 when p is divided by 65.
64
What is the remainder when 4/3 + 1162/42 is divided by ((-2)/12)/((-6)/36) + 14?
14
Suppose 4*d = -51*s + 48*s + 2155, -5*d - 3580 = -5*s. Calculate the remainder when s is divided by 20.
17
Let y(w) be the third derivative of w**6/120 + 3*w**5/20 + 11*w**4/24 + 2*w**3 + 3*w**2 + 23*w. What is the remainder when 212 is divided by y(-6)?
50
Suppose 2*h + 2 = 2*c + 5*h, -4*c = -h - 18. Let s = 273 + -245. What is the remainder when 437/c - 3/12 is divided by s?
25
Suppose -52*y = -57*y + 135. Suppose -y*d - 135 = -32*d. Calculate the remainder when 214 is divided by d.
25
Suppose 48*m - 320 = 208. Calculate the remainder when 438 is divided by m.
9
Let z(k) be the first derivative of -k**4/4 - k**3/3 - k**2/2 + 33*k + 2. Let h(x) = -x**2 - 10*x - 4. Calculate the remainder when z(0) is divided by h(-7).
16
Calculate the remainder when ((-90)/(-24) + -4)*8/3*-1338 is divided by 179.
176
Let n = -35 - -37. Let k(x) = -3*x**2 - x + 2. Let o be k(n). Let i = 14 + o. Calculate the remainder when i is divided by 2.
0
Calculate the remainder when 775 is divided by 35*(5/(-5))/(-5) + 64.
65
Suppose 5*o = 56 + 184. Suppose -2*z = -h + 6*h - 454, 3*z = -3*h + 267. Calculate the remainder when h is divided by o.
44
Let c be (441/(-35))/((-1)/5). Calculate the remainder when (-736)/(-9) - (-14)/c is divided by 15.
7
Suppose 20*d = 16*d + 16. Let s(o) = -82*o + 426. What is the remainder when s(5) is divided by d?
0
Let h = -2774 - -3231. What is the remainder when 470 is divided by h?
13
Suppose -82 + 66 = -8*t. Suppose 3*p - 11*z = -12*z + 161, t*p - 5*z - 96 = 0. Calculate the remainder when p is divided by 11.
9
Suppose -42*z + 54 = -39*z. Let u be 0 + 1 + (-4)/(-2). Let d(r) = r**2 + 3*r - 7. What is the remainder when z is divided by d(u)?
7
What is the remainder when (-2)/(30/36*9/(-4440)) is divided by 70?
64
Suppose -13*z = -12*z + 4*x - 76, 5*z - 5*x = 330. What is the remainder when 1584 is divided by z?
20
Let y(z) = -5*z - 24. Let u be -3*(-2)/(-3) - -7. Suppose 0*c + 20 = 5*c, u*c + 168 = 4*v. What is the remainder when v is divided by y(-8)?
15
Let n = 8829 + -8808. Calculate the remainder when 55 is divided by n.
13
Suppose -11*f + 405 = -6*f. Let n(g) = -2*g**3 + 33*g**2 + 20*g + 28. Let t be n(17). Let x = f - t. Calculate the remainder when 3 is divided by x.
1
Let f(u) = -28*u - 184. Let j be f(-8). Suppose q + 12*c = 9*c + j, -219 = -5*q + 4*c. What is the remainder when q is divided by 17?
9
What is the remainder when 3058 is divided by (-374921)/(-370) + (-33)/110?
19
Let c be (14 + 6 + 1)/(-1 + 4). Calculate the remainder when c - 7 - -45 - 7 is divided by 28.
10
Suppose -86*d - 1275 = 27*d - 8620. What is the remainder when 309 is divided by d?
49
Let h be -4 + (3 + 1)/(-3 - -1). Suppose 2*w + 2*p = w - 15, -5*w = 3*p + 47. Calculate the remainder when 24 is divided by (w + 1)/(4/h).
6
Calculate the remainder when 279 is divided by ((-13224)/798)/(4/(-14)).
47
Let b = 132 - 143. Let m = 90 - b. What is the remainder when 1109 is divided by m?
99
Suppose -5168 + 17520 = 8*x. What is the remainder when x is divided by 35?
4
Suppose 0 = 3*d + 5*k - 3540, -d + 1158 = 65*k - 67*k. What is the remainder when d is divided by 573?
24
Let u = -257 - -277. Calculate the remainder when 110 is divided by 4*(1 - (-175)/u).
32
Let g = 195 + -205. Calculate the remainder when 259 is divided by ((-1976)/95)/(4/g).
51
Let i = -296 - -199. What is the remainder when -1 - i - -7*(-9)/21 is divided by 12?
9
Let t = -5492 - -6241. Calculate the remainder when t is divided by 125.
124
Suppose -18 = -5*m + 102. Suppose 0 = -11*v + m - 13. Suppose -5*r + 7 = 2. Calculate the remainder when r is divided by v.
0
Let a(v) = -2*v + 15. Let y = 3260 + -3227. Calculate the remainder when y is divided by a(4).
5
Let r(z) = -z**3 - 37*z**2 - 6*z - 4. What is the remainder when 558 is divided by r(-37)?
122
Let u be 15/(-10)*-2 - 4. Let c be (-17 + 1)/u + (15 - 17). Let k(n) = -n + 51. What is the remainder when 73 is divided by k(c)?
36
Let l(m) = 126*m**2 - 35*m**2 + 2*m + 4 - 45*m**2 - 29*m**2. What is the remainder when 83 is divided by l(-1)?
7
Calculate the remainder when 279 is divided by (-12)/(-132) + (-6 - (-846)/11).
66
Let i = -5 + 12. Suppose 2*a = i*a + 60. What is the remainder when 4 is divided by (-30)/(-24) - 9/a?
0
Suppose 4*c = 15*c - 55. Suppose c*k - 5 = -4*h + 16, -2 = 2*h. What is the remainder when (6/(-12))/(2/(-52)) is divided by k?
3
Let m = 2188 - 2166. What is the remainder when 923 is divided by m?
21
Suppose -12*j - 22 = 1322. Let n = j + 134. Calculate the remainder when 370 is divided by n.
18
Let l be 3 + (1 - -30)*1. Suppose -11*c + 166 = l. Suppose -3*z + 79 + 29 = -5*i, -77 = -2*z + 5*i. What is the remainder when z is divided by c?
7
Suppose 3*b + 145 = 3*f + b, -3*b + 3 = 0. Let u(o) = 7*o**2 - 17 - 19 - 2 + o**3 - 6*o - 21 + 12. What is the remainder when f is divided by u(-6)?
24
Let c(s) = 2*s**3 + 29*s**2 - 169. Suppose -a - 3*y = -19 - 14, 81 = 4*a - 5*y. Calculate the remainder when c(-14) is divided by a.
3
Let x(t) = -4*t**3 - 602*t**2 + 295*t - 1053. Let j(o) = o + 43. Calculate the remainder when j(0) is divided by x(-151).
3
Let t be 1/(3 - 5268/1758). Let n = t - 280. What is the remainder when 37 is divided by n?
11
Let u(i) = 7*i**2 - 3*i - i**3 - 41 - 40 + 73. Calculate the remainder when ((-8)/(-6))/((-4)/(-114)) is divided by u(6).
8
Let z = -33 + 70. Let w = z + -23. Suppose -2*x - d = -80, 4*x - 4*d + 47 = 5*x. What is the remainder when x is divided by w?
11
Let l(p) = p**3 - 13*p**2 - 9*p - 5. Let i be l(14). Suppose 5*x - 25 = i. What is the remainder when x is divided by 4?
2
What is the remainder when 1 + (-1110684)/(-45) + 886/6645 is divided by 242?
241
Let m = 2 + 0. Suppose 5*i = m*k + 6 + 53, -12 = -4*k. What is the remainder when -50 - (36 + -159) - (-2 + 15) is divided by i?
8
Suppose 0 = 30*w - 25*w - 290. Suppose 2*y = 155 + 175. Calculate the remainder when y is divided by w.
49
Suppose d - 24 = -5*g, 5*g = 2*d + 2*g + 4. Suppose -152 = -d*p - 2*z, -93*p + 98*p - 216 = 4*z. What is the remainder when 191 is divided by p?
31
Let p(c) be the third derivative of -c**5/60 - c**4/24 + 20*c**2. Let m be p(-1). Suppose -12*t + 624 = -m*t. Calculate the remainder when 207 is divided by t.
51
Suppose -88*b = -117*b + 74*b - 270. What is the remainder when 85 is divided by b?
1
Suppose 4*k = n + 388, 1051*k - 1046*k + 5*n = 435. What is the remainder when 134 is divided by k?
39
What is the remainder when 276 + -6*((-80)/(-15) + -4) is divided by 24?
4
Suppose -470*l + 21372 = -431*l. Calculate the remainder when l is divided by 25.
23
Suppose -5*s = -5*t - 4 - 11, 9 = 3*s - t. Let l = 36 - s. Let i(r) = 52*r**3 + 315*r**2 - 5*r - 8. What is the remainder when i(-6) is divided by l?
31
Suppose -1289 = -a + 5*v, -86*a - 7*v = -85*a - 1337. Calculate the remainder when a is divided by 1298.
11
Let w = -33 + 97. Suppose 156 = 5*c + 3*s + 2, -2*c - 2*s = -w. Suppose -4*j + c = -31. Calculate the remainder when 73 is divided by j.
13
What is the remainder when -3 + 149 + ((-10170)/791 - 6/(-7)) is divided by (2 + -1)*-1 + 18?
15
Suppose -5*f = -5*a - 1435, -69*a + f + 1441 = -74*a. Let h = -204 - a. What is the remainder when h is divided by 29?
26
Calculate the remainder when (28/(-10))/(-44 + 276539/6285) is divided by 110.
108
Let i = -43 - -61. Suppose -33 = -q - i. Suppose -q*p + 21 = -14*p. What is the remainder when 60 is divided by p?
18
Let u(i) = i + 22. Let o be u(30). Suppose -o*v + 564 = -46*v. Calculate the remainder when v is divided by 25.
19
Let o = -6043 + 7849. Calculate the remainder when o is divided by 67.
64
What is the remainder when 15376 is divided by 176 + (-477)/33 + 8 + (-18)/33?
166
Suppose -2*s + 6*w = 2*w + 12, 0 = -2*s - w + 13. Suppose -4*t - 16 = -2*d, s*d - 4 - 52 = 2*t. Calculate the remainder when 29 is divided by d.
13
Suppose 6*r - 5 = 37. Suppose -r*n + 86 + 5 = 0. What is the remainder when 61 is divided by n?
9
Let h = 576 - 573. What is the remainder when ((-2)/h)/((-178)/8277) is divided by 9?
4
Suppose -5467 - 16411 = -5*m + 4*t, -21 = 3*t. Calculate the remainder when m is divided by 209.
190
Let v(w) = 103 + 35*w - 14*w - 31 - 