 -1119/58 + p. What is the common denominator of x and v?
60
Let y = 105 - 106. Find the common denominator of ((-122)/8)/(45/(-30)) and 72/(-28)*28/(-78) - y.
78
Let v(k) = 26*k**3 - 3*k**2 - k. Let t be v(-1). What is the smallest common multiple of 524 and (t - -27) + (17 - 1) + 1?
2096
Let q = -6184946 + 2115247025/342. Let d = q - -186/19. Calculate the common denominator of d and 17 + -8 + -2 - ((-4785)/80)/(-11).
144
Let t = 34 + -35. Let o(s) = -10*s. What is the smallest common multiple of ((-224)/(-24))/((-4)/(-30)) and o(t)?
70
Let b = 27475/843106 + -3/2017. Calculate the common denominator of b and -15/1102.
12122
Let w(c) = -43*c + 1. Let b be (15 - (-11 - -21)) + 1/1. Suppose b*p - 500 = -19*p. Calculate the lowest common multiple of w(-1) and p.
220
Let f be (52 - -18) + 2*2. Suppose -d - f = 103. Calculate the common denominator of -7/13 and d/20*(-2)/3.
130
Let g(r) = 48*r**3 - 3*r**2 - 10*r - 14. Let i be g(-2). Let z = i - -438. What is the least common multiple of 56 and z?
336
Let k = -11835503/432 + 27397. What is the common denominator of k and -155/4104?
8208
Let i(h) = -h**3 + 5*h**2 - 2*h + 4. Let f be i(5). Let u = -192593/18 - -10697. Find the common denominator of u and 2/f + 39/2.
18
Let o = 16774 + -15765. Calculate the least common multiple of o and 7.
7063
Suppose f = -3*z - 130, 5*z + 26 + 179 = -4*f. What is the common denominator of 53/12 and 20/z*68/(-12)?
108
Let k = 215896681574/18489 - 11677034. Calculate the common denominator of k and 137/6.
36978
Let w(p) = 2*p**2 - p + 137. Let q be w(0). Suppose -5*b + 7 - q = 0. Let c = -23 - b. Calculate the lowest common multiple of c and 5.
15
Calculate the common denominator of 29/168 and 16/672*191 + 6 + -14.
168
Let b = 446779/35 + -12766. What is the common denominator of b and -2/355?
2485
Let h = 39/629 - 602/3145. Find the common denominator of h and -61/663.
3315
Suppose -139 = -5*m + 4*q, 4*q - 31 + 8 = -m. What is the common denominator of 149/42 and 3/(-42)*m + (0 - -3)?
42
Let a = 49136/357 + -413/3. Calculate the common denominator of a and -61/357.
357
Let j(o) = 50*o + 374. Calculate the least common multiple of j(11) and 132.
924
Let m be -2 + 456/(-6)*-2. Suppose -5*y - m = -5*j - 8*y, -4*j + 93 = -3*y. What is the least common multiple of j and 9?
27
Let g be (-2 - (-8)/5)/(4/(-10)). Suppose -5*v + 4 = -g. Calculate the smallest common multiple of (1 - v) + 4/3*3 and 10.
20
Let a = -40355/3813 + 1/5084. Calculate the common denominator of 85/1844 and a.
5532
Let g = -4692361/265 + 17707. Let s = g + -2066/2385. Find the common denominator of ((-26)/27)/(4/(-3)) and s.
18
What is the common denominator of (57/(-152)*(-2)/(-1293)*27)/(-12) and -58/5?
34480
Let b(x) = 0*x**2 - 4*x - 1 + 3 + 3*x**2 - x**2. Let s be b(4). What is the common denominator of 67/6 and (-3 - -2)*303/s?
6
Let j(m) = 15*m - 216. Let p be j(14). Suppose 3*c - 2*c + 4*a = 12, 3*c + 4*a = 28. What is the lowest common multiple of 2 and c/p*(-1032)/32?
86
Let b = -522 + 528. What is the smallest common multiple of b and 264?
264
Let i(m) = -m**3 + 3*m**2 - 4*m - 1. Let y be i(3). Let z be 312/9 - y/39. Suppose 0 = 84*l - 85*l + z. What is the lowest common multiple of 5 and l?
35
Let t be (-7)/((-3906)/(-8))*(5 - 3). Let m = t - 4583/5580. What is the common denominator of m and -61/20?
20
What is the common denominator of -61/6850 and -3 + 104/22 + 318/106?
75350
Let k(g) = -3*g**2 + 3*g + 8. Let q be k(-4). Let b = 83 + q. What is the common denominator of (1/(-9))/((10/b)/2) and -42?
45
Let n = -71977/7 + 72035/7. Calculate the common denominator of 1 + 47*(-1)/37 and n.
259
Let p = -29790795283/672 + 44331504. Let c = p + 999/32. Let g = 129/14 + c. What is the common denominator of -65/9 and g?
18
Let t be 4 - (-7)/(-14)*-10. Calculate the lowest common multiple of ((-6)/(-15))/(t/270) and 3.
12
What is the smallest common multiple of (57/(3420/4224))/((-2)/(-25)) and 18?
7920
Let f be (-86)/10 + (-15)/(-25). Let y(c) = c**2 + 10*c + 12. Let b be y(f). What is the common denominator of 25/2 and 2 + 1/b + 1?
4
Let r = 9266 - 417013/45. Calculate the common denominator of r and -4/9.
45
Let y = -11193 + 705170/63. What is the common denominator of y and 9/85?
5355
Suppose -16*c - 37*c = -654974. Calculate the least common multiple of 12 and c.
74148
Let n be (7 - 103/15) + 2074/(-30). Let t = 72 + n. What is the lowest common multiple of t and 47?
141
Suppose -2*g = 3991 - 14899. Let w be (-30)/21*(-2 + (-2661)/g). Let y = 1/707 + w. Calculate the common denominator of y and -33/2.
18
Let r(i) = -2*i + 10. Let d be r(9). Let q be (-1)/5 + 20253/15 + d. Let x = 2769/2 - q. Find the common denominator of -59/49 and x.
98
Let g(k) = -k**3 + 13*k**2 + 13*k + 18. Suppose -17*l = -11*l - 12. Let c be (-1)/((3/l)/3) - -16. Calculate the lowest common multiple of 224 and g(c).
224
Let p be 5*24/(-30) + 42. Let d(j) = j**2 - 37*j + 144. What is the lowest common multiple of d(p) and 7?
182
Suppose -96 - 30 = -u. Suppose -5*d = -6*d + 54. Let i = u - d. What is the lowest common multiple of 18 and i?
72
Let k be (16/(-2))/((-5)/(28 + 7)). Suppose 398*m - 405*m = -k. Let w(s) = s**3 - 5*s**2 + 2*s + 3. Calculate the smallest common multiple of m and w(6).
408
Let m = -728 + 17701/24. Let f = 111/8 - m. Let r = -224 + 2233/10. Find the common denominator of r and f.
30
Let n = -5301076 - -122013604/23. Let i = 3864 - n. Find the common denominator of i and -28/9.
207
Suppose 0*g + 2*d = -g, 4 = -2*d. Let h(c) = c**3 + 11*c**2 + 9*c - 3. Calculate the least common multiple of (-7)/(7/(-2)) + g and h(-10).
42
Let p = 1305 - 918. What is the least common multiple of 43 and p?
387
Let j be -44*(-4)/3 - (-44)/33. Calculate the common denominator of -155/378 and (459/j)/(-3) + (-5)/(-2).
3780
Suppose 4*a - w - 2*w + 166 = 0, -5*w = -2*a - 90. Let z = a + 39. What is the lowest common multiple of (2 + -2*14)*z and 16?
208
Let u = -30602 + 642622/21. Calculate the common denominator of u and 5/168.
168
Let k be (-78)/(-429) + 26*10/22. Calculate the lowest common multiple of 99 and 2090/(-76)*k/(-10).
99
Calculate the common denominator of (-5)/(-20) + 66/(-20) and 21832/(-291024) + 8/(-188).
7740
Let h be 8/(-36) - (100/(-45) - 0). Suppose h*s - 41 - 43 = 0. What is the lowest common multiple of 36 and s?
252
Suppose -2*w + 3*j = 3728, 15*w + 4*j + 3756 = 13*w. Let k = -28067/15 - w. Calculate the common denominator of k and 101/40.
120
Suppose -28*q - 56 = -308. Calculate the lowest common multiple of q and 1436.
12924
Let q(y) = y**3 + 24*y**2 - 27*y - 51. Let b be q(-25). Find the common denominator of 184/(-6)*6/(-168) and (-155)/(-24) + 8/(2/b).
168
Let x be -30*((-6 - -2)/8 + 0). Calculate the common denominator of 89/24 and (-21)/x + 2 - (-115)/10.
120
Let b(s) be the second derivative of 7/6*s**3 + 16*s - 5/12*s**4 - 5/2*s**2 + 0 + 1/20*s**5. Calculate the least common multiple of b(5) and 18.
90
Suppose -201 + 217 = 3*s + l, -2*s + 2*l + 16 = 0. Calculate the lowest common multiple of s and 180.
180
Let z(x) = -x**3 - 17*x**2 - 16*x. Let n be z(-16). Suppose 4*p + 16 - 8 = n. Let h(u) = -u**3 - u**2 + 2. What is the least common multiple of h(p) and 2?
6
Suppose -1217 = 4*s + 943. Calculate the common denominator of (-6)/(-8) + 5/s and 56/39.
351
Calculate the common denominator of 11/56 and (150/(-2790))/(1232/198).
1736
Let p = -2393107/604 + 732/151. Let z = p + 3936. Let g = -103273/16 - -6457. Calculate the common denominator of z and g.
16
Suppose -3*l - 29 = -f, -5*l = -3*f - l + 62. What is the common denominator of 2/(-6) + (-9)/((-27)/44) and (-4)/f - 12/154?
33
Suppose 0 = -27*y - 4*y + 930. Suppose -2*r = -4*k + y, -k + 10 = 2*k - 4*r. Let q(j) = -j**2 + 7*j - 5. What is the smallest common multiple of k and q(6)?
10
Suppose 2*l + 8 = 0, 67*z - 70*z - l + 500 = 0. Calculate the common denominator of (7 - 14) + 963/z and -57/56.
56
Let h(u) = -4*u**2 - 3*u + 6. Let v(y) = 4*y**2 + 4*y - 7. Let p(a) = -5*h(a) - 4*v(a). What is the smallest common multiple of (-212)/(-24) + 2/12 and p(2)?
36
Find the common denominator of ((-832)/(-91) - 3)/(264/(-14)) and -21/52.
1716
Let d(k) = -3*k - 21. Let j be d(-6). Find the common denominator of (-1*65)/(15/(-3) + j) and 97/8.
