 217 is divided by b.
41
Let u(v) = 3138*v**3 + 5*v**2 + 6*v - 11. What is the remainder when u(1) is divided by 314?
312
Calculate the remainder when (3/(-5) - 308/70) + 2211/11 is divided by 88.
20
Let j be (21 - 4)*(-2)/(-2). Suppose 2*q = j*q - 600. Let n = 14 + -3. What is the remainder when q is divided by n?
7
Let x(p) = -2 - 7 + 29 - 6*p + 26. What is the remainder when x(-6) is divided by 49?
33
What is the remainder when 6180/75 - 24/(-40) is divided by 67?
16
Calculate the remainder when ((-9111)/(-52) + (-72)/156)*4*1 is divided by 50.
49
Suppose 0 = -0*b + 3*b - 6. What is the remainder when ((86*(-9)/12)/3)/((-291)/582) is divided by b?
1
Suppose -120*t + 9264 - 7275 = -8671 - 14300. What is the remainder when t is divided by (-21)/(-2)*4/1?
40
Let g(i) = 157*i + 3165. What is the remainder when g(-16) is divided by 176?
125
Suppose 3*t + 3*x = 171, 597 - 605 = x. What is the remainder when t is divided by 3?
2
Suppose 4*m - 904 = 4*o - 148, 3*m = -5*o + 511. Calculate the remainder when 1256 is divided by m.
164
Suppose -l + 1038 = -4*m, 4*l - 163 = 2*m + 4059. Calculate the remainder when l is divided by 211.
3
Let i(d) = -6*d + 66. Let k be i(10). Calculate the remainder when 334/k + (-23)/(-69) is divided by 19.
18
Let b(t) = 2*t**2 + t - 16. Let u be b(-6). Suppose 48*g - u*g - 40 = 0. Let i(p) = -p - 6. What is the remainder when 55 is divided by i(g)?
13
Let d = 30708 - 30595. Calculate the remainder when 1351 is divided by d.
108
Let y = 4939 + -4750. Calculate the remainder when y is divided by 186.
3
Suppose h - 6*h + 8283 = 4*o, -4141 = -2*o - 3*h. Suppose -5*x - o = 9*x. Let c = x + 283. Calculate the remainder when c is divided by 23.
20
Suppose 55 = 4*c + 3*k, -38*c + 42*c - 3*k = 25. Suppose -f = -0*f - 35. Calculate the remainder when f is divided by c.
5
Let u(p) = 1 + 8*p + 6*p + 88*p**2 - 89*p**2 + 0. Let b = 16 + -9. Calculate the remainder when u(4) is divided by b.
6
Let n be -4 + (12/5)/(2/10). Let s(u) = n + 19 - 13 - u + 3. What is the remainder when 14 is divided by s(7)?
4
Suppose -n = -30*g + 34*g - 447, 3*n - 98 = -g. Calculate the remainder when 554 is divided by g.
102
Suppose 3*v - 295 = -5*x, 5*x - 4*v + 2 = 262. Let h(g) = -2*g - 16. Let s be h(-8). Suppose s = 4*i - 24 - 52. What is the remainder when x is divided by i?
18
Suppose -4*n = -4*j - 1724, -42*n + 4*j = -41*n - 416. Calculate the remainder when n is divided by 96.
52
Let g(f) = -2*f**2 + 44*f - 39. Suppose 0 = 9*x - 4*x - 135. Suppose 48 = 3*u + 3*o, u + u = 3*o + x. What is the remainder when u is divided by g(21)?
0
Let m(c) = 20500*c - 10252*c + 54*c**2 - 10254*c. Let n(s) = s - 3. Let w be n(4). Calculate the remainder when 140 is divided by m(w).
44
Suppose -3*u - 4*g = -0*g - 166, u - 2*g - 42 = 0. What is the remainder when u is divided by (945/126)/(15/54)?
23
Let h(a) = 902*a - 56. Let y be h(10). What is the remainder when ((-12)/10)/6 - y/(-45) is divided by 25?
24
Let z = 126 + -40. Suppose 0 = -p + 104*r - 101*r - 6, -3*r = 3*p - 114. What is the remainder when z is divided by p?
5
Suppose -25704 = -4*k - 25120. What is the remainder when 1722 is divided by k?
116
Let p = -19 - -147. Suppose 5*f + p = m, 0*f - f + 692 = 5*m. Suppose -m = 3*w - 6*w. What is the remainder when w is divided by 25?
21
Let s = -16848 + 16913. Calculate the remainder when 3507 is divided by s.
62
Suppose -5*g - 135 = -2*q, -g + 211 = 3*q - 0*q. Let b = q + -22. Calculate the remainder when (74/40 - (-1353)/9020) + 237 is divided by b.
47
Let z(w) = -394*w + 6904. Let k(o) = 2*o**3 + 4*o**2 - 4*o + 2. What is the remainder when z(17) is divided by k(2)?
24
Suppose j = 2*o + 2*j - 6, -2*j = -5*o + 24. Suppose -5*v + o*v + 5*y + 40 = 0, v - y - 24 = 0. Calculate the remainder when 49 is divided by v.
9
Let f = 17 - 6. Let h(g) = 2*g**3 - 9*g**2 + 12*g - 29. Suppose 6*t + 38 = 62. What is the remainder when f is divided by h(t)?
2
Let q(p) be the first derivative of -p**3/3 - 15*p**2/2 - 9*p + 41. What is the remainder when 17 is divided by q(-14)?
2
Let p(v) = 14*v**2 - v + 2. Let q = 42 + -20. Calculate the remainder when p(-3) is divided by q.
21
Let s be (5 + -7 + 6)/(1/22). Let z(x) = 2*x**2 + 2*x - 1. Let a be z(1). Suppose 7*p = a*p + s. What is the remainder when p is divided by 13?
9
Calculate the remainder when 697 is divided by (4 - (-850)/(-35))/(2 - 96/42).
58
Let j be 2*7/(-2) - -89. Suppose -2*k + j + 62 = 0. What is the remainder when k is divided by 15?
12
Suppose 108 = 5*p + 4*p. Let y = p - 9. Suppose 2*m = -5*k + 90, -m - 18 = -4*k + y*k. Calculate the remainder when k is divided by 5.
3
What is the remainder when (8805/(120/8))/(0 - -1) is divided by 27?
20
Let w = -5022 - -5953. What is the remainder when w is divided by 26?
21
Let u(r) be the third derivative of -r**5/30 + 7*r**4/3 + 38*r**3/3 - r**2 + 27*r. Calculate the remainder when u(26) is divided by 13.
11
Suppose 80*w = 371230 - 111150. Calculate the remainder when w is divided by 47.
8
Suppose 247 = 2*q - d, -5*d + 479 = 4*q - 2*d. What is the remainder when 991 is divided by q?
15
What is the remainder when 4569 is divided by (24/168 - 33/(-14))/(15/216)?
33
Suppose -185*j + 248484 = -20691. What is the remainder when j is divided by 7?
6
Let z(g) = -g**3 + 7*g**2 + 152*g - 1131. Calculate the remainder when 1115 is divided by z(8).
2
Let c be 36 + (-2 - (-4 - -1 - -3)). Let b = 37 - c. Suppose 5*y = 5, -349 = -5*q - b*y - y. Calculate the remainder when q is divided by 24.
21
Let a(s) = -7*s + 84. Let y be a(12). Suppose -16*n - 11 + 123 = y. What is the remainder when 31 is divided by n?
3
Let r(s) = -3*s + 3*s**3 - 3*s**2 + s**3 - 3*s**3 + 0*s**3. Let l be r(4). Suppose -80 + 8 = -l*b. Calculate the remainder when 71 is divided by b.
17
Suppose -10*h = -594 - 426. Let y be h/14 - 8/28. Let t(n) = n**3 - 7*n**2 + 4*n - 5. What is the remainder when 59 is divided by t(y)?
13
Let h(a) = -60*a**3 + 8*a**2 + 8*a - 1. Calculate the remainder when 137 is divided by h(-1).
19
Suppose 7*a = -23*a + 18539 + 27631. Calculate the remainder when a is divided by 51.
9
Let h be 1*116 + 160/32 + -5. Let y = h - 87. Calculate the remainder when 163 is divided by y.
18
Suppose 31920 = 3*l + 20*l + 15*l. Calculate the remainder when l is divided by 275.
15
Let v = -460 + 305. Let d = 228 + v. Suppose -5*r - 3*f = -d, 4*r - 20 = -4*f + 32. What is the remainder when 82 is divided by r?
14
Let u(c) = 2*c. Suppose 4*k - 2721 = -2817. What is the remainder when ((-21)/(-9))/((-4)/(-12)) - k is divided by u(5)?
1
Suppose 0 = -3*a - 15, -12 - 49 = -2*j - a. Let d(l) = -2*l**3 - 23*l**2 - 53*l - 50. What is the remainder when j is divided by d(-9)?
11
Suppose 0 = 993*m + 397*m - 51234 - 260126. Suppose 111 - 339 = -3*o. Calculate the remainder when m is divided by o.
72
Let u = -23 - -21. Let s be u/(-4) - (-36)/8. Suppose -2*r - 195 = -s*r. Calculate the remainder when r is divided by 33.
32
Let b = 276 - 284. Let s(m) = 0*m**2 + m**2 - 15 - 5. Calculate the remainder when s(b) is divided by 12.
8
Suppose 10 = 2*a - 52. Let n(x) be the second derivative of x**5/20 + 5*x**4/4 - 35*x**3/6 - 3*x**2 + 32*x. What is the remainder when a is divided by n(-17)?
9
Suppose 0 = -8*t + 13*t - 30. Suppose 11*h - t*h - 81 = 3*c, 3*c = h - 93. Let r = 55 + c. What is the remainder when 38 is divided by r?
15
Suppose 3*m - 52 = -7. Suppose -5776 = -m*x - x. What is the remainder when x is divided by 11?
9
Let j(b) = -3*b - 277. Calculate the remainder when j(-150) is divided by 164.
9
Let k(s) = 199*s + 7. Let o be k(-2). Let v = -613 - o. Let n = v + 334. Calculate the remainder when n is divided by 29.
25
Suppose 5 = 7*m - 9. Suppose -3*b - 4*g + 152 = -m*g, 0 = -4*g + 4. Calculate the remainder when b is divided by 28.
22
Suppose 16*d = 15*d + 22. Suppose -d*x = -58 - 426. What is the remainder when 101 is divided by x?
13
Suppose -8*o + 12*o - 232 = 4*x, x - 110 = -2*o. What is the remainder when 281 is divided by o?
1
Suppose -5*s - 20 = -5*f, -6*s = -2*f - 2*s + 16. Suppose -3*j + 5*l - 34 = -7*j, -4*j + 4*l + 16 = f. Calculate the remainder when 47 is divided by j.
5
Suppose 13356 = -842*n + 863*n. What is the remainder when n is divided by 22?
20
What is the remainder when 1/(-3) - (-214)/3