87 + 90. Suppose 3*a - 476 = -10*h + 12*h, 0 = 3*h + c. Calculate the remainder when a is divided by 19.
6
Let c(l) = 6*l**3 + 4*l**2 - 45*l + 135. What is the remainder when c(3) is divided by 5?
3
Let f = -2010 - -3851. Suppose -2*t + 3*z - 1380 = -5*t, 3*z - f = -4*t. What is the remainder when t is divided by 42?
41
Suppose 3*m - 56 = m. Suppose 24672 = 11*p + 9272. Suppose p*t - 1396*t - 328 = 0. What is the remainder when t is divided by m?
26
Suppose 5*g + 21 = 2*d, -d - 4*g = d + 6. Suppose -l + d*i + i = -12, -25 = -3*l + i. What is the remainder when 55 is divided by l?
7
Let u = 33 - -307. Let p = u - 291. Calculate the remainder when p is divided by ((-2)/(-4))/((-1)/(-38)).
11
Suppose -8*o + 3*o = -5*l, 5*l = -4*o. Suppose o = -9*g - 569 + 2171. What is the remainder when g is divided by 30?
28
Let q be 4 - (4/18 + (-42)/(-54)). Suppose q*z + 18 = w, -5*w - 2*z + 32 = -92. What is the remainder when w is divided by 16?
8
Let p(h) = -4*h**3 + 84*h**2 + 31*h + 150. What is the remainder when p(21) is divided by 59?
34
Suppose 48 = 15*u - 11*u. Suppose 0 = u*z - 3*z + 117. Let p = 38 + z. What is the remainder when p is divided by 7?
4
Suppose -251 + 17 = -3*h. Let n = 291771 + -291568. Calculate the remainder when n is divided by h.
47
Let k = 1711 + -701. Let z = k - 602. What is the remainder when z is divided by 41?
39
Suppose j + 2*h + 4 + 2 = 0, 5*j = 4*h - 44. Let n(q) = -56*q - 111. Calculate the remainder when n(j) is divided by 34.
31
Suppose -5*y + 5*o = 4*o - 212, y - 40 = -o. Let f = y - 6. Calculate the remainder when 130 is divided by f.
22
Suppose -5*b = -5*x + 175, x - 4*b = -2*x + 104. Calculate the remainder when (12/24)/((-1)/(-10)) - (-80 + -18) is divided by x.
31
Suppose 0 = 2*j - 213*d + 208*d - 14, -4*d - 20 = -2*j. Suppose -5*f + 24 = -41. Let q = f + -5. What is the remainder when j is divided by q?
6
Calculate the remainder when 155/4*(320/90 + 16/36) is divided by 53.
49
Let u = -72 + -20. Let t = u + 93. Suppose 9*r - 181 + t = 0. Calculate the remainder when r is divided by 13.
7
Suppose -393 = -4*y - q, -16*y - 3*y + q + 1907 = 0. Calculate the remainder when 437 is divided by y.
37
What is the remainder when (1 - 955)*(114/(-144)*-8 - 7) is divided by 52?
12
Suppose -1063*s + 5*h + 7700 = -1058*s, -7707 = -5*s - 2*h. Calculate the remainder when s is divided by 21.
8
What is the remainder when 524 is divided by (-3 + 382/6 + -3)*(-5 - -8)?
5
Suppose y - 119 = 4*n + 36, 155 = y + 5*n. Let i = 141 - 138. Suppose -82 = -i*j - 4. What is the remainder when y is divided by j?
25
Let p be (15/6)/(-5) - 139/2. Let d = p + 96. Calculate the remainder when 282 is divided by d.
22
Let f be 150 - 2 - (-16)/(-4). Suppose -3*z - 5*j + 67 = -15, 5*z - f = -j. Suppose -2*u + 15 + z = 0. Calculate the remainder when u is divided by 8.
6
Let k be (-1)/(-6) - (-510)/180. Let r = 9 - 14. Calculate the remainder when k + ((-4)/5)/(r/25) is divided by 3.
1
Suppose 12171 = 2*n + 3*c, -164*n = -169*n + 2*c + 30475. Calculate the remainder when n is divided by 13.
9
Let s(d) = d**2 - 3*d - 6. Suppose -35 = -4*u - 47. Let r be s(u). Suppose -r*i = -10*i - 28. What is the remainder when 83 is divided by i?
13
Let r(w) be the third derivative of 7*w**5/30 + w**4/6 + w**3/2 + 2*w**2 + 87*w. Let b = -2 + 1. What is the remainder when 24 is divided by r(b)?
11
Suppose 3*w - 4412 = l, -5*w + 7364 = -272*l + 273*l. Calculate the remainder when w is divided by 36.
32
Let h(k) = -19*k - 54. Let y(c) = -8*c + 52. Let z be y(7). What is the remainder when 105 is divided by h(z)?
17
Suppose 0 = 3*w - p - 19780, 0 = -3*w + 6*p - 3*p + 19776. What is the remainder when w is divided by 15?
9
Let x(r) = r + 9. Let v be x(-9). Suppose 3*w - 2*h - 170 = v, w - 4*h - 44 = 6. Suppose -327 = -63*u + 933. What is the remainder when w is divided by u?
18
Let x(m) = 0*m + 17*m + 40*m - 8 - 91 + 10*m. What is the remainder when x(4) is divided by 426/10 - 14/(-35)?
40
Let h = 462 - 454. Suppose -176 + 192 = h*d. Calculate the remainder when 7 is divided by d.
1
Suppose 5*d + 4*b + 150 - 370 = 0, 2*d - 75 = b. Calculate the remainder when d is divided by 15.
10
Let q(l) = -l - 11. Let j be q(-18). Suppose -j*g = -4*g - 9. Suppose -g = -4*h + 105. Calculate the remainder when 107 is divided by h.
26
Let u be (2 - -1)*(1 - -3). Suppose -96 = -2*z - u. Let p(x) = -1668*x - 13322. What is the remainder when z is divided by p(-8)?
20
Suppose -12*i + 31*i = 228. What is the remainder when ((-15)/i)/(5/(-120)) is divided by 2?
0
Let f(d) = 275*d + 16572. Calculate the remainder when f(-46) is divided by 93.
16
Suppose -3*n + 56*u = 60*u - 56, -3*u = 2*n - 37. Suppose 4*x + 3 = q, 2*q - 5*x = -q + 23. What is the remainder when n is divided by q?
9
Suppose 60 = -0*k + k. Suppose -z - k = -7*z. Calculate the remainder when (-366)/(-10) + 2/5 is divided by z.
7
Suppose 15 = 7*o + 8. Let t(d) = -d + 6. Calculate the remainder when t(-8) is divided by 10 + (-40)/16*(o + 1).
4
Let b(t) = -2*t**3 - 10*t**2 - 5*t + 3. Suppose -5*l = 4*u - 653, 0 = l + 3*u - 120 - 15. What is the remainder when l is divided by b(-5)?
17
Suppose 5*l = 3*n + 322, -9 = 3*l - 3*n - 201. Calculate the remainder when 1558 is divided by l.
63
Let k(x) = -x**3 + 28*x**2 - 4*x + 131. What is the remainder when 16358 is divided by k(28)?
18
Suppose 14*n - 13*n - 3*l - 451 = 0, 3*l = 2*n - 917. Calculate the remainder when n is divided by 6.
4
Let n = -33444 + 34624. Calculate the remainder when n is divided by 150.
130
What is the remainder when 1132 is divided by 27*((3/(-5))/(387/(-5590)) - 4)?
124
Let x(f) be the first derivative of -3*f - 14*f**2 - 1/4*f**4 + 10 - 14/3*f**3. Calculate the remainder when x(-12) is divided by 12.
9
Suppose -2*k - 328 = -5*q, 3*q - 8*k - 200 = -6*k. Calculate the remainder when q is divided by 62.
2
Let b = 40524 + -40506. What is the remainder when 1192 is divided by b?
4
Let m = 1002 + -500. Let i = 550 - m. Calculate the remainder when i is divided by 3.
0
Let g be (-58)/(-6) - 8/12. What is the remainder when 34 is divided by g/6*((-10)/(-3) - 0)?
4
Let r(o) = -37*o - 1. Let z be r(-1). Suppose 2*s = -2*s + z. Let u(n) = -41*n**3 + 3*n**2 + 3*n. What is the remainder when u(-1) is divided by s?
5
Suppose -3*g + 5*a + 815 = 0, 3*g + 4*a = -g + 1076. Suppose -z = -7*z + g. Let x = z + -16. Calculate the remainder when 115 is divided by x.
28
Let v(f) be the first derivative of 14*f**2 - 4*f + 13. Calculate the remainder when v(4) is divided by 14.
10
Calculate the remainder when (-1101)/(5*(-39)/260) is divided by 70.
68
Let y = 138 + -53. Let z = 66 - y. Let q(x) = -2*x + 18. What is the remainder when q(z) is divided by 15?
11
Suppose 11*c - 9 = 8*c + 2*q, c = -q + 8. Calculate the remainder when 27 is divided by (-2 + -5 + c)*119/(-14).
10
Suppose 4*z = 4*m + 24, 5*z - 72 = 444*m - 446*m. Calculate the remainder when 623 is divided by z.
11
Suppose 0 = 2*k + 14 + 16. Let b = 8 + -11. Let u = b - k. What is the remainder when u is divided by 4?
0
What is the remainder when (-3475)/(-3)*(23 - 18 - 2) is divided by 120?
115
Let w = 5 - -39. Let v = w - 37. What is the remainder when 25 is divided by -6 - -2 - (v - 18)?
4
Let t(q) = -1 + 61*q**2 + 3 + 11*q - 12*q - 1. What is the remainder when 313 is divided by t(-1)?
61
Suppose 0 = 14*z + 45 - 1375. Calculate the remainder when 293 is divided by z.
8
Suppose -5 = -8*y + 3. Let v(p) = -30*p - 5. Let z(u) = -29*u - 4. Let s(d) = 3*v(d) - 4*z(d). Calculate the remainder when 53 is divided by s(y).
26
Suppose -407 = 4*n - 415, 2*n = 5*i - 6341. What is the remainder when i is divided by 30?
9
Suppose 0 = 5*z + 25, 2*z - 2 = 3*m - 42. Suppose 6*t - 2*t + 8 = 0. What is the remainder when -38*(0 + 3/t) is divided by m?
7
Let p(o) = -o**3 - 4*o**2 - 1 + 7*o + 0*o + 2*o. Calculate the remainder when 132 is divided by p(-6).
13
Calculate the remainder when 128 is divided by (((-13080)/(-45))/(4/6))/4.
19
Let l(c) = -c - 6. Let s be l(-5). Suppose -432*r + 4269 = -3507. Calculate the remainder when 1 + 87*s*-1 is divided by r.
16
Let n(l) = -l**3 + 7*l**2 - 4*l + 137. What is the remainder when 1180 is divided by n(8)?
32
What is the remainder when 402 is divided by (-39)/6*(0 - 0 - 2)?
12
Suppose 477*j - 3*k =