1 + 28/55. What is the common denominator of z and -19/91?
455
Let w = -7322 + 7326. Suppose -5*j = -4*j - 100. Calculate the lowest common multiple of w and j.
100
Let j(z) = z + 26. Let m be j(7). Calculate the common denominator of -31/55 and 16/88 + (-578)/m.
165
Let z be (3/(-2))/(48/800). Let a = -1 + -9. Calculate the common denominator of (3/z)/(4/a) and -111/14.
70
Let h = 882 + -770. Calculate the smallest common multiple of h and 84.
336
Let z(s) = -13 + 4*s**3 - 4*s - 1 + s**2 - 3*s**3 + 6*s**2. What is the smallest common multiple of 18 and z(-7)?
126
Let s(y) = 5*y**2 - 5*y + 9. Let c be s(2). Suppose 6*x - 53 = c. What is the smallest common multiple of x and 4?
12
Let f be ((-18)/(-4))/((-96)/(-472)). Let p = -20 + f. What is the common denominator of (-2)/20*1*4 and p?
40
Let q = 12 + -9. Suppose 3*h + 63 = 2*u, 6*h = -3*u + q*h + 87. What is the lowest common multiple of u and 60?
60
Let k be (12/(-9))/((-2)/(-1797)). Let f = k - -850. Calculate the lowest common multiple of 2/(-7) - f/42 and 3.
24
Let c be (-1 - -3) + (-71 - 3). Let y = -663/10 - c. Calculate the common denominator of 9/(-8 - -5)*(-116)/88 and y.
110
Let q = -47 + 49. What is the common denominator of (26/44)/(q - (-7)/(-2)) and 145/24?
264
Suppose 0 = -q, -2*d + 3500 = 3*q - 2*q. Let r = d - 17609/10. What is the common denominator of (-8)/(-11)*7/(-2) and r?
110
Suppose 4*f = -3*k + 74, -4*k + 8*f = 3*f - 140. Suppose -r = -4*r - k. Let a(c) = c**2 + 8*c - 9. What is the lowest common multiple of a(r) and 8?
88
Suppose -2*j = 4*w - 12, -4*j - 3*w + 15 = 2*w. Let k(g) = 4*g - 4. Let n be k(6). Suppose 9*c - 5*c - n = j. What is the lowest common multiple of 7 and c?
35
Suppose 2 = 2*m, v - 4*m - 6 = 4. Suppose -3*r - 3*d + 39 = -0*r, -2*d = 3*r - 34. Calculate the least common multiple of v and r.
56
Suppose -56 = -43*b + 460. What is the lowest common multiple of b and 1316?
3948
Let v(m) = 3*m**2 + 2*m - 1. Let k be v(-9). Suppose -3*o - o + k = 0. Suppose 5*n = 25, -6*a = -2*a + 4*n - o. Calculate the least common multiple of a and 9.
9
Calculate the lowest common multiple of (96/(-7))/((-152)/1596) and 8.
144
Let f(w) = w**3 - 7*w**2 + 8*w + 18. Suppose 0 = 2*i - 4*d + 2, 30 = 3*i + d + 4*d. Calculate the smallest common multiple of f(i) and 36.
72
Suppose 5*f - 4*y - 667 = 0, 13*f + 272 = 15*f + y. Calculate the smallest common multiple of f and 180.
540
Suppose -58*d = -64*d + 696. What is the lowest common multiple of 10 and d?
580
Let y = -51861 - -1867121/36. Calculate the common denominator of 11/4 and y.
36
Let m(t) = t**2 + 3*t + 2. Let j be m(0). What is the smallest common multiple of 18 and 2/(-6 - j) + 243/12?
180
Suppose -p = -v - 4*v - 31, -5*p + 10 = 4*v. Suppose -3*i - 2*a - 7 = 0, -a + 0*a = -5*i + 10. What is the least common multiple of 4 + 2/1 + i and p?
42
What is the common denominator of -2/35 and (-559)/(-350) + 16/112?
350
Let k(l) = -14*l**2 - 5 + 4*l**2 + 13*l**2 - 10*l. Calculate the least common multiple of k(5) and 10.
20
Let l = -14 - 1. Let q be 84/l - (-2)/(-5). Let x(u) = -u**3 - 7*u**2 - 6*u + 5. What is the least common multiple of x(q) and 5?
5
What is the least common multiple of 21/105 + (-248)/(-10) and 40?
200
Let u = -13 + 37. What is the least common multiple of -4 - -13 - (4 - 15) and u?
120
Let l be ((-110)/3)/((-18)/(-27)). Let v = l - -67. What is the lowest common multiple of v and 14?
84
Suppose i + 0*i = 0. Suppose -4*m + m - 2*x + 7 = i, 4 = -4*x. Suppose -m*u = -8*u + 100. Calculate the least common multiple of u and 8.
40
Find the common denominator of 39/5 and ((-1)/1764)/(7/994).
4410
Let v be (72/(-8))/(3/(-8)). Let f be (1546/(-10))/(v/20). Let k = 3269/24 + f. What is the common denominator of k and 17/2?
8
Let o(q) = -3*q**2 + 7*q - 20. Let g be o(6). Let c = 90 + g. Calculate the least common multiple of c and 12.
12
Let u = -9452 + 170077/18. Find the common denominator of -151/498 and u.
1494
Let x(l) = 9*l + 4*l**2 - 10 + 5*l - l**3 - 13*l. What is the lowest common multiple of x(3) and 12?
12
Let t = 114 - 50. Suppose -2*b = 2*b - t. What is the smallest common multiple of 20 and b?
80
Let n = -6/9007 - -909827/180140. Find the common denominator of 49/212 and n.
1060
Suppose 2*z + 9 = 5*z. What is the smallest common multiple of 2 and 99 + (z - 1)/2 + -2?
98
Suppose -2*g = -4*g + 522. Let c = -122 + g. Let v = c + -577/4. Find the common denominator of -58/3 and v.
12
Let u = 3 + 8. Let w = u + -7. Suppose -w*b + 90 = 34. Calculate the smallest common multiple of b and 16.
112
Let a = 8 + -5. Let v = a - 2. Suppose -2*x + 86 - 147 = -3*b, 3*x = 2*b - 44. What is the smallest common multiple of v and b?
19
Let w = -2429/594 + 59/22. Find the common denominator of w and 107/54.
54
Let d = -12 - -56. Let w(y) = -1266*y + 6352. What is the least common multiple of d and w(5)?
44
Suppose 4*g = j - 19, -2*j = -2*g - 0*g - 14. Let z = g - -20. Calculate the lowest common multiple of 10 and z.
80
Let x = -8106431 + 8284769901/1022. Let l = 19/73 - x. Find the common denominator of ((-4)/32)/(5/350) and l.
28
Let u = 460 - 415. What is the smallest common multiple of u and 25?
225
Suppose 2*b - 5*v - 262 = 0, 3*b + 4*v - 133 = 214. What is the smallest common multiple of b and 44?
484
Suppose 301 + 243 = 68*o. Calculate the least common multiple of o and 14.
56
Let t = -686444 + 4104565/6. Let l = -1628 - 741. Let g = t - l. Calculate the common denominator of g and 54/11.
66
Let u = -1009/35 - -152/5. Find the common denominator of u and -17/141.
987
Let r = -66739/9 + 7423. What is the common denominator of -80/51 and r?
153
What is the common denominator of 3*(-1 + 0)*72/378 and 46/165?
1155
Let z(t) = -3*t - 1. Suppose 4*b + 12 - 8 = 0. Calculate the lowest common multiple of 4 and z(b).
4
Suppose j - 840 = -j. Find the common denominator of -117/14 and (-1)/(-5) - ((-8829)/j)/9.
28
Suppose 3*b - 5*h - 19 - 21 = 0, 3*b = -3*h. Suppose 4*r - 24 = -4*w, -b*r = -w - 0*w + 30. Let s = 0 + 14. What is the lowest common multiple of s and w?
70
Let x be 4/((6/3)/2). Suppose 0 = -x*z + 12 + 60. Calculate the lowest common multiple of 12 and z.
36
Let c = -2/3911 + -394931/156440. What is the common denominator of -17/280 and c?
280
Suppose -r - 3*y = -27, -45 = -3*r - 4*y + 11. Suppose f - r = 4*f. Calculate the common denominator of -3/2 and (-196)/64 + f + 4.
16
Let a = 129 + 437. Let x = -7/2267 + -2677313/4534. Let b = x + a. Find the common denominator of b and 131/6.
6
Suppose 4*q - 224 = -0*q. Calculate the common denominator of (-4)/q + 0 + 1 and 93/32.
224
Suppose -2 = 2*y - 16. Let g(w) = -4*w**2 - 32*w + 46. Calculate the least common multiple of (1*-2)/2 + y and g(-9).
30
Let d(r) be the first derivative of -5*r**2 - r + 2. Calculate the lowest common multiple of d(-1) and ((-28)/6 - -4)*(-3)/2.
9
Let m(g) = -24*g + 1. Let t be m(-2). Suppose 0 = 5*l - 2*x + 431, -4*x + 80 = -2*l - 102. Let w = t + l. Calculate the common denominator of 56/9 and w.
9
Suppose -t = 2*t - f - 167, 4*t - 240 = -3*f. Suppose t = d - 4*d. Find the common denominator of 97/10 and d/14 - (8 + -8).
70
Find the common denominator of 121/80 and 10/(-5) + (-5 - (-674)/96).
240
What is the common denominator of 4/((-792)/1197) - -8 and (1/(-6))/((-372)/(-126))?
1364
Find the common denominator of -77/72 and 4 + -6 + (-207)/144.
144
Calculate the common denominator of 27/665 and (2*(-57)/(-24))/(75/30).
1330
Suppose 0 = -u - 2*j, 0 = -3*u - 5*j - 5 + 1. What is the common denominator of (1/2)/(u/180) and -125/6?
12
Let d = -141485 + 47963374/339. Let z = d + -33091/9492. Calculate the common denominator of z and -63/32.
224
Let d(g) = -g**2 + 29*g + 1290. Suppose -5*m = 2*w - 96, -5*m - 9 = 5*w - 114. What is the least common multiple of d(53) and m?
18
Let w = -7 + 9. Calculate the least common multiple of 1*((w - 3) + 3) and (-2 + 14)/(-2 - 0 - -4).
6
Let w(c) = -c**3 + 17*c**2 - 2*c + 4. Let k be w(17). Let n = 41 + k. What is the lowest common multiple of 1 and n?
11
Let h = 39 + -17. Let l = h - 6. Calculate the lowest common multiple of 14 and l.
112
Suppose 0 = q - 8 + 4. Calculate the smallest common multiple of -12*(-2 - (-8)/6) and q.
8
Let g = -87/97 + 4345/194. Calculate the common denominator of (-691)/