the remainder when 91 is divided by (89 - -1) + -3 + 3?
1
Let u = 482 - 475. Calculate the remainder when 8 is divided by u.
1
What is the remainder when 90 is divided by ((-244)/(-20) - -3)/(2/5)?
14
Let c be 8/(-20) + (-34)/(-10). Calculate the remainder when (-1)/(-2)*(4 + 127 - c) is divided by 11.
9
Suppose 0 = -16*o + 537 + 39. Calculate the remainder when 129 is divided by o.
21
Suppose 3*i = -3*q + 27, -2*i - 5*q + 3 = -4*i. Let v = i - 1. What is the remainder when v is divided by 2?
1
Calculate the remainder when 55 is divided by -4*(-9 - 102/(-24)).
17
Suppose -5*f = -3*j - 65, -5*f = -5*j - 60 + 5. Let z = -2 - -5. Suppose -4*d + z*d + 9 = 0. Calculate the remainder when f is divided by d.
7
Suppose 94*r = 99*r - 360. Suppose 8 + r = 10*u. Calculate the remainder when 19 is divided by u.
3
Let g(b) = b + 39. Let u = -128 - -110. What is the remainder when g(u) is divided by 4?
1
Let g = 102 + -79. What is the remainder when 367 is divided by g?
22
Let g = 150 - 82. Let n = g + -44. Calculate the remainder when n is divided by 14.
10
Suppose 0 = -2*u + 4, 5*a = u + u + 86. What is the remainder when 0 - -1 - (a - 75) is divided by (-16 - -1)*(-2)/2?
13
Let j(w) = w**2 - 19*w - 285. Suppose 5*d = -x + 121, -2 = 2*x - 4. What is the remainder when j(-11) is divided by d?
21
Suppose 12*w - 16*w = 400. Let r = -85 - w. What is the remainder when 134 is divided by r?
14
Suppose -22*n = -26*n + 5596. Suppose 3*b - n = -355. What is the remainder when b is divided by 14?
12
Suppose -3*r = 22 - 220. Suppose -w = 5*a - 9, -31*w + 29*w + 3*a = -83. What is the remainder when r is divided by w?
32
Let v(u) = -u**3 + 60*u**2 + 16*u + 1 - 55*u**2 - 6. Calculate the remainder when 43 is divided by v(7).
7
Suppose 0 = 4*k + 3*s - 3352, 4493 = 4*k - 5*s + 1173. What is the remainder when k is divided by 11?
10
Let x = -42 + 80. Let u = 5 + -2. Suppose 4*l - z = 37, -z = -u*l - 3*z + 36. What is the remainder when x is divided by l?
8
Suppose 48*p - 2046 = 3090. Calculate the remainder when p is divided by 79.
28
Let y(x) = x**2 - 14*x + 36. Suppose -5*z + 51 = 2*j, -5*z + 64 = 4*j - j. Calculate the remainder when 61 is divided by y(j).
15
Let r(g) = g**3 - 6*g**2 + 8*g - 4. Suppose 0 = -19*o + 15*o + 16. Calculate the remainder when r(5) is divided by o.
3
Let a = -1183 + 1197. Calculate the remainder when ((-1)/(-2))/(1/78) is divided by a.
11
Let l = 34 - 20. Let v(z) = 2*z**3 + 141*z**2 - 70*z + 96. What is the remainder when v(-71) is divided by l?
11
Let k = 5 - 0. Suppose 2*j = k*z - 180, -53 = -3*z + z - 3*j. Calculate the remainder when z is divided by 12.
10
Suppose 4*w - q = q + 2, -4*w = -3*q - 5. Let b(h) = -27*h**3 + 2*h**2 + 4*h + 3. Calculate the remainder when 83 is divided by b(w).
27
Let j = -1 + -10. Let u = 13 + j. Suppose -4*d - u*s + 4*s = -238, 0 = d + 4*s - 55. What is the remainder when d is divided by 30?
29
Let k(q) = -q**3 - 24*q**2 - 49*q - 57. Calculate the remainder when 98 is divided by k(-22).
45
Let a be (-9)/(-3) + (-1)/(-1). Suppose -y = -2*p - 5*y + 82, -152 = -4*p - a*y. Let k = -27 + p. What is the remainder when 14 is divided by k?
6
Let w = 92 - 78. Calculate the remainder when ((-4)/(-8))/(-3*4/(-576)) is divided by w.
10
Suppose -5*u = 3*t - 65, -u + 3*u - 4*t = 26. Let l = u + 5. What is the remainder when 34 is divided by l?
16
Suppose h = 4*t + 12, 0 = 3*h - 5*t + 7*t - 78. Calculate the remainder when h is divided by 10.
4
Suppose -5*b = -10*b + 265. Let t = b + -23. Let o = -18 + t. Calculate the remainder when 22 is divided by o.
10
Let u(v) = 4*v**2 - 9*v - 28. Calculate the remainder when u(12) is divided by 26.
24
Suppose o + 5*o = 12. Suppose 0*q - q = 0, 0 = 4*z - o*q - 56. Suppose -2 = 2*c, -52 = -n + c - 2*c. What is the remainder when n is divided by z?
11
Let n(j) be the first derivative of -1/3*j**3 + j + 3 + 6*j**4 + 0*j**2. What is the remainder when 69 is divided by n(1)?
21
Let m = 805 - 762. What is the remainder when 170 is divided by m?
41
Suppose 415 = 6*k + 79. What is the remainder when k is divided by 24?
8
Suppose 0 = 6*h - 8*h + 258. Suppose 31 = -2*a + h. Calculate the remainder when a is divided by 13.
10
Suppose -2*z + 22 = 5*t, 51 = 3*z + 5*t + 8. What is the remainder when 69 is divided by z?
6
Suppose -5*h + 2 = 4*w - 72, 0 = -4*h + 4*w + 52. What is the remainder when 24 is divided by h?
10
Suppose 5*g = g - 2*n + 104, -5*n + 92 = 3*g. Calculate the remainder when 67 is divided by g.
19
Let x = -179 + 302. Let y = -96 + x. What is the remainder when y is divided by 4?
3
Let y(b) be the first derivative of -37*b**2/2 - 5*b - 17. Let c(v) = v**3 + 11*v**2 + 9*v + 4. What is the remainder when y(-2) is divided by c(-10)?
13
Suppose o + 2*y + 44 = 5*o, -4*y = -2*o + 22. What is the remainder when 262 is divided by o?
9
Let z(x) = 11*x - 9. Calculate the remainder when z(8) is divided by 3 - 1 - (-105)/7.
11
What is the remainder when 80 is divided by (-1)/(-6) - -465*7/126?
2
Let v(r) be the first derivative of -5*r**2 + 4 - 4*r - 1/3*r**3. Calculate the remainder when v(-7) is divided by 9.
8
Let f(d) = d + 79. Let c be f(-15). Let g = c + -62. Calculate the remainder when 7 is divided by g.
1
Let b = -19 + 32. Let w = 11 + -7. Suppose -w*n - 48 = -244. Calculate the remainder when n is divided by b.
10
Let o(l) be the third derivative of l**4/12 + 29*l**3/6 - 3*l**2. Let b(n) = 2*n**2 - 5*n - 2. Calculate the remainder when o(0) is divided by b(4).
9
Suppose -8 = -4*x - 3*r + 31, 4*x = 2*r + 34. Suppose s = 6*s + 25. Calculate the remainder when x is divided by s + 4 + -2 + 7.
1
Let x(d) = -3 - d - d**3 + 0*d**3 - 3 + 9*d**2 + 2*d**3. What is the remainder when 9 is divided by x(-9)?
0
Let z(m) = -m**2 - 3*m + 15. Suppose 6*j + 15 = 3*j. What is the remainder when z(j) is divided by 4?
1
Let k = 16 + -20. Suppose -3*m - 2*n + 151 = 0, m - 2*m - 5*n + 33 = 0. Calculate the remainder when -2 + k + 3 + m is divided by 18.
14
Let r(i) be the third derivative of i**4/24 + i**3/6 - i**2. Suppose 10 = 5*x, 44 = 4*o + o + 7*x. What is the remainder when r(6) is divided by o?
1
Let k be (-21)/(-28)*(-10 - -2). Let z = k + 8. Suppose -p - 3*p - 80 = -3*b, b + z*p = 30. Calculate the remainder when b is divided by 15.
13
Let j(u) = u + 2. Let c = -70 + 70. Suppose 2*p = -4, 5*f + c*p = 4*p + 68. Calculate the remainder when f is divided by j(5).
5
Let o = 302 + -268. Calculate the remainder when 41 is divided by o.
7
Let w = -2019 - -2042. Calculate the remainder when 779 is divided by w.
20
Let o be (-3 - 14/(-4))*(-786)/(-3). Suppose o - 5 = 9*t. What is the remainder when 38 is divided by t?
10
Suppose 7 + 1 = 4*k. Calculate the remainder when 53 is divided by k/((-3)/(-63)*3).
11
Let q(w) = 23*w**3 - 5*w**2 + 8*w - 8. What is the remainder when q(2) is divided by 29?
27
Let i = -24 - -29. Suppose -o - g = -92 + 5, 2*o - i*g - 195 = 0. Suppose 0 = 4*m - 72 - 52. What is the remainder when o is divided by m?
28
Suppose 3*f = -6*f + 90. Calculate the remainder when 79 is divided by f.
9
Suppose 38*m - 40*m = -42. Calculate the remainder when 100 is divided by m.
16
Suppose 3*l + 4*f = 124, -f = -2*f - 2. Let z = l + -18. Calculate the remainder when z is divided by 7.
5
Let a be 758/14 + 6/(-42). Suppose 8*z - 2*z - a = 0. Calculate the remainder when 32 is divided by z.
5
Let q = 291 + -179. Calculate the remainder when q is divided by 60.
52
What is the remainder when 2678/78*(-2)/((-2)/3) is divided by 10?
3
Suppose 0 = -n + 6*n - 25, 5*n - 23 = -p. Calculate the remainder when 4/p*(-2 + 9)*-1 is divided by 5.
4
Suppose 3*c - w = 929, 3*c + 2*c - 1547 = w. Calculate the remainder when c is divided by 24.
21
Let d = -515 - -564. Calculate the remainder when d is divided by 19.
11
Suppose 31 + 17 = -3*g. Let n = g + 49. Calculate the remainder when n is divided by 13.
7
Let q = -72 + 120. Let k = 64 - q. What is the remainder when 19 is divided by k?
3
Suppose -2*z - 5 - 55 = 0. Let g = z + 35. Suppose u + 73 = 4*s - 4*u, 2*u + 22 = s. What is the remainder when s is divided by g?
2
Suppose 22*d - 4536 = -6*d. Calculate the remainder when d is divided by 74.
14
Let u be ((-6)/(-8))/(1/212). Let q = 45 + -32. What is the remainder when -4 - u/(-3) - -1 is divided by q?
11
Let 