0
Suppose -12*n - 4*a + 11792 = -7*n, 28 = -4*a. What is the least common multiple of n and 16?
9456
Let r(m) = 16*m**2 + 79*m - 779. What is the lowest common multiple of 15 and r(10)?
8055
Let t(n) = -n**3 - 17*n**2 - 18*n - 47. Suppose 4*l + 90 = 26. Let i be t(l). What is the common denominator of -51/22 and (-1)/(-66)*i/(-3) + 1?
66
Suppose -k + 19 = 3*q - 11, 142 = 4*k + q. Suppose -s - 20 = -3*s. Let l = s - 6. Calculate the least common multiple of l and k.
36
Calculate the common denominator of -1*(5 + -12) - 9/((-13095)/(-10430)) and 26/17.
4947
Let m = -59/45 + 799/630. What is the common denominator of m and -99/860?
6020
Let w = 1/5832 + -76789/5832. Let q be -5 + 1 + 3 + (3 - 7). Calculate the common denominator of w and (-10)/(-2) - -843*q/540.
36
Let g be ((-9)/12*4)/(-5 - -4). Find the common denominator of g/24*46*68/459 and 29/237.
2133
Suppose -4*c + 4*w + 27 = -25, -2*w - 62 = -5*c. Let t be c/(-8)*((-8)/(-3))/2. Calculate the lowest common multiple of t/(7/(252/(-8))) and 14.
126
Let d = -4070 + 4080. What is the smallest common multiple of d and 598?
2990
Let f = 21813/7 - 3795427/1218. What is the common denominator of (24/(-16))/((-54)/218) and f?
522
Find the common denominator of ((-5046)/972 - -5)/(221/52) and -24/7.
9639
Suppose 6*n + 5*p + 3579 = 9*n, -3 = p. What is the least common multiple of 462 and n?
8316
Let v be ((-32)/(-20))/(3/(690/4)). What is the common denominator of ((-23)/v)/((-9)/24) and (-1 + 3)*41/(-34)?
51
Let z = 49082/65 + -9936/13. Find the common denominator of z and (-1 - (-92)/88)*82.
55
Let a(k) = -3*k**2 + 39*k + 22. Let p be a(13). Suppose -p*u + 168 = -14*u. Suppose 47 = 5*i - 28. Calculate the least common multiple of u and i.
105
Let i be ((-20)/(-6))/(2/(-3)). Let v be ((-29)/i)/(-6*(-35)/75). Let w = v + -2. Find the common denominator of w and -89/66.
462
Let o = 66010 + -4884841/74. What is the common denominator of 202/(-36)*153/(-34) and o?
148
Calculate the least common multiple of -11 + (-1134)/(-28) + (-10)/4 and 27.
27
Let y(x) = 6*x**2 + x + 1. Let l be 9/((6 + 0)/6). Calculate the smallest common multiple of y(-1) and (0 - 7 - -3) + (l - 0).
30
Suppose 4*h - h - 4*k = 51, -3*h + 51 = -5*k. Suppose 0 = -2*a + h + 19. Let b(o) = -o**2 + 6*o - 5. Calculate the lowest common multiple of b(3) and a.
36
Let j(l) = -9*l - 54. Let k be (-2 + 35/(-10) - 0)*2. What is the least common multiple of 20 and j(k)?
180
Let w be 18/(-18) + (-16574)/(-16582). Let b = w + 688297/298476. Calculate the common denominator of -17/30 and b.
180
Find the common denominator of 13/72 and ((-126)/45)/14 + 177/1620.
1080
Suppose -106*s + 112*s + 204 = 0. Let o(n) = n**3 + 33*n**2 - 35*n - 28. What is the lowest common multiple of o(s) and 520?
1560
Let z be (38/(-152))/(1/(-1636)). Let n = 419 - z. What is the lowest common multiple of -2 + -6*(1 + -2) and n?
20
Let p(x) = -2*x**2 + 33*x + 2464. Let r be p(0). Let k = 19783/8 - r. What is the common denominator of k and (-227)/12 + (-1)/3?
8
Suppose 94 + 20 = 2*y. What is the common denominator of (-6)/(7 - 411/y) and -46/19?
38
Let x(u) = u**3 + 7*u**2 - 9*u - 6. Let t be 4 - 0 - 7/7*10. Let j be x(t). Let d = j - 78. What is the smallest common multiple of 8 and d?
24
Suppose 7*i = -5*i + 4*i + 1168. Calculate the lowest common multiple of 1460 and i.
1460
Let g = 181489/1138 - -11/569. Let k = g - 5743/36. Let a = -1018/63 - -161/18. Calculate the common denominator of a and k.
252
Calculate the common denominator of -13/2858 and ((-22)/(-30))/((28/63)/2).
14290
Let z be (4/3)/(12/(-18)*-1). Suppose -2*u + 0*v - 3*v - 79 = 0, -4*u - z*v = 138. Find the common denominator of (-712)/u*(-1)/6 and -51/4.
24
Calculate the smallest common multiple of 213 and (-4 + 200/56)*-7 + 36.
2769
Let r = -752/3 - -2317/9. Let u be (-147853)/42 - (-2 + 2). Let k = u - -7035/2. What is the common denominator of k and r?
63
Let p(r) = 60*r + 2*r**3 + 7 - 48*r + r**2 - 31. What is the lowest common multiple of p(2) and 100?
100
Suppose 0 = -159*j + 155*j + 24. Let o = -28 - -27. What is the least common multiple of ((-3)/o - 3) + 57 and j?
114
What is the lowest common multiple of 480 and (2/5 - 0)/(8/(-4200)*-7)?
480
Let w be (160/(-520))/(4/(-26)). Suppose 2*t = 5*g - w*t - 26, -13 = -2*g - t. What is the lowest common multiple of g and 157?
942
Suppose 0 = 5*q - 5*b, -11 = -5*q - 4*b - 2. Calculate the common denominator of q/(-3 + 120/43) and -37/59.
531
Let m = -2 - -12. Suppose -4*f = -4*u + 56, 2 + m = -3*f. What is the smallest common multiple of 3 and ((-16)/u)/(((-24)/10)/6)?
12
Let s(v) = 28*v + 2096. Calculate the lowest common multiple of s(-47) and 39.
780
Let d be 2 - 3720/(-4)*1138710/(-4). Let g = d + 1454801675491/5495. Let n = g - 3/785. Calculate the common denominator of n and 115/14.
14
Suppose 3*q + 33*t = 37*t + 444, -2*q = -3*t - 294. What is the least common multiple of q and 80?
3120
Let l = 7193 - 43033/6. Let q = 221/1954 - 29384095/2931. Let m = 10050 + q. Find the common denominator of m and l.
6
Let s = -5681 + 5715. Calculate the lowest common multiple of 98 and s.
1666
Let a(p) = 7*p**3 - 12*p**2 + p + 14. Let h(x) = 15*x**3 - 26*x**2 + 2*x + 29. Let w(q) = -13*a(q) + 6*h(q). What is the lowest common multiple of w(-4) and 84?
420
Let c(w) = 21*w**2 - 12*w - 4. Suppose -13 = -44*r + 75. What is the least common multiple of 52 and c(r)?
728
Let i = 79487/40 + -9923/5. Let l be (47234/32)/(1/(-2)). Let n = 2959 + l. What is the common denominator of i and n?
40
Calculate the smallest common multiple of 380 and (-1)/(21273/2660 + -8).
380
Let s(f) = -f**3 - 10*f**2 - 9*f + 2. Let n be s(-8). Let d = 58 + n. Calculate the common denominator of -29/10 and -4 + (d - (-207)/6).
10
Suppose 40*r = 45*r - 675. Suppose 5*n - 204 = 4*k, 5*n - 2*k = 67 + r. Calculate the smallest common multiple of 16 and n.
80
Find the common denominator of 19/8 and 6 + (6/(72/84) - 294/15).
40
Suppose 146*l - 154*l = -1888. Suppose 226*d = l*d - 70. Let m(a) = a**2 - 5*a - 5. What is the least common multiple of m(6) and d?
7
Let u = 3362691 + -20130707/6. Let r = u - 7550. Calculate the common denominator of ((-2)/(-4))/(9/(-309)) and r.
6
Let g be 28*((-10)/8)/(-5). Calculate the lowest common multiple of 17 - 1*35/g and 8.
24
Suppose 123*m = 118*m + 5, -h + 4*m = -122. What is the lowest common multiple of h and 16?
1008
Suppose 0 = -2*w - 24 - 36. Suppose 4*q = -3*b - b + 116, -2*b = -q - 52. What is the lowest common multiple of ((w/4)/5)/((-2)/40) and b?
270
Suppose 90*z = 101*z + 2816. Let j = -246 - z. Calculate the lowest common multiple of j and 110.
110
Suppose a + 3*w - 618 = 0, 53*w - 51*w = -3*a + 1868. Calculate the lowest common multiple of a and 234.
1872
Let p = 2305 - 1645. Find the common denominator of ((-75)/(-108))/((-3)/(-12)) and (-4)/(-14) + 2*p/(-896).
144
Let k = 21613 + -2053281/95. Find the common denominator of -9/65 and k.
1235
Suppose 5*o - 3*m - 221 = 0, -4 = o + 3*m - 77. What is the smallest common multiple of o and 385?
2695
Let o = 9768 + -117307/12. Calculate the common denominator of o and (-459)/(-255)*(-4)/(224/(-10)).
84
Suppose 0 = 26*n + 651 - 4231 - 1282. What is the smallest common multiple of n and 1683?
1683
Let m = -82 - -84. Suppose -4*c = -4*s + 3*s + 3365, 2*c - 5*s = -1705. Calculate the common denominator of 5/4 - m - 2926/c and 23/10.
30
Let l = 132 + -118. Suppose 8 = 2*p - 3*x, -5*x = 2*p - 3 - 5. What is the lowest common multiple of l and p?
28
Suppose 358*l - 356*l = -3*p + 726, 4*l = -2*p + 492. What is the least common multiple of p and 288?
1440
Let t(r) = -r**2 - 87*r - 1832. What is the least common multiple of t(-48) and 2/(-4)*(-30)/3?
40
Let m = -5119 - -214981/42. Calculate the common denominator of -4 + 2 - (-1 + (-362)/132) and m.
462
Let s = -1313 + 1317. Let g(c) = -c**2 + 3*c + 4. Let l be g(4). Let r(a) = -a**2 - a + 22. Calculate the lowest common multiple of r(l) and s.
44
Let c be 2/(-6) + -3 + 20/6. Suppose 301*b - 297*b - 12 = c. What is the lowest common multiple of b and 90?
90
Suppose -4 = 2*r, 4*n - 23046 = -4*r + 1030. What is the common denominator of (4/(-10))/(-1 - n/(-4365)) and -31/6?
276
Let c = 27719 + -25574. Calculate the lowest common multiple of c and 15.
2145
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