95)/3365). Let m = v - 25/673. Calculate the common denominator of -19/33 and m.
231
Let q = 101766169838728602126 + -3085143205865254515235405/30316. Let z = 34119218029 + q. Let m = z + 2/7579. What is the common denominator of m and -107/22?
44
Let q(z) = -2*z. Let k be q(-1). Let a(v) = 12*v**3 - 13*v**k - 21 - 5*v**3 - 8*v**3 - 3*v. Calculate the least common multiple of a(-13) and 9.
18
Let a = -50925 - -6060130/119. Let o = 1607/7854 - a. Calculate the common denominator of 119/24 and o.
264
Let i be (5 - -2*(-412)/8) + -2. Let w = i + 447/5. Find the common denominator of ((-2)/3)/((-20)/(-33)) and w.
10
Let y = 56 + -53. Suppose 27 = -4*q + 9*q - y*w, -w - 1 = q. Calculate the least common multiple of (-54)/3*(-4)/3 and q.
24
Let a = 2/325059 - 6610193/107269470. Calculate the common denominator of -29/55 and a.
990
Let y = -144 - -154. Suppose -2*s + 12 = -80. Suppose -4*l + s = 6. Calculate the smallest common multiple of y and l.
10
Let f = 26166 - 22332. What is the smallest common multiple of 36 and f?
7668
Let w = 633 - 622. Let q(v) be the second derivative of v**3/6 + 13*v**2 + 2*v. Calculate the lowest common multiple of w and q(-19).
77
Suppose -4*d + 3*q = -7, 3*q + 4 = 3*d + q. Find the common denominator of (-285)/(-100) - d - 0 and 17/12.
60
Suppose 2*k = -6*v + 2*v, -4*v = -2*k - 16. Suppose -v*j + 33 + 39 = 0. Calculate the smallest common multiple of 36 and j.
36
Let o = 189 + -165. Calculate the common denominator of ((-15)/72)/(o/120) and -31/12.
24
Let k = -767981/36 + 21335. What is the common denominator of k and (((-55)/(-11))/20)/(54/213)?
72
Let q(a) = -27*a - 138. Let w be q(-5). What is the common denominator of w + 174*7/140 and -49/10?
10
Suppose 4*l - 920 = 8*h, 3*h + 687 = -41*l + 44*l. Calculate the lowest common multiple of l and 1102.
6612
Suppose 4*s = -5*u + 132, u = -s - 19 + 52. Suppose -5*h + 120 = 3*t, 3*h - 86 = -t - 14. What is the smallest common multiple of s and h?
264
Let l be (81 + 5 + -2)*10. Calculate the common denominator of ((-1953)/l)/((6/4)/1) and 25/38.
380
Let w(g) = 2*g**3 + 26*g**2 - 97*g + 2. Let o = 572 + 204. What is the least common multiple of w(-16) and o?
6984
Let d(i) = 3*i**2 - 73*i + 397. What is the lowest common multiple of 99 and d(7)?
99
Let r be (7 + -8)/(-2 - (-213)/105). Find the common denominator of -39/4 and (86/20)/(-8 - 259/r).
12
Let m = 855 + -801. Let v be 59 + 3 - (-2 + 2). Let b = v - m. What is the lowest common multiple of b and 18?
72
Suppose 0 = z - 2*u - 588, 3*z - 146*u - 1746 = -149*u. Calculate the smallest common multiple of 48 and z.
3504
Suppose -82*n - 174*n = -240640. Calculate the lowest common multiple of n and 329.
6580
Let d = -7/222 - -4121/444. Let f be (-12)/(-7)*(-4902)/(-8). Let w = f + -162263/154. What is the common denominator of d and w?
44
Let z = 107511 + -9031039/84. Calculate the common denominator of (-5)/(675/820) + -3 + 7 and z.
756
Suppose 0 = -21*h + 39*h - 1620. Calculate the smallest common multiple of h and 12.
180
Let q = -984606015262297/39570 + 24882638744. Let x = 2/3957 - q. What is the common denominator of x and 33/176 - (-3213)/(-2160)?
10
Let t be (1 - -1) + (-53)/(-1). Suppose 5 + t = 5*l. Suppose 7*g + 72*g - 1106 = 0. What is the least common multiple of g and l?
84
Calculate the common denominator of -10*(-8 + (-90642)/(-7548) - 4) and 63/170.
6290
Suppose -12*g - 389 - 91 = 0. Calculate the common denominator of 193/210 and (-196)/g - (-4 + 3)/6.
210
Suppose x - 2*s - 19 = -7, 3*x = -3*s. What is the smallest common multiple of (49/77)/(2/22) and x?
28
Suppose -3123 = -7424*k + 7421*k. What is the smallest common multiple of 5 and k?
5205
Suppose -97 = 3*y - 97. Let v(s) = -8*s + 20. Let i = 42 + 0. What is the smallest common multiple of i and v(y)?
420
Let q = -283 - -7. Let k = -204 - q. Calculate the least common multiple of 32 and k.
288
Suppose 286 - 316 = w. What is the smallest common multiple of -1 + -3 - 90/w - -389 and 20?
1940
Let i(a) = -32*a**2 + 5*a. Let q be i(7). Find the common denominator of (-10)/(-25) + q/270 and 41/27.
54
Suppose -4*p - 5*u + 51 = 0, -2*p + 33 = -7*u + 2*u. Let v be ((-1)/22 + 0)/((-2023)/p). Let i = v + 238399/82654. Find the common denominator of 79/20 and i.
260
Let c be (7 + 250/(-15))/((-1)/(-9)). Find the common denominator of (6 + c/(-4))*4/(-150) and 37/15.
150
What is the least common multiple of ((-148)/10 + 16)*(21850/3)/5 and 276?
5244
Suppose 0 = 2*p - 25 - 13. Suppose p*v - 14*v = -135. Calculate the smallest common multiple of 20 and (-62)/(-6) - (-9)/v.
20
Let d = -55/6 - -493/66. Calculate the common denominator of d and 161/66.
66
Suppose -2*j - 63359 = -65177. Calculate the lowest common multiple of j and 3.
909
Let o = 303 + -53329/176. Let w = 85/528 - o. Calculate the common denominator of ((-39)/(-44))/((-9)/(-6)) and w.
66
Suppose 0 = -0*p - 2*p + 12. Let o = -2797735/22 - -127166. Calculate the common denominator of o and 4/(-16) - p/(-20).
220
Let d(g) = g**3 + 28*g**2 + 7*g + 35. Let i be d(-16). Suppose 8*t - 56389 = i. Let z = t - 244978/33. Find the common denominator of z and 65/18.
198
Let h(o) = 29*o + 115 + 44*o - 32 - 3*o**2 + o**2 - 20*o. What is the least common multiple of 6 and h(26)?
654
Let t = -6742 + 6992. Calculate the smallest common multiple of t and 450.
2250
Suppose -13362 = -4*z - 10831 + 13689. Calculate the lowest common multiple of z and 45.
36495
Let q = 1832 + -1828. Calculate the smallest common multiple of q and 2.
4
Let r = 2/7431 + -312124/81741. What is the common denominator of r and -7/1826?
1826
Suppose 3*o = 2*p + 17, -p - 4*p - 4 = -2*o. Suppose 0 = 5*u + x - 6 - 2, -2*x + 11 = 5*u. Calculate the least common multiple of o and u.
7
Let d = 0 - -24. Suppose 31 - d = -r. Calculate the common denominator of 113/6 and (-7 - -1 - r) + 262/36.
18
Let j(c) = -9*c**2 - 82*c + 18. Suppose -7*t = 3*a - 3*t - 8, a + 2*t - 2 = 0. What is the least common multiple of a and j(-9)?
108
Let t(l) = -l - 21. Let q be t(-25). Let c be 39*1*(25/(-5) - -6). Suppose -k + 3*k - 39 = 5*a, c = q*k + 3*a. What is the lowest common multiple of 12 and k?
12
Suppose -u + 1367 = -2*u + a, 2*a + 1364 = -u. Calculate the common denominator of -8/27 and (-8)/128 - u/864.
27
Let f = 205192 + -125577463/612. Find the common denominator of -71/198 and f.
6732
Let w = -151 + 132. Let y(n) = -2*n - 34. Calculate the least common multiple of 4 and y(w).
4
Let f be 0 + 6*(-35)/(-42). Suppose 0 = 4*k - f*d - 9, k - d + 15 = 3*k. Calculate the smallest common multiple of k and 54.
54
Let w be ((-6)/(-840))/(70/(-763300520)). Let r = -77888 - w. Calculate the common denominator of r and -29.
245
Suppose -9 = -3*a - 105. Find the common denominator of -89/6 and (-3)/(30/(-71)) - 96/a.
30
Suppose -3*f = 5*o + 135, -o - 84*f + 89*f + 1 = 0. Let z = 6 - 10. What is the least common multiple of (2 + 74/z)*o/18 and 6?
66
Suppose 1314 = 2039*k - 2041*k. Let a = 672 + k. Calculate the least common multiple of 10/5 - 7*-4 and a.
30
Let m(y) = -y**3 - 16*y**2 + 32. Let o be m(-18). Suppose -687*r + 28 = -o*r. What is the lowest common multiple of 15 and r?
60
Let q = -8054 - -8106. What is the lowest common multiple of q and 338?
676
Let i(w) = w + 11. Let t be i(-12). Calculate the common denominator of (713/310)/(1*(t + 2)) and 49/99.
990
Let q = 2813 - 28089/10. Let n = -11653/22591 + 2/551. Find the common denominator of q and n.
410
Let s = -1407523/7200 - -6243/32. Calculate the common denominator of 33/200 and s.
1800
Let j(n) be the third derivative of n**4/2 - 17*n**3/2 + 38*n**2 + 1. What is the least common multiple of 99 and j(5)?
99
Let z be -2*18 - (-5 - 1)/6. Let g = 512 - 13802/27. Find the common denominator of g and -3 + 597/189 - 10/z.
27
Suppose 4*z - 16 = -2*i, -4 = 3*i + 3*z - 19. Let f be (3*28/24)/((-1)/i). Let j(s) = -4*s + 2. Calculate the smallest common multiple of 18 and j(f).
90
Suppose 4*b = 32*m - 36*m, -4*m = -2*b + 30. Calculate the lowest common multiple of 170 and 14 - b/((-30)/36).
340
Suppose 0 = -22*n + 15*n + 210. Calculate the smallest common multiple of 71 and 11 + n/(-5) + (4 - 0).
639
Find the common denominator of -4/903 and ((-370)/3885)/((-10)/(-123)).
4515
Suppose 0*x + 40 = 5*x. Suppose 0 = 489*p -