 when 189 is divided by p?
9
Suppose 16 + 14 = 10*o. Suppose 14*q - 272 = -o*q. Let j = -177 - -302. Calculate the remainder when j is divided by q.
13
Suppose 12 = -0*s + 4*s. Suppose 0 = -6*f - 13909 + 13939. Suppose -112 = -x + 4*m, f*x = -s*m - m + 656. Calculate the remainder when x is divided by 33.
29
Let u = 103 + -61. Suppose -8*k + 14 + u = 0. Suppose 5*w + k - 17 = 0. What is the remainder when 2 is divided by w?
0
Suppose 4*c + 3*i - 775 - 2280 = 0, 0 = -5*c + 4*i + 3842. What is the remainder when c is divided by 14?
10
Suppose -5*g + 141*l + 293 = 140*l, 3*g = 5*l + 145. What is the remainder when 1330 is divided by g?
10
Let d = 3228 - 1650. Calculate the remainder when d is divided by 51.
48
Let c(o) = o**2 + 66*o - 257. What is the remainder when 1941 is divided by c(-72)?
16
Let p(b) = -89*b - 1509. Calculate the remainder when p(-19) is divided by 21.
14
Let m(n) be the third derivative of n**4/8 - 19*n**3/3 + 7*n**2 - 2*n. Calculate the remainder when m(15) is divided by 7.
0
Let g be ((-147)/12 - -14) + 10/8. Suppose -15*u + 75 = -12*u + g*f, 4*u - 2*f = 76. What is the remainder when 228 is divided by u?
18
Suppose -94*d + 211950 = 95*d + 282*d. Calculate the remainder when d is divided by 117.
99
Let s = -51 + 50. Let x(z) = 7*z**2 + 2*z. Let u be x(s). Suppose 108 = k + u*g, -5*k = -3*k - 3*g - 190. Calculate the remainder when k is divided by 33.
32
Suppose -6*u = -2*u - 8, 0 = s - u - 289. Let d = s - 108. Calculate the remainder when d is divided by 37.
35
Suppose -384*m = -386*m - 5*j + 188, 0 = -5*m - 5*j + 440. What is the remainder when 419 is divided by m?
83
Let q = 451 + -376. Calculate the remainder when q is divided by (-304)/(-12) - (-10)/15.
23
Suppose -5*g = 23*w - 26*w + 81, -w - 4*g = -10. Let l = 27 - w. Suppose u - 94 = -2*i - 2*i, -3*u - 78 = -3*i. What is the remainder when i is divided by l?
4
Suppose 9*j - 56 = i + 205, -2*j + 2*i + 58 = 0. Let u = -6 + 13. Suppose 3*d - u*d = -28. Calculate the remainder when j is divided by d.
1
Suppose 60 = -i + 5*i. Suppose 13*l - 748 = -16*l - 15*l. What is the remainder when l is divided by ((-8)/12)/((-1)/i)?
7
Suppose 3*m - 2*j - 88 = 0, -2*m + 3*m + j - 21 = 0. Suppose 2*n - 132 = m. Calculate the remainder when n is divided by 37.
5
Suppose -2*n + 144 = 5*j, 26*j - 24*j - 4*n - 48 = 0. What is the remainder when 1144 is divided by j?
24
Let h = -87 + 84. Calculate the remainder when 64 is divided by 3 - 3/(18/4)*h.
4
Let o be 120/21 + (-10)/(-35). What is the remainder when (3 - (o + -2)) + 0 + 111 is divided by 38?
34
Let h(k) = 7*k + 1. Let n be h(1). Suppose 2*i = 2*p + 28, 54 = -3*i + n*i - p. Suppose 14*f - 329 = 7*f. Calculate the remainder when f is divided by i.
7
Let b = 49 + -31. Let u be 17 + (7 - (-3 - -6)). Calculate the remainder when u/21*52/1 is divided by b.
16
Let j = -60 + 74. Let i = j + 34. Suppose 0 = 13*x - 7*x - i. Calculate the remainder when x is divided by 5.
3
Suppose -2*j = -5*j + 36. Let w = -8654 + 8711. What is the remainder when w is divided by j?
9
Suppose -5*g - i + 11 - 98 = 0, 4*g + 2*i + 72 = 0. Let a = g + 28. Calculate the remainder when 29 is divided by a.
7
Suppose 4*y - 142 = -2*u, 23 = y + 4*u - 2. Suppose h - 18 = -2*r + y, -24 = -r - 4*h. Suppose 25*j + r = 29*j. What is the remainder when 12 is divided by j?
5
What is the remainder when 231 is divided by ((-5814)/(-204))/((-3)/(-22))?
22
Let j(h) = 121*h + 1023. Suppose 2*q = 7*q + 3*v - 73, 0 = -5*q - v + 71. Calculate the remainder when j(-8) is divided by (-8)/q - 583/(-77).
6
Let d(x) = -x**3 - 25*x**2 - 49*x - 55. Suppose -92 - 60 = -8*o. Calculate the remainder when o is divided by d(-23).
5
Let x(o) = -11*o + 85. Let v be x(9). Calculate the remainder when (v + 7)*(0 + -1 - 10) is divided by 16.
13
Suppose -5*a = -2*h - 2155, 2*a + 30*h - 34*h = 846. Calculate the remainder when a is divided by 39.
4
Suppose 55070 - 14645 = 75*z. Calculate the remainder when z is divided by 156.
71
Suppose -33*h + 38*h = 55. Let g(u) = u**3 - 12*u**2 + 10*u + 30. Calculate the remainder when g(h) is divided by 1/(-4) - (-490)/40.
7
Calculate the remainder when 277 is divided by 1*((-15)/3 + (45 - (8 - 3))).
32
Suppose 34456 = 484*p - 24666 - 52682. Calculate the remainder when p is divided by 62.
45
Suppose 97*x - 24 = 85*x. Suppose -26*j + 5*q + 122 = -23*j, 93 = x*j - q. What is the remainder when 782 is divided by j?
47
Let a be (-212)/(-12) - (-3)/9. Let w be 4*a/15*200/(-16). Calculate the remainder when 25 is divided by (-5)/2*w/(-75) - -11.
7
Let a(o) = -o**3 - 24*o**2 - 24*o. Let n be 2/3*642/4. Suppose -5*s + 4*g - n = 0, -5*g - 100 = 4*s - g. What is the remainder when a(s) is divided by 17?
6
What is the remainder when 150 is divided by 57/(-399) - (-1053)/21?
0
Let s(f) = f**2 + 5*f - 3. Let i be s(-5). What is the remainder when 25 is divided by (2/i)/((-4)/78)?
12
Suppose -69 = -5*v + 3*i + 42, -i = -4*v + 86. What is the remainder when 2666 is divided by v?
20
Suppose h = -c + 73, -3*c + 249 = 234*h - 237*h. What is the remainder when 477 is divided by c?
9
Let i(f) = -f**3 + 54*f**2 - 43*f - 244. Calculate the remainder when 872 is divided by i(53).
14
Calculate the remainder when 992 is divided by 5 + 1 + 928 - (-17 + 6).
47
Suppose k - 3*c = 5*k + 112, c = 3*k + 71. What is the remainder when 23 is divided by (k/35 + -1)*42/(-12)?
5
Suppose 59 = 18*q - 175. Suppose 174 = 17*h - q. What is the remainder when 51 is divided by h?
7
Let n = -4561 + 5503. What is the remainder when n is divided by 4?
2
Suppose -68*f + 78*f = 74*f - 44224. Calculate the remainder when 2077 is divided by f.
4
Let y = -5856 - -6557. Calculate the remainder when 2123 is divided by y.
20
Let c = 229 - 223. Calculate the remainder when 15 is divided by (-14 + 17)/(c*(-3)/(-60)).
5
Suppose 11*b + 1053 = -1829. Let g = b + 268. Calculate the remainder when 105 is divided by g.
3
Let v be ((-40)/30)/((-5)/((-630)/4)). Let d(r) = -8*r + 33. What is the remainder when d(v) is divided by 62?
59
Let l = -37302 + 40212. What is the remainder when l is divided by 83?
5
What is the remainder when 454 is divided by 6705/(-216)*-8*(-3)/(-5)?
7
Let x = 42 - 78. Let g(c) = -20*c + 497. Let q be g(26). Let v = q - x. What is the remainder when 36 is divided by v?
10
Let q(u) = u**3 - 5*u**2 + 5*u - 1. Suppose -18*s + 176 = -13*s + 26. What is the remainder when s is divided by q(4)?
0
Let p(d) = -d**3 + 8*d**2 - 4*d + 1. Calculate the remainder when p(3) is divided by 8 - 2478/315 - (-624)/45.
6
Let c(h) = h**3 - 15*h**2 - 21*h + 656. Calculate the remainder when c(16) is divided by 160.
96
Suppose -38*x + 30*x + 1520 = 0. Let r = 6 + -1. Suppose 5*i = 3*u - 134, u = r*u - i - 190. What is the remainder when x is divided by u?
46
Let w(t) = 5*t**2 + 3*t - 1. Let r(f) = -f - 1. Let k be r(-4). Let g = -105570 - -105589. What is the remainder when w(k) is divided by g?
15
Let g = -939 - -956. Suppose -4*c + 3*u = -41 + 12, -40 = -5*c + 5*u. Suppose 0 = -c*z + 191 + 224. Calculate the remainder when z is divided by g.
15
Let a = -2229 - -2346. Calculate the remainder when 930 is divided by a.
111
Let z(h) = 24*h + 10. Suppose 24*m - 91 = 125. What is the remainder when z(m) is divided by 57?
55
Let p = 9089 - 8856. Calculate the remainder when 941 is divided by p.
9
Let z = 3577 + -1456. What is the remainder when z is divided by 59?
56
Suppose -24660 = 93*i - 138*i. What is the remainder when i is divided by 196?
156
Let x = 272 + -271. Calculate the remainder when 215 is divided by 56/x + 100/(-50).
53
Suppose -7*v - 100 = -317. Let f = 413 + -180. Let d = f + -81. What is the remainder when d is divided by v?
28
Let l(y) be the first derivative of -y**4/4 - 2*y**3 + 15*y**2/2 + 33*y - 27. What is the remainder when l(-9) is divided by 11?
9
Suppose -3*l - 6 = 18, l = 3*s - 830. Suppose -118 - 332 = -5*o. What is the remainder when s is divided by o?
4
Let h = -1999 - -2193. What is the remainder when h is divided by 67?
60
Suppose 22*i - 5091 = 4325. What is the remainder when i is divided by 105?
8
Let u = -64 + 66. Let t(f) = -9*f + 11*f**u - f**3 - 3*f - 7*f + 6*f - 4. What is the remainder when t(7) is divided by 26?
23
Calculate the remainder when ((-18)/8 + 3)*808 is divided by 5*(