 h = 3535 + f. Find the common denominator of -19/4 and h.
8
Let y = 229 + -208. What is the smallest common multiple of 7 and y?
21
What is the common denominator of (91 - 93)*((-903)/(-36))/7 and 2/(-36)*(-134)/(-3)?
54
Let q = 115 + -114. Suppose 0*p + 27 = 4*n + 3*p, p - 15 = -2*n. What is the lowest common multiple of q and n?
9
Suppose -5*h - 90 = -5*j, 2*h = -4 - 2. Calculate the least common multiple of j and 276.
1380
Suppose 5*v = -3*a - 2 - 7, 5*a + v - 7 = 0. Calculate the common denominator of (-1)/4 + (-98)/(-40) and 4/a - (-1560)/(-144).
30
Suppose 0 = 3*x - 6 - 0. Suppose 4*l - 152 = 4*z, x*z - 5*l = 3*z + 32. Suppose -2*i = -5*i + 108. Calculate the common denominator of z and i.
1
Let s(x) = x**2 + 19*x - 18. Let n be s(-20). Suppose 4 = n*l + o, 2*o + 0*o + 2 = l. What is the smallest common multiple of 6 and l?
6
Let q(o) = 2*o**3 - 4*o**2 + 3*o - 9. Let x(u) = -u**2 + 6*u + 19. Let s be x(8). Calculate the lowest common multiple of q(s) and 8.
72
Let w(g) = g. Let a be w(5). Let t(i) = i + 4. Suppose 0 = -2*f + m + 14, 14 = 5*f - 4*m - 18. Calculate the lowest common multiple of f and t(a).
72
Let n be -3*(-7 - -4)/(-1). Let i = n - -12. Suppose -i = -3*a + 9. Calculate the least common multiple of a and 4.
4
Let z be ((-6)/12)/(-2*(-3)/492). Let h = 43 + z. Calculate the lowest common multiple of ((-3)/2)/(4/(-48)) and h.
18
Let j be (-2)/(-13) + 38880/(-234). Find the common denominator of 37/40 and (-32)/(-16) + j/88.
440
What is the common denominator of -9/11 and (-1)/3*6*(-1212)/(-624)?
286
Let g = 25 - 61. Let z be (g/15)/(2/(-5)). Find the common denominator of 117/z*(-28)/(-24) and 73/32.
32
Let k = 3715/408 + 133/136. What is the common denominator of -29/255 and k?
1020
Suppose 2569 = 3*x - 1493. Let d = 2779/2 - x. Calculate the common denominator of d and -16/7.
14
Let f(k) = -k**2 - 5*k + 7. Let y(d) = 1. Let c(s) = -s + 6. Let o(r) = c(r) - 2*y(r). Let x be o(9). Calculate the lowest common multiple of 11 and f(x).
77
Let r(s) = -2*s**2 + 9*s - 7. Let x be r(6). Let j = x - -36. Let b = -2 + 9. Calculate the lowest common multiple of b and j.
77
Suppose -4*x = 5*q + 140, 3*x - 25 = -2*x. Let g = 3200 - 12707/4. What is the common denominator of -4 - (516/q + 3) and g?
8
Let b = -2/10615 - -108277/21230. What is the common denominator of ((-2)/(-188))/(1*(-1)/58) and b?
470
What is the lowest common multiple of 7 and (36/(-63))/((-2)/(-14)) - -144?
140
Let j(m) = -m + 2. Let o be j(2). Suppose -2*a + 4*x = 3*a - 94, 2*a + 4*x - 32 = o. Calculate the common denominator of 21/16 and (-9)/a + 50/3.
48
What is the smallest common multiple of 9 and 9*-50*11/(-22)?
225
Let g be (-215)/2*(-1)/(-15). Let f = -19/3 + g. What is the common denominator of f and 781/(-165) + 1/3?
10
Let w = 242111/22 + -11003. Calculate the common denominator of -83/20 and w.
220
Suppose 48 = 14*y - 792. What is the lowest common multiple of ((-10)/6)/((-2)/12) and y?
60
Suppose 4 = 5*x + 2*j - 2, -8 = -x + 3*j. Let b = 66/29 + -1881/406. Calculate the common denominator of (194/(-16))/(1/x*5) and b.
140
Let d(u) = u**3 - 16*u**2 + 31*u - 6. What is the lowest common multiple of d(14) and 12?
36
Let q = 1685362/9 + -193730. Let h = 12945/2 + q. Find the common denominator of 5 + (-15582)/1404 + (-16)/(-104) and h.
18
Find the common denominator of 21/2 and (0 - (-3)/(-3018))*(80 + -39).
1006
Let c be 4/(-3) + -3 + (-2542)/195. Let p = 20371 + -264963/13. Let d = c - p. Calculate the common denominator of d and 32/7.
35
Let f(y) = 3*y + 4 + 3 - 4. Let d be f(-2). What is the least common multiple of 9 and -2 - -9 - (-6 - d)?
90
Let a = -2 + 6. Let n(l) = -l**3 - l**2 + 2*l + 2. Let w be n(-2). What is the least common multiple of 4 and (a/8)/(w/28)?
28
Let j = 80/39 + -479/468. Calculate the common denominator of j and -91/68.
612
Let w(l) = -38*l + 400. Calculate the smallest common multiple of 84 and w(10).
420
Let o = 25827 + -37815. Let c = o + 263781/22. Find the common denominator of c and -69/26.
286
Suppose 4*g = -i + 41, -100 = -5*i - 0*i + g. Calculate the lowest common multiple of 33 and i.
231
Suppose 6 = 2*w + 2. Suppose o + 2*b - 23 = 9, 4*o + 4*b = 120. Calculate the common denominator of -46/11 and (-1)/o*46 + w.
154
Let y be ((-2)/(-1))/((-25)/(-2450)). Suppose 24*k = 10*k + y. Calculate the smallest common multiple of k and 4.
28
Let h be (1522/4 + -3)/(18/(-821)). Let z = h + 17216. Calculate the common denominator of z and 15/8.
72
Let p be (-3)/(2/130*-1). Suppose -6*y - 6*y = 12. Calculate the common denominator of p/(-6) - y - -1 and 89/22.
22
What is the common denominator of -157/30 and 126/1323 + 316/945?
270
Let r = 274923/20 - 13741. Let s = -81 - -51. What is the common denominator of ((-1)/(s/(-4)))/((-16)/(-3020)) and r?
60
What is the common denominator of -115/156 and ((-670)/(-100))/((-585)/25)?
468
Let v = -29645 - -1482319/50. Find the common denominator of 99/320 and v.
1600
Let d = -26 + 16. Let x(g) be the second derivative of g**4/12 + 4*g**3/3 - 5*g**2 + 72*g. Calculate the smallest common multiple of x(d) and 16.
80
Let n(b) = 3*b - 4. Let k be n(-6). Let p = -13/60 - -533/60. Find the common denominator of p and (10/k)/((-10)/20).
33
Let w(j) = -6*j - 28. Calculate the smallest common multiple of 910 and w(-8).
1820
Let z = -2560 - -30749/12. Let u = -16080469/1867 + 8613. Let c = u - -46659/14936. Calculate the common denominator of c and z.
24
Let o = -23415350/991 + 23628. Let b be (-234843)/(-6)*3/5946. Let y = b - o. What is the common denominator of y and 17/10?
20
Let h = 18 + -10. Calculate the common denominator of -101/6 and 1 + -5 + 228/h.
6
Let k(i) = i**3 - 12*i**2 + 11*i + 14. Let u be k(11). Let x be (u/(-21))/(1/3). Calculate the common denominator of 2144/(-252) + x/(-9) and -109/10.
70
Let d be 189/(-24) - (-2)/(-16). Let l(v) = 2*v**2 + 5*v - 16. Let a be l(d). Suppose p + 3*p = a. Calculate the least common multiple of 10 and p.
90
Let l be (6 - 1) + (-10 - -10). Let z = 10 - l. Let y = z + 3. What is the least common multiple of y and 7?
56
Calculate the least common multiple of 8 and ((-350)/(-49) - 4)*7.
88
Suppose -780 = 499*j - 505*j. What is the lowest common multiple of 26 and j?
130
Let j be ((-12)/(-7))/(12/168). Suppose j*x = 32*x - 144. Let t(c) = -2*c - 8. What is the least common multiple of x and t(-6)?
36
Suppose -6 + 16 = 2*q. What is the common denominator of (-189)/9 - 2783/(-138) and (-58)/q - (-1 + 1)?
30
What is the common denominator of 3 + (-351)/(-77) + -7 and -16/21?
231
Suppose 8 = -j + 5*h, 5*j = -0*j - 4*h + 76. Suppose 2*x - 126 = -7*x. What is the least common multiple of j and x?
84
What is the lowest common multiple of (-184)/(-20) + (-3)/15 and 25/(25/36)*1/2?
18
Let o = 42 + -39. Suppose -3*v = o*j - 45, 0 = -3*j + j - v + 33. Suppose 2*i - 56 = -f - 2*f, i - j = f. Calculate the smallest common multiple of 10 and i.
110
Let l = -14 - -16. Let m = -28239/14 - -2018. What is the common denominator of 2 + (-164)/16 + l and m?
28
Let c = 14413/6 + -2394. Let b = c - 113/3. Calculate the common denominator of -1 + (-79)/12 - 1 and b.
12
Let n(k) = k**2 - 7*k + 2. Suppose 3*l - y - 39 = 29, 0 = -2*l + 2*y + 44. Let z = l + -14. What is the smallest common multiple of n(z) and 20?
20
Suppose d - 141 = -c + 20, 2*c - 162 = -d. What is the smallest common multiple of 100 and d?
800
Suppose -21*x + 36 + 174 = 0. What is the lowest common multiple of 494 and x?
2470
Suppose -46 - 175 = -17*b. What is the smallest common multiple of b and 7?
91
Let q = 1878 - 1873. Calculate the lowest common multiple of q and 124.
620
Let o = 2349 + -51731/22. Suppose 0 = i - 2*p - 8307, 3*i - 2*p = -p + 24941. Let s = 182973/22 - i. Find the common denominator of s and o.
22
Find the common denominator of 86/430 + (-206)/(-720) and 1/48.
144
Let i = 18 - 12. Suppose 0 = 2*a + 2*t + i, 0*a = 4*a + 3*t + 8. Calculate the smallest common multiple of a and 204/(-85)*(-15)/6.
6
Let n = 9304/133 + 1689686/1197. Let l = -265573/180 + n. Let f = 1166 + -4579/4. Find the common denominator of f and l.
20
Let k = 2 - 6. Let u = k - -10. What is the least common multiple of 5 and u?
30
Let b be 6/18 - 12938/6. Let j = b + 10821/5. What is the common denominator of j and 3/4?