2
Let n = 12426 + -6147. Suppose 0 = -5*x + 2*x - n. Calculate the common denominator of (-4)/6 - x/84 and 5/9.
36
Suppose -4*t = -43 - 5. Suppose 3*p + f = 15, 25 - 65 = -4*p + 2*f. Calculate the smallest common multiple of t and p.
84
Suppose -z = z. Let k(a) = -3*a + 8. Calculate the least common multiple of 10 and k(z).
40
Let v be 9/(-1190)*(-8)/42. Let x = v - -178861/162435. Let g = x + 1909/780. Calculate the common denominator of g and 3/2.
20
Suppose -p - 5*w = -134, 2*p - 294 = 91*w - 88*w. Calculate the smallest common multiple of p and 306.
2448
Suppose 2*r - 104 = -14. Let t = -30 + r. Calculate the smallest common multiple of 36 and t.
180
Calculate the lowest common multiple of (-54)/((-6)/4 - (0 + 0)) and 84.
252
Let q(d) = d**2 - 1. Let s(w) = w**3 - 2*w**2 + 2*w - 7. Let m(p) = q(p) - s(p). Let h be m(4). What is the common denominator of ((-14)/(-8))/(h/168) and 24/5?
15
Let j be (66/4)/(15/80). Suppose 4*h + j + 96 = 0. Find the common denominator of (-14)/49 + h/280 and -137/12.
60
Suppose r + r - 60 = 0. Let o = 45 - 50. Calculate the least common multiple of -7 + (-15)/o + 8 and r.
60
Let c(x) = -6*x + 9. Let r(u) = -4*u + 21. Let j be r(6). Calculate the lowest common multiple of c(j) and 12.
108
Let i = 78 - -464. What is the lowest common multiple of 14 and i?
3794
Let c(n) = 141*n**2 + n. Let u be c(-1). Let b be (-17)/4 + (-4)/(-16). What is the common denominator of 915/u + 3/b and 17/20?
140
What is the common denominator of (-52)/12*11/(-33) and -93/10?
90
Suppose -5*x = -3*x + 4*j - 620, 3 = j. Calculate the lowest common multiple of 36 and x.
2736
Suppose -2*o - 137 = -o + 3*c, 306 = -2*o + 2*c. Calculate the common denominator of -23/6 and ((-2)/(-32)*o)/((-6)/8).
12
Let i(q) = q**3 - 18*q + 11. What is the smallest common multiple of i(5) and 18?
414
Let s = 118 + -96. Let r = 24 - s. Calculate the least common multiple of r and 10.
10
Let i = 613659/220 + -3527/44. Let b = i + -2721. Find the common denominator of -28*(-28)/(-560) + 7/(-10) and b.
10
Let p = 5797/2940 + -1/196. What is the common denominator of 37/60 and p?
60
Let f = 2107 + -2023. What is the lowest common multiple of f and 112?
336
What is the common denominator of 20/12*(-9)/20 and 29/11?
44
Suppose -21*t + 23*t = -n + 120, -4*t = 8. What is the lowest common multiple of n and 36?
1116
Let l = -45 - -31. What is the least common multiple of (3/4)/((-3)/(-96)) and (88/10)/(l/175*-5)?
264
Let g be (-1 - -3)*-1 - -38. Suppose 3*r - 4*o = g, 3*o - 24 = -2*r - 2*o. Suppose 0 = -3*q - 321 + 354. What is the lowest common multiple of q and r?
132
Let u = 30452 - 1096153/36. What is the common denominator of u and -37/28?
252
Calculate the lowest common multiple of (4 - 1)/((-30)/(-40)) and 8/(-10)*115/(-2).
92
Suppose 15*z - 97 = 83. What is the lowest common multiple of 12 and z?
12
Let l(s) = -25*s + 56. Let v(z) = 3*z**2 + z. What is the smallest common multiple of l(2) and v(2)?
42
Let n(y) = 26. Let w(f) = f - 25. Let h(c) = 5*n(c) + 6*w(c). What is the smallest common multiple of 6 and h(5)?
30
Suppose -15*t - 310 = -10*t. Let u be t/4*22/11. What is the smallest common multiple of 5 and 6/(-18)*(-2 + u)?
55
Let q(t) = t**3 - 12*t**2 + 27*t - 16. What is the least common multiple of 200 and q(11)?
800
Find the common denominator of 1 - (1 - 1) - 580/(-24) and (-10)/1*((-58)/(-36) - 2).
18
Let a be (-126)/7 + -1 + 4. Calculate the common denominator of -53/6 and 2 - (0 + (-69)/a).
30
Let v be 166/(-10) - (-30)/50. Let i = 39/4 + v. Let p = 38/29 + 2527/174. Find the common denominator of i and p.
12
Let d(g) = -g. Calculate the least common multiple of d(-4) and (-87)/(-5) + 511/(-365).
16
Let w = 9 + -1. Suppose -12 = w*l - 2*l. Calculate the least common multiple of (-33)/(-22)*l/(-3) and 14.
14
Suppose 4*v = -14*w + 9*w + 45, 2*v = 2*w + 18. Calculate the least common multiple of 56 and v.
280
Let m = -135 + 132. Calculate the common denominator of (-3)/(-7)*(-186)/18 - m and 41/11.
77
Let n = 289013/71578 + 2/2753. Find the common denominator of n and -51/11.
286
Let b be (354/16)/((-9)/(-114)). Let s = -264 + b. What is the common denominator of (4/(-20))/((-1)/3) and s?
20
Let n = -103135/21424 - -2/1339. Suppose 0*t + 3*t - 3*o + 93 = 0, 5*t + 5*o + 135 = 0. Find the common denominator of (-6*t/(-4))/(-5) and n.
80
Let f = -303/2 + 183. Find the common denominator of (-9 - 382/(-39)) + 1*-1 and f.
78
What is the common denominator of -46 and 5 - (-345)/(-75) - 398/640?
320
Let i(h) = -43*h - 470. What is the smallest common multiple of 6 and i(-48)?
4782
Suppose -o - 13828 = -3*o. Let n be 276065/4*(-5)/50. Let g = o + n. Calculate the common denominator of -69/22 and g.
88
Let y = -11 - -11. Suppose y = -5*c + 51 + 69. Calculate the least common multiple of 16 and c.
48
Let i(h) = -2*h + 20. Let d be i(8). Suppose 8*m = d*m + 80. Calculate the least common multiple of 6 and m.
60
Let d be (30/14 - 2)*-29. Let m = 1387/154 + d. What is the common denominator of (-2)/(-10) + 161/420 and m?
132
Suppose p - 27 = -3*s + 21, -80 = -5*s - p. Calculate the least common multiple of s and (-3)/2 + 324/24.
48
Let n = 46006 - 4140581/90. Find the common denominator of n and -93/40.
360
Let q = -31606161/208 - -151953. Calculate the common denominator of q and 119/6.
624
Let d be ((-3722)/8)/(693/(-28)). Let v = d + -134/9. Find the common denominator of (-1)/4 + 197/36 and v.
99
Let y be -1 + 1*(4 - 1). Suppose y*g + 5 + 35 = 4*t, -10 = -t - 5*g. Calculate the least common multiple of t and 13.
130
Let a = -1844603/171 - -10787. Find the common denominator of -61/38 and a.
342
Calculate the common denominator of 109/176 and 3 + (-1 - -1) + 2448/(-891).
1584
Calculate the lowest common multiple of 132 and -14*1/(-49) + (-66)/(-14).
660
Calculate the common denominator of -39/10 and 3 + 89/(-10) - (-35)/(-7).
10
Let n = -3/2029 + -86707/365220. Find the common denominator of n and -145/6.
180
Let o = 1833 - 22133/12. Let w be 1 - (-6)/(-2) - -4. Calculate the common denominator of o and 107/((2 + 5)*w).
84
Let y = 11663/5 - 198332/85. Calculate the common denominator of y and -27/7.
595
Let h = -6 + 189. What is the lowest common multiple of 18 and h?
1098
Find the common denominator of -79/48 and -157*10/480 - 2/(-6).
48
Let d(k) = k**3 - k**2 + 9. Suppose -3*l = 4*o - 1, 6*l - 4*o - 14 = 4*l. What is the lowest common multiple of d(0) and l?
9
Suppose -5*g + 8 = -3*h + 28, 0 = -g - 4*h - 4. Calculate the common denominator of 9/6*42/4 and 15/2 + (-3)/g.
4
Let b = -1023 + 1083. What is the least common multiple of b and 8?
120
Find the common denominator of 41/30 and 78/(-27)*((-63)/6)/(-7).
30
Let f = -126518 - -1010785/8. Let g = -721/4 - f. Find the common denominator of g and -23/37.
296
Suppose 0 = -27*a - 140145 - 67566. Let y be (2*(-123258)/16)/2. Let d = a - y. Calculate the common denominator of d and -53/4.
8
Let x(b) be the first derivative of b**3/3 + 2*b**2 + 3*b - 2. Let q be x(-4). Suppose 2*n = -q*n + 35. Calculate the smallest common multiple of 1 and n.
7
Let r be (-1 - -1) + 4520/10. Suppose -458 = -h + r. Calculate the common denominator of -69/2 and (-2)/13 - (-3871)/h.
10
Suppose -5*f - 292 = -4*o, -15*f = -2*o - 19*f + 172. What is the smallest common multiple of 22 and o?
858
Let v = -707 + 719. Calculate the least common multiple of v and 12*(-1 - (-16)/6).
60
Let d = -38 + 41. Suppose 2*s + 3*v + 25 = 4*s, s + d*v - 26 = 0. What is the least common multiple of 4 and s?
68
Suppose -4*g = d - 16, -4*d - 22*g + 17*g + 42 = 0. Calculate the lowest common multiple of d and 32.
32
Suppose 0 = -i - c + 16, -1 - 5 = -i - 3*c. Suppose 3*m - 122 = 5*x, 4*x + i = 4*m - 139. What is the common denominator of m and 11/2?
2
Let c(w) = w - 6 + 3*w - w - w. Let h be c(4). Suppose -2*p = h*p - 64. What is the smallest common multiple of 16 and p?
16
Let a = 4 - 71/5. Suppose m - 66 = -2*m. Find the common denominator of a and 0/(-3) - 16/m.
55
Suppose 756 = -120*k + 141*k. What is the smallest common multiple of 8 and k?
72
Let n(j) = 7*j - 49. Calculate the least common multiple of n(10) and 84.
84
Let c = -72 + 61. Let g = c + 74. Calculate the lowest common multiple of 6 and g.
126
What is the least common multiple of (-6)/((-