 4258. Calculate the remainder when s(-3) is divided by 323.
320
Suppose -2*r - 5*t = 1, 3*r = -r - 4*t + 4. Let b(q) = -10*q + 197. What is the remainder when b(19) is divided by r?
1
Suppose -40*s = -9*s + 7533. Let w = 270 + s. Calculate the remainder when w is divided by 5.
2
Let n(t) = -t**3 + 6*t**2 - 7*t + 5. Let z be n(5). Let p(b) = 12*b + 206. Let m be p(-16). Let k = z + m. Calculate the remainder when 35 is divided by k.
8
Let r(w) = w**3 + 5*w**2 + w + 4. Let h be r(-5). Let s = 15 - h. Let m = 119 + -72. Calculate the remainder when m is divided by s.
15
Suppose -6*h = -5594 - 448. Calculate the remainder when h is divided by 282.
161
Suppose 2 = g, -2*f + 13*g + 28 = 9*g. Suppose -2*n + 2*l = -12, -4*l = 4*n - 0*l - 8. What is the remainder when f is divided by n?
2
Let q(f) = 2*f. Let b be q(1). Suppose -r + 4*z + 16 = 0, 4*r = b*z - 1 + 65. Let h = -7738 + 7817. Calculate the remainder when h is divided by r.
15
Let j = 7068 + -6502. What is the remainder when j is divided by 95?
91
Suppose 3*i = -r - 101 + 39, -3*r = i + 194. Let o = r + 70. Suppose 900 = 6*d - d + 5*t, o*t = -3*d + 544. Calculate the remainder when d is divided by 45.
43
Let s be ((-35)/14 - -3)/((-3)/204). What is the remainder when 303 is divided by (14/(-21))/((-2)/(-3))*s?
31
Suppose 2*c + 134 = 12. Let l = c - -61. Suppose -5*i = -l*i - 3*v - 355, 0 = -5*i + 5*v + 355. What is the remainder when i is divided by 24?
23
Let k(y) = 147*y + 4. Suppose -8 = 88*j - 96*j. What is the remainder when k(j) is divided by 19?
18
Let b = 18276 + -18057. What is the remainder when b is divided by 25?
19
Suppose k - 5101 = -6*t + t, 1025 = t + 5*k. What is the remainder when t is divided by 33?
30
Calculate the remainder when (0/1 - 882)*23/(506/(-99)) is divided by 15.
9
Let x = -74 + -155. Let j = x + 235. Calculate the remainder when 28 is divided by j.
4
Suppose 89264 = 114*n + 26792. Calculate the remainder when n is divided by 92.
88
Let w(m) = 38*m - 2. Suppose c + 4*j = -3*c + 8, -2*c + 3 = j. Let l be w(c). Suppose 0 = -7*n + 5*n + l. Calculate the remainder when 69 is divided by n.
15
Suppose -4*t + 2*y = -410, 4*t + 4*y = 215 + 201. Let a = 3 + 12. Calculate the remainder when t is divided by a.
13
Suppose c - 6*c + 1805 = 2*n, -4*c + 1444 = 2*n. Let t = c - 256. Calculate the remainder when t is divided by 37.
31
Let o(m) = -m**2 - 35*m - 89. Let y(d) = d**2 + 34*d + 90. Let w(r) = 5*o(r) + 6*y(r). What is the remainder when w(-32) is divided by 25?
16
Let q = 17 + -7. Let z be 3274/q - 9/(-15). Suppose 7*f - z = -f. What is the remainder when f is divided by 22?
19
Let y = -12 + 17. Let g(n) = -4*n + 73. Let z be g(18). Suppose -8 = -a + 2*r + z, 5*a - 5*r - 40 = 0. Calculate the remainder when a is divided by y.
2
Let x(n) = -3*n**2 - 31*n - 10. Let i be x(-10). Suppose i = -9*z - 55 + 307. Calculate the remainder when z is divided by 18.
10
Suppose 13*w - 863 = 3*w + 197. Calculate the remainder when 2860 is divided by w.
104
Let f(s) = 2*s**2 - 13*s - 23. Calculate the remainder when f(-5) is divided by 90.
2
Let y = 26 + -4. Suppose 6*z - 10*z = -80. Let a = z - 14. Calculate the remainder when y is divided by a.
4
Let m(j) = 2*j**2 + 11*j + 4. Suppose 5*z = 7*l - 18, -z + 12 = 10. What is the remainder when m(-7) is divided by l?
1
Let g(s) = -s**3 - 21*s**2 - 3*s - 478. Calculate the remainder when 502 is divided by g(-22).
70
What is the remainder when 1 - (-39)/(-33) - 5161/(-11) is divided by 215?
39
Suppose 5*h - 24 = -i, -4*i - 3*h + 117 + 98 = 0. Calculate the remainder when 229 is divided by i.
52
Let g(o) = o**3 + 4*o**2 - 9*o - 26. Calculate the remainder when 2019 is divided by g(8).
9
Suppose 7779 = -39*t + 16510 + 18608. Calculate the remainder when t is divided by 13.
12
Suppose 0 = 4*g - 3*g - 203. Calculate the remainder when g is divided by (-3)/((-27)/(-9))*(-10 - (-5 + 7)).
11
Suppose 3*h = 4*z + 30, -h + 3*h - 2*z - 20 = 0. Suppose h*t - 857 = 1103. Calculate the remainder when t is divided by 51.
43
Let l(m) = -2*m**2 + 15*m - 1. Let q be l(6). Let g(a) = -a**2 + 21*a - 33. Calculate the remainder when g(q) is divided by 18.
17
Suppose 25759 = -600*h + 1374768 + 79591. What is the remainder when 4775 is divided by h?
13
Suppose 318 = 11*s - 5*k, -5*k - 54 = -2*s - 6*k. What is the remainder when 1112 is divided by s?
20
Suppose -787 = -8*d - n + 476 + 25, 0 = 3*n. What is the remainder when 1282 is divided by d?
155
Let l = -3598 + 4459. Calculate the remainder when l is divided by 96.
93
Let z(y) = -y**3 + 17*y**2 + 3*y + 21. Suppose -4*h + 5 = -b, -b - b - h = -8. Suppose 0 = -4*v + 145 + b. Calculate the remainder when z(17) is divided by v.
35
Suppose -55*x - 2437 + 26078 + 13979 = 0. Calculate the remainder when x is divided by 3.
0
Suppose -21874 = -29*f + 44159. What is the remainder when f is divided by 90?
27
Let a = 53 - 49. Let p be 78/a*-2 + (7 - 8). Let j = -36 - p. Calculate the remainder when 14 is divided by j.
2
Let n = 291 - 285. Calculate the remainder when (-10)/n + -869*3/(-9) is divided by 98.
92
Let f = -1 + -8. Suppose 3*i - 4*v = -16, 3*v + 3 = -12*i + 13*i. What is the remainder when (-304)/i*f/(-6) is divided by 13?
12
Let w = 4157 + -4069. Calculate the remainder when 4311 is divided by w.
87
Calculate the remainder when 724 is divided by (-48)/42*(-4 - (1 - -198)).
28
Suppose 0 = 2*y - 5 + 1. Let n(w) = 2*w**3 + w**2 - 2*w - 1. Let z = -5518 - -5576. Calculate the remainder when z is divided by n(y).
13
Let f(y) = -y**3 - 55*y**2 - 5*y + 124. What is the remainder when f(-56) is divided by 57?
6
Let s be (-795)/30 + (-3)/2. Let t = 40 - s. Suppose 0 = -7*l + 165 + 3. Calculate the remainder when t is divided by l.
20
Let o(h) = h**2 - 6*h - 7. Suppose -35 = -18*k + 19. Suppose 5*a = k*f - 71 - 152, 4*a = -2*f + 112. What is the remainder when o(-9) is divided by f?
62
Suppose 0 = 2*x + 3*q + 108 + 156, x + 4*q + 122 = 0. Let v = -70 - x. What is the remainder when 67 is divided by (-289)/v*(1 + -5)?
16
Suppose 285*b + 18*b = 11285 + 12652. Calculate the remainder when 15086 is divided by b.
76
Let t(w) be the first derivative of 3*w**2 + 75*w - 45. Calculate the remainder when 55 is divided by t(-7).
22
Suppose -76 = -19*r - 228. Calculate the remainder when 2285/35 - r/(-28) is divided by 17*(-1 + 2 + 0).
14
Let s be (-4)/(-10) - 3897/(-45). Suppose -3*v - 3*q = -s, 2*v - 68 = -0*q - 4*q. Let r = 33 - v. Calculate the remainder when 17 is divided by r.
8
Suppose -2*v + 3508 = 3*d - 4, -3528 = -2*v - 5*d. What is the remainder when v is divided by 185?
79
Suppose 0 = -4*m - 2*t + 318 + 150, 2*m - 4*t - 244 = 0. Suppose -11*o + 13*o + 142 = 0. Let n = o + 81. Calculate the remainder when m is divided by n.
8
Suppose -125*f = -62 - 1438. What is the remainder when 3514 is divided by f?
10
Let m(s) = -2*s**3 - 16*s**2 - 59*s - 73. What is the remainder when 1004 is divided by m(-4)?
24
Let y = 12449 - 12431. Let r = -8 + 44. Calculate the remainder when r is divided by y.
0
Let y be 10/(-15) + 11/3 + 0. Suppose 5*o - 135 = -5*t, -y*t + 78 = 4*o - 28. Suppose -i - 50 = -123. Calculate the remainder when i is divided by o.
23
Let g(a) = 3 + 0 - 33*a + 143*a. Suppose -29*o + 5 = -24*o. Calculate the remainder when g(o) is divided by 23.
21
Suppose 12*w = 13*w + h - 2137, -3*w - 5*h + 6407 = 0. Calculate the remainder when w is divided by 57.
30
Let r(w) = 6*w**2 - 106*w - 1104. Calculate the remainder when r(35) is divided by 134.
124
Suppose m = 5*g - 8*g + 265, 5*g = -2*m + 440. Let p = g + -69. Suppose -3*q = -2*s + 125, -1 = s - 3*q - 65. What is the remainder when s is divided by p?
19
Suppose -4*q = -6*q + 166. Suppose 10*l - 244 = 2*z, -27*l + 31*l = -5*z + 202. What is the remainder when q is divided by l?
27
Let b(s) = 2*s + 8. Let g be b(-5). What is the remainder when 70 is divided by (-21)/g*((-112)/(-12) + -6)?
0
Suppose 5*m = 4*y - 307, -5*y - 10*m + 7*m + 430 = 0. Calculate the remainder when y is divided by (-3 - -2)/((-1)/14).
13
What is the remainder when 984 is divided by (-8)/(-6)*-3 - (-51)/68*108?
60
Let l = -32671 + 32735. Suppose 0*u - u + 15 = 3*b, 0 = -4*u + 5*b + 145. Calculate the remainder when l is divided by u.
4
Suppose 2*m + 11484 = 5*y, 0 = -m - m - 4. Suppose 3*x - 12