is divided by r?
1
Suppose -m = m + 2*k - 44, 0 = 3*m - k - 62. Calculate the remainder when 13 is divided by (m/6)/((-1)/(-2)).
6
Suppose 3*j - 31 = 23. Calculate the remainder when j is divided by 10.
8
Let f(h) = -h**2 - 6*h + 2. Let x be f(-6). Suppose 0 = x*d - 0*d - 2. Calculate the remainder when 1 is divided by d.
0
Suppose -6*u + 11*u = -135. Let g = u - -47. Suppose -2*w = q + w - g, -2*q - 5*w = -36. Calculate the remainder when 23 is divided by q.
7
Let h = -17 + 31. Suppose 2*v - 6*v = -20. Calculate the remainder when h is divided by v.
4
Let t be (1 + 3)*(-62)/8. Let l = 47 + t. Suppose 0 = -2*a + 86 - l. Calculate the remainder when a is divided by 12.
11
Let n be 6/15 - 286/(-10). Let g be 3/(-21) - (-323)/7. Let z = g - n. Calculate the remainder when z is divided by 6.
5
Suppose 3*q = -h + 59, q + 4*h - 17 = h. Calculate the remainder when q is divided by (0 - 1)/((-1)/11).
9
Let i be (3/(-2))/(6/(-8)). Suppose -4*a + 2 = -i. Suppose 2*g = -0*g + 6. What is the remainder when g is divided by a?
0
Let o(c) = -7*c - 27. Let h = -31 + 88. Calculate the remainder when h is divided by o(-6).
12
Let s = 9 - -7. Let a = 41 - s. What is the remainder when 49 is divided by a?
24
Let s(n) = -n**2 + 15*n - 15. What is the remainder when 55 is divided by s(11)?
26
Let m(v) = -v + 10. Suppose -5*i = 3*b - 27, -5*b + 2*i + 5 = -9. Let y be b/4 + (-10)/(-2). What is the remainder when 9 is divided by m(y)?
1
Suppose -39 + 5 = -4*q + 3*g, 3*g = -2*q + 8. What is the remainder when q is divided by 3?
1
Let r = 6 - 3. Let g(p) = -p. Suppose -1 = 3*w - 5*h, -w + 5*h + 14 = 1. What is the remainder when g(w) is divided by r?
1
Suppose 2*y - 5*y = -9. Suppose f + 4*f = 2*n - y, 2*n + f = -3. What is the remainder when 19 is divided by (2 + -1)*-5*n?
4
Suppose -5*f - 138 = -8*f. Let g(r) = r**3 - 3*r**2 - 6*r - 4. What is the remainder when f is divided by g(5)?
14
Suppose -348 = -7*t + 2*t - 2*z, 2*t - 137 = -3*z. Suppose 2*l = 7*l - t. Calculate the remainder when 41 is divided by l.
13
Let o(u) = -u + 4. Let f = 6 + -1. Calculate the remainder when o(-3) is divided by f.
2
Let k be 0/5 + (-39)/(-1). Suppose 0*p + 3*p = k. Let m = -69 + 107. Calculate the remainder when m is divided by p.
12
Let s be 1/((-4)/(-8) - 0). Suppose y = -2*k + 17, 3*y + 20 - 55 = -s*k. Calculate the remainder when 15 is divided by y.
6
Let l = -3 - -10. Let d = -3 + l. Calculate the remainder when d is divided by 2.
0
Suppose -8 - 22 = -6*u. Calculate the remainder when u is divided by (6/10)/(2/10).
2
Suppose 354 = 7*w - 283. Calculate the remainder when w is divided by 47.
44
Suppose -5*r + 291 = 3*c, r - 60 + 5 = c. Let u = -19 + r. What is the remainder when u is divided by 13?
12
Let n(d) = -2*d**3 - 5*d**2 - 11*d - 5. Let h(w) = -w**3 - 2*w**2 - 6*w - 3. Let q(j) = 5*h(j) - 3*n(j). Calculate the remainder when q(-3) is divided by 5.
4
Let f(y) = 1 + 0 - 2 - y**3 + y. Let m be f(-2). Suppose m*p - p + 3*z - 23 = 0, -5*z + 30 = 5*p. What is the remainder when p is divided by 3?
2
Suppose 6*l = -0*l + 318. What is the remainder when l is divided by (6/(-3))/1 - -16?
11
Let a = 471 - 307. What is the remainder when a is divided by 42?
38
Let i(s) = s + 2. Let q(x) = -x**3 + 2*x + 0*x**3 + x**2 + 9*x**2 - 11. What is the remainder when q(10) is divided by i(3)?
4
Let q(o) = 3*o**2 - 1. Let g be (-2)/((-5)/(20/(-8))). Calculate the remainder when 5 is divided by q(g).
1
Suppose 112 = -3*f + 7*f. Suppose 0 = -t - 2*t + 18. What is the remainder when f is divided by t?
4
Let f(l) = 3*l**2 + 3*l - 3. Let w(m) = m - 4. Calculate the remainder when f(2) is divided by w(12).
7
Suppose -5*y - 3*u + 3775 = 0, -2*u = -4*u. Let d = y + -360. What is the remainder when 2/(-6) - d/(-15) is divided by 14?
12
Suppose -4*o - 28 = -84. Suppose 2*u + 24 = 5*u. What is the remainder when o is divided by u?
6
What is the remainder when 49 is divided by 17 + 0*(-1)/3?
15
Let o = -42 + 100. Suppose -3*l + o = -f, 2*l - 50 = 4*f - 8. Calculate the remainder when l is divided by 5.
4
What is the remainder when (-168)/(-16) + 3/(-2) is divided by 0 + 2 - (-2 + -1)?
4
Suppose 0 = -6*m - 0*m + 60. Suppose m = t - 8. What is the remainder when 52 is divided by t?
16
Let l = 151 - 90. Suppose 0*i = -4*i + 64. What is the remainder when l is divided by i?
13
Suppose -5*d - 53 = -3*t, 4*d - 31 - 13 = -3*t. Calculate the remainder when 61 is divided by t.
13
Let u = 24 + -9. Let n(z) = z**3 + z**2 - 7*z + 5. What is the remainder when n(4) is divided by u?
12
Let c(u) = u**2 + 6*u - 5. Let a be c(-7). Suppose o = w + 51, o - a*w - 55 = 1. Suppose 102 = 14*i - 122. Calculate the remainder when o is divided by i.
14
Suppose -k = u - 24, k + 2*u - 17 = 10. Calculate the remainder when 81 is divided by k.
18
Let c = 0 + 2. Suppose 0 = -3*v - x + 65, -2*v + c*x = 2*v - 90. Let z = -39 - -51. What is the remainder when v is divided by z?
10
What is the remainder when 15 is divided by -1 - 1 - (6 + -10) - -2?
3
Let x = 107 + -56. Calculate the remainder when 203 is divided by x.
50
Let k(c) = 5*c - 4. Let l(x) = -x + 1. Let s(y) = k(y) + l(y). Suppose -3*b + 2 = -2*b. What is the remainder when s(b) is divided by 2?
1
Suppose 2*c - 2*s = 36, -3*c + 4*s = 21 - 76. Calculate the remainder when c is divided by -15*(-7)/(140/8).
5
Suppose -7*m = -m - 60. Calculate the remainder when 24 is divided by m.
4
Let v(h) = 2*h**2 + 8*h - 19. Calculate the remainder when v(-9) is divided by 12.
11
Suppose 2*h = 24 + 6. Calculate the remainder when 59 is divided by h.
14
Let c = 57 + 8. Let v = c + -28. Calculate the remainder when v is divided by 10.
7
Let c = -98 - -148. Calculate the remainder when c is divided by 13.
11
Suppose -2*b + 3*f + 373 = 3*b, -3*f = -b + 65. What is the remainder when b is divided by 21?
14
Suppose 3*x = -2*m + 297 + 132, -m = 2*x - 287. What is the remainder when x is divided by 25?
20
Let y = 4 + -1. Let h(u) = 4 + u**2 - y*u + u - 5 + 0*u. Calculate the remainder when 11 is divided by h(4).
4
Let j = 2 + -1. Suppose -3*o - 20 = 2*o, t - 2*o = 9. What is the remainder when t is divided by j?
0
Let c = 31 - 11. Calculate the remainder when c is divided by 11.
9
Let a = 247 + -173. What is the remainder when a is divided by 19?
17
Let a = 231 + -129. What is the remainder when a is divided by 27?
21
Let l(w) = w**2 - 7*w. Let q(x) = 2*x**2 - 15*x + 1. Let r(v) = -5*l(v) + 2*q(v). Suppose 2*m + 25 = 7*m. Calculate the remainder when 2 is divided by r(m).
0
Calculate the remainder when 13 is divided by (32/(-12))/4*-12.
5
Let h(f) = f**2 + 3*f - 2. Let x be h(-3). Calculate the remainder when 35 - ((-1 - 2)/3 - -4) is divided by (0 + -1 - x)*11.
10
Let t = 8 - 0. Suppose m + 9 = -2*m. Let z = 25 + m. Calculate the remainder when z is divided by t.
6
Let q(w) = w**3 + 2*w**2 + 2*w + 1. Let i be q(-1). Let m be i/(3 + 1 + -5). Let o = m - -12. What is the remainder when 21 is divided by o?
9
Calculate the remainder when (25*-3 - 3)/((-15)/10) is divided by 9.
7
Let d = -33 + 45. Calculate the remainder when 20 is divided by d.
8
Let r be (15/(-4))/(18/48). Let i = 28 + r. What is the remainder when i is divided by 10?
8
Let o be 4/22 - 128/(-22). Let l = 10 - o. What is the remainder when 5 is divided by l?
1
Let l = 19 - -4. Suppose -5*y = 0, -y + 0*y = 5*r - 20. Suppose 0 = 5*m + 4*d - l, -4*m + r = -2*d - 4. What is the remainder when 8 is divided by m?
2
Suppose 10 + 22 = 8*q. Let x be 0 - 0 - (1 - -1). What is the remainder when x/(-6)*42/2 is divided by q?
3
Let w be 1 - 0 - (-3 + 3). Let u = 5 - w. Suppose 18 = 5*v + 3. Calculate the remainder when u is divided by v.
1
Suppose -c = -4*c. Suppose -4*s = -5*t + 131, 4*t + c*t + 2*s = 110. Calculate the remainder when t is divided by 14.
13
Suppose -4*o - o = 0. Let t = -10 + o. Let k = t - -21. What is the remainder when 31 is divided by k?
9
Let g be (-4)/2 - (142 + -1). Let y = -81 - g. What is the remainder when y is divided by 16?
14
Suppose c - 47 = -6. Calculate the remainder when c is divided by 14.
13
Let c(d) = -d**2 + 9*d - 2. Let i be c(9). What is the remainder when 5 + (2/(-2) - i) is divided by 4?
2
Let b = -26 - -32. Calculate the remainder when 23 is divided by b.
5
Suppose -3*f + 37 + 2 = 0. Let r = 117 - 68. Calcul