4 + 64 = 0. What is the remainder when (-21)/j + 1 - (-984)/10 is divided by 25?
23
Suppose n - 10 = 4*z, -28 = -4*n + z + 27. Calculate the remainder when 53 is divided by n.
11
Let n(w) = w**3 - 10*w**2 + 10*w - 10. Let q be n(7). Let d = -25 - q. Suppose -3 = -y, 0 = 3*t - y - 0*y - 60. Calculate the remainder when d is divided by t.
20
Suppose -12 = -4*h, -2*n - 2*h - 8 = -48. What is the remainder when 58 is divided by n?
7
Suppose 32 = -4*d - 4*v + 6*v, 4*d = 5*v - 38. Let a = -1 - d. Suppose x - 14 = -3*l, -a*l - 90 = -5*x - l. Calculate the remainder when x is divided by 5.
2
Let s(j) = 5*j + 33. Let o be s(-6). Suppose -o = 9*u - 66. Suppose 64 = 2*p - 2*m, -m - 101 = -3*p + 3*m. Calculate the remainder when p is divided by u.
6
Suppose -7*n + 55 + 8 = 0. What is the remainder when n is divided by 6?
3
Let w(l) = -2*l**3 + 32*l**2 + 35*l - 4. Suppose 3*d - 135 = -21. Calculate the remainder when d is divided by w(17).
12
Let b(o) = 11*o**2 + o + 1. Let n be b(-1). Suppose 3*d - n - 34 = 0. Calculate the remainder when 59 is divided by d.
14
Let s(w) = -w**2 + 8*w - 12. Let q be s(6). Suppose q = -u - 0*u + 67. Calculate the remainder when u is divided by 17.
16
Suppose -23 = -2*f + s + 76, -4*f + 4*s + 204 = 0. Calculate the remainder when 319 is divided by f.
31
Let i(q) = q**3 - 3*q**2 - 5*q + 4. Let n be i(4). Suppose 2*l + 2*b = -2*b + 4, n = 5*b + 5. Calculate the remainder when 8 + (-5)/15*-6 is divided by l.
2
Let o = 37 + -13. Suppose -w = -2*w + o. Let u(s) = s**2 + 33*s + 59. Calculate the remainder when u(-34) is divided by w.
21
Let p = 130 + -120. Calculate the remainder when (-14)/1*(-5)/2 is divided by p.
5
Let x = -10 - -22. Let l(j) = 2*j**2 - 69*j + 69. Calculate the remainder when l(34) is divided by x.
11
Suppose -5*r + 548 = -r - 4*m, -5*r + 706 = 2*m. Let i = 203 - r. Calculate the remainder when i is divided by 22.
19
Let u = 793 - 105. Calculate the remainder when u is divided by 10.
8
Let s = 29 + -24. What is the remainder when (-969)/187 + (-2)/(-11) + 27 is divided by s?
2
Let x(y) = -44*y + 7. Let m(c) = 87*c - 15. Let l(k) = 6*m(k) + 13*x(k). What is the remainder when l(-1) is divided by 9?
6
Let i(l) = -26*l - 30. Calculate the remainder when i(-4) is divided by 21.
11
Let f = 8 + 19. Let y be 3/(15/(-20)) - -176. Let w = y - 66. Calculate the remainder when w is divided by f.
25
Suppose 3*g - 4*r - 19 = 8, -4*g = -2*r - 26. Suppose -3*a = -g*a + t + 12, 0 = 3*a - 5*t - 11. Let o = 196 - 185. What is the remainder when o is divided by a?
4
Let n(s) = -6*s + 40. Let r be n(21). Let u = -76 - r. Suppose p - 1 = 6. Calculate the remainder when u is divided by p.
3
Let t(q) = 16*q**2 - 5*q + 40. Calculate the remainder when t(3) is divided by 26.
13
Let m = -44 + 90. Suppose -2*v - 5*r + 42 = 0, -3*v - r - 63 = -6*v. Calculate the remainder when m is divided by v.
4
Suppose 0 = 3*l - l - 2*w + 170, 0 = -l - 5*w - 67. Let z = 100 + l. Let n = 1 - -6. What is the remainder when z is divided by n?
4
Let f(v) = -v**2 - 12*v - 11. Let q = -1453 + 1515. What is the remainder when q is divided by f(-8)?
20
What is the remainder when 157 is divided by ((-342)/(-95))/((-2)/(-10))?
13
Let m be 1/(-6) - (-2975)/102. Suppose m = i + 2*d, 0*d + 3*d = -6. What is the remainder when i is divided by 7?
5
Suppose 3*k - 5*b = 2*k + 21, 0 = -b + 1. Calculate the remainder when 125 is divided by k.
21
Suppose y = -4*t + t + 87, -4*t + 16 = 0. Let s(l) = -62*l**2 + 2*l + 1. Let o be s(-1). What is the remainder when y is divided by 5/((-15)/o) - 2?
18
Let d(b) = -b**3 - 10*b**2 - 9*b + 3. Let u be d(-9). Suppose 0*k + 12 = u*k. What is the remainder when 8 is divided by k?
0
Let p be (-3)/9 + (-179)/3. Suppose 2*v = v + 6. Calculate the remainder when (p/25)/(3/(-10)) is divided by v.
2
Suppose 2*u - 4*u = -3*y - 29, 5*y = -2*u + 53. Suppose 2 + 4 = w. Let x = w - -4. What is the remainder when u is divided by x?
9
Let b(c) be the second derivative of -c**5/20 + 7*c**4/12 + c**3/2 + 6*c. Let d = 22 - 14. Calculate the remainder when b(7) is divided by d.
5
Suppose -2*h - 3*o + 829 = 0, 0 = -3*h + 6*h - 3*o - 1206. Calculate the remainder when h is divided by 82.
79
Suppose 5*b + 3*l - 24 = 0, -7 = -5*b + 2*l + 27. Suppose 0 = 5*x - 2*x - 9. Calculate the remainder when b is divided by x.
0
Let n(v) = 40*v**2 - 4*v + 20. Let p(j) = 13*j**2 - j + 7. Let c(t) = 4*n(t) - 11*p(t). Calculate the remainder when 57 is divided by c(1).
12
Let r = -69 + 88. Calculate the remainder when 51 is divided by r.
13
Suppose -5*a = 4*q - 29, 5*q + 2*a - 5*a = 27. Suppose -413 = -q*l - l. Calculate the remainder when 174 is divided by l.
56
Let c = -27 + 47. Let o = 22 + -15. Calculate the remainder when c is divided by o.
6
Suppose 0*z = -z. Suppose 126 = 3*i - z*i. What is the remainder when i is divided by 10/(-25) - (-154)/10?
12
Suppose -3*r + 82 - 4 = 0. Let b = -2 + r. Calculate the remainder when b is divided by 13.
11
Let q = 33 + -32. Suppose 2*n = n + 1. What is the remainder when n is divided by q?
0
Let l(t) = -6*t + 3. Suppose a + 2 = 0, -2*n + 5*n - 3*a = -3. Let z be l(n). What is the remainder when 46 is divided by 12/(12/3) + z?
22
Let k(p) = -6*p**3 + 5*p**2 + 4*p - 10. What is the remainder when k(-6) is divided by 17?
14
Suppose -810 = -5*m + 5*j, 0*m + 2*j = -2*m + 336. Suppose -4*c + 115 = -m. Calculate the remainder when c is divided by 24.
22
Let r = 1 + -1. Suppose r = 3*c - 5*c + 10. Calculate the remainder when (-1 - -2)*(1 - -16) is divided by c.
2
Suppose -3*p = 2*w + 3*w - 707, 238 = p + 4*w. Suppose 0 = -4*j - p - 58. Calculate the remainder when 38 is divided by (-6)/14 + j/(-7).
8
Let v(d) = -d + 2*d + 167 - 166. What is the remainder when 19 is divided by v(10)?
8
Let i(d) be the first derivative of -12*d**2 - 38*d + 39. Calculate the remainder when i(-14) is divided by 23.
22
Suppose 0 = 14*j - 204 - 1336. What is the remainder when j is divided by 31?
17
Suppose -5*t + 463 = 3*f, -2*t - 74*f + 75*f + 183 = 0. What is the remainder when t is divided by 59?
33
Suppose 12*y - 33 = -213. Let x = 4 - y. Calculate the remainder when 52 is divided by x.
14
Let v be 2/(-5) - ((-28)/5)/(-1). What is the remainder when 64 is divided by (2/v)/((-10)/390)?
12
Calculate the remainder when ((-48)/72)/((-5)/((-3855)/(-2))) is divided by 65.
62
Let i = 9 + -3. Let o be 1 + 16 - 0/3. Suppose -o = -j - i. Calculate the remainder when 20 is divided by j.
9
Suppose -53 = 5*f + 47. Let q = -7 - f. What is the remainder when 37 is divided by q?
11
Let q(n) = -4*n**2 - 16*n - 13. Let l(f) = -f**2 - 4*f - 3. Let y(x) = -9*l(x) + 2*q(x). What is the remainder when y(6) is divided by 1/3 - 47/(-3)?
13
Let k = -27 - -30. Suppose 0*u - 3*u - k = 0, t + 4*u - 10 = 0. Calculate the remainder when 36 is divided by t.
8
Suppose 0 = -0*x + 2*x - 6. Suppose -x*k + 4 = d - 15, -5*k + 45 = -5*d. What is the remainder when k is divided by 3?
1
Calculate the remainder when 121 is divided by -1*(-2)/(-2 - 0) + 28.
13
Suppose a + 4*w + 3 + 0 = 0, 3*a = -3*w + 9. Let g = 176 + -342. What is the remainder when (-24)/(-60) - g/10 is divided by a?
2
Suppose 10*z - 5*z + 125 = 0. Let f = z + 62. What is the remainder when 182 is divided by f?
34
Let f = -1128 + 1294. What is the remainder when f is divided by 45?
31
Let t(v) = v**2 + 5*v + 4. Let a(f) = f + 14. Let q be a(0). Suppose -2*c - q = -0*c. What is the remainder when t(c) is divided by 7?
4
Suppose 0 = p - 4*c + 24 - 38, -112 = -5*p - c. Calculate the remainder when 2089 is divided by p.
21
Suppose -5*l + 68 = n + 2*n, 0 = -5*l + 20. What is the remainder when n is divided by 5 - ((-6 - (-91)/7) + -6)?
0
Suppose 3*x - 2 = 19. Suppose 3*l + j - 72 = -2*j, -5*l + 141 = -2*j. Calculate the remainder when l is divided by x.
6
Let i be (8/24 + 62/3)*2. Let d = 69 - i. Calculate the remainder when 77 is divided by d.
23
Let j = 475 + -251. Let o = -158 + j. What is the remainder when o is divided by 35?
31
Suppose -408*c + 405*c + 45 = 0. What is the remainder when 42 is divided by c?
12
Let g = 36 - 18. Let h(w) = -w**3 - 8*w**2 + 3*w - 3. Let k(z) = z**3 - 5*z**2 + 6*z - 9. Let t be k(3). Calculate the remainder when h(t) is divided by g.
15
Suppose 0 = -6*b + 283 - 37. What is the remainder wh