 - 2*s = -3*s + 30, 2*a - 3*s - 29 = 0. Let u(b) = 587*b + 7061. What is the remainder when u(-12) is divided by a?
3
Let m = 2613 - 1477. What is the remainder when m is divided by 114?
110
Let k(a) = -406*a - 419. Calculate the remainder when k(-2) is divided by 25.
18
Suppose 4*r - 45 = -0*r + j, -4*r + 30 = 2*j. Suppose 9*i = r*i - 3. Suppose -t + 2*t - 30 = -m, i*m - 55 = 4*t. What is the remainder when 72 is divided by m?
22
Suppose -1 = -4*k - 5. Suppose -24 = -3*p + 18. Calculate the remainder when (-109)/k + 1 + -2 is divided by p.
10
Calculate the remainder when 2894 is divided by ((-12)/22)/(38/(-418)).
2
Suppose 2*s - 238 = -5*q, 486 = 4*s - 0*s + 5*q. What is the remainder when 3841 is divided by s?
121
Let o be 3/(0 + (-4 - (-44)/8)). Suppose -o*f + 59 = -661. Suppose -4*b - 3*m + f = 0, 3*m - 148 = -3*b + 119. What is the remainder when b is divided by 48?
45
Let i(z) = 19*z - 3. Let s be i(-7). Let f = s + 175. What is the remainder when f is divided by 8?
7
Let o(k) be the third derivative of k**5/60 - 5*k**4/8 + 23*k**3/2 + 2*k**2 - 2. Calculate the remainder when 336 is divided by o(16).
81
Let o(j) = j**3 - 18*j**2 - 36*j - 25. Let p be o(20). Suppose 9*g - 17 = p. Calculate the remainder when g is divided by (-3 - -3) + 4/2.
0
Calculate the remainder when ((-16)/32)/(8/(-3904)) - (-2 + 1) is divided by 157.
88
Let w = 10276 + -10026. Calculate the remainder when w is divided by 85.
80
Suppose 28*d = 1319 + 651 + 4918. What is the remainder when d is divided by 93?
60
What is the remainder when 4211 is divided by ((0 - 13)/(-39))/(3/108*1)?
11
Let a(i) = -5*i - 8. Let g be a(-3). Suppose 0 = g*j + 2*j - 81. Suppose 4*t - 182 = -9*t. What is the remainder when t is divided by j?
5
Let j(i) = 5*i - 48. Let l be j(-3). Let a = l + 96. Calculate the remainder when a is divided by 16.
1
Let n = -3196 + 3272. Calculate the remainder when n is divided by 32.
12
Let b(t) = 14*t**3 + 3*t**2 - 143*t + 411. Suppose -s + 4 = 4*n - 259, 5*n - 337 = -4*s. Calculate the remainder when b(3) is divided by n.
62
Calculate the remainder when -3*(12 + (-290)/40)*-4 is divided by 51.
6
Let w = 3111 - 2154. Calculate the remainder when w is divided by 6.
3
Let i(q) = -q**2 + 4*q - 11. Let t(n) = -n**2 + 5*n - 11. Let r(y) = 4*i(y) - 5*t(y). What is the remainder when r(-5) is divided by 21?
18
Let g(j) = -j**2 + 4*j - 6. Let d be g(3). Calculate the remainder when 4/(-12) + 884/51 is divided by 14 + (1 + 0)/(d - -4).
2
Suppose i + 754*t = 755*t + 5136, -25668 = -5*i - t. Calculate the remainder when i is divided by 107.
105
Suppose 212*n - 855 = 207*n. Calculate the remainder when 692 is divided by n.
8
Let q(i) = 2*i - 15. Let k be q(10). Suppose 381 - 106 = k*x. What is the remainder when x is divided by 19?
17
Let m(w) = -w**3 + 6*w**2 + 5*w + 69. What is the remainder when 93 is divided by m(7)?
38
Let u(c) = c**3 - 49*c**2 - 89*c + 131. What is the remainder when u(51) is divided by 23?
12
Let w(h) = 6*h + 359. What is the remainder when w(-6) is divided by 107?
2
Let i = 386 + -767. Let q = i + 421. What is the remainder when q is divided by 26?
14
Suppose 225*c = 8991 + 337059. Calculate the remainder when c is divided by 267.
203
Suppose 385 = -3*y + 8*y. Suppose o + y - 179 = 0. Suppose 30*d - o = 27*d. What is the remainder when 67 is divided by d?
33
Let u(n) = 12*n + 9. Let h = -103 + 107. Let t be u(h). Suppose 55*l + t = 58*l. Calculate the remainder when l is divided by 7.
5
Suppose -a + m - 6*m = -400, 4*a - 1532 = -3*m. Suppose 12*i + a = 32*i. What is the remainder when 52 is divided by i?
14
Let m be ((-7)/(-9) - 16/(-72)) + 13. Let b(g) = -6*g - m*g - g**2 - 14 + 6. Calculate the remainder when 19 is divided by b(-19).
8
Let p(l) = -2*l**2 + 153*l - 213. What is the remainder when 283 is divided by p(75)?
7
Suppose 2*z - t + 3*t - 1032 = 0, -z + 501 = -2*t. Let s = z + -459. What is the remainder when 100 is divided by s?
48
Suppose 328 - 112 = 4*y. Suppose -21*o - 2*o = -46. Calculate the remainder when y is divided by (-1)/(o*(-7)/154).
10
Suppose 0 = -2*f - 37 + 39. Suppose 2*j - 5*m - 5 = 0, -4*j - f = -2*m - 19. What is the remainder when (-2 + 35)*j/((-30)/(-8)) is divided by 13?
5
Suppose -5*i - l = -1472 - 403, 0 = -i - 3*l + 375. Calculate the remainder when 1135 is divided by i.
10
Suppose 19*z + 16*z - 6*z - 203 = 0. Suppose 0 = -3*p - 2*p + 5. What is the remainder when z is divided by p?
0
Let g = 88 + -72. Suppose 185 = g*q - 11*q. What is the remainder when 69 is divided by q?
32
Suppose -27*c + 16*c = 55*c - 5610. Calculate the remainder when 1102 is divided by c.
82
Let v(s) = s**3 - 10*s**2 - 15*s + 21. Let j be v(12). Let b = -84 + j. Calculate the remainder when b is divided by 24/(-10)*(1 + -6).
9
Suppose -m - 5*t = -3*t + 6, -5*m - 21 = t. Calculate the remainder when 149 is divided by 26/((3 + -2)/1) - m.
29
Suppose 100*f + 174*f - 428904 = -170*f. What is the remainder when f is divided by 48?
6
Let v(a) = 37*a**2 + 70*a - 74. Calculate the remainder when 374 is divided by v(1).
11
Let z = 262 - 262. Suppose s = -0*s + 48. Calculate the remainder when -8 + (103 + z - 1) is divided by s.
46
Suppose 0 = -2*g - 0*g + 10, u - 317 = -4*g. Calculate the remainder when 306 is divided by u.
9
Calculate the remainder when (0/(-2))/(3 + -1) - 27*-10 is divided by 15.
0
Suppose 8*p = 314 - 282. Let y(s) = -s - 2. Let n be y(-4). What is the remainder when -2 - -61 - (-2 + p/n) is divided by 22?
15
Let w be 2*-1 - (4 - 0). Let d(b) be the third derivative of b**4/12 + 11*b**3/3 + 2010*b**2 + 1. What is the remainder when 16 is divided by d(w)?
6
Suppose -3*z + 116 - 20 = 0. Let l(h) be the first derivative of -h**4/4 - 7*h**3/3 - 5*h**2/2 - 18*h + 142. What is the remainder when z is divided by l(-7)?
15
Suppose p + 6*l - l = 17, -4*p = 4*l - 132. Calculate the remainder when p is divided by -38*(751/(-19) + 39).
17
Suppose 9*s = 8*s - 1. Let j be s/2*-15*16/(-40). Let a = j + 21. What is the remainder when a is divided by 7?
4
Suppose -c + 4*t = -5*c, 2*c - 2*t = 20. Suppose -19*y - 11*y + 120 = 0. What is the remainder when y*(-52)/(-16) - 4 is divided by c?
4
Let w = 2551 - 2535. Suppose -3*l = -0*l - 264. Calculate the remainder when l is divided by w.
8
Suppose 7*i = 12 + 2. Let c(a) = 2*a**2 + 21 - a - 3 - a**3 - 3*a**i + 2*a**2. Calculate the remainder when 87 is divided by c(0).
15
Suppose -9*k = -4*k - 0*k. Suppose 6*r - 2*r - 1172 = k. What is the remainder when r is divided by 49?
48
Suppose 4*j - 73 = -21. Let f = 28 - j. Suppose -p - 100 = -174. Calculate the remainder when p is divided by f.
14
What is the remainder when 5/(1 + -16)*(-3)/2*888 is divided by 86?
14
Suppose 5*x + 50 = -19*b + 20*b, -14 = -2*x. What is the remainder when 732 is divided by b?
52
Suppose 0 = -14*p + 12*p + 50. Suppose p = 4*o + 1. Suppose 0 = 12*b + o*b - 414. Calculate the remainder when 45 is divided by b.
22
Let y(w) be the second derivative of w**5/10 + 25*w**4/12 + 3*w**3/2 + 18*w**2 - 105*w. Calculate the remainder when y(-12) is divided by 25.
22
Suppose -5*h - 1039 + 1049 = 2*i, -5*i = 25. Suppose 26 = v + 3. Calculate the remainder when v is divided by h.
3
Suppose 0 = 5*t - 1593 + 428. Suppose -s = -42 - t. Suppose -4*h + 25 = -s. What is the remainder when h is divided by 20?
15
Suppose 258 = -3*q - 243. Let o(c) = 257*c - 760. What is the remainder when q/(-4) + (-3)/4 is divided by o(3)?
8
Let t be 115/40 + -3 + (-991)/8. Let v = t + 130. Calculate the remainder when 147 + (-6)/(-2) - (v - 2) is divided by 37.
35
Let a(f) = -f**3 + 28*f**2 + 194*f - 24. Let n = -29 + 47. What is the remainder when a(-6) is divided by n?
0
Let m(f) = -9*f + 3. Let a be 10/(-10)*(0 + 122)/(-2). Suppose 3*n - a = 4*k, -3*n + 3*k - 4*k + 56 = 0. Calculate the remainder when n is divided by m(-1).
7
Let c = -66 - -77. Suppose -2*n - 3*q - c = 0, 5*n - 3*q + q = -75. Let l = n - -14. What is the remainder when 2 is divided by l?
0
Suppose 188*m - 103140 = 53*m. What is the remainder when m is divided by 54?
8
Suppose 2*q = 3*q + k - 26, 0 = 2*k - 4. Let h be 37 + 9/(-6)*(2 + 0). What is the remainder when h/119 + 236/7 is divided by q?
10
Let x = -56 + 1896. Suppose -56 = -12*r + x. Calculate the remainder when r is divided by