 = p - -117. Suppose -34 = -q + y*a, -5*q + 108 = -q - a. Calculate the remainder when q is divided by 9.
8
Suppose -20*f + 3*g = -24*f + 581, -5*f = -2*g - 709. Calculate the remainder when 332 is divided by f.
46
Suppose 30 = 2*c - 0*c + 3*m, -60 = -4*c + 3*m. Let d = -98 + 75. Let b(l) = l**3 + 24*l**2 + 21*l - 43. What is the remainder when c is divided by b(d)?
0
Let k(j) = 45*j**2 + 563*j - 1119. Calculate the remainder when k(2) is divided by 96.
91
Suppose 3*k - 4*w = 1530, 79*k = 78*k + w + 511. Calculate the remainder when k is divided by 129.
127
Let d(p) = 797*p**2 - 119*p - 453. What is the remainder when d(-4) is divided by 17?
8
Suppose -4*m = 41 - 621. Suppose 5*t - m = 230. What is the remainder when t is divided by 19?
18
Let v = 31 - 29. Suppose 0 = -3*w + 3*a - 4*a + 22, -v*a + 8 = 0. Calculate the remainder when 22 is divided by w.
4
Let c(o) = o**3 + 3*o**2 + 2*o + 8. Let k be c(-3). Suppose -r + 140 = 5*s, -4*s = r - k*r - 112. Calculate the remainder when s is divided by 9.
1
Let o(z) = -z**2 - 9*z - 1261 + 1205 + 33*z. Calculate the remainder when o(17) is divided by 13.
11
Suppose 9 + 135 = -6*m. Let z(i) = -i**3 - 25*i**2 - 22*i + 18. Let x be z(m). Let p = x - -62. Calculate the remainder when 125 is divided by p.
29
Let g be -1*(1 + 1 + -2) - 37. Let t = 44 + g. Suppose r - 9 = 9. What is the remainder when r is divided by t?
4
Let s = 8 - 4. Suppose -s*k + 72 = c, 4*c - 81 = -5*k + 5*c. Let t = -484 - -533. Calculate the remainder when t is divided by k.
15
Let b(w) = 100*w**2 - 18*w - 9. Let s be b(-9). What is the remainder when s/54 - 2/(-12) is divided by 39?
36
Suppose -5*f - 15*h + 12*h + 71 = 0, 95 = 5*f - 5*h. Suppose 3437 + 2019 = f*g. Calculate the remainder when g is divided by 117.
107
Let y(m) = 8*m**2 + 125*m + 34. Calculate the remainder when y(-18) is divided by 169.
38
Let y(q) = 31*q - 416. Let k = 0 - -3. Suppose 12 + 18 = k*j. Calculate the remainder when y(15) is divided by j.
9
Let a be 6/7*42/12. Suppose -7*y + 3*o = -4*y - 354, a*y + 4*o - 347 = 0. What is the remainder when y is divided by 30?
27
Let z(i) = 9*i + 5*i + 45*i**2 + 38 + i**3 + 23*i + 7*i. What is the remainder when z(-44) is divided by 14?
10
Let u be (4/6)/1*(5 - -1). Suppose -4 = l - 3*j, 6 = -2*l + l + u*j. What is the remainder when 9 is divided by (4*5/10)/(1/l)?
1
What is the remainder when -3*(4 - (-50)/(-30) - (-7256)/(-12)) is divided by 165?
157
Let f(m) = -m**2 + 3*m + 276. Let s(x) be the third derivative of x**5/30 + x**4/8 - 11*x**2. Calculate the remainder when f(17) is divided by s(-4).
18
Let z = 513682 - 513598. Suppose 4*h + 0*h = -k + 61, -4*h + 5*k + 55 = 0. What is the remainder when z is divided by h?
9
Suppose 0 = 3*y - 12, 2*b - 12540 + 2594 = 2*y. Calculate the remainder when b is divided by 10.
7
Let l(t) = 25*t + 7 - 26 + 5*t. Let w be l(-7). Let q = -124 - w. What is the remainder when q is divided by 36?
33
Suppose -11*d + 8341 - 4975 = 0. What is the remainder when d is divided by 76?
2
Let r(v) = v**3 + 12*v**2 - 14*v + 50. Calculate the remainder when r(-13) is divided by (3/4)/(((-114)/72)/(-19)).
0
Let d be 2/4 - 27/(-6). Let k = 641 + -637. Calculate the remainder when d/2*(-52)/(-10) is divided by k.
1
Suppose -53275 + 2750 = -215*w. What is the remainder when w is divided by 104?
27
Suppose 7011*z = 7001*z + 450. Suppose 426 + 399 = 5*q. Calculate the remainder when q is divided by z.
30
Let a(c) = c**3 - 35*c**2 + 281*c - 13. What is the remainder when a(24) is divided by 23?
4
Let r(j) = j**3 - 8*j**2 - 14*j - 8. Let q be r(7). Let k = -145 - q. Let a = 5 - 1. What is the remainder when k is divided by a?
2
Let h = -3349 + 3722. What is the remainder when h is divided by 70?
23
Let s(p) = -46*p - 13*p**2 + 87*p - 55*p + p**3 + 21. Calculate the remainder when 0 + (61 - 1 - 1) is divided by s(14).
17
Let u(n) = -274*n + 1942. What is the remainder when u(-17) is divided by 52?
48
Let q(r) = -20*r. Let x(d) = -39*d - 1. Let o(z) = -5*q(z) + 2*x(z). Calculate the remainder when o(13) is divided by 41.
38
Suppose 20 = 3*r + 5. Suppose 5*u - 167 = -w, 2*w - 320 = r*u - u. Calculate the remainder when w is divided by 28.
22
Let w(j) = 0 + 10*j + 17 + 451*j**2 - 450*j**2. What is the remainder when 101 is divided by w(-11)?
17
Let c = 174 - 170. Suppose -3*w + 3*s + 71 = 8*s, -c*s = 4*w - 92. Calculate the remainder when 84 is divided by w.
18
Suppose 14*p - 185 = -3*n + 10*p, 2*n - 3*p - 146 = 0. Let r = -424 - -623. Calculate the remainder when r is divided by n.
65
Suppose -14*d = -141*d + 2413. What is the remainder when 56 is divided by d?
18
Let v be 50/14 - (-39)/91 - -499. Suppose 5*n - 1275 = -4*x, -2*n = -3*x + 6*x - v. Calculate the remainder when n is divided by 33.
28
Let d(h) = -h**3 - 11*h**2 + 12*h - 25. Let y be d(-10). Let j = -229 - y. What is the remainder when 25 is divided by j?
9
Let u = 14 + 4. Let f be (-1 - 2/4)/((-3)/u). Suppose -f*o + 5*o = -24. Calculate the remainder when 17 is divided by o.
5
Suppose -27*o + 5*o = 44. What is the remainder when (-28)/(-98) + 2194/14 + o is divided by 32?
27
Let f(w) = -w**2 - 45*w + 313. Calculate the remainder when 999 is divided by f(-51).
5
Let j(o) = o**2 - 14 + 5*o + 3*o**2 + o**2 - 4*o**2. Let n(y) = 4*y**2 - y + 4. Calculate the remainder when j(6) is divided by n(2).
16
Let j(o) = o**3 + 44*o**2 - 7*o - 92. Calculate the remainder when j(-44) is divided by 108.
0
Calculate the remainder when 339 is divided by (102/18 - -1)*(-11)/(-22)*6.
19
Suppose 0*s + 3*s - 63 = 0. Let r = s + -28. Calculate the remainder when (197 - -4)/(-4 - r) is divided by 34.
33
Suppose -z = 2 - 7. Let o(q) = -7*q - 134. Let v be o(-21). Suppose 0 = 4*i + 5*x - 53, 0 = i - v*x + 12*x - 20. Calculate the remainder when i is divided by z.
2
Let j(v) = 5*v - 3. Let t be j(2). Suppose 13*k - 9*k - 2 = -s, 5*k - 40 = -5*s. Suppose 0 = -s*o + t*o + 384. Calculate the remainder when o is divided by 26.
24
Let m(r) = -3*r**3 - 20*r**2 + r - 5. Let b be m(-5). Let x = -106 - b. Calculate the remainder when x is divided by 10.
9
Let y(n) = -n + 2. Let u be y(-14). Suppose -3*l = b - 2, 3*b - 2 + u = l. What is the remainder when 56 is divided by 19*(-1 - 2 - b)?
18
Let j(k) = 15*k**2 + 6*k + 13. Let n be j(-2). Suppose 27 = t - 3*s, 3*t + 5*s = 10*s + n. What is the remainder when 45 is divided by t?
9
Suppose -2*o + 109 = 34 + 47. What is the remainder when 5190 is divided by o?
10
Let y(b) = 4*b + 1 + 97*b**3 + 5 + 0*b**2 + 2*b**2 - 99*b**3. What is the remainder when y(-3) is divided by 10?
6
Suppose 0 = 12*s - 14*s - 440. Let z = 336 + s. What is the remainder when z is divided by ((-12)/(-5))/(((-108)/450)/(-2))?
16
Let z = 55 + -27. Suppose -y + 0 - 2 = 0. What is the remainder when z is divided by 10 + 0*y/2?
8
Let h = -27 + 27. Suppose -m + h*m + 5 = b, b - 2*m + 4 = 0. Suppose b*y - 78 = -4*y. Calculate the remainder when 49 is divided by y.
10
Suppose -274*n + 293 = 2*b - 277*n, 0 = 5*b + 2*n - 704. What is the remainder when 294 is divided by b?
10
Let d = -58 + -157. Calculate the remainder when 7 + -1 - d/5 is divided by 15.
4
Suppose 5*w = -5*d + 2*w + 110, -d + 2*w = -9. Let b be 5/(15/(-21)) - -658. Let m = b + -557. What is the remainder when m is divided by d?
18
Let a = -425 + 446. What is the remainder when 98 is divided by a?
14
Suppose 3*p - 13926 = -13902. What is the remainder when 86 is divided by p?
6
Suppose -5*w = -3*i + 181, 0 = 4*i + 3*w - 44 - 236. Suppose 0 = i*u - 65*u - 20. Calculate the remainder when u is divided by 6.
4
Suppose -1710*t + 180 = -1698*t. Let o(y) = -y**3 + 9*y**2 + y - 4. Let s be o(9). What is the remainder when s/(-1) + 2 + 166 is divided by t?
13
Let y be 6*(-153)/(-54)*4. Suppose 2*t + y = 8*m - 4*m, 4*t = 3*m - 61. What is the remainder when (29/3)/((-1)/(-6)) is divided by m?
13
Let a = 42802 + -42505. Calculate the remainder when a is divided by 141.
15
Let n(s) = 346*s + 1795. Calculate the remainder when n(-4) is divided by 225.
186
Let f = 2570 - 1211. What is the remainder when f is divided by 20?
19
Let m = -255 - -272. Suppose 8*f = m*f - 1674. Calculate the remainder when f is divided by 17.
16
Let g(v) = v**2 - 6*v + 1. Let t be g(6). Let a(h) = 3*h + 4*h**3 - h**2 - 4*h + 2 - h + 88*h*