1560
Let i = 2019269/188249826 - 8/48493. Calculate the common denominator of i and -67/4.
7764
Let b(r) = -r**3 + 6*r**2 + 5*r + 16. Let f be b(7). Let j(a) = -13*a - 10. Let x be j(f). Let t = -28 - x. Calculate the lowest common multiple of 5 and t.
40
Suppose 2*g = k - 2 - 28, 0 = -4*k - 3*g + 175. Calculate the common denominator of -25/26 and (-335)/(-16)*16/k + 4.
104
Let l(t) = -48*t**2 + 38*t - 42 + t**3 - 26*t + 33*t + 74*t**2. What is the least common multiple of 117 and l(-24)?
1170
Let i(v) = -2*v + 42. Let y be i(-9). Suppose 23*r - y - 32 = 0. What is the lowest common multiple of 478 and r?
956
Let j(k) = -45*k + 3093. What is the smallest common multiple of 3765 and j(68)?
41415
Let x = 3339804361/13111 - 254733. Let l = x + 1271787/131110. Calculate the common denominator of l and 14/8*17/(357/318).
10
Let u = -77581/30 + 2584. Let c be 1/(-684)*807372/24. Let g = -1016/19 - c. Find the common denominator of g and u.
120
Let c be 32020/(-2300) + (-3)/5. Let n = c - -5203/230. What is the common denominator of n and 89/8?
40
Let f(i) = 7*i + 48. Let y be f(-6). Let k(p) = 4*p - 10 - p + y*p**2 + 0*p**2 + 0*p. What is the smallest common multiple of 4 and k(2)?
20
Calculate the common denominator of -109/132 and (1040/169)/(-40) + 515/1404 + 0.
1188
Let g(f) = -f**3 - 5*f**2 + 16*f + 17. Let k be g(-7). Suppose 2*x + k = -3*i - 3, 2*x - 3*i = -6. What is the least common multiple of (7 + x)*4/24*21 and 20?
140
Let f = 96 - 94. Let z(c) = 4*c**2 + 5*c - 4. Calculate the least common multiple of z(f) and 28.
308
Let q = 11841/8 - 1478. Let z = -861909/41 - -21024. Let j = z + -2719/164. What is the common denominator of j and q?
8
Suppose -7 + 13 = -3*j. Let k be 33/3 + 0/j. Calculate the common denominator of -73/28 and 1/2*(-39)/k.
308
Let k be 289/68 + 1/(-4). Suppose 80 = 5*h - k*p, h + 4*h - 65 = p. Let u(m) = 7*m**2 - 5*m - 2. Calculate the least common multiple of h and u(2).
48
Let n = 228/37 + -9495/1739. What is the common denominator of (6/(-45))/(16/(-6)*513/(-33060)) and n?
423
Calculate the smallest common multiple of (-1 - 0)/((-2)/6)*19 and 3401.
10203
Suppose 4*f - 3*d - 5 = 0, -4*d = 3*f - 2*f - 25. Suppose f*p + 0*v - 4*v = 57, 73 = 5*p + 4*v. What is the lowest common multiple of p and 8?
104
Let y = -4746 + 24056/5. Let j = -849/20 + y. Find the common denominator of j and 139/12.
12
Let t = -15 + 19. Suppose 3*j + 2*j + 29 = -4*m, 4*m + t*j + 28 = 0. Find the common denominator of 4*(98/12 + (-2)/m) and 49/10.
10
Let h = -771 - -775. Calculate the common denominator of 89/20 and ((-16)/14)/h + (-248)/560.
140
Suppose -439 - 581 = -12*t. What is the least common multiple of 357 and t?
1785
Let v = -305284111/574 + 531854. What is the common denominator of -83/656 and v?
4592
What is the common denominator of 21 + 19524778/(-934920) + (-2)/18 and -69/10?
7420
Let k be ((-14)/276)/(15/(-60)). Let h = 655/2208 - k. Calculate the common denominator of -41/18 and h.
288
Let s(a) = 11*a**3 - 9*a**2 - 7*a + 25. Let d be s(-5). Find the common denominator of -89/8 and (1/(-4))/(-226*(-5)/d).
904
Let f = 242853/4 - 25742321/424. Calculate the common denominator of f and -143/318.
1272
Let n = 1706 - 1694. Suppose 5*k = -0*k - t + 52, -37 = -2*k + 5*t. Suppose 1 = 2*v - k. What is the lowest common multiple of n and v?
12
Find the common denominator of (2 - (-200)/(-102))/(285*2/(-558)) and 97/30.
9690
Let k = 4411/9 + -488. Find the common denominator of (-4)/(-5)*5405/(-25944) and k.
18
Suppose 11*r - 295212 = 8*r. Let m be r/(-104)*(-7)/(-644). Let h = m + -27/299. What is the common denominator of 101/18 and h?
72
Let b(o) = -121*o + 1. Let s be b(3). What is the common denominator of -53/3 and 4 + s/51 - (1 - 3)?
51
Let r be (-294 - 9) + 3 + 6. Suppose -3*u + y + 26 = -2*u, 0 = 4*u + 2*y - 80. Calculate the smallest common multiple of (-12)/(-7)*(r/4)/(-21) and u.
66
Suppose -20*a + 25*a - 5*j - 620 = 0, 5*j - 148 = -a. Calculate the lowest common multiple of 64 and a.
128
Let z = -146228/101007 + -2/3483. Find the common denominator of 286/(-495)*5*(3 + -2) and z.
261
Find the common denominator of (-3)/(-3)*40 + -3 and (-148)/26 - (24 - 9)/45*-9.
13
Let j = 1062/13 + -8188/91. Let o = 17614 + -1056821/60. Calculate the common denominator of j and o.
420
Let a = 71881229/605 + -118812. Find the common denominator of -56/605 and a.
605
Suppose -271*p = -136*p - 3240. Calculate the lowest common multiple of p and 645.
5160
Suppose c - 5*l + 20 = 0, 5*l + 1 = 2*c + 16. Find the common denominator of 79/10 and (2/c)/(417/(-81) + 5).
10
Suppose -3*x = 3*y - 12, 2*x + y - 14 + 1 = 0. What is the smallest common multiple of (-22)/8*(2 + -126) and x?
3069
Let i = 9203 - 9187. What is the smallest common multiple of 1117 and i?
17872
Let f = 6303 - 6267. Calculate the smallest common multiple of 736 and f.
6624
Let b = -133 + 148. Suppose 21*x + b = 267. Suppose -2*s - 5*r = -15, s + r - 9 = -0*r. Calculate the lowest common multiple of s and x.
60
Let d(n) = n**2 + 5*n - 6. Let j be d(-5). Let o = 15 + j. Suppose 2*a - 15 = o. Calculate the lowest common multiple of a and 2.
12
Let h be 3 + 146 + (-2 + 1)*1. Let v = 163 - h. Calculate the least common multiple of v and 7.
105
Suppose -z - 10 + 0 = -n, -3*z - 5*n = 46. Let v = 39 - z. Let x = 58 - v. Calculate the least common multiple of 7 and x.
7
Let v be (3 - -45)/8 - -27. Suppose -2*i - 5*k + 3 = 0, k - v = -3*i - i. Let h(x) = -x**3 - 6*x**2 - 4*x. What is the lowest common multiple of i and h(-6)?
72
Let n be 2/6*-1 + 11350/(-150). Let f = n - -83. Suppose 6 = -f*o + 8*o. What is the smallest common multiple of 2 and o?
6
Let z be -4 + (-20404)/(-104)*-2. Let p = 310883/780 + z. What is the common denominator of 75/66 + 51/34 and p?
660
Suppose -8 + 13 = -5*m. Calculate the smallest common multiple of (-4)/(-14) - (-1946)/49 and (-328)/(-32) - m/(-4).
40
Let p = -5160 + 5296. What is the least common multiple of 374 and p?
1496
Let o = -47 + 62. Suppose 3*y + 4*i - 21 = 0, -2*y - 5*i + o = -2*i. What is the common denominator of -83/2 and (-6*y/(-24))/(66/(-59))?
88
Let s(w) = -7*w - 46. Let k be s(-7). Suppose -k*h + 117 = 10*h. Calculate the smallest common multiple of ((-48)/h)/(2/(-3)) and 36.
72
Let o(v) = -39*v**3 + v**2 - 5*v + 3. Let s be o(1). What is the common denominator of s/15*(2 - 4)/4 and -169/30?
30
Suppose 66 + 11 = 7*t. Suppose -k + t = 5*m, 3*k - 13 = -0*k + 5*m. Suppose k = 4*r - r. What is the lowest common multiple of r and 22?
22
What is the lowest common multiple of 1746 and 4256/2 - (2 + 126/(-9) + 6)?
19206
Let f(z) = -z**3 - 17*z**2 + 13*z + 20. Calculate the least common multiple of f(-18) and 220.
220
Let j = -181 - -181. Calculate the least common multiple of j + 12/66 - 185/(-11) and 2.
34
Let z = 561194 - 3375095/6. Let y = z - -1318. Let r = 1167 - 3464/3. Calculate the common denominator of r and y.
6
Let v(k) = 8*k**2 - 374*k - 31. Calculate the lowest common multiple of v(47) and 306.
2142
Let k(v) = 70*v**2 + 117*v + 621. Calculate the smallest common multiple of k(-5) and 470.
8930
Suppose -318*j = -260 - 141 - 235. Calculate the lowest common multiple of 3634 and j.
3634
Let f = 23503/7 + -3364. Let d be 843/8*(-5)/(10 - -605). Let w = -3/164 + d. Calculate the common denominator of w and f.
56
Let b = -182072/71 + 2564. What is the common denominator of b and -69/4?
284
Let j be (1262176/8)/(4/(8/55)). Let l = j - 5736. Find the common denominator of l and 64/55.
55
Let g = -652 + 920. Suppose 3*m - 4*q = -q + 204, 2*q = 4*m - g. Let r = -2 - -3. Calculate the lowest common multiple of r and m.
66
Calculate the common denominator of -83/12 and (-23597)/(-75852) + 0/1 - 2/9.
3612
Let w(o) = -o**3 - 5*o**2 - 4*o + 16. Let v be w(-6). Let p = 86 - v. Calculate the common denominator of (91/(-504))/((-3)/p) and 121/12.
108
Calculate the common denominator of 49/1177 and (4070/(-352) + 7)/((-2)/(-8)).
4708
Suppose -304 = -k - 8. Suppose -b + 0*z = z - 98, 3*b - k = -z. Calculate the least common multiple of b/12 - 3/(-4) and 20.
180
Let z(c) = 26*c**2 - 10*c. Let x(p) = 39*p**2 - 15*p. Let d(v) = 5*x(v) - 7*z(v). Let j be d(2). What is the lowest common multiple of 4 and (14 + 1)/(j/56)?
20
Suppose -149*b + 93*b = -5040. Wha