by i.
23
Suppose -5*c + 2*a + 197 = 0, 3*c - 58 = 4*a + 49. What is the remainder when c is divided by 14?
13
Calculate the remainder when (-147)/42*(-12)/1 is divided by 16.
10
Let t = -3 - -6. Suppose t*b = 125 - 5. Suppose -b = -2*z - 0*z. What is the remainder when z is divided by 11?
9
Suppose -5*x + 2*d = -17, 5*x + 2*d + 20 = 53. Let l(f) = x - 10 + 22 + f. What is the remainder when l(0) is divided by 6?
5
Suppose 651 = 3*z + 156. What is the remainder when z is divided by 24?
21
Calculate the remainder when 21 is divided by 1/(3/((-45)/(-3))).
1
What is the remainder when 36 is divided by 32/6*27/18?
4
Suppose 5*f + u = -3*u + 247, -4*f = -5*u - 173. Calculate the remainder when f is divided by 10.
7
Let u = 15 + -5. Let r(m) = -2*m**3 - m. Let v be r(-1). Suppose 0 = -v*g - 2 + 59. Calculate the remainder when g is divided by u.
9
Let s(g) = -g**3 + 4*g**2 - 4*g + 2. Let h be s(2). Calculate the remainder when 13 is divided by h*(-2)/4*-5.
3
Let x(a) = 2*a**2 + 3*a + 2. Let s be x(-2). Let u(i) = 8*i + 3. Let m be u(s). Let o = -17 + m. What is the remainder when 53 is divided by o?
17
Suppose 0 = 2*i - q - 9, -4*q + 24 = 2*i + 2*i. Let p = i + -4. Calculate the remainder when p is divided by 1.
0
Let x be (-6)/(-5) + (-2)/10. Let d(n) = 5*n. Calculate the remainder when d(x) is divided by 3.
2
Let g(v) = 3*v - 24. What is the remainder when 10 is divided by g(9)?
1
Let y(j) = -12*j + 2. Let o be (-4)/(-10)*(9 - -1). Suppose 0 = 4*p - 0 + 8, v + o*p = 33. What is the remainder when v is divided by y(-1)?
13
Let n be 0 + 2 - (1 + -3). Suppose 0*z - 33 = -n*w + 3*z, 24 = 5*w + 2*z. What is the remainder when w is divided by 4?
2
Let n = -83 + 91. Calculate the remainder when 103 is divided by n.
7
Let z(p) = 44*p**2 + 3*p - 2. What is the remainder when z(1) is divided by 12?
9
Suppose 0 = 4*b - z - 57, -46 - 44 = -5*b + 5*z. Let f(g) = 19*g - 2. What is the remainder when f(2) is divided by b?
10
Suppose -71 = 5*d + w, -5*w + 65 = -0*d - 5*d. Let p be 6*((-2)/6 + 1). Calculate the remainder when p/d + (-345)/(-7) is divided by 17.
15
Suppose 3*b - 64 = -4*o, -3*b = -2*b + 3*o - 13. What is the remainder when b is divided by 11?
6
Suppose 0 = -o - 0*n + 3*n, n = 2*o. Let k(r) = r**3 + r**2 + 22. Calculate the remainder when 42 is divided by k(o).
20
Suppose 33*n - 15*n = 1962. Calculate the remainder when n is divided by 57.
52
Suppose -5*t = 4*s - 2 - 3, 0 = -5*s - 3*t + 3. Calculate the remainder when 25/(s - 1)*-2 is divided by 17.
16
Suppose -9*q + 13*q = 84. Calculate the remainder when 61 is divided by q.
19
Suppose 3 = -4*y + 2*y + 3*j, 5*j = -3*y + 24. What is the remainder when y is divided by 1?
0
Let x be -3 + 3 + -5 - -2. Let z(n) = n**3 + 4*n**2. Calculate the remainder when 16 is divided by z(x).
7
Calculate the remainder when (-54 + 4/(-1))*-1 is divided by (-107)/(-7) + 4/(-14).
13
Suppose -3*x + 0 = -15. Suppose 3*k - 40 = x*k. Let n = -4 - k. Calculate the remainder when 31 is divided by n.
15
Let r be 15/(-2)*(-78)/5. Suppose 4*g - 259 = r. Calculate the remainder when g is divided by 24.
22
Calculate the remainder when (-34)/(-5) - (-5)/25 is divided by (-3)/9 - 21/(-9).
1
Suppose 5*n - 5 - 9 = -2*j, 2*n = -j + 6. Calculate the remainder when 5 is divided by j.
1
Let a be (-4 - 0) + (9 - 5). Suppose 4*p - p - 75 = a. Calculate the remainder when p is divided by 14.
11
Let x = -11 - -5. Calculate the remainder when 1 is divided by 3*(2 + 10/x).
0
Let s(x) = 2*x**3 - 2*x + 1. Calculate the remainder when s(3) is divided by 25.
24
Let u(b) = b**3 - 4*b**2 + 3*b + 3. Let f be u(3). Suppose 0 = 5*o + 5*k - 30, -o - f*o + k = -14. Calculate the remainder when 37 is divided by 12 - (-2)/o*2.
11
Let k(j) = -j + 29. Calculate the remainder when 57 is divided by k(19).
7
Suppose 1 = -n, 0 = v + 4*n + n - 110. Suppose 0 = -m + v - 2. What is the remainder when m is divided by 29?
26
Suppose 4*x - 3*x = 2*s + 2, 3*s - 5*x = -3. Let i(d) = 16*d**2 + d. What is the remainder when 29 is divided by i(s)?
14
Let g(m) = 2*m - 17. Let u be g(7). What is the remainder when 3 is divided by (6/u - -2) + 1?
0
Let a(d) = 21*d + 2. Let f be a(2). Let y = -24 + f. Let j = -10 + 21. What is the remainder when y is divided by j?
9
Suppose -3*v - v = -12. Suppose -2 = 5*d - r - 5, 0 = -v*d + 2*r - 1. What is the remainder when 2 is divided by d?
0
Suppose 3*v - p + 2*p = -1, -2*v + 4*p - 10 = 0. Let g = -9 + 10. Calculate the remainder when (0 - -1) + 2 + v is divided by g.
0
Let s = 15 - -3. Calculate the remainder when 35 is divided by s.
17
Suppose 9*v - 434 = -83. What is the remainder when v is divided by 8?
7
Suppose -5*z = 3*i, 4*i - 2*z - 35 = 3*z. Suppose 41 = -i*l + 186. Calculate the remainder when l is divided by 10.
9
Let d = -11 - -15. Let c(p) be the first derivative of -p**2/2 - 2*p - 2. What is the remainder when d is divided by c(-5)?
1
Let v be ((-5)/(-2))/((-4)/8). Let s = v - -16. Suppose -3*k - 2*w + 139 = 20, -33 = -k - 2*w. Calculate the remainder when k is divided by s.
10
Let l(f) = f**3 - 5*f**2 + 2*f - 3. Suppose u = 5*u - 8. What is the remainder when l(5) is divided by u?
1
Let j = -6 - -33. What is the remainder when 80 is divided by j?
26
Suppose 0 = 3*i - 0*i. Suppose i = x - 1 - 0. Let c(z) = 55*z**3 + z**2 + z - 1. What is the remainder when c(x) is divided by 19?
18
Let l(r) = 38*r + 2. Let s be l(2). Calculate the remainder when s/18*12/2 is divided by 7.
5
Let t be ((-4)/3)/(4/(-6)). Suppose -2*h + 604 = t*h. Suppose -h = -3*a - a + r, -a + 40 = -r. What is the remainder when a is divided by 13?
11
Let k(x) = -3*x - 10. Suppose 4*n - 3*z = 44, 2*n - 22 = 4*z - 3*z. Calculate the remainder when k(-10) is divided by n.
9
Suppose 3*r - 5*s - 193 = -7*s, -5*s - 265 = -4*r. What is the remainder when r is divided by 22?
21
Let g(v) = -v**2 + 2*v + 1. Let f be g(2). Let q = f - 0. What is the remainder when (2/4)/(q/122) is divided by 21?
19
Let q(o) = -2*o + 3. Let z be q(5). Let n(m) = m**2 + 5*m + 10. What is the remainder when n(z) is divided by 13?
11
Suppose -s + 5*d = 17, -25 = -7*s + 4*s - 4*d. Suppose -3*a + 22 = -a + 3*l, 0 = a - s*l - 20. What is the remainder when a is divided by 6?
2
Calculate the remainder when 251/3 - (24/9)/(-8) is divided by 17.
16
Suppose -5*d - 38 = -l, 6*l + 4*d = l + 74. What is the remainder when 34 is divided by l?
16
Suppose 36 = -0*v + 3*v. Let j(w) = 2*w**2 - 6*w - 1. Calculate the remainder when j(-3) is divided by v.
11
Suppose 126 + 6734 = 5*b. Suppose -4*v = -3*n - b, n = -5*v - 25 - 445. What is the remainder when n/15*3/(-2) is divided by 24?
22
Suppose -2*m + 95 - 11 = 4*u, -3*m + 4*u + 76 = 0. Let x(g) = -g**3 + 6*g**2 - 4*g + 2. What is the remainder when m is divided by x(3)?
15
Suppose -30 = -k - 3*f, -183 = -4*k - k - 4*f. What is the remainder when k is divided by 20?
19
Suppose 4 = -3*n - 5*m, 0 = -4*m + 3*m + 1. Let g = 47 + -28. Calculate the remainder when g is divided by 1 - (60/n)/2.
8
Let z be (36/(-8))/((-6)/8). Let m be (-256)/(-10) + z/(-10). Let v = m - 3. Calculate the remainder when 43 is divided by v.
21
Let p(h) = h**3 + 4*h**2 - h - 2. Let n be p(-4). Suppose n*i = -2 + 14. What is the remainder when i is divided by (-4)/6*1*-3?
0
Suppose 0 = -2*c - 0*c + 60. Let g be 2/4 + c/12. Suppose -y = 4*q - 21, -q + 30 = g*y - 0*y. What is the remainder when 26 is divided by y?
8
Let o = -17 - -22. What is the remainder when 7 is divided by o?
2
Let w = -5 + 8. Suppose c - 30 = w*l + 18, 3*c - l - 144 = 0. Calculate the remainder when c is divided by 13.
9
Suppose -5*k = -4*r - 2 - 15, -5*r + 5*k - 15 = 0. Suppose r*c - 248 = -0*c. Suppose -17 = -3*d + c. Calculate the remainder when d is divided by 16.
15
Suppose 1 = c - 0*c. Let i(m) = 2*m**2. Let g be i(c). Calculate the remainder when 15 is divided by (-1)/g*-2 - -7.
7
Suppose 3*h = -2*h + 65. What is the remainder when 37 - (0/1 - 0) is divided by h?
11
Let d = -2 - -8. Suppose 0 + d = 3*v. Calculate the remainder when 8 is divided by v.
0
Let s(g) = g**2 + 15*g + 1. Let y be s(-6). Let a = -30 - y. Calculate the remainder when a is divided by 8.
7
Suppose -3*s - 5*g + 52 = 0, -4*s - g + 75 = -0*s. What is the remainder when s is divided by 10?
9
Suppose -7 = -2*v + 2*p + 9, -v + 20 = 3*p. W