ivided by 109.
103
Suppose 2*q = 6 + 4. Suppose 6*p - 12*p - a + 44 = 0, 0 = p - 3*a - 20. Calculate the remainder when p is divided by q.
3
Suppose -26*x + 27*x - o = 1145, x - 2*o = 1138. What is the remainder when x is divided by 187?
30
Let b(w) = -10*w - 1. Calculate the remainder when ((-4)/9)/((-35777)/3249 + 11) is divided by b(-1).
2
Let h be 14/(-28) - (-1)/2. Suppose -8*p - 21*p + 4698 = h. What is the remainder when p is divided by 57?
48
Suppose 54*d + 22*d - 2128 = 0. Calculate the remainder when 321 is divided by d.
13
Suppose -17*k + 24*k = 63*k - 30856. What is the remainder when k is divided by 271?
9
Suppose -h + 15 = -0. Suppose -4*u = -2*v - 10, -5 = -v - 2. What is the remainder when h is divided by 5 + 4 + 0 + -9 + u?
3
Let k = -37617 - -37907. Calculate the remainder when 1737 is divided by k.
287
Let k(r) = 9*r**2 - 3*r + 3. Calculate the remainder when (-102)/(1160/(-140) + 8) is divided by k(2).
27
Suppose -2*x - x - 9 = 0. Calculate the remainder when (-8)/6*1242/(-36) is divided by -2 + 4 - (x + 0 + -3).
6
Suppose 0 = 8*y - y - 63. Let x be (-3)/y - 0 - 1/(-3). Suppose -4*a - 8 = 0, 5*w = 5*a - x*a + 55. Calculate the remainder when 43 is divided by w.
7
Let l be ((-2 - 8) + -1)*-22. Let r = 460 - l. What is the remainder when r is divided by 55?
53
Suppose -3*h = -5*h - 5*i - 294, i = -2. Let r = h - -170. Suppose z - 5 = 8. What is the remainder when r is divided by z?
2
Let q = 8325 - 8155. Calculate the remainder when q is divided by 161.
9
Let w(j) = -9*j + 290. What is the remainder when w(6) is divided by 3?
2
Suppose 5 = 3*g + 4*s - 3, -32 = -3*g + 2*s. Let v = g - 3. What is the remainder when 13 is divided by v?
3
Suppose -5*y - 5*q = 433 - 38, 3*q = 6. Let s = y + 102. Let g = s - -9. Calculate the remainder when 147 is divided by g.
27
What is the remainder when (-28)/(126/(-9)) + (120 - 2) is divided by 102?
18
Suppose 147*h = 135*h + 6444. Calculate the remainder when 1618 is divided by h.
7
Suppose 75*x + 3379 - 3701 - 5078 = 0. Calculate the remainder when 6261 is divided by x.
69
Calculate the remainder when 0 + -10 - (-1 + -200) is divided by 14.
9
Suppose -3*t = w - 18, -3*t + 2*w = w - 24. Let i(c) = c**2 - 4*c + 1. Let h be i(t). What is the remainder when 56 is divided by h - (1 - 10/(-5))?
18
Let u(c) be the third derivative of 23*c**4/24 - 17*c**3/2 + 18*c**2 + 3*c. What is the remainder when u(3) is divided by 4?
2
Let q = -8771 + 9229. Calculate the remainder when q is divided by 202.
54
Let k(b) = 7*b - 6. Let p be k(4). Suppose 3*w + w = 20. Suppose -w*y = -62 + p. Calculate the remainder when 13 is divided by y.
5
Let l(i) = 2*i**3 - 10*i**2 + 2*i - 6. Let b be l(5). Let m be 0/(b + 0 - 5). Suppose 3*k - 30 = -m*k. Calculate the remainder when 21 is divided by k.
1
Suppose 0 = 5*u + 19 + 6, w + u = 62. What is the remainder when w is divided by 37 - 19*(-66)/(-57)?
7
Let x be 229*26/39*6/4. Suppose -x = -17*b + 9. What is the remainder when 25 is divided by b?
11
Let m = -100 + 159. Suppose -3*y + m = -184. Let j = y - 62. What is the remainder when j is divided by 6?
1
Let i(z) = -z**3 - 3*z**2 + 5*z + 1. Let r be i(-4). Let s be -162*((-2 - r/(-6)) + 2). Let n = -33 + s. Calculate the remainder when 143 is divided by n.
47
Let z be 2/(-8) + (-126)/(-24). Suppose 2 = -i - 0, -j + z*i = -18. Suppose 0 = -229*u + 206*u + 1035. Calculate the remainder when u is divided by j.
5
Let w(z) = 72*z**2 - 790*z - 10. What is the remainder when 19702 is divided by w(11)?
10
Suppose -4*a - 7*o + 6 = -8*o, -8 = -5*a + o. Suppose 11*x - 10*x = 3*t - 43, -5*t - a*x + 90 = 0. What is the remainder when 42 is divided by t?
10
Let i(w) be the first derivative of w**4/4 + 4*w**3/3 - 9*w**2 + 25*w - 46. Calculate the remainder when 21 is divided by i(-7).
1
Calculate the remainder when (963/6)/((-93)/(-248)) is divided by 100.
28
Suppose 20 = -2*n, -3*g - g - 762*n = -767*n - 106. Let v = 13 + 69. What is the remainder when v is divided by g?
12
Calculate the remainder when (2/5)/((-63)/(-1890)) is divided by 9.
3
Let c = 1 + 1. Suppose 6 = c*q + 2*a, q + 3*a - 5*a = 12. Suppose w - 7250*p + 7 = -7246*p, -96 = -3*w + 3*p. What is the remainder when w is divided by q?
3
Suppose -362 = -2*q + 4*r, -114*q + 5*r - 633 = -118*q. Calculate the remainder when q is divided by 86.
81
Let q(u) = -8*u**2 - 128*u + 216. What is the remainder when 758 is divided by q(-17)?
38
Calculate the remainder when 10582 is divided by 383*((-2)/(-3) + (-21)/(-63)) - 5.
376
Suppose 0 = -3*k + 4*k - 4. Let i(z) = z**2 + 17*z + 97. Calculate the remainder when i(-6) is divided by k.
3
Let c = 7484 + -7094. What is the remainder when c is divided by 8?
6
Let v = 2985 + -2898. Calculate the remainder when 3740 is divided by v.
86
Let a = 28105 + -27895. Calculate the remainder when 16588 is divided by a.
208
Let w = 39 + -69. Let z = w - -33. Suppose -2*f - 3*j + 11 + 11 = 0, 0 = 4*j. Calculate the remainder when f is divided by z.
2
Let q = -4 + 13. Let o(n) = -n**3 - 29*n**2 - 59*n - 28. Calculate the remainder when o(-27) is divided by q.
8
Suppose 21*i - 18 = 15*i. Suppose -i*a + 3*w = 2*w - 33, 4*w = 3*a - 33. What is the remainder when 20 is divided by a?
9
Let y = 203 + -183. Suppose -y*p + 357 = p. What is the remainder when (-1 + 12)*6/2 is divided by p?
16
Suppose -19*p = -15*p - 744. Suppose -4*g - 4*x + 240 = 0, -3*g - 2*x + p = 3*x. What is the remainder when g is divided by 3?
0
Let c(l) = l**2 - 25*l - 28. Let p be c(29). Suppose -s - p = -349. What is the remainder when s is divided by 54?
45
Suppose 254 = -2*l + 4*l. Suppose v - 76 = p + 2*p, p = 2*v - l. Calculate the remainder when v is divided by 16.
13
Suppose 6*v - 6*v = 12*v. Let l(q) = 6*q + v*q - 3*q. Calculate the remainder when 3 is divided by l(1).
0
Let r = 9 + 16. Suppose -23*i - r = -28*i. Calculate the remainder when 14 is divided by i.
4
Suppose 14*t - 17*t = -33. Let g(d) = 19*d + 124. Calculate the remainder when g(-4) is divided by t.
4
Let s(t) = -22*t**3 - 2*t**2 - t - 2. Suppose 3*y = 2*i + 15, -3*y + 2 + 4 = i. What is the remainder when s(-2) is divided by (-1 - y) + 1 - -46?
39
Suppose 8 = -u - 43. Let w = u + 64. Suppose 55 = -w*p + 18*p. What is the remainder when 21 is divided by p?
10
Let j(w) = -2*w**2 - 79*w + 50. Let r = 188 - 227. What is the remainder when j(r) is divided by 26?
11
Suppose 8*f - 195 = 3*f - 5*p, -43 = -f - 2*p. What is the remainder when f is divided by ((-408)/(-16))/(-1*3/(-4))?
1
Let y be 1668/(-4) + (-12)/(-6). Let w = y - -806. Calculate the remainder when w is divided by 56.
55
Let j be 3/(-18)*-9*(-690)/(-45). Suppose j*b - 575 = 460. Calculate the remainder when 404 is divided by b.
44
Let x(i) be the second derivative of i**5/20 - 3*i**4 - 35*i**3/6 - 9*i**2/2 - 5*i. What is the remainder when 317 is divided by x(37)?
57
Suppose 0 = 5*i - 3*n - 190, -87 = -2*i - n - 0*n. Calculate the remainder when i is divided by (-44)/4*-2 + 1 + -1.
19
Suppose -7*g = -8*g - 4*g. Suppose -111 = -4*v + 137. What is the remainder when v is divided by (3 - g - 4)/((-9)/207)?
16
Let j(p) = -236*p + 526. What is the remainder when j(0) is divided by 3?
1
Suppose 7086 + 12853 = 127*h. What is the remainder when h is divided by 46?
19
Let u(d) = 4*d**3 - 11*d**2 + 4*d + 11. Let f(b) = 3*b**3 - 11*b**2 + 3*b + 10. Let x(g) = -3*f(g) + 2*u(g). What is the remainder when 900 is divided by x(10)?
80
Let v = -83 - -77. Let u(n) = -n**3 - 8*n**2 - 14*n + 4. What is the remainder when u(v) is divided by 39/7 + (-18)/(-42)?
4
Suppose -4*q + 374 + 214 = 0. Calculate the remainder when q is divided by (-13)/((-819)/1602) - (-9)/(-21).
22
Calculate the remainder when (-3240)/(-405) - 2/(4/(-554)) is divided by 67.
17
Let d = -3567 - -3650. What is the remainder when 273 is divided by d?
24
Let y = -137 - -153. Let d(u) = 2 + 2 + 6 - y*u - 17*u**2 - u**3. Calculate the remainder when 59 is divided by d(-16).
9
Let s = 2222 - 421. Suppose 0 = -14*b - 555 + s. Calculate the remainder when b is divided by 7.
5
Let r(l) = 4*l**2 + 23*l - 27. Let v be r(-18). Suppose -v = b - 16*b. Calculate the remainder when b is divided by (-62)/(-3) - 2/3.
17
Suppose -5*v - 30 = -5*w, 9 = 2*w + 5*v - 10. Suppose w*p - 69 = 50. Let a = 33 + -1. Calculate t