67/(-45))/(6 + (-16)/3).
30
Let a = 34 - 34. Let f be (a - 2)/(4/(-6)). Suppose 4*k - w + f = 78, -5*k + 95 = -w. What is the lowest common multiple of 16 and k?
80
Let u(g) = -4*g - 237. Let x(w) = 13*w + 711. Let f(m) = 7*u(m) + 2*x(m). Let a be f(0). Find the common denominator of 6/8 + a/(-24) and 101/2.
8
Suppose -7*d + 990 = -9*d. Let g = -2466/5 - d. Calculate the common denominator of -38/3 and g.
15
Let a = 623 + -619. What is the smallest common multiple of 232 and a?
232
Let m = 5877 - 94119/16. Let x be 114/380 + 747/10. Calculate the common denominator of (0 + (-654)/x)/(96/120) and m.
80
Suppose 56*b - 62*b = 1122. Let p = -169 - b. Calculate the lowest common multiple of p and 24.
72
Suppose 20*o - 40*o + 9940 = 0. What is the least common multiple of 213 and o?
1491
Let f = -32095099/196 + 163750. What is the common denominator of 103/52 and f?
2548
Let w = -7/61235 - -503828/14880105. What is the common denominator of 17/2835 and w?
8505
Let m(r) = 6*r**2 + 14*r - 466. Calculate the lowest common multiple of 11 and m(14).
9966
Suppose 2*f + 45 = w + 2*w, -4*w + 5*f = -67. Suppose w*g - 17*g = -60. Calculate the smallest common multiple of g and (1 - -1) + (3 - -4).
45
What is the common denominator of -83/116 and (3/141*13)/(232/(-28) + 8)?
5452
Suppose 6*t - 18 + 0 = 0. Let c(u) = 22*u - 6. Let x be c(t). Suppose -6*m + x = -m. What is the lowest common multiple of m and 34?
204
Let b(r) = r**3 - 12*r**2 + 24*r - 20. Let h(q) = 13*q**2 + q - 2. Let a be h(-1). Calculate the least common multiple of 20 and b(a).
20
Suppose 5*m + 8 = 3*m. Let k(b) = 23*b + 4. Calculate the common denominator of k(2) and -3 + m/(56/(-30)).
7
What is the common denominator of (272/28 + -10)*(2 + (-15)/(-2)) and 2 + (224/(-69) - -1)?
483
What is the common denominator of 35201/(-17520) + 4/8*-4 + 4 and -47/8?
17520
Let m = -3/389171 + -740981179/52538085. Let y = m - -271/27. Calculate the common denominator of (1 + (-32)/30)*-44 and y.
15
Let f = -39/626 - -549804/313. Let p = -1800 + f. Find the common denominator of p and -149/30.
30
Let x = -316478941/255 + 1241085. Let z = 9/170 + x. Find the common denominator of z and 2 + 0 - (-32)/(-11).
66
Let z = 88 - 43. Let m = 605 - 585. Calculate the least common multiple of z and m.
180
Let v be -3 - (1 - 222/498). Let a = -14357/1494 - v. Find the common denominator of -109/36 and a.
36
Let y be 1 + ((-135)/(-6))/(6/392). Let i = 8917/6 - y. Find the common denominator of i and -5*(-3 + 68/24).
6
Let s = -138617/9044166 - -1/27658. Let l = -3086/4905 + s. Let f = l - -197/45. Find the common denominator of -73/9 and f.
45
Let q = 116936 - 380626684/3255. What is the common denominator of q and -113/350?
32550
Let l = 8171 - 5795. Let f be -1 - 0 - 21416/l. Let p = -124/11 - f. Calculate the common denominator of p and -35/3.
27
Let f(w) = -73 - 10*w - 10*w + 6 + 10*w. Calculate the smallest common multiple of f(-7) and 8.
24
Let j(t) be the third derivative of t**4/8 + 8*t**3 + 40*t**2. Let x be j(-6). Suppose p = -0*p + x. What is the least common multiple of 30 and p?
30
Let r = -831 + 1603/2. Find the common denominator of (-1749)/(-216) + 10/25*-25 and r.
72
Let s be (-32)/2*(1 + -3). Let i(x) = -2*x**2 - 8*x + 59. Let o be i(-8). What is the common denominator of 3 - s/(-1 - o) and 83/4?
4
Let b be 3/((-3883)/2328*-3 + -5). Suppose 4*w = 5*u - b, -2*u + 5*w - 317 = -4*u. What is the smallest common multiple of 8 and u?
312
Let q = -13/383 - -15321/22597. Calculate the common denominator of 2/(-8)*(-1259 + 1413) and q.
118
Let g(i) = 100*i + 916. What is the smallest common multiple of g(-9) and 1952?
1952
Let x be (112/6)/(18/(-135)). Let z = 145 + x. Suppose 0 = -0*g + g + 2*w + 5, 2*w + 10 = 0. What is the least common multiple of z and g?
5
Suppose -270 = -4*i - 130. Suppose -16*k = -253 - i. What is the smallest common multiple of k and 16?
144
Let p = -6226 + 6230. What is the smallest common multiple of p and 820?
820
Let i(c) = 5*c + 25. Let t be i(-17). Let u = t - -965/16. What is the common denominator of 59/88 and u?
176
Let i(u) = 3*u**2 - 54*u + 17. Let c be i(18). Suppose 48 = -9*t + c*t. What is the smallest common multiple of 1/(-2) + (-51)/(-2) and t?
150
Let t = 2033681/8494970 + -1/231681. Calculate the common denominator of 61/2670 and t.
29370
Suppose 793*w - 782*w = 4455. What is the lowest common multiple of w and 7?
2835
Suppose 4*z + 5*t = -19, 4*z + 34 = t - 3*t. Let h be 12204/572 - (-2)/z. Let c = h + 53/78. Find the common denominator of -61/6 and c.
6
Let c = 147 + -225. Let y be (c/52)/((-2)/4). Calculate the least common multiple of 32 and 36 - 2 - -2*(2 - y).
32
What is the smallest common multiple of 88 and 5748/3 + 7 - (-45 - -54)?
7656
Let h = -669 - -1244. Let j = 1063/2 - h. What is the common denominator of -31/16 and j?
16
Let f(o) = 2*o - 12. Let t be f(2). Calculate the lowest common multiple of 21 and t/(-2) + 0 + 10 + 4.
126
Let t(b) = 17*b**2 - 2*b + 1. Let g be t(1). Suppose 14*y = g*y + 32. Find the common denominator of 35/(-30)*(-6)/y and -95/8.
16
Let i = -7904 + 142291/18. What is the common denominator of i and -53/36?
36
Calculate the common denominator of (-888)/32 - 108/(-18) and 85/(-4) + (-8)/4.
4
Let q = -51019/30492 - 18/847. What is the common denominator of q and (-9 - 916/96) + 18?
72
Let m be -3 - 3/(2/(-8)*2). Suppose u - 126 = -m*x, -126 = -3*x - 0*x - 3*u. What is the smallest common multiple of x and 48?
336
Let w be (-28)/2*5/((-70)/(-4081)). Let q = w - -24547/6. Find the common denominator of (-2)/(-20)*159/(-3) and q.
30
Suppose -36732*m + 1664 = -36724*m. Calculate the least common multiple of m and 40.
1040
Let f = -467 + 3552. Suppose -p - 3250 = -u, -2*p + f = 3*u + 9560. Calculate the common denominator of 2/7 + p/847 and -23.
11
Suppose -3*h + 41 = 38. Let y = 55 + -18. What is the lowest common multiple of y and (-21 + h)/(2/2*-2)?
370
Let n = 25830 - 14570. Calculate the least common multiple of 20 and n.
11260
Let b = 8049443/1279416 + 9/53309. Find the common denominator of b and (-40)/(-7)*(-14)/99.
792
What is the common denominator of (-3 - -9)*(-4)/(-315) and ((-236)/354)/((-16)/99)*2/(-18)?
840
Let v = 531/91 + -4955/728. Find the common denominator of v and 3/14.
728
Calculate the smallest common multiple of 24 and 17/((-238)/1953)*-18.
20088
Suppose -38*n + 46*n - 1210 + 82 = 0. What is the smallest common multiple of n and 1410?
1410
Let a be 20/(-35) + (-5)/(105/366). Let c(v) = -v**2 - 19*v + 12. Let i = -11 - -38. Calculate the lowest common multiple of i and c(a).
270
Suppose -11 = -i - 4*v, -4*v - 19 + 3 = 0. Suppose 531*w - 529*w = -4*h + 6, -5*w - h = -15. What is the smallest common multiple of i and w?
27
Let p = 45355/12 - 3777. Suppose 5*k - 1651 = -2*z - 9044, -2*k = -3*z - 11137. Let b = z - -66781/18. Find the common denominator of b and p.
36
Let s = 97 + -91. Let f be (-8 + s)*(-15)/6. Suppose 4*w = -o + 10, -2*w = -f*o + 3*o. What is the smallest common multiple of w and 22?
22
What is the common denominator of 33/208 and -6 + (-7)/(210/(-15))*937/78?
624
Suppose -9 = -5*x + 16. What is the common denominator of ((-423)/30)/(6/x) and 2 - 7/((-280)/(-348))?
20
Calculate the common denominator of -163/3486 and (-150)/((-75)/3) + 8877/(-1494) + 0.
3486
Let v(w) = -4*w**2 + 19*w + 166. Let u(l) = -3*l**2 + 22*l + 167. Let x(i) = 5*u(i) - 4*v(i). What is the lowest common multiple of x(-28) and 201?
201
Let v = 1445 - 1480. Let o be (53/4)/(1/4). Let n = v + o. What is the lowest common multiple of 8 and n?
72
Let z = 12999 + -143023/11. Find the common denominator of -25/151 and z.
1661
Let q = -1545/7 + 138973/630. Find the common denominator of 50/243 and q.
2430
What is the common denominator of 63/8 and (-9)/(-18) + 351/(-132) - -2?
88
Find the common denominator of 101/320 and ((-79486)/(-9120) - 9) + 4/38.
960
Suppose 1040 = 84*v - 58*v. Let i(o) = -8*o - 3. What is the smallest common multiple of i(-6) and v?
360
Let v = 184333/40 - 4608. Find the common denominator of 83/212 and v.
2120
Suppose 0 = 2*q + 6, 5*v + 5*q - 3*q = 9. Let p be v/(-1) - (-10)/(-5). Let f(x) = -x**3 - 5*x**2 - x - 2. Calculate the lowest common multiple of 27 and f(p).
27
Suppose 48*y = 49*y - 5. Suppose -