hen 117 is divided by r.
15
Let b = 187 + -35. Let v = 164 - b. Calculate the remainder when (3 - 2) + 230/5 is divided by v.
11
What is the remainder when 173 is divided by (-25)/10 - (-210)/20?
5
Suppose 8830*z = 8832*z + 13*x - 99, 3*x - 3 = 0. What is the remainder when 0 + -10*(0 - 5) is divided by z?
7
Let o(y) = -21*y + 149. Let u be o(7). Let r(j) = 23*j**3 - 5*j**2 - j + 3. Calculate the remainder when r(u) is divided by 56.
53
Suppose 3*q + 136 = 4*q + 5*y, y = -3*q + 422. Let u = -249 + 267. Calculate the remainder when q is divided by u.
15
Let y(f) = -2*f**3 - 4*f**2 - 5*f - 5. Let s be y(-3). Suppose 26 + s = b. What is the remainder when b is divided by 19?
16
Suppose 0 = -2*z - 106 + 258. Let g = 3 - -31. Calculate the remainder when z is divided by g.
8
Let g be (-4)/(2730/684 - 4). Let w = g - 445. Calculate the remainder when 53 is divided by w.
9
Suppose -8*a + 398 + 166 = 140. What is the remainder when 578 is divided by a?
48
Let g = 41 - -29. Suppose -g*p + 74*p = 204. Let m(j) = j**2 - 2*j + 3. Calculate the remainder when p is divided by m(-3).
15
Suppose 5*o - 1 = -16, -d + 4*o - 67 = 0. Suppose -5*m + 10*a - 12*a = 405, m + 108 = 5*a. Let w = d - m. Calculate the remainder when 12 is divided by w.
0
Let x(y) = y**3 - 37*y**2 + 124*y - 1874. Let g(n) = 53*n**2 + 2*n + 1. Calculate the remainder when g(-1) is divided by x(35).
4
Suppose -762*s + 750*s = -1332. Calculate the remainder when 15317 is divided by s.
110
Suppose 0 = -5*x + 343 + 27. Suppose -72 = 68*u - x*u. Suppose -4*l - 3*o + 173 = 0, -138 = -3*l + 2*o - 21. Calculate the remainder when l is divided by u.
5
Let n(b) = 21*b**2 + 59*b + 61. Let x = 2 - 7. Let m(k) = -k + 4. Calculate the remainder when n(-1) is divided by m(x).
5
Suppose 5*k = -2*y + 33604, -18*k - 5*y = -15*k - 20170. Calculate the remainder when k is divided by 57.
51
Let c be 3 - (-1 - -3) - -23. Suppose -24*q + 4*x + 8 = -28*q, 8 = -2*x. Calculate the remainder when 848/c + q - (-1)/(-3) is divided by 8.
5
Suppose 495*t - 494*t + 5*o = 254, 12 = -2*o. Calculate the remainder when 1347 is divided by t.
211
Suppose 3343 = 19*i + 113. Calculate the remainder when i is divided by 46.
32
Let g(o) = -91. Let x(y) = y - 182. Let k(n) = 9*g(n) - 4*x(n). Suppose -5*q + 92 = -3*q. What is the remainder when q is divided by k(-29)?
21
Suppose -7 = -4*j + 9, -5*j - 640 = -2*f. Let n = f - 317. What is the remainder when 45 is divided by n?
6
Let h = -2469 - -6637. Calculate the remainder when h is divided by 16.
8
Let z(r) = 3*r + 98. Let v = 200 - 216. Calculate the remainder when z(v) is divided by 14.
8
Suppose -76 = -5*g + 449. Suppose -2*b = 2*j - 56, -3*j - 2*j = -2*b - g. What is the remainder when (-31)/(-2)*(5 - 3) is divided by j?
8
Let j be 6/4*(-48)/9. Let z(l) = l**2 + 3*l - 11. What is the remainder when 23/(345/75) - -52 is divided by z(j)?
28
Let n(h) = -39*h. Let q = 238 + -232. Calculate the remainder when n(-1) is divided by -28*((-60)/(-32) + -2)*q.
18
Suppose 0 = -19*h + 17*h - 3*r + 69, -5*h - r = -75. Let a = 37 - 24. Calculate the remainder when a is divided by h.
1
Suppose j - 3*i - 17 = 2*j, -9 = 3*j - 5*i. Let y(h) = -9 - 2*h - 2*h - 17. What is the remainder when 14 is divided by y(j)?
2
Suppose t = -802 + 2094 + 1452. What is the remainder when t is divided by 61?
60
Let a = -169 + 169. Suppose 4*m + a*m - 406 = -2*z, -3 = -m. Calculate the remainder when z is divided by 40.
37
Let q = -2653 - -7391. What is the remainder when q is divided by 10?
8
Suppose 0 = -75*w + 10996 + 4154. What is the remainder when w is divided by 73?
56
Let r(o) = 2*o**3 - 59*o**2 + 399*o - 47. What is the remainder when r(21) is divided by 211?
202
Suppose 2*n + 5*u = 23, -4*n + 0*n + 4*u = -4. Suppose -5*y + 29 = 3*c - 7, -c + 26 = n*y. Calculate the remainder when y is divided by -5 + (-2)/(-6)*21.
0
Suppose 253*y = 93*y - 222*y + 47750. What is the remainder when 626 is divided by y?
1
Suppose -3*k + 174 = 4*t, -t + 20 = -4*k - 33. Let o = 127 - 49. What is the remainder when o is divided by t?
33
Suppose 5*t = 49 - 39. Let m be (3 - (-4 + 7))/t. Suppose -2*j - x + 92 = m, 2*j - 3*x = 7*j - 232. Calculate the remainder when j is divided by 23.
21
Suppose 222 + 387 = 29*t. Suppose 0 = 2*c - 215 + 23. What is the remainder when c is divided by t?
12
Suppose 104*p + 222 = 106*p. Let j = -133 + 161. What is the remainder when p is divided by j?
27
Let g(m) = 11*m**2 - 14*m - 25. Let d be g(-2). Suppose -d*j = -41*j - 480. Suppose -76*t + 71*t = -j. What is the remainder when 30 is divided by t?
14
Suppose -10*y = -14*y - 4*y + 312. Calculate the remainder when 1315 is divided by y.
28
What is the remainder when (0 + -44)*(1 + (-125)/20) is divided by 20?
11
Suppose -m + 1851 = -3*h + 8790, 0 = 2*h + 3*m - 4648. Calculate the remainder when 4640 is divided by h.
10
Suppose 266*a - 264*a + 16 = 0, 0 = -2*d + 5*a + 480. Calculate the remainder when 453 is divided by d.
13
Let r be 1/(2/(-3))*1628/(-2). Suppose 0 = 19*x - r + 24. Suppose 6 = u - 7. What is the remainder when x is divided by u?
11
Suppose -5*z - 3*u = 120, 2*z + z + 5*u = -56. Let v(g) = -g + 1. Let n be v(2). Let j = n - z. What is the remainder when j is divided by 9?
8
Let u = -845 - -808. Suppose 9*c + 5*s = 4*c + 30, -3*s + 29 = 4*c. Calculate the remainder when u/333 - 236/(-18) is divided by c.
2
Let r be (19/3 - 5)*12. Calculate the remainder when ((-114)/(-10))/((-1)/(-5)) is divided by (r + 0)*(-25)/(-25).
9
Suppose 3*c = 548 + 121. Let m = -377 - -436. Calculate the remainder when c is divided by m.
46
Let f(a) = a**3 - 4*a**2 + 5*a - 1. Let t(m) = -2*m + 70. Suppose -17*o = -14*o + 36. What is the remainder when t(o) is divided by f(4)?
18
Let o = -18 + -15. Let p = -31 - o. Suppose 0 = -5*u - 2*w + 108, -3*u - p*u - 3*w = -112. What is the remainder when 34 is divided by u?
14
Let y = -2792 + 2834. Calculate the remainder when 1173 is divided by y.
39
Let y(t) = 37*t + 196. Let n be y(-6). Let x = n + 37. Calculate the remainder when 54 is divided by x.
10
Suppose -4218*o + 224 = 4*m - 4215*o, 2*m = -2*o + 108. What is the remainder when (-990)/(-4) + 3/(-2) is divided by m?
60
Let n(o) = 14*o + 70. Let w be n(-5). Suppose w = -8*v + 1647 - 151. Calculate the remainder when v is divided by 63.
61
Let m = -1122 - -1506. Calculate the remainder when m is divided by 11.
10
Let f be 24*(-3 + 2)*(-702)/36. Let w = f - 333. What is the remainder when w is divided by 41?
12
Calculate the remainder when 1274 is divided by (-31)/(527/153) - 27*-1.
14
What is the remainder when 4724 is divided by (56/(-6))/(356/(-267))?
6
What is the remainder when (-3)/(-6)*(-11172)/(-98) is divided by 56?
1
Let c = -103 - -108. Let n(h) = h**3 - 4*h**2 + 6*h - 4. Let z be n(3). Suppose -8*t + 66 = -z*t. Calculate the remainder when t is divided by c.
2
Let r(d) = 53*d**2 + 5*d + 4. Let i(a) = 225*a - 432. What is the remainder when r(-1) is divided by i(2)?
16
Let j = 318 - 196. Suppose -j + 878 = 9*c. What is the remainder when c is divided by 17?
16
Suppose -55 = 2*a + 3*a. Let w = 14 + a. Calculate the remainder when 159/3*(w + -2) is divided by 11.
9
Let r be 28/6 + ((-35)/21 - -2). Suppose -r*l + 4*l = -13. Suppose 2*q + 2*c = c + 98, 204 = 4*q - 2*c. What is the remainder when q is divided by l?
11
Let c = 255 + -168. Let s = -68 - -79. Suppose 2*g + 396 = s*g. What is the remainder when c is divided by g?
43
Let l = -176 + 250. Calculate the remainder when l is divided by (-256)/(-6) - (1855/(-530))/((-42)/8).
32
Let a(j) be the third derivative of j**5/30 - j**4/6 + 3*j**3/2 + 15*j**2. Calculate the remainder when a(3) is divided by (-3)/12 + (-41)/(-4).
5
Suppose 5*r - 170 = 120. Calculate the remainder when r is divided by (14/4)/(6370/18200).
8
What is the remainder when 43 is divided by (-1022)/(-77) + 8/((-352)/12)?
4
Let q(v) = -2*v**3 - 21*v**2 - 12*v. Let s = 66 - 61. Suppose -s*j = 12 + 38. What is the remainder when q(j) is divided by 14?
6
Let a = -11 - -31. Calculate the remainder when 325 is divided by a.
5
Let g = 141 - 99. Suppose -3*z + 9 = -g. Suppose 2*i = -5*w - 3 + 147, 0 = -4*i - 4*w + 312. What is the remainder when i is divided by z?
14
Let d(v) = 7*v - 4*v**2 - 6*v**2 + 16*v**3 - 17*v**3 - 5. Let z be d(-1