 r*b = -140. Calculate the remainder when b is divided by 10.
8
Suppose 336 = 3*b + 5*b. Suppose 438 = 3*q - b. Calculate the remainder when q is divided by 9.
7
Let s = -25 - -43. Let z = 102 - 181. What is the remainder when s is divided by 14/(-77) + z/(-11)?
4
Suppose -3*k - 2*j = 2*j - 2, k = -2*j + 4. What is the remainder when 32 is divided by (-50)/k + 14/21?
5
Suppose 4*g = 2*r + 3*r - 300, 120 = 2*r + 5*g. Suppose -5*v + r = -2*v. Calculate the remainder when v is divided by 7.
6
Let x = -25 + 80. Calculate the remainder when 383 is divided by x.
53
Let k(t) = -t**2 + 12*t + 32. Let y be k(14). Suppose -5*s + 25 - 100 = -3*f, 4*f = y*s + 92. Calculate the remainder when 64 is divided by f.
4
Suppose -4 - 6 = -5*l. Let b be 0/(l/(-4)*4). Suppose b*k + k = 29. Calculate the remainder when k is divided by 8.
5
Let w(m) be the third derivative of 5*m**4/24 + m**3/6 - 10*m**2. Suppose -85 = -5*a + 5*v, -5*v + v - 23 = -a. What is the remainder when w(8) is divided by a?
11
Suppose -27*s + 26*s - 14 = -r, 2*r + 5*s = 49. What is the remainder when (-4)/(-18) + 824/18 is divided by r?
12
Suppose -d - 64 = -2*k, 2*d + 8*k + 110 = 6*k. Calculate the remainder when (15 - 11)/(-1 - 62/d) is divided by 20.
18
Let s = 131 + -43. What is the remainder when s is divided by 4/12 + (-4 - -5)*132/9?
13
Suppose t - 23 = -3*l, 2*t - l + 8 = 75. What is the remainder when 152 is divided by t?
24
Suppose 0 = -5*f, -3*s + 6*f - 11*f = -117. What is the remainder when 308 is divided by s?
35
Let o(b) = -9*b - 53. Calculate the remainder when 88 is divided by o(-11).
42
Suppose l - 3*x = -l + 1, -5*x = 5*l + 35. Let g be l - -5 - (1 + 0). Suppose g = 5*w - 26 - 9. What is the remainder when 25 is divided by w?
4
Let g(t) = 2*t**2 - 10. Suppose 3*k = -2*r + 82, 106 = -62*k + 66*k + 2*r. What is the remainder when g(7) is divided by k?
16
Suppose 5*x + 264 = 264. Let i(a) be the first derivative of a**2/2 + 25*a - 1. Calculate the remainder when i(x) is divided by 7.
4
Calculate the remainder when 277 - 54/36*(3 - 1) is divided by 11.
10
Suppose -3*d + 12 = -4*p, -15 = 5*d - p + 6*p. Suppose d = 3*f - 9*f + 414. Calculate the remainder when f is divided by 36.
33
Let z be (-82)/(-3) - (-2)/(-6). Let s(l) = 2*l**2 - 2*l + 9. Calculate the remainder when s(2) is divided by z/5 + (-6)/15.
3
Suppose -195 = -4*o + 5*h, -o + 0*o + 60 = h. Suppose 632 = 2*k + k + 4*r, 2*r = 2*k - 440. What is the remainder when k is divided by o?
51
Suppose 2*v - 21 = n, -5*n = -n + 4. What is the remainder when 39 is divided by v?
9
Let y = -108 - -2032. Calculate the remainder when y is divided by 77.
76
Let p be (-23)/46 + 18/4. Suppose p*j = -2*c + 20, -3*c + 11 = 4*j - 11. Calculate the remainder when 3 is divided by c.
1
Let p = -61 - -31. Let q = 42 + p. What is the remainder when 44 is divided by q?
8
Let z be 612/(-63) + 7 + (-2)/7. Let r be (-402)/(-33) - (-6)/(-33). What is the remainder when 60 is divided by (-54)/r*14/z?
18
Let a = -28 - -36. Suppose a = -2*o, -11 = y + 3*o + 2*o. Calculate the remainder when 32 is divided by y.
5
Let p = -136 - -155. Calculate the remainder when 143 is divided by p.
10
Suppose 5*f + 10 = 3*s, 2*f + 0*f - 17 = -3*s. Calculate the remainder when 1*8 + 8/4 is divided by (-1)/s - 80/(-25).
1
Let r(i) = i**2 + 3*i + 5. Let z(t) = -t + 3. Let f be z(-3). Let g be f - (-2 + 1) - 0. What is the remainder when r(g) is divided by 19?
18
Calculate the remainder when 5 + (-8 - -1527)/7 is divided by 32.
30
Let p = 48 - 29. Suppose o - p = 20. What is the remainder when o is divided by 10?
9
Let x = 69 - 47. Let d = x + -16. Suppose -8*r + 42 = -d*r. What is the remainder when r is divided by 12?
9
Calculate the remainder when 18 is divided by (8/(96/90))/((-6)/(-8)).
8
Suppose 2*k + 4*d = -5 + 21, 4*d = -3*k + 28. Suppose w - k = 7. Suppose -3*g + 5 = -w. What is the remainder when 12 is divided by g?
4
Let y(a) = -a**2 + 2*a + 6. Let p be y(3). Suppose -p*f - 5*i = -162, f = -0*f + 3*i + 68. Calculate the remainder when f is divided by 16.
11
Let u = -407 - -662. Calculate the remainder when u is divided by 16.
15
Let w(r) = -r**2 - r. Let s(g) = 2*g**2 + 22*g + 42. Let t(y) = -s(y) - w(y). Calculate the remainder when t(-17) is divided by 15.
11
Let s(h) = -h**2 + 8*h - 3. Let q = 0 - 2. Calculate the remainder when s(6) is divided by 5 - (0/q)/(-1).
4
Suppose -3*v + 3*p + 15 = 0, -p + 6*p = 2*v - 16. Suppose -4*l + 5*w - w = 4, 0 = -3*l + w - 5. Let s = l - -5. What is the remainder when v is divided by s?
0
Let l = -197 + 230. Let r(u) = 3*u**2 + 10*u - 7. What is the remainder when r(6) is divided by l?
29
Let n(h) = -12*h**3 + 3*h**2 + 8*h + 7. What is the remainder when n(-2) is divided by (-62)/(-3) + 4/(-6)?
19
Let o be 2 - 14/8 - 190/(-8). Calculate the remainder when 60 is divided by 3*(-4)/o*-32.
12
Suppose 0 = -2*j - 6*j + 128. What is the remainder when 109 is divided by j?
13
Let g = -1024 + 1072. What is the remainder when 478 is divided by g?
46
Suppose 2*w - 6 = 2*k - 5*k, -2*k = 3*w - 4. Suppose -16 = -4*g + f, 0 = -5*g - w*g + f + 20. Calculate the remainder when 8 is divided by g.
0
Suppose 0 = 3*c - 3*g - 897, 679 - 87 = 2*c + g. Calculate the remainder when c is divided by 13.
11
Let r = -313 + 368. Calculate the remainder when 164 is divided by r.
54
Suppose -4*k - 5*l + 42 = 0, -k + 45 = 2*k - 3*l. Suppose 117 = -j + 4*j. Calculate the remainder when j is divided by -5 - (-10)/5*k.
18
What is the remainder when (-149)/3*(-36 + 15) is divided by 19?
17
Let g(j) = -j**2 + 18*j - 31. What is the remainder when 347 is divided by g(15)?
11
Suppose 10*y + 422 = 772. What is the remainder when 90 is divided by y?
20
Let d = 3 - -9. Suppose -62 = -3*b - 4*x, 0 = -4*b - x - 0*x + 61. Calculate the remainder when b is divided by (-12)/36*-2*d.
6
Let f = 1462 + -1207. Calculate the remainder when f is divided by 131.
124
Suppose 5*r - 2 = 3*r, r = -4*v + 457. Let s be (3 - (-16)/(-6))*v. Suppose 17 + s = 5*y. Calculate the remainder when 42 is divided by y.
9
Let j be (-2)/10 + (-5)/(-25). Let y(x) = 27*x**2 - 3*x. Let d be y(2). Suppose j = -4*l + d + 14. What is the remainder when l is divided by 10?
9
Let r(x) = x**2 + 18*x + 25. Let i be r(-12). Let u = 53 + i. What is the remainder when 41 is divided by u?
5
Let c(t) = 3*t**3 - t**2 + 3*t - 1. Calculate the remainder when 221 is divided by c(2).
21
What is the remainder when 0 + 3291/(-3)*-1 is divided by 100?
97
Let t(g) = 4*g**2 - 1. Let x = 1637 - 1620. What is the remainder when t(4) is divided by x?
12
Suppose 4*z - 5 = 5*l, -l + 2*l = 2*z - 1. Suppose 0 = 4*m - z*m - 36. What is the remainder when 33 is divided by m?
6
Suppose -2*t + 5*c = 26 - 14, 4*c = -5*t + 36. Let u(h) = 2*h**2 - 2*h + 1. What is the remainder when u(3) is divided by t?
1
Suppose 5*a + y = 52, 5 = a - y + 3*y. Calculate the remainder when 53 is divided by a.
9
Let r be (-4 + 5)*-1 - 11. Let z be (-3 + (-44)/r)*-12. Calculate the remainder when 57 is divided by (-45)/(-6)*z/(-3).
17
Let c(f) = 3*f**2 - 2*f + 7. Suppose -13*d - 55 + 133 = 0. What is the remainder when c(-3) is divided by d?
4
Suppose n - 24 = -25, -241 = -4*i + n. Calculate the remainder when 160 is divided by i.
40
Let m(j) = j**3 - 13*j**2 - 31*j + 35. What is the remainder when 74 is divided by m(15)?
14
Suppose -n + u = -38, 5*u + 205 = 4*n + 51. What is the remainder when n is divided by ((-8)/(-6))/((-2)/(-33))?
14
Suppose -13*i + 286 = -1638. Calculate the remainder when i is divided by 15.
13
Let w(s) = -s**3 - 11*s**2 - 3*s - 16. Let b be (-1)/(((-3)/(-26))/((-3)/(-2))). Calculate the remainder when w(b) is divided by 26.
23
Let m(i) = -i**3 + 21*i**2 + i - 8. Suppose -z - 4*z - 167 = -3*n, -113 = -2*n + 3*z. Calculate the remainder when n is divided by m(21).
12
Suppose 4*d + 5*i = 263, 2*i + 57 = -4*d + 335. Calculate the remainder when 200 is divided by d.
56
Suppose 0*k + 4*k = 0. Suppose 5*y - 6*y + 7 = k. What is the remainder when y is divided by 3?
1
Suppose 4*w = -l + 35, -14*l + 9*l + 4*w + 223 = 0. Let c = l - 18. Calculate the remainder when c is divided by 16.
9
Suppose 16*p - 13 = 15*p. Calculate the remainder when 64 is divided by p.
12
Let v(z) = -z**2 + 8*z - 4. Let m be v(7). Let x = m + 5. Calculate the r