alculate the remainder when y is divided by 22.
5
Suppose 2*m - 3*v - 33 = 0, 2*m + 0*v - 18 = -2*v. Let x(b) = -b**2 + 22*b + 2. What is the remainder when x(m) is divided by 41?
40
Suppose 0 = -100*b + 105*b - 10. Suppose -7*c - b*v = -3*c - 134, 0 = -v - 1. Calculate the remainder when c is divided by 10.
4
Let z = -3 + 11. Let i(x) = 10 + 5*x - z + x. Calculate the remainder when i(2) is divided by 4.
2
Let o(l) = 2*l**2 - 18*l - 5. Let t be o(14). Let v = t - 69. Suppose -2*i - i = -v. Calculate the remainder when 43 is divided by i.
21
Let k(r) = 740*r**3 + 3*r - 368*r**3 - 373*r**3 - 4 - 4*r**2. What is the remainder when 23 is divided by k(-5)?
5
Let x = 219 + -200. Let v = -265 + 466. Suppose 3*a = 3*h + a - 168, -4*h + v = 5*a. What is the remainder when h is divided by x?
16
Suppose -5*m - 12 = -3*m - 2*c, 4*m - 2*c + 22 = 0. Let s = -6 - m. What is the remainder when 4 is divided by (-1)/(s + 4/8)?
0
Let y(i) = -2*i**3 - i**2 + i + 1. Suppose t + 7 - 5 = 0. Let a(h) = -5*h**3 + h**2 - h - 1. Calculate the remainder when y(t) is divided by a(-1).
5
Suppose -4*m + m = 2*j - 2, -3*j = 4*m - 2. Suppose -3*u + m*u + 4 = 0. Suppose 0 = -w + u*w - 63. Calculate the remainder when w is divided by 11.
10
Suppose 2*v = 6*v - 84. Let d = -79 + 92. Let g = v - d. What is the remainder when 29 is divided by g?
5
Let j be 3*1 + (-12 - -9). Suppose -3*l + 43 = r, j*r + 3*r = 4*l - 40. Let z = 29 - 6. Calculate the remainder when z is divided by l.
10
Suppose 4*b = -20, 0 = -2*d + 5*b + 47 - 4. Calculate the remainder when 93 is divided by d.
3
Suppose 11*s = -24*s + 3115. What is the remainder when s is divided by 15?
14
Let a(f) = f**2 - 10*f + 13. Calculate the remainder when 283 is divided by a(11).
19
Suppose 2*f + 22 = -3*x + 115, -x = 2*f - 103. Let w = f - 33. What is the remainder when w is divided by 7?
0
Suppose 13*v - 197 - 89 = 0. Calculate the remainder when v is divided by 11*(0 - -1) + -1.
2
Let j = 145 - 104. Calculate the remainder when 77 is divided by j.
36
Let b = -514 - -664. Calculate the remainder when b is divided by 24.
6
What is the remainder when (-16 - 343/(-21))/((-1)/(-321)) is divided by 18?
17
What is the remainder when (72/(-1))/(0 - (-24)/(-16)) is divided by 21?
6
Let g be (-34)/4 - (-1)/(-2). Let n = g + 31. Calculate the remainder when n is divided by 14/(-4)*(-48)/28.
4
Let u = 29 + -17. Let v = u - -57. Let k(b) = 3*b**2 + 4*b - 21. Calculate the remainder when v is divided by k(3).
15
Let o(w) = w**3 - 6*w**2 - 4*w - 3. Let l = 43 + -38. Suppose -4*r + l*k = -117, -k - 42 - 54 = -3*r. What is the remainder when r is divided by o(7)?
15
Let l(r) = 2*r**2 - r - 7. Suppose 0 = -5*i - 10. Let a be l(i). Suppose -a*q + 3 = -51. Calculate the remainder when 53 is divided by q.
17
Suppose 2*h - 2*o - 210 = 0, 3*h + 10*o - 7*o = 345. Calculate the remainder when h is divided by 4.
2
Let a be (-25)/(-9) - 6/(-27). Let x = a + 0. Suppose -q + 18 = -x. Calculate the remainder when 83 is divided by q.
20
Calculate the remainder when 1531 is divided by (-4)/6*(13 - 5 - 185).
115
Suppose 8*b = 11*b - 729. Calculate the remainder when b is divided by 62.
57
Suppose -86*d = -90*d + 60. Calculate the remainder when 24 is divided by d.
9
Suppose -5*f + 171 = v, -f = -2*v + 6*v - 19. What is the remainder when 3*f*234/130 is divided by 32?
29
Let w(d) = 4*d + 166. Calculate the remainder when 105 is divided by w(-34).
15
Suppose -9 = -3*i, 2*k + 0*i = -2*i + 24. What is the remainder when 203 is divided by k?
5
Suppose 4*l - 19 = 325. Suppose -5*m = -0*m + 3*d - 104, 4*m + d - l = 0. Calculate the remainder when m is divided by 13.
9
Suppose 3*l + 29 = u, 0 = u - 2*u + l + 25. Suppose -2*m - u = c, c - 17 = -2*m + 4*m. What is the remainder when 23 is divided by ((-4)/(-3))/(m/(-45))?
5
Let a be 179/2 + 1/14*7. Suppose 11*d + a = 13*d. What is the remainder when d is divided by 8?
5
Let i be (68/(-6))/((-12)/54). Let a = 225 - i. What is the remainder when a is divided by 44?
42
Suppose -3*h - 5*c = -377 + 36, 0 = -c + 1. Calculate the remainder when h is divided by 38.
36
Let f = 536 - 489. Suppose -2*l - 136 = -0*o - 5*o, 3*o - 4*l - 90 = 0. What is the remainder when f is divided by o?
21
Suppose h - x - 4*x - 22 = 0, x + 62 = 5*h. Suppose 8 = 4*m - 32. What is the remainder when -14*(-35)/m - (0 + 4) is divided by h?
9
Suppose 3*r - 11 = -4*u + 2, -34 = -4*r - 2*u. Suppose -100 = r*v - 15*v. Let n = 138 + -90. What is the remainder when n is divided by v?
23
Suppose -h - 3*h - 234 = 2*o, -5*o - 243 = 4*h. Let j = h - -72. What is the remainder when 26 is divided by j?
11
Suppose -2*o + 4*o = -4*l + 20, 3*o + 30 = 4*l. Suppose 0 = -l*y + 235 - 7. Calculate the remainder when y is divided by 10.
8
Suppose -2*p + 0*p + 32 = 0. Suppose -3*g = -g + 3*z + 132, -304 = 4*g - 4*z. Let b = g + 102. Calculate the remainder when b is divided by p.
14
Suppose -d + 4*d = -3*v + 186, 2*v - 5*d - 96 = 0. Let f = v + -27. Calculate the remainder when f is divided by 13.
5
Let s(o) = -o**3 - 9*o**2 - 18*o - 10. Let x be s(-7). Suppose 8 = -w + x. Let q(n) = 17*n**2 + n + 1. What is the remainder when q(-1) is divided by w?
7
Let s = -27 + 52. Let c(m) = m**2 + 5. Let j be c(6). Let o = j - s. Calculate the remainder when 45 is divided by o.
13
Suppose 3*o = -6, 3*o - 119 = -5*g - 0*o. Let y(f) = f - 26. Let d be y(6). Calculate the remainder when g is divided by (-3)/(-12) - 175/d.
7
Let p = 21 + -15. Let q(v) = -v**2 + 11*v - 16. Calculate the remainder when 22 is divided by q(p).
8
Suppose 14*a + 5*y = 11*a + 1294, 4*a + 3*y - 1740 = 0. What is the remainder when a is divided by 11?
9
Let c(a) = -11*a + 3*a - 9*a + 1 + 5*a. Let z be c(-2). Suppose -2*s + s = -z. What is the remainder when s is divided by 9?
7
Let n be (-4)/((-7)/5 + -8 + 9). Suppose -n*o = -8*o - 98. What is the remainder when o is divided by 25?
24
Let u be (-2 - (-9)/2)*(0 - -2). Suppose -u*j - 4*y = -3*j - 36, -3*j = 2*y - 58. Calculate the remainder when 57 is divided by j.
17
Let h = -478 + 488. Let q = 31 - -6. Calculate the remainder when q is divided by h.
7
Suppose 0 = -3*m - 0*m - 4*r + 64, m + 2*r - 24 = 0. Suppose -4*f + 19*f - 1988 = f. Calculate the remainder when f is divided by m.
14
Suppose 0 = -u + 4*w + 179, 3*w + 268 = 3*u - 287. What is the remainder when u is divided by 27?
25
Let l(f) be the second derivative of -f**3/3 + 25*f**2/2 + 19*f. Calculate the remainder when l(0) is divided by 4.
1
Suppose -k = j, -j = 3*k + 1 - 11. Suppose k*m - r - 7 = 3*r, -4*r = 3*m - 17. Let o = 7 - m. What is the remainder when 13 is divided by o?
1
Suppose -4*q = -q + 5*y + 8, 5*q - 5*y - 40 = 0. Suppose -8 + 6 = -c. Suppose c*o - o - 2 = 0. Calculate the remainder when q is divided by o.
0
Let w = 1 - -19. Suppose 6*j = 2*j + 224. Calculate the remainder when j is divided by w.
16
Let t(l) = 2*l**3 - 2*l**2 - 15*l + 108. Calculate the remainder when t(0) is divided by 5.
3
Let o(z) = -5*z - 6. Let n be o(-2). Suppose -3*t = -n*d - 15, -2 = -4*t - 2*d + 18. What is the remainder when (-129)/(-9) - 1/3 is divided by t?
4
Suppose 3*r = -a + 40 + 53, 2*r = -5*a + 62. Calculate the remainder when 83 is divided by r.
21
Suppose f + 83 = 2*w - 84, 2*f + 419 = 5*w. Calculate the remainder when w is divided by 24.
13
Let n(p) = 16*p**2 - p - 1. Suppose -37 = -3*f + 23. What is the remainder when n(-1) is divided by -8 + f - (3 + 0)?
7
Suppose 0 = 6*r - 10*r - 60. Let z = r - -30. What is the remainder when 59 is divided by z?
14
Calculate the remainder when 269 is divided by ((-123)/12)/(-1)*(-3 - -7).
23
Let b(w) = -2*w**2 + 8*w + 2. Let y be b(4). Suppose 5*g + 5*x = 85, -y*g + 3*x = -6*g + 64. What is the remainder when 49 is divided by g?
10
Suppose 6*m - 2*m = 4*o + 116, -4*o = 5*m - 172. Suppose 0 = -4*f - 5*v + 237, -2*v = 3*f - 144 - m. Calculate the remainder when f is divided by 15.
13
Suppose x = 4*x - 42. Let r = -271 + 326. What is the remainder when r is divided by x?
13
Let g(v) be the first derivative of 4*v**2 - 34*v - 5. What is the remainder when g(9) is divided by 14?
10
Let m(d) = d**2 - 7*d + 6. Suppose -2*r = -37 - 7. Suppose 2*l + 6 = r. What is the remainder when 39 is divided by m(l)?
11
Suppose -226 = -2*z - q, -4*z + 156 = -3*q - 286. Suppo