- 7 = -4. Suppose 0*d + 3*t = 4*d - 2, 12 = 3*d + k*t. Suppose -5*y + 15 = -2*q + d, -y = -5*q - 21. Calculate the least common multiple of 9 and y.
9
Let w = -22583/2355 + -5/471. Let l(v) = 1304*v - 3. Let i be l(-2). Let a = -54881/21 - i. Calculate the common denominator of a and w.
105
Let k(p) = -11*p**2 + 3*p**3 - 22*p + 12 - 4*p**3 - 6*p. What is the smallest common multiple of k(-8) and 18?
396
Let q = -1461587/66 + 22143. What is the common denominator of q and -25/402?
4422
Suppose 26*h + 10920 = 78*h. What is the smallest common multiple of 130 and h?
2730
Let h(l) be the first derivative of -l**4/4 - 13*l**3/3 - 11*l**2/2 + 9*l - 21. Let z be h(-12). Calculate the least common multiple of (0 - 62)/(6/z) and 2.
62
Let d = 5584/3 + -1839. Let x be (-1*1/2)/((-1)/(-78)). Calculate the common denominator of d and (15/9)/(x/91).
9
Calculate the common denominator of ((-1)/(-4))/((-4)/40) and (-94)/24 - (120/18 + -2*3).
12
Let u = -13 + 21. Suppose -222*z - 5086 + 57478 = 0. What is the smallest common multiple of z and u?
472
Suppose 27 = p - 3. Let q = -379725 - -379857. Calculate the lowest common multiple of q and p.
660
Suppose 681*l - 1980 = 637*l. Calculate the lowest common multiple of 335 and l.
3015
Calculate the common denominator of 83/72 and (-8620)/(-1680) - 4/(-14).
72
Suppose -3*x - 4*u + 344 = 0, 4*x + 12*u - 8*u = 460. Calculate the least common multiple of x and 667.
2668
Let j = -395 - -398. Suppose 6 = -j*p, 0*u - u + 5*p + 12 = 0. What is the lowest common multiple of u and 16?
16
Let v be (-24)/5056*(1 - (-8922)/(-9)). Let t = v + -6/79. Calculate the common denominator of t and -59/12.
24
Suppose -b = 5*t - 2040 - 27374, -2*t + 11744 = -5*b. Calculate the smallest common multiple of 20 and 5/(-3) + t/102.
280
Find the common denominator of 2/(-144)*82*(16 + -18) and (-13 - -9) + 139/6.
18
Suppose -4*h = -0*h - 12. Suppose -3*t - j = -33, -h*j = 2*t - 0*j - 15. Let n = t + -11. Calculate the least common multiple of n and 11.
11
Suppose -4*c - 141 = 219. Find the common denominator of 49/30 and (21/2)/7 + 575/c.
90
Let f(r) = -2*r**2 + 51*r - 4. Let j be (22/8)/(14/112). Suppose 3*a + 77 = 4*s + 19, -2*a = s - 20. What is the least common multiple of f(j) and s?
1200
Let u(g) = -10*g**2 - 572*g - 26. What is the least common multiple of 632 and u(-57)?
6952
Let u = 2818 - 455. Let d be (-414345)/(-175) + (-15)/(-25). Let v = d - u. What is the common denominator of v and -31?
7
Let s(w) = 5*w**3 + 55*w**2 + w + 16. Suppose 3*j - 61 - 29 = 0. What is the smallest common multiple of s(-11) and j?
30
Suppose 0 = 497*z - 546*z + 7007. Suppose -2*w - 2*l = -2, -w + 5*l + 9 = -4. Calculate the smallest common multiple of w and z.
429
Let r = -5506 - -6171. What is the lowest common multiple of r and 665?
665
Let j(n) = 31*n**2 - 23*n - 2. Let h be j(3). What is the common denominator of -117/28 and (-294)/h*20/(-15)?
364
Let u be 63 + (-11 - -7 - -4). What is the smallest common multiple of (-3)/(-1) + (u - -3 - 4) and 5?
65
Suppose 12 = 12*o - 8*o. Let a be (-2 + o + -2)*-5 - 0. Let p(u) = u**3 - 6*u**2 + 4*u + 9. What is the lowest common multiple of p(a) and 8?
8
Let g = 910987/184 - 4951. Calculate the common denominator of g and -53/345.
2760
Suppose 552 - 3212 = -19*m. What is the smallest common multiple of m and 308?
1540
Let t = 19739061/10 + -1965022. Let n = t + -8892. Let a = -3834 - -7665/2. Find the common denominator of n and a.
10
Calculate the lowest common multiple of 12/5 - 6/15 and (-39)/(-65)*265 - -13.
172
Let y = 121317 + -56048483/462. Find the common denominator of -59/561 and y.
7854
Suppose 0*p + 4*j + 3260 = 3*p, -2*j - 2172 = -2*p. Let g = p - 768. Find the common denominator of 85/6 and (-1*g/216)/((-5)/15).
18
Let c = 10630 + -212651/20. What is the common denominator of -73/538 and c?
5380
Let y be -7 - (-5 - 8522/(-351)). Let d = 306/13 + y. Find the common denominator of 83/6 and d.
54
Suppose -5*b - 45 = -2*w - 3*w, -19 = 3*b - w. Let q = b - -13. Calculate the least common multiple of q and 87.
696
What is the common denominator of ((-38)/(-8) - (-3 - -9)) + (-63366)/(-51192) and -91/45?
10665
Let p = -241 + 685. Let z = p + -423. Calculate the lowest common multiple of 42 and z.
42
Let s be (23075/(-7690) + 3)*(-8)/(-46). Let j = s - 495182/477549. What is the common denominator of 8/3 and j?
27
Suppose 115040 = -591*k + 132558 + 162146. Let y(r) = r**2 - 6*r + 1. Calculate the least common multiple of y(7) and k.
304
Calculate the common denominator of 168/392 - (-1562)/(-5376) and 37/192.
384
Let a = 111035311 + -10326577241/93. Let y = a + 3154. Let p = -677/124 + y. Find the common denominator of p and 43/22.
132
Let q(h) = -8*h**2 + 8*h + 124. Let v be q(-8). Let d = v + 466. What is the least common multiple of d and 168?
168
Suppose -17 = 8*v - 177. Suppose -3*l + 20 = 5*m, 7 + 13 = 5*m + 4*l. Calculate the smallest common multiple of m and v.
20
Calculate the common denominator of 1/1512 and (-120)/252*(-1)/(-12).
1512
Let b = -13 - -19. Suppose -2*v + r = -14 + 13, 6 = 3*v + 3*r. Suppose -s + b + v = 0. What is the lowest common multiple of 7 and s?
7
Let a(d) = d**2 - 7*d + 23. Let o be a(6). What is the common denominator of 117/10 and 2/o + (-4186)/1190?
10
Let k = -7662473/106 - -72288. Find the common denominator of k and 17/53.
106
Let x(z) = 3*z**2 - 52*z + 25. Let u be x(17). Calculate the common denominator of -65/8 and (3/u)/((-48)/(-174)).
64
Let m = -346817 + 285083209/822. Let u = -382801/411 + m. Let t = u - -955. Find the common denominator of t and 22/35.
210
Suppose 5*n - 5333 = -3*y, -641*n + 619*n = 2*y - 3630. What is the smallest common multiple of 3703 and y?
40733
Let q(o) = 5*o - 41. Let b be q(5). What is the smallest common multiple of 25 and 12/(-9)*180/b?
75
Suppose b - 5 = -8, -3*k - b = -22134. What is the least common multiple of 471 and k?
22137
Suppose 1481*q = 1463*q + 2664. What is the smallest common multiple of 888 and q?
888
Let d(a) = -10*a + 175. Let u be d(33). What is the common denominator of 135/(-28) + u/(-31) and -37/28?
28
Let z = 1/251169 - 4270693/205958580. What is the common denominator of -187/30 and z?
2460
What is the common denominator of (-65)/(-130)*292/18892 and -95/14?
66122
Suppose -3076 - 3672 = -14*d. Let l = d - 461. Calculate the least common multiple of l and 2*16 + -2 + 0.
210
Let s(k) = -61*k**2 + 580*k + 3. Calculate the least common multiple of s(9) and 799.
4794
Let y = -3197 + 111884/35. Calculate the common denominator of y and 35/8*3/(-25).
280
Let n = 3091 - 2707. Calculate the lowest common multiple of n and 96.
384
Let x(i) = -212*i - 2012. Calculate the lowest common multiple of x(-10) and 576.
1728
Find the common denominator of 77/160 and (-2)/(-220)*(170850/120)/(-17).
1760
Let y be 10/(-30) - 8821297/6685560. Let g = y + 1/92855. Find the common denominator of 67/18 and g.
72
Let v = 22553853/200 - 112769. Calculate the common denominator of v and 139/70 - (7 - (-238)/(-35)).
1400
Let h = -23257 - -23442. What is the lowest common multiple of h and 1480?
1480
Calculate the lowest common multiple of 756 and (240/(-21) + (-12)/21)*(-196)/42.
1512
Suppose 5*p - 1152 = -11*p. Suppose 63*t = 59*t + p. What is the lowest common multiple of t and 22?
198
Let q(l) = -l**2 + 12. Suppose 2*j + 0*j = 0. Calculate the lowest common multiple of (((-28)/(-6))/7)/(4/96) and q(j).
48
Suppose -5*a + 4*b = -18, 5*a - 2*a + 5*b = -4. Let n(h) = 2*h - 3. Calculate the least common multiple of (a/14*-6)/((-6)/42) and n(2).
6
Let h = 32 - 20. What is the least common multiple of 6/(-21) - (35002/(-154) + 29) and h?
396
Calculate the common denominator of 145/1056 and (272/(-238) + (-33)/(-28))/((-8)/234).
7392
Find the common denominator of (-4)/86 - (-393127)/(-845466) and -149/24.
696
Let y = 12278 + -12268. Calculate the smallest common multiple of 201 and y.
2010
Let o = 1243 - 1225. Suppose 0 = 54*t - 59*t + 30. What is the lowest common multiple of t and o?
18
Let f = 1/665 + 28531/42560. Find the common denominator of -51/296 and f.
2368
Let c = 440 - 437. Suppose -126 = -c*h - 6*h. Calculate the least common multiple of 8 and h.
56
Find the common denominator of (4806/270)/((-12)/10) + 8 and 139/738.
738