Calculate the remainder when 941 is divided by f.
3
Suppose 496 = 5*q - 2*x, 3 = 2*x - 3*x. Suppose 0 = -3*l - 5 + q. Suppose -36 = -5*u + 4*n, -61 = -3*u - 4*n - 65. What is the remainder when l is divided by u?
3
Let m(g) = 13*g - 246. Let h be m(19). What is the remainder when 20 is divided by ((-245)/(-21) - 1) + h/3?
9
Suppose 108 = -f - 4*w - 0*w, 0 = -f - 5*w - 111. Let d = -79 - f. What is the remainder when 48 is divided by d?
14
Let l = -3127 - -3214. What is the remainder when 112 is divided by l?
25
Let r(k) = 2*k**2 + 35*k + 61. Let w(n) = 5*n**2 + 103*n + 184. Let p(q) = 8*r(q) - 3*w(q). What is the remainder when p(36) is divided by 21?
20
Suppose -3*w + 911 = 3*i - 739, i - 2*w = 547. What is the remainder when i is divided by 6?
3
Suppose -48*k - 44*k + 99 = -59*k. What is the remainder when 70 is divided by k?
1
Let a(x) = 4*x**2 + 2*x + 2. Let m = -261 - -263. Suppose -m*o = 2*l - 24, -3*o - 3*l + 40 = 2*l. What is the remainder when a(-2) is divided by o?
4
Suppose 0 = 126567*i - 126515*i - 780. Suppose 0 = -5*z + 2*h + 589, -z + 107 = h + 4*h. What is the remainder when z is divided by i?
12
Let x be 5 + 0 + -7 + 6. Suppose -17 = -f + 4*g, -x*f + 14 = -3*g + 5*g. What is the remainder when 25 is divided by f?
0
Let l = -21 - -31. Let a(v) = 4*v - 46. Let w be a(12). Suppose -c = f - 51, w*c - 88 = 2*f + 3*f. Calculate the remainder when c is divided by l.
9
Let l(d) = -16*d + 22. Let h be l(7). Let s = h - -110. Suppose -2*n = p + n - 108, 0 = n - 4. What is the remainder when p is divided by s?
16
Suppose 18*i = 16*i - 5*y + 51, 0 = 4*i - 4*y - 144. What is the remainder when 1085 is divided by i?
29
Suppose 2*o - 24*v - 449 = -25*v, -1119 = -5*o + v. What is the remainder when o is divided by 76?
72
Let u = -882 + 2412. What is the remainder when 168 is divided by (u/15)/(9/3)?
32
Let q(p) = -p**3 + 3*p**2 - 6*p + 3. Let u be q(4). Let o(w) = 431*w - 3046. Let v be o(7). Let r = v - u. Calculate the remainder when 55 is divided by r.
7
Calculate the remainder when 2020 is divided by -13 + 31 + -1 + -2.
10
Let c = -378 + 432. Suppose -2*w = 3*u - 10, 4*u + 0 = -w + 5. Let o = 14 - u. Calculate the remainder when c is divided by o.
12
Let d = 16898 - 16873. Calculate the remainder when 890 is divided by d.
15
Let t(u) = 2*u**3 + 20*u**2 - 14*u - 58. Calculate the remainder when 433 is divided by t(-3).
103
Suppose 0 = -47*n + 74 + 584. What is the remainder when (43/(-5))/((-2)/10) + -3 is divided by n?
12
Suppose -9*m = -28 - 17. Suppose -m*a + 165 = -275. What is the remainder when a is divided by 45?
43
Let h = -3934 - -4042. Calculate the remainder when 2048 is divided by h.
104
Suppose -6 = -2*i + 180. Suppose 3*q + 40 - 315 = 4*s, 0 = -q + 2*s + i. Let y(g) = -g**3 - g**2 - g + 10. Calculate the remainder when q is divided by y(0).
9
Let i = -37 + 55. Suppose -c = 3*n - 1580, 3*c + 458 = 2*n - 577. Calculate the remainder when (-39)/(-104) + n/8 is divided by i.
12
Suppose 2*f - 2*o = 300, -4*f + 290 = 5*o - 346. What is the remainder when 1237 is divided by f?
5
Let t(m) = 48*m + 960. Calculate the remainder when t(-8) is divided by 204.
168
Let b = -3921 + 3984. What is the remainder when 1763 is divided by b?
62
Suppose 20*r - 101 = 359. What is the remainder when 294 is divided by r?
18
Let v be 220/1650 - (-1414)/(-30). Let t = -184 + 280. Let y = t + v. Calculate the remainder when y is divided by 17.
15
Let r(b) = b**2 + 7*b - 5. Let f be r(-17). Suppose 25*k = 22*k + f. What is the remainder when k is divided by 28?
27
Calculate the remainder when (-437)/(-5) - 4/10 is divided by ((-816)/(-612))/(1/9).
3
Suppose -2623 = -7*x + 28 + 4706. Calculate the remainder when x is divided by 88.
83
Let h(k) be the third derivative of -k**6/120 + k**5/5 - 4*k**4/3 + 4*k**3/3 + 143*k**2. Calculate the remainder when 94 is divided by h(8).
6
Suppose 2*w - 6 = 5*p, 3*w - 3*p = 2*w + 2. Let f(x) = 2*x**2 - 7*x - 53. Calculate the remainder when f(w) is divided by 10.
9
Let i(n) be the second derivative of -n**5/20 + n**4/4 + 5*n**3/6 - 2*n**2 - n. Calculate the remainder when (56/(-12))/(-7) - 242/(-6) is divided by i(3).
8
Let b be (2 - -19) + (-4)/(-2). Suppose 0 = b*h - 15*h - 48. What is the remainder when 41 is divided by h?
5
Let c be 17/5 + (-6)/15. Suppose 0 = 4*f + y - 42, 7*y - 19 + 5 = 0. What is the remainder when (c*-7)/((-9)/12) is divided by f?
8
Let j = -22551 + 22571. Let p = 135 + 42. Calculate the remainder when p is divided by j.
17
Let t = 548 + -482. Let d = -54 + t. What is the remainder when 37 is divided by d?
1
What is the remainder when (-1318)/(-5931) - ((-85522)/9 - 2/(-3)) is divided by 176?
174
Suppose -p = -8 - 3. Suppose 2*y - 3*s - 61 = 0, 0 = -5*y + 327*s - 329*s + 200. Calculate the remainder when y is divided by p.
5
Let n = 66 + -52. Suppose 2*t = -2*g + 60, -g + 49 = 5*t - 105. Suppose t + 36 = w. What is the remainder when w is divided by n?
11
Suppose -2*w - 24 = -2*n, 0 = 2*n + w - 3 - 6. Let l = 81 - 120. What is the remainder when (l/(-6) - 4)*10 is divided by n?
4
Suppose -2*l = 4*p + 10, -p + 2*p = -l - 5. Let o be (p*(-2)/8)/(-3). Suppose -8*k + 12*k - 72 = o. What is the remainder when 142 is divided by k?
16
Let a = -741 - -1413. Suppose -30*c = -27*c - a. Calculate the remainder when c is divided by 25.
24
Suppose -5*s = 4*p - 1003 - 191, -22*s = -2*p - 5234. Calculate the remainder when 15707 is divided by s.
237
Let u = 4919 + 900. Calculate the remainder when u is divided by 15.
14
Let r(u) = 2*u + 6. Let d be r(-4). Let o = d + 100. Calculate the remainder when o is divided by 245/(-21)*(6 - (-240)/(-35)).
8
Let r(s) = 25*s + 2. Let o(v) = -v**2 - 45*v - 242. Calculate the remainder when r(3) is divided by o(-38).
5
Let c be 2/4 + (-1229)/(-2). Suppose c - 123 = 3*j. Let d(s) = -s**3 + 31*s**2 + 51*s - 566. Calculate the remainder when j is divided by d(32).
38
Suppose -182*n = -199*n + 1207. Calculate the remainder when 386 is divided by n.
31
Suppose -4*c + 3*c - 2 = 0. Let q be (-1)/c - ((-44)/(-8) + 3). Calculate the remainder when 17 is divided by (22/q)/(3/(-12)).
6
Suppose -6 = 3*h + 3*r, -4*r = h - 9*r - 28. Suppose -h*p - 4*k + 30 = -2*p, -4*k - 54 = -5*p. Calculate the remainder when 109 is divided by p.
11
What is the remainder when (-33 + 30)*(899/(-3) - 2) is divided by 65?
60
Suppose -611 = -17*h + 1174. What is the remainder when 418 is divided by h?
103
Suppose 3*n + 10*n - 3989 = -349. Calculate the remainder when 285 is divided by n.
5
Calculate the remainder when 471 is divided by (-2 + 8 + 16)/((-2 + 3)*2).
9
Suppose 3*o = -3*r + 82 + 653, r = 4*o - 1000. What is the remainder when o is divided by 32?
25
Let x(v) = -4*v**3 - v**2 - 8*v - 4. Let q be x(-4). Suppose -30*n + q = -512. What is the remainder when 137 is divided by n?
7
Calculate the remainder when (-239)/(-1673) + 7684/14 is divided by 124.
53
Suppose p + 6 = -3*n + 22, 0 = -p - 5*n + 10. Calculate the remainder when 247 is divided by p.
22
Let a(r) be the second derivative of -5*r**3/3 - 88*r**2 - 61*r. Calculate the remainder when 235 is divided by a(-21).
31
Let s(a) = -2*a**2 - 283*a - 903. What is the remainder when s(-124) is divided by 191?
190
Suppose 0 = 5*m - 2399 + 2309. Calculate the remainder when 105 is divided by m.
15
Let l = -2411 + 2422. Let y = 64 - 24. Calculate the remainder when y is divided by l.
7
Let c(m) = -m**3 + m**2 - m - 1. Let v(l) = -7*l**3 + 17*l**2 - 7*l - 44. Let q(d) = 6*c(d) - v(d). Calculate the remainder when q(11) is divided by 40.
9
Suppose -u - 76*b = -72*b - 8, 0 = -u - b + 5. What is the remainder when 32 is divided by u?
0
Suppose -4820 = -13*r - 34*r + 3264. Let g = 6 - -23. What is the remainder when r is divided by g?
27
Suppose 5*x + 40 = -0. Let c be (9/6)/((-6)/x). Suppose -40 = -c*h - 4*n, 5*h - 64 = 2*h - 5*n. Calculate the remainder when 83 is divided by h.
27
Let r = 123 - 124. What is the remainder when 364 - (r - (2 + -6)) is divided by 73?
69
Suppose -2*s + 1380 = -4*v, -135*s + 695 = -134*s + 3*v. What is the remainder when s is divided by 218?
38
Let b = -60 + 5. Let c = b + 93. Suppose -c*a + 174 = -35*a. Calculate the remainder when a is divided by 10.
8
Let d = -2736 + 4096. Calculate the remainder when d is divided by 47.