uppose 2*d - 123*r - 1400 = -127*r, -5*d = 2*r - 3452. Calculate the smallest common multiple of d and 516.
2064
What is the common denominator of (57 - 16)/205 + (-152)/1025 and 70/3?
3075
Let z = 3925 + -706639/180. Calculate the common denominator of 31/5640 and z.
16920
Find the common denominator of ((-22)/16)/((-2604)/(-588)) and -87/88.
2728
What is the smallest common multiple of 216 and -5 + (8/2 - (-21 - 16))?
216
Let f = 6271/232 + -483/29. What is the common denominator of f and -1/390?
1560
Let o = 36 - 33. Suppose 0*b + 26689 = 4*u + 3*b, -4*u + o*b + 26719 = 0. Let k = 40151/6 - u. Find the common denominator of 59/3 and k.
6
What is the smallest common multiple of 7582 and (70/28)/(45/108)?
22746
Let f(s) = -s**3 + 10*s**2 + 3*s + 4. Suppose -4*r = -12*r + 2112. Suppose -257*g - 70 = -r*g. Calculate the least common multiple of f(8) and g.
780
Calculate the common denominator of 11/(-770)*(-3020)/396 and 41/72.
5544
Suppose 4*b = 315 - 287. Suppose 4*p - 71 = -b. What is the smallest common multiple of 74 and p?
592
Suppose 9*i - 16 = i. Let c be 1 + 2 - i - 1. Suppose 14*l - 17*l + 36 = c. What is the lowest common multiple of 130 and l?
780
Let a = -504193/78 + 6463. What is the common denominator of a and -49/12?
156
What is the least common multiple of 160 and (-15)/(-18) + ((-4895)/(-30) - 4)?
160
Find the common denominator of 53/375 and (-912)/200 - (-3 + 1)/((-4)/(-6)).
375
Suppose 3*x - 2*j + 476 - 1508 = 0, 3*j + 678 = 2*x. What is the least common multiple of 6 and x?
348
Let n = 77990221/1067 + -73093. Find the common denominator of n and -53/33.
3201
Find the common denominator of -67/504 and (-214)/(-3528)*83 - 5.
3528
Let p = 3652 - 3624. Suppose -11 = -2*c - 1. Suppose -2*a - 25 = -3*d + 3, -5*d = c*a - 5. What is the least common multiple of p and d?
84
Let x = -10 - -16. Let i be x*(2 + (-699)/(-45)). Let m = i - 108. Calculate the common denominator of 97/2 and m.
10
Let c = -1767165623/3936 - -448975. Calculate the common denominator of c and -31/1230.
19680
Calculate the least common multiple of 11 and (36/16)/(((-2106)/82152)/(-39)).
37653
Find the common denominator of -59/176 and (-2031)/1344 - (-2)/(-6)*765/(-170).
4928
Let b(w) = w + 1. Let q(j) = 17*j + 33. Let v(m) = 2*b(m) - q(m). What is the smallest common multiple of v(-3) and 108?
756
Find the common denominator of (-30)/18 - (-37 + 20) and -73/1560.
1560
Suppose -5*g + 1348 = -2*g + 5*l, 3*g + 3*l = 1338. Let h = g + -330. What is the lowest common multiple of h and 5?
555
Suppose -20*x + 1623 + 29737 = 44*x. What is the least common multiple of x and 49?
490
Suppose 4*f - 156 = 4*l, 2*f + l - 140 = -47. Let j(m) = -m**3 + m + 1. Let u be j(-1). Find the common denominator of 91/2 and (-138)/f - (0 - (u + 0)).
22
Let q = -148196 + 202287551/1365. Find the common denominator of 53/195 and q.
1365
Calculate the common denominator of -7 - (-81)/9 - -1*(-345)/123 and (-12)/16*(-416)/30.
205
Suppose 4*p = 4*d + 20, -2 = -4*d + 5*p - 18. Let j(i) = 5*i + 8. Let z be j(d). Let n = z - -51. What is the smallest common multiple of n and 6?
42
Let n be (-27861)/259 + (-2 - 11/(-7)). What is the common denominator of 94/84 - (-4)/(-14) and 6/n*-3*-152?
6
Let y = 3083119/60 - 51388. Calculate the common denominator of y and -79/222.
2220
Find the common denominator of (303/198)/((-793)/(-183)) and -43/12.
1716
Suppose 0 = -4*m - v + 921, -369*v = m - 372*v - 201. What is the smallest common multiple of m and 855?
3420
Let s(c) = c**3 + 51*c**2 + 106*c + 435. What is the lowest common multiple of s(-49) and 344?
344
Calculate the common denominator of ((-104)/6 + 5)*20/(-4230)*-3 and 97/282.
846
Let r(c) = -498*c + 16437. What is the smallest common multiple of 4737 and r(33)?
4737
Let x(w) = -21 - 2*w + w + 5*w. Let d be -6*((-2)/12)/((-19)/(-152)). Calculate the lowest common multiple of 41 and x(d).
451
Let x = -130928 + 3010877/23. Let g = 16906/759 + x. What is the common denominator of g and -19/33?
33
Let g(r) = -613*r - 376. What is the least common multiple of g(-2) and 150?
2550
Suppose 0 = 921*m - 931*m + 10600. What is the smallest common multiple of m and 106?
1060
Let f(c) = -105*c - 20. Let z(n) = 158*n + 29. Let t(j) = -7*f(j) - 5*z(j). Suppose 0 = 2*a - 1 + 3. Calculate the smallest common multiple of t(a) and 1.
50
Let m = 372 + -210. Suppose 3*b = 4*a - 11, 9 - 2 = 3*a - b. Calculate the lowest common multiple of a and m.
162
Let g be -1 + 7/(7/12). Let u = -5 + g. Suppose -3*t - 42*t + 945 = 0. Calculate the lowest common multiple of t and u.
42
Let m = 1032131/3648 - 5374/19. Let y = -8063/3264 - m. Calculate the common denominator of 49/3 and y.
102
Find the common denominator of -57/308 and (-5 - 7) + 563/40.
3080
Let y(m) = m**2 + 15*m - 15. Let b be y(-15). Let g be (36/b)/(6/(-100)). Find the common denominator of 47/6 and 52/g*(-21)/(-18).
60
Let y be (-6)/(4 - (-367026)/(-91758)). Let j = -4955077/54 - y. What is the common denominator of -32/3 and j?
54
Let w(f) = f**2 + 22*f + 23. Let u be w(-21). Suppose 0 = -8*r + 9*r - u. Calculate the least common multiple of r and 2.
2
Let p = 85763/5 + -33961493/1980. Calculate the common denominator of p and 91/198.
396
Let l be (-10)/45 + 4302646/315. Let u = l - 13657. What is the common denominator of (-3)/((-36)/232) + 2 and u?
105
Let p = -2670693 + 1490245379/558. Let t = 22/279 + p. Calculate the common denominator of t and -3*1556/(-1560) + 8/(-10).
234
Let j(y) = 2*y**2 - 238*y + 88. What is the smallest common multiple of j(0) and 164?
3608
Let u be (23 - 24)/(-3 + (-16)/(-6)). Suppose -2*i = -2*j + 14, -10*j - u = -9*j - 3*i. Calculate the least common multiple of j and 72.
72
Suppose r + 5*t - 201 = 98, 2*r + 5*t - 618 = 0. Calculate the smallest common multiple of r and 11.
319
Let k(x) = -x**3 + 10*x**2 - 62*x + 807. What is the least common multiple of 526 and k(11)?
1052
Suppose 38 = -13*s + 14*s - 5*k, 4*s + 2*k - 20 = 0. Calculate the lowest common multiple of s and 362.
1448
Let p = 77/41 + -2873/984. Calculate the common denominator of 145/102 and p.
408
Let l = 46 - 44. Suppose l*a + 19391 - 4889 = 0. Let n = a - -72443/10. Calculate the common denominator of n and -69/22.
110
Let k(x) = x**2 + 20*x. Let s be k(-20). Suppose 3*m = -3*i - 69, 2*m - 3*i + s*i = -71. What is the common denominator of 13/21 and -4 - (-72)/20 - m/10?
105
Let g(t) = 267*t**2 + 2*t + 1. Calculate the smallest common multiple of g(1) and 66.
2970
Let j = -106/37 + 3107/555. Find the common denominator of 117759/(-4618)*(-14)/120 and j.
120
Suppose 5*z - 56 = -4*g, -570*z - 42 = -573*z - g. Calculate the lowest common multiple of 4240 and z.
4240
Suppose 0 = -3*p - 2*k - 3242 + 3364, 83 = 3*p - k. Calculate the smallest common multiple of (16/10)/(1/5) and p.
32
Let o(k) = 145*k**3 - 11*k**2 - 2*k + 15. What is the least common multiple of 6 and o(3)?
7650
Suppose 59*k + 19*k - 94656 = -30696. Calculate the smallest common multiple of k and 44.
9020
Let x = 1749 + -3206. Let t = x + 7346/5. Find the common denominator of t and -40/19.
95
Find the common denominator of 37/1120 and 1/(-64)*-242 + -6.
1120
Suppose 4*k - 150 = -5*q + 374, -5*q = k - 146. Suppose 0 = 16*w - k - 770. Calculate the least common multiple of 40 and w.
280
Suppose 4*h + 61 = l, -4 = -1199*h + 1198*h. What is the smallest common multiple of l and 264?
1848
Suppose 86*o - 21356 = -3368 + 10392. Calculate the lowest common multiple of o and 385.
2310
Let s(b) = 69*b + 2500. What is the lowest common multiple of s(-36) and ((-28)/6)/(2/(-6))?
112
Let a be (32/(-112))/(-2 - 13/(-7)). Suppose -5*h - 3*o = o - 255, a*h + 4*o = 102. What is the lowest common multiple of 7 and h?
357
Let w be (-1)/(3 + (-18236)/6080). Let d be (-8)/20 + (-7358)/w. Let x = d - -32/19. Calculate the common denominator of x and -49/4.
8
Let b = -2 + 22. Let s = 105 - 75. Suppose s*c - 80 = 25*c. Calculate the lowest common multiple of b and c.
80
Find the common denominator of 61/1764 and 87423/4508*(-10)/(-3)*2/(-150).
8820
Let o(y) = y**2 + y + 293. Let t be o(0). Let h = t - 2917/10. Let p = -16360 + 359861/22. What is the common denominator of h and p?
110
Let q(s) = 12*s**2 - s + 160. Calculate the lowest common multiple of 440 and q(0).