be ((-12)/14)/(14/(-98)). Suppose -3*i + b + 0 = 0. Calculate the remainder when 74/14 + (-4)/14 is divided by i.
1
What is the remainder when 1113 + 0/6 + -3 - -4 is divided by 31?
29
Let v = 114 - 81. Suppose 4*g + 5*h - 64 = 4, 4*h = 5*g - 44. What is the remainder when v is divided by g?
9
Suppose -1072*u + 2040 = -1060*u. What is the remainder when u is divided by 9?
8
Let t(q) = 10*q**2 + 9*q - 20. Calculate the remainder when 94 is divided by t(2).
18
Let v(q) be the third derivative of q**6/120 - 7*q**5/30 + 7*q**3/6 - 10*q**2. Suppose g - 125 = -4*g. What is the remainder when g is divided by v(14)?
4
What is the remainder when 45 is divided by 590/50 + 4 + 2/10?
13
Suppose 3 = -4*x + 7, 1 = f - 3*x. Calculate the remainder when 30 is divided by 64/f - 4 - 1.
8
Suppose 31*p = 40 + 270. Calculate the remainder when 29 is divided by p.
9
Suppose -11 = 2*b - 9. Let t be ((3 + -8)/b)/1. Suppose t*s + 4 = 7*s. Calculate the remainder when 4 is divided by s.
0
Let r(z) = -z**3 - z. Let y(c) = 3*c**3 + 8*c**2 + 8*c + 5. Let t(p) = 2*r(p) + y(p). What is the remainder when t(-6) is divided by (-3 - (-2)/1) + 15?
13
What is the remainder when (-10051)/345*-5 - (-8)/6 is divided by 41?
24
Let y = 1 - -3. Let f = -4 + y. Suppose f = 5*m - 11 - 44. What is the remainder when 43 is divided by m?
10
Let m be ((-590)/6 + (-6)/9)/(-1). Suppose -m = -2*u - 7*u. Calculate the remainder when 17 is divided by u.
6
Suppose 109 = -4*d - 3*m, -3*m + 13 = -d + m. Calculate the remainder when 306/15*d/(-5) + -2 is divided by 26.
22
Suppose 24 = 3*k - k. Let o = 14 + k. Let h(r) = 2*r - 3. What is the remainder when o is divided by h(5)?
5
Let q = -69 + 146. Suppose 4*r + 2*l = 6*r - 2, 0 = 4*r + 3*l - 18. Suppose -r*b = -q + 29. Calculate the remainder when 62 is divided by b.
14
Suppose 0 = b + 3*b - 48. Let i = 10 + b. What is the remainder when (-2 + 45)*(-4 + 5) is divided by i?
21
Suppose -13*o + 7*o = 1086. Let p = 372 + o. What is the remainder when p is divided by 32?
31
Calculate the remainder when 30/(-20)*1956/(-18) is divided by 34.
27
Let p = 1168 - 1089. Let h(n) = -n**3 - 4*n**2 - 2*n + 1. Calculate the remainder when p is divided by h(-4).
7
Suppose -227 - 331 = -6*j. Suppose -j = -6*k + 105. Calculate the remainder when 95 is divided by k.
29
Suppose 4*c = 131 - 15. Suppose 0 = -5*g + 13*g - 1840. What is the remainder when g is divided by c?
27
Let s be ((-5)/(-3))/((-1)/(-3)). Suppose -18*g = -21*g + 18. Suppose 3*l = g, -s*l = -f - 2*l + 10. What is the remainder when f is divided by 9?
7
Let m be 39/(-3) + (-2)/(-2). Calculate the remainder when 51/m*4*-2 is divided by (-303)/505 - (-186)/10.
16
Let d be 128/12 - (-1 + (-6)/(-9)). Suppose -807 = -d*r + 1382. Calculate the remainder when r is divided by 50.
49
Let p(l) = -l**3 - 26*l**2 - 16*l + 230. Calculate the remainder when p(-25) is divided by 3/((-3)/1) - -2.
0
Let z = 155 + -126. Calculate the remainder when 2027 is divided by z.
26
Let c be (-1570)/30 - (-1)/3. What is the remainder when (-1 - -2) + (-1 - -71) is divided by (-6)/(-9) - c/3?
17
Suppose 5*x + 97 = 2*z, 38*x + 170 = 4*z + 36*x. What is the remainder when 104 is divided by z?
22
Let j = 53 - 25. Let k(q) = -q + 25. Let y be k(0). Suppose 5*s + 2*b = 40, -2*s + 4*b = 3*b - y. What is the remainder when j is divided by s?
8
Let a = 12019 - 12006. Calculate the remainder when a is divided by (2/4)/((-2)/(-44)).
2
Let w(n) = 7*n - 130. Calculate the remainder when 163 is divided by w(21).
10
Let r(z) = z**2 - 4*z. Let u be r(4). Suppose u*y + y - 7 = 5*v, -5*v + 21 = 3*y. Let n(p) = 3*p - 6. Calculate the remainder when n(8) is divided by y.
4
Suppose -8*l + k = -4*l - 217, 2*l - 104 = -4*k. What is the remainder when 265 is divided by l?
49
Let v be 4/6 - 26295/(-45). Suppose 17*y = 22*y - v. Calculate the remainder when y is divided by 20.
17
Let r = -1172 - -1207. Suppose -195 - 83 = -2*i. What is the remainder when i is divided by r?
34
Let t be -77 + 4/(-4) + 0. Let s = -37 - t. Calculate the remainder when s is divided by 15.
11
Let v = 598 + -585. Calculate the remainder when 30 is divided by v.
4
Suppose 0 = 3*b - 7 - 2. Suppose -b*h - 36 = -h. What is the remainder when 36 is divided by (-6 - h) + (-2)/(-2)?
10
Let s be 6 - (3 + -6)/(9/(-6)). What is the remainder when (0 + -1)*-8 + 2 is divided by 3 + (1 - -3 - s)?
1
Let q(u) = -28*u**3 + u**2 - u. Let t be q(1). Let z be -12*1/(8/t). Suppose -2*b - 2 = -z. What is the remainder when b is divided by 7?
6
Let g(n) = -4 + 2*n**2 - 8*n + 2 + 16 - n**2. What is the remainder when g(8) is divided by 3?
2
Suppose -3*v = -2*f - 186, -2*v = -6*v + f + 248. Calculate the remainder when v is divided by 29.
4
Let i(g) = -43*g - 8 + 28*g + 1. What is the remainder when i(-8) is divided by 23?
21
Let l(v) = 20*v**2 - 3*v - 3. Calculate the remainder when l(-2) is divided by 17.
15
Suppose 16*c - 20*c + 116 = 0. Calculate the remainder when 317 is divided by c.
27
Let t = 5289 + -5213. Suppose -2*y + 0*y = -40. Calculate the remainder when t is divided by y.
16
Suppose 3*d - 3*l = 27, 5*d + 3*l = 2*l + 39. Suppose -13*b + 36*b - 414 = 0. What is the remainder when b is divided by d?
2
Let s(h) be the first derivative of -2*h**3/3 + 5*h**2/2 + 6*h - 2. Let o be s(-4). Let g = o + 88. Calculate the remainder when g is divided by 16.
10
Suppose -31 = -3*u + 5. Let k(d) = 2*d**2 - 2 - d + 5 + 7*d. What is the remainder when k(-5) is divided by u?
11
Let t be 0/(2*(3 + -2)). Suppose t = -5*p - 0*p + 330. Suppose 2*v = 4*f - 74, 0 = -6*f + 4*f - v + 31. Calculate the remainder when p is divided by f.
15
Let t(j) = -10*j - 15. Let c be t(-6). Let k = 49 - c. Let d = 15 - 10. Calculate the remainder when d is divided by k.
1
Suppose 26*m - 85 - 97 = 0. Let b(o) = 5*o**2 + o + 1. What is the remainder when b(2) is divided by m?
2
Calculate the remainder when 2320/(-32)*-6*6/45 is divided by 12.
10
Suppose -159 = -2*p - 37. Calculate the remainder when p is divided by 27 - (3 + 3 + 0).
19
Let x(f) = f - 18. Let m be x(18). Suppose m = -4*t + 279 - 83. Calculate the remainder when t is divided by 25.
24
Suppose 5*f + 3*h = 30, f - 2*h + 12 = h. Let d(j) = -j**2 + 8*j - 5. Let u be d(7). What is the remainder when 13 is divided by u + f + -1 + 1?
3
Let c(y) = y**3 + 7*y**2 + 7*y + 5. Let p = -55 - -127. What is the remainder when p is divided by c(-4)?
22
Suppose 3*m - 28 = -10. Suppose -z = -4*z. Let j = z + m. What is the remainder when 23 is divided by j?
5
Let o(r) = 7*r - 8. Calculate the remainder when 283 is divided by o(8).
43
Suppose 5*r - 6 = 29. Suppose 3*l = r*l - 16. Suppose -u = -4 - l. Calculate the remainder when u is divided by 5.
3
Suppose -2*w - 12 = 2*g, -3*w + w + 2*g = 28. Let z be 70/(-3)*24/w. Suppose -z = -5*m + 3*m. What is the remainder when m is divided by 5?
3
Suppose -252 = -4*h + 4*w, -5*h + 13*w + 308 = 15*w. What is the remainder when h is divided by 17?
11
Let u(l) = -l**3 + 6*l**2 + l - 25. Let j be u(5). Let c = j - -53. Let x(d) = -d**2 - 9*d - 8. Calculate the remainder when c is divided by x(-6).
8
Let w(z) = -z**2 - 2*z + 85. Calculate the remainder when w(0) is divided by 49.
36
Suppose 5*z - w + 0*w - 52 = 0, 5 = z - 2*w. Let j = 24 + -48. Let p = j - -43. What is the remainder when p is divided by z?
8
Suppose 0 = -41*c + 37*c + 408. What is the remainder when c is divided by 21?
18
Let s(l) = 80*l - 84. What is the remainder when 252 is divided by s(2)?
24
Let m = 72 - 142. Let b = m + 115. Calculate the remainder when 133 is divided by b.
43
Let c = 52 - 45. Calculate the remainder when -1 + 2 + c*6/6 is divided by 2.
0
Let n = 360 - 232. What is the remainder when n is divided by 10?
8
Suppose 14*f = 10*f + 32. Calculate the remainder when 40 is divided by 11 - (f/1)/(-2).
10
Let s be (-15)/(-2) + 9/18. Let g = s - -45. What is the remainder when 208 is divided by g?
49
What is the remainder when (-87)/(-2)*(49 + -47) is divided by 23?
18
Let g(i) = 13*i**2 - 2*i + 39. What is the remainder when 2298 is divided by g(0)?
36
Suppose 0 = -4*i - f + 162, 2*i - f - 40 = 44. Calculate the remainder when 207 is divided by i.
2
Suppose 68*a - 62*a + 1242 = 0. Let h = -187 - a. Let k = 243 + -164. What is the remainder when k is divided by h?
19
