alculate the remainder when (17 + (-380)/8)*(-36)/2 is divided by 31.
22
Suppose 2*a = 13 - 1. Suppose 5*m - 2*h = 15, 12 = 4*m - 4*h + 3*h. Suppose 5*b - 10 = 0, -4*k + b + 28 = -m*b. What is the remainder when k is divided by a?
3
Let v = 158 - 154. Suppose -w + v*u + 6 = 0, 3*w + 0*u = -5*u + 18. Calculate the remainder when 74 is divided by w.
2
Calculate the remainder when 227 - (-99)/(0 - 11) - 4 is divided by 56.
46
Let j(v) = -30*v + 4058. Calculate the remainder when 194 is divided by j(133).
58
Let c be (-35)/(0 + 0 + -1). Suppose -2*r + 5*x + 48 = 0, -3*r = r + 4*x - 152. Suppose -c*l + 17 = -r*l. Calculate the remainder when l is divided by 3.
2
Suppose 3*o = -5*a + 148 + 54, 5*a + 4*o = 206. What is the remainder when 567 is divided by a?
35
Let z(d) = -66*d - 11. Suppose 34 - 46 = 4*w. Let k be (-7 - (0 + -4))*(-1)/w. Calculate the remainder when z(k) is divided by 15.
10
Let a(u) = 17*u**2 - 3*u - u**3 + 12 - 3*u**2 - 2*u - 8*u. Calculate the remainder when a(13) is divided by (6/(-5))/((-16)/40).
0
Suppose -1577 + 477 = -20*f. Let z = f - 8. Calculate the remainder when 234 is divided by z.
46
Suppose -3*j + 5*h + 2 = 0, j = -4*h + 5 + 7. Suppose -223 = -4*n + 3*x, 5*n + j*x - 275 = -35. What is the remainder when 987 is divided by n?
51
Let u be -3*(104/30)/(12/(-30)). Let g = u + -34. Let z = 25 + g. What is the remainder when 32 is divided by z?
15
Suppose 8 + 2 = 2*s. Let q = -1467 - -1541. Suppose -q = -3*g + 5*m, -2*g - s*m - 2 = -g. What is the remainder when 70 is divided by g?
16
Let a(y) = 4*y - 5. Let m be a(2). Suppose -m = -3*d + 4*d. What is the remainder when 135 is divided by ((-8)/d + 18/(-27))*17?
33
Suppose 1122 - 87 = 3*z. Suppose -5*q = 4*c - z, 8*q + c - 265 = 4*q. Calculate the remainder when 253 is divided by q.
58
Suppose -11*s + 214 + 295 = 344. Calculate the remainder when 72 is divided by s.
12
Let w = 146 - 63. Suppose 306 = 30*j + 21*j. What is the remainder when w is divided by j?
5
Let i = 419 + -385. Suppose 4*k = -j + 21, 4*k - j = -k + 15. Suppose -2*m + i = k*b, m + 2*m + 15 = 5*b. What is the remainder when b is divided by 4?
2
Let m = 38 - -31. Calculate the remainder when m is divided by 4/(200/30)*2/((-4)/(-170)).
18
Let u = 76534 + -76519. Suppose -2*d + 4*x + 130 = 0, 3*d - x = -2*d + 334. What is the remainder when d is divided by u?
7
Suppose 2*t - 3231 - 1563 = 4*u, 7189 = 3*t - 4*u. Calculate the remainder when t is divided by 16.
11
Let z(o) = o**3 + 48*o**2 - 439*o - 14. Calculate the remainder when z(8) is divided by (-1)/(-1*(-2)/(-14)).
2
Let l(y) = -y**3 - 18*y**2 - y - 18. Let i be l(-18). Suppose 5*g + 5*n - 60 = i, -g = -2*g + n + 4. Calculate the remainder when 28 is divided by g.
4
Suppose 25*t - 29*t - 2054 = -83*t. What is the remainder when 193 is divided by t?
11
Let g = -455 + 500. Suppose -39*d = -g*d + 2844. Calculate the remainder when d is divided by 14.
12
Suppose 3*x - 58 = x. Suppose 3*y = -2*l + 4*l + 25, 2*y - 2*l - 14 = 0. Calculate the remainder when x is divided by y.
7
Suppose -33*k + 30*k - 2*j = -695, 0 = -2*k + 3*j + 459. Suppose 0 = 9*r - 20*r + k. Calculate the remainder when 96 is divided by r.
12
Let w(n) = 1 - 1 + 7 - 1 - 25*n + n**3 + 10*n**2. Let h(c) = -c**3 + 21*c**2 + 26*c - 2. What is the remainder when h(22) is divided by w(-12)?
14
Let y(i) = i**2 - 66*i + 1062. Calculate the remainder when y(16) is divided by 17.
7
Let p be 114*(32/(-12) - -3). Suppose 8 = 40*x - p*x. Suppose 2*d - 216 = x*t, -4*d - 8*t + 3*t = -445. What is the remainder when d is divided by 29?
23
Let o(q) = 8*q + 32. Let a be o(-7). Calculate the remainder when 4 is divided by (28/84)/(((-2)/a)/1).
0
Let w = -268 - -413. Suppose 5*s = t + w, 19 = 4*s + 4*t - 97. Calculate the remainder when (-993)/(-7) + 3/21 is divided by s.
26
Let f = 6632 + -6296. What is the remainder when f is divided by 228?
108
Let l = 601 + -916. Let v = l - -320. Calculate the remainder when 28 is divided by v.
3
Let a = -1375 + 665. Let y = -642 - a. Suppose 5*r - t - 48 = 0, -5*r - 2*t = 3*t - 60. Calculate the remainder when y is divided by r.
8
Suppose -182*l = -180*l + 3*k - 1328, l - 700 = 3*k. What is the remainder when l is divided by 115?
101
What is the remainder when 3/24 - 1175/(-8) is divided by 34 - (-3 - 1) - 0?
33
Calculate the remainder when (-1*(-18344)/(-16))/((-7)/14) is divided by 62.
61
Let s = 97 - 81. Let y(a) = -13*a + 12. Let w be y(4). Let l = w + 83. What is the remainder when l is divided by s?
11
Let w be 58*(3 - (1 - -1)). Suppose 3*r - r + w = -4*i, -67 = 5*i - 3*r. Let g = -5 - i. Calculate the remainder when 34 is divided by g.
7
Suppose 0 = 2*c - 0*c - 44. Let g = -126 + 543. Calculate the remainder when g is divided by c.
21
Let h(g) = -3*g**2 + 69*g + 60. Let d be h(22). Suppose -9*a + 14*a - 3*k - d = 0, 0 = 3*k - 9. Calculate the remainder when 128 is divided by a.
20
What is the remainder when 301 is divided by (-620)/4340 + (0 - (-134)/7)?
16
Suppose -38*k + 32*k + 744 = 0. Suppose 10*h - k = 266. Calculate the remainder when h is divided by 14.
11
Suppose 0 = -3*o + i - 43, 4*o + 5*i + 68 = i. What is the remainder when (-3*(-10)/o)/(2/(-59)) is divided by 31?
28
Suppose 4*a - g = 4127, 5*a - 1304 = -2*g + 3845. What is the remainder when 2067 is divided by a?
5
Let w(q) = 7*q**2 - 7*q - 31*q**3 + 32*q**3 + 5 - 13. Suppose -4*g = 5*l - 82, 0 = 3*l - 0*g + g - 45. Calculate the remainder when w(-7) is divided by l.
13
Let l(i) = 4*i**3 - 77*i**2 + 20*i - 6. Suppose 0 = -362*o + 363*o - 233. What is the remainder when o is divided by l(19)?
12
Suppose 5*s = 5*s - 2*s. Let j be 1 - s - (0 - (-3 - -1)). What is the remainder when ((-3)/6)/(j/152) is divided by 20?
16
Let g be 2/7 - (-170)/(-7). Let u = 54 + g. Suppose 3*o - u = -3*o. What is the remainder when 13 is divided by o?
3
Let o(k) = 3*k - 4. Suppose 6*y - 25*y - 2*y = 0. Suppose y = -20*f + 69 - 9. Calculate the remainder when o(4) is divided by f.
2
What is the remainder when (15/30)/(-5 - 10206/(-2040)) is divided by 55?
5
Let j = 193 - 12. Calculate the remainder when 575 is divided by -1*(-6)/8*(j - 117).
47
Let s(d) = -2*d - 27. Let c be s(4). Let i = -14 - c. Let y(u) = u**2 - 14*u - 32. What is the remainder when y(i) is divided by 60?
55
Let a be (462/(-42))/((-2)/(-42)). Let c = a + 246. What is the remainder when 23 is divided by c?
8
Let m(a) = -2*a**2 - 43*a - 3. Let c be m(-18). Let d = 205 - c. Suppose 0 = 2*t - d - 0. What is the remainder when t is divided by 22?
19
Suppose 6*n - 1448 + 1100 = 0. What is the remainder when 300 is divided by n?
10
Let v(g) = -65*g + 67. Suppose -c + 2*c - 3*w - 8 = 0, -30 = 5*c - w. What is the remainder when v(c) is divided by 35?
32
Suppose 5*h = 2*r + 106, h - 3*r + 91 = 6*h. Let d be ((-10 + 19)/(-3))/(2/(-2)). Let f = d + 3. What is the remainder when h is divided by f?
2
Let j(a) = -725*a + 255. Calculate the remainder when j(0) is divided by 16.
15
Let k = 1384 + -1448. Let q be 1 + -10*11 - 0. Let x = k - q. What is the remainder when x is divided by 8?
5
Suppose 0 = 4*c - 5*q - 257 + 214, -c + 4 = q. What is the remainder when 2/(-1)*7/(-2) is divided by c?
0
Let k = -5 + 2. Let c(s) be the second derivative of -s**5/20 - s**4/12 - 5*s**3/6 - 3*s**2/2 + 27*s - 2. Calculate the remainder when c(k) is divided by 17.
13
Let k be 1*(3 + -4) + 1. Calculate the remainder when 10 is divided by 2*(k - 6/24*-6).
1
Let u(j) = -4*j + 8. Let c(h) = 8*h**3 - 166*h**2 - 217*h + 133. What is the remainder when c(22) is divided by u(-8)?
39
What is the remainder when 461 is divided by -300*(3/8)/(45/(-30))?
11
Suppose -1179 = -98*o + 25575. What is the remainder when 38492 is divided by o?
272
Let b(f) = 1020*f - 1069. Calculate the remainder when b(4) is divided by 22.
19
Let g(u) = 6*u + 156. Let w be g(-26). Suppose w = -6*q + 27 - 3. What is the remainder when 124/7 - 2/(-7) is divided by q?
2
Let l(w) = 37*w**2. Let k be l(-1). Let v = 48 - k. Let m = -157 + 167. Calculate the remainder when v is divided by m.
1
Suppose -x = 4*d - 2*d - 6598, x = -d + 6598. What is the remainder when x is divided by 60?
58
Let a = 14589 + -12510. Calculate the remainder when a is divided by 346.
3
Let g(l) = -l**3 + l**2 + 2. Let f be g(2). Let u = 1345 + -1320