e remainder when p is divided by 53.
50
Let p be (-4)/(4/(-1)) - -2. Suppose -20 = -2*y - 0*j + 2*j, j = -p*y + 14. What is the remainder when 16 is divided by y?
4
Let l(t) = -12*t**2 - t**3 + 2*t**3 + 17*t**2 + 3*t. Calculate the remainder when 6 is divided by l(-4).
2
Suppose 3*x + 4*c = -21 - 2, c + 2 = 0. What is the remainder when 41 is divided by (-412)/(-20) - 2/x?
20
Suppose -22 = -2*r + 4*z, -4*r - z = -2*r - 7. Let b(t) = t + 3. Calculate the remainder when r is divided by b(0).
2
Suppose 2*o + 144 = 6*o + 2*m, 136 = 4*o + 4*m. Calculate the remainder when o is divided by 23.
15
Let c(p) = p + 0*p**2 - 2*p - p**2 + 6 + 0*p**2. Let m be c(0). What is the remainder when 17 is divided by (m/(-4) - -2)*10?
2
Suppose 1 = a, 8*w - 3*a = 5*w + 9. Suppose -4*b + 31 = 7. What is the remainder when b is divided by w?
2
Let x be (-14)/(-6) + 2/(-6). Let b(w) = 2*w**3 - 2*w**2 - 2*w. What is the remainder when (30/9)/((-1)/(-3)) is divided by b(x)?
2
Suppose 2 = g + 3*i, -1 = -4*g + 3*i + 7. Let c = -22 + 29. What is the remainder when c is divided by g?
1
Suppose -5*d - d + 18 = 0. Suppose d*b - 13 - 5 = 0. What is the remainder when b is divided by 4?
2
Let c(h) = 4*h + 18. Calculate the remainder when c(9) is divided by 11.
10
Suppose 3*n + 0*n - 72 = 0. What is the remainder when 119 is divided by n?
23
Let v(i) = 2*i**3 + 2*i**2 + i - 2. Suppose -1 = 5*a - 6. What is the remainder when 5 is divided by v(a)?
2
Let p = 156 - 44. What is the remainder when p is divided by 23?
20
Let u(s) = s**3 - 7*s**2 + 7*s + 8. Let c be 1/(-3) + (-38)/(-6). Calculate the remainder when u(c) is divided by 5.
4
Let t(o) = -o + 32. Let k(x) = -2 - 5 - 1. Let f(c) = 9*k(c) + 2*t(c). Calculate the remainder when 11 is divided by f(-6).
3
Let w be ((-16)/(-20))/((-2)/(-15)). Let u be (-1 + 3)*405/w. Suppose -i - 4*l + 144 = 3*i, u = 5*i - 4*l. What is the remainder when i is divided by 11?
9
What is the remainder when 35 is divided by (-25)/(-5)*3 + 3?
17
Let q(i) = i**2 - 8*i + 2. Let u(z) = z + 2. Let c be u(6). Suppose 2 - 23 = -k - 5*n, 0 = 2*k - 3*n - 3. What is the remainder when k is divided by q(c)?
0
Let f(v) = -26*v. Let c be f(-1). Suppose c - 82 = -4*q. Calculate the remainder when q is divided by 5.
4
Let h = -3 - -6. Suppose 2*s = -p + h*s + 37, 3*p = 2*s + 106. Suppose 0*g - 4*l = 2*g - 34, -g + l = -p. Calculate the remainder when g is divided by 14.
13
Suppose -174 = 4*p + 4*c - 506, 5*p - 2*c - 415 = 0. Calculate the remainder when p is divided by 17.
15
What is the remainder when 2/8 + (-86)/(-8) is divided by (-3)/(-1 + (-3)/(-12))?
3
Let k(c) = 5*c - 3. Let h be k(2). Calculate the remainder when h - 3*3/9 is divided by 3.
0
Suppose -5*p + a + 3*a + 139 = 0, -2*a + 106 = 4*p. Calculate the remainder when p is divided by 14.
13
Let a = 4 - 2. Suppose 0*r = a*r. Suppose 0 = -3*o + 15 - r. Calculate the remainder when 8 is divided by o.
3
Suppose 0 = 2*a - 5*a + 84. Calculate the remainder when (-1968)/(-36) - 1/(-3) is divided by a.
27
Let v = 6 - -7. Calculate the remainder when 25 is divided by v.
12
Let z = 86 - 56. What is the remainder when z is divided by 11?
8
Suppose -4*m = m - 85. Let s = 57 - m. Calculate the remainder when s is divided by 14.
12
Let l be 2*(-1 - 0) + 3. Calculate the remainder when 7 is divided by (1 + (l - 4))*-2.
3
Let z = 3 - -4. Let i = -3 + z. Suppose -40 = -2*a - i*m + 6, 0 = 4*m - 8. Calculate the remainder when a is divided by 10.
9
Let a(u) = u**3 - 3*u**2 - 3*u + 1. Let r be a(4). Suppose -5*g + 60 = r*j, 4 = -0*g + 4*g. Calculate the remainder when 31 is divided by j.
9
Let t(i) = -i**2 - 12*i - 9. Calculate the remainder when 8 is divided by t(-11).
0
Suppose -f + 3*q = -20, q - 35 = -3*f + 5*q. Suppose -3*t - 5*p = 0, t - f*p = -t + 25. Let o(u) = -3*u - 1. Calculate the remainder when o(-3) is divided by t.
3
Let p = 3 + 2. Suppose -3*w = g - 13 - 23, p*g + 5*w = 150. Calculate the remainder when g is divided by 14.
13
Suppose -13*b = -19*b + 144. What is the remainder when 141 is divided by b?
21
Suppose 5*t + 2*j - 81 = 4*j, -5*t + 95 = 5*j. Suppose 4*u - l = 11 + 11, -2*l = -4. Let r = 12 - u. What is the remainder when t is divided by r?
5
Let j(n) = -n. Let a be j(-2). Let t(x) = 2*x - 1. Let m be t(a). Suppose 0*z = m*v - 4*z - 45, 5*z = -v - 4. What is the remainder when 32 is divided by v?
10
Let h = -5 - -9. Suppose -h*s = 3 - 47. Let w(g) = -2*g**3 - 4*g**2 - 2*g - 4. Calculate the remainder when w(-3) is divided by s.
9
Let t = -15 + 6. Let g(j) = -j**3 - 7*j**2 + 3*j - 12. Let i be g(t). Let q = i + -86. What is the remainder when q is divided by 13?
11
Let f(g) = -g. Let k(x) = x. Let u(q) = f(q) + 2*k(q). Let l be u(-2). What is the remainder when 34 is divided by 18/((-3)/l + 0)?
10
Let s(t) = -2*t + 25. What is the remainder when s(0) is divided by (-1)/(2/2)*-9?
7
Let w(l) = -l**3 + l - 3. Let x be w(0). What is the remainder when (-8)/x*(2 - -25) is divided by 15?
12
Let k be -1*1 + (-1)/1. Let x be 3/(k - 1) + 4. Suppose -82 - 79 = -5*w + x*t, 0 = -5*w - 4*t + 182. What is the remainder when w is divided by 12?
10
Let m(r) = 2*r + 1. Suppose -3*o + 15 = 2*o. Calculate the remainder when 10/2*24/10 is divided by m(o).
5
Suppose -2*w + 40 + 0 = 0. What is the remainder when w is divided by 11?
9
Let j be (-565)/10*(0 - 2). Suppose n = 5*d + 56 - 9, j = 4*n - 5*d. Calculate the remainder when n is divided by 12.
10
Let v(g) = 3*g + 14 - 3*g - 11*g - 2. What is the remainder when v(-7) is divided by 23?
20
Let g = -35 - -89. Let k = -31 + g. Calculate the remainder when 91 is divided by k.
22
Let k(j) = -j**3 + 10*j**2 - j + 14. Let v be 242/14 + 8/(-28). Let u = v - 7. What is the remainder when 7 is divided by k(u)?
3
Let l(z) = -43*z**3 + 1. Suppose 8 = -2*n + 3*h - 3, 0 = -4*n + 5*h - 19. Suppose -8 - 7 = -b. Calculate the remainder when l(n) is divided by b.
14
What is the remainder when 5 is divided by ((-5)/(25/(-20)))/2?
1
Let o(t) = -t + 1. Calculate the remainder when 9 is divided by o(-3).
1
What is the remainder when 80 is divided by 405/18 + (-3)/(6 + 0)?
14
What is the remainder when 36/(-10)*10/(-6) is divided by 4?
2
Let q(g) = -4*g - 21. Let r = 6 + -3. Calculate the remainder when q(-6) is divided by r.
0
What is the remainder when 474/15 - (-2)/5 is divided by 9?
5
Let w(c) = 6*c - 20. What is the remainder when 5 is divided by w(4)?
1
Suppose -2*d + 4 = -0*d. Suppose -p = -d*i + 15 - 2, -4*i = p - 35. Calculate the remainder when 13 is divided by i.
5
Suppose 4*p - 356 = -a, 3*p = -7*a + 4*a + 267. What is the remainder when p is divided by 18?
17
Let x = -69 + 82. Calculate the remainder when 22 is divided by x.
9
Let i(s) = s**2 + 3*s + 2. Calculate the remainder when 13 is divided by i(-4).
1
Let i(q) = -11*q - 3. Let p be i(-3). Suppose 0 = 2*n - p. What is the remainder when n is divided by 8?
7
Let c = 102 + -68. Let k = 3 + -3. Suppose k*b - b + 12 = 0. Calculate the remainder when c is divided by b.
10
Let d(h) = 5*h - 5. Let n = 102 - 60. What is the remainder when n is divided by d(4)?
12
Suppose -5*j + 3*j + 2*w = -6, -13 = -2*j - 5*w. Calculate the remainder when 18 is divided by j.
2
Suppose q - 5 = -2. Let f be q*1/(3/2). Suppose f*b = -k - 0*k + 23, -3*k = -3*b - 87. What is the remainder when k is divided by 14?
13
Let z = 12 - -3. Let m = z + -12. Calculate the remainder when m is divided by ((-6)/(-15))/((-1)/(-5)).
1
Suppose 2*a - 5*a + 132 = 3*h, 0 = 3*h + a - 130. What is the remainder when h is divided by 23?
20
Let x(y) = 2*y**2 + 7*y**3 + 9*y**3 - 69*y + 68*y. Calculate the remainder when 48 is divided by x(1).
14
Suppose 3*l = 2*l + 3. Let t = l + 10. What is the remainder when 36 is divided by t?
10
Suppose 4*p = 5 - 1. What is the remainder when 14 + p/(-3)*-3 is divided by 6?
3
Let p = 23 - 14. Suppose 172 = -2*y + 6*y. What is the remainder when y is divided by p?
7
Let z = -1 + -1. Calculate the remainder when (-1 - z/6)*-27 is divided by (-14 - 1)*4/(-6).
8
Let p = 111 - 59. Calculate the remainder when p is divided by (-2 + 1)/(5/(-90)).
16
Suppose z - 14 = 3*w - 82, 0 = 5*z + 25. Let g = 90 + -28. Calculate the remainder when g is divided by w.
20
Let g be ((-4)/5)/((-2)/15). Let d(m) = 2*m + 5. Let q(a) = a. Let y(k) = -d(k) + 6*