, 6*a - f*a - y - 68 = 0. What is the remainder when a is divided by i?
2
Let i be 5/((-60)/(-32))*3/2. Let p(o) = 5*o**2 - 10*o + 11. What is the remainder when p(i) is divided by 27?
24
Let t = -105 + 178. Let p(k) = -11 - 4*k**3 + 3*k**3 + 2*k**3 - 13*k + 9*k**2. What is the remainder when t is divided by p(-10)?
16
Suppose -4*r = 5*o - 80, 6*r + o - 64 = 2*r. Suppose 11*v - 8*v = 6. Calculate the remainder when r is divided by v.
1
Let f(u) = -u**3 - 12*u**2 + 37*u - 52. Suppose -5*b = 20, 4*v + 0*b + 3*b - 28 = 0. Calculate the remainder when f(-15) is divided by v.
8
Suppose -10*w + 141 = -129. Calculate the remainder when 156 is divided by w.
21
Calculate the remainder when (-24)/(-2) - (16 + -10) - -46 is divided by 9.
7
Let z(m) = -m + 6. Let f be z(6). Suppose -r = -2 - f. What is the remainder when 8/(6/(-72)*-8) + -6 is divided by r?
0
Suppose 5*l = -4*u - 7, -6 = l + 2*l + 3*u. Calculate the remainder when 178 is divided by 1*1*36 - (l + -1).
34
Calculate the remainder when (8 - 1) + 0 - -132 is divided by 10.
9
Calculate the remainder when 221 is divided by 23/5*(-35)/(-7).
14
Suppose 5*k + k = 540. Calculate the remainder when k is divided by 23.
21
Suppose 3*g = 2*k + 277, 2*g + 9*k - 12*k - 183 = 0. Let q = 99 - g. Calculate the remainder when 9 is divided by q.
3
Suppose -4*l = 2*m - 50, -59 + 18 = -2*m - l. Let g(x) = 38*x**3 - 2*x**2 + 7*x - 7. What is the remainder when g(1) is divided by m?
17
Let y(h) = 9*h**3 - 3*h**2 + 3*h. Let p be y(2). Suppose p = -4*m + 6*m. What is the remainder when m is divided by 18?
15
Let x = 939 - 760. Calculate the remainder when x is divided by 21.
11
Let p be (-2 - 15/(-10))/(2/(-180)). Let i = 106 - p. What is the remainder when i is divided by ((-16)/(-20))/(2/40)?
13
Let p be (-8)/(96/(-9))*-16. Suppose 0 = -v - 3. Calculate the remainder when 46 is divided by -5 - -2 - (p + v).
10
Let c be (2 + 2)*(-7)/4. Let u(l) = -8*l + l**2 - 5*l - 2*l**2 + 4. What is the remainder when u(c) is divided by 16?
14
Let y = 140 - 51. What is the remainder when y is divided by 19?
13
Suppose -3*m - 3*t + 72 = 0, -3*m = -t - t - 67. Suppose -4*n + 88 = -96. Let h = n + -33. Calculate the remainder when m is divided by h.
10
Calculate the remainder when 147 is divided by (4 - -4 - 9)*-19.
14
Let f(r) = r + 1. Let t(q) = -14*q + 7. Let w(h) = -2*f(h) + t(h). Calculate the remainder when w(-7) is divided by 41.
35
Suppose -j - 28 = -8*j. Let a(k) = k**3 - 5*k**2 + 2*k - 5. Let r be a(5). Suppose j*n = r*n - 8. What is the remainder when 30 is divided by n?
6
Suppose 0 = 4*k - k - 426. What is the remainder when k is divided by (-40)/30*(72/(-60))/(2/30)?
22
Let s = -706 + 722. Calculate the remainder when 1663 is divided by s.
15
Suppose 189 = 3*c - 2*n, -c + 4*c + 3*n = 174. What is the remainder when 1400 is divided by c?
58
Suppose -20*p = 2*p - 506. What is the remainder when 181 is divided by p?
20
Suppose -331*h + 336*h - 235 = 0. What is the remainder when 154 is divided by h?
13
Suppose -4 = -2*j, 0 = -h + j - 8 - 1. Let w(k) = -6*k - 6. Let d(p) = 7*p + 5. Let c(s) = 4*d(s) + 5*w(s). What is the remainder when 15 is divided by c(h)?
3
Let l(s) be the third derivative of s**5/60 - s**4/24 + 4*s**3/3 - 39*s**2. Calculate the remainder when 65*((-12)/10)/(-3) is divided by l(3).
12
Suppose 3*s + 16 = -3*l + 55, 81 = 5*s - 3*l. Suppose 25 = 5*p - 5*z, 2*p - p + 4*z = s. What is the remainder when p is divided by 4?
3
Suppose 3*l = -y + 242, -2*l + y + 120 = -43. Calculate the remainder when 245 is divided by l.
2
Let s(i) = i**3 - 6*i**2 + 2*i - 7. Let l be 1/(-4) - (-1410)/40. Calculate the remainder when ((-21)/l)/(2/(-60)) is divided by s(6).
3
Suppose r = 28 + 6. Let u(q) = -q**2 - 44*q - 25. What is the remainder when u(-41) is divided by r?
30
Suppose w = -4*q + 3, 2*w - 7 = 4*q - 1. Suppose 0 = 4*f + 2*g - 66, 50 = 3*f - q*g + 2*g. What is the remainder when f is divided by 6?
4
Suppose -v = 3*v + 16. Let g(j) = -7*j + 11. Calculate the remainder when g(v) is divided by 11.
6
Suppose 3*f = -f + 732. Let g be (8/12)/(2/f). Let x = 86 - g. Calculate the remainder when x is divided by 7.
4
Let w = 59 - -32. Let n = 106 - w. Calculate the remainder when 53 is divided by n.
8
Calculate the remainder when 3115/14*(-8)/(-10) is divided by 58.
4
Suppose 10*w - 5*w = -2*g + 456, 0 = -3*g - 6. Calculate the remainder when w is divided by 34.
24
Let b = 1425 - 1403. Calculate the remainder when (-2)/9 + (-965)/(-9) is divided by b.
19
Suppose 0 = -2*w + 8 + 2. Suppose -3*d - 4*c = 2, 4*c + 0*c = -w*d + 10. Suppose -z + 4*t = -0*z, 5*t = 5. What is the remainder when d is divided by z?
2
Let q(l) = 3*l**2 - 2*l + 3. Let u be q(1). Suppose 6*o + u = 7*o. Calculate the remainder when 50 is divided by o.
2
Let y be (8/3 - 0)*4020/80. Let n = -62 + y. Calculate the remainder when n is divided by 15.
12
Suppose -5*b + 34 - 14 = 0. Calculate the remainder when 127 is divided by 1188/45 + b/(-30)*3.
23
Suppose -3*t + 5*t + 592 = 4*u, -4*t - 1211 = u. Let m = -203 - t. What is the remainder when m is divided by 34?
31
Let k(f) = 2*f**2 + 82*f + 554. Calculate the remainder when k(0) is divided by 13.
8
Let c(b) = b**3 - 3*b**2 - 5*b + 1. Let a be c(4). Suppose 0 = 6*v + 16*v - 286. What is the remainder when ((-1 - a) + -3)*-50 is divided by v?
11
Let a = -8 + 23. Let u be ((0/5)/(-1))/(-1). Suppose 4*q + 2*q - 174 = u. What is the remainder when q is divided by a?
14
Suppose 4*j - 224 = 3*z + 29, -z = -5. Let t(b) = 5*b**2 - 4. What is the remainder when j is divided by t(-2)?
3
Let j = -35 - 17. Let p = -33 - j. Calculate the remainder when 54 is divided by p.
16
Suppose -14*o + 18*o = 24. Let l be (16 - 1)*(-2)/(-6). Suppose 0 = o*x - 5*x - l, 5*x = n. Calculate the remainder when n is divided by 14.
11
Suppose 3*h + 29 = 2*r, -4*r - 44 = 4*h + 8. Let c be (-3782)/h - 2/(-11). Calculate the remainder when c/(-6)*(-6)/4 is divided by 22.
20
Suppose 54*w + 216 = 62*w. What is the remainder when w is divided by 21?
6
Suppose 66*i + 4609 = 77*i. What is the remainder when i is divided by 16?
3
Let w = -22 + 30. Calculate the remainder when 126 is divided by w/(-16)*4*16/(-1).
30
Let c(f) = 4*f**2 + 3*f + 6. What is the remainder when 40 is divided by c(-2)?
8
Suppose 155 = 607*s - 606*s. What is the remainder when s is divided by 52?
51
Let h = 234 + -221. What is the remainder when h is divided by 1?
0
Let r(y) = 13*y + 15*y - 23*y. Calculate the remainder when r(9) is divided by ((-12)/(-5))/((-3)/(-20)).
13
Let b = -53 + 58. Suppose -b*w - 20 = -w, -3*f + w + 182 = 0. Calculate the remainder when f is divided by 32.
27
Let t = -35 - -350. Calculate the remainder when t is divided by 64.
59
Let x be 300/24 - (-1)/(-2). Suppose -2*q + 0 = -x. Suppose 3*m = 3*d - 0*m - 75, 5*d - 123 = 4*m. Calculate the remainder when d is divided by q.
5
Let n = 17 + -29. Let h = -8 - n. Suppose 0 = -3*q + m + 30, q - 5 = m + m. What is the remainder when q is divided by h?
3
Let v be (-4)/6 + (-94)/(-6). Let k be 81/15 + (-6)/v. Suppose k*q - 11 - 49 = 0. Calculate the remainder when 22 is divided by q.
10
Let q be 84/10*(12 - (-144)/(-27)). Let k be 5/4 + (-1)/4. Calculate the remainder when (q - 1) + k*-3 is divided by 18.
16
Let m(s) = -s**2 - 4*s + 1. Let b be m(-3). Let v(r) = 40*r - 8. What is the remainder when v(b) is divided by 31?
28
Suppose 0 = 62*g - 82*g + 10160. What is the remainder when g is divided by 87?
73
Suppose 0 = -4*a + 21*h - 17*h + 452, -h = 4*a - 457. Calculate the remainder when 565 is divided by a.
109
Let m(x) = -x + 9. Let p(l) = -3*l**3 - 2*l - 1. Let r be (3/6)/((-3)/12). What is the remainder when p(r) is divided by m(-1)?
7
Let f(d) = -d**2 - 38*d - 166. Calculate the remainder when 48 is divided by f(-6).
22
Suppose 50*y = 60*y - 690. Calculate the remainder when y is divided by 19.
12
Let l(u) = 34 + 13*u**2 - 6*u**2 + 9*u**2 - 35. Calculate the remainder when 27 is divided by l(-1).
12
Suppose -5*t + 4*v + 197 = 0, 4*t - 157 = -v + 4*v. Let k = -46 + 76. Suppose -4*h + 10 = -k. Calculate the remainder when t is divided by h.
7
Let w = -463 + -1. What is the remainder when 2/6 + w/(-12) is divided by 6?
3
Suppose 19*b - 16*b - 147 = 0. Suppose 0 = 2*n + 27 - b. Calculate the remainder whe