er when f is divided by s.
16
Let n = -139 + 141. What is the remainder when ((-1128)/(-28))/(n - (-39)/(-21)) is divided by 57?
54
Let o(x) = -3*x - 7. Let z(q) = q**3 + 15*q**2 + 14*q - 10. Suppose m - 14 = 2*m. Let i be z(m). Calculate the remainder when o(i) is divided by 8.
7
Suppose -2*h - d + 42 = -3*d, 0 = -2*h - 2*d + 42. Calculate the remainder when 227 is divided by h.
17
Suppose 8*b + 19 = 51. Suppose b*n - 66 = 178. What is the remainder when n is divided by 16?
13
Let o(u) = -2*u**2 - 9*u - 8. Let n be o(-6). Let p = 19 - n. Suppose 4*j = 17*j - 156. Calculate the remainder when p is divided by j.
9
Suppose 317 = 5*q + 4*c, -122 - 125 = -4*q - c. Calculate the remainder when 364 is divided by q.
59
Let q = 1313 + -1214. What is the remainder when 206 is divided by q?
8
Calculate the remainder when -24*(-20)/(-400) - (-3442)/10 is divided by 118.
107
Suppose 0 = -5*m + 75 + 240. Let v = -848 + 881. Calculate the remainder when m is divided by v.
30
Let r(f) = -f**2 + 27*f - 83. What is the remainder when 194 is divided by r(14)?
95
Suppose -125 = -f - 4*f. Let o(z) = -3*z**2 - 7*z + 22. Let n be o(5). Let y = n + 101. Calculate the remainder when f is divided by y.
12
Let u = -9 + 144. What is the remainder when u is divided by 31?
11
Let d(a) = -a**2 + 23*a - 110. What is the remainder when 56 is divided by d(10)?
16
Let s(x) = -x**3 - 3*x**2 - 2*x - 3. Let a be s(-2). What is the remainder when a*4/(-18) + (-302)/(-6) is divided by 13?
12
Suppose -117*i = -137*i + 1700. What is the remainder when i is divided by 32?
21
Suppose -2*l + 171 + 79 = 4*f, 0 = 2*f + 4*l - 134. Suppose g = 5*a - 5, 0*g - 4*a + f = 3*g. What is the remainder when g*(20/(-6) + 4) is divided by 3?
1
Let p = 946 + -937. Suppose 0 = 3*x + k - 57 + 8, 5*x - 4*k = 59. Calculate the remainder when x is divided by p.
6
Let x(n) = 579*n**3 + 8*n**2 - 12*n + 4. What is the remainder when x(1) is divided by 29?
28
Let k = -23 + 24. Calculate the remainder when -3*3/27 - (-19)/3 is divided by k.
0
Suppose l = 11 - 3. Let r be ((-4)/6)/(22/231). What is the remainder when l - r - (-1)/(-1) is divided by 8?
6
Let g(n) be the second derivative of n**4/6 + 3*n**3/2 + 4*n**2 + 3*n. Suppose 0 = 113*r - 119*r + 294. Calculate the remainder when r is divided by g(-6).
23
Let d(r) = -2*r**3 - r**3 + 2*r**2 + 2 - r**3 + 3*r**3 + 5*r. Let n be d(4). Calculate the remainder when ((-5)/n)/((-2)/(-52)) is divided by 3.
1
Let r be (0/1)/((-1)/(-1)). Let p = r - -14. Suppose 26*f + 3926 = 177*f. Calculate the remainder when f is divided by p.
12
Let j(w) = 18*w**2 + 6*w + 11. What is the remainder when j(-3) is divided by 23?
17
Let h = 103 + -147. Let w = h + 104. What is the remainder when w is divided by 16?
12
Let y(r) = 5*r - 14. Let o(j) = 3*j**3 - 3*j**2 + 1. Let p be o(2). Let m be y(p). Suppose 0*f = f - m. Calculate the remainder when f is divided by 13.
12
Let l = 1507 - 604. Calculate the remainder when l is divided by 298.
9
Suppose -23*w + 26*w = 126. What is the remainder when 160 is divided by w?
34
Suppose 4*p - 7 - 13 = 0. Suppose -3*n + 12 = -0*n - b, 3*n = p*b. What is the remainder when 136/10 - (-4)/10 is divided by n?
4
Let q = -14 - 25. Suppose -26 = 5*b - 276. What is the remainder when b is divided by ((-169)/q)/((-2)/(-6))?
11
Suppose 3*l + 6 = 5*l. Let f be ((-152)/16)/((-1)/2). Let c = -14 + f. Calculate the remainder when c is divided by l.
2
Let h(u) = 4*u**2 - 149*u + 771. What is the remainder when 353 is divided by h(5)?
101
Let a(d) = -d**2 - 2*d + 8. Let v be a(-7). Let n = v - -32. What is the remainder when 7 is divided by n?
2
What is the remainder when ((-33)/(-3) + -1)*6477/255 is divided by 65?
59
Let b = 865 - 766. Calculate the remainder when b is divided by 20.
19
Let u(k) = -k**2 - 12*k - 11. Let r be u(-11). Suppose r = -9*p + 14*p - 30. What is the remainder when 16 is divided by p?
4
Let a(l) = 9*l - 7. Let h be a(8). Let o be -25*(0 + 1/(-1)). Let m = h - o. Calculate the remainder when m is divided by 21.
19
Suppose 141 = 6*g - 207. Calculate the remainder when g is divided by 33.
25
What is the remainder when 9 - 13 - (-170 + 1) is divided by 39?
9
Suppose 0*t - 5*t - 2*m = -62, t - 17 = -5*m. Let c be 19*-5 - (-10 - -10). Let p = -49 - c. What is the remainder when p is divided by t?
10
Suppose -785 = -4*s - 5*z, -4*s + 5*z + 797 = 6*z. What is the remainder when s is divided by 53?
41
Suppose -17*s = -167 - 105. What is the remainder when (-3)/(-1)*(-93)/(-9) is divided by s?
15
Suppose -q - 10 = -2*s + 3*q, -s + 19 = 5*q. Suppose -3*x = -5*z - 283, 7*x + 214 = s*x + 3*z. What is the remainder when x is divided by 52?
49
Suppose -3*g = g - 196. Let c(p) = 47*p - 91. What is the remainder when c(6) is divided by g?
44
Let p be (15 - 32) + 1*-1. What is the remainder when (-1371)/p + (28/24)/(-7) is divided by 20?
16
Let y(c) = 3*c**2 - 23*c - 84. What is the remainder when 863 is divided by y(12)?
71
Suppose 2*r = q + 1, 3*q = 2*r - 0 + 9. Suppose -g + 8 = 6. Suppose g*f + f = 6. What is the remainder when q is divided by f?
1
Calculate the remainder when 71 is divided by ((-234)/91)/((-4)/28).
17
Suppose 5*v - 5 = 5*h, -1 = -3*v + 4*h + 2. Let i(n) = 10*n**3 - 2*n + 2. Calculate the remainder when 97 is divided by i(v).
7
Suppose 4*s - q - q + 64 = 0, -4*q + 30 = -s. Let y = s - -31. Calculate the remainder when (-153)/(-5) + (-2)/(-5) is divided by y.
14
Let x be -1*6*1/(-2). Suppose 3*n - g = 2*g + 186, 0 = 5*n - g - 306. Suppose -x*v + 116 + n = 0. What is the remainder when v is divided by 15?
14
Suppose -5*o - 5 = 0, -q - o + 25 = -123. What is the remainder when q is divided by 38?
35
Let t(z) = 7*z. Let k be t(-1). Let b = k + 12. Let r = b - -40. What is the remainder when r is divided by 12?
9
Let b(l) be the second derivative of l**4/6 + 7*l**3/6 + 2*l**2 - 2*l. Let j be b(7). Let a = j - 98. What is the remainder when a is divided by 14?
11
Suppose 2*h - 21*h = -722. Calculate the remainder when 185 is divided by h.
33
Suppose -1675 = 163*s - 188*s. Calculate the remainder when s is divided by 66.
1
Suppose -5*d = 4*f - 257, 0*f - 4*d = 3*f - 192. What is the remainder when 881 is divided by f?
65
Let w = -8 - -14. Suppose 12 = 2*j - 2*c - 4, 28 = 5*j + c. What is the remainder when w is divided by j?
0
Suppose 37*k - 46*k = -108. Calculate the remainder when 65 is divided by k.
5
Let u be (6/2)/(-3)*-3. Calculate the remainder when 27 is divided by (u/(-4))/(4*3/(-96)).
3
Suppose 0 = 2*n - 4*n + 10. Suppose 3*l - 12 = -n*g, -l = -g + 4*g - 4. What is the remainder when 5 is divided by l?
1
Suppose 10*k = 8*k + 6. Let j be k/(2/12*3). Suppose 5 = l - q - j, -19 = -2*l + q. What is the remainder when 29 is divided by l?
5
Suppose 3*b - 238 = -5*n + 265, 2*n - 218 = 3*b. What is the remainder when n is divided by 49?
5
Suppose 4*w + 4*m = 912, -w - 4*w + 1150 = 3*m. Calculate the remainder when w is divided by 79.
75
What is the remainder when 879/4 - ((-357)/(-28) - 13) is divided by 57?
49
Let b = -48 - -74. Calculate the remainder when 181 is divided by b.
25
Suppose -4*p - 10 = 106. Let i = -23 - p. Let d = 54 - 33. Calculate the remainder when d is divided by i.
3
Let r(y) = y**2 - 4*y - 1. Let x be r(5). Suppose -n + 40 = 4*n - 5*b, -37 = -x*n + 5*b. Calculate the remainder when 14 is divided by n.
2
Let z(q) = q**2 + 5*q + 21. Let c be z(-10). Suppose -5*j + c = -s - 36, 0 = 2*j - 3*s - 35. Calculate the remainder when j is divided by 6.
4
Let q be (-450)/(-4) - 2/(-4). Let v = q - 32. What is the remainder when v is divided by 21?
18
Suppose 2*a = 10 - 6. Suppose -l + 4*i = -35, l + 5*i = -a*l + 71. What is the remainder when 52 is divided by l?
25
Let p = 28 - -34. Let i(j) = -j - 1. Let q be i(-4). Let f = q + 18. Calculate the remainder when p is divided by f.
20
What is the remainder when 477 is divided by 7 + -2 + 3/(-1) + 6?
5
Let a = 41 - 6. Let s(l) = 2*l**2 + 26*l - 41. What is the remainder when a is divided by s(-15)?
16
Suppose 5*a = -5*i + 3 + 2, 0 = -3*i - 2*a + 4. Suppose 0 = -2*j - 5*m - 9, -4*j + 3*m - 5 = -0*m. Calculate the remainder when (-12)/j - 6/2 is divided by i.
1
Let c(r) be the third derivative of r**4/3 + 21*r**3/2 - 6*r**2. Calculate the remainder when 22 is divided by c(-7).
1