a - 76 = -58. Let k be -7*-3*8/84. Suppose -l = a*l, -5*l = -k*h + 20. What is the remainder when h is divided by 5?
0
Let b(o) = o**2 + 38. What is the remainder when b(9) is divided by 37?
8
Suppose 8*q = 3*q + 15. Suppose q*n + 0 = 18. What is the remainder when (-4 - -7) + -4 + 11 is divided by n?
4
Suppose -4*t - 50 = -30. Calculate the remainder when 88 is divided by (5/t)/(1/(-18)).
16
What is the remainder when 5912 is divided by (2448/162 - 15)*1521?
166
Suppose 0*d - 96 = -3*l + 4*d, 2*l - 4*d = 68. What is the remainder when 809 is divided by l?
25
Let z = 1422 + -1196. What is the remainder when z is divided by 116?
110
Suppose 2*x = 5*x - q - 121, -5*x = q - 191. Let u = x + -28. Suppose -8*w + 25*w - 551 = 367. Calculate the remainder when w is divided by u.
10
Let t = -73 + 137. Suppose 5*w - 45 = -0*w. Let x = 25 + w. Calculate the remainder when t is divided by x.
30
Suppose -21*c - 9*c + 8478 + 2862 = 0. Calculate the remainder when c is divided by 75.
3
Let v = 49 - -986. Suppose -1047 = -a - v. Let m(f) = 7*f**2 - 4. Calculate the remainder when m(3) is divided by a.
11
Suppose -1024*z + 4*v - 171 = -1025*z, 5*z + v = 798. Calculate the remainder when 926 is divided by z.
131
Suppose -9*i + 8*i = -5. Let r = 202 + -199. Suppose 0 = -i*p - 0*u + 3*u + 149, -r*p + u = -91. Calculate the remainder when p is divided by 8.
7
Suppose 398*u - 182*u - 2160 = 0. What is the remainder when 976 is divided by u?
6
Let v be 883/(-1)*(-3 + -6 - -8). Suppose -21*n = -v + 295. What is the remainder when n is divided by 8?
4
Let j = 564 - -1249. Calculate the remainder when j is divided by 362.
3
Suppose 0 = 2*d - 24 + 18. Let k be 19/((-2)/(d - -1)). Let z = 41 - k. What is the remainder when z is divided by 16?
15
Let b be 100*(-2 + 36/15). Suppose 0 = -30*p + 32*p - b. Calculate the remainder when p is divided by 6.
2
Calculate the remainder when 433 is divided by 56/(-21) + 5359/69.
58
Let m(n) = -n - 28. Let b be m(-19). Let r(z) = -14*z + 4. Calculate the remainder when r(b) is divided by 33.
31
Suppose c - 6*c + 80 = 0. Suppose 9*s - 10*s + c = 0. Suppose -2*r - 5*r + 189 = 0. What is the remainder when r is divided by s?
11
Let r(c) = c**3 - 9*c**2 + 17*c + 2. Let l be r(8). Let b = 75 - l. Suppose -3*w - 2*x = x, 5*w - 3*x = 24. What is the remainder when w is divided by b?
0
Let f(u) = -21*u + 399. What is the remainder when 1585 is divided by f(4)?
10
Let u = 3082 - 2883. Calculate the remainder when u is divided by 5.
4
Suppose -6*z + 3*v = -10*z + 278, 276 = 4*z + 4*v. Suppose -5*g = s - 1414, 7*g = 3*g + s + 1124. What is the remainder when g is divided by z?
69
Let c(z) = 100*z**2 + 2*z + 3. What is the remainder when c(-1) is divided by 14?
3
Suppose 207 = v + 185. Suppose -3*u + 61 = -101. What is the remainder when u is divided by v?
10
Let u = 39 + -37. Suppose -u*n + 98 = 2*s, 2*s = -3*n + 77 + 26. Calculate the remainder when s is divided by 40/2*276/230.
20
Let f be (-2)/21 - (-41371)/231. Suppose -1151 = -7*h + f. What is the remainder when h is divided by 45?
10
Let t(x) be the first derivative of 5*x**3/3 + 69*x**2/2 + 17*x + 81. Calculate the remainder when t(-14) is divided by 17.
14
Let y = -3 + 6. Let g(a) be the first derivative of a**4/4 + a**3/3 - 7*a**2/2 + 8*a - 1138. Calculate the remainder when 88 is divided by g(y).
19
Let a be (-21)/(-4)*112/3. Suppose -l = j - 196, j - 12*l = -8*l + a. What is the remainder when j is divided by 50?
46
Let d(k) be the first derivative of -163*k**2/2 - 37*k + 223. Calculate the remainder when d(-1) is divided by 33.
27
Suppose -3*h - h + 572 = 0. Suppose 0 = 2*i - 2, -2*c - 10 = i - 53. Calculate the remainder when h is divided by c + (-6 - (-9)/3).
17
Let d = 4486 + -4207. What is the remainder when 941 is divided by d?
104
Let l(m) = -m**3 + 35*m**2 - 249*m + 127. What is the remainder when l(12) is divided by 258?
193
What is the remainder when 63*(1275/(-105) + 13) is divided by 27?
0
Let w(h) = h**3 - 4*h**2 + 24*h - 111. Calculate the remainder when w(15) is divided by 25.
24
Suppose 6*c - 42 = 0, 130*c = 2*b + 129*c - 311. Calculate the remainder when 1227 is divided by b.
114
Let u(f) = f**2 + 18*f + 36. Let o be u(-11). Let n = 41 - -15. Let h = n + o. Calculate the remainder when 38 is divided by h.
8
Suppose 93 = -5*a + 108, -549 = -n + 4*a. Calculate the remainder when n is divided by 91.
15
Let x(c) = -105*c + 2674. What is the remainder when x(25) is divided by 47?
2
Suppose 6*k + 5*p + 1724 = 2*k, -k - 442 = 4*p. Let h = k + -296. Calculate the remainder when h/(-10) - 5/25 is divided by 19.
15
Calculate the remainder when ((-91)/(-26))/(1/16) is divided by (-21)/(-9)*(-405)/(-126)*(-32)/(-20).
8
Suppose 36 = -18*a + 27*a. Let g = -126 + 75. What is the remainder when 39 is divided by (-425)/g + a/(-3)?
4
Calculate the remainder when 643 is divided by (35 + 145)*(-2 - 3/(-2))*-1.
13
Calculate the remainder when 15589 is divided by (32/(-24))/((-122)/15 + 8).
9
Let k = 132 + -111. What is the remainder when -3 + (k/14)/(3/92) is divided by 13?
4
Let c(i) = 6*i + 3. Let y be c(-5). Let r = 44 + y. Suppose 225 = 3*g + 2*v + 34, -2*g + 2*v + 134 = 0. What is the remainder when g is divided by r?
14
Let r(k) = 10*k**3 - 33*k**2 + 7*k + 101. What is the remainder when r(7) is divided by 110?
93
Let k be (-2098)/(-5) - 10/(-25). Suppose 0 = -t + 3*a + k, 5*t - 2100 = -0*t + a. Suppose 2*j - t = -4*j. Calculate the remainder when j is divided by 18.
16
Suppose 30 = 4*k - 6. Suppose -k = 3*d, 4*w - 337 = 5*d - 2*d. Calculate the remainder when w is divided by 21.
19
Let w(u) = u**3 - 50*u**2 + 42*u - 247. Calculate the remainder when w(50) is divided by 206.
205
Let r(i) = 50*i**2 - 123*i - 1265. What is the remainder when r(-10) is divided by 20?
5
Suppose -12*p + 7*p + 244 = 2*q, -q + p = -136. Suppose 9 = 2*o - o. Calculate the remainder when o is divided by 20/6 + (-176)/q.
1
Let a be 0 - (2/(-1) + -2). Suppose -3 = 2*n - a*t - 19, -3*n + 22 = -4*t. Calculate the remainder when 39 is divided by (0 + n - 9) + 1 + 23.
18
Calculate the remainder when 281 is divided by 68 + 4/(-44) + 8 + 763/(-77).
17
Suppose -33*o + 52 = -30*o + r, 0 = 2*o - 5*r - 29. Calculate the remainder when 389 is divided by o.
15
Suppose -49*l + 16547 = 27*l - 325. Calculate the remainder when l is divided by 69.
15
Let u(j) = j**3 + 7*j**2 - j + 10. Suppose -68 = c - 25. Let k = 36 + c. Calculate the remainder when 31 is divided by u(k).
14
Suppose -y = 3*y - 104. Let a be (-2 - 5 - -9)*(-61)/(-2). Suppose 3*w - 4*i = -26 + 229, -a = -w + 3*i. Calculate the remainder when w is divided by y.
21
Suppose 69*t = 54*t - 8550. Let z = 454 - t. What is the remainder when z is divided by 19?
17
Let n(h) = h**3 + 17*h**2 + 20. Let i be -1 + (-4 - 12) - 0. Calculate the remainder when ((-6)/(-1 - 1))/(107/2033) is divided by n(i).
17
Let a be (-4)/(-3) + -2 - (-145)/15. Suppose 3*g + 14*i - a*i = 223, -65 = -g - 4*i. Calculate the remainder when g is divided by 43.
38
Suppose -58*g + 25111 + 15837 = 0. What is the remainder when g is divided by 23?
16
Let z = -3951 + 3976. Calculate the remainder when 1022 is divided by z.
22
Calculate the remainder when (39 - 14)/50 - (-5526)/4 is divided by 1376.
6
Let p(v) be the first derivative of v**4/4 - 2*v**3/3 - 35*v**2/2 + 31*v + 97. Let z(r) = 3*r - 6. Calculate the remainder when p(7) is divided by z(6).
7
Let m(i) = 320*i**2 + 77*i - 121. Calculate the remainder when m(2) is divided by 25.
13
Let i(r) = 2*r - 2. Let c be i(0). Suppose -4*d + 12 = -28. Calculate the remainder when (-1 + (-68)/8)*c is divided by d.
9
Let n(b) = -3*b - 278. Let o(h) = 2*h + 93. Let a(x) = 3*n(x) + 8*o(x). Calculate the remainder when a(14) is divided by 1.
0
Suppose 946*z - 945 = 931*z. What is the remainder when z is divided by 24?
15
Let b(o) = 3*o**2 + 3*o. What is the remainder when (3 - 8)*1 + (129 - 34) + 53 is divided by b(-4)?
35
Let h(n) = 3*n + 634. What is the remainder when h(-62) is divided by 75?
73
Let v be 0 - (-9 + 6) - -361. Suppose 0 = -5*m + 19*m - v. What is the remainder when 311 is divided by m?
25
Let l = -20 + 38. Let m(b) be the third derivative of b**5/60 - 5*b**4/24 - 35*b**3/6 + 30*b**2. What is the remainder when m(13) is divided by l?
1