40
Let z = -705/4 + 3347/20. Find the common denominator of z and 43/464.
2320
Suppose -1 = -d - 2, 2*m + 2 = -2*d. Suppose -2*p + 38 = -k, m = -5*p - 4*k + 47 + 61. Calculate the least common multiple of p and 20.
20
Suppose -7*n + 37 = -5. What is the lowest common multiple of 4 and n?
12
Let n = -119359 + 959845/8. Let s = -619 + n. Let i = 1590 + -7981/5. Find the common denominator of i and s.
40
Find the common denominator of (4 - 6)*-10*(-3)/64 and 71/16.
16
Calculate the least common multiple of 8 and 253 - -3*(4 - 5).
1000
What is the common denominator of 1305/(-672) + 76/266 and 79/24?
96
Suppose -u + 2*u + 14 = 5*c, 0 = 2*c + 5*u + 16. Let d be 2/c - (188 + 5). Find the common denominator of 89/8 and 4/(-6)*(-1206)/d.
16
Let i = 23621893774252 - 214888365500057687/9097. Let m = 237915 - i. Let l = m - -627733/181940. What is the common denominator of -91/20 and l?
20
Calculate the common denominator of (((-28)/32)/(-7))/(12/18) and 121/36.
144
Find the common denominator of (-510)/(-935) + 2/(-3454)*1074 and 7/11.
1727
Let j be (0 - 2/(-102))*2. Let y = j - 4453/408. Let q = 3/2 + y. Find the common denominator of 17/7 and q.
56
Let g = 25 - 18. Let i(q) = q**2 - 9*q - 8. Let a be i(g). What is the common denominator of 6 + -4 - 56/a and 35/8?
88
What is the lowest common multiple of 1970 and -262 + 274 - 8/2*1?
7880
Let m = -453572 + 5893640/13. Let v = -26087/117 - m. Find the common denominator of -7/19 and v.
171
Let j(q) = -q - 1. Let n be (1 + 1)/(4/(-10)). What is the smallest common multiple of (-2 + ((-6)/2)/(-6))*-4 and j(n)?
12
Suppose 2*z - 12 = -4*t, 22 - 18 = -4*t. What is the smallest common multiple of z and 48?
48
Find the common denominator of 133/12 and 107/444 - (-87)/(-174).
444
Let n(p) = -p + 3. Let v be n(3). Suppose z - 8*z + 147 = v. Calculate the lowest common multiple of z and 30.
210
Let w = 8 + -16. What is the least common multiple of (w/4)/(1/(-2)) and 12?
12
Let t(a) = 20*a**2 - 9*a + 43. Let m(q) = 14*q**2 - 6*q + 29. Let g(d) = -7*m(d) + 5*t(d). What is the least common multiple of g(0) and 4?
12
Suppose -3*h = d - 25, 0*d - 4*d - 44 = -4*h. Let l(o) = 722*o + 2168. Calculate the least common multiple of l(-3) and h.
18
Let o = 164 + -165. What is the common denominator of 2 - (o/45)/(8/(-564)) and -83/24?
120
Suppose -1 - 139 = -4*y. Suppose 14 = h - 4*g, -2*h + y = g - 2. Calculate the least common multiple of (1 - 29)*(-2)/4 and h.
126
Let x = -546986 + 4392673/8. Let c = 2101 - x. Calculate the common denominator of c and -37/4.
8
Find the common denominator of 123/10 and (-20)/10 + 0 + 4/54.
270
Let v be (-4)/(-30) - (-4495286)/180. Let c = v - 24966. Calculate the common denominator of c and 107/(-90) + 4/30.
18
Let n = -137/2 + 117. Let a = -449/5 + 6789/80. Calculate the common denominator of a and n.
16
Find the common denominator of -27/25 and ((-11)/6)/(215/602).
75
Calculate the common denominator of ((-36)/16 - -2)*(-1616)/(-1176) and -24/35.
1470
Let j = 1511 - 1241. Calculate the smallest common multiple of j and 405.
810
Let x(t) = -t**2 - 5*t. Let w(b) = b - 10. Let m be w(7). Let h be x(m). Suppose -33 = -h*q - 9. Calculate the least common multiple of 12 and q.
12
Suppose 18*l - 1344 = 2*l. What is the lowest common multiple of l and 30?
420
Calculate the smallest common multiple of -33*(-8)/12 - 4 and 24/(-16)*40/(-6).
90
Let u = -1005580339/1424 + 706166. What is the common denominator of u and -145/18?
12816
Let i(g) = -g**3 + 4*g**2 - 3*g + 1. Suppose n = -2*n + 6. Let c be i(n). What is the common denominator of -1/6 and c*39/(-24) + -4?
24
Let t = 3821/3630 + 37/363. What is the common denominator of t and -79/220?
220
Suppose -4*s - b = -17, -4 - 4 = -s + b. Suppose c - 4*n + 11 = -1, -4*c + 57 = s*n. Suppose -1 + 19 = 3*f. Calculate the least common multiple of f and c.
24
Let k = 2 + 3. Suppose 12 = -4*r, 18 = 5*l - k*r - 2. Find the common denominator of 149/6 and 0 + ((-38)/(-36))/l.
18
Suppose -24 = -4*h + 144. Suppose i + 4*l = -5 - 4, -10 = 5*l. Find the common denominator of ((-46)/h)/(i/(-6)) and 49/4.
28
Suppose -6*c + 99 = -45. Suppose -2*t = 2*p + 2*t - c, 9 = p + t. What is the smallest common multiple of p and 11?
66
Suppose 0 = 8*q - 2444 + 292. Calculate the smallest common multiple of q and 1.
269
Suppose 0 = 2*m + 3*m - 4*p - 217, 3*p - 51 = -m. Suppose m - 17 = 4*f. Let n(s) = -11*s + 245. Calculate the lowest common multiple of f and n(22).
21
Let y be (-2950)/110 - 4/22. Let g = 41 + y. What is the lowest common multiple of 6 and g?
42
Let l be (-5 - (-39)/2)/(2/4). What is the common denominator of 89/24 and 0/2 - l*(-20)/(-48)?
24
What is the common denominator of (14945/810)/(-7) + 4 + -1 and 2/27?
162
Suppose 0 = -v - 0*v + 3, 2*g - 2*v = 24. What is the lowest common multiple of g/35 - 324/(-28) and 24?
24
Let v = 8140 + -81487/10. What is the common denominator of v and (-53)/(((-240)/4)/(-3))?
20
Let z(q) = -q**3 + 13*q**2 - 2*q + 7. Let i be z(13). Let h = 27 + i. What is the smallest common multiple of h and 14?
56
Let f = 1/2258 + 137705/74514. Let c = 11439 - 343109/30. What is the common denominator of f and c?
330
Suppose 13 = 2*i - 17. Calculate the lowest common multiple of 12 and i.
60
Suppose x = 2*h + 21 - 8, x + 4*h - 31 = 0. What is the smallest common multiple of -8 - 480/(-50) - 3/5 and x?
19
Suppose 1 = -s - w, -s + 7 = -2*s - 3*w. Suppose o - 4 = -s*d, 0 = 4*o + 5*d - 7 - 9. What is the least common multiple of 4 and o?
4
Let b = 56 - 43. What is the common denominator of b and 39/7?
7
Suppose -5*p + 6*z - z + 95 = 0, p - 3*z - 13 = 0. Suppose m = -5*i + 49, 3*i - 62*m = -59*m + 33. Calculate the lowest common multiple of i and p.
110
Suppose -4*y + 71 - 141 = 5*g, 76 = -4*y - 2*g. Find the common denominator of y and 21/2.
2
Let q(z) = -3*z**3 - z**3 + 3*z**3 + 6. Let b be 0*((-48)/(-12) - (-11)/(-3)). Calculate the least common multiple of 12 and q(b).
12
Let p = 4792 - -9157. Suppose 0 = -n + 4*i + 5198, -5*n + 5*i - p + 39909 = 0. Find the common denominator of -45/2 and n/(-756) - 4/(-18).
14
Let s = -14500 - -14514. Suppose -3*v - v + 40 = 0. What is the smallest common multiple of s and v?
70
Let f be 62/(-6) - (-4)/(-6). Suppose 0 = -13*s + 26*s - 273. Let u = s + f. What is the smallest common multiple of u and 22?
110
Let l = 786 + -782. Calculate the lowest common multiple of 28 and l.
28
Let q = -37 + 64. Let d = -15 + q. Suppose -5*n - 5*o = -85, 3*o = -3*n + 7*o + 16. Calculate the smallest common multiple of d and n.
12
Let f = -6973 + 10741. Let q be (8/(-6))/(16/f). Let x = q - -2601/8. Find the common denominator of x and 9/22.
88
Let n = -1985 + 1252534/631. Let z = -15751/15144 + n. What is the common denominator of 51/20 and z?
120
Suppose -4*f = -6976 + 6904. Calculate the least common multiple of f and 144.
144
Let o be (-12)/(-30) - (-32)/(-5). Let u = -4 - o. Let p(j) = 3*j + 2. Calculate the least common multiple of p(u) and 2.
8
Let b = 843 + -675. What is the least common multiple of b and 84?
168
Let m be -21 - (3 - 3 - 1). What is the common denominator of m/(-12)*8/(-10) and -77/2?
6
Let i = -28997/40 + 3549/5. Let a be 14*(-1 + 94/96). Let u = a - i. Find the common denominator of u and 55/14.
42
Let y be (1 + 1)/(5 - 4). Suppose 0 = -y*b + 2*m + 36, 4*m = 3*b - 4*b - 2. What is the least common multiple of b and 18?
126
Let x = 977838 - 9731109/10. Let h(d) = 4718*d**2 + d. Let i be h(1). Let o = x - i. Calculate the common denominator of -65/3 and o.
30
Let x(k) = -k - 8. Let u(d) = -4*d - 24. Let j(t) = 2*u(t) - 7*x(t). What is the lowest common multiple of 9 and j(-8)?
144
Find the common denominator of (-3)/(-4) - 19411/23364 and 119/18.
198
Let r = -6676/1617 + -88/147. Suppose -4*g + 48 = -2*g. Calculate the common denominator of r and g.
11
Let j(k) = 16*k**2 + 4*k + 12. Calculate the least common multiple of 171 and j(-4).
4788
Suppose 0*p = 2*p - 8. Suppose -p - 6 = -g. Let q = 182 + -175. Calculate the lowest common multiple of g and q.
70
Let a = 377 + -187. What is the common denominator of (a/15)/(8/(-2)) and 95/6?
6
Let l(t) = t**2 + 21*t + 94. Calculate the lowest common multiple of 12 and l(-15).
12
Let f = -20867/34568850 + -2/23775. Let c = f + -77051/15994. What is the co