remainder when p(21) is divided by b?
3
Let w = -9296 + 9425. Calculate the remainder when 2317 is divided by w.
124
Let w(q) be the third derivative of 0 + 0*q + 1/6*q**4 - 7*q**2 - 13/6*q**3. Calculate the remainder when 89 is divided by w(9).
20
Let f(q) = 17*q**2 - 4*q - 3. Suppose 0*p + 10 = -10*p. What is the remainder when 177 is divided by f(p)?
15
Let g = 5120 + -4770. What is the remainder when 358 is divided by g?
8
Let b = 12493 + -8930. Calculate the remainder when b is divided by 198.
197
Let f = 175 - 53. Suppose -120*d = -f*d + 14. Calculate the remainder when 69 is divided by d.
6
Let w(j) = j**3 - 3*j**2 + 6*j + 1. Calculate the remainder when (0 + -3)/(-1)*21 - 2 is divided by w(2).
7
Let o(k) = 105*k + 667. Suppose 0 = 2*n - 26 + 154. Let h = 81 - n. What is the remainder when h is divided by o(-6)?
34
Suppose 4*p - 3*d - 11231 = 0, 4061 = p + 4*d + 1277. What is the remainder when p is divided by 18?
14
Let z = -261 - -280. Let l = 190 + z. Calculate the remainder when l is divided by 10.
9
Let m be (-47)/(-2) - 3/(-6). Let u = 26 - m. Suppose 2*i + 5 = z, 23 = 2*z + u*z - 5*i. What is the remainder when 24 is divided by z?
3
Let j = -289 - -385. What is the remainder when j is divided by ((-65)/(-10))/(-13)*2 + 13?
0
Let i = 9465 + -9440. Calculate the remainder when 26973 is divided by i.
23
Let o(a) = 6*a - 282. Suppose 3*r - 2*m = -4, 4*r + 5*m + 4 - 37 = 0. Let w(b) = 22*b**2 - 3*b. What is the remainder when w(r) is divided by o(49)?
10
Suppose 0 = 3*k - 15, 5*k - 781 = -5*v - 226. Calculate the remainder when 3390 is divided by v.
104
Let n be -3 - (-160)/56 - (-58)/14. Suppose 0*y = -4*y + 2*j + 362, -n*j - 4 = 0. What is the remainder when y is divided by 23?
21
Let h(y) = -7*y - 11. Let b(c) = 11*c**2 - 3. Let p be b(-3). Suppose -6 = 10*m - p. Calculate the remainder when h(-5) is divided by m.
6
Let l be 9/1 - (88 - 89). Suppose 7*c - l*c = -123. What is the remainder when c is divided by 15?
11
Suppose 9*w + 1680 = 5*y + 4*w, -677 = -2*y - 3*w. Suppose -5*b + y = -108. Suppose 417 = 4*q + b. What is the remainder when q is divided by 21?
19
Suppose 0 = -4*d + 9 - 1. Suppose 0 = 331*i - 3705 - 2915. Calculate the remainder when i is divided by d.
0
Suppose -40354 = -25*l + 109196. Calculate the remainder when l is divided by 11.
9
Suppose -3*o = -288*r + 286*r - 400, 2*r = 4*o - 536. What is the remainder when o is divided by 106?
30
Let j be ((-534)/8 - 1)/((-13)/104). Let q = -497 + j. Calculate the remainder when 159 is divided by q.
24
Let o(p) = 98*p - 18. Let c be o(4). Calculate the remainder when 262 is divided by c/7 - (-27)/(-63).
50
Let x(r) = -r**3 - 10*r**2 + 72*r - 2. What is the remainder when x(-15) is divided by 2/(-4)*(-60 - -6)?
16
Let o = 60831 + -60823. Let i = 42 - 4. What is the remainder when i is divided by o?
6
Suppose 2*v = 5*g - 285, -5 = -142*v + 141*v. What is the remainder when 2005 is divided by g?
58
Let n = 96 - 96. Suppose -a + 4*j - 4 = 0, a = 2*j - n*j. What is the remainder when 17 is divided by a?
1
Let d = 1741 + -2952. Let s = d - -1240. Suppose 0 = 2*m - 6, -18 = -2*u + m - 3. What is the remainder when s is divided by u?
2
Suppose 90*z - 11560 = -2560. What is the remainder when z is divided by (-7)/(-1) + -2 + 1?
4
Let f(d) = -20*d + 1563. What is the remainder when f(42) is divided by 11?
8
Let s(a) = 57*a + 527. Calculate the remainder when 920 is divided by s(-8).
68
Let o(h) = 3*h**3 - 5*h**2 - 16*h - 2. What is the remainder when 1836 is divided by o(4)?
42
Suppose 4 = 7*r - 3. Let y(u) = 21*u**2 - 3 + 0*u - 5*u**2 - 3*u + 5. Calculate the remainder when 103 is divided by y(r).
13
Suppose 4*h + i = -i + 14, 2*h - 2*i + 8 = 0. Suppose 78 + 18 = 12*q. What is the remainder when (-18)/6 - (-31 - h) is divided by q?
5
Let a be (-5)/10 + (-8510)/(-20). Suppose 0 = 2*b - 4*x - 270, 2*x + a = 21*b - 18*b. What is the remainder when b is divided by 76?
69
Suppose -2*n + 1094 = 522*g - 518*g, 4*g = -n + 1089. What is the remainder when g is divided by 106?
59
Suppose k - h = 59, 2*h = 5 - 7. Calculate the remainder when 983 is divided by k.
55
Suppose 3*x + y = 5*y + 172, 0 = x + y - 62. Calculate the remainder when 17 is divided by x/(-15)*44/(-16).
6
Suppose -801*g = -y - 805*g + 258, -g = 8. What is the remainder when y is divided by 8?
2
Let l(c) = c**2 + 2*c. Let n(g) = 4*g**2 + g - 3. Let f(m) = -2*l(m) + n(m). Calculate the remainder when 69 is divided by f(-3).
21
Suppose 5*y - 24 = 3*y. Let f = 272 - 72. What is the remainder when f is divided by y?
8
Suppose 14*i + 281*i - 690 - 785 = 0. Let m = 55 + -24. Let u = 44 - m. Calculate the remainder when u is divided by i.
3
Let y(t) = -t**3 + 93*t**2 + 107*t - 302. What is the remainder when y(94) is divided by 186?
176
Let c(s) = -30*s**2 + 2*s. Let n be c(-2). Let o = n - -211. Suppose -4*r + o = -r. What is the remainder when r is divided by 8?
5
Let y(w) = 3*w**3 + 189*w**2 - 2*w - 115. Calculate the remainder when (172/(-6))/(10/(-15)) is divided by y(-63).
10
Suppose -441*w + 451*w = -600. Let j be 1/(-2 + 302/150). Let c = j + w. What is the remainder when 42 is divided by c?
12
Let s(v) = v - 4. Let b be s(0). What is the remainder when 119 - (2/(-1))/((-38)/57) is divided by 41 - (5 - (-12)/b)?
38
Let w be (-4)/1 + -2 + 7 + -68. Suppose -3*o - 280 = o. Let u = w - o. What is the remainder when 30 is divided by u?
0
Calculate the remainder when 472 - (-18 - -10 - 5) is divided by 33.
23
Suppose -5*i + 217 - 172 = 0. Suppose 2*y = 5*v + i, 2*v - 11 = -5. Suppose -5*o = 4*d - 3*d - 64, -2*d - o = -92. What is the remainder when d is divided by y?
8
Let k(w) = -w**3 - 7*w**2 + 17*w + 46. Suppose -1 = 4*r - 17. Suppose 2*g = r*g - 436. Calculate the remainder when g is divided by k(-9).
53
Let t be (1 + 8/(-4))/(3/126). Let j be 4 + t/(-14) + 142*1. Let r = j + -106. What is the remainder when r is divided by 9?
7
Let t(a) = 7*a**2 - 18*a - 12. Let k be t(-8). Let r = -565 + k. Calculate the remainder when 40 is divided by r.
10
Suppose -495 + 2535 = 60*f. Let g(o) = o**3 + 6*o**2 + 4*o + 7. What is the remainder when f is divided by g(-5)?
10
Let q(m) = 3*m + 7. Let g(w) = 6*w + 15. Let o(j) = -2*g(j) + 5*q(j). Suppose 10*z = 8*z + 28. What is the remainder when o(6) is divided by z?
9
Let m(x) = 67*x + 742. What is the remainder when 545 is divided by m(-11)?
0
Suppose -2*h + y - 56 = 15, 0 = -h - 2*y - 33. Let t = h + 79. Calculate the remainder when 127 is divided by t.
39
Suppose 0*h - 3*h = -18. Suppose 13*m = 5*m + 21*m - 2223. What is the remainder when m is divided by h?
3
Let u = 47 - 45. Let f(b) = -b**3 - 10*b**2 - 21*b + 5. Calculate the remainder when f(-7) is divided by u.
1
Let r(n) be the second derivative of n**4/12 + n**3/3 - 23*n**2/2 - 5*n + 8. Calculate the remainder when 23 is divided by r(-7).
11
Let f = -12779 - -18385. Calculate the remainder when f is divided by 4.
2
Suppose 754 = 4*s + 2*n - 290, 0 = -3*s - 2*n + 782. Calculate the remainder when s is divided by 66.
64
What is the remainder when 5883/5 + 188/470 is divided by 321?
214
Let h(n) = n**3 - 2*n**2 - 5*n + 6. Let i = 15846 - 15805. What is the remainder when i is divided by h(4)?
5
Suppose -597*k = -590*k + 56. What is the remainder when 59 is divided by k/(-3)*(-5 + 6 + 5)?
11
Suppose 5*w - 5*k = 2605, 11*k + 1555 = 3*w + 16*k. What is the remainder when 2616 is divided by w?
16
Suppose 2*s = -s - 3, 2*o - 66 = -2*s. Suppose 9*x - 151 = -o. Let a = -359 - -361. Calculate the remainder when x is divided by a.
1
Suppose t + 6 = -0*t. Let k = t + 78. Let b(u) = u**2 + 3*u + 5. Calculate the remainder when k is divided by b(-5).
12
Let x = -126 - -126. Suppose o = -o - d + 35, -5*o - d + 92 = x. What is the remainder when 130 is divided by o?
16
Suppose -69*o + 74*o - 40 = 0. Let r(s) = s**3 - 8*s**2 + 2*s - 7. Let u be r(o). Calculate the remainder when 79 is divided by (-8)/6*u*20/(-15).
15
Suppose 11*r - 3*i = 9*r + 91, 3*r - 4*i - 130 = 0. Let s(b) = b**3 + 9*b**2 + 5*b + 2. What is the remainder when s(-8) is divided by r?
0
Suppose 0 = -3*j + 9, -j - 2*j - 513 = -3*x. Let n = 31 - x. Let w = 163 + n. Calculate the remainder when 95 is divided by w.
15
Let v(m) = 2*m - 57. Let r be v(26). What is the remainder when 2