
4
Let w be (-4)/(-18) + (2 - (-6144)/54). Let x = -112 + w. Suppose p - h - 41 = 0, 0 = 2*p - x*p + 4*h + 86. What is the remainder when p is divided by 15?
9
Suppose -76 = -3*m - g, g - 5*g - 8 = 0. Let t(j) = j**2 - 19*j + 2. Let f be t(18). Let w = f + m. Calculate the remainder when w is divided by 6.
4
Let k be 3*((-220)/(-12) - -1). Suppose 62*b - k*b = 12. What is the remainder when 9 is divided by b?
0
Suppose -5*u - 1 = -26. Suppose -5*o + 4*p + p + 60 = 0, u*o + p - 84 = 0. Calculate the remainder when 59 is divided by o.
11
Let f = -2757 + 2769. Let w = 51 - 16. Calculate the remainder when w is divided by f.
11
Suppose 31 = 192*d - 191*d. Suppose -2*b - 5*w + 614 = 0, 17*b - 16*b = -4*w + 307. What is the remainder when b is divided by d?
28
Let r(b) = -116*b + 2607. Calculate the remainder when r(18) is divided by 129.
3
Let j = 23 + 3. Let g(m) = -m**2 - 10*m - 6. Let p be g(-10). Let w(u) = -19*u - 13. Calculate the remainder when w(p) is divided by j.
23
Let p(z) = -6 + 17 + 10*z + 2*z**2 - 29. Calculate the remainder when p(-9) is divided by 33.
21
Suppose z = 4*t + 168 + 12, 160 = z + t. What is the remainder when 169 is divided by z?
5
Calculate the remainder when 473 is divided by (11075/10)/5 + 40/16.
25
Let r(v) = -25*v**3 + 2*v**2 - v. Let n be r(2). Let a be (n/6)/(2/6). Let x = 123 + a. What is the remainder when 231 is divided by x?
23
Suppose 0 = 3*m + m + 5*f + 574, -415 = 3*m - 4*f. Let u be ((-11)/33)/((-1)/m). Let j = u + 75. Calculate the remainder when 109 is divided by j.
25
Let j(l) = 8*l**3 + l**2 - 1 + 7*l - 19*l + 8*l. What is the remainder when j(3) is divided by 12?
8
Let w = -231 - -280. What is the remainder when (8 - (8 - 4)) + w is divided by 9?
8
Let z(q) = 6*q - 36. Let x(p) = 24*p**2 + 2*p - 1. What is the remainder when x(-2) is divided by z(8)?
7
Let a = -1584 - -1599. Calculate the remainder when 379 is divided by a.
4
Let u = -85 - -89. Let i be (-2)/((-2 + -2)/u). Let j(m) = 10*m + 11. What is the remainder when 59 is divided by j(i)?
28
Suppose -23400 = -639*s + 51*s + 33048. Calculate the remainder when s is divided by 10.
6
Suppose 12 = a - 5*k, -a - 4*k - 281 = -302. What is the remainder when 28 is divided by a?
11
Calculate the remainder when (-24)/(-9)*(64 - 28) is divided by 4 - 2 - 36/((-9)/3).
12
Suppose 0 = 2*w - 13 - 1. Suppose -321 = -15*s + 609. Calculate the remainder when s is divided by w.
6
Let l(o) = o + 105. Suppose 4*i + 3*d - 224 = 0, -i + 3*d + 18 = -23. What is the remainder when l(0) is divided by i?
52
Let l(n) = -24*n + 103. Let x(s) = 22*s - 103. Let v(t) = 4*l(t) + 5*x(t). What is the remainder when 27 is divided by v(9)?
4
Let w = -52 - -55. Let z be (3*w/18)/(4/9680). Calculate the remainder when z/(-15)*(-9)/6 is divided by 31.
28
Let z(f) be the first derivative of 0*f**2 + 19*f + 1/3*f**3 + 25. What is the remainder when z(6) is divided by 19?
17
Let w = -6255 - -6620. What is the remainder when w is divided by 2?
1
What is the remainder when 1098 is divided by 34/3*15*(-21)/(-42)?
78
Suppose -2*u + 21025 = 27*u. What is the remainder when u is divided by (8/6)/(((-7)/7)/(-6))?
5
Let m(u) = -6*u - 15. What is the remainder when 261 is divided by m(-17)?
0
Suppose -24 = 4*g, -363*z - 114 = -367*z - 5*g. Calculate the remainder when 2986 is divided by z.
34
Let l(s) = -17*s**2 - 439*s + 135. What is the remainder when 7807 is divided by l(-26)?
55
Let m be (-3)/(3/2) - -8. Let a(x) = -x**3 + 8*x**2 - x - 55. Calculate the remainder when 6/(-4)*4*-7 is divided by a(m).
9
Suppose -278 = 2*b - 116. Let y = 1424 + -1501. Let a = y - b. What is the remainder when 21 is divided by a?
1
What is the remainder when 812 - -15 - ((-17)/(-17) + 1/(-1)) is divided by 83?
80
Let y(j) = 4*j**2 - 383*j - 836. Calculate the remainder when 412 is divided by y(98).
44
Suppose -5*m = -3*x - 92 - 30, 0 = -3*m + x + 74. Suppose 0 = -5*d + m, 4*d - 17 - 18 = -5*k. Calculate the remainder when 39 is divided by k.
0
Let q(t) = -113*t - 448. Let r be q(-4). Suppose -2*g = 5*p + 6 - 38, -76 = -4*g - r*p. What is the remainder when g is divided by (3 - (0 + -1))*4?
5
Suppose -a = 2*z - 2372, 114*z - 113*z - 2*a - 1166 = 0. What is the remainder when z is divided by 45?
12
Suppose -5*p - 15 = 0, -6*s + p + 83 = -4*s. Suppose 0*z - 793 = -4*v + z, -2*v + 401 = -5*z. What is the remainder when v is divided by s?
38
Suppose 21 + 33 = 18*f. Suppose -3*r + f*s + 3 = 0, 5*r + 2*s = -s + 37. Calculate the remainder when 34 is divided by r.
4
Suppose -1392*w - 264 = -1416*w + 48. Let f = 1 + 67. Suppose -2*a + 7*a = 0, 2*h - f = -5*a. Calculate the remainder when h is divided by w.
8
Let v = -11451 - -13080. Calculate the remainder when v is divided by 24.
21
Let s(b) = 82*b + 8416. What is the remainder when 162 is divided by s(-101)?
28
Let l(q) = 140*q**2 - 76*q + 36. What is the remainder when l(6) is divided by 17?
13
Let s(z) = -z**3 - 6*z**2 - 5*z + 21. Let c be s(-7). Suppose -247 = -8*f + c. Let m = 4 - -11. What is the remainder when f is divided by m?
14
Let t(y) = -21*y + 185. Let s be t(9). What is the remainder when 130*((-6)/s)/3*1 is divided by 23?
19
Let z(h) = 23*h + 421. What is the remainder when ((-22)/8)/(2/(-152)) is divided by z(-16)?
50
Let m(s) = -3*s**2 - 210*s - 229. What is the remainder when m(-65) is divided by 58?
50
Let p = 39207 + -39179. Calculate the remainder when 4646 is divided by p.
26
Suppose 4*m = 5*j + 475, 3*m - 4*j - 45 = 310. Calculate the remainder when 295 is divided by m.
45
Suppose -3*l = -4*w - 7, -25 = 3*l - 8*l. Suppose 111 = 5*b - 2*y, 5*y - 31 = -b + w. Suppose p - b = 31. Calculate the remainder when p is divided by 7.
5
Suppose 320*i + 2 = 321*i. Suppose 4*c - 2*c - s - 20 = 0, -i*s + 4 = 0. Calculate the remainder when 14 is divided by c.
3
Let x(n) = n**2 + 7*n - 6. Let y be x(-8). Suppose -7*r - 135 = -10*r. Calculate the remainder when r - y - -2 - (1 + -2) is divided by 25.
21
Suppose 6*t = -3028 + 3052. What is the remainder when 503 is divided by t?
3
Let o(y) = y**3 - 2*y**2 - 7*y - 1. Suppose 0 = 24*i - 14*i + 390. Let h = i + 49. What is the remainder when o(5) is divided by h?
9
Suppose 368*b + 125783 = 1237879. What is the remainder when b is divided by 108?
106
Let f = 4007 - 3808. Calculate the remainder when f is divided by 71.
57
Let l = 13604 - 13277. What is the remainder when l is divided by 216?
111
Let p(g) = 10*g**2 - 3*g - 3. Suppose 4*z = 12, 7*v + 32*z - 36*z = 317. What is the remainder when p(5) is divided by v?
44
Let c(l) = -4*l**3 - 595*l**2 + 147*l - 296. Let f be c(-149). Let p = 1 - -6. Suppose -p*z = -19 - f. What is the remainder when 13 is divided by z?
1
Let i = 2 + 9. Suppose 46*f - 35*f = 44. Suppose c - 217 = -5*v - 0*c, f*c = 5*v - 207. Calculate the remainder when v is divided by i.
10
Suppose 2*a - 76 = -2*l, -3*a + a = -3*l - 76. Suppose a*h + 1031 = 3387. Calculate the remainder when h is divided by 3.
2
Let l(w) = -5*w + 57. Let s be l(8). Suppose 27*p - 120 = s*p. Calculate the remainder when p is divided by 12.
0
Let c be 2*1*34/(-68). Calculate the remainder when 71 is divided by (-25 - -64) + c + -1.
34
Suppose 4*h = 7 + 49. Let g be 0/((-12)/8*-2). Suppose 8 + g = 2*k. Calculate the remainder when h is divided by k.
2
Let k(d) = 108*d - 313. Let y = -836 - -841. What is the remainder when k(y) is divided by 46?
43
Suppose -t + 14 = 2*a - 5*t, 5*a = t + 17. Suppose -4 = s - a*n, 0 = 2*s - s + 4*n + 32. Calculate the remainder when ((-81)/12)/(-3 - 44/s) is divided by 5.
2
Suppose q = -4*q + 4*y + 242, 2*q = -3*y + 106. Let o(z) = -1578*z - 7867. Calculate the remainder when q is divided by o(-5).
4
Let z(l) = -l + 69. Suppose -t + 228 = -4*s + 81, 4*t + 5*s - 609 = 0. Calculate the remainder when t is divided by z(30).
34
Suppose 3*x - 48*r + 47*r = 174, -3*r = 0. Calculate the remainder when x is divided by (-3)/(-6)*(-6 + 42).
4
Let s = 14143 - 13952. What is the remainder when 274 is divided by s?
83
Let g(v) = v**2 + 30*v + 279. What is the remainder when 105 is divided by g(-20)?
26
Let u = 3847 - 2818. Calculate the remainder when u is divided by 71.
35
Let u = 2072 - 1583. What is the remainder when u is divided by 148?
45
Suppose -3*d + v - 96 = 0, -2*v + 0*v = -2*d - 60. Let r 