 3. Suppose 0 = -5*s - 3*p + 213, -f*s + 82 = -p + 3*p. Calculate the remainder when s is divided by 12.
9
Let f(p) = -2*p**2 - 16*p - 11. Suppose -4*s = i, 5*i = 4*s + 38 - 14. Let n = 22 - s. Calculate the remainder when n is divided by f(-6).
10
Suppose -y - 16 = -5*y. Let s be y/(-10) - 132/20. Let n(a) = -a**3 - 4*a**2 + 11*a + 4. Calculate the remainder when n(s) is divided by 25.
24
Let v(o) = o**3 - 6*o**2 - 8*o + 9. Suppose 0 = y - 0 - 7. Let l be v(y). Suppose 3*h + l - 11 = 0. What is the remainder when 6 is divided by h?
0
Let m = 119 - 59. Calculate the remainder when m is divided by 7.
4
Let d = -30 + 64. Suppose 2*x = -4*r + d, -2*x - 3*r = -5*r - 4. Suppose q - 56 - x = 0. What is the remainder when q is divided by 33?
30
Let a = -111 - -141. Suppose -a - 51 = -3*z. What is the remainder when z is divided by 16?
11
Let q(r) = -r**3 + 44. Let p be q(0). Let l = p + -25. Suppose -4*w + 11 = -5, -4*w + 46 = 3*n. What is the remainder when l is divided by n?
9
Let z(b) = 91*b**3 - b**2 + 2*b - 1. What is the remainder when z(1) is divided by 2/(-6) - 3220/(-138)?
22
Suppose -3*w - 12 = 0, 4*g - 123 + 39 = w. Suppose 20 = 4*p, -5*p - 6 = -x - 34. What is the remainder when g is divided by 1/(-3*x/99)?
9
Let w be ((-2)/4)/(2/(-80)). Suppose 4*y = 5*j - 4*j - 7, -5*y - w = -2*j. Suppose 5*c - j = -0*c. What is the remainder when 13 is divided by c?
1
Calculate the remainder when 111 is divided by (128/10)/(58/145).
15
Suppose -5*b + 5 = -5. Suppose b*h = 2*s + s - 51, -s + 16 = -h. What is the remainder when s is divided by 5?
4
Suppose y + 3*g - 30 = 0, 0 = y - 2*y - 5*g + 24. What is the remainder when 268 is divided by y?
34
Suppose -8*x - 247 = -791. Suppose 5*p - 2*p - 15 = 0. Suppose -5*k + 85 = 5*m, -p*m = -16 + 1. Calculate the remainder when x is divided by k.
12
Suppose -2*m = m - 15. Let z(h) = -8*h + 1. What is the remainder when z(-7) is divided by 1/(-2*1*m/(-200))?
17
Suppose 4*l + 614 = 4*b + 2*l, 0 = b - 4*l - 171. Calculate the remainder when b is divided by 11.
8
Let n(r) = 0 - 8*r + 0. Let a = -125 - -120. Calculate the remainder when n(a) is divided by 14.
12
Calculate the remainder when (6/(-12))/(-3 + (-4710)/(-1572)) is divided by 12.
11
Suppose -1649*b + 1643*b = -708. Calculate the remainder when 367 is divided by b.
13
Let z be 0 + -2*1 - -4. What is the remainder when ((-3)/6)/((-5)/35)*2 is divided by z - 3 - (-3)/1?
1
Let g = -39 - -39. Suppose p - 22 = 3*j, 5*p = -g*j + j + 110. What is the remainder when 41 is divided by p?
19
Suppose 701 = 26*u - 53. Let n = 18 + -3. Calculate the remainder when u is divided by n.
14
Suppose -10 = -21*w + 26*w. Let z = 4 + w. Let g = 14 + -12. What is the remainder when z is divided by g?
0
Suppose -9*b = -5496 + 5388. What is the remainder when b is divided by 0 + (4 - 2) + 3?
2
Suppose 5*g - 560 = 600. Suppose 4*d - 8*d + g = 0. What is the remainder when d is divided by 12?
10
Suppose 23 = k - 85. Suppose -d - d = -k. Suppose -4*p + 112 = 4*p. What is the remainder when d is divided by p?
12
Suppose 6*o - 130 = -7*o. What is the remainder when 23 is divided by o?
3
Let f be (0 + -10)*10/(-25). What is the remainder when f/6 + 410/6 is divided by 10?
9
Let p(x) = 8 + x + 2*x - 2*x. Let q be p(0). Suppose y = 15 + q. What is the remainder when y is divided by 6?
5
Let o(y) = y**2 - y - 5. Calculate the remainder when o(-4) is divided by 4/8 - (36/(-8) + -3).
7
Let p be 63/28 + (-3)/12. Suppose p*l + 2*l - 180 = 0. What is the remainder when l is divided by 24?
21
Suppose 2*m = 0, -14*m + 1180 = 4*j - 16*m. Calculate the remainder when j is divided by 13.
9
Let w be 8/14 - 432/168. What is the remainder when (19 - 5)*(-5)/w is divided by 19?
16
Suppose 5*s = -p + 783, 5*p + 118 = s - 23. What is the remainder when 604 is divided by s?
136
Let k be (-10)/40 - (-21)/4. Let n be (-21)/35 - (-333)/k. Suppose 0*w + n = 6*w. Calculate the remainder when 42 is divided by w.
9
Suppose 2*i - 4*i = -44. Suppose 3*k - c = -2*k + 20, 5*c - 45 = -4*k. What is the remainder when i is divided by k?
2
Suppose 9 = y - 2*n + 1, 26 = -3*y - 4*n. Let o = y + 4. Suppose -m = -4*p + 74, -5*p + o*p - 3*m = -48. What is the remainder when 51 is divided by p?
15
Let f(v) = 6*v**2 - 5*v**2 + 2*v**2 + 1 + 9*v + 11*v. Let j = 48 + -31. What is the remainder when f(-9) is divided by j?
13
Let b(v) be the third derivative of 13/24*v**4 - 1/6*v**3 + 0*v + 4*v**2 + 0. What is the remainder when 20 is divided by b(1)?
8
Let a be (-22)/(-8) - (-7)/28. Suppose -a*z + 61 = -23. What is the remainder when 54 is divided by z?
26
Let b = 653 - 648. What is the remainder when 34 is divided by b?
4
Let z = -168 + 243. What is the remainder when z is divided by 10?
5
Let i = -118 - -221. What is the remainder when i is divided by 44?
15
Suppose c - 4 = -2*c - 4*w, -5*c + 30 = -5*w. Let q = 29 - 18. Calculate the remainder when q is divided by (-2)/c + (-39)/(-6).
5
Calculate the remainder when (5 - (-102)/(-9))*(2 + -26) is divided by 22.
20
Suppose 0 = -2*m - g + 133, m + 3*g = 2*m - 77. What is the remainder when 402 is divided by m?
62
Suppose 3*i - 4*i = -35. Let a = i + -25. Let j(c) = -9*c + 1. Calculate the remainder when j(-2) is divided by a.
9
Let s = -1399 - -1451. What is the remainder when 153 is divided by s?
49
What is the remainder when 308 is divided by (-2 - -65) + 16/(-4) + 12?
24
Let p(r) = -5*r**3 - 75. Let j(q) = 14*q**3 + 225. Let s(g) = 4*j(g) + 11*p(g). Let t = 36 + -17. What is the remainder when s(0) is divided by t?
18
Suppose 18 = -3*v - 4*n, 4*n - 27 = 3*v + 5*n. Let x = v + 3. Let w(l) = 3*l**2 + 8*l - 2. Calculate the remainder when w(x) is divided by 30.
29
Calculate the remainder when 105 is divided by 8316/315 + 0 + (-3)/(-5).
24
Let n(w) = w**3 - 11*w**2 + w + 11. Let c be (3/(-5))/((-5)/25). Suppose -c*l = l - 44. What is the remainder when n(l) is divided by 12?
10
Let t(p) = p**3 + 20*p**2 - 22*p + 59. Calculate the remainder when t(-21) is divided by 29.
22
Let r(w) = -w**3 - 26*w**2 - 31*w + 13. What is the remainder when r(-25) is divided by 10?
3
Calculate the remainder when 157 is divided by ((-80)/(-14) - 6) + (-111)/(-21).
2
Suppose -3*z + 4 + 11 = 0, 4*k + z = 41. Let n = -310 - -353. What is the remainder when n is divided by k?
7
Let y = 10341 - 10322. Calculate the remainder when y is divided by (-4)/6*(1 + -16).
9
Let g = 11 + -3. Suppose a + r = -0*a, -a + 8 = -3*r. Suppose s - 18 = -0*w + w, -5*w - 45 = -a*s. Calculate the remainder when s is divided by g.
7
Let d = -133 + 135. Calculate the remainder when (28/84)/(d/(-552)*-2) is divided by 18.
10
Suppose 5*s - 121 = -3*t + t, 110 = 4*s - 5*t. Let y be -2 + s + 0/2. Suppose 0 = 3*i + y - 110. What is the remainder when i is divided by 10?
9
Let m(p) = -p**3 + 4*p**2 + 13*p - 10. Let n be m(6). What is the remainder when ((-50)/6)/(n/12*1) is divided by 16?
9
Suppose 4*z + 5 = 109. Calculate the remainder when 40 is divided by z.
14
Let j = -2 + -2. Let z = j - -7. Suppose -5*u = -z*u - 20. Calculate the remainder when 37 is divided by u.
7
Calculate the remainder when (33/(-6))/11*-262 - -2 is divided by 15.
13
Suppose -63 + 277 = 2*a + 3*i, 0 = -2*a + 2*i + 194. Calculate the remainder when a is divided by 15.
11
Let q = 4 + -2. Suppose -6*c + 41 = 11. Suppose -28 = -2*d - 4*o, -3*o + c*o = -2*d + 20. What is the remainder when d is divided by q?
0
Let g(m) = 7*m**3 - 7*m**2 - 16*m + 31. What is the remainder when g(4) is divided by 51?
48
Let c = -157 + 285. Suppose 7*b + 43 - 708 = 0. Calculate the remainder when b is divided by (-15)/(-10)*c/6.
31
What is the remainder when (-2127)/(-15) - (-33)/165 is divided by 72?
70
Let k be (-7)/(-14) - (-15)/6. Calculate the remainder when ((-72)/30)/(k/((-675)/6)) is divided by 23.
21
Suppose -q - q = -8, 0 = -w + 5*q + 12. What is the remainder when 185 is divided by w?
25
Suppose 57*r - 168 = 15*r. What is the remainder when 22 is divided by r?
2
Let u(d) = d**3 + 5*d**2 - 13. Let n be u(-4). Suppose -n*x = -13*x + 1620. Calculate the remainder when x is divided by 33.
30
Let s be -1*(1 + 16 + 3). Let w = s - -24. Calculate the remainder when 10 is divided by w.
2
Suppose 2*x + 6*x - 240 = 0. Calculate the remainder when x is divided by 11.
8
Let c be 1*(-