he remainder when k is divided by 5?
4
Let k(a) = a**2 + 48*a + 593. Calculate the remainder when k(-30) is divided by 22.
9
Suppose -105 = 4*r + 17*r. Let g(t) = 9*t - 105. Let c(q) = q - 13. Let x(n) = 33*c(n) - 4*g(n). Calculate the remainder when 27 is divided by x(r).
3
Suppose -6*f + f + 65 = 0. What is the remainder when 31992/1419 + (-18)/33 is divided by f?
9
Suppose -q = 4*i + i - 18, 4*q + 4*i = 40. What is the remainder when (q - 10)/(3/(-51)) is divided by 9?
7
Suppose -58*x + 1986 + 160 = 0. Let u(o) = -o + 10. Let c be u(5). Suppose 31 + 34 = c*j. What is the remainder when x is divided by j?
11
Suppose 18 = y + 4. What is the remainder when 94 is divided by y?
10
Let s(x) = 7*x - 9 - 2*x + 6 - x. What is the remainder when s(6) is divided by 8?
5
Let s = 22 - 16. Suppose o - 8 = -3*v, -s = 3*o + v - 30. Calculate the remainder when 14 is divided by o.
6
Let a = 64 + -57. What is the remainder when (-60 - -63)/(1 + a/(-8)) is divided by 5?
4
Let i = -40 - -39. Calculate the remainder when ((-3)/4)/(i/12) is divided by 6.
3
Let i(c) = -c**3 + 7*c**2 + 37*c - 186. Calculate the remainder when 134 is divided by i(5).
36
Let k(z) = -3*z. Let f(i) = -2*i - 37 + 37. Let w(a) = -5*f(a) + 3*k(a). Calculate the remainder when w(11) is divided by 7.
4
Let q(b) = 3*b + 7. Let y be q(-15). Let o = y - -52. What is the remainder when 51 is divided by o?
9
Suppose 2*s - 7865 = -5*b, -4*b + 8*s - 4*s + 6264 = 0. What is the remainder when b is divided by 121?
119
Let j(o) = 51*o - 284. Suppose -5*u + 40 = -w + 10, 3*u = -5*w + 18. What is the remainder when j(6) is divided by u?
4
Let u = -25 - -28. Let t be u*40/12*2. Suppose 2*s - t = 2. Calculate the remainder when 65 is divided by s.
10
Let u(d) = 4*d + 191. What is the remainder when u(-17) is divided by 4?
3
Suppose -30 = g - 70. Let s = g - -92. Suppose 0 = 2*y + 4*y - s. What is the remainder when 65 is divided by y?
21
Suppose -342 = 6*l - 25*l. Let i = -3 - -8. Suppose 2*f + 0*f = 2*t + l, i*t - 65 = -5*f. Calculate the remainder when 31 is divided by f.
9
Let s be (-140 - -1 - 4) + 2. Let d = s + 221. Suppose -164 = -3*g - w, -2*g - 3*w = -34 - d. Calculate the remainder when g is divided by 11.
10
Let p = -392 + 423. Calculate the remainder when 400 is divided by p.
28
Let h(o) = 2*o**2 + 36*o + 126. Suppose -2*t = 3*t - 260. Calculate the remainder when h(-20) is divided by t.
50
Suppose -2*a + 3 = -2*h - 1, -2*a + 3*h = -4. Suppose 3*j = -4*z + a*j + 70, -3*z + 3*j + 45 = 0. What is the remainder when z is divided by 9?
8
Let m = -200 + 146. Calculate the remainder when 6/m - 1694/(-18) is divided by 6.
4
Suppose 3*d = -97 - 41. Let j = 58 + d. Calculate the remainder when (-3 + 2)/(1/(-45)) is divided by j.
9
Let w = -13 - -15. Suppose k = -3*k + w*n + 20, -2*n = 8. Suppose k*b = -0*b + 12. What is the remainder when 13 is divided by b?
1
Let k(y) = -y**2 + 7*y - 15. Let r be k(4). Let d(o) = 5*o**2 + o - 5. What is the remainder when d(r) is divided by 19?
18
Let j = -8 + 14. Suppose -j*v + 20 = -52. What is the remainder when 59 is divided by v?
11
Let j(h) = -6*h - 10. What is the remainder when 312/(-9)*(5 - (-91)/(-14)) is divided by j(-4)?
10
Let d(p) be the first derivative of p**3 - p**2 - p + 6. What is the remainder when 19 is divided by d(2)?
5
Let f(s) = -s**2 - 30*s + 25. Calculate the remainder when f(-28) is divided by 14.
11
Suppose 0 = w - 4, -y + 3*w + 19 = 5*w. What is the remainder when 2 - 16/10 - (-14307)/95 is divided by y?
8
Let h(c) = -49*c - 30. What is the remainder when h(-5) is divided by 36?
35
Suppose 0 = -5*x + 3*z + 4179, 0 = 4*x - 3*z - 1030 - 2315. What is the remainder when x is divided by 22?
20
Suppose -4 = -l + 39. What is the remainder when l is divided by (-30)/(-105) - 220/(-14)?
11
Let a = -45 + 91. What is the remainder when a is divided by 7?
4
Suppose -4*m + m + 12 = 0, -4*q + 176 = 5*m. Let l = 5 - -1. Suppose 3*h - 18 = -3*o, -2*h + 2*o - l*o = -4. Calculate the remainder when q is divided by h.
9
Let r be (12*(4 + -3))/1. Suppose -u - r = -5*u. Let i(x) = 12*x**2 - 2*x - 6. What is the remainder when i(u) is divided by 25?
21
Suppose -5*i - 3*u - 291 + 796 = 0, -2*i + 6*u + 238 = 0. Calculate the remainder when 3429 is divided by i.
101
Let g(k) = -6*k + 6. Let b(d) = d**2 - 15*d - 40. Let n be b(17). Suppose -49 = -3*t + 17. What is the remainder when g(n) is divided by t?
20
Let c(t) = t**2 + 2 - 9 - 4 - 5*t. Let a(m) = -m**3 + 11*m**2 + 12*m + 9. Let s be a(12). What is the remainder when c(s) is divided by 9?
7
Let i(s) = -s + 37. Let t be i(-20). Suppose -2*l + 99 = -t. What is the remainder when l is divided by 16?
14
Let a(i) = -10*i**3 - 2*i**2 - 4*i - 22. What is the remainder when a(-4) is divided by 55?
52
Let n(t) = -3*t - 6. What is the remainder when 62 is divided by n(-7)?
2
What is the remainder when (1023 + -9)/13 - (-2 + -1) is divided by 51?
30
Let g(d) = 7*d + 29. Let y = 31 + -15. Calculate the remainder when g(y) is divided by 37.
30
Suppose 6*n + 4*g = 7*n - 246, g - 673 = -3*n. What is the remainder when n is divided by 90?
46
Suppose -20*w = -5108 + 808. What is the remainder when w is divided by 114?
101
Suppose -7*y + 9*y - 164 = 0. Let c be (-8)/20 - 108/5. Let h = c + 43. Calculate the remainder when y is divided by h.
19
Let o = 817 - 790. Calculate the remainder when 91 is divided by o.
10
Let i be 0*(20/4)/10. Suppose i = -2*m + 41 + 1. What is the remainder when 39 is divided by m?
18
What is the remainder when 680 is divided by 5/(10/(-93))*(-8)/12?
29
Let h be (1/5)/(2/10). Suppose h = 5*c - 44. Let y = 64 + -30. What is the remainder when y is divided by c?
7
Let d = -3 - -102. Let q(o) = -o**3 + 23*o**2 + 27*o - 47. Calculate the remainder when d is divided by q(24).
24
Let a(h) = -h**2 - 19*h + 45. Calculate the remainder when 128 is divided by a(-19).
38
Let m = -10 + 28. Let d(r) = -r**2 - 4*r - 1. Let n(c) = -5*c**2 - 16*c - 5. Let p(s) = m*d(s) - 4*n(s). Calculate the remainder when 103 is divided by p(6).
25
Suppose 5*f + 16 = 4*b, 0*b - 2*f - 28 = -4*b. Suppose 8*y = 7*y + b. Calculate the remainder when 51 is divided by y.
6
Suppose -5*g + 124 = -2*s - 91, -5*s = -25. Calculate the remainder when g is divided by 22.
1
Let v be (-88193)/(-258) - (-1)/(5 - -1). Suppose 3*m = -3*y + v, 2*y + 0*m = -4*m + 230. What is the remainder when y is divided by 29?
26
Let n(c) = c**3 + 35*c**2 + c + 62. What is the remainder when 107 is divided by n(-35)?
26
Suppose 3*s - 95 = -2*s. Let y = 103 - 73. Suppose 0 = 5*l + 5*c - y, 5*c = l + 4*c - 8. Calculate the remainder when s is divided by l.
5
Suppose -2*h = -38 - 52. Let p = 12 + h. What is the remainder when p is divided by 0 + -1 - (0 + -21)?
17
Suppose -14725 = -23*h - 72*h. Calculate the remainder when h is divided by 89.
66
Suppose -29*h + 545 + 325 = 0. Calculate the remainder when 646/12 + (-2)/(-12) is divided by h.
24
Let n = -94 - -116. Calculate the remainder when 2/(-6) - 259/(-3) is divided by n.
20
Let l(x) = 3*x**3 - 3 + 4*x**2 + 105*x + 0*x**2 - 106*x - 2*x**3. Calculate the remainder when l(2) is divided by 4.
3
Suppose -4*g = -g - 21. Let i be 2 - g - 8/(-2). What is the remainder when 17 is divided by i/(4/(-20)*1)?
2
Let p be 6*(-14)/(-3)*-3. Suppose 3*l + 264 = -8*l. Calculate the remainder when (-131)/(-7) + l/p is divided by 7.
5
Suppose 1387 = 30*h - 11*h. What is the remainder when h is divided by 11?
7
Suppose -n - 3*k - 5 = -2, 2 = -k. Suppose n*i + 2 = 4*i. Suppose 3*y - 37 = 2*y - 4*x, -i*x - 202 = -4*y. What is the remainder when y is divided by 13?
10
Suppose -2*w = -2*a - 18, -15 = -w - 21*a + 24*a. Calculate the remainder when -52*((-9)/3)/3 is divided by w.
4
Suppose 4*n + 2*b = 156, 4*b - 189 = 3*n - 8*n. What is the remainder when 64 is divided by n?
23
Suppose -5*v - 3 + 8 = -5*r, 0 = r - 3. Let c = -42 - -71. Calculate the remainder when c is divided by 0*(-2)/v + 45 + -40.
4
Let k(m) = 4*m + 36. Let p be k(-9). What is the remainder when (-1 - p)*(-10 + (-5 - -3)) is divided by 3?
0
Let t(h) be the third derivative of -h**4/4 + h**3 + 7*h**2. Let f be t(3). What is the remainder when 23 is divided by (-710)/(-60) - 2/f?
11
Suppose -p + 891 = 4*l, -5*p + 10 = -5. What is the remainder when l is divided by