 is divided by c.
23
Let k(r) = -r**3 - 27*r**2 - 18*r - 69. Calculate the remainder when k(-28) is divided by 47.
44
Suppose 4*o = -8*k + 3*k + 201, 42 = o + 4*k. Suppose 3*j + 0*j - o = 0. What is the remainder when 68 is divided by j?
14
Let n be (-4)/(-6) - (-1)/3. Let c be (-13)/(-2)*(n + -3). Let p(w) = -w. What is the remainder when p(c) is divided by 8?
5
Suppose 4*p = -2*s + 3*s + 8, 0 = s + 5*p - 28. Suppose -11*y + 261 = -s*y. Calculate the remainder when y is divided by 18.
15
What is the remainder when 21 is divided by 17 - (-12 - -7 - 1/(-1))?
0
Let n(v) = -v**2 - 11*v - 10. Let g be n(-11). Let l(r) = 2*r**2 + 15*r + 5. Calculate the remainder when l(g) is divided by 20.
15
Suppose 11*q - 13*q = -5*z + 336, 0 = -5*z + 4*q + 342. What is the remainder when 191 is divided by z?
59
Suppose -135 = 3*p - 624. What is the remainder when p is divided by 55?
53
Let p = 25 - 23. Let n(g) = 19*g - 9. Calculate the remainder when 140 is divided by n(p).
24
Suppose 11*q - 30 = 58. What is the remainder when 414 is divided by q?
6
Suppose 12*j - 56 = 5*j. Calculate the remainder when 36 is divided by j.
4
Let l(o) = -o**2 - 5*o + 7. Let a be l(-6). Let f be (a + 2 - 4)*-3. Suppose 0 = 2*c - f*c + 13. What is the remainder when c is divided by 5?
3
Let l = 161 + -5. Calculate the remainder when l is divided by 48.
12
Let t(i) = i**2 - 8*i + 2. Let h be t(8). Let w be (-2 + -32)*h/(-4). Suppose c - w = 14. What is the remainder when 91 is divided by c?
29
Let b(s) be the second derivative of -11*s**3/3 - s**2/2 + 15*s. What is the remainder when 168 is divided by b(-2)?
39
Suppose 17 = 2*f - 79. What is the remainder when f is divided by 19?
10
Let a = 111 - 112. What is the remainder when 40 is divided by 3*(-16)/12 + a + 9?
0
Let v = 45 - 61. Calculate the remainder when (-5)/(-20) + (-796)/v is divided by 19.
12
Suppose 29*s = 729 - 91. Calculate the remainder when 43 is divided by s.
21
Suppose -2*s - 4 = -5*d - 28, 60 = 5*s + d. Let z(p) = 2*p**2 - 9 - 2*p + 3*p - 7*p + 0. Calculate the remainder when z(7) is divided by s.
11
Suppose -3*h + 227 = 5*j - 456, 3*j + 4*h = 412. What is the remainder when j is divided by 28?
24
Suppose 274 = 2*g + 5*b, -2*g + 130 = -4*b - 162. What is the remainder when g is divided by 13?
12
Let o(u) = u**3 - 21*u**2 - u + 46. Suppose -30*v = -28*v - 42. Calculate the remainder when 72 is divided by o(v).
22
Let v(y) = y**3 - 11*y**2 + 4*y - 3. Let m(c) = 5*c - 145. What is the remainder when v(11) is divided by m(32)?
11
Suppose -3*j = -4*c - 33, -2*j + 25 = -7*j. Let d be c/8*(-28)/6. Suppose -a + 2 = -d. Calculate the remainder when 35 is divided by a.
8
Suppose 2*g = -0*g - 72. Let f = 65 + g. Calculate the remainder when 115 is divided by f.
28
Let k = -83 - -103. Suppose -k*q = -25*q + 215. What is the remainder when 85 is divided by q?
42
Let o be (-28)/(-13) - 8/52. Suppose 2*c - 4*c = w + 8, 0 = o*c - 5*w - 16. What is the remainder when 26 is divided by (c - -1)*(-4 + -10)?
12
Suppose 3*p = -5*r + 20 + 27, 4*r = -4*p + 36. Suppose 2*d + 2*v = -d + 144, -v - 96 = -2*d. Calculate the remainder when d is divided by r.
8
Suppose -2905 = 37*y - 72*y. What is the remainder when 247 is divided by y?
81
Let n(x) = -x**2 - 7*x - 5. Let s be n(-5). Suppose 20 = -5*v, 3*q = -0*q - s*v - 53. Let i = 30 + q. What is the remainder when 37 is divided by i?
18
Let r(t) be the third derivative of t**6/120 + t**5/60 - t**4/4 + 5*t**3/6 - 4*t**2. What is the remainder when 66 is divided by r(3)?
20
Let z(j) = -62*j + 149. Calculate the remainder when z(2) is divided by 2.
1
Suppose -86 - 10 = -3*u. Let r = -10 + u. Suppose q = -q + r. Calculate the remainder when q is divided by 4.
3
Suppose 2*z - 1 = -o, -3*z + 5*z - 4 = -4*o. Let g = 3 + o. Suppose 0 = -v - x + g, -3*v + 20 = -5*x + 8. Calculate the remainder when 13 is divided by v.
1
Suppose -2*h + 20 = 4*n, -18*h + 21*h + 5*n = 30. What is the remainder when 1 + (-2)/((-4)/74) is divided by h?
8
Suppose -3*w + 251 + 52 = 0. Suppose -53 - 15 = -62*o + 58*o. Calculate the remainder when w is divided by o.
16
Suppose -5*h - 39 = -4*o + 39, 0 = 5*o - 5*h - 95. Calculate the remainder when 48 is divided by o.
14
Let w = 39 + -27. Let g(n) = -n**2 + 14*n + 1. Calculate the remainder when g(w) is divided by 9.
7
Let y = 13 - -2. Suppose 420*t - 116 = 418*t. What is the remainder when t is divided by y?
13
Let f = -43 - -42. Calculate the remainder when 47 is divided by ((-10)/30 - f/3) + 18.
11
Suppose 14 = -2*u - 0*u. Let g = u + 18. What is the remainder when 51 is divided by g - -4 - (0 + 2)?
12
Let q(m) = 4*m**2 - 3*m - 4. Let h = -9 + 13. Let f be q(h). What is the remainder when f/(-20)*20/(-3) is divided by 6?
4
Let b be (-4)/26 - (-1610)/(-182). What is the remainder when 1 + (-14)/(-1)*3 is divided by (-1)/(9/15)*b?
13
Calculate the remainder when 66 is divided by (9 + (10 - 3))*1.
2
Let p(s) = s**2 - 4*s - 3. Let b be 64/(-36) + -1*(-2)/(-9). Calculate the remainder when 24 is divided by p(b).
6
Let u be (-5)/(-2)*8/10. Let p(n) = 8 - 2*n + 6*n**3 + n + 6*n**u + 6 - 7*n**3. What is the remainder when 23 is divided by p(6)?
7
Suppose 9 + 3 = 4*o. Suppose -4*m - 696 = -4*g, g - 3*m = o*g - 363. What is the remainder when g is divided by 30?
27
What is the remainder when 250 is divided by 16 - (-7 + -3 + 20)?
4
Let v = 184 + -144. What is the remainder when v is divided by 7?
5
Let g be 15 - (-6 - -2 - -4). Let m(s) = -7*s - 3. Let k(d) = -50*d - 20. Let v(h) = g*m(h) - 2*k(h). What is the remainder when 59 is divided by v(-4)?
14
Suppose 277*x - 279*x = 3*r - 22, 0 = -4*x + 2*r + 60. Suppose 5*j - j = 388. What is the remainder when j is divided by x?
13
Let a = 25 + -22. Suppose 5*g - 31 = -6, g + 16 = a*n. What is the remainder when 33 is divided by n?
5
Let a = -1052 - -1289. Calculate the remainder when a is divided by 73.
18
Let v = 68 + -63. Suppose v*f = 15 + 80. Let p(o) = 7*o**2 - 3*o + 2. What is the remainder when p(-3) is divided by f?
17
Let s(n) = -n**2 + 26*n - 59. Calculate the remainder when s(8) is divided by 22.
19
Let f be (6/(-9))/(1/(-6)). Suppose 3*n - 135 = -f*u, 3*n + 3*u - 175 = -43. What is the remainder when n is divided by 11?
8
Suppose 2*x - 38 = 3*d, -d = -5*x - 2*d + 61. What is the remainder when 49 is divided by x?
10
What is the remainder when 124 is divided by 1/((-21 + 20)*1/(-14))?
12
Let a(y) = y**2 + y + 37. Suppose 5*x = 5*f + 20, -4*x + 13 = f - 3. Suppose f = -0*k - 4*k. What is the remainder when a(k) is divided by 10?
7
Let f be (-150)/(-105)*7*1. Let r(p) = -p**3 + 9*p**2 + 15*p - 4. What is the remainder when r(f) is divided by 16?
14
Let z = -39 - -39. Suppose z = 5*t - 7*t + 242. Calculate the remainder when t is divided by 2 - -1 - -14*2.
28
Suppose 3*x = 2*q - 4 - 15, 10 = q - 2*x. Suppose 936 = 10*n + q*n. What is the remainder when n is divided by 18?
16
What is the remainder when ((-7)/2)/(12/(-384)) is divided by (-21)/28 + (-238)/(-8)?
25
Suppose -3*h + 417 = -3*b, 3*h = -b + h - 130. Let d = -127 - b. Calculate the remainder when 32 is divided by d.
5
Let a(z) = -z**2 + 4*z + 9. Let m be a(6). Let t(r) be the second derivative of -r**5/20 + r**3/3 - 2*r**2 - r. What is the remainder when t(m) is divided by 5?
2
Suppose -4 = -2*z - d + 21, 3*z = -3*d + 30. Suppose -5*o + 368 = t, 0*o - 3*o + 3*t + 210 = 0. Calculate the remainder when o is divided by z.
13
Let m be (-11)/(-2) + (-6)/4. Suppose m*d = 2*d + 24. Suppose -r + 62 = z, -5*r + 267 = z - 27. What is the remainder when r is divided by d?
10
Let i(d) be the third derivative of -5*d**4/24 - 17*d**2. What is the remainder when i(-5) is divided by 9?
7
Suppose -3*q - 198 = -5*x, -12*x = -15*x + 2*q + 119. What is the remainder when 289 is divided by x?
16
Suppose 3*s - s - 14 = -4*x, s + 3*x - 10 = 0. Let r be ((-2)/s + 1)*-6. Suppose -14 = r*m - 62. What is the remainder when 15 is divided by m?
7
Let q(r) = r**2 + 6*r + 39. Calculate the remainder when q(-10) is divided by 41.
38
Let y be (-593)/5 - 4/10. Let j = y + 177. What is the remainder when j is divided by 12?
10
Let u(w) = -w + 32. Let y be 56/8 - 9 - -1*2. Suppose n - 16 - 1 = y. What is the remainder when u(0) is divided by n?
15
Suppose 3*q - 9 = 3. Suppose -12 - q = -4*r. Calculate t