t is the remainder when q is divided by 19?
16
Suppose r - 3*r - 14 = 0. Let s(n) = n**3 + 7*n**2 - 2*n - 6. Let w be s(r). Suppose 6*m = 16 + w. What is the remainder when 13 is divided by m?
1
Suppose -53*x + 4 = -57*x. Let n be (156 - 0) + (-2 - -1)/x. Suppose 2*m - n = -5*q, -32 = -2*q + q - m. Calculate the remainder when q is divided by 8.
7
Suppose 4*a + 9 = -7, -4*u - 2268 = -a. Suppose c = -4*y + 22, -c - 3*y = -2*y - 13. Calculate the remainder when 22/110 - u/c is divided by 32.
25
Let p = 6021 + -3840. Calculate the remainder when p is divided by 12.
9
Suppose -113*d + 119*d = 84. Suppose 2*y = -37*x + 42*x - 170, 4*y - 128 = -3*x. Calculate the remainder when x is divided by d.
8
Let b = -3722 - -4350. What is the remainder when b is divided by 11?
1
Let t be ((-3 - -3) + 1)*269. Let z be (2/((-10)/905))/(-1). Let w = t - z. Calculate the remainder when w is divided by 18.
16
Suppose 5*g + 795 = 5*a, 3*g + 0 = 3. Let c = a - 81. What is the remainder when c is divided by 17?
11
Calculate the remainder when 6 + -13 - (-9830)/10 is divided by 23.
10
Suppose -5*q + 40 = 2*m, -4*q - m + 29 = -0*q. Suppose 0 = -q*s + 2*s + 216. What is the remainder when s is divided by 14?
12
Let g = 23 - -7. Let f = -22 + g. Let t(m) = -3*m**3 - 99*m**2 - 2*m - 19. What is the remainder when t(-33) is divided by f?
7
Let k = 311 - 62. Suppose k - 27 = 6*n. What is the remainder when 101 is divided by n?
27
Let d(t) = -11*t**3 + t**2 + t + 3. Let b(j) = -12*j**3 + 2*j**2 - j + 2. Let w(l) = 3*b(l) - 4*d(l). What is the remainder when w(3) is divided by 72?
63
Let b = -25 - -44. Let r(a) = -a**3 + 18*a**2 + 20*a - 18. Let i be r(b). Suppose -5 - i = -p. What is the remainder when 34 is divided by p?
4
Suppose 0 = 4*m - 5*x - 1336, -x = 5*m + 2*x - 1707. Suppose 4752 = 9*r + 4239. What is the remainder when m is divided by r?
54
Suppose -147 - 27 = -3*g. Let t = 94 - 108. Let a(r) = -3*r - 22. Calculate the remainder when g is divided by a(t).
18
Let c(y) = -3*y**2 + 73*y - 7. Let d be c(22). Let v = 154 - d. What is the remainder when 39 is divided by v?
4
Let o(b) = -40*b + 1389. Calculate the remainder when o(-40) is divided by 23.
22
What is the remainder when 360552/(-747)*(20/(-6) - 7/(-21)) is divided by 34?
20
Suppose 5*v = -2*w - 26, 5*v = 17 + 3. Let n = 76 - w. What is the remainder when n is divided by 34?
31
Let b be (((-24)/15)/4)/(2/(-10)). Let g(u) = -8 + b + 0*u + u**2 - 3*u. Calculate the remainder when g(6) is divided by 5.
2
Let p(m) = -m**2 - 23*m + 1337. What is the remainder when 188 is divided by p(26)?
62
What is the remainder when 1809 is divided by ((-4)/(-3))/(-2)*((-1650)/12 + 64)?
45
Let g(p) = 2*p - 26. Let o be g(13). Suppose o*w = -w + 53. Let c = -28 - -36. Calculate the remainder when w is divided by c.
5
Suppose 13*j - 19 = 46. Suppose -220 = -5*m + j*i, -2*m + 4*i - 3*i + 92 = 0. Calculate the remainder when m is divided by 13.
9
Let k(l) = -5*l**3 - 4*l**2 - 5*l - 5. Let v be k(-2). What is the remainder when 349 is divided by v - (-2 + -4 + 10)?
24
Suppose -44*z = -9*z - 245. Suppose y + z*i - 3*i = 108, 0 = -5*y - 4*i + 540. What is the remainder when y is divided by 16?
12
Let q = 16 + 2. Suppose -175*k - 4*j - 284 = -180*k, 256 = 4*k + 4*j. What is the remainder when k is divided by q?
6
Calculate the remainder when 781 is divided by ((-9)/(-6))/((-111)/(-2072)).
25
Let i(g) = -36*g + 362. Let s be i(10). Suppose v - 2 = -j, -4*v + s = -3*v - 4*j. What is the remainder when v is divided by 1?
0
Let h = -43 - -126. What is the remainder when h is divided by (3 + -2)/((84/(-96))/(42/(-12)))?
3
Let i = 133166 + -133130. What is the remainder when -1*8*500/(-8) is divided by i?
32
Suppose o - 4*i - 5237 = 0, -142*i + 141*i - 10453 = -2*o. Calculate the remainder when o is divided by 78.
77
Let i be -18 + 3 + (-4 - 1). Let r = 38 + -28. Calculate the remainder when 65 is divided by (-16 - 1)/(r/i).
31
Suppose 13 = 2*r + 7. Suppose -2*v - 3*m = -r*v + 15, -4*v = m - 34. Let k(x) = -x**2 - 22*x - 68. What is the remainder when k(-17) is divided by v?
8
What is the remainder when (1329/9 - -2)/((-304)/24 - -13) is divided by 139?
32
Let i(r) = -r**2 - 23*r + 22. Calculate the remainder when 127 is divided by i(0).
17
Suppose -18*a + 277 = 3589. Let b = a - -204. Calculate the remainder when 284/8 + 1/(-2) is divided by b.
15
What is the remainder when 138 is divided by 20/14 + -2 + 67410/490?
1
Let b = 4586 - -2585. What is the remainder when b is divided by 22?
21
Let r(l) be the second derivative of -l**5/20 + 2*l**4/3 + l**3/3 + 11*l**2 + 92*l. What is the remainder when r(8) is divided by 14?
10
Let a(m) = -113*m**2 + 2042*m - 120. Let r = -10 - -16. Let y(o) = -o**3 + 5*o**2 + 7*o + 3. Calculate the remainder when a(18) is divided by y(r).
6
Let q(j) = -j**3 - 6*j**2 - 11*j - 9. Let s(f) = f**2 - 422*f + 6918. Calculate the remainder when q(-7) is divided by s(17).
18
Let v = 4910 + -4785. What is the remainder when v is divided by 8?
5
Suppose -21*f = -95542 - 21452 + 24636. What is the remainder when f is divided by 88?
86
Suppose -4*s + 123 = 3. Suppose 0 = 5*h + 5*l - 85, -8 = -0*h + h - 4*l. Let d = h + -4. What is the remainder when s is divided by d?
6
Let c(r) = r**3 + 14*r**2 + 13*r + 1. Let t be c(-13). Let o = 52 + -26. What is the remainder when 156/(1 + t) - 2 is divided by o?
24
Let v = -1221 + 1301. What is the remainder when 296 is divided by v?
56
Suppose 84*k + 55*k = 1083 + 2531. What is the remainder when 1037 is divided by k?
23
Let y(a) be the second derivative of a**3/3 - 9*a**2/2 + 104*a. What is the remainder when y(44) is divided by 10?
9
Let v = -148 + 200. Let p = v + -21. Calculate the remainder when 117 is divided by p.
24
Let b(j) = j**3 - 11*j**2 - j - 79. Calculate the remainder when b(13) is divided by 17.
8
Suppose -4*v + 34 = -2*v. Let d be (24/32)/(6/16). Suppose 2*i - 32 = 7*q - 3*q, -i = 4*q + d. What is the remainder when v is divided by i?
7
Let i(u) = -u**3 + 11*u**2 - 8*u - 1. Suppose 0 = -396*w + 394*w + 86. Calculate the remainder when i(8) is divided by w.
41
Suppose -2*h - 2*w + 98 + 18 = 0, 3*w - 15 = 0. Suppose 4 = -17*a - 64. What is the remainder when h is divided by a/(21/(147/(-2)))?
11
Let a(u) = -u + 16. Let b be a(13). Let d(k) = 35*k - 10. Let v be d(b). Let q = v + -50. What is the remainder when 130 is divided by q?
40
Let j = -58 - -88. Suppose 4363*z - 4377*z + 1582 = 0. Calculate the remainder when z is divided by j.
23
Let y be (1 - 10)*25*(-8)/40. Calculate the remainder when 86 is divided by (1 - (-12)/(-8)) + y/2.
20
Let m be 1*(-3 - -4) + (-2 - -249). Let v be (-5)/((-30)/m) - 4/(-6). Let i = 54 - v. What is the remainder when i is divided by 7?
5
Suppose 0 = -5*n + 4*j - 158 - 145, 0 = -4*n + 3*j - 243. Let y = -40 - n. Suppose q - 13 = y. Calculate the remainder when q is divided by 13.
10
Let m(q) = 2*q**3 - 3*q**2 - 18*q + 7. Calculate the remainder when 83 is divided by m(4).
8
Let o = -550 + 42. Calculate the remainder when o/(-2)*(2/4 + 0) is divided by 64.
63
Let o = -9 - -9. Suppose 2*u - 8 + 2 = o. Let r(g) = -g**3 - 21*g**2 - 17*g + 65. What is the remainder when r(-20) is divided by u?
2
Suppose 0 = -25*n + 6726 + 15499. What is the remainder when 892 is divided by n?
3
Let t(j) = j**3 - 37*j**2 + j + 10. Suppose 19*u = 3207 + 308. What is the remainder when u is divided by t(37)?
44
Let m(a) = 6*a**2 - 8*a + 9. Let p = -173 + 174. What is the remainder when m(p) is divided by 4?
3
Let o be ((-3)/4)/((-1)/8). Let h = 11 - o. Suppose -7*t = -2*t + h*j, -4 = 2*j. Calculate the remainder when 9 is divided by t.
1
Let k be -4 - (-36)/6 - 7. What is the remainder when 69 is divided by ((-52)/(-12) + k)*-18?
9
Let b = -41 - -43. Suppose -2 = b*r + 6, k - 29 = -2*r. What is the remainder when k is divided by (-31)/(-3) + (-9)/27?
7
Let y(l) = l**3 + 22*l**2 + 24*l - 26. Let q be y(-20). Suppose -11*t - q = -18*t. Calculate the remainder when 76 is divided by t.
34
Let s(i) = 72*i - 5 - 221*i + 97*i. Let l = 5 + -7. Calculate the remainder when s(l) is divided by 25.
24
Let y(m) = 22*m**3 - 5*m**2 - 41*m + 87. Calculate the remainder when 1037 is divided by y(3).
11
Let s(d) = 5*d**2 - 2*d + 10. Let r be s(3). Suppose -r*c = -41*c - 168. Su