
Let o = 28 + -25. Suppose 5*c + 2*s = 360, 3*c + o*s - 86 - 130 = 0. What is the common denominator of 860/c + -4 + -2 and 37/16?
144
Suppose 0 = 18*d - 10*d - 40. Suppose d*o - 6 + 1 = 0, 0 = 5*a - 5*o - 40. Calculate the least common multiple of a and 1.
9
Let k = -108 + 129. What is the smallest common multiple of ((-45)/(-20))/((-1)/(-4)) and k?
63
Let g(u) = u**3 + 4*u**2 + u + 6. Let v be g(-3). Let b = 2011/192 - -5/192. Find the common denominator of b and 3/v*(285/(-12) + -1).
16
What is the common denominator of (-466)/(-24) + (-3)/12 and (-3)/12 + 103/(-28)?
42
Suppose 0 = -2*z + 22 + 18. Let s = -9 + z. What is the least common multiple of 15 + (-6 - -3 - 3) and s?
99
Suppose -18 = 3*l - 5*l. Calculate the smallest common multiple of 5/(2 - 2/2) and l.
45
Let n be (1 - (-586)/30)*(-35)/3. Let p = n - -171823/720. Find the common denominator of p and 93/16.
80
Let q = -21 - -24. Find the common denominator of q*(-4)/(-12) + -23 and 89/4.
4
Let m be 2/3*255/(-12). Let y = m - -271/18. Find the common denominator of (-9)/12 + 322/(-8) and y.
9
Suppose -4*w + 126 = -1466. Calculate the common denominator of w/168 + (-1)/4*3 and -59/3.
21
Suppose 0 = -7*t + 4*t - 45. Let q = t + 26. What is the lowest common multiple of q and (-238)/204 + (-62)/(-12)?
44
Let o(v) = 2*v + 8. Calculate the lowest common multiple of o(5) and ((-117)/(-26))/((-3)/(-16)).
72
What is the common denominator of -25/2 and (5 + 132/(-15))/((-6)/(-15))?
2
Let p = 240 - 172. Calculate the least common multiple of 44 and p.
748
Suppose 103*m + 13090 = 158*m. Calculate the smallest common multiple of 238 and m.
238
Suppose -d - 2 = -2*j, -3*d + 4*j = 2*d - 20. Find the common denominator of (1 - 0) + (-1 - (-140)/d) and -14/3.
6
Suppose p - 15 = -3*z, -3*z + 27 = 4*p + p. Calculate the least common multiple of (72/32)/(p/16) and 6.
12
Let g = 301/9 + -284/9. Let q be ((-196)/6)/(12/(-234)). Let a = q + -1877/3. Calculate the common denominator of g and a.
9
Let r = -1 - -2. Suppose -23 = -4*n + r. What is the smallest common multiple of n and 22?
66
Suppose -3*s - 1723 = 2*m, 4*s - 988 = m - 110. What is the common denominator of m/120 - (-7)/(-35) and (-4490)/600 - (-6)/(-10)?
12
Suppose 23*g + 0*g = 1265. Calculate the smallest common multiple of 30 and g.
330
Suppose 5 + 5 = -3*d + 5*p, -d = p - 10. Suppose -d*r + 3 = -4*z, 2*r + 4 = z + 7. Calculate the lowest common multiple of (-4 + 1)/(27/(-18)) and z.
6
Let m(f) = f + 11. Let g(x) = x**3 - 7*x**2 + 8*x - 3. Let d be g(6). Let w = d + -3. What is the least common multiple of m(7) and w?
18
Let l = 41099/4430 + 10/443. Let h be 1/(-6) + 22/(-12). Calculate the common denominator of l and 3 + (-351)/42 + h.
70
Let r(v) = -5*v - 2. Let n be r(-1). Suppose n*c = -c. Suppose -4*l + 21 + 27 = c. What is the least common multiple of l and 7?
84
Suppose -3 + 41 = -2*q. Let f = -13 - q. Suppose 12 = s + f. What is the smallest common multiple of s and 22?
66
Suppose -8 = 130*j - 134*j. Suppose 37 = j*b + 15. What is the least common multiple of b and (1*-3)/((-3)/2)?
22
Suppose 0 = -4*v - 6*u + 560, 4*v - 7*v + 4*u + 420 = 0. Calculate the lowest common multiple of v and 10.
140
Find the common denominator of 4/(-10) - 504/(-110) and (-1139)/(-1020)*18 + -12.
110
Let l = 187/28 + -27/14. What is the common denominator of l and (213/(-12))/((-3)/(-6))?
4
Suppose n = 1680 - 561. Find the common denominator of n/(-198) - (-2)/(-22)*2 and 85/2.
6
Let z = -11 + -7. Let l(b) = -b**3 - 17*b**2 + 18*b + 9. Calculate the lowest common multiple of 8 and l(z).
72
Let p = -2759671/134 - -20595. What is the common denominator of -145/24 and p?
1608
Let q = -226 + 260. What is the smallest common multiple of 11 and q?
374
Suppose x + 2*i = -0*i + 142, -5*i - 710 = -5*x. Calculate the smallest common multiple of 22 and x.
1562
Suppose -222*f = -5*s - 220*f + 171, 5*f - 84 = -3*s. Suppose 4*q + q - 60 = 0. Calculate the smallest common multiple of s and q.
132
Let b = -57 + -38. Let x = 133 + b. Calculate the lowest common multiple of x and 22.
418
Let h = -89 + 89. Let g = -2 - -5. Let s = g - h. Calculate the lowest common multiple of 8 and s.
24
Let r(b) = b**3 + 5*b**2 + 2. Let s be r(-5). Let u = s + -6. Calculate the common denominator of -119/6 and 1/u - (-296)/24.
12
Calculate the common denominator of -67/2 and 17/(-68) - ((-54)/(-88) + -1).
22
Suppose 3*q - 164 = 4*l - 9*l, 3*q - 152 = -2*l. Let p = 2530 + -20303/8. Calculate the common denominator of 1 + (106/q - -3) and p.
24
Suppose 0 = 5*l - 2*t - 179, 5*t - t = -8. Let x = 62 - l. Let w = -17 + x. Calculate the lowest common multiple of 3 and w.
30
Suppose -2*y = 5*v - 25, -4*y + 26 = -2*v + 4*v. Calculate the smallest common multiple of v and 174/12 - 2/(-4).
15
Suppose 0 = -0*c + 4*c + 632. Calculate the common denominator of (-286)/11*21/72 and c/132 + (-4)/6.
132
Suppose 3*w = -5*n + 61, 2*n + 14 - 48 = -2*w. What is the lowest common multiple of w and 159?
636
Let c = -32455/43946 + 4/9417. Find the common denominator of c and -83/231.
462
Calculate the common denominator of (-86)/(-21) + 18/(-42) and -35/171.
171
Let t(k) = 5*k + 321. Calculate the smallest common multiple of t(-44) and 3.
303
Let h = -4 - -9. Suppose -h*i = -2*i. Suppose 2*j - 6*j - 5*u + 8 = i, -8 = 2*u. What is the smallest common multiple of 9 and j?
63
Calculate the common denominator of -95/72 and (-707)/112 + 0 - 0/1.
144
Suppose -4*l = -3*v - 3270 + 1011, 5*v = 5*l - 2825. What is the common denominator of l/(-27)*21/56 and 101/138?
138
What is the common denominator of -65/176 and (7/25)/((-32)/(-40))?
880
Let u be (-5)/20 - 91/116. Let m = u + 613/116. Find the common denominator of m and -23/44.
44
Let m = 50584801/3906 - 116489/9. Let i = 43/31 - m. Find the common denominator of (-8)/(-10) - 793/60 and i.
84
Let l = -733/20 + 121/4. Find the common denominator of l and -8/13.
65
Let m(j) = -5*j**2 + 84*j - 88. Calculate the smallest common multiple of m(12) and 18.
1800
Let q = -87 - -59. Calculate the common denominator of (1/(-3))/(q/(-240)) and ((-2)/44)/((-1)/(-102)).
77
Suppose 5*u = -2*h, u - 15 = -4*u + h. Let a = u - -10. What is the smallest common multiple of a and 1/(-3) + (-55)/(-3)?
36
Let t = 89/2 - 811/18. Let i(y) = 2*y**3 + 18*y**2 + 5*y + 17. Let r be i(-9). Calculate the common denominator of (-2)/((-64)/r) - -3 and t.
72
Let g = 65373 - 7452461/114. Calculate the common denominator of -47/6 and g.
114
Suppose 177*p - 172*p = 60. Calculate the lowest common multiple of p and 32.
96
Let f = 599/104 + -70/13. Find the common denominator of (-167)/(-21) - 3/(-9) and f.
56
Suppose 4*o - 17*a + 12*a - 959 = 0, 0 = 3*o - 3*a - 717. What is the lowest common multiple of 118 and o?
236
Let y be 872016/(-128)*4/6. Let i = y + 4565. Find the common denominator of i and -99/10.
20
Calculate the common denominator of 25/9 and 24/30*29/22.
495
Suppose -26*b + 15*b = -176. Calculate the smallest common multiple of b and 88.
176
Suppose -3*h - 23 = -5*t, h + 27 = 5*t - h. Calculate the least common multiple of 11 and t.
77
Suppose 40 = 4*z + 5*y, 3*z + 0*y - 30 = -3*y. Suppose 0 = -14*g - 1182 - 540. Let c = -118 - g. What is the smallest common multiple of c and z?
10
Suppose 4*r = 601 - 537. Calculate the smallest common multiple of 136 and r.
272
Suppose -4*w + 3*q = -495, -27 = q - 26. Calculate the smallest common multiple of 3 and w.
123
Let x = -3 - 4. Let u = x + 11. Calculate the smallest common multiple of 22 and (-2 - u)/2 - -21.
198
Suppose 11 = 2*l - l. Let w(s) = 0 + 0 - 1 - 11 + 3*s. What is the smallest common multiple of l and w(6)?
66
Calculate the common denominator of 176/(-132) + (-86)/(-55) and -17/15.
165
Let g = 121/2 - 265/6. What is the common denominator of ((-2)/(-10))/(120/(-3425)) and g?
24
What is the common denominator of -37/232 and (-135)/(-198) + 7 - (7 - 2)?
2552
Suppose -4*x - 795 + 2911 = 0. Let n = -1444 + x. Calculate the common denominator of -97/2 and (n/(-20))/(42/4).
14
Let w = -5855621/100 - -58557. What is the common denominator of w and -13/100?
100
Calculate the common denominator of -65/42 and (214/24 - -5)/3 - 5.
252
Let a = -178 + 214. Calculate the smallest common multiple of 18 and a.
36
Let n(r) = r**3 + 33*r**2 - 28*r + 