4
Let p(r) = r**3 + 12*r**2 - 10*r - 60. Let d be p(-12). Suppose 18*y = 240 - d. What is the least common multiple of y and 106?
530
Let a(y) be the first derivative of -5*y**2/2 + 44*y - 12. Let d = -8 - -15. What is the least common multiple of a(-6) and d?
518
Let h(v) = v**3 - 4*v**2 - 11*v - 19. Let m be h(8). Let y = m + -256. Let c = y - -116. What is the smallest common multiple of 9 and c?
9
Let q = 970301/1482684 + 6/17651. What is the common denominator of 107/1656 and q?
11592
Let v = 93311 + -12317191/132. Calculate the common denominator of 4/(-2) + 155/24 and v.
264
Let j = -267179 - -267184. Suppose -3*y - d + 460 + 67 = 0, 2*y = -3*d + 356. Calculate the lowest common multiple of y and j.
175
Suppose -q = 2*c - 6*c - 6761, -3*c = 5*q - 33874. Let r = -354612967 + 26241860737/74. Let u = r - q. What is the common denominator of u and -19/4?
148
Suppose -4*c + 1960 = -11*c. Let h = -275 - c. What is the least common multiple of 1 and h?
5
Let c = -793885/16258 - -2149/44. What is the common denominator of c and 113/20?
14780
Let a be 3/2*176/6. Let w = 47 - a. Suppose -5*i + w*k = -46, -3 + 21 = 3*i + 3*k. Calculate the lowest common multiple of 3 and i.
24
Suppose 2*n + 260 = -3*o, 0*o = 2*o - n + 178. Let p = -2/16349 - -1782065/196188. What is the common denominator of (2/(-5))/(o/690) and p?
132
Suppose 3*r + 3*r - 6 = 0. Calculate the common denominator of (4/10)/((-256)/8) and 2577/198*r + 10/(-55).
240
Let y = -2/10941 + 69319/142233. Find the common denominator of 60/91 and y.
273
Let z = 6942 + -912. Calculate the lowest common multiple of 90 and z.
6030
Suppose 0 = 23*q - 27*q + 96. Suppose 4 = -3*n + 7, 3*i = -5*n + 53. What is the least common multiple of i and q?
48
Let c = 76 + -54. Let r = 25 - 13. Suppose 2*m - 5*m + r = 0. Calculate the lowest common multiple of m and c.
44
Let k = 57 + 19. Let q = -72 + 73. Suppose 22 = 4*a - 5*d - q, 2*d = 4*a - 38. Calculate the smallest common multiple of k and a.
228
Suppose 4*h + 609 = -311. Find the common denominator of (258/(-16) + -2)*23/h and (-2)/132*(-75)/(-10).
176
Let a = 300/2779 - 38089/216762. Find the common denominator of a and -173/84.
1092
Let t = -4193 + 4237. Let x(g) = 14*g**2 - 5*g + 6. What is the smallest common multiple of x(-2) and t?
792
Suppose 12 = -t + 3*t. Suppose -3 = t*u - 51. Let o(q) = 4*q**2 - 13*q + 14. What is the least common multiple of o(3) and u?
88
Let y be -34*2/(-14)*35/(-10). Let f = -5 - y. What is the smallest common multiple of 16 and f?
48
Let n(y) = 124*y - 1844. Calculate the least common multiple of 528 and n(17).
528
Suppose -2*p - 4*c - 16 = 0, p - 2*c + 0*c = 4. Calculate the common denominator of (-2)/(-24)*42*(-43)/(-7) and 459/165 + p/(-5).
22
Find the common denominator of 69/400 and (276/(-360))/(60/8).
3600
Let w = -424 + 613. Let f be w/105*(-20)/6. Calculate the common denominator of (144/256)/(f/8) and -29/37.
148
Let h = 1000154 + -59922791/60. Let w = -1440 + h. What is the common denominator of -19/66 and w?
660
Let z(j) = -12*j - 75. Let v be z(-3). Let d = 54 + v. What is the lowest common multiple of d and 36?
180
Let m = -4850 + 189083/39. Calculate the common denominator of m and 50/(-775) - 2260/(-10044).
1053
Let t = -6797949/3740 + 9088/5. Find the common denominator of 103/68 and t.
748
Let c = -7812142951 + 645439250850221/82620. Let k = 19/4131 - c. What is the common denominator of k and 47/20?
60
Suppose 6*f = 209 - 215. What is the least common multiple of 22 and (-16)/80 + f/((-10)/102)?
110
Let a = -5059/1764 + 82/49. Let k = 32606062 - 880704298/27. Let b = -12614 - k. Find the common denominator of b and a.
108
Let y be (-326)/(-72)*(-6 - -3). Let m = y + 1843/156. What is the common denominator of m and 12 - (-10 - (-1420)/55)?
143
Let y be ((-2)/(-6))/(-6 - (-1880)/312). What is the least common multiple of (y/4 + -4)/((-12)/16) and 127?
127
Let s(g) = 3*g + 3. Let q be s(-3). Suppose 0 = -31*b + 2*b + 1711. Find the common denominator of -53/10 and (b/q)/((-16)/(-6)).
80
Suppose -w = 4*w. Suppose w = -5*k + 4*k + 3. Suppose -293 = -41*n + 322. What is the smallest common multiple of n and k?
15
Let v = 209/12 + -94169/5412. What is the common denominator of -23/4 and v?
1804
Let p(l) = 5*l**2. Let r be p(2). Suppose -16 = -6*t + r. Calculate the common denominator of -71/9 and (174/(-32))/(4/(-32)*t).
36
Let z = -35813/18936 + 127/72. Calculate the common denominator of z and 5/4.
1052
Let t(l) = -6*l**3 + 30*l**2 + 17*l - 16 + 2*l**3 - 45*l**2 + 3*l**3. Let u be t(-16). Calculate the common denominator of 2 - 4/10*(-1540)/u and 4/9.
36
What is the common denominator of -67/128 and (-20 - (-60750)/3040)*6/4?
2432
Let w(a) = -a**2 + 6*a + 3. Let k be w(6). Let t(r) = 5 - 5*r + k*r - 3 + 8*r**2 + 5*r. What is the least common multiple of 8 and t(-1)?
56
Let z = -67262 - -127797803/1900. Let o = -20189/950 + z. Let h = 791/36 + o. Find the common denominator of h and 61/24.
72
Let d(n) = 2*n**2 + 594*n + 26625. What is the least common multiple of (-1414)/(-8) + (-2)/(-8) and d(-55)?
885
What is the common denominator of -95/6172 and ((-4)/(-20))/(380/(-1425))?
6172
Suppose -8549 = -89*z - 41*z + 2111. What is the lowest common multiple of z and 3?
246
Suppose -114*u = -37*u - 1540. What is the smallest common multiple of 80 and u?
80
Let y = 247 - 244. Suppose 4*d = -v - 1, -y*d = -11 + 17. Calculate the least common multiple of 58 and v.
406
Let h = -249796381/2670744648 - 2/2334567. Calculate the common denominator of -47/16 and h.
2288
Suppose -9*y - 4054 = -10759. Suppose y + 1495 = 8*u. What is the least common multiple of u and 8?
280
Calculate the common denominator of 151/798 and (-14)/(-16*(-17)/(-221)).
3192
Suppose -129*j = -75261 + 17211. Calculate the smallest common multiple of 48 and j.
3600
Calculate the least common multiple of (-937)/(-20) + 24/160 and 3.
141
Suppose -c - 4*q + 7*q = -2792, q - 5584 = -2*c. Calculate the least common multiple of c and 10.
13960
Let b = 252 + -257. Let p(t) = 6*t**2 + 35*t + 130. Calculate the least common multiple of p(b) and 78.
2730
Find the common denominator of ((-10)/25)/(528/(-1 - (-2732)/(-8))) and -107/36.
1584
Let y be (1/(-27))/(4/1497774). Let k = y - -13875. Find the common denominator of 29/210 and k.
630
Let z = -2142 - -3240. What is the smallest common multiple of z and 24?
4392
Let y(m) = 106*m - 1342. Calculate the lowest common multiple of y(13) and 183.
2196
Suppose 4*y + 241 = 253. Suppose 39 = j + 2*j. Let g = j + -8. What is the lowest common multiple of g and y?
15
Suppose -305 = -19*z + 4*z + 355. What is the lowest common multiple of z and 100?
1100
Suppose -30*s - 38 = 8*s. Calculate the common denominator of 65/9 and 78/216*(0 + 3 - s).
9
Let x = 1690/213 - -2087243/852. Let t = x - 2471. Let v = -418123/73026 + 14/4057. Calculate the common denominator of t and v.
36
Let u(d) = 313*d + 7453. What is the least common multiple of 528 and u(-21)?
2640
Suppose 15510 = 2*u - 4490. Suppose 9950 = 3*b - 5*j, -3*b = j + 4*j - u. What is the common denominator of -27/14 and b/(-105)*(1 - (-11)/(-14))?
14
Let p be (-2)/4 - 227/(-2). Suppose p = 2*h - 37. Let o = h + -29. Calculate the smallest common multiple of 4 and o.
92
Let o = -208 - -65. Let n = o - -245. What is the smallest common multiple of n and 3?
102
Find the common denominator of 2815/(-350) + 38/95 and 47/1842.
12894
Let j = 47 - 26. Let a be ((225/12)/(-5))/((-2)/8). Let b = j - a. What is the lowest common multiple of b and 9?
18
Let a be (48 + (-12)/6)/2. Suppose -19*h + 251 = a. Suppose -37 - 83 = -4*i. What is the least common multiple of h and i?
60
Let i be (48/10)/(2/(-10)). What is the common denominator of (180/(-48))/((-1)/(-6)) and (134/(-30))/(i/(-20))?
18
Let h = 3160 + -1885. Let c = -405 + h. Let w = -3395/4 + c. What is the common denominator of w and -40?
4
Suppose 4*x + 3*f = -965, -15*f = 5*x - 19*f + 1245. What is the common denominator of -123/20 and (x/240 - -1)*-61*2?
120
Let q(u) = -2*u**2 + 44*u. Let o = 123 + -101. Let v be q(o). What is the common denominator of v + ((-140)/48 - -4) and 49/40?
120
Suppose 0*l + 4*l + 12 = 0, y = 4*l + 13. What is the least common multiple of -1 - (-5 + 11) - -20 and (-5)/((3/(-3))/y)?
65
