 q and 483?
7245
Let p be 2510/60 + (-2)/(-12). Calculate the common denominator of (1 - -2) + p/(-4) and ((-308)/2156)/(6/287).
6
Let q(s) = 28*s + 2080. Calculate the least common multiple of 12 and q(0).
6240
Suppose 0 = l + l - 8, -3*l = -2*i + 6. Calculate the lowest common multiple of i and 27.
27
Calculate the common denominator of 711/237*(-278)/756 and 29/6.
126
Let m(t) = t**2 - 37*t - 50. Let n be m(27). Calculate the common denominator of 3036/n + 6 + 4 and 81/20.
80
Suppose a + 12 - 60 = -4*x, 5*x - 71 = -4*a. Suppose 201 - 69 = x*p. What is the least common multiple of p and 24?
24
What is the common denominator of -52/25 and ((-230)/30)/((-95)/30 + 5)?
275
Let j(s) = 3*s**2 + 117*s + 232. Let z(f) = f**2 + 39*f + 77. Let k(r) = -3*j(r) + 8*z(r). What is the least common multiple of 30 and k(-35)?
60
Suppose -3*k + 12 = 2*s, 3*s + 39 = 21*k - 16*k. Let r = 424 + -54. Calculate the common denominator of 51/4 and 1 + (-4)/k + r/24.
4
What is the smallest common multiple of 74 and 85/(-1190) - 11397/(-14)?
814
Suppose -32*g = -775 - 25. What is the smallest common multiple of g and 435?
2175
Suppose -a = -6*i + 2*i + 678, 4*i + a = 674. Suppose -23 = 6*o + i. Let k = -24 - o. Calculate the smallest common multiple of k and 5.
40
Suppose -2623 = -10*n - 704 + 881. Calculate the least common multiple of 210 and n.
840
Let b(u) = 180*u**2 - 17*u + 57. What is the lowest common multiple of 8 and b(3)?
6504
Suppose 3*t = -d - 5, 3*t - 4*d = -0*t + 20. Suppose 2*j + 11 - 27 = t. Calculate the lowest common multiple of j and (121/(-22))/(2/(-4)).
88
Let u = -1087/78 + 231/13. Let k be (-16822)/(-23010) + (-2)/10. Let d = 6563/4248 - k. What is the common denominator of d and u?
72
Let b = -59 + 99. Suppose -2*u + b = 3*u. Find the common denominator of (76/(-70))/(u/10) and 99/10.
70
Let s be 5/((-20)/(-74622188))*-1. Let x = -335942819/18 - s. Let y = -7935 - x. What is the common denominator of 89/10 and y?
90
Suppose 0 = 33*n + 1130 - 3770. Calculate the smallest common multiple of 212 and n.
4240
Let y(m) = 402*m + 13*m**2 + 395*m - 13 - 805*m. What is the least common multiple of 5 and y(-2)?
55
Let d be (-2 + 3 + 1 + -2)/3. Suppose d = -11*i + 5 + 6. Suppose -56*l + 198 + 82 = 0. Calculate the least common multiple of l and i.
5
Let z = -1320064979/30 - -43990469. Let g = -11699 - z. Calculate the common denominator of 12/16*122/45 and g.
30
Let w = -4793 + 5053. Calculate the least common multiple of w and 340.
4420
Let f = -48 - -39. Suppose 5*a = -2*k + 13, 3*k = 7*k - 2*a + 34. Calculate the common denominator of -137/6 and (-113)/6 - k/f.
6
Suppose 2*d = -d + 3507. Let c = -1277961 - -20466103/16. Let b = d - c. What is the common denominator of b and 53/4?
16
Calculate the common denominator of 9/(-18) - 24/(-33) and 14455/2926 - (-12)/114.
22
Suppose -31734 = -58*a - 30*a - 35*a. What is the lowest common multiple of a and 430?
1290
Let t(n) = -n**3 + 24*n**2 - 28*n + 55. Let h be t(23). What is the common denominator of (6/h)/(-2*(-3)/672) and -63/10?
10
Let o = -7/159 + -9619/45156. What is the common denominator of 89/710 and o?
1420
Let d be 69/(((-35)/(-133))/1). Let g = d + -1282/5. What is the common denominator of g and 81/140?
140
Let l = 14/53 - -2312/477. Let x be 1/8*(-220956)/(-12). Let f = x + -2308. What is the common denominator of l and f?
72
Let c(b) = 515*b**2 - 6*b + 93. Let y be c(-16). Let o = 69711337/528 - y. Find the common denominator of o and -3/10.
2640
What is the lowest common multiple of 81 and (2 - -13)*((-9)/20)/(12/(-16))?
81
Let t be 6/5*2*(-65)/(-26). Let r be (22/t)/((-5)/(-15)). Suppose 6*n = r*n - 40. Calculate the lowest common multiple of n and 19.
152
Suppose -10*f - 277 = 383. Let a = 106 + f. What is the common denominator of 6/a*(5 + (-596)/72) and -113/20?
120
Let s = 293664661 + -1206961744759/4110. Let w = -65/137 + s. Calculate the common denominator of -49/4 and w.
60
Suppose -5*h - 6412 = -12*h. Let i = h - 626. Calculate the smallest common multiple of -2 + i/22 + 28/(-154) and 10.
110
Suppose -4*w + 43 - 143 = 4*p, 4*w + 50 = -2*p. Let h = p - -35. Suppose 5*n - a - 9 - 2 = 0, -2 = 2*a. What is the smallest common multiple of n and h?
10
Calculate the common denominator of ((-11)/(-308))/((-3588)/(-4550)) and 65/69.
552
Let u be (60 + 2)*((-5680748)/16 - 0). Let x = -204323736569/9282 - u. Let a = x + -3/221. Find the common denominator of -29/30 and a.
210
Calculate the common denominator of (2 + 46/(-20))/(59241/(-882)) and 89/260.
8060
Let a = 20849 + -4503425/216. Calculate the common denominator of a and 71/1512.
1512
Suppose 0 = 15*p + 49 + 41. What is the common denominator of 111/56 and (9/p - 5)/(48/28)?
168
Let l = -160/29 + 30169/5568. Calculate the common denominator of -49/512 and l.
1536
Let h(w) = -10*w + 173 - 46*w + 25*w. What is the smallest common multiple of 322 and h(5)?
2898
Let m = -34035651494/2375161785 + -2/25001703. Let a = 366/19 + m. Calculate the common denominator of 7/3 and a.
15
Let r(d) = d + 10. Let i be r(-6). Suppose -5*y + 12*w = 10*w - 25, i*y - 3*w = 13. Calculate the lowest common multiple of y and 7.
7
Let k = -1845353/48 - -38443. Let j = -727 + 275. Calculate the common denominator of j*1/240 - (-4)/3 and k.
240
Suppose -5*v = -59 - 1. Suppose 40 = -38*f + 28*f. Let x(y) = -31*y - 94. What is the least common multiple of v and x(f)?
60
Let q = -1/13511 - 553933/243198. Calculate the common denominator of q and ((-6)/(-30) + 457/60)*24/(-84).
90
Suppose 5*g - 70376 = -3*s, -33*g + 34*g + 6*s = 14086. What is the smallest common multiple of 22 and g?
154814
Let s(i) be the first derivative of -i**2 + 17*i - 21. Let a be s(5). Let v(c) = -c**3 + 6*c**2 + 10*c + 1. What is the least common multiple of v(a) and 1?
22
Let z = 1/5 + -287/10. Let t = 14419 + -1643777/114. What is the common denominator of z and t?
114
Let t(c) = 3*c**3 + 20*c**2 - 10*c - 3. Let a be t(-7). What is the common denominator of -34/7 and 219/a*4/((-40)/(-5))?
84
Suppose -3*v - 7 = 11. Let r(g) = -120*g - 9 + 64*g + 8 + 54*g. Calculate the smallest common multiple of 51 and r(v).
561
Let r = 41315773665/11794 + -3503118. Calculate the common denominator of r and 55/16.
94352
Suppose -i - 3*i = 2*t - 846, i + t = 212. Suppose -4*y - 581 + i = 2*k, -375 = 4*y + k. Let u = -83 - y. Calculate the least common multiple of 3 and u.
12
Let l(r) = 2*r - 6. Calculate the smallest common multiple of 135 + (28/(-20))/((-3)/(-15)) and l(7).
128
Let w be (-1292)/(-7) + (-12)/21. Let d = 223 - w. Calculate the lowest common multiple of d and 2.
78
Let c(y) = 2*y**2 + 3*y - 3. Let j be c(2). Suppose -j*z + 106 + 37 = 0. Let f(x) = 12*x - 20. What is the smallest common multiple of 22 and f(z)?
1496
Suppose -5*a = 39322 - 40762. What is the least common multiple of 138 and a?
6624
Let t = -77821/4004 - -1490/77. What is the common denominator of t and -93/1586?
22204
Let j(b) = -4*b**3 - 4*b**2 - 2*b - 29. Let o(n) = 5*n**3 + 3*n**2 + 2*n + 29. Let t(i) = -4*j(i) - 3*o(i). What is the least common multiple of 45 and t(-7)?
45
Let p = -145442 + 4222326701/29031. Let l = p - 1306111/8244804. What is the common denominator of l and -107/18?
2556
Let f be (192/(-18))/(12/(-4374)). Find the common denominator of 2/27 + 11862/f and -22.
8
Suppose -a + 6*a = 8*a. Suppose -4*f - 5*w - 93 = a, -3*f - 2*w + 20 = -4*f. What is the common denominator of -17/28 and f/10 - ((-27)/6 + 4)?
140
Let s = 88207/202 - 2621/6. What is the common denominator of 35/808 and s?
2424
Let l = 74 - 71. Let z = 153 + -148. Suppose 9*c = m + 14*c, z*m + 5*c - 60 = 0. What is the lowest common multiple of m and l?
15
Let r(q) = 19*q**2 + 36*q + 26. What is the smallest common multiple of r(-2) and 5*((-384)/10)/(-2)?
480
Let a = 3746 + -3206. Calculate the lowest common multiple of 840 and a.
7560
Suppose 3*y - 4*y - 19 = -5*q, 3*q + 3 = -3*y. Find the common denominator of q + 30/(-8) - 148/96 and 15/(-20) + 741/396.
264
Let l = -47140 - -25078467/532. Find the common denominator of l and 53/7.
532
Suppose -65*w + 829 + 711 = 12*w. Calculate the lowest common multiple of w and 4000.
4000
Let q = -6686 - -6693. Suppose u - 8 = -u. Suppose -4*c - 2*o - 18 = -6*c, -u*o - 6 = 2*c. What is the least common m