).
24
Let b(u) = 11*u**3 - 3*u**2. Suppose -27 = -5*r - 5*m - 2, -4*r + 5 = -m. Calculate the remainder when b(r) is divided by 7.
6
Let n = 804 - 793. Let k(h) = -h**2 - h - 1. Let i(y) = 2*y**2 + 12*y + 22. Let x(p) = -i(p) - 3*k(p). What is the remainder when 4 is divided by x(n)?
1
Suppose 11 = -2*d - 6*x + x, 3*d - 3*x = 36. Suppose -3*y + 5 = -d. Let z = -2071 - -2076. Calculate the remainder when z is divided by y.
1
Let g = 4256 - 3641. What is the remainder when g is divided by 55?
10
Let c be 197 + ((-4)/(-1) - 3)*-2. Suppose 5 = -5*o + c. Calculate the remainder when o is divided by 15.
8
Suppose 28*u = -498 + 638. What is the remainder when (-40 + 4)*(-4)/6 is divided by u?
4
Let m(t) = 7*t - 254. Let c be m(37). Suppose -5*y + 281 = -l, c*y + l - 54 = 235. What is the remainder when y is divided by 21?
15
Suppose t + 1 = 0, -5*t - 82 + 22 = -5*m. Let c(k) = -k**2 - 2*k + 196. What is the remainder when 153 is divided by c(m)?
47
Suppose 0 = p - 1548 + 1504. What is the remainder when 351 is divided by p?
43
Suppose 90565 = -61*p + 759613. What is the remainder when p is divided by 69?
66
Suppose -7*s - 36 = -3*s. Let b be -9*(1 - 2)*(-12)/s. Calculate the remainder when 30 is divided by 34/(8/(-3)*(-9)/b).
13
Suppose 2*q + 537 = 5*c, -35*c = -36*c - 3*q + 104. Calculate the remainder when 135 is divided by c.
28
Let q(n) = 9*n + 288. Let t be q(-37). Let a = t + 137. Calculate the remainder when a is divided by 34.
24
Let c be (-6)/(-9) + 298/(-6). Let b = 49 + c. Suppose 2*g - 7*g + 75 = b. What is the remainder when 102 is divided by g?
12
Let d(a) = 282*a + 1. Let r be d(1). Suppose 0 = -18*i - r + 769. Calculate the remainder when 186 is divided by i.
24
Let r(l) = 200*l + 49. What is the remainder when 103 is divided by r(0)?
5
Let s be (667/(-69))/(2 + 14/(-6)). Suppose 3*i + s - 232 = -w, -2*i + 141 = -5*w. Calculate the remainder when 201 is divided by i.
65
Let m(x) = -x**3 - 4*x**2 + 16*x - 22. What is the remainder when m(-7) is divided by 3?
1
Let m(n) = n + 461. What is the remainder when m(18) is divided by 38?
23
Let z be -1*(-3 + 10/(-5)). Suppose -32 = -9*g + z*g. What is the remainder when g is divided by 6?
2
Let y(r) = -r**2 - r - 14. Let q be y(0). Suppose -4*t + 4*w - 11020 = 0, w - 298 = -294. Calculate the remainder when (-1 + 3)/(3*q/t) is divided by 44.
43
Let t be (-1 + -4)/((-20)/8). Suppose 3*m = t*y + 177, 4*y + y = -5*m + 295. Calculate the remainder when m is divided by 5.
4
Let y = 18 - 18. Suppose y = -s + 3, -57 = -5*a - 2*s + 3*s. Suppose 17*n = 15*n + 234. Calculate the remainder when n is divided by a.
9
Suppose 4*a = 2*o - 1022, 0 = -55*a + 53*a + 4. What is the remainder when o is divided by 134?
113
Let h = -4225 - -4260. What is the remainder when 232 is divided by h?
22
Calculate the remainder when 1454 is divided by (16 + 2)/(-1 + -1) - -156.
131
Let k(j) = 4*j - 20 - 19 - 11 + 9*j**2 + 55. Calculate the remainder when k(-3) is divided by 31.
12
Let u = -373 - -366. What is the remainder when 200 is divided by u/((-140)/1065) - (-18)/24?
38
What is the remainder when 7316 is divided by 91/36 + (-2)/(-8) - (-5836)/26262?
2
Let r = -5472 - -5946. What is the remainder when r is divided by 164?
146
Let r be (1/(-1) + -2)*(-2 + 1). Suppose -r*h + 5*i + 45 = 2*h, 2*h + 3*i - 13 = 0. What is the remainder when 87/h - (-4)/32 is divided by 6?
5
Suppose 4*s - 252 + 28 = 0. Calculate the remainder when (4/(-33))/(-2) - -245*(-30401)/(-16665) is divided by s.
55
Suppose 383*s = 1092*s - 243896. Calculate the remainder when s is divided by 12.
8
Suppose 99*z - 85*z = 11480. Let c = z - 748. What is the remainder when 501 is divided by c?
69
Let i(s) = 24*s**2 + 3*s + 14. Let h be i(-4). Suppose -475 = -7*n + h. What is the remainder when n is divided by 9?
6
Suppose 4*o = -20 + 68. Let a(z) = z**2 - 10*z - 11. Calculate the remainder when 25 is divided by a(o).
12
Let c be 9/27 + (-1240)/(-6). Let g = c - 164. Calculate the remainder when 66 is divided by g.
23
Suppose -765 = -3*u + 3*m, m - 1251 = -43*u + 38*u. Calculate the remainder when 26604 is divided by u.
249
Let o(i) = -35*i - 1657. Calculate the remainder when 79 is divided by o(-48).
10
Let t be (-363)/22 - (5 + (-55)/10). Suppose 2*s - 60 = b - 5*b, 2*s = -3*b + 47. Calculate the remainder when 43 is divided by b + 0 + t/4.
7
Suppose x = 59 + 47. Suppose -4*z + 63 = y, -5069*y - z = -5065*y - 117. What is the remainder when x is divided by y?
25
Suppose 0 = -5*c + 5*b, 2*c - 3*b + 9 = 8. Suppose 0 = 5*q + c - 71. Calculate the remainder when 23 is divided by q.
9
Suppose 41 = 11*w + 8. Suppose -65 = -5*x - 3*t, -33 = 18*x - 21*x - w*t. Calculate the remainder when 34 is divided by x.
2
Let n(s) = -13*s + 21. Let i be n(10). Let d = 169 + i. Suppose 4*l - 2*p = 68, -3*p = -4*l + p + d. Calculate the remainder when l is divided by 3.
1
Suppose 2*p = p + 35. Let w be p/2*(-128)/(-16). Suppose -9*d - d = -w. Calculate the remainder when d is divided by 9.
5
Suppose -5*g + 2296 + 54 = a, 2*g - 5*a = 913. Suppose -3*b - 2*f + 6*f + g = 0, -b - 4*f + 151 = 0. What is the remainder when b is divided by 52?
51
Let z(i) = i**3 + 13*i**2 + 10*i - 26. Let f = 31 + -43. Let p be z(f). What is the remainder when (3 - 50/(-6))/(p/(-6)) is divided by 5?
4
Let j = 10 + 5. Let g be (-5)/(-65) - 2508/156. Calculate the remainder when 75/3 - (15 + g) is divided by j.
11
Let k(b) = b**2 + 8*b + 4. Suppose 30 = -0*d - 3*d. Suppose -7 = -6*l + 5*l. What is the remainder when k(d) is divided by l?
3
Calculate the remainder when ((-44412)/(-15))/(36/90) + (18 - 15) is divided by 57.
52
Suppose 17*j = 614 + 1698. Suppose -j*s = -139*s + 39. What is the remainder when 69 is divided by s?
4
Let o be (-7)/2*60/(-42). Suppose -71 = -2*g + o*c + 50, 4*g + 2*c - 302 = 0. What is the remainder when 290 is divided by g?
71
Suppose 53 = -4*f - 103. Let c = f + 55. What is the remainder when 48 is divided by 0 - (3 - c) - 3?
8
Suppose 15*b - 40 = 7*b. Suppose 0 = b*x - 22 - 8. Let j(l) = l**3 - 7*l**2 + 3*l + 20. Calculate the remainder when 13 is divided by j(x).
1
What is the remainder when (-12 + (34489/(-130) - 7))*-10 is divided by 9?
8
Suppose 20 = 51*h - 46*h. Suppose -h*t + 9*t = 735. Suppose 0 = n - z - 37, -3*n + z + t = 36. Calculate the remainder when n is divided by 8.
5
Let a(m) = 120*m + 41. Let t be a(2). Suppose -t + 123 = -2*y. Calculate the remainder when y is divided by 8.
7
Let p be (0 - -2) + (2 - 3). Suppose -4*z = 3*w + 12, -3*z + w + p = -3. Suppose j = -z + 24. Calculate the remainder when 92 is divided by j.
20
Suppose -2*a + 6 = 0, -7*x + 5*x = 5*a - 2205. Calculate the remainder when x is divided by 183.
180
Calculate the remainder when 487 is divided by -17 + 10 - ((59 - -4)*-1 + -1).
31
Suppose -t - 3*t = -52. Suppose -528 = -t*g + 5*g. Calculate the remainder when 329 is divided by g.
65
Let l = -15990 - -16141. Calculate the remainder when l is divided by 2 + -4 + 53 - 0.
49
Let m(k) = 14*k**2 - 107*k + 733. What is the remainder when m(7) is divided by 170?
160
Let f(l) = 22*l**3 - 8*l**2. Let z be f(-3). Let x = -511 - z. Calculate the remainder when x is divided by 53.
49
Suppose 0 = -18*f - 509 + 2309. Calculate the remainder when f is divided by (-1548)/(-45) - (-2)/(-5).
32
Suppose 0 = 31*w + 51*w - 5*w - 2079. Calculate the remainder when 122 is divided by w.
14
Let k be (-1028)/(-24)*4 - (-2)/(-6). Let n = 272 - k. Calculate the remainder when n is divided by 13.
10
Suppose -2*n = -8, 586 = 3*q + 2*n - 187. What is the remainder when q is divided by 41?
9
Let i = 340 - 337. What is the remainder when 397/5 + 96/(-240) is divided by i?
1
Let h(o) = -o**2 - 5*o + 1. Let u be h(-4). Suppose -u*p = -12*p + 217. What is the remainder when p is divided by 17?
14
Calculate the remainder when 548 is divided by -7 - (3/5 + (-2212)/70).
20
Suppose -t = t - 4, 3*c + 67 = 2*t. Let w be 14/c*(-9)/2. Suppose -w*s - 70 = -8*s. What is the remainder when 53 is divided by s?
11
Suppose 50*x - 52*x = -3*t - 93, x + 7*t = 21. Calculate the remainder when 20156 is divided by x.
38
Let b = 22 - -4. Suppose -86*v + 69*v + 68 = 0. Suppose 22*c - 24*c = -v*k - 172, c - k = 81. Calculate the remainder when c is divided by b.
24
Let h be (0/2 - -1) + 5