 - t. Calculate the common denominator of h and -2/7.
77
Let u be (-4 + 7 + -3)/2. Suppose -2*x - 1 = -9. Let q = x - u. What is the smallest common multiple of q and 7?
28
Suppose 0*w + 3*y - 1 = 2*w, y = 5*w + 35. Suppose 2*u - p = 490, -5*p + 243 = -3*u + 971. Find the common denominator of u/8*w/(-60) and -103/10.
10
Let t(s) = -s**2 + 43*s - 34. What is the lowest common multiple of 560 and t(42)?
560
Let f(x) be the first derivative of x**3/3 - 2*x**2 - 5*x + 2. Let y be f(4). Calculate the least common multiple of (-104)/(-10) - (-2)/y and 7.
70
Let h = 14 + -9. Suppose h = -j + 33. Let y = j + -503/18. Find the common denominator of 11/16 and y.
144
Let i(m) = -m**2 - 8*m + 8. Let r be i(-11). Let f be 4/(-10) - (-390)/r. Let c = 36 + f. What is the least common multiple of 22 and c?
220
Let f(q) = 3*q**2 + 10*q - 65. What is the lowest common multiple of 300 and f(5)?
300
Calculate the common denominator of (-122)/(-24)*(-2 + 60/42) and -113/12.
84
Let f be (238/(-144))/((-5)/(-130)). Let o = -199/4 - f. Calculate the common denominator of (-1)/5 - (-1 - (-819)/(-90)) and o.
90
Let h = -505997/44 - -11498. What is the common denominator of h and (5 + (-1398)/288)*14?
264
Let o(y) = y**2 - 5*y - 262. Calculate the least common multiple of 766 and o(-14).
1532
Suppose -5*i + 0*i + 20 = 0, p - i + 2 = 0. What is the smallest common multiple of 14 + (p - 6/1) and 10?
10
Suppose 30 = 239*h - 236*h. Suppose -h*l - l = -880. Suppose 3*q - 21 = 21. Calculate the least common multiple of l and q.
560
Let v(r) = r**2 - 12*r - 57. What is the least common multiple of 110 and v(-12)?
2310
Suppose -8*a - 162 = -26*a. What is the lowest common multiple of a and 12?
36
Find the common denominator of 131/12 and (-2 - 3) + (8 - 831/390).
780
Let n(t) = -2*t**3 + 65*t**2 + 46*t - 29. Calculate the smallest common multiple of n(33) and 320.
1600
Let p = 1/7094 - 248317/191538. Let x = p + 155/432. Find the common denominator of x and -79/22.
176
Let n = 244 - 233. Calculate the smallest common multiple of n and 7.
77
Calculate the common denominator of 39/40 and 2010/(-4050) + (-4)/(-18).
1080
Let a be (-6684)/(-21) - ((-2)/1 + 4). Let u = 317 - a. Calculate the common denominator of u and -91/12.
84
Let p = 17 - 11. Let b be 15/6 + p/(-4). Let z = b + 4. Calculate the lowest common multiple of 1 and z.
5
Suppose -h + 1543 = m, -5*h = -m + 4*m - 7719. Let v be ((-348)/40)/((-18)/h). Let q = 756 - v. Calculate the common denominator of 47/16 and q.
16
What is the common denominator of 2/42*(9 - (-1281)/112) and 59/144?
1008
Suppose 6*k + 352 = 50*k. Let j(w) = w. What is the lowest common multiple of k and j(8)?
8
Suppose -2*w = 0, -4*f - 3*w - 18 = -2*f. Let k(j) = 0*j + 3*j + 13 + 5*j - 7*j. What is the least common multiple of k(f) and 4?
4
Let f = -3/33046 + 1223647/10409490. Find the common denominator of f and -79/40.
2520
Let x(c) = -18*c**3 + 2*c**2 + c - 2. Let a be x(1). Let f = a + 44. Calculate the lowest common multiple of 3 and f.
27
What is the common denominator of ((-2)/(-10))/((-6972)/(-3535) + -2) and -67/132?
924
Let s = 51 - 29. Let h = s + -14. Calculate the lowest common multiple of 5 and h.
40
Let h = 21 + -17. Suppose h*a + 51 - 123 = 0. Calculate the lowest common multiple of 22 and a.
198
Suppose 3*g + g = -2*h + 134, -g - 3*h = -41. Calculate the least common multiple of 26 and g.
416
Suppose 0 = 8*u + 17 - 65. What is the common denominator of u/(-15) - 28/55 and 132/15 - (1 - -1)?
55
Let u = -851 - -3313/4. Let h = -194981/55 + 3545. Let k = 4417/660 + h. What is the common denominator of k and u?
12
Suppose 2*q + 4 = 16. Let b = q - -10. Let o = 9 + 9. What is the lowest common multiple of b and o?
144
Let p(g) = -5*g**2 - 109*g - 48. Suppose -z = 2*z - 60. What is the least common multiple of z and p(-21)?
180
Suppose -7 = -3*f + 17. What is the lowest common multiple of f and (-3 + (-9)/6)/(12/(-32))?
24
Calculate the common denominator of 71/132 and 8/(-84) + -41*69/30492.
1452
Suppose -4 = -0*i - 2*i. What is the lowest common multiple of i/4 + (-84)/(-8) and 8?
88
Suppose -3*a + 3*n + 3210 = 0, 0 = -6*n + n - 20. Let d = a - 17071/16. Calculate the common denominator of d and -79/14.
112
Suppose -7*k - 2430 = -2*k. Let g = -2923/6 - k. Calculate the common denominator of 2/11 and g.
66
Let p = -150035/4 + 37756. Let g = -265 + p. What is the common denominator of 81/8 and g?
8
Suppose -4*x + 1168 = 4*x. Suppose 9*d - 142 = x. Calculate the lowest common multiple of 22 and d.
352
Let k(r) = 11*r**2 + 5. Let s be k(5). Find the common denominator of (381/10)/(324/180) and (-1642)/s + 6/(-21).
60
Let y be (-1 + 4)/1 + -9. Let j = 16 - y. Calculate the smallest common multiple of 32 and j.
352
Let r = 92 - 74. Calculate the lowest common multiple of r and 3.
18
Suppose -14 = -h - x, 3*x = 4*h - 0*h - 28. Calculate the least common multiple of h and 20.
20
Find the common denominator of -19/42 and 1890/(-738)*(-2)/(-9).
1722
Suppose 0 = -5*r + 5, 15*w = 17*w + r - 5. Calculate the lowest common multiple of 57 and w.
114
Suppose -14*u + 11*u + 69 = 0. Let v = -66 + u. What is the common denominator of v and -26/11?
11
Suppose -z - 21 + 2 = -3*a, 2*z = 3*a - 29. Suppose -3*r + 0*w = -3*w - 165, 2*r + 2*w - 110 = 0. Calculate the common denominator of (-6)/z - 283/r and -1/11.
11
Let s(w) = w**3 - 2*w**2 - 3. Let d be s(3). What is the least common multiple of ((-10)/d)/(10/(-60)) and (-53)/(-5) + 4/10?
110
Let d(m) = 62*m**3 - 5*m**2 - 5*m - 6. Let y be d(-6). Let w be 123/(-10)*y/(-24). Let x = 6948 + w. What is the common denominator of x and 29/6?
60
What is the common denominator of 15 + (-12477)/828 + 3/4 and -44/3?
69
Let d = 211 + -199. What is the lowest common multiple of 189 and d?
756
Let g = 32 + -281/6. Find the common denominator of (-117)/(-72) - (-6)/(-8) and g.
24
Find the common denominator of (-201)/2*1/27 and (4 - 3) + 5/(-4).
36
Let b = -13567 - -271277/20. Find the common denominator of 3*4/(-16)*3 and b.
20
Let q = -271698979/504 - -539085. What is the common denominator of 11/180 and q?
2520
Let k(x) = 11*x**3 + x**2 - 9*x - 10. Let n be k(-8). Let y = -60615/11 - n. Find the common denominator of y and -31/8.
88
Let z(k) = 3*k**2 - 12*k + 8. Calculate the least common multiple of z(4) and 34.
136
Let p be (136/(-24))/((-3)/711). Let a = p - 53729/40. Calculate the common denominator of -113/24 and a.
120
What is the common denominator of -3*(71/(-6) - 5) and (-4)/(-6) - (-34)/33?
66
Let t(q) = -9*q**2 - 86*q + 10. Calculate the smallest common multiple of t(-9) and 9.
495
Let c = -3644383/7999470 + 2/88883. Calculate the common denominator of c and 73/27.
270
Suppose 17*m + 78 = 20*m. Suppose 0 = -9*x + 4*x + 3*v + 42, -5*v = -x + m. What is the least common multiple of x and 48?
48
Let u = -172 + 2741/16. Find the common denominator of 115/6 and u.
48
Let h(a) = a**3 - 19*a**2 + 15*a - 40. Let q be h(18). Find the common denominator of (-4 + q/28)/(-2) and -7/4.
28
Suppose -35 = -5*o + 65. Let q = -919 - -928. Calculate the smallest common multiple of q and o.
180
Let b = 58 + -58. Suppose b = -3*z + 9 + 51. Calculate the lowest common multiple of z and 10.
20
Let p = -126595/46 + 2750. Find the common denominator of p and 145/138.
138
Suppose -5*f + 381 = -0*f + r, -4*r = -2*f + 170. Calculate the lowest common multiple of 28 and f.
308
Let x = 2163 + -2153. Calculate the smallest common multiple of x and 65.
130
Let h(o) = -8*o - 28. What is the smallest common multiple of h(-9) and 9?
396
What is the common denominator of ((-10)/2 - -2)/(1120/(-728)) and -57/20?
20
Suppose l + 2*z = 214, -14 = -5*z + 11. What is the lowest common multiple of l and 20?
1020
Find the common denominator of 2/(-13) + (-204120)/(-840060) and -41/9.
3231
Let n(q) = -3*q**2 + 21*q - 7. What is the lowest common multiple of n(5) and 5?
115
Let n(d) = d**2 + 3*d + 6. Let o = 2 + -2. What is the lowest common multiple of 4 and n(o)?
12
Let v(x) = x**3 - 37*x**2 + 34*x + 80. What is the least common multiple of 26 and v(36)?
104
Let n = 17341/12 - 4313/3. Find the common denominator of n and -41/52.
156
Calculate the lowest common multiple of 11 - 9*(-6)/(-27) and 5.
45
Suppose -5*n = -d + 4*d - 26, 2*d - 15 = -n. Let a