Calculate the remainder when v is divided by 877.
3
Let j be 4/7 - -3*(-248)/(-168). Suppose 0 = -2*i - 8, -4*p - 2*i = -j*i - 120. What is the remainder when p is divided by 7?
6
Suppose 2*v - 96 = 4*r + 2, 4*r + 5*v + 91 = 0. Let x = r - -60. Let c = 53 - x. What is the remainder when 116 is divided by c?
14
Suppose 0 = 42*f + 7*f - 392. Suppose 5*y - 40 = -2*h, 0*y = -2*h + 5*y. What is the remainder when h is divided by f?
2
Let y(f) = 33*f - 5. Calculate the remainder when y(4) is divided by ((-10)/105*(-405)/9)/(25/210).
19
Let y(o) = -o**3 - 6*o**2 - 3*o + 7. Let c be y(-5). What is the remainder when 28 is divided by ((-3)/(-2))/(c*2/(-88))?
6
Let k(h) = 22*h - 1407. What is the remainder when k(93) is divided by 183?
90
Suppose 0 = 4*g + 29*m - 30*m - 2032, 1509 = 3*g + 3*m. What is the remainder when 1526 is divided by g?
5
Let d(h) = -h**2 - 17*h + 77. Calculate the remainder when (0 - 145/(-10))*20 is divided by d(-18).
54
Suppose -123*b = -140*b + 578. Let k = 148 + -20. What is the remainder when b is divided by k/7 + 6/(-21)?
16
Let z(p) = 22 - 78*p - 40*p - 66*p - 2 + 140*p. Calculate the remainder when 376 is divided by z(0).
16
Suppose -10*n + 54 = -16. Let a(s) = s**3 - 8*s**2 + 19*s - 74. What is the remainder when 189 is divided by a(n)?
9
Let z = -47 + 63. Calculate the remainder when (-2765)/(-60) + (-12)/144 is divided by z.
14
Let p be (-2)/9*-9*2. Suppose -4*a - 32*h = -35*h - 160, 5*a + p*h = 200. Let w = -39 + 60. Calculate the remainder when a is divided by w.
19
Suppose -58 = -4*j + 22. Let v be (-1 + 0)/(j/(-100)). Suppose -4*p = 2*h, -p = -2*p - v. What is the remainder when h is divided by 3?
1
Suppose -5*o = 3*p - 480, o + p = 33 + 65. What is the remainder when o is divided by 37?
19
Suppose 659*l + 2516 = 693*l. What is the remainder when 102 is divided by l?
28
Let t(i) = i**2 + 47*i + 489. Calculate the remainder when t(-8) is divided by 169.
8
Suppose 0 = -164*l + 168*l - 16. Suppose 5*f - o = 1, f = -l*o + o - 3. Suppose 102*p - 101*p - 7 = f. What is the remainder when p is divided by 4?
3
Let v(z) = -37*z**3 + z**2 + z + 1. Let j be v(-1). Let c = j - 33. Suppose -3*g - 1 = 4*h - 8, c*g + 5*h = 20. Calculate the remainder when 34 is divided by g.
7
Suppose -18258 = -299*b - 2276 + 23785. Calculate the remainder when 411 is divided by b.
12
Let b = -4468 - -5703. What is the remainder when b is divided by 7?
3
Suppose 0 = -15*m + 263 + 3052. Calculate the remainder when m is divided by 6.
5
Let o(n) = -2*n**2 - 14*n. Let d be o(-6). Suppose -2 = -f + d. Calculate the remainder when 1/(-3) - 37300/(-300) is divided by f.
12
Suppose 3060 + 4210 = 21*b - 1088. Calculate the remainder when b is divided by 181.
36
Let d be (-5 + -4 + 7)*-1. Suppose 4*g + 63 - 187 = 0. Calculate the remainder when g is divided by 22/d + -2*1.
4
Let o(c) = 527*c - 14731. Suppose g = -38 + 7. Let b = -18 - g. What is the remainder when o(28) is divided by b?
12
Let w = 9041 + -9029. What is the remainder when 17039 is divided by w?
11
Suppose -15 = -2*z - 3*h - 0*h, -z - 2*h = -10. Suppose -3*y + 4*v + 40 = z, 25 = 6*v - v. Let p = 4 + y. Calculate the remainder when 119 is divided by p.
23
Suppose -944 = -g - 44*b + 42*b, 0 = -4*g + b + 3740. Calculate the remainder when g is divided by 240.
216
Let r(z) = z**3 - 8*z**2 - 8*z - 9. Let m be r(9). Suppose 2*i = -i - 3, m = 3*s - 2*i - 125. What is the remainder when s is divided by 6?
5
Let l(d) be the first derivative of d**4/4 + 7*d**3/3 - 11*d + 76. Calculate the remainder when 62 is divided by l(-3).
12
Suppose 6*g - 76 - 362 = 0. Suppose 0 = -78*s + g*s + 455. Calculate the remainder when s is divided by (38/(-5))/((-2)/5).
15
Suppose -6*i - 38 = 1012. Let g = i - -194. Calculate the remainder when 112 is divided by g.
17
Let o(z) = -24*z + 4. Let v = 30 - 36. Let g be (6 - 4)/(4/v). What is the remainder when o(g) is divided by 11?
10
Let c(o) = 13*o - 70. Let y(l) = -l - 1. Let f(x) = -c(x) - 6*y(x). Calculate the remainder when 104 is divided by f(7).
23
Let n(w) = 114*w + 116. Let p be n(-6). Let j = p + 672. What is the remainder when j is divided by 2?
0
Suppose 2 = s, 0 = 5*f + 4*s + 40 + 12. Let g(p) = -p + 7. Suppose 0 = 4*i - 3*y - 301, 3*i - 154 = 2*y + 71. What is the remainder when i is divided by g(f)?
16
Let u(n) = n**3 + 8*n**2 + 10*n. Let q be u(-7). Let k = -27 - -43. Calculate the remainder when -5*(q/5 + -1) is divided by k.
10
Let z = -136 + 150. Suppose 5*h = 15, -19*h = -5*v - z*h + 40. Calculate the remainder when 31 is divided by v.
9
Let y(o) = -1015*o**3 - o**2 - 4*o - 4. Calculate the remainder when y(-1) is divided by 251.
10
Let v(n) = -3*n**2 - 56*n - 2. Let q(k) = -3*k**2 - 57*k - 2. Let h(f) = -4*q(f) + 3*v(f). Calculate the remainder when 8 is divided by h(-20).
0
Let m(s) = 170*s + 6416. Calculate the remainder when 626 is divided by m(-36).
34
Let v be 2 + 64/(-2) - 0. Let s = v + 44. Calculate the remainder when 54 is divided by s.
12
Let k be ((-88)/(-72) - (-4)/(-18))*1. What is the remainder when -39 + 41 + (k - -15) is divided by 6?
0
Suppose 0 = -3*n + 3*f + 131 + 40, 3*n + f - 167 = 0. Calculate the remainder when 1171 is divided by n.
51
Suppose 7*g - 63 - 308 = 0. Let f be 8/(-12) + 220/6. Let b = g - f. What is the remainder when 32 is divided by b?
15
Suppose -2*h - 75 = 133. Let a = h + 403. Calculate the remainder when a is divided by 50.
49
Suppose -2*m - 4 = 0, -m - 1 + 0 = -i. Let c(p) = -16*p - 122. What is the remainder when (-19)/((-54)/51 - i) is divided by c(-11)?
53
Suppose 0 = -5*q - 20 + 85. Let l be 5*(-2)/(-10) - (-22 - 1). Suppose -25*n = -l*n - 5. Calculate the remainder when q is divided by n.
3
Suppose 14*j - 21*j = -77. Suppose 3*l = -4*c - 85, -3*c - 61 = 4*l + 50. Let h = l - -65. Calculate the remainder when h is divided by j.
5
Suppose 5*r = 5*y - 810, 4*r + 7 = 19. Suppose 18 = y*b - 163*b. Calculate the remainder when 22 is divided by b.
4
Let h(o) = -4*o + 9. Let r = -35 - -33. Let g be r/(((-1)/(-6))/(4/16)). What is the remainder when 81 is divided by h(g)?
18
Let l = -24 + 56. Suppose 28*g = 39*g - 748. Let m = 127 - g. Calculate the remainder when m is divided by l.
27
Suppose -s - 80*s = -1134. Suppose -5*y - 20 = -3*v, 0 = -0*v + 3*v + 2*y - 13. Suppose -v*d + 0 = -25. Calculate the remainder when s is divided by d.
4
Suppose 10*h - 22*h = -48. Suppose w + h*k - 3*k = 81, 0 = k + 4. Let m = 73 + w. What is the remainder when m is divided by 40?
38
Suppose -5*z + 2*p - 1048 = 0, -5*p + 228 = 42*z - 43*z. Let t = z + 216. What is the remainder when 327 is divided by t?
7
Suppose -r + 3*a + 233 = 0, -4*a - 16 = -4. Calculate the remainder when r is divided by 39.
29
Let h(i) be the first derivative of -5*i**2 + 136*i - 235. What is the remainder when 77 is divided by h(13)?
5
Let n be 1*(-3)/12 - (-2)/8. Suppose 10*z + 40 = a + 13*z, -5*a + 4*z + 238 = n. What is the remainder when 1/(-1) + (227 - -1) is divided by a?
43
Suppose 131*p - 111 = 128*p. Suppose -10*n + 133 + p = 0. What is the remainder when n is divided by 7?
3
Suppose 167 + 74 = -13*q + 1346. What is the remainder when 421 is divided by q?
81
Let s(k) = -3*k + 6. Let c be s(-3). Suppose 5*g = i + 45, 0 = i - 4*i - c. Suppose -51 = -g*l + 5. What is the remainder when 31 is divided by l?
3
Let b = 24 - 36. Let x be (b - -8)*(-8 + 1). Suppose -x + 637 = 7*i. What is the remainder when i is divided by 18?
15
Let d = 484337 + -484234. Suppose 0 = 3*i + 9, 157 - 25 = 3*v + i. Calculate the remainder when d is divided by v.
13
Suppose 62*h - 54*h - 64 = 0. Let t = 17 - 9. What is the remainder when t is divided by h?
0
Suppose 97*i = 90*i - 35. What is the remainder when (-4)/(-20)*328 - (-3)/i is divided by 35?
30
Suppose 2*u + 6 = 0, -94 = -4*w + 99*u - 97*u. What is the remainder when 14782 is divided by w?
20
Suppose -63*z = -0*z + 1532 - 6005. What is the remainder when 162 is divided by z?
20
Let g(r) = -26*r**2 + 29*r + 24. Let j(c) = -40*c**2 + 44*c + 35. Let v(s) = -8*g(s) + 5*j(s). Calculate the remainder when v(-4) is divided by 15.
9
Suppose 250 = 5*q - 5*w, 4*q + w - 205 = -25. Let j = -93638 - -93644. Calculate the remainder when q is divided by j.
4
What is the remainder when 608 is divided by (-8176)/(-168)*(-1 - -4)?
