76.
380
Let x = -21237 + 424651/20. What is the common denominator of x and -21/104?
520
Suppose 0 = 6*y - 61 - 59. Calculate the least common multiple of 372 and y.
1860
Suppose 0 = -3*r + 126. Suppose -53*v = 27*v - 640. What is the least common multiple of v and r?
168
Let z be (237/(-6) - -6)/(2/(-16)). Suppose i + z = 283. What is the smallest common multiple of 9 and i?
45
Suppose 3*p + 4*n - 46269 = 0, -n + 0*n = -3*p + 46269. Let h = p + -277525/18. Find the common denominator of -119/40 and h.
360
Suppose -26 - 54 = -5*l + 4*o, 80 = 5*l - 5*o. What is the lowest common multiple of l and 120?
240
Suppose -f - 76 = -4*m, -7*m + 112 = -2*m + 3*f. What is the smallest common multiple of m and 632?
3160
Let k = 360/29 + -6901/348. Find the common denominator of 37/628 and k.
1884
Let f(b) = 7*b - 45. Calculate the lowest common multiple of 3 and f(9).
18
Let d = -1715/99 + 154/9. What is the common denominator of d and 778/(-330) - ((-30)/25)/2?
33
Let w(s) = -2*s**2 - 17*s - 12. Let d be w(-11). Let u = d - -151. Calculate the lowest common multiple of u and 11.
924
Let o = 8 - 8. Suppose o = -2*b + b + 18. Calculate the lowest common multiple of b and 8.
72
Let d be 8/14 + (-1406913)/(-189). Let z = d - 7437. Calculate the common denominator of z and 22/25.
225
Suppose p - 2*p - 43 = 5*r, 0 = -p - 4*r - 44. Calculate the common denominator of -121/10 and -2 + (-3 - 14/p*-26).
60
Let s = -392127/28 - -14008. Find the common denominator of -11/36 and s.
252
Let i(u) = -u**3 - 8*u**2 + 4*u + 9. Let t be i(-7). Find the common denominator of t/6*30/56 and 21/21 + 4 + (-113)/(-6).
42
Let g(o) be the third derivative of o**6/15 + o**5/60 - o**3/6 - 3*o**2. What is the least common multiple of 10 - ((-22)/10 + 15/75) and g(1)?
24
Suppose 2*l = -9 + 13. Let n(t) = 10*t + 1. Let p be n(-2). Let a = p + 29. Calculate the smallest common multiple of l and a.
10
Suppose 5*i + 5*n = 25, -5*i + 5*n - 9*n = -26. What is the least common multiple of 688/18 - (-6)/(-27) and i?
114
Let w be 12/(-30) - (-1)/(45/(-1522)). Let u = w + 1723/45. Find the common denominator of -26 and u.
15
Calculate the least common multiple of 12 + -6 + 6 + -2 + -2 and 405.
3240
Let y(s) = -s**3 + 8*s**2 - 12*s + 1. Let x be (-3)/4 + 50/(-8). Let z = x - -25. What is the lowest common multiple of y(5) and z?
144
Suppose 0 = 6*y - 8*y - 4. Suppose -2*f + 3 = -9. What is the least common multiple of f and 16 - (0/y - -2)?
42
Suppose -10 = b - 37. Calculate the smallest common multiple of 12 and b.
108
Let n = 15707/2 - 7603. Let l = n + -1541/6. Find the common denominator of ((-58)/(-3))/(20/(-9)) and l.
30
Let t(x) = x**3 + 3*x**2 - 6*x - 5. Calculate the lowest common multiple of 150 and t(-4).
150
Let n(r) = -r**3 + 4*r**2 + 1. Let z(f) = 7*f**2 - 3*f + 2. What is the lowest common multiple of n(3) and z(1)?
30
Calculate the smallest common multiple of 9 and (-103)/(-8) - (30/(-48))/5.
117
Let n = -4767217357/522 - -9132597. Let g be (36/(-232))/((-3)/52). Let l = n + g. Find the common denominator of l and -87/2.
18
Suppose 3*d - 21 = -2*b + 26, -d = -5*b + 160. What is the lowest common multiple of b and 11?
341
Let o(p) = 94*p**2 + 128*p - 528. What is the least common multiple of 22 and o(4)?
16368
Suppose -2*y - 2*y - 986 = 3*f, 5*y = 5*f + 1655. Let o = f - -1985/6. What is the common denominator of o and (-1 + (-995)/15)/(-5 - -1)?
6
Let g = -1985 + 1123. Let c = g + 6885/8. Let v = 529/2 + -280. Find the common denominator of v and c.
8
Let k be 4 - 2/(12/30). What is the lowest common multiple of 12 and (3 - k*12) + -3?
12
Let g(y) = 5*y + 19. Let c be g(-3). What is the common denominator of (c + 0)*3*(-55)/150 and -2 + (-5)/4*-13?
20
Suppose -603 - 507 = -3*g. What is the common denominator of (-9)/(-84)*g/5 and -1/28?
28
What is the least common multiple of 30 and 3 - (-4 - 83)*(11 - 8)?
1320
Let m = -1/3076 - 41519/21532. What is the common denominator of (-480)/(-135) - (-8)/(-40)*5 and m?
126
Suppose 4*p = x - 10, 0 = 2*p + 6 - 2. Let i be (-4)/x*(-27)/6. Let n(z) = z**2 - 9*z + 10. What is the lowest common multiple of n(i) and 10?
10
Suppose 4*y = -3*o + 2 + 22, 3*y + o - 18 = 0. What is the lowest common multiple of 66 and y?
66
Let p = 5 - -109. Find the common denominator of p/40 + (-3)/(-12) and -65/9.
90
Suppose 1890 = -5*w + 35*w. Calculate the smallest common multiple of 54 and w.
378
Let f = -11/45 + 491/720. Calculate the common denominator of 207/(-6)*3/(-63) and f.
112
Let m = 14/531 + -1283/177. Find the common denominator of m and -29/70.
630
Let w = -46679333/192 + 243121. Calculate the common denominator of w and -149/48.
192
Let z be (1 + 7/(-4))*-8. Let o be 3*z/4*-82. Let j = -1443/4 - o. Find the common denominator of 149/6 and j.
12
What is the smallest common multiple of 12 and (-2 - -7)*666/185?
36
Suppose 17*p = 4*p + 208. Suppose 10 = -6*m + p. Calculate the least common multiple of m and (3/(-9))/(2/(-6)).
1
Let t be -1 + 0 + (-3 - 2). Let i = -4 - t. What is the least common multiple of i and ((-4)/(-3))/((-14)/(-147))?
14
Suppose -8648 = -15*s - 113. What is the lowest common multiple of s and 1?
569
Let w be 8/(-28) + 5006/1008. Let t = w + -5/9. Find the common denominator of 3 + (-33)/(-6) - (0 + 2) and t.
8
Let n(m) = m**3 + 9*m**2 + 5*m + 13. Let g be n(-9). Let b = -80 - -84. Calculate the least common multiple of -3*5/(30/g) and b.
16
Suppose i = -a + 10, 8*a = 4*a + 2*i + 16. Calculate the least common multiple of 115 and a.
690
Let t be 30/50 - 22532/(-30). Let z = -735 + t. What is the common denominator of z and -51/11?
33
Let l = 2371 + -23827/10. What is the common denominator of 61*(2 + -4)/(-12) and l?
30
Suppose -y = -44 - 38. Let t = y + -64. Calculate the lowest common multiple of t and 3.
18
Let a be -4*1/(-4)*-10. Let f(c) = -26*c**3. Let j be f(1). Let q = a - j. What is the least common multiple of 22 and q?
176
Let c(i) = -i**2 + 16*i - 12. Let d be c(6). Suppose 4*t + 5*g - 30 = 0, g + 21 = -5*t + d. Calculate the smallest common multiple of t and 7.
35
Suppose m = 5*m - 4. What is the lowest common multiple of m and 128?
128
Let q be (2*-4 - 3)/(-1). Let f be 9/6*-2 - -1. Let l = q + f. Calculate the lowest common multiple of l and 6.
18
Let q = 18324557/110 - 166588. What is the common denominator of -2/45 and q?
990
Let b(p) = -2*p**3 - 15*p**2 + 8*p + 6. Calculate the lowest common multiple of b(-8) and 4.
12
Suppose -f + 3*t = -93, -3*f + 3*t + 32 = -277. What is the lowest common multiple of f and 24?
216
What is the least common multiple of (-14058)/(-234) - 3/39 and 20?
60
What is the common denominator of (36/(-64))/(3/2) and 39/(-13)*96/99 - -5?
88
Find the common denominator of 53/8 and 564/81*((-524)/(-128) + -4).
72
Let t = -894/7 - -18713/140. Let q = -355/294 - -2/49. What is the common denominator of t and q?
60
Suppose 3*x = x + 8. Suppose q - 2*a - 8 = 0, -a = -q - x*a + 18. Suppose -4*w - 25 + 65 = 0. Calculate the least common multiple of q and w.
60
What is the common denominator of ((-3)/9)/(2/29) and -59/376?
1128
Let w(v) = -v - 8. Let z be w(-7). Let g be (z - -1)*(-7)/14. Let q = g + 6. Calculate the smallest common multiple of 4 and q.
12
Let u(d) = 22*d + 137. Calculate the least common multiple of 2 and u(-6).
10
Let l(j) = 9*j**2 + 9*j - 6. Calculate the smallest common multiple of l(1) and 30.
60
Let n = 33 + -29. Let b = -6 - -12. Calculate the least common multiple of (b/(-5))/((-3)/10) and n.
4
Let z(u) be the first derivative of -u**4/2 + 4*u**3 + u**2 + 7*u - 13. Calculate the smallest common multiple of z(6) and 1.
19
Let o = 5/154 + 7737/1232. Suppose -30 = -3*p + 5*p. Find the common denominator of o and 5/20 - (-39)/p.
80
Let c(j) = -j**2 - 11*j. Let l(o) = 119*o**3 - o**2 + 4*o - 4. Calculate the smallest common multiple of c(-10) and l(1).
590
What is the common denominator of -54/5 and -7 + (-920)/(-255) + 3?
255
Suppose 5*v - 5*m - 85 = 0, v - 4*m + 32 = 2*v. What is the lowest common multiple of 8 and (1 - 14/v)*5*4?
24
Let z = 9228 + -92383/10. Calculate the common denominator of z and 143/54.
270
Suppose 59*f - 82 = 57*f. Let r = f + -23. Let n(p) = 10*p + 2. Calculate the least common multiple of r and n(2).
198
Suppose 2 = k - 0. Let b be (-96)/(-20) - 4