4).
13
Suppose 2*t = 10*t - 224. What is the remainder when t is divided by 7?
0
Suppose 0 = -4*l - 2*r + 404, -5*r - 8 = 12. Let z = -42 - -68. Calculate the remainder when l is divided by z.
25
Let n(y) = -8*y - 1. Let j = -22 - -21. Calculate the remainder when 12 is divided by n(j).
5
Let y(a) = -a**3 - 3*a**2 - 2*a. Let m(r) = -37*r + 5. Calculate the remainder when m(-3) is divided by y(-4).
20
Suppose -20*n - 22 = -18*n. Let w(m) = m**2 + 8*m - 27. Calculate the remainder when w(n) is divided by 3.
0
Suppose 2*s - 4 = 2. Let x(t) = 9*t**2 - 3*t - 1. What is the remainder when x(s) is divided by 37?
34
Calculate the remainder when 2732/44 - (-18)/(-198) is divided by ((-4 + 0)*-4)/1.
14
Suppose 16*w - 360 = 8*w. Calculate the remainder when 1 + 2330/w - (-4)/18 is divided by 9.
8
Suppose 2*u - 1 = 2*y + 5, -3*u + 5 = -2*y. Calculate the remainder when 8/y - (-3 - 10) is divided by 3.
2
Let k be (0 - -3) + (0 - 2). Let n be (-4 + 5)*k*-23. Calculate the remainder when 90 is divided by n/(-3)*(-6 - -9).
21
Let r be (-23)/3*3*-1*1. Let d = -20 + r. What is the remainder when 4 is divided by d?
1
Suppose 2*c + 171 = 491. What is the remainder when c is divided by 83?
77
Let x(f) = -f**2 + 11*f. Let q be x(9). Let i be 97 - (q/(-2))/3. Suppose 4*d = -l + 145, 70 = 5*d + 5*l - i. Calculate the remainder when 108 is divided by d.
34
Calculate the remainder when 233 is divided by (-3 - -6)*(-5 - -20).
8
Let b(s) = 2*s**2 - 4*s + 2. Let n = -2 + 4. Let y = 21 + n. Calculate the remainder when y is divided by b(3).
7
Suppose 0 = -10*f + 107 + 13. Suppose j + 47 = g, -3 = -3*j - f. Calculate the remainder when g is divided by 9.
8
Let p(f) = -3*f**2 - 34*f - 10. Calculate the remainder when 88 is divided by p(-10).
28
Suppose 2*s - 30 = 3*l, -5*s + 48 + 34 = -4*l. Let o = 111 - -30. What is the remainder when o is divided by s?
15
Suppose 5*h - h + 94 = u, -3*u - 4*h + 362 = 0. Suppose d - 4*i - 35 = -6*i, 5*d - 2*i = 139. What is the remainder when u is divided by d?
27
Let p = -661 - -670. Calculate the remainder when (1/(-2))/((-2)/128) is divided by p.
5
Let m(s) = 7*s**2 - 1. Let q be m(-1). Suppose -i - 15 = -q*i. Calculate the remainder when 7 is divided by (-6)/(2 - i - 1).
1
Suppose -11*b = -2564 - 2023. Calculate the remainder when b is divided by 11.
10
Let j be (-648)/(-14) - 4/14. Suppose 2*z - j = 10. Suppose -2*u - z = -2*s, 0 = 5*u - 0*u + 15. What is the remainder when 31 is divided by s?
9
Let q be (-52)/2*3/(-6). Suppose 10*u - 3843 = q*u. What is the remainder when (-2)/3*u/14 is divided by 21?
19
Let w(a) = -49*a - 11. Let h be w(-2). Suppose h = 6*x - 93. What is the remainder when 58 is divided by x?
28
Let f(v) = v**2 + 10*v + 41. Suppose -44 = -l + 3*h, l - 2*h = -0*l + 40. Calculate the remainder when l is divided by f(-6).
15
Suppose 0 = -3*m - 5 + 11. Let b(y) be the first derivative of y**2/2 + 10*y - 5. What is the remainder when m is divided by b(-9)?
0
Let t(p) = p**3 + 14*p**2 + 3*p - 7. Let a(z) = 4*z**3 + 42*z**2 + 10*z - 20. Let c(f) = -2*a(f) + 7*t(f). Calculate the remainder when 14 is divided by c(14).
4
Let l(b) = 2*b**2 - b + 2. Let d be l(2). Suppose -4*a + 76 = 4*t, 3*a - 90 = -a + 3*t. Let w = a - d. What is the remainder when w is divided by 7?
6
What is the remainder when 774/12 - (-9)/6 is divided by 9*6/3 + -1?
15
Let l = -855 - -1218. Suppose -6*n + l = 5*n. What is the remainder when n is divided by 10?
3
Let b(o) = -o**3 - 15*o**2 + 7*o - 26. Let y(x) = 6*x - 1. What is the remainder when b(-16) is divided by y(7)?
36
Suppose 6*j - 222 = -60. Calculate the remainder when j is divided by 13.
1
Let c = -19 + 26. Suppose -62 - 34 = -3*q. What is the remainder when q is divided by c?
4
Let x(t) = t**3 + 8*t**2 + 9*t - 14. Let n be x(-6). Suppose 5*z + 4*v - 74 = 0, -n*v = -2*v - 2. Calculate the remainder when 25 is divided by z.
11
Let i = -16 - -15. What is the remainder when 53 is divided by 4 - 7 - i - -16?
11
Let n(o) = -o**3 + 5*o**2 - 6*o + 10. Let k be n(4). Suppose 5*a = -k*j + 18, 3*a - 2*j - 12 - 2 = 0. What is the remainder when 9 is divided by a?
1
Let q(d) = 4*d + 6. Let m(g) = -9*g - 11. Let f(n) = 3*m(n) + 7*q(n). What is the remainder when (-24)/14*105/(-6) is divided by f(3)?
6
Suppose 58*s - 84*s = -884. Calculate the remainder when 609 is divided by s.
31
Let m(t) = -8*t - 36. Suppose -68 + 12 = 7*f. What is the remainder when m(f) is divided by 6?
4
Let s(x) = -11*x - 476. Calculate the remainder when s(-48) is divided by 19.
14
Let s(g) = -g**2 + 6*g + 27. Let x = -86 - -144. Calculate the remainder when x is divided by s(7).
18
Let h = 392 + -385. What is the remainder when 26 is divided by h?
5
Suppose -y = -4*r + 12, -4*y + 13 = 5*r - 2. Suppose 8 = 2*l - y*l. Let f(z) = -12*z**3 + 2*z**2 + z. Calculate the remainder when f(-1) is divided by l.
1
Suppose 74 = 3*v + 5*h, -2*v = v - h - 50. What is the remainder when 3/((-69)/v - -4) is divided by 10?
8
Suppose -2*k + 28 + 18 = 0. Calculate the remainder when 7/((-539)/(-22)) + (-1214)/(-14) is divided by k.
18
Suppose -11*z - 202 = -13*z. Let j = z + -73. What is the remainder when j is divided by 6?
4
What is the remainder when (-24)/12 + 524 - -7 is divided by 4?
1
Let h(i) = 207*i**2. Suppose -2*f = 4*u - 68, 3*f - 4*f = u - 15. What is the remainder when h(-1) is divided by u?
17
Suppose 0 = -8*f + 415 - 15. Calculate the remainder when f is divided by 3.
2
Let t = -200 + 214. What is the remainder when 97 is divided by t?
13
Suppose 24 = 2*u + l, 0 = 2*u - 0*u + 2*l - 24. Let m = u - 7. Suppose m*x = 0, 54 = 2*t - 3*x - x. Calculate the remainder when t is divided by 14.
13
Suppose 14*b - 2430 = -b. Calculate the remainder when b is divided by 14.
8
Suppose -46*m = -89 - 49. Calculate the remainder when 3*3/(-9)*-7 is divided by m.
1
Let c be (-18)/(-5) + (-4)/(-10). Suppose 18*l - 24 = 21*l. What is the remainder when c + 6*4/l is divided by 1?
0
Let f = 68 + -47. Suppose -2*i - 4*g = g - f, -g + 3 = 0. Suppose 8*o = i*o + 30. Calculate the remainder when 27 is divided by o.
3
Suppose 415 = 3*o - 5*b, 4*b = -2*o + 247 + 59. What is the remainder when o is divided by 31?
21
Suppose 0 = -7*s + 51 + 208. Let g = 12 + 8. What is the remainder when s is divided by g?
17
Let l(d) = d + 15. Let k be l(-13). Suppose 4*i = -3*b + 31, 2*i - 11 = -k*b + 7. Suppose b*h - 34 - 11 = 0. What is the remainder when 26 is divided by h?
8
Let f(s) = s**3 + 15*s**2 + 13*s + 7. Let z be (-172)/(-14) - (-10)/(-35). Let c(p) = p - 4. Calculate the remainder when f(-14) is divided by c(z).
5
Let j(w) = 2*w**2 + 8*w + 5. Let c be j(-5). Let r(h) = -h**2 + 4*h + 6. Let l be r(3). Let q = l + c. Calculate the remainder when 70 is divided by q.
22
Calculate the remainder when 829 is divided by 4/(-2) + 48 + (-12)/(-4).
45
Let v(f) = f + 84. Let q be v(0). Suppose 7*p - q + 28 = 0. Suppose -7*n + 3*n + 41 = g, 0 = -2*g + 4*n + 70. Calculate the remainder when g is divided by p.
5
Let r = 20 - 28. Let m = 3 - 4. What is the remainder when (r/8)/(m/46) is divided by 16?
14
Let r(c) = c + 11. Let z be r(-11). Suppose z*b - 2*b + 22 = 0. Let a = 11 + -7. Calculate the remainder when b is divided by a.
3
Suppose -k = 5*o - 32, 3*o + 3 + 3 = 3*k. Let y = k - 6. Calculate the remainder when (y*-71)/(4 + -5) is divided by 24.
23
Suppose -3*v = -6*v + 18. Suppose d = 3*d - v. Let o = 54 - 48. Calculate the remainder when o is divided by d.
0
Let i = -1451 - -2006. Calculate the remainder when i is divided by 185.
0
Suppose 0*o - 5*o + 35 = 0. Suppose 3*s = 3*q + 66, -5*q + 70 = -2*s + o*s. What is the remainder when s is divided by 11?
7
Let w(r) = -4*r**2 + 221*r - 40. Suppose -2*l - 3*x + 67 = -0, -4*x + 62 = 2*l. What is the remainder when l is divided by w(55)?
11
Suppose -56*k + 39*k + 2380 = 0. What is the remainder when k is divided by 14?
0
Let i(n) = n**3 + 9*n**2 + 3*n + 24. Calculate the remainder when 503 is divided by i(-7).
99
Suppose 3*b - 2*y = 266, 3*b - 136 = -y + 136. Suppose 4*x - b - 170 = 0. Calculate the remainder when x is divided by 22.
21
Suppose 0 = -3*o + c + 53, -2*o + 23 = o + 5*c. Calculate the remainder when 310 is divided by o.
6
Let z = -101 - -20. Let n be (4/(-3))/(18/z). Suppose -d + 5*t - 120 = -n*d, -5*t - 48 = -2*d.