
Let r be 2/((-112)/58812) - -4. Let m = -3598 - -2551. Let y = m - r. Find the common denominator of -51/10 and y.
70
Calculate the lowest common multiple of 61 and (-3)/(12/40)*(-4 + 3).
610
Let a(s) be the second derivative of -s**3/6 - s**2 - s. Let m = 3763 + -3751. Calculate the smallest common multiple of m and a(-4).
12
Let g(h) = h**2 + 4*h - 6. Let f be g(-7). What is the common denominator of (2/(-8))/((-6)/(-388)) and (22/f)/(24/130)?
18
Suppose 3*z - 5*d = 70, -4*z + 0*d - d = -124. Suppose -4*f + z = 5*i, 5*i - 4*f = -4 - 6. What is the common denominator of -55/3 and i/7 - (-963)/378?
6
Calculate the common denominator of 87/28 and 58/4*(-22)/(-44).
28
Let g = -5250 + 104969/20. What is the common denominator of 39/(-30) + (-15 - -10) and g?
20
Let c be ((-132)/24)/((-2)/4). Let a(x) = -x**2 + 11*x + 8. Let s be a(c). Find the common denominator of (-12)/(-63)*36/s and 3/10.
70
Let c be 7/((-28)/16) - 0. Find the common denominator of 50/11 and 2/c + (-203)/140.
220
Let b(r) = r**2 - 12*r + 28. What is the lowest common multiple of 9 and b(12)?
252
Let v(y) = -33*y - 135. Calculate the smallest common multiple of v(-5) and 120.
120
Suppose -30*a = -36*a - 60. Let p = 1 - a. What is the least common multiple of 46 and p?
506
Let q = 78/353 - 24362/27181. What is the common denominator of 65/28 and q?
308
Let x(z) = -z**2 + 14*z + 24. Let a be x(14). What is the common denominator of 19 and ((-44)/a)/(4/(-9))?
8
Find the common denominator of 19/18 and (19/9 - 2)/((-368)/966).
72
Let t = 34097 + -2148056/63. What is the common denominator of 31/36 and t?
252
Suppose o - 4*j - 13 = -0*j, -2*o + 20 = -5*j. Calculate the least common multiple of o and 246.
1230
Let y = -2 + 4. Suppose y*r = -3*v + 6, 3*r = 3*v + 2*r - 15. Calculate the smallest common multiple of v/((-1)/(1 + -3)) and 5.
40
What is the smallest common multiple of ((1008/(-35))/(-9))/(2/10) and 378?
3024
Suppose 2*j = -c + 9, 15 = 3*j - 2*j + 4*c. Calculate the common denominator of ((-46)/(-16))/((-582)/(-120) - 5) and j*(-3)/(-72)*-26.
12
Let z = -25 + 209. Let f = z - 1433/8. Find the common denominator of -37/11 and f.
88
Let b(i) = 4*i - 5. Suppose -105 - 55 = -8*d. Calculate the lowest common multiple of d and b(3).
140
Let x(j) = 2*j**2 - 16*j + 15. Let w(s) = -s - 8 - s**2 - 1 + 8 + 2*s. Let p(r) = -3*w(r) - x(r). What is the smallest common multiple of p(-14) and 22?
22
Let x be (-518)/77*(-125)/(-2). Let f = -421 - x. What is the common denominator of f and 77/8?
88
Let p = 1326127 + -29184623/22. Let j = 447 + p. What is the common denominator of -25/8 and j?
88
Let v(r) = 38*r + 464. Let y = -32 - -72. Calculate the least common multiple of v(-12) and y.
40
Suppose -4*o - 2*s + 25 = -51, 4*o - 3*s - 86 = 0. Suppose 6*r = 11*r, 2*r = -5*f + 70. What is the lowest common multiple of f and o?
140
Let f = -20 - -31. What is the smallest common multiple of 2/f + (-5450)/(-275) and 6?
60
Suppose 0 = -110*k + 3498 - 198. Calculate the least common multiple of (-1 - (-22)/10)*10 and k.
60
Let w = -33/7 + 1499/315. Find the common denominator of 43/45 and w.
45
Let b = 4351/8 + -539. Let c(w) = -67*w + 23. Let o be c(-15). Let n = o + -2117/2. Find the common denominator of b and n.
8
Let w(m) = -4*m - 18. Calculate the smallest common multiple of w(-8) and 788.
5516
Suppose 0*t - 24 = -5*t - 2*l, 0 = 3*t - l - 10. Suppose 2*a - 28 = t*p, 0 = -2*a + a + 5*p + 23. Calculate the smallest common multiple of a and 11.
88
Let z be (-1136)/382 - (-2 + -1). Let o = 11284/573 - z. Calculate the common denominator of 127/6 and o.
6
Let g(d) = d**3 + 8*d**2 - 12*d - 23. Let v be g(-9). Suppose v*l = 3*q - 74 + 21, 3*q - 3*l = 51. Find the common denominator of q and 42/11.
11
Let b = 8270113/2625 + -110433/35. Let m = 7/750 + b. What is the common denominator of m and -35/8?
40
Let m(z) = z + 10. Let c be m(0). Suppose -4*t = 2*r - 30, 0 = -r + 2*t + c + 9. Let i = r - 1. What is the least common multiple of 20 and i?
80
Calculate the common denominator of 3/(-144)*4004/(-21) and -13/12.
36
Suppose -5*a + a + 5*k = 33, 5*a = 5*k - 40. Let o = 25 + a. Let m = 73 - 71. Calculate the lowest common multiple of o and m.
18
Suppose -3*m + 2*m - 113 = 0. Let o = m - -571/5. Find the common denominator of o and (-1)/(-1) - (-73)/(-2).
10
Let r = 5095/428 + 4/321. Suppose -b + 4*b - 5*f = 34, 32 = 2*b - f. Calculate the common denominator of (0 + (-2)/b)/(12/(-909)) and r.
12
Calculate the lowest common multiple of (-6)/24*20 - -8 and 15.
15
Let x = 6/167 - -16413/3340. What is the common denominator of (-6)/(9/((-1035)/(-80))) and x?
40
Let x(t) = 27*t**2 - 33*t + 95. Calculate the smallest common multiple of x(3) and 4.
956
Let t be (-6)/9 - 111790/(-195). Let m = t - 573. Let c = 1023/250 + -24/125. Find the common denominator of c and m.
130
Suppose y - 3 = 2. Suppose -4*n = 20, 5*m - y*n = 2*m + 115. Calculate the smallest common multiple of 45 and m.
90
Let v = -3509/32469 + 512961803/52729656. Let c = -1/203 - v. Find the common denominator of c and 89/12.
24
What is the common denominator of (-1)/(24/32 - (-254)/(-104)) and -43/132?
132
Let f be 1/(-4)*-4 - -4. Suppose 0*a + 5*a = 5*n - 70, f*a + 22 = n. Find the common denominator of n and 91/24.
24
Let i(v) = v**2 + v - 1. Let r(b) = 3*b**2 - 13. Let j(q) = 2*i(q) - r(q). Calculate the smallest common multiple of 1 and j(0).
11
Suppose 39 = 2*u + 3*n, -64 = -5*u + 4*n - 24. What is the smallest common multiple of 150 and u?
300
Let h = 3374757 + -60770623/18. Let a = -1387 - h. Let f = 20213 + -404163/20. What is the common denominator of a and f?
180
Calculate the common denominator of -55/3 and 1 + 5/(-35) + 1865/(-4095).
117
Let x be 7/28 + 71667/68530. Let o = x - 1/3115. Let u = -16/31 - 2811/620. What is the common denominator of u and o?
220
Suppose -20*o = -531 - 449. Calculate the smallest common multiple of o and 63.
441
Let r = 8/123 + 392/697. Find the common denominator of 143/18 and r.
306
Suppose -3 = -0*h + h. Find the common denominator of (-724)/(-80) + ((-5)/(-4) - 2) and 3/h*2*8.
10
Let w(v) = -3*v**2 + 11*v - 4. Let a be w(3). What is the common denominator of 79/12 and (a/(-5)*-5)/32?
48
Suppose 2*d + 2*d + 960 = 0. What is the lowest common multiple of 0 - 0 - d/15 and 14?
112
Suppose 4*s = 2*o - 18, -4*s + 8 + 16 = 4*o. Calculate the least common multiple of 3 and 2/3*(0/o + 15).
30
Let d = -123 - -127. What is the common denominator of (-1378)/117*2/d and -41/32?
288
Let a = -641063/44 - -14571. What is the common denominator of a and 20/9?
396
Suppose b - 2*c - 24 = 0, -3*b + c = -3*c - 62. Calculate the smallest common multiple of b and 6.
42
Let j be (-390)/12*6/(-5). Suppose 4*t + 5 = -j. What is the least common multiple of (t/(-1))/(2 - 1) and 11?
11
What is the common denominator of 51/4 and ((-2291)/632)/(854/12)?
1708
Let s = -2 - 0. Calculate the common denominator of 3/(-3) + (-99)/(-21) and s.
7
Let k = 37 - 32. Suppose 6*f - k = 5*v + f, v + 7 = 3*f. Calculate the least common multiple of v and 6.
6
Suppose -a + 2736 = -5*a - g, 0 = -4*g. Let d = 6194/9 + a. Let f = 7430 + -74207/10. Calculate the common denominator of f and d.
90
Suppose 8 = s - 0*s. Let d = s + -4. Let u = 5 + d. Calculate the smallest common multiple of u and 10.
90
Suppose 0 = 3*x + 2*n - 209 - 16, -x + 2*n + 67 = 0. Suppose 0 = -p + 2*r + 26, 3*p + 0 - x = 5*r. Calculate the least common multiple of p and 28.
112
Let f(j) = 3*j - 3. Let l be f(1). Suppose -8*v + 5*v + 27 = l. Suppose -v*o = -11*o + 62. Calculate the lowest common multiple of 5 and o.
155
What is the lowest common multiple of 14 and 5 + 0 - 2 - -3 - -141?
294
Suppose -2 = -5*w + 88. What is the smallest common multiple of 27 and w?
54
Calculate the lowest common multiple of (-44)/(-33) + (-224)/(-12) and 1134.
11340
Let n = -2002 - -587. Calculate the common denominator of (2/(-60))/(3 - n/(-470)) and 73/15.
15
Let t = 523 + -511. What is the lowest common multiple of t and 51?
204
Let i = 409205/58 + -7054. What is the common denominator of i and 79/4?
116
Suppose 0 = 10*c - 8*c - 280. Let l = 7164 + -157501/22. What is the common denominator of (-1262)/c + 2/(-7) and l?
110
Let c = -1894/41 - -455831/9840. Calculate the common denominator of 