.
23
Suppose -24*b - 5*b + 2407 = 0. What is the remainder when b is divided by 31?
21
What is the remainder when 117 is divided by (-4 + (-35)/(-21))*-6?
5
Suppose -3*p = -42 - 39. Let l = 150 + -140. What is the remainder when p is divided by l?
7
Let a = -479 - -981. Calculate the remainder when a is divided by 63.
61
Suppose -233 = -5*w - k, 5*w = w + 2*k + 192. What is the remainder when 186 is divided by w?
45
Let t(p) = -2*p**2 + 23*p + 22. Let o be t(12). Calculate the remainder when 107 is divided by 18*o/(-50)*15/(-2).
26
Let f = -28 - -39. Suppose -f + 76 = 5*g. Suppose 186 = 5*y - 3*d, 0 = -26*d + 30*d + 8. Calculate the remainder when y is divided by g.
10
Suppose 0 = -8*q - 11*q + 11267. Calculate the remainder when q is divided by 119.
117
Suppose -30*z = -34*z + 4*l + 500, -2*l = -5*z + 610. Calculate the remainder when 229 is divided by z.
109
Let v be (-2)/8*(-3380)/13. Let y = -36 + v. What is the remainder when 114 is divided by y?
27
Let a be 497/2 + 4/16*-2. Suppose -4*j + a = -4*n - 0*n, -2*n = -j + 67. Let t(f) = 9*f + 2. Calculate the remainder when j is divided by t(2).
17
Let n be (-74)/(-8) + 1/(-4). Let k be n/6 - (-6)/(-4). Let j(m) = -m**2 - 2*m + 56. What is the remainder when j(k) is divided by 15?
11
Let c be -3*1*6/(-9). Suppose -4*f = c*y - 4, -f + 3*f - 5*y - 26 = 0. Calculate the remainder when 43 is divided by 11/(f - 10/4).
21
Let q = -336 + 395. What is the remainder when 230 is divided by q?
53
Suppose -24*y - 21*y = -3240. Suppose -2*z + 3 = -71. Calculate the remainder when y is divided by z.
35
Let j(m) = 0 - 21*m + 8*m - 9*m - 3. What is the remainder when j(-2) is divided by 11?
8
Let s = -349 - -1159. Suppose -6*i = 3*i - s. What is the remainder when i is divided by 7?
6
Suppose 10*l - 138 = 32. What is the remainder when 66 is divided by l?
15
Let l = 327 + -265. What is the remainder when l is divided by 5?
2
Let f(o) = -9*o**2 + o - 1. Suppose -1 + 3 = 2*c. Let s be f(c). What is the remainder when 9 is divided by (-4)/(-6) - 30/s?
1
Suppose -2*k + 4*p + 98 = 0, 10*p - 61 = -k + 15*p. What is the remainder when k is divided by 9?
5
What is the remainder when 117/7 + (-10)/(-35) is divided by (48/(-96))/((-2)/36)?
8
Suppose 193 = -3*r + h, -2*h + 2 = -0. Let m = r - -79. What is the remainder when 71 is divided by m?
11
Suppose 3*m - 3 - 114 = 0. Let z = 6 - -4. What is the remainder when m is divided by z?
9
Let f(s) = -5*s + 7. Let l be f(-5). Let z = -18 + l. Calculate the remainder when 27 is divided by z.
13
What is the remainder when (16/9)/(-4) - (-3364)/36 is divided by 15?
3
Suppose -w + 58 - 12 = 0. Let d(s) = -s**2 - s + 107. What is the remainder when w is divided by d(9)?
12
Let u(g) = -11*g**3 + g**2 + g. Suppose 3*p - 10 = p + 3*q, -2*q - 9 = p. Calculate the remainder when 20 is divided by u(p).
9
Let m(k) = 3*k - 1. Let r be m(1). Suppose 5*o - r*o - 69 = 0. Calculate the remainder when o is divided by 5.
3
What is the remainder when 21*((-2)/(-5))/((-6)/(-50)) is divided by -12*(10/(-4) - -1)?
16
Let x be (-26)/(-8) - ((-36)/(-16) - 3). Suppose 4*y + 5*i - 42 = 10, x*i - 2 = -y. Calculate the remainder when y is divided by 7.
4
Suppose 5*y + 2*v + 3*v = 245, -231 = -4*y + 3*v. Calculate the remainder when 121 is divided by y.
13
Suppose 108 = 26*s - 23*s. What is the remainder when 176 is divided by s?
32
Suppose -2 - 6 = 4*r - 2*w, -12 = -3*w. Suppose 11*o - 19 - 322 = r. What is the remainder when o is divided by 10?
1
Let c be ((-2)/(-4))/(2/176). Let w = c - 17. What is the remainder when w is divided by (-1 - -4) + (-11 + 0)*-1?
13
Let a = 27 + -13. Suppose -6*b + 69 = 33. Calculate the remainder when a is divided by b.
2
Suppose -28 = -2*p + 22. Suppose -24 - p = -q. Let i = 37 + -20. What is the remainder when q is divided by i?
15
Calculate the remainder when (3 - -27)/10 + 66 is divided by 9.
6
Let c(h) = h + 32. Calculate the remainder when 54 is divided by c(-4).
26
Suppose 5*z = -x + 18, 4*z - 20 = -8. Suppose 100 = 4*d + x*k, -5*d - 7*k + 4*k + 128 = 0. What is the remainder when 83 is divided by d?
27
Suppose 9 + 19 = 4*w + 5*v, -w - 4 = 4*v. What is the remainder when 669 is divided by w?
9
Let g = 569 - 560. What is the remainder when 12 is divided by g?
3
Suppose -4*r - 2 = 2*s, -4*s - 5*r - 10 = s. Let d(z) = -13*z + 4. Let c = 1504 + -1489. Calculate the remainder when d(s) is divided by c.
13
Let s = -147 - -185. Calculate the remainder when 189 is divided by s.
37
Suppose w + 2*a - 18 = 0, 0 = -3*w + 13*a - 12*a + 89. What is the remainder when 30 is divided by w?
2
Let q(f) = -5 - 298*f**2 + 3*f**3 + 2*f + 6*f + 292*f**2. Calculate the remainder when q(3) is divided by 25.
21
Let d(r) = -r**3 - 25*r**2 + 2*r + 13. Let k(j) = j**2 - j - 1. Let p(a) = d(a) + 6*k(a). What is the remainder when p(-19) is divided by 21?
20
Suppose 5*l + 5*n + 845 = 10*l, 4*l - 2*n = 680. Calculate the remainder when l is divided by 12.
3
Let z = 284 + -200. Calculate the remainder when 333 is divided by z.
81
Let z = 87 - 26. Suppose 2*p + 13 = z. What is the remainder when 186/4 - (4 + 42/(-12)) is divided by p?
22
Let y be (-10 - -5)*1/1. Let d = y - -8. Let q = 36 + -26. Calculate the remainder when q is divided by d.
1
Suppose 6*s - 5*i = 3*s + 4, i + 36 = 5*s. Let u be 2/4 - (-12)/s. Suppose u*l - 29 - 7 = 0. What is the remainder when 51 is divided by l?
15
Let o = -5 + 2. What is the remainder when 39 is divided by o*((-21)/(-15))/((-9)/15)?
4
Suppose 12*m = 945 - 357. Calculate the remainder when 117 is divided by m.
19
What is the remainder when 98 is divided by 0 - (-4 - -2) - 77/(-1)?
19
Suppose -4*k - 24 = k + 2*q, 4*q + 18 = -5*k. What is the remainder when 1 + 0 - (-32)/1 is divided by k*(-40)/15 - 4?
9
Let d be -7*2*(-5)/10. Suppose 0 = -3*q + 38 + d. Calculate the remainder when 25 is divided by q.
10
Let x be 3/(9/1)*66. Suppose -g = g + 5*w - 13, 2*g - x = 4*w. Calculate the remainder when g is divided by 5.
4
Let h = 259 + -136. Calculate the remainder when h is divided by 43.
37
Suppose 232 + 317 = 3*j. What is the remainder when j is divided by 58?
9
Suppose 9*w = 4*w - f, 0 = -4*w + 4*f. Suppose 0 = -x - w*x + 15. Calculate the remainder when x is divided by 5.
0
Let v = -1812 + 1287. What is the remainder when 29 is divided by v/(-50) + (-1)/(-2)?
7
Suppose y - l = 2*l + 10, -3*y = -5*l - 22. Suppose -5*a - 2 + 12 = 0, 4*q - 4*a = 4. Suppose -9 = -2*k + q. What is the remainder when k is divided by y?
2
Let m(o) = -o**3 + 5*o**2 + 24*o + 4. What is the remainder when m(-5) is divided by 5?
4
Let l = 39 + -37. Suppose -6*y + 2*y - 5*d = 27, -5*d = -5*y. Let u = y - -7. What is the remainder when u is divided by l?
0
What is the remainder when 109 is divided by 10/((-12)/(-30) + 0)?
9
Let x = -262 - -277. What is the remainder when 238 is divided by x?
13
Suppose 4*a - v = 42, -5*a + 5*v - 3*v + 54 = 0. What is the remainder when (6 - (-92)/8)*24/15 is divided by a?
8
Suppose 2*u - 610 = -2*a, 2*a + 3*a = -u + 317. What is the remainder when u is divided by 34?
30
Suppose 2*d - 18 = -5*m, 0*d - 10 = -3*m - d. Suppose 3*p = -l - 0*l + 10, 0 = p - m*l - 8. Suppose -y = -p - 7. What is the remainder when 31 is divided by y?
9
Let k be 350/(-42)*3/(-1). Let l = k - 19. Calculate the remainder when l is divided by 10/(-10) - 3*-1.
0
Let y(z) = -z**3 + 13*z**2 + 4*z - 36. What is the remainder when 23 is divided by y(13)?
7
Let i = 426 - 397. Suppose a + 1 = -2*j, 5 = -0*j + 5*j + 4*a. What is the remainder when (j/6)/(1/(-114)) is divided by i?
28
Let h(d) = -d**3 + 7*d**2 + 3*d. Let v(x) = x**2 + 5*x + 4. Let z be v(-5). Suppose z*c - 12 = 44. Calculate the remainder when h(6) is divided by c.
12
Suppose 5*j - 4*j = -4*w + 193, -4*j = 2*w - 114. Suppose 0 = 8*p - 190 - 2. What is the remainder when w is divided by p?
23
What is the remainder when 351 is divided by 6/(-15*(-1)/20)?
7
Suppose 5*s - 11*s = -6. Suppose -2*o - s = -9. What is the remainder when 16 is divided by o?
0
Suppose 21*d - 2427 = -621. Let h(r) = -1. Let c(j) = 22*j + 4. Let k(q) = -c(q) - 4*h(q). What is the remainder when d is divided by k(-1)?
20
Let r = -874 + 2365. Calculate the remainder when 41 is divided by (-6)/8 - r/(-84).
7
Let b = -30 - -74. Let x be (4/(-5))/(1/(-5)). Sup