 is the remainder when z is divided by f?
11
Let y(z) = -z - 8. Let g be y(-7). Let h be (1 - -1)/g + 4. Suppose 4*q - 46 = h*q. Calculate the remainder when q is divided by 13.
10
Let i(s) = -s**3 - 4*s**2 + 5*s + 6. Let j be i(-5). Suppose -2 - j = -2*z. What is the remainder when 7 is divided by z?
3
Suppose 5*f + 1 + 9 = 0. What is the remainder when 22 is divided by (14 + -15)/(f/16)?
6
Let w = 27 - 32. Let j be 1 - ((0 - -4) + w). Suppose -v - 4*k + 21 = -j*k, 20 = -4*k. Calculate the remainder when v is divided by 11.
9
Let c(z) = -z**2 + 11*z + 3. Let o(g) = g**2 - 10*g - 3. Let b(x) = 3*c(x) + 4*o(x). What is the remainder when b(11) is divided by 22?
19
Let d = 216 - 58. Calculate the remainder when d is divided by 27.
23
Let q(o) = 98*o**2 + 11*o + 15. What is the remainder when q(-2) is divided by 14?
7
Suppose -h + 5*z = -146, 0*h - 561 = -4*h - 3*z. Suppose 3*g - h = -0*g. What is the remainder when 140 is divided by g?
46
Suppose -7 = -2*m - 5*q + 1, 3*q + 12 = 3*m. Suppose -3*t + t - 2*i + 176 = 0, -4*t + m*i + 368 = 0. What is the remainder when t is divided by 23?
21
Suppose -15 = 2*p + p, 2*r + 4*p - 68 = 0. Calculate the remainder when 74 is divided by r.
30
What is the remainder when 38 is divided by 12/(-18)*36/(-2)?
2
Let g(p) = -82*p**3 - 6*p**2 + p - 10. Let d(t) = 27*t**3 + 2*t**2 + 3. Let m(c) = -7*d(c) - 2*g(c). What is the remainder when m(-1) is divided by 9?
6
Let g be (1/3)/1*45. Let x = 88 + -85. Calculate the remainder when x is divided by (-5)/g + 10/3.
0
Let a(n) = n + 2. What is the remainder when a(6) is divided by (-33)/(-88)*(-8)/(-1)?
2
Suppose 0 = -g - 2, -20 - 10 = -4*f + 3*g. Suppose 0 = f*v + 146 - 410. Calculate the remainder when v is divided by 9.
8
Let z(t) = 6*t - 3. Let a be z(2). Let d(m) = -m + 12. Let y be d(a). Suppose -2*g = -75 + y. Calculate the remainder when g is divided by 13.
10
Let q(k) = -k**3 + 3*k**2 + 3*k - 4. Suppose g + 0*g - 33 = 0. What is the remainder when g is divided by q(3)?
3
Let g = -20 - -30. Suppose 2*b + g = 4*b. Calculate the remainder when 52/3 - (-4)/(-3) is divided by b.
1
Suppose -2*z + 5*x + 2 = -29, -47 = -4*z + 5*x. Let r(c) = -44*c + 779. Calculate the remainder when r(17) is divided by z.
7
Let o(s) = -21 - 7*s**2 + 3*s**2 - 12*s**2 + s**3 + 18 - 12*s. What is the remainder when o(17) is divided by 17?
14
Let z(k) = 42 + k**3 + 2*k**3 + k + 0*k**3 - 2*k**3 + k**2. What is the remainder when z(0) is divided by 11?
9
Suppose 0*w + 154 = 7*w. Suppose 0 = -m - 3*r + r + w, 5*m - 2*r - 62 = 0. Let d(k) = 2*k**2 - 4*k - 5. Calculate the remainder when d(5) is divided by m.
11
Suppose 5*x = -t + 67, 0 = x + 3*t - 0*t - 5. Suppose 3*h - x = 2*n, -n - 22 = -5*h + n. Calculate the remainder when h/22 - (-207)/11 is divided by 11.
8
Let n = 183 - -51. Calculate the remainder when n is divided by 17.
13
Calculate the remainder when 49 is divided by 1/(0 - (245/(-80) - -3)).
1
Let q(j) = 3*j**2 + 6*j + 11. Let z(w) = 16*w**2 + 30*w + 54. Let y(s) = 11*q(s) - 2*z(s). What is the remainder when 39*(-2 + -1 + 4) is divided by y(-7)?
19
Let s be 30/9 + (-4)/3. Suppose -s*g + 23 = 95. Calculate the remainder when ((-1)/(-2))/((-1)/g) is divided by 5.
3
Let b(j) = 4*j**2 + 2*j - 3. Suppose 6*d + 2*o - 4 = 3*d, -3*d - 3*o + 3 = 0. Calculate the remainder when b(d) is divided by (5 + -6)/(1/(-10)).
7
Let o(x) = -4*x + 1. Let t be o(-1). Let j = 49 + -45. Suppose -t*z + j*i = -z - 380, 2*i = -8. What is the remainder when z is divided by 31?
29
Suppose 19 + 21 = 5*n. Let s(r) = 3*r + 2. Calculate the remainder when s(7) is divided by n.
7
Suppose 0 = -5*b + t + 72, b = -4*t + 2*t + 10. Let r(y) = 4*y**2 + 5*y + 4. Let s be r(-2). Let x = b - s. What is the remainder when 5 is divided by x?
1
Let w(f) = -6*f - 34. Calculate the remainder when 148 is divided by w(-17).
12
Let o(r) = -9*r + 4. Calculate the remainder when 1187 is divided by o(-9).
82
Let t(o) = o**2 - 4*o + 2. Let k be t(5). Suppose -k*d + 2 + 5 = 0. Calculate the remainder when (-2)/d*(-105)/6 is divided by 19.
16
Let x(c) = 2*c**2 + 11 + 0*c + 3*c - 9 - 5*c. Suppose 2*k - 28 = 2. What is the remainder when k is divided by x(2)?
3
What is the remainder when 15 is divided by (-1326)/68*2/(-3)?
2
Let d = -363 + 376. Calculate the remainder when ((-63)/(-4))/((-3)/(-12)) is divided by d.
11
Let f = 8 - 4. Let y be 6 - -2*(-3)/(-2). Let w = 16 - y. Calculate the remainder when w is divided by f.
3
Let q = 199 - -149. Calculate the remainder when q is divided by 92.
72
Suppose 2*v - 64 = -5*r, 5*v - 55 = -5*r - 0*v. Calculate the remainder when ((-4500)/525)/(3/(-14)) is divided by r.
12
Suppose -4*l + l + 130 = 4*u, -2*l + u = -72. Calculate the remainder when 106 is divided by l.
30
What is the remainder when 5/((-5)/6) - -61 is divided by 22?
11
Let v = -66 + 89. Suppose 71*o - 76*o + 15 = 0. Calculate the remainder when v is divided by o.
2
Let i = 24 - -11. Let u(y) = 14*y**3 + 4*y**2 - 10*y - 6. What is the remainder when u(2) is divided by i?
32
Suppose -4*y + 2*l - 31 = -167, -181 = -5*y - 3*l. Let f = -4 + y. What is the remainder when 121 is divided by f?
28
Suppose -1 - 2 = 3*a. Let v(y) = -31*y - 1. Suppose 4*h = 143 + 89. What is the remainder when h is divided by v(a)?
28
Let u(l) = -l**2 + 14*l - 12. Suppose 3*z = -5*h - 0*z + 85, -z = h - 15. Calculate the remainder when h is divided by u(12).
8
Suppose 20*c + 7*c - 567 = 0. Suppose 117 = 2*u - 131. What is the remainder when u is divided by c?
19
Let c = 38 + -26. Let l be ((-20)/c)/(-5)*0. Suppose l*u = 5*u - 110. What is the remainder when u is divided by 12?
10
Let p be 2*((-14)/(-4) + -2). Suppose 2*j - 4 = 0, -p*o + 322 = 5*j - 0*j. What is the remainder when o is divided by 15?
14
Suppose 3*o + 84 = 5*o. Suppose 4*a - 11 = 2*g - 57, -4*a + 29 = g. Suppose 0 = -5*z - g, -5*z - 3 = 2*l - 8. Calculate the remainder when o is divided by l.
12
Suppose -s + 3*s + 2 = 0, -l = 2*s - 39. Let p = l + -23. Calculate the remainder when 47 is divided by p.
11
Let k(l) = -l + 7. Let a be k(4). Suppose -5*y - 18 = 7, -a*d + 110 = -4*y. Let m(r) = -r + 8. Calculate the remainder when d is divided by m(-4).
6
What is the remainder when 9/(-11 + 12) + 244 is divided by 62?
5
Calculate the remainder when (10/(-30))/((-1)/429) is divided by 12.
11
Suppose 72 + 0 = 4*v. What is the remainder when 71 is divided by v?
17
Let r(x) = -x + 13. Let t be r(10). Suppose 119 + 147 = 5*b + m, 0 = -4*b - t*m + 215. What is the remainder when b is divided by 28?
25
Suppose 0 = -192*d + 188*d + 64. Let t = 6 + -10. Calculate the remainder when ((-54)/4 - 2)*t is divided by d.
14
Suppose 4*l + 5*v = -0*l - 12, -5*l + 3*v = -22. Suppose -d + 19 = 5*g, g = l*d - 0*g - 5. What is the remainder when 2/(-13) - (223/(-13) + 6) is divided by d?
3
Let x(k) = -k**2 - 48*k - 202. Calculate the remainder when 517 is divided by x(-43).
10
Let j(d) = 22*d - 803. What is the remainder when j(62) is divided by 9?
3
Let s(d) = -d**3 + 15*d**2 - 17*d + 15. Let i be 0 + 3*39/9. Let n be s(i). Let x = n + -69. What is the remainder when x is divided by 16?
15
Suppose z - 27 - 19 = 0. Calculate the remainder when 735 is divided by z.
45
Let z(n) = -28*n - 99. Calculate the remainder when 755 is divided by z(-6).
65
Suppose -36 - 18 = -2*l. Suppose -g = 5*v - 127, -9*g + 7*g + 2*v + 194 = 0. What is the remainder when g is divided by l?
21
What is the remainder when 2517 is divided by 72*14/(42/3)?
69
Suppose 0 = 4*y - 2*g - 228, 0 = -y - 0*g + 4*g + 64. Let h = 3 - -9. Calculate the remainder when y is divided by h.
8
Let g(f) = 14*f**2 - f - 2. Let q be g(1). Suppose 4*i - 33 - q = -5*v, 0 = 5*i + 4*v - 46. Calculate the remainder when 13 is divided by i.
1
Let w(p) = 27*p**2 - 10*p - 25. Calculate the remainder when w(-2) is divided by 11.
4
Let p(g) = 2*g - 9. Suppose 0 = 18*k - 21*k - 9. Calculate the remainder when p(6) is divided by (k - (-12)/4) + 3.
0
Calculate the remainder when 2580/9 + -7 + 110/15 is divided by 29.
26
What is the remainder when 33 is divided by (18/8)/(16/64)?
6
Suppose 0*g + 1344 = 8*g. Calculate the remainder when 19 is divided by 2/(-3)*g/(-16).
5
Suppose -66 = 2*k - 82. Suppose 4*p = k, 2*p - 39 = -2*l + 15. Calculate the remainder when 148 is divided by l.
23
