What is the remainder when k is divided by z?
6
Suppose -k - 4*z = k, 5*k - 5*z - 60 = 0. Let m be 13 + (-3 - 1) + 2. Let i = m - 6. Calculate the remainder when k is divided by i.
3
Let q(v) = -v**2 + v + 31. Let t be q(0). Let y = -19 + t. Let p = -1055 - -1090. Calculate the remainder when p is divided by y.
11
Suppose 193*a - 197*a + 92 = 0. What is the remainder when 2757 is divided by a?
20
Let m be (-7)/14 - (-50)/4. Let g be ((-164)/(-6))/(m/(-18)). Let z = g - -124. What is the remainder when z is divided by 21?
20
Let i(f) = f**3 - 2*f**2 - 3*f - 8. Let x = -12 - -16. Calculate the remainder when 47 is divided by i(x).
11
Let g = -458 + 518. What is the remainder when g is divided by 25?
10
Suppose h - 3*i = 33, h = 4*i + i + 37. Let z = h - 18. What is the remainder when z is divided by 3?
0
Suppose -3*b - 16 = -b. Calculate the remainder when 6 is divided by (b/16)/(3/(-36)).
0
Suppose 5*s + 311*f - 313*f = 837, -4*f = -4*s + 660. Calculate the remainder when s is divided by 3 + 40 - (0 + 0).
40
Suppose i + 10 = -3*n, 0*n - 4 = n. Suppose -3*l - 3*a = 0, -4*l + i*a - a = -10. Let j = 5 - 2. Calculate the remainder when j is divided by l.
1
Suppose 12*n - 14*n + 2*o = 6, -19 = 4*n + 3*o. Let a(g) = -16*g - 40. Calculate the remainder when a(n) is divided by (-1)/(18/10 - 2).
4
What is the remainder when 270 is divided by (-3069)/(-429) - 2/13?
4
Suppose -2*r - 4*k + 542 = 0, -3*k = 7*r - 8*k - 1802. What is the remainder when r is divided by 6?
3
Let c be (258/(-4) - 1)/((-1)/2). Suppose 36 = -5*k + c. Suppose -6*m = 3*o - 5*m - 111, 5*m = 0. Calculate the remainder when o is divided by k.
18
Suppose 4 = -3*t - 5*v, -4*t + 48 = -0*t - 4*v. Calculate the remainder when 20 is divided by t.
6
Let x(b) = b**2 - 13*b + 73. What is the remainder when 171 is divided by x(14)?
84
Let x(f) = 34*f**2 + 3*f. Let l be 0/(-3) - (-2)/1. Suppose 4 = l*i - 16. What is the remainder when x(1) is divided by i?
7
Let q = -83 - -152. What is the remainder when 136 is divided by q?
67
Suppose -8*j + 1357 - 445 = 0. Calculate the remainder when j is divided by 30.
24
Let p = -10 + 14. Suppose -r = -p*r + 15. What is the remainder when 2*(1 - (-3)/(-2)) + 19 is divided by r?
3
Let h = 3406 - 1727. What is the remainder when h is divided by 15?
14
Suppose 0 = -0*p - p + 2. Suppose 48 = 3*z + c - p*c, -4*z = c - 71. Calculate the remainder when z is divided by 10.
7
Let c(x) = 3*x**2 + 9*x + 13. Let l be c(-4). Suppose -o - 2*a - a = 12, -l = 5*a. Calculate the remainder when o is divided by 3.
0
Suppose 4*q + 124 = 40. Suppose 0 = 5*u + w + 2*w + 42, w = 2*u + 19. Let l = u - q. What is the remainder when l is divided by 7?
5
Let g(p) = -4*p - 2. Let s be g(2). Let a(l) = -l**2 - 13*l + 30. Calculate the remainder when a(s) is divided by 21.
18
Suppose 5*m - 4*k = 76, -m = -3*m - k + 20. What is the remainder when ((-3 - 0)*1)/(m/(-176)) is divided by 16?
12
Let h(c) = -5*c**3 - 23*c**2 - 3*c + 3. What is the remainder when 263 is divided by h(-5)?
59
Let j(c) = -c**3 - 47*c**2 + 99*c + 100. What is the remainder when 356 is divided by j(-49)?
50
Suppose 3*j + 5*o - 387 = 0, -2*o + 516 = 2*j + 2*j. What is the remainder when j is divided by 44?
41
Let a(u) = 4*u - 2. Let j(c) = 11*c - 7. Let p(l) = 8*a(l) - 3*j(l). Calculate the remainder when 32 + 0*(-1 + 2) is divided by p(-6).
10
Let k be (-10 - 776/(-24)) + 4/6. Let n(c) = -3*c**2 + 2. Let j be n(-2). Calculate the remainder when (j + k)*3*1 is divided by 10.
9
Let w(z) = z**3 - 6*z**2 - z - 31. Let c(a) = a**3 - 4*a**2 + a - 3. Let h be c(4). Calculate the remainder when 40 + -1 + 2/h is divided by w(7).
8
Suppose -d - 2*z = -2*d - 106, -3*d - 5*z = 263. What is the remainder when 52 is divided by 2/(-5) + d/(-15)?
4
Let a(p) = -13*p - 306. What is the remainder when 270 is divided by a(-34)?
134
Let a = 35 - 16. Suppose -k + 11 = -a. What is the remainder when k is divided by 8?
6
Suppose 0 = -23*u + 29*u - 336. Calculate the remainder when 278 is divided by u.
54
Let s = 602 - 572. Calculate the remainder when 929 is divided by s.
29
Suppose -6*k + 2014 = -512. Let z = k + -276. Suppose 4*w + 0*w + 20 = 0, 3*w = -2*v + z. What is the remainder when v is divided by 41?
39
Let g = -97 - -154. Suppose -z = -8*z + 448. What is the remainder when g is divided by 2 + z/4 - 3?
12
Suppose 0 = -3*n - f + 595, -2*f + 6*f + 8 = 0. What is the remainder when n is divided by 29?
25
Suppose 0*z = -4*z. Suppose -2*l + 96 + 76 = z. Let j = l - 57. What is the remainder when j is divided by 8?
5
Suppose d + 1 = 0, -2*c + 6*c - 4*d = 796. What is the remainder when c is divided by 40?
38
Let p(j) = 0*j + 11*j + 23 + 11*j + 0*j. What is the remainder when p(3) is divided by 46?
43
Let b(f) = f**2 + 7*f + 12. Let w be b(-5). Suppose -w*h = -4*g - 199 + 25, -5*h + 480 = 5*g. Calculate the remainder when h is divided by 19.
17
What is the remainder when 52*3*10/20 is divided by 45?
33
Suppose 6 = -10*v + 12*v. What is the remainder when 5 is divided by v?
2
Let r = -85 - -146. Suppose -9 = -s + r. What is the remainder when s is divided by 24?
22
Suppose -49 - 3 = -4*j. Suppose 2*d - 794 = 230. What is the remainder when d/10 - 7/35 is divided by j?
12
Suppose 2*p - 9 = -u + 30, 0 = -p + 5*u + 3. Calculate the remainder when (66/9)/((-4)/(-30)) is divided by p.
1
Let i be 32/(-6)*(-9)/6. Suppose 0 = i*q - 4*q - 84. Suppose 18 = -2*u + 30. What is the remainder when q is divided by u?
3
Let o = 13 - 16. Calculate the remainder when 13 is divided by (-3 + 3/9)*o.
5
Let y(u) = 21*u + 19. Let q be y(11). Let j be q/6 + (-2)/(-6). What is the remainder when (j/(-49))/((-1)/7) is divided by 3?
0
Suppose -8*z = -6 - 10. Suppose -2*s = 0, 41 - 9 = z*i + 2*s. What is the remainder when 30 is divided by i?
14
What is the remainder when 32 is divided by (-11)/44 + 0 + (-49)/(-4)?
8
What is the remainder when (-452)/(-6) - (-1 + (-2)/(-6)) is divided by 40?
36
Let p be ((-28)/(-5))/(2/10). Let l = -10 + p. What is the remainder when (424/(-32))/(2/(-8)) is divided by l?
17
Suppose 4*d + 0*d - 5*t = -18, -d + 5*t + 3 = 0. What is the remainder when -1 - ((-6)/d)/(4/(-196)) is divided by 8?
1
Suppose -9*y = 12 - 39. What is the remainder when y is divided by 3?
0
Let a(i) = i**2 + 7*i + 9. Let x be a(-5). Suppose 4*v - 4 = 4. Calculate the remainder when v is divided by x/(-4) - 21/(-12).
0
Let m = 55 - 99. Let f = -40 - m. What is the remainder when f is divided by 3?
1
Suppose -2*u - 14 = -5*t, 3 = 4*u + t - 13. Suppose -13 = -u*o - 2*b, -b = 2*o + 2*b - 12. Suppose o = q + 1. What is the remainder when 2 is divided by q?
0
Let b = 560 - 460. What is the remainder when b is divided by 13?
9
Suppose -865 = -49*h + 115. What is the remainder when 28 is divided by h?
8
Suppose 3*z + 109 = 2*w, 0*w + 2*w - z - 107 = 0. Let i(t) = -t**2 - 11*t + 4. Suppose 0 = q + 3*q + 40. What is the remainder when w is divided by i(q)?
11
Suppose -u + 2*p + 34 = 0, 2*p - 4*p = 5*u - 158. What is the remainder when 189 is divided by u?
29
Suppose 7*i - 9*i + 16 = 0. Calculate the remainder when 78 is divided by 28/i*(-40)/(-14).
8
Let v = -78 + 107. Let x = v - 17. Calculate the remainder when 34 is divided by x.
10
What is the remainder when (2 + 3)/((-1)/(-1)) is divided by (3/2)/((-94)/(-188))?
2
Suppose 5*a - 25 = 0, 5*c + 0*a + 3*a = 160. Calculate the remainder when c is divided by 9.
2
Suppose -5*v = 3*v - 120. Suppose 0 = 5*m - 7*m + 16. What is the remainder when v is divided by m?
7
Let n(d) = 12*d**2 - 2*d + 4*d**2 - 2 - 11*d**2. Let j be n(2). Suppose 6 + j = 5*b. What is the remainder when 4 is divided by b?
0
What is the remainder when 88 is divided by (-23)/(3 + 1 + -3 + -2)?
19
Calculate the remainder when -6*(-732)/18*(-2)/(-4) is divided by 82.
40
Let b = 1575 + -1513. Calculate the remainder when 116 is divided by b.
54
Let g = 986 + -751. Calculate the remainder when g is divided by 62.
49
Let a(q) be the first derivative of -q**3/3 + 5*q**2 - 5*q + 19. Suppose -1 - 15 = -4*t. What is the remainder when a(t) is divided by 10?
9
Let m(r) = -5 + 29 + 2*r + 31. What is the remainder when 26 is divided by m(-24)?
5
What is the remainder when (-17)/(85/2) + (-1187)/(-5) is divided by 128?
109
Let z = -817 - -850. Calculate the remai