.
11
Let m = -3 - -7. Suppose 16 = m*t + 2*w - 4, -15 = -3*t + 2*w. Suppose -4*i + 3*g + 17 = 0, 0 = -4*g - 1 + t. What is the remainder when 9 is divided by i?
4
Let q(x) = -26*x + 1. Let d be q(-1). Let h = -14 + d. Let m = -7 + 12. What is the remainder when h is divided by m?
3
Suppose -l + 3*l - r - 50 = 0, 2*l = -r + 54. Let a = -12 + l. Calculate the remainder when 27 is divided by a.
13
Suppose 3*o + 5*i = 341, 4*o - 4*i - 65 - 379 = 0. What is the remainder when o is divided by 29?
25
Calculate the remainder when 35 is divided by -3 - 810/(-42) - (-2)/(-7).
3
Calculate the remainder when (0 - 3)*(0 - 11) is divided by 13.
7
Suppose -u + 8 = -0*u. Let b = -6 - -2. Let d = -1 - b. Calculate the remainder when u is divided by d.
2
Let w be ((-6)/(-12))/((-2)/4). Let c(i) = -19*i**3 - 2*i**2 - i. Let d(u) = u**3 + 5*u**2 - 7*u. Calculate the remainder when d(-5) is divided by c(w).
17
Let s = -19 - -41. Suppose -s = -3*t + 8. Suppose 2*g = t, n - 19 = 2*g - 3*g. Calculate the remainder when n is divided by 8.
6
Let y be ((-6)/15)/((-1)/10). Suppose -4*s + 13 = -2*j + 3, 4*s + 20 = -y*j. Suppose s = -n + 7 + 14. Calculate the remainder when n is divided by 11.
10
Let l = 36 - 30. What is the remainder when 21 is divided by l?
3
Calculate the remainder when 14 is divided by 3/4 - (-51)/12.
4
Calculate the remainder when 135/3 - (-5 + 5) is divided by 16.
13
Let f = 73 + -52. Suppose -r - 5*t = f, 11*r - 6*r + 4*t = -21. Calculate the remainder when (2 + r)/(1/49) is divided by 17.
15
Suppose 5*g - 241 = -4*f, 3*g - f = -71 + 202. What is the remainder when g is divided by 14?
3
Let k(w) = 4*w - 2. Let v be k(1). Suppose -167 = -4*n + 5*i, 3*n + v*i + 3*i = 99. What is the remainder when n is divided by 10?
8
Suppose -o + 5*i - 17 = 0, 46 = 5*o + 2*i - 4. Calculate the remainder when 11 is divided by o.
3
Let m(q) = 2*q**2 + 9*q + 3. What is the remainder when m(-8) is divided by 12?
11
Let l(s) = -11*s. Let n(r) = r**2 - 6*r + 40. Calculate the remainder when n(0) is divided by l(-1).
7
Suppose -3*t = -3*a - 2*a - 112, 4*t - 2*a = 168. What is the remainder when t is divided by 15 + (-2 - -1) + 1?
14
Let d = 113 + -71. Suppose 10*i = 4*i + 66. Calculate the remainder when d is divided by i.
9
Let d = -43 + 99. What is the remainder when d is divided by 15?
11
Let d = -20 - -22. Suppose 4*y = 5 - 1. What is the remainder when d is divided by y?
0
Let s be (2 - 1) + (-1 - -8). Let c = s - 8. Suppose -d - l + 13 = c, -4*d = -2*l - 10 - 72. Calculate the remainder when 34 is divided by d.
16
Suppose 6*d - 45 = d + 2*z, 4*d + 2*z - 36 = 0. Let r = d - 2. What is the remainder when -1 + 2*9 + 2 is divided by r?
5
Let b = 11 + 1. Suppose 0 = -3*j + b, 0*j = 2*w - j - 8. Suppose 3*r + 6 = w*r. Calculate the remainder when 5 is divided by r.
1
Suppose 0*p - 3*p = -3*i + 75, i + 5 = -5*p. What is the remainder when 55 is divided by i?
15
Let b = 4 - 1. Suppose -3*n - 30 = -4*p + 46, 4*p = 2*n + 72. Calculate the remainder when b/((-12)/(-8)) + 45 is divided by p.
15
Let t = 2 + -1. Let o(i) = -2*i - t - 1 + 1. Calculate the remainder when 20 is divided by o(-4).
6
Suppose -5*l + 10*l - 185 = 0. Calculate the remainder when l is divided by 10.
7
Let n(m) = -m**2 + m + 19. Calculate the remainder when 48 is divided by n(4).
6
Suppose -7*s - 91 = -280. What is the remainder when s is divided by 14?
13
Suppose -h = 5*y - 1021, 0*h + 2*h = 2. Calculate the remainder when y is divided by 41.
40
Let j = -1 + 0. Let h(c) = -8*c**3 - 2*c**2 + 1. Calculate the remainder when 20 is divided by h(j).
6
Suppose 2*t - 8*t + 108 = 0. What is the remainder when 85 is divided by t?
13
Let y = 1 - -3. Suppose -y*v + 42 = 14. Calculate the remainder when v*-1*(-108)/14 is divided by 14.
12
Calculate the remainder when 101 is divided by (-4 + 0)*-1*39/12.
10
Suppose 2*a - 5*w = 74, -2*a - 3*a + 155 = -5*w. What is the remainder when a is divided by 7?
6
Calculate the remainder when 3*-4*3/(-18) is divided by 2/(2 - 3) + 3.
0
Suppose 23*u - 19*u - 68 = 0. Calculate the remainder when u is divided by 6.
5
Let y(a) = -a**3 - 5*a**2 - a + 9. Calculate the remainder when 26 is divided by y(-5).
12
Suppose 0 = 3*g - 7*g + 344. What is the remainder when g is divided by 11?
9
What is the remainder when (-20)/(-90) + 277/9 is divided by 17?
14
Let v = -6 + 4. Let w = 18 - v. Let f = -2 + 13. Calculate the remainder when w is divided by f.
9
Suppose 2*b - p + 4 - 9 = 0, -3 = b + 5*p. Suppose b*q = -4, 0*x - 34 = -2*x - 5*q. Calculate the remainder when x is divided by 12.
10
Suppose 2*a + a = -9. What is the remainder when 55 is divided by 3 + (a - -2)*-26?
26
Let r = 4 + -4. Suppose -f + 2*l + 4 = 0, 0 = -3*f - l + 5 - r. What is the remainder when 3 is divided by f?
1
Let p(q) = 244*q**2. Let f be p(-1). What is the remainder when f/10 - 4/10 is divided by 9?
6
What is the remainder when 1/2*574/7 is divided by 11?
8
What is the remainder when 32 is divided by 28/3 + 2 + (-20)/60?
10
Suppose 2 = -v + 12. What is the remainder when 19 is divided by v?
9
Let h = 0 - -1. Let g(r) = 4*r + 9. Calculate the remainder when g(3) is divided by ((-22)/(-6))/(h/3).
10
Let a(v) = -2 - 4*v + 2 - 3*v**2 - 2. Let g(p) = -10*p**2 - 12*p - 5. Let m(l) = -7*a(l) + 2*g(l). What is the remainder when 26 is divided by m(-5)?
8
Suppose 2*y - 21 = -3*d + 3, -4*d + 3*y = -15. Let m = d - 6. Suppose -3*f + 77 = h - 6*h, -5*f + h + 99 = m. Calculate the remainder when 36 is divided by f.
17
Let o(c) = -c**2 + 12*c - 24. Let h be o(10). Suppose -5*i + 80 = -i. What is the remainder when i*(-2 - (h - -1)) is divided by 7?
6
Let f(p) = -4*p**3 + p**2 - 2*p - 3. Calculate the remainder when f(-2) is divided by (14 + -4)*1 + 3.
11
Let s = -38 + 76. Let x(l) = -l**2 - 10*l - 6. Let m be x(-9). Suppose z - 3 - 2 = m*c, 5*z - 105 = -c. Calculate the remainder when s is divided by z.
18
Suppose h - 3*t - 16 = -0*t, 0 = 3*t + 3. Let l = h - -26. Suppose 0 = 4*r - 5*i - 51, -3*i = -2*r - r + l. Calculate the remainder when 25 is divided by r.
11
Calculate the remainder when 13*(-1 - 0)*3/(-3) is divided by 3.
1
Let f(d) = -3*d - 3. Let o be f(-3). Let q(h) = 2 + 4*h - o*h + 2. What is the remainder when 21 is divided by q(-4)?
9
Suppose -4*j - 354 = -x - x, -j - 87 = -x. What is the remainder when (j/(-25))/(1/5) is divided by 10?
8
Let o = -49 - -69. Calculate the remainder when 38 is divided by o.
18
Let d = -56 + 90. What is the remainder when 133 is divided by d?
31
Suppose 5*j = -5*f + 10, 2*f + 11 = 4*j - 9. Suppose -3*l = 2*w - 12, w + j = -3*l + 7. What is the remainder when 35 is divided by w?
8
Let z = 124 + -97. Suppose -a = -y + 11, -a + 23 = y + a. Calculate the remainder when z is divided by y.
12
Let o be ((-3)/((-12)/(-8)))/(-2). Calculate the remainder when 86 is divided by (132/18)/(o/3).
20
Suppose 0 = 12*o - 11*o - 7. What is the remainder when 12 is divided by o?
5
Let a = 20 - 16. Calculate the remainder when 10 is divided by a.
2
Suppose 0*v - 48 = 2*v. Let b = v + 41. What is the remainder when b is divided by (-4)/((12/9)/(-2))?
5
Let t(x) = x**3 + 2*x**2 - 2*x - 5. Let p(w) = -w**2 - 17*w - 42. Calculate the remainder when t(4) is divided by p(-10).
27
Suppose 6 = 4*t - 5*z, 7*t = 2*t - 3*z + 26. Calculate the remainder when t is divided by 3.
1
Let t = 11 - -51. Suppose -3*z + 2*z - 5*l = -1, 0 = -2*z + 3*l + 41. Calculate the remainder when t is divided by z.
14
Suppose -4*a - 3*j - 44 = -15, a - 4*j = -12. Let y = 5 - 3. Calculate the remainder when 100/16 + y/a is divided by 4.
2
Let a = -60 + 78. Calculate the remainder when 31 is divided by a.
13
Let f be (4/(-6))/((-4)/534). Let x = f - 53. Let r(o) = -18*o + 1. Calculate the remainder when x is divided by r(-1).
17
Suppose -5*s + a + 51 = 0, 3*s = 2*a + 16 + 9. Suppose -3*t + s = w - 22, 3*t = -5*w + 153. Calculate the remainder when w is divided by 11.
8
Suppose -60 = -4*j + 4*h, 4*j - h + 4*h = 25. What is the remainder when 19 is divided by j?
9
Suppose 7 = 3*j + n, 2 + 5 = j - 2*n. Let w(f) = -f**2 + 10*f + 2. Calculate the remainder when w(10) is divided by ((-2)/j)/((-4)/6).
0
Let v be 1/3 + (-46)/(-6). Let s(j) be the first derivative of -j**3/3 + 9*j**2/2 + 6*j + 1. Calculate the remainder when 27 is divided by s(v).
