4, 3*q - j = -2*t. Let n = -13 + q. What is the remainder when 47 is divided by n?
7
Let k(i) = 6*i + 7. Let b be k(8). Suppose -3*u + 187 = b. Calculate the remainder when u is divided by 13.
5
Calculate the remainder when (-6)/(-3) + -3 + 303 is divided by (-342)/(-10) - (30 + (-2533)/85).
30
Let q(f) = 3*f**2 + 247*f + 1247. Calculate the remainder when q(-5) is divided by 30.
27
Suppose 5*x + 20*n - 22*n - 121 = 0, -77 = -4*x - 5*n. Suppose -z + 55 = z + i, 0 = -5*z - 5*i + 130. What is the remainder when z is divided by x?
6
Suppose 0 = -t - g - 3*g + 926, 3*t = g + 2791. Suppose 0 = -5*c + s + t, 5*s - 609 = -4*c + 106. Calculate the remainder when c is divided by 39.
29
Suppose -7*m + 12*m - o + 60 = 0, 27 = -2*m + o. Calculate the remainder when 160 is divided by -23*(10 + m)*(2 - 1).
22
Suppose 548 = -2*r + 2*q, -32*q + 27*q = 2*r + 534. Let j = r - -309. Calculate the remainder when 403 is divided by j.
33
Let p = -2348 - -2370. Let c = 36 + -70. Let m = -22 - c. Calculate the remainder when p is divided by m.
10
Let t(h) = h**2 - 74*h - 421. Calculate the remainder when 3059 is divided by t(-6).
50
Let x = -3338 + 3393. Calculate the remainder when 173 is divided by x.
8
Let q(d) = d**3 - 2*d**2 + 456*d - 4197. What is the remainder when q(9) is divided by 144?
42
Suppose 0 = 3*d - 26 - 37. Suppose 3*g = -415*u + 410*u + 71, u + 137 = 5*g. Calculate the remainder when g is divided by d.
6
Suppose 3*k - 75 = -4*q, 0 = 3*q + q. Suppose 0 = -6*c + 265 - k. Suppose 4*g = -3*v + 189, 2*v + c = 4*g + 186. What is the remainder when v is divided by 35?
32
Let v(j) = -13*j - 96. Let l be v(-13). Let y = 80 + l. Let k(g) = -g**3 + 5*g**2 + 5*g + 6. Calculate the remainder when y is divided by k(5).
29
Let d(i) = i**2 + 14*i - 14. Let o be d(-16). Let a = o + -16. Suppose -2*c + a*x + 202 = 3*c, 2*c + x - 88 = 0. What is the remainder when 123 is divided by c?
39
Calculate the remainder when 1226 is divided by (-1 - -2)/(((-2522)/(-780))/97).
26
Let n = 30 - 8. Suppose 3706 = 24*i + 34. What is the remainder when i is divided by n?
21
Suppose 4234*m + 9802 = 4236*m. What is the remainder when m is divided by 1631?
8
Suppose -2*m - 4 = -4*m. Suppose -3*q - 3*h + 183 = 0, m*h + 5 = -3*h. Suppose 6*l - q = 3*l - 4*w, -10 = -5*w. What is the remainder when 68 is divided by l?
14
Let y = -6221 + 7493. What is the remainder when y is divided by 5?
2
Let u = 102 - 53. Let w = -35 + u. Let i = -3802 + 3842. Calculate the remainder when i is divided by w.
12
Let n = -59 - -45. What is the remainder when 96 is divided by (8/(-28) - 60/n) + 22?
18
Let c = -5017 - -5032. What is the remainder when 718 is divided by c?
13
Let x = -2022 - -4893. What is the remainder when x is divided by 4?
3
Suppose 3*g - 7532 = -7*g + 208. Calculate the remainder when g is divided by 112.
102
Let l = -6625 - -6644. Calculate the remainder when 467 is divided by l.
11
Suppose 3*j + 3 - 12 = 0, -2*j = h + 288. Let m = 305 + h. Calculate the remainder when 31 is divided by m.
9
Let l(v) be the second derivative of v**3 - 8*v**2 - 19*v. Let q be l(3). Suppose 79 = q*m + 31. Calculate the remainder when 95 is divided by m.
23
Let i be 1*(-21)/7 - 23. Let k = 66 + i. Calculate the remainder when 79 is divided by k.
39
Let t(j) = 178*j + 454. Let w be 5348/(-35) + (-2)/10. What is the remainder when t(-2) is divided by (3 - 0)/((-9)/w)?
47
Let o(f) = -48*f - 1351. What is the remainder when 16284 is divided by o(-30)?
86
What is the remainder when 424 is divided by (88/(-6))/(4/(-54))?
28
Let x be 662/5 + (-22)/55. Suppose 0*i + x = 4*i. What is the remainder when i is divided by ((-6)/10)/((-40)/600)?
6
Let h(y) = 40*y**2 - 14*y + 13. Let l be h(1). Suppose -105 + l = -11*x. Calculate the remainder when 287 is divided by x.
5
Let c = 34 + -16. Let w be (-10*(-7)/56)/((-2)/(-24)). Suppose 2*g + w - 31 = 0. What is the remainder when c is divided by g?
2
Let t(j) = j**2 + j - 17. Let k be t(4). What is the remainder when 45 is divided by ((-6)/(-4))/(k/42)?
3
Let m be (-1)/6 + (-111)/(-18). What is the remainder when 46 is divided by 19 + -3*(-12)/m?
21
Suppose -2925 = -2*m - 23*m. What is the remainder when m is divided by 2/3 - 61/(-3)?
12
Suppose 149*d - 171*d + 7854 = 0. Suppose 2*l + 5*i - 113 = -0*l, 0 = 2*i + 10. Suppose -d + l = -8*y. What is the remainder when 143 is divided by y?
35
Let t = -4 - -25. Calculate the remainder when 0 + 1*(5 + 2) - (-559 + 275) is divided by t.
18
Let y(v) = -v**2 - 4*v - 1. Let a be y(-1). Suppose -41 = -k - k - 3*b, -k + 22 = a*b. Let z = 96 + -66. What is the remainder when z is divided by k?
14
Let p(r) = -63*r - 342. What is the remainder when 3203 is divided by p(-6)?
35
Let g(l) = l**2 + 26*l + 60. Let v = 653 + -573. Calculate the remainder when v is divided by g(-24).
8
Suppose 244 = 4*n + 4*z, -8*n + 7*n + 4*z = -96. Calculate the remainder when 224 is divided by n.
20
What is the remainder when 2916 is divided by ((-4)/(-10))/((-344)/(-157380))?
171
Suppose 0 = 3*w + a - 5825, 21 + 4 = 5*a. Calculate the remainder when w is divided by 72.
68
Let x be (-8)/(-52) - (-5856)/(-39). Let r = x + 171. Calculate the remainder when 57 is divided by r.
15
Let h(p) = 6*p**3 - 2*p**2 - 2*p + 1. Let o be (-622)/(-18) + 12/27. Suppose -8*a + o = -a. Calculate the remainder when h(2) is divided by a.
2
Let q(k) = 19*k + 262. Suppose -6*d + 2*d + 68 = 0. What is the remainder when q(-5) is divided by d?
14
Let a(z) = 14*z - 142. Let g be a(16). Suppose g*i + 36 = 91*i. Calculate the remainder when 25 is divided by i.
1
Suppose 5*v - 215 = 5*a, -5*a - 203 = -v + 8. Let y = a + 47. Suppose 4*k = 78 + 30. What is the remainder when k is divided by y?
2
Let h be (-40)/16*-2*1. Suppose 2*m = 2*x + 28, -4*x - 25 + h = 0. What is the remainder when 9 - (2/10 - ((-5022)/(-90))/9) is divided by m?
6
Let l = -449 + 464. Let i(n) = 11*n + 1. Calculate the remainder when i(8) is divided by l.
14
Let j(y) = 290 - 57*y + 307 - 581. What is the remainder when j(-1) is divided by 15?
13
Let c(y) = -56*y + 5488. What is the remainder when c(93) is divided by 6?
4
Let i be (-2)/(-7)*315/18. Suppose -4*p + p + 74 = -i*v, p - v - 24 = 0. What is the remainder when 110 is divided by p?
18
Suppose -290*v - 13801 = -38161. Calculate the remainder when 1669 is divided by v.
73
Suppose 2*a + 206 = 190. Let h(x) = 30*x + 253. What is the remainder when 440 is divided by h(a)?
11
Suppose -2*a - 101 = -3*v, -2*a = -23 + 37. Let d = 198 + -57. What is the remainder when d is divided by v?
25
Let y(q) = 2*q**2 - 112*q - 530. Calculate the remainder when 246 is divided by y(-5).
6
Let n be (-339)/(-15) + 20/50. What is the remainder when ((-1)/2)/(n/(-1656))*1 is divided by 24?
12
Suppose 0 = -35*g + 33*g - 210. Let v = 33 - -26. What is the remainder when v is divided by 6/(-10) + (-1638)/g?
14
Suppose 0 = -4*l + m + 68, -13*m + 38 = l - 8*m. What is the remainder when (-4)/14 - 746/(-14) is divided by l?
17
Let q = -374 + 477. What is the remainder when q is divided by 47?
9
Suppose 10840 = 3*b + 2*o, -4*b + 2*o + 14454 = 4*o. Calculate the remainder when (2/(-4))/(8 - 28925/b) is divided by 20.
19
Suppose 0*i = -x - 3*i + 16, 0 = -5*x + 2*i + 46. Calculate the remainder when ((-48)/45)/8 + (-814)/(-30) is divided by x.
7
Let p(l) = 3*l**2 + 6*l. What is the remainder when p(6) is divided by 0 + -10 - (-22 + -28)?
24
Suppose 1796 + 8580 = 652*s - 3968. Suppose 0*m - 149 = -m. Calculate the remainder when m is divided by s.
17
What is the remainder when 14 + (-498776 - 12)/(-19) is divided by 71?
67
Suppose 0 = 111*b - 43*b + 8189 - 23013. What is the remainder when 1301 is divided by b?
211
Suppose -a + 0*a = -16. Suppose -22*j = -3578 - 8588. Suppose 1038*o - j = 1031*o. What is the remainder when o is divided by a?
15
Suppose -4*h = -3*h - 4*w - 228, 229 = h - 5*w. Suppose -4*f - 73 = -v - h, 77 = 2*f + v. What is the remainder when f is divided by 17?
4
Let u(m) = m - 9. Let z be u(12). What is the remainder when (-28 + z)/(-5)*5 is divided by (-4)/1 + (20 - 7)?
7
Let d(j) = -3*j - 10. Suppose 0 = 5*f - 5*g - 5, -2*f - 3*g - 12 = 11. Let r be d(f). Calculate the remainder when r - (-22)/(-1 - -3) is divided by 6.
1
Suppose 5*j = 4*j - 1, 4*j = 5*m - 79. Let i = -29