?
5
Suppose 13*k = 16*k - 390. Let a = 167 - k. What is the remainder when a is divided by 14?
9
Suppose -m - 3*k = -31, -49 = -3*m - k + 3*k. Suppose 0 = v + 5*b - 80, 4*v + 10*b = 5*b + 350. Calculate the remainder when v is divided by m.
14
Let o = 2157 - 2146. What is the remainder when 1490 is divided by o?
5
Suppose 40*r - 3*d - 3855 = 2011 + 2223, -2*d - 6 = 0. Calculate the remainder when r is divided by 1 + 51 - (1 + -1).
46
Suppose -10*z + 264 = -8*z. What is the remainder when (82*(-2)/(-4))/(22/z) is divided by 65?
51
Let c(n) = n**3 - 57*n**2 + 95*n - 2130. Suppose 2*k - 7*k + 70 = 0. Calculate the remainder when c(56) is divided by k.
12
Suppose 49*a - 1533 = 1152 - 39. Calculate the remainder when 799 is divided by a.
43
Let t(r) = 184*r**2 - 46*r - 2. Calculate the remainder when t(-4) is divided by 31.
26
Let v(p) = -6*p + 311. Calculate the remainder when 747 is divided by v(21).
7
Let j be 1/2*0/(-14 - -13). Suppose 2*y - 66 = -m, -3*y + m - 6*m + 106 = j. Calculate the remainder when y is divided by 11.
10
Let k(g) = 43*g - 4. Let f be k(4). Suppose o - f = -2*o. What is the remainder when o is divided by (-3427420)/(-171790) + 3*4/246?
16
Let s = 25 + -22. Suppose z + s*l = -2*l + 35, -z + 50 = 2*l. Suppose -16 = -4*h + z. Calculate the remainder when h is divided by 5.
4
Let p = 5130 - 5076. Calculate the remainder when p is divided by 8.
6
Let t = -230 - -337. Let z = -6 + t. What is the remainder when z is divided by 13?
10
Suppose 3*n + 131 = 5*u, -76 = -4*n - 104. Calculate the remainder when u is divided by 11.
0
Let f = 3 + 0. Suppose 0 = 3*d + 2*z + 38, d = -5*z - 1 - 16. What is the remainder when 31 is divided by f - d - (3 + 1)?
9
Let s(j) = -j + 4. Let i be s(4). Suppose 2*v + 104 = 4*m, i = 3*m + m + 5*v - 118. Let n = 467 + -452. What is the remainder when m is divided by n?
12
Let h = -160 - -640. Let r = -381 + h. What is the remainder when r is divided by (100/6)/((-1)/(-3))?
49
Suppose 4*i - 10 = 2*w, 0*w + 5*w + i - 41 = 0. Calculate the remainder when 192/15 - (-3)/15 is divided by w.
6
Suppose -16*r + 1301 + 1819 = 0. Calculate the remainder when r is divided by 38.
5
Calculate the remainder when 4958 is divided by 6408/72 - (4 - (-8 + 3)).
78
Let z(d) = 5*d**2 - 106*d + 101. What is the remainder when z(21) is divided by 76?
4
Let i(n) = 7*n**3 - 16*n**2 + 51*n + 1. Calculate the remainder when i(7) is divided by 394.
5
Let x(m) = -m**2 - 9*m - 6. Let w be x(-8). Suppose w*r - 12 = -2*r. Let b(n) = n**2 - 70*n - 1472. Calculate the remainder when b(-17) is divided by r.
1
Let p be (-7)/(-2)*(-210)/(-49). Let b(w) = w**3 + 3*w**2 - 5*w - 2. Let i be b(-4). Suppose i*n + 3 - p = 0. What is the remainder when 9 is divided by n?
3
Suppose 0*o = -5*o + 10. Suppose 0 = -3*l + 3*t + 21, 1 - 8 = -l - o*t. What is the remainder when (-405)/10*(-196)/882 is divided by l?
2
Let i(y) = -y**3 - 7*y**2 + 7*y + 29. Let p be (36/90)/(1/(-20)). What is the remainder when 183 is divided by i(p)?
35
Let s = -38423 - -88568. Calculate the remainder when s is divided by 12.
9
Let v(t) = t**3 - 42*t**2 - 173*t - 464. Let w = -168 + 280. What is the remainder when w is divided by v(46)?
28
Calculate the remainder when ((-5)/((-90)/(-24)))/(-5 + 121330/24270) is divided by 60.
58
What is the remainder when 431 is divided by (-30)/2 - -14 - (-1 - -2)*-107?
7
Let i be (-1 + 20/(-12))/(12/(-90)). Suppose 5*j = 0, -5*j = -4*f + i - 0. Calculate the remainder when 7 is divided by f.
2
Suppose 0 = 3*y - g - 1109, g + 2*g + 1119 = 3*y. What is the remainder when y is divided by (174/(-261))/((2/(-186))/1)?
58
What is the remainder when ((-6540)/(-70))/((-6)/(-196)) is divided by 71?
70
Suppose 0 = -u + 3*x + 70, -18*x + 13*x = -25. What is the remainder when 141 is divided by u?
56
Let z(g) = g**2 + 94*g + 2400. What is the remainder when z(-59) is divided by 14 + (0 - (2 + -2))?
13
Suppose n + n = -n, 5*n = -2*f + 8948. Calculate the remainder when f is divided by 11.
8
Suppose 884*g = 881*g - 9, 4*z = 4*g + 824. What is the remainder when z is divided by 53?
44
Let r = -9820 + 10058. What is the remainder when 1409 is divided by r?
219
Suppose 2*x + 2*u - 40 = 0, -7*u = -3*u - 8. Suppose -m + 342 = 5*g, -4*m + 9*g - 6*g = -1276. What is the remainder when m is divided by x?
16
Suppose -120 = 14*d - 18*d. Suppose 0 = 2*m + y - 11, 5*m + 4*y = y + d. Suppose m*q = 5 + 34. What is the remainder when q is divided by 4?
1
Suppose 3*h + h + 3*a - 1544 = 0, h + 3*a - 377 = 0. Calculate the remainder when h is divided by (-14)/35 + 0 + -2 + (-1752)/(-30).
53
What is the remainder when 10/(-14)*-1 + (-797400)/(-1575) is divided by 161?
24
Suppose 5*f + 6 = 3*f - 5*h, 2*h = f - 6. Suppose -46 = -s - 2*o, -4*o - f - 10 = 0. Calculate the remainder when 310 is divided by s.
50
Suppose -3*z = 4*q + 3, 3*q - 6 = -4*z - z. What is the remainder when z*(412/3 - 2) + 2 is divided by 41?
39
Let p(m) = -45*m - 9. Let q(c) = 44*c + 10. Let w(k) = -5*p(k) - 4*q(k). Let l be w(1). Suppose l - 45 = o. What is the remainder when 26 is divided by o?
8
Let d(q) = 485*q + 15538. Calculate the remainder when 1700 is divided by d(-32).
8
Suppose -5621 = 142*w - 46091. Calculate the remainder when w is divided by 89.
18
Suppose -5*h - 4*v = -330, -384 = -5*h + 4*v - 14. Suppose -1733*q + 50086 + 26166 = 0. Calculate the remainder when h is divided by q.
26
Suppose 145*w - 13959 = 149444 - 43053. Calculate the remainder when w is divided by 61.
37
Suppose -44*r = -50*r + 60. Suppose -76 - 58 = -2*z. What is the remainder when z is divided by r?
7
Let c(g) = -128*g**2 - 4*g + 37. What is the remainder when 422 is divided by c(0)?
15
Let m be 3/30 + (-2604)/40. Suppose 3*a + 3 + 18 = 0. Let r = a - m. Calculate the remainder when r is divided by 20.
18
Suppose 257 + 154 = 2*u + 315. What is the remainder when 115 is divided by u?
19
Let s(f) = f**2 - 11*f + 8. Let n be s(12). What is the remainder when (-247)/(-4) - (-5)/n is divided by 4?
2
Let v(d) be the second derivative of d**4/12 - 7*d**3/3 - 31*d**2/2 - 58*d. Let t = -1 + 17. What is the remainder when 3 is divided by v(t)?
0
Let h = -159 + 201. Let x = 253 + -86. What is the remainder when x is divided by h?
41
Let h(f) = 543*f**2 - 443*f. What is the remainder when 214 is divided by h(1)?
14
Let m = -133 + 131. Let t be (m - (-1 - 5)) + -2. Suppose 11*s - t*s = 378. What is the remainder when 292 is divided by s?
40
Let r(o) = o + 36. Let f be r(-19). Let p be (f - 17) + (0 - (3 - 2)). Calculate the remainder when (430/(-5))/(p/1) is divided by 44.
42
Let j = -40 + 31. What is the remainder when 90 is divided by 2*-60*j/(90/4)?
42
Let w = 31942 - 31869. Suppose -4*y - 9 = -29, -4*y - 36 = -2*t. What is the remainder when w is divided by t?
17
Let h(l) = 3*l**2 + 38*l + 91. What is the remainder when 512 is divided by h(-3)?
0
Suppose 0 = 4*x + 5*u + 22960, -2*x - 22932 = 2*x - 2*u. Let v be (-12)/16 + x/(-20). Suppose 15*o - v = 4*o. Calculate the remainder when 75 is divided by o.
23
Let r(p) = -p**2 + 5*p - 2. Suppose 3*s = -2*s + 15. Suppose -35 = -27*u + 19. What is the remainder when r(s) is divided by u?
0
Let q(f) = -9*f**2 + 64*f + 3. Suppose 5*l - 3*o = 44, o + 3 = -0. Calculate the remainder when 57 is divided by q(l).
7
Suppose -2*y = -24369 + 6475. What is the remainder when y is divided by 331?
10
Let g = 125 - 5. Suppose -90 = -3*n + 5*z - 4*z, -4*z + g = 4*n. Suppose 19 = -0*v + v. What is the remainder when n is divided by v?
11
Suppose 10*r - 5*r + 2*q - 135 = 0, -5*r + 135 = -3*q. What is the remainder when 1779 is divided by r?
24
Suppose -x - 4*g = 6, -5*x - 48*g + 33 = -49*g. What is the remainder when 164 is divided by x?
2
Let l(x) = -x**3 - 10*x**2 - 9*x + 32. Let c be l(-11). Suppose m - 4*k - k = 36, -k = -5*m + c. Calculate the remainder when 61 is divided by m.
10
Suppose 2*p + g + 3 = -0*g, 3*g = -4*p - 1. Calculate the remainder when 173 is divided by 58*(-2 - -3)*(-3 - p).
57
Let v(k) = k**3 + 5*k + 5. Suppose -5*w + b = -132, -13*b = -11*b + 4. What is the remainder when v(5) is divided by w?
25
Let i(a) = 57*a**2 + 433*a + 10. Calculate the remainder when 1754 is divided by i(-8).
8
Let p = 5 - -6. Let v(h) = -h**2 + 40*h - 122. Suppose 5*i - 160 = -4*r, -89 = -3*r 