15
Suppose 26 = -5*w + 236. Let o = -4 + 4. Suppose o*h + 2*h = w. Calculate the remainder when h is divided by 12.
9
Let m be 72/7 - (-4)/(-14). Suppose j = 30 + m. What is the remainder when j is divided by (0 - 14/8)*-8?
12
Suppose -7*j - 4*m = -3*j - 260, 0 = -5*j - 2*m + 325. Calculate the remainder when j is divided by (136/10)/(-7 + (-37)/(-5)).
31
Calculate the remainder when 23 is divided by (28/12)/(1/6).
9
Let m = -7 - -20. Calculate the remainder when m is divided by 8.
5
Let a = 113 - 103. What is the remainder when 46 is divided by a?
6
Suppose -16*m + 20*m - 96 = 0. Calculate the remainder when 143 is divided by m.
23
Suppose 3*d = -2*d - 250. Let y = -35 - d. Let n = y + -11. Calculate the remainder when 10 is divided by n.
2
Let u = -7 + 11. Suppose -g + 0*g = 0. Suppose g = -3*j + 5*j - 10. What is the remainder when j is divided by u?
1
Suppose -n + 0*b = b - 4, n = -3*b - 6. Let z = n - 6. What is the remainder when 4 is divided by z?
1
Let u(m) = m + 17. Let r be u(-13). What is the remainder when (r/6)/(2/87) is divided by 10?
9
Let x be (-1)/5 + 186/30. Suppose -648 = -x*q + 78. Calculate the remainder when q is divided by 31.
28
Suppose 6 = -5*q + 3*d + 154, 4*q - 2*d = 118. Suppose 2*w = -19 - q. Let x = w - -50. What is the remainder when x is divided by 9?
8
Suppose 3*q + 4*n - 154 = 0, -q = 4*q + n - 285. Suppose -4 = s - 24. What is the remainder when q is divided by s?
18
Suppose -z = 2*t + 4, 5*z - z - 4*t - 32 = 0. Suppose 3*p - 45 = -3*w + 8*p, -3*w = z*p - 72. What is the remainder when w is divided by 7?
6
Suppose -4*g - 16 = -6*g. Suppose -k = -3*k + g. Suppose n - 4 = 0, 0 = -l - 3*n + 4*n + k. Calculate the remainder when 14 is divided by l.
6
Let i = 137 - -65. What is the remainder when 71 is divided by 1/(-4 - i/(-50))?
21
Let o be 657/(-15) - 1/5. Let z = -24 - o. What is the remainder when 38 is divided by z?
18
Let z = -11 + 6. Let b = z + 7. Suppose -3*y = b*y - 85. Calculate the remainder when y is divided by 9.
8
Let k be 3 - ((-2)/(-1) - 1). Let m(c) = c**2 - k*c - 2 - 9*c + 3*c + 5. Calculate the remainder when m(10) is divided by 6.
5
What is the remainder when 3 + (-26)/8 - (-1885)/20 is divided by 16?
14
Let h be (0 - -1)*2 - 1. Suppose -h = -s - 2. Let j = 2 + s. Calculate the remainder when 2 is divided by j.
0
Suppose -5*g + 2*g + 24 = 0. Calculate the remainder when 21 is divided by g.
5
Suppose 4*r = 6 - 2. Let g be 2 + (r - (2 + -2)). Suppose -4*t + 30 = 2*f, g*t + 3*f = -2*t + 38. Calculate the remainder when t is divided by 4.
3
What is the remainder when 41 is divided by (-21)/((-2)/(-5) - (-76)/(-40))?
13
Let a be (-6)/9 - 28/(-6). Suppose a*q - 7*r + 2*r - 100 = 0, -3*q + 80 = -5*r. What is the remainder when 77 is divided by q?
17
Let x = -42 + 80. What is the remainder when x is divided by (-4*4 + 3)/(-1)?
12
Suppose -5*p = 8 - 28. Suppose -m + 6 = p. Let u = m - -13. What is the remainder when 43 is divided by u?
13
Suppose 5*d - 100 = -4*b, -32 = -2*b - 0*d + 2*d. What is the remainder when 56 is divided by b?
16
Let m be 0 + 1 - (-1 + -3). Let t = m + 1. Suppose 4*j + 12 = 0, 3*w + 2*j - 4*j - 57 = 0. Calculate the remainder when w is divided by t.
5
Let n = 8 - -30. What is the remainder when 74 is divided by n?
36
Let l = -48 - -99. What is the remainder when l is divided by 11?
7
Let c(o) = o + 12. Let t be c(-8). Suppose 3*p + 10 = t*p. Calculate the remainder when 19 is divided by p.
9
Suppose -c + 0*c = 2*t - 25, -5*c - t = -134. Let r = 58 - c. Suppose 2*m = 4*w + m - 43, 0 = 2*m - 2. What is the remainder when r is divided by w?
9
Let w = -67 + 79. Calculate the remainder when 59 is divided by w.
11
Let i = 558 + -544. Let p(k) be the first derivative of -7*k**2/2 + 5*k + 1. What is the remainder when p(-5) is divided by i?
12
Suppose -131 = -9*i + 4*i - 4*r, -2*i - r = -50. Let n = i - 16. Suppose -3*w + n = -2*w. What is the remainder when w is divided by 2?
1
Suppose m - 6 + 1 = 0. Calculate the remainder when m is divided by 1.
0
What is the remainder when 12 is divided by (-5)/15 + (-48)/(-9)?
2
Suppose 3*g + 8 = 56. Suppose -5*p = -4*j - 45, -11 + 2 = -p - 3*j. What is the remainder when g is divided by p?
7
Suppose 2*q - 60 = -4*q. What is the remainder when 28 is divided by q?
8
Let l(o) = 4*o**2 - 11 + 0*o**2 - 3*o**2 - 5*o. Calculate the remainder when 24 is divided by l(8).
11
Suppose -4*a + 117 = 5*f, 2*a - f - 51 = -6*f. Let w(q) = -q**2 - 11*q - 1. Let r = -25 + 16. What is the remainder when a is divided by w(r)?
16
Let m = 9 - -3. Calculate the remainder when 47 is divided by m.
11
Suppose -3*w - 3*y + 42 = 0, -23 = -w - 6*y + 2*y. Let r = 5 + w. Calculate the remainder when 46 is divided by r.
14
Suppose 0 = -g - 5*j + 24, 3*j - 6*j + 28 = g. Suppose 3*y = 2*s - 8, -2*s + 5 = 5*y - 3. Let v = g + s. Calculate the remainder when v is divided by 20.
18
Suppose 4*l + 156 = 5*d + 24, 3*d - 2*l - 80 = 0. Calculate the remainder when d is divided by 15.
13
Let a(b) = b + 31. Let x be (-2)/4 - 2/(-4). What is the remainder when a(x) is divided by 8?
7
Let f = 4 - -31. What is the remainder when f is divided by 13?
9
Suppose -14*i - 139 = -461. What is the remainder when i is divided by 9?
5
Let t(w) = w**3 - 10*w**2 + 11*w - 1. Calculate the remainder when 61 is divided by t(9).
10
Let x(o) = 2 - o**2 - 2*o + 5*o + 2*o**2. Let a be x(-3). What is the remainder when -28*3/(a - 5) is divided by 10?
8
Let d be (-1 + 1)/1 + 71. Suppose m = -i + 29, -5*i = -0*m - 4*m + d. Calculate the remainder when 46 is divided by m.
22
What is the remainder when (15 + -14)*(1 + 3) is divided by 2?
0
Let h(c) = 4*c + 29. Let v = 46 - 21. Calculate the remainder when v is divided by h(-4).
12
Let a = 1 - 5. Let s = 1 + a. What is the remainder when 3*(-3 - 23/s) is divided by 4?
2
Let l(b) = 3*b**3 - 1 - 2*b**3 + 8*b**2 + 4*b - 7. Let z be l(-7). Let c = z - -1. Calculate the remainder when c is divided by 8.
6
Suppose -2*s + 5*t + 93 = -0*s, 4*s - 156 = 4*t. What is the remainder when 167 is divided by s?
31
Let g(h) = h**3 - 12*h**2 + 3*h + 3. Calculate the remainder when 116 is divided by g(12).
38
Let c = 23 + 1. Suppose 140 = -15*f + 17*f. Calculate the remainder when f is divided by c.
22
Let v(s) = s**2 + 2*s - 5. What is the remainder when v(4) is divided by 10?
9
Suppose -4*f + 164 = 4*k, 0*k - 3*f + 79 = 2*k. What is the remainder when k is divided by 15?
14
Let i = 28 + -21. Let j(y) = -y**3 - 5*y**2 - 2*y - 6. Let r be j(-5). Let v = r + 0. Calculate the remainder when i is divided by v.
3
Suppose -4*b + 59 = -13. Suppose 0*m + 4*m - 245 = -5*w, w + 4*m - 33 = 0. What is the remainder when w is divided by b?
17
Let v(t) = 12*t. Let k be v(1). Suppose 2*o - 2*y - k = -0*y, -5*o + 51 = 2*y. What is the remainder when 24 is divided by o?
6
Let j(m) = m**2 - 9*m + 3. Let t be j(9). Suppose t*l - 7 = 2. Calculate the remainder when 8 is divided by l.
2
Suppose -2*y = -0*y. Suppose y*s - 36 = -2*s. Let i(p) = 7*p - 1. What is the remainder when i(5) is divided by s?
16
Let k(q) = -q**3 + 3*q**2 + 4*q - 3. Let t(p) = p**2 - 3*p - 5. Calculate the remainder when k(3) is divided by t(5).
4
Suppose 2*o - 39 - 43 = 0. Let v be (-4 - -1)*4/(-6). Suppose v*q - 42 = -q. Calculate the remainder when o is divided by q.
13
Suppose -54 = -4*h + 86. Suppose -h = -2*w + 3. Calculate the remainder when w is divided by 7.
5
Let u(l) = l**3 - 6*l**2 + 4*l - 19. Calculate the remainder when u(7) is divided by 17.
7
Let o be (-4)/(24/9)*-6. What is the remainder when o - (2 + -2 + 2) is divided by 4?
3
Let u = -4 - -8. Let m = 9 - u. Suppose -n + 11 = -3*p, 0*n - 3*n = 3*p - 45. Calculate the remainder when n is divided by m.
4
Suppose -b + 2*g = -113, 4*b + g + 4*g = 452. Calculate the remainder when b is divided by 19.
18
Suppose 0 = -3*v - 5*j + 73, -15 = -v - 2*j - 2*j. Suppose -4*u + 0*o + v = 3*o, -o = 2*u - 15. Calculate the remainder when u is divided by 2.
1
Suppose -2*v = -2*i + 24, 4*i - 2*v = 6*i - 20. Calculate the remainder when 43 is divided by i.
10
Suppose 3*u = 2*o + 202, 3*o + 54 = 2*u - 79. Calculate the remainder when u is divided by 15.
8
Let q(t) = t + 2. Let s be (2 - 3)/(-1) + 1. Suppose -3*r + 14 = -u, 5*r + 0*u - 22 = s*u. Calculate the remainder when q(r) is 