the remainder when 27 is divided by j.
7
Let v = -2494 - -2586. Calculate the remainder when 649 is divided by v.
5
Suppose -13*n + 60 = -5. Calculate the remainder when 25 is divided by n.
0
Let m = -39 - -41. Let b(q) = 15*q - 4. Calculate the remainder when 49 is divided by b(m).
23
Suppose -4*h + 7*h = -3. Let w(t) = 8*t**2 + t + 2. Suppose 0 = -4*f - 3*d + d + 16, 5*f = -3*d + 19. What is the remainder when w(h) is divided by f?
4
Suppose -2*m + 34 = -44. What is the remainder when 5/((-20)/(-464)) - 2 is divided by m?
36
Calculate the remainder when 27320/64 - 3/(-24) - 0 is divided by 27.
22
Suppose -19*c + 43 = -17*c + f, -2*f = -5*c + 112. What is the remainder when 63 is divided by c?
19
Let x(w) = -49*w**2 - w. Let c be x(1). Suppose 0 = -6*q + q + 415. Let y = q + c. Calculate the remainder when y is divided by 18.
15
Suppose -25 = 5*i, -2*t = -6*t - 4*i + 704. Calculate the remainder when t is divided by 37.
33
Let y(a) = -11*a + 150. Calculate the remainder when 57 is divided by y(12).
3
Let k be 3/(-2)*418/(-33). Suppose 0 = -0*j + j - k. Suppose x + 13 - 87 = 0. What is the remainder when x is divided by j?
17
Let o(y) = -y**3 + 4*y**2 - 5*y + 4. Let n be o(3). Let g be (-14)/(-4) - n/4. Calculate the remainder when 2/g + 121/2 is divided by 16.
13
Let s(i) be the second derivative of 17*i**3/6 - 9*i**2/2 + 10*i. Calculate the remainder when s(6) is divided by 19.
17
Let z = 1 + -28. Calculate the remainder when 61 is divided by 2/(-1 + z/(-48)*2).
13
Let s = 834 + -798. What is the remainder when 538 is divided by s?
34
Let b(f) = -2*f**3 - 9*f**2 + 2*f. Calculate the remainder when b(-6) is divided by 14.
12
Suppose -5*w - 7 = 4*r, -3*w + 63 = -4*r + 16. What is the remainder when (-4)/(-16) - 502/r is divided by 8?
7
What is the remainder when 79 is divided by 2378/174*(-1 - -4)?
38
Let l(h) be the third derivative of 5/12*h**4 + 2*h**3 + 1/60*h**5 + 0 + 0*h + 2*h**2. What is the remainder when l(-11) is divided by 13?
10
Let h = 14 + 1. Suppose 0 = 47*w - 12*w - 140. Calculate the remainder when h is divided by w.
3
Let i(d) = -56*d + 14. Let z be i(-4). Suppose -2*y = -0*y - 4*x - 116, 0 = 4*y - 2*x - z. What is the remainder when y is divided by 16?
12
Let s(n) = 64*n - 5. Suppose -w = -0*w + 2*b + 7, -2*b - 4 = 4*w. What is the remainder when s(w) is divided by 12?
11
Suppose -2*j + 0*j = -30. Let v = j + -15. Suppose v*x = 5*x - 30. Calculate the remainder when 10 is divided by x.
4
Let b = 406 - 364. Calculate the remainder when 248 is divided by b.
38
Suppose -i = 5, -22*f - 265 = -25*f + 5*i. What is the remainder when 170 is divided by f?
10
Suppose c - p - 6 = 0, -3*p + 0 = -4*c + 23. Suppose -5 = -2*m + m - 4*s, -m = -2*s - c. What is the remainder when 42 is divided by m?
2
Suppose 0 = 3*u - 7*u + 80. Suppose u = -3*r + 107. What is the remainder when r is divided by 6?
5
Suppose -2*z + 10 = -7*j + 2*j, 0 = j - 5*z + 25. Suppose 0 = 2*d - 2*o - 48, 6*d - 4*d + 5*o - 13 = j. Calculate the remainder when 94 is divided by d.
18
Let q(p) = p**2 + 1. Let v be (-18)/(-45) + 94/(-10). Let w(o) = -o - 4. Let z be w(v). Calculate the remainder when q(z) is divided by 14.
12
Suppose o - 4*c = 10, -11*o + 5*c - 72 = -13*o. What is the remainder when o is divided by 8?
2
What is the remainder when 277 is divided by -5 + (-1)/((-4)/(249 + -5))?
53
Suppose 0 = -14*l + 5*l - 378. Calculate the remainder when 106 is divided by (78/l + 1)/(2/(-42)).
16
Let o(d) be the second derivative of -d**5/20 - d**4/2 + d**2 + 2*d. Let c be o(-6). Let u = 10 - c. Calculate the remainder when 21 is divided by u.
5
Let c be (-35)/21*36/(-2). What is the remainder when 93 is divided by 10*3/(c/32)?
29
What is the remainder when 7/28 + (-2 - (-2022)/8) is divided by 85?
81
Suppose s = -2*s - 3*o + 36, -5*s + 3*o + 60 = 0. Suppose 16*a = s*a + 104. What is the remainder when 50 is divided by a?
24
Suppose -d - 3*j - 46 = -5*d, 0 = 2*d + j - 28. What is the remainder when 88 is divided by d?
10
Suppose 12*g + 300 = 16*g. What is the remainder when g is divided by 31?
13
Calculate the remainder when (69 - 2)/(1 + 9 + -9) is divided by 35.
32
Let f = -10 - 3. Let z = -10 - f. Suppose -5*o = 4*j - z, -7 = -4*o + 4*j + 17. What is the remainder when 8 is divided by o?
2
Let j be 25*-2*(-2)/(-4) + -2. Let h = 29 + j. What is the remainder when 6 is divided by h?
0
Let l = 3933 - 3924. Calculate the remainder when (6/(-5))/((-1)/20) is divided by l.
6
Suppose -36 = -4*j + 4*g, -6*j + 5*g + 39 = -2*j. What is the remainder when j is divided by 2?
0
Suppose -d + b + 5 = 0, 7*d - 2*d - 49 = -3*b. Suppose -5*j + 64 = -j. Suppose -j = m - 5*m. Calculate the remainder when d is divided by m.
0
Let z = 33 - 19. What is the remainder when z is divided by -20 + (-4)/20*-145?
5
Let q be 0/9*2/(-2). Suppose v + 66 = 2*v + 2*c, -4*v - 4*c = -256. What is the remainder when v is divided by 4 - q - (-14 - -5)?
10
Suppose -67 = -5*d + 28. Let t = 31 - d. What is the remainder when t is divided by 8?
4
Let i(h) = -11 + 7*h**2 + 0*h**2 + 3*h**2 - h**2 + h**3. What is the remainder when i(-8) is divided by 9?
8
Let b(p) = p - 3. Let a be b(6). Suppose 55 = 5*x + 4*n, -44 = -a*x - x - 4*n. What is the remainder when x is divided by 5?
1
Let a(n) be the second derivative of -1/2*n**4 - 3*n**2 - 3*n + 0 - n**3 - 1/20*n**5. What is the remainder when a(-6) is divided by 8?
6
Suppose -92*s = -95*s + 108. Suppose -y + 3*y + a - 15 = 0, 0 = 5*y + a - s. Calculate the remainder when 1/2 + (-46)/(-4) is divided by y.
5
Suppose -49 = 5*k - 124. Calculate the remainder when 448 is divided by k.
13
Let s(h) = h**2 - 7*h - 5. Let z be s(8). Suppose z*w = 4*w - 3*i - 2, 8 = -w + 5*i. What is the remainder when 98 is divided by w?
13
Suppose -3*l + 25 = -5*q, -3*q + 26 + 31 = 3*l. Calculate the remainder when 53 is divided by l.
8
Suppose 4*d - 96 = -4*q, 4*d + q = 5*d - 32. What is the remainder when 94 is divided by d?
10
Let o = -1938 - -2120. What is the remainder when o is divided by 22?
6
Let a(x) = -x**2 + 7*x + 15. Suppose 5*l - 20 = -6*n + n, -4*n - 5*l + 11 = 0. Let j be a(n). Calculate the remainder when 33 is divided by 1 + j - (-160)/8.
15
Suppose 7*a - 3*a - 20 = 0. Suppose -v = -3, 0 = -3*w - v - 19 + 79. Calculate the remainder when w is divided by a.
4
Let a(b) = -b**3 + 12*b**2 - 25*b + 5. What is the remainder when a(6) is divided by 44?
27
Suppose f + 38 = 98. Let s = f + -37. What is the remainder when s is divided by 1 + (-94)/(-8) - (-3)/12?
10
Let q = -369 - -443. Calculate the remainder when q is divided by 10.
4
Let s(m) = -1. Let u(t) = -4*t + 2. Let d(c) = 4*s(c) - u(c). Let i be d(-6). What is the remainder when 15 is divided by (-138)/i + 6/(-10)?
3
Suppose -156 = -12*q - 48. What is the remainder when 17 is divided by q?
8
Let o(k) = 3*k**2 - 3*k + 2. Suppose -8*v + 10 = -3*v. Calculate the remainder when o(v) is divided by 6.
2
Let b be ((-2)/(-10)*26)/(13/390). Let m = b + -89. Calculate the remainder when m is divided by 23.
21
Let r(x) = 66*x**2 - 39*x + 151. What is the remainder when r(4) is divided by 27?
25
Suppose 41*b - 14*b - 324 = 0. Calculate the remainder when 33 is divided by b.
9
Let k = -361 + 374. What is the remainder when 38 is divided by k?
12
Let b(g) = -2*g**3 - 7*g**2 - g - 7. Let y(z) = 217*z - 2806. What is the remainder when b(-5) is divided by y(13)?
13
Suppose 28 + 106 = 2*z. Let c = 84 - z. Calculate the remainder when c is divided by 9.
8
Let v = 8 + -43. Let b = v + 54. What is the remainder when 93 is divided by b?
17
Let m(z) = z**3 - 11*z**2 - 13*z + 3. Let v be m(12). Calculate the remainder when 3 is divided by (3/v)/((-3)/18).
1
Let a = 2 + -2. Suppose a = -n - 4*m + 7 + 18, 2*n + 5*m = 62. Calculate the remainder when n is divided by 12*(1 + 1) + -2.
19
Let w = -299 + 946. What is the remainder when w is divided by 161?
3
Let u(l) = -l**3 - 3*l**2 - 23*l - 25. Calculate the remainder when u(-6) is divided by 60.
41
Let x(g) = -g**2 - 4*g - 8. Let u be x(-4). Calculate the remainder when 29 is divided by 92/6 + u/24.
14
Let t = 9 - -3. Calculate the remainder when 214 is divided by t.
10
What is the remainder when 332 + (-12)/(60/(-35)) is divided by 19?
16
Let c(x) = -23*x + 534. What is the remainder when c(22)