).
20
Calculate the common denominator of 2 + (9/55)/((-4)/(-50)) and -61/10.
110
Let p = 6 + -11. Let i = -3 - p. Suppose 0 = -7*h + i*h - s + 36, h + 5*s + 12 = 0. Calculate the least common multiple of 10 and h.
40
Suppose 0 = 2*x + 14 - 2. Find the common denominator of -63/20 and (13/x)/((-10)/(-42)).
20
Let l = 12 - -4. Let x(z) = -z**3 + 7*z**2 + 11*z - 8. Calculate the smallest common multiple of x(8) and l.
16
Let d(v) = -v**3 - 6*v**2 - 4*v + 1. Let l be d(-5). Let w = -209 - -23. Find the common denominator of -83/8 and (-4)/(-24)*w/l.
8
Let z = 57 - 65. Suppose -a = -22 + 6. Let f = a + z. What is the smallest common multiple of 22 and f?
88
Let x = -12289/11 - -1122. Find the common denominator of x and 79/10.
110
What is the smallest common multiple of 10 and 1980/80 + (-6)/8?
120
Suppose 0 = 4*q - 3*d - 45, -3*d = 2*q + d - 28. What is the lowest common multiple of q and 20?
60
Suppose 4*f - 203 = 53. Let c be 1/4*(-3 - -141). Let b = f - c. What is the common denominator of 13/6 and b?
6
Suppose 4*b - 13 - 3 = 0. Suppose 0*l + 5*l = 2*d + 3, -b*d - 3*l = -33. What is the smallest common multiple of d and 11?
66
Suppose -4*o - 101 = -3*n, -140 = -4*n - o + 5*o. Calculate the lowest common multiple of n and 3.
39
Suppose 2*u - 5*t - 25 = 0, -3*u = 2*t - 0*t - 9. Suppose 3*j = u*j - 4. What is the common denominator of j - 1 - 276/(-16) and 40/9?
36
Let t be 6 + -2 + -1 - -93. What is the common denominator of (-900)/t - (0 - -1) and -59/6?
24
Let o = 98 + -70. Suppose 5*w - 2 - o = 0. What is the common denominator of 4/w - 22/(-4) and -63/4?
12
Let z be 4/14 + 80/14. Suppose 0 = -2*a + z*a - 144. Suppose 2*b - a = -2*b. What is the smallest common multiple of 10 and b?
90
Let u = -743 + 4315/6. Let k = 284 + -156. What is the common denominator of u and 2840/k*4/(-10)?
24
Let m be (-1)/(-3) - 9029/24. Let l = -373 - m. Let i = -1120/31 + 25911/682. Calculate the common denominator of i and l.
88
Let c(z) be the first derivative of -5*z**2 - 2*z - 4. What is the least common multiple of c(-2) and 4?
36
Suppose 4*n = 5*w + 5*n + 230, 131 = -3*w - 2*n. What is the common denominator of w and (-1 + 30)/(-3*1)?
3
Let v(k) = -2*k**3 - 3*k**2 + k. Let z be v(-3). What is the common denominator of (-311)/z - (-10)/30 and 73/6?
24
Suppose -3*d = -8*d + 61200. Let g be (-1)/2 + 18388/d. Let f = g - 8/153. Find the common denominator of -85/6 and f.
60
Let c(i) = -2*i. Let l = 8 - -6. What is the smallest common multiple of l and c(-8)?
112
Let u = 14 + -2. What is the lowest common multiple of u and 106?
636
Let u = -53/130 - -4293/2080. Find the common denominator of u and -26/7.
224
Let i = -699 + 2173/3. Find the common denominator of (-3)/(27/(-42)) + -1 and i.
3
Suppose 4*f - 4 = 20. Calculate the common denominator of 5/14 and (-741)/(-180) - (-2)/f.
140
Suppose 0 = -3*v - 2*v + 290. What is the lowest common multiple of v and 18?
522
Let l = -2903/66 + 277/6. Let x = 68353/27852 - -1/2532. Find the common denominator of l and x.
11
Let g be (-153)/(-45) + (-4)/10. Let d = 0 + g. Suppose 3 = 3*v - d. What is the lowest common multiple of 16 and v?
16
Let d = 1547/5 + -303. Find the common denominator of 6/16*2280/36 and d.
20
Calculate the common denominator of 32/5 and 20*((-21)/(-9))/(-7).
15
Suppose -17*w = -15*w - 24. What is the least common multiple of 28 and w?
84
Let l(u) = u**2 - 1. Let t = -8 + 9. Let j be l(t). Suppose 5*q - 47 - 3 = j. What is the least common multiple of 6 and q?
30
Calculate the smallest common multiple of 14 and -1*(-80)/(3 + 2).
112
Let r be (-8)/42*1867/4. Let p = r + 259/3. What is the common denominator of p and -49/8?
56
Let g = -7601/12 + 633. Find the common denominator of 19/2 and g.
12
Suppose -c = 5*s - 7 - 203, 2*s = -3*c + 71. What is the common denominator of -4 - 2/((-8)/86) and s?
2
Suppose -u - 2*r = -5, -8 = -3*u + 4*r - 3*r. Suppose -h = u, -4*h - 35 = -5*i + 82. Let w = -19 - i. What is the common denominator of w and -13/7?
7
Suppose -b = -0*h + 3*h - 15, -5*b = 0. What is the least common multiple of 2 and h?
10
Let o = 26616098/1287 + -227383/11. Let d = o - 88/13. Find the common denominator of -4/3 and d.
9
Suppose -7 = -2*w + 5. What is the lowest common multiple of w and 8?
24
Suppose d - 3*d = -38. Let g = 31 - d. What is the smallest common multiple of 10 and g?
60
Let l(x) = 37*x - 2. Let y be l(2). Suppose r = -5*j + y, 3*r - 20 = 2*j - 3*j. What is the smallest common multiple of 6 and j?
42
Suppose -3*k = 15, 2*y - k = -2*k + 19. Calculate the least common multiple of ((-2)/5)/((-2)/30) and y.
12
Let v = 1167 + -1161. Let q(d) = 3*d + 1. Calculate the smallest common multiple of v and q(3).
30
Find the common denominator of (7/(-10))/(6/35) and 103/18.
36
Let y = 9 + -4. Let t = y - -4. Calculate the common denominator of 28/11 and (-179)/33 + 3/t.
11
Let r = -8 - 10. Calculate the least common multiple of 10/25 - r/5 and 6.
12
Let l = 10685/7 + -1529. Find the common denominator of -17 and l.
7
Let o be -1 - 13117/(-2845) - 0. Let c = -6/569 + o. Let x = 977/2 + -490. Find the common denominator of x and c.
10
Let m(u) = u**3 + 8*u**2 - 3*u - 2. Let x(h) = 3*h**3 + 24*h**2 - 10*h - 6. Let o(v) = 7*m(v) - 2*x(v). Calculate the smallest common multiple of 5 and o(-8).
30
Suppose -43 = -3*c + 5*l, -3*c + 13 = -0*c + l. Calculate the smallest common multiple of 48 and c.
48
Suppose -92 = -2*l + 6*l. Calculate the common denominator of (l/22 - -2) + 2 and (-321)/(-66) + 1 + -2.
22
What is the smallest common multiple of 10 and (510/20)/((-6)/(-8))?
170
Let y(f) = f + 1. Let t be y(3). Suppose 2*v + c = 20, c + 44 = t*v + 10. What is the smallest common multiple of 5 and v?
45
Let m = 7278 + -43555/6. What is the common denominator of 85/14 and m?
42
Let n = 535117/52 - 10289. Find the common denominator of 56/11 and n.
572
Let x(u) = u + 3. Let w be 1*(1 + 2/(-2)). Let l = 9 - w. Calculate the lowest common multiple of l and x(5).
72
Let i be ((-1)/1 + 0)*0. Suppose 3*y - 5*p + i*p - 5606 = 0, -y + 1842 = 5*p. Let d = y + -20467/11. What is the common denominator of d and -27/4?
44
Let h(s) = 3*s + 51. What is the least common multiple of h(-16) and 21?
21
Suppose 3*u = 3*j - 51, -j + 2*u = -3*u - 13. What is the smallest common multiple of j and 6?
18
Find the common denominator of 17/36 and (-84)/196 - ((-67)/140 + 1).
180
Let g = 71942/15 - 4798. What is the common denominator of -87/10 and g?
30
Let h = 467 + -4633/10. What is the common denominator of -3 - (-2 + 23/(-10)) and h?
10
Suppose 0*j - 6 = -j. Let t be (-6591)/6 + 2/j. Let r = t - -1114. What is the common denominator of 111/10 and r?
30
Let v = -32099/30 - -3227/3. Calculate the common denominator of v and 19/25.
50
What is the common denominator of -77/50 and 333/72 + 2/(-8)?
200
Let r(l) = 20*l**3 - 2*l**2 - 2*l + 2. Let v be r(2). Suppose 0*b - b = v. Calculate the common denominator of (4/((-128)/b))/(-3) and -3/14.
112
Suppose -5*u - 29 = -3*w, 0 = -4*u + 20. What is the smallest common multiple of 2 and w?
18
Let r = -2 + -1. Suppose 0 = 4*m + 2*o + 3 - 9, -3*m = -3*o - 9. Let y = m - r. What is the lowest common multiple of 9 and y?
45
Let z = 3 - -2. Suppose 7*f = 3*f + 4*r + 48, -z*f - 2*r = -60. What is the smallest common multiple of f and 4?
12
Let b = 124 + -84. Suppose -9*j = -4*j - b. What is the lowest common multiple of (1 - (-1 + 1))*j and 2?
8
Let c = -1685/656 + -92/41. Let m = 3/115 - 3389/2070. Calculate the common denominator of c and m.
144
Let d(f) = f**3 - 7*f**2 + 3*f - 14. What is the smallest common multiple of 11 and d(7)?
77
Let y be 1/(-1)*-1 - -41. What is the common denominator of y/12 + 2/5 and -127/6?
30
Let g = -29649/22 - -1348. Let j = 11 - 15. Calculate the common denominator of (-198)/j - (-12)/(-3) and g.
22
Let g(f) = -f**3 + 4*f**2 + f - 3. Calculate the least common multiple of 8 and g(3).
72
What is the common denominator of -37/2 and (10/(-22))/((-14)/7)?
22
Find the common denominator of 1010/(-720) - 4/18 and -97/16.
16
Let g = -9 - -40. Calculate the lowest common multiple of g and 11.
341
Let i = 4333/4 + -21839/20. Find the common denominator of -139/18 and i.
90
Let v = -45 + 101. Suppose 4*h = 5*c - c + v, -3*c - 60 = -4*h. Calculate the smallest com