44. Calculate the remainder when 444 is divided by t(35).
0
Let z = 129 + -126. Let b(n) = -z*n - n + 2*n + 1 - 98*n**2 + 131*n**2. What is the remainder when b(1) is divided by 9?
5
Suppose 0 = 2*m + 2*y + y - 181, -y = m - 88. Suppose -5*x = -m - 67. What is the remainder when 209 is divided by x?
29
Suppose 28*z - 480 = -4*z. Suppose -78*v - 118 = -80*v. Calculate the remainder when v is divided by z.
14
Let w = 61 - 56. Let l be (-3)/w - (-265)/25. Suppose l*u = 41 + 159. Calculate the remainder when u is divided by 5.
0
Suppose 6*l + 2*d = 3*l - 293, -2*l - 222 = -4*d. Let s = -44 - l. What is the remainder when 75 is divided by s?
18
Suppose -91494 = -95*h + 17*h. What is the remainder when h is divided by 38?
33
Let o = 4642 + -4514. Calculate the remainder when o is divided by 119.
9
Let g(c) = -1 - 17 + 3*c - 2*c + 4. Let w be g(-7). Calculate the remainder when 8 is divided by 98/w*(8/7 - 2).
0
Let z(c) = 3*c**2 - 7*c + 7. Let i = -42936 + 42963. Calculate the remainder when z(-6) is divided by i.
22
Suppose -1518 = -20*u + 102. Suppose -73*j = -u*j + 344. Suppose 0 = 4*m - 4*a - 24, 0*a + 21 = 3*m - 2*a. Calculate the remainder when j is divided by m.
7
Let d(x) = -71*x - 11. Let s(l) = -143*l - 22. Let q(t) = 11*d(t) - 5*s(t). Calculate the remainder when q(-4) is divided by 16.
13
Let i(d) = d**3 + 79*d**2 + 1556*d - 41. What is the remainder when 3442 is divided by i(-41)?
39
Let s = 107 + -115. Let u be (-729)/(-7) - (-1)/(s - -1). Let p = 143 - u. Calculate the remainder when 233 is divided by p.
38
Suppose r = 2*i + 125, 37*r = 39*r + 2*i - 262. What is the remainder when 512 is divided by r?
125
Let y = -77 + 252. What is the remainder when y is divided by (-13 - -13) + (1*15 - -1)?
15
Let l be 42*(0 - (-2)/6). Suppose 9*i - l*i = 0. Suppose i = -2*h + 7*h + f - 14, -h = -3*f - 6. What is the remainder when 11 is divided by h?
2
Let f(h) = -3*h**2 - 4*h + 73. Let s be f(0). Suppose 5*k - s = -8. Let z = 3 + 0. What is the remainder when k is divided by z?
1
Let r = -3264 + 3339. Calculate the remainder when r is divided by 17.
7
Suppose x - 630 = -2*x. Suppose -1 = w + 3, 0 = -5*o + 5*w - x. Let j = o - -54. What is the remainder when 14 is divided by j?
6
Suppose 52*f = 4*v + 55*f - 903, 0 = -2*f + 2. What is the remainder when 2246 is divided by v?
221
Let o = 83 + 38. Suppose 4*n - 2*q - 64 = 0, 5*n = 2*q - 1728 + 1813. Calculate the remainder when o is divided by n.
16
Suppose n + 1272 = y, 3*y - 139*n - 3800 = -134*n. Calculate the remainder when y is divided by 34.
22
Suppose 7*f - 46 - 66 = -14. What is the remainder when 34 is divided by f?
6
Let a = -26 + 89. Let l = a - 36. Suppose 15*p = 17*p + b - 69, 3*b + 97 = 2*p. What is the remainder when p is divided by l?
11
Let l(p) be the third derivative of p**4/8 - p**3/3 - 3*p**2 + 4. Suppose 13*t = 19*t - 42. What is the remainder when 46 is divided by l(t)?
8
Suppose -11*h = -37*h - 35*h + 3172. Calculate the remainder when 284 is divided by h.
24
Suppose -2*i = -2*y - 316 - 946, -5*i = 3*y - 3195. Let t = i - 584. What is the remainder when 218 is divided by t?
10
Let u(a) = -5*a**2 + 2*a + 1. Let w(d) = -5*d**2 + 3*d + 1. Let y(p) = -5*u(p) + 4*w(p). Calculate the remainder when y(-3) is divided by 14.
10
What is the remainder when 1521 is divided by 7 + -17 - -447*(-3)/(-9)?
131
Let s = 5099 - 5090. Calculate the remainder when 77 is divided by s.
5
Let x(p) = p - 36. Let y(z) = -z**3 + 13*z**2 - z - 5. Let k be y(13). Let n be x(k). What is the remainder when 1071/15 - (n/15 + 3) is divided by 15?
12
Suppose -8*g = 64*g - 14112. Calculate the remainder when g is divided by 62.
10
Let t = 11580 - 9477. Calculate the remainder when t is divided by 47.
35
Let z(f) = 3*f**2 - 116*f + 1138. Calculate the remainder when 314 is divided by z(13).
40
Let x be (-15)/6*-2*(-9 - -11). Calculate the remainder when 73 is divided by 26*(-1)/(x/(-15)).
34
Let m(g) = 153*g - 891. Calculate the remainder when 92 is divided by m(6).
11
Let q be (-1)/((-16)/60) - (-7)/28. Suppose -4*g + 142 = g - l, -q*l = -3*g + 92. What is the remainder when g is divided by 6?
4
Suppose -3*y + 3*k = -369, -3*y + 27 = -5*k - 352. Suppose -5*w - 45 = -5*i + 2*i, -4*i = -w - 43. Calculate the remainder when y is divided by i.
8
Let v = -31 - -33. Let t be -1 + 4 + 874/v. Suppose o - 206 = -o + a, 5*a = -4*o + t. Calculate the remainder when o is divided by 36.
33
Suppose -8*v + 41 + 319 = 0. Suppose 4*n - 31 = -w + 23, 3*n - v = -3*w. Suppose -4*p + 24 = -0*p. What is the remainder when n is divided by p?
1
Let v(d) be the first derivative of -d**3/3 - 10*d**2 + 298. Let t be 3*-1 + 26/(-2). Calculate the remainder when v(t) is divided by 23.
18
Let j be (117/9 - 8) + -3. Calculate the remainder when 92 is divided by (-110)/(-22) + -2 + j.
2
Calculate the remainder when (15 - 13)/8 - 13196/(-16) is divided by 4.
1
Suppose 0 = 15*b - 678 - 87. Calculate the remainder when 9993 is divided by b.
48
Let x(l) = -l**3 + l**2 - 11*l + 15. Let j be x(5). What is the remainder when 307 is divided by (-2 + 3)/((-5)/j)?
27
Suppose 5*k - 60 = 5*o, -8*k + 6*k = o - 15. Calculate the remainder when (-428)/(-3) - (-3)/k is divided by (-360)/(-26) + 2 - (-12)/78.
15
Let m = 1157 + -2042. Let x = 1433 + m. Calculate the remainder when x is divided by 55.
53
What is the remainder when ((-124)/(-44) - 3) + (-44430)/(-66) is divided by 213?
34
Let v(u) = 2*u + 11. Suppose -7*q + 24 = -4. What is the remainder when q/(-18) + (-6368)/(-144) is divided by v(6)?
21
Suppose -2*g - 4*d + 136 + 218 = 0, d - 18 = -d. Calculate the remainder when g is divided by (1 - 4)*16/(-3).
15
Let m(n) = -1237*n**3 + 6*n + 5. What is the remainder when m(-1) is divided by 311?
303
Suppose -c - 3*x + 7 = -49, 2*c - 92 = -2*x. Let p = -21 + c. Suppose -143*h = 43*h - 2232. Calculate the remainder when p is divided by h.
8
Suppose -f + 5*j + 1501 = 0, 0 = -92*j + 94*j - 4. Calculate the remainder when f is divided by 31.
23
Calculate the remainder when (-6)/10 + (-26 - (-1306075)/125) is divided by 19.
10
Calculate the remainder when (-5)/(-3) + (-339845)/(-555) is divided by 62.
56
Let x = -85 + 87. Suppose -4*z + z = 5*v - 81, x*v - 72 = -3*z. Calculate the remainder when (z/6)/((-6)/(-90)) is divided by 19.
17
Let w(n) = -5*n + 14. Suppose 2*b = -2*m + 13 + 25, -3*m + 39 = 2*b. What is the remainder when w(-18) is divided by b?
14
Let i(u) = 29*u + 1685. Calculate the remainder when 262 is divided by i(-56).
18
Calculate the remainder when 130 is divided by (-24)/(6/(-1)) + (-36)/(-10 + 4).
0
Let s be -3 - 74/(-3 - -2). Let a = s + -38. Let i(k) = -4*k**3 - 107*k**2 - 94*k - 399. Calculate the remainder when a is divided by i(-26).
16
Let b = 1494 + -1481. Suppose 0 = 4*t - 107 - 165. What is the remainder when t is divided by b?
3
Let h be (14/(-3))/(2/3). Let p(g) = -g**3 - 4*g**2 + 13*g - 49. What is the remainder when 160 is divided by p(h)?
6
Let o(c) = -24*c**3 - 5*c**2 - 4*c + 2. Calculate the remainder when o(-2) is divided by 4.
2
Suppose j = 4*k - 236, -17*k + 19*k - 132 = -3*j. Calculate the remainder when k is divided by 17.
9
Let z be ((-15)/(-10) - -4) + 18/(-12). Suppose 3*n = z*w - 0*n - 291, 4*n = w - 89. Calculate the remainder when w is divided by 9.
6
Suppose 11*p - w = 9*p + 808, 4*p + 4*w = 1592. What is the remainder when p is divided by (-15)/(-2*(-4)/(-24))?
42
Suppose 26*a + 1531 - 4356 = a. What is the remainder when 675 is divided by a?
110
Let a = 179 - 70. Let y be (-4)/10*-5 - -3. Suppose -w = -y*v + 183, 0 = 5*v - 4*w + 14 - 191. What is the remainder when a is divided by v?
35
Let n(v) = 7*v**3 - 14*v**2 + 9*v + 26. Calculate the remainder when 261 is divided by n(2).
41
Suppose 5*b = 6*b + 3*r - 55, -2*b = -2*r - 102. Suppose -4*z + 30 = -2*z. Let i = z - 1. Calculate the remainder when b is divided by i.
10
Let i(y) = 2*y**2 + y. Let v = 177 + -176. Calculate the remainder when ((-297)/(-6))/v - (-2)/(-4) is divided by i(2).
9
Let r = -4543 - -4557. What is the remainder when r is divided by 11?
3
Suppose 3*n - 9733 - 35970 = -2*r, 5*n = 5*r - 114220. Calculate the remainder when r is divided by 238.
237
Suppose 5*q - 4*u = 519, -3*q + 4*q + 2*u = 115. Suppose -102*l + q*l = 105. What is the remainder