17
Suppose -4*m + 60 = 2*c, 4*c - 72 = -3*m + 58. Calculate the remainder when 167 is divided by c.
31
Let u(f) = f**2 + 2*f + 3. Let m(i) = -i**2 - 10*i + 2. Let q be m(-11). Let t be 48/18*q/(-4). Calculate the remainder when u(t) is divided by 13.
12
Let i = -35 - -44. What is the remainder when 34 is divided by i?
7
Let n(h) = -h + 1. Let g(b) = b**2 - 8*b - 9. Let s(v) = -g(v) + 6*n(v). What is the remainder when s(0) is divided by 9?
6
Suppose -13*o + 8*o = -60. What is the remainder when o is divided by 8?
4
Suppose 24 = 4*r - 5*h, 4*r - 2*h = 4 + 8. What is the remainder when r is divided by -4*(11/4 + -3)?
0
What is the remainder when 1*2/5 + (-6048)/(-105) is divided by 15?
13
Let d(h) = -6*h**2 - 3*h + 2. Let s be d(1). What is the remainder when 21 is divided by (-82)/s + (-6)/(-21)?
9
What is the remainder when 27 is divided by 17 + (1 - 6 - -3)?
12
Suppose 11 + 9 = 4*i, 0 = 3*u - 2*i - 134. Calculate the remainder when u is divided by 5.
3
Let c(b) = -b**3 - 4*b**2 + b - 3. Let t(w) = 4*w - 17. What is the remainder when t(12) is divided by c(-5)?
14
Suppose 0 = -5*x - 4*m + 89, -5*m + 1 = -4. Calculate the remainder when 133 is divided by x.
14
Let w = 1 - -25. Let y be 7/4*(28 + 0). Suppose 0 = -2*v + 5*b + 28 + 77, b - y = -v. What is the remainder when v is divided by w?
24
Suppose 0 = 2*h - h - 28. Let m(c) = -c**2 - 4*c - 5. Let w be m(-4). Let f = w + h. What is the remainder when f is divided by 12?
11
Let x be 21/9 - (-3)/(-9). Let j = x + 7. What is the remainder when 25 is divided by j?
7
What is the remainder when 18 is divided by 640/65 - 4/(-26)?
8
Let n(z) = 2*z**2 + 12*z + 5. What is the remainder when n(-9) is divided by 10?
9
Suppose 216 = 27*z - 24*z. Calculate the remainder when z is divided by 20.
12
Calculate the remainder when 429/9 - 1/(-3) is divided by 26.
22
Let t be (2 + 6)/((-2)/(-1)). Suppose -15 = 3*z, -t*r + 33 + 19 = 4*z. What is the remainder when 34 is divided by r?
16
Let k = 29 + -41. Let l = 7 + k. Let j(g) = g**3 + 5*g**2 - 2*g. Calculate the remainder when 29 is divided by j(l).
9
Let x = -16 + 23. Let w(q) = 6*q**2 - 1. Calculate the remainder when x is divided by w(1).
2
Let r be 2 - (-4 + 0 + 5). What is the remainder when (r/(-3))/(2/(-114)) is divided by 11?
8
Suppose -5*u = -184 - 51. Calculate the remainder when u is divided by 16.
15
Calculate the remainder when 65 is divided by (-1)/4*(-2 - 66).
14
Suppose 11*t = 3*t + 952. What is the remainder when t is divided by 11?
9
Suppose -b = -5*m - 4*b + 26, -5*b + 6 = -m. Suppose -63 + 108 = 5*y. Calculate the remainder when y is divided by m.
1
Suppose 0 = s - 5. Suppose -5*c - 4 = -u, 3*c = -5*u + 6*c - 68. Calculate the remainder when u/(s/(5/(-2))) is divided by 5.
3
Suppose -b = 1, -5*m + 17 = -2*m - 5*b. Let n(v) = -3*v + v + 5*v. Calculate the remainder when n(2) is divided by m.
2
Suppose 12 = 4*g - 0*g. Calculate the remainder when (-4 + 3)*1*-5 is divided by g.
2
Let j = -17 + 40. What is the remainder when j is divided by 4?
3
Suppose -2*b + 28 = -b + 4*h, -2*b - h + 28 = 0. Let t = 237 - 230. Calculate the remainder when b is divided by t.
5
Let l = -23 + 41. What is the remainder when 71 is divided by l?
17
Suppose 3*z = 9 + 78. Let y = 6 + z. Let o(q) = 11*q**3 + 2*q**2 - 1. Calculate the remainder when y is divided by o(1).
11
Suppose 1 = v - 9. Suppose 0 = -2*o - m + 74, 3*o - 147 = m - 31. Calculate the remainder when o is divided by v.
8
Suppose -3*u - 3 = -4*u. Suppose 11 = u*s - 16. Calculate the remainder when 17 is divided by s.
8
Let c = -51 - -86. Let l be 1/(-2) - 539/2. What is the remainder when c is divided by l/(-14) + 10/(-35)?
16
Suppose 0*o + 8 = 2*o, 5*l - 5*o = -15. Let b(d) be the third derivative of 11*d**4/12 - d**2. Calculate the remainder when b(l) is divided by 8.
6
Let d = 157 + -137. What is the remainder when 76 is divided by d?
16
Suppose -5*j - 64 = -4*p, -2*p + 6*p - j = 48. Calculate the remainder when 61 is divided by p.
6
Suppose 0 = -5*l + 4*f + 59, -5*f + 2 = 7. What is the remainder when 18 is divided by l?
7
Suppose -4*f + 110 + 278 = 0. What is the remainder when f is divided by 25?
22
Let o(k) = k**3 - 6 + 0 + 9 - 7*k - 6*k**2. Calculate the remainder when 5 is divided by o(7).
2
Let s(x) = -3*x + 3. Let b be s(2). Let q = 30 - b. What is the remainder when 885/q + 4/22 is divided by 10?
7
Let q = 61 + 8. Suppose 261 + q = -3*p. What is the remainder when (p/4)/(2/(-4)) is divided by 19?
17
Let q = 47 + -34. Let v(d) = 8*d - 16. Calculate the remainder when v(5) is divided by q.
11
Suppose 12*h = -4*w + 7*h + 393, 0 = w + 3*h - 107. What is the remainder when w is divided by 20?
12
Suppose r = 6*r - 100. Suppose -4*y = -r - 24. Suppose 5*i - 90 = 2*i + k, -4*i - 3*k + 133 = 0. What is the remainder when i is divided by y?
9
Suppose -77 + 31 = -2*f. Suppose -4*s + 12 = 2*s. Suppose -w = -s*w + 45. Calculate the remainder when w is divided by f.
22
Suppose -4*r - 2*o + 65 = -67, 0 = 3*r - 3*o - 99. Let h be 1/3*(-6)/(-2). Let b(f) = 18*f**3 - f**2 + f - 1. What is the remainder when r is divided by b(h)?
16
Let k(b) = b + 4. Let y be k(-4). Suppose -2*v + v + 9 = y. Let i = v + -2. Calculate the remainder when 12 is divided by i.
5
Let s = 77 - 61. Let f(t) = t + 9. What is the remainder when s is divided by f(0)?
7
Suppose -3*m - 3*w + 7*w + 16 = 0, -4*m + 22 = -5*w. Let f = 34 - m. Let t = 17 + -10. Calculate the remainder when f is divided by t.
5
What is the remainder when 2/(2/21) + (7 - 4) is divided by 8?
0
Let i = 0 - 0. Let u(d) = d + 7. What is the remainder when 13 is divided by u(i)?
6
Let s = 1 - 0. Calculate the remainder when s - (-5)/((-5)/(-12)) is divided by 8.
5
Let l be (-2)/4 + (-5)/(-10). Suppose l = 5*m + 5*r - 200, 2*m - 3*r - 80 = r. What is the remainder when m is divided by 14?
12
Suppose -4*v = -8 - 12. Suppose -v*p = -3*w - 114, 4*p + 2*w = 72 + 28. Suppose 2*d + k = d, p = 5*d - k. What is the remainder when d is divided by 3?
1
Let b(i) = 7*i**2 - 1. Let o = -13 + 28. What is the remainder when o is divided by b(1)?
3
Suppose 17 + 5 = l + 4*i, -114 = -4*l - 3*i. Calculate the remainder when 89 is divided by l.
29
Let u = -7 - -10. Suppose 3*m - 2*q = -u + 1, -4*q + 6 = -5*m. Suppose 0 = d - 3 - 2. What is the remainder when d is divided by m?
1
Suppose q - 3*x = -0*q, 3*q + 4*x = 0. Suppose -2*h + 0 + 8 = q. Suppose 3*a - 5*n - 106 = 14, h*n = 5*a - 187. Calculate the remainder when a is divided by 12.
11
Let i(y) = y**2 - 1. Let p be i(-5). Let q be 148/p - 2/12. Suppose 30 = -q*t + 9*t. What is the remainder when 29 is divided by t?
9
Suppose 14*t - 160 = -2*t. Calculate the remainder when 13 is divided by t.
3
Let j = 1 + 8. Suppose 0 = -b + 7 + 10. What is the remainder when b is divided by j?
8
Let m be 3 + 2 + -7 - -1. Let p be m/(-2 + 3/2). Suppose -p*g + 100 = 2*g. Calculate the remainder when g is divided by 13.
12
Let z(p) = 26*p - 6. Calculate the remainder when z(3) is divided by 25.
22
Let t(y) = -4 + 3 + y**3 - 14*y + 6 + 10*y**2. Let d = 10 + 3. What is the remainder when t(-11) is divided by d?
12
Let v(g) = -g**3 + 10*g**2 - 8*g. Let w be 4/(-10) + 37/5. What is the remainder when v(9) is divided by w + 1/((-1)/2)?
4
Suppose 30 = 5*k + 4*t, 3*k - 25 = -3*t - 7. Let y(v) = -v + 6. Calculate the remainder when k is divided by y(3).
0
Let l(f) be the third derivative of 1/8*f**4 + 0*f**5 - f**2 + 0 + 1/40*f**6 - 1/2*f**3 + 0*f. Calculate the remainder when l(2) is divided by 14.
13
Let y(t) = t**3 + 5*t**2 + t. Suppose 4*o + 3*n - 203 = 0, -5*o + 2*n + 119 + 106 = 0. Calculate the remainder when o is divided by y(-4).
11
Suppose -d + 6 = -f + 4*f, 5*d = -f + 16. What is the remainder when d is divided by 1?
0
Calculate the remainder when (-82)/(-3) + 2/(-6) is divided by 10.
7
Suppose 0 = -o + 15 + 8. Calculate the remainder when o is divided by 12.
11
Let u(w) = w**3 + 5*w**2 + 3. Let f be u(-5). Let d(o) = o + 6*o - 4*o**f - 6*o**2 - 2 + 5*o**3. Calculate the remainder when d(6) is divided by 14.
12
Suppose -88 = 5*m - 463. Calculate the remainder when m is divided by 13.
10
Suppose 4*c = -s + 24, c - 176 = -4*s + 5*c. What is the remainder when s is divided by 23?
17
Let r(b) = -b**3 - 5*b**2 - 3*b + 1. Let z be r(-4). Let a = z + 23