ivided by 17.
14
Suppose 4*k = -3*d - k + 117, 0 = -4*k. Calculate the remainder when 465 is divided by d.
36
Let o(y) = -y**3 + 35*y**2 - 34*y + 37. Suppose 3*g = -2*u - 2*u + 577, 0 = 3*g + 3. What is the remainder when u is divided by o(34)?
34
Let q(x) = 7*x**2 + 16*x - 37. Calculate the remainder when q(-8) is divided by 143.
140
Suppose 394 = 26*q - 1218. Calculate the remainder when q is divided by 22.
18
Let m = 804 + -649. What is the remainder when m is divided by 16?
11
Suppose 3*z + 8 = 4*z. Suppose 0 = -w + z - 3. Calculate the remainder when 32 is divided by w.
2
Let k(f) = 2*f**3 - 88*f**2 + 86*f + 21. What is the remainder when 228 is divided by k(43)?
18
Suppose -z = 4*s + 12, 0*s + 3*s = -3*z. Let g be (-1)/2 - (-18)/z. Suppose -g*o - 30 = -9*o. What is the remainder when o is divided by 2?
0
Suppose 0 = 5*l - 3*r - 283, 4*r = 3*l - r - 173. What is the remainder when l is divided by 53?
3
Suppose -193 + 61 = -33*s. What is the remainder when 13 is divided by s?
1
Suppose -4*n + 332 = -8*n. Let f = -59 - n. What is the remainder when f is divided by 13?
11
Suppose 5*z = -x + 142 + 55, -2*z + x = -76. Suppose -28 = z*j - 43*j. Calculate the remainder when 12 is divided by j.
5
Let x(c) = -2*c - 7. Let f = 20 + -4. Suppose -6 = 2*m - f. Calculate the remainder when x(-10) is divided by m.
3
Let i(n) = n**3 - 7*n**2 + 9*n - 5. Let y(t) = -t. Let j be y(-7). Calculate the remainder when i(j) is divided by 6/21 + (-103)/(-7).
13
Let d(c) = 17*c**2 - 10*c - 21. Calculate the remainder when 196 is divided by d(-2).
62
Suppose -375 = -4*x - n, -n - 283 = -4*x + x. What is the remainder when x is divided by 28?
10
Suppose 0 = 3*b - m + 1, -2*m - 2 = -4*b - 4*m. Suppose 4*a - 8 - 20 = b. Calculate the remainder when 9 is divided by a.
2
Suppose -u + 51 = 2*u. Let w(i) = 2*i**2 - 13*i + 22. Calculate the remainder when w(9) is divided by u.
16
Suppose 4*p - 20 = 2*p. What is the remainder when 58 is divided by (-12)/8 - (-315)/p?
28
Let i be 24 - (6/(-3) - 0). Let r = i + -19. Suppose 3*l - 8 = r. Calculate the remainder when 37 is divided by l.
2
Calculate the remainder when -6 + ((-6)/7)/((-4)/3108) is divided by 19.
14
What is the remainder when 100 is divided by (-6)/(-33) + 1/(11/207)?
5
Let q = 232 - 226. Calculate the remainder when 17 is divided by q.
5
Suppose 0*z = 2*z - 3*p - 45, -z + 23 = -2*p. Suppose -252 - 2 = -5*y + 3*b, -5*y = -5*b - 260. Let x = y + -8. What is the remainder when x is divided by z?
20
Suppose 2*x - 112 = 82. What is the remainder when x is divided by 10?
7
Let z = 180 + -93. Suppose -289 = -4*w + z. What is the remainder when w is divided by 2/(-3) + 74/3?
22
Let t(g) be the third derivative of g**5/60 - g**4/12 + 19*g**3/6 + 10*g**2. Calculate the remainder when t(-8) is divided by 25.
24
Suppose 77 = 2*q + 11. Suppose 24 = -27*p + q*p. Calculate the remainder when 17 is divided by p.
1
Suppose -89 = -6*d + 86 + 23. What is the remainder when d is divided by 1 - (-22)/4*2?
9
Let t = -13 - 15. Let n be t/10 + 6/(-30). Calculate the remainder when 21 is divided by 2/(n - (-52)/16).
5
Suppose -45*q + 204 = 23*q. Calculate the remainder when 55 is divided by q.
1
Suppose -4*n - 5*r + 109 = 0, 0*n - 3*n + 102 = -3*r. Let s = 56 - n. Calculate the remainder when 66 is divided by s.
16
Let u = -35 - -24. Let m = u + 21. Calculate the remainder when 19 is divided by m.
9
Let u = 754 + -723. Calculate the remainder when u is divided by 8.
7
Let i = -54 + 96. Let b = -7 - -7. Suppose b*x + 11 = x. Calculate the remainder when i is divided by x.
9
Let a = -7 - -5. What is the remainder when 94 is divided by a/(-18) + 574/18?
30
Calculate the remainder when -5 - 11/(55/(-60))*6 is divided by 23.
21
Suppose -15*i + 443 = 8. Let q(l) = l**2 - 7*l + 9. What is the remainder when i is divided by q(6)?
2
Let k(t) = 66*t**3 - 65*t**3 + 33*t + 4*t**2 + 22 + 15*t**2. What is the remainder when k(-17) is divided by 7?
4
Let r be -342 + (-4 + 5 - 1). What is the remainder when r/(-4)*28/21 is divided by 23?
22
Suppose 3*v - a - 458 = 19, 626 = 4*v + 2*a. Suppose 5*w - 2 = v. Suppose 0 = 2*c + c - 282. Calculate the remainder when c is divided by w.
30
Suppose 24*l = 4*l + 280. What is the remainder when 31 is divided by l?
3
Let c(z) = 7*z + 9. Calculate the remainder when c(12) is divided by 24.
21
Suppose 8*s + 45 = -2*j + 5*s, -5*j - s - 106 = 0. Let f = 52 + -17. Calculate the remainder when j/6*(-60)/f is divided by 2.
0
Suppose -o + 1598 = 4*c, 5*o - 15*c + 18*c - 7905 = 0. Calculate the remainder when o is divided by 79.
77
Let h be (-10*(24/20)/(-2))/(-1). What is the remainder when ((-236)/h)/(3/9) is divided by 24?
22
Suppose 0 = 6*d - 5*b - 275, -12*b = -7*b - 25. Calculate the remainder when 345 is divided by d.
45
Suppose -z = 5*c - 14, -c = 2*z - 32 + 4. Calculate the remainder when z is divided by 9.
5
Let f(x) = -x**2 - 10*x + 6. Let l(b) = b**3 + 13*b**2 + 8*b + 18. Let k be l(-12). What is the remainder when k - -6*3/(-9) is divided by f(-8)?
20
What is the remainder when (-144)/(-63) - 2 - 18075/(-21) is divided by 24?
21
Suppose 9 = -4*h + 37. Suppose j + 13 = 5*a, -3*a - 10 = j - h*a. Calculate the remainder when 10 is divided by j.
0
Let v = -451 + 469. Let i(a) = 88*a - 1. Calculate the remainder when i(1) is divided by v.
15
Suppose -39 = -4*j - 5*l, 17 = 2*j - 4*l - 9. What is the remainder when -12*(-54)/(-12)*7/(-21) is divided by j?
7
Suppose 0*f + 16 = -4*f. Suppose -32*a + 5 = -31*a. Calculate the remainder when f/(-10) - (-58)/5 is divided by a.
2
Suppose -j + 2*f + 21 + 2 = 0, 5*j = -3*f + 102. Calculate the remainder when j is divided by 9.
3
Let f(a) = -a**2 + 17*a + 301. Calculate the remainder when f(27) is divided by 11.
9
Calculate the remainder when 72 - (1 + 3 + -4) is divided by 1/3*-3 - -20.
15
Let w = 25 - 13. Let n = 38 + -7. Suppose -2*t - 4*j = -t - n, -5*t + 173 = 2*j. Calculate the remainder when t is divided by w.
11
Suppose 35*b + 1860 = 47*b. Calculate the remainder when b is divided by 25 - (3 - (-3 + 7)).
25
Suppose 806*u - 800*u = 168. Calculate the remainder when 698 is divided by u.
26
Let l(q) = 11*q + 1. Let y be l(2). Let w = 44 - y. What is the remainder when w is divided by 8?
5
Suppose 5*r - 2*r - 21 = -5*m, 5*m = 5*r + 5. Suppose -r - 2 = -z. Suppose -b + 95 = z*b. What is the remainder when 75 is divided by b?
18
Let o be ((-12)/15)/((-6)/255). Let j = o + -14. What is the remainder when 32 is divided by 6/(-15) - (-348)/j?
15
Let s = 6 - 9. Let p(m) = -2*m**2 - 26*m + 65. What is the remainder when p(-13) is divided by 44/10*(2 - s)?
21
Let r be (-44 + 2*3/(-2))*-3. Let q = 205 - r. What is the remainder when q is divided by 34?
30
What is the remainder when ((-21)/4)/(1/(-12)) is divided by (-5)/(-6)*4*(-360)/(-75)?
15
Let w(j) = -j**2 + 38*j - 105. What is the remainder when 617 is divided by w(34)?
28
Suppose -5*t - 209 = -2*j, 24*j - 22*j + t = 191. Calculate the remainder when j is divided by 20*-2*(-5)/8.
22
Suppose -19*j + 920 = 255. Calculate the remainder when 206 is divided by j.
31
Let k = 1 + 1. Suppose -p - k*l - 2*l + 24 = 0, 43 = 2*p + 3*l. Suppose -4*x = -28 - p. What is the remainder when x is divided by 5?
2
Let q = 42 - 35. Suppose l + 2*z + q = -2*z, -33 = -5*l - 3*z. What is the remainder when 29 is divided by l?
2
Let l(d) = -26*d + 507. Calculate the remainder when 49 is divided by l(18).
10
Let w = 0 + 3. Suppose -l = w*c + 2 + 3, -2*c + 2 = -2*l. Calculate the remainder when 16 is divided by l/8 - 25/(-4).
4
Suppose -1151 - 5383 = -121*l. What is the remainder when l is divided by -33*(2 + 7/(-3))?
10
Suppose -418 = -16*v + 5*v. Let m = 3 - 3. Suppose 3*w - 23 - 19 = m. What is the remainder when v is divided by w?
10
Let p = -756 - -862. Calculate the remainder when p is divided by 34.
4
Let k be (-1)/(1/48*-1). Suppose -4*g - 49 = -569. What is the remainder when g is divided by (0 - -11)/(16/k)?
31
Suppose 0 = 5*l + 3*n - 502, -3*l - 299 = -6*l - 4*n. Let g = -30 + l. What is the remainder when g is divided by 25?
21
Suppose 2469*p - 360 = 2449*p. Suppose 2*d = -a + 3*d + 67, 5*d - 335 = -5*a. What is the remainder when a is divided by p?
13
Suppose 5*o - q - 3 = -20, 0 = -5*o - 4*q - 32. Calculate the remainder when (3 - (3 +