d by 140/34 + z/51.
1
Let t = -2781 - -3343. What is the remainder when t is divided by 113?
110
Suppose 0 = -g + 8*g + 182. Let q = 33 + g. Suppose -q*l + 4 = -129. What is the remainder when 31 is divided by l?
12
Let q(o) = o**3 - 53*o**2 + 188*o - 89. What is the remainder when 8596 is divided by q(51)?
2
Let k(r) = -12*r**2 - r. Let l(b) = b + 2. Let c be l(-3). Let z be k(c). Let g = z - -26. Calculate the remainder when 58 is divided by g.
13
Let g(h) = 12*h**3 + 2*h**2 + 2*h. Let d be g(-1). Let a be 4532/6 - (-16)/d. Suppose 13*k - a = 104. What is the remainder when k is divided by 35?
31
Let a = -4130 + 4182. Calculate the remainder when 2700 is divided by a.
48
Suppose -225 = 20*z - 17*z. What is the remainder when 175 + (-25)/z*(-1 + 1) is divided by 63?
49
Suppose -71*r + 9043 = 13*r - 2633. Calculate the remainder when 698 is divided by r.
3
Let z = -5482 - -5612. Calculate the remainder when 406 is divided by z.
16
What is the remainder when (9*23/(-46))/((-2)/136) is divided by 14?
12
Suppose -2*o + 716 = 2*c, 4*o - 1788 = -7*c + 2*c. What is the remainder when c is divided by 71?
1
Let h be 6/10*(-1040)/(-156). Let t(w) = -3*w**2 + 24*w - 11. Calculate the remainder when t(h) is divided by -20*((-7)/4 - -1).
7
Let j(s) = s + 33. Let l be j(-26). Suppose l*d - 2889 = 233. What is the remainder when d is divided by 56?
54
Let o(v) = -56*v + 2872. What is the remainder when 765 is divided by o(51)?
13
Suppose 17 = -3*o - b, o + 0*o + 5*b + 1 = 0. Let c be ((-66)/55)/(o/(-20)). Calculate the remainder when 12*2*c*232/(-96) is divided by 59.
55
Let t = 7389 + -6909. Calculate the remainder when t is divided by 188.
104
Suppose 3*z - 3*h - 1394 = -z, 4*z = -5*h + 1410. What is the remainder when (-20)/z*-10*77 is divided by 30?
14
Let q(m) = -m**3 + 12*m**2 + 18*m - 62. Let w be q(13). Suppose 125 = w*s + 2*l, -s = -6*l + 4*l - 31. Calculate the remainder when s is divided by 21.
18
Let a = 12020 - 10330. Calculate the remainder when a is divided by 77.
73
Let k(n) = n**2 + 16*n + 11. What is the remainder when k(12) is divided by 13 - (0/2 - 1)?
11
Let u(q) = -q + 144 - 454 + q**2 + 236. Calculate the remainder when 62 is divided by u(-9).
14
Let z = -10320 + 10394. Calculate the remainder when 211 is divided by z.
63
Suppose 2*b = a - 37, -2*a + 3*b - 102 = -5*a. Suppose -r = -a + 7. Calculate the remainder when r is divided by 5.
3
Suppose -4*v = l - 85, -23*l - v - 593 = -28*l. Calculate the remainder when 341 is divided by l.
107
Suppose 11*l - 4*b + 2619 = 14*l, -4*b = 4*l - 3492. Calculate the remainder when l is divided by 148.
133
Suppose 117*w + 0*w - 1539369 = 0. What is the remainder when w is divided by 8?
5
Suppose 0 = 2*z - 3*h - 1935, 2*h - 1488 = -2*z + 442. Suppose 190*q + z = 196*q. Calculate the remainder when q is divided by 27.
26
Calculate the remainder when 193 is divided by (-84)/(-8)*(1/(-2))/((-42)/112).
11
Suppose 96 = 2*u - 4*q, 4*u = 5*u - 5*q - 57. Let x(i) = i + 7. Let k be x(-11). Calculate the remainder when u is divided by -1 - -21 - (-7 - k).
19
Suppose -4*b + 8*u = 4*u - 2036, -3*b + u = -1537. Let r = 742 - b. Calculate the remainder when r is divided by 33.
30
Let a = 65 + -47. What is the remainder when 1580 is divided by a?
14
Let w = -73 - -77. Suppose 0 = -5*g - 0*g + 5, 4*g = 4*t - w. Suppose -t*f = 3*p - 38, 5*f - 65 = -p - 4*p. Calculate the remainder when 48 is divided by p.
0
Suppose 7 = 2*n - 7. What is the remainder when ((-40)/(-12))/5 - 112/(-3) is divided by n?
3
Suppose -2*a + 130 = -4*r, -126 = -2*a - r + 29. What is the remainder when 4198 is divided by a?
73
Suppose -14*v = -6 - 8. What is the remainder when 70 is divided by ((-196)/16 - -7)*(v + -5)?
7
Calculate the remainder when (18 - -2)/(-3 - (-40)/12) is divided by 49.
11
Suppose 3*r + 245 = 5*q, 2*q + r + 48 - 146 = 0. Suppose w - q = -6*w. Let x = -254 - -295. What is the remainder when x is divided by w?
6
What is the remainder when 361 + 1 + 6/((-57)/19) is divided by 195?
165
Let v(i) = i**2 + 3*i + 1. Calculate the remainder when (-326)/(-2) + ((-312)/(-6) - 44) is divided by v(4).
26
Suppose 5*a + 8*a - 1394 = -4*y, 0 = 4*a + 4*y - 440. What is the remainder when 617 is divided by a?
87
Let g(h) = -8*h**2 + 10*h - 31. Let i be g(4). Let b = -62 - i. What is the remainder when b is divided by 1*(-40)/(-12)*3?
7
Suppose 3*m = -110 - 43. Let u = m + 109. Let y = 99 - 89. Calculate the remainder when u is divided by y.
8
Suppose 307*u = 274*u + 51645. What is the remainder when u is divided by 112?
109
Suppose 0 = -9*a + 19 + 8. Suppose a*r - d + 7 = -4, 5 = -5*r - d. What is the remainder when 19 is divided by (r/3)/((-20)/150) + 2?
5
Let d = -24 + 1. Calculate the remainder when -7 - -1 - (-116 - d) is divided by 2.
1
Let p(g) = g**3 + 8*g**2 + 10*g - 1. Suppose 4*y + 2*m + 22 = 0, 4*y = 7*y - m + 19. Calculate the remainder when 76 is divided by p(y).
10
Suppose -2*u + 5*u - 451 = 2*v, 0 = -2*u + 5*v + 286. Let n = 225295 - 225283. What is the remainder when u is divided by n?
9
Let q = 1287 + -1322. Suppose -5 = m + 3. Let r = m - q. Calculate the remainder when 50 is divided by r.
23
Let d = 40 - 36. Suppose 0 = -d*s - 2*r - 26, -2*s + 2*r = 4*r + 16. Let a = 50 + s. Calculate the remainder when 133 is divided by a.
43
Suppose 4*w + 164 = 4*a, 19*a - 22*a + 2*w + 125 = 0. What is the remainder when 386 is divided by a?
42
Let h be (1*-5)/(50/100). What is the remainder when 99 is divided by (-2)/(-5) - 3/h*22?
1
Let c(h) = -h**3 - 29*h**2 + 99*h + 4664. Let b = 115 - -813. Calculate the remainder when b is divided by c(-26).
60
Let x = -3333 + 3456. What is the remainder when x is divided by 54?
15
Let t = 4408 + -4323. Calculate the remainder when 1867 is divided by t.
82
Let v(r) = -3*r**3 - 12*r**2 + 19*r + 17. What is the remainder when v(-10) is divided by 7?
3
Let f(g) = 98*g - 565. What is the remainder when 1217 is divided by f(6)?
21
Suppose 4*k + 4 = h, -2*k + 0*h - 2 = -h. Let q(z) = -z**2 + 27*z - 31. Let o be q(26). Calculate the remainder when 7 is divided by (k - 1)*(5 - (o + 11)).
1
Let g = -19038 - -20563. Calculate the remainder when g is divided by 504.
13
Suppose 0 = -2*i + 4*o + 194, -4*i = -9*i + 4*o + 485. Suppose -2*a - 53 = -g + i, 0 = -4*g - 2*a + 560. Calculate the remainder when g is divided by 18.
16
Suppose 1 + 3 = 2*m. Suppose 81 + 79 = m*z. Calculate the remainder when z is divided by 17.
12
Suppose 156 = s + 2*k, -4*s + 0*s + 616 = 4*k. Let l = -17 + 31. What is the remainder when s is divided by l?
12
Calculate the remainder when (-2)/12 + (43814/9)/(596/447) is divided by 13.
11
Let i(j) = -11*j - 58*j - 8*j + 6. Let h(d) = d**2 + 56*d - 60. Let s be h(-57). What is the remainder when i(s) is divided by 40?
37
Suppose 0 = -4*a + 3*z + 17670, 5*a - 4*z - 8233 = 13854. What is the remainder when a is divided by 201?
198
What is the remainder when 3375 is divided by (-20)/(28/(-266) + (-12)/247)?
125
Let q = 19 - 30. Let j(d) = 7*d + 20. Let y be j(q). What is the remainder when ((-72)/14)/(y/266) is divided by 15?
9
Suppose -289*q - 22792 = -257749. What is the remainder when q is divided by 27?
3
Let h = 34 - -13. Suppose 2*x - x + 5*l = -7, 5*l - 25 = -5*x. Calculate the remainder when h is divided by x.
7
Let b = 26843 - 26012. Calculate the remainder when b is divided by 122.
99
Let z = 11 + 6. Suppose -y + 141 = 3*x, -4*y + 5*x + 495 = -35. Calculate the remainder when y is divided by z.
16
Suppose 0 = -3*z - 3*n - 306, 4 + 96 = -z - 2*n. Let p = z + 451. Calculate the remainder when p is divided by 32.
27
Suppose 4*i + 1 = -2*o + 7, 0 = -2*i + 4*o + 8. What is the remainder when 37 is divided by i/(((-72)/(-28))/9)?
2
Let v(k) = k**2 + 2*k + 20. Let p(u) = 160*u + 2317. What is the remainder when p(-8) is divided by v(0)?
17
Suppose 5*v - n - 18 = 0, 0 = 2*v - 2*n + n - 6. Suppose 16*w + v*w - 940 = 0. What is the remainder when w is divided by 13?
8
Calculate the remainder when 630 is divided by (63/(-147))/((-4)/(1 + 83)).
0
Suppose 2*u + 85 + 1021 = q, -2*u + 5470 = 5*q. What is the remainder when 1147 is divided by q?
51
Let j = 77 + -16. Suppose 0 = -3*o + 3, -j = -3*y + y - o. Suppose -18*h - y = -20*h. What is the remainder when 74 is divided by h?
14
Let i(u) =