ed by w?
1
Let g = -145 - -116. Let a = 152 - g. What is the remainder when a is divided by 61?
59
Let y be ((-6)/5)/((-24)/160). Suppose 3*m - y*m - 15 = 0. Calculate the remainder when 8 is divided by (-1)/m + (-70)/(-15).
3
Suppose 18*l - 465 = 15*l. Calculate the remainder when l is divided by -6 + 126/35*40/6.
11
Let i(n) = n**2 - 4*n + 2. Let k be i(4). Suppose 5*r + 5 = -15. Calculate the remainder when 67 is divided by (r/4 - -2)/k*46.
21
Suppose 3*n - 20 = -n. Let h be (-33)/99*-30*(1 - 0). Suppose n*y + 90 = h*y. Calculate the remainder when 33 is divided by y.
15
Suppose 0 = 9*s - 170*s + 2737. Suppose -9 = -5*t + p, t - 5*p = -t - 1. Suppose -2 + 100 = t*q. What is the remainder when q is divided by s?
15
Let o(m) = -19*m**3 + 59*m**2 + 10*m - 28. What is the remainder when 411 is divided by o(3)?
11
Let x(f) = 4*f - 7. Let a(r) = 6*r**2 + 66*r + 285. What is the remainder when a(-7) is divided by x(6)?
15
Let p(f) be the second derivative of f**5/20 - 5*f**4/12 + 5*f**3/3 - f**2/2 + 96*f. Calculate the remainder when 237 is divided by p(3).
6
Suppose -12*x + 2470 = 5*b - 13*x, -2*b - x = -988. What is the remainder when b is divided by 164?
2
Suppose -5*w + 4615 = 5*b, 38*b - 43*b = -5*w + 4695. What is the remainder when 940 is divided by w?
9
Let c(o) = 608*o - 12716. Calculate the remainder when c(23) is divided by 299.
72
Let h = 2 + -4. Calculate the remainder when (((-15 - -47) + -40)/6)/(2/(-81)) is divided by (-29)/h + (-2)/4.
12
Let m(i) = i**2 + 7. Let b(g) = 2*g - 17. Let s be b(11). Suppose s*r + 3 = 18. Calculate the remainder when 46 is divided by m(r).
14
What is the remainder when 1510 is divided by (1 + 9 + -54)*-38*(-3)/(-12)?
256
Suppose 0 = -0*c + 3*c. Suppose 3*k + 4*k = c. Suppose -2*h - 3*h + 10 = k. What is the remainder when 7 is divided by h?
1
Let n = -21902 + 21956. Calculate the remainder when 1251 is divided by n.
9
Let k = 3 - -22. Suppose -b + 495 = 20*b + 327. Calculate the remainder when k is divided by b.
1
Let f = -35021 + 35048. Calculate the remainder when f is divided by ((-4)/4)/(2/(-26)).
1
Suppose 8678 = 5*r - 2*h, -r = 11*h - 13*h - 1726. Calculate the remainder when r is divided by 57.
28
Suppose -13 = -2*v - 5*y, -5*v + 5*y = 1 - 16. Suppose 3*q - 557 = -v*f, -6*f - 5*q + 404 = -3*f. Calculate the remainder when f is divided by 49.
45
Suppose 434 = 70*y - 2016. What is the remainder when 592 is divided by y?
32
Let m(b) = 7*b**2 - 78*b + 235. What is the remainder when m(20) is divided by 12?
11
Suppose -283*j + 415 = -278*j. Calculate the remainder when 243 is divided by j.
77
Calculate the remainder when 389 is divided by ((-1254)/(-110))/19 - (1154/(-10) + -1).
38
Suppose 2*x - 12 = -x. Let w(a) = 312*a + a**3 - 4 - 305*a - 4*a**2 - a**2. Calculate the remainder when 22 is divided by w(x).
6
Let b(k) = -k**3 + 35*k**2 - 194*k - 35. What is the remainder when 141 is divided by b(28)?
15
Let a(p) = 4*p**2 - 814*p - 814. Suppose -c - 3*r = 1, 0*c = 3*c + 5*r - 9. Suppose 0*l - c = -2*l. What is the remainder when l is divided by a(-1)?
0
Let i = 597 + -592. Suppose 90 = i*c - 230. Calculate the remainder when 235 is divided by c.
43
Let m(v) = -2*v**3 - v**2 + 2*v + 2. Let o be m(0). Let d(k) = 14*k**o + 0*k - 7 - 15 + 5*k - k**2 - k**3. What is the remainder when d(13) is divided by 11?
10
Suppose -10*q = -14*q - 8. Let i(b) = b**2 + 2*b. Let x be i(q). Suppose x = -4*j - j - 5, -5*j = -h + 25. What is the remainder when 58 is divided by h?
18
Suppose -2*k - 5*m = -60, 5*m + 6 - 16 = 0. Let q(b) = -b**3 - 8*b**2 - 10*b. Calculate the remainder when k is divided by q(-7).
4
Let p be (-45)/(-36) + 2 + (-6)/(-8). Suppose 0 = -5*a - p*r + 103, -25*a = -22*a + 2*r - 61. Calculate the remainder when a is divided by 6.
1
Suppose -6*r - 34 = -7*r + 2*y, 35 = r - 3*y. Suppose 5*x + l + 0*l - 56 = 0, -3*x + l = -r. Calculate the remainder when 37 is divided by x.
4
Suppose -2*l + 2*g + 558 = 0, 5*g + 805 - 259 = 2*l. What is the remainder when l is divided by 18?
13
Suppose -4*b = -3*b - 2. Let s(o) = 16*o + 2. Let u = 9789 + -9777. What is the remainder when s(b) is divided by u?
10
Suppose 32*t + 430 = 538 + 1844. Let r(p) = -p**3 + 6*p**2 + 5*p - 9. What is the remainder when t is divided by r(6)?
19
Suppose -36*w - 4*q = -41*w + 113, -q = -3. Calculate the remainder when -3*(-23 - (3 + -5)) is divided by w.
13
Let f(m) = -m**2 + 10*m. Let h(t) = -t**2 + 287*t - 769. What is the remainder when h(284) is divided by f(7)?
20
Suppose -5*c + 54*c - 11*c - 5434 = 0. Calculate the remainder when 294 is divided by c.
8
Let c(i) = 35*i + 4. Let a = -857 - -859. What is the remainder when c(a) is divided by 27?
20
Let y(s) = s**3 + 7*s**2 + 14*s + 8. Let q be y(-8). Let k = q + 244. What is the remainder when k is divided by 45?
31
Let b be 126/35 - 2/(-5). Suppose 2*s + 67 = j, 4*j + 2*s - b*s = 298. What is the remainder when j is divided by 16?
13
Let n = 4711 - 4571. Calculate the remainder when 487 is divided by n.
67
Let z = -331 - -535. Suppose -94*n = -88*n - z. Calculate the remainder when 96 is divided by n.
28
Let q(x) = -10*x**2 - 254*x - 57. Calculate the remainder when q(-22) is divided by 4.
3
Let c be (0 + (-4)/8)*-50. Suppose 0 = -5*s - 25, -4*m + 5*s - c = -9*m. Calculate the remainder when 791/21 + -7 + (4 - 14/3) is divided by m.
0
Suppose -u - 5*s - 18 = -0*u, 3*s = -2*u - 15. Let h = 4057 - 4103. Let i = u - h. Calculate the remainder when i is divided by 22.
21
Let h(f) = 2*f**3 - f - 13. Let j = -218 - -221. Calculate the remainder when 113 is divided by h(j).
37
What is the remainder when 1009 + -5 + (-2 - 0 - 8) is divided by 55?
4
Let k(y) = 764*y + 792. What is the remainder when 144 is divided by k(-1)?
4
Let w(k) = -k + 2. Let r(c) = -6*c + 12. Let g(a) = 3*r(a) - 15*w(a). Let j = 2 - -1. Calculate the remainder when g(-1) is divided by j.
0
Let j(f) = f**2 - 29*f - 1097. What is the remainder when j(55) is divided by 147?
39
Suppose 0*s - 23 = 2*p + 5*s, 0 = 5*p + 3*s + 29. Let x = -6 - -10. Calculate the remainder when ((-16)/x + -3)*p is divided by 15.
13
Suppose -2*j + 40 - 52 = 0. What is the remainder when 17 is divided by (304/(-24) + 6)/(4/j)?
7
Let r(s) = -8*s - 5. Let o(b) = b**2 - 16*b + 28. Let n be o(14). Let c be (-6)/(-4)*(-2 - n). What is the remainder when 54 is divided by r(c)?
16
Let c be 2/(-12) - (-82128)/288. Let n = 309 - c. What is the remainder when 44 is divided by n?
20
Let g(v) = 90*v - 17. Let n(w) = -w + 9 + 2*w - w + 2*w. Calculate the remainder when g(1) is divided by n(3).
13
Let x = -67 + 100. Suppose -w + 36 = 4*k, 3*w - 54 = -4*k + 22. What is the remainder when x is divided by w?
13
What is the remainder when 154 is divided by (20/(-50))/(-15 + 11 + 59/15)?
4
Suppose -67*z - 179 = 52*z - 536. Suppose -5*d = -t - 3*t - 4, 3*t = d - 3. What is the remainder when (d - -1)/(1/9) is divided by z?
0
Calculate the remainder when 237 is divided by -610*11/660*-6.
54
Suppose -286*l + 6*j = -285*l - 348, 5*l - 1880 = 2*j. What is the remainder when l is divided by 364?
14
Calculate the remainder when -131*2*(-147)/6 + (20 - 18) is divided by 169.
168
Suppose 1464*j - 1152 = 1461*j. Let y = j - 366. Calculate the remainder when 23 is divided by y.
5
Let n = -13 - -14. Let s be (8/(-12))/(((-2)/6)/n). Suppose -162 = -s*h - 7*h. What is the remainder when 69 is divided by h?
15
Let d(v) = -v**3 - 11*v**2 - 11*v - 46. Let n be d(-8). What is the remainder when 78 is divided by 1/2*n/(-15)?
3
Let a = 24 + -22. Let v be 99/(a - -1) - 3. Suppose -v = -4*f - z + 3*z, -4*f = 3*z - 35. Calculate the remainder when 30 is divided by f.
6
Suppose -11 = 2*c + 13. Let i be -4 - (-7)/((-21)/c). Suppose i = -3*m + 5*w + 91, 3*w = 3*m - 0*w - 99. Calculate the remainder when m is divided by 11.
4
Suppose 26*c + 14*c - 34155 = -5*c. Calculate the remainder when c is divided by 31.
15
Suppose 42 = 8*l - 70. Calculate the remainder when (-2 - -5) + (22 - 2) is divided by (8/l)/1 - 1357/(-161).
5
Suppose -14*v + 10*v = 0. Calculate the remainder when 199 - -2 - (-1 - v) is divided by 27.
13
Let g(t) = -225*t + 343. What is the remainder when 212 is divided by g(1)?
94
Suppose 0 = 5*v - 20, -3*v + 5*v - 11 = -b. Suppose -3*z - 142 = -5*q, 4*q + b*z - 139 = -20. C