hat is the remainder when j is divided by 11?
10
Let n = -29 - -58. What is the remainder when n is divided by 15?
14
Let f be 2 + 1 + (-2 - 2). Let b = 1 + f. Let w = b + 26. What is the remainder when w is divided by 9?
8
Let r(w) = w**3 + 15*w**2 + 11*w + 17. Calculate the remainder when r(-14) is divided by 30.
29
Let q(r) = -7*r + 2. Calculate the remainder when q(-7) is divided by 14.
9
Let x(a) = a**2 - 4*a. Suppose -3*t - 2*y = -11, t + 2*y = -0*y + 5. Let i be x(t). What is the remainder when (0 - i/(-3)) + 12 is divided by 6?
5
Let l(t) = 3*t + 1. Let p be l(-7). Calculate the remainder when 9 is divided by (-1)/(p/6 - -3).
0
Let t = -7 + 18. Suppose 0*u + u = 6. Suppose -u - 36 = -2*q. What is the remainder when q is divided by t?
10
Let t(m) = 4*m**2 - m. Let h be t(-2). Suppose 45 = 5*d - 0*d + 4*k, -4*k + h = 2*d. What is the remainder when ((-18)/27)/(2/(-48)) is divided by d?
7
Let p be 2*((-4)/8 + 0). What is the remainder when (8/24)/(p/(-57)) is divided by 10?
9
Let t(p) = -p - 3. Let v be t(-5). Suppose -d - 16 = -3*d. Calculate the remainder when ((-10)/(-20))/(v/52) is divided by d.
5
Suppose 0 = 2*z + s - 2 - 1, s - 4 = -3*z. Let n = 12 + z. Calculate the remainder when 37 is divided by n.
11
Suppose w - p - 9 = 0, -4 = -2*w - 3*p - 6. Calculate the remainder when 27 is divided by w.
2
Suppose 4*y - 6 = 3*o - 4*o, 3*o - 3 = 3*y. Suppose 9 - 1 = 5*l + 3*b, 0 = -2*l - 2*b + 4. Calculate the remainder when o is divided by l.
0
Let y = 19 - 17. Suppose 0*n = y*n - 82. Calculate the remainder when n is divided by 14.
13
Let b be 2/(-6) + 174/9. Let c = 47 - b. Calculate the remainder when c is divided by 15.
13
Suppose -22 = -5*l - 4*x, 3*l - l - x = 1. Suppose -5*f = -l*f - 18. What is the remainder when f is divided by 4?
2
Let t = 37 - 17. Calculate the remainder when 77 is divided by t.
17
Let x = -9 - -13. Suppose -2*p - 4*k + 42 = 0, -5*p - x*k + k + 140 = 0. Calculate the remainder when p is divided by 8.
7
Let u(a) = -a**2 + 6*a - 2. Let p be u(6). Suppose 2*n + m + m - 64 = 0, 44 = n + 4*m. Calculate the remainder when n is divided by p/(-2) + 10 + -1.
8
Suppose -11 - 25 = -u + 5*d, 4*u + 5*d = 19. Let y = -16 + 22. What is the remainder when u is divided by y?
5
Let o(v) = v + 8. Let p = 0 + 0. Let j(q) = q + 7. What is the remainder when o(4) is divided by j(p)?
5
Suppose 0 = -4*c - p + 122 + 114, -5*p = 20. Calculate the remainder when c is divided by 17.
9
Let a(p) = p - 1. Let x be a(3). Suppose r - x*r = -7. What is the remainder when 12 is divided by r?
5
Suppose 0 = -3*g - 5*c + 23, -g + 3*c - 1 = -2*g. Let m = -9 + g. What is the remainder when m is divided by 4?
3
Let g be 16/6 - 2/(-6). Suppose 5*k - 55 = 5*w, w = -k - g*w - 14. Suppose 54 = r + 2*m, 2*r - k*r = -m - 180. What is the remainder when r is divided by 16?
14
Suppose -2*z - 37 + 337 = 0. Suppose 5*h = -2*k + z, -k = -h - 0*h + 23. What is the remainder when h is divided by 1 - (-1 - (2 - -6))?
8
Let r = 7 + -3. Suppose r*j - 2 = 42. Calculate the remainder when 19 is divided by j.
8
Suppose 71 = -6*f + 215. Suppose 4 + 16 = 4*g. Suppose g*z = z + 188. What is the remainder when z is divided by f?
23
Suppose 0*a = a + 7. Let g(h) = -h**3 - 6*h**2 + 7*h + 2. What is the remainder when 4 is divided by g(a)?
0
Suppose -5*r = -5*q + 45, q + 3*r - 34 = -9. Calculate the remainder when 49 is divided by q.
10
Suppose -4 - 2 = -a. Let b(c) = 22*c**3 - c**2 + 2*c - 1. Calculate the remainder when b(1) is divided by a.
4
Suppose 3*i - 2*s - 33 = s, 4*i + 4*s - 36 = 0. Suppose -q = -3*r - i, -43 = -5*q + r + 21. What is the remainder when q is divided by 4?
1
Let q be (-3)/(-3) - (3 + -5). Suppose -q*w + 2 + 49 = 0. Calculate the remainder when 31 is divided by w.
14
Let c = -2 - -4. Suppose 2*z - 22 = -c*n, 5*n + 0*z = -2*z + 67. Suppose 0 = 4*a - 0*a - 32. Calculate the remainder when n is divided by a.
7
Suppose -2*m = -m - 4. Suppose m*s - 23 - 5 = 0. Calculate the remainder when 20 is divided by s.
6
Let p be (2/(-5))/((-5)/(-25)). Calculate the remainder when 59 is divided by (4/6)/(p/(-60)).
19
Let k be 6/6 - (-2 - -3). Suppose -14 = -m - k*d - 2*d, -d = 5*m - 52. Calculate the remainder when m is divided by 3.
1
Let r(b) = -b**2 - 11*b - 9. Let i be r(-8). Let t = 1 - 2. Calculate the remainder when i/10*(-14)/t is divided by 11.
10
Suppose 0 = 2*s + 3*s - 5*k - 95, 39 = s - 5*k. What is the remainder when 50 is divided by s?
8
Suppose 2*r + 4*t - 166 = 0, 2*r + 3*t + 108 = 3*r. Calculate the remainder when r is divided by 24.
21
Suppose 90 = a + 4*a - 5*h, -3*h = -4*a + 76. Let r = 37 - a. Calculate the remainder when 57 is divided by r.
12
Let u = -12 - -40. What is the remainder when u is divided by 17?
11
Suppose 0*y = 4*y - 92. Suppose 0 = -5*w + 47 + y. Let s = 35 - w. Calculate the remainder when s is divided by 11.
10
Suppose -n + 15 = 4*l - 2*n, -21 = -4*l + 3*n. Suppose -25 = -5*k - 2*t + 8, l*t - 32 = -5*k. Calculate the remainder when 20 is divided by k.
6
Let l(t) = 3*t + 1. Let p(b) = 1. Let z(o) = l(o) - 6*p(o). What is the remainder when 45 is divided by z(7)?
13
Let w(m) = -m**3 - 15*m**2 - 14*m + 4. What is the remainder when 18 is divided by w(-14)?
2
Suppose -r + 5*r = 116. Calculate the remainder when r is divided by 15.
14
Suppose 3*i - 4 = -1. Suppose 3*y - 8*y + 5 = 0. Calculate the remainder when y is divided by i.
0
Let c = -3 + 4. Let j(v) = 31*v**3 + 2*v**2 - 2*v + 1. Suppose 8*z - 34 - 54 = 0. Calculate the remainder when j(c) is divided by z.
10
Suppose 0*p - 5 = -p. Let d(s) = s**2 + 6*s + 6. Let i be d(-4). What is the remainder when (15/(-6) - i)*-26 is divided by p?
3
Suppose 12 + 6 = 2*m. Let q be 6/(-2 + (-3)/(-1)). Calculate the remainder when m is divided by -1*-2*q/4.
0
Let g = 32 - 22. What is the remainder when g is divided by 3?
1
Let d(c) = -6*c**3 - 2*c**2 + c - 2. Let i = -5 + 7. Let q be 1 + (-3)/2*i. What is the remainder when d(q) is divided by 13?
10
Let j(l) = -l**3 + 7*l**2 + 14. What is the remainder when 55 is divided by j(7)?
13
Suppose -a - 4*d = -0*d - 23, -a + 11 = d. Let g = 25 - a. Suppose 2*u = -5*h + g, u = 2*h - 4*h + 9. Calculate the remainder when 17 is divided by u.
8
Let o(g) = -10*g + 1. Suppose -3*q - 2*k + 6 = -1, -6 = -4*q - 2*k. Let n(t) = 3*t**2 - 3*t + 2. What is the remainder when n(3) is divided by o(q)?
9
Let k(h) = -2 + 1 - 2*h - h. Let y(i) = 5*i + 38. Calculate the remainder when y(-7) is divided by k(-1).
1
Suppose w - 5*q = 11, -4*w - 3*q = w + 1. Let y(l) = 8*l**2 - 1. Let g(f) = 12*f - 1. What is the remainder when g(1) is divided by y(w)?
4
Suppose -k + 84 = 2*k. Calculate the remainder when 52 is divided by k.
24
Let v(l) = 2*l**2 - 9*l + 1. Let z be v(7). Suppose -j + z = j. Calculate the remainder when 33 is divided by j.
15
Suppose 1 = b, -5*p + 2*b + 14 = b. Suppose -5*y + 4*h = -24, -6*h + p*h - 19 = -4*y. Let k = 11 + -8. What is the remainder when y is divided by k?
1
Let r = -91 - -142. Calculate the remainder when r is divided by 13.
12
Let c(f) be the first derivative of 11*f**2/2 - 5*f + 1. Suppose -17*h + 2*h + 315 = 0. Calculate the remainder when c(6) is divided by h.
19
Let f be (-15)/(-25) + (-78)/5. Let t(r) = -r**3 - 16*r**2 - 16*r - 1. Calculate the remainder when t(f) is divided by 8.
6
Suppose 4*b - 31 = -l + 35, 0 = 5*b - 10. Let a(f) = -11*f**3 + 2*f**2 + 2*f + 1. What is the remainder when l is divided by a(-1)?
10
Let w be -1*(0 + 1/(-1)). Let q = -5 - w. Calculate the remainder when ((-123)/q)/((-2)/(-4)) is divided by 14.
13
Suppose -26 = 25*a - 27*a. Calculate the remainder when 24 is divided by a.
11
Suppose 81 = 4*z - 115. Calculate the remainder when z is divided by (-212)/(-16) + 1/(-4).
10
Suppose 17 = -2*y + 289. Calculate the remainder when y is divided by 20.
16
Suppose 2*w + 0*w = -3*d + 45, -3*d = 4*w - 93. Suppose 2*g - w = 4. Calculate the remainder when 25 is divided by g.
11
Suppose -4*d - 8 - 8 = 4*m, -3*m - 7 = 2*d. Calculate the remainder when 5 is divided by m.
0
Let s(z) = -z**2 - 13*z + 12. Suppose -4*d = 20 + 32. Calculate the remainder when s(d) is divided by 7.
5
Let d be (3 - 12)/(1/(-1)). Let x = -6 + d. Suppose 4*j + 26 = -2*l + 84, -56 = -2*l - x*j. Calculate the remainder when l is divided by 13.
12
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