at is the remainder when p is divided by 110?
107
Let f(k) = 3*k**2 - 40*k - 28. Let n be f(14). Suppose n*d - 4*d + 867 = -3*s, -5*d + 1077 = 3*s. What is the remainder when d is divided by 48?
24
Let i = 4905 - 4886. What is the remainder when (-114)/3*(-1 + 0) is divided by i?
0
Suppose 206 + 22 = 4*w. Suppose -o = -4*r + 4, 4*o + 90*r = 95*r + 28. Calculate the remainder when w is divided by o.
9
Suppose 2*o + 4*c = 60, -5*o - 2*c + 71 + 55 = 0. What is the remainder when 179 is divided by 15*(5 - 116/o)*4?
9
Let p(x) = -3*x**3 + 92*x**2 + 30*x + 145. What is the remainder when p(31) is divided by 7?
2
Let z(g) be the first derivative of 1/2*g**2 + 18 + 7/2*g**4 + 0*g - 1/3*g**3. What is the remainder when 37 is divided by z(1)?
9
Let f be (-78)/19 + (-4)/(-38) + 9. Let d = f + 15. What is the remainder when d is divided by 8?
4
Suppose -76 = -w - 4*l, -5*w - 114*l + 397 = -111*l. Calculate the remainder when 1669 is divided by w.
69
Let m(k) = -15*k - 25. Let j be m(-2). Suppose 45*b + j*r - 26 = 42*b, -5*b + 3*r + 66 = 0. What is the remainder when 669 is divided by b?
9
Calculate the remainder when ((-91)/(-78))/(7/(-21))*7256/(-14) is divided by 140.
134
Let c = -27 + 55. Suppose 148 = 10*f + c. What is the remainder when 22 is divided by f?
10
Calculate the remainder when (-18)/2*158032/(-1224) is divided by 41.
14
Let o(i) = -28*i - 5. Let a be o(8). Let g = -414 + 263. Let k = g - a. Calculate the remainder when k is divided by 17.
10
Suppose -26*f + 7*f - 192 = -23*f. Calculate the remainder when 75 is divided by f.
27
Let t = 4237 + -4156. Calculate the remainder when t is divided by 17.
13
Calculate the remainder when 217 is divided by 768/(-40)*(-30)/12 + -9.
22
Let p = -15621 + 15813. Calculate the remainder when 941 is divided by p.
173
Suppose -5*d + 72 = -0*d + y, 4*d - 64 = -4*y. Let x be 4*-1 - (6 - (4 + 3)). Let j(n) = n**2 - 6*n - 1. Calculate the remainder when j(x) is divided by d.
12
Let v = -18 + 29. Let w be (1/(-3))/(15/(-135)). Suppose -3*f + p + w*p + 16 = 0, -2*p + 14 = 4*f. What is the remainder when v is divided by f?
3
What is the remainder when (-36)/(4752/(-44770)) + (-1)/6 is divided by 65?
14
Let c(r) = -15*r - 103. Let l be c(-7). Calculate the remainder when (-8)/(-5)*135/6 is divided by ((-168)/(-3))/7 + l.
6
Calculate the remainder when 180 is divided by (0 + 285/(-76))/(-2 - (-47)/24).
0
Suppose 8*n - 13*n = -3*f + 377, -n - 125 = -f. What is the remainder when f is divided by 54?
16
Suppose 5*k - 15 = -g, -3 - 20 = -2*k + 3*g. What is the remainder when 2 is divided by k*(24/16)/3?
0
Suppose 16*k - 2892 = 1108. What is the remainder when k*(1 + -6)/(-10) is divided by 44?
37
Let c = -328 + 351. What is the remainder when 825 is divided by c?
20
Let k be ((-1068)/10)/(3/((-15)/2)). Let n = k - 258. What is the remainder when 134 is divided by n?
8
Let v(y) = -y**3 + 7*y**2 - 13*y + 127. Let r be v(8). Let b = -35 - r. Calculate the remainder when (-30)/(-4)*8/6 is divided by b.
4
Let n = 4751 + -4550. What is the remainder when n is divided by 31?
15
Suppose 3*z - 5*w + w + 5 = 0, -w = 4*z + 13. Let h be ((-4)/z)/(((-30)/6)/(-180)). Suppose -3*j = -6*j + h. Calculate the remainder when 95 is divided by j.
15
Let d = 322 - 319. Suppose 7*u = d*c + 2*u - 153, 4*c + 2*u = 178. Calculate the remainder when c is divided by 16.
14
Let w = -713 + 824. Let n = -446 - -487. Calculate the remainder when w is divided by n.
29
Suppose -d = -3*l + l + 15, 0 = 5*d + 25. Calculate the remainder when (-66)/l*620/(-186) is divided by 24.
20
Let b be -22*4/(-16)*-74. Let j = b + 595. Let o(f) = 12*f**2. Calculate the remainder when j is divided by o(-2).
44
Let v = 272 - 128. Suppose 21*i = -7*i - 126896. Calculate the remainder when v is divided by i/(-154) + 6/(-14).
28
Let l = 7034 - 6460. What is the remainder when l is divided by 64?
62
Suppose 37*t - 35981 = -8749. What is the remainder when t is divided by 82?
80
Let g be -7 + 2 + 30/6. Suppose -4*n + z + 239 = g, -3*n - 22*z = -17*z - 208. Calculate the remainder when n is divided by 8.
5
Let b be -75*(-1 - 455/25). Suppose -4*r = 36*r - b. What is the remainder when r is divided by 18?
0
Suppose 1456 + 184 + 1585 = 75*s. Suppose 4*z = -2 + 18. What is the remainder when s is divided by z?
3
Let s = 33 - 16. Suppose -s*j + 954 = -100. What is the remainder when 242 is divided by j?
56
Suppose 4*r = 2*i + r + 24, 3*r - 6 = 0. Let h be 12/27 + (-41)/i. Suppose -2*o + 28 = -k - 3*k, 0 = -o - k + h. What is the remainder when 10 is divided by o?
2
Suppose 318 = 4*k + 1042. Let x = k + 221. Suppose 57 = 2*h + 15. Calculate the remainder when x is divided by h.
19
Suppose 16*b + 5605 + 14987 = 0. Let q = b + 1302. Suppose -344 = 3*r - 7*r. Calculate the remainder when r is divided by q.
11
Let o be ((-2)/(-10) - 1)*-15. Let p = o - -17. What is the remainder when p is divided by (-28)/((-2)/4 - 3)?
5
Let b(s) = 11*s**2 + 24*s + 286. Calculate the remainder when b(10) is divided by 33.
9
Let u(k) = -3467*k - 17309. Suppose 5*s - 148 = -q + 97, -4*s - q + 195 = 0. Let g = s - 36. Calculate the remainder when u(-5) is divided by g.
12
Let g = -288 - -285. Let n(p) = -p**3 - p**2 + 2*p + 27. Calculate the remainder when 154 is divided by n(g).
37
Suppose -113*i + 111*i + 2*q + 66 = 0, -q = -4*i + 132. Calculate the remainder when 24188 is divided by i.
32
Suppose -3*u + 6*u = -5*f + 16206, 6474 = 2*f - 3*u. Suppose 0 = -6*s + 21*s - f. Calculate the remainder when s is divided by 50.
16
Let x be 3*(-4)/24 + (-598)/4. What is the remainder when 241 is divided by (6 - x)*(-2)/(-4)?
7
Let s(u) = -17*u**3 - 31*u**2 + 37*u + 123. Let k(p) = -6 + 2 - 3*p - 2*p. Calculate the remainder when s(-2) is divided by k(-4).
13
Suppose -2*n - 202 = -17*y + 14*y, -n = 2*y - 137. What is the remainder when y is divided by ((-2)/(-3))/(1/21)?
12
Let v = 312 - 186. Let g = v + -117. Suppose 0 = -3*a + 15, -2*o + 3*a + 21 + 8 = 0. Calculate the remainder when o is divided by g.
4
What is the remainder when 165 is divided by (-10 - (-396)/24)/(4/56)?
74
Let f = 458 - 415. Suppose -u - 12 + 101 = 2*c, -166 = -2*u - c. What is the remainder when u is divided by f?
38
Suppose -3*h - 5*z + 312 = 0, 31 - 343 = -3*h - 2*z. Calculate the remainder when h is divided by 4.
0
Suppose 5*g - 1447 = 3*w, 5*w + 362 + 213 = 2*g. Calculate the remainder when g is divided by 60.
50
Suppose 0 = -5*u - 5*y + 2000, -u - 13*y + 14*y = -412. Calculate the remainder when u is divided by 149.
108
Let p = -5311 + 5322. Calculate the remainder when 99 is divided by p.
0
Let g(m) = 151*m**2 + 595*m. Suppose -4*w = -5*n + 358, 3*n - w - 208 = -2*w. Calculate the remainder when n is divided by g(-4).
34
Calculate the remainder when 752 is divided by ((4/3 - 1) + 0)*(56 + 31).
27
Let r(b) = b**2 + 23*b + 124. Calculate the remainder when 514 is divided by r(-15).
2
Let o(t) = 78*t - 1290. Calculate the remainder when o(18) is divided by 114.
0
Let x = -6028 + 6107. Calculate the remainder when 9795 is divided by x.
78
Suppose 46 = -t + 53. What is the remainder when 35 is divided by (-13)/(-1) - (8 - (t + -3))?
8
Let r(x) = x**2 + 11*x + 30. Suppose -16 + 6 = -5*c, 2*m + 4*c = -10. What is the remainder when 68 is divided by r(m)?
8
Suppose -76 = -5*i + 3*w, 8*i + 124 = 13*i + 3*w. Calculate the remainder when 2835 is divided by i.
15
Let z(b) = -6*b - 17. Let o be z(-8). Suppose 3*s + 2*t = o, 4*s + 4*t = 11 + 37. Calculate the remainder when 21 is divided by s.
0
Suppose 5*x + 34 = 4*h, 0 = h + 2*x + x. Let l be -6*(3/h)/(-1). Suppose -b = -t - 3*t - 71, -t - 257 = -l*b. Calculate the remainder when b is divided by 22.
21
Let g(b) = 2*b**2 - 109*b - 460. Let o be g(59). Let h = 91 + -153. Let z = h + o. Calculate the remainder when 32 is divided by z.
5
Let j(k) = 991*k - 103. What is the remainder when j(6) is divided by 79?
76
Suppose -5*u - 288 = -83. Let y = 71 + u. What is the remainder when y is divided by 19?
11
Let w(c) = -c**3 + 11*c**2 + 42*c - 194. Let z = 209 - 16. What is the remainder when z is divided by w(13)?
11
Suppose -4*j - 135 = j + 5*l, -2 = -l. Let q(f) = -2*f + 58. Let y be q(j). Let g = -47 + y. What is the remainder when g is divided by 20?
9
Suppose -4*l + 5*d + 197 = 0, -3*l + 105 = -2