t is the least common multiple of 86/10 + 9/(-15) and o?
24
Suppose 0 = -5*i + 5*v - 268110, 0*v = 4*i - v + 214473. Let o = 157906/3 + i. Let b = o - -965. Calculate the common denominator of -19/5 and b.
15
Let t be (4/(-5))/(((-16)/4)/40). What is the common denominator of (-603)/(-1188) - 1/(t/(-2)) and -25/33?
33
Let f(h) = -h**2 + 7*h + 5. Let u be f(7). Let x = u + -29. Calculate the least common multiple of 6 and (32/x)/(2/(-3)).
6
Let b = 132179/6837 + 1/2279. Find the common denominator of b and (-4)/(-2) + (-158)/(-8).
12
Let w = 15205/54 + -563/2. What is the common denominator of w and -71/33?
297
Let q be -1 + (0 - (-262)/246). Let b = q - 4681/738. Find the common denominator of b and ((-68)/(-36))/((-12)/63).
36
Suppose 2298 + 9852 = -5*n. Let s be -1 - 87*28/n. Let j = 6058/6885 + s. What is the common denominator of -17/2 and j?
34
Let c be (4 - -4)/(1/(-144)). Let i be (1827640/c)/((-436)/(-6)). Let q = 3/3488 - i. Find the common denominator of -29/3 and q.
6
Suppose 0 = -4*s - z + 3274, 6*z - 3*z = 5*s - 4101. Let g = s + -11471/14. Calculate the common denominator of 63/120 - 2/5 and g.
56
Suppose -4*p + 8 + 0 = 0. Suppose -p*x - 3 = -15. Let y = 22 - 21. Calculate the least common multiple of y and x.
6
Let i(k) = k**3 + 10*k**2 - 13*k - 2. Suppose -5*t + 110 = -25. Let v = 16 - t. What is the least common multiple of i(v) and 6?
60
Let w = 203/2 - 116. What is the common denominator of (25/27)/((-63)/(-378)) and w?
18
Let t = -3752 + 22405/6. What is the common denominator of t and 35/122?
366
Let w(z) = z**2 + 12*z + 14. Calculate the lowest common multiple of w(-17) and 22.
198
Let r(o) = 7 - 3 - o - 3. Let a be r(11). Calculate the common denominator of a/35 - (-576)/154 and -59/2.
22
Find the common denominator of (1*8/(-1152))/(1/(-62)) and 53/99.
792
Let i = 2867 + -22895/8. Calculate the common denominator of (-2)/((-20)/(-51)) - -2 and i.
40
Suppose -48*p = -67*p + 4066. Calculate the least common multiple of p and 10.
1070
Let q = 157/2 - 90. What is the common denominator of q and (-339)/(-36)*-1 + -2?
12
What is the common denominator of -83/10 and 690/(-552)*106/120?
240
Calculate the least common multiple of 187 and 68/4*(6 + -4).
374
Let r = -923 + 7353/8. Let m = -16/5 - -313/15. Calculate the common denominator of r and m.
24
Suppose 0*u + q - 49 = -5*u, -3*u + 34 = -4*q. Calculate the least common multiple of 6 and u.
30
Let u be (-37)/(-7) + (-7)/((-196)/(-8)). Suppose 0*d + 4 = 2*d - u*o, 44 = 2*d + 5*o. What is the smallest common multiple of d and 30?
60
Find the common denominator of 1*(-5055)/58455 + 1/9 and -32/3.
1299
Let z = 20 - 9. Let w(n) = n**2 - 9*n - 8. Let f = 19 - 1. Calculate the smallest common multiple of w(z) and f.
126
Suppose -4*d + 9*l + 36 = 8*l, -d + 5*l + 9 = 0. Calculate the lowest common multiple of d and 48.
144
Suppose -8 = -4*y + r, 3*y + 0*r = 4*r + 6. Suppose y*j = 9*j - 70. Calculate the smallest common multiple of j and 90.
90
Let t = 4857/25954 + -2/683. Calculate the common denominator of t and 1 + -7 - (21 - (-13380)/(-440)).
418
Let y be 5 + -2 + (-807)/(-18). Let l = 1129/30 - y. Find the common denominator of 1 - 25 - ((-10)/(-3))/(-10) and l.
15
Let a(d) = -d**3 - 6*d**2 - 6*d - 5. Let z be a(-5). Suppose -2*p - p + 12 = z. Calculate the smallest common multiple of 2/2 - (-8 + -1) and p.
20
Let d(c) be the second derivative of -c**3/6 - 13*c**2/2 + 11*c. What is the lowest common multiple of d(-15) and 6?
6
What is the least common multiple of 39 and (1*4)/(-12*(-7)/189)?
117
Let b = -27976/9 + 5399746/1737. What is the common denominator of -4/9 and b?
1737
Suppose -3*q = -3, 4*f - 5*q = 5*f - 15. What is the common denominator of (4/f)/(144/1035) and -123/10?
40
Let w = -5 - -7. Suppose -w*z = 4*k - 10 - 6, 0 = -3*k - 5*z + 12. What is the least common multiple of k and 10?
20
Let f(a) = 18*a + 9. Let p(g) = 9*g + 5. Let r(z) = 6*f(z) - 11*p(z). Calculate the smallest common multiple of (-17)/(-2) - (-1)/(-2) and r(1).
8
Let a be (-4386)/780*2 - (-8)/20. Let q be (-2)/(-4)*(-8628)/(-351). Let w = a + q. Find the common denominator of 77/10 and w.
90
Let b = 3872/837 - 117/31. Let g = 7905/3718 - 5/1014. What is the common denominator of b and g?
297
Suppose 7 - 25 = -2*s. Suppose -318 = 40*a - 1278. What is the least common multiple of a and s?
72
Let z = 55 - 49. What is the least common multiple of 20 and 24*((-9)/z)/(-3)?
60
Suppose -21 - 4 = -5*c + 5*o, 4*o - 16 = -5*c. Suppose -5*l + c = 54. Let f = -9048 + 135772/15. Calculate the common denominator of l and f.
15
Let m(n) = n**3 + 8*n**2 + 7*n + 4. Suppose -2*g + 1 - 7 = 0. Calculate the smallest common multiple of 20/4 - 9/g and m(-7).
8
Let t(d) = -d**3 - 8*d**2 - 16*d - 21. Let m be t(-6). Suppose 4*q + 7 = -5, m*g - 84 = 4*q. Calculate the lowest common multiple of g and 39.
312
What is the common denominator of 803/(-154) + (-54)/(-6) and 115/42?
42
Let f(x) = x**3 - 11*x**2 + 14*x - 9. Let a be f(10). Let c = 42 - a. Let p = -10 + 18. Calculate the least common multiple of c and p.
88
Let k = -65/6 - -13. What is the common denominator of k and 82/39?
78
Let z = 270 + -265. What is the smallest common multiple of 6/8*(5 - -3) and z?
30
Let s = -15117/8 - -1893. What is the common denominator of ((2/2)/((-175)/(-50)))/((-20)/115) and s?
56
Let o(k) = k**3 + k**2 + 10*k - 26. Let n = -3 - -7. What is the least common multiple of o(3) and n?
40
Let o = 11700 - 1333835/114. Calculate the common denominator of o and 103/84.
1596
Let t = -24 - -29. What is the common denominator of (t/60)/((-3)/(-249)) and 67/6?
12
Let d be (-84)/48 + (-1)/4. Let w = 2 - d. What is the lowest common multiple of 2/(4 + (-8)/w) and 7?
7
Let v(q) = 12*q - 12. What is the least common multiple of (-22019)/(-7491) + (-4)/(-66) and v(9)?
96
Let g = -7 - -11. Suppose 3*k + 23 = 5*x - 30, 3*x - 26 = -4*k. What is the least common multiple of g and x?
20
Let m = -20 + 29. What is the lowest common multiple of m and (-735)/(-10)*(-4)/(-6)?
441
Let g be (-9177)/(-2442) - (-18)/(-12). Let a = -14/37 - g. What is the common denominator of a and 2/(-4) + 22/(-8)?
44
Let v be (-1)/(-4) + (9715/60 - 1). Let c = v - 163. Let m = -10145/1818 - -58/303. Find the common denominator of c and m.
18
Let f(q) = -12*q + 22. Calculate the lowest common multiple of f(-9) and 65.
130
Let x be -3*(-2 - -3) - -18. Suppose 3*p - 6*p = -x. Suppose 0 = -5*y + f + 26, -p*f + 2 = y - 2*f. Calculate the smallest common multiple of 8 and y.
40
Calculate the common denominator of (254/105 - 1) + 16/168 and -12/5.
35
Find the common denominator of 101/300 and (-475)/228 + 1/(-3).
300
Suppose -8*j - 29 + 37 = 0. Calculate the least common multiple of 9 and j.
9
Let m(j) = j**3 + 4*j**2 - 5*j. Calculate the least common multiple of m(-4) and 20.
20
Suppose 8 = -2*a, 3*a = -i + 2*a + 14. Let c = 4 - 2. Calculate the lowest common multiple of i and c/(-7) + 912/56.
144
Let d = -9/67 + -1648/201. Find the common denominator of (-1)/10*-69 - 2 and d.
30
Let h = -6223787/78 + 79791. Calculate the common denominator of 77/75 and h.
1950
Find the common denominator of -11/130 and 9/(-42)*(-2898)/(-1620).
780
Let x = -978819417161773/23625 - -41431509715. Let f = 2/23625 - x. Calculate the common denominator of f and -13/24.
120
Let b = -1612 - -1632. What is the smallest common multiple of 120 and b?
120
Suppose -2*f + 4*f = 14. Suppose f + 19 = -h. Calculate the common denominator of (h/(-54))/(10/(-120)) and 32/7.
63
Suppose 3*q - 12 = -w, -4*q = w - 558 + 543. Let u = -4 + 10. Calculate the smallest common multiple of u and w.
6
Let h be ((-6)/(-15))/((-1)/(-75)). Suppose -b - h = 4*b. Calculate the smallest common multiple of (-3)/b*(-2 - -4) and 11.
11
What is the least common multiple of 2 and (6/(-8))/(17/(-2108)) - 5?
88
Let u = 27 + 11. Let r = u + -68. What is the common denominator of -51/4 and (81/(-42))/(r/(-63))?
20
Let g(t) = t**3 + 4*t**2 - 4*t + 7. Let y be g(-5). Suppose y*z + 4*x = x + 9, 2*z + x = 7. Calculate the common denominator of 39/7 and (62/(-38) - z)/2.
133
Let c = -8802 - -369661/42. Calculate the common denominator of c and 1/14.
42
Let x be 994/(-91) + (2 - 0). Let f = -251/52 + x. What is the common denominator of f and 33/4?
4
