 (-1)/29*-143)/(77/(-14)) and -57/986.
10846
Let q = 7203 - 129679/18. What is the common denominator of q and 21/274?
2466
What is the common denominator of (4/1)/(-2) - 131/(-80) and -94*50/(-4992) + (-721)/9373?
480
Let c(u) = -7*u + 37. Let p(y) = 4*y - 18. Let r(m) = 3*c(m) + 5*p(m). What is the smallest common multiple of r(7) and 20?
140
Let f = 577527867/1265260 - -3/63263. Let o = -2376/5 + f. What is the common denominator of -17/100 and o?
100
Let w = 30 - -94. Let f = 89 - w. Calculate the common denominator of 2/(-7) + -1*136/f and -123/10.
10
Let y = 925201/235 + -3937. What is the common denominator of 21/11 and y?
2585
Let c = -502 - -516. Let s(n) = 2*n**3 - 5*n**2 - 4*n. Let o be s(4). What is the least common multiple of -8*10*(-4)/o and c?
70
Calculate the least common multiple of 752 and 1332/555*(-190)/(-3).
14288
Let l(w) = 7*w**3 - 5*w**2 + 26*w - 142. What is the least common multiple of 880 and l(4)?
2640
Let k = 19 - -11. What is the least common multiple of 78/k - (-4)/10 and (-8)/6*3/10*(-15)/1?
6
Suppose 224*t - 230*t = -6. Suppose -6*r + 10*r - 156 = -4*i, 0 = -r - t. Calculate the lowest common multiple of 88 and i.
440
Let i = -37417 + 4714369/126. Calculate the common denominator of i and 29/686.
6174
Suppose 0 = y + 2*k + 5, -11 = -y + 5*k + 12. What is the common denominator of (-6)/(-9) + 49/27 and ((-2)/(-18))/(217/75 - y)?
216
Let d = 432 + -425. Suppose 0 = -2*k - d*k + 297. What is the least common multiple of 225 and k?
2475
What is the least common multiple of 1488 and (-4650)/(-65) - (-204)/442?
4464
Let t(b) be the third derivative of -b**4/24 + 3*b**3/2 + 414*b**2 - 2*b. Let n be (1*-3)/(3/2). What is the lowest common multiple of t(n) and 2?
22
Calculate the common denominator of 53/((-10017)/162) - 2246/(-252) and ((-2)/((-8)/(-39)))/((-225)/350).
18
Suppose 16*z - 18 = 13*z. Let t be 54*(1 - (1 + (-9)/z)). Suppose 4*f = -25 + t. Calculate the lowest common multiple of f and 4.
28
Let x(n) = -3*n**3 + 48*n**2 - 180*n + 22. Calculate the lowest common multiple of 2756 and x(6).
30316
Let u = -11 - -81. Suppose -2*f - 2 + 18 = 5*q, -5*q + 40 = 5*f. Calculate the smallest common multiple of u and f.
280
Suppose -m + 1017 = 3*l, 317*l - 310*l - 21 = 0. What is the lowest common multiple of 280 and m?
5040
Calculate the common denominator of 38/(-8)*2*(20564/(-5883))/(-97) and -61/164.
18204
Let h(l) be the first derivative of l**2/2 - 2*l - 8. Let k(n) = -n**3 + 9*n**2 - 7*n + 69. Calculate the smallest common multiple of k(9) and h(5).
6
Let t = -5744 - -183785/32. Let b = 31847/19296 + 7/1206. Calculate the common denominator of b and t.
32
Let u be 21/(-7) + 1 + 571223078/468. Let v = u + -15948960/13. Let w = v - -6281. What is the common denominator of w and -31/12?
36
Suppose 95 = -41*j + 1787 - 93. What is the smallest common multiple of (6/(-5))/(1/(-15)) and j?
234
Let p = -2621 - -15811/6. Calculate the common denominator of p and 73/150.
150
Let r(i) = -19*i + 4. Let u be r(-4). Let x be 1/1 + u/(9 + -4). Suppose 3*l - 5*o = x, l + 2*o = -2*o. What is the least common multiple of 22 and l?
44
Calculate the lowest common multiple of (60 + -66)*(-3 + (-408)/18) and 426.
32802
Suppose -2113 = 5*a - 23. Let j = a + 430. Calculate the smallest common multiple of 254 and j.
1524
Suppose 0 = -3*n + 13*s - 12*s + 27, -5*s = -15. Suppose o - 4*m = 22, 9*m - n*m = 3*o - 14. Calculate the lowest common multiple of 126 and o.
126
Calculate the lowest common multiple of (-3 - (-88)/33)/(1/2115*-1) and 1128.
5640
What is the common denominator of 95/164 and -4 - (18/(-6) - 2090/2460)?
492
Let t = 46 + -78. Find the common denominator of (-6)/8 - 412/t and (11/(-2) + 6)/((-6)/540).
8
Let f = -3/7240 + -170101/94120. Calculate the common denominator of -55/1198 and f.
15574
Suppose 83*f - 1059 = 2676. Calculate the least common multiple of 15 and f.
45
Calculate the common denominator of -5/9 and ((-2284)/1146 - -2)/((-22)/42).
18909
Let b = 31/24 + -19/16. What is the common denominator of 695/(-8)*(-2 - (-96)/45) and b?
48
Let v = -122207/14 - -8734. What is the common denominator of 1/610 and v?
4270
Suppose 4*h = 86 - 918. Let i = -204 - h. What is the smallest common multiple of 140/18 + (-6)/(-27) and i?
8
Let f = -245 + 323. Find the common denominator of -91/6 and (-46)/(-115)*(1 - f/(-8)).
30
Let a = -2131 - -19238/9. Let o = -7901894/57 - -138630. Calculate the common denominator of o and a.
171
What is the lowest common multiple of 2 and (636/(-6))/((-10)/(-15)*9 - 7)?
106
Let a = 36472 + -3428313/94. What is the common denominator of a and -57/2?
94
Suppose -4*y + 5*p = -165, 110*y = 115*y + 5*p - 195. What is the smallest common multiple of y and 956?
9560
Let f(x) = -2*x - 32. Suppose -3*w - 70 = -n, -2*w - 9 = -n + 39. Calculate the lowest common multiple of 4 and f(w).
12
Suppose 2*i - 31 = -2*i + o, o - 50 = -5*i. Calculate the least common multiple of 55 and (-8 + -7)/((-3)/i).
495
Let b = 434 - 236. Suppose 3*d - 4*a = -24, d + 40 = -492*a + 496*a. Calculate the smallest common multiple of d and b.
792
Let l = 544 - 1572. Suppose -4*q - 7489 = 5*t - 2118, -2*t = -2. Find the common denominator of l/q + 3*(-6)/63 and 37/33.
528
Suppose 0 = 23*s - 12*s - 13321 + 2596. Calculate the smallest common multiple of 169 and s.
12675
Let f be (-2)/4*(-21 + 31). Let w = -134623/10 - -13450. Find the common denominator of w and ((-1205)/140 - f) + (-16)/(-4).
140
Let g = -642/13 + 2599/65. Calculate the common denominator of -89/770 and g.
770
Let s = 3827/510 - -28/85. Let x(d) = -d**3 + 25*d**2 - 11*d - 177. Let v be x(24). Find the common denominator of (-8)/20 + 1109/v + -7 and s.
54
Let q(n) = -n**3 - 5*n**2 - n + 6. Let k(r) = -8*r + 81 - 3*r - 107 + 14*r. Calculate the smallest common multiple of k(12) and q(-5).
110
Let a be 2/(-7) - 1701613/1449. Let v = a - -72172/69. Let m = v - -878/7. What is the common denominator of -131/6 and m?
18
Let u = -29372/13 + 706007/312. Find the common denominator of 169/(-120) + 2/(-3) and u.
120
Suppose j + 3*q = -927, 0 = -4*j - 0*j + 2*q - 3736. Calculate the common denominator of j/45 - (-16)/40 and 46/13.
39
Let p be (194406/20)/(36/(-10)). Let a = p - -2702. Let j = -418/15 - -6043/240. Calculate the common denominator of a and j.
48
Suppose 29*s - 21*s = 0. Calculate the least common multiple of (-3 + s)/(-3) - (-1 - 10) and 27.
108
Let c(w) = -8*w - 281. Let n be c(30). Let i = 522 + n. Calculate the least common multiple of i and 63.
63
Suppose 2*r = 5*r + 2*r. Suppose -4*w - 4 + 92 = r. Let g = -70 + 74. What is the lowest common multiple of w and g?
44
Suppose 36*o - 831 = -183. What is the lowest common multiple of 277 and o?
4986
Find the common denominator of (4/72*-1)/(156/(-10796)) + -4 and 28/9.
702
Let j = 54 + -156. Calculate the lowest common multiple of (-3)/((j/120)/17) and 9.
180
Suppose 0 = -11*r + 28 + 16. Suppose -504 - 24 = -r*x. Calculate the smallest common multiple of x and 8.
264
Let i(g) = 2*g**2 + 24*g + 58. Let b be i(-8). Let t(m) = -51*m - 264. What is the lowest common multiple of 210 and t(b)?
210
Calculate the common denominator of 7 + (4/(-1) - (-8 - 108392/(-9920))) and -37/8.
1240
Let k = 49605 + -81900. Let f = -3940037/122 - k. Find the common denominator of -17/6 and f.
366
Let p be ((-30)/20)/((-6)/20). Suppose 50 = 3*s + p. Suppose -s*k + 16*k - 9 = 0. Calculate the least common multiple of k and 6.
18
Calculate the smallest common multiple of 8 and ((-25)/3)/(450/(-702) - 16/(-52)).
200
Suppose y + z - 13 = 0, 23*y + 38 = 28*y - 4*z. Calculate the lowest common multiple of 385 and y.
770
Let h = 4364 + -4154. Calculate the lowest common multiple of 24 and h.
840
Let x = 904/17935 - -1158862213/1578280. Let u = 734 - x. Calculate the common denominator of u and 83/64.
704
Let y be 4/((-100)/(-26255)) + (-2)/10. Suppose -23*h + 33*h - y = 0. Calculate the lowest common multiple of 21 and h.
105
Let i be 3 - (-1 + (-272694)/52). Let u = i + -5247. Let y = 1651/70 - -32/35. Calculate the common denominator of u and y.
26
Suppose -13*v + 15*v = -12. Let g be 6/v - (0 - 17). Calculate the common denominator of (-404)/(-20)*(-20)/g and -9/8.
8
Calculate the common denominator of ((-324)/64)/((-10)/(-8)) and (5