. What is the lowest common multiple of c and 45?
270
Suppose 2*a = -a + 216. Find the common denominator of 73/354 and (-102)/a + (9 - 2).
708
Let o = -3429729/80 + 42871. Let t = 107/8 + -131/12. What is the common denominator of t and o?
240
Suppose -2*v - v + 1 = -71. Calculate the lowest common multiple of v and 59.
1416
Let j(v) = -280*v - 236. Let a(p) = 8*p + 28. Let u be a(-4). What is the lowest common multiple of j(u) and 4?
884
Suppose s = 6*u - u + 1, -u + s = -3. Calculate the smallest common multiple of (-3)/u - ((1 - 26) + -4) and 12.
96
Suppose -157*k - 431 + 1373 = 0. What is the least common multiple of k and 277?
1662
Let k(p) = 3*p**2 - p + 1. Let y be k(-3). Suppose 5*i + 3*n - y = 0, i + 5*n + 7 + 0 = 0. What is the lowest common multiple of (255/68)/(3/i) and 27?
270
Let k(n) = -21*n - 208. Calculate the least common multiple of 1/(-9) + 545/45 and k(-12).
132
Let y(n) = -245*n**2 + 3397*n + 24. Calculate the least common multiple of 556 and y(13).
2780
Let d = 3448 + -27531/8. Let p = 2177 - 36999/17. Calculate the common denominator of d and p.
136
Let p(h) = 15*h. Let m be p(-3). Let z = m - -48. Find the common denominator of ((-15)/(-10) - z)*73/9 and 39/11.
66
Suppose -7*p + 10*p = 6. Suppose -3 = h + p*a - 2, 2*a = -2*h - 4. What is the least common multiple of 30 and 12/(6*h/18*-2)?
30
Let c(u) = -20*u + 103*u**2 + 9 - 99*u**2 - 3. What is the least common multiple of 130 and c(6)?
390
Let l = -2571/10 - -1783056/6935. What is the common denominator of l and 27/20?
27740
Suppose -12*q - 8 = -16*q. Let v be q/8 + (-79)/(-4). What is the least common multiple of (v/12*-3)/(5/(-2)) and 8?
8
Let y(c) = 2*c - 4. Let u = 194 + -113. Suppose -4*h + u = -119. What is the smallest common multiple of h and y(4)?
100
Calculate the lowest common multiple of (2*6 - (-31 + 39)) + 1283 and 9.
1287
Suppose 4*h + g - 1153 = 0, 0*h - 5*h = 2*g - 1442. Let y be (272/h)/(0 + 4/(-2382)). Let q = y + 569. Calculate the common denominator of q and 77/18.
36
Let c = 34583/2 - 17270. Let l = 128 + -194. Find the common denominator of c and (-23)/l*3/2.
44
Let z be (-8)/2 - -4 - 166. Let n be z/920*(-4 - (-40)/15). Let m = n + 3/115. What is the common denominator of 35/3 and m?
15
Let u(r) = 2*r**2 - 17*r - 23. Suppose l - 30 = -4*j + 14, 26 = j + 4*l. What is the lowest common multiple of u(j) and 19?
133
Let y be (-4)/((-60)/775) - -3. Let t = y + -49. Let r = 4665 + -42037/9. What is the common denominator of t and r?
9
Let m = 276 + -144. Suppose 130 = y + m. Find the common denominator of (-141)/24*y + 6/(-2) and 36/5.
20
Let w be (22385656/(-240) - 1)/((-6)/(-3865)). Let v = 60088377 + w. Let o = v + -4012. Calculate the common denominator of o and -111/28.
252
Suppose 3*j = -199 + 40. Let w = -46 - j. What is the smallest common multiple of w*(1 - 31/(-7)) and 22?
418
Let d = -630 + 652. Suppose 21*w + 126 = d*w. What is the lowest common multiple of 112 and w?
1008
Let h(m) = m**3 - 11*m**2 + 13*m - 18. Let p be h(10). Let u be -7*p*(-3)/(-6). Let o = 78 + u. What is the smallest common multiple of 4 and o?
36
Let f = 273867 - 136385627/498. Calculate the common denominator of -32/3 and f.
498
Let v(d) = -d**3 + 9*d**2 - 5*d - 27. Let b be v(8). Let m = -11149 + 200801/18. Find the common denominator of m and (9/8)/(b/124).
18
Let p = -125 - -132. Suppose 0*l + 7 = p*l. What is the least common multiple of 15 and l?
15
Let s(j) = j**2 - 11*j + 3. Let a be s(10). Let k(r) = r + 31. Calculate the lowest common multiple of 4 + (-40)/(a - -3) and k(-13).
126
Let i(k) = k**2 + 19*k + 36. Let a be i(-17). Let h = -4 - -6. What is the lowest common multiple of h and ((-1)/(6/a))/(13/(-273))?
14
Let m = -1253 - -713. Let v = 12527 + -250419/20. What is the common denominator of (6/4)/(m/(-978)) and v?
60
Let p = 40 + -55. Let t = -19 - p. Calculate the common denominator of ((-46)/6 + -1)/(t/3) and -53/16.
16
Let z = 2/21 + 136/189. Let m = 2602074079/1164 - 4470899/2. Let d = 25/291 + m. What is the common denominator of d and z?
108
Let w = -263 + 445. What is the least common multiple of 130 and w?
910
Let g be 2524/(-5) - 3 - 7/35. What is the common denominator of 12/5 and (g/14)/(336/(-49))?
120
Let t(f) = -6*f + 62. Let u be t(10). Suppose 4*g - u*r - 22 = -2, -8 = 2*r. Let s(i) = -4*i - 3. What is the least common multiple of g and s(-2)?
15
Let d(t) = -29*t + 94. Let i be d(19). Let s = -517 + 1214. Let w = i + s. Calculate the lowest common multiple of 14 and w.
1680
Suppose 3*k = -2*z - 18, -3*k + k + 14 = -3*z. Suppose 5*t - t = 0, 4*l - 2*t = 648. Calculate the common denominator of (-4)/z + (-774)/l and 55/3.
9
Suppose 7*x + 7*x - 10120 = -8*x. What is the lowest common multiple of 200 and x?
4600
Suppose -44 = -2*u + v, 3 + 1 = -v. Let z = -165 + 322. Let y = z - 137. What is the smallest common multiple of y and u?
20
What is the common denominator of -11/117 and ((-146)/(-150) + -1)*(-465650)/34840?
1170
Let u = 33059 - 44299063/1340. Calculate the common denominator of u and -13/8.
2680
Suppose -4*t - 3*f = -3700, 107 - 1015 = -t - 5*f. Calculate the smallest common multiple of 16 and t.
928
Let y = 19478/15 + -603338/465. Let l = -11952119/7200050 - 516/6175. Let n = -21/106 - l. Find the common denominator of y and n.
341
What is the common denominator of (1/(-2))/(2/(-146)) and (-24)/(-4)*(-5)/195 + 91448/(-5538)?
6
Let q = -50 + 51. Find the common denominator of 73/88 and q/3 - (-3 - 1478/(-384)).
704
Let g(n) = -5*n**2 + 21*n + 12. Let r be g(-6). What is the common denominator of 39/14 and (-13 + (-4984)/r)*(-1)/(-2)?
42
Let q = -89 - -39. Let h = q - -11. Find the common denominator of h and (-4 - (-134)/30)*12.
5
Let p = 1630 + -3339/2. What is the common denominator of p and 7/18?
18
Let q = -227719/24 + 9485. Find the common denominator of q and (-1939)/840 - 1/(-8).
120
Let n = 337 + -371. Calculate the common denominator of (n/(-153))/(85/(-12)) and 59/12.
1020
Let c = 36 + -31. What is the smallest common multiple of c and (-4)/(-2*(-6)/(-60)) - 0?
20
Let r(f) = f**3 - 22*f**2 - f + 49. Calculate the smallest common multiple of (-2 - -2) + -7 - -25 and r(22).
54
Suppose 11*n - 3 = 10*n. Suppose 3*k - n = 0, -2*k + 0*k = l - 24. Suppose -120 = -30*c + 28*c. What is the smallest common multiple of l and c?
660
Suppose -438*k + 419*k = -228. What is the smallest common multiple of 15608 and k?
46824
Let c be (-189)/(-11) - 6/33. Let t = -5 + c. What is the common denominator of (6/21)/(t/203) and 67/16?
48
Let u be -1 - 152/160*-569. Let g = u - 1073/2. Find the common denominator of g and -61/2.
20
Let c = 312635/66132 + -1/6012. Find the common denominator of c and -45/191.
2101
Let v be 234/(-351)*(-66)/(-2). What is the least common multiple of 6 and ((-12)/v)/((-117)/(-1716))?
24
Let a(u) = u**3 + u**2 + 14*u - 24. Calculate the least common multiple of 3100 and a(2).
12400
Suppose -z - 981 = -3*a, 0 = 4*z - 3*a + 946 + 2969. Find the common denominator of -121/290 and (z/(-32))/3 - (66 + -61).
2320
Let g = 6821/16 + -423. Let c = -3980 - -934. Let x = c - -66973/22. Calculate the common denominator of x and g.
176
Let b = -504 + 542. Let r(k) = -k**3 + 36*k**2 + 76*k + 18. Calculate the least common multiple of r(b) and 560.
5040
Let v(k) = k**2 - 6*k - 8. Let i be v(4). Find the common denominator of 143/18 and (-64)/i + 167/(-12).
36
What is the common denominator of (-2325)/9*(-6)/(-292) + 6 and -33/16?
1168
Let g be (3/15)/((-2)/(-535*2)). Let t = 965 - g. Calculate the smallest common multiple of t and 16.
6864
Let l = -9966 - -597967/60. What is the common denominator of 99/320 and l?
960
Suppose 0 = -0*h + 2*h - 8. Suppose -4*b + 2*r = -0*b - 314, 0 = b - 3*r - 71. Suppose -4*p + b = -0*p. Calculate the smallest common multiple of h and p.
20
Let c(d) = -d**2 + 6*d + 2. Let k be c(7). What is the common denominator of 85/110 - 1/(-2) and 1318/168 + 30/k?
924
Let p = -22 + 42. Let a = -238 + 240. What is the smallest common multiple of (-1)/a + (-280)/(-16) + -3 and p?
140
Let b be (0 - 4/14) + 592/14. Calculate the lowest common multiple of (b/(-10) - -3)/(12/(-30)) and 51.
51
Let d(f) = -2*f - 22. Suppose 84*i + 75 = 79*i. What is the least common multiple of 18 and d(i)?
72
Let z = -218 +