. Suppose 0*n + 12 = n. Calculate the least common multiple of n and g.
120
Let h(c) = -c**2 - 42*c + 360. What is the smallest common multiple of 110 and h(-46)?
880
Let w(s) = -4*s**2 + 3*s + 147. Let z be w(19). Let g = z - -2425/2. What is the common denominator of g and -71/202?
202
Calculate the least common multiple of ((-20)/65)/(55/(-715)) and 374.
748
Let w = 3068 - -2627. Let x be 2/7 + 1196171/(-210). Let l = w + x. Calculate the common denominator of 16/3 and l.
30
Let h = -28619 + 1831703/64. Let r = 12/893 + -12377/57152. What is the common denominator of h and r?
64
Let s = -1719378 + 4525402977/2632. What is the common denominator of 73/40 and s?
13160
Let x be (1 + 9)*-23*2/(-434). Let u = 2171/10850 + x. What is the common denominator of 9/110 and u?
550
Let g = 2/36993 + -3070451/591888. Let p = -14410/23 - -59917/92. Calculate the common denominator of p and g.
16
Calculate the common denominator of (((-84)/(-8))/(-7))/(120/(-44)) and ((-12)/(-8))/((-3)/(-5)).
20
Suppose -k + 18 = -4*c, 11 = -5*k + 3*c + 101. Suppose -2*s - k = s. Calculate the common denominator of -1 + ((-41)/s - 1) and -123/10.
30
Let q = -10754 + 29725. Let v = q + -948511/50. Find the common denominator of -94/15 and v.
150
Let x(g) = g**3 - 10*g**2 - 6*g + 143. Let m be x(9). Suppose 4*r = m, -w + 32 = w + r. What is the least common multiple of w and 6?
30
Let o be -1*(-2 + 3) - 125. Let m = -120 - o. Suppose 0 = m*t + 6*t - 324. Calculate the smallest common multiple of 27 and t.
27
Let y = -89528 + 89543. What is the smallest common multiple of ((-2)/4)/((-2)/36) and y?
45
Let p be 5*9/(-105) + 66/7. Let n(k) = k**2 + 2. What is the smallest common multiple of 12/p*(-243)/(-18) and n(5)?
54
Suppose -f - 6 = -v, -4 + 25 = 5*v - 2*f. Suppose -5 + v = o. Find the common denominator of (-1162)/(-180) + o/(-20)*-4 and 47/3.
18
Let q = -4926 + 24671/5. Calculate the common denominator of q and -2/57.
285
Let y = -25085 - -59591. What is the common denominator of -3 + -1 - y/(-8640) and 63/22?
1760
Let x be -5*(3402/30)/3. What is the lowest common multiple of 4/(24/x)*84/(-49) and 48?
432
Suppose 3*w + x - 15 = -0*x, -3*w + 15 = 5*x. Suppose -198 = -2*k - d + 3*d, 497 = w*k - 3*d. What is the common denominator of k/297 - 2/(-11) and 5/12?
108
Suppose 26*q - 7*q - 2280 = 0. Let u(z) = -z**3 - 41*z**2 - 180*z + 48. What is the lowest common multiple of q and u(-36)?
240
Let t be ((-58)/(-20735))/((-4)/4765). Let y = t + 32/11. What is the common denominator of 37/20 and y?
260
Let f(p) = p**2 - 200*p + 7051. What is the least common multiple of 18 and f(167)?
13860
Let z = 3716 + -18518/5. Suppose 4*x + 4*u + 7524 = -0*u, -3*x + 3*u - 5625 = 0. Let r = x + 11225/6. What is the common denominator of r and z?
30
Let j(a) = -30*a - 198. Let o be (-3)/(53/106 - (-2)/(-10)). Calculate the smallest common multiple of j(o) and 51.
102
Let s = 1795 - 3565/2. Calculate the common denominator of s and (356/(-28))/((-1)/7*6).
6
Let s = -16790 + 50380/3. What is the common denominator of s and 101/12708?
12708
Let d = 1348/195 + -79/78. What is the common denominator of 61/82 and d?
410
Let a(v) = 6*v - 22. Let m be a(4). Let j be (298/4)/((-2)/(-16)*m). Find the common denominator of j/(-24) + 4/(17 - 1) and 97/28.
84
Let y = 2045/12 + -455/3. Suppose 2*i - 21618 = -646. Let n = 167697/16 - i. Find the common denominator of y and n.
16
Let k = 22/503 + 20359/6036. Calculate the common denominator of k and -169/1980.
1980
Let x = -12823 - -12853. Suppose 2*k - 9 - 3 = r, k + 16 = -5*r. Suppose -l - k*d = 0, 0 = 2*l - 6*l + d + 51. Calculate the least common multiple of l and x.
60
Let y = 6283189/38157 + -1/12719. Let w be 45/(-4)*(0 - -14). Let v = y + w. Find the common denominator of 37/21 and v.
42
Suppose 1278585 = -2*z + 11613299. Let p = z + -113606959/22. Let t = p + -3405. Find the common denominator of t and -119/12.
132
Calculate the common denominator of 27/200 and (8 + 4108/(-512))/((-1)/134*15).
1600
Suppose 0 = -4*d + 4*j - 1608, -966 - 1030 = 5*d + 2*j. Let n be 905/10*46/d. Let t = n - -218/25. What is the common denominator of t and 65/8?
16
Suppose 16*t = 13*t - 6. Let o be t/(10/47)*-5. Suppose -6*h = -227 + o. Calculate the least common multiple of 20 and h.
60
Let n(a) = -a**3 + 32*a**2 - 99*a - 612. Calculate the least common multiple of n(-6) and 216.
5400
Let t(w) = w**3 + 5*w**2 - 3*w + 3. Suppose 292*r - 296*r - k + 335 = 0, -4*r - 7*k = -329. Calculate the least common multiple of t(-5) and r.
252
Suppose 10*t + 0*t = 90. Let c(v) = -v**3 + 14*v**2 + 16*v - 12. What is the smallest common multiple of c(15) and t?
9
Calculate the lowest common multiple of -3*(-15)/((-540)/(-96)) and 1304.
1304
Calculate the lowest common multiple of 1497 and (3/4)/(((-20)/48)/((-85)/51)).
1497
What is the smallest common multiple of -2*7/4*((-1944)/63 - 0) and (-2)/2 - (-27 + 6)?
540
Let f(d) = -2*d**2 - 68*d - 518. What is the smallest common multiple of 9640 and f(-12)?
9640
Find the common denominator of -97/74 and (-1)/(-3) + 2 + 1424/(-192).
444
Suppose b - 132 = -2*p, b = -4*p + 58 + 80. What is the smallest common multiple of b and 378?
378
Let o(m) = 2*m**2 - 48*m + 118. Calculate the least common multiple of o(0) and 6.
354
Let g(a) = -144*a**3 + a**2 + 2*a + 2. Let u be g(-1). Let x = u - 59. What is the lowest common multiple of (-2)/10 + x/5 and 8?
136
Let t = 2739/5 + -30109/55. Find the common denominator of 1/1258 and t.
13838
Let c = 21 + 69. Suppose c = -4*p - s + 3*s, -3*p + s = 66. What is the common denominator of (-5)/(-40)*(p + -1) and -47/8?
8
Let g(d) = d**3 + 39*d**2 + 349*d - 78. Calculate the lowest common multiple of g(-16) and 42.
4746
Let h = -228074481931/2758 + 330782435/4. Let p = -27/394 - h. Calculate the common denominator of ((-209)/228)/(5/(-3)) and p.
140
Let q = 740481 + -12584037/17. Let r = -327604/1343 + q. Find the common denominator of -48 and r.
79
Let i = -48379/6 + 8045. Let p = 7069/11484 + -218/261. Find the common denominator of i and p.
132
Suppose -5*q + 1 = -4, q = -2*h + 425. Suppose j + g = -0*g + 2, 5*j + 4*g = 14. What is the lowest common multiple of h and 16/(-6)*(-4 - (-15)/j)?
212
Suppose 2*k + 171 = -5*p + 2*p, -k = 5*p + 278. Let h be ((-276)/32*2)/(2/8). Let s = p - h. Calculate the lowest common multiple of s and 6.
42
Find the common denominator of 10/(-48)*((-3)/(-3) - 3008/235) and (-1)/3*-17*1.
24
Let w(j) = 144*j**2 - 8*j - 14. Let c be w(-7). Let s = c - 149096/21. Find the common denominator of 22 + ((-12)/(-18) - 11/12) and s.
84
Find the common denominator of -24/209 and ((-2260)/(-17741))/((-1)/2).
32813
What is the common denominator of -25/19 and 82/(-68)*(-40)/1140?
969
Let q = -16 + 165. Suppose -8*j - 141 = -q. Calculate the lowest common multiple of j and 54.
54
Let v be (1 + 3)*(0 - 10/(-20)). What is the common denominator of (291/(-72)*v)/((-1)/2) and 114/16*(-16)/(-324)?
54
Let r be (-125)/((-5 + -1)/6). Suppose 131 = 3*b + r. What is the lowest common multiple of b and 52?
52
Suppose 9*c - 2*v - 52 = 14*c, -5*c = 3*v + 53. What is the lowest common multiple of 63 and 14 + (c - -4) + 13?
63
Let o(n) = n + 31. Let g be o(-27). Suppose g*h - 72 = 68. Calculate the smallest common multiple of 63 and h.
315
Suppose 0 = 4*a - 12*a + 176. Let n(d) = 3*d**2 - 17*d - 12. Suppose 3*f = b - 16, 5*b - 2*b = -3*f + 12. Calculate the lowest common multiple of n(b) and a.
176
Find the common denominator of (-5 - -6)*(-10010)/(-12090) and -68/555.
17205
Let n(k) = -k**2 - 15*k - 134. Let s(r) = 3*r**2 + 46*r + 403. Let q(d) = 17*n(d) + 6*s(d). Calculate the least common multiple of q(-12) and 40.
160
Let z(v) = -10*v + 0*v**2 + v**2 - 14*v + 10. Suppose 2*m + 3*n + 1 = 0, 4*n = -3*m - 0*n + 1. What is the smallest common multiple of z(24) and m?
70
Suppose 10 = m + 9. Suppose 0 = y + 18 + 27. Let o = -35 - y. What is the lowest common multiple of m and o?
10
Suppose 2*b - 30 = c, -13*b + 15*b + 42 = -c. Calculate the common denominator of -19/10 and 54/c - 129/18.
30
Suppose -783*m + 784*m - 5*j - 15 = 0, -j - 11 = -m. Calculate the smallest common multiple of m and 384.
1920
Suppose 7*g = 3*q + 2*g + 24, -4*g - 3 = 5*q. Calculate the lowest common multiple of 1*(-2)/q*(146 - 98) a