 when ((-11)/4)/((-1)/4) is divided by y.
5
Let k = 73 + -13. What is the remainder when k is divided by 21?
18
Suppose -35 = 2*d - 7*d. Suppose -i + 0 = -d. Suppose b + i = 2*b. Calculate the remainder when 20 is divided by b.
6
Suppose -4*n + 3 = -17. What is the remainder when n is divided by 3?
2
Suppose 4*c - 4*d + 112 = 0, -67 = 4*c + 2*d + 75. What is the remainder when 55 is divided by 8/20*(2 - c)?
13
Let m(a) = 0*a + a + 5*a. Let i(s) = 17*s - 1. What is the remainder when m(5) is divided by i(1)?
14
Let r = 4 + 0. Suppose -3 = -r*g + 177. What is the remainder when g is divided by 12?
9
Suppose 2*j = 3*q + j - 29, -5*q - 3*j = -25. Let t(a) = -3*a - 4. Let p be t(8). Let b = 42 + p. What is the remainder when b is divided by q?
6
Let i(q) = -q - 2 - 5 - 2*q**2 - 3*q**2 + 6*q**2. What is the remainder when i(6) is divided by 12?
11
Let x(t) = t**3 + 12*t**2 + 20*t + 5. Suppose -4*c - c + 120 = 0. Calculate the remainder when c is divided by x(-10).
4
Let x(t) = t**3 - t**2 - 5*t + 3. Let z be x(4). Let f = 48 - z. Suppose -15 - 35 = -5*k. Calculate the remainder when f is divided by k.
7
Let f = 22 + 19. What is the remainder when (2 - 3)/(-1)*f is divided by 14?
13
Let b = -11 - -11. Suppose 3*p - 5 = 16. Calculate the remainder when 21 - 3 - (0 - b) is divided by p.
4
Suppose 21 = 2*i - 9. Suppose 0 = -w - i + 4. Let o = w - -16. Calculate the remainder when 13 is divided by o.
3
Suppose 2*s = -2*d + 3*s + 169, 5*d - 2*s = 425. Suppose -5*h - 27 = -d. Calculate the remainder when h is divided by 7.
5
Suppose -z + 81 = 3*z - g, -3*z + 63 = -3*g. Let i(x) = x**3 + 4*x**2 - 4*x - 3. Let b be i(-5). Let y = -1 - b. Calculate the remainder when z is divided by y.
6
Let c(a) = -a**2 + 5*a + 3. Suppose -343 + 43 = -3*w. Suppose -5*g + 10*g = w. Calculate the remainder when g is divided by c(4).
6
Let a = -1 + -2. Let m(l) = l**2 + 5*l + 5. Let t be m(-4). Calculate the remainder when (t/2)/(a/(-126)) is divided by 11.
10
Suppose 3*u - 4 - 2 = 0. Suppose 3*q - u*q - 554 = 0. What is the remainder when 6/(-15) - q/(-10) is divided by 14?
13
Suppose -2 = c - 5. Suppose 0 = -2*l - 3*l + 4*h + 126, c*l - 73 = 5*h. Let i(q) = -q**3 - 3*q**2 + q + 2. Calculate the remainder when l is divided by i(-4).
12
Let g = 52 - 18. Calculate the remainder when 100 is divided by g.
32
Let o(q) = 26*q - 8. What is the remainder when o(2) is divided by 8?
4
Suppose -s = 4*s - 15. Suppose 2*d = b - 4, -4*b - 8 - s = d. What is the remainder when 10 is divided by 3 + b + (0 - -5)?
4
Suppose 69 = 5*j - 31. Calculate the remainder when 39 is divided by j.
19
Suppose 0 = -2*b - b + 159. Suppose -2*x + b = 3*w, 2*w - 5*x = -1 + 30. Calculate the remainder when w is divided by 6.
5
Suppose -4*g - 1 + 117 = 0. Suppose 79 = 10*z - 1. Calculate the remainder when g is divided by z.
5
Let t be 46/4 - 18/12. Suppose -3*s - 4*x + 2 = -2, -5*x = t. Suppose -8 + 29 = 3*o. Calculate the remainder when o is divided by s.
3
Suppose -2*l + 42 + 36 = -c, 5*l + 4*c = 182. What is the remainder when l is divided by ((-6)/9)/((-2)/60)?
18
Calculate the remainder when 34 is divided by 480/36 + 2/(-6).
8
Suppose 28*f = 31*f - 63. What is the remainder when 36 is divided by f?
15
Let a be 63 - -6*2/(-6). Suppose -36 = f - 2. Let t = a + f. What is the remainder when t is divided by 14?
13
Suppose -8*r = -2*r - 48. What is the remainder when 14 is divided by r?
6
Let b = -14 + 17. What is the remainder when b is divided by 2?
1
Suppose -3*b + 75 = -24. Suppose 0*f = 3*f - 3. What is the remainder when b is divided by f/(54/51 + -1)?
16
Let o(t) = -t**2 + 11*t - 13. Let f be o(9). Let q(b) = b**2 - b - 2. What is the remainder when q(f) is divided by 10?
8
Let a = 85 - 55. Let h(r) = 2*r**2 - 4*r - 5. Calculate the remainder when a is divided by h(4).
8
Suppose -5*z = -0*d + 5*d + 30, -3*z - 4*d - 14 = 0. Let c = z + 14. Calculate the remainder when 19 is divided by c.
3
Let q be (-16)/(-12)*(-3)/(-2). Let y be (q/(-4) + 0)*0. Suppose y = -5*j - w + 143, 5*j + 4*w = 74 + 63. What is the remainder when j is divided by 10?
9
Let p(r) = 3*r - 5. Let g(m) = m**2 - 5*m. Let a be g(6). Let q = 0 - -5. Calculate the remainder when p(a) is divided by q.
3
Let r = 67 + -44. Calculate the remainder when (-180 - 0)*(-3)/6 is divided by r.
21
Suppose 20 = -0*h + 2*h. Let n = -7 + 4. Let b(l) = -l**3 - 2*l**2 + l. Calculate the remainder when h is divided by b(n).
4
Let c = -8 + 45. Suppose 3*a = p + 1, 0 = -5*p + 3*a + 6 + c. What is the remainder when p is divided by 7?
4
Let a = 33 + -16. Let l(i) = -i**3 - 9*i**2 - 2*i - 6. Let h be l(-9). What is the remainder when 4/h*15*13 is divided by a?
14
Suppose 3 = 4*m - 13. Suppose -z + 8 = 2*r - 5*r, -2*r + 74 = 5*z. Calculate the remainder when (m - 6)*(-16 - 4) is divided by z.
12
Let z be 65/4 - (-5)/(-20). Let h = z + 13. Calculate the remainder when h is divided by 6.
5
Let f(v) = v + 18. Let y be f(-13). Suppose 2*h - 2*c - 10 = 0, y*h + 2 = c + 23. What is the remainder when h is divided by 2?
0
Suppose -3*q + 130 = -53. Calculate the remainder when q is divided by 16.
13
Let q(l) = 2*l**3 - 2*l**2 - l - 1. Let t(w) = w**3 + 6*w**2 + 4*w + 3. Calculate the remainder when t(-4) is divided by q(2).
4
Suppose 0 = 3*x - 9. Let s(t) = -8*t - t**2 + 14*t - x + 12. Calculate the remainder when 3 is divided by s(7).
1
Suppose 5 = -3*d + 26. Let a(x) be the third derivative of x**5/60 + x**4/6 - x**3/6 - 3*x**2. Calculate the remainder when a(3) is divided by d.
6
Suppose -q + 5 = 0, 0 = -2*j + q - 5*q - 40. Calculate the remainder when 38 is divided by (j/4)/((-9)/12).
8
Suppose 4*w - 5*t - 396 = -t, -2*t = -6. Suppose 4*m = -16, -5*k + 3*m - 5*m + w = 0. Calculate the remainder when k is divided by 8.
6
What is the remainder when 29 is divided by 52/78 + ((-80)/6)/(-1)?
1
Suppose 3*q - 2*q = 25. Calculate the remainder when 72 is divided by q.
22
Let i = -1 - -4. Suppose i*j - 141 = 7*r - 3*r, -j = 2*r - 47. Suppose 4*o + 84 = -0*g + 5*g, -5*g - 2*o + 78 = 0. What is the remainder when j is divided by g?
15
Suppose -20 = 8*r - 7*r. Let t = 0 + 8. What is the remainder when t is divided by (-3)/((24/r)/2)?
3
Let p = -21 - -7. Let t be p/(-4)*20/35. Suppose 3*v - 115 = 2*c, 4*v - t*c - c - 155 = 0. Calculate the remainder when v is divided by 12.
11
Let h(v) = 2*v + 5. Let z be h(6). Let i(m) = -2*m**3 + 3*m**2 - 1. Let q be i(-2). Suppose -4*r + q + z = 0. What is the remainder when r is divided by 4?
3
Suppose -u = 2*m - 11, 4*m - u + 13 - 50 = 0. Suppose 0 = -4*r + 16, -2*r - 11 = -3*o - 4*r. What is the remainder when 112/7 - (o - 0) is divided by m?
7
Suppose 5*y = y + 48. Calculate the remainder when 34 is divided by y.
10
Let s(r) = 4*r**2 + 17*r + 31. Let t(c) = 4*c**2 + 2 - c - 2*c - 5. Calculate the remainder when t(3) is divided by s(-2).
11
Let w(y) = -14*y. Let r = 3 - 6. Let x = -20 - -35. Calculate the remainder when w(r) is divided by x.
12
Let x be (-1 - 1)/(-8 - -6). Let c be (0 + x)*0/6. Let u = 2 - c. Calculate the remainder when u is divided by 1.
0
Let w(z) = -17*z - 17. Calculate the remainder when w(-4) is divided by 26.
25
Let v = -2 - -2. What is the remainder when -22*(v + 2/(-4)) is divided by 4?
3
Suppose -i + 10 = i. Suppose -q - 14 = i*a, -4*a - 1 - 6 = 5*q. Suppose -4*d + 140 = -4*x, 16 = -5*x + q. Calculate the remainder when d is divided by 11.
10
Suppose q - c - 3*c = 119, -119 = -q - c. Suppose -4*x + 7*x - 56 = -2*k, 0 = -5*k + 3*x + q. Calculate the remainder when 48 is divided by k.
23
Suppose -9*g = -18 - 99. What is the remainder when 62 is divided by g?
10
Let t(p) = -p + 2. Suppose 5*k - 3*k = 8. What is the remainder when t(-3) is divided by k?
1
Let a(t) = t**2 - 2*t. Let y be a(-5). Suppose 5*w + 5*k - 95 = k, 0 = 3*k - 15. Calculate the remainder when w is divided by (-1)/(-4) + y/4.
6
Let x(f) = 2*f**3 - 3*f + 2. Let v be x(2). Let i = 11 - 4. Let g = v - i. Calculate the remainder when 8 is divided by g.
3
Let z = -6 + 19. Let l = 392 + -273. Suppose 0 = 5*g - 3*f - l, 2*f - 4*f = -4*g + 96. What is the remainder when g is divided by z?
12
Let p = 27 + 2. Calculate the remainder when p is divided by 10.
9
Let i = 2 - 1. Let q = 5 - 9. Calculate the remainder when (q - -1*2)*-1 is divided by i.
0
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