ided by z(19).
10
Let x = 141 - 129. What is the remainder when (-426)/(-8) + (9/x)/1 is divided by 18?
0
Let z = -8815 - -9538. What is the remainder when z is divided by 31?
10
Let b(n) = 79*n**2 - 22*n - 18. What is the remainder when b(2) is divided by 46?
24
Suppose 0 = -s - 7*s + 464. Suppose -5*t = -x + 19 - 5, -t + s = 3*x. What is the remainder when (0 - -2)*(-18)/(-1) is divided by x?
17
Let g = 34 - 39. Let f(d) = -4*d - 8. Let w be f(g). Suppose -2*a + 54 = -w. Calculate the remainder when a is divided by 17.
16
Suppose -b = -l - 1 - 9, 5*l = b - 26. Suppose -b*a = -a - 460. Let y = -77 + a. Calculate the remainder when 25 is divided by y.
10
Let n(a) = a - 4. Let p be n(6). Suppose -q + 3*z - z = -35, 136 = 4*q - 4*z. What is the remainder when q is divided by 35/p + 1/2?
15
Let c(l) = -l**3 - 4*l**2 - 4*l - 1. Let g be c(-3). Calculate the remainder when 861/9 - ((1120/(-15))/8 + 11) is divided by -11*(1 + g/(-1)).
6
Let l be 266/10 - 18/30. Let u(m) = 30 - l - m - 3*m. What is the remainder when u(-12) is divided by 19?
14
Let g(r) = 281*r + 599. Let j = 60 - -81. What is the remainder when j is divided by g(-2)?
30
Suppose 2*t + 76 = 4*n, 0 = -2*n - 2*t - 492 + 536. What is the remainder when 31 is divided by n?
11
Suppose 46*b = -40 - 52. Calculate the remainder when (-5)/((-45)/b) + 4208/144 is divided by 16.
13
Suppose 228*i - 361*i = -401527. What is the remainder when i is divided by 10?
9
Suppose 4*c = 4*k + 8, 5*c - 12*k - 2 = -11*k. Suppose c = -v + 56 + 14. What is the remainder when v is divided by 30?
10
Let n = -19425 + 19472. Calculate the remainder when 3564 is divided by n.
39
Suppose b = k + 16, 0 = -5*b - 3*k + 1 + 87. Let r = 835 + -616. What is the remainder when r is divided by b?
15
Suppose 109*n = 105*n - 1140. Let r = n + 327. What is the remainder when r is divided by 33?
9
Let l = -283 - -147. Let w = 155 + l. What is the remainder when w is divided by 9?
1
Let a = 17964 + -17940. Calculate the remainder when 187 is divided by a.
19
Suppose 0 = -3*m + 4*o + 114 + 77, -3*m - o + 196 = 0. What is the remainder when 276 is divided by m?
16
Suppose 5*g = -129 + 24. Calculate the remainder when (-21)/49 - 2697/g is divided by 29.
12
Let p = -20 - 18. Let a be 60/(p/(-8) - 4). Suppose -9*j - j + a = 0. What is the remainder when 37 is divided by j?
5
Let g(q) = -3*q**2 - 299*q + 428. Calculate the remainder when 428 is divided by g(-101).
20
What is the remainder when (18 - -32) + -4 + 7 is divided by (-750)/(-42) - (-5)/35?
17
Calculate the remainder when 14/(-49) - (7/21 + (-3680)/42) is divided by 63.
24
Let p(r) = -11*r**2 - 2726*r + 509. Suppose 0 = 5*f - 0*f - 120. Calculate the remainder when f is divided by p(-248).
11
Suppose 5*q - 313 + 33 = 0. Suppose 3*g + 12 = -2*z - q, -z - 34 = -3*g. Calculate the remainder when 35 is divided by z/(-3) - 24/18.
5
Let h(g) = g**3 - 10*g**2 - g + 13. Let v be h(10). Let n(z) = 4*z**3. Let w(a) = -a**3 - 3*a - 3. What is the remainder when n(v) is divided by w(-2)?
9
Let g(j) = -j**2 + 17*j - 19. Suppose -4*r + 4*p + 80 = -0*r, -2*p = -3*r + 59. Let u = 33 - r. Calculate the remainder when 44 is divided by g(u).
21
Suppose 0*w = 4*w - 8. Suppose 70*h = 20*h + 29*h + 1302. What is the remainder when h is divided by -3*8/(-3)*w?
14
Suppose 4*d - 559*m = -562*m + 476, -4*d + 6*m = -512. Calculate the remainder when 446 is divided by d.
80
Suppose 141366*t = 141365*t + 470. Calculate the remainder when 1226 is divided by t.
286
Calculate the remainder when 42390/126 - (48/14 - 4) is divided by 49.
43
Calculate the remainder when 3 + (-14)/6 + 2946/9 is divided by 61.
23
Let d(n) = n**3 + 31*n**2 + 25*n - 48. Calculate the remainder when 401 is divided by d(-30).
95
Let t = -26228 - -26502. What is the remainder when t is divided by 22?
10
Let w = 81 - 42. Suppose 3*a - 30 = -4*u + w, 0 = -2*a - 3*u + 47. Let q(l) = 23*l + 4. What is the remainder when q(3) is divided by a?
16
Suppose -1020*r + 7098 = -978*r. What is the remainder when 1683 is divided by r?
162
Suppose -5*g - 25 = o, -13*o - 17*g = -16*o + 181. Suppose 113 = -w + 560. What is the remainder when w is divided by o?
12
What is the remainder when 1906 is divided by (-3816)/27*18/(-48)?
51
Let n = 143 - 238. Let o = -76 - n. What is the remainder when o is divided by 10?
9
Let v(s) = -s**2 + 14*s - 36. Let m be v(9). Suppose -30 = -2*p + u, 3*p - 4*u - m = 31. What is the remainder when 78 is divided by p?
14
Calculate the remainder when 116 is divided by 30 - (-3 + 3)/(-12).
26
Let t(l) = -l**3 - 6*l**2 - 3*l - 6. Let f be t(-6). Let z = -12 + f. Calculate the remainder when 22*(1/(-2) - (-2 + z)) is divided by 17.
16
Suppose -o - 6 = 0, -2945*z - 4*o + 52228 = -2941*z. Calculate the remainder when z is divided by 71.
70
Let y be (-8)/(-12) + 3/((-9)/(-1255)). Suppose -439 = 3*t - 5*o, 3*t + 2*o = 3*o - y. Calculate the remainder when (13/((-65)/t))/((-6)/(-15)) is divided by 7.
6
Let h = -5399 + 5449. Calculate the remainder when 3149 is divided by h.
49
Let u = 327 - 321. Calculate the remainder when (-3)/1 - (-7 + -4) is divided by u.
2
Let r = 92 + 8. Suppose -105*o + r = -100*o. What is the remainder when 76 is divided by o?
16
Let l(y) = -y**3 + 57*y**2 + 327*y - 9. What is the remainder when l(-7) is divided by 26?
6
Calculate the remainder when (2 - (-485)/15)/(1/24) is divided by 11.
10
Let n = 3650 + -3581. Calculate the remainder when n is divided by 66.
3
Calculate the remainder when (-19)/((-361)/152) + (5 - -4263) is divided by 7.
6
Suppose 18 = d + 3*l, 3258*d + 4*l = 3257*d + 23. Calculate the remainder when 12 is divided by d.
0
Let y = 376 - 349. Suppose -26*x + y*x = 25. Calculate the remainder when 2/(-2) + 2*37 is divided by x.
23
Suppose -2493 = -3*c - 5*m, 1854 = 3*c - 3*m - 687. What is the remainder when c is divided by 21?
1
What is the remainder when 358 is divided by 6/45 - 50577/(-1035)?
15
Let o be (3/(-2))/((-4)/(-72)). Let m(n) = -2*n**2 - 80*n - 124. Let x be m(-37). Let i = x + o. What is the remainder when i is divided by 18?
17
Suppose -22 = -3*f + 11. Suppose 2*i - 23 + f = 0. Suppose i*k + 45 = 9*k. Calculate the remainder when k is divided by 6.
3
Let a(s) = 9*s + 38. Let g be a(26). Suppose -8*n + 0*n + g = 0. Calculate the remainder when n is divided by 20 - 9/((-18)/(-4)).
16
Let t = 7 - -6. Let v = 1365 + -577. Suppose 8*r = v - 748. Calculate the remainder when t is divided by r.
3
Suppose 2*f - 44 = -4*i, i + 3*f - 1 = -0*i. Let x(a) = 17 + a**3 - a**2 + 11*a**2 + a - 39*a**2 + 16*a**2. What is the remainder when 149 is divided by x(i)?
29
Suppose -4*j - 4*f + f = -45, 4*j = -5*f + 35. Suppose 75 = 683*r - 680*r. What is the remainder when r is divided by j?
10
Suppose -678 = -o + 43*k, 28*o - 31*o + 4*k = -2659. What is the remainder when o is divided by 299?
295
Let v(q) be the second derivative of -19*q**3/6 + 15*q**2/2 + 7*q. Calculate the remainder when v(-4) is divided by 24.
19
Suppose -2100 = -7*o + 12*o - 20*o. What is the remainder when o is divided by 20?
0
Let l(m) = -54*m - 901. Calculate the remainder when 433 is divided by l(-17).
8
Let i(m) be the first derivative of 15*m**2/2 + 95*m - 73. Calculate the remainder when i(-5) is divided by (-23)/(-3) + 2/6.
4
Let p(v) = 73*v - 278. What is the remainder when 3583 is divided by p(4)?
13
Suppose -30*v + 801 = 7*v - 494. What is the remainder when 5001 is divided by v?
31
Let c(p) = 3*p**2 + 62*p + 477. Calculate the remainder when 536 is divided by c(-8).
17
Let p(f) = f**3 - 8*f**2 - 4*f - 56. Let s = -296 - -328. What is the remainder when p(10) is divided by s?
8
Suppose 5*l + 11 = -4*t, 3*t + 3*l = -2*l - 7. Let y be (119/51)/(3/(-72)). What is the remainder when (-3)/(-1) - (y - t/2) is divided by 16?
9
Let k = 57 + -54. Let d be (-7 + k + 14)*1. Calculate the remainder when 18 is divided by d/2 + -8 + 7.
2
Suppose 3*p - 212 = p. Suppose -3*q - 13 = 4*u + 31, -5*u = 10. What is the remainder when p is divided by (9/(27/(-4)))/(1/q)?
10
Let g = 62 + 20. Let y(o) = o - 5. Let h be y(10). Suppose -78 = -4*n + w + w, -h*w = 25. Calculate the remainder when g is divided by n.
14
Let r(a) = -a**2 - 13*a - 9. Suppose -3*u = 2*t + 11 - 40, 15 = 5*u. What is the remainder when r(-7) is divided by t?