Suppose -3*z - 5 = -k + 53, 0 = -4*k + 5*z + 225. Let h be (-10)/k + 14139/(-220). Let c = -65 - h. Calculate the common denominator of -81/28 and c.
140
Let m = 26405/8 - 3307. Calculate the common denominator of m and 35/1906.
7624
Suppose -5*k = 3*v - 27, 4*k - 3*k + 17 = 5*v. Suppose 3*l - 2*n = 28, -30 = -3*l - 0*l + 3*n. What is the lowest common multiple of l and v?
8
Let u = 159 + -95. Suppose 4*x - u = -8. Let a = 21 - x. Calculate the smallest common multiple of a and 5.
35
Let x(d) = d**2 + 3. Let b be x(-3). What is the common denominator of 9/b*(-26)/4 and -97/2?
8
Let b be (6/2 - 1) + 3846. Let f be 2/(-5) + b/420. Let q = f - 695/168. Calculate the common denominator of q and -59/4.
8
Let z(w) = -w**3 + 9*w**2 - 3*w - 34. What is the least common multiple of 562 and z(8)?
1686
Let h = 26 + -18. Suppose 4 = -2*g, 2*u + g - h = u. Calculate the common denominator of 1136/80*u/4 and -55/14.
14
Suppose -6*c + 19*c = 169. Suppose -88 = -17*d + c*d. Let a = 74 - 44. What is the lowest common multiple of d and a?
330
Let c = -20659/18 - -1150. Find the common denominator of (-142)/6*(-6)/(-68) and c.
306
Let f = -14209/8 - -1773. Let g = -296 + 611/2. What is the common denominator of f and g?
8
Let v be ((-1729)/(-3) + 1)*(-11)/(-20). Let h = v + -318. Calculate the common denominator of h and -71/9.
45
Suppose -10 + 28 = 2*g - 2*r, 3*r - 3 = -2*g. Calculate the smallest common multiple of g and 66.
66
Let m = 410 + -4111/10. Suppose 3*y + 28 - 5 = 4*b, -4*b = -2*y - 22. Calculate the common denominator of y - (-1)/((-5)/29) and m.
10
Let m = 5255149/80 + -65688. Calculate the common denominator of m and -39/160.
160
Let t = 13081/5360 + -1/335. Find the common denominator of (39/18)/(4/(-9)) and t.
16
Suppose 4*m = 3*m + 7915. Let w = 468656/41 - 1732931/492. Let x = w - m. Calculate the common denominator of -85/14 and x.
84
Suppose 4*y + g - 7 = 0, g - 1 = 9*y - 11*y. What is the smallest common multiple of 39 and y?
39
Suppose -5*h = -4*i + 88, -6*i + 8*i + 5*h = 74. What is the least common multiple of 132 and i?
1188
What is the common denominator of 1 + 3 + -1 + (-16068)/3952 and 111/44?
836
Suppose 0 = 54*d - 10*d - 3168. What is the least common multiple of 64 and d?
576
Let m(o) = 10*o. Suppose 151*n + 19 - 161 = 3180. Calculate the smallest common multiple of n and m(1).
110
Suppose -16*n = -5*n - 44. Let j(c) = -c**3 + 5*c**2 + 6*c + 1. Let g be j(6). What is the smallest common multiple of n/(g*1/1) and 2?
4
Let r be -146*(0 + 2/(-4)). Let t = r + -41. Calculate the smallest common multiple of (-180)/(-15) + (-5)/((-20)/16) and t.
32
Suppose 27*y + 275 = 32*y. What is the lowest common multiple of 5 and y?
55
Let i(p) = -5*p**3 + 7*p - 6. Let n(t) = t**3 - t**2. Let u(s) = i(s) + 6*n(s). Calculate the lowest common multiple of u(6) and 8.
72
Let l = -16 + 48. What is the lowest common multiple of 10/3*(-18)/15 + l and 16?
112
Suppose 4*f - 6*f + 10 = 0. Suppose -35 = -5*d + 5*m, -34 = -f*d + m - 15. Calculate the least common multiple of 33 and d.
33
Find the common denominator of ((-11)/66)/(26/90) and 43/116.
1508
Let t = -173251/219120 + 1380/913. Find the common denominator of t and 157/30.
240
Find the common denominator of -5 + (-52)/(-1690)*642/4 and 47/4.
260
What is the smallest common multiple of (-88)/132 + (-40)/(-6) and 27?
54
Let w = 995 - 6976/7. Find the common denominator of 3/43 and w.
301
Let a = -85/174 - 2923/4524. Find the common denominator of a and -25/8.
104
Suppose -5*w + 12*w = 147. Calculate the lowest common multiple of w and 2.
42
Let r be 4 + -4 + (-1)/1. Find the common denominator of (r + 25/4)/(9/8) and 5/8.
24
Let k(l) = l**3 + 7*l**2 - 6*l - 2. Let w be k(-6). Calculate the common denominator of 85/6 and 1045/44*12/w.
42
Let m = 41 + -46. Let c(o) = -8*o - 10. What is the lowest common multiple of c(m) and 9?
90
Let g(i) = i - 3. Let x be g(3). What is the lowest common multiple of 6 and 4/(-6)*(1 - (x - -31))?
60
Let p = 196311/32 - 6134. Calculate the common denominator of p and 27/148.
1184
Suppose -55 = -3*s + 86. Let k = -25 + -2. Let p = k + s. Calculate the least common multiple of p and 4.
20
Let d(n) = n**2 - 9*n - 16. Suppose 5*g - 51 = 9. Calculate the lowest common multiple of d(g) and (-88)/(-33)*42/4.
140
Let x = -2 - -1. Suppose 0*j = -3*w - 5*j + 80, w = -2*j + 28. What is the least common multiple of 2*1 + (-16)/x and w?
180
Let w = -999295/303 - -3298. Let k = w - -16069/3030. What is the common denominator of 0 + (-86)/12 + 1 and k?
30
Let x(u) = -3*u - 6. What is the least common multiple of 446 and x(-8)?
4014
Suppose 24*n = 2*n + 110. What is the smallest common multiple of 135 and n?
135
Let q = 2/373 + 10785/5968. What is the common denominator of q and -63/32?
32
Let l(p) = -4703*p**2 - 5*p - 7. Let b be l(7). Let z = b + 39874467/173. Let n = 24223/2076 + z. Calculate the common denominator of -13/10 and n.
60
Let q(o) = o + 35. Suppose -4*k - p = 80, -k - p + 53 = -4*k. What is the least common multiple of 112 and q(k)?
112
Suppose 0*p = -3*p + 27. Suppose -2*w - 48 = -4*w. What is the lowest common multiple of p and w?
72
Let d(v) = v**3 + 6*v**2 - 4*v + 81. What is the smallest common multiple of d(-7) and 12?
60
Suppose -u + 48 = 2*t, -2*t + 216 = 4*u + 54. Suppose 4*a - 44 = -4*b, 3*a = 2*b + a - u. What is the lowest common multiple of 40 and b?
120
Suppose -g + y = -0*g + 4, 0 = 5*y - 5. Calculate the common denominator of 3 + (g*(-83)/54)/1 and (0 - 1)*170/(-4).
18
What is the smallest common multiple of 10*2*(3 - (-10)/(-5)) and 136?
680
Let b = -232 + 229. Calculate the common denominator of (4/b)/((-20)/48 + 0) and (-22)/(-56) - (-1)/(-4).
35
Let h = 2/10113 + -475469/798927. Find the common denominator of 29/10 and h.
790
Let y be 550/(-24) + (-3)/6. Let r = 2/1283 + -102646/3849. Let s = y - r. Calculate the common denominator of -59/8 and s.
8
Let o(h) = 8*h - 19. Let u be o(3). Suppose 6 - 156 = -u*b. What is the lowest common multiple of 18 and b?
90
Let r = 10136 - 283875/28. What is the common denominator of r and -19/344?
2408
Suppose -s - 2 = -3*s. Let o(q) = -1 - s + 3*q - q - 10. What is the least common multiple of 8 and o(8)?
8
Let m = -61830312/191 + 323718. Let o = m + -21329/5730. Calculate the common denominator of 113/14 and o.
210
Let w = 27614498797/3377983638 - 2/10361913. Let i = -10090022/489 - -20634. Let r = w - i. What is the common denominator of r and -19/4?
12
Let s = -4 - 30. Let z = -16 - s. Let u(d) = d**3 - 7*d**2 + 7*d - 4. What is the smallest common multiple of u(6) and z?
18
Let a be (-2 - 0)/1 - -30. Suppose a = 3*b - b. Let o(g) = -g**2 + 8*g + 35. Calculate the lowest common multiple of o(11) and b.
14
Let j = 26794124394727/1995630 + -1732317989/129. Let o = j + 1610854/663. Let p = o - 1/357. What is the common denominator of -55/12 and p?
60
Suppose -28 = 4*p + 60. Calculate the smallest common multiple of 66/10 + p/(-55) and 65/52 + 1/(-4).
7
Let t be 6/4 + 68/8. Let q be 1*2 + (-651 - t). Let i = -1397/2 - q. What is the common denominator of 15/2 and i?
2
Suppose -d - 23 = o, -o = -4*d + o - 74. Let p = d - -22. Suppose 0 = -2*x - 4*m + 4, -2*x + m + 16 - p = 0. What is the least common multiple of 7 and x?
42
Let k = 173 - 173. Suppose -8*y + 11 + 53 = k. Suppose -8*d = -3*d - 25. Calculate the least common multiple of y and d.
40
Let a = -109 + 821/7. Calculate the common denominator of a and 51/115.
805
Let h be (14 + 0/3)/2. Suppose -9 = -2*d + h. What is the least common multiple of d and 2?
8
Let m be (-90)/(-11) + -3*(-10)/(-165). Calculate the common denominator of 65/18 and ((118/10)/(m/60))/30.
180
Suppose 0 = -y - 2*v + 8, -4*y + 2*v - 12 = -v. Let j = -1 - -5. What is the lowest common multiple of (-3 - y) + 2 + 19 and j?
36
Let h be 1 + -1 + (5 - 2). Let p = 296 - 291. Suppose -20 = -4*x + 4*w + 60, p*w - 76 = -h*x. Calculate the smallest common multiple of 4 and x.
44
Suppose -5*v - 15 = 0, w - 19 = 5*v + 7. What is the least common multiple of (-44)/w*(-4 - -2 - 0) and (-2)/7 + (-114)/(-7)?
16
Let m(i) = i + 19. Let h be m(-12). Calculate the common denominator of 9/(-9) - 40/h and -41/4.
28
Let k(s) = s**2 - s - 18. Let q be k(0). Calculate the lowest common multiple of 7 and q/27*18/