ppose -k = 7*u - 9*u - 1342, -2690 = -2*k + 5*u. What is the lowest common multiple of 1330 and k?
1330
What is the least common multiple of ((-1)/(2/4))/(507/(-2028)) and 2246?
8984
Let w = 899/24 - 443/12. Calculate the common denominator of -103/18 and w.
72
Suppose -3*r + 2*k - 994 = 0, 4*r + 1326 = 4*k - 2*k. Let w = -260 - r. What is the least common multiple of w and 24?
72
Suppose -77 = -13*u + 5357. Let o = u + -307. What is the least common multiple of 9 and o?
333
Let t = -3977 + 7055. Calculate the least common multiple of t and 30.
15390
Let p = 1399/36 - 370/9. Let r = -31351 - -2508037/80. Let m = 3/5 + r. Calculate the common denominator of p and m.
16
Suppose 4*a - 5 = -29. Let z be (a/4)/(48/(-2144)). Let h = z + -49. Calculate the smallest common multiple of 27 and h.
54
Let s(v) = 3*v**3 - 3*v**2 - v - 6. Let d be s(6). Find the common denominator of ((-7)/(-70))/((-1672)/220) and ((-54)/d)/(3/(-116)).
836
What is the common denominator of ((-39)/(-12))/(12/144*-18) and -41/1936?
5808
Let j = -4/903 + -5093/5418. What is the common denominator of j and -28/8565?
51390
Suppose -132*c - 13*c + 68005 = 0. What is the smallest common multiple of 67 and c?
469
Let y = 853557/3136616 + 1/39704. What is the common denominator of -145/18 and y?
1422
Suppose 3*z - 38 = h, -4*h + 37 = 5*z + 2. Suppose 2*f + q - 17 = 0, -2*q + 23 + 4 = 3*f. Calculate the smallest common multiple of z and f.
77
Let p(x) = 69*x + 531. What is the lowest common multiple of 314 and p(-7)?
7536
Calculate the smallest common multiple of 85 and 282/(-4)*(-332 + 322).
11985
Calculate the common denominator of ((8/56)/(-1))/((-12)/(-36)) and 18/685.
4795
Suppose -p - 1463 = -0*p. Let x = 8747/6 + p. What is the common denominator of x and 74/15?
30
Suppose 0*c = c - 13. Suppose 3 = t - 5*h, 0 = -4*t + 4*h - 1 + 29. Calculate the lowest common multiple of t and (7 + (-6 - -1))*c/2.
104
Let c(q) = -q**2 + 15*q - 14. Let h = -36 + 41. Let k be c(h). What is the common denominator of 10/30 + (0 - (-130)/k) and -79/21?
126
Let r be (16/3396)/((-4)/(-3)). Let n = r + 4805/1698. What is the common denominator of 14 and n?
6
Suppose 0 = -5*v - 3*k + 518, -3*v + 80 = -3*k - 202. Let x = 1 - -14. What is the lowest common multiple of x and v?
300
Let i(q) = -39*q - 8. Let d be i(-2). Suppose 164 = 3*w - d. What is the smallest common multiple of 16 and w?
624
What is the common denominator of 13*(-2)/2 + (-171654)/(-10318) and 53/2904?
2904
Suppose 0 = 4*n + 4 - 0, 5*p + 3*n = 62. Let u = 900 - 563. Suppose -13*v - u = -402. What is the smallest common multiple of v and p?
65
Let i = 1114336 + -2349020391/2108. Calculate the common denominator of 20/119 and i.
14756
Let c be (-3)/12 + 117/(-12). Calculate the smallest common multiple of (-15)/(-6)*(-12)/c and 10 + (-375)/35 + (-270)/(-35).
21
Find the common denominator of -5/22 and 2 - 63/54*296/77.
66
Let q(j) = j**3 - 4*j**2 - 2*j - 3. Suppose -2*p = -f - 12, 3*p + 4*f = -f + 5. Let n(b) = 137*b - 2458. What is the least common multiple of q(p) and n(18)?
24
Let j(p) = p**2 + 53*p - 408. What is the lowest common multiple of (-100)/(-3) - (-2)/(-6) and j(-60)?
132
Suppose -4*k - 18 = -88 - 150. Calculate the smallest common multiple of k and 1085.
11935
Let b = -6829 - -4295443/629. Let y be (-3)/54*-4 + (-229675)/(-28305). Let n = y - b. What is the common denominator of -95/6 and n?
6
Let p = -1349347/2544234 - -2/38549. What is the common denominator of p and 97/32?
1056
Suppose -5*c + 4*a = -28, 3*c + 4*a - a - 33 = 0. Let q be (-2)/c - (-1519)/6140. Let l = -121241/9210 + q. What is the common denominator of -44/9 and l?
18
Let o = -66613/15 + 4449. Let c = o - 701/120. What is the common denominator of c and 26/333?
2664
Let j = -3973 + 83458/21. Calculate the common denominator of j and -7/708.
4956
Calculate the lowest common multiple of 1659 and -24 + 47 + -19 - (-2 + 4).
3318
Suppose l - 24496 = -5454. Let g = l - 342629/18. Calculate the common denominator of g and ((-75)/80)/(9/2).
72
Let h(u) = -u**2 - 5*u + 4. Suppose -2*x - 2 = 2*o, -5*o + 0*x = 4*x + 9. Calculate the lowest common multiple of h(o) and 5.
20
Let y(s) be the first derivative of -2*s**2 - 6*s + 1. Suppose 8410*x = 8437*x - 1350. What is the lowest common multiple of x and y(-6)?
450
Suppose -a + n = 2*a + 709, -a - 245 = 4*n. Let z = 537 + a. What is the smallest common multiple of z and 50?
300
Let m = -7011/160 - -817/20. Calculate the common denominator of -117/340 and m.
2720
Suppose 5*d = -4*c - 4 - 92, -3*c - 72 = d. What is the smallest common multiple of 84 and (399/(-532))/(1/c + 0)?
252
Let p be ((-6 - -9)*1)/(3/(-86)). Let d = p + 87. Calculate the lowest common multiple of 3 and (-2 + d*18)*19/38.
24
Let j(x) = -x**2 - 9*x - 2. Let o be j(-7). Suppose o = 5*n + 7. Calculate the common denominator of 19/6 and (n/2)/((-30)/505).
12
Let g be (-12)/(-9)*-4*(-1081)/(-6). Let v = g + 761555/792. Find the common denominator of -3/20 and v.
440
Let f = 343889/20 + -17196. Let t = -3260151/8680 + 11630/31. Calculate the common denominator of t and f.
280
Let d be (-1)/(-12) + 47/12. Suppose d*z - 146 = p - 4*p, -p + 74 = 2*z. What is the least common multiple of 20 and z?
380
Suppose 5*a = -l - 15, 9*l - 5*l + 6 = -2*a. Find the common denominator of -97/52 and (l - 112/21)*(-6)/9.
468
Let i = -265 - -267. Find the common denominator of (-184)/(-230) - i/100 and 36/7.
350
Suppose 0 = -9*s + 4*s - 3*p + 125, 2*s - 4*p - 24 = 0. What is the lowest common multiple of 834 and s?
9174
Let k = 83 - 50. Suppose -59*a - 297 = -68*a. What is the lowest common multiple of a and k?
33
Let d = 160/29 - 1543/348. What is the common denominator of -47/30 and d?
60
Let i = 25 + -1. Let d(q) = 8*q**2 - 2*q - 2. Let w be d(-3). Calculate the least common multiple of i and 8/52 + w/13.
24
Let m be (-4)/22 + (-18722)/12826. Let a = m + 5473/848. Calculate the common denominator of ((-30)/8)/((-21)/18) and a.
112
Let d(l) = -9*l**3 - 272*l**2 - 61*l - 12. Calculate the lowest common multiple of 270 and d(-30).
270
Let k = -27241 + 8744336/321. Calculate the common denominator of -33/856 and k.
2568
Let w = 630892807/846 + -745736. Calculate the common denominator of w and -19/141.
846
Let t = 174 + -172. What is the common denominator of -32/27 and (t/(-30))/1*29?
135
What is the lowest common multiple of 24/(-40) + (-226)/(-10) and 74?
814
Suppose 2*r = 2*p + 576, -912 = -5*r + 3*p + 530. What is the smallest common multiple of r and 8?
2312
What is the common denominator of ((-44)/(-6050))/(1*12/(-885)) and -37/970?
10670
Suppose 3*a + 16 - 22 = 0. What is the least common multiple of (-2)/(-3) + a/(-9)*-6 and 6?
6
Let j(q) = -2*q + 32. Let y = -209 - -103. Let k = y + 118. What is the lowest common multiple of k and j(13)?
12
Let o = -40991 + 1967435/48. Find the common denominator of (3/2)/((-9)/137) and o.
48
Suppose 7*q + 2304 = -q. Let g = -17/91 + 1455/1456. What is the common denominator of g and (-750)/q + 1/3 - -2?
16
Suppose -3*w + 4*w = 5*c - 2, 5*w - 13 = 2*c. Let m = -51 - -53. Suppose 8 = -2*y, -3*p + m*y = -0*p - 23. What is the least common multiple of c and p?
5
What is the least common multiple of 594 and (-4 - -3)*-939 + (-18)/(-24)*-4?
30888
Let w = 33122353/90 - 1821226/5. Let t = -3776 + w. Find the common denominator of t and -2/27.
54
Let m = 4362 - 4353. What is the smallest common multiple of 3853 and m?
34677
Suppose -60 + 105 = -5*j. What is the lowest common multiple of 2/j + 18522/243 and 22?
836
Let q = -3640 + 7933. What is the least common multiple of 7 and q?
30051
Let w = 1527 - 811. Suppose 6*s = 4*m + 5*s - 570, -5*m + w = -3*s. Calculate the lowest common multiple of m and 18.
1278
Let l = -829 - -833. Suppose -l*p + 6 = -q, -4*q + 40 = 3*p - 12. Calculate the least common multiple of 138 and q.
690
Calculate the common denominator of (2/12)/((-153)/(-13)*7/70) and -47/1020.
9180
Let w(p) = -3*p**3 - 5*p**2 + 5*p - 5. Let o be w(-5). Let k = o + -484. Find the common denominator of 127/24 and (-4)/12 + 1 + (-490)/k.
264
Let f = -4166157/460 + 9057. Find the common denominator of 45/782 and f.
7820
Suppose 3*u + 2 = 11, 4*f + u = 57467. What is the least common multiple of 1 and f?
14366
Let a = 421446918 - 421