1. Suppose 5*s = 3*d + w, 3*d - 147 = -0*s - 3*s. Calculate the remainder when s is divided by 26.
23
Calculate the remainder when 1447 is divided by -5 + 167/3 + 12/(-18).
47
Let d(c) = -10*c**3 + 3*c**2 + 3*c + 5. Let t be d(-2). Let f = -85 + t. Calculate the remainder when 1 - (0 - (25 - -1)) is divided by f.
3
Let q(h) = 6*h**2 - 2. Let n be q(1). Suppose -n*v + 15 = -v, 5*s + 2*v - 60 = 0. What is the remainder when 12 is divided by s?
2
Let q be (24/(-14))/((-1)/7). Let i be ((-18)/q)/(3/(-4)). Suppose 7 = i*m - 17. What is the remainder when 47 is divided by m?
11
Suppose -2*c + 149 - 29 = -5*x, 0 = 4*c + 4*x - 240. Let f(d) = -d**3 - 2*d**2 - 2*d + 1. What is the remainder when c is divided by f(-3)?
12
Suppose 0 = 6*s - 3*s - 54. Let n = s - 8. What is the remainder when (2 + 0)/(-1) + 40 is divided by n?
8
Suppose -3*o = 5*w - 126, 0 = -2*w - 10*o + 7*o + 54. What is the remainder when 162 is divided by w?
18
Let y = -306 + 348. What is the remainder when 207 is divided by y?
39
Suppose -f = -7*f + 294. Suppose f = m - 155. Calculate the remainder when (-3)/(-12) + m/16 is divided by 3.
1
Let a = -521 - -1115. What is the remainder when (-6)/24 - 1/((-8)/a) is divided by 26?
22
Let z = 3931 + -2396. Calculate the remainder when z is divided by 96.
95
Let d = -323 - -378. What is the remainder when 274 is divided by d?
54
Suppose -3*s = 3*c - 63, 2*s + 7 = -c + 31. Let d = -89 - -103. Let a(l) = l**3 - 13*l**2 - 11*l + 28. Calculate the remainder when a(d) is divided by c.
16
Let f = -120 + 101. Let x = f - -25. What is the remainder when 11 is divided by x?
5
Suppose 736 = -135*a + 1568 + 4973. Let s(z) = -6*z - 9. Calculate the remainder when a is divided by s(-6).
16
Suppose -9*f + 94 + 446 = 0. Calculate the remainder when f is divided by 55.
5
Suppose -141 = -4*h + 51. Suppose 2*j - 43 = 5*t + 10, -4*t - h = -3*j. What is the remainder when (12/t)/4*-18 is divided by 3?
0
Let n(h) = -5*h + 10. Let o be n(2). Suppose o = -8*z + 106 + 54. Calculate the remainder when 58 is divided by z.
18
Suppose -28 = -a + 2*a. Let d be 7/a - 2/(-8). Suppose 4*g - 3*i - 72 = 0, d*i - 72 = -4*g - 4*i. What is the remainder when g is divided by 7?
4
Suppose 0 = y + 3*u - 12, -4*u + 2*u - 14 = -3*y. Calculate the remainder when 70 is divided by 484/24 - 1/y.
10
Suppose j + 0*t = -t + 91, 0 = 2*j - t - 194. Let v = j - 91. Calculate the remainder when v is divided by 4.
0
Let h be (14 + -12)/(-2 + 24/10). Suppose -h*o = o - 96. Calculate the remainder when 29 is divided by o.
13
Let c = -236 - -352. Calculate the remainder when c is divided by 13.
12
Let y be 1/4 - 33/(-12). Suppose y*j - 6 = 4*j. Let r(h) = -h**2 - 12*h + 10. Calculate the remainder when r(j) is divided by 12.
10
Suppose -14 = 14*x - 15*x. Suppose 3*v - 16 = -4*s, 2*v + 5*s - 3 - 17 = 0. Suppose 0 = g - v*g - 27. What is the remainder when g is divided by x?
13
Let v be 1359/(-24) + (-36)/96. Let a = v - -92. Suppose -45 = -0*d - 5*d. Calculate the remainder when a is divided by d.
8
Let j = -579 - -447. Let b be 40*(3/2)/(-3). What is the remainder when 49 is divided by j/(-10) - (-4)/b?
10
Let d(r) = 2*r - 2*r + 2*r**3 + 19*r**3. Suppose -52 + 12 = -5*c. What is the remainder when d(1) is divided by c?
5
Suppose -y - 17 + 49 = 0. Let b(o) = o + 11. What is the remainder when y is divided by b(6)?
15
Let d(x) = -59*x**3 + x**2 + 5*x + 10. Let o(q) = 118*q**3 - 2*q**2 - 10*q - 19. Let t(n) = -11*d(n) - 6*o(n). What is the remainder when t(-1) is divided by 8?
3
Let q(o) = -o**3 + o**2 + 5*o + 19. What is the remainder when 195 is divided by q(-3)?
35
Let r(f) be the first derivative of -f**4/4 - 4*f**3/3 + 9*f**2/2 + 7*f + 12. What is the remainder when 97 is divided by r(-6)?
22
Let w(p) = 4*p**2 + 6*p - 1. What is the remainder when 44 is divided by w(-3)?
10
Let v = 79 + -26. Calculate the remainder when 210 is divided by v.
51
Suppose 7*v - 6*v = -2. Let r = 8 + v. Suppose 2*w - p + r*p = 30, 5*w + 3*p - 75 = 0. What is the remainder when 41 is divided by w?
11
Let q be (-1928)/(-12) + (-3)/(-9). Suppose 0 = -4*x + q - 41. Calculate the remainder when 177 is divided by x.
27
Let b = 0 - -3. Suppose -b*v + 208 = v. Let w = 978 - 964. Calculate the remainder when v is divided by w.
10
Suppose 2*l = 3*d - 6, -6*l = -3*l + 9. Suppose d = -4*n + 20, v + n - 20 = -2*v. Calculate the remainder when 14 is divided by v.
4
Suppose -5*j = -2*a - 19, 0*a = -4*a - 8. Let p be (j/(-2))/(21/(-224)). Suppose p = t - 4. What is the remainder when 37 is divided by t?
17
Let i = 682 + -594. What is the remainder when i is divided by 47?
41
Let g = -5 + 35. Let p(s) = s**2 + 8*s - 33. Let f be p(-8). Let r = 152 + f. Calculate the remainder when r is divided by g.
29
Let y(a) = 4*a**2 - 100*a + 13. What is the remainder when (-36)/(-21)*(-2 - -16) is divided by y(25)?
11
Let y be ((-22)/(-56) + (-1)/7)*28. Calculate the remainder when 22/(((-7)/(-2))/y) is divided by 1/1 - (0 + -15).
12
Let d(o) = 3*o**2 + 10*o - 6. Suppose -5*r = -r - 84. Suppose -15 - 13 = 4*b + 2*h, 4*h = 3*b + r. What is the remainder when d(b) is divided by 18?
17
Suppose k + 2*x - 458 = 0, 2*k - 461 = 4*x + 431. What is the remainder when k is divided by 8?
4
Let w = 23 - 23. Suppose -2*j - 19 = -q, w = -5*q - 0*j + 2*j + 71. Let s = -42 + 80. What is the remainder when s is divided by q?
12
Suppose 3*p = 15*p - 240. What is the remainder when p is divided by 11?
9
Suppose 3*a + 27 = -3*l, -25 = 3*l + a + 4*a. Let p(z) = z**3 + 11*z**2 + 7*z + 13. What is the remainder when p(l) is divided by 15?
13
Let l = 26 + -21. Suppose -4*k + 3*v + 253 = 37, 3*k = 3*v + 159. Calculate the remainder when k is divided by l.
2
Let d(f) = f**2 - f - 4. Let h be 2/(-14) - (-345)/(-35). Let v = h - -16. Calculate the remainder when d(v) is divided by 7.
5
Suppose -c - 4*s + 120 = 0, 17 - 8 = -3*s. Calculate the remainder when c is divided by 23.
17
Let i(v) = v**3 - 46*v**2 - 47*v + 36. Calculate the remainder when 261 is divided by i(47).
9
Let k be (-42)/(-8)*(-12)/3. Let n = -18 - k. Calculate the remainder when 10 is divided by n.
1
Let m(r) = 11*r + 34. What is the remainder when 113 is divided by m(3)?
46
Suppose 101*u - 82 = 99*u. Calculate the remainder when u is divided by (-110)/(-8) + 2/8.
13
What is the remainder when 27 is divided by 3 + ((-4)/5)/((-10)/25)?
2
Let s be 2/(-6) - (-28)/12. Let v be (-4)/s - -12 - 3. Calculate the remainder when 884/v - 6/21 is divided by 43.
40
Let u be (2/3)/(5/(-15)). Let b = u + 9. What is the remainder when 28 - (-3)/(-3*(-3)/(-9)) is divided by b?
4
Let f = 214 - -64. Suppose 0 = -3*i + 5*i - f. Calculate the remainder when i is divided by 13.
9
Let k(b) = -b**3 + 4*b**2 + 4*b - 1. Let t = 233 + -225. Calculate the remainder when k(4) is divided by t.
7
Let u be (-91)/(-5) + 1/(-5). Let g = u - 9. What is the remainder when (-260)/(-8) + 2/4 is divided by g?
6
Suppose -i - 68 = -4*u, -4*u + 3*i + 60 = -u. Let q = 200 + -140. What is the remainder when q is divided by u?
12
Let p(i) = -i**2 + 3*i + 12. Let t be p(5). Suppose 10 + 22 = t*d. What is the remainder when 29 is divided by d?
13
Suppose 0 = q - v - 14, 3*q = -6*v + 2*v + 28. Let w = q + -2. What is the remainder when w/5 + 15 + 0 is divided by 9?
8
Let d be (-9)/(-12) + (-10)/(-8). Suppose -4*k - d*p - p = -6, -k - 3*p + 6 = 0. Let q(r) = r**2 - r + 11. What is the remainder when q(k) is divided by 4?
3
Let c = -18 + -2. Suppose -54 = -4*v - 3*t, -2*t + 66 = 4*v - 5*t. What is the remainder when v is divided by (-188)/(-20) + 8/c?
6
Suppose -145 = -3*u - 2*u - 5*r, 0 = -r - 5. Let f be (-17)/7 + -3 + 4/(-7). What is the remainder when u is divided by ((-10)/(-40))/(f/16)*-27?
16
Suppose t + t - 2*q + 42 = 0, -5*t + 3*q - 95 = 0. What is the remainder when 73 is divided by (38/(-8))/(4/t)?
16
Suppose -5*a - 4*u + 66 = -40, 3*a + 4*u - 70 = 0. Calculate the remainder when 376 is divided by a.
16
Let a(w) = -w**3 - 7*w**2 - 5*w + 16. Suppose 227 = 4*p - 41. What is the remainder when p is divided by a(-6)?
7
Let h = 129 - 106. Let j(p) = 11*p**2 + 2*p - 1. What is the remainder when h is divided by j(1)?
11
Let o(s) = 3*s - 61. What is the remainder when o(36) is divided by 16?
15
Let i = 4 + -2. Let z = -893 + 903. Suppose 0 = -l 