 16.
14
Suppose 3*c - 62 = c. Let y = -30 + 17. Let t = 21 + y. What is the remainder when c is divided by t?
7
Suppose 205*w = 542 + 73. Let u(k) = 5*k. What is the remainder when u(2) is divided by w?
1
Suppose -4*i + 2*a + 21 = -131, 0 = 2*a. Suppose 0 = -117*b + 110*b + 518. Calculate the remainder when b is divided by i.
36
Let r(z) = -7*z + 9. What is the remainder when 37 is divided by r(0)?
1
Let p = 1382 - 1369. What is the remainder when 194 is divided by p?
12
Let m = -26 + 22. Calculate the remainder when -2 - ((-2 - m) + -7) is divided by 1.
0
Let b = 196 + -177. Calculate the remainder when 189 is divided by b.
18
Suppose 2*x = -3*a + 115 - 4, -5*x - 5*a = -290. Let m = 1540 - 1508. What is the remainder when x is divided by m?
31
Suppose -3*j + 160 = 2*j. Let a(g) = -48*g - 1. Let l be a(-1). Suppose 21 = 4*b - l. What is the remainder when j is divided by b?
15
Let y = -397 + 673. Suppose -r + y = -7. Let u = -196 + r. What is the remainder when u is divided by 22?
21
Let a(b) = -b**3 - 4*b**2 + 8. What is the remainder when a(-4) is divided by 0 - (-2 - (4 - 2))?
0
Let u(i) be the first derivative of -i**2/2 + 2*i + 12. Let k = -4 - -20. What is the remainder when k is divided by u(-4)?
4
Let z = 64 - 47. Calculate the remainder when 48 is divided by z.
14
Suppose g = -3*g - 456. Let x = -66 - g. What is the remainder when x is divided by 25?
23
Let q = -74 - -77. Suppose -q*y + 26 = x, -x - 4*y = -20 - 11. Calculate the remainder when 60 is divided by x.
5
Let w be 0*(-1 - 6/(-4)). Suppose 3*g - 42 = -w*g. Suppose 0*r - 5*r - 17 = -2*h, -3*r + g = h. What is the remainder when h is divided by 6?
5
Suppose -76 = -42*q + 680. What is the remainder when 323 is divided by q?
17
Let j(f) = 5*f - 4*f - 1 - 2*f - 6. Let m be j(-6). What is the remainder when 20 is divided by -7*(-1 + 0/m)?
6
Suppose m - 272 = -2*f, 4*f + 0*f - 538 = -5*m. Suppose 3*y + 20 - 32 = 0, 0 = 5*l - 2*y - 167. Calculate the remainder when f is divided by l.
32
Let x(u) = 17*u - 3*u + 3 - u**2 + 3. What is the remainder when x(13) is divided by 10?
9
Suppose b + 7*b - 384 = 0. Calculate the remainder when b is divided by 15.
3
Let d = 3 + 5. Suppose -d*k + 37 = -51. Calculate the remainder when 30 is divided by k.
8
Let h(p) = p**2 - 6*p + 4. Let v be h(6). Let k = v + -5. What is the remainder when 45 is divided by (-7 + 2 - k)*-6?
21
Let a be (0 + -2)*(3 - -1). Let q be (4 + 28/a)*0. Suppose q = -h + o + 36, 5*h - 276 + 93 = 2*o. What is the remainder when h is divided by 19?
18
Let j(r) = r + 39. Let t be 0/(-1) + 8 - -2. Calculate the remainder when j(t) is divided by 16.
1
Let c = 54 + -104. Let d = c - -62. Let a(i) = 3*i**2 + 3*i - 2. What is the remainder when a(3) is divided by d?
10
Suppose -21*p + 66*p - 2925 = 0. What is the remainder when 302 is divided by p?
42
Let u(k) = -2*k**2 - 4*k - 5. Let r be u(4). Let c = r - -75. What is the remainder when 84 is divided by c?
18
Let h be ((-75)/(-12) + 0)*(72 - -4). Suppose 0 = -4*z - z + h. What is the remainder when z is divided by 16?
15
Suppose 4*w + 13 = -5*t + 144, 132 = 4*w + 4*t. What is the remainder when w is divided by 1?
0
Let n(z) = -11*z - 35. Suppose 4*a = 2*b - 22, -3*b = 5*a - b + 32. Calculate the remainder when n(a) is divided by 16.
15
Let v be (2 - 4) + 5 + -1. Let f = 116 - -12. Suppose -f = -v*l - 0*l. Calculate the remainder when l is divided by 22.
20
Let g = -35 + 36. What is the remainder when (85/(-10))/g*(-5 + 1) is divided by 7?
6
Suppose c - 13 = -34. Let g = 35 + c. Suppose 2*b - 25 = -2*t - 3*b, 0 = 4*b - 12. Calculate the remainder when g is divided by t.
4
Suppose -3*s = -3, 0*s + s - 1 = 3*p. Suppose p = t + 2*t - 72. What is the remainder when 45 is divided by t?
21
Suppose -396 = -86*k + 68*k. Let u(t) = -t**3 - 5*t**2 + 2*t + 3. What is the remainder when u(-7) is divided by k?
21
Let y(b) = -2*b**3 + 11*b**2 + 8*b + 4. Let w(n) be the first derivative of 7*n**2 + 3*n + 2. What is the remainder when w(3) is divided by y(6)?
13
Suppose -4*s + 18 = -314. Let f(q) = 92*q - 448. What is the remainder when s is divided by f(5)?
11
Let i = 57 - 55. Suppose -17 - 105 = -i*k. Calculate the remainder when k is divided by 16.
13
Suppose -11*b + 446 = 149. Calculate the remainder when 53 is divided by b.
26
Let m(b) = b**2 - 4*b - 7. Let a(o) = 10*o + 7. Calculate the remainder when m(8) is divided by a(0).
4
Suppose -m + z = 1 - 15, -2*m + 34 = -4*z. Suppose 3*u - 6 = 0, 2*u = -2*k - 0*u + 54. What is the remainder when k is divided by m?
3
Suppose 162 - 54 = 2*d. Suppose -4*i = -46 - d. Calculate the remainder when i is divided by 12.
1
Suppose -5*x = -0*x - 35. Let t be 8/(-24) + x/3. Suppose -2*g - t*g = -44. Calculate the remainder when 32 is divided by g.
10
Let l(b) be the second derivative of 7*b**4/6 + b**3/6 - b**2/2 + 3*b. What is the remainder when (-333 - -8)/(-5) - 2/(-1) is divided by l(1)?
11
Let y = 186 - 176. Calculate the remainder when 507 is divided by y.
7
Suppose -10*l + 10 = -5*l. Suppose 0*d - 3 = -d - 5*j, 0 = -3*d - l*j + 9. Calculate the remainder when d is divided by 3.
0
Let n = -33 + 27. Let y(m) = -2*m**3 - 12*m**2 - 5*m + 9. Suppose 0 = 4*b + b - 70. Calculate the remainder when y(n) is divided by b.
11
Suppose 3*w - 63*s + 67*s - 47 = 0, -3*s = w - 14. What is the remainder when 656 is divided by w?
10
Let u = -14 - -17. Suppose -4*o + 4 = 3*s, -s + 4*s - u*o = 18. Suppose -3*r + 2*r - 71 = -s*m, -3*r = 3*m - 57. What is the remainder when m is divided by 11?
7
Let p(x) = -7*x**2 - 3*x - 6. Let y(u) = -u**2. Let m(t) = -p(t) + 4*y(t). Calculate the remainder when 21 is divided by m(-2).
9
Let f = -4 + 7. Let o(m) = -m**2 - 27*m + 65. Let l be o(-30). Let n = l + 31. What is the remainder when n is divided by f?
0
Let g(d) = -d**3 - 7*d**2 - 10*d - 8. Let q be g(-6). Suppose 0 = -5*o + q + 9. Let j = o - -30. What is the remainder when 138 is divided by j?
33
Suppose -31*a = -32*a + 48. Let m = a + -30. Calculate the remainder when 53 is divided by m.
17
Let o be (-62)/2 + (6 - 5). Let g be (78/o)/((-1)/5). What is the remainder when 21 is divided by -3 + 3 + g + 0?
8
Suppose 2*b + 20 = -2*b, 3*b + 39 = 4*i. What is the remainder when (-3308)/(-28) + i/(-42) is divided by 30?
28
Suppose -5*d - 4*g + 108 - 10 = 0, 0 = 3*d + g - 56. What is the remainder when 33 is divided by d?
15
Calculate the remainder when 6*(-1)/(328/56 + -6) is divided by 16 - (1 + 0/2).
12
Let f(q) = 8*q**2 + 55*q + 6. What is the remainder when 261 is divided by f(-8)?
27
Let v(i) = -3 + 0*i + 0 - 88*i - 1. What is the remainder when v(-1) is divided by 22?
18
Let q(n) = 64*n + 537. What is the remainder when 315 is divided by q(-8)?
15
Calculate the remainder when (-27 - 3)/(2/(-27)) is divided by 14.
13
What is the remainder when 271 is divided by (-10)/20 + 183/2?
89
Let x = 20 + -16. Suppose x*m = -83 + 1379. Let g = m + -227. Calculate the remainder when g is divided by 25.
22
Let u = 17 - -64. Suppose 26 - u = -5*i. What is the remainder when 20 is divided by i?
9
Let t be 2366/(-42) - ((-7)/3 + 2). Calculate the remainder when 0 + (-3736)/t + 2/7 is divided by (-4)/14 - 726/(-42).
16
Let p(w) = 10*w - 8*w**2 + 6*w**2 + 14 - w**3 - w**2 + w**2. Calculate the remainder when p(-6) is divided by 20.
18
Let n(s) = 3*s**2 - 14*s - 3. Calculate the remainder when n(-5) is divided by 48.
46
Let d(f) = -f**3 - f**2 + 39*f - 6. What is the remainder when 63 is divided by d(-7)?
3
Let w = 138 - 22. Calculate the remainder when 2203 is divided by w.
115
Suppose 1204 = -54*b + 5740. What is the remainder when b is divided by 24?
12
Let u(a) = -4*a**2 + 26*a + 4. Calculate the remainder when 64 is divided by u(5).
30
Let c(l) = -13*l - 4. Let d be c(-10). Suppose 6*t - 3*t = -d. Let i = -23 - t. What is the remainder when i is divided by 11?
8
Suppose -7*v + 56 + 49 = 0. Calculate the remainder when 205 is divided by v.
10
Suppose 0 = -4*r - 3*x + 45, 5*r - 34*x = -37*x + 54. What is the remainder when 196 is divided by r?
7
Suppose 5*x - 23 = -4*g, 0 + 1 = 3*x - 4*g. Suppose -2*y - y = -c + 30, -2*y - 27 = -c. Calculate the remainder when c/6 - (-2)/4 is divided by x.
1
Calculate the remainder when (-1569)/(-21) - ((-38)/(-14) + -3) is divided by 1 + 0 + 28 - (1 - -2).
2