
15
Let g = 11575 + -11558. What is the remainder when 553 is divided by g?
9
Suppose -147*y + 130*y + 2465 = 0. Suppose 3*g = 3*n + 5*g - 143, y = 3*n + 4*g. What is the remainder when 178 is divided by n?
37
Let x = -7049 + 7451. Calculate the remainder when x is divided by 119.
45
Let f(m) = 3*m**3 + 70*m**2 + 13*m + 15. Calculate the remainder when 408 is divided by f(-23).
163
Let z = -201 - -189. Calculate the remainder when 8/((-160)/(-15)) - 1167/z is divided by 5.
3
Suppose -1244 = -180*m + 196. Calculate the remainder when 139 is divided by m.
3
Let y(j) = 3*j + 1. Let b(g) = -2*g**2 + 23*g + 7. Let v be b(11). Suppose v*a + a - 931 = 0. What is the remainder when a is divided by y(4)?
10
Suppose 0 = k - g - 2, -3*g - 10 = -k - 4*g. What is the remainder when -25 + 11 + 7 - (-24 + 0) is divided by k?
5
Suppose -9*l = -4*g - 8*l + 236, -4*g - 4*l = -256. Calculate the remainder when 369 is divided by 4/(-3)*8/((-64)/g).
9
Let z = -483 - -528. Calculate the remainder when 176 is divided by z.
41
Suppose 2*h - 657 + 633 = 0. Let c(k) = 3*k**2 + 5*k + 5. Let r be (-1 + -5)*(-16)/(-24). What is the remainder when c(r) is divided by h?
9
Suppose 3*p + 0*i + 2*i - 139 = 0, 3*p - 144 = 3*i. Let g(m) = 13*m - 17*m + 8*m + p. What is the remainder when g(15) is divided by 10?
7
Let y = -496 - -589. Suppose 247*o - 245*o - 16 = 0. What is the remainder when y is divided by o?
5
Let g = 28 + -16. Let o(n) = 3*n**3 + 9*n**2 - 27*n - g + n + 6*n - 2*n**3. What is the remainder when o(-10) is divided by 10?
8
Let v = -8229 - -8580. What is the remainder when v is divided by 114?
9
Suppose 2*m = -2*g + 330, -808*m + 266 = -806*m - 2*g. Suppose 0 = 3*v - 6*v + 153. Calculate the remainder when m is divided by v.
47
Suppose 5*x = -3*r + 1, 4*r - 5*x - 11 = r. Let t(k) = -17*k - 7 - k**r - 7 + 0*k**2 - 5. What is the remainder when t(-15) is divided by 4?
3
Let j(f) = -57*f**3 - 2*f**2 - 2*f - 1. Suppose -5 = 2*v - 0 + 11, 3*g - v - 116 = 0. Calculate the remainder when j(-1) is divided by g.
20
Let c(g) = 3*g**2 - 2*g - 1. Suppose 41*n - 307 = 964. Suppose -n*q - 1525 = -92*q. What is the remainder when q is divided by c(-2)?
10
Suppose 4*p + 3*a - 382 = 5*a, p - 2*a = 88. Suppose -2*k - 3*k - 3*i = 457, 5*k + 4*i + 456 = 0. Let m = 112 + k. What is the remainder when p is divided by m?
18
Let d be -1*(-177)/(-9)*-3. Suppose -2*l = u - d, 2*l - 140 = -3*l - 4*u. Calculate the remainder when 92 is divided by l.
28
Suppose 0 = y + 5*x - 93, 4*y - 187 = -4*x + 137. Suppose 0 = 5*l + 10, -3*o + 4*l = -2*o - 47. Let t = 66 - o. What is the remainder when y is divided by t?
24
Let o(l) = -l**3 + 4*l**2 + 21*l - 49. Let t(x) = -2*x + 6. What is the remainder when t(-9) is divided by o(6)?
4
Let r(l) = -2*l**2 - 6*l + 2. Let u = 107 + -110. Let y be r(u). Suppose -y*b = 3*b - 25. What is the remainder when 48 is divided by b?
3
Suppose -16*x = -11*x + 445. Let w = x - -107. What is the remainder when 68 is divided by w?
14
Suppose -f = -4*g - 2, -3*g = 4*f - 3*f - 2. Suppose 2*z - f*p = 218, 2*z = 6*p - 8*p + 210. What is the remainder when z is divided by 14?
9
Suppose 4*p - 214 = -f, p = 10*f - 5*f + 64. What is the remainder when p is divided by (3 - 31)*(-1 + 1/2)?
12
Suppose 5*v - 600 = -2*z, -2348*z + 40 = -2344*z. What is the remainder when v is divided by 4/18 + 669/27?
16
Suppose -3*z = -3*r - 30, -z - 27 - 5 = 5*r. What is the remainder when 99 is divided by 14/(r - -14) + (2 - -19)?
7
Suppose 334*g - 157*g = 166*g + 352. Calculate the remainder when 3197 is divided by g.
29
Let z(y) = -y - 12. Let q be z(0). Let a be 4/(-12) - 4/q. Suppose 8*j - 10*j + 148 = a. Calculate the remainder when j is divided by 19.
17
Suppose 0 = 18*x + 65 + 259. Let o be 24/x*6*(-1)/2. Calculate the remainder when (27/o)/(9/180) is divided by 17.
16
Suppose 13*c + 20*c - 224367 = 0. Calculate the remainder when c is divided by 85.
84
Let b be (3*(-1)/2)/((-15)/2870). Suppose 2*p = 3*k - 200, 5*k - 3*p - b = 45. What is the remainder when k is divided by 19?
7
Let t be (-18)/54 + (0 - (-69)/(-9)). Let s(y) = -2*y**2 - 22*y - 20. Calculate the remainder when 78 is divided by s(t).
22
Suppose 0 = -85*u + 5589 + 617 + 3144. Calculate the remainder when 199 is divided by u.
89
Suppose 2*y = 5*y - 321. Let x be (-5)/((-2)/4 - 30/(-84)). Suppose 3*c + 3*j - x - 4 = 0, 5*c - 2*j - 100 = 0. What is the remainder when y is divided by c?
17
Let n = 223 - 219. Let g(b) = b + 50. Suppose 3*j - 19 = 44. Calculate the remainder when g(n) is divided by j.
12
Let n = -25 - -24. Let v(k) be the first derivative of -9*k**4 - k**3 - 2*k**2 - 2*k + 30. What is the remainder when v(n) is divided by 9?
8
Suppose 4*w - 333 = 1035. Let m(x) = 8*x**2 - 291*x - 479. Calculate the remainder when w is divided by m(38).
12
Suppose -r + 1112 = -5*r - 4*f, -3*r = -5*f + 866. What is the remainder when 86 is divided by (-940)/r*2/((-4)/(-3))?
1
Let m(j) = -j**3 + 5*j**2 + 28*j - 8. Let h = 80 - 19. Calculate the remainder when h is divided by m(8).
13
Let r(h) = -19*h + 4. Let l be r(-3). Let m = 268 + -232. Let n = l - m. Calculate the remainder when 48 is divided by n.
23
Suppose 3*p = 2*z + 1251, 147*z - 148*z - 2099 = -5*p. Calculate the remainder when p is divided by 55.
36
Let c(x) = 81*x - 2. Suppose -4*j + 3*r + 56 = 2*r, -5*r = -14*r. What is the remainder when c(1) is divided by j?
9
Let u = -506 - -542. Suppose -4*w = -w + 27. Let o = u + w. What is the remainder when 46 is divided by o?
19
Let j = 40 + -26. Calculate the remainder when 46/j + 6/(-21) is divided by (-20)/(-5)*7/28.
0
Let p = 1474 + -1135. Calculate the remainder when p is divided by 2/(-3) + (-412)/(-6).
67
Let m(i) be the first derivative of -24*i**2 + 5*i - 70. What is the remainder when m(-4) is divided by 22?
21
Let i = -587 + 597. Suppose i*g + 4*f = 5*g + 312, 0 = -g - 2*f + 60. What is the remainder when g is divided by 5?
4
Let x = -23 - -25. Suppose -x*n + 40 = 128. Calculate the remainder when 30 is divided by 75/30*n/(-10).
8
Let v = -4650 - -8052. What is the remainder when 7/35 - v/(-15) is divided by 12?
11
Suppose 8*r - 4*r = 0. Let f(u) = -u**3 - 2*u**2 - 2*u + 71. Let h = 111 - 91. Calculate the remainder when f(r) is divided by h.
11
Let v(b) = -41*b + 1281. Calculate the remainder when 858 is divided by v(26).
213
Let x(a) = 4*a**3 - 3*a**2 + 11*a + 2. What is the remainder when x(3) is divided by 50?
16
Suppose -23*s + 33071 = -6926. Calculate the remainder when s is divided by 23.
14
Let u(p) = 2*p**2 - 5*p - 5. Suppose 858 - 2255 = -25*k + 928. Calculate the remainder when k is divided by u(5).
13
Suppose 3*n + 99 = 6*n. Suppose -18*w = -30*w + 1488. Calculate the remainder when w is divided by n.
25
Let j(i) = -438*i**3 - 2*i**2 + 193*i + 382. Calculate the remainder when j(-2) is divided by 184.
180
Suppose 3*u - 550 = -2*c + 744, 2*u - 16 = 0. Calculate the remainder when c is divided by 294.
47
Let k(t) = -2048*t + 189. Calculate the remainder when k(-1) is divided by 14.
11
Suppose 2*y = 2*h - 1438, y - 1432 = 212*h - 214*h. Calculate the remainder when h is divided by 93.
66
Let r(z) = -1912*z + 1214. What is the remainder when r(-3) is divided by 6?
2
Let l be 18/(-48)*4*(2 + -12). Suppose 2*u - l = -5, 0 = -2*c + 5*u + 9. Calculate the remainder when 65 is divided by c.
14
What is the remainder when 2642/6 + -6*5/(-45) is divided by (-27)/(-2) + 1/((-10)/15)?
9
Suppose -1329 - 1812 = 9*l. Let a = l - -530. What is the remainder when a is divided by 37?
33
Let z(n) = -32*n**3 + n**2 - n - 1. Let g = -413 + 478. Calculate the remainder when g is divided by z(-1).
32
Let o = -4212 - -4230. What is the remainder when 118 is divided by o?
10
Let d(q) = 4*q**2 - 208*q + 418. Calculate the remainder when 570 is divided by d(50).
12
Suppose -4*s + 300 = 239*w - 234*w, 4*s = 4*w - 276. What is the remainder when 1660 is divided by w?
60
Let s be 220/24 - 1 - (-2)/(-12). Suppose 0*n - s*n = -72. Calculate the remainder when 41 is divided by n.
5
Suppose 0 = -5*r + 2*f + 5*f + 79, 0 = -2*f + 6. What is the remainder when 60/24*76/5 is divided by r?
18
Let o be (-8 + 8)*2/4. Suppose -9 + o = -u. What is the remainder when 49 is divided by (-30)/u*(-45)/6?
24
Let z = -92 + 143. Suppose z = 4*v - 17. Wha