 o = -95119/20 + x. Find the common denominator of o and -87/2.
20
Suppose 4*u - 3 = -3*v, -2 = 2*v - 4*v - 2*u. Suppose -19 = 2*n - v. Let a = n + 11. Calculate the least common multiple of a and 4.
4
Let p(u) = -49*u**2 - 31*u + 16. Let r be p(-15). Let v = r + 158077/15. Find the common denominator of v and -61/6.
30
Let t = 414 + -395. What is the least common multiple of t and 4?
76
Let s = 85/2179 + 31236/2494955. Calculate the common denominator of -26/3 and s.
3435
Let u = -505 - -511. What is the smallest common multiple of u and 30?
30
Let d(v) = -2*v - 8. Suppose 5*y - 24 = 26. What is the least common multiple of d(-7) and y?
30
Suppose -6*t + t + 120 = 0. What is the lowest common multiple of t and 36?
72
Suppose 0 = 2*o - 3*u - 34, -3*o + 2*u + 52 = -2*u. Let i(v) = -v**3 + 6*v**2 - 5*v + 2. What is the least common multiple of i(5) and o?
20
Suppose -3*v + 38 = -1. Let p = v + -11. Suppose y - p = -y. What is the smallest common multiple of y and 2?
2
Let i(s) = -5*s - 36. What is the smallest common multiple of 30 and i(-36)?
720
Let l(h) = h**3 + 10*h**2 - 9*h + 27. Calculate the least common multiple of 171 and l(-11).
855
Suppose 8*l + 96 = 128. What is the lowest common multiple of 66 and l?
132
Find the common denominator of -2*1 - -4 - (-30)/(-7) and 54/17.
119
Let k = 134 - 122. Calculate the lowest common multiple of k and 4.
12
Let c(p) = 3*p + 14. Let r be c(-6). Find the common denominator of 137/18 and ((r - -3)*1)/6.
18
Let y(p) = p**2 - p - 1. Let m be y(2). Calculate the common denominator of 69/m*(-1)/(135/(-12)) and -59/3.
15
Calculate the common denominator of (-2)/6 - 194/24 and (-44630)/(-2100) - 4/(-20) - 4/14.
12
Let m be (6 + -14)*(-1 + 2). Calculate the common denominator of -75/4 and 3/m*1820/(-90).
12
Let u = 4193 - 25219/6. Calculate the common denominator of u and -14.
6
Suppose -4*b = c - 5*b + 9, 5*b + 35 = -3*c. Let o be 11428/(-210) + 2/c. Let h = -178/3 - o. Calculate the common denominator of -13/2 and h.
14
Let a = 2/4417 + -154643/106008. What is the common denominator of 79/36 and a?
72
Let g be -7*2 + 3/(-3). Find the common denominator of -83/12 and (81/g*-1)/(-2).
60
What is the common denominator of (-1 + (-51)/(-4))*178/(-445) and 31/4?
20
Let i be 8/(-6) + 4/(-6). Let l = 5/138 - -2506/345. What is the common denominator of (-79)/(i/2 - -7) and l?
30
Let v be (-3)/((-3)/12*-6). Let i be v/(-6) - 3432/9. Calculate the common denominator of i/(-110) - (-12)/(-20) and 149/12.
132
Suppose -o = -0*o + 5, -5*o = 4*x - 487. Let r = 547640/11 + -49913. Let c = r + x. Calculate the common denominator of -20/3 and c.
33
Let y = -272 - -5927/22. What is the common denominator of 0 + 129/(-66)*1 and y?
22
Let b = 11/1224 + -29737/6120. What is the common denominator of 101/60 and b?
60
Let y = -314/13 - -27721/1131. Calculate the common denominator of -91/45 and y.
1305
Let c = 335/6741 - 2/963. Calculate the common denominator of 61/27 and c.
189
Suppose -2*o + 3*o - 3*d = 30, 3*d - 12 = -o. Suppose -5*r = -5*l + 135, -5*l = -6*l - 2*r + 36. What is the smallest common multiple of l and o?
210
Suppose -4*l = 2*n - 18, -3*l + n = -0*n - 6. Suppose -253*a + 249*a + 4 = 0. Calculate the least common multiple of l and a.
3
Let g(a) = a**3 + 23*a**2 + 2*a + 30. Let x be g(-23). Let p = 22 + x. Calculate the lowest common multiple of 20 and p.
60
Let o = -3918/19 + 135876/665. Find the common denominator of o and -13/45.
315
Let s = 133907/15 + -8921. Find the common denominator of s and (-21)/(-14) + (-59)/24*-2.
60
Suppose 0 = -2*w + 4*w - 28. Let a = -12 + 14. Calculate the lowest common multiple of a and w.
14
Suppose -j = -v + 3*j + 11, 33 = 3*v + 3*j. Suppose v*y - 16*y = -100. What is the least common multiple of 6 and y?
60
Suppose 5 + 9 = w - 4*j, 0 = -5*w - j - 35. Suppose -3*c = -1040 + 14. What is the common denominator of 65/4 and c/(-297)*w/(-8)?
44
Find the common denominator of -109/108 and 7110/3960 + 2 + (-22)/6.
1188
Let j = 2997 + -2985. Let n(t) = 11*t**2 - t. What is the least common multiple of n(1) and j?
60
Let c = 13599/1309 + -168/17. Find the common denominator of -8/77 and c.
77
Let m(n) = -8*n - 3. Let w be m(-3). Find the common denominator of 6 + (-218)/w - 4*-1 and -27/8.
168
Suppose -s + 79*s - 4680 = 0. What is the lowest common multiple of 50 and s?
300
Suppose b = -5*o - 0*o - 464, 4*b + 5*o + 1856 = 0. Find the common denominator of b/(-64)*8/(-14) and -58/25.
175
Suppose h = 4*h - 12. Let s = -344 + 353. Calculate the lowest common multiple of s and h.
36
Suppose -y - 6 = -2*v + y, -4*v = 3*y - 26. What is the least common multiple of 20 and v?
20
Let t(x) = -7*x**3 + 5*x**2 - 4*x. Let j be t(2). Let q = 62 + j. Calculate the least common multiple of q and 10.
90
Let w = 44802441/905113016 - 2/759323. What is the common denominator of w and 77/4?
1192
Let b(r) = 3*r**2 - 2*r - 1. Let d be b(-1). Suppose 93 = -d*m + m. Calculate the common denominator of -47/3 and m/(-5) + 3 - 3.
15
Let y(g) = -17*g + 303. What is the lowest common multiple of 6 + 2 + 0/(-2) and y(15)?
48
Let m = -941 + 754681/802. Let b = 4612/401 + m. What is the common denominator of -37/2 and b?
2
Let j = 177 - 171. What is the least common multiple of 19 and j?
114
Let j be 2 + ((-90818)/(-8))/(-7). Suppose 4*r + 2*c - 6521 = -c, c - 8165 = -5*r. Let d = j + r. What is the common denominator of -57/22 and d?
44
Suppose -3*b - b = -36. What is the common denominator of 119/12 and b/12 + (-1410)/(-216)?
36
Let w(r) = -r**2 + 9*r + 6. Suppose 3*d - 8 - 19 = 0. What is the least common multiple of w(d) and 16?
48
Suppose 0 = -7*p + 31*p - 1512. What is the smallest common multiple of 105 and p?
315
Calculate the least common multiple of 199 and (-364)/(-35) - 6/15.
1990
Let c(w) = 3*w**2 - 1. Let t(l) = -6*l - 22. Let a be t(-4). What is the least common multiple of 20 and c(a)?
220
Let p(y) = y**2 - 4*y. Calculate the common denominator of -1 - 3 - 34/(-16)*5 and p(5).
8
Let v = 2432/3 - 9769/12. Let z be 2 - (-21240)/((-16)/(-4)). Let m = z + -116803/22. Calculate the common denominator of v and m.
132
What is the least common multiple of 45 and 9*(-2 + 4)/(7 - 5)?
45
What is the least common multiple of 66 and 5*(248/40 + 1)?
396
What is the common denominator of ((-5)/18)/((-256)/1632) and -1/30?
240
Let l(b) = b**2 + 5*b + 2. Suppose 0 = 5*x + 30. Let y be l(x). Let v = y + 1. Calculate the least common multiple of 11 and v.
99
Suppose -3*b + g = 91 - 146, -4*b - 3*g + 56 = 0. Suppose j + 2 - 10 = 0. What is the smallest common multiple of j and b?
136
Suppose 0 = -27*o + 489 - 57. What is the smallest common multiple of 20 and o?
80
Suppose 2*y + 3*h = h + 322, -4*y + 652 = 2*h. What is the lowest common multiple of y and 25?
825
Suppose 2*o - 4 = 8. Calculate the smallest common multiple of 1 - (-1)/(3/o) and (5 + -2)*(-1)/(-3).
3
Let b(q) = -2*q**2 - 5*q + 12. Let o be b(-4). Suppose -5*v + o + 30 = 0. Calculate the lowest common multiple of 23 and v.
138
Let h = 2402/4333 - -221811073/389970. Let r = h - 5126/9. Calculate the common denominator of r and -81/4.
180
Let o = 325/3 - 2143/21. Let q = 38/7 - o. What is the common denominator of (-123)/(-72) + 1/(-3) and q?
56
Let m(j) = -7*j - 2. Let r be m(-1). Suppose -r*a = -4*a - 8. What is the least common multiple of 8 and a?
8
Let k(r) = 3*r - 4. Let c be k(-3). Let i = c + 23. Suppose 2 + 0 = 2*n. Calculate the smallest common multiple of i and n.
10
Let y(h) = 109*h - 500. What is the least common multiple of 18 and y(5)?
90
Let f = 516 + -5073. What is the common denominator of 1*4 - (-16895)/f and -37/2?
294
Let p = -40331/112 - -2550/7. Suppose -4*r - 2 - 2 = -4*h, -3*r = 5*h + 35. Find the common denominator of h/(-40)*(-51)/(-2) and p.
80
Suppose 0*m = -2*m. Suppose -5*v + 2*l = 5968, -3*v - 2*l - 2367 - 1217 = m. Let q = v - -8395/7. Find the common denominator of 8/9 and q.
63
Let b(z) = 2*z**2 + 4. Suppose -3*d - 5 = -2*o, -9 = d + 2*d. Let a be b(o). Calculate the common denominator of -22/5 and (a/27)/(12/9).
15
Let d be (147/20)/(9620/(-16850)) + 4. Let a be (963/962 - 1)/1. Let k = d - a. Calculate the common denominator of -61/3 and k.
24
Let a = -110/19 - -2067/380. Calculate the common denominator of a and -22/95.
