common multiple of d and 19 - (v + 1)*-1?
231
Suppose 4*i = -4*c - 28, -4*i - 4 = -c - 3*c. Let t = 289049/702 - 10771/26. Calculate the common denominator of t and (34/c)/(1 + -21).
270
Let b = 117169/279576 - -3/31064. What is the common denominator of b and 19/288?
3168
Find the common denominator of 23/15 and 2/(-80)*(1 + 742/108).
2160
Suppose -410*u + 2342520 = -350*u. Calculate the least common multiple of u and 4.
78084
Let l(v) = v**3 + 8*v**2 + 17*v - 12. Let k be l(-6). Let d be 74935/k - (-3)/(-2). Let y = d + 1761. Calculate the common denominator of -29/9 and y.
9
Suppose 10*b = 16*b - 1812. Let w = b + -282. What is the least common multiple of w and 18?
180
Suppose -2127 = -5*w - 3*x + 6*x, -4*w + 5*x = -1712. Let y be (1 - 420/w)/(-1). Let k = -4087/282 + y. Calculate the common denominator of -64/9 and k.
18
Let y(k) = 7*k**2 - 8*k - 16. Let l(g) = -3*g**2 - g - 1. Let s(p) = -3*l(p) - y(p). Calculate the least common multiple of s(-7) and 8.
40
Suppose 28*c + 2*c = 900. Calculate the common denominator of ((-606)/(-20))/(72/c) and -125/78.
312
Suppose 0 = 317*i - 26*i - 2050 - 2024. Suppose 0*q + q + 4*s = 232, -5*q + 4*s + 1232 = 0. Calculate the smallest common multiple of i and q.
1708
Suppose -7*d = -3*d - 3*j - 2, -3*d = j + 5. Find the common denominator of 47/5 and d/(-2) - (-2)/(240/(-351)).
40
Let m(c) = -70*c - 4. Let l be m(3). Calculate the common denominator of (0 + 4 + -111)/(16 - -2) and 3/(-12)*l/(-5).
90
Suppose 0 = p + 3*p + 12. Let d(b) = -1879 - 3*b + 1879. What is the smallest common multiple of 34 and d(p)?
306
Find the common denominator of (-4674)/7536 - ((-222)/(-48) - 5) and -67/20.
3140
Let k = -1854 - -2112. What is the least common multiple of 215 and k?
1290
Let j = -65218 + 42065671/645. Find the common denominator of -131/90 and j.
3870
Let k = 2409 + -2392. What is the lowest common multiple of k and 11?
187
Let b(z) = z**3 + 10*z**2 - 4*z - 31. Let k be b(-10). Let m = 18/145 + -11781/290. Calculate the common denominator of m and (-13)/9*7/6*k.
6
Suppose 5*x - 670 = -4*l, 5*l + 4*x - 623 = 219. What is the common denominator of -61/102 and ((-17)/l)/(2/(-115))?
204
Let g be (6 + 1)*(-3 + (-75)/(-35)). Let t = 48 - g. Find the common denominator of 59/30 and (-1 - 41/(-2))*t/243.
30
What is the common denominator of (-4411)/4037*(-69)/(-15) + 5 and -49/75?
27525
Let q(n) = -33*n - 955. What is the least common multiple of 106 and q(-45)?
530
Calculate the common denominator of (830/(-20))/((-1)/2)*(-15)/(-6120) and -113/18.
1224
Let u = -8571066737/190 + 45111008. Let w = u - 2256/19. Let s = -1/1494 - 35482/747. Find the common denominator of w and s.
10
Suppose -6*r = -40*r - 476. What is the common denominator of (249/18 + r)*4/(-10) and ((-1)/6)/((-6)/(-58))?
90
Suppose 2*k = -c + 30 + 22, -12 = 2*k. Calculate the lowest common multiple of c and 11.
704
Let g = 4 + -1. Let l = 4190 + -4190. Suppose y - 5*k + 0*k + 18 = l, 10 = g*y + k. What is the lowest common multiple of 4 and y?
4
Let h = -8/1649 - -56762/143463. Find the common denominator of h and -131/156.
4524
Let s be (-218833)/(-28) - (0 - -1). Let u = -7813 + s. What is the common denominator of (18/(-420)*-26)/(4/14) and u?
140
Let s = 158 - 87. Suppose j - 5*j + o = -265, s = j - 5*o. What is the lowest common multiple of 30 and j?
330
Suppose -15*t + 5041 + 4382 = -1782. Calculate the smallest common multiple of t and 747.
747
Let w(m) = 2*m**2 - 8*m - 15. Let y be w(-4). Suppose 0 = -2*a + 5*v - 11, -3*a = 4*v - y + 8. Calculate the smallest common multiple of 157 and a.
1099
Let m = 20 - -2. Let n be 1 + 2 + 0 + 1. What is the least common multiple of n + (-4 - -4)/2 and m?
44
Let v = 5705981/60 + -95097. Find the common denominator of v and (-8)/(-960)*635 - -3*4/12.
120
Let p(o) = -2*o**3 + o**2 - 6*o + 7. Let s be p(6). What is the common denominator of s/45 - (-1 + -3) and (-2 + -1)/((-84)/208)?
63
Let k = 23191/88 - 264. Let i be 3794/63 - -2 - -10. Let n = i - 1205/18. Find the common denominator of k and n.
792
Suppose 0 = 6*r - r + 1032945. Let o be (-50)/(-260)*r/(-10). Let i = 3974 - o. Find the common denominator of i and -17/18.
468
Suppose 8343 = 26*a + 55*a. Suppose -v = -3*y + 102, -2*y + 0*y + 2 = 0. Let o = v + a. Calculate the smallest common multiple of 28 and o.
28
Suppose -41*b - 886 = -130*b + 130478. Calculate the smallest common multiple of 30 and b.
7380
Calculate the common denominator of -1/4 and (-15)/((-285)/(-133)) + (-740)/(-98).
196
Let d be -1 + 0 + 0 + -7 + 8. Suppose -51 = -2*b + 3*y, d = -b + 5*b - 2*y - 98. Calculate the least common multiple of 22 and b/2 + 6 + (-24)/6.
154
Suppose 101322 = 3*j + 122*j - 90678. Calculate the lowest common multiple of 36 and j.
4608
Let h(v) = 24*v**2 - 8 - 56*v**2 + 28*v**2 + 7*v. Let u be h(10). What is the common denominator of 9/5 and (u/78)/(1/(-5))?
15
Let r(j) = -j + 18. Suppose 0 = 5*b + 3*b - 496. Let g = 72 - b. What is the smallest common multiple of r(g) and 42?
168
Suppose 5*z = z + p - 21, -5*p = 3*z - 13. Let y be z*5/(-20)*3. What is the common denominator of (y - 136/12)/1 and 70/9?
9
Suppose 5*t - 3*t = 2*b + 4, 4*b = 2*t + 2. Suppose t*m - 140 = -40. Calculate the common denominator of 14/m*455/312 and 67/14.
336
Suppose 3*z - 2*x - 35 = 0, 14*z + 5 = 5*x + 164. Calculate the least common multiple of 539 and z.
539
Let i(j) be the second derivative of j**3/2 - j**2 + 9*j. Suppose 36*a + 29 = k + 32*a, 3*a = -4*k + 21. What is the lowest common multiple of k and i(4)?
90
Suppose 5*d = -2*i - 4, 3*d - 5 = -3*i + d. Suppose 0 = 137*h - 357 - 465. Calculate the least common multiple of i and h.
6
Suppose 0 = -3*m + 3*y + 612, -22*m + 3*y - 844 = -26*m. Suppose -6*k + 2*k - 210 = -2*z, 2*z - m = 2*k. Calculate the least common multiple of z and 8.
824
Let c = 1/7497 + 517243/374850. What is the common denominator of c and ((-32)/(-30))/(-4) + 0?
150
Let q = 10104 + -121129/12. Let k = 1324536833/24 + -55177450. Let g = -11583 + k. Calculate the common denominator of q and g.
24
Let y = 160960 + -49897643/310. Find the common denominator of y and (-41 - -34) + (0 - 81/(-12)).
620
Suppose -3*t + 189 = -3*u, -t + 15*u - 12*u = -75. Calculate the lowest common multiple of 1539 and t.
1539
Let k be 78 + (-4)/(-2)*(3 - 5). What is the common denominator of k/63*(-4)/(-80)*-5 and -83/84?
252
Let q = -36107083/7735 + 79360/17. Let y = q + 3/35. Let n = 516/55 + 12/55. Find the common denominator of n and y.
65
Let y(t) = 2*t + 25. Let c be y(-14). Let d be (1/(-2))/(c - (-236)/80). Suppose -d*x - 18 = -11*x. Calculate the lowest common multiple of x and 44.
396
Let w(d) = 10*d + 84. Let i be w(-8). What is the lowest common multiple of ((-19)/((-95)/(-4)))/(i/(-10)) and 36?
36
Let u = -65663/2497908 - -33/3178. What is the common denominator of 77/6 and u?
1572
Let w = 255615/496478 - 456/989. Calculate the common denominator of 32/1255 and w.
2510
Let r = -99305/16 - -6209. Let q = 387847/28 + -13848. Calculate the common denominator of r and q.
112
Let x(l) = l**3 - 9*l**2 + 2*l. Let m(q) = -3*q - 18. Let c be m(-9). Calculate the least common multiple of 4/(-3 - -7)*2 and x(c).
18
Let y(k) = 5*k**3 - 22*k**2 + 28*k + 2. Calculate the lowest common multiple of 1203 and y(2).
12030
Let o = 2571 - 2223. Calculate the least common multiple of 348 and o.
348
Suppose 4*p = -3*c + 375, c + 16 - 141 = 2*p. Let r = c + -105. What is the smallest common multiple of r and 120?
120
Let m(u) = -u**3 + 14*u**2 + 116*u - 1619. Calculate the lowest common multiple of m(14) and 3.
15
Let l = -487/117 + 153/26. Let j be (87/(-42) - -2)/(11/91674). Let i = -21443/36 - j. What is the common denominator of i and l?
252
Let k be ((-1 + 36)/5)/1. Suppose -4*p - 5*j + 273 = 0, 5*p - 3*j - 330 = -k*j. Calculate the least common multiple of p and 16.
496
Suppose -3*d + 12 = 2*q, -3*d + 1 = -5*q - 11. Let r(b) = -16*b + 18. Calculate the least common multiple of r(q) and 16.
144
Let o be (-7818)/(-10)*8/(80/(-6)). Let j = o - -469. Calculate the common denominator of j and 37/40.
200
Let h = -85 - -88. Suppose 4*i - o = 11, h*o = -3*i + 5 + 7. What is the smallest common multiple of 6 and -2 + 3 + (5 - i)?
6
Let j(p) = 3*p**2 - 1 - 5*p**2 + 11 + 5*p + 2 + p**2. What