. Suppose 0 = -6*v + 5*v - 5. Let x be t(v). Let b = 13 - x. Calculate the smallest common multiple of b and 34.
34
Let t(d) = 3 + 3*d - d - d - 2*d. Let o be t(-5). What is the common denominator of 113/10 and (275/20)/(6/o)?
30
Calculate the lowest common multiple of (-2 - 4/(-2)) + 224 and 4.
224
Suppose 0 = 4*k - 20, 0 = 5*b + 2*k - k + 5. Let x = b + 8. Calculate the lowest common multiple of 7 and (x/(-15))/((-3)/75).
70
Suppose 3*o + 201*w = 202*w + 583, -591 = -3*o - 3*w. What is the smallest common multiple of 33 and o?
2145
Let o(u) = -u + 2. Suppose -5*v + 16 = -v. Let n = 2 + v. What is the least common multiple of o(0) and n?
6
Let d(p) = 39*p - 8. Let c be d(1). Suppose -c + 24 = -y. What is the lowest common multiple of 8 and y?
56
Calculate the least common multiple of 25/(-5) + 1 + 9 and 306.
1530
Let u = 1597/9 - 135151/765. Find the common denominator of 73/51 and u.
255
Let t = 17459/9 - 1936. Calculate the common denominator of t and ((-780)/(-350))/(3/20*2).
63
Find the common denominator of 10/107 and (1/2)/(161/(-874)).
749
Let h = -65 - -85. Let z = -2 - -8. What is the least common multiple of z and h?
60
Let p(k) be the third derivative of k**4/24 + 7*k**3/6 - k**2. Let l = -58 - -78. What is the least common multiple of l and p(5)?
60
Let j = 14640 + -14634. What is the lowest common multiple of (114/(-8))/((-2)/8) and j?
114
Let i(q) = q**3 + 13*q**2 + 13*q + 15. Let n be i(-12). Suppose -z + 1 = 2*c - n*c, 5*z - 41 = -4*c. Calculate the smallest common multiple of z and 1.
5
Let m = -308 + 520. Calculate the smallest common multiple of m and 6.
636
Calculate the common denominator of 1 - 3*52/36*1 and 127/12.
12
Suppose 66 - 12 = 3*l. Let u be (-1)/(-2)*176/(-8). Let r = u + 23. What is the lowest common multiple of r and l?
36
Let w be (-8)/14 - 50841/(-33418). Let m = -75/62 + w. Let y = -8/77 + m. What is the common denominator of y and -127/6?
66
Let l = -9279164 + 185539077/20. Let h be (-8835)/(-4) - 1/(-4). Let g = h + l. Calculate the common denominator of g and -25/16.
80
Let d = 10036 - 5328. Suppose 3932 = -3*j - d. Let z = -40373/14 - j. What is the common denominator of 61/10 and z?
70
Let n be (-4 - -1) + (31 - -4). Suppose -4*h = -68 - n. Let j = h + -9. Calculate the lowest common multiple of j and 10.
80
Let u = 2940/113 + -158659/6780. What is the common denominator of u and 87/40?
120
Calculate the lowest common multiple of 168 and (-2)/(-7) - 17/(833/(-868)).
504
Suppose -3*z + 2*z + 5*q = -501, -1408 = -3*z - 4*q. Let a = z - 7136/15. Calculate the common denominator of a and -14/3.
15
Let q(n) = 270*n + 5. Let r = 2 - -2. Let g be q(r). Let f = 7642/7 - g. Calculate the common denominator of -49/11 and f.
77
Let r = -951/13 - -20051/286. Calculate the common denominator of r and 61/284.
3124
What is the common denominator of (15/3)/(-1) - 972/(-117) and 97/10?
130
Let m = -38019/10 + 3808. Calculate the common denominator of m and ((-186)/36)/(8/(-6)).
40
Suppose -5*o + 13 = -12. Suppose 3*k = -2*m + 33, 2*m + 5*k - 24 = 11. Calculate the lowest common multiple of o and m.
15
Let p = 2 + 0. Calculate the lowest common multiple of 6 - 0 - (-4 - (1 + 0)) and p.
22
What is the common denominator of -13/540 and (5649/72)/(-7) - (-30)/5?
1080
Suppose -2*t + 46 = -2. Suppose 5*i - t = i. Calculate the smallest common multiple of (-24)/i*(0 + -1) and 4.
4
Let l be (1/2)/((-1)/6). Let x(p) = -4*p - 4. Let o be x(l). Calculate the least common multiple of 2 and 29/2 - 4/o.
14
Let d(p) = -p**2 + p + 2. Let g = 15 + -15. Suppose 0 = -b - 5*u + 24, 5*b + 5*u = 4*u + 24. What is the smallest common multiple of d(g) and b?
4
Calculate the common denominator of -3/76 and 505/120 - 9/(-12).
456
Let z be (14 + -4)*(-2)/(-4). Suppose -5*f = -c + 3*c - 76, -5*f + 70 = z*c. What is the lowest common multiple of 45/12 - 2/(-8) and f?
16
Let j = -16 + 24. Suppose 10*s - 60 = j*s. Suppose -2*d = -5*d + s. Calculate the least common multiple of 8 and d.
40
Let p be ((-6)/(-18))/((-2)/(-12)). Calculate the lowest common multiple of ((-30)/(-20))/((-6)/(-40)) and (6 + -4)/(p/9).
90
Suppose -6 + 4 = v. Let z(i) = 3*i**3 + i**2 - 2*i - 1. Find the common denominator of 561/17*10/42 and z(v).
7
Let h = -65/1028 - 970881/1028. Let r = -963 - h. Let u = -1745/9 - -202. What is the common denominator of u and r?
18
Let l(x) be the second derivative of x**5/20 + 5*x**4/12 + x**3/3 - 7*x. What is the smallest common multiple of l(-4) and 42?
168
Suppose -6 = -4*c + 30. Suppose 90 = -4*w + c*w. Calculate the least common multiple of w and 4.
36
Suppose 0 = -9*w + 7 + 2. Let x(h) be the third derivative of 13*h**5/60 - h**4/12 + h**3/6 + h**2. Calculate the smallest common multiple of 14 and x(w).
84
Let o = 14 + -4. Let w = -80 + 77. What is the lowest common multiple of o and (-3 - -18) + w*(1 - 0)?
60
Let d = -15723/20 + 3913/5. Calculate the common denominator of d and -97/6.
60
Let j = 69 - 129. Let v = j - -75. What is the smallest common multiple of v and 30?
30
Let r = -47777/18 + 2653. Let v = 1676/7 + -9559/42. Calculate the common denominator of v and r.
18
Suppose 4*i = 4*h - 8, -3*i + 5*h = 12 + 4. Calculate the common denominator of (55/(-20) + 4)/(-2) and i - (0 + 162/32).
16
Let j = -43622 - -5583545/128. What is the common denominator of j and -7/48?
384
Let s = -153 + 159. Suppose -3*m - m + 16 = 0. What is the smallest common multiple of m and s?
12
Let z be (-17305)/11 + (-18)/(-99). Let p = z + 6353/4. Find the common denominator of -59/8 and p.
8
Suppose -2*g - 3*t - 78 = g, 0 = -3*g + 5*t - 94. Calculate the common denominator of -73/8 and (-63)/(-448)*g/3.
16
Let m = -26877170185/44 - -610798505. Let w = m + 46274. Find the common denominator of w and -71/4.
44
Let c(m) = -3*m + 1. Suppose -172*a + 1084 + 3284 = 928. What is the lowest common multiple of a and c(-5)?
80
Let r = 721 + -601. Calculate the smallest common multiple of r and 44.
1320
Let a(w) = 2*w**2 - 2*w - 2. Let z be a(2). Let o = 23 - 1. What is the lowest common multiple of o and 44/10*10/z?
22
Let o = 948743/157032 - 1/19629. What is the common denominator of o and (-2)/(-36)*(97 - 0)?
72
Calculate the common denominator of 32/7 and 335/201 + ((-223)/42)/1.
14
Suppose 0 = 2*k + 3*k + 10. Let r = -100/23 + 2204/253. Find the common denominator of k + 6 - (-54)/16 and r.
88
Let o = 365 + -2123/6. Calculate the common denominator of o and 65/213.
426
Let o = 35 - 63. What is the common denominator of (-43)/(-21) - ((-4)/o + 0) and -139/18?
126
Let u(p) = -p + 1. Suppose -3*y + 61 = 1. What is the lowest common multiple of u(-1) and y?
20
Let s(x) be the first derivative of -7*x**3/3 - 8. Let g = 89/5 + -608/35. Calculate the common denominator of g and s(-2).
7
Suppose 340 = -476*f + 544*f. Let l = 18 + -12. What is the lowest common multiple of l and f?
30
Suppose 2*o = -4*g + 52, g - 8 = 2*o - 0*o. What is the least common multiple of g and -1*(-50)/4*(-8)/(-10)?
60
Let p = -63 + 65. Suppose t + 20 = 2*f, 2*f - 3*t - p*t = 36. Calculate the smallest common multiple of 28 and f.
56
Let g = 18 + -8. Calculate the smallest common multiple of g and ((-8)/(-14))/(18/189) + 0.
30
Let r = 141307/48 + -11773/4. Calculate the common denominator of -2/5 and r.
240
Suppose 41*y - 696 = -46*y. Calculate the least common multiple of y and 254.
1016
Let l(n) = -n**2 + 6*n + 3. Let u be l(4). What is the common denominator of -39/2 and (14 + -1)*1/u?
22
Let z = 31531/11928 - 1/1704. Find the common denominator of 5/((-60)/(-9)) + 12 and z.
28
Suppose 0 = -k + 7*k - 42. Suppose 0 = -2*y + 13 + k. Let m = 34 + -13. Calculate the smallest common multiple of m and y.
210
Suppose 0 = -0*q + 4*q + 4*o - 20, -3*q = 4*o - 17. Calculate the least common multiple of q + 1/3*57 and 14.
154
Let j = -728/19 - -48751/1254. Calculate the common denominator of j and -95/36.
396
Let k = 315371/48 + -6572. What is the common denominator of -119/48 and k?
48
Suppose 10*t - 71 - 9 = 0. Let n(f) = f**3 + 5*f**2 + 2*f. What is the smallest common multiple of n(-4) and t?
8
Suppose -m + 3*d = -7, 1 = 5*d + 6. Let t = 214 + -209. Suppose 0 = -4*s + 5*y + 74, 0 = t*s - 3*y + y - 84. What is the lowest common multiple of m and s?
16
Suppose 0 = -3*z + 9, 13*f - 9*f + z - 