/693.
2079
Let i(m) = -m**2 + 9*m + 24. Suppose -8*n - 120 = -20*n. What is the smallest common multiple of 1 and i(n)?
14
Let q(m) = 25*m**2 - m. Let v be q(1). Suppose -6*b - v = -7*b. Find the common denominator of 101/6 and (88/6)/(16/b).
6
Let r(w) = 8*w + 82. Let t be r(-15). Calculate the smallest common multiple of 105 and ((-18)/5)/(t/475).
315
Let s = 5/20789867 - -130331667358/36860434191. Let y = s - 18/197. Calculate the common denominator of (53 + -4)/(-4 - 1) and y.
45
Let g(i) = i**2 - 70*i + 885. Calculate the smallest common multiple of g(15) and 144.
720
Let y(o) = o**3 + 7*o**2 + 9*o + 12. Let w be y(-6). Let r be (53496/(-22))/3 + 3 + w. Let u = -809 - r. Calculate the common denominator of u and -83/6.
66
Let i be (670019/42)/((-25)/15). Let a = -9563 - i. Find the common denominator of a and 89/150.
150
What is the smallest common multiple of 14*198/189 - 4/6 and (-5)/(-15) + 5/3?
14
Suppose -4*m - 2*m = 403 - 1339. Calculate the lowest common multiple of 1222 and m.
7332
Calculate the common denominator of -746*21/(-840) - 22 and -173/960.
960
Calculate the least common multiple of 2 and (12664 + -7)*(87/9 - 9).
8438
Suppose -544 = 3*b - 40. Let p be (-13 - (-5 - -5 - 5)) + 0. What is the least common multiple of p*(-7)/(b/(-9)) and 4?
12
Let p(a) = a - 3. Let s be p(-8). Let u = 10 + s. Calculate the least common multiple of 3/u - ((-8 - 3) + -2) and 14.
70
Suppose 2*c + k = 5 + 2, -3*c - 4*k + 3 = 0. Suppose 2*i = -c + 23. What is the lowest common multiple of 110/(-3)*16/(-120)*i and 48?
528
Let o(h) = h**3 + 10*h**2 - 9*h + 4. Let q be o(-11). Let v be q/(-4)*40/(-6). What is the lowest common multiple of v/(-2) - (-24)/8 and 4?
36
Let o = -48041/60 + 2419/3. Calculate the common denominator of o and 63/1090.
2180
What is the lowest common multiple of 14/(-147) + (-19)/21 - (-96)/12 and 6084?
42588
Suppose 0 = 2*x + 5*v - 180, 4*x + 4*v + 167 = 563. What is the lowest common multiple of 618 and x?
21630
Let n be (1143/(-27))/((-2)/6). Suppose -i + 132 - n = 0. What is the smallest common multiple of 48 and i?
240
Suppose 84*k = 63*k - 193*k + 310728. What is the least common multiple of 2541 and k?
10164
Let w be ((-3034)/(-74))/(-2 - (1 + -2)). Let f = 59 + w. What is the least common multiple of f and 288?
288
Let o = -155 + 51. Let u = o + 111. Calculate the least common multiple of u and 5.
35
Let j = 1450 + -1429. Calculate the lowest common multiple of j and 1554.
1554
Let l be ((-6)/(384/374))/(3/(-186)). Let p = -362 + l. What is the common denominator of p and 43/478?
3824
Suppose -2*j + 1200 = 4*n - 210, -699 = -2*n + j. What is the smallest common multiple of 540 and n?
7020
Let o(w) = 9*w**2 - 3*w + 10. Let y be o(2). What is the common denominator of 174/y + (3 - 153/45) and 31/26?
260
Suppose t - 4 + 0 = 12. Let v(o) = 11*o**3 - 4*o**2 + 3*o - 2. Let k be v(2). Let g = -32 + k. What is the smallest common multiple of t and g?
176
Find the common denominator of -49/8 and ((-10)/390)/((-3)/(693/(-946))).
4472
Let v be 5 + 742 - 5 - -2. What is the common denominator of (-2)/(v/356 + -2) and 7/25*10/8?
20
Let y(n) = n**3 + 17*n**2 - 18*n - 12. Suppose 97 = -5*u + 7. Let r be y(u). What is the common denominator of -85/22 and (3/(-6))/(r/98)?
132
What is the smallest common multiple of (-144)/(-80)*(-300)/(-2) and 90?
270
Let u = -269 + 485. Suppose 6*d - 2*d = 3*h - u, -5*h - 2*d = -334. Calculate the least common multiple of 12 and h.
204
Let z = 1/6691 - 267683/287713. Calculate the common denominator of 48/301 and z.
301
Let j(s) = -9*s - 1. Let t(d) = d + 14. Suppose 13*m + 20 + 175 = 0. Let r be t(m). Calculate the least common multiple of 2 and j(r).
8
Suppose -5*a + a = -3*y - 3, 0 = 2*y + a - 9. Let i be y/(-9) - 1490/4. Let m = i - -367. Calculate the common denominator of 91/4 and m.
12
Suppose -5*l - 5*g - 523 = -4*l, -2*g - 2182 = 4*l. Let w = l + 7667/14. What is the common denominator of w and (2145/1560)/(105/(-180))?
14
Let m = 93 - 77. Calculate the common denominator of 27/4 and m/((-7)/(14/(-4))).
4
Suppose -4*c + 2 - 9 = 3*w, -3*c = -3*w + 21. Calculate the common denominator of (w*3/1071)/((-72)/1596) and 85/16.
816
Let l = -2171/420 - -55/21. Find the common denominator of l and 49/20.
20
Find the common denominator of -44/219 and (-588)/(-99) - 1449/207.
2409
Suppose 0*s = 4*s - 48. Calculate the lowest common multiple of -2 - 10647/(-133) - (-3)/(-4)*(-92)/(-1311) and s.
156
Let r be -1*(5 - 2) - (-4411)/11. Let c = r - 272. What is the common denominator of 55/18 and (-1 - c/(-10))/((-21)/(-35))?
18
Let t = 134 - 119. Find the common denominator of (2/7 - 10/25)*t and 14/47.
329
Suppose 2*p = -3*p. Suppose p*b - 4 = 4*b. Let q(f) = 2*f**2 - f. What is the smallest common multiple of 9 and q(b)?
9
Let z(v) = -5*v**3 - 6*v**2 - 10*v - 6. What is the smallest common multiple of 515 and z(-2)?
3090
Let f = 514322/33 + -15584. Let k be (-1053)/(-12) - (-2)/8. Find the common denominator of k/(-15) + 2 - 0 and f.
165
Let n(w) = -293*w + 925. What is the lowest common multiple of 9 and n(-4)?
2097
Let q = 23 - 7. Let x = -13 + q. Suppose -4*h - 5 = -2*r - x*h, 0 = -4*r - 3*h + 15. Calculate the least common multiple of 10 and r.
30
Let c = -6161 - -6367. What is the smallest common multiple of 2 and c?
206
What is the lowest common multiple of 76 and 6 - -68*((-328)/(-32) - 0)?
2812
Let s be 794162/(-320) + (-6)/15. Let g = -6029 - -3548. Let t = g - s. Find the common denominator of t and -41/14.
224
Let n = -966 - -968. Suppose 3*q - 2*q - 5*j = 38, -j + 86 = 5*q. Calculate the lowest common multiple of n and q.
18
Suppose -20 = -5*h, -6*h + h + 32 = 3*c. Suppose 3*z + 63 + 178 = 5*s, 3*z = -c*s + 209. Calculate the least common multiple of s and 1.
50
Let z be ((2376/16)/(-11))/(3/(-67)). Let l = 301 - z. Calculate the common denominator of l and -3/110.
110
Suppose 5*q + 4 = 24. Suppose n + 4*n - t + 33 = 0, 3*t = -n + 3. Let o = 1 - n. What is the lowest common multiple of q and o?
28
Let u(d) = -24*d**3 + 3*d**2 + 2*d. Let l = 586 - 551. What is the lowest common multiple of l and u(-1)?
175
Let z(p) = -4*p**2 + 9*p + 38. Let n be z(13). Let w = n - -369. Find the common denominator of 361/w + (-4)/(-2) and -27.
8
Let h be 2 - 1001/(-7) - 6. Let b = 172 - h. Calculate the least common multiple of b and 30.
330
Let v = -278946553/774 + 360396. What is the common denominator of 11/1118 and v?
10062
Let d(t) = -40*t. Let b be d(0). Calculate the common denominator of -13/294 and 206/(-12) + 3 + b.
294
Let f = 1 + 15. Let x(m) = 62*m**2 - 19*m - 38. Let y be x(-2). Suppose -y = -11*n + 7*n. What is the smallest common multiple of n and f?
496
Calculate the common denominator of (480/(-276))/20 + (-3347)/(-3312) and -117/40.
720
Let o = 38352 - 34202. Calculate the smallest common multiple of 100 and o.
8300
What is the common denominator of ((-10)/72)/((-2)/38) and (104/(-20)*340/(-1632))/((-2)/(-10))?
36
Let s be ((-10)/1386)/((-6)/6759). Let m = 3/77 + s. Find the common denominator of 47/(-41877)*-11*-210 and m.
54
Let f(q) = -q**2 + 9*q - 6. Let n be f(8). Suppose -1 = -3*w + 5*y + n, 3 = -w + 3*y. Calculate the lowest common multiple of 86 and w.
258
Let q = 1212963 + -4424889071/3648. Calculate the common denominator of q and -113/4104.
32832
Suppose -9*c + 3*s - 13 = -10*c, -4*c + 24 = -2*s. What is the lowest common multiple of c and 3 + (-1 - 91)/(-4)?
182
Let r = 54757/10758 - -1/978. What is the common denominator of -1*(-156)/(-231) + 2/(-14) and r?
11
Suppose -177*c + 7660 = 33*c - 21740. Calculate the smallest common multiple of 42 and c.
420
Suppose 5*q - 2*q + 3*u - 18 = 0, -4*q = -2*u - 6. Suppose 0 = q*l - l - 16. Let z(r) = -r**2 - 29*r - 184. What is the lowest common multiple of l and z(-13)?
24
Let t = -331 - -309. What is the common denominator of (-19)/(-3)*(-6)/t*-2 and 31/11?
11
Suppose -5*q - 3750 = -2*k, k + 12*q = 9*q + 1842. What is the smallest common multiple of k and 27?
16740
Suppose -173*k - 4 = -174*k. Suppose -86 = -k*m - 2*i, -m = -i - 28 - 1. Calculate the least common multiple of 14 and m.
168
Let h(d) = 3 + 6 + 1 + 15 - 7*d - 1. Calculate the least common multiple of h(2) and 2.
10
Let d(m) = -m**3 - 21*m**2 + 15*m + 18. Let p be d(-22). Le