256/3 - -86. Let h = 8414/3 + -2798. Find the common denominator of h and m.
3
Let k = 12 - 7. Suppose 4*f - 2*a - 20 = 70, k*f = 2*a + 110. Let j = 25 - 21. Calculate the lowest common multiple of j and f.
20
Let t = -65 - -68. Suppose s - 5*p - 2 = 2, -12 = -t*s - 5*p. What is the lowest common multiple of s and 7?
28
Suppose 0 = -4*y - 3*o + 8, 2*y + 4*o = -1 + 5. Suppose 4*w = 5*w + y. What is the common denominator of -17/5 and 19/((-9)/(-2) + w)?
5
Let h = -4387/174 - -98/29. Let d be 31957/20*(-4)/(-14). Let n = d - 3153/7. Find the common denominator of n and h.
30
Suppose 104*g - 286 = 102*g. What is the smallest common multiple of g and 22?
286
Suppose 12*d = 4*d + 8304. Let l = d - 5167/5. What is the common denominator of l and 93/10?
10
Let h be 2*-3*(-2)/6. Let f = 1 + h. Find the common denominator of (-6)/f*86/20 and 43/6.
30
Let b be (-3 - 46/(-6))/(64/55356). Let m = b - 4027. What is the common denominator of m and 5/9?
72
Let j = 121781249/366 + -332736. Find the common denominator of j and -49/12.
732
Suppose -3 = -m - 2. Find the common denominator of -2*(m + (-100)/(-112)) and ((-2)/5)/(8/238).
70
Suppose 12*z - 577 = 911. Calculate the least common multiple of 4 and z.
124
Let r be 3/4*(8 - 4). Suppose -5243 = r*t + 4*a, -8 = 4*a + 12. Let v = 12226/7 + t. What is the common denominator of -52/9 and v?
63
Let h = -119467/14 - -8539. Calculate the common denominator of h and (-3 - (-199)/3)*(-4)/(-48).
126
Let t(l) = 9*l**2 - 3*l. Let w be t(2). Let a be w*(1 + (-8)/12). Suppose -a*p + 5*p = -50. Calculate the least common multiple of 1 and p.
10
What is the common denominator of (2/(-4))/((8/21)/8) and -77/20?
20
Let t = -119 - -121. Let n(x) = -x**2 - 8*x - 5. Let m be n(-4). Let s = m - 9. Calculate the smallest common multiple of t and s.
2
Suppose -2*m + 368 = 7*u - 3*u, 273 = 3*u + 3*m. Calculate the least common multiple of 30 and u.
930
Suppose 52 = z + 2*z + 5*n, -5*z = n - 72. Calculate the smallest common multiple of 10 and z.
70
Let o = 280233623/1148 - 244106. Find the common denominator of o and -67/20.
5740
Suppose 0 = 3*n - 86 - 82. What is the lowest common multiple of 8 and n?
56
Suppose 21 = 5*w - 0*w + 2*q, 0 = 5*q + 10. Suppose 0 = 4*p - w*p + 14. Let x = p + -8. What is the smallest common multiple of x and 18?
18
Let h = -32 + 42. Suppose h*f + 32 = 6*f. Find the common denominator of 12 and (-18)/(-20) + (-24)/f.
10
Let u = 1360 - 1356. Calculate the least common multiple of 254 and u.
508
Let d(t) be the second derivative of 3*t**5/20 - t**3/3 + t. What is the lowest common multiple of (1600/1100)/((-2)/(-22)) and d(2)?
80
Let s(h) = -h - 14. Let x(t) = -t - 14. Let f(r) = 2*s(r) - 3*x(r). What is the lowest common multiple of f(8) and 2?
22
What is the common denominator of ((-356)/32 + -5)/(702/(-24)) and -47/42?
546
Let l be -24*1/(-2)*-1. What is the smallest common multiple of 8 and l/(-5)*(-20)/(-6)?
8
Suppose 749 = 23*t + 289. Calculate the least common multiple of t and 25.
100
Find the common denominator of ((-5)/300)/(66/(-1752)) and -65/27.
1485
Suppose -6 = -5*w + 9. Suppose 0 = w*s + 15, -x - 4 = 2*x - s. Calculate the smallest common multiple of 3 and -5 + 9 - x/1.
21
Let b = 3 + 7. Suppose -4*n = -3*k + 38, -3*n = -5*k - 5*n + 98. Let a = 6 + k. Calculate the lowest common multiple of a and b.
120
Suppose j - 16 = -2*l, -75 = -3*j - 2*j - 5*l. Let n = -22 - -42. What is the smallest common multiple of n and j?
140
Let a = 39 - 15. What is the lowest common multiple of a/(-30) - (-38)/10 and 11?
33
Let b = -154931/54360 + 1/10872. Find the common denominator of b and -137/330.
660
Let c = 65 + -60. Calculate the common denominator of -41/6 and ((-50)/(-6))/(-5*c/(-150)).
6
Let c be ((-3 + 3)/4)/(-1). Suppose c*v = v + o - 15, 3*o = 4*v - 39. Find the common denominator of (v/16)/(57/78) and -23/18.
342
Let y = -2889/16 - -363/2. What is the common denominator of y and (-62)/8*(17 + -20)?
16
Suppose 0*b + 24 = 6*b. What is the lowest common multiple of b and (4/6)/((-6)/(-36))?
4
Let k(y) = -5*y - 8. Let j be k(-2). Suppose 7 = -j*o + 57. Calculate the smallest common multiple of o and 5.
25
Calculate the least common multiple of 55 and ((-3)/(-9))/((-2)/(-11*18)).
165
Let w be (5 + 21/(-9))*(-198)/(-8). Suppose -2*x + 195 = n + 3*x, -2*x = -2. What is the common denominator of -59/6 and (w/275)/(16/n)?
60
Let c = 14/613 - 66901/3678. What is the common denominator of c and -50/23?
138
Let j = 37240 - 1117081/30. What is the common denominator of 52/25 and j?
150
What is the common denominator of (4/25)/((-6)/105) and (-36)/42*2/(4/2)?
35
Calculate the smallest common multiple of ((-2)/4)/((-14)/280) and 36.
180
Suppose 0*l = -4*l + 16. Find the common denominator of (-50)/l + 1/(-1) + 1 and 35.
2
Suppose 0 = 7*m - 2*m - 15. Suppose 27242 + 13396 = -m*t. Let g = t - -677273/50. What is the common denominator of g and 113/18?
450
Let r be 24/(-16)*(-8)/3. Suppose -2*f - 5*p = 24, -3*f - r*p - p = 46. Calculate the common denominator of 101/10 and 265/176 + (-4)/f.
80
Let x be ((-18771)/84 + 8)*(-1)/(-15). Let h = -4/35 - x. Calculate the common denominator of h and -37/36.
36
Let u = -30282833/198 + 152944. Calculate the common denominator of -41/12 and u.
396
Suppose 7*l - 4*l - 63 = 0. Suppose 100 = -h + l. Let d = h - -115. Calculate the lowest common multiple of d and 16.
144
Let j(a) = -1. Let z(o) = -32*o - 1. Let y(n) = -3*j(n) - z(n). Let x be y(4). Find the common denominator of 23/11 and 9/(-15) + x/20.
11
Suppose -r = -i - 97, -8*r + 3*r + 503 = i. What is the lowest common multiple of 150 and r?
300
Let q be 179 - -3 - (2 + -1 + 1). Let u = -7237/6996 + -7/636. Find the common denominator of u and (-970)/q - 0/(1 - -2).
198
Suppose r - 1 = 4*i, -2*r + 2*i + 8 = -0. What is the smallest common multiple of 40 and r?
40
Let j(s) = s + 13. Let z be j(11). Suppose r = 5*r - z. Let t = r - -10. What is the lowest common multiple of t and 14?
112
Let v be -3 - (-58934)/(-12) - -2. Let a = v + 4931. Let j = -9627 - -96389/10. Calculate the common denominator of a and j.
30
Let l be 90/12*8/6. Suppose 0 = -2*j - 110 - l. Find the common denominator of -3 - (4 + (-85)/j) and -37/22.
132
Let b = -39305/15216 - 1/5072. What is the common denominator of b and 37/6?
12
Find the common denominator of 73/21 and 278/20 - (-166 + 168).
210
Suppose -2*j + 17 = 5*n - 25, 3*j + n - 37 = 0. What is the smallest common multiple of j and (-435)/(-10) + 2/(-4)?
473
Calculate the common denominator of 22/113 and -1 + (-3949)/440 + 2/(-16).
1130
Let u = -16 - -9. Let f = 15 + u. Let r(h) = h**2 + 2*h - 18. What is the lowest common multiple of r(4) and f?
24
Suppose 2*h - 5*h + 5*k = -120, 0 = 4*k. What is the smallest common multiple of 48 and h?
240
Let y(z) = -z**2 - 8*z - 5. Let a be y(-7). Suppose a*s = -2*u + 10, 4*u + 4 = 2*s + 3*u. What is the least common multiple of (-2)/(-17) + 168/17 and s?
30
Let u = 7957/4386 + 5/129. Find the common denominator of -97/24 and u.
408
What is the least common multiple of (16/8 - 1) + (-4 - -20) and 24?
408
Let y = -791/3 - -22952/87. Let x = -191901/52606 + -98/2721. Let b = x - y. What is the common denominator of 107/18 and b?
18
Suppose 21*m + 200 = 31*m. What is the smallest common multiple of m and 12?
60
Suppose 2*k - 445 = -5*q, 3*k = 2*k + 2*q + 200. Suppose -3*u - 54 = -k. What is the lowest common multiple of u and 22?
572
Suppose 14*z - 15 - 97 = 0. What is the least common multiple of z and 81?
648
Let b(w) = -w**2 + 6*w - 5. Let j be b(4). Calculate the lowest common multiple of 20/j + (-4)/6 and (-147)/(-30)*8 - (-72)/90.
120
Suppose -3*z = -z + 10. What is the smallest common multiple of 22 and (32/20 - 0)/((-2)/z)?
44
Suppose 0 = 16*b - 14*b. Suppose n - 2*n + 4 = b. Suppose -4*w = -5*w + n. Calculate the lowest common multiple of w and 6.
12
Let p be (-2 + 2 + -2)/(-1). Suppose 2*g - 598 = 2*t - 2*g, -p*g = -4. What is the common denominator of 39/23 and (-3)/4*t/30?
184
Let y(d) = d**3 + 6*d**2 - 3*d - 14. Let r be y(-6). Suppose -r*t = -5*o - 36, 3*t - 11 = 1. Find the common denominator of -93/16 and 7455/(-1200) + o/(-10).
16
Let o = -4703 - -117612/25. Find the common denominator of o and -71/10.
50
Suppose -14*i + 35 = -7*i. C