8946. Let f = 16927/36792 + -8/4599. Calculate the common denominator of f and r.
48
Suppose 2*h - 2*w = 530, 3*h + 4*w = 3*w + 815. Let n = -135 + h. Calculate the lowest common multiple of n and 2.
270
What is the common denominator of -2 + (-3)/(-2) + (-959)/210 and -107/102?
510
Let q = 20283 - 19275. Calculate the lowest common multiple of q and 1248.
26208
Suppose 42*u = 40*u + 104. Suppose -u = 6*v + 44. What is the common denominator of (6/v)/((-6)/388) and 131/48?
48
Suppose 4*i - 1 = -5*a + 7, -2*a + 5*i - 10 = 0. Suppose -2*w + w + 22 = a. Let f = 475 + -453. What is the least common multiple of w and f?
22
Suppose 0 = k - 5*l - 33, -k + 0*l + 2*l + 24 = 0. Let i = 15 + -9. Calculate the least common multiple of k and 1*(15/45 + 58/i).
90
Suppose 0 = -7*x + 9*x - 34. Let k = -131 + 74. Let t = 63 + k. What is the lowest common multiple of t and x?
102
Suppose 8 = 2*r + 2. Suppose 0 = r*y + 6. What is the lowest common multiple of 4 and 4/y - (-252)/9?
52
Find the common denominator of -7 - (0 + 1696/(-204)) and 18/17.
51
Suppose a + 0*a = -3. Let f(v) = 2*v**3 - 33*v**2 - 17*v + 6. Let c be f(17). What is the smallest common multiple of 28 and a/2 + 21/c?
28
Let p(z) = 2*z**2 + 2*z + 2. Let m be p(-1). Suppose -40 = -7*v + m*v. What is the least common multiple of v and 6/(-4) + 0 - (-186)/12?
56
Let k = -12 + 14. Let q be (-4)/(-10) + 5/((-150)/(-8178)). What is the common denominator of -3 + q/(-30) + k and 47/12?
60
Let p = 7706319/98 + -78635. Calculate the common denominator of -47/441 and p.
882
Calculate the lowest common multiple of 68 and ((-22)/66)/((-606)/(-306) + -2).
68
Let b be 335/196960*-5542 + 5. Let y = -14/1231 + b. What is the common denominator of y and -13/16?
16
Let l(d) = -d**3 + 3*d**2 + 2*d + 3. Let s(c) = 149*c - 3274. Calculate the smallest common multiple of s(22) and l(3).
36
Calculate the common denominator of -113/2562 and (153/3402 - (-2)/(-7))*(-118 - -111).
23058
Let d = -36 - -87. Let g = 73 - d. Let b = g - 6. Calculate the smallest common multiple of b and 30.
240
Suppose -9*p - 6*p = 1800. Calculate the common denominator of (10/p)/(2/214) and 2 + 1046/(-240) - -2.
120
Let g = -1166 - -1265. Calculate the least common multiple of g and 937/5 - 26/65.
1683
Suppose -4*m + 128 = 3*c + c, m - 2*c = 47. Calculate the least common multiple of (-3)/((-1)/((-6)/(-9))) and m + 24/(-4) - (-6)/2.
34
What is the lowest common multiple of (-12573)/(-762)*(-4)/3*-7 and 3500?
38500
Suppose 0 = -w + 5*k + 46, w - 5*k = -9*k + 28. Calculate the smallest common multiple of w and 354.
2124
Let s be (-32143)/2940 - ((-459)/(-36))/(-17). Let g = 5/294 - s. What is the common denominator of g and -59/2?
10
Suppose -1 = 4*n + 4*a + 3, -2*a + 7 = 5*n. Suppose 4*h - 4*u - 52 = u, 0 = n*h - u - 39. Suppose m - 5 - h = 0. What is the lowest common multiple of m and 20?
180
Suppose -25*j + 41*j - 19360 = 0. Calculate the lowest common multiple of 1 and j.
1210
Suppose -4032 = -35*p + 7*p. Calculate the lowest common multiple of p and 414.
3312
Let j = -505535 - -3025619/6. Let n = 1233 + j. Let h = -1621/51 - n. What is the common denominator of h and 56/5?
170
Let l = 9371996/189 + -49587. Calculate the common denominator of l and 56/2565.
17955
Suppose 62*f + 51 = -11. Find the common denominator of -67/112 and (-803)/(-99) - (-1)/(f/6).
1008
Let s(l) = -103*l - 3488. Calculate the lowest common multiple of s(-35) and 78.
234
Suppose 8*j - 3*j + 1050 = 0. Calculate the common denominator of 328/96 - (-1)/3 and 1463/j + (-2)/(-3).
20
Let u be ((-1)/(1 + 0))/(18/(-90)). Let i(k) = -u*k + 0*k + 9*k - 39. Calculate the smallest common multiple of i(10) and 10.
10
Let q = -761 - -760. Find the common denominator of -3 - (173/(-64) - q/4) and -95/72.
576
Let z(c) = -2*c**3 - 2*c + 2 - 6*c**2 + 4*c**3 + 7*c. Let p be z(3). Suppose -2*v + p = -21. Calculate the common denominator of v and -55/9.
9
Let i = -3369/5 + 671. Let t = -11/15 - i. What is the common denominator of -65/21 and t?
105
Let u be -8*(-3)/(-3 - -6). Let f(g) = 4*g**3 - 32*g**2 + 5*g - 7. Calculate the least common multiple of f(u) and 42.
462
Let j = -2601 + 28560/11. Find the common denominator of (-2680)/(-3036) + (-14)/(-483)*3 and j.
33
Let l = 2143 + -57886/27. Let o = l + 275/54. Calculate the common denominator of o and 103/60.
60
Suppose 0*v + 34*v - 17*v = 918. What is the lowest common multiple of 348 and v?
3132
Let p = -13169 + 14177. What is the least common multiple of p and 112?
1008
Let b(u) = u + 12. Let y(c) = c**2 - 8*c + 2. Let o be y(7). Suppose -385 = -76*d + 21*d. What is the least common multiple of d and b(o)?
7
Suppose 4*j + 3238 = 2*w, -4*j + 8067 = 32*w - 27*w. What is the least common multiple of 10 and w?
3230
Suppose -2*c = -4*q + 62 + 84, -3*q + 87 = 3*c. Let b be (1 + 3)*39/(-6). Let g = q + b. What is the lowest common multiple of g and 6?
24
Let b = 147872 - 28391563/192. Calculate the common denominator of b and 64/57.
3648
Let c be (-8361)/4095 - 4/(-2). Let u be (-7498)/(-2730) - 21/(-49). Let d = u + c. Find the common denominator of d and 65/3.
15
Let z = -9/1015 - 74813/33495. Let s = 1141795/321 - 3557. Let n = s - 1496/321. Calculate the common denominator of z and n.
33
Let a(t) = 1 - t**2 - 4 + 2*t**2 - t. Let b be ((-30)/90)/(3/27*1). Calculate the smallest common multiple of a(b) and 7.
63
Suppose f + 437 = -2*v, -872 = 4*v - 3*f + 7*f. Let o = 230 + v. Calculate the least common multiple of 80 and o.
880
What is the common denominator of 2*(10/40 - 10/(-44)) and 24/36 - (1887/900 + -2)?
1100
Let n = 90897/23620 - -2/1181. What is the common denominator of (-1910)/(-240) - (3 - -6) and n?
120
Suppose 44 = 5*k - 61. Suppose -32 + 8 = 3*m + 4*g, -4*g + 8 = -m. What is the smallest common multiple of k and (-39)/(-130)*m*(-15)/2?
126
Suppose -12182 = -9*q + 31648. Calculate the lowest common multiple of 1461 and q.
14610
Let u = 10 - 6. Suppose u*f - 5*g = -211, f + 0*f + 2*g + 69 = 0. Let o = f - -68. Calculate the smallest common multiple of 10 and o.
90
Let r(o) = o**3 - 4*o**2 - 12*o - 3. Let n be r(6). Let c be (2/((-16)/12))/(n/6). Calculate the common denominator of -87/20 and -4 - 5/c*(-18)/(-48).
40
Let o be (-5 - -4)*(-105 - (-2 - -4)). Let w = o + -56. Let l = w + -30. What is the lowest common multiple of l and 9?
63
Let b be (3 + -6)/(1/(-12)). Let o be 4 + 0/5 + b. What is the common denominator of (-18)/(-72) - 442/o and -73/2?
10
Suppose -126 + 306 = -10*m. Find the common denominator of ((-247)/(-114))/(16/m) and 95/36.
144
Let a(i) = 4*i**3 - 7*i**2 + i - 1. Let w be a(2). Calculate the smallest common multiple of 82 and 66/(-14) + w - (-26)/7.
164
Find the common denominator of (2244/(-1232))/(300/35) and -23/320.
320
Let g(i) = 1370*i**2 + 11*i - 17. Let t be g(-7). Let j = t - 7239797/108. Find the common denominator of 71/18 and j.
108
Suppose -4*l - 4*p = -32, l + 4*p + p + 24 = 0. What is the lowest common multiple of 2404 and l?
9616
What is the common denominator of 197/690 and ((-3)/(-10))/((-675)/(-10650))?
690
Let n be (-2)/80*368039 - 50/(-10). Let v = 9195 + n. Find the common denominator of 127/72 and v.
360
Let u = 4825 + -217114/45. Calculate the common denominator of -43/40 and u.
360
Let m = -4746639/28376348 - 1/53339. Calculate the common denominator of -49/228 and m.
1596
What is the smallest common multiple of (-4 + 9 + -16)/(-1) and 231?
231
Suppose 5*t + 7*p - 8*p - 387 = 0, 144 = 2*t - 4*p. Suppose -q = -2*q - 4*r + 12, t = 3*q - 2*r. Calculate the smallest common multiple of q and 6.
24
Let m(q) be the third derivative of -q**3 - 1/30*q**5 + 1/120*q**6 - 9*q**2 + 0 + 0*q - 1/6*q**4. Calculate the smallest common multiple of 14 and m(4).
70
Let k(r) = 9*r**2 - 7*r - 1. Let z be k(-5). Let i = -93 + z. What is the least common multiple of 30 and i/7 - (-8)/28?
120
Let r = 6751/5551 + -101/61. Let t = -1823/1456 - r. Let w = -45399/8 + 5682. Find the common denominator of t and w.
16
Let o = -2861453 + 5608447997/1960. Find the common denominator of o and -23/2695.
21560
Let c be (-12)/(-7)*(-378)/180*-5. Suppose 0 = 20*k - c*k - 32. Let l(x) = x**2 + x - 4. What is the least common multiple of l(4) and k?
16
Let j(y) = 215*y**3 + 6*y**2 + 12*y + 5. Let b be j(-2). Let k