and -119/6.
30
Suppose -5*s - 22 = p, -3*s - 4*p - 24 = -4. What is the common denominator of 22/28*-1 + -1 and ((-1992)/(-224))/((-6)/s)?
14
Let h(u) = 2*u**3 + 10*u**2 - 30*u + 7. Calculate the lowest common multiple of h(-7) and 98.
294
Suppose -3*r - 34 = 5*v - 0*r, 0 = 5*v - r + 22. What is the common denominator of -35/9 and (-8)/16 - v/54?
27
Suppose 4*o - 117 = -29. Suppose -2*t = 9*t - o. Calculate the smallest common multiple of t and 4.
4
Let f = 9 + -22. Let w be (-232)/f - 16/(-104). Let x = 0 + w. What is the lowest common multiple of x and 16?
144
Calculate the common denominator of (12/40)/(732/455) and 87/20.
2440
Suppose 6*v - 5*v - 1539 = -5*u, -3*u = 3*v - 921. What is the lowest common multiple of 140 and u?
1540
Let d = 250801/28 + -8960. Calculate the common denominator of d and 5/16.
112
Let v = 5/54 + -16/27. What is the common denominator of 83/10 and v?
10
Let p be 8/(-18)*(-14867)/(-2). Let b = -1781 + 5091. Let z = b + p. Calculate the common denominator of z and 3/7.
63
Let t = 12 - 3. Let m = 12 - t. What is the lowest common multiple of 8 and m + (45/3 - 0)?
72
Let n = 975/2 - 519. Find the common denominator of (-2)/(-6)*(-69)/(-9) and n.
18
Let l be ((-4)/(-30))/(108/15615). Let b = l + 5/9. Calculate the common denominator of 41/9 and b.
18
Let s = 43237/6 + -7227. Let r = 1176 + -8276/7. Find the common denominator of r and s.
42
Let a = 23 - -47. Let y = -3327/232 - -143/58. Find the common denominator of y and (32/a)/(4/(-10)).
56
Calculate the least common multiple of 0 + -8 + 5 + -3 - -38 and 34 + 1/(1/2).
288
Let h = 1628 - 21144/13. Find the common denominator of 134/56 + 4/(-16) and h.
91
Let t = -8 + 15. What is the lowest common multiple of 20/6 + 1/(-3) and t?
21
Suppose -4*w - 58 = -42. Calculate the lowest common multiple of -3 - 2 - w - (-2 + -2) and 0 - 1*1*-9.
9
Suppose -q + 66 = d - 3*q, 5*d + 5*q - 285 = 0. What is the least common multiple of 10 and d?
60
Let s be (9/717)/(((-15)/(-2))/(-5)). Let c = 233/717 - s. What is the common denominator of c and -85/4?
12
Calculate the common denominator of 139/6 and (((-33)/(-2))/11)/((-2583)/39).
1722
Let u be -2 - (45/(-10))/(9/12). Let r = 0 + u. What is the lowest common multiple of r and 5?
20
Let g = -119 - -1907/16. Let u be (-2)/3*(-5 + -4). Find the common denominator of (0 - (-89)/u)/1 and g.
48
Suppose 9*h = 6*h - y + 194, 2*h - 4*y = 134. What is the smallest common multiple of h and 104?
520
Let j(r) = r**2 + 3*r - 5. Let s be j(-4). Let z be (10562/510)/(s - 3). Let b = z - 25/204. What is the common denominator of 59/3 and b?
30
Let b = 62 - 37. Let q = b + -19. What is the least common multiple of 1 and q?
6
Suppose -32 + 180 = 4*g. Let i = 33 + -54. Let a = g + i. Calculate the smallest common multiple of a and 22.
176
Let q = 96851/12 + -8064. What is the common denominator of (11/3)/(28/(-6)) and q?
84
Let b(t) = -5*t**2 - 12*t - 9. Let q(l) = l**2 + l. Let y(f) = b(f) + 6*q(f). Calculate the least common multiple of (-24)/(-2)*12/9 and y(9).
144
Suppose -5*v + 39 = -2*u, -88 = -4*v + 2*u - 58. Calculate the least common multiple of 10 and v.
90
Calculate the lowest common multiple of 2/(-1) + -67 + 75 and 55.
330
Let q = -3 - -4. Suppose 0 = -14*h + 9*h. Let s = 2 - h. Calculate the least common multiple of s and q.
2
Let d(m) = m**3 - 13*m**2 + 5*m - 44. Calculate the smallest common multiple of 18 and d(13).
126
Let a(b) = -b. Let t be a(-6). Let k = t - 1. Suppose -p + k*p = -2*n + 44, 20 = 5*n. Calculate the lowest common multiple of 11 and p.
99
Find the common denominator of -69/266 and 69/(-552) + (-34)/(-112).
532
Let r be 1/((-3)/(-4) + 85/(-120)). Find the common denominator of 18/6 + (-142)/r and 53/6.
12
Let z = 488 + -244. Let h = -1469/6 + z. What is the common denominator of h and 308/(-99) - (-4)/6?
18
Let r = 16071/9880 + -2/1235. Suppose 0 = -4*v + 5*f + 8726, -v - 4*f - 433 = -2625. Let u = -13147/6 + v. Find the common denominator of r and u.
24
Suppose 36 = 5*b - 2*r, 41 = -5*b + r + 79. Let l(c) = 7*c - 3. Calculate the least common multiple of l(3) and b.
72
Let n be -1 + -2 + (2 - -1). Suppose -5*y = 3*c - n*c - 16, y + 4 = 3*c. Let i(u) = -17*u - 160. What is the least common multiple of c and i(-10)?
10
Let a = -94803/86968 + 5/6212. Calculate the common denominator of -67/56 and a.
56
Let r = 87 + -69. Calculate the smallest common multiple of r and 18.
18
Let i = 27063 + -2760463/102. What is the common denominator of i and -47/255?
510
Suppose 0 = 3*u + 9*u - 648. Calculate the smallest common multiple of u and 72.
216
Let q be (-262)/(-4)*(-7514)/117. Let n = q + 4211. Calculate the common denominator of 31/3 and n.
9
Calculate the common denominator of ((-29)/(-170))/(14/35) and 9747/(-570)*10/12.
68
Suppose -3*p = 5*n - 26, 4*n + 0 - 16 = -2*p. What is the lowest common multiple of 192 and p?
192
Let b be (1 + 3472/(-12))/((-2)/(-6)). Let t = -17193/20 - b. Find the common denominator of t and 35/32.
160
Find the common denominator of (3/49)/(20/(-574)) and (-1)/((-30)/(-27))*((-50)/(-22))/1.
770
Suppose -10*o = -6*o. Let z be (-3)/6*-4 - o. Calculate the lowest common multiple of 16 and 1/z*(-264)/(-6).
176
Let g(t) = t**3 + 16*t**2 + t + 6. Let a be g(-16). Calculate the common denominator of 11/a*(-10)/(-16) and 53/8.
16
Let s = -21953/8 + 2754. Let g = 9 - s. What is the common denominator of -3/7 and g?
56
Let z = 2904/1475 + -43/59. What is the common denominator of z and 66/35?
175
Let l(n) = -n + 10. Let p be l(9). Let w be (-1)/p*(2 + 62). What is the lowest common multiple of 8 and 20/30 - w/3?
88
Suppose 5*m - v + 272 = 0, 0 = -5*m + m - 3*v - 210. Find the common denominator of m/(-10) + -2 - 2 and -31.
5
Let l(k) = 10*k**2 + k + 6. Calculate the smallest common multiple of l(3) and 33.
99
Let k = 17 - 12. Let u = 71 - 41. Suppose -3*m = 5*v - 7*m - 30, k*v - 5*m = u. What is the smallest common multiple of v and 11?
66
Let c = -7400/33 - -224. Let o = 145/22 - c. Let y = 4361/270 + -158/27. Calculate the common denominator of y and o.
30
Let o = 3033 - 97003/32. Calculate the common denominator of o and -35/6.
96
Let l = -27223 - -51284. Let n = l - 866347/36. What is the common denominator of n and 3/16?
144
What is the common denominator of 314/68 - 12/102 and -1 - (-2 - 219/(-66))?
22
Let o = -5 - -11. Let i(q) = -q**3 + 6*q**2 + 3*q - 2. Calculate the lowest common multiple of i(o) and 32.
32
Let n(t) = t**2 - 3*t - 3. Let x be n(-9). Let i = -1/198 - -6241/792. Calculate the common denominator of i and x/24 + -1 + 3.
8
What is the least common multiple of (-4)/(-5) + 1032/60 and 72?
72
Let o be (6/12)/(1/(-490)). Let u = o + 2447/10. What is the common denominator of ((-194)/6)/((-50)/15) and u?
10
Suppose -4*h + 3*h + 7 = 0. Suppose 6*y = -1517 + 1589. What is the lowest common multiple of h and y?
84
Let j = -835 + 837. Suppose -y - 2*a - 26 = -6*a, -16 = 4*a. Calculate the lowest common multiple of y/(-4) - 1/(-2) and j.
22
Suppose 2*t - 4 - 6 = 0. Calculate the lowest common multiple of (8/(-26))/((-106)/689) and t.
10
Suppose 0 = 9*k - 42 - 57. Let o = k + 2. What is the lowest common multiple of o and 7?
91
Let p = 1888 - 1886. What is the lowest common multiple of p and 2 + 67 + 0 + 1?
70
Suppose 3*u = -0*u + 12. Suppose -3*s = 3*a - 29 - 76, 5*s - 175 = -u*a. What is the least common multiple of s and 55?
385
Let s be ((-52)/8 + 8)/(2/88). Calculate the common denominator of (-64)/s*(-4 - 155/(-50)) and -81/2.
110
Let l(o) = 4*o**3 - 1. Let n be l(1). What is the common denominator of (27/(-36))/((-6)/52) and (-136)/6 + -5 + n?
6
Let j = -95194819519/764 - -124600528. Let o = 11336778/191 - 59355. Let q = j + o. Calculate the common denominator of 9 and q.
4
Suppose -o = 22*s - 19*s - 297, -2*s = 5*o - 185. Calculate the smallest common multiple of s and 5.
100
Calculate the common denominator of (-21)/((-189)/12) - (-14)/480 and -49/232.
2320
Let k = -4782025/112 - -42697. Let a = k + 1625/3696. What is the common denominator of a and 63/8?
264
Let l be -1*(-25790)/18 - 1. Let i(f) = -369*f**2 + 19*f + 1. Let d be i(2). Let c = d + l. Find the common denominator of -59/6 and c.
18
Let c(p) = -4*p**3 - 5*p**2 + 4*p + 3. What is the lowest common multiple of 1 and c(-2