culate the remainder when (-774)/(-10) + -1 - 6/(-10) is divided by 13.
12
Suppose 5*o = 2*z + 129, -3*z - 5*o - 231 = -0*z. Let w = 102 + z. What is the remainder when w is divided by 16?
14
What is the remainder when 155/(-2)*((-19)/(-5) - 5) is divided by 24?
21
Let c(o) = o**2 + 20*o + 30. What is the remainder when c(-24) is divided by 39?
9
Suppose -2*r + 9 = -59. What is the remainder when r is divided by 18?
16
Let z(y) = 5. Let t(c) = -c - 14. Let o(x) = -x - 14. Let f(n) = 6*o(n) - 7*t(n). Let w(i) = 3*f(i) - 8*z(i). What is the remainder when 41 is divided by w(4)?
13
Let t(q) = 17*q**3 + q**2. Let u = 2 + 2. Suppose 4*c = -0 + u. Calculate the remainder when 34 is divided by t(c).
16
Suppose 28 = -3*n + 5*n. Let i(m) = -2*m - 3. Let b be i(-4). Suppose r = 2*k - 5*k + n, -3*k - b*r + 22 = 0. What is the remainder when 10 is divided by k?
2
Let h = -78 + 79. Calculate the remainder when 4 is divided by h.
0
Let q(k) = -k**3 + 4*k**2 + 5*k + 5. Let v = 0 - -2. Suppose -v*c - 2*c + 8 = 0. What is the remainder when q(5) is divided by c?
1
Let n be 1*(0 + -4)*-3. Suppose r + 0*r = n. Calculate the remainder when r is divided by 7.
5
Suppose 0 = b + 1 - 4. Suppose -50 = -5*h + 2*i + 3*i, 0 = -b*h + 5*i + 38. Suppose -19 = l - 23. What is the remainder when h is divided by l?
2
What is the remainder when 25 - ((-10)/5 + 2) is divided by 9?
7
Let y(f) = 2*f**3 - 3*f - 7 + 6 + 1. Calculate the remainder when y(3) is divided by 12.
9
Calculate the remainder when 48 is divided by 1397/55 + 1/((-10)/4).
23
Suppose -3*j = -5*c + 51 + 154, -3*j - 41 = -c. Suppose -x + 5*d + 41 = 0, -2*x + 2*d = -7*x + 97. Calculate the remainder when c is divided by x.
20
Suppose -2*u - 1 = -3*o - 11, -2*o = -4*u + 20. Suppose 0 = x - o - 3. Suppose 6*k - x*k - 15 = 0. Calculate the remainder when 13 is divided by k.
3
Let j = -12 - -22. Let i = -15 + j. Let n = i + 6. Calculate the remainder when n is divided by 1.
0
Let i(c) = -c**3 + 7*c**2 - 4*c + 2. Let s = 23 + -18. Suppose -5*v = 5*q - 75, 2*v - 2*q - 4 - 10 = 0. Calculate the remainder when i(s) is divided by v.
10
Suppose 14 = 2*v - 0*v + 5*b, -2*b = 3*v - 21. What is the remainder when v is divided by 2?
1
Suppose 0 = 2*h - 8 - 2. What is the remainder when 42 is divided by h?
2
Suppose 3 = -5*j + 8, 44 = 2*h - 2*j. What is the remainder when h is divided by 9?
5
Suppose -16 = -0*y - 4*y, -3*z - 2*y = -98. What is the remainder when z is divided by 17?
13
Calculate the remainder when 9 is divided by 150/22 + (-20)/(-110).
2
Let d = -3 + 7. Suppose a - 3*p - 57 = -2*a, -d*p + 29 = a. What is the remainder when a is divided by 11?
10
Suppose 3*i = 2*i + 2. Suppose -4*f = -2*m + 40, f - 53 = i*m - 5*m. Suppose -a + 105 = 2*a. What is the remainder when a is divided by m?
17
Let o(v) = -v**3 + v**2 + 4. Let c be o(3). Let b = 86 + c. Calculate the remainder when 22 is divided by (2/(-3))/((-4)/b).
10
Suppose -h + 4*h = 0. Let b = h - 2. Calculate the remainder when (188/8)/(b/(-4)) is divided by 16.
15
Let k = -6 + 12. What is the remainder when 9 is divided by k?
3
Suppose 0 = -5*v - 3 - 7. What is the remainder when v*((2 - 3) + -22) is divided by 16?
14
Let n = 10 + -6. Suppose 3*l - 2 = n. What is the remainder when 7 is divided by l?
1
Let y(l) = -2*l**3 + l**2 - 4*l - 5. Let a = -1 + 5. What is the remainder when a is divided by y(-1)?
0
Let h = -32 - -57. Calculate the remainder when h is divided by 3.
1
Suppose -r - r + 3*t + 50 = 0, -46 = -2*r + 2*t. Suppose -2*i + 0*i - 2 = 4*f, -5*f + 5*i = 10. What is the remainder when (-3 - f*62) + -3 is divided by r?
18
Calculate the remainder when ((-32)/3)/((-2)/12) is divided by 6.
4
Let h(l) = 7*l**3 + 31*l**2 + 33*l - 1. Let q(x) = 4*x**3 + 16*x**2 + 17*x. Let m(i) = -3*h(i) + 5*q(i). What is the remainder when 79 is divided by m(-12)?
25
Suppose l = -3*l - 4*z + 124, 0 = -5*l + 5*z + 115. Let g = -3 + 8. Let b(q) = -q**2 + 8*q - 5. What is the remainder when l is divided by b(g)?
7
Suppose -5*v + x + 10 = -0*v, -5*x + 22 = -v. Suppose -v - 17 = -2*b. Calculate the remainder when 19 is divided by b.
9
Let o be (15/20)/(2/(-8)). Let c be (9/o - 0)*-1. Suppose 5 = -c*u + 2, 4*v - 125 = u. Calculate the remainder when v is divided by 11.
9
Let h = 22 + -21. What is the remainder when 51 is divided by h/4 - 206/(-8)?
25
Let s(d) = -2*d + 2. Let h(x) = -5*x**2 - x. Suppose 2*y + 0*y = -2. Let j be h(y). Calculate the remainder when 38 is divided by s(j).
8
Suppose 46 = 2*s - 122. Suppose t = 3*f - 47, t + 3*t - s = -4*f. What is the remainder when 66 is divided by f?
15
Suppose 3*q + 10 = 3*d + 97, -3*q - 4*d = -94. Calculate the remainder when 117 is divided by q.
27
Suppose 2*x = -3*w + 63, -4*w - 2*x = -63 - 21. What is the remainder when 83 is divided by w?
20
Let l = -32 + 69. Suppose -53 = -2*k - 3*q + 6*q, -l = -3*k - 4*q. Calculate the remainder when k is divided by 10.
9
Let r(u) = -u**3 + 10*u**2 - 6*u - 7. Let a be r(9). Suppose -a*f + 23*f - 54 = 0. What is the remainder when f is divided by 5?
3
Calculate the remainder when -24*((-8)/(-10) + 9/(-5)) is divided by 13.
11
Let v(x) = -24*x - 1. Let z be v(-5). Suppose 0 = d - 4*d + o + z, 0 = 3*d + 3*o - 99. Let m(a) = -5*a + 68. What is the remainder when d is divided by m(11)?
12
Let b be (-45)/(-2)*10/(-3). Let i = b - -190. Suppose -5*k + 3*g + g + 199 = 0, -3*k + i = 2*g. Calculate the remainder when k is divided by 20.
19
Suppose 29 = -4*v + 85. Suppose -w + v = -0. Calculate the remainder when 67 is divided by w.
11
Let v = 164 - 136. What is the remainder when v is divided by 10?
8
Calculate the remainder when 7/28 + (-270)/(-8) is divided by 10.
4
Let v = 33 - 11. Calculate the remainder when v is divided by 6.
4
Let q(i) = i - 5. Let v be q(7). Let n be (v + -1)/((-2)/(-6)). Suppose 0 = -6*o + o + d + 60, 3*d + 24 = n*o. What is the remainder when 37 is divided by o?
11
Let t be (5/(-2) - 0)*-2. Suppose -t*h + 2*h = -48. Suppose -97 = -3*a - 2*g, -a + 0*a - 2*g = -35. What is the remainder when a is divided by h?
15
Let n(g) = -g**2 + 8*g - 7. Let t be n(8). Let r = t - -53. What is the remainder when r is divided by 16?
14
Let z(t) = -t + 11. Let q(s) = s**2 - 7*s. Let g be q(7). Suppose 5*f = -15, g*f + 2*f + 51 = -5*d. Calculate the remainder when z(d) is divided by 11.
9
Suppose 0 = 6*b - 32 + 8. Suppose -2*d - b*d + 210 = 0. What is the remainder when d is divided by 12?
11
Suppose 0 = -5*j + 25, 0 = 2*l + 5*j - 196 - 129. Suppose 4*y + 4*d - 144 = -0*y, l = 5*y - 5*d. What is the remainder when y is divided by (-4)/14 - (-65)/7?
6
Let r be (3/6)/(4/208). Suppose j - 4 = -0. Suppose -3*l + r = -5*v - 21, j*l = v + 57. What is the remainder when 27 is divided by l?
13
Calculate the remainder when (-4)/18 - 1400/(-63) is divided by -1 - (3/(-2) - (-150)/(-12)).
9
Let z = -193 - -276. Let g = -9 + z. Calculate the remainder when g is divided by 297/12 - (-1)/4.
24
Let m(l) = -4*l**3 - 6*l**2 - 6*l. Calculate the remainder when 57 is divided by m(-2).
17
Suppose -11*o = -7*o - 40. What is the remainder when 28 is divided by o?
8
Suppose -4*x + 11 = -5. What is the remainder when 7 is divided by x?
3
Suppose q - 10 = 2*o, -4*q - 3*o = -0*o - 18. Let j(k) = k**3 - 4*k**2 - 7*k - 7. Calculate the remainder when 45 is divided by j(q).
22
Let q(r) = r**3 - 12*r**2 + 2*r - 21. Let d be q(12). Let s = 8 - 6. Calculate the remainder when 3 is divided by s + 3/d + -2.
0
Suppose 5*o = -8*a + 3*a + 155, o = -3*a + 31. Suppose 0*m = -m + 4. What is the remainder when o/3 + (-6)/(-9) is divided by m?
3
Let n(p) = -p - 12. Let k be n(-6). Let q be ((-10)/4)/(3/k). Suppose 91 + 29 = q*u. What is the remainder when u is divided by 13?
11
Suppose -4*w - 4*n + 32 = 0, 2*w - n = -5*n + 24. Suppose 1 = w*p - 3. Calculate the remainder when 43 is divided by (2 - (p - -1)) + 15.
13
Let y(z) = -z**2 + z + 1. Let n(s) = 3*s**2 - 11*s - 1. Let w(a) = -n(a) - 5*y(a). Let v be w(4). What is the remainder when (12/8)/(6/v) is divided by 5?
3
Let y be 2 - (1 + 20/2). Let q = y + 4. Let p(s) = -s + 7. What is the remainder when 23 is divided by p(q)?
11
Suppose i = 3 + 1. Suppose 0*h = i*h - 76. Calculate the remainder when 36 is divided by (h/3)/((-1)/(-3)).
17
Let f(a) = -3*a + 4. Let k be f(-5). Suppose k + 