
Let b = 640 - 614. Calculate the remainder when 123 is divided by b.
19
Suppose 0 = 9*k - 197 + 62. What is the remainder when 31 is divided by k?
1
Let r = -501 + 704. What is the remainder when r is divided by 71?
61
Let s be (-3)/21 - (1 + 948/(-21)). Suppose -5*i + s = -3*i. Calculate the remainder when 108 is divided by i.
20
Let x = 1455 + -1426. What is the remainder when 81 is divided by x?
23
Suppose -3*i + y = -10, -4*y - 8 = i + 6. Let f be 52/65*5/i. Suppose -f*l = -g - 134, -l + 5*g + 107 = 31. Calculate the remainder when l is divided by 34.
32
What is the remainder when 2181/5*5/3 is divided by 10?
7
Suppose -6*u - 16 = 4*a - 3*u, -16 = 4*u. Let j(y) = -19*y. Calculate the remainder when 130 is divided by j(a).
16
Suppose -195 = 36*c - 41*c + 3*k, 117 = 3*c - 2*k. Calculate the remainder when 1480 is divided by c.
37
Suppose 11*j - 130 = 200. Calculate the remainder when 72 is divided by j.
12
Let q(n) = n + 3. Let f = 14 - 18. Let g(w) = -w**2 - 6*w - 4. Let b be g(f). Calculate the remainder when 26 is divided by q(b).
5
Let l(n) = n - 7. Let v be l(9). Suppose 2*o + 2*o = v*z - 40, 0 = 4*o + 16. Calculate the remainder when 35 is divided by z.
11
Let u(m) = 3*m**2 + 10*m - 171. What is the remainder when u(8) is divided by 3?
2
Let l = -5621 - -5654. Let d(g) = 2*g**3 - 5*g**2 - 5*g - 5. What is the remainder when d(5) is divided by l?
29
Let r be ((-2)/(12/(-39)))/(2/12). Suppose -2*l + 34 = b - r, 4*b + 5*l - 286 = 0. What is the remainder when b is divided by 25?
19
Let j(s) = s**2 - 21*s - 31. Let n be j(22). Let i = 8 - n. Calculate the remainder when 31 is divided by i.
14
What is the remainder when 1/(0 + (-2965)/(-740) + -4) is divided by 139?
9
Let l = -107 + 178. Calculate the remainder when 349 is divided by l.
65
Suppose m - 6*m - 47 = -a, 4*a + 2*m - 166 = 0. What is the remainder when a is divided by 24?
18
Suppose -2*k - 2*f = 3*k - 35, 5*k = -f + 30. Suppose 5*r - 75 = h, -k*h - 14 - 16 = -2*r. What is the remainder when r is divided by 11?
4
Let v = 6 - 3. Suppose v*z = 45 + 21. Suppose h - z = -1. Calculate the remainder when h is divided by 12.
9
Suppose -3*v = 4*s - 44 - 4, 0 = 3*v + s - 48. Let x = 88 + -10. What is the remainder when x is divided by v?
14
Let x(z) = -2*z**3 - 2*z**2 - 2*z - 4. Let n = 80 + -83. What is the remainder when 74 is divided by x(n)?
36
Suppose 19 = 5*m - 4*y - 11, -5*m + 35 = -3*y. Calculate the remainder when 53 is divided by m.
3
Let t = 24 - 18. Suppose -2*w + t*w - 16 = 0, -2*w = -v + 70. What is the remainder when v is divided by (-15)/(-2)*48/18?
18
What is the remainder when 8/(-14) + 15*424/56 is divided by 15?
8
Suppose -7*f = -36 - 160. Suppose k - 3*m = -2, -16 = -k - m - 2. Calculate the remainder when f is divided by k.
8
Let b = -404 - -286. Let f = 178 + b. What is the remainder when f is divided by 21?
18
Let z(w) = -w**3 - 19*w**2 - 66*w - 15. Calculate the remainder when z(-16) is divided by 69.
66
Let l(w) = -w**3 + 15*w**2 + 19*w - 10. Let y = 28 + -31. Let j = y - -19. What is the remainder when l(j) is divided by 10?
8
Let a = 1132 - 1110. Calculate the remainder when 197 is divided by a.
21
Let l(n) = n + 26. Let t(f) = -f**2 + 12*f + 10. What is the remainder when l(14) is divided by t(11)?
19
Suppose -o = 4*o - 555. Let s(i) = i**3 - 2*i**2 - 2*i + 4. Suppose -3*u + 2 = -h, 4 = u + 2. What is the remainder when o is divided by s(h)?
27
What is the remainder when (-21 - -22)/(1 - (-73)/(-74)) is divided by 10 + (0 - -1) + 0?
8
Let l(y) = y**2 + 10*y - 24. Suppose m = -4*p - 31 - 19, 3*p + 37 = -m. What is the remainder when l(p) is divided by 6?
3
Let w = -21 + 23. What is the remainder when 33 is divided by 2*(11/w + -2)?
5
Suppose -4*a + 26 = -42. Calculate the remainder when 18 is divided by a/68 - 27/(-4).
4
Let j(g) = 13*g - 57. Suppose -9*z + 57 = 3. Suppose 0 = -i + 8. Calculate the remainder when j(z) is divided by i.
5
Calculate the remainder when 512 is divided by ((-108)/90)/(6/(-520)).
96
Let v = 89 + -89. Suppose s = -5*i - v*i + 42, -s + i = -54. Calculate the remainder when s is divided by 18.
16
What is the remainder when 83 is divided by 7*((-5)/5 - -4)?
20
Let b be 54/(-4) + 1/(-2). Suppose 152 - 14 = 46*v. Calculate the remainder when b*20/(-24)*v is divided by 13.
9
Let m(w) = -3 + 4 - 1 - w - 3. Let r be m(0). What is the remainder when 17 is divided by r/((-3)/20*2)?
7
Let o(b) = b. Let u(h) = 2*h - 1. Let r(f) = 3*o(f) - u(f). Let p be r(-7). Let m = 8 + p. Calculate the remainder when 2 is divided by m.
0
Let q = -5 + -45. Suppose 3*m + h + 4*h = -293, 2*m - 5*h = -187. Let d = q - m. Calculate the remainder when d is divided by 16.
14
Suppose 8*m - 165 = 7*m. Calculate the remainder when m/44*(2/(-1) + 6) is divided by 8.
7
Let l be (-3)/(((-8)/(-4))/(-2)). Suppose -220 = l*k - 7*k. Calculate the remainder when k is divided by 14.
13
Let l = -3 + 5. Suppose -11*k - 36 = -13*k. Let b(m) = m - 16. Calculate the remainder when b(k) is divided by l.
0
Let c(r) = 3*r. Let i be c(9). Let b = i - 14. Calculate the remainder when b is divided by (13/3 - 2)/((-25)/(-75)).
6
Suppose r - 4*r + 282 = 0. Let o be ((-1)/(-3))/((-55)/27 + 2). Let c(h) = h**3 + 8*h**2 - 13*h - 12. Calculate the remainder when r is divided by c(o).
22
Let v(t) = 3*t - 6 + 154*t**3 - 153*t**3 + 3*t - 3*t**2. What is the remainder when 65 is divided by v(4)?
31
Let y(d) = -d - 5. Let p be y(-9). Suppose 0*l + 9 = -3*w + 3*l, -3*w + 5*l = 17. What is the remainder when 4/((-16)/(-1))*p is divided by w?
0
Suppose 0 = 7*s - 13*s. Calculate the remainder when (-9 + -28)/((-1)/3 + s) is divided by 28.
27
Suppose -o - 4 = -106. What is the remainder when o is divided by 52 - (2 + (-13 - -11))?
50
Calculate the remainder when -6*3493/(-14) - 9/(-3) is divided by 9.
6
What is the remainder when ((-18)/(-44) + 20/220)*308 is divided by 13?
11
Let i(w) = 30*w**2 - 18*w - 40. What is the remainder when i(-4) is divided by 103?
100
Suppose 2*o - 56 = -p - 22, -51 = -3*o - p. Let j be (-62)/3 + (-4)/12*-2. What is the remainder when (0 + (-208)/(-4))*(-25)/j is divided by o?
14
Suppose 20 = -h + 25. Suppose 0 = -h*y - f + 93, -2*y = -0*y + 5*f - 28. What is the remainder when 32 is divided by y?
13
Suppose 52 + 36 = 4*a. Let i(b) = 3*b**2 - 13*b + 3. What is the remainder when i(10) is divided by a?
19
Suppose -5*p + 4*u = -56, p - u = 33 - 21. Calculate the remainder when 156 is divided by p.
4
Suppose 2*w + 21*x - 20*x = 2516, 5*w - 6285 = -5*x. Calculate the remainder when w is divided by 70.
69
Let u = 549 - 509. Calculate the remainder when 195 is divided by u.
35
Let w(t) = 3*t + 117. Calculate the remainder when w(-25) is divided by 22.
20
Suppose -565 + 322 = -9*w. What is the remainder when 314 is divided by w?
17
Suppose 5*h = 448 - 313. Calculate the remainder when 107 is divided by h.
26
Let n(m) = -397*m**3 - m**2 + 1. What is the remainder when n(-1) is divided by 101?
94
Suppose 0 = -2*j - 12 + 2. Let r be -2 - j - (-11 - -9). What is the remainder when 69 is divided by (r - 10)*36/(-10)?
15
Let h(v) = v + 6. Let a(i) = -3*i**2 - 21*i + 83. What is the remainder when a(-9) is divided by h(5)?
7
Suppose 2*l + 3*v = 14, -l + 2*l + 5*v = 0. Suppose -15 + l = -5*k. Let b(z) = 2*z + 3. Calculate the remainder when 18 is divided by b(k).
3
Calculate the remainder when 713 is divided by -1 - 4*1 - 37576/(-488).
65
Calculate the remainder when ((-2)/16)/((-4)/608) is divided by (0 + (-8)/10)*-5.
3
Calculate the remainder when (6 - (8 - 247)) + (2 - -4) is divided by 11.
9
Suppose -5*w = c - 205, -7*c + 5*w + 695 = -4*c. Calculate the remainder when c is divided by 12.
9
Suppose 30*x - 33*x + 798 = 0. Calculate the remainder when x/6 - 2*4/24 is divided by 8.
4
Let z(p) = -6*p + 130. Calculate the remainder when z(-24) is divided by 93.
88
Let d = -3 - -7. Let i(s) = s**3 - 3*s**2 - 4*s + 4. Let c be i(d). Suppose 10 = -c*g + 38. Calculate the remainder when 20 is divided by g.
6
Suppose -c - 22 = -3*c. Let y = 12 - c. Suppose -y = -m + 9. What is the remainder when 18 is divided by m?
8
Suppose -3*i = 4*u, 0*u + u = i. Let x be 1 - (-1 + 34 - u). What is the remainder when 67 is divided by (-6)/(-2) + (-1 - x)?
33
Let q = 23 - 16. Let x(b) = -3 - 5*b + 3 - 9 + 2*b