 is divided by b.
6
Suppose -5*c + 113 = 88. Suppose -2*a - u + 12 = 0, 4*a + 3*u = 21 + c. Calculate the remainder when 103 is divided by a.
3
Suppose 149*r = 151*r - 16. Suppose -4*b - 231 = -5*h - 0*b, -3*h - b = -142. What is the remainder when h is divided by r?
7
Let w = 0 + 4. Let z be (-6603)/15 + 4/20. Let x = 458 + z. Calculate the remainder when x is divided by w.
2
Let k = -264 + 309. Calculate the remainder when 4 + k/(-12) + (-1233)/(-12) is divided by 29.
16
Let n = 24 + -5. Suppose -8*x + 55 = 5*b - 3*x, -4*b + x = -n. Calculate the remainder when 192 is divided by (13/(-2))/((-1)/b).
36
Suppose -17*a + 10362 = -13*a + 2*s, 12935 = 5*a - s. Calculate the remainder when a is divided by 198.
14
Suppose 617*t = 596*t + 43575. What is the remainder when t is divided by 1024?
27
Suppose -4*i + 717 + 74 = k, 2*i = 3*k + 399. Calculate the remainder when i is divided by 37.
13
Let g(r) = -3*r - 37. Let k be g(-11). Calculate the remainder when 163*1/4 + 3/k is divided by 22.
18
Let q = 756 + -535. Suppose 1 = -p + 10. Suppose -7*k - 74 = -p*k. Calculate the remainder when q is divided by k.
36
Let z = 11857 + -11540. What is the remainder when 653 is divided by z?
19
Suppose 0 = -4*h + 8, 2*k + 2*h - 371 = 27. What is the remainder when k is divided by 23?
13
Let s = -24136 + 24159. What is the remainder when 133 is divided by s?
18
Let o(g) = 36*g + 25. Let y(k) = -2*k + 1. Let x(h) = o(h) - 6*y(h). Calculate the remainder when x(5) is divided by 29.
27
Suppose -4*m + 50 + 6 = 0. Suppose -4 = -15*h + m*h. Calculate the remainder when 18 is divided by h.
2
Suppose -t + 8655 = -2*h + 1285, 3*h + 14735 = 2*t. What is the remainder when t is divided by 263?
259
Suppose 4134 = 87*g - 9*g. Let n(f) = f + 1110. What is the remainder when n(0) is divided by g?
50
Let x be (-6)/5*(-630)/28. Suppose 27 = 3*v - x. Suppose -7 - 43 = -5*m. What is the remainder when v is divided by m?
8
Let u(j) = j**3 + 3*j**2 - 6*j - 3. Let z(t) = 6 - 11 + t**2 + 4*t + 8. What is the remainder when z(-6) is divided by u(-4)?
0
Suppose 195 = -3*w + 8*w. Calculate the remainder when 2440/(-16)*54/(-45) - 1 is divided by w.
26
Suppose 4*g + 79314 = 2*b, -2*g + 80045 = 4*b - 78613. What is the remainder when b is divided by 296?
295
Suppose 2828 - 20 = -g + 73*g. What is the remainder when 1785 is divided by g?
30
Let l be ((-32)/10)/(-5 - (-2365)/475). Suppose 0 = -22*p + 14*p + l. Calculate the remainder when 109 is divided by p.
14
Suppose 3*p - 2054 = -7*k + 2*k, -k + 424 = 5*p. Calculate the remainder when k is divided by 47.
33
Calculate the remainder when 7*(-43 + 3)/(-5)*(-815)/(-140) is divided by 35.
11
Suppose 77*l + 4307 = 199*l - 63*l. What is the remainder when 7366 is divided by l?
66
What is the remainder when 1225 is divided by (-10784)/(-98) + 224/(-5488)?
15
Let h = -2334 - -2426. What is the remainder when 379 is divided by h?
11
Suppose -b + 2*i + 10 + 3 = 0, 2*i + 49 = 5*b. Suppose 3*t = -0*t + 9, 0 = 4*l - t - 77. Calculate the remainder when l is divided by b.
2
Let r be ((-150)/10)/((-6)/4*1). Calculate the remainder when (1287/55)/(2/r) is divided by 32.
21
Let b(k) = 2*k**2 - 9*k - 33. Let w be b(-4). Suppose 2*h - 29 = -4*z + 9, -w = -3*h + 5*z. What is the remainder when 71 is divided by h?
11
Let i = -3 + 7. Suppose i*t - 6*t = -64. Suppose -2067*f + 136 = -2059*f. What is the remainder when t is divided by f?
15
Let a be (-5)/2*1*(-112)/35. Suppose -a*m + 23*m = 1065. What is the remainder when m is divided by 24?
23
Calculate the remainder when 136/16*(3 + 71 - -4) is divided by 19.
17
Suppose 4*q - 65 = z - 6*z, 5*q - 26 = -3*z. Calculate the remainder when (-2 - -67) + 0 + -2 is divided by (5 + z)/(4 + -2).
8
Suppose 10 = -5*w - 5*b, 0 = -5*w + 3*w + 2*b + 16. Suppose -2*g = -5*p + 94, 0 = -p - 4*p + w*g + 96. What is the remainder when p is divided by 10?
8
Let j(l) = 5*l**3 - l - 19. What is the remainder when 410 is divided by j(3)?
71
Let a(f) = 13*f - 3 + 20 + 1 + 331*f**2 - 330*f**2. Suppose -3*t + 13 + 62 = 2*m, -4*t - m + 100 = 0. What is the remainder when t is divided by a(-12)?
1
Suppose 13*s = -3*s + 352. Suppose 5*r + 5*q = -10, q + 3 = 2*r - 2. What is the remainder when (r*86)/(12 + -10) is divided by s?
21
Suppose 2*i + 15 = 3*i. Suppose -b - 3*b = -3*v + i, 2*b + 10 = 2*v. What is the remainder when (-10)/(-16 - (-300)/20) is divided by v?
0
Let c(i) be the third derivative of i**4/12 + 7*i**3/6 - 19*i**2. Let h(a) = -a. Let u(s) = c(s) + 6*h(s). What is the remainder when 89 is divided by u(-4)?
20
Suppose 9*s - 8*s - 351 = -3*h, -4*s + 1459 = h. Let w = -340 + s. Calculate the remainder when 50 is divided by w.
24
Let p = -22785 - -22815. Calculate the remainder when 1656 is divided by p.
6
Suppose -f + 5*s = 2*f + 662, 3*s - 443 = 2*f. Let w = f - -256. What is the remainder when 76 is divided by w?
22
Let s be (-1 - -1)/(3 - 2). Suppose f - q - 28 = s, -3*q = -4*f - 4*q + 97. What is the remainder when 118 is divided by f?
18
Suppose 34*c = 35*c + 5*u - 128, 3*u = c - 168. Calculate the remainder when 460 is divided by c.
1
Let c(s) = -s**2 + 12*s - 11. Let l(n) = 6*n + 3. Let f be l(1). Let z be c(f). Let a = 37 - z. What is the remainder when 59 is divided by a?
17
Suppose -5*h = -2*k + 100, 7*h - k = 2*h - 95. Suppose -5*f + 142 + 208 = 0. Let n = h + f. What is the remainder when n is divided by 9?
7
Let z(o) = o**3 + 13*o**2 - o + 9. Let h be z(-13). Let c = 164 - h. What is the remainder when c is divided by 49?
44
Let k(i) = 3*i**2 - 9 + 1 + 36*i - 59*i. Let g be k(8). Suppose -t = -5*w - 29, g*w - 175 = -5*t - 5*w. What is the remainder when 131 is divided by t?
29
Suppose 4*f = 5*m - 6*m + 1061, -3*m + 807 = 3*f. Suppose -2*u - f = -10*u. Calculate the remainder when 64 is divided by u.
31
What is the remainder when (157 - 18)/(1/10) is divided by 29?
27
Let p(j) = j**3 - 78*j**2 + 587*j - 7. What is the remainder when p(8) is divided by 18?
11
Suppose -h - 6*n + n + 183 = 0, h = n + 201. Let l = 4598 - 4595. Calculate the remainder when h is divided by l.
0
Suppose 29*j + 5*q - 2266 = 26*j, -3*j + 2343 = -6*q. Calculate the remainder when j is divided by 37.
27
Suppose 18*b = -5*a + 788, 5*b = -17 + 22. Calculate the remainder when 632 is divided by a.
16
Let d(q) = q**2 + 3*q + 2. Let r be d(-1). Let f be 37 + -34 - (-2 + r)*7. Let o(x) = x**2 - 19*x + 38. What is the remainder when 8 is divided by o(f)?
0
Suppose 0 = 6*z - 923 + 275. Calculate the remainder when z is divided by (55/33)/5*(0 + 30).
8
Suppose -9 + 39 = 2*k. What is the remainder when (-9)/(-6)*-1*15072/(-144) is divided by k?
7
Let s(f) = -f - 3. Let b(w) = -20*w + 28. Let j(k) = -b(k) - 6*s(k). What is the remainder when 124 is divided by j(1)?
12
Let b = 308 - 314. Let i(n) = -7*n - 8. Let c(s) = 63*s**2 - 2*s - 1. What is the remainder when c(-1) is divided by i(b)?
30
Suppose -319*h - 1131 = -322*h. Let l = h - 328. What is the remainder when l is divided by 19?
11
Suppose 19*l - 706 = -649. Calculate the remainder when 3 is divided by l.
0
Suppose 31639 + 47516 = 9*y. Suppose -42*j + y = -1159. What is the remainder when j is divided by 24?
21
Suppose 0 = -4*q - 43*q + 187812. Suppose -7*v - 11*v = -q. Calculate the remainder when v is divided by 68.
18
Suppose -23 - 225 = -8*r. Calculate the remainder when 485 is divided by r.
20
Suppose -352 = 2*t - 5*u - 483, 0 = t - 3*u - 64. What is the remainder when 4815 is divided by t?
70
Let s(w) = w**3 + 20*w**2 + 33*w + 44. Let l(v) = 2*v**3 + 41*v**2 + 64*v + 86. Let k(d) = -4*l(d) + 7*s(d). What is the remainder when 19 is divided by k(-23)?
9
Let a = 68017 - 40733. Calculate the remainder when a is divided by 13.
10
Let l = 18871 - 18832. Calculate the remainder when 284 is divided by l.
11
Let l be 10952/(-20) + 9/(135/(-6)). Let o = l - -572. Suppose 4*p - p = 351. What is the remainder when p is divided by o?
21
Let j(t) = 4*t**2 - 5*t - 3 - 2 - 2. What is the remainder when j(-5) is divided by (1 + 12/(-9))*(-61)/((-1464)/(-2880))?
38
Let f be (0 + -48)/(6/(-3)). Suppose f = -a + 28. What is the remainder when 5 is divided by a?
1
Let u = 2364 - 1933. What is the remainder when u is divided by 14?
11
Suppose 3762 - 1352 = 10*x. Suppose 8*c = 7*c - 5*d + x, -c + 236 = 4*d. 