 76 - a. Calculate the remainder when f is divided by 14.
12
Suppose -2*z + 3*r + 54 = 16, -5*r - 20 = 0. What is the remainder when 45 is divided by z?
6
Suppose u - 11 = -54. Let v = 7 - u. What is the remainder when v is divided by 13?
11
Suppose -4*r - 347 = 5*j, -3*r + 3*j = 45 + 222. Let n = 127 + r. Calculate the remainder when n is divided by 14.
11
Let q(b) = b**2 + b - 3. Let j be q(-3). Let p(x) = 2*x + 2. What is the remainder when 22 is divided by p(j)?
6
Let d be ((-4)/3)/(4/18). Let l = d + 8. Suppose 29 = 4*v - x, -42 + 8 = -4*v + l*x. What is the remainder when 17 is divided by v?
5
Suppose h = 5*v - 19, 5*v - 4*h - 16 - 15 = 0. Let u = 5 - 3. Calculate the remainder when v is divided by u.
1
Let z = -40 - -75. What is the remainder when z is divided by 12?
11
Calculate the remainder when 11 is divided by (-16)/(-3) - 16/(-24).
5
Suppose -r + 19 = -2*x, -5 = -2*r - 3*x - 2. Calculate the remainder when 49 is divided by r.
4
Suppose -541 = -6*n + 311. Calculate the remainder when n is divided by 16.
14
Let g(s) = 0 - 2 + s - 13*s. Suppose -15 = x + 4*x. Calculate the remainder when g(x) is divided by 12.
10
Suppose -4*n = -3*n - 15. What is the remainder when n is divided by 6?
3
Calculate the remainder when (-15)/(20/16 + -2) is divided by 11.
9
Let f = 277 - 161. Calculate the remainder when 2/2 + f/4 is divided by 16.
14
Let v = 4 + 21. Calculate the remainder when (6 - -41) + (3 - 1) is divided by v.
24
Let z(j) = j**2 - 2*j - 1. Let t be z(3). Let d = 2 - t. Suppose -8 = -d*h - 4*h, 5*u = -2*h + 179. What is the remainder when u is divided by 12?
11
Let d = 134 - 49. Suppose 2*i - d = -17. Let m = 16 + -4. Calculate the remainder when i is divided by m.
10
Suppose 3*p + 44 = -p. Let s(q) = q**3 + 11*q**2 + 3. Suppose 40 = -0*f + 5*f. What is the remainder when f is divided by s(p)?
2
Suppose 5*s + 21 = 2*s. Let z(t) = 11*t**2 - 6*t - 1. Let a be z(s). What is the remainder when a/18 + 6/(-27) is divided by 11?
10
Let l be (6/4)/(9/(-60)). Let s = l - -20. Suppose 2 = o - s. Calculate the remainder when 34 is divided by o.
10
Let a = 12 - 7. Suppose 34 + a = 3*d. What is the remainder when 24 is divided by d?
11
Let o(j) = j - 1. Let g(l) = 3*l - 17. Let x(v) = -g(v) + 4*o(v). Calculate the remainder when x(-8) is divided by 6/9 + (-10)/(-3).
1
Let x be (-6)/(9/6*-1). Suppose 0 = u - x. Suppose -6*z + 35 = -2*z - 3*b, -u*z - 5*b = -59. What is the remainder when z is divided by 4?
3
What is the remainder when (-2)/9 - (1 + 1840/(-18)) is divided by 52?
49
Let l(g) = 0*g + 3*g + 2 + 0 - 2*g. What is the remainder when 2 is divided by l(0)?
0
Let i(u) = u + 2. Let t be i(-3). What is the remainder when 3 + t - (-67 - -6) is divided by 16?
15
Let n = -50 - -85. Calculate the remainder when n is divided by -3 + 0 - 1 - -13.
8
Let b be 8/1 - (5 - 3). Suppose 2*l - b = -l. Suppose -8 = -l*q - 2. What is the remainder when 8 is divided by q?
2
Let u = -156 - -226. Let w(t) = t**3 - 7*t**2 + 8*t + 5. Let y be w(7). Let z = y + -43. Calculate the remainder when u is divided by z.
16
Let b(r) = r - 15. Let y be b(10). Let u(v) = v**2 + 3*v + 3. What is the remainder when u(y) is divided by 4?
1
Let k = 36 + -30. Calculate the remainder when 40 is divided by k.
4
Let i(s) = 2*s - 3. Calculate the remainder when 11 is divided by i(3).
2
Let v = -187 - -221. Calculate the remainder when v is divided by 5 + -5 + 36/2.
16
Let k(r) = -r**3 - 8*r**2 - 11*r + 4. What is the remainder when k(-8) is divided by 24?
20
Let b be (-220)/6 - 12/(-18). Let j = b - -51. Suppose 0*d = -3*d + 24. What is the remainder when j is divided by d?
7
Calculate the remainder when (1 - 3)*(-648)/16 is divided by 14.
11
Let z be 1/(4 + 76/(-20)). Suppose a - 26 = -3*m + 27, 0 = z*m + 5*a - 75. What is the remainder when 37 is divided by m?
18
Suppose -7*d + 8*d - 28 = 0. Calculate the remainder when 81 is divided by d.
25
Suppose 109 = 5*c - 21. Calculate the remainder when 101 is divided by c.
23
Let v be 26/4 + 1/(-2). Suppose 11*r - 10*r - 4*w - 5 = 0, -5*r + 5*w = -85. What is the remainder when r is divided by (-2)/v - (-34)/3?
10
Suppose u + 2*u = 132. Let a(l) = -l**2 + 11*l - 3. What is the remainder when u is divided by a(9)?
14
Let k = 41 - -3. Suppose 0 = -4*i + 72 + k. Calculate the remainder when 55 is divided by i.
26
Let h(j) = -14*j**3 - 2*j**2 - 3*j - 2. Let r = -4 - -6. Suppose -r = -s + 3. What is the remainder when h(-1) is divided by s?
3
Let c = 29 + -11. What is the remainder when c is divided by (-84)/(-70)*25/3?
8
Suppose 3*z - 66 = 2*b, 48 - 136 = -4*z + 5*b. Calculate the remainder when z is divided by 12.
10
Let w = -6 + 18. Let u = -13 + 15. Suppose -u*m = -5*m + 102. Calculate the remainder when m is divided by w.
10
Let i = 10 - 5. Suppose 9 = -2*d + i*d. Suppose 5*r - 2*o - 35 = 3*o, 3*r - 5 = -5*o. Calculate the remainder when r is divided by d.
2
Let f(o) = -4*o**3 - 3*o**2 + 2*o. Let s be f(1). Let p = s + 14. Calculate the remainder when 16 is divided by p.
7
Suppose -2*j = 2*b - 257 - 13, 0 = 5*j. What is the remainder when b is divided by 34?
33
Let l(a) = -a**3 - 13*a**2 - 23*a + 2. What is the remainder when 48 is divided by l(-11)?
9
Let r = -62 - -82. Calculate the remainder when 2/4 - 142/(-4) is divided by r.
16
Let l = 8 + -5. Suppose -2*t + l = -17. Calculate the remainder when 143/5 - 8/(-20) is divided by t.
9
Let v(f) be the first derivative of 2*f**3/3 + 3*f**2 + 1. Suppose -20 = 8*d - 3*d. Calculate the remainder when 22 is divided by v(d).
6
Let u(r) = -r**3 - 7*r**2 - 8*r - 7. What is the remainder when 10 is divided by u(-6)?
0
Suppose 2*w - 184 = -48. Let u = -46 + w. Suppose 5*o - 11 = 49. Calculate the remainder when u is divided by o.
10
Let i(j) = j**3 - 12*j**2 + 2*j - 6. What is the remainder when i(12) is divided by 10?
8
Let p = 30 - 13. What is the remainder when p is divided by 5?
2
Let f = -8 + 16. Suppose -5*t = 5*u - 90, -4*u + 2*t + 0*t + 90 = 0. Calculate the remainder when u is divided by f.
5
Suppose -p + 5*z + 1 - 10 = 0, p = -2*z - 2. Calculate the remainder when 88 is divided by -4 - (12/p + -31).
28
Let z = -6 - -13. Calculate the remainder when 6/((21/(-6))/(-7)) is divided by z.
5
Suppose -3*g - 2*t - 2*t + 34 = 0, 4*g = 5*t + 4. Let q(v) = 2*v**2 + v - 4. Let h(y) = y + 1. Let b be h(2). What is the remainder when q(b) is divided by g?
5
Let v = 76 + -3. What is the remainder when v is divided by 13?
8
Let c = -92 - -193. Let s = -60 + c. Calculate the remainder when s is divided by 21.
20
Suppose 0 = -5*t + t - 8. Calculate the remainder when -3 + 6/8 + 810/40 is divided by 3/t*(-28)/6.
4
Suppose 3*j = -j + 12. Let d(c) = -c - 2 + 0*c**2 - c**j - 5*c**2 - 2*c. What is the remainder when 25 is divided by d(-5)?
12
Let l = 0 + 9. What is the remainder when 15 is divided by l?
6
Suppose 0*p = -3*p + 12. Suppose 2*l - 4*d = 50, 122 = -0*l + p*l + 3*d. Suppose 0 = -2*m - 3*m + 80. Calculate the remainder when l is divided by m.
13
Suppose 0 = -p + 40 - 7. What is the remainder when 62 is divided by p?
29
Suppose -12 = -8*x + 4*x. Let d(b) = 7*b - 3. Let u = 157 - 104. Calculate the remainder when u is divided by d(x).
17
Suppose 2*t + 4 = -2*t. What is the remainder when (-1)/(2*t/20) is divided by 18/3*(2 + -1)?
4
Suppose -4*h = -12 - 8, 2*h - 680 = 5*y. Let n = y + 190. Let w = -34 + n. Calculate the remainder when w is divided by 8.
6
Calculate the remainder when 5*-6*52/(-39) is divided by 11.
7
Let u = 0 - -2. Suppose 2*w = -u*s + 44, 4*w + 70 = 4*s - w. Let x = 17 - 6. What is the remainder when s is divided by x?
9
Suppose 0 = 5*h - 5*v - 235, 4*h - 3*v - 174 = -6*v. What is the remainder when h is divided by 25?
20
Let s = 4 - 6. Let d = 5 + s. Calculate the remainder when 7 is divided by d.
1
Let q be -3 - (-2)/2*-15. Calculate the remainder when 292/3 + (-12)/q is divided by 33.
32
Suppose 4*j - 16 = 2*w, 5*j + 2*w = -0*w + 11. Suppose g = -0*b + j*b - 46, 4*b - 2*g = 60. What is the remainder when 46 is divided by b?
14
Suppose 5*i = 5*f - 140, -f + 78 = 2*f + 3*i. What is the remainder when f is divided by 16?
11
Let b = 261 + -44. Suppose 5*o - b = -42. What is the remainder when o is divided by 12?
11
What is the remainder when -4 + 234*(-2)/(-4) is divided by 40?
33
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