344
Calculate the common denominator of (-230)/(-16)*(-2)/5 and (-9)/(-33)*53/6.
44
Let i = -11703/4879 + 30/287. Let d = -65/8 + 4. Find the common denominator of i and d.
136
Let j = 5597/10 + -2817/5. What is the common denominator of (-14)/(-260) - (-4)/(-10) and j?
130
Let i be (125 + 7)*(-2)/(-6). Let v = -23 + i. Find the common denominator of -51/2 and v.
2
Suppose 47 = 3*n - 49. Suppose -23 = -5*v + 5*m + 2, -2*v + 4*m = 0. What is the least common multiple of v and n?
160
Let g(m) = m**3 - 14*m**2 + 11*m + 24. Let t be g(13). Calculate the least common multiple of 9 and 3 + -6 + 12 + (1 - t).
36
What is the common denominator of (2/8)/(3000/(-3975)) and -87/14?
1120
Let x = -883 + 891. Suppose t = 2*p + 5, 5*t + 0*p - 4*p = 43. Calculate the lowest common multiple of x and t.
88
Suppose -2*r - 4*m + 4 = 0, 2*m = -r + 7*m + 2. Suppose r*j = -3*j + 10. Suppose -j*v + 230 = -7*v. Calculate the common denominator of v and -117/10.
10
Suppose 12*m - 2 - 22 = 0. Suppose 4*q = 4*a - m - 42, -2*a = -4*q - 26. What is the smallest common multiple of 7 and a?
63
Let a = 1489/2 - 718. Let p = 1872 + -28096/15. Calculate the common denominator of p and a.
30
Let h = 41 + -9. What is the common denominator of 2/h*(-300)/(-9) and (-49)/12*(-5)/5?
12
Let i = -241 - -2670/11. Suppose 2 = s, 4*s - 114 = 3*x + s. Find the common denominator of (-8)/x - (-101)/18 and i.
66
Suppose -y - 9*y + 920 = 0. What is the lowest common multiple of 40 and y?
920
Let a = 7351/8 - 507031/552. What is the common denominator of (5/2)/(4 - 140/34) and a?
276
Suppose 0 = p - 1 + 3. Calculate the common denominator of 23/8 and p - 4/((-480)/278).
120
Let l(p) = p - 14. Let v be l(20). Calculate the common denominator of (v/304)/(18/732) and -5/16.
304
Calculate the common denominator of -47 - -51 - (-6)/4 and ((-92)/6)/(44/(-6)).
22
Suppose -1 = -9*n - 1. Suppose n = i + 6*i - 21. What is the lowest common multiple of i and 5?
15
Let m = 1285194 + -30838955/24. Let q = 689/3 - m. What is the common denominator of ((-623)/21)/(2/3) and q?
8
Suppose -4*m = -2*i + 4 + 10, 5*i + 5 = 0. Find the common denominator of 1448/880 - 28/(-70) and m/(-6) - 230/(-96).
176
Suppose -4*o - u + 42 = 0, -3*o - 3*u + 32 = -2*u. What is the smallest common multiple of o and 59?
590
Let q be (4/5)/((-36)/(-270)). Calculate the common denominator of ((-9)/60)/(3/118) and 173/q + -4 + 17/3.
10
Suppose -2*c - 5*k - 3 + 26 = 0, 2*c + 4*k - 20 = 0. Let f(y) = -4*y + 2. Let p be f(c). Find the common denominator of 6/6 - (-11)/p and -47/6.
42
Let y(x) = -8*x**2 - 56*x + 8. Let d(p) = 3*p**3 - 2*p**2 + p. Calculate the smallest common multiple of d(1) and y(-7).
8
Let v(p) = p**2 - 5*p + 10. Let l be v(4). Let d be 3/l + 803/150. Let a = -123/100 - d. What is the common denominator of a and -107/14?
84
What is the lowest common multiple of ((-18)/(-21))/((-1347)/(-168) + -8) and 42?
336
Suppose 988*y = 980*y + 1272. What is the lowest common multiple of y and 24?
1272
Let g = 4621 + -46249/10. What is the common denominator of 707/(-70)*(-1)/1 and g?
10
Let l(a) be the second derivative of a**3/2 + 11*a**2 - 3*a. What is the lowest common multiple of 40 and l(-6)?
40
Let a = 85 - 77. Suppose 0 = -3*z - a + 47. Calculate the lowest common multiple of z and 1.
13
Calculate the common denominator of 31/36 and 7803/(-4760) + 2/(-7).
360
Suppose -3*r = 42 - 0. Calculate the common denominator of 101/20 and (12/r)/(44/(-319)).
140
Let q(v) = v**2 + 10*v + 25. Let r(p) = -p**2 - 10*p + 1. What is the least common multiple of q(-3) and r(-7)?
44
Suppose 0*q = -2*q - 6, -4*n - 4*q + 16 = 0. Calculate the smallest common multiple of n and (40/24)/(0 - (-15)/18).
14
Suppose 23*a + 28*a - 7344 = 0. Calculate the lowest common multiple of a and 144.
144
Suppose 13*t = 780 + 1040. Calculate the lowest common multiple of 5 and t.
140
Suppose 8 = -2*z + 20. Calculate the common denominator of -179/30 and 134/(-6)*z/(-42).
210
Let v(p) = 2*p**2 - 21*p + 55. Suppose 3*w + 13 = -2*y + 52, -2*y - 5*w = -49. What is the lowest common multiple of v(7) and y?
12
Let s = -2072 + 2079. What is the least common multiple of s and 191?
1337
Let v = -1298 + 1308. What is the smallest common multiple of v and 600?
600
Suppose 20 + 80 = 5*g. What is the smallest common multiple of g and 7*1 + -38 + 35?
20
Suppose -2*l = 4 + 2, 3*c - 12 = 5*l. Find the common denominator of -67/12 and ((-3332)/(-24))/(-7) + c.
12
Find the common denominator of -41/6 and 503/(-30) - (456/(-60) + 8).
6
What is the common denominator of 5/2 and (-18)/(-8)*((-198)/(-96))/(-11)?
64
What is the common denominator of 3 + 7845/280*3/(-30) and -127/120?
1680
Let d(n) = 4*n**2 - 3*n + 3. Let c be d(-3). Suppose -612 = -5*r + r. What is the common denominator of -97/8 and (-20)/c*r/(-12)?
16
Let u be 76966/8247 + (-3)/(-9). Let q = u + 2/2749. Calculate the common denominator of (2/10)/(1/31) and q.
15
Let w = 105 + -67. Let g(m) = -m**2 + 15*m + 140. Calculate the lowest common multiple of g(-6) and w.
266
Suppose 0 = 5*j - 111 + 11. Suppose -63*m + j = -61*m. Calculate the lowest common multiple of 3 and m.
30
Let u = 26465/334 - 35/501. Let z = 79 - u. Calculate the common denominator of 6/9 - (-286)/(-60) and z.
30
Let m = -43429729/180 + 241272. Let p = m - -154/45. Calculate the common denominator of p and (483/(-24) - -1)/6.
80
Suppose 22*t - 15*t = -2268. What is the common denominator of 23/5 and (t/(-224))/((-1)/(-4))?
70
Let j = -2980 + 146015/49. What is the common denominator of 65/14 and j?
98
Calculate the lowest common multiple of (-2 - (-6)/4)*-2 and (4/4)/(6/(-78))*-1.
13
Let m(a) = -a**3 + 12*a**2 - 12*a + 22. Let c be 1/(-3)*(-2 - 1). Suppose -9 = 3*k, 3*k - c = -5*b + 3*b. What is the smallest common multiple of m(11) and b?
55
Suppose 2*f + 5*n = -110, f + n - 62 = 2*f. Find the common denominator of (-2)/(-5) - 93/f and 81/68.
340
What is the smallest common multiple of 504 and 12/(-18) + (-124)/(-6) + -8?
504
Let w be ((-221)/68)/(2/(-8)). Let k = w + -2. Let v(r) = r**3 - 7*r**2 + 2*r - 9. What is the smallest common multiple of v(7) and k?
55
Let v be -1*811 + (-4)/(-1). Calculate the smallest common multiple of v/(-15) + 1/5 and 14.
378
Let g(u) = u**2 + 4*u - 33. Let h be g(-8). Find the common denominator of -145/6 and (-6 - h - -5) + 38/(-72).
36
Let n(a) = 53*a + 5. Calculate the least common multiple of 8 and n(1).
232
Let b(n) be the third derivative of n**4/8 - 7*n**3/6 + 12*n**2. Let i be b(5). Find the common denominator of 9/66*(-216)/i and -67/8.
88
Suppose 31*z - 26*z - 25 = -4*f, 5*f = 2*z + 56. Let s be 2/(-4) - 41/(-2). Suppose p - s = -p. What is the smallest common multiple of f and p?
10
Let p = 20 - 18. Suppose 4*w = -5*l + 8 - 1, 2*w = -p*l + 6. What is the least common multiple of w and 14?
56
Suppose -8 = 3*f - 4*v + 13, 3*f = 3*v - 18. Let c(d) = -6*d + 6. Calculate the least common multiple of 15 and c(f).
120
Let v = -6250035927/675056 + -765/42191. Let a = -9254 - v. What is the common denominator of 35/16 and a?
16
Let x = 93 + -85. Calculate the least common multiple of x and 56.
56
Let f be 1/595*((-100084)/48 - 7). Let r = f + 115/84. What is the common denominator of r and -16/3?
102
Suppose b = -4 + 29. What is the smallest common multiple of 20 and b?
100
What is the common denominator of 21/92 and 7*4/(-24)*10?
276
Let h be (1 + 0)*(-6)/(-2). Suppose -h*d = -d - 14. What is the common denominator of d + -6 - 122/32 and -65/16?
16
Let u = -591 - -307. Let w = -1685/6 - u. What is the common denominator of w and -11/3?
6
Suppose 2*g = -5*y - 14, -2*y + 7*y = g + 22. Calculate the common denominator of 1/4*4/(-8)*67 and 106/(-3)*g/(-32).
8
Let p = -58/69 + -2621/138. Calculate the common denominator of p and 11/12.
12
Calculate the least common multiple of 0 + 4 - (3 - 6 - 149) and 5.
780
Let j = 2155/34 - 131/2. What is the common denominator of j and -19/7?
119
Let n = -7 + 14. Suppose -11*b + 88 = -n*b. What is the lowest common multiple of b and 32?
352
Calculate the common denominator of ((-40)/(-45))/(-4)*(-156)/288 and 1/162.
324
Let a = 123146/101541 - 2/3077. What is the common denominator of 42/55 and a?
165
Let v = 265 + -230. Calculate the lowest common multiple of v and 45.
315
Let