*3. What is the remainder when a(t) is divided by 23?
22
Let q(v) = v**3 + 19*v**2 - 6*v + 141. Calculate the remainder when q(-19) is divided by 52.
47
Suppose 7704 = -224*h - 10084 + 540. Let d be ((-273)/(-9))/(2/6). Let n = h + d. Calculate the remainder when 39 is divided by n.
11
Suppose -58*v = -64*v + 123 + 81. Calculate the remainder when 86 is divided by v.
18
Let j be (1 - (-1)/(-1))/1. Suppose j*t = t - 40. Suppose -4*v + 4*h = -12, 59 = v + 15*h - 9*h. What is the remainder when t is divided by v?
7
Let x(b) = 23*b**2 + 79*b + 18. Calculate the remainder when x(-13) is divided by 192.
190
Let j be (-6)/18*42/(-2). Suppose -j = -41*v + 40*v. What is the remainder when v is divided by 7?
0
Let t = -23682 - -23864. Suppose -2*n = -n - 3*v - 77, -4*n + 3*v = -263. What is the remainder when t is divided by n?
58
Let r be (16 + -17)/((-6)/(-1500)). Let y = 259 + r. What is the remainder when 15 is divided by y?
6
Suppose -3*m - 18 = -5*m. Calculate the remainder when (6/(-18))/((4 + 5)/(-2106)) is divided by m.
6
Let h be 40 - (24/15 - 4/(-10)). Let q = h + -35. Suppose 0 = -2*c - 0*c + z + 22, -q*c + 4*z = -43. What is the remainder when 33 is divided by c?
6
Let z(l) = -l**3 - l**2 + l + 8. Let x = -166 - -166. What is the remainder when 253 is divided by z(x)?
5
Suppose 140*m - 923 = 3137. What is the remainder when 6432 is divided by m?
23
Let b(z) = 89*z**3 - 4*z - z - 13 + 6*z**2 - 88*z**3 + z. Let h be b(-7). Calculate the remainder when (3/(-1))/3*h is divided by 19.
15
Let a(r) = -2*r**2 - 7*r - 1. Let c be a(-3). Suppose -u + c*i + 53 = 0, 3*u - 147 = -2*i + 5*i. What is the remainder when u is divided by 16?
13
Let d = -41 + 43. Suppose d*q - 45 = -39. Suppose 4*h = -4*g + 9*h + 113, 0 = -3*g + q*h + 81. What is the remainder when 87 is divided by g?
21
Suppose 0 = -5*m + f + 1119, 2*m - 4*m + 2*f + 446 = 0. Calculate the remainder when m is divided by 26.
16
Let u(j) = 2*j**2 + 4*j - 14. Let s(p) = p**2 + 8*p + 7. Let q be s(-5). What is the remainder when 1/(-2) + 12/q - -29 is divided by u(-5)?
11
Let a = -9 + 9. Suppose 4*i = k - 13, 2*k - 4*k + i + 40 = a. Let b = -312 + 416. What is the remainder when b is divided by k?
20
Let s = 50 - -14. Let c = -299 - -464. Let y = c - 152. What is the remainder when s is divided by y?
12
Let z = -541 + 544. Let k(l) = -l**3 - 5*l**2 - l - 3. Let d be k(-5). What is the remainder when 130/d + (-8)/12*z is divided by 16?
15
Suppose 4*s + 606 = 3*o - 53, 2*o - 424 = -5*s. Suppose -5*v - o = -267. Suppose -8*i + v*i = 68. Calculate the remainder when i is divided by 12.
10
Calculate the remainder when 322 is divided by (24/140*7)/(-4 + 906/225).
7
Suppose -1138 + 262 = i. Let y be i/3*(-11 + 10). Suppose 48 = 5*b - y. What is the remainder when b is divided by 14?
12
Let n = 31 + -10. Let f be 10/15 + -13*(-20)/15. Calculate the remainder when -3*(25/(-15) + (-456)/f) is divided by n.
18
Let v(u) = u**3 + 22*u**2 + 61*u + 368. What is the remainder when v(-18) is divided by 6?
2
Let d(s) = -4*s**3 - 3*s**2 + 2. What is the remainder when ((-13)/((-13)/164))/(8/12) is divided by d(-3)?
80
Let r = -173 + 96. Let v = 7 - r. What is the remainder when v is divided by (-1 - 17/2)*-2 - 2?
16
Suppose -2180 = 1102*x - 1106*x + 4*p, p = 4*x - 2177. What is the remainder when x is divided by 159?
67
Let j(f) = -42*f - 1825. What is the remainder when 1951 is divided by j(-44)?
19
Let h(p) = 3 - 16 + 11*p**2 - 12*p**2 - 17*p. Let w(d) = 2*d**2 + d - 1. Let b(c) = h(c) + 2*w(c). What is the remainder when b(8) is divided by 15?
12
Let b(z) = -z**3 + 10*z**2 - 14*z - 17. Let d be b(6). Let v = 14 + d. Calculate the remainder when v is divided by 11.
2
Let o(y) = y**3 - 70*y**2 + 1037*y - 224. Calculate the remainder when o(49) is divided by 354/9*3/2.
50
Let d(u) = 5*u**2 + 14*u + 50. Let p be d(-4). Let w = p + -8. Suppose 7 = -4*f + 55. Calculate the remainder when w is divided by f.
6
Let l(o) = 5*o + 25*o + 5*o - 11*o - 46. What is the remainder when 367 is divided by l(5)?
71
Suppose 2276 = 11*q + 461. Let v = -163 + q. Calculate the remainder when 15 is divided by v.
1
Suppose 22*v + 240 = 46*v. What is the remainder when 4215 is divided by v?
5
Suppose -5*t + 95 - 115 = 0. Suppose -f + 201 = 2*j, 0 = -4*j - 2*f + f + 397. Let u = j - t. What is the remainder when u is divided by 27?
21
Suppose -2 = -2*j + 2. Let l(i) = 114*i - 2500. Let c be l(22). Suppose -j*q + c = -0. What is the remainder when q is divided by 4?
0
Suppose -9*d - 8*d = -51. Calculate the remainder when (7 - d) + -1 + 93 is divided by 25.
21
Suppose 12 = -0*m + m. Let o be m/(-9) + 110/15. Suppose 9*w - o*w = 72. What is the remainder when 46 is divided by w?
22
Let s(c) = -57*c**3 - 1. Suppose -4*y + 747 = -485 - 100. What is the remainder when y is divided by s(-1)?
53
Let o(t) = -10*t - 28. Let s be o(-11). Let g = -40 + s. Calculate the remainder when g is divided by (-2 - -3)/(1/2)*12.
18
Suppose -645 = -t + 5*i, -t + 2681*i + 690 = 2685*i. Calculate the remainder when t is divided by 7.
5
Suppose -9*k + m = -1189, -2*m + 11 = 13. What is the remainder when 262 is divided by k?
130
Suppose 403 = 3*u + 4*m, -2*m - 124 = -2*u + 112. What is the remainder when 269 is divided by u?
19
Let c be (24 + -21)/(3/(-52)). Let h = 45 - c. Calculate the remainder when h is divided by 10.
7
Let m(n) = -18*n + 9*n + 7*n. Let x be m(-21). Let p = x - 1. Calculate the remainder when p is divided by 15.
11
Let y be 2/(-8) - (-990)/(-72). Let l be (-81)/21 + 2/y. Let k = l - -13. Calculate the remainder when k is divided by 6.
3
Suppose -o - 5*y + 15 = 0, -4*o = -5*y + 2*y - 60. Suppose -137 = -o*p - 1487. Calculate the remainder when 57 is divided by (-20)/p - 133/(-9).
12
Let h = -778 + 781. Calculate the remainder when 241 is divided by h.
1
Let v be 20/(-25) + (-118)/(-10). Suppose 215 = 4*u - 5*o, 3*o - v - 4 = 0. Suppose 34*i = 29*i + u. What is the remainder when 34 is divided by i?
10
Suppose 0 = -3*i + 16 + 8. Let f(w) = w**2 - 35. Suppose -101 = -2*z + 71. What is the remainder when z is divided by f(i)?
28
Calculate the remainder when (1760/30 + -39)/((-2)/(-42)) is divided by 48.
29
Let o be (-39)/(-6) + 15/(-6) + -2. Suppose 198 + 81 = 3*d + o*h, h - 93 = -d. Calculate the remainder when d is divided by 4.
1
Suppose 4*u - 669 = -3*d, 2*u - 113 = 3*d + 226. Let r = u - -79. Calculate the remainder when r is divided by 42.
37
Suppose 2*z - h - 94 = 0, -18*h = -z - 23*h + 58. What is the remainder when 4510 is divided by z?
46
Suppose -7 = 4*b + 9, 4*f + 2*b - 8 = 0. What is the remainder when 113 is divided by f/9*(-999)/(-74)?
5
Let c(k) = -4*k**2 + 6*k + 2. Let l be c(2). Calculate the remainder when 38 is divided by l/3*(-4 + -5).
2
Suppose -5*m - 11*m + 2112 = 50*m. Calculate the remainder when 1433 is divided by m.
25
Suppose -3*c - 276 = -3*a, a - 42 = 5*c + 30. Suppose w - 2*w - 3*n + 47 = 0, 5*n = -2*w + a. Calculate the remainder when 108 is divided by w.
52
Suppose 4*a - 652 = -5*z, -8*a + 3*a + 815 = 2*z. What is the remainder when a is divided by 67?
29
Let j(p) = -p**2 - 35*p - 169. Calculate the remainder when 1131 is divided by j(-28).
24
Suppose 215 = 3*b + 197. Let y = -11 - -24. Calculate the remainder when (-978)/(-27) - b/27 is divided by y.
10
Suppose -2*j + 96 = 2*j - 2*n, 126 = 5*j - 4*n. Calculate the remainder when 6/4 + 2115/30 is divided by j.
6
Suppose u - 24 = -z, 0*z = -5*z - 5. Let o = -63 - -83. Let w = 66 - o. Calculate the remainder when w is divided by u.
21
Let k = 57 - 54. Suppose k*m = -4*m + 28. Let i = m + 42. Calculate the remainder when i is divided by 16.
14
Let u = 12 + -9. Let r(d) = 7*d**2 + 3*d + 2. Let o be r(-1). Suppose -o*g + g + 55 = 0. Calculate the remainder when g is divided by u.
2
Suppose -y - 68 = -5*l, -2*y - 57 = -l + 79. Let j be y/(-20) + (-2)/5. Calculate the remainder when 7 is divided by (-5 - -2)*j/(-3).
1
Let x(v) be the first derivative of -7*v**2/2 + 9*v - 77. Calculate the remainder when 150 is divided by x(0).
6
Let i(x) = 2*x**3 - 33*x**2 - 33*x + 25. Calculate the remainder when i(25) is divided by 351.
348
Let s(j) = j**3 - 8*j**2 - j + 3. Let b be s(8). Let w(i) = 8*i**2 + 19*i + 1. What is the remainder when w(b) is divided by 8?
2
Calculate the