 c = 108 - u. Suppose -2*y + 3*y - 7 = 0. What is the lowest common multiple of y and c?
7
Suppose -2*u = 5*i - 17 - 3, -3*i = u - 12. Suppose 0 = 3*v - d - i - 11, -4*d = 3*v. Let k = 10 - 6. Calculate the least common multiple of v and k.
4
Let k = -158 + 83. What is the common denominator of (-34)/k*5/(-4) and (10/(-25))/(36/25)?
90
Let c = 8757 - 6837. What is the lowest common multiple of c and 60?
1920
Let q = -2/7790337 + -426170385491/366145839. Let y = -1164 - q. Calculate the common denominator of (-4)/(-10) - (-494)/(-60) and y.
282
Suppose 4 = 2*m - 2. What is the common denominator of (380/24)/((-55)/15 + 9/3) and (m/(-4))/((-3)/(-47))?
4
Let h(f) = f**3 - 83*f**2 + 1351*f - 9. What is the lowest common multiple of 216 and h(61)?
1080
Suppose -4095 - 3298 - 1811 = -236*w. Calculate the least common multiple of 39 and w.
39
Suppose 5*y + 170085 = u - 57423, 0 = 4*y + u + 182010. Let v = 2184185/48 + y. Calculate the common denominator of v and 1/32.
96
Let x = -2386683/4123 - -10996/19. Let j = -24667/4340 - x. Calculate the common denominator of 123/20 and j.
20
Let u = -3/392615 - 7615327/183743820. Calculate the common denominator of u and 89/195.
2340
Let x = 46693 + -338851099/7257. Let b = x - -92727/4838. Calculate the common denominator of -56/57 and b.
114
Suppose -40 = -14*z + 9*z, -648 = -4*a + 2*z. What is the smallest common multiple of 16 and a?
1328
Let c be ((-30)/18)/(4/(-48)). Let m = 16091/2493 - -28/277. What is the common denominator of c/(-6)*(238/35 - 4) and m?
9
Let i = -150421/330 + 2276/5. Find the common denominator of i and (-124)/(-22)*6/24.
66
Let v be 0 + (-204 + -1)*-10. Let z = v - 1147. Find the common denominator of z/(-882) - (-1 + 1)/2 and -25/12.
84
Let z(c) = 10*c + 152. Let p be z(-12). Suppose 2097 = p*f - 15. What is the least common multiple of 72 and f?
792
Let d = -297466 + 6854381/23. Let n = -550 + d. What is the common denominator of n and ((-1)/(-12))/((-333)/15096)?
207
Let l = -25685 - -25817. Calculate the smallest common multiple of 18 and l.
396
Let l = -811821/101836240 - -2/115723. Find the common denominator of 39/2464 and l.
12320
Calculate the smallest common multiple of 276*(6/(-21))/(-14*22/2695) and 2254.
33810
Let i = -1812677/62 - -29238. What is the common denominator of -24/25 and i?
1550
Let u(f) = 7*f**3 - 13*f**2 - 164*f - 27. Let v be u(-8). Let y be 87471/28 - (-2)/(-8). Let h = v + y. Calculate the common denominator of -7 and h.
7
Suppose 18*o - 15*o = 162. Let f = o + -54. What is the common denominator of 465/10 - 0/(1 - f) and -65/22?
22
Let b(a) = -16*a + 6. Let l be b(0). Calculate the least common multiple of 6 and 1/2*(l - -24).
30
Calculate the least common multiple of 185 and ((48/20)/(-6))/(((-155)/1850)/31).
740
Calculate the lowest common multiple of (-1 - 1)/(1/(-9)) and 23 - ((-78)/(-8) + (-1960)/(-1568)).
36
Let l = 468/7 + -67. Let t be 2816/20220 + (-14)/105. Let f = 2351/1348 + t. What is the common denominator of l and f?
28
Suppose p - 195 = v, 3*p - 589 = 56*v - 57*v. What is the least common multiple of 140 and p?
980
Calculate the common denominator of (-267)/108 + (-1)/3 and (-2)/(-26)*(44 + (-9284)/264).
468
Let q be 2/4*(7 - 381). Let o be (-5)/(-5) + 1*q. Calculate the common denominator of 37/34 and ((-1)/8)/((-5)/o).
340
Suppose 462 = 1771*n - 1749*n. What is the smallest common multiple of n and 3801?
3801
Let j = 44464/9 + -10893311/2205. What is the common denominator of j and 43/322?
11270
Suppose -5*f + 42 = -13*a + 11*a, f - 8*a = -22. What is the least common multiple of 4178 and f?
20890
Suppose 5*j = -5*o + 5, 3*o - 22 = 5*j - 3. Suppose -o*s + 29 = 71. Calculate the least common multiple of (-4)/s - (10400/(-35))/10 and 12.
60
Suppose 0 = -114*g + 66217 + 36725. Calculate the least common multiple of 129 and g.
903
Suppose -860 = -22*c + 1406. Suppose w = -4 + c. Calculate the smallest common multiple of w and 81.
891
Calculate the least common multiple of (-792)/(-693)*(-28)/(-2) and 6672.
6672
Let a(d) = -d**2 + 16*d - 6. Suppose -10*g + 37 = -9*g + 3*y, -2*g = 3*y - 65. Calculate the lowest common multiple of a(11) and g.
196
Suppose 4*q + 0*q = 3060. What is the common denominator of (-385)/32 - (-2 + -1 + -8) and q/154 - (-6)/(-21)?
352
Let z = -718858711441849/311465916327960 - 7/8561460042. Let p = 60/1819 + z. Let d = -4781 - -19223/4. What is the common denominator of d and p?
40
What is the lowest common multiple of 1072 and 2/(-1 + 11) + ((-33690)/(-50) - 4)?
5360
Suppose 6*d + 11 - 41 = 0. Suppose 0*a + 4*j = a - 17, -4*a + j = 7. What is the lowest common multiple of 28 and 9/d*((-1)/a - -3)?
84
Let p = 317881/8 - 588539/16. Let z = 2954 - p. Calculate the common denominator of z and 73/130.
1040
Let z = -84 + 87. Suppose -24 + 6 = -z*g. Calculate the lowest common multiple of g and 44.
132
Calculate the common denominator of 4/((-480)/(-286)) - (-39)/(-156) and 44/(-27)*(-6)/20.
45
Let r = -3875 + 5815. What is the lowest common multiple of 14 and r?
13580
Calculate the common denominator of (-2 - 93027/(-24475)) + 9/(-5) and -37/25.
2225
Let w = -847/9 - -13291/144. Let p = 934/9 - 3683/36. Find the common denominator of w and p.
144
Let s be 4/10 + ((-792)/(-45) - 9). Suppose -65 = -3*w - o, s = -3*o + 24. Calculate the smallest common multiple of w and 80.
80
Let i be ((-1)/12*-59)/((-143)/1204533). Let d = i + 41416. Calculate the common denominator of d and -101/2.
52
Let b be 715/2163 + (-7 - 160/(-24)). Let i = b + 29579/6489. Calculate the common denominator of 155/126 and i.
126
Suppose -2*z = -2*p - 809 - 185, -2*z + 988 = p. Suppose -z - 237 = -4*v. Calculate the least common multiple of 18 and v.
1098
Let q = -33997561/3280 + 424968/41. Calculate the common denominator of 59/800 and q.
32800
Let c = -13853943239/9643172 + -170/219163. Let x = 1438 + c. What is the common denominator of -7/40 and x?
440
Let s(d) = -44*d**2 + 9*d + 8. Let w be s(-1). Suppose 0 = 3*g - 62 - 136. What is the lowest common multiple of (-36)/w*((-70)/4)/(-7) and g?
66
Suppose 5*d = -2*q - 8, -4*q + 4*d - d = -36. Suppose -q*w + 50 - 32 = 0. Suppose -1 = -o - w, 2*x - 22 = 4*o. Calculate the least common multiple of 15 and x.
105
Suppose k + 8*k - 63 = 0. Suppose 86 = -k*y + 9*y. Let r = 55 - y. What is the smallest common multiple of 24 and r?
24
Suppose 3*h = -2*h + 3*x + 84, 2*h - 32 = 2*x. Suppose -2*v - v = -h. Calculate the smallest common multiple of 9 and v.
18
Let t = -9212848/255 - -36129. What is the common denominator of 133/6 and t?
510
Suppose -7*u - 50 = 3*u. What is the smallest common multiple of (-66)/(-2) + (-5 - u) + 2 and 10?
70
Calculate the common denominator of 35/2421 and (-5 + 828/189)/(9/45).
16947
What is the common denominator of ((-2)/330)/(3/(-267)) and (-1145)/(-225) - (-145)/(261/(-9))?
495
Suppose -4*c - 18*h + 22*h = 4, -3*h = -4*c. Suppose s - c*o - 42 = -s, -4*o - 40 = -2*s. Calculate the least common multiple of s and 148.
888
Let t(p) = -p**3 - 17*p**2 - 43*p - 164. What is the lowest common multiple of 32 and t(-16)?
2144
Suppose 22 + 55 = -11*q. Find the common denominator of (-1 - -3)*(1 - (-364)/(-160)) and 4 - q/(56/114).
20
Let u = 21962 + -8696933/396. Calculate the common denominator of 163/528 and u.
1584
Calculate the common denominator of 157/630 + (-168)/20 + 70/10 and 11/(-70) + 0/(-2).
630
Let m be ((-8)/4382800)/(15/(-3878028)). Let h = 1/10957 + m. Calculate the common denominator of h and 16/55.
1375
Let o = -1/512737 - -40506833/312769570. Find the common denominator of -101/3050 and o.
3050
Find the common denominator of 107/152 and 159/318 + (1 - 1) + (-1229)/2712.
51528
Let p = 63 + 1. Suppose -3*w + 12 = 0, 0*n - 4*w + 268 = 4*n - 9*w. What is the least common multiple of n and p?
576
Let q = -10097 + 40359/4. What is the common denominator of 59/12 and q?
12
Let q(v) = -3*v**3 - 2*v**2 - 4*v + 4. Let w be q(-2). Calculate the least common multiple of 52 and 254/14 - 4/w.
468
Let o(a) be the first derivative of a**4/4 + 7*a**3/3 + a**2/2 - 4*a - 2. Let r be o(-5). Let v = 43 - r. Calculate the lowest common multiple of 6 and v.
6
Let u be (-5 + (-55)/(-15))*258477. Let h = u - -138543805/402. What is the common denominator of 121/18 and h?
1206
Find the c