137
Calculate the common denominator of (-8)/(-36) + 7/((-6174)/1042) and -9/343.
343
Let x = -4335/19 + 7729229/33877. Let h = x - -126617/10698. Find the common denominator of h and (-35)/120*(-6)/(-2).
24
Suppose 5*a + 11*b - 105 = 14*b, -a - 4*b = -44. Calculate the common denominator of 43/119 and a.
119
Suppose 16*v - 11*v - 285 = 0. Suppose 0*m + v = 3*m. Let i = m - 12. What is the lowest common multiple of 7 and i?
7
Let h(q) = 2*q**2 - 6*q + 2. Let m = -28 - -48. Suppose 0 = -4*g + 4*b + 20, -4*g - b + 4*b + m = 0. What is the least common multiple of g and h(4)?
10
Suppose -3*j + 19 = 2*z, 5*z = j - 2*j + 67. Suppose 3*v = 16 + z. Let x = -9 - -11. What is the smallest common multiple of v and x?
10
Let k be (-4)/(-3)*122756/(-64). Let o = 2553 + k. Calculate the common denominator of (-15 - -13) + (-131)/6 and o.
12
Let v = -115 - -127. Calculate the least common multiple of v and 33.
132
Suppose -35 + 11 = -3*i. Let f(v) = -4*v**2 - 38*v + 70. Calculate the least common multiple of i and f(-11).
8
Let r = 27185/362593 + 20/1309. Let g = r - 14402/3047. Find the common denominator of (-9 - -11) + -97*(-2)/(-4) and g.
22
Suppose c - 5*c = 5*z - 193, 105 = 3*z - 3*c. Let q = -25 + z. Calculate the least common multiple of q and 10.
60
Suppose -2*s + 7*s - 57 = 4*w, -5*s + w = -48. Let i = -1116 - -1118. What is the lowest common multiple of s and i?
18
Let m = -100837/204 + 1484/3. What is the common denominator of -76/9 and m?
612
Let d = -661834/45 - -14708. Calculate the common denominator of 61/495 and d.
495
Let o = -2014/7 - -3545/14. Calculate the common denominator of o and 103/6 + (-1)/(-3).
2
Let x = -37 - -39. Calculate the common denominator of (x/(-84))/(17/(-237)) and -65/22.
2618
Let y(g) be the first derivative of g**2/2 + 5*g + 2. Let u(o) = o**3 + 6*o**2 + o + 8. Calculate the smallest common multiple of u(-6) and y(-4).
2
Let y = -86093 + 9470167/110. Find the common denominator of -29/6 and y.
330
Let z = -16153 + 2132257/132. Find the common denominator of z and -1/18.
396
Let y(o) = -2*o - 14. Let m be y(-7). Suppose -5*t + 10 = m, 2*f + 4*t - 15 = 11. Calculate the smallest common multiple of f and 9.
9
Let d = 11 - 15. Let f be (0 - 147/(-6))*2. Find the common denominator of 3/2 and 2/d - f/21.
6
Suppose -3*x = 2*b + 7 - 10, 0 = 2*b - x - 15. What is the lowest common multiple of 16/6 - (-6)/(-9) and b?
6
Let y = -301 - -433. Find the common denominator of (-147)/(-14) + (1 - 1) and (34 + 0)/(y/6).
22
Let g(p) be the third derivative of p**6/120 + p**5/10 + p**4/24 - 7*p**3/3 - 12*p**2. Calculate the lowest common multiple of 2 and g(-5).
6
Suppose -3*b = 3*s - 2*s - 4, 4*s = -4*b. Calculate the common denominator of (2 - 1)/(s + 576/246) and (-4)/(-6) + 143/(-30).
70
Find the common denominator of 7/16 and ((-2)/96)/(13/26).
48
Let f(i) = 3*i**3 + 3*i**2 - 2*i + 3. What is the lowest common multiple of 45 and f(2)?
315
Let r = -1937559/40072741 - -235/4863. Let n = -121933/148326 - r. Calculate the common denominator of -43/6 and n.
354
Suppose 55 = 23*h - 22*h. Calculate the lowest common multiple of h and 77.
385
Let r = -63 + 61. What is the common denominator of -7/20 and 18/240*-43*r/3?
20
Let z(p) = -p + 56. Suppose 3*a + 3*r - 33 = 0, 5*r = -3*a + 5*a - 1. What is the smallest common multiple of a/((-2)/(-4 + 2)) and z(32)?
24
Let y = 79999/57 - -5579851/798. Let m = 8402 - y. What is the common denominator of m and 61/20?
140
Let z(v) = -v**3 - 42*v**2 - 78*v + 86. Let j = -22 - -49. Calculate the smallest common multiple of j and z(-40).
54
Let m = -117 + 115. Calculate the common denominator of 2/60*3*(-99)/m and 101/4.
20
Let j = 672 - 6038/9. Let v = -47989/63 + 5294/7. Calculate the common denominator of j and v.
9
Let f = -1735/2 - -823. Let c = -12 - 4. Find the common denominator of c and f.
2
Let y(b) = -13*b + 6*b + 10*b - 17. Let z(j) = j**2 - 8*j + 8. What is the smallest common multiple of z(7) and y(8)?
7
Let k be (22/(-6))/11*(-1929)/1. Suppose -5*q + x = -799, -4*q - 2*x + k = x. What is the least common multiple of 20 and q?
160
Let j = 537/10 - 341/5. Find the common denominator of ((-1860)/(-1280))/(3/4) and j.
16
Let s = -773476/7 - -110775. Let o = -285 + s. What is the common denominator of (-63)/4*8/10 and o?
35
Let q(s) = 13*s + s**3 - 2*s**3 - 5*s**2 - 6*s - 2*s**2 - 4. Let y be q(-8). Suppose 8*g = y*g + 20. What is the least common multiple of 4 and g?
20
Suppose 20 = -15*y + 20*y. Suppose y*u - 9 = 3*u. Calculate the least common multiple of 9 and u.
9
Let h = 1832453/60 - 30540. Calculate the common denominator of 23/108 and h.
540
Let y(o) = 4*o - 20. What is the smallest common multiple of (4/(-6))/((-1)/18) and y(13)?
96
Let c = 32113/121 - 2920/11. Find the common denominator of c and 17/99.
1089
Let f(p) = -6*p + 1. Let d be f(-3). Let o = d + -18. Find the common denominator of (-128)/18 + 3/o and 29/9.
9
What is the common denominator of 57/136 and (-79)/16*(3 + -4)*-1?
272
Let g = -1990405/134 - -14854. Calculate the common denominator of -87/20 and g.
1340
Let z = -3459/2 - -1762. Let l(r) = -r**3 - 5*r**2 + 6*r + 3. Let p be l(-7). Let t = p - 18. Calculate the common denominator of z and t.
2
Suppose -144 = 61*k - 69*k. What is the lowest common multiple of 12 and k?
36
Suppose -150 = -2*h - 6*v + 2*v, 0 = 2*h + 5*v - 155. Suppose 9*z = 4*z + h. What is the smallest common multiple of 9 and z?
117
Let w(y) = -y**2 - 48*y - 265. Find the common denominator of -67/69 and w(-43).
69
Let n = -20661/44 + 6180/11. Let w = n + -91. What is the common denominator of w and 69/16?
16
Let f be 160/(-25) + 4/10. Let z(v) = -10*v + 3. Let c be z(-3). What is the common denominator of 146/(-8)*f/c and -85/2?
22
Let s = 7 - 5. Let t be (-2)/5 + (-18)/(-45). Suppose t = -3*w + 3*i, 6*i = -5*w + 4*i + 35. What is the lowest common multiple of s and w?
10
Let j = -175321/27728 + 18/1733. Calculate the common denominator of j and 91/88.
176
Suppose y = -3*w + 46, w - 24 = -w - 4*y. Let t be 6/(-51) - (-2238)/(-51). Let p = 84 + t. Calculate the least common multiple of w and p.
80
Let o = 11 + -23. What is the smallest common multiple of 24 and (30/o)/(1/(-6))?
120
Suppose l - t - 9 = -5*t, 0 = -t. Calculate the common denominator of -3/8 and (-12)/l*747/(-96).
8
Let d be (-15 + 44)*(1 - 2). Let m = d - -31. Calculate the lowest common multiple of 2 and m.
2
Let z(g) = -2*g + 19. Let s be z(8). Calculate the smallest common multiple of (s/(-9))/((-3)/54) and 12.
12
Suppose 3*t + 16 = 7*t. Suppose 3*q - 8 = -2*v - 0, v = -q + 1. Suppose -q = -z + t. What is the lowest common multiple of 16 and z?
80
Let b = -627668155/8421 + 2106514307168/27831405. Let s = -2/69405 - b. Let q = s + 1162. Calculate the common denominator of -99/2 and q.
6
Let s = 3275 - 32729/10. Let t = 2021 + -2913. Let u = t - -10651/12. Calculate the common denominator of s and u.
60
Let d(q) = -13*q - 19. Suppose 3*k + k + 8 = 0. Let x = k - -4. Calculate the least common multiple of x and d(-3).
20
Let f(n) be the first derivative of -37*n**2/2 + n + 2. Let m be f(-1). Suppose 5 - m = -3*g. What is the least common multiple of 7 and g?
77
Let x = -10/89 + -721/712. What is the common denominator of (-138)/(-4)*(-2)/(-18) and x?
24
Let x(i) = 71*i - 90. Calculate the least common multiple of 40 and x(2).
520
Let l = -350 - -380. Suppose -3*g - 12 = -4*g. Calculate the least common multiple of g and l.
60
Suppose -v + 3*k = 2*v - 18, -3*k = -v - 2. Let c = 109 + -49. What is the smallest common multiple of v and c?
60
Suppose 5*m = 2*m + 9, 2*o - 5*m = -2271. Let z = -11307/10 - o. What is the common denominator of z and (-15)/(-12)*201/(-15)?
20
Let q = -7 + 110. Let i = -97 + q. Calculate the smallest common multiple of 11 and i.
66
Let d(z) = z**2 - 7*z + 2. Let h be d(7). Suppose -2*i = -2*j + 12, 4*i + h*j = -15 - 33. Calculate the lowest common multiple of 4 and ((-16)/i)/((-1)/(-10)).
16
Let t = 429609/160 - 2685. Calculate the common denominator of -63/40 and t.
160
Let n = -2/45 - 307/180. Calculate the common denominator of n and (-6)/(-21) - 659/28.
4
Let f = 107 + -59. What is the lowest common multiple of ((f/(-18))/8)/(1/(-3)) and (-46)/(-4) + 5/(-10)?
11
Let g = 562 + -8458/15. Find the comm