 remainder when 11 - 20 - (0 - 468) is divided by 46?
45
Let a(r) = -r**3 - 31*r**2 - 212*r - 229. What is the remainder when 1336 is divided by a(-25)?
15
Suppose -3*r = t - 11, -4*r + 3 = -4*t - 1. Suppose r*h = -2*q - 5, 2*q + h + 7 = -0*q. What is the remainder when 76 is divided by (1*-13)/(2/q)?
24
Let w = -176 - -191. Calculate the remainder when w is divided by 9.
6
Let v = -203 - -108. Let p = v + 107. Suppose -3*b - 5 = -17. Calculate the remainder when p is divided by b.
0
Suppose 129 = 6*g - 27. Let z = 396 - 249. Calculate the remainder when z is divided by g + (1 + 1 - 3).
22
What is the remainder when 1382 is divided by 15/(-6)*-43 + -27 + 212/8?
98
Let r be ((-22)/3)/((-42)/(-63)). Let f(x) = -x**3 - 9*x**2 + 18*x + 7. What is the remainder when 117 is divided by f(r)?
15
Suppose t = -3*d + 324, 539*d + 3*t = 535*d + 442. Calculate the remainder when 2538 is divided by d.
100
Suppose 179 = 5*q - 4*n, 6*q = 4*q - 6*n + 26. What is the remainder when 5358 is divided by q?
26
Let o = 3302 - 2893. Calculate the remainder when o is divided by 223.
186
Let j(h) = h + 11. Let v be j(-10). Suppose v = -3*u + y, -2*y - 3 = -5. Suppose -15*s + 19*s - 108 = u. What is the remainder when s is divided by 16?
11
Suppose -8*k = 7*k - 1287 + 12. Calculate the remainder when 848 is divided by k.
83
Let z(q) = 2 - 3*q**3 + 521*q - 520*q - 3*q**3 - 13*q**3. Let i be z(-1). Let w = 26 - i. Calculate the remainder when 15 is divided by w.
3
Calculate the remainder when (1*263)/(4 + 224/(-64)) is divided by 199.
128
Suppose 279 = 5*s - 8*u + 4*u, 2*u = -2*s + 126. Let d = 70 - s. Let g = 141 - 99. Calculate the remainder when g is divided by d.
9
Let w(y) = 21*y**2 - 11*y - 4*y - 13*y + 7*y - 5*y + 86. Calculate the remainder when w(4) is divided by 12.
6
Let j = -653 + 746. What is the remainder when 1766 is divided by j?
92
Let i = -5 - -10. Suppose 0 = 54*u - 58*u + 272. Suppose u + 2 = 5*t. What is the remainder when t is divided by i?
4
Let n(x) = -x**3 + 10*x**2 + 7*x - 7. Let p = 10 - 0. Suppose -3*u - 141 = 2*b - 6*b, 0 = 5*b - 5*u - 180. What is the remainder when n(p) is divided by b?
30
Let s(o) = o**3 - 2*o**2 + 1. Let u(k) = 3*k**2 + 16*k - 450. What is the remainder when s(7) is divided by u(-16)?
60
Let i(v) = v**3 + 11*v**2 + 2*v + 24. Let b be (22/3)/2*-3. Let h be i(b). Suppose 136 = h*p + 2*p. Calculate the remainder when p is divided by 12.
10
Suppose -9000 = -370*j - 5*j. What is the remainder when 1137/3 + (-9)/(-3) is divided by j?
22
Let q be (-8)/(-36) + (-16)/72. Suppose q = -4*u - c + 43, 57 = 5*u - 4*c + 2*c. What is the remainder when 38 is divided by u?
5
Let j = 1268 + -1113. Calculate the remainder when j is divided by 6.
5
Let i(c) = -c**3 + 109*c**2 + 3*c - 285. Let t = 341 + 120. What is the remainder when t is divided by i(109)?
41
Let q(j) = -j**2 + j - 1. Let c(p) = -2*p**2 - 81*p + 146. Let o(d) = c(d) - 4*q(d). Calculate the remainder when 187 is divided by o(41).
25
Suppose -3*z = y - 488, 3*z - 8*z - y = -814. Calculate the remainder when z is divided by 156.
7
Let w(n) = 2*n**3 - 18*n**2 + 3*n - 13. Let r(j) = 41*j - 114. Let v be r(3). What is the remainder when 18 is divided by w(v)?
4
Let m(p) = 261*p + 2098. Suppose -2*h + 4 = -l - 1, -11 = -4*h + 3*l. Suppose -h*j + 29 + 9 = 0. What is the remainder when j is divided by m(-8)?
9
Let i = -33 + 55. Calculate the remainder when ((-1001)/(-2))/7*(18 + (-22 - -6)) is divided by i.
11
Let v(d) = d**2 + 9*d + 4. Let y be (15/(-9))/(40/(-144)). Suppose -k - 6 = -2*r, -2*k - y*r = -2*r + 36. What is the remainder when 157 is divided by v(k)?
37
Suppose 49*p = 38*p + 253. Let n(k) = -7*k + 186. Calculate the remainder when 137 is divided by n(p).
12
Suppose -4*x + 3*q = 2, 4 = -4*x + 3*q - q. Let k(w) = -17*w - 17. Calculate the remainder when k(x) is divided by 10.
7
Suppose -4*q = -31*q - 12744. Let p = q - -500. What is the remainder when p is divided by 20?
8
Let r(y) = -6*y**2 + 50*y - 13. What is the remainder when r(7) is divided by 7?
1
Suppose 2*o - 48 = -4*g, o = 4*g + 8 - 50. Suppose -3*i + i + 112 = 4*f, -4*i = 3*f - 79. Calculate the remainder when f is divided by g.
7
Let h(j) = j**3 - 14*j**2 - 33*j + 311. What is the remainder when 3401 is divided by h(15)?
39
Let k = -13804 + 13829. What is the remainder when 60 is divided by k?
10
Suppose -71*k + 41843 = 8899. Let l = -15 + 3. What is the remainder when ((-6)/4)/1*k/l is divided by 13?
6
What is the remainder when (-8)/(2 + -1) + 61803/109 is divided by 249?
61
Suppose 5*c - 72 = -3*c. Suppose -9*j = g - 77, -5*j - 145 = -5*g - 2*j. Calculate the remainder when g is divided by c.
5
Let n(o) = -o**3 + 3*o + 4. Let k be n(2). Suppose 0*c - 3*c - 810 = -3*v, k*v - 5*c = 546. Calculate the remainder when v is divided by 68.
64
Suppose 596*z + 558376 = 655*z. What is the remainder when z is divided by 17?
12
Suppose 3*a = -4*d + 483, -8*d + 3*d + 597 = -3*a. Calculate the remainder when d is divided by 202/18 + 5 + 188/(-36).
10
Let k(v) = 17*v - 3. Let i(y) = y**3 - 23*y**2 + 8*y - 20. What is the remainder when i(23) is divided by k(1)?
10
Suppose 148*z = 157*z - 11214. Suppose 0 = -1248*k + z*k + 18. What is the remainder when k is divided by 5?
4
Let n(x) = 24*x - 1. What is the remainder when n(4) is divided by ((-41)/((-7380)/1350))/((-3)/(-10))?
20
Suppose 3*f - 4*s + 20 = 0, -3*f - 44 = -0*s + 2*s. Let y = f - -17. Let d = 63 + y. What is the remainder when d is divided by 7?
5
Suppose -5*x = -g - 1620, -4*g - 600 = -4*x + 696. Calculate the remainder when x is divided by 116.
92
Let j(a) = -11*a**2 + 8*a - 7. Let u be j(1). Calculate the remainder when (2/(-6))/((-12 - u)/378) is divided by 4.
3
Suppose 34*g - 9102 - 1608 = 0. Calculate the remainder when 347 is divided by g.
32
Suppose 2*i + f = 1054, -1155 = -2*i + 4*f - 81. Calculate the remainder when i is divided by 59.
57
Suppose -8*g - 186 + 210 = 0. Calculate the remainder when -10*((-5)/(-2) - 3) + -1 is divided by g.
1
Suppose 95*i - 572 = 1423. What is the remainder when 98 is divided by i?
14
Let q = -2386 + 2401. Calculate the remainder when 71 is divided by q.
11
Let c(w) = 98*w + 292. Calculate the remainder when c(8) is divided by 20.
16
Suppose -548 = -b - 488. What is the remainder when 8 + -1 + 2700/b is divided by 6?
4
Suppose -1873 = -27*v - 901. What is the remainder when 210 is divided by v?
30
Let g = 8 + -47. Let b = -36 - g. Suppose -b*x = t - 18, 4 + 0 = 2*x - 2*t. Calculate the remainder when x is divided by 3.
2
Let z = 59 + -55. What is the remainder when z - (0 + -1 - 22) is divided by 16?
11
Let t be 3/(((-6)/(-116))/(-1)). Let n = 111 + t. Suppose -206*a = -239*a + 363. What is the remainder when n is divided by a?
9
Let m be (-7 - -8)*(-11)/11. What is the remainder when 66 is divided by (4 - -4) + m + 19?
14
Let y = 16036 + -16015. Calculate the remainder when 2321 is divided by y.
11
Let m(b) = 77*b**2 - 2*b - 1. Suppose -45*k = 5*k - 131950. Suppose -2719 = -4*h - k. Calculate the remainder when m(-1) is divided by h.
18
Suppose 0 = 7*r + 2*w - 1481, 0*r - 2*r + 2*w = -436. Calculate the remainder when r is divided by 32.
21
What is the remainder when (-1110)/4*(-3132)/290 is divided by 25?
22
Let z(t) = -59*t - 876. Let p be z(-16). Let v be (-80 + -1*2)/(-1). Let b = v - p. What is the remainder when 41 is divided by b?
13
Suppose 0 = 791*c - 642*c - 15794. Calculate the remainder when 558 is divided by c.
28
Let c be 22428/63 - (-6 + 0). What is the remainder when (6 - (17 - 10))/((-2)/c) is divided by 26?
25
Let t(n) = 45*n**3 - 2*n + 2. Suppose 0 = 7*y - 153 + 146. What is the remainder when t(y) is divided by 25?
20
Suppose 0 = -5*n, 2*g - 4*n = -2*n + 64. Let z = 7281 + -7263. Calculate the remainder when g is divided by z.
14
Let a(l) = -2*l + 11. Let b be (4 - (-130)/4) + 6/4. Let j = 44 - b. Calculate the remainder when a(-7) is divided by j.
1
Let l be 411/(-9) + (-4)/(4 - -8). Let j = 84 + l. Calculate the remainder when 92 is divided by j.
16
Suppose 2*t + 30 = 2*c, -3*t = 3*c + 20 - 77. Suppose k = 7 + 14. Suppose 0 = k*x - c*x - 312. Calculate the remainder when x is divided by 20.
18
What is the remainder when 280 is divided by (2 - 21/6)/((-120)/21920)?
6
Let k = -926 - -958. Calcul