). Suppose 14*f - 189 = r. What is the remainder when f is divided by 22?
12
Let v = 24608 - 20873. Calculate the remainder when v is divided by 72.
63
Suppose 0*a - 232 = -4*a. Let w = 16 + -31. Let p(c) = c**3 + 15*c**2 - 3*c - 33. What is the remainder when a is divided by p(w)?
10
Let r be 48/(-16) - (-508 - -1). Suppose -509*x = -r*x - 345. Calculate the remainder when 129 is divided by x.
60
Suppose 86*a - 116408 = -4*x + 82*a, -116405 = -4*x - a. What is the remainder when x is divided by 16?
13
Let u(o) = o**2 - 8*o + 2. Let a be u(8). Suppose -a*k - 26 = -104. What is the remainder when k is divided by 3 + (1 - 8) + 10?
3
Let x(f) = -361*f + 3337. Calculate the remainder when x(8) is divided by 115.
104
Let j = 36 - 16. Let f(p) = p**2 - 6*p - 12. Let m be f(8). Suppose -m*y - 24 + 176 = 0. What is the remainder when y is divided by j?
18
Suppose 18*h = 12*h + 12. Suppose -h*m - 3*r - 285 = 0, -3*r - 15 = -0*r. What is the remainder when 42 is divided by m/(-12) + (-1)/4?
9
Suppose -21*n = 22139 - 23987. What is the remainder when 2374 is divided by n?
86
Suppose 0 = -y - z + 236, -2*z + 1170 = 5*y + z. Let l = y - 134. What is the remainder when l is divided by 10?
7
Let k(a) = -a**2 - 5*a + 1. Let w be ((-25)/(-5) + -5)/(1 - 0). Suppose -8*z + 3*z + 140 = w. Calculate the remainder when z is divided by k(-4).
3
Suppose 0 = -21*b + 19*b + 366. Let p = b - 157. What is the remainder when 320/(-24)*(-48)/5 is divided by p?
24
Let o be ((-6)/(-4))/(57/(-13072)). Let t = o - -572. What is the remainder when t is divided by 11?
8
Let m = -3 + 1. Let p = 8 + m. Let f = -1722 + 1737. What is the remainder when f is divided by p?
3
Suppose -6*r = -2*s - r - 307, 0 = -5*s + 2*r - 715. Let h = 142 + s. Calculate the remainder when (-1365)/(-15) - (-2 + -2*h) is divided by 14.
11
Let x = -7543 + 23448. Calculate the remainder when x is divided by 164.
161
Let p = 14 - -19. Calculate the remainder when (-10750)/301*(-329)/235 is divided by p.
17
Suppose 9*m - 40 - 5 = 0. Suppose 7 = 2*p - 3. What is the remainder when p is divided by m?
0
Let f(g) = g**3 + g**2 - 17*g + 4. Let s be f(0). What is the remainder when 61 is divided by s*(-10)/8 + 37?
29
Let i(w) = w**3 + 8*w**2 + 11*w + 13. Let k be i(-7). Let z be ((-20)/k)/(2/(-48)). Calculate the remainder when 470/16*2 + 24/z is divided by 18.
4
Let z(m) = m**2 - m + 2. Let i be z(0). Suppose 0*u - u + 4 = 3*a, 3*a - 8 = -i*u. What is the remainder when -35*(2 + a + -4) is divided by 18?
16
Suppose 0 = 8*j - 12*j + 12. Suppose 0 = -j*i + 13 - 1. Calculate the remainder when (-3)/((-6)/44) - -4 is divided by i.
2
Suppose 2 + 2 = -u, 33 = 5*m - 2*u. Suppose -5*c + v - 21 = m*v, -c - 10 = -5*v. Let j(t) = 2*t**2 + 5*t - 4. What is the remainder when j(c) is divided by 8?
5
Let q be (-6)/4*(-8)/6. Let p(t) = -2*t + 0 - 20 + 24 + t**3. Calculate the remainder when 39 is divided by p(q).
7
Let v be 156/195*(-7)/4*-210. Let z = v - 165. What is the remainder when z is divided by 19?
15
Suppose 0 = 21*t - 247*t + 100344. Calculate the remainder when t is divided by 18.
12
Let w = 1876 + -1726. Calculate the remainder when 443 is divided by w.
143
Let i = 868 + -813. What is the remainder when 145 is divided by i?
35
Suppose -49*s = -41*s - 512. Suppose 0 = -4*y - 2*p + 1780, -5*y = 5*p + 1022 - 3247. What is the remainder when y is divided by s?
61
Suppose 120*m + 122*m - 27408 = -329*m. Calculate the remainder when 16/12*(-414)/(-4) is divided by m.
42
Let p be 2*(6 + (-69)/2). Suppose 0 = -4*h - 5*m + 6*m + 408, -h - 5*m = -81. Let n = p + h. What is the remainder when 129 is divided by n?
41
Suppose -767 = 3*q - 6*q - v, 5*q - 1282 = 2*v. What is the remainder when q is divided by 262/6 + (132/18 - 8)?
41
Let g be ((17 - 18)*158/(-2))/1. Let r = g + -50. Let q(o) = o**2 - 3. Calculate the remainder when r is divided by q(3).
5
Let i = 11774 - 11726. Suppose -12 = 3*n, 0 = -3*l - 0*n - 5*n + 19. What is the remainder when i is divided by l?
9
Let o(t) = t + 18. Let m be o(-21). Let v(r) = -22*r - 21. Suppose -3*c + x = 5 - 21, x - 26 = -3*c. What is the remainder when v(m) is divided by c?
3
Let d = -932 + 987. What is the remainder when 74 is divided by 61/(-1)*(d + -56)?
13
Suppose -4*t = 4*u - 162 - 466, t = -3*u + 479. Calculate the remainder when u is divided by ((-10)/10)/(4/12) - -21.
17
Let y be (0 + -4 + 3)*-5. Suppose 45 = y*r - 30. What is the remainder when 4 + 65 + -12*5/(-15) is divided by r?
13
Suppose -62*c - 49*c = -6216. Calculate the remainder when 583 is divided by c.
23
What is the remainder when -69*(-3)/(-2)*(312/4)/(-13) is divided by 38?
13
Let a = 15 + -15. Suppose a = -4*g - 2*w - 10, g - 15 = 4*w - w. Suppose 2*r - 7*r + 85 = g. What is the remainder when r is divided by 9?
8
Let v = 13 + -2. Calculate the remainder when v is divided by -15*24/(-180)*3.
5
Suppose 9*p = -5 + 50. Calculate the remainder when (-28)/21*((-411)/6 - p) is divided by 12.
2
Suppose -1895 = -23*o + 18*o - 3*w, 2*w = o - 392. What is the remainder when o is divided by 238?
144
Suppose 3*g + 5 = 14. Suppose q - 6*q = -3*r + 60, g*q + 84 = 5*r. Calculate the remainder when ((-14)/(-6))/(-7)*-3*r is divided by 8.
7
Let q be (3/(-2))/((-10)/20). What is the remainder when 146*(-2)/(-4) - (11 + -17) is divided by 25 + 0 + -1 + q?
25
Let j be 2*(-12)/(-8) + 3. What is the remainder when 2 - ((-345)/j - 5/10) is divided by 13?
8
Let y = -46 - -44. Calculate the remainder when 61 is divided by ((-11)/y + -6)*-30.
1
Let v = -3047 - -3118. Calculate the remainder when 1059 is divided by v.
65
Let f be 66*(3 + 15/(-10)). What is the remainder when 54 is divided by (f/(-27) + 5)/((-1)/(-21))?
26
Suppose -10*i - 96 = -34*i. Suppose -r = -g + 4 + 13, -i*r + 58 = 3*g. What is the remainder when g is divided by 6?
0
Calculate the remainder when 2923 is divided by (-4)/(-5) + (-13665)/(-75).
178
Let a(l) be the second derivative of 7/5*l**5 + 0*l**3 + 0 + 15*l + 1/12*l**4 + 0*l**2. What is the remainder when 55 is divided by a(1)?
26
Let r = -3852 + 3887. Calculate the remainder when 453 is divided by r.
33
Suppose -5*g - 2*o + 128 = 0, -3*g - 3*o + 69 = -6. Let p(i) = -4*i**3 + 3*i + 3. What is the remainder when p(-3) is divided by g?
24
Let b(g) = 12*g**2 - 7*g - 6. What is the remainder when 55*(210/25)/6 is divided by b(-1)?
12
What is the remainder when 2215 is divided by (-2 + (-2 - -5))*35?
10
Let t(m) = -16*m - 68. Suppose 86*n = 30*n - 336. Let y = 29 + -18. Calculate the remainder when t(n) is divided by y.
6
Let f(t) = -t**3 + 84*t**2 - 158*t - 474. Let r = 1 + 36. Suppose 0 = -5*g - 2 + r. What is the remainder when f(82) is divided by g?
4
What is the remainder when (((-33858)/72)/(-33))/(21/812) is divided by 12?
11
Let m(l) = 8*l**2 - 12*l + 19. Let x be m(2). Suppose -10*j + 6*j + 18 = 2*c, -j - x = -4*c. What is the remainder when 11 is divided by c?
4
Suppose -5*d + 635 = 5*r, -30*r - 5*d = -26*r - 508. What is the remainder when r is divided by 2?
1
Let z(r) = 5*r**2 - 23*r - 14. Suppose -2*j = -3*h + 26, 2*h + j + 2*j = 13. What is the remainder when z(h) is divided by 2?
0
Suppose 3*q - 1416 = -4*i, 50*i + 4*q - 1069 = 47*i. Calculate the remainder when i is divided by 48.
15
Let p = 45 - 102. Let k = p - -116. Let r = 74 - k. Calculate the remainder when 41 is divided by r.
11
Let q(d) = -d**2 + 8*d + 13. Let s be q(9). Suppose p + p = 2*c + 4, s = 2*p + c. What is the remainder when 5 is divided by p?
1
Suppose m - k = -241, 2*k + 512 = -2*m - 2*k. Let u = 269 + m. Calculate the remainder when 89 is divided by u.
20
Calculate the remainder when 365 is divided by 2*3/(-12) + 2*(-4605)/(-60).
59
Calculate the remainder when 14/((-112)/(-6))*-540*-1 is divided by 2.
1
Suppose -8 + 21 = s. Let c be (-344)/(-2) + -1*(5 - 9). Let q = c + -127. Calculate the remainder when q is divided by s.
10
Suppose -4*m + 2638 = 154. Let o = m + -414. Calculate the remainder when o is divided by 53.
48
What is the remainder when 254 is divided by 50*(36/(-24))/(-3)?
4
Let u(k) = 216*k - 4. Let a be u(1). Let o = a + -203. What is the remainder when 41 is divided by o?
5
Calculate the remainder when 194 is divided by 2159/136*-4*-2.
67
Suppose -3*v - n = 100 - 148, 4*v = -n + 64. What is the remainder when 12