66980)/(-1573) is divided by 22.
18
Suppose 0 = -52*a - 116 + 1780. Calculate the remainder when 222 is divided by a.
30
Suppose -117 = -41*q + 40*q + 4*n, -311 = -3*q + 2*n. Calculate the remainder when q is divided by 39.
23
Let d(r) = r + 25. Let p = -48 - -86. Suppose 6*b = 8*b + p. Calculate the remainder when 33 is divided by d(b).
3
Calculate the remainder when 0 - (-9 - -8) - -48 is divided by 9.
4
Let t(s) = s**3 - 20*s**2 - 15*s - 88. Calculate the remainder when 71 is divided by t(21).
33
Suppose -3*j = -677 - 328. Suppose -3*b + j = 2*b. What is the remainder when b is divided by 17?
16
Let n be ((-66)/(-8))/(2/16). Suppose 0 = 4*a + 2*t - n, 3*t - 7*t = 2*a - 18. Suppose 0 = -7*x + 2*x + 375. Calculate the remainder when x is divided by a.
18
Suppose 1988 = -35*y + 39*y. Calculate the remainder when y is divided by 20.
17
Suppose 3*n = -0*n + 24. Let h = -25 + 58. Let j = h - 4. What is the remainder when j is divided by n?
5
Suppose 4*r - 4 = 36. Suppose r = 7*n - 2*n. Suppose n = y - 6. Calculate the remainder when 10 is divided by y.
2
Let m(h) = -h**2 + 13*h + 33. Let a be m(15). Let g(y) = -y. What is the remainder when g(-2) is divided by 5*(-24)/(-30) - a?
0
Let r = 8 - 12. Let y be 21/49 - (-188)/(-14). Let n = r - y. Calculate the remainder when n is divided by 6.
3
What is the remainder when 31 is divided by (-3)/12*2*(-14 + -2)?
7
Suppose -2*v - 9 = -5*v. Let b = 13 - 16. Calculate the remainder when 3/(36/(-15) - b) is divided by v.
2
Suppose 0 = -b + 4*b + 4*a + 64, 3*b + 61 = -a. Let y = b - -28. Let f = 104 - 73. What is the remainder when f is divided by y?
7
Suppose 0 = -38*x + 43*x. What is the remainder when -1*(x - 1)*11 is divided by 4?
3
Let s = -33 - -23. Let p(g) = -2*g - 5. Calculate the remainder when p(s) is divided by 6.
3
Suppose z = -3, 2*m - 4*z = 4*m - 4. Calculate the remainder when m is divided by 114/16 + (-4)/32.
1
Let n = -1428 + 1462. Let f(g) = -g + 2. Let p be f(2). Suppose 4*c + 0*c - 36 = p. Calculate the remainder when n is divided by c.
7
Let l(c) = c**3 + 20*c**2 - 262*c + 23. Suppose 5*h - 140 = 3*b, 0 = -0*h - 2*h + 2*b + 56. What is the remainder when l(-29) is divided by h?
24
Let k = 4 - 2. Calculate the remainder when k is divided by (-8)/56 - 225/(-105).
0
Let b(i) be the first derivative of -i**2/2 + 13*i + 15. Suppose 2*c = -2*z, 4*z = -z - 2*c + 9. Calculate the remainder when z is divided by b(12).
0
Suppose 11 + 9 = -5*h. Let r(y) = y**3 + 5*y**2 + 4*y + 3. Let a be r(h). Let s(l) = l**3 + l**2 + 2*l - 5. Calculate the remainder when 147 is divided by s(a).
36
Let g(m) be the second derivative of m**4/12 + 5*m**3/2 + 25*m**2/2 + 30*m. What is the remainder when g(-14) is divided by 4?
3
Suppose 5*u + 5*y - 65 = 0, -3*u = 2*u + 3*y - 71. Let c(m) = -5 + 10 - 4 - u*m. What is the remainder when 66 is divided by c(-1)?
15
Let z(n) = -2*n - 15. Let i(u) = -4*u - 31. Let x be (-60)/(-14) + (-12)/42. Let s(v) = x*i(v) - 7*z(v). What is the remainder when 25 is divided by s(-16)?
12
Let i(r) = -12*r - 9. Let o be i(-11). Suppose -9*m = -6*m - o. What is the remainder when 162 is divided by m?
39
Suppose 40*r - 34*r = 18. Let q be (-5 + 7)*(-3)/(-2). Suppose 13 = 4*h + 2*p - q, -3*p = -4*h + 6. Calculate the remainder when h is divided by r.
0
Calculate the remainder when 2/(3/((-1596)/(-8))) is divided by 27.
25
Let x(k) = -k**3 - 8*k**2 - 7*k + 2. Let t be x(-7). Suppose 2*s = -t*s + 24. Suppose -s*m + 5*m = -11. What is the remainder when m is divided by 3?
2
Suppose -3*q + 5 = -5*n, 3*n - 15 = -0*n. What is the remainder when 18 is divided by q?
8
Suppose 0 = 4*m - 5*t - 3791, 4729 = 5*m - 3*t - 0*t. Suppose m = 10*f + 204. Calculate the remainder when f is divided by 15.
14
Let o be (-12)/4 + (-6)/(-2). Suppose -2*c + 40 = -5*w + 137, -3*w + 5*c + 62 = o. What is the remainder when 74 is divided by w?
17
Suppose -5*w = -1 - 9. Suppose 5*d - 35 = w*y + y, 3*d = -y + 21. What is the remainder when (-490)/(-25) - -3*2/15 is divided by d?
6
Let v = -137 + 242. Let k = -86 + v. What is the remainder when 74 is divided by k?
17
Let o(g) = -g + 5. Suppose -5*k + 100*y = 91*y - 104, 0 = y + 1. Calculate the remainder when k is divided by o(-6).
8
Let k(b) = -b**2 - 8*b + 117. Calculate the remainder when k(-13) is divided by 15.
7
Let y be -3 + (-20)/(-2) + -3. Suppose 3*n - 69 = o, y*n - 42 = -4*o + 34. What is the remainder when ((-16)/20)/(2/(-215)) is divided by n?
20
Let a = 88 - 76. Suppose 66 + a = 3*s. What is the remainder when 123 is divided by s?
19
Suppose -48 = 45*m - 51*m. Calculate the remainder when 253 is divided by m.
5
Let u = 93 - 51. Let x = 140 - 125. What is the remainder when u is divided by x?
12
Suppose 42*g - 2609 = 2221. What is the remainder when g is divided by 42?
31
Suppose c = -3*c + 240. Suppose 2*i + 82 = 50. What is the remainder when c is divided by (62/(-4))/(8/i)?
29
Suppose -3*n - 18 = -c, 0*c - 4*n + 28 = 3*c. Let z(x) = -x**3 + 13*x**2 - 9*x. What is the remainder when z(c) is divided by 7?
1
Suppose -31*w + 190 = -12*w. Calculate the remainder when w is divided by 6.
4
Let y(h) = 12*h - 8. Let j(t) = t - 1. Let v(f) = 22*j(f) - 2*y(f). Calculate the remainder when (32/(-24))/((-4)/30) is divided by v(-6).
4
Suppose 3*f = 2*v + v - 66, 0 = -3*v - 4*f + 38. Calculate the remainder when v is divided by 5.
3
Let g = -437 + 492. Calculate the remainder when g is divided by 28.
27
Calculate the remainder when 145/(-29) - 267/(-3) is divided by 20.
4
Let l(y) = 7*y**3 - 2*y**2 - 10*y + 19. What is the remainder when 178 is divided by l(2)?
37
Let v(b) = b**3 + 2*b - 1. Let r be v(1). Let l be ((-5)/(-15))/(r/150). Let c = l + -21. Calculate the remainder when 11 is divided by c.
3
Suppose 2*v + 4*z - 234 = 0, 5*v = -5*z - 88 + 688. Suppose -3*d = -4*n - v, -11*n + 8*n = -5*d + 216. Calculate the remainder when d is divided by 12.
9
Let f = -46 - -84. Suppose -f = -o - 2*o + 2*u, -2*o = 4*u - 4. What is the remainder when 38 is divided by o?
8
Suppose -60*c + 58*c = -152. What is the remainder when 985 is divided by c?
73
Let k be (6/(-4))/(2/(-4)). Suppose -k*w = 2*o + o - 231, 2*w - 4*o - 142 = 0. What is the remainder when w is divided by 11?
9
Suppose k + 3*i + 38 = 0, -5*k - 6*i = -i + 170. Let m = -5 - k. Calculate the remainder when m is divided by 15.
12
Suppose d = i + 17, -3*i + 0*i = -5*d + 79. Suppose -m + 4 = -d. Suppose 0*a - 2*a = -142. What is the remainder when a is divided by m?
17
Suppose 5*d = k - 36, -2*k - 180 = -7*k - 4*d. Calculate the remainder when k is divided by 28/(-6)*(-9)/2.
15
Let d = -10 - -45. Let h(y) = -y**3 - 2*y**2 + y - 1. Calculate the remainder when ((-18)/(-10))/(7/d) is divided by h(-3).
4
Let m = 5287 + -5275. Calculate the remainder when (284/6)/((-4)/(-6)) is divided by m.
11
Suppose -3*g = y - 37, -1 = -2*g + 4*y + 19. Calculate the remainder when 263 is divided by g.
11
Let y(p) = -p**2 - 21*p - 2. Calculate the remainder when 311 is divided by y(-16).
77
Suppose 7633 + 9883 = 29*y. What is the remainder when y is divided by 55?
54
Suppose 190 = 6*c - 494. Calculate the remainder when c is divided by 21.
9
Let s be (-350)/(-45) - (-2)/9. Let t = -6 + 35. Calculate the remainder when t is divided by 0 - (-1)/(1/s).
5
Let s(g) be the third derivative of -3*g**6/40 + g**5/60 + g**4/12 + g**3/6 + 7*g**2. What is the remainder when 50 is divided by s(-1)?
5
Let i be ((-10)/4)/((-2)/4). Suppose -3*m = 5*n - 71, 0*n + 2*n = i*m - 77. Suppose 90*a - 5071 + 661 = 0. What is the remainder when a is divided by m?
15
Let k = 77 - 48. Calculate the remainder when k is divided by -19*(-7 - -6) + (-3 - 0).
13
Suppose -5*d + 128 = -57. Let u(i) = -1. Let a(s) = 2*s - 8. Let g(f) = a(f) - 10*u(f). What is the remainder when d is divided by g(4)?
7
Let h = 1172 - 1152. Calculate the remainder when h is divided by 12.
8
Suppose -6*j - 45 = -207. Suppose 2*d - 32 = -2*c, 4*d + 31 = 6*d + c. Calculate the remainder when j is divided by d.
12
Calculate the remainder when 32 is divided by 5/20 + 47/4 - 1.
10
Suppose 4*z + z = -4*q + 347, -q = -5*z + 332. What is the remainder when z is divided by 10?
7
Suppose -6 = 3*o + 3*b, -o - 17 = 5*b + 1. Calculate the remainder when o + (51 - (1 + -3)) is divided by (-5 - 0)*(4 - (