is the remainder when (x + (-16)/20)*355 is divided by f?
7
Let c(b) = 2*b**2 + 3*b - 3. Let m(y) = 8*y**3 - 9*y**2 + 5*y + 13. Let j be m(3). Let x = -110 + j. What is the remainder when x is divided by c(-3)?
5
Let l be 216/((-126)/24 + 6). Let b = l + -184. Calculate the remainder when b is divided by ((-21)/12)/((-1)/12).
20
Let t = 520 - 1088. Let l = -51 - t. What is the remainder when l is divided by 13?
10
Let w be ((-224)/48)/((-2)/6). Let j(z) = z**3 - 9*z**2 - 67*z - 19. Calculate the remainder when j(w) is divided by 2.
1
Let o = 71 + -33. What is the remainder when 580 is divided by o?
10
Suppose 0 = 3*v + 16*k - 18*k + 726, 5*v = 2*k - 1210. Let h = 374 + v. What is the remainder when h is divided by 7?
6
Let m be -1*(0 + 3) - -21. Let f be (-10)/(-3)*27/m. Suppose 0 = -i + 9 + f. What is the remainder when i is divided by 9?
5
Suppose -7*o + 21*o = 72*o + 28*o - 2150. What is the remainder when (0 - 27)*(-12)/9 is divided by o?
11
Let d(n) = -7*n**2 - 541*n + 446. Let s(j) = -4*j. Let t be s(-1). Let y(a) = 2*a + 2. Calculate the remainder when d(-78) is divided by y(t).
6
Suppose -5*n + 1318 = a, -372*n + 374*n - a - 530 = 0. Calculate the remainder when 499 is divided by n.
235
Suppose 5*a = -s + 3363, -2*a - 3*s = -1343 + 3. Let v = -40 + a. Suppose -7*j = -v - 18. What is the remainder when j is divided by 24?
21
Let r(g) = -21. Let a(u) = u + 1. Let q(h) = -4*a(h) + r(h). Calculate the remainder when q(-8) is divided by ((-13)/(-39))/((-2)/(-18)).
1
Let j = 51 + 10. Suppose -12*m = 253 - 589. What is the remainder when j is divided by m?
5
Suppose 4*l = -l + 269 + 231. What is the remainder when 893 is divided by l?
93
Let f be (-2)/4 - (-4)/8*-15. Calculate the remainder when (f/12)/(5/(-135)) is divided by 12.
6
Suppose 2*w + p = -11 + 12, -4*p - 6 = 3*w. Suppose 4*z = -w*o + 202, 2*o + 10 = z - 38. What is the remainder when z is divided by 13?
11
Let v(x) = -x**2 - 3*x - 4. Let r be v(-2). Let n be -1*r/5 - (-246)/10. What is the remainder when 888/10 - 20/n is divided by 18?
16
Let k be 40/(1*2/((-12)/(-3))). Suppose 10*i = 2*i + k. What is the remainder when 118 is divided by i?
8
Let y = 61 + -41. Suppose 3*t = -15, 4*c - 3*c + y = t. Let x = c + 30. What is the remainder when 17 is divided by x?
2
Calculate the remainder when 566 is divided by (-33005)/(-82)*(3 + 76/(-28)).
106
Let d = 6870 - 5886. Calculate the remainder when 1982 is divided by d.
14
Let f(q) = q**3 + 12*q**2 - q - 19. Suppose 0 = -2*a - 9*o + 7*o - 30, 3*o = 4*a + 32. Suppose y - 3*y = -46. What is the remainder when f(a) is divided by y?
21
Suppose s + 217 = -65. Let f = s + 295. Calculate the remainder when 194 is divided by f.
12
Let q(z) = 2*z**2 - 22*z + 22. Let x be q(7). What is the remainder when 87239/391 - (-4)/x is divided by 21?
13
Let o(z) = 3*z - z**2 - z + 5*z + 3 + z**3 - 9*z**2. Suppose 36*k + 105 = 5*c + 40*k, -c + 40 = -3*k. Calculate the remainder when o(10) is divided by c.
23
Suppose -z + 7 = -10. Let r(k) = 2*k**2 + 18*k + 1. Let m be r(-8). Let b = m + z. What is the remainder when b is divided by 2?
0
Let n(p) = p**2 - 7*p + 7. Suppose 11*u = 100 + 216 + 47. Calculate the remainder when u is divided by n(7).
5
Suppose 0 = -5*x + 10*x + 25. Calculate the remainder when x/(-4 - 1)*151 is divided by 17.
15
Let m(s) = -7*s - 11. Let n(j) = 4*j + 7. Let q(b) = -2*m(b) - 5*n(b). Let f be (2 + -3)/(2/8). What is the remainder when q(f) is divided by 5?
1
Calculate the remainder when 1693 is divided by 14 + 390/(-104) - (-3)/4.
10
Suppose -21*m = 9*m + 3161 - 9191. What is the remainder when 802 is divided by m?
199
Let l(k) be the first derivative of 7*k**2/2 - 3*k - 67. What is the remainder when l(3) is divided by 11?
7
Suppose -a = 3*y - 3338, -5*y = -82*a + 85*a - 5566. Calculate the remainder when y is divided by 79.
6
Let n be (156/(-10))/(3/(-15)). Suppose 3*h + 82 = 4*t + h, n = 4*t + 2*h. What is the remainder when 18 is divided by -5*(48/t + -3)?
0
Suppose -5*m = -2*l - 98, 13*m = 8*m - 3*l + 78. Suppose -4*g = -3*n + 420, 5*g + 273 = m*n - 16*n. What is the remainder when n is divided by 25?
19
Suppose 3*q - 3*o = 66, -35*o - 167 = -8*q - 30*o. Calculate the remainder when 192 is divided by q.
2
Let l = 554 + -326. Suppose -2*z - 3*z + 175 = 0. What is the remainder when z is divided by 12/20 + (l/(-10))/(-2)?
11
Let n(i) = 5*i**2 + 59*i + 8. Calculate the remainder when ((-128)/(-28) - 5) + 2860/91 is divided by n(-12).
11
Suppose 5*p = -2*o + 131, 4*p - 82 = 4*o + 6. Suppose -42 = -p*v + 23*v. Calculate the remainder when 27 is divided by v.
6
Let c = -180 - -191. Suppose 17*w = c*w + 402. Calculate the remainder when w is divided by 12.
7
Let b = 49 + 35. Suppose -3*t - g + 66 = 0, -2*t - g = -b + 40. What is the remainder when t is divided by 8?
6
Let h = 21 + 25. Let c(q) = 278*q**2 + 48*q + 45. Calculate the remainder when c(-1) is divided by h.
45
Let v(t) = -t**3 - 14*t**2 + 100*t + 91. What is the remainder when v(-21) is divided by 68?
58
Suppose 3*b = 5*q + 38, 3*q = 5*b - 99 + 9. Calculate the remainder when (-2)/(((-10)/(-30))/(141/(-9))) is divided by b.
10
Let v = -19 - 38. Let r be ((-30)/(-9))/((-2)/v). Let h = r + -91. Calculate the remainder when 6 is divided by h.
2
Let m = -5201 - -5211. Let x = 6 + -2. What is the remainder when m is divided by x?
2
Let f = -5 - -10. Let t = f + -15. What is the remainder when 5 is divided by (-5)/t - (-5)/2?
2
Let g(u) = -2*u**2 - 63*u - 18. Let i be (-16)/12 + (-534)/18. What is the remainder when 23 is divided by g(i)?
10
Let x(y) = -198*y - 61. Let g be x(-3). Suppose 4*r = -4, g = 4*p + 3*r - 380. What is the remainder when p is divided by 66?
31
Let r = -633 - -624. What is the remainder when (0 - 2/(-6))/(r/(-1647)) is divided by 21?
19
Suppose p - 6*p + 3*q = -63, -2*q = p - 23. Calculate the remainder when 297 is divided by p.
12
Suppose i = 8*i - i - 3078. Calculate the remainder when i is divided by 24.
9
Let r = -751 - -753. Suppose -r*h + 1188 = -582. Calculate the remainder when h is divided by 12.
9
Suppose -6*s = 6*d - 2*d - 158, 4*s + 2*d = 102. What is the remainder when 749 is divided by s?
13
Let f(w) = 301*w - 3906. What is the remainder when 173 is divided by f(13)?
5
Suppose 20 = 5*p, 5 = n + p - 7. Suppose -153 = 7*h + 1. Let r = h - -84. Calculate the remainder when r is divided by n.
6
Let x = 4674 - 4661. Calculate the remainder when 504 is divided by x.
10
Suppose 46*q - 60*q = -196. Calculate the remainder when 483 is divided by q.
7
Suppose -44*l - 43*l + 13*l = -13542. What is the remainder when 4751 is divided by l?
176
Let o(d) = -d**3 - 26*d**2 + 21*d - 111. Let j be o(-27). Suppose 6*p - j*p = -540. What is the remainder when 47 is divided by p?
11
Suppose -2*t = 3*k - 626, -8*k - 4*t = -9*k + 190. Suppose -14*p + 10*p + 52 = 0. Calculate the remainder when k is divided by p.
11
Let o(u) = -2*u**2 - 150*u + 27. Calculate the remainder when o(-40) is divided by 123.
121
Suppose 0 = -12*g + 8*g + 96. Suppose -2*n = 5*a - 266, -353 = -2*n - n + 4*a. Let i = n - -42. What is the remainder when i is divided by g?
21
Suppose -22*m + 203 - 49 = 0. Let k = -5 - -5. Let y = k + m. What is the remainder when y is divided by 5?
2
Suppose 0 = -i - 4*u + 10, -4*i - 2*u - 360 = -456. What is the remainder when 899 is divided by i?
15
Suppose 3*d - 5*w - 188 - 453 = 0, 1039 = 5*d - w. Let p = 219 - d. What is the remainder when 13 is divided by p?
1
Let u = 258 - 66. Suppose -4*x + 10*b - 9*b = -186, -4*b - u = -4*x. Calculate the remainder when 127 is divided by x.
35
Let i(b) = -11*b - 3. Suppose -41*p - 392 = -43*p. Let r = 203 - p. Calculate the remainder when i(-2) is divided by r.
5
Let j(o) be the third derivative of -o**4/24 + o**3/2 + 8*o**2. Suppose 5*r + 15 = 4*r. What is the remainder when j(r) is divided by 10?
8
Suppose 35 = -10*r - 25. Let q(l) = l**2 - 2*l - 8. Let h be q(r). Suppose -h = -2*d + 3*j, -3*d - j = 4*j - 98. What is the remainder when 74 is divided by d?
22
Let k be 196/42 - (-4)/(-6). Suppose 3*l - u - 138 = -k, 5*u + 186 = 4*l. What is the remainder when l is divided by 17?
10
Suppose 7943*i - 180 = 7939*i. What is the remainder when 313 is divided by i?
43
Let u = -18 + 28. Let w be -2*((u - 8) + (-5)/2). Wh