0). Let n = 106 + z. Calculate the remainder when n is divided by 17.
14
Suppose 4*u + 80 = 2*p, 0 = -5*u - 3 + 23. Let q be (-1 + -8)*(22 - 19). What is the remainder when p is divided by 5 + q/(-6) - 6/(-4)?
4
Suppose -12 + 8 = -2*w. Let i be 2/12*-2 + 80/6. Calculate the remainder when (-7 - -4) + i*w is divided by 4.
3
Let w(u) = -u**3 + 6*u**2 + 12*u - 12. Suppose 0 = -4*n + 2*b - 30, -n - 18 = 3*b - 7*b. What is the remainder when w(7) is divided by (52/n)/(18/(-27))?
10
Suppose 7*c + 1077 = 398. Let p = 134 - c. Suppose -p = -3*k - 4*k. Calculate the remainder when k is divided by 4.
1
Let p be (-866)/10 + 6/(-15). Let g be (-2)/3 - p/9. Suppose u = 3 + g. What is the remainder when u is divided by 8?
4
Let n(h) = 8*h - 7. Let w(i) = i**2 - 65*i + 844. Calculate the remainder when w(14) is divided by n(3).
11
Let k = 32 - -6. Calculate the remainder when (1108/42 - 4/(-14))/((-1798)/(-5394)) is divided by k.
4
Let y = 359 - 304. Suppose 2*a = -4*p + 70, -12*a + 10*a + y = -p. What is the remainder when 51 is divided by a?
22
Suppose -22 = 2*k - 4*k. Calculate the remainder when ((-13335)/(-85) - -6) + (-6 - 520/(-85)) is divided by k.
9
What is the remainder when 180/(-24)*3/18*(-533 - 3) is divided by 165?
10
Suppose t - 5*b - 8 = 0, 5*t + 5 - 101 = -3*b. Calculate the remainder when 898 is divided by t.
16
Suppose 4*a = 2*d + 4, 0*a + 4*a + 2*d = 12. Suppose -123 = -a*q - q. What is the remainder when 120 + -3 + (0 + -2)*-2 is divided by q?
39
Let j = -5807 + 5930. What is the remainder when j is divided by 73?
50
Let s be (1 - 11)*((-245)/2)/7. Suppose 6*x = x + s. Suppose -12 = 5*d - 42. What is the remainder when x is divided by d?
5
Let r(l) = 34*l - 2. What is the remainder when (2 + (-20)/7)/((-26)/416689*19) is divided by r(2)?
63
Suppose 5*o = -2*q + 468 + 713, 0 = 4*o + 2*q - 946. Calculate the remainder when o is divided by 79.
77
Suppose 0 = -24*m + 27*m - 2982. Suppose m = -14*h + 3164. What is the remainder when h is divided by 52?
51
Suppose -3*j + 7*j - 22 = -2*n, 2*n = 6. Suppose -42 = -j*q - 26. Suppose -q*t = h - 0*t - 83, 2*t + 314 = 4*h. What is the remainder when h is divided by 12?
7
Let h(z) = 52*z + 1668. Calculate the remainder when h(-21) is divided by 60.
36
Let x be -5*(1 - (-24)/(-15)). Calculate the remainder when x/(0 + (0 - -1)) is divided by (4/5)/(9/(-5)*(-36)/162).
1
Let o = 9504 + -5611. Suppose 11*h - o = 672. Calculate the remainder when h is divided by 11.
8
Let j(o) = -4*o**3 + 215*o**2 + 55*o + 75. What is the remainder when 311 is divided by j(54)?
53
Suppose -11*v + 1278 = -5*v. Let j = -125 + v. What is the remainder when j is divided by 46?
42
Let m = 260 + -171. What is the remainder when 622 is divided by m?
88
Let n(a) be the first derivative of -a**2/2 - 4*a - 5. Let w(o) = 2*o + 6. Let i(l) = -8*n(l) - 5*w(l). Calculate the remainder when 13 is divided by i(-1).
1
Let w be (-15 - -3)*7/(-2). Suppose -4*d + 2*d = -w. Let a = 173 + -92. What is the remainder when a is divided by d?
18
Let z(d) = -2*d + 6*d - 49*d**3 + 4 - 1. Calculate the remainder when 138 is divided by z(-1).
42
Let c(r) = r**2 + 255*r + 13030. Calculate the remainder when 954 is divided by c(-70).
74
Suppose 0 = 4*a - 10 - 10. Let q(n) = 18 + 345*n**2 + 9*n + a*n - 344*n**2. Calculate the remainder when 35 is divided by q(-14).
17
Suppose -46*y + 12 = -40*y. Suppose -y = -157*b + 156*b, -768 = -5*w - 4*b. Calculate the remainder when 310 is divided by w.
6
Let t(i) = -2*i**2 + 141*i - 881. What is the remainder when 96 is divided by t(63)?
32
Suppose -96*o + 101*o = -2*c + 5961, c + 3559 = 3*o. What is the remainder when o is divided by 109?
99
Let x(r) = 3*r**2 + 197*r + 3210. Calculate the remainder when 3628 is divided by x(-37).
16
Suppose 3 = -u + 4*m, u = m + m - 1. Calculate the remainder when 16/16 + u/((-1)/(-46)) is divided by (-2)/(-2)*1 - -15.
15
Suppose -740 = -12*v + 782 - 430. Calculate the remainder when 305 is divided by v.
32
Let m = -1355 - -1383. Calculate the remainder when 16432 is divided by m.
24
Suppose -24 = -16*a + 20*a. What is the remainder when (15/4)/(a/(-80)) is divided by 18?
14
Let z be -3 + 10 - 1/((-2)/(-4)). Suppose 8*r = -u + 5*r + 130, -735 = -z*u + 2*r. Calculate the remainder when u is divided by 21.
19
Calculate the remainder when 90 is divided by (-3)/(-2) + -1 - (-1113)/42.
9
Suppose -114*a + 1500 + 1350 = 0. What is the remainder when 1120 is divided by a?
20
Suppose -9*r = -12*r + 30. Suppose r = a + 6. Suppose 4*m = -a*z + 52, -z - 29 = -m - m. What is the remainder when 82 is divided by m?
12
Let i = -209 + 290. Suppose d - i = -19. What is the remainder when d is divided by 21?
20
Suppose 1006*z - 3510 = 991*z. Calculate the remainder when z is divided by 203.
31
Let b be (-3)/(-1*18/102). Suppose 732 = -11*v + b*v. Suppose -3*u + 2*o = -83, 33 = -2*u - 3*o + 110. What is the remainder when v is divided by u?
29
Let a = -9 - -25. Calculate the remainder when 6/((-24)/(-100)) - (-6 + 0) is divided by a.
15
Let u(v) = -v**2 + 8*v + 4. Let c(j) = j + 24 + 8 - 6 - 3. Let t be c(-15). What is the remainder when 4 is divided by u(t)?
0
Let a = -5 - -5. Suppose -i + a*t = 2*t + 3, -5*t = -i - 24. Calculate the remainder when 31 is divided by 2/i - (-1110)/135.
7
Let o = 22 - -197. What is the remainder when o is divided by 22?
21
Suppose 5*y - 1488 = k, 6*y - 4*k + 565 = 2345. Calculate the remainder when 1193 is divided by y.
1
Let u be 4156/6*(-6)/(-4). Let v = u + -495. Suppose n = 5*n - f - 538, 4*f + v = 4*n. Calculate the remainder when n is divided by 45.
44
Suppose t - 4*c = -4, -2*t + c + 14 = 2*t. What is the remainder when 48 is divided by t - 0 - (9 + -18)?
9
Let m be (-37620)/(-156) + (-6)/39. Suppose -k + 2*n = 85 - 321, -k + n = -m. What is the remainder when k is divided by 19?
18
Let b(u) = 9*u**2 - 103*u - 11. Suppose 3*k - 116 = w, -k = 2*k + 5*w - 104. Calculate the remainder when b(13) is divided by k.
19
Let n be 28*(-1)/(-12)*33. Let m = 101 - n. Suppose m = 7*b - 18. What is the remainder when 15 is divided by b?
3
Let q be 3 - 7/(7/3). Let y be 3*(q - (-5 - -2)). Suppose y*v - 5*v - 116 = 0. Calculate the remainder when 172 is divided by v.
27
Let g = -31365 + 31379. What is the remainder when 3511 is divided by g?
11
Let q(l) = 132*l + 16. Calculate the remainder when 316 is divided by q(0).
12
Let r = -6273 - -7254. Calculate the remainder when r is divided by 96.
21
Let t(i) = 70*i - 13. Let z be t(2). Suppose 0 = 2*u - 191 - z. What is the remainder when u is divided by 27?
24
Let g = -374 + 1294. Suppose u = -3*l + g, -2*l + 6*l = -4*u + 1224. What is the remainder when l is divided by 44?
43
Suppose 253 = 7*d - 1189. Let x = -183 + d. What is the remainder when 108 is divided by x?
16
Let m(j) = 41 - 4*j - 2 - 6. Let i be m(8). Suppose 0 = -4*f + 17 - i. What is the remainder when 5 is divided by f?
1
What is the remainder when 386 is divided by (-37 - -159) + -2 + 1?
23
Suppose 3*h + m = 340, 2*m - 335 = h - 4*h. Calculate the remainder when (19340/h)/2 - (-14)/(-161) is divided by 29.
26
What is the remainder when -6 - (434 - 613)*(3 + 1 + 1) is divided by 27?
25
Let j(p) be the third derivative of -7*p**4/12 + 15*p**3/2 + p**2 + 4. Calculate the remainder when 12 is divided by j(3).
0
Let w be 112/2 + (-4 - -7). Suppose -w*u = -55*u. Suppose 3*z - 28 + 22 = u. Calculate the remainder when 3 is divided by z.
1
Suppose -5*k - 4*t + 751 = 0, -9*k - 340 = -11*k + 5*t. What is the remainder when k is divided by 39?
38
Let t = -55 - -80. Suppose 21*a - 26*a + t = 0. Suppose 3*v - 77 = -4*d, a*v + 73 - 240 = 3*d. Calculate the remainder when 88 is divided by v.
26
Let v be ((-12)/(-10))/((-36)/90). Let k(s) = 5*s**2 + 8*s - 12. What is the remainder when 15 is divided by k(v)?
6
Suppose -37*m + 12*m + 28*m = 186. What is the remainder when m is divided by (-3 + 9)/(6/8)?
6
Let x(d) = 9*d**2 + 408*d - 376*d + 5 + 3*d**2 + d**3. What is the remainder when 38 is divided by x(-8)?
3
Let h be (-23)/(483/(-70))*39. Suppose -h = -31*z + 18*z. Suppose -316 = 3*g - 7*g. What is the remainder when g is divided by z?
9
Let p be (-1 + 3)*(-2)/(-2). Suppose k - 7 = -p. Let a(o) = -o + 15. Calculate the remainder when a(-14) is divided by k.
4
Let o(p) = p**3