ate the remainder when q is divided by 217.
216
Suppose 3*z + 6 = -3*k, -3*z = -4*k + 1 - 2. Let i(f) = -62*f + 1. What is the remainder when i(k) is divided by 8?
7
Suppose 0 = 6*u - 2883 - 891. Suppose -537 = -22*m + u. What is the remainder when 141 is divided by m?
35
Suppose 0 = -31*b + 27*b + 32. Suppose -54 - 2 = -b*u. What is the remainder when u is divided by 3?
1
Let l = 36 - 23. Let d = -12291 + 12341. What is the remainder when d is divided by l?
11
Let i = -25 + 43. Suppose -346*h + 28724 = -101718. Calculate the remainder when h is divided by i.
17
What is the remainder when 1247 is divided by -3 + 2/3*(-4347)/(-42)?
59
Let z = 69 + 110. Let y be 15/(-35) + z/(-7). What is the remainder when 93 is divided by y/(-65) + 93/5 - 3?
13
Let r(f) = f**2 + 13*f - 375. What is the remainder when 419 is divided by r(15)?
14
Let j = -1497 - -938. Let y = j - -577. What is the remainder when 69 is divided by y?
15
Suppose -7*j = -7 - 14. Let q = 31 - j. Let s = 136 + -133. What is the remainder when q is divided by s?
1
Let n = 632 + -618. Calculate the remainder when 27 is divided by 12/16*-8*n/(-12).
6
Let z be 3/(-3)*(3 - 6 - -1). Suppose -4*t = i + 2, -6*i + z*t - 20 = -8*i. Let s = 98 + -30. What is the remainder when s is divided by i?
12
Let d(t) = t + 17. Let s(p) = 6*p + 84. Let h(a) = 24*d(a) - 5*s(a). Let z be h(-20). Let n = z + -82. What is the remainder when n is divided by 8?
2
Let y(j) = -1. Let d(k) = k**2 + 10*k + 32. Let x(b) = d(b) - 5*y(b). Calculate the remainder when 103 is divided by x(-10).
29
Calculate the remainder when 3000 is divided by -54*(-7)/10 + 216/(-270).
3
Suppose -2*h = -3*r + 915, 756 = -5*r + 2*h + 2293. What is the remainder when 958 is divided by r?
25
Let l(u) = 54*u**2 + 2*u - 1. Suppose -9*c + 0 = -72. Suppose 56 = 12*j - c*j. What is the remainder when l(1) is divided by j?
13
Let m(k) = -6*k**3 + 2*k**2 + 5*k + 10. What is the remainder when 254 is divided by m(-2)?
30
Let k(w) = -202*w - 580. Suppose -4*j = -j. Suppose -3*i + 24 = 2*y - j*i, 5*y = 3*i + 81. What is the remainder when k(-3) is divided by y?
11
Let w(c) = 16*c**3 + 8*c**2 - 27*c + 18. Calculate the remainder when w(5) is divided by 139.
137
Let r(m) = 6*m**2 + 28*m + 10. Suppose -4*j + 3*q - 15 = 9, -j - 6 = -4*q. Calculate the remainder when 403 is divided by r(j).
55
Let c(i) = -i**2 - i + 8. Let g be c(-3). Let z(t) = -2 + 7 + 130*t - g. Calculate the remainder when z(1) is divided by 17.
14
Let c = -49 - -65. Let t = 6413 - 6382. Calculate the remainder when t is divided by c.
15
Let k(c) = c**3 + c**2 - 2*c - 1. Let j(x) = -x**2 - 15*x - 42. Let q be j(-4). Calculate the remainder when (-561)/(-17) - 3*q is divided by k(2).
6
Let b = -19 - -19. Suppose -4*u = -b + 4. Calculate the remainder when 55/(-22)*(-29 - u) is divided by 24.
22
Let m be 74/10 - (-81)/135. Suppose -258 = -14*f + m*f. What is the remainder when 384 is divided by f?
40
Suppose 3*z + 4 = -4*r, 2*r - 2*z = -z + 8. Suppose 5*f = 2*u + 15 - 38, r*u - 4*f = 20. Calculate the remainder when u is divided by 2/(-6)*(-3 - 0).
0
Suppose -22992*k + 2340 = -22980*k. What is the remainder when 1168 is divided by k?
193
Let c = 38 + -2. Suppose 102 = 2*z + 110, t + z - 19 = 0. What is the remainder when c is divided by t?
13
Let r(u) = -u**2 + 123*u - 1463. Calculate the remainder when r(105) is divided by 36.
31
Let p(i) be the third derivative of -i**4/3 + 31*i**3/6 - 74*i**2. Calculate the remainder when p(-8) is divided by 48.
47
Let x(q) = -q**3 - 72*q**2 - 213*q - 122. Calculate the remainder when 561 is divided by x(-69).
269
What is the remainder when ((-2485)/284)/((-2)/(-240)*-1) is divided by 1017?
33
Suppose -4*t - 275 = -20*a + 15*a, -4*t - 55 = -a. Calculate the remainder when a is divided by (40 + -2)*(2/4 - 0).
17
Let x(f) = 27*f**2 - 10*f - 1. Let c = -152 + 153. What is the remainder when 21 is divided by x(c)?
5
What is the remainder when (-1 - -2) + (-1449)/45*-5 is divided by 80?
2
Suppose n = -2*g + 6678, -5*g = 5*n - 3447 - 29913. What is the remainder when n is divided by 58?
54
Suppose 0 = -5*k - 3*z + 403, 183 = 2*k + 2*z + 25. What is the remainder when 839 is divided by k?
9
Suppose 0 = 3*g + x - 1819 + 338, 2*g + 4*x - 984 = 0. Suppose -24*p + g = -5*p. What is the remainder when 94 is divided by p?
16
Let w(x) = 7*x**2 + 3*x - 4. What is the remainder when w(-3) is divided by ((-1)/(-1) + -118 + 135)*3/2?
23
Let l(t) = t**3 + 21*t**2 - 100*t + 4. Let c be l(-25). Suppose -2*z - c*q + 38 = 0, -37 = -4*z - 3*q + 14. What is the remainder when 102 is divided by z?
3
Let p(r) = -18*r**3 + 9*r**2 + 23*r + 5. What is the remainder when 1043 is divided by p(-3)?
37
Suppose 2*l - 85 = 3*t, 4*l - 114*t - 173 = -109*t. Calculate the remainder when 220 is divided by l.
32
Let u = -274 + 277. Suppose 4*n + 4 = 0, 2*n + 54 = x - u*n. What is the remainder when 259 is divided by x?
14
Suppose 2055 = 41*l + 5. Calculate the remainder when 112 is divided by l.
12
Suppose 3*c + 6*s + 5 = s, 5*s = 5*c - 5. Suppose -4*g + 18 - 6 = c. Let a = g + 1. Calculate the remainder when 12 is divided by a.
0
What is the remainder when (-174)/290 - (1 - (-128649)/(-15)) is divided by 8?
7
Let h = -79 - -88. What is the remainder when ((-18)/45)/((-1)/85) is divided by h?
7
Suppose 7*u - 8*u - 17 = 0. Let l(w) = -w. Let d(p) = p**2 + 25*p - 36. Let j(s) = -d(s) - 6*l(s). What is the remainder when j(u) is divided by 36?
34
Suppose -3*b + 8*b + 150 = 0. Let f be (-24)/((-5)/(75/10)) + 3. Let h = f + b. What is the remainder when h is divided by 3?
0
Calculate the remainder when 114 is divided by 1*(21 - 10/(-5)).
22
Let y(d) be the third derivative of 13*d**4/6 - d**3/2 - 3*d**2 - d. What is the remainder when y(4) is divided by 9?
7
Let g = 162 - 78. Calculate the remainder when 208 is divided by g/(((-44)/12 + 3)*-3).
40
Suppose -4*r = 4*y - 3472, -4*r + 13 = -11. Calculate the remainder when y is divided by 278.
28
Let l = 1258 - 1256. Let v(n) = 5*n + 11. Let m(i) = -i**2 - 6*i - 12. Let y(f) = -5*m(f) - 6*v(f). Calculate the remainder when y(l) is divided by 6.
2
Let s be (9/(-15) - 1)/((-2)/(-30)). What is the remainder when (-2 + 0)*1 - s is divided by 12?
10
Let x(u) = -u**3 + 4*u**2 - 3*u + 1. Let p be x(2). Suppose 2*i + 3*m - 36 = 0, 83 = 3*i - 2*m + p. What is the remainder when 408/9 - (-2)/3 is divided by i?
22
Let b = -40 - -46. Suppose -i + n + n = b, 0 = i + 4*n. Calculate the remainder when 5 is divided by i + 3/(15/35).
2
Suppose -1368*x = -1364*x - 56. Let r(d) be the second derivative of 5*d**4/6 - d**2/2 - 3*d. What is the remainder when r(-2) is divided by x?
11
Let w(f) = -7 + 18*f + f**2 - 18 - 1. Let u(g) = g**3 - 17*g**2 - 18*g - 24. Let k be u(18). What is the remainder when w(k) is divided by 15?
13
Suppose 3*w - 3*y - 2199 - 120 = 0, 5*y = 2*w - 1552. What is the remainder when w is divided by 194?
189
Suppose 3*t - z - 57 = 22, -z - 54 = -2*t. Let s(i) = i**2 + 2*i - 6. Let g be s(-5). Suppose -2*k + g + t = 0. Calculate the remainder when 48 is divided by k.
14
Let j be ((-3)/(-5))/((-6)/(-30)). Suppose j*n - 10 = -2*n. Let c = 866 - 864. Calculate the remainder when n is divided by c.
0
Let x = 7 - -22. Suppose f = -4, 3*f - f = 2*l + 124. Let a = l - -84. What is the remainder when x is divided by a?
11
Suppose -s + 420 = -3*s. Let m be s/(-24)*2*2. Let y = -1 + m. What is the remainder when y is divided by 12?
10
Let r(j) = j**2 - 7*j + 9. Let p(d) = d**3 + 5*d**2 - 4*d + 3. Calculate the remainder when p(4) is divided by r(8).
12
Let r = 16366 - 16241. What is the remainder when 747 is divided by r?
122
Let a(u) = -3*u**2 + 2*u + 5. Let f be a(0). Suppose 47 = -f*j + 77. Calculate the remainder when j is divided by 2.
0
Let f = -174 + 299. Let p = -93 + f. Calculate the remainder when 59 is divided by p.
27
Suppose 135 = 11*v + 4*v. Let f(y) = 34*y - 173. Calculate the remainder when f(6) is divided by v.
4
Let c be 24/(-48) + 31/2. Suppose -112 = -c*d + 53. Let u(v) = -v**2 + 64. What is the remainder when u(0) is divided by d?
9
Calculate the remainder when 138/(-15)*(65 + -75) is divided by 41.
10
Let l = 2682 - 2535. Calculate the remainder when 2200 is divided by l.
142
Let s be 17/(-85) - 179/5. Let l = s + 40. Calculate th