. Calculate the remainder when h(31) is divided by 23.
15
Let m be (-110)/(-200)*8 + 3/5. Suppose -3*f = 3*g + g - 258, -m*f + 56 = g. What is the remainder when 527 is divided by g?
65
What is the remainder when 7/(42/706)*(2 + 1) is divided by 83?
21
Let f = -873 - -567. Let b = f - -339. What is the remainder when 64 is divided by b?
31
Let q(l) = 2*l**3 + 6*l - 19. What is the remainder when q(4) is divided by 37?
22
Suppose 5*a - 17 = -2*n, 74*n + 4 = 4*a + 78*n. Calculate the remainder when 10 is divided by a.
0
Let a(o) = 4*o**3 + o**2. Suppose -2*b + 1364 = -5*i, 8*i = 9*i + 5*b + 262. Let w = i - -304. Calculate the remainder when w is divided by a(1).
2
Let q(n) be the second derivative of -n**3/3 - n**2 + 23*n. Let f be q(-4). Suppose -f*s + 300 = -78. Calculate the remainder when s is divided by 13.
11
Suppose -71*z - 147 = -75*z + 5*a, -a = 3. What is the remainder when z is divided by 4?
1
Let m(j) = -j**3 + 54*j**2 + 7*j - 9. What is the remainder when m(54) is divided by 121?
6
Suppose 0 = -w + 8*c - 6*c + 10, c - 10 = -w. Calculate the remainder when 369 is divided by w.
9
Let q = -12303 + 12361. Calculate the remainder when 592 is divided by q.
12
Let y(z) = 4*z**3 + z**2 - 12*z + 13. Let j be y(4). Suppose -j - 223 = -5*i - 3*m, -2*i = 5*m - 165. Calculate the remainder when i is divided by 16.
15
Suppose -19*f - 2*r = -22*f + 8570, -5*f = r - 14279. Calculate the remainder when f is divided by 52.
48
Let y(q) = 2*q + 132. Let w be y(-62). Let j(f) = f**2 + 7*f - 3. Let r be j(-7). What is the remainder when 0 - r - 196/w*-2 is divided by 14?
10
Let o(x) = -29*x + 17*x**2 - 11 + 3 - 33. Let b(a) = -4*a**2 + 7*a + 10. Let c(t) = -9*b(t) - 2*o(t). What is the remainder when 65 is divided by c(6)?
31
Calculate the remainder when (-1144)/(-12) + (224/(-12))/8 is divided by 21 - 15/3*8/20.
17
Suppose v + 110 = -z, -v + 3*z = -0*v + 130. Let u = v - -171. Suppose 0 = 4*h - 3*p - 105, 2*p - 54 - u = -4*h. What is the remainder when 101 is divided by h?
20
Let t = 5221 + -5076. Calculate the remainder when 434 is divided by t.
144
Let s(r) = 7*r**2 - 27*r - 139. Calculate the remainder when 2218 is divided by s(-5).
166
Let g = -11 + 2. Let t(s) = s**2 + 2*s - 11. Let u be t(g). Calculate the remainder when (0 - u)/(18/(-45)) is divided by 44.
42
Suppose -26*t - 32708 = -94*t. Calculate the remainder when t is divided by 23.
21
Let t = -6571 + 7961. What is the remainder when t is divided by 7?
4
Let p be 2646/45 + 2/10. Suppose 134 = 3*s + 5*z - p, -3*s - z + 185 = 0. Calculate the remainder when s is divided by 31.
30
Calculate the remainder when 2*(66 + 10/1*-1 + 0) is divided by 4/(-10) - (-97)/5.
17
Let m be (-1398)/39 + (-18)/117. Let b = m - -38. Suppose -4*v = 7*i - b*i - 51, 4*i = v + 45. What is the remainder when 64 is divided by i?
9
Suppose -12532 = -4*t + 3*m, 0 = -34*t + 29*t - 6*m + 15665. What is the remainder when t is divided by 8?
5
Let x(g) = 0*g**2 + 36 - 34 + g**2 + 6*g. Let j be x(-6). Suppose j*u = 3*c - 56, 2*u + u + 76 = 4*c. Calculate the remainder when 47 is divided by c.
15
Calculate the remainder when 1100 is divided by ((-12 - 0)/(-6))/(14/189).
20
Suppose 26*g + 8*g = 7*g + 3051. Calculate the remainder when 16949 is divided by g.
112
Let x(q) = -q**2 - 19*q + 8. Let d be x(-18). Suppose -3*b = -b - 140. Suppose d = 8*z - b. Calculate the remainder when 47 is divided by z.
11
Let n be -5*(8/(-5))/2. Let a = -772 - -776. Let b = a + n. Calculate the remainder when 15 is divided by b.
7
Let y(r) = 212*r - 7305. What is the remainder when y(36) is divided by 147?
33
Let v be (138/4)/(162/108). Let q(y) = 6*y + 26. What is the remainder when q(v) is divided by 56?
52
Suppose 5*y + w - 1 = 6*y, -5*y + 1 = w. Suppose 20*z - 2 - 158 = y. What is the remainder when 46 is divided by z?
6
Let y = -975 - -1023. Let o(p) = -p + 3. What is the remainder when y is divided by o(-7)?
8
Let k(v) = 2878*v + 186. Let d be k(3). Suppose -4*z - d = -34*z. What is the remainder when z is divided by 4?
2
Suppose 0 = 7*x - 10*x - 57. What is the remainder when 60 is divided by (4/10 + x/10)*-6?
6
Suppose 0 = -5*q + 15, -j + 10*q - 13*q = -11. Suppose j*n - 4*p + 82 = 3*n, 3*n = -5*p + 267. What is the remainder when 465 is divided by n?
89
What is the remainder when ((-220)/990)/(((-2)/639)/2) is divided by 8?
6
What is the remainder when 506 is divided by (-62)/(14/(-154) + 54/(-132))?
10
Suppose 2*l - 71 - 175 = 0. Let u(r) = -221*r + 2055. Calculate the remainder when l is divided by u(9).
57
Let x(r) = r**3 - 10*r**2 + 5*r + 81. Suppose 0 = -56*z + 53*z + 27. What is the remainder when 215 is divided by x(z)?
35
Let t = -224 + 1400. Suppose -3*h + h - 3*o + t = 0, -3*o + 12 = 0. Calculate the remainder when h is divided by 11.
10
Calculate the remainder when (-12 + 0)*((-56115)/116 - -50) is divided by 84.
81
Let p = -14558 - -17551. What is the remainder when p is divided by 13?
3
Let n = -194 - -197. Suppose 2*u - 29 = -n*f, -2*u + 7 = -3*f + 4*f. Calculate the remainder when 30 is divided by f.
8
Suppose x = -q + 78 - 51, 58 = 2*x + q. Suppose -350 = -3*z - 4*w, 2*w - 472 = -4*z - 2*w. What is the remainder when (3*z)/3 + -1 is divided by x?
28
Suppose 0 = -13*t + 19*t - 678. Calculate the remainder when 3048 is divided by t.
110
Let r = 12 - 24. Let u(s) = -6*s**2 - 68*s + 8. Let g(v) = 2*v**2 + 23*v - 3. Let o(x) = -17*g(x) - 6*u(x). Calculate the remainder when o(r) is divided by 45.
42
Let w(m) = -5*m**2 + 14*m - 52. Let u(h) = 4*h**2 - 14*h + 50. Let a(l) = 6*u(l) + 5*w(l). What is the remainder when 144 is divided by a(0)?
24
Suppose 234*w - 232*w - 44 = 0. What is the remainder when 13 is divided by 8/40*10/4*w?
2
Let s(w) = -4*w - 101. Let m be s(-26). Suppose 3*y - 26 = -x, 0*y - 15 = -m*y. What is the remainder when x is divided by 4?
3
Let v(f) = 2*f**2 + 16*f + 50. Suppose -3*j = -0*j + 4*b - 21, -4*j = -4*b. Suppose 0*x = -j*x + 15. What is the remainder when v(-3) is divided by x?
0
Suppose 2*d = 2*a - 484, 5*a - 1353 = 3*d - 145. Calculate the remainder when a is divided by -1 + -6 + 4 - -38.
31
Suppose 0 = 12*m - 14*m + 104. Let b = -48 + m. Suppose 5*o + 2*l = 24, 3*o - 6 = l + 2*l. What is the remainder when o is divided by b?
0
Let d = -2372 + 2467. Calculate the remainder when 842 is divided by d.
82
Suppose u - n - 25 = 0, -83*u - 21 = -84*u + 5*n. Let f(x) = 8*x + 10. Calculate the remainder when f(7) is divided by u.
14
Let t(k) = 5627*k**2 + 11*k - 11. Calculate the remainder when t(1) is divided by 134.
133
Suppose -100*d = -119008 + 14508. What is the remainder when d is divided by 345?
10
Let o = 11 + 3. Let a = -310 + 145. What is the remainder when (4/6)/((-2)/a) is divided by o?
13
Let a = 866 - 582. Suppose i + a = 3*i + 2*u, 3*u = 0. What is the remainder when i is divided by 42?
16
Suppose -150*v + 154*v - 5*g = 137, 76 = 2*v - 4*g. What is the remainder when v is divided by 8*((-50)/4)/(-5)?
8
What is the remainder when 12 + (1449 - (-30 + 13)) is divided by 38?
34
Suppose y - 6 = 2*l, -5*l = y - 0*l + 8. Suppose 5*i + y*h = 49 + 728, -470 = -3*i - 5*h. Calculate the remainder when i is divided by 39.
38
Let o(d) = 4*d**2 - 6*d + 5. Let a(x) = -x**3 - x**2. Let q(r) = -a(r) - o(r). Calculate the remainder when 25 is divided by q(3).
12
Calculate the remainder when 919 + -5 - 1*(1 + -6)*-1 is divided by 38.
35
Let s = 600 - -1038. What is the remainder when s is divided by 271?
12
Suppose u + 10 = 2*a, a = -4*a - 5*u + 25. Suppose -a*i + 212 = -133. Calculate the remainder when i is divided by 10 - 5 - -4 - 5.
1
Let j = 21 - 7. Let y(m) = m - 14. Let f be y(j). Suppose f = 3*a - 31 - 80. Calculate the remainder when a is divided by 13.
11
Suppose 3*s + 2*y - 15 = 3*y, 0 = 2*s - 4*y. Suppose -517 = -5*w - 3*i, 0 = 3*i + s - 18. Calculate the remainder when w is divided by 26.
23
Let t = 309 + -307. Suppose t*v - 2*u = -6*u + 298, 4*v + u - 575 = 0. Calculate the remainder when v is divided by 29.
27
Let y(p) = 2*p**3 - 9*p**2 + 6*p - 12. Suppose -1344 = -21*c - 27*c. Calculate the remainder when y(5) is divided by c.
15
Calculate the remainder when (8/3)/((-140)/(-9240)) is divided by 73.
30
Suppose 5*p - 8399 = 4*c - 1385, 4*p = c + 5598. Calculate the remainder when p is divided