ainder when 12022 is divided by m.
10
Let y(m) = -m**3 + 39*m**2 - 40*m + 94. What is the remainder when 552 is divided by y(38)?
12
Let p(d) = -2*d**2 - 32*d + 105. Let h(s) = s - 15. Let v(q) = -q + 7. Let c(z) = -2*h(z) - 5*v(z). What is the remainder when p(-18) is divided by c(4)?
5
Let q(o) be the first derivative of -4*o - o**2 + 6*o**2 + o**2 - 38. What is the remainder when 188 is divided by q(3)?
28
Let o = 157 - 191. Let t = o - -71. What is the remainder when t is divided by 14?
9
Suppose 0 = 2*u + 4 - 6, 0 = -m - 2*u + 13. Let q(t) = 4*t**2 - 118*t - 626. What is the remainder when q(-5) is divided by m?
9
Let r(i) = -3*i**2 - 3*i + 105. Let x be r(13). Let y = x + 564. What is the remainder when y is divided by 53?
17
Let k be ((-564)/2)/(9 - 1705/187). Suppose -k*x - 74 = -2399*x. Suppose 6*n - 63 = 3*n. Calculate the remainder when x is divided by n.
16
Calculate the remainder when 2441 is divided by -13 + 0 + 56 - -4.
44
Suppose -11*f + 3199 = -1729. Calculate the remainder when f is divided by 4.
0
Suppose n = 6*c - c + 163, n + 4*c - 145 = 0. Suppose 0 = -5*d - 4*d + n. What is the remainder when 112 is divided by d?
10
Suppose -3177 = -62*u + 419. Suppose -4*f = -0*f + 5*s - 125, 4*s + 116 = 4*f. What is the remainder when u is divided by f?
28
What is the remainder when (-4558)/(-10) - ((-6)/15)/(2 + 0) is divided by 42?
36
Suppose -o + 2*v + 203 = 0, 0 = -4*o + 119*v - 123*v + 728. What is the remainder when o is divided by 96?
93
Suppose -9 + 3 = -h. Suppose 5*n - 607 = -482. What is the remainder when (-2)/6 - (-428)/h is divided by n?
21
Let g(m) = 20*m + 261. Let d be g(-13). Calculate the remainder when 204 is divided by (d - 6/2) + 88/2.
36
Let s be 4/5 + (-171)/(-180)*-4. Let g(v) = 4*v**2 - 6*v - 25. Suppose 5*r + 265 = 5*j, 62 = j - 0*r + 2*r. Calculate the remainder when j is divided by g(s).
27
Let s(m) = -2*m**3 + 8*m**2 + 2*m - 5. Let x = -285 + 462. What is the remainder when x is divided by s(4)?
0
Suppose 3*o + 84 = 6*o. Calculate the remainder when o is divided by 1 + (13 - -6) + -8.
4
Suppose 3*v + 3*t = 42, -17 + 47 = v + 5*t. What is the remainder when 707 is divided by v?
7
Let k be ((-10)/35 - (-6)/21) + 0. Suppose k = 6*t - 4*t + 6, 5*t + 30 = 5*h. Calculate the remainder when 14 is divided by h.
2
Suppose 1917 = 671*t - 668*t. Suppose 0 = 16*n - t - 129. Calculate the remainder when n is divided by 11.
4
Let w be (5/2)/(30/36) - -862. Let h = w - 845. What is the remainder when 270 is divided by h?
10
Suppose 2*z = 4*g + 250, 146*g - 147*g - 11 = 0. What is the remainder when z is divided by 4 + 3/((-3)/(-2))?
1
Suppose 4*m + 70 = 11*m. Let o = -5 + m. Suppose z + 199 = o*n, -3*z + 202 = 5*n - z. What is the remainder when n is divided by 6?
4
Suppose -3383 = -197*c + 2921. Calculate the remainder when 2769 is divided by c.
17
Suppose 4*u - 260 = 4*l, -u + 0*u - 4*l = -50. Suppose -2*n + 56 = d + d, 3*d - 32 = -n. What is the remainder when u is divided by n?
10
Suppose -75 + 75 = -4*w. Suppose 5*b - 3*o - 9 = 0, w = 8*b - 3*b - o - 13. What is the remainder when 72 is divided by b?
0
Suppose 16 = 8*k - 16. What is the remainder when ((-118)/k)/(-1)*(12 + -8) is divided by 60?
58
Let h = 786 + 222. Suppose 16*c - 9*c = h. Calculate the remainder when c is divided by 25.
19
Let y(z) = 4*z**3 - z**2 + 1. Suppose -5*j = 4*c - 11, -2*j + 10*c = 12*c - 6. What is the remainder when (j - 22)/(6 + (-23 - -16)) is divided by y(1)?
3
Suppose 0 = 5*a - 678 + 223. What is the remainder when 4092 is divided by a?
88
Let k(z) = -z + 6. Let s = 32 - -70. What is the remainder when s is divided by k(-6)?
6
Let c = 7457 + -7393. What is the remainder when c is divided by 58?
6
Let u = 14464 + -14408. Calculate the remainder when 312 is divided by u.
32
Suppose 3196607 + 179405 = 181*u. Calculate the remainder when u is divided by 32.
28
Suppose -179*d = -184*d + 705. Suppose -3*m + 732 - d = 0. What is the remainder when m is divided by 20?
17
Suppose -12*l + 145 + 479 = 0. Let m(t) = 5*t**2 - 7*t + 8. What is the remainder when m(7) is divided by l?
48
Let d(m) = -m**2 + 196*m - 3543. What is the remainder when 520 is divided by d(21)?
124
Suppose -b + 2*b + 9 = u, 6 = -u - 2*b. Suppose -2*y - u*z + 76 = -18, 6 = 2*z. What is the remainder when 408 is divided by y?
39
Calculate the remainder when -18*17/((-867)/782) is divided by 13.
3
Let q(h) = 2*h**3 - 37*h**2 + 17*h + 22. Calculate the remainder when 6 is divided by q(18).
2
Let i = 126 - 49. Suppose 0 = 7*s - 911 + 36. Suppose -7 + 72 = h - 5*d, -3*h + d = -s. Calculate the remainder when i is divided by h.
37
Suppose 2*x - t - 156 = t, 235 = 3*x - 4*t. Suppose 4 = -2*c + 24. What is the remainder when x is divided by c?
7
Suppose -1117 = 4*u - 26*u + 6165. Calculate the remainder when 1014 is divided by u.
21
Let y(w) = -w**3 + 2*w**2 + 28*w + 119. Let b(a) = 7*a**3 + 2*a**2 - 3*a + 2. What is the remainder when y(-5) is divided by b(2)?
34
Suppose -16*x + 114 = -5*x - 2955. What is the remainder when x is divided by 23?
3
Let v be (-10)/(-15)*90/4. Let b be (-10)/(-2)*3/v*78. Let s = b - 1. Calculate the remainder when s is divided by 26.
25
Let v = -8645 - -8863. Calculate the remainder when 1051 is divided by v.
179
Let m(q) = -7*q + 73. Let k be m(11). What is the remainder when 59 is divided by (k/(-14))/((-6)/(-651))?
28
Let y(d) = -6*d**3 - 33*d**2 - 3*d - 15. Let m be y(-6). Suppose m = 6*h + 51. Let p = -52 - -99. What is the remainder when p is divided by h?
7
Suppose 2*z = v + 25, 2*z - 2*v = 9 + 13. Suppose -z*r + 6*r - 120 = 0. Calculate the remainder when 47 is divided by -34*-1*(r/6 + 3).
13
Calculate the remainder when 491 is divided by (-33)/(759/(-1886)) + 4/1.
61
Let w be -1 - -8 - 15/(-3). Suppose -w = -z + 2*x, z + x + 4*x - 40 = 0. What is the remainder when z is divided by 12 - (0/(-2))/2?
8
Let h(u) = u**2 + 6*u - 25. Let l = -6 + 65. Let x = -1 + l. Calculate the remainder when x is divided by h(-10).
13
Let g(f) = 2*f**2 - 3*f - 1. What is the remainder when -3*(-9)/(-2)*3808/(-336) is divided by g(-2)?
10
Let r = 19861 - 6424. What is the remainder when r is divided by 151?
149
Let k be 1/(-7) + 4624/(-119). Let p = 62 + k. Let a(l) = -l + 5. Calculate the remainder when p is divided by a(-4).
5
Suppose -549 + 515 = -2*t. What is the remainder when (-3 - -4) + -2 - -373 is divided by t?
15
Let d(i) = i**3 + 42*i**2 - 51*i - 159. What is the remainder when d(-43) is divided by 57?
14
Suppose -330 = 3*b - 1815. Suppose -5*r + b = -2*r. Calculate the remainder when r is divided by 28.
25
Let y = 552 - 521. Let d(a) = 60*a**2 - a. Let o be d(1). Suppose -22*s + o = -21*s. Calculate the remainder when s is divided by y.
28
Suppose 69*a = 10*a + 413. Calculate the remainder when 356 is divided by a.
6
Let a = -46017 - -46103. Suppose -5*p + 2*q + 55 = 0, 4*p - 38 = 3*q + 6. What is the remainder when a is divided by p?
9
Suppose 3183 = 3*s + 3*p, -s + 76 = -2*p - 1000. Let f = s + -1050. Let n = -18 + 25. Calculate the remainder when f is divided by n.
2
Let v(g) = g + 32. Let h(r) = -2*r - 32. Let k(a) = 2*h(a) + 3*v(a). Let s be k(19). Calculate the remainder when 48 is divided by 1/(((-2)/s)/(-2)).
9
Let m(f) = f**2 - 19*f + 31. Suppose -5*c + 878 = 4*a, 966 - 100 = 4*a - c. Calculate the remainder when a is divided by m(18).
9
Let a = 37 - 34. Suppose 0 = -4*f - 3*i - 24, a*i + 24 = -5*f - 9. What is the remainder when 37 is divided by 9 - 2 - (7 + f)?
1
Let b(q) = -q**2 - 28*q + 93. Let y be b(-31). Let p(r) = 57*r + 6. What is the remainder when 125 is divided by p(y)?
5
Let v = 275 - 265. Let m(i) = 4*i - 28. What is the remainder when m(v) is divided by 7?
5
Suppose 23*h - 35 = 1529. Calculate the remainder when 278 is divided by h.
6
Suppose -21*c - 947 = -56*c + 2728. Calculate the remainder when c is divided by 15.
0
Let b(k) = -19*k - 4. Suppose q = -0*q + 4, 4*p + 20 = q. What is the remainder when b(p) is divided by 38?
34
Suppose 2*a - 160 = -2*w, 3*a + 4*w - 2*w = 242. Suppose 2*r = 2*p - 48, -4*p = -r - 8 - a. What is the remainder when 71 is divided by p?
5
Let n = -48 + 42. Let z be n/1*(56/12 - 5). Suppose 18 = z*t - 0*t. What is the remainder when 25 is divided by t?
7
Let s(v) = -7*v - 1. Suppose -23 = 4*d - 3