hat is the remainder when 8748 is divided by k?
3
Suppose 21*r + 2657 - 5044 - 3115 = 0. Let n = 64 - 40. Calculate the remainder when r is divided by n.
22
Suppose -4*q = -0 - 88. Let l(h) = 5*h**2 - 62*h - 241. Calculate the remainder when l(-4) is divided by q.
21
Suppose -q - 3*q - 3*p + 42 = 0, 3*q - 5*p - 17 = 0. Suppose q*w + 13 = 10*w. Calculate the remainder when 46 is divided by w.
7
Let s = -10 - -12. Suppose s = 3*y - 1. Let z = -48 - -49. What is the remainder when z is divided by y?
0
Let g(s) = -29*s**3 + 3*s**2 - 3*s - 5. Suppose a - 14 + 3 = 4*r, -2*a = -r - 1. Calculate the remainder when 114 is divided by g(a).
24
Suppose 6147*l - 6161*l + 19824 = 0. Calculate the remainder when l is divided by 28.
16
Let x = 2468 - 2405. What is the remainder when x is divided by 30?
3
Let n(v) = -v**3 - 3*v**2 + 8*v + 85. What is the remainder when 1611 is divided by n(0)?
81
Let q(a) = -a**3 + 2*a - 1. Let k be q(1). Suppose -p - 418 = -4*d - 3*p, -4*p + 20 = k. Calculate the remainder when d is divided by 39.
24
Let h(i) = i - 3. Let m be h(5). Suppose 2*l = 4*p + 24, 3*l - m*p = 61 - 13. What is the remainder when (1/(-2))/((-9)/846) is divided by l?
11
Suppose -b - b = 6, 4*p - 3*b - 81 = 0. Let x = p + -16. Suppose x*j - 52 = 2*n + 26, -4*j + 150 = 2*n. Calculate the remainder when j is divided by 10.
8
Suppose -p + 5*p - 4*b = 288, -2*b + 226 = 3*p. Suppose -171 = -5*w + p. Suppose 3917*c - 25889 + 9274 = 594*c. What is the remainder when w is divided by c?
4
Let o(y) = -y**3 + 5*y**2 + 8*y + 2. Let p be o(6). Let u = p + 1. Suppose 255 = 6*z - 323 + 152. What is the remainder when z is divided by u?
11
Let o(l) = l**3 - 7*l**2 + 73*l - 593. What is the remainder when o(14) is divided by 41?
38
Suppose 4*y - 3*v = 85, -5*y + 4*v + 30 = -75. What is the remainder when -1024 + 1189 - (-1)/((-1)/(-6)) is divided by y?
21
Let v be 3*(2 + 21/(-9)). Let t be (-5)/(2/(-32)*v). Let x = 86 + t. Calculate the remainder when 53 is divided by x.
5
Let c(p) = 40*p**2 - 10*p + 10. Let z be c(2). Let v(u) = 5*u - 2. Calculate the remainder when (5/(z/12))/((-1)/(-80)) is divided by v(4).
14
Suppose 5*x = 12*g - 7*g + 810, -4*g + 756 = 5*x. What is the remainder when 1715 is divided by x?
155
Let o be (-31)/(-3) - 1/3. Let h be (-60)/(-150)*(o/4 - 0). Suppose 3*b - h = 122. What is the remainder when b is divided by 15?
11
Suppose -6*k = -2*k - 84. Suppose 4*d = -4*c + 510 - 54, 5*c = d + 570. What is the remainder when c is divided by k?
9
Suppose 5*j - u - 353 = -103, u = 3*j - 150. Suppose -11*g = j + 5. Calculate the remainder when 69 is divided by (28 - -3 - g)*(-1)/(-2).
15
Suppose 0 = 2*m + 14, w - 5*m + 132 = -w + 229. Let u = -8 - -24. What is the remainder when w is divided by u?
15
Suppose 0 = 5*v + t - 76 - 1325, v - 277 = -t. Suppose -v + 293 = z. Calculate the remainder when 83 is divided by z.
11
Calculate the remainder when 274 is divided by (-2)/((9861/1113)/(-19) + (-9)/(-21)).
9
Let n = -126 + 188. Calculate the remainder when 245 is divided by n.
59
Suppose -3322 + 28522 + 147 = 213*c. What is the remainder when c is divided by 83?
36
Let r be -4 + 6 + -1*(2 - 19). Suppose 0*v - 5*v + 5*o - 10 = 0, 4*o = -5*v - r. What is the remainder when 113 is divided by v*(-6)/9 - -36?
37
Suppose -2*x = 3*c - 156, -2*c + 76 = 6*x - 5*x. Let f = -188 + 445. Let v = f - x. Calculate the remainder when v is divided by 35.
33
Suppose -5*a - a = -90. Suppose 7*f - 43 = -a. Let c = -80 + 117. What is the remainder when c is divided by f?
1
Let n(r) = -76*r + 254. What is the remainder when n(-9) is divided by 191?
174
Suppose -14*m = -2*m - 804. Calculate the remainder when 6/12*-6 + m is divided by 23.
18
Suppose -45*u + 7070 = -16195. Suppose -39 = 2*r - 119. Calculate the remainder when u is divided by r.
37
Calculate the remainder when 57731 is divided by ((-3)/(-18)*-3)/((493/(-442))/29).
11
Let c(m) = m**3 + 11*m**2 - 43*m - 6. Let t be (-501)/(-33) + (-46)/11 + 4. Calculate the remainder when (234/(-45))/(((-24)/t)/4) is divided by c(-14).
5
Calculate the remainder when 5073 is divided by (-20224)/(-12) - 300/(-180).
12
Let c = -416 - -563. Let t = -45 - -85. Calculate the remainder when c is divided by t.
27
Suppose -3*d = 8*d - 1507. What is the remainder when 277 is divided by d?
3
Let m = 276 - 232. Let v(a) = 66*a**2 + 25*a + 46. What is the remainder when v(-2) is divided by m?
40
Suppose -7*v = -3*v - 208. Let z(s) = -s**2 + 6*s + 131. Let h = 160 - 146. Calculate the remainder when v is divided by z(h).
14
Let o = -10012 + 10015. Suppose 3 = 2*t - 3. Suppose -5*f + 7 + 83 = -o*h, h = t*f - 54. What is the remainder when 68 is divided by f?
14
Let q = 252 - 15. Suppose 145*t - q = 142*t. Suppose 4*l + t = 255. What is the remainder when l is divided by 6?
2
Suppose 210*t - 5964 = 198*t. Let k = -481 + t. Let a = -19 - -31. Calculate the remainder when k is divided by a.
4
Let z(c) = -c**2 + 5*c + 2. Let h be z(5). Suppose 3*j + 5*r = 62, -h*r - 22 = -3*j + 75. What is the remainder when j is divided by 12?
5
Suppose -h = -2 - 0, -239 = 3*n + 2*h. Calculate the remainder when 98 is divided by (-3)/((n/75)/9).
23
Let v = -253 + 516. Let r = 27161 - 27142. What is the remainder when v is divided by r?
16
Suppose 4*c - 16 = -4*c. Suppose c = -d - a, 8 = 3*d - 3*a - 16. Suppose -7*v - d*v + 150 = 0. What is the remainder when 53 is divided by v?
8
Suppose 11 - 33 = -11*q. Calculate the remainder when -3*(-1)/((-10)/(-18))*5 is divided by q.
1
Suppose 4*f - 184 + 83 = q, -5*q + 89 = 2*f. What is the remainder when 3047 is divided by f?
23
Let m = -6548 - -7709. Calculate the remainder when m is divided by 165.
6
Suppose 11458 - 15850 = -4*f. What is the remainder when f is divided by 3?
0
Let d be (-4)/16 - 20/(-16). What is the remainder when d*(-2)/12 - 7312/(-96) is divided by 16?
12
Suppose 3*v = -9, -2*v = -2*g + 132 + 182. Calculate the remainder when 330 is divided by g.
22
Let t(w) = -737*w - 5874. Calculate the remainder when 1800 is divided by t(-8).
18
Suppose 0 = -68*i + 84*i - 2576. Suppose 0 = -d + 5*r + 29, 0*d - 4*r = 2*d - 128. What is the remainder when i is divided by d?
53
Suppose -2457*x + 25750 = -2432*x. Calculate the remainder when x is divided by 24.
22
Let c(a) = -a**2 + 27*a - 34. Let i be c(17). Suppose -2*u + i = -0*u. Suppose 6*y = 2*y + u. Calculate the remainder when 83 is divided by y.
15
What is the remainder when 375 is divided by ((-3024)/(-324))/(2/3)?
11
Suppose 4457 = -14*c - 3313. Let b = -502 - c. What is the remainder when b is divided by 3?
2
Let u = -8883 - -8896. Let h(k) = -k - 3. Suppose -3*i = 3*s + 36, s + s = -4. What is the remainder when u is divided by h(i)?
6
Let b(z) = -z**2 + 21*z + 23. Let o = 19 - 7. What is the remainder when b(o) is divided by 22?
21
Let p(d) = -2*d - 12. Let f be p(-6). Suppose f = 4*t - h - 16, -4*h - 6 = 5*t - 5. Suppose t*y - 42 = -0. What is the remainder when 83 is divided by y?
13
Let b(a) = 68*a + 347. Calculate the remainder when 1006 is divided by b(-5).
5
Suppose 29*b - 3084 = 715. What is the remainder when 143 is divided by b?
12
Suppose 71*z = x + 74*z - 17, 0 = -2*x + 4*z + 54. Let q = -9 - -63. What is the remainder when q is divided by x?
8
Let g(b) = -4*b**3 + 6*b**2 + 5*b - 26. Let k(y) = -3*y**3 + 6*y**2 + 4*y - 27. Let j(o) = -2*g(o) + 3*k(o). What is the remainder when 359 is divided by j(4)?
7
Let u = 6653 + -6598. What is the remainder when u is divided by 12?
7
Suppose 26*w = 6*w + 1440. Suppose -w = -4*k + 112. Calculate the remainder when k is divided by 7.
4
Suppose -10*x = -2*x - 1216. Let k = -144 + x. Calculate the remainder when 10 is divided by k.
2
Let h = -83 + 64. Let u(r) = r**3 + 19*r**2 + r + 37. Calculate the remainder when u(h) is divided by 10.
8
Suppose 75 = 3*h + 2*f, -5*f = h - 30 + 18. Let v be (-5 - -6)/((-1)/(-5)). Suppose -3*g + 11 = v. What is the remainder when h is divided by g?
1
Let b(q) = -7*q**2 - 12*q + 15. Let p be b(-12). Let j = p - -483. Calculate the remainder when j*2*(-2)/12 is divided by 31.
29
Let p = 150 - 92. Let q be (-7 - -4) + 172/(-12)*3. Let x = q + p. What is the remainder when x is divided by 2?
0
Let h(i) = 5*i**2 + 4*i + 2. Suppose x - 3*q - 2*q - 36 = 0, 2*q + 40 = 2*x. Suppose x*v 