 - 3*q + 97, 8*y - 2*q - 77 = 5*y. What is the remainder when (14/5)/(10/y) is divided by 2?
1
Let n be 4/(-6)*83 + 4/12. Let d = 72 + n. Calculate the remainder when 83 is divided by d.
15
Suppose 3*a - 5*p - 20 = -2*a, a = -3*p + 24. What is the remainder when 185 is divided by a?
5
Suppose -211 = -87*f + 485. What is the remainder when 30 is divided by f?
6
Let o = -14 + 32. Let d(t) = -7*t + 53. Let a be d(7). Suppose 0 = a*g - 22 - o. What is the remainder when 18 is divided by g?
8
Let q(i) = -7*i + 136. Calculate the remainder when 416 is divided by q(14).
36
Let m = -169 - -182. Calculate the remainder when 102 is divided by m.
11
Suppose -3*h + 8 + 11 = 2*s, 4*s - 2 = -2*h. Suppose 0 = -k - 4 + 9. Let a = k + h. Calculate the remainder when 41 is divided by a.
13
Let u = 1748 - 1737. What is the remainder when 17 is divided by u?
6
Let s = 34 - 17. What is the remainder when (-13 - 2)*(8 + 0 + (-55)/5) is divided by s?
11
Let k = -5 - -13. Suppose -k = -x - 5. Calculate the remainder when 31 is divided by x.
1
Let p = 36 + -44. Let k(l) = l**2 + 9*l - 6. Calculate the remainder when k(-11) is divided by 1 + (-5)/(5/p).
7
Suppose 5*u = -5*q + 160, -q + 2*q + 22 = u. What is the remainder when 105 is divided by u?
24
Let g(t) = 5*t**3 - 3*t**2 - 2*t - 6. What is the remainder when g(4) is divided by 87?
84
Let w = 29 + -28. Calculate the remainder when (-3200)/(-32) - (-5 + w) is divided by 21.
20
Let l(a) = 49*a**2 - 12*a + 21. What is the remainder when l(2) is divided by 50?
43
Let p = -34 + 54. Let c(m) = -2*m - 10. Let d(s) = -4*s - 21. Let l(v) = 13*c(v) - 6*d(v). What is the remainder when p is divided by l(-8)?
8
Suppose -3*f = 32 + 19. Let a = -3 - f. Calculate the remainder when a is divided by (32/(-4))/(-1 - 0).
6
What is the remainder when (-81)/(-189) + (-1842)/(-14) is divided by 27?
24
Let a = -62 - -72. Let d = -13 + 8. Let i = a + d. Calculate the remainder when 12 is divided by i.
2
Let w = 3563 - 2432. Calculate the remainder when 65 is divided by 2/(-5) - w/(-65).
14
Suppose 2*f - 4*j - 118 = 0, -4*j - 60 = 3*f - 257. What is the remainder when f is divided by 48?
15
Suppose 7*i = 2*i + 170. Let x(f) = -7*f - 5. Let j be x(-3). What is the remainder when i is divided by -58*(-2)/j + (-6)/24?
6
Suppose -5*k - 3*u + 2984 = 0, -u - 1250 = -2*k - 52. Calculate the remainder when k is divided by 20.
18
Suppose -2*r + 1 + 5 = 0. Let a(u) = -u**2 - 9*u - 15. Let g be a(-7). Let v(j) = -2*j**3 - j**2 - 4*j - 3. What is the remainder when r is divided by v(g)?
1
Let y = 53 - 19. What is the remainder when ((-48)/(-42))/(6/21) - -59 is divided by y?
29
Suppose -14 - 46 = 4*p. Let o = 32 + p. What is the remainder when 79 is divided by o?
11
Let u be 2/3 + (-68)/(-6). Let v = u - 6. Calculate the remainder when 26 is divided by v.
2
Suppose -6*m + 300 = -0*m. Let a = 89 - m. Suppose 0 = 4*r - a - 17. What is the remainder when 52 is divided by r?
10
What is the remainder when (4 + -8 + 120)/1 is divided by 13?
12
Let p be 5/(30/(-4)) - (-80)/(-15). Let c(n) = n**3 + 3*n**2 - 4*n - 3. What is the remainder when c(-3) is divided by 9/p*-2 + 3?
3
Let w be (-1)/(-4*2/716)*8. Suppose -12*r + w = 92. Calculate the remainder when r is divided by 15.
7
Suppose -284 = -4*c + 2*x, -10 = -c + x + 62. Calculate the remainder when c is divided by 15.
10
What is the remainder when 230 is divided by (28/(-42))/(6/(-261))?
27
Let v be (-39)/7 + 6/(-14). Let o(r) = -r**2 - 12*r + 2. Let z(a) = 9*a**2 + a. Calculate the remainder when o(v) is divided by z(1).
8
What is the remainder when 497 is divided by -7 - (10 + 3 - 42)?
13
Suppose 0 = s - 1 - 32. Suppose -7*y + 131 = s. What is the remainder when 110 is divided by y?
12
Let k(z) = 310*z + z**2 - 6 - 315*z + 3 - 2*z**2. Suppose -3*m + 0 + 18 = 0. Calculate the remainder when m is divided by k(-3).
0
Suppose -2*p - 558 = -2*k, 851 = 4*k - p - 259. What is the remainder when k is divided by 56?
53
Let m = 7 - -8. Let y = m - -11. Let h(q) = -q**3 - 16*q**2 + 13*q + 33. Calculate the remainder when h(-17) is divided by y.
23
Suppose -2*y - 40 = -2*z - 0*y, 0 = -z + 2*y + 15. Calculate the remainder when z is divided by 13.
12
Let z = 4 - -151. What is the remainder when z is divided by 53?
49
Let o(m) = 1. Let t(z) = 8*z + 12. Let b(l) = -5*o(l) - t(l). What is the remainder when b(-7) is divided by 21?
18
Let n be (-1 + 0)/1*-7 + -4. Suppose -14*p = -n*p - 407. Let o(f) = 19*f**2 - 3*f + 3. What is the remainder when o(2) is divided by p?
36
Suppose -3*h = -5*s + 17, 0*s - 4*s + 15 = -h. Let g be -92*(0 + 4/(-16)). Suppose -1 = -4*v + g. Calculate the remainder when v is divided by s.
2
Suppose 0 = -2*d + 3*d - 31. Suppose -5*v + 16 = -9*v, 3*v - 33 = -5*y. Calculate the remainder when d is divided by y.
4
Let k(p) = 15*p**2 - 9*p + 20. What is the remainder when k(3) is divided by 15?
8
Let b be 115/25 - (-2)/5. Suppose 12 = 4*p, -2*v - 2*p = -b*p - 99. What is the remainder when v is divided by (-220)/(-16) + (-4)/(-16)?
12
Let a(d) = -7*d**2 + 67*d - 29. Calculate the remainder when 972 is divided by a(9).
6
Let i(n) = -n**2 + 25*n + 190. What is the remainder when 12 is divided by i(31)?
0
Let j(d) = 2*d**2 - 4*d - 7. Suppose -a = 5*n + 15, -5*a + 2*a + 3*n + 27 = 0. Calculate the remainder when -9*(-1 + (-8)/2) is divided by j(a).
22
Let r(z) = 9*z + 26. Let a be r(-3). Let u = a - -65. Calculate the remainder when u is divided by 13.
12
Let i(c) = 30*c - 15. Let s be i(18). Let d be (-4)/7 - s/(-147). Suppose d*l - l - 62 = 0. What is the remainder when l is divided by 8?
7
Let m = -15 - -25. Suppose 846 = -79*u + 97*u. What is the remainder when u is divided by m?
7
Suppose 0 = -5*r + 41 + 94. Suppose 0 = 4*h - 8, -5*h = -5*i + 60 + 10. What is the remainder when r is divided by i?
11
Let l(m) be the third derivative of -13*m**4/12 + m**3/2 + 14*m**2. What is the remainder when l(-3) is divided by 21?
18
Let j be (8/2)/(0 + 1). Suppose j = f, -f + 14 = 3*v + 2*v. Suppose 60 = v*d - 10. Calculate the remainder when d is divided by 18.
17
Let k(r) = -41*r + 36 + 7*r - 41. What is the remainder when 55 is divided by k(-1)?
26
Suppose j - 4*p = 104, 215 = 2*j - 5*p + 19. Let c(n) = 2*n**3 + 9*n**2 - 66*n - 249. Calculate the remainder when j is divided by c(-4).
26
Let u = -16 + 26. Suppose -n - 8 + u = 0. Calculate the remainder when (-4)/(-2*n) - -23 is divided by 13.
11
Suppose -3*n + 39 + 1 = 2*x, -x = 4*n - 20. Suppose 6*q + 2*u = 3*q - 289, 0 = -5*q + 4*u - 511. Let c = -22 - q. What is the remainder when c is divided by x?
17
Suppose -4*y = -i - 160 - 254, 3*y = -5*i + 322. Calculate the remainder when 1038 is divided by y.
102
Let q = -303 + 379. What is the remainder when q is divided by 11?
10
Let f = 23 + -18. Suppose x - f*x = -124. What is the remainder when x is divided by 17?
14
Suppose 7*m - 23 = 6*m. Let o = m - 12. What is the remainder when 41 is divided by o?
8
Let t(r) = 2*r - 8. Let v be t(6). Let l be 0 + v - (-111 + 2). Suppose 0 = 2*q + 31 - l. Calculate the remainder when q is divided by 14.
13
Let p(n) = -43*n - 121. What is the remainder when p(-6) is divided by 18?
11
Let x be -2*-14*(-3)/(-12). Suppose 0 = 22*h - 29*h + 21. What is the remainder when x/((0 + 2)/2) is divided by h?
1
Let x(o) = 3*o + 57. Let c be x(-18). Suppose 4*l + c*m = 32, 21 = -l + 6*l - m. Calculate the remainder when 87 is divided by l.
2
Let h(b) = 2*b - 3. Let m be h(3). Suppose m*v - 6 = -0. Let k(z) = -z**3 + 6*z**2 + 6*z + 10. Calculate the remainder when k(7) is divided by v.
1
Suppose -2*z + 1 + 6 = -h, -4*z - 64 = 4*h. Let f = 0 + h. Calculate the remainder when (-1360)/(-52) - (-2)/f is divided by 4.
2
Suppose -173 - 103 = -6*k. Calculate the remainder when k is divided by 31.
15
Let w = -272 + 333. Suppose 3*x - 57 - 36 = 0. Calculate the remainder when w is divided by x.
30
Let q = 20 - 19. Let t be q*(1 + (-6)/(-3)). Suppose -5*x - t*m - 32 = -10*x, 3*m + 24 = 3*x. What is the remainder when 5 is divided by x?
1
Suppose 0 = -2*k - 3*t + 80, 7*k - 2*k - 200 = -3*t. Suppose 0 = -3*o - 2*o + k. What is the remainder when 13 is divided by o?
5
Let w = -9 - -6. Let h = w - -15. What is the remainder when (-4)/h - 444/(-9) is divided by 13?
10
Let d be 4/(-4)*-4 - -6. Let l b