n 21 is divided by n.
10
Suppose -44*q + 36*q = -320. Calculate the remainder when 73 is divided by q.
33
Let g = 632 - 390. Calculate the remainder when g is divided by 92.
58
Suppose 4*q - 2*m = 98, -21 = -2*q - 3*m + 24. Suppose q*v = 23*v + 29. What is the remainder when 54 is divided by v?
25
Suppose -o + 4*j - 5 = 6, -5*j - 2 = -3*o. Let v be -4*o/(-12) + 2. Suppose -v*l - 12 + 47 = 0. Calculate the remainder when 18 is divided by l.
4
Let l be (-18 - 1) + -7 + 7. Let p = l - -12. Let q(a) = a**2 + 3*a + 10. What is the remainder when q(p) is divided by 8?
6
Suppose l = 5*n + 92, 2*l + 292 = 6*l - n. Calculate the remainder when l is divided by 50/(3 + 2 - 3).
22
Let l = 25 + 22. Suppose -22 = -h - 10. Calculate the remainder when l is divided by h.
11
Suppose -6*h + 306 = 30. Suppose 0 = -2*o + 5 + 19. Calculate the remainder when h is divided by o.
10
Let f(a) = -2*a**2 - 56*a - 288. Let u(j) = j**2 - j - 1. Suppose -2*b = -4*b + 8. What is the remainder when f(-20) is divided by u(b)?
10
Let r = 545 - 501. Calculate the remainder when 111 is divided by r.
23
Let m = -1 + 3. Suppose m*p = -8, 33 = z + 4*z - 2*p. Suppose -97 - 23 = -z*r. Calculate the remainder when 45 is divided by r.
21
Suppose -4*w = -3*a - 222, -3*a - 67 = -w - 8*a. Calculate the remainder when 163 is divided by w.
49
Suppose 5*o = 3*o + 24. Suppose 0 = -9*t + 6*t + 63. What is the remainder when t is divided by o?
9
Calculate the remainder when 88 is divided by 4/(-9) - ((-520)/36 - 13).
7
Let s = 82 + -84. Suppose 3*o = 43 - 4. What is the remainder when (50/3)/(1*s/(-6)) is divided by o?
11
Suppose -3*f = 2*f + 540. Let u be (-2)/5 + f/(-20). Calculate the remainder when 11 is divided by (u + -4)/(4/24).
5
Let s(c) = -3*c**3 + 3*c**2 - 5*c + 1. Let i be s(2). Let k = i - -124. Calculate the remainder when k is divided by 35.
33
Suppose 5*f - 66 = 9. Suppose -556 = -32*x + 692. What is the remainder when x is divided by f?
9
Let z(q) = -5*q - 39. Let d be z(-7). Suppose -3*s - 3*g + 63 = 0, 3*s - 27 = 2*s - 4*g. Calculate the remainder when s is divided by 2/(d*1/(-22)).
8
Let q = 85 + -50. What is the remainder when q is divided by 26?
9
Let q(w) = 2*w**3 - 2*w**2 + w - 6. Let f be 1/((-4)/(-14))*(-24)/(-28). Calculate the remainder when q(f) is divided by 9.
6
Let f(b) = -10*b - 5. Let z(g) = 39*g + 20. Let c(o) = 9*f(o) + 2*z(o). Let r = -14 + 25. Calculate the remainder when c(-3) is divided by r.
9
Let z(l) = -6*l + 38. Let h be z(0). Suppose -5*x + 47 = -h. Calculate the remainder when 48 is divided by x.
14
Suppose j + 2 = 1. Suppose -a + 7 = -22. What is the remainder when a is divided by j - -3 - (0 - 13)?
14
Let x(v) be the third derivative of 29*v**4/4 + v**3/6 + 35*v**2. Calculate the remainder when x(1) is divided by 59.
57
Let s(k) = -k**3 + 25*k**2 + 9*k - 193. What is the remainder when 285 is divided by s(25)?
29
Suppose -11*u + 36 = -9*u. Suppose 6*p - 7*p = -u. Calculate the remainder when 51 is divided by p.
15
Suppose -5*z + 7*g + 777 = 3*g, -2*z = -2*g - 312. Calculate the remainder when z is divided by 13.
10
Let m(u) = u**3 - 54*u**2 - 105*u - 317. What is the remainder when 297 is divided by m(56)?
72
Let n(k) = -k**3 - k**2 - 2*k + 101. Let a = 55 - 55. Calculate the remainder when n(a) is divided by 26.
23
Suppose 3*a - 139 - 23 = 0. Suppose -2*w - 5*v + 23 + 5 = 0, 4*v = 4*w. Calculate the remainder when a is divided by (56/8)/(2/w).
12
Let p = 2 + 5. Suppose -2*f - 55 = -l - 2*l, 5*f = -l + p. Calculate the remainder when (-4)/(0 - -1) - -36 is divided by l.
15
Suppose -552 = -l - 4*a, 3*l - a = -0*a + 1630. Calculate the remainder when l is divided by 14.
12
Suppose -4*p + 14 = 2. Suppose p*h = 4*h - 2. Suppose h*u = 5*u - 204. What is the remainder when u is divided by 23?
22
Let x = 89 - 74. What is the remainder when x is divided by 4 + 0/3 + -1?
0
Suppose 205 = -2*u + 40*u - 61. Suppose -10 = 2*s, -5*x + 0*s = -5*s - 50. What is the remainder when u is divided by x?
2
Let t(u) = 2*u - 1. Let x be t(9). Suppose x = -5*w - 393. Let y = -11 - w. What is the remainder when y is divided by 18?
17
Let d(p) = -3*p**3 - 52*p**2 - 33*p + 120. What is the remainder when d(-17) is divided by 36?
32
Let l(n) = -n + 14. Let q be l(10). Suppose -206 = -3*g + q*d, 4*g + 4*d - 95 - 161 = 0. Suppose 3*t + 34 = 5*t. Calculate the remainder when g is divided by t.
15
Let t be (-8)/(-4)*-1 - -30. Suppose -4*y = -0*l - 2*l + 28, 2*l = -y + t. Let x = l + -5. What is the remainder when 33 is divided by x?
6
Suppose -2 = 7*j - 6*j - 2*i, -5*i = j - 12. Calculate the remainder when 28 is divided by j.
0
Let k = 58 + -39. Suppose 0*z + 3*z = 4*l + 34, 4*l = -4*z + 8. Suppose -3*m + 36 = -5*n, -24 + z = -3*m - n. What is the remainder when k is divided by m?
5
Let r = 2 + -2. Suppose r = 7*q - 108 - 60. Calculate the remainder when 71 is divided by q.
23
Let d(s) = -2*s - 18. Let o be d(-9). Suppose o*y = y - 31. What is the remainder when y is divided by 16?
15
Let q(p) = -2*p**3 + 26*p**2 - 2*p - 136. What is the remainder when q(11) is divided by 161?
4
Suppose 3*x - 14 = 13. Let i(k) = -k**2 + 17*k - 18. Let c be i(16). What is the remainder when ((-10)/8)/(c/40) is divided by x?
7
Suppose -2*k - 4*a = -22 - 22, k + 5*a - 13 = 0. Suppose -3*u + k = u. Calculate the remainder when 13 is divided by u.
6
Let t(m) = 12*m**2 - 4*m + 2. Let c = 32 + -40. Let q = 14 - c. What is the remainder when t(2) is divided by q?
20
Suppose -19 = 4*w - 115. Let x(j) = -j**3 + 3*j**2 + 16*j - 26. What is the remainder when w is divided by x(5)?
0
Let g be -3 + -1 + 4 + 20. Let k = g + -18. Calculate the remainder when k - (9/3 - 24) is divided by 8.
7
Let f be 1/(-2) + (-23)/(-2) + -2. Let i = 24 - f. What is the remainder when 19 is divided by i?
4
Suppose -14 = -5*q + 1. Suppose q*f = 4*f - 4. What is the remainder when 4 is divided by f?
0
Let w be 7/1 + 11 + -9. Suppose -w*t + 3*u + 221 = -5*t, -3*u - 9 = 0. Calculate the remainder when t is divided by 7.
4
Let t(x) = -x**3 + 9*x**2 + x + 3. Let z be t(4). Suppose 0 = -5*f - 0*f - m + 380, f = 2*m + z. Let k = -34 + f. What is the remainder when k is divided by 11?
10
Let s = 77 + -75. Suppose -2*a + 72 = 2*a - s*t, 0 = 4*a + 2*t - 72. Calculate the remainder when 71 is divided by a.
17
Let a(f) = -4*f + 115. Calculate the remainder when 188 is divided by a(22).
26
Let s = 97 - 94. Suppose 5*r - 2*f - 90 = 0, -3*r + 0*f + s*f + 45 = 0. What is the remainder when 37 is divided by r?
17
Suppose -2*x = 3*x + 15, 5*x = -k - 41. Let a(q) = -q**3 - 25*q**2 + 24*q - 2. Calculate the remainder when a(k) is divided by 14.
8
Let u = -34 - -77. Calculate the remainder when u is divided by 1 + (-2)/(-6) + (-861)/(-63).
13
Suppose 6*z - z = -5. Suppose -179*v + 1550 = -24*v. Calculate the remainder when z + (-1 + 0 - -19) is divided by v.
7
Suppose -13*q + 12 = -118. Let f(p) = p**3 - 3*p**2 - 4*p + 5. Let t be f(6). What is the remainder when t/3 - 8/12 is divided by q?
9
Suppose 4*o - u - 24 = 0, 0*o + 2*u + 28 = 4*o. Let c = -133 + 145. What is the remainder when c is divided by o?
2
Let t(d) = -193*d + 4. Calculate the remainder when t(-4) is divided by 19.
16
Suppose -3*b + 201 = g + 30, -2*b = -5*g + 804. Calculate the remainder when g is divided by 33.
30
Let u be (-3)/4 - (-3465)/44. Suppose a = -a + u. Calculate the remainder when a is divided by 20.
19
Suppose 3*r - 138 - 261 = 0. Let h = r - 111. What is the remainder when 39 is divided by h?
17
Let w = -41 + 80. What is the remainder when 117 is divided by w?
0
Suppose 25*o = 21*o + 56. Suppose 16 = 2*z - o. Suppose q = 12 + 45. What is the remainder when q is divided by z?
12
Let j be -1 + 223 + -2 + -2. Suppose -7*k - 43 = -j. Suppose -4*w + 4*n + 351 = -153, 3*n + 501 = 4*w. What is the remainder when w is divided by k?
23
Suppose 207 = 2*m + 5*k, -5*k + 0*k = -5. Suppose -1 = -a + 6. Calculate the remainder when 12/32 - m/(-8) is divided by a.
6
Suppose 0 = 453*m - 452*m - 223. Calculate the remainder when m is divided by 57.
52
Let i(m) = -m**3 + 12*m**2 + m - 14. Let l be i(12). Let q be (-1)/l + 684/24. Suppose 2*g - 1 = q. What is the remainder when 56 is divided by g?
11
Calculate the remainder when 446 is divided by 2/(-1*2) + 43 + -26.
14
Suppose 0 = -