*(346/176 + x) and -85/16.
176
Let g = 31/736 - 9569/2208. What is the common denominator of -51/2 and g?
24
Let s(d) = -d**3 + 2*d**2 + 2*d - 3. Let y be s(-3). Let u = -26 + y. What is the smallest common multiple of 8 and u?
40
Let s(z) = -5*z**2 + 17*z - 32. Let d be s(12). Find the common denominator of 32/33 and (-6)/(-8)*d/18.
66
Suppose 13 = -28*x + 29*x. What is the lowest common multiple of 182 and x?
182
Suppose 8*s = 5*s - 3. Find the common denominator of (143/396)/(s/(-21)) and 53/4.
12
Let m = 44 - 40. Suppose -4*i - 5*n = -14, 5*i + 0*i = -4*n + 22. What is the lowest common multiple of m and i?
12
Let h = -3041 + 3073. What is the smallest common multiple of h and 168?
672
Suppose k - 60 = -2*k. What is the lowest common multiple of (2/7)/(170/2380) and k?
20
Let i = -4105 - -16341/4. What is the common denominator of 37/980 and i?
980
Let i = -31 + 52. Calculate the least common multiple of 5 and ((-12)/(-14))/(1/i).
90
Calculate the common denominator of 2 + (-777)/(-175)*1/(-2) and 26/5.
50
Let j = -52213/6 - -8726. Let b be ((-10)/(-5) + 27351)/(-1). Let s = -601661/22 - b. What is the common denominator of s and j?
66
Let h(q) = q + 3. Let c be (4/2 + 0)/(8/20). Calculate the lowest common multiple of (-2)/4 - (-17)/2 and h(c).
8
Let w = 30 + -28. Suppose -5*z + 9 = -w*z. What is the least common multiple of 4 and z?
12
Let j(q) = -4*q - 2. Let y(s) = -s**3 + 4*s**2 - 5*s + 4. Let b be y(3). Suppose -15*a + 2*a = -78. What is the lowest common multiple of a and j(b)?
6
Let w(t) = 4*t - 36. Suppose 21*o - 16*o = 60. Calculate the smallest common multiple of w(15) and o.
24
Let p = -629/2070 - -15/46. Calculate the common denominator of 13/55 and p.
495
Suppose 3*z + 3*a + 8 + 4 = 0, -3*z = -3*a - 12. Suppose z*p + 107 = 4*p + 3*j, -130 = -5*p - 5*j. Calculate the least common multiple of 6 and p.
174
Suppose 4*t + 170 = 2*t. What is the common denominator of (-2)/(-7) + (-1542)/(-140) and t/(-25) - (5 + -2)?
10
Let v = -2 + -18. Let t = v - -28. Calculate the lowest common multiple of 4 and t.
8
Suppose c - 4*q - 69 = 682, 2*q = 2*c - 1478. What is the smallest common multiple of 12 and c?
2940
Find the common denominato