- -6. Suppose -r*i - 8 = -6*i. Suppose -2*t + 3*h + i + 4 = 0, -5*t = -3*h - 33. What is the remainder when 15 is divided by t?
6
Suppose 88*k = 125*k - 4847. What is the remainder when 779 is divided by k?
124
Suppose 0 = 3*x + 167 - 194. Calculate the remainder when 10 is divided by x.
1
Let v(u) = -4 + 71*u - 11 + 3 - 66*u. Let c be v(6). Let r = c + 16. What is the remainder when 66 is divided by r?
32
Let x = -28 - -58. Suppose x = -j + 49. What is the remainder when j is divided by 4?
3
Let f = 516 + -135. Calculate the remainder when f/15 - (-2)/(-5) is divided by 13.
12
Let d(a) = 2*a**3 + 7*a**2 - 31*a - 3. Calculate the remainder when 8 is divided by d(-6).
2
Let r be (-12)/(-4) - (-2 + 10). Let a(m) = m**3 + 5*m**2 - 2*m - 12. Let t be a(r). Calculate the remainder when (t - (-48)/9)*12 is divided by 11.
7
Let d(k) = 15*k**2 - 3*k. Let y = 190 - 170. What is the remainder when d(2) is divided by y?
14
Suppose z + 60 = 3*q, 0 = -5*q + 3*z + 7 + 89. Suppose -4*f + q = s, 0*f - 14 = -2*s - f. Calculate the remainder when 17 is divided by s.
2
Let t(y) = y**3 - 6*y**2 - 9*y - 5. Calculate the remainder when t(9) is divided by 82.
75
Suppose 0 = -424*k + 416*k + 64. Let r = -3 + 8. What is the remainder when k is divided by r?
3
Let d(p) = -p**3 + 18*p**2 + p + 8. Let g be d(18). Suppose -g - 19 = -3*n. Let z(t) = 3*t**2 - t + 5. What is the remainder when z(-4) is divided by n?
12
Calculate the remainder when (-21 - -17)*246/(-8) is divided by 18.
15
Let t = 53 - 6. Let p = -1802 - -1810. What is the remainder when t is divided by p?
7
Let x(m) = m**2 - m. Let c be x(0). Suppose -3*b - 66 + 170 = 5*z, 4*b + 3*z - 157 = c. What is the remainder when b is divided by 22?
21
Let m = -256 - -21. Let o = -132 - m. What is the remainder when o is divided by 8?
7
Let k(f) = -f**3 - 11*f**2 + 8*f - 30. Calculate the remainder when 24 is divided by k(-12).
6
Let n = -11 + 26. Let b be 132/11*(-2)/(-6). Suppose b*a = a + 177. What is the remainder when a is divided by n?
14
Let w = 43 - -14. Let a be 141*(4 - 33/9). Suppose -a - 133 = -6*u. Calculate the remainder when w is divided by u.
27
Let g = 10 - 9. Let r be 1 + -1 + (1 - g). Suppose -2*m - m + 21 = r. What is the remainder when m is divided by 3?
1
Let p(a) = a**2 + a - 16. What is the remainder when 73 is divided by p(6)?
21
Let n = 182 + -175. Calculate the remainder when 69 is divided by n.
6
Let n(h) = h**2 + 3*h + 2. Calculate the remainder when (-184)/(-18) + (-23)/((-1242)/(-12)) is divided by n(-4).
4
Let h(i) = 5*i**2 - 24*i + 33. What is the remainder when h(6) is divided by 55?
14
Suppose -2648*i + 2653*i = -15. Let f(w) = -2*w - 5 + 4*w + 2 + 3*w**2. Calculate the remainder when 107 is divided by f(i).
17
Suppose 12*g - 5 = 775. Suppose 0 = 3*o - g - 7. What is the remainder when 84 is divided by o?
12
What is the remainder when 193 is divided by 10/6 - (1 + 184/(-3))?
7
Calculate the remainder when 9 is divided by 14/(-10)*(1 - 6).
2
Suppose 311 - 1021 = -5*u. Calculate the remainder when u is divided by 0 + -2 + 26 + -8.
14
Let w = 1323 - 1174. What is the remainder when w is divided by 56?
37
Suppose -3*z = p - 2*p - 61, -2*p + 76 = 3*z. Suppose -n - z = -5*k + 25, -3*k = n - 33. What is the remainder when 39 is divided by k?
9
Suppose 0 = -5*z, 0 = -3*c + z + 16 - 7. Suppose 3*f + w - 6 = 0, 3 = -c*w + 12. What is the remainder when (-3)/(-2) - (-1)/2 is divided by f?
0
Let x(b) = 2*b**2 + 41*b + 63. What is the remainder when 85 is divided by x(-20)?
42
Suppose 486 = 10*a + 116. Calculate the remainder when 181 is divided by a.
33
Suppose -12*y + 956 = -412. What is the remainder when y is divided by 22?
4
Let i(b) = 2*b**2 - 9*b + 3. Let c be i(6). Suppose 0 = -3*m + 63 - c. What is the remainder when (-1 - (-6 - -11))/(2/(-9)) is divided by m?
13
Let b be (-14)/(1 - 93/87). Let s = b - 143. Calculate the remainder when s is divided by 13.
8
Let o(g) = 5*g + 112. Let j(d) = -d. Let z(c) = -2*j(c) + o(c). What is the remainder when z(0) is divided by 29?
25
Let t(a) = -a**2 + 11*a - 3. Let b(x) = 13*x - 1133. What is the remainder when b(91) is divided by t(6)?
23
Suppose -24*l + 29*l = 110. Calculate the remainder when 742 is divided by l.
16
Let d(t) = 5*t**3 + 4*t**2 - 16*t + 8. Calculate the remainder when 109 is divided by d(2).
13
Let l(v) = 17*v - 1. Suppose 8*k - 54 = 2*k. What is the remainder when l(k) is divided by 39?
35
Suppose y = -4*w + 149, -2*w + y = -24 - 55. Calculate the remainder when 147 is divided by w.
33
Let k(h) = -7*h - 9. Let r be k(-7). Let w(a) = 41*a**2 + 2 - 3*a - r*a**2 + 4*a + 32*a**2. Calculate the remainder when w(-1) is divided by 18.
16
Let w(m) = m**3 + 8*m**2 - 9*m - 9. Calculate the remainder when w(-8) is divided by 16.
15
Suppose -t + w = -21, 44 = 4*t + 17*w - 13*w. What is the remainder when 48 is divided by t?
0
What is the remainder when ((197/4)/(12/(-48)))/(-1) is divided by 34?
27
Suppose 0 = -99*l + 112*l - 1274. Calculate the remainder when l is divided by 20.
18
Let t(a) = a**2 + 12*a + 38. Let y = -4 + 17. Suppose y - 5 = 2*q. What is the remainder when t(-9) is divided by q?
3
Let c = -149 - -152. Suppose -4*q - 46 = -c*w, 0 = -w - 0*w + 3*q + 22. Let r = -4 + 32. Calculate the remainder when r is divided by w.
8
Let v = 101 + -31. Calculate the remainder when v is divided by (-14 + 19 + -2)*12.
34
Suppose 46 + 58 = 8*j. Let b(y) = y**2 - 2*y - 7. Calculate the remainder when b(-8) is divided by j.
8
Let x = -4 - -9. Suppose -x*w = 2*c - 263 + 55, -3*c - 188 = -5*w. Calculate the remainder when w is divided by 21.
19
Suppose -3*l = -x - 5, 0 = -3*l - 0*x - 3*x + 21. Suppose 0 = 3*j - 5*v - 129, j = 4*j - l*v - 135. Calculate the remainder when j is divided by 25.
23
Let h be (-308)/(-16) - (-3)/(-36)*3. Let t = h - 3. What is the remainder when 47 is divided by t?
15
Let b = 501 + -432. Calculate the remainder when 478 is divided by b.
64
What is the remainder when 237 is divided by (108/(-180))/(6/(-20))?
1
Let t = -2077 - -2147. Calculate the remainder when 208 is divided by t.
68
Let t(b) = -b - 4. Let m be t(-7). Suppose n - 5 = -c + m*n, 29 = 3*c + n. What is the remainder when 11 is divided by c?
2
Suppose 15*d + 150 = 16*d + 29*d. What is the remainder when d is divided by ((-1)/((-2)/(-8)))/(-1)?
1
Let v(x) = -102*x - 947. Calculate the remainder when v(-13) is divided by 121.
16
Suppose -6*r + 10*r - 42 = -2*g, -5 = g. Calculate the remainder when 178 is divided by r.
9
Suppose 2*g = 7*g - 1070. Let t = g + -59. What is the remainder when t is divided by 39?
38
Suppose 135 = 5*i - 2*d, -i - 108 = -5*i + 5*d. What is the remainder when i is divided by 11?
5
Let y(b) = b + 4. Let i be (1 + -2)*(2 + 2). Let n be y(i). What is the remainder when (-1)/(n - 1) + 44 is divided by 12?
9
Let g(h) = 2*h**3 + 14*h**2 - 3*h - 13. What is the remainder when 206 is divided by g(-7)?
6
Suppose 0 = 3*i - 3*m - 12, 3*i = -5*m + 43 + 9. Calculate the remainder when (-1)/(644/7980 + 2/(-15)) is divided by i.
1
Let g be (-3)/2*112/12. Calculate the remainder when 136 is divided by g*-2*(-4)/(-4).
24
Let b = -104 - -191. Let x(g) = g**2 - 3*g - 7. Let l be x(5). Suppose z = l*d + 3*z - 58, 0 = -2*d - 2*z + 36. What is the remainder when b is divided by d?
21
Suppose -4*j + 17 + 52 = 5*i, -3*j = 2*i - 29. Suppose -54 = -k + 3*s, 0 = 4*k + k + 2*s - 253. Calculate the remainder when k is divided by i.
12
Suppose 1623*w = 1611*w + 1236. Calculate the remainder when w is divided by 94.
9
Let d = -89 + 164. What is the remainder when d is divided by 13?
10
Calculate the remainder when ((-383)/8)/((-97)/776) is divided by 48.
47
Let z = 60 + -91. Let w = z + 42. Calculate the remainder when w is divided by 7.
4
Let f = 4599 + -4580. Let l = -1 + 5. Suppose -4*w + 5*q - 4 = 1, 3*q = l*w - 5. Calculate the remainder when f is divided by w.
4
Let d(j) = 3*j**2 - 18*j - 30. What is the remainder when 104 is divided by d(-2)?
14
Suppose f - 6 = -3*n, f - 2*n = -8 + 19. Calculate the remainder when f is divided by 2.
1
Suppose -2 = -3*o + 4, -14 = 2*l - 4*o. What is the remainder when 5/(-4*l/84) is divided by 12?
11
Let v = 45 + -27. What is the remainder when 4992/40 + 2/10 is divided by v?
17
Suppose 136 + 542 = -6*m. Let z = -64 - m.