c be (-6)/8 + (-93)/(-12). What is the remainder when 32 + 2 + 0/3 is divided by m(c)?
10
Let k be (-12)/(-1 - -4) - -8. Suppose 0 = 2*s + 3*w - 597, k*w = -5*s - 0*w + 1482. What is the remainder when s is divided by 27?
24
Let w = 37 + -35. Suppose 0 = -n - j + 4*j + 24, n + w*j = 9. Calculate the remainder when n is divided by 4.
3
Let v(b) = b**3 - 62*b**2 + 122*b + 67. What is the remainder when v(60) is divided by 29?
13
What is the remainder when (-81)/(-162) + (2958/4)/3 is divided by 31?
30
Let y(m) = 2*m**2 - 19*m + 60. What is the remainder when y(8) is divided by 5?
1
Let i(x) = 2*x**2 + 4*x - 1. Let y be i(-4). Suppose 2*u + 3*u = y. Suppose 0*j - u = -j. Calculate the remainder when 10 is divided by j.
1
Let f(h) = 7*h**2 + 14*h - 55. What is the remainder when 1399 is divided by f(3)?
49
Let j be (-3 - 1)/(-8)*10. Suppose j*w + 0*u = u + 78, -5*w - u + 82 = 0. What is the remainder when w is divided by 6?
4
Let k be -2*5*(0 - 1). Suppose 5*p = j - 36 + 7, 0 = -4*j + 4*p + 196. Suppose u - j = -4*s + 4*u, k = 5*u. Calculate the remainder when 42 is divided by s.
12
Let n(i) = -i**3 + 10*i**2 - 5*i - 48. Calculate the remainder when 118 is divided by n(8).
38
Suppose -646*u + 713*u = 6164. Let v = 11 + 9. What is the remainder when u is divided by v?
12
Let x(w) = 5*w**3 + 2*w - 1. Let b(k) be the third derivative of k**4/12 - 5*k**3/3 - 4*k**2. Let n be b(6). Calculate the remainder when x(n) is divided by 11.
10
Suppose -156 = -7*v - 44. Suppose 9*i = 4*i + 25, -3*i + 95 = 4*g. Calculate the remainder when g is divided by v.
4
Let x = 20 - 14. Let z(c) = 6*c**2 - 3*c + 3. Let i be z(2). Let p = i + x. Calculate the remainder when p is divided by 7.
6
Let f(z) = -2*z**3 - 27*z**2 - 2*z - 11. Let s(v) = v**3 + 13*v**2 + v + 5. Let w(r) = -2*f(r) - 5*s(r). What is the remainder when 23 is divided by w(-11)?
7
Let j = -29 + 97. Suppose 18 = 10*x - 4*x. Suppose -3*n = x*h - 63, 4*n - 75 = h - 2*h. What is the remainder when j is divided by n?
14
Let x be ((-4)/12)/((-4)/(-18))*-2. Suppose 1 = -p + 4*o, x*p + 11 = 6*p - 5*o. Calculate the remainder when 11 is divided by p.
4
Let f = 108 + -59. What is the remainder when f is divided by (102/4)/((-39)/(-26))?
15
Let n = -5 - -10. Suppose 4*o - 154 + 29 = -n*i, -22 = -2*i + 4*o. What is the remainder when 37 is divided by i?
16
Let z(o) = 766*o**2 - 89*o - 88. What is the remainder when z(-1) is divided by 128?
127
What is the remainder when 90 is divided by 2058/(-126)*(-6)/7?
6
Suppose 3*w = 15, 2*i + 2*w + 2*w - 152 = 0. Suppose -n = i + 1. Let y = n + 96. What is the remainder when 56 is divided by y?
27
Let o(g) = -3*g**2 + 3*g + 6. Let u be o(5). Let h = u - -110. Calculate the remainder when h is divided by 30.
26
Suppose -2*p - 3*z = 2*z - 109, -2*p = 3*z - 119. Let t be (49/4)/((-5)/(-10))*6. Calculate the remainder when p is divided by (t/(-14))/((-3)/10).
32
Suppose 4*s - 5*k - 13 - 53 = 0, -3*s - 4*k + 34 = 0. Let r(l) = -l**2 + 5*l - 1. Calculate the remainder when s is divided by r(3).
4
Let n(c) = -8*c - 7. Let s be n(-8). Suppose s = 5*k + 3*z, 0 = -2*k - 5*z + 42 - 4. What is the remainder when (24/(-5))/((-2)/10) is divided by k?
6
Suppose 0 = -5*k - 47 + 432. Suppose w - 6*o + 2*o = 20, 2*o = -4*w + 80. Calculate the remainder when k is divided by w.
17
Let n(m) = m + 6. Let q be n(4). Calculate the remainder when 19 is divided by (-2)/q - (-204)/20.
9
Let f be 2/(-9) + 760/18. What is the remainder when 49 is divided by 230/14 - (-24)/f?
15
Let n(q) = -q**3 + 7*q**2 - 2*q - 20. Let w = 53 - 47. Calculate the remainder when 45 is divided by n(w).
1
Suppose 0 = n + n - 22. Suppose l = 114 - 110. Calculate the remainder when n is divided by l.
3
Suppose 5*k - 2*w = 30, 7*k = 3*k - 2*w + 6. What is the remainder when k is divided by (-10)/(-6) - (-2)/6?
0
What is the remainder when 6372/18 - (2 - 7) is divided by 24?
23
Suppose 3 + 17 = 4*m. Suppose 0 = c - 3*j + 9, 0 = -2*c + 2*j - m*j - 27. Calculate the remainder when 47 is divided by (c*1)/(13/(-13)).
11
What is the remainder when 283 is divided by 81 + -2 + -6 - 2?
70
Suppose 3*d = -5*t + 119, 108 = 4*t - 7*d + 3*d. What is the remainder when 159 is divided by 11 + 3/(15/t)?
15
Suppose d - 596 + 161 = i, -1313 = -3*d + i. What is the remainder when d is divided by 39?
10
Let b = 555 + -427. What is the remainder when b is divided by 17?
9
Let y = -10 - -21. What is the remainder when ((-6)/10)/(8/(-240)) is divided by y?
7
Suppose -2*j = 4*m - 4*j - 118, -2*m - 4*j = -64. Calculate the remainder when 173 is divided by m.
23
Let h(l) = l**3 - 4*l**2 - 7*l - 4. Let v be (-20)/(-7) - (-9)/63. Calculate the remainder when h(6) is divided by 1 - -9 - (-2 + v).
8
Suppose 0 = 24*x - 170 - 118. Suppose 5*p + 2*n - 397 = 0, 340 = 3*p + p - 4*n. Calculate the remainder when p is divided by x.
9
Suppose 3*t - 57 = 5*s, 18*s + 90 = 4*t + 16*s. What is the remainder when 70 is divided by t?
22
Let f = 58 + -42. Let b(j) = j**3 + 2*j**2 - 3*j - 4. Let c be b(-3). What is the remainder when 42/9*(-66)/c is divided by f?
13
Let i(c) = c + 2. Let f be i(-5). What is the remainder when -3*(26/3)/(2/f) is divided by 8?
7
Let f = -90 + 130. Let q = f - 10. Calculate the remainder when 87 is divided by q.
27
Suppose 0 = 4*z - 59 + 3. What is the remainder when 24 is divided by z?
10
Let b = 101 + -23. Suppose -20*o + 17*o + 35 = -4*q, 10 = -2*o - 4*q. What is the remainder when b is divided by o?
3
Let k = -20 - -47. Let m(h) = 3*h**2 - 5*h + 4. Let z be m(1). Suppose 2*j + z*j = 0, -5*b + 4*j + 75 = 0. Calculate the remainder when k is divided by b.
12
Let g = 3 - -1. Let l(j) = 2*j**2 - 8*j. Let a be l(7). Let u = 47 - a. Calculate the remainder when u is divided by g.
1
Let m(f) = f**3 - f**2 + 2*f + 15. Let a = 31 + -23. Calculate the remainder when m(0) is divided by a.
7
Suppose 0 = 5*g - 216 - 54. Suppose -f - 53 = -g. Calculate the remainder when 1 is divided by f.
0
Let j = -1288 + 1316. What is the remainder when 335 is divided by j?
27
Suppose -108 = -4*r + 4*p + 144, -2*p = r - 66. What is the remainder when r is divided by 20?
4
Suppose 7*f = 12*f - 60. Let k(g) = -g**3 + 9*g**2 + 9*g - 8. Let q be k(9). Let a = q + -38. What is the remainder when a is divided by f?
11
Let w(r) be the third derivative of -r**4/12 - 11*r**3/3 - r**2. Let c(n) = -n**2 - 5*n + 19. Let s be c(-9). What is the remainder when w(s) is divided by 7?
5
Suppose 13 + 11 = -4*j. Let l = 14 - j. What is the remainder when 98 is divided by l?
18
Let s = 56 + -34. Let k be s + 1 - (9 - 6). Let m = k + -9. What is the remainder when 31 is divided by m?
9
Suppose 5*f - 117 = q, -3*f + 3*q + 66 = q. Calculate the remainder when 43 is divided by f.
19
Let o be 6/(-9)*15/2. Let y = 8 + o. Calculate the remainder when y - ((-236)/(-1))/(-4) is divided by 16.
14
Suppose 3*r + 9*r - 96 = 0. What is the remainder when 37 is divided by r?
5
Let l = -66 + 52. Let h = l - -24. Calculate the remainder when h is divided by 6.
4
Suppose 496 = -40*p + 48*p. What is the remainder when 121 is divided by p?
59
Suppose -7*k = -24 - 4. Calculate the remainder when (-12)/k*(-220)/24*2 is divided by 12.
7
Let q(v) = v**3 - 4*v**2 + 4*v. Let b be q(2). Suppose b*t = -7*t + 77. Let g(k) = -k**2 + 12*k - 9. What is the remainder when 7 is divided by g(t)?
1
Let u = -328 + 346. Suppose 3*p = 12 + 3. What is the remainder when u is divided by p?
3
Suppose 1 - 34 = -11*p. Calculate the remainder when p*(-111)/(-9)*1 - -1 is divided by 22.
16
Let x = 44 - 41. Let k(q) = -q**2 + 4*q + 5. What is the remainder when 69 is divided by k(x)?
5
Suppose -47*z + 48*z - 257 = 0. What is the remainder when z is divided by 20?
17
Suppose -2*i = 3*i + 40. Let t = i + 23. Let u = -43 + 70. What is the remainder when u is divided by t?
12
Suppose 5*z - 128 = -2*j, 3*z - 66 = 4*j - 374. Calculate the remainder when j is divided by 22/(-66) + (-102)/(-9).
8
Let a = 41 - 39. Suppose a*t = -0*t - 4*q + 70, -3*t + 105 = q. Calculate the remainder when 137 is divided by t.
32
Suppose 2*b = -2*z + 266, 0 = -2*b - 5*z + 4*z + 268. Suppose -b = w - 6*w. Calculate the remainder when w is divided by 7.
6
Let r(i) = -4*i. Let q(f) = 56*f**2 + 6*f + 5. Calculate the remainder when q(-1) is divided by r(-2).