c. What is the remainder when l(10) is divided by 27?
19
Let m(u) = -21*u + 150. Calculate the remainder when m(-4) is divided by 123.
111
Suppose 5*b + 3*b = -4*b. Suppose 48*o - 604 - 1028 = b. Calculate the remainder when o is divided by 6.
4
Suppose 0 = -q - 4*b + 584, 7*q = 8*q + 5*b - 583. Let n = q - 461. Calculate the remainder when n is divided by 13.
10
Let h = 340 + -290. Let q = -1591 - -2039. Calculate the remainder when q is divided by h.
48
Let m be (-12)/6 + 1*2. Suppose m*b - 393 = -2*v + b, 2*v + 4*b - 368 = 0. Suppose -5*p - 29 = -v. Calculate the remainder when p is divided by 7.
5
Let l = 514 - 375. Suppose l*t + 21 = 141*t - y, -11 = -2*t + 3*y. What is the remainder when 116 is divided by t?
12
Suppose 0 = -3*y + 4*j + 901 + 388, y + j = 432. What is the remainder when 1729 is divided by y?
5
Suppose 0 = -2*s + 6*s + 8. Calculate the remainder when 26 + 4 - (2 + s) is divided by 174/11 + 36/198.
14
Suppose -76 = -3*s + 20. Let g = s + -32. Suppose -3*r - 2*q + 17 + 45 = g, -38 = -2*r - 3*q. What is the remainder when r is divided by 6?
4
Let h = 45811 - 45807. What is the remainder when 954 is divided by h?
2
Let o = -5393 + 5774. Calculate the remainder when o is divided by 70.
31
Let v be (1 - (3 - 2))/1. Suppose -j + 0*n = 3*n - 33, v = 3*j - 3*n - 87. What is the remainder when -2 - ((-179)/3 - (-31)/(-93)) is divided by j?
28
Let d be ((-54)/45)/(4/(-10) + 0). Let h(q) = q**3 + q**2 + 4*q + 1. Let c be h(d). Suppose c*b = 46*b + 117. Calculate the remainder when b is divided by 11.
6
Suppose 2*g - q = 8, -2*q = 4*g - 7 - 1. Suppose -3*n = -3*h - 171, 2*n + g*h = -n + 141. Let l = -33 - -47. What is the remainder when n is divided by l?
10
Let l = 1364 - 1240. What is the remainder when 369 is divided by l?
121
Suppose 5*y + 2*l + 11 = -11, -2*y = 3*l + 11. Let r(d) = 2*d**2 + 2*d - 2. Calculate the remainder when r(-2) is divided by y - (-2 - (4 + -2 - -1)).
0
Let v = 6744 + -6657. Calculate the remainder when 243 is divided by v.
69
Calculate the remainder when 6600 is divided by (9/(-21))/((-165)/35805).
90
Let y = -6995 + 7941. What is the remainder when y is divided by 17?
11
Let t be ((0 - -2)/(-2))/((-2)/(-6)). What is the remainder when (t - 21/(-9))/(1/(-78)) is divided by 28?
24
Suppose -5*q - 30 = -u, -599 + 284 = -6*u + 3*q. What is the remainder when 1081 is divided by u?
36
Let r = 81 + -97. Let d be (7/((-84)/r))/(3/9). Let w(a) = -a**3 + 7*a**2 - 7*a - 4. What is the remainder when 76 is divided by w(d)?
12
Suppose 7*g - 408 = 3*g - 2*n, 0 = -2*g + 5*n + 168. Calculate the remainder when 3265 is divided by g.
97
Suppose -13*p = -37*p + 16*p + 960. Calculate the remainder when 222 is divided by p.
102
Let o(y) = 1 - 2*y**2 + 5*y**3 + 0*y**3 - y + 3*y**2. Let d(a) = 56*a + 562. What is the remainder when d(-7) is divided by o(2)?
41
Suppose -5*y = -2*g + 68, 2*g + 37*y = 43*y + 74. What is the remainder when 338 is divided by g?
15
Let h(o) be the first derivative of -o**4/4 - 11*o**3/3 - 25*o**2/2 + 47*o + 220. What is the remainder when h(-9) is divided by 48?
14
Let g(b) = -b**3 - 8*b**2 + 8*b + 9. Let y be 748/(-85) - 2/10. What is the remainder when 34 + (4 - 2) + -2 is divided by g(y)?
16
Let q = -2722 - -2749. Calculate the remainder when 5748 is divided by q.
24
Let n(m) = -8*m - 1. Let c be (4 + (-13)/4)*4. Let p be ((-8)/3 - 2)*9/c. What is the remainder when n(p) is divided by 38?
35
Let m(t) = 35*t**2 - t**3 + 0 + 0*t**3 + 1 - 31*t**2 + t. What is the remainder when m(-3) is divided by 9?
7
Calculate the remainder when 1734 is divided by 22 + 30 + 76/(-4).
18
Suppose -m = -2*u + 1, -4*u + 1 = 2*m - 7*u. Suppose 2*p - 132 = -p + 3*q, -2*p + 73 = -m*q. Calculate the remainder when p is divided by 19.
11
Let c = -33775 - -33792. Let h be 138 - ((-5 - -2) + 1). Let n = h - 97. What is the remainder when n is divided by c?
9
Let p(v) = -5*v + 111. Let d be p(6). Let i = d + -72. What is the remainder when 32 is divided by i?
5
Let j(o) = -6*o - 30. Let n be j(-4). Let c(v) = -v**3 - 5*v**2 + 3*v - 11. Let a = 65 - 46. What is the remainder when a is divided by c(n)?
5
Suppose -4*w - 2*z + 44 = 0, -5*w - 4*z + 56 = -2*z. What is the remainder when 812 is divided by w?
8
Suppose p - 28 = 7*y - 3*y, -5*y = 3*p - 101. Suppose 24831 = 36*b - 225. Let f = -633 + b. Calculate the remainder when f is divided by p.
31
Let w = -5214 - -5333. What is the remainder when 595 is divided by w?
0
Suppose 341 = -4554*p + 4585*p. Suppose 0 = d - 4*u - 16, 0 = -3*d - 3*u + 6 - 18. Suppose -3*x + 322 - 61 = d. Calculate the remainder when x is divided by p.
10
Let i = -729 - -735. Let u = -43 + 44. Calculate the remainder when i is divided by u.
0
Let x(z) = z**3 - 24*z**2 - 16*z - 61. Suppose 2*t - 14 = 8. Calculate the remainder when x(25) is divided by t.
10
Let y(u) = 68*u - 10836. What is the remainder when y(166) is divided by 117?
101
Suppose 0*u + 20 = 4*u. Suppose w - 4*w = -27. Calculate the remainder when w is divided by 10 - 0/5 - u.
4
Suppose 55*v - 644 = 78*v. Let h = v - -59. Calculate the remainder when 59 is divided by h.
28
What is the remainder when 112/(-8) - -23 - -904 is divided by 35?
3
Suppose -2345 = -4*l - 5*f, 2*l - 983 = -3*f + 188. Let h = l + -489. Calculate the remainder when h is divided by 17.
16
Suppose -4*i = -16 + 5 - 89. What is the remainder when 2681 is divided by i?
6
Suppose 3*f - 6*g = 4*f - 93, -2*f + 3*g + 66 = 0. Calculate the remainder when f is divided by 34.
11
Suppose 0 = 589*r - 115*r - 199080. Calculate the remainder when r is divided by 134.
18
Let g(i) be the first derivative of 6*i**2 + 3*i + 1. Suppose -5*h + 32 = -200*t + 202*t, -3*t - 4*h + 27 = 0. What is the remainder when g(t) is divided by 6?
3
Let s be (0 + 0)/(8 - 7). Suppose 4*f - 133 = 5*d, 2*f + s*d - 60 = -4*d. Suppose 3*p - 175 - f = 0. What is the remainder when p is divided by 7?
6
What is the remainder when 369 is divided by (4/(-6) + -1)/(163/(-9291))?
84
Suppose 118 = 3*o + 4*s, -86 = -3*o + 4*s - 0. Suppose -5*z + 440 = -0*z. Calculate the remainder when z is divided by o.
20
Let m = 3102 - 2927. Let c(z) = z - 45. Let i be c(0). Let q = m + i. What is the remainder when q is divided by 33?
31
Let g = -95 + 68. Suppose 0 = -9*p + 118*p - 5668. Let n = p + g. What is the remainder when 71 is divided by n?
21
Suppose t = 3*l + 89, -141 = -3*t - l + 146. Suppose 0 = 3*y - 137 + t. Calculate the remainder when 96 is divided by y.
12
Let v = 25 + -13. Suppose -3*w + 5*y = 8, 37*w - 3*y = 33*w + 4. Suppose 5*k + 6 = -w, 4*m = 3*k + 26. What is the remainder when v is divided by m?
2
Suppose 3*j - 137 = -4*i, -2*i + 4*i = j + 71. Let l = i - 8. Suppose -2*x = -l - 3. What is the remainder when 87 is divided by x?
12
Let u(f) = 2*f**2 + 22*f - 5. Calculate the remainder when 470 is divided by u(-12).
14
Suppose -2*s = -5*f - 117, 0 = -16*s + 18*s - 4*f - 118. Suppose 0*y + 15 = y. Let j = y - -16. Calculate the remainder when s is divided by j.
30
Let y(j) = j**3 + 51*j**2 - 166*j + 184. Calculate the remainder when y(-54) is divided by 32.
16
Let d(b) = b**3 - 8*b**2 + 9*b - 20. Let j(t) = -t**2 + 8*t - 4. Let m = -108 - -114. Let f be j(m). Calculate the remainder when 102 is divided by d(f).
50
Suppose 0*q = -5*q + 140. Let k = q + -25. Suppose -17 = -t + k. What is the remainder when 78 is divided by t?
18
Let i be -4 - -4 - 4 - -26. Suppose -3*u = 2*y + 19 + i, -y + 2 = 0. Calculate the remainder when (-1362)/u + 2/10 is divided by 23.
22
Let t be (-24)/(-60)*(1 + -11). Let h = 24 - 17. Let y = h - t. What is the remainder when y is divided by 4?
3
Suppose 2*q + q = 15. Let r(i) = 3*i + 3. Suppose 0 = 5036*u - 5038*u + 5*d + 64, -2*d + 1 = 3*u. Calculate the remainder when r(q) is divided by u.
4
Let q(g) = 89*g - 1415. What is the remainder when q(19) is divided by 115?
46
Suppose 5*f + 924 = 16*t - 12*t, -5*f = 5*t - 1155. What is the remainder when 3677 is divided by t?
212
Let g(w) = w**2 - 64*w + 520. What is the remainder when 896 is divided by g(9)?
21
Let k = -37066 - -37297. Calculate the remainder when k is divided by 228.
3
Let d = 102 + -84. Calculate the remainder when 419/3 - (-6)/18 is divided by d.
14
Let t(i) = -15*i**2 - 4*i - 4. Let p be t(-2). Let c = p - -55. Calculate t