. Let v = g + j. Find the common denominator of v and -33/10.
10
Let b(l) = -4*l**3 - l**2 - l - 1. Let j be (-3 - (-64)/28) + (-4)/14. Let u be b(j). Find the common denominator of (-2150)/240 + 1/u and 26.
8
Let k = -1821045/4 + 457620. Let s = 2340 - k. Calculate the common denominator of (-15)/100*115/16 and s.
64
Suppose r - 4*y - 18 = y, -5*r + 6 = 3*y. Suppose -2*a = s - r, 0*s - s + 3 = -2*a. Calculate the lowest common multiple of 45 and s.
45
Let d be 76/496 + (-15)/12 + 1. Let l = d - -607/186. Find the common denominator of 37/9 and l.
18
Let q(s) = -s**2 - 32*s + 31. Let u(t) = 10*t - 377. What is the least common multiple of q(-32) and u(38)?
93
Let j = 21833/20 + -1094. Calculate the common denominator of j and -41/200.
200
Calculate the common denominator of 16/35 and (189/(-27636))/((-3)/(-72)).
1645
Let w = 479 - 488. Calculate the least common multiple of 72 and (96/w)/((-1)/3).
288
Suppose -y = y + 4. Let q(c) = -3*c**3 + c**2. Let d be q(y). Let m = d - 14. Calculate the least common multiple of m and 4.
28
Suppose 255*q = 251*q - p + 20, 3*q + 15 = 3*p. Calculate the least common multiple of q and 450.
450
Suppose -13*d = -2*d - 231. Let g = -15 - -30. What is the least common multiple of g and d?
105
Suppose 0 = -8*f + 7*f + 5. Suppose -5*b + 174 = f*l - 181, b = 2*l - 142. Suppose -3*o - 11 = -l. What is the smallest common multiple of 18 and o?
180
Let s = -126668/33 + 46405/12. Let b = s + -29. What is the common denominator of (-666)/(-96)*(-4)/(-42) and b?
616
Suppose 4*m - 43 - 117 = 0. Let j = -1112 - -1156. What is the smallest common multiple of m and j?
440
Find the common denominator of 109/624 and ((-12485)/1560 - -7)*-2 + -1.
624
Suppose 21*i = 34*i - 1183. Let c(f) = -f**3 + 6*f**2 - 6*f + 10. Let q be c(7). Let r = i + q. Calculate the least common multiple of 10 and r.
10
Let o = -27649/36 + 3089/4. What is the common denominator of 127/138 and o?
414
Calculate the least common multiple of 2690 and 1877/7 + 1494/1743.
2690
Suppose -419 = -147*z + 757. What is the smallest common multiple of z and 2815?
22520
Let c(g) = g**3 + 28*g**2 - g - 26. Let s be c(-28). What is the least common multiple of 11 and 6*1/s - (-60)/2?
33
Suppose -5900 = 8*a - 28*a. Calculate the common denominator of ((-254)/96)/(a/(-236)) and -149/30.
60
Let v = -13/92342 - -1043187691/831078. Let w = v - 1253. Calculate the common denominator of w and 53/5.
45
Let m be (-216)/(-30) - 5/25. Let j be (-1149 - 3) + 3/(-1). Calculate the common denominator of (12/(-130))/(m/(j/8)) and 22/3.
156
Let j(c) = 6*c**2 - 4*c - 5. Let b = -26 + 24. Let f be j(b). What is the lowest common multiple of 18 and -4*1 + (f - 17)?
18
Suppose -2018*z = 3*o - 2016*z - 688, -z + 686 = 3*o. What is the lowest common multiple of o and 646?
3876
Let v(z) = 11*z**2 - 18*z - 98. Let t be v(-14). Let f = t + -9309/4. What is the common denominator of f and 139/36?
36
Let b be (-4)/(-3)*81/18. Let h = 105 + -274/3. Calculate the common denominator of (-2)/(((-108)/67)/b) and h.
9
Let q = 55831903/1398 - 39937. Find the common denominator of q and 86/15.
6990
Let m(b) = -14*b - 36. Let l be m(15). Let r = l + 266. What is the least common multiple of r and 28?
140
What is the common denominator of (-51703)/248105 - (-4)/26 and -72/1265?
1265
Let d = -123450308 - -3949664429/32. Let n = -23297 - d. What is the common denominator of 9/32 and n?
32
Suppose -22*n - 30567 + 75139 = 0. Find the common denominator of 495/36*(-5 - n/(-405)) and -63/2.
324
Let r(c) = -4*c + 0*c**2 + c**2 - 2*c + 2*c - 6*c + 117. What is the least common multiple of 72 and r(7)?
288
Let f = -4605 - -6615. What is the least common multiple of 2412 and f?
12060
Let f(a) = -45*a + 1. Let q be f(-1). Let k = -32 + q. Let x(u) = 2*u**3 - 34*u**2 + 150*u - 26. What is the smallest common multiple of k and x(8)?
154
Let d(o) = 2*o - 30. Let g be d(16). Suppose g*m - 3*y - 26 = 0, -3*y = -0*y. Suppose -49 = -3*j - m. What is the lowest common multiple of 27 and j?
108
Let v(n) = n**2 - n. Let f be v(-2). Calculate the lowest common multiple of 28 and (43/6 + (-1)/f)/1.
28
Suppose 15 = -3*n, -n + 180 + 135 = m. Let g = m - 282. What is the smallest common multiple of g and 2?
38
Calculate the common denominator of -85/28 and (1190/200 + -6)*((-117)/34 - -1).
4760
Suppose 36*u = 40*u - 20. Suppose -7*c + 6 = -8*c + 4*y, -u*y = -10. What is the lowest common multiple of c and 4?
4
Let m be 6329/148 + 29/(-116). Let j = m + -382887/9028. Calculate the common denominator of -17/8 and j.
488
Let t = -3287 + 22983/7. What is the common denominator of t and 61/112?
112
Suppose 5*g - 258 = -4*a + 192, 5*a = -2*g + 554. Let i = a - 106. Suppose 6*l + 3*v = l + 19, 2*v - 16 = -i*l. Calculate the least common multiple of l and 4.
20
Suppose -3*w = -2*u - 11, 0*w + 3*w = 5*u + 23. Find the common denominator of w/(-5) - 826/(-180) and 2/68*-7 + 3.
306
Let r(s) = -336*s + 7746. What is the lowest common multiple of 10 and r(13)?
16890
Suppose -8*y + 368 = -120. Let c = y + -81. Let o(l) = l**2 + 21*l + 39. What is the common denominator of 43/10 and o(c)?
10
Let g(u) = -u**3 - 4*u**2 + 9*u + 2. Suppose 3*j - 14 = -32. Calculate the lowest common multiple of 45 and g(j).
180
Suppose 0 = -21*w + w + 1000. Suppose w = 4*q - 258. What is the smallest common multiple of q and 63?
693
Suppose 2*s + s - 1359 = 0. Calculate the common denominator of (s/(-15))/(24/(-20)) and (136192/(-816))/28 + 8 + -2.
102
Let q = 8719 - 619011/71. Let g be 86/6*(8 - 110). Let c = g + 2995/2. What is the common denominator of c and q?
142
Calculate the common denominator of -49/108 and 98/90*-12*6/96.
540
Suppose -m = -1 + 10. Let o be 6*((-51)/m)/((-6)/9). Find the common denominator of (-3 - -1) + o/2 and -13/116.
116
Suppose 0 = -2*x + 28 - 0. Suppose 52 + 68 = 284*q - 274*q. What is the lowest common multiple of x and q?
84
Let o(h) = h**3 - 16*h**2 + 28*h + 1. Let j be o(14). What is the common denominator of (-880)/(-42) + 10/(-35) - j and -76/39?
39
Calculate the common denominator of -1 + 5 + 222/(-36)*(-27)/(-30) and -87/2266.
22660
Let z = 68/3575 + -119527/3088800. Calculate the common denominator of 55/768 and z.
6912
Let m = -37/36 - -217/144. What is the common denominator of m and (8 + (-3552)/360)/(9/10)?
432
Let u = 5 + -3. Let a(h) = h**2 - 24*h - 20. Let k be a(25). Suppose 0 = -k*q + 5, -4*s - q = -s - 43. What is the smallest common multiple of u and s?
14
Let x be (470/15)/(10/315). What is the common denominator of 95/34 and 0/2 + 4 + x/(-98)?
238
Suppose 631*m = -419*m + 36011 - 4511. What is the least common multiple of -1*(0 + -76) - -2 and m?
390
Let n = -14229955/107 + 133000. Let m = n + -105403/8667. Let b = m - 1303/324. Calculate the common denominator of b and 23/21.
84
Let o = 19970 + -19847. Calculate the smallest common multiple of o and 738.
738
Let t = 6247 - 6242. Calculate the lowest common multiple of ((-2)/3)/(5/(-165)) and t.
110
Let s = 93661/18 - 5210. Calculate the common denominator of -139/6114 and s.
18342
Let o = -7392 - -7522. Calculate the least common multiple of o and 8.
520
Let o be (-12)/150 - (-900081)/700. Let m = o - 138983/108. Find the common denominator of m and -23/4.
108
Calculate the common denominator of (-49)/(2009/82) - -107*(-1)/(-70) and 0 - (-2)/((-180)/(-177)).
210
Let m be 1588726/36 - ((-253)/(-44) + -5). Let v = m - 44134. Calculate the common denominator of v and 131/96.
288
Suppose 2*f + 16 = w - 22, -2*w - 4*f + 60 = 0. Suppose 6*t - 2*t = 5*k + 94, -w = 2*k + 2*t. Calculate the least common multiple of (-9)/k + (-33)/(-2) and 9.
153
Suppose -l - 5*v + 14 = 0, 9*l - 5*l - 79 = 3*v. Let z be 0/(9 - 18)*1/2. Suppose z = -3*r + 29 + l. What is the least common multiple of 10 and r?
80
Let o = -37853/22150 - -128/443. What is the common denominator of 2/1275 and o?
2550
Suppose -30 = -x + 2*q, -6*x = -2*x + 4*q - 72. Let i = -54 + 70. What is the least common multiple of x and i?
176
Let f = 186273 - 135979337/730. What is the common denominator of f and 9/584?
2920
Suppose 5*s - 4*t = -48, 2*s + 3*s = -t - 38. Let v(k) = 4*k**2 + 27*k + 42. What is the lowest common multiple of v(s) and 10?
410
Suppose 4*k - 5*k - 2 = 0. Let l be (0/1)/(k + 2 + 1). Suppose -