f - b = 37 - 341. Calculate the remainder when f is divided by k.
37
Suppose 0 = -z + 5*i - 1, -2*i + 14 = z + 2*z. Suppose 3*p - 6*p = -z*b - 106, 0 = 3*p + 2*b - 100. Calculate the remainder when p is divided by 12.
10
Suppose -2*h = -5*f + f - 362, -4*h - 5*f = -776. Suppose -4*a + 2*j = -254, -8*a = -11*a + 3*j + h. Calculate the remainder when 253 is divided by a.
61
What is the remainder when (-110)/9 + 12 + (-86)/18 + 28200 is divided by 53?
52
Let t = 1262 - 801. Calculate the remainder when t is divided by 67.
59
Suppose -180 = -17*q + 2*q. Let h(w) = w - 1. Let k(y) = 6*y + 16. Let r(g) = q*h(g) - k(g). Calculate the remainder when 97 is divided by r(8).
17
Let j = -276 + 306. Suppose 5*y - 761 + 126 = 0. Let k = y - j. What is the remainder when k is divided by 25?
22
Let z = 1602 + -1377. Calculate the remainder when z is divided by 43.
10
Suppose 125*v = -104*v + 145*v + 4284. Let z(h) = 5*h + 10. What is the remainder when v is divided by z(6)?
11
Let h be -18*(2/6 + 6/(-9)). Suppose -h*k + 879 + 1353 = 0. Suppose -55 - k = -7*s. Calculate the remainder when s is divided by 31.
30
Let l(y) = -y**3 + 13*y**2 + 3*y - 1. What is the remainder when ((-51)/12)/((-1)/12) is divided by l(13)?
13
Suppose -2*u = -t + 11, 2*t + 3*u = 4*u + 37. Suppose t*k + 63 - 294 = 0. What is the remainder when 32 is divided by k?
10
Let a(z) = z**3 - 18*z**2 - 39*z - 20. Let p be a(20). Suppose 2*r - 2872 = -2*k, r + 2*r - k - 4328 = p. Calculate the remainder when r is divided by 19.
16
Let v(x) = x**3 + 26*x**2 - 5*x - 48. Suppose 2*m + 5*s - 19 = -3, -38 = -m + 5*s. Calculate the remainder when v(-26) is divided by m.
10
Suppose 266 = 2*h + 5*x, 3*h + 2*h - 728 = -2*x. What is the remainder when 945 is divided by h?
57
What is the remainder when (-12)/(504/(-1435))*6 is divided by 67?
4
Suppose 0 = -w - 5 + 3, 2*w + 19 = -3*y. Let c(n) = -4 + 2*n - 3*n - 2*n - 2*n. Calculate the remainder when c(y) is divided by 8.
5
Let o = 67 - 48. Calculate the remainder when 12/4 - (-221 - -42) is divided by o.
11
Let h(m) = m**3 - 39*m**2 - 273*m + 53. Calculate the remainder when 194 is divided by h(-6).
52
Calculate the remainder when 8812/32 + 255/(-680) is divided by 60.
35
Suppose -663*t + 668*t - 3*l - 55 = 0, l = -2*t + 33. What is the remainder when 9686 is divided by t?
12
Let c = -56050 - -78548. What is the remainder when c is divided by 150?
148
Let z(b) be the third derivative of -37*b**6/120 - b**4/12 - 7*b**3/6 + 109*b**2. What is the remainder when z(-2) is divided by 6?
5
Suppose 3*w + 2*q - 146 = -2*q, -q = 5*w - 249. What is the remainder when 246 is divided by w?
46
Let k(v) = v**2 + 16*v - 16. Let m(w) = -5*w**2 + 4*w - 4. Let o be m(2). Let b be k(o). What is the remainder when (b/24)/(((-4)/141)/2) is divided by 24?
23
Let z = 141 + -138. Suppose 0 = -z*f - f - 3*y + 139, -113 = -3*f - 4*y. What is the remainder when f is divided by 5?
1
Let r = -5 + 11. Let y(q) = 2*q**3 - 7*q**2 - 7*q + 14. Let h be y(r). Suppose -12*k + 628 = -h. What is the remainder when k is divided by 35?
30
Suppose 0 = -g - 2*i - 10 + 21, g - 7 = 2*i. Let k(f) = f**3 - 6*f**2 - 19*f - 25. Calculate the remainder when k(g) is divided by 18.
11
Suppose 55 = 5*t - 0*t. Suppose h = -5*z + 8, 5*h - 4*z + 0*z - t = 0. What is the remainder when 61 is divided by (-40 - (h + 1))/(-2)?
17
Suppose 0 = 3*v - 17 - 178. Let f = v + -63. Suppose -y = 3*m - 58, f*m + y - 17 = -4*y. Calculate the remainder when m is divided by 12.
9
Let c(s) = s + 24. Let l be c(-21). Suppose -17 = -l*p + 2*w, -4*p + p + 5*w = -29. Let u(g) = 2*g + 1. Calculate the remainder when 20 is divided by u(p).
6
Let a be -402 - (-90)/15 - 5*1. Let k = -313 - a. Calculate the remainder when 526 is divided by k.
86
Calculate the remainder when (-2)/(-10) - (-123270)/525 is divided by 112.
11
Suppose -2*j - 40 = -3*x, 0 = -4*j + 2*x + 3*x - 78. Let i = j - -28. Calculate the remainder when i is divided by 3 + (-3 + 0 + -7)*177/(-590).
5
Suppose 12*c - 16*c = 0, 0 = p - 4*c + 3. Let r(q) = -5 - 9*q - 11 - 22*q. Calculate the remainder when r(p) is divided by 20.
17
Let o(p) = -2*p + 27. Let g be o(12). Suppose 0 = -4*h + 7 - g. What is the remainder when ((-19)/(-38))/(h/134*1) is divided by 34?
33
Let v = 10 + 7. Let m(g) = 4*g**2 + 40*g - 14. What is the remainder when m(-12) is divided by v?
14
Calculate the remainder when 920 is divided by 1*-35*(11/77 + -1).
20
Let g = 4247 - 3168. Calculate the remainder when g is divided by 9.
8
Let c = 5969 - 5944. What is the remainder when 448 is divided by c?
23
Let t = 9 + -2. Suppose 0 = 4*y - p - 16, 4*p - t = 9. Let f(a) = a**3 - 5*a**2 + 4*a + 3. What is the remainder when 68 is divided by f(y)?
22
Let a = 199 + -116. Suppose a = 7*h + 6. Calculate the remainder when h is divided by 9.
2
Let k = 11266 + -9839. What is the remainder when k is divided by 55?
52
Suppose 33*p - 13*p = 9340. Let d = 1856 - 1817. Calculate the remainder when p is divided by d.
38
Let o be (27/2)/(-9)*-2. Let w = -773 + 835. What is the remainder when w is divided by 22 + o - (-6)/(-2)?
18
Suppose -948*q + 1036*q = 272008. What is the remainder when q is divided by 172?
167
Let h(r) = -40*r + 1457. Calculate the remainder when h(-18) is divided by 273.
266
Let g be ((-10)/(-4))/((-2)/(-4)). Suppose 153 = g*l + 23. What is the remainder when (80/(-96))/(-4 + -1)*6*75 is divided by l?
23
Suppose 4*x - 12 = j + 3*j, 5*x + 3*j = 15. Suppose -2*b + 0*b - 3*r = 71, 4*b + x*r = -139. Let c = b - -57. What is the remainder when c is divided by 15?
8
Let w(h) = -h**3 - 20*h**2 + 45*h - 35. Let f be w(-22). Let g = f - -142. What is the remainder when g is divided by 25?
10
Calculate the remainder when -4*9/(-12) + 1 is divided by (-2)/(-26)*(-3 - (-1 - 15)).
0
Let d be 116 + (5/3)/((-2)/(-6)). Let p = 202 - d. Calculate the remainder when 252 is divided by p.
9
Let d(b) = 67*b**2 + 42*b + 3. Let r be d(-2). Let g = r - 80. Calculate the remainder when g is divided by 37.
33
Let u = -144 - -140. Calculate the remainder when u/54*-1347 - 20/(-90) is divided by 34*1/((-2)/(-2)).
32
Suppose 5*n - 4 + 40 = -2*g, 0 = -2*g + n - 12. Suppose -29*k - 407 = -59. Calculate the remainder when 23 is divided by (0 - -4) + (g - k).
7
Let k(l) = -l**3 - 12*l**2 - 11*l + 33. Suppose 8*z - 15*z = 77. Calculate the remainder when k(z) is divided by 20.
13
Suppose -2*o + 352 = 5*d - 217, -572 = -2*o - 2*d. Suppose -16*i + o = -49. Calculate the remainder when 228 is divided by i.
18
Suppose 4*i - 17 = 39. Let d = 24 + -20. Suppose 0 = d*o + 19 - 35. Calculate the remainder when i is divided by o.
2
What is the remainder when 156/(-8)*(-88)/3 is divided by 143?
0
Let r = -49 + 17. Let j be (30/20)/(6/r). What is the remainder when 35 is divided by ((-6)/j)/(20/480)?
17
Let h(u) = -2*u**2 - 35*u - 27. Let t be h(-10). Suppose -10*m + t = -47. Let v(a) = -5*a + 5. Calculate the remainder when v(-9) is divided by m.
16
Let t(k) = -5*k**2 + 73*k - 153. What is the remainder when (10/(-20))/(1/(-70)) is divided by t(12)?
2
Let g(i) = i**2 - 15*i - 9. Suppose -2*l - 24 = -2*v, 3*v = -v + l + 63. Calculate the remainder when 87 is divided by g(v).
12
Suppose -3*y - 81 = -5*o + 1170, 4*o + y - 994 = 0. Calculate the remainder when o is divided by 158.
91
Let i(q) = -29*q + 266. Let m be i(9). Suppose 46 = m*t - 3*n, 98 - 61 = 2*t + 5*n. What is the remainder when 39 is divided by t?
6
Suppose 0 = 2*f - 5*o - 39, -7*f - o = -4*f - 50. Suppose 0 = -f*y + 132 + 106. Calculate the remainder when 97 is divided by y.
13
Suppose 2*u - 3 = -v + 11, -2*v = 5*u - 30. Let a(j) be the second derivative of -j**3 + 23*j**2/2 - j. What is the remainder when a(0) is divided by v?
3
Let s(p) = 3*p**3 + 1. Let r(f) = 8*f**3 - 30*f**2 - f. Let z(c) = r(c) - 3*s(c). Calculate the remainder when 374 is divided by z(-30).
23
Let h be (-12)/(-18)*((-1)/2 + 2). Let m be (-205)/((h*4/4)/1). Let z = -130 - m. What is the remainder when z is divided by 19?
18
Suppose -105*r - 207 = -107*r - q, -3*r + 308 = q. Calculate the remainder when r is divided by (-16 + 6)/(2/(-14)).
31
Let f = 423 - 346. Suppose -80 = -5*k + p, 4*p - 27 = -4*k + 61. What is the remainder when f is divided by k?
9
What is the remainder when 1229 is divided by (9 - 133