der when k is divided by 10.
7
Let x be (-2174)/6 - 54/81 - -3. What is the remainder when x/(-2) - (-12 + 10) is divided by 17?
12
Suppose -12*u + 24*u - 11*u - 105 = -4*c, 0 = 3*c. Calculate the remainder when 324 is divided by u.
9
Let d(g) = 37*g**2 - 14*g + 24. Let a(s) = 9*s - 52. Let p be a(6). Calculate the remainder when d(p) is divided by 30.
24
Let a = 474 - -306. What is the remainder when a is divided by (-97 - -61) + 40 + 5?
6
Calculate the remainder when ((-8416)/(-42) + 4 - (-14)/49)*9 is divided by 919.
4
Let j(d) = d**3 + 9*d**2 - 14*d - 103. Suppose -2*z = 3*z - 40. Calculate the remainder when j(-9) is divided by z.
7
Let o(d) = 52*d**2 - 70*d - 549. What is the remainder when o(-21) is divided by 24?
21
Let i = 38 + -35. Suppose -2*v = g - i*v - 148, 2*g = v + 297. Let n = g + -106. What is the remainder when n is divided by 9?
7
Suppose 10*c + 0*c - 140 = 0. Let m = 30 - c. Let p(s) = 6*s**2 + 5*s + 1. What is the remainder when p(-4) is divided by m?
13
Let j(l) = 6*l - 49. Let q be ((-398)/(-8))/(3/24). Suppose -2*x = 2*b - 280, 3*x - 5*b - 38 = q. What is the remainder when x is divided by j(13)?
26
Suppose -1207 = -u - 5*t, -5*u - 77*t = -73*t - 5909. Calculate the remainder when u is divided by 10.
7
Let b(y) = -y**2 + 7*y - 1. Let t be 2/4*90*(1 + 0). Suppose t + 15 = 10*c. What is the remainder when 18 is divided by b(c)?
3
Let k be ((-895)/(3 - -2) + 0)*-2. Let w = -355 + k. What is the remainder when 3 is divided by w?
0
Let g(x) = -11*x - 54. Suppose 67 = 8*t - 5*t + 5*m, -3*m - 70 = -2*t. Calculate the remainder when g(-10) is divided by t.
27
Let d(z) = 5*z**2 + 4*z + 3. Let b(n) = n**3 - 120*n**2 + 1390*n + 158. What is the remainder when d(4) is divided by b(107)?
48
Suppose -2077*h + 2090*h = 18993. What is the remainder when h is divided by 214?
177
Let h = 125 - 113. Suppose 6*k = -h + 480. Let p = 89 - k. Calculate the remainder when p is divided by 5.
1
Let o be 0 - -3 - 2*5/10. Suppose -o*i + 15 = i. Suppose 4*v = 5*p + 69, 0 = i*v + 2*p + p - 77. Calculate the remainder when 30 is divided by v.
14
Suppose 8143 = -29*v + 46*v. Let y = 484 - v. What is the remainder when 43 is divided by y?
3
Suppose 139387 = 104*r - 142869. Calculate the remainder when r is divided by 63.
5
Let y = 9 + -9. Let k(h) = h**2 + h - 1. Let v be k(y). Let x = v - -69. What is the remainder when x is divided by 23?
22
What is the remainder when (-66878)/(-49) - 78/91 is divided by 98?
90
Suppose -2*p - 6 = -34. Suppose 2*t + 0*n + 2*n = p, -t - 5 = -5*n. Calculate the remainder when (-3014)/(-242) - 135/660*(-16)/6 is divided by t.
3
Suppose -3*q + 4*p - 60 = -222, 3*q + 3*p - 183 = 0. Let f = q - 39. Let s = -23227 + 23263. Calculate the remainder when s is divided by f.
17
Let h(w) = -w**3 - 31*w**2 + w + 24. Let d be h(-31). Calculate the remainder when 13 is divided by (-444)/60 - d - 114/(-10).
2
Let l = 70 - 56. Let p be 12/(-63)*-66 + (-8)/l. Calculate the remainder when (68/p - 5)/((-4)/(-498)) is divided by 12.
11
Let l(x) = -x**2 + 6*x + 54. Let u be l(11). Calculate the remainder when u/((-5)/205*1) is divided by 2.
1
Let g(b) = b**3 + 12*b**2 - 6*b - 3. Let d(p) = 14*p**3 + 2*p**2 + 111*p - 113. Calculate the remainder when g(-6) is divided by d(1).
11
Let h be -1 + ((-39)/6)/((-17)/102). Suppose 25*o = h*o - 117. Suppose 2*s + 3*u = 58, -s + 4*u - 19 = -2*s. Calculate the remainder when s is divided by o.
8
Suppose -462 = 5*y + 493 - 1000. What is the remainder when 810 is divided by y?
0
Let r be -10 - ((-1 - 2) + (1 - 1)). Let u(z) = 3*z**2 - 3*z - 14. Calculate the remainder when u(r) is divided by 31.
30
Suppose -20176*b + 20137*b = -43953. Calculate the remainder when b is divided by 85.
22
Let i be 3*(2 + -1) - (-3 + 11). Let p(o) = -2*o**2 - 8*o - 14. Let q be p(i). Let n = q - -34. What is the remainder when 39 is divided by n?
9
Let v(x) = -1 + 27*x + 38*x**2 + 15 - 53*x**2 - x**3. Suppose 5 = r - 3*s - 13, -3*r + 2*s = -75. Calculate the remainder when v(-17) is divided by r.
25
Let a(x) = 3*x**3 - 5*x**2 + 3*x - 1. Let n(y) = 6*y**3 - 10*y**2 + 7*y - 3. Let z(s) = 5*a(s) - 2*n(s). Calculate the remainder when 8 is divided by z(2).
1
Let x = 769 + -766. Suppose -3*s + 119 = 46*u - 42*u, -3*u = x. Suppose -2*b - 650 = -0*l - 4*l, l - b = 164. Calculate the remainder when l is divided by s.
38
Let b = -812 + 824. Suppose 16*r = 13*r + b, -2*g = -5*r - 116. What is the remainder when g is divided by 24?
20
Suppose -332*x + 163*x + 2799 = -160*x. Calculate the remainder when x is divided by 53.
46
Let z = 8476 - 8347. Calculate the remainder when z is divided by 18.
3
Suppose 0 = m - 2*m. Let n(y) = -y**2 - y + 46. Let o be n(m). Suppose -42 = -8*s + o. What is the remainder when 17 is divided by s?
6
Let q = -2729 + 2739. What is the remainder when 1057 is divided by q?
7
Suppose 4*l + 4 = 5*u - 1, 0 = l - 2*u + 2. Let f(c) = 0 + l - 18*c - 5 + 6. What is the remainder when f(-2) is divided by 16?
5
Suppose 0 = -5*w - 4*i - 254, 3 = 3*i - 9. Let v = -49 - w. Suppose 0 = -0*x + x + 4*t - 21, -v*x + 3*t = -36. What is the remainder when 12 is divided by x?
3
Suppose q - 3*q - 980 = 0. What is the remainder when (q/(-35))/((-2)/(-10)) is divided by 12?
10
Suppose 0 = -29*g + 27*g - 4*q - 14, 30 = 5*g - 3*q. Suppose 2*h - 4*a - 24 = 0, -42 = -4*h - 4*a + 18. What is the remainder when -3 + 8/4 + h is divided by g?
1
Let a(k) = 31*k**2 - 23*k - 3. Let r = -8 + 20. What is the remainder when a(-1) is divided by (-4)/(-2) + 1*r?
9
What is the remainder when ((-6)/99)/1 + 1056804/4554 is divided by 21?
1
Suppose -4*x = q + 113, 28 - 94 = 3*x - 3*q. Calculate the remainder when 1*85 + -1*x/(-9) is divided by 14.
12
Let j be (-5)/5 + -5 - -346. Suppose b = 18*b - j. Calculate the remainder when 78 is divided by b.
18
Let q = 2 + 1. Let y = -916 + 919. Suppose -5*x + 187 = -2*l, -q*x - y*l = -2*l - 110. Calculate the remainder when x is divided by 10.
7
Let t(q) = -1311*q + 64. What is the remainder when 288 is divided by t(0)?
32
Let l(v) = v**3 - 29*v**2 - 22*v + 43. What is the remainder when 854 is divided by l(30)?
5
Let p(v) = -56*v**3 - v**2 + 1. Let x(j) = j. Let a be x(-1). What is the remainder when p(a) is divided by 14 - 12 - (0 + -13)?
11
Let a = 635 - 220. Calculate the remainder when a is divided by 60.
55
Suppose 0 = 2*b - 0*b + 3*f - 21, f = 5*b - 95. Suppose 1 = n - 2. What is the remainder when (2/(-6)*-2)/(2/b) is divided by n?
0
Suppose 35*x + 529259 = 529469. Suppose -2*n = -4*n - 4*k + 48, 22 = n + k. Calculate the remainder when n is divided by x.
2
Let h(v) = v**3 - 4*v**2 + v - 28. Let q be h(5). Let l(z) = -12*z**3 + 2*z**2 + 2. Calculate the remainder when l(-2) is divided by (-98)/(-4) - -3 - 1/q.
25
Suppose 6*r - 10*r + 4*t + 760 = 0, 5*r + 3*t - 958 = 0. Suppose 4*h - 45 = r. What is the remainder when h is divided by 32?
27
Suppose 14*s - 2543 - 3086 = 2365. What is the remainder when s is divided by 571?
0
Let z(f) = f**2 - 51*f + 116. What is the remainder when z(54) is divided by 101?
76
Let r(a) = -146*a + 30. Let y be r(-5). Suppose -4*h - y = 4*h. Let q = h - -120. What is the remainder when 69 is divided by q?
19
Suppose -5*p = 4*w, 0 = -4*w + 3*p - 0*p. Let n be -12 + 10/(2 - w). Calculate the remainder when 3924/12*(-2 - n/3) is divided by 14.
11
Let u = 823 + -722. What is the remainder when u is divided by 16?
5
Suppose -4*h = -3*b - 5052, 4*h = 232*b - 235*b + 5100. What is the remainder when h is divided by 91?
86
Let k = 229 - 160. Suppose -3*d = -5*w - 2493, 1 = 5*d - 4. What is the remainder when k is divided by w/(-36) - (-3)/18?
13
Let m(r) = r**2 + 27*r - 386. Let d be m(-37). Let t = 25 - -13. What is the remainder when t is divided by (-2 - d) + (-28 - -19)?
3
Suppose -7782 = -25*z - 5982. Calculate the remainder when z is divided by 0/(-4) + 23*1.
3
Let u(p) = 16*p**2. Suppose 4*g = -5*k + 3*k + 44, 4*k = -5*g + 64. Calculate the remainder when u(2) is divided by k.
4
Let w = -602 - -323. Suppose -305 = -16*k - 2385. Let n = k - w. What is the remainder when n is divided by 15?
14
Let f = 29307 + -29039. What is the remainder when 2953 is divided by f?
5
Let l = 500 - 433. What is the remainder when l is divided by 66?
1
Let h(c) = c**3 + 16*c**2 + 19*c + 36.