
330
Let h = -34 + 19. Calculate the common denominator of 1/(-4)*(-3)/(h/(-98)) and -33/16.
80
Suppose b + 2 = 4*p, -b + 5*p = 3*b + 52. What is the least common multiple of (b*2)/(1*9/(-30)) and 20?
120
Let m = 373 + -346. What is the smallest common multiple of m and 54?
54
Let k = -6677/18 - -370. Find the common denominator of k and (-63)/15 + (-1)/(-6).
90
Let p be (6/(-2))/(48/(-64)). Suppose -p*a - a = -25. Calculate the least common multiple of a and 11.
55
Let n = 19 + 194. Calculate the common denominator of n/42 - (0 + -3) and 51/10.
70
Let q = -2654 + 23860/9. Let s = -1 - -2. Find the common denominator of (7/30)/(s/(-9)) and q.
90
Suppose -53*q + 9*q = -44. What is the least common multiple of 67 and q?
67
Let r = 35877 + -1722017/48. Calculate the common denominator of r and (-1245)/(-10)*2/(-42).
336
Let j(k) = -k**3 - 2*k**2 + 4*k + 13. Calculate the smallest common multiple of 40 and j(-3).
40
Let i be 180/(-22) + (-2)/(-11). Let a = -12742 - -343969/27. What is the common denominator of 2/(-2) + 134/i and a?
108
Suppose -3*h - x + 0*x + 2817 = 0, -4*h + 3745 = 5*x. Suppose -12 = -p + 13. Find the common denominator of -13/8 and (-5)/p*h/64.
16
Suppose -2*l + 28 = -2*p + 6*p, -3*l + p + 28 = 0. What is the smallest common multiple of 45 and l?
90
Let l be 10/2 + -4 - (-714)/(-194). Let k = -949/3880 + l. What is the common denominator of k and -11/2?
40
Let x = -152579/20 + 7632. What is the common denominator of 0 - (187/(-226) + 1) and x?
2260
Let y(w) = w**2 - 37*w + 190. What is the least common multiple of y(31) and 4?
4
Let i = 78805/404019 - -11/3339. Find the common denominator of i and -76/33.
363
Let l = -393059593/18 + 21819273. Let f = -17376 - l. What is the common denominator of f and 3/(-12)*238/(-25)?
450
Let m = -681 + 5409/8. Let j be (8/6)/(9/27). Calculate the common denominator of m and (-66)/10 + -8 + j.
40
Suppose -238 + 310 = 12*t. Let c = -8 - -16. Calculate the smallest common multiple of t and c.
24
Let u = -1300 - -1424. What is the least common multiple of u and 52?
1612
Let p = -5 - -11. Suppose 2*v - 8 = -0*v. What is the least common multiple of 7 - 6/3 - v and p?
6
Let s = -2591660261/306 + 8469430. Let i = s - -690/17. Find the common denominator of 26 and i.
18
Let x = 7 + -3. Let g(v) = v**3 - 2*v**2 - 3*v + 6. Let q be g(3). Suppose -47 = -q*n + 7. What is the lowest common multiple of x and n?
36
Let q be (123206/(-40) - (-24)/(-40))*4. Let o = q - -147779/12. What is the common denominator of o and 47/12?
12
Let r = -225/14 + 7523/462. Calculate the common denominator of 32/201 and r.
2211
Let f = 6 + -4. Let n(o) = -o**2 + 5*o + 6. Let w be n(6). Let p = f - w. Calculate the lowest common multiple of 6 and p.
6
Let w be (-3)/(6 - 0)*0/(-2). Suppose -3*m + 10 + 5 = w. Let n(t) = 7*t. What is the least common multiple of n(1) and m?
35
Let g = 2105/18 + -227/2. What is the common denominator of 53/87 and g?
261
Let i = -123/256 + -4747/3840. Calculate the common denominator of 101/114 and i.
1140
Let j be ((-27)/6)/(4/(-72)). Suppose -3*i = -j + 24. Let m = -17 + i. What is the least common multiple of 8 and m?
8
Let x = 1223/33 - 112/3. Suppose i + 2*h = 7*h - 30, 0 = -3*i - 5*h - 10. Find the common denominator of x and 17/(-2)*12/i.
55
Let v be (4 + -1 - (-9 - -13)) + 6. Find the common denominator of v/((-45)/(-14)) + 6/4 and -107/22.
198
Let t be ((-141694)/(-4) - 3)*-18. Let n be t/67620 + (-1)/4. Let v = n + -24/1127. Calculate the common denominator of -31/16 and v.
80
Let w(x) = x**2 + 6*x - 9. Let v be w(-7). Let f = v + -4. What is the common denominator of 17/32 and 76/(-8) + f + 2?
32
Let n = 2031 - 6022/3. Let g = 4/63 + -1367/693. Calculate the common denominator of g and n.
33
Let v = 74135 - 7561871/102. Calculate the common denominator of v and 49/102.
102
Let d(k) = k**3 + 7*k**2 + 4*k - 7. Let u be d(-6). Suppose -36 = -4*x + 3*o - 9, 22 = -x - u*o. What is the lowest common multiple of 14 and x?
42
Let m = 4 + -1. Suppose 2*i - 3*i + m = 0. Suppose 4*x - i*z = 57, -x - z = -16 - 7. Calculate the least common multiple of x and 20.
180
Suppose 45*r - 9*r - 288 = 0. Calculate the least common multiple of 167 and r.
1336
Let n = 839 + -831. What is the smallest common multiple of 802 and n?
3208
Let y = -110078/21 + 5243. Find the common denominator of 179/108 - (8 - 350/40) and y.
189
Suppose 2*q = -2*q - 8. Suppose 0 = -6*s + 689 - 641. What is the smallest common multiple of s and (-2)/((-1)/(3 + q))?
8
What is the common denominator of (-38)/285 - (-937)/(-60) and 97/190?
380
Let q(u) = -2*u + 13. Let s be q(4). Suppose s*t = 19 + 6. What is the smallest common multiple of 34 and t?
170
What is the common denominator of -47/40 and (135/90)/((-132)/(-38))?
440
Suppose -14 = 2*c - 102. Suppose 0 = -87*s + 81*s + 36. What is the smallest common multiple of s and c?
132
Let p = 546 - 321. Calculate the common denominator of 340/p + (-3)/27 and (-2)/8 + 342/(-8).
5
Suppose 180*v - 176*v = 68. Suppose v = k + 2*k - 2*y, -1 = 5*k + 4*y. Calculate the smallest common multiple of k and 9.
9
Let f = 981 + -891. What is the lowest common multiple of f and 189?
1890
Suppose v + 2 = 0, -3*i = -5*v - 0*v - 58. What is the smallest common multiple of 10 and ((-20)/i)/(3/(-120))?
50
Let j(v) = -v**3 - 11*v**2 + 13*v + 16. Let s be j(-12). Calculate the lowest common multiple of 8 and (s + -5)*((-2)/(-1))/(-2).
8
Let x = -8205 - -131359/16. What is the common denominator of -16 - -14 - (-11)/(-16) and x?
16
Let n(a) = -2*a + 28. Let y(l) = 2*l**2 + 14*l + 8. Let k be y(-7). Calculate the least common multiple of 16 and n(k).
48
Calculate the common denominator of ((-54)/(-27) + 154/(-90))*-6 and -26/9.
45
Let b be ((-9)/(2673/96))/((-4)/366). Let q = b + -582/11. Calculate the common denominator of q and 0 + ((-186)/8 - -1).
12
Let j = 1267 + -1245. Calculate the least common multiple of j and 62/5 - 4/10.
132
Let d(a) = 92*a**3 - a**2 + 2*a + 4. Let c be d(2). Find the common denominator of 3/17 and (-8)/90*7/((-56)/c).
153
Suppose 0 = 3*v - 3, -5*v = 3*g - 5*g + 223. Calculate the common denominator of 3 - (-1 - g/(-8)) and 19/10.
20
Let w = -34579/1064 + 369/152. Let g be (-36)/(-105)*(-75)/10. Let i = w - g. Find the common denominator of 47/8 and i.
8
Suppose -4*q = 127 + 121. Let w = -42 - q. Calculate the lowest common multiple of w and 4.
20
Suppose -8*v + 6 = -5*v. Calculate the least common multiple of -5 - -21*9/27 and v.
2
Suppose -4*m = 24 - 36. What is the least common multiple of 146 and (-8)/(-7 + m)*1*8?
1168
Suppose 5*b + c - 8 - 6 = 0, 11 = 3*b - 2*c. Suppose 0 = q - 0*q - b*n - 10, 4*q + 5*n - 40 = 0. What is the lowest common multiple of 192 and q?
960
Let t = 226 - 445. Find the common denominator of (2/(-33)*t)/(-6) and -127/6.
66
Let k = 437/5 - 1511/15. Let a be (9 - 1)/(11/22). Suppose -u = -a + 2. Find the common denominator of u and k.
3
Suppose -4*q = -16, -u + 3*q = -4*u + 114. What is the smallest common multiple of 20 and u?
340
Let n = -1/6891 + 434141/55128. Let g = -7305/14 + 522. Calculate the common denominator of n and g.
56
Let r = 21787/17811 - 2/1979. Calculate the common denominator of -5 + -7 + 15 + 76/(-6) and r.
9
What is the smallest common multiple of (-216)/(-27) + 2 + -4 and 464?
1392
Let k(r) = 10*r**2. Let p be k(2). Let o = p - 22. What is the smallest common multiple of o and 6?
18
Let h = -6130226/255 + 24040. Calculate the common denominator of -85/6 and h.
510
Suppose -1 = -2*y + 11. Let l be y/(1/(-20)*-2). Calculate the least common multiple of 2/(-8) + 735/l and 8.
24
Let a be 2 + (2/6 - (-12030)/40). Let q = 307 - a. What is the common denominator of -87/28 and q?
84
Let p be (-1)/(-3) + 1/(-3). Let a(m) = 2*m + 54. Let d be a(p). Find the common denominator of (-6)/(-4) - d/10 and 93/26.
130
Suppose 0 = -3*m + 9*m + 12. Let d = -3339/110 - -412/11. What is the common denominator of d and m/(-7) - 1128/224?
20
Let p be ((-1)/(-3))/((-42)/(-363979)). Let l = -2885 + p. Calculate the common denominator of l and 6/7.
126
Suppose -2*s + 2*k = 132, 5*s + 4*k + 68 = -217. Let j = 70 + s. What is the least common multiple of j and 1?
9
Suppose -13*i = -240 - 20. Calculate the least common multiple of i and 60.
60
Find the comm