emainder when 8 is divided by (t - -3) + 14/2?
2
Suppose -46 = -2*t - 5*k + 7, 3*k = 2*t - 45. What is the remainder when t is divided by (1 - 10)/((-7)/7)?
6
Let y be -6 - 12/(-4) - -9. Suppose -y*g + 556 - 4 = 0. What is the remainder when g is divided by 19?
16
Let c(q) = 21*q**2 + 3*q - 7. Calculate the remainder when 414 is divided by c(2).
82
Calculate the remainder when 484 is divided by 99 - 3 - 1/(1/(-1)).
96
Let x = -184 - -358. What is the remainder when x is divided by 117?
57
Suppose 3*p = 5*b - 177, 9*p - 8*p = -5*b + 181. What is the remainder when 46 is divided by b?
10
Suppose 23 = -5*w + 8. Calculate the remainder when 112 + (-3)/(12/(-16)) + w is divided by 29.
26
Let g(i) = -2*i**3 + 4*i + 4. Let r be g(-5). Suppose 3*n - l = 163, -3*n + r = n + 2*l. What is the remainder when n is divided by 19?
18
Let t(q) = -q**3 + 5*q**2 + 22*q + 14. What is the remainder when 909 is divided by t(7)?
69
Suppose 3*t = -u + 68, u = 5*t + 6*u - 120. Suppose -s + t + 11 = -2*o, -42 = -s - o. What is the remainder when 233 is divided by s?
38
Suppose 37*m = -6*m + 5590. Calculate the remainder when m is divided by 12.
10
Let r be (5/15)/(2/12). Suppose -15 + 3 = -r*s. Let d(f) = 2*f**2 - 5*f + 5. Calculate the remainder when d(4) is divided by s.
5
Suppose 0 = -22*g - 49*g + 1846. What is the remainder when 34 is divided by g?
8
Let y be 3/(-2 + 22/8). Suppose 0 = -y*h - 8, c + 5*h - 4 - 2 = 0. Calculate the remainder when c is divided by 5 + -9 - (-4 - -2 - 11).
7
Suppose -39 = -2*h - 7. What is the remainder when 142 is divided by h?
14
Let h(o) = o**2 + 4*o - 2. Let n be h(-4). Let z be 160/26 - n/(-13). Suppose q + 60 = z*q. What is the remainder when 23 is divided by q?
11
Let n = 854 - 841. Calculate the remainder when 17 is divided by n.
4
Let p(n) = -78*n. Let g be p(1). Let j = -41 - g. Suppose -570 = -4*c + 5*m, -5*m - 153 = -c - 9*m. Calculate the remainder when c is divided by j.
34
Let s(a) = -a**2 + 10*a + 31. What is the remainder when (-4)/14 + 191/7 is divided by s(-2)?
6
Suppose -2*t + 70 = 2*u + u, 105 = 3*t + u. Let a be ((-10)/75*-25)/(2/6). Let z = a + 2. What is the remainder when t is divided by z?
11
Let d = 28 + -24. Suppose -5*u + 63 = 2*r, -r + 17 = u - 16. What is the remainder when r is divided by 208/40 - d/(-5)?
4
Let p(d) be the second derivative of 3*d**5/10 - d**4/12 - d**2/2 + d. Let c be p(2). Suppose -5*f = -c + 8. What is the remainder when f is divided by 5?
2
Let u(g) = -g**3 - 32*g**2 + g + 65. What is the remainder when u(-32) is divided by -3*(1 - 0) - -15?
9
Let s be (-11)/((-5)/45*3). What is the remainder when 2464/s - 2/(-6) is divided by 19?
18
Suppose 11*n - 150 = -14*n. What is the remainder when 43 is divided by n?
1
Suppose -3*c - 3*h + 105 = 0, -h - 125 = -4*c - 2*h. Let n = -51 - -109. Calculate the remainder when n is divided by c.
28
Let j = -13 - -11. Let z be 168/6*(-5 - -3). Let v = j - z. Calculate the remainder when v is divided by 19.
16
Calculate the remainder when 67 is divided by (8/(-6))/((-3)/(3 - -60)).
11
Suppose -2 = -3*j - 4*b + 1, -4*j + 8 = 4*b. Suppose 2*r - 9 = -1. Calculate the remainder when j is divided by r.
1
Suppose 0 = v + v - 36. Let w be 80/24*(-6)/(-5). Suppose c - w = 6. What is the remainder when v is divided by c?
8
Suppose 4*r = -2*r + 12. Suppose -r*y + 6 = 0, 0 = -2*p - p + 5*y + 120. What is the remainder when 132 is divided by p?
42
Let a = -3 - -3. Let z be (10 - 2) + (a - 1). Let l = -1 + z. Calculate the remainder when 15 is divided by l.
3
Suppose 3*j + h - 284 = 3*h, -h - 286 = -3*j. What is the remainder when j is divided by 36?
24
Suppose -t + 15 = -0*t. Let g(v) = -2*v**2 + v. Let j be g(0). Let o(r) = r**3 + r**2 - r + 27. What is the remainder when o(j) is divided by t?
12
Let i = -1729 - -1766. What is the remainder when 1589 is divided by i?
35
Let f = -41 + 57. Let r(j) = -j + 38. Calculate the remainder when r(-20) is divided by f.
10
Suppose -4*b - 4*s = -1408, b + 5*s - 342 = 9*s. Suppose 9*v - 190 = b. What is the remainder when v is divided by 31?
29
Let y(q) = -q**2 + 6*q - 2. Let p be y(5). Let j(g) = p*g - g - 5*g + 3 - 2. Calculate the remainder when j(-8) is divided by 9.
7
Suppose -3*s + 23 = i, 5*i + s - 79 = -2*s. Suppose -6*n = -3*n + 4*b - 75, 0 = 4*n - 5*b - 100. Calculate the remainder when n is divided by i.
11
Let i = -345 + 366. What is the remainder when 209 is divided by i?
20
Let l be (-3)/((-9)/6) - -1. Suppose -8*v - 3*i - 7 = -6*v, -l*v - i = -7. Let w = -5 + 8. What is the remainder when v is divided by w?
1
Suppose 141*j - 145*j + 100 = 0. Calculate the remainder when 196 is divided by j.
21
Let z = 33 + -20. Suppose -t = o + 3, 2*t + 3*t - o - 15 = 0. Suppose 162 = 3*s - 4*d, t*d = -d - 9. What is the remainder when s is divided by z?
11
Suppose 3*u - 9 = -5*k + 91, -4*u - 135 = -5*k. What is the remainder when (-4 - 21/6)*(-108)/9 is divided by k?
21
Let a(s) be the second derivative of s**4/12 + 13*s**3/6 + 17*s**2 + s + 2. Calculate the remainder when 17 is divided by a(-3).
1
Let t = -102 + 147. Calculate the remainder when 129 is divided by t.
39
Suppose 5*q + 2*b - 27 = -0*b, -2*b - 22 = -2*q. What is the remainder when 69 is divided by q?
6
Let h = -1022 - -1197. Calculate the remainder when h is divided by 44.
43
Suppose -t + 2*t = 78. Calculate the remainder when (-3 - -1)/(-2*2/t) is divided by 10.
9
Let u = -256 + 348. Suppose -5*i = -7*i + 48. Calculate the remainder when u is divided by i.
20
Suppose -m - 3*x + 18 = 0, -6*x = 2*m - 10*x - 76. Calculate the remainder when 238 is divided by m.
28
Suppose 0 = -4*b + 3*b + 4. Calculate the remainder when b/2 - (-103 + 1) is divided by 21.
20
Let o = -39 - -45. Suppose 27 + o = u. Suppose 4*v - 2*v - 24 = 0. What is the remainder when u is divided by v?
9
Let s = -25 - -45. What is the remainder when 53 is divided by s?
13
Let k = -35 + 54. Calculate the remainder when -2 - -54 - (-1 + 0) is divided by k.
15
Suppose -17*k + 625 = 8*k. Calculate the remainder when 522 is divided by k.
22
Let t = 61 - 38. Suppose -4*b + w = -163, -2*b + 0*b + 77 = w. Calculate the remainder when b is divided by t.
17
Let d(w) = 3*w**3 + 9*w**2 + 37*w - 27. Let x(m) = -m**3 - 5*m**2 - 19*m + 13. Let a(p) = -2*d(p) - 5*x(p). What is the remainder when 30 is divided by a(9)?
14
Let k = -241 + 1269. Calculate the remainder when k is divided by 21.
20
Suppose 2*o + 28*o - 1230 = 0. Calculate the remainder when 46 is divided by o.
5
Suppose -4*b - 6*u = -4*u - 16, 0 = -5*b + 2*u + 38. Suppose b = -n - 4*a - 29, 2*n = a - 79. What is the remainder when 2128/26 - 6/n is divided by 12?
10
Suppose -4*o - 5*p = -471, -2*o - 2*p + 28 + 206 = 0. What is the remainder when 1479 is divided by o?
111
Calculate the remainder when (2/4)/((-1998)/(-996) + -2) is divided by 14.
13
Let z(q) = -4*q + 9. Let h be z(-17). Suppose 4*t + t - h = -g, 0 = -t + 2*g + 22. What is the remainder when 110 is divided by t?
14
Suppose 2 - 4 = 2*b + 3*p, -3*b + 31 = -4*p. Suppose 5*m - 113 = -5*j - 28, b*j - 5*m - 85 = 0. Let g = 50 - j. Calculate the remainder when g is divided by 18.
15
Let m = 86 + -54. Suppose -191*u + 17073 + 12723 = 0. What is the remainder when u is divided by m?
28
Suppose 4*a = -c + 141, -65 = -2*a - c + 8. What is the remainder when 134 is divided by a?
32
Let d = -11 + 0. Let n = 3 - d. What is the remainder when 32 is divided by 21/n*22/3?
10
Let k(v) = -v**3 - 3*v**2 - v + 6. Let b be k(-8). What is the remainder when (2 - 4)/(((-2)/b)/1) is divided by 16?
14
Suppose 77*b + 1092 = 80*b. What is the remainder when b is divided by 73?
72
Suppose -395 = 5*x - 4*w - 34, 2*x + 4*w = -122. Let k = 105 + x. Calculate the remainder when 142 is divided by k.
34
Suppose -5*y = j + 2*j + 9, -3*y = -j - 3. Suppose y = 14*o - 15*o + 25. Calculate the remainder when 47 is divided by o.
22
Let d(r) = -r - 1. Let o be d(-3). Let m(c) = -c**3 + c**2 + 1. Let h be m(o). Calculate the remainder when h*((-400)/12)/4 is divided by 9.
7
Let r = 280 + -192. Calculate the remainder when r is divided by 7.
4
What is the remainder when (5 - 5) + (-72 - 0)/(-3) is divided by 4?
0
Calculate the remainder when 89 is divided by (-1 - -46 - 3) + 3.
44
Suppose -5*z + 204 = z. Let c = -29 + z. What is 