 when 3/(-8) + (-150900)/(-480) is divided by 54.
44
Let b(n) = 2*n**3 - 9*n**2 + 8*n + 1. Suppose 0*t = 5*t - 3*f - 81, -2*t + 36 = -3*f. Let z = t + -10. What is the remainder when b(z) is divided by 17?
15
Let s(j) = -j**2 - 6*j + 42. What is the remainder when 371 is divided by s(-9)?
11
Calculate the remainder when (-74621)/(-6) + (440/48 - 9) is divided by 68.
61
Suppose j - t - 256 = 0, -j + 3*t = -114 - 136. Calculate the remainder when 1004 is divided by j.
227
Suppose 0 = 5*s - 2*w - 2626 - 10113, 0 = -2*w + 6. Calculate the remainder when s is divided by 284.
277
Suppose 4*z = -0*z + s + 222, 0 = -z + 2*s + 52. Let r be -33*(-3 + 11/3). Let d(h) = -4*h - 73. What is the remainder when z is divided by d(r)?
11
Let u(x) = 3*x**2 - 67*x - 18. What is the remainder when 110 is divided by u(23)?
26
Let y(a) = -a**2 - 49*a - 314. Calculate the remainder when (-1 + -361)/((-8)/4) is divided by y(-40).
43
Let i be (-338)/(-6) + (-58)/174. Suppose 0 = 2*z - m - 175, 0 = -2*z - 4*m + i + 134. What is the remainder when z is divided by ((-9)/(-4))/(2/16)?
17
Suppose 0 = -5*v - r - 33, 0 = 5*r + 22 - 7. Let j(c) = c**2 - c - 10. Suppose -8*o = -6*o - 20. What is the remainder when j(v) is divided by o?
2
Suppose 0 = 2*t + 2*t - 4*l - 1568, -t = -3*l - 392. Suppose 3*r - 283 = -5*v, -3*v + 0*v = 4*r - t. What is the remainder when r is divided by 6?
5
Let p(h) = -17*h**3 + 207*h**2 - 25*h + 61. What is the remainder when 1148 is divided by p(12)?
183
Let y(j) = 2*j**2 - 326*j + 5366. Calculate the remainder when 5109 is divided by y(145).
145
Suppose 3*p - 48 = -w, -2*p + 87*w + 16 = 85*w. Let n(q) = 12*q - 9. What is the remainder when n(17) is divided by p?
13
Let h(u) = -11*u**3 - 2*u**2 + 1. Let w be 137 - (26/(-91) - 26/7). Let r = 176 - w. What is the remainder when r is divided by h(-1)?
5
Calculate the remainder when 1972 is divided by 2/(-14) - (-16380)/441.
11
Let t(u) = -u**2 - 30*u - 64. Let r be t(-28). Let d be (0 + (r - -3))*1. Let c = 23 - d. Calculate the remainder when 50 is divided by c.
22
Let o be 4/16*28 - 7. Suppose o = 2*w - 16*w + 4718. Calculate the remainder when w is divided by 34.
31
Let i = -82 + 90. Let u(c) = c**2 + 4*c - 72. Calculate the remainder when u(i) is divided by 17.
7
Suppose 4*d - 4 + 28 = 0. Let o = 19 - d. Let c(g) = -418*g + 7621. Calculate the remainder when c(18) is divided by o.
22
Suppose -2*o - 1353 + 187 = 3*v, 6 = -3*v. Let u = 598 + o. What is the remainder when 62 is divided by u?
8
Let t = -11307 - -11927. What is the remainder when t is divided by 584?
36
Suppose -148 = -2*x - 5*z + 10, 2*x - 176 = 4*z. Let p be 4/(-1 + (x/38)/2). Suppose 0 = -18*w + 1258 + p. Calculate the remainder when w is divided by 27.
18
Let h = 152 - 149. Suppose -4*j - 2*t = -510, -h*j = -t + 2*t - 383. What is the remainder when j is divided by 43?
42
Let h = -394 - -775. Suppose h = -r + 421. What is the remainder when 118 is divided by r?
38
What is the remainder when 1704 is divided by 9 + (-13)/(78/30) - (-2)/2?
4
Let w(r) = -27*r - 1595. What is the remainder when 594 is divided by w(-60)?
19
Suppose -216 - 24 = -8*k. Calculate the remainder when 92*24/160*k is divided by 8.
6
Suppose 3 = -5*c + 4*v + 7, 3 = 5*c - 3*v. Suppose 0*q + 11*q - 165 = c. Calculate the remainder when 194 is divided by q.
14
Let v(y) = -4*y**3 - 6*y**2 + 11*y + 42. Let q be v(-5). Suppose -341*j = -q*j - 196. Calculate the remainder when 243 is divided by j.
47
What is the remainder when (0/(-7))/3 - -560 is divided by 97?
75
Calculate the remainder when (-648)/(-2) - ((-40)/10 - 0) is divided by 130.
68
Let f(z) = z**3 - 35*z**2 + 164*z - 18. What is the remainder when f(4) is divided by 12?
10
Let t(j) = -57*j + 198. Suppose 13*h = -0 - 169. What is the remainder when t(h) is divided by 41?
37
Let p = -958 - -1263. Calculate the remainder when p is divided by 6.
5
Let t = -7 + 3. Let b be 54 + 1 + 0 + t. Let u = 71 - b. Calculate the remainder when 77 is divided by u.
17
Let n = -151 + 156. Suppose -n*d = -5*q - 225, 3*q - 152 = -5*d + d. What is the remainder when 120 is divided by d?
38
Let t be (-27)/6*(-6)/9. Suppose 63 - t = 5*x. Calculate the remainder when x is divided by ((-1)/(-2)*(15 + -51))/(-2).
3
Let p = 33034 - 32778. Calculate the remainder when p is divided by 131.
125
Suppose -2403*g + 2396*g = -357. Calculate the remainder when 7087 is divided by g.
49
Let c = 156 + 12. Let m = c - 140. What is the remainder when m is divided by 8?
4
Let v = -68 - -57. Let f(z) = z**3 + 10*z**2 - 18*z - 2. What is the remainder when f(v) is divided by 6?
3
Suppose -3*l = 4*d - 6*d + 763, -3*l + 1137 = 3*d. What is the remainder when d is divided by 97?
89
What is the remainder when (((-8)/(-7))/2)/(272/40936) is divided by 13 - (0 - 3) - -2?
14
Suppose 2*u = -5*m - 15, 7 + 8 = -4*u - 5*m. What is the remainder when (-4 - (5 + -2))*-1 is divided by (2/(-6) + u)*-15?
2
Let w = 4646 - 4080. Calculate the remainder when w is divided by 25.
16
Suppose 13 = -r - 22. Calculate the remainder when (10 - 5)*18/10 is divided by 10/r + 3 + 64/28.
4
Let q(v) = -22*v + 3. Let d = 118 - 121. What is the remainder when 342 is divided by q(d)?
66
Suppose 0*w - 32670 = -8*w + 70906. What is the remainder when w is divided by 52?
51
Let f = 17 + -5. What is the remainder when 6/(-42) - (17658/(-63))/9 is divided by f?
7
Let v be 14/14*12/3. Suppose -5*o + 170 = -v*q - 465, -3*q = -o + 116. Calculate the remainder when o is divided by 33.
32
Suppose 493 = 23*b - 335. Calculate the remainder when 444 is divided by b.
12
Let i be 28/32*4*16. Let q = i + -44. What is the remainder when (-3402)/(-77) - 2/11 is divided by q?
8
Let n(q) = -8*q - 203. Suppose 54*o - 50*o = -4*c - 124, 101 = -3*o + 5*c. What is the remainder when 263 is divided by n(o)?
51
Suppose 7 = d + 4*u, 0*u - 101 = -3*d + 4*u. What is the remainder when 9606/36 - (3 - 38/12) is divided by d?
24
Let n(d) = 2*d**2 + 11*d - 4. Suppose 5*f - 11 - 14 = 0. What is the remainder when f is divided by n(-6)?
1
Let s(f) = 12*f**3 + 59 - 4*f - 10*f**2 - 43 - 14*f**3. What is the remainder when 104 is divided by s(-5)?
32
Let c = 150 + 699. Calculate the remainder when c is divided by 278.
15
Suppose -128 = -2*x + h, -346 = 2*x - 7*x - 4*h. Calculate the remainder when 370 is divided by x.
40
Let n = 247 + -152. Let h = n + -83. Calculate the remainder when 165 is divided by h.
9
Let j = 31771 + -4504. Calculate the remainder when j is divided by 45.
42
Let b = 125 - 122. Suppose 8*k - 85 = b. Calculate the remainder when 140 is divided by k.
8
Suppose 4940 = 4*q - 2*c, 3*q - 4262 + 518 = -5*c. What is the remainder when q is divided by 177?
176
Let u be 970 - (-3 + 6 + -5). Calculate the remainder when 26 is divided by u/189 + (-1)/7.
1
Suppose 33*n + 450 = 38*n. Let a = n - 2. Calculate the remainder when a is divided by 15.
13
Let b = 9315 - 8117. What is the remainder when b is divided by 85?
8
Let f(s) = -2*s**3 + 2*s**2 + 7*s + 5. Let p be f(-5). Suppose 4*b - p - 390 = 0. Let j(h) = 27*h - 2220. What is the remainder when b is divided by j(83)?
18
What is the remainder when (-96)/(-112) + (2088/210)/((-2)/(-30)) is divided by 55?
40
Let l = -50 - -56. Suppose 0 = -0*c - l*c. Suppose 3*d = -c*d + 9. What is the remainder when 14 is divided by d?
2
Let m be (-595)/153 + ((-2)/(-1))/(-18). Calculate the remainder when 35 is divided by 1 + m/4 + 22 + 3.
10
Let r(y) = -y**3 - 17*y**2 - 21*y - 2. What is the remainder when r(-16) is divided by (2310/(-20))/11*-2?
15
Suppose 0 = -4*x + 3*o + 48, -83*x = -81*x + 2*o - 38. Suppose 0 = -5*q + 143 + 187. What is the remainder when q is divided by x?
6
Let b = 245 - 167. What is the remainder when (1222/b)/((-1)/(-12)) is divided by 63?
62
Let n = -53532 + 100891. What is the remainder when n is divided by 37?
36
Suppose 4*z + 11*o - 10*o = 9516, -z + 2379 = -3*o. Calculate the remainder when z is divided by 15.
9
Let v = -5050 - -5240. What is the remainder when v is divided by 141?
49
Suppose 0 = 79*f - 285*f - 54*f + 80340. What is the remainder when f is divided by 155?
154
Suppose -3 - 3 = -s - o, -5*s = -2*o - 37. Let c = 1118 + -1020. Calculate the remainder when c is divided by s.
0
Suppose 0*n = 2*i + 4*n - 78, -5*i - 2*n = -235. Suppo