95/2 and (-5)/d*(-2 + 93/5)?
40
Suppose 2*v = -3*a - 2, 7*v = 2*a + 8*v. Let r be (-50)/15*(-39)/(-2). What is the smallest common multiple of a and (-10)/(-3)*(-156)/r?
8
Let f(k) be the second derivative of -1/6*k**4 - 2*k**2 + 1/20*k**5 + 38*k - 1/2*k**3 + 0. What is the smallest common multiple of 4 and f(5)?
56
Suppose -4*n + 11 = 3*y - 2, 3*y - 17 = -5*n. Let h be 2/(-7) - 6/(-21). What is the common denominator of y/(1 + h - 34/33) and 35/11?
11
Let k = 110 - 50. Calculate the lowest common multiple of 2/((98/105)/7) and k.
60
Let a = 100 + -84. Calculate the common denominator of -4 - ((-340)/(-100))/(a/10) and -61/68.
136
Let q(l) = 4*l**3 + 85*l**2 + 13*l - 104. What is the lowest common multiple of 4472 and q(-21)?
35776
Suppose 8 = p - 0. Let g = -8173/4716 + 37/393. Calculate the common denominator of g and 54/p*4/22.
396
Let i = -34493 - -3794191/110. Find the common denominator of 97/1110 and i.
12210
Let g = 56843/4 + -28403/2. Calculate the common denominator of (-9)/(-66)*188/18 and g.
132
What is the common denominator of -8 + ((-1)/2)/(25/675) and 71/2776?
2776
Let s = -33657 + 33903. What is the least common multiple of 56 and s?
6888
Let r(c) = -562*c - 57. Let u be r(11). Let b = 137219/22 + u. Calculate the common denominator of -173/30 and b.
330
Let j = 23 + -29. Let m(c) = -c**3 - 9*c**2 - 14*c - 4. Let f be m(j). What is the least common multiple of (4 - f) + 2*-1 and 6?
30
Let o = -247/2 - -1003/8. Suppose d + 22 = 5*u, -4*d - 14 + 26 = 5*u. Calculate the common denominator of 45305/(-14300) + d/11 and o.
40
Let v = 164 + -79. Let w = -14 + 12. Calculate the common denominator of v/(-12) + w/(-12) and 43/2.
12
Let z = -59844 + 619150/11. Let d = z + 3554. Let u = -22001/13 - -1690. Find the common denominator of u and d.
143
Let m = -22921 - -412709/18. Find the common denominator of -3/206 and m.
1854
Let f(g) = 2*g**3 + 42*g**2 + 40*g + 8. Let r be f(-20). What is the common denominator of -101/432 and ((-4)/r)/(10/(-54))?
2160
Let g = -88120021/4866 - -54328/3. Calculate the common denominator of g and -91/24.
19464
Let b(n) = 56*n + 1978. Calculate the smallest common multiple of 6 and b(41).
12822
Let k(i) = i**3 + 32*i**2 + 33*i + 63. Let r be k(-31). What is the common denominator of 115/24 and r/6*7875/(-1197)?
456
Suppose -4138 = -17*p + 1217. What is the least common multiple of 525 and p?
1575
Calculate the smallest common multiple of (-868)/(-72) + 35/(-630) and 1792.
5376
Let r = 6395 - 6163. What is the lowest common multiple of r and 406?
1624
Calculate the common denominator of (54/(-24) - -2) + (-75)/(-186) and 45/8.
248
Let h(t) = -10*t**3 + 4*t**2 + 4*t. Let i be h(-1). Suppose 4*p = 2*d - 26, d = -i*p + 5*p - 8. What is the least common multiple of 1 and d?
7
Let u(j) = -32*j + j**2 + 0*j**2 - 105 - 149 - 122 + 95. What is the smallest common multiple of u(42) and 1?
139
Let y = 9 - 373. Calculate the common denominator of y/(-264) - (7/3 + -3) and -3 + 4/(144/213).
132
Suppose 0 = 8*c - 899 - 869. Let z = -2731/12 + c. Let m = 237841/27 - 8810. Find the common denominator of m and z.
108
Let v = -1 - -4. Let q = -4042 + 4046. Calculate the smallest common multiple of v and q.
12
Let c = 856 + 119. What is the least common multiple of c and 130?
1950
Calculate the common denominator of ((-1)/(-30))/(-6 + 280/64) and 19/145.
5655
Let d(s) = -s**2 - 11*s - 6. Let w be d(-10). Let x be (-2 + w)/((-10)/(-55)). Let z = -5 + x. What is the lowest common multiple of z and 12?
12
Let u be (-184)/(-161)*7/2. Suppose -2*r - 102 = -c, -u*c + 2*r + 383 = -37. Calculate the least common multiple of c and 2.
106
Let v(m) = -m**2 - 67*m - 824. What is the lowest common multiple of 1690 and v(-17)?
1690
Let f = 243 + -277. What is the common denominator of (-1)/3*f/(-19) and 47/21?
399
Suppose -k + 103 = 3*c, -3*k - 4*c = -343 + 19. What is the smallest common multiple of k and 1968?
13776
Let g(b) = -6*b + 9. Let d be g(2). Let u be (d - -2)/(2/8). What is the common denominator of (66/(-16))/((-9)/u) and 25/3?
6
Suppose -4*u = -f - 3196, -5*u + 0*u = 5*f + 15955. Calculate the common denominator of (315/f)/((-6)/(-8))*1 and 27/4.
76
Let z be -2 + 7/4 + 183/(-4). Let m = z - -52. Calculate the least common multiple of 36 and m.
36
Let g be 3*(-7)/21*1. What is the common denominator of 20/65*(33/72 - g) and -101/12?
156
Let h(w) = -160*w**2 - 941*w + 123. Let t(u) = u**3 + 10*u**2 + 5*u - 7. What is the smallest common multiple of h(-6) and t(-6)?
963
Let l = 33488 + -32522. Calculate the least common multiple of l and 48.
7728
Let c(f) = 5*f + 6. Let p(o) = o**3 - 6*o**2 - 9*o + 11. Let w be p(7). Let m be c(w). Let y(n) = -3*n - 24. What is the lowest common multiple of 4 and y(m)?
12
Suppose -4*z - 2*x = -2, x - 1 = -4. Suppose 2*k - 8 - z = 0. Let y = k + 5. What is the smallest common multiple of 2 and y?
10
Suppose 4*y = -90*i + 88*i + 5384, -4*y + i = -5408. Calculate the least common multiple of y and 1350.
1350
Find the common denominator of 36/63 + (-2239)/3612*1 and -44/15.
2580
Find the common denominator of -35/4 and 402/28*(3 + (-9110)/1140 + 5).
532
Suppose 751*v + 20086 = 773*v. What is the lowest common multiple of v and 166?
1826
Suppose -o = 3*o - 576. What is the lowest common multiple of o and -10 - ((-4)/(-6))/((-82)/1599)?
144
Let j be ((2/8)/(2422/1176))/1. Let z = -3402/1903 - j. Let d(k) = 50*k**3 - 2*k - 1. Calculate the common denominator of z and d(-1).
11
Let t(k) = k**2 - 13*k + 34. Let p be t(12). What is the common denominator of 19 - p - (3 + (-575)/114) and -62/15?
570
Let v(y) = -3*y - 42. Let k be v(-4). Calculate the least common multiple of 50 and (-6)/(-10) + -3 + (-1572)/k.
50
Suppose 384 = -10*t + 42*t. Suppose 0*j + 4 = -s - 3*j, -8 = s + 4*j. Calculate the smallest common multiple of s and t.
24
Let x = 18519 + -17079. Calculate the least common multiple of 64 and x.
2880
Let c be 15 + -16 + (-1 - 11). Let r(a) be the first derivative of a**2 + 30*a - 1. Calculate the lowest common multiple of 9 and r(c).
36
Let w be (1/22)/(106/62). Let m = w + 1/53. Find the common denominator of (-3)/(-15) + 254265/(-175950) and m.
1122
Let v = 5434/9 - 87073/144. Calculate the common denominator of 157/960 and v.
960
Calculate the common denominator of -5*(-36)/296 - (-6)/(-10) and -21/185.
370
Let y(d) = -d**3 + 3*d**2 - d - 1. What is the lowest common multiple of (-14)/(-7448)*-19 + (-3195)/(-84) and y(2)?
38
Let j = -8353/13860 - -61/220. Find the common denominator of -1/108 and j.
756
Suppose 1461 = -2*r - 969. Let n = 44958/37 + r. What is the common denominator of n and -25/11?
407
Suppose 3*j + 1360 + 852 = 2*l, 0 = j - 3*l + 742. Find the common denominator of -58/21 and 39 - 43 - j/182.
273
Suppose 0 = 2*k + 5*y - 25, -19*k + y - 5 = -20*k. Suppose k = q + 1383 - 1423. What is the lowest common multiple of q and 84?
840
Let s = 13318 + -585885/44. What is the common denominator of s and -39/268?
2948
Let d be ((-24)/(-15))/(-4) - 238870/(-50). Suppose 10*h + 617 = d. What is the smallest common multiple of h and 9?
3744
Suppose 4*p + 74 + 34 = 0. Let x = 35 + p. Suppose -57*v - 36 = -61*v. Calculate the lowest common multiple of v and x.
72
Let a(c) = -3*c + 8. Let z be a(1). Suppose -z*y - 4 = -64. Calculate the smallest common multiple of 1*-1 - (-49)/7 and y.
12
Let f = 427611/22 + -19432. What is the common denominator of f and ((-46)/6)/((-154)/21)?
22
Let c = 112199/3108 + -1352/37. Find the common denominator of c and 31/45.
1260
Calculate the common denominator of -21/358 and (-568197)/(-145348) - (-4)/(-1).
716
Let a = 9307/8 - 2037977/1752. What is the common denominator of -1/396 and a?
28908
Suppose 10*k - 1211 + 197 = -16*k. What is the smallest common multiple of 157 and k?
6123
Let j = -3302/5 + 670. Let o = -323905723962 - -37126397986495252/114621. Let b = -2/8817 - o. Calculate the common denominator of j and b.
65
Let a = 38158261/522 + -73100. What is the common denominator of -89/580 and a?
5220
Let u = -39 + -16. Let b = 159 - u. Calculate the lowest common multiple of b and 12.
1284
Let v = 80943673 - 7932395281/98. Let r = -864 + v. Calculate the common denominator of -25/84 and r.
588
Calculate the least common multiple of 270 and (-8)/(-1