/15. Calculate the common denominator of m and -133/24.
120
What is the least common multiple of 8 and ((-1875)/(-6))/((-1)/(-32))*(-1545)/(-2060)?
15000
Suppose 5*a - 3*q = 26, 2*q - 13 = 2*a - 3*a. Suppose -a*f + 40 + 23 = 0. Let x(t) = -25*t**3 + 1. Calculate the smallest common multiple of x(-1) and f.
234
Suppose 5 = 2*t - c + 4*c, 0 = 4*t - 2*c - 2. Let b(w) = 232*w - 2. Calculate the least common multiple of b(t) and 2.
230
Let d = 13097 - 11949. What is the lowest common multiple of 820 and d?
5740
Let h be (-14)/(-4) - 16/32. Suppose 3*q + 127 = 8*q - n, -3*n + 69 = h*q. What is the smallest common multiple of ((-60)/q)/(3/(-10)) and 8?
8
Let s = -334884401434 + 104130295319289607/310944. Let g = -1/9717 - s. What is the common denominator of g and -29/20?
160
Let h(i) = 5*i + 68. Let z be h(-14). Let j(f) = -36*f + 2. Calculate the lowest common multiple of 22 and j(z).
814
Let p = 7686493319/56 + -137263227. Let m = p - -8835/2. What is the common denominator of -111/56 and m?
56
Let t = 15 + -9. Let z be 9/t + 262172/9. Let d = z - 29139. Find the common denominator of -113/36 and d.
36
Let k = 67029 - 6032717/90. Calculate the common denominator of -101/70 and k.
630
Suppose -25*i - 420 = -35*i. Let g = -37 + i. What is the least common multiple of 37 and g?
185
Let m(u) = u. Let h be m(-4). Let b be 16 - (h - -4 - -3). Let t = 5 + b. What is the smallest common multiple of 16 and t?
144
What is the common denominator of 21076/(-944109) - 2/(-72) and -31/6?
7884
Let t = 327/13 - 2291/104. Suppose -2*x + 0*x = 4. Find the common denominator of (-164)/(-16)*x/(-17) and t.
136
Find the common denominator of (2/(-96))/(-8 - 19264/(-2448)) and -181/360.
2880
Suppose -250*t + 32602 + 11574 = 9176. What is the lowest common multiple of 65 and t?
1820
Let o(z) = 3*z**2 + 5. Let v be o(0). Suppose -v*m + 530 = -2*g - 0*g, -g = 4*m - 411. Let t = m - 96. What is the smallest common multiple of 10 and t?
40
Let n = -92 + 111. Suppose 3*k - 20 = n. What is the lowest common multiple of k and 13?
13
What is the common denominator of 67/20 and 3945/(-8475) + (-2)/(-5)?
2260
Let u(d) = -d**2 + 81*d + 1088. Calculate the smallest common multiple of 52 and u(85).
9724
Suppose 0 = n - 4*j + 124, 3*j - 390 = 3*n - 0*j. What is the common denominator of (n/14)/(75/(-70)) and 0 - (6/(-33) + 4611/(-594))?
90
Let i be ((-3)/(-6))/(7/196). Suppose -4*z = i - 50. Suppose -4*q + 6 + 50 = 4*x, 0 = -3*x + z. Calculate the smallest common multiple of q and 4.
44
Let d(n) = n**2 + 7*n - 12. Let a be d(-9). Suppose 2*s - 4*u = a*s - 92, 3*s - 5*u = 53. Let m = -5 + s. Calculate the lowest common multiple of 38 and m.
304
Let i = -198360353/704 - -281762. What is the common denominator of i and -111/154?
4928
Let d = -30659 - -3219122/105. Find the common denominator of d and 2920/(-3650) + (-37)/(-40) + (-523)/120.
210
Suppose -m + 19 = -45. Suppose -88*l = -17*l + 1420. Let p = m + l. What is the smallest common multiple of 28 and p?
308
Let o = 328241/44 - 7459. Calculate the common denominator of o and 71/136.
1496
Let m(n) = -n**3 - 15*n**2 - n + 13. Suppose -40*j = -49*j + 756. Calculate the smallest common multiple of j and m(-15).
84
Let v = -10927 - -11279. Calculate the smallest common multiple of 192 and v.
2112
Suppose 229*q = 211*q + 36. Suppose 27*u - 26*u + 43 = y, q*y - 5*u = 89. Calculate the lowest common multiple of 28 and y.
84
Suppose 1228 = -9*z + 5*z + 3*j, -3*z + 5*j - 932 = 0. Let a = z - -388. Calculate the smallest common multiple of 54 and a.
756
Suppose -3*d + 5*a = 2*d - 50, 0 = 5*d + 5*a - 10. Suppose 5*q - 1276 = q - 2*o, 0 = 5*q - 2*o - 1586. Calculate the least common multiple of q and d.
318
Let a = -1291/140 - -243/20. Suppose 1054 = 22*y - 39*y. Calculate the common denominator of y/(-8) - 39/104 and a.
56
Suppose 0 = -5*y + 10*y - 95. Let l be y/7 + -1 + (-50)/(-175). Suppose 76 = 5*q - 4*t - 67, 161 = 5*q + l*t. Calculate the least common multiple of q and 3.
93
Suppose 3*q = a - 593, -17*a + 6970 + 3307 = -2*q. What is the lowest common multiple of a and 847?
4235
Let j(f) = f**2 + f + 45. What is the smallest common multiple of j(18) and 645?
1935
Let p = -13/3 + 70/9. Suppose 4*m - 6*c = -c - 322, 0 = m - 2*c + 82. Calculate the common denominator of p and (-2)/4 - (-111)/m.
117
Let k = 36/215 + 6277/1290. Let x(g) = -4*g + 11. Let u be x(-1). What is the common denominator of k and (-616)/240*u/12?
120
Let d(j) = 10*j - 25. Let h be d(3). Suppose -5*r = -7*r + 2*t + 120, -h*t - 240 = -4*r. Calculate the smallest common multiple of r and 20.
60
Let w(o) be the second derivative of o**4/12 - o**3/3 + 25*o**2 - 7*o + 3. What is the smallest common multiple of 7 and w(0)?
350
Calculate the common denominator of 76/567 and 165/20 - (0 + 14 + -5 + -2).
2268
Let b(y) = 2*y + 64. Let f be b(-10). Suppose -35*z = -f*z + 540. What is the least common multiple of z and 8?
120
Let p be (3/(-4))/((-2)/8). Let z = 136 - 131. Suppose -w + s = -32, -z*w - p*s + 81 = -79. What is the lowest common multiple of 8 and w?
32
Let x = -154853720 + 6194910149/40. Let p = 19035 - x. What is the common denominator of p and 11/8?
40
Let y(b) = -b**2 + 14*b + 54. Let z be y(18). What is the common denominator of 71/9 and ((-287)/(-21) - 16)*10/z?
27
What is the common denominator of -51 + 52 + (-38)/24 and -89/24?
24
Let k be 2/10 - 4050/19750. Let o = k - 20931/790. Calculate the common denominator of -73/6 and o.
6
Let d = -3755983 - -23963171619/6380. Find the common denominator of d and -131/18.
57420
Suppose r = 5*t + 1114, 2*r + 3*t - 5570 = -3*r. Calculate the smallest common multiple of 15 and r.
16710
Suppose -2*k + 3*g + 507 = 0, 11*k + 2266 = 20*k + 2*g. Calculate the lowest common multiple of 7280 and k.
65520
Calculate the smallest common multiple of (416 - 421)*((-18)/(-10))/((-2)/2) and 224.
2016
Let b = 16 - -20. Suppose 24*z - 126*z = 31*z + 594 - 3786. What is the smallest common multiple of z and b?
72
Find the common denominator of (-9)/(-10)*(-2106)/(-24921) and -5/3124.
15620
Let b = -1 + 10. Let s be 1 - 24/(-4) - (13 - -14). What is the least common multiple of 11 and b + s/4 - -3?
77
Let d = 197/150 - -49/75. Let z be (7480/(-204))/(0 + 1/(-3)). Find the common denominator of (59/60)/(z/(-275)) and d.
120
Suppose -y - 4 = -i - 2*y, -4*i + 4*y + 56 = 0. Calculate the smallest common multiple of -11 + (-338)/(-39) + 1891/93 and i.
18
Let m(b) = -b**3 - 9*b**2 - 9*b - 65. Suppose 0 = 3*y + s + 2*s + 27, -4*y + 3*s = 36. Calculate the lowest common multiple of 44 and m(y).
176
Calculate the common denominator of (6/28)/((-960)/72800) and 37/6066.
12132
Let u = -24 - -23. Let t(c) = -20*c**3 + c**2 - 2*c - 2. Let p be t(u). Find the common denominator of -3/8 and 3748/(-504) - 6/p.
72
Let y = 343/20 + -329/10. Let p be (3*3/18)/((-6)/(-108)). Calculate the common denominator of y and (-6)/p*(-318)/(-100).
100
Let j(h) = 4*h - 11. Let y be j(29). Find the common denominator of -45/8 and 2210/336 - 10/y*3.
24
Let v(q) be the first derivative of 2*q**3/3 + 13*q**2 - 22*q + 51. Suppose 5*z - 2*z - 81 = 0. What is the least common multiple of v(-14) and z?
54
Let v = 5000929821/10547 + -24739485/53. Let y = v - 7374. Calculate the common denominator of -44/5 and y.
995
Let u = 1/465732 + -1198843/6675492. What is the common denominator of 15/86 and u?
774
Let f(l) = 36*l + 7. Let a be f(-3). Let b = 12 + -101. Let m = b - a. What is the smallest common multiple of 6 and m?
12
Let u(k) = k**3 + k**2 + k + 1898. Let m be u(0). Suppose m = -0*g + 13*g. What is the least common multiple of 22 and g?
1606
Let n = 4452 - 3832. What is the smallest common multiple of 50 and n?
3100
Suppose 5*s + 175 = 11*j - 6*j, 3*j + 2*s = 140. What is the least common multiple of j and 846?
5922
Let b be (-6)/10 + (-126813962)/(-1020). Let f = b + -124328. What is the common denominator of f and 55/9?
306
Let a(l) = -6*l + 86. Let p(m) = 11*m - 173. Let o(k) = -5*a(k) - 3*p(k). Calculate the lowest common multiple of o(15) and (1 - 0 - -38) + 1.
440
Suppose -45 = 9*v - 0. What is the common denominator of v/(-1) - (-2490)/(-396) and -19/8?
264
Let r(k) = -9*k**3 - 2*k - 2. Let b be r(-1). Let l = b - 6. Suppose -35 = l*u - 8*u. Calculate the least 