et f be 1/3 - 52966/(-5988). Let c = f - 6/499. Find the common denominator of ((-2)/(-12))/(10/(-258)) and c.
30
Suppose -5*q + 4 + 6 = 0. Let r be (-3)/(-1) + 0 + -1. Suppose -r*l = w - 2, -q*l = w + 3*w - 20. What is the smallest common multiple of 4 and w?
12
Let t(c) = c**3 + 8*c**2 - 10*c - 11. Let v = 12 + -21. Let i be t(v). What is the least common multiple of 6 and (-34)/(-6) - i/6?
6
What is the common denominator of 6/60 + (-1383)/(-120) and -22?
8
Let p be 6774/(-2259) + 0 + 3. Let n = p + -4937/502. What is the common denominator of n and -14/9?
18
Find the common denominator of 65/2 and (-4)/(1080/1074) - (-1)/5.
18
Let a(l) = 3*l + 1. Suppose -3*f = w - 0*w - 12, w - 15 = -4*f. Suppose -w*s - 5 = -47. What is the lowest common multiple of a(5) and s?
112
Suppose 0 = -4*q + 5*b - 2, -2*q = -3*b - 1 + 3. Suppose 5*v = -q*k - 23, 3*v - 5 = 5*k + 6. What is the common denominator of -22 - -3*v/36 and 59/5?
20
Calculate the common denominator of -41/10 and 3 + -2*172/72.
90
Let y = 34637/55269 - -6/2047. Find the common denominator of 47/18 and y.
54
Suppose 0*r - 2*r - 64 = 0. Calculate the common denominator of (42/r)/((-3)/12) and 6/(-10)*(189/(-12))/3.
20
Let y = 110 - 103. Calculate the smallest common multiple of 3 and y.
21
Let o = -1032 - -5138/5. Suppose -86 = t - 4*f, 2*t = -0*t - 3*f - 194. Find the common denominator of o and (-6)/(-80)*(t + 2).
10
Let f be (-2258556)/(-486864) - 2/8. Let r = f - 1/10143. Calculate the common denominator of -61/10 and r.
90
Let r = -1746 + 27877/16. Find the common denominator of -109/12 and r.
48
Let t = -3 - -7. Suppose -p - 2 = -x, t*p + 7 = 4*x + p. Calculate the smallest common multiple of 10 and x.
10
Let j be 2 - -6*(-1)/3. Suppose 2*l - 6 = -0. Suppose -l*m + j*m = -12. Calculate the lowest common multiple of m and 1.
4
Let q = 7/25 - -228/25. Find the common denominator of 87/8 and q.
40
Let n(j) = -15*j**2 + j - 15. Let h(m) = 7*m**2 + 7. Let q(c) = 13*h(c) + 6*n(c). Let w be q(-7). Calculate the common denominator of 87/w + -5 + 3 and -85/8.
8
Suppose -h = 2*h - 282. Find the common denominator of 238/48 + 4/6 and ((-9)/6)/((-42)/h).
56
Suppose -55 = 5*u - 5. Find the common denominator of 53/18 and ((-22)/4)/(u - -6).
72
Suppose -4 + 0 = -4*z. What is the smallest common multiple of z and 5?
5
Let b be (-14 + 2)*69/(-6). Suppose 24 = -4*d + d. What is the common denominator of (-4)/d - b/21 and 53/6?
42
Let p(j) = j**2 + 2*j - 5. Let b be p(-6). Suppose 5*l - 20 = 0, -2*l - 1 = 5*x - b. What is the lowest common multiple of 9 and (x/(-4))/(2/(-4))?
9
Suppose -53*u - 15 = -54*u. What is the least common multiple of 6 and u?
30
Let d = -17241/11 - -1569. What is the common denominator of d and -39/7?
77
Let l = 57891/28220 + -2/1411. Calculate the common denominator of l and 2/(-5) + (-1010)/(-150).
60
Suppose k = 5*k + 100. Calculate the common denominator of 38 and k.
1
Suppose 4*n - n = 27. Suppose 5*c - 1 = 4. What is the least common multiple of n and c?
9
Suppose o - 2 + 12 = 3*r, 35 = 3*o + 4*r. What is the least common multiple of ((2 - -10) + -1)*15/15 and o?
55
Suppose m - 5 = -3*d, -2*d - 15 = -5*m - 7*d. What is the smallest common multiple of m and 84?
84
Let w(q) = 37*q**2 - 3*q - 1. Let y be w(-4). What is the common denominator of (-1)/(-4) + y/216 and 23/18?
72
Suppose 81 = 5*c - r - 6, 0 = -c - 5*r + 33. What is the smallest common multiple of (-12 - -2)/((-1)/2) and c?
180
Suppose 0 = l - 3, -6*u + 5757 = -3*u + 5*l. Let s = u - 19157/10. Find the common denominator of -21/8 and s.
40
Let d(i) = i**2 - i + 16. Suppose 0 = -53*l + 51*l + 20. What is the lowest common multiple of l and d(0)?
80
Let n = 15465 + -29619. Let h = n + 198061/14. What is the common denominator of -7/10 and h?
70
What is the common denominator of 1/3 and (178/(-90) + 2)/((-6)/(-2235))?
18
What is the common denominator of ((-3)/4)/(12/664) and 49/22?
22
Let w = -3 - -3. Let j = -146/253 + 99/23. What is the common denominator of 30/21 + (w - 0) and j?
77
Let v = 48 + -46. Let o = -10 - -16. What is the least common multiple of v and o?
6
Suppose -5*b = -3*c - 68, 4*c = -c - 5. Calculate the lowest common multiple of b and 11.
143
Let r = -5384 + 14432. Let k = r - 144673/16. What is the common denominator of k and -61/16?
16
Calculate the common denominator of 81/6 + (-2)/(-8) and -91/20.
20
Suppose 4*s = 23 + 9. What is the least common multiple of 1 and s?
8
Suppose -4*g + 0 + 4 = 0. Let s(z) = -7*z**2 + 1. Let f be s(g). Find the common denominator of 28/9 and (-215)/(-10)*(-4)/f.
9
Suppose -3*k = -2*g + 24, 3*k = -0*k + 4*g - 24. Let r be (k - -6)*59/(-40). Let u = 7/4 - r. Calculate the common denominator of u and -45/4.
20
What is the common denominator of 4/26 + (-75)/(-78) and 13 + -13 - 46/(-10)?
130
Let j be (-5)/2*200/(-76). Let c = j + -31/152. Calculate the common denominator of c and ((-1)/(-10))/(12/(-130)).
24
Suppose -45 = 4*b - 661. Let z = b + -275/2. What is the common denominator of 106/(-16) + 2/(-2) and z?
8
Suppose 5*i - 5*d - 6 + 26 = 0, 3*d - 18 = 5*i. Calculate the common denominator of -145/6 and i/15 + (-154)/(-120).
12
Let c = 28432 + -252068/9. Let i = c + -429. Calculate the common denominator of i and 28/(-5) + 1 + 1.
45
Suppose -2*p = -5*j - 51, -2*p - j - j = -30. Suppose 35 = 12*h - 13. Calculate the least common multiple of h and p.
36
Let v = 1592 - 63663/40. What is the common denominator of -77/4 and v?
40
Let s = 8 + -8. Suppose s = -2*p + 3*p + 4*k - 16, 5*p + 5*k - 50 = 0. What is the smallest common multiple of 12 and p?
24
Suppose 0 = 2*r + 5*x - 12, x = -0 + 2. Calculate the common denominator of 5/11 and -2 - r - 378/12.
22
Suppose 11 = t + 6. What is the least common multiple of t and 4?
20
Let y = 271/40 + -79/8. Calculate the common denominator of y and ((-106)/42)/((-8)/12).
70
Suppose -35 = -4*u + d, 0 = -4*d - 18 + 6. Let f(y) = -55*y - 5. Let c be f(-5). What is the least common multiple of c/35 - (-2)/7 and u?
8
Let f be (2/5)/(2/(-670)). Let p(h) = h**3 + 3*h**2 + 3*h + 2. Let x be p(-2). What is the common denominator of 69/4 and f/(-32) + -2 - x?
16
Let j = -132 + 188. Let v = 37/167 + 15977/1002. What is the common denominator of 1/(-5)*(-460)/j and v?
42
Let h = 7593 - 167015/22. What is the common denominator of 77/16 and h?
176
Suppose -3*r + 0*r - 4 = 2*q, 0 = -5*q - 25. Suppose 10 = -3*s + 37. Let b(k) = k**2 - 10*k + 11. Calculate the least common multiple of b(s) and r.
2
Let f = 4 + -1. Let y = -16 + 23. Calculate the least common multiple of y and f.
21
Suppose 27*a - 31*a + 56 = 0. Calculate the smallest common multiple of a and 20.
140
Let v(z) = z**2 + z - 2. Calculate the smallest common multiple of v(2) and 2*-2*(-21)/12.
28
Let g be 2/(-7) + (-290)/(-35). Let w(c) = -c**3 + 8*c**2 + c - 7. Calculate the lowest common multiple of w(g) and 1.
1
Let l(k) = 20*k - 49. Let z(y) = -7*y + 16. Let a(d) = 4*l(d) + 11*z(d). Calculate the least common multiple of a(10) and 12.
60
Suppose 3*x - 2*t + 8 = 0, 4*x - 3*t + 0 = -11. Calculate the smallest common multiple of 22 and 24*(2 - (-3)/x).
132
Suppose 3*n - a = -1, 0*n + n + 2*a = 9. Calculate the common denominator of n - (412/72 + 2) and -97/12.
36
Suppose 5*o = o, -3*o = 2*s - 8. Let p = s - 4. Suppose 5*g = 90 - p. Calculate the least common multiple of g and 18.
18
Let j(a) be the first derivative of -a**3/3 - 5*a**2/2 + 5*a + 3. Let i be j(-6). Find the common denominator of 15/4 and (7/(-8))/i*6.
4
Let v(x) be the first derivative of -x**2/2 - 4*x - 3. Suppose -17 = -2*a - 7. What is the lowest common multiple of v(-6) and a?
10
What is the common denominator of -127/18 and (65/(-50))/(24/(-45))?
144
Let t = 12 - 11. What is the common denominator of 1 + (-83)/28 + t and -23/16?
112
Calculate the common denominator of -52/3 and 1149/(-180) + (-4)/20.
12
What is the common denominator of 37/16 and 1 + 0 + (-295)/30?
48
Suppose -l - 3 = b, 0 = b + 2*b - 3. Let m(q) = -q**3 - 4*q**2 - 2*q - 6. Let u be m(l). Suppose 42 - u = 5*c. Calculate the lowest common multiple of 16 and c.
16
Let p = -1118479/52 - -21511. Find the common denominator of p and 109/10.
260
Let r(a) = -a**2 + 3*a**2 - a**2 - 16 - 5*a. Calculate the least common multiple of r(8) and 1.
8
Let c 