 What is the remainder when k is divided by 20?
17
Let h(r) = -r**3 + 19*r**2 + 20*r + 13. Let s be 6/5*11/(165/250). Calculate the remainder when 37 is divided by h(s).
11
Suppose -175 = -91*q + 2100. Let r = -416 + 670. Let k = r - 157. Calculate the remainder when k is divided by q.
22
Suppose 8*s - 21 = 5*s. Suppose -63 = -2*b - s*b. Suppose -3*z + 3*g = -39, -3*g - 31 = -5*z + 32. Calculate the remainder when z is divided by b.
5
Let d = 34 + -8. Calculate the remainder when 56 is divided by d.
4
Suppose 0 = 3*c + m - 2696, 61*m + 2 = 62*m. What is the remainder when c is divided by 18?
16
Let g = -80 - -101. What is the remainder when 104 is divided by g?
20
Let i be 2/(-3 - (-62)/20). Suppose 6*d - i = d. Suppose -5*b + 88 = d*w, 3*w - 2*b - 69 = -5*b. What is the remainder when w is divided by 7?
6
Suppose 5*g - 3*p = 1898, 17*g - 16*g - 5*p = 406. What is the remainder when g is divided by 2/3 + 160/3?
52
Suppose -3*h - 22 = -h. Let a = h - -15. Let w(i) = i**2 + i - 180. What is the remainder when a is divided by w(-14)?
0
Suppose -288*i + 14592 = -272*i. What is the remainder when i is divided by 61?
58
Suppose f - 3 = -1. Let k(p) = 30*p - 1. Calculate the remainder when k(f) is divided by 20.
19
Let d = -13 - -25. Suppose -d*i = -10*i - 58. Calculate the remainder when i is divided by 10.
9
Let l be 183/(-33)*-15 - 18/99. Let g = 103 - l. What is the remainder when 97 is divided by g?
17
Let n(v) = v**3 - 13*v**2 - 24*v - 29. What is the remainder when n(15) is divided by 7?
5
Let q(v) = v**3 - 9*v**2 + 9*v + 21. Calculate the remainder when q(9) is divided by 45.
12
Let v = -2965 + 4583. Suppose -v - 386 = -12*a. Calculate the remainder when a is divided by 14.
13
Let l = 1 + -1. Suppose -y + 24 + 44 = l. Calculate the remainder when y is divided by 23.
22
Let o be 24/(-18)*3/2. Let x be o - 1/(2/(-10)). Suppose x = -r + 56. What is the remainder when r is divided by 14?
11
Let t(c) = -1. Let g(v) = 21*v. Let k(u) = g(u) + t(u). Calculate the remainder when 33 is divided by k(1).
13
Let y = -43 + 48. Suppose -2*k = y*k - 133. Calculate the remainder when k is divided by 7.
5
Suppose 2*n + 5 = 25. Let c be (n/(-8))/(4/(-144)). Suppose 0 = p + 3*l - c, 4*l + 15 = p + l. What is the remainder when p is divided by 12?
6
Let m(k) = 106*k + 687. What is the remainder when 456 is divided by m(-6)?
48
Let d = -9 - 8. Let j = d + 19. Suppose 4*k + s - 4 = 0, 0*k - 3*k + j = s. What is the remainder when k is divided by 2?
0
Suppose 3*j - 2*j = 2. Suppose 2*d - 24 = -2*l, -j*l - 3*d + 6*d = -29. What is the remainder when l is divided by 7?
6
Suppose 111*f - 34428 = -3*f. Calculate the remainder when f is divided by 149.
4
Let p = 12 + 31. Let c(y) = -y + 10. Let k be c(5). Suppose g = m - k*m + 61, -5*m = -5*g - 70. Calculate the remainder when p is divided by m.
13
Let h(q) = -q - 3. Let p be h(-3). Suppose p = 6*d - 4*d. What is the remainder when 33 + -4 - (2 + d) is divided by 14?
13
Let b(r) = 5*r - 160. What is the remainder when 68 is divided by b(33)?
3
Let c = 72 + 6. What is the remainder when c is divided by 64?
14
Let s = -252 - -274. What is the remainder when 78 is divided by s?
12
Let w(a) = -2*a**3 + 22*a**2 + 3*a - 6. Let l(y) = 7*y - y**2 - y**3 - 6 - 7*y**2 + 3*y**3. Calculate the remainder when l(5) is divided by w(11).
25
Suppose 4*r - 118 = 2*q, -2*q + 104 + 30 = 5*r. Calculate the remainder when 47 is divided by r.
19
Suppose -5*w + 42 - 7 = 5*k, 2*w = -k + 9. What is the remainder when 28 is divided by w?
0
Let n(x) = -x**2 + 10*x. Let t = 24 - 8. Calculate the remainder when t is divided by n(9).
7
Suppose 0 = x + 2*x - 3. Let a = 7 - x. Calculate the remainder when a is divided by (-48)/(-28) + 6/21.
0
Suppose 0 = -0*r - 2*r + 4. Suppose -3*n = -4*u - 54 + 17, -r*u + 19 = n. Suppose 0 = 4*f - 9 - n. What is the remainder when 16 is divided by f?
4
Let h(g) = 121*g**3 + g - 1. Let w = -31 + 32. Calculate the remainder when h(w) is divided by 25.
21
Let m be 1715/21 + (-1)/(-3). Suppose -10*k = -11*k + m. Calculate the remainder when k is divided by 28.
26
Suppose -22*u - 5*n + 20 = -17*u, 0 = u - 5*n + 2. Calculate the remainder when 89 is divided by u.
2
Let i(g) = g**2 + g - 4. Let z(a) = -a**2 - 5*a + 15. Let f(n) = -2*n**2 + 3*n + 3. Let u be f(3). Calculate the remainder when i(-6) is divided by z(u).
8
Let a = 15 - -111. Suppose a = -0*f + 9*f. Calculate the remainder when 48 is divided by f.
6
Suppose -j + 11*j = 100. Calculate the remainder when 38 is divided by j.
8
Let n be 4 - (-2 + -129) - 0. Suppose 5*g + 2*t = n, -4*g = -5*t - 0*t - 108. What is the remainder when 133 is divided by g?
25
Suppose -z + 4*j + 226 = 0, z - 238 = -0*j + j. What is the remainder when z is divided by 61?
59
Let a(k) = k**3 + 5*k**2 - k + 1. Suppose 3*v = 29 - 2. Let b = 6 - v. What is the remainder when a(b) is divided by 12?
10
Let a(y) = -86*y - 7. What is the remainder when a(-2) is divided by 57?
51
What is the remainder when 353 is divided by (-90)/4*(-42)/63?
8
Suppose d - 63 = 10*j - 5*j, -3*d + j = -119. What is the remainder when 185 is divided by d?
33
What is the remainder when 30 is divided by 5 + 30/(12/6)?
10
Let a(v) = -4 + 6*v**2 + 9 - 3*v**2 - 5*v - 6*v. What is the remainder when a(7) is divided by 38?
37
Suppose -7 = b - 3*n, b - 6 + 11 = 2*n. What is the remainder when 42 is divided by ((-219)/12)/b + (-2)/8?
6
Suppose -5*t + 8*t = 0. Suppose t*r = 5*r - 55. Calculate the remainder when 41 is divided by r.
8
Suppose 0 = 17*k - 549 + 56. What is the remainder when 79 is divided by k?
21
Let a(x) = 5*x**3 + 2*x**2 - 2*x + 2. Let b be a(2). Let t = b + -31. Calculate the remainder when 59 is divided by t.
14
Let q = 152 - 111. Suppose q*i + 5 = 42*i. Let t(m) = 18*m - 1. Calculate the remainder when t(1) is divided by i.
2
Calculate the remainder when 75*(2 - 1/1) is divided by 7.
5
Suppose -2*q = 5*x - 4*x - 93, 0 = 5*q - 4*x - 200. Let u = 72 - 69. Suppose 2*g - 115 = -u*g. What is the remainder when q is divided by g?
21
Let i(h) = 7*h - 15. Let k be i(12). Let q = 104 - k. Calculate the remainder when q is divided by 12.
11
Suppose -5*a = -a - 52. Let f = 29 + 14. Suppose 4*u + f = -2*m + 173, -45 = -2*u - 5*m. Calculate the remainder when u is divided by a.
9
Suppose -4*w = 2*m - 470, 0 = 5*w - 2*m - 3*m - 610. Let b = w - 112. What is the remainder when 24 is divided by b?
3
Let q(x) = 3*x**3 + 22*x**2 - 19*x + 4. What is the remainder when 52 is divided by q(-8)?
24
Suppose -65 - 50 = -c. Suppose -6*v + c - 31 = 0. Calculate the remainder when v is divided by 10.
4
Suppose 4 = -4*c + 8. Suppose -u = c - 4. Let p = -4 + 15. Calculate the remainder when p is divided by u.
2
Let q = 107 - 106. Let z = 66 - 34. What is the remainder when (-4)/((-16)/20)*25/q is divided by z?
29
Let a be (-415)/45 + 2/9. Let q = 12 + a. Suppose 0 = -2*w + q*p + 15, -3*w - 3*p = -w - 9. Calculate the remainder when 14 is divided by w.
2
Let o be (-2)/(-10) - 68/(-10). Let h = o - -15. Calculate the remainder when (430/((-30)/6))/(-1) is divided by h.
20
Let a be (-176)/(-32) + (-2)/4. Suppose -a*p + 0*p = -235. Let h(l) = l**3 + 5*l**2 - l + 5. What is the remainder when p is divided by h(-4)?
22
Let v(c) = c**3 + 8*c**2 - c - 8. Let k(j) = -j**3 - 7*j**2 - 4*j + 14. Let d be k(-6). Suppose 16 = -d*n + 4. What is the remainder when v(n) is divided by 18?
16
Calculate the remainder when 3/(-6)*(-112 + 6) is divided by 144/10 - 2/5.
11
Let m = -39 + 28. Let l(c) = -c**2 - 12*c - 1. Calculate the remainder when 25 is divided by l(m).
5
Let u(m) = -4*m - 23. Suppose -4*r = 0, 10 = 2*a - 3*a + 4*r. What is the remainder when 100 is divided by u(a)?
15
Let q = -88 + 124. Suppose 0 = -31*w - 4*w + 108 + 452. What is the remainder when q is divided by w?
4
Let l = 5 + 8. Suppose -l + 0 = -4*f + 3*a, 4*a = -2*f + 12. What is the remainder when 11 is divided by f?
3
Suppose 10*g - 799 = 2231. What is the remainder when g is divided by 62?
55
Let k(b) = -3*b**2 - 7. Let j be k(8). Let m = -105 - j. Calculate the remainder when m is divided by 25.
19
What is the remainder when (-10)/3*(-12 - 19)*3 is divided by 67?
42
Let l(b) = -12 - 5*b + 9 - 7*b. What is the remainder when (-12)/((-3)/2 - -1) is divided by l(-1)?
6
Suppose 5*x