Suppose 14*x - 22*x = -88. Suppose x*o = 132 + 231. What is the remainder when o is divided by 10?
3
Suppose -808*i - 4140 = -877*i. Calculate the remainder when 1104 is divided by i.
24
Suppose -4*b - 8464 = -4*i + 14376, 4*b + 28550 = 5*i. What is the remainder when i is divided by 28?
26
Let n(h) = 181*h - 13936. Suppose 3*c - 20 = -2*c. Suppose c*j + 9 = 5*j. Calculate the remainder when j is divided by n(77).
0
Suppose b = -4*b + 4*v + 14, 5*v = -2*b + 32. Let j(y) = -9*y**2 + 56*y + 5. Calculate the remainder when 847 is divided by j(b).
14
Let y(w) = w**3 + 13*w**2 + 12*w - 5. Let n be y(-12). What is the remainder when 5 - (-215 - (-4 - n)) is divided by 8?
5
Let r = 392 - 393. Let u(c) = 5*c**2 + 11*c + 10. Calculate the remainder when 113 is divided by u(r).
1
Suppose -w = -4*d - 130, 183 = 3*w - 5*d - 165. Suppose 0 = 2*q + 3*y - 24, 4*q - 56 - 32 = 4*y. Calculate the remainder when w is divided by q.
16
Let g(r) = 6*r**3 + r**2 - 4*r - 3. Calculate the remainder when 2007 is divided by g(2).
39
Let n = -179 + 181. Suppose n*t = 36*z - 37*z + 154, 3*z + 91 = t. Calculate the remainder when t is divided by 12.
7
Suppose 9*j - 10 = 4*j + 4*d, -16 = -2*j + 4*d. Let l(p) = p + 2. What is the remainder when -4*j/24 + (-29)/(-3) is divided by l(4)?
4
Let l = 45 + -42. Suppose -2*h - 12 + 4 = -l*k, -22 = -2*k - 2*h. Let w(y) = -y**3 + 5*y**2 + 6*y + 17. Calculate the remainder when 48 is divided by w(k).
14
Let f(s) = -21*s - 22. Let o = 67 + -73. What is the remainder when f(o) is divided by 15?
14
Suppose 0 = -92*a + 72*a + 7560. Calculate the remainder when a is divided by 182.
14
Suppose 0 = -4*y - 12, -5*y = -29*i + 31*i - 125. Let t(x) = -6*x - 4. Let a be t(-5). Suppose -16*z = -i - a. Calculate the remainder when 53 is divided by z.
5
Let x = -331 + 374. Suppose 6*d = x*d - 666. Calculate the remainder when 34 is divided by d.
16
Let n be 0 + -1 + 4 + 109. Suppose 4*p + 3*p = -n. Calculate the remainder when 40 is divided by (-338)/p - 6/48.
19
Let i = -7509 + 7647. What is the remainder when 556 is divided by i?
4
Suppose 113*c + 1644 - 4554 = 108*c. What is the remainder when c is divided by 80?
22
Let n = 38970 - 38868. Calculate the remainder when 6929 is divided by n.
95
Let j = -86 + -8. Let k be (2 - 3) + 1 - j/2. Suppose -5*l + k + 13 = 0. What is the remainder when 47 is divided by l?
11
Suppose 6*c - 181 = -25. Let g(p) = -28 - 15 + c + 9*p. Calculate the remainder when g(19) is divided by 39.
37
Let t = -2223 + 5612. Calculate the remainder when t is divided by 30.
29
Let l = 1 - 3. Let r be ((-7)/(-21))/(-1*l/18). Let h(y) = -y**3 + 2*y**2 + 6*y + 3. Calculate the remainder when 42 is divided by h(r).
6
Calculate the remainder when 244 is divided by (2 - 0) + -2 - (-10 - 44).
28
Suppose -4*n + 105 = 2*z - 23, -256 = -4*z - 2*n. Let l = -60 + z. Suppose l*s - 4*c - 216 = -2*c, 3*c - 6 = 0. What is the remainder when s is divided by 8?
7
Suppose 1895 + 1310 = 123*m - 2084. What is the remainder when 3174 is divided by m?
35
Let t be (-7)/(252/(-258)) - (-2)/(-12). Suppose -11 = -t*f + 143. What is the remainder when (-1 + 2)/(1/41) is divided by f?
19
Suppose -16*w + 7*w - 54 = 0. Let k be 411/(-2) - ((-33)/w + -4). Let z = -45 - k. Calculate the remainder when z is divided by 41.
39
Let m be 5/5 + -11 + 14. What is the remainder when 61 is divided by m/30 + 9/(675/2390)?
29
Let p(f) = -2*f**2 + 9*f + 379. Calculate the remainder when 473 is divided by p(-11).
17
Suppose -352*i - 558 = -383*i. Suppose 4*b = -0*b + 100. Calculate the remainder when b is divided by i.
7
Let k = 24 - -74. Suppose 82 + k = 3*u. What is the remainder when u is divided by 49?
11
Let r be (-48)/8 - -361 - -2. Let a = r + -291. Suppose 4*x = 13 + 43. What is the remainder when a is divided by x?
10
Suppose 4 = -2*y + 96. Calculate the remainder when 65 is divided by ((-5)/30*9)/((-3)/y).
19
Suppose -7*f - 2*y = -174, 2*y - 44 = -32*f + 30*f. Suppose -145 = -2*i + b, -4*b - 21 + 1 = 0. What is the remainder when i is divided by f?
18
Let b = 1433 - 742. Calculate the remainder when b is divided by 180.
151
Suppose 283731 = 113*m - 983903. Calculate the remainder when m is divided by 60.
58
Let j = 63 - 61. Suppose 0 = j*q - 2*x + 86, -3*x + 225 = -4*q - q. Let l = -32 - q. Calculate the remainder when 21 is divided by l.
5
Let w = -3950 - -3963. Calculate the remainder when 1102 is divided by w.
10
Suppose -6*j - 5*s = -4*j - 100, 4*s - 136 = -3*j. Let z = 3 - -6. Let y(l) = l**2 - 8*l + 5. What is the remainder when j is divided by y(z)?
12
Let c = 12839 + -12489. Calculate the remainder when c is divided by 59.
55
Suppose 106*v - 6732 + 3438 = 25962. Calculate the remainder when v is divided by 273.
3
Suppose 21 - 1 = -5*m, -4*y + 160 = -2*m. Suppose 6 - y = -c. Calculate the remainder when c is divided by 20.
12
Suppose 1490 = 5*z - 5*n, 13*n - 18*n - 896 = -3*z. Suppose 0 = 4*j - z + 225. What is the remainder when 157 is divided by j?
13
Let s = 21 - 12. Suppose 47*z - 18*z = 986. Calculate the remainder when z is divided by s.
7
Let o(n) = -n**3 - 3*n**2 + 19*n + 8. Let c be o(-6). Suppose -2*m - 20 = -2*l + 6, -c = m. Calculate the remainder when 95 is divided by l.
7
Suppose 6*g - 410 - 256 = 0. Suppose -5*u = -7 - 13. Suppose 2*a + 56 = u*a. Calculate the remainder when g is divided by a.
27
Suppose -168 = -2*k + 4*w, -5*k + 0*k = -5*w - 405. Calculate the remainder when k is divided by 13.
0
Let a = -80 + 88. Suppose -a*h + 62 = -6*h. What is the remainder when h is divided by 4?
3
Let f = -3 - -17. Let a be (2 + -1)/((-23)/46) - -10. Calculate the remainder when 19 is divided by 60/f + a/(-28).
3
Suppose 0 = 4*u - 4*n - 232, 4*u - 3*n - 26 = 200. Calculate the remainder when 416 is divided by u.
0
Let f = 84 + -79. Suppose -432 = -f*a - 27. Suppose 5*u - u = 84. Calculate the remainder when a is divided by u.
18
Let q(l) = 6*l**2 + 19*l + 87. Let r be q(-7). Let p = r + -233. What is the remainder when 35 is divided by p?
5
Suppose 3*j = 2*c + 74, -c - 15 + 69 = 2*j. Calculate the remainder when 1583 is divided by j.
23
Let w = -76 + 88. Let l(y) = y**2 - 2*y - 8. Let h be l(4). Suppose -3*b + 101 + 37 = h. What is the remainder when b is divided by w?
10
Let m(d) = -d**2 + 6*d + 8. Let f be m(5). Suppose -f*l + 14*l - 211 = 0. What is the remainder when l is divided by 36?
31
Let i(x) = x**2 + 33*x + 95. Let j be i(-30). Let d(a) = 6*a - 16. What is the remainder when 179 is divided by d(j)?
11
Let o(w) = -86*w**3 - 2*w**2 + 4*w + 7. What is the remainder when o(-2) is divided by 36?
31
Let s(u) be the third derivative of 41*u**6/120 - u**5/30 + 11*u**4/24 - 5*u**3/3 - 56*u**2. Calculate the remainder when 115 is divided by s(1).
35
Suppose -j + 6955 = 3*v, -176*j + 175*j = v - 2315. Calculate the remainder when v is divided by 179.
172
Let w be 1/(1 - 12/10). Calculate the remainder when 44 is divided by (9/5)/((-1)/w).
8
Let h(c) = -11*c + 47. Let z be h(-10). Suppose z - 47 = 5*b. Calculate the remainder when 65 is divided by b.
21
Suppose -1206 = -44*f + 3062. Suppose 2*a = r + 105, -2*r = r + 15. What is the remainder when f is divided by a?
47
Suppose -90 = -19*p + 442. Suppose -p*o - 145 = -33*o. What is the remainder when o is divided by 11?
7
Suppose 70 = 4*l + 66. Calculate the remainder when (226*1)/l*5/10 is divided by 23.
21
Suppose 4*r = 5*n + 2561, -3*r + 1380 = -2*n - 539. Calculate the remainder when r is divided by 66.
45
Suppose -107 = -3*v + 301. Let r = v + -120. Calculate the remainder when 60 is divided by r.
12
Suppose -h - 5*i = -16, -i = -2*h - 0*i - 1. Calculate the remainder when (-12)/(-7) + 74/259 is divided by h.
0
Suppose 3*x - 155 - 13 = 0. Let d = x - 31. Let i(c) = c**3 + 30*c**2 - 34*c - 86. What is the remainder when d is divided by i(-31)?
4
Let q = -1333 - -1362. What is the remainder when 82 is divided by q?
24
Let s be 117/9 - 1/(-1). Calculate the remainder when 172 is divided by (0 - (s - 9))*(-6 - -1).
22
Let g(q) = 175*q - 1004. What is the remainder when g(8) is divided by 21?
18
Let v = 2913 + -2653. What is the remainder when v is divided by 88?
84
Suppose -5*f = -2*f + 3*v - 429, -551 = -4*f + 3*v. Let c = f + -123. Calculate the remainder when 66 is divided by c.
15
Suppose 0 = -22