 denominator of (-4)/3*(-413)/(-140) and 369/(-165) + 4/(-10).
165
Let c = 2 - 2. Suppose 8 = 2*y - c*z + 2*z, 2*z - 20 = -5*y. Let i(o) = -3*o - 32. What is the lowest common multiple of y and i(-18)?
44
Let r = 4475/6732 - 10/99. Calculate the common denominator of 68/33 and r.
2244
Let u = -81 - -80. Calculate the common denominator of (5/(-180))/(u/49) and 47/18.
36
Let p(d) = 6*d**3 - 10*d**2 - 8*d. What is the smallest common multiple of p(4) and 72?
576
Find the common denominator of ((-7)/(-595))/(12/(-525)) and -51/28.
476
Let c = 39 + -27. Suppose -7*s = -11*s + c. Suppose s*p + 0*p = 36. What is the lowest common multiple of 8 and p?
24
Let q(g) = -g - 2. Suppose -2*c - 3 + 43 = 0. Suppose -4*x + c = -12. What is the smallest common multiple of x and q(-6)?
8
Let u = 3 + -1. Suppose -234 = -8*z - 5*z. Calculate the least common multiple of z and u.
18
Let h = -603601/8954 - -2480/37. What is the common denominator of h and 67/8?
968
Suppose -3*c - 5*z + 14 = 0, 4*c - 10*z = -13*z + 15. What is the least common multiple of 2 + 4 - (1 + -1) and c?
6
Suppose 19 - 7 = 3*a. Suppose 0 = -a*f - 6 + 38. Let b(u) = -u**3 - 10*u**2 - 13*u - 12. What is the least common multiple of f and b(-9)?
24
Let a(c) = -c - 4. Let l be a(-9). Suppose 0 = l*q - 5*i - 115, 5*i + 89 = -0*q + 4*q. Let s = 36 - q. Calculate the lowest common multiple of 11 and s.
110
Let z = 10 + -10. Suppose z*b - b - 355 = 0. Let t = 3200/9 + b. Find the common denominator of t and 31.
9
Let n = 3/32 + 109/32. Find the common denominator of 41/8 and n.
8
Let k = 370 + 100. Suppose -5*u = -3*r + 62 + 433, -2*r - k = 5*u. Calculate the common denominator of u/80*82/8 and 25/22.
110
What is the lowest common multiple of 39/(-65) + 53/5 and 3?
30
Suppose 36*j - 58*j = -20064. Calculate the smallest common multiple of 22 and j.
10032
Let d(z) = -z**2 - 9*z - 2. Suppose 0 = 4*i + k - 51, 2*k = 2*i + 4 - 22. Calculate the lowest common multiple of i and d(-7).
12
What is the common denominator of (-6487)/(-546) + 60/(-6) and -77/6?
42
Suppose -2*f = -2*h - 9 - 25, 0 = 2*f - 10. Let c = -386 - -683. What is the common denominator of c/h - (-2)/1 and -17/7?
28
Let h be ((-9)/(-6))/((-1)/2). Let a(y) = -17*y**2 - 3*y + 4. Let r be a(h). Calculate the common denominator of (-2 + 1)*(-235)/r and -41/14.
28
Let z = 43837/11 - 15945/4. What is the common denominator of z and -21/110?
220
Let i = 2/5031 + -48643/25155. Calculate the common denominator of 43/33 and i.
165
Suppose 74 + 106 = 3*m. What is the lowest common multiple of m and 36?
180
Let y = -63 - -31. Let t be ((-122)/36)/(y/19). Let p = t + -47/64. Find the common denominator of p and 1/16.
144
Let u = 29/2 - 115/6. Suppose -4*w + 5*s = -18920, 0 = 4*w - 6*w - 5*s + 9490. Let g = w - 47243/10. Find the common denominator of g and u.
30
Suppose 2 = m + 4*x, 5*x + 4 = x. Let o = -14 - -44. Calculate the least common multiple of o and m.
30
Let b = 294277/1368 + -4060/19. Find the common denominator of 77/180 and b.
360
Let k = -10 + 24. Let f = 39 - 111. Let w = -70 - f. Calculate the least common multiple of w and k.
14
Let o = 336 + -633. What is the common denominator of 2/(-7) + o/(-819) and 116/174 - (-86)/33?
143
Let a = 471 + -249. What is the least common multiple of a and 2?
222
Let b = -75/107 - -8411/856. Let f = 9367/1790 - -12/179. Calculate the common denominator of b and f.
40
Let g = 616237/185500 + -4/6625. What is the common denominator of 155/42 and g?
84
Let f = 134 - 102. What is the least common multiple of 4 and f?
32
Let p = 94 + -46. What is the common denominator of (p/(-72))/(140/222) and -53/9?
315
Let f = 47 - 15. Calculate the smallest common multiple of f and 80.
160
Let b = -1/1122 - 21689/3366. What is the common denominator of 23 + -23 + 18/14 and b?
63
Let p(w) = w**2 + 23*w + 111. Calculate the lowest common multiple of 81 and p(-17).
81
Suppose -13*z = 8*z - 9870. What is the smallest common multiple of z and 2?
470
Suppose -4 = 12*z - 13*z. Calculate the smallest common multiple of z and 6.
12
Calculate the least common multiple of (11 - 5)*(-1 + (-15)/(-6)) and 231.
693
Let z(u) = -7*u - 45. What is the lowest common multiple of 4 and z(-7)?
4
Let a = -76108 - -8219807/108. What is the common denominator of 10/27 and a?
108
Let s(r) = -r**3 - 4*r**2 - 2*r + 2. Calculate the lowest common multiple of 15 and s(-4).
30
Let p = 8445326741809326 - 4581860007885158094955/542532. Let l = 1/45211 - p. Let w = -3932 - l. Calculate the common denominator of w and 7/2.
12
Let j = -80 + 83. Find the common denominator of (-1)/2 + (-7)/5 and (185/50*4)/(6/j).
10
What is the common denominator of -3/8 and 1685*((-1207)/402 + 3) + 4?
1608
Suppose -50*y = -53*y + 72. Suppose -36*g + y = -32*g. What is the least common multiple of g and 3?
6
Let p(c) = c**3 - c**2 - 2*c + 90. What is the smallest common multiple of 45 and p(0)?
90
Find the common denominator of (-32)/360*-93 - 12 and 43/105.
105
Find the common denominator of 18/7 and (-6)/4*(-6958)/2058.
14
Let i(r) = 2*r**3 + r**2. Let b be i(1). Suppose 0 = -4*q + b*n - 3, -7 = -4*n + 13. What is the smallest common multiple of 4 and q?
12
Let h(f) = -11*f**2 + 51*f - 32. Let t(l) = -5*l**2 + 25*l - 16. Let g(k) = -6*h(k) + 13*t(k). Calculate the smallest common multiple of 1 and g(-20).
4
Let m = 22708747/689 + -32959. Let k = m + -58557/1378. Calculate the common denominator of k and 103/10.
10
Let b be -2 + 4/(384/314983). Let i = b - 15433595/4704. Let u = -1/294 - i. Calculate the common denominator of -9/10 and u.
40
Let a = 110937/16 - 6936. What is the common denominator of -29/16 and a?
16
Suppose 2*k - 2*c = -0*k + 56, 2*k - 52 = c. What is the lowest common multiple of k and 75?
600
Find the common denominator of 935/(-1530)*2/10 and ((-38)/(-27))/((-4)/(-24)).
90
Let i = -565 + 601. What is the least common multiple of 120 and i?
360
Let v = -1170 + 1215. Calculate the least common multiple of 95 and v.
855
Let v = 122 + -114. Calculate the smallest common multiple of v and 20.
40
What is the common denominator of 4815/18*7/(-175) and 55/294?
1470
Let p(n) = n**3 + 24*n**2 + 22*n - 21. Suppose -7*v + 5*v = 3*b + 5, -3*b = 5*v - 1. What is the lowest common multiple of v and p(-23)?
2
Let f = 433/16975 + 33/97. Calculate the common denominator of 29/7 and f.
175
Let s(i) = i**2 + 8*i - 1. Let q be s(-9). Calculate the common denominator of (-534)/(-28)*q/(-24) and -77/8.
56
Let p = -159095/3 - -823894/15. Let o(y) = y**3 + 19*y**2 + 47*y - 18. Let h be o(-21). Let r = h + p. Calculate the common denominator of 11/6 and r.
30
Let m = 1759 + -1754. What is the least common multiple of 57 and m?
285
Let o = 533102 - 147135529/276. Let j = -11/69 - o. Find the common denominator of -57/20 and j.
60
What is the common denominator of ((-290)/(-90) + -4)/(6/9) and -41/2580?
2580
Let h = 2646968/97 - 27288. What is the common denominator of 1/11 and h?
1067
Let t = 26979/8 - 3378. What is the common denominator of ((-20)/5 - 0)/(28/34) and t?
56
Let j = -11 + 4. Let b(y) = -19*y - 8. Let f be b(j). Suppose -37 = -3*w - i + 32, -f = -5*w - 5*i. Calculate the least common multiple of 12 and w.
132
Let h = 91 - 88. Find the common denominator of -63/4 and h + -6 + 3 + (-106)/42.
84
Let t = -29881/6 - -4965. Calculate the common denominator of t and (-61)/6 + 2/(-3).
6
Let i = -3923711061/321386 + -1108/12361. Let s = 12211 + i. Calculate the common denominator of 33/7 and s.
182
Let f = 10 - 13. What is the common denominator of 0 + -1 + 570/20 and (5/(-30))/(f/116)?
18
Let w be -8*((-7)/(-2) - 3) - 3032. Let d = -100204/33 - w. Calculate the common denominator of 53/54 and d.
594
Let x(i) = i**3 - 5*i**2 + 2. Let f(n) = -3*n**3 + 11*n**2 - 3. Let a(y) = 2*f(y) + 5*x(y). What is the lowest common multiple of a(-3) and 7?
28
Let x(a) = 175*a**3. Let n be x(-1). Let q = 190 - 205. Calculate the common denominator of n/(-110)*q/7 and -113/10.
110
Let k = -1639 + 1959. What is the least common multiple of k and 112?
2240
Suppose 4*i - 65 + 1193 = -c, -1410 = 5*i + 2*c. Let w be (i/(-24))/(13/(-4)). Let j = w + 527/117. What is the common denominator of j and 89/6?
18
Let q = 26 - 23. Calculate the common denominator of -23/5 and (1 - q)*342/420.
35
Su