1/4 and (142/(-75))/(j/5)?
180
Let t(n) = 2*n**3 + 9*n**2 - 4*n + 12. Let f be (8 + 1)*1/3. Suppose 23 = -4*q + f. What is the least common multiple of t(q) and 11?
77
Let h = -74257 - -10692947/144. Calculate the common denominator of h and 91/60.
720
What is the common denominator of 26/(-65) + (-154)/(-20) and -14 + 40 + (-2 - (1 - 0))?
10
Suppose 41*v + 648 = 42*v. What is the least common multiple of v and 6?
648
Let t be 2*30*(-6)/(-2). What is the lowest common multiple of (3/(-9))/((-6)/t) and 20?
20
Suppose -5*c + 41 = -2*x, 4*c + x - 47 = -c. Suppose -35*t + 849 = -201. Calculate the least common multiple of c and t.
90
Find the common denominator of -52/17 and (-270)/136 + -9*(-12)/144.
17
Let v = 111 + -104. What is the lowest common multiple of v and 12?
84
Let x = -13 - -19. Let g = 24713/1056 + -862/33. What is the common denominator of (-95)/x*(-2)/(-10) and g?
96
Suppose -10*z + 9*z = 5*y - 220, -y = z - 44. What is the least common multiple of 22 and y?
44
Suppose 31 = p + 2*j, 4*p + 6*j = 10*j + 64. Calculate the smallest common multiple of 6 and p.
42
Suppose -2*s - 2*r + 12 = 0, -2*s - 3*r + 31 = 23. What is the least common multiple of s and 54?
270
Find the common denominator of (18/14)/((-200)/420) and 41/107.
1070
Suppose 4*g = -u + 445, 3*g + 5*u - 123 - 198 = 0. What is the smallest common multiple of 6 and g?
336
Calculate the common denominator of 79/120 and (-96483)/(-15660) - (7 + (1 - 1)).
360
Let z be (6 - 3) + (-4)/(-2). Let g = 2 + z. Let q(t) = 2*t - 4. What is the lowest common multiple of 6 and q(g)?
30
Let w = -444 - -2701/6. What is the common denominator of -51/422 and w?
1266
Let d be (1 - (-4)/(-5 + 1))/2. Suppose 12*x + 3*x - 240 = d. Calculate the lowest common multiple of x and 7.
112
Let s(r) = 11*r - 2. Let k be s(2). Suppose -o = -2*o + k. Let f = -72 + 90. What is the lowest common multiple of f and o?
180
Suppose 3*p = j + 11, -8 - 7 = 3*p. What is the common denominator of 19/26 and j?
26
Let u(p) = -p**3 - 5*p**2 - 2*p - 6. Let f be u(-6). Suppose 45*s - f*s - 54 = 0. What is the least common multiple of 2 and s?
18
Let y = -123/238 - 15/14. Let v be 6/(-15) + 3846/340. Let n = v - y. What is the common denominator of -65/4 and n?
4
Let x = -349019/40668 - 4/3389. What is the common denominator of x and 879*(-5)/(-225) + 15/50?
12
Let l = -84 - -88. Suppose r - 6 = -0. Find the common denominator of r*l/(160/19) and 19/14.
140
Let t(i) = -i - 22. Let n be t(-24). Suppose 0 = n*x, -c + 80 = 3*c - x. What is the lowest common multiple of c and 10?
20
Let t be ((-1)/(-6) - 539/21)*22. What is the common denominator of t/60 + 2/(-5) and 27/106?
212
Suppose -12*y + 0*y - 12 = 0. What is the smallest common multiple of (y/(-5))/((-4)/50)*-2 and 11?
55
Let l be (10/(-370))/((-4)/642). Let j = 1/222 - l. Find the common denominator of j and -35/2.
6
Let x be 4/39*13/(-26). Let s = -166/195 - x. Find the common denominator of s and -27/11.
55
Suppose 0 = 7*a - 9*a - 44. Let c be ((-99)/a)/(1/(-4)). Let o = 10 - c. What is the smallest common multiple of 20 and o?
140
Let g be 651/105 + 1/(-5). Suppose -2*f - 3*p + g*p - 74 = 0, -4*f - 164 = 2*p. What is the common denominator of 101/(-4)*(-16)/f and -54/11?
110
Let k = -305/4 - -431/6. Calculate the common denominator of -23/86 and k.
516
Let l = 7817/6 - 1323. Let q = 1/2259 - 41417/4518. Calculate the common denominator of l and q.
6
Let q = 70/107 + -4367/1605. What is the common denominator of q and -59/40?
120
Let y(a) = -2*a + 4. Let k be 5*(12/(-2))/(-3). Let n be 2/k + 124/(-20). Calculate the smallest common multiple of y(n) and 16.
16
Let f be 1 - (-2 - -3 - 1408). Let j = f - 19727/14. Let l = -45839/12 - -3819. Find the common denominator of l and j.
84
Suppose o - 27 + 13 = 0. What is the lowest common multiple of o and 77?
154
Let k = -31 + 45. Let i(d) = -2 - 1 - 5 - 11*d + 4. Calculate the lowest common multiple of i(-2) and k.
126
Suppose 8*d - 1010 = -234. Let i = d + -43. What is the smallest common multiple of i and 6?
54
Let j = 5 - 3. Let b = -316 + 320. Calculate the lowest common multiple of j and b.
4
Suppose -2*u - 6 = 0, -3*a + 582 = 2*a - 4*u. Calculate the smallest common multiple of 18 and a.
342
Let x be ((-1)/(3 - 2))/3137. Let t = 454859/18822 - x. Let i = 403819/18 - 22427. Calculate the common denominator of t and i.
18
Let t = -74 - -107. Let w(u) = -4*u + 7. Let h be w(4). Let j = h - t. Calculate the common denominator of j and -4/5.
5
Suppose 2*d + s = -20, 3*d + s + 33 = 4. Let p(h) = -6*h - 27. Calculate the least common multiple of 30 and p(d).
270
Suppose 5*y - 108 = -y. Calculate the smallest common multiple of (2 - 4 - (-77)/7) + 0 and y.
18
Let v = -6 + 10. Let z be 0*(3 - (-2 - -4)). Suppose -r + 5 + 6 = z. What is the lowest common multiple of r and v?
44
Let d = -1237 - -1578. What is the least common multiple of 9 and d?
3069
Calculate the common denominator of -139/24 and 9*(-3)/9*(-254)/(-252).
168
What is the smallest common multiple of 1859/66 + 3/(-18) and 28?
28
Let y(q) = 0*q**2 + q**3 - q**2 + 1 - 11*q**3. What is the smallest common multiple of 1 and y(-1)?
10
Let p = -82 + 122. What is the common denominator of 26/15 and 194/(-60) - 8/p?
30
Let x = 20 + 28. Calculate the common denominator of (-10)/x*(8 + 714/(-60)) and -29/18.
144
Let i(y) = y**3 + y**2 + 10. Suppose p + 0 - 6 = 0. Suppose -u = -p*u. What is the lowest common multiple of i(u) and 16?
80
Suppose -z = -5*i - 37, -81 = -2*z - i + 4*i. Suppose 2*j - 12 = 4*f, 2*f + 8 = -2*f. Calculate the least common multiple of j and z.
42
Let r = 546 + -540. Calculate the least common multiple of 48 and r.
48
Calculate the lowest common multiple of 2 and (-72)/48 - 54/(-4).
12
Suppose 546*j - 533*j = 520. What is the smallest common multiple of j and 102?
2040
Suppose -7*k + 12*k + 105 = 0. Calculate the common denominator of 41/8 - 42/k and -5.
8
Let c(h) = 11*h + 6. What is the least common multiple of c(0) and 97?
582
Calculate the common denominator of (37/25)/((-60)/50) and 176/504*(13/2 - -1).
210
Let t = 6168 + -1110293/180. Find the common denominator of t and 49/120.
360
Let x be 1/(4/2)*6. Let t = -45 + 109. Suppose x*d = -d + t. What is the smallest common multiple of d and 22?
176
Suppose -3*x + 4*t - 66 = t, 0 = -t + 1. Let h = 30584/11 + -2783. Calculate the common denominator of h and 47/(-3) + (-7)/x.
33
Suppose -55*d + 51*d + 235 = 5*p, -5*d - p = -278. What is the least common multiple of d and 215?
2365
Let w = -2779 - -22183/8. Find the common denominator of (-6)/4 + (-372)/48 and w.
8
Let r(o) = o - 7. Let l be r(5). Let j = l + 8. Suppose 0 = 2*s - 5 + 15, 0 = t - 5*s - 33. What is the smallest common multiple of j and t?
24
Let t = -54984/5 + 10630. Let n = t - -371. Find the common denominator of n and 44/5.
5
Suppose 0 = 4*u - o - 36, 7*o - 11*o + 16 = 4*u. What is the smallest common multiple of 228 and u?
456
Suppose -11*d + 13*d - 570 = -5*i, -570 = -5*i - 3*d. Calculate the least common multiple of i and 304.
912
Calculate the smallest common multiple of ((-28)/21)/((-2)/60*1) and 176.
880
Let x(g) = -7*g + 4. Let p be x(-3). Let u = p - 14. Suppose -3*b = -2*t + 13, -7*t + 38 = -3*t - 2*b. Calculate the lowest common multiple of t and u.
11
Let v = -373 - -1829/5. Find the common denominator of v and ((-24)/(-27))/(2/(-24) + 0).
15
Suppose 5*p = 4 + 6. Suppose -3*a - 5*s = 7 + 22, 0 = p*a - s + 2. Let q(r) = r**2 - 3*r. Calculate the lowest common multiple of q(a) and 16.
144
Calculate the common denominator of 50/380*261/(-30) and -65/44.
836
What is the common denominator of (24/1190)/(81/567) and 1 + (-308)/(-24) - -2?
510
Suppose 29*t - 52*t = -598. Calculate the least common multiple of t and 18.
234
Let h(f) = -f**2 + 39*f - 261. Calculate the common denominator of h(9) and (51/(-4))/(-2 - 1).
4
Let o = 207 + 150. Calculate the smallest common multiple of o and 2.
714
What is the common denominator of 2/(-30)*4*50 and 204/(-272)*(-206)/27?
18
Let w = -175289/18070 + 1/1807. What is the common denominator of (11/(-162))/((-3 - -6)/(-45)) and w?
270
Let j(u) = -8 - u**2 + 0*u - 10*u - 2 + u. What is the smallest common multiple of 4 - (6 + -3 - 1) and j(-5)?
10
Let q be ((-2)/1)/(-5*(-4)/10). What is th