-3*a + 3*k = -453. Calculate the remainder when 333 is divided by a.
43
Let q(l) = -33*l**2 - 12*l + 44*l**2 + 0*l - l + 14 + l**3. Let m be 2*(0 + 3 - 1) - 16. Calculate the remainder when 233 is divided by q(m).
25
Suppose -5*u - x = 31 - 218, 4*u = 5*x + 167. Let v be 20/3*36/(-15). Let m = 36 + v. Calculate the remainder when u is divided by m.
18
Suppose 3*m = -4*q + 48, -m + 48 = 2*m - 3*q. Calculate the remainder when (2623/(-645))/((-59)/(-15) + -4) is divided by m.
13
Let b be ((-1)/(-1))/((-3 - -17)/1988). Let y = -132 + b. Let h = 62 + -38. What is the remainder when h is divided by y?
4
Let k(m) = 3*m**2 - m + 4. Let d be k(0). Suppose d = u - 35. Suppose 6*o - u = -9. Calculate the remainder when o is divided by 4.
1
Calculate the remainder when 4080/30*(-6 + 8) is divided by 53.
7
Suppose 62*t = 2*v + 58*t + 2, 4*t = 24. Suppose -2*g = -4*l - 16, 2*l - 7*g + 8 = -2*g. What is the remainder when (35 - -3) + l/(-2) is divided by v?
7
Let w be 6/(-12)*-226 - 2. Suppose -2*r - r = -9. Suppose w = -0*m + r*m. What is the remainder when 109 is divided by m?
35
Let x = 1647 - 1632. What is the remainder when 2339 is divided by x?
14
Let k = 649 - 558. What is the remainder when 460 is divided by k?
5
Let o = -65 + 64. Calculate the remainder when 2*o + 6992/23 is divided by 16.
14
Let l = -4707 + 5056. Suppose 11*j - 6*j - 175 = 0. Calculate the remainder when l is divided by j.
34
Suppose -4*f - 3*f + 1052 = -3*f. Let h(n) = n**2 - 5*n + 2. Calculate the remainder when f is divided by h(-6).
59
Let g(y) = y**3 - 13*y**2 - 11*y - 15. Let z = 152 + -138. Calculate the remainder when 52 is divided by g(z).
25
Suppose -3*u - 1013 + 1265 = 5*p, 5*u + 30 = 0. Calculate the remainder when 260 is divided by p.
44
Suppose -u + 3*m - 10 = 0, -2*u - 476*m = -481*m + 12. Suppose 2*t - k = 186, -2*k - 280 = -4*t + t. What is the remainder when t is divided by u?
8
Let p(c) = -10 - 3 - 3 + 9*c + 20. Let l(u) = -4*u - 2. Let b(r) = -13*l(r) - 6*p(r). Calculate the remainder when 14 is divided by b(-1).
2
Let b(i) = -3*i - 3. Suppose n = -2*m + 175, 52*n - 49*n - 4*m = 535. Calculate the remainder when n is divided by b(-7).
15
Let v(l) = 11*l**2 + 65*l + 27. Calculate the remainder when 260 is divided by v(-6).
29
Calculate the remainder when 5/(-85) - 15358/(-119) is divided by 49.
31
Suppose -18*y = 3243 + 3399. Let z(t) = t**2 + t. What is the remainder when (-2 - 1) + y/9*-1 is divided by z(-5)?
18
Let x = 108 + -110. Calculate the remainder when 2/(-8) + 87/12 is divided by ((-4)/20)/(x/20).
1
Suppose 67 = -16*y + 17*y. Suppose 95*m = -13*m + 6588. What is the remainder when y is divided by m?
6
Suppose 0*a = 11*a - 20*a + 117. What is the remainder when 325 is divided by a?
0
Let a(b) = b - 1. Let c(s) = s**3 - 7*s**2 + s - 1. Let r be c(7). Let w = 9595 + -9577. Calculate the remainder when w is divided by a(r).
3
Let m(v) = 332*v - 6302. What is the remainder when 377 is divided by m(19)?
5
Calculate the remainder when (2 - 25 - 4)*(9 + -13) is divided by 10.
8
Suppose 372*w - 192880 - 1914 = 35846. What is the remainder when w is divided by 23?
22
Let h(a) = a**3 + 3*a**2 - 5*a + 2. Let p be (-2)/2 - (2 + -37). Calculate the remainder when 9 - (0 - 0) - (31 - p) is divided by h(-4).
0
Suppose -2*h - 2*w = -80, 0*h + w + 89 = 2*h. Calculate the remainder when (24/20)/(-5 - 11408/(-2280)) is divided by h.
41
Let g = -280 - -280. Suppose 10*j - 26*j + 64 = g. What is the remainder when j is divided by 2?
0
Suppose 5*g - 416 = 114*q - 117*q, 2*g - 186 = -4*q. What is the remainder when 1817 is divided by g?
0
Let t(b) = -2*b**3 + 11*b**2 + 31*b. Calculate the remainder when 187 is divided by t(7).
47
Let v = 892 - 673. Suppose -5 = -v*q + 218*q. Calculate the remainder when 17 is divided by q.
2
Let o = 532 + -164. Calculate the remainder when o is divided by 81.
44
Let h = 4363 - 4294. What is the remainder when 851 is divided by h?
23
Suppose 5*c - 139 = -4*t + 52, 4*c - 5*t = 161. Calculate the remainder when 3428 is divided by c.
35
Let y be ((-122)/(-8))/((-16)/(-64)). Suppose 6*k - 11 - y = 0. Calculate the remainder when (1 - 3)*1 + 47 is divided by k.
9
Let c(k) = 238*k**2 - 435*k + 1305. What is the remainder when c(3) is divided by 531?
18
Suppose -3*o = -0*o - 27. Let a(w) be the second derivative of 5*w**3/6 - 11*w**2 + 5*w + 12. Calculate the remainder when a(o) is divided by 13.
10
Let g = -8017 + 8581. What is the remainder when g is divided by 283?
281
Suppose 4*u = 12, -176*g - 3324 = -177*g - 5*u. Suppose 11*p + 152 = g. What is the remainder when p is divided by 21?
14
Let v = 82 + -123. Let r = v + 43. Calculate the remainder when -1*(-1 - r) - (-55 - 0) is divided by 20.
18
Let h = 8653 - 6944. Calculate the remainder when h is divided by 19.
18
Let k(f) = 7*f**3 - 11*f**2 + 8*f - 162. Calculate the remainder when k(10) is divided by 82.
78
Let q = 41 - 29. Let g = 2108 + -2027. Calculate the remainder when g is divided by q.
9
Let a = -1819 + 1869. What is the remainder when 2594 is divided by a?
44
Let m(s) = 2*s**2 + 7*s - 2. Let x be m(-10). Suppose 0 = 135*t - x*t - 462. Calculate the remainder when t is divided by 24.
18
Suppose 2*o = 3*n + 60, 4*o - 14 - 96 = n. What is the remainder when 47/2*(-20 - -28) is divided by o?
26
Let l(y) = 58 - 22 - 6*y - 21. Calculate the remainder when 208 is divided by l(0).
13
Suppose v - 5 + 9 = -2*d, 2*v - 24 = 4*d. Suppose 0 = -2*f + 2*w + 26, -43 + 2 = -3*f + w. Calculate the remainder when f is divided by v.
2
Let q(y) = -y**2 + 148*y + 147. Calculate the remainder when q(36) is divided by 113.
111
Let a(g) = -172*g - 2159. Let l(w) = -w**3 - 7*w**2 - 6*w - 4. Let v be l(-6). Let f = 12 - v. Calculate the remainder when a(-13) is divided by f.
13
Let c = -22361 - -22563. Calculate the remainder when 328 is divided by c.
126
Let w = 88 + -84. Suppose -5*b - 43 = -w*m - 24, 0 = 3*b - 15. Calculate the remainder when 43 is divided by m.
10
Let l(b) = -3*b + 27. Suppose -14*z = -4*z - 50. What is the remainder when 67 is divided by l(z)?
7
Let m(y) be the third derivative of y**5/20 - y**4/8 - y**3/3 + 15*y**2. Suppose -z + 0*z + 3 = 0. Calculate the remainder when m(z) is divided by 6.
4
Suppose 0*p - 5*p = -135. Let s be 5 - (1*-4 - (24 - 30)). Suppose -5*m - s*t + t + 1208 = 0, -3*m - 2*t = -728. Calculate the remainder when m is divided by p.
24
Suppose 5*p + 885 = 6*p - 3*s, 0 = p - 4*s - 893. What is the remainder when p is divided by 96?
93
Suppose -z - 2*t + 16 = 4 - 26, 0 = t. What is the remainder when 72 is divided by z?
34
Let m = 2018 + -1292. What is the remainder when m is divided by 92?
82
Let m(o) = 14*o - 23. Let j be m(2). Suppose j*g - 150 = 60. What is the remainder when 97 is divided by g?
13
Suppose 4*q - 62 = 18. Suppose -4*r - 4*b = -480, -79*b = -4*r - 80*b + 471. Calculate the remainder when r is divided by q.
17
Let w(f) be the third derivative of f**6/40 - f**5/30 + 7*f**4/24 - f**3/3 + f**2 + 10. Calculate the remainder when w(2) is divided by 6.
4
Suppose -3*m - 2*h + 1825 = -0*m, 0 = 5*m + 5*h - 3035. Let b = m + -314. What is the remainder when b is divided by 50?
47
Suppose -235952 = -551*n + 582283. Calculate the remainder when n is divided by 94.
75
Let f = -86 - -89. Suppose -2*u = -2, 4*u + 1 = 4*l - f. Let c = l - -13. What is the remainder when 39 is divided by c?
9
Let j be -5 - (-7)/((-21)/10)*-120. Let g = -318 + j. What is the remainder when g is divided by 24?
5
Suppose -8*u - 509 = -117. Let y be 59 + (3 - 3/1). Let t = u + y. Calculate the remainder when 19 is divided by t.
9
Suppose -b + 2781 = 5*g, 0*g - 5*b + 537 = g. Suppose -g - 385 = -3*k. What is the remainder when k is divided by 21?
20
Suppose -g + 6*r - 5*r = -3, 5*g = 3*r + 13. Suppose 4*i - 4*b - 62 - 18 = 0, -g*i + 5*b = -46. What is the remainder when 70 is divided by i?
16
Let j(u) be the second derivative of u**4/12 + 2*u**3 - 46*u**2 + 9*u + 2. Calculate the remainder when j(6) is divided by 2.
0
Suppose 0 = 3*b + 5*g + 137, -190 = 4*b + 2*g + g. Let d = b - -69. Calculate the remainder when 21 is divided by d.
1
Let n(g) = g**3 - 59*g**2 + 319*g - 49. Calculate the remainder when 561 is divided by n(53).
1
Let t(r) = -r**3 - 5*r**2 + r. Suppose -h + 825 = 5*y, -y +