What is the remainder when k is divided by z?
0
Let p(l) = -70*l + 8. Calculate the remainder when p(-6) is divided by (-3)/(66/2420*-11).
8
Let o(g) = -5*g + 210. Let x be o(13). Suppose 2*s + 51 + 5 = 0. Let v = s + x. Calculate the remainder when v is divided by 12.
9
Let p(t) = -2*t**3 - 6*t**2 - 11*t + 1. Suppose 0 = 2*f - 44 + 8. What is the remainder when p(-4) is divided by (312/f - 0)*6/4?
25
Suppose -24 + 10 = 74*d - 162. Let b(w) = 5*w**2 + 4*w + 3. Let g be b(4). Suppose 7*t - g = -d*t. Calculate the remainder when t is divided by 4.
3
Suppose 4*s - 208 = -3*c, 5*s - 235 = -5*c + 115. Suppose 0 = -15*v + 453 + c. Calculate the remainder when v is divided by 19.
16
Let j = -131 - -208. Suppose -2*v + 4*v - 2*f = -10, f + 19 = -2*v. What is the remainder when j is divided by (v/(-10))/(-3 - 394/(-130))?
25
Suppose 4*m - 13 = -3*p, -3*m - 2*m - 5*p + 10 = 0. What is the remainder when 281 is divided by (-3 + 79/m)*(6 - -1)?
49
Let r(o) = -4*o**2 + 12*o - 3. Let j be r(8). Let b = -129 - j. Calculate the remainder when 97 is divided by b.
29
Suppose n + 2*n = -29*n + 480. What is the remainder when 818 is divided by n?
8
Let u(s) = 38*s**2 - 127*s + 126. What is the remainder when 219 is divided by u(1)?
34
Suppose -6*q - 7 = -319. Let p(c) = c**3 - 12*c**2 - 13*c - 3. Let z be p(13). What is the remainder when q is divided by z - 14/4*-4?
8
Let b(q) = -185*q + 112. What is the remainder when b(-1) is divided by 12?
9
Suppose -h = 4*h - 5*p - 275, -h - p = -51. Let a(n) = -n + 18. Calculate the remainder when h is divided by a(-6).
5
Suppose 2*i + 5*x - 347 = 844, 0 = i + 8*x - 568. What is the remainder when i is divided by 69?
56
Suppose 15 = 2*b + 5. Suppose 18 = 2*s - 2*h, -2*s + 0 = b*h - 18. Let q(m) = 2*m**2 - 16*m + 83. What is the remainder when q(4) is divided by s?
6
Suppose 16*y + 1813 = 51*y + 14*y. What is the remainder when 53 is divided by y?
16
Let q = -9908 - -11669. What is the remainder when q is divided by 14?
11
Let i = 152 - 142. Let c = 432 + -416. Calculate the remainder when c is divided by i.
6
Suppose -12 = -18*p + 15*p. Suppose -519 = -y + 2*d, -p*y + 2*d + 1549 = -y. What is the remainder when y is divided by 12?
11
Suppose 0 = -3*s + 13 + 38. Let c be (1 + (-14)/(-6))*3. Suppose 30 = 2*y + c. Calculate the remainder when s is divided by y.
7
Let m be (-5 + 27/6)*1000. Let o = -409 - m. Calculate the remainder when o is divided by 31.
29
Let u = -5 + 21. Let q = 272 - 265. Suppose -2*p = 5*r - q*r - 2, -r - 9 = -3*p. What is the remainder when u is divided by p?
0
Let b(l) = 2*l**2 + 7*l + 5. Let a(w) = 16*w - 26. Let h be a(4). Suppose -5*r + d + 31 = 0, h*d - 34*d = -4. What is the remainder when b(-4) is divided by r?
3
Suppose 10*t = -4*t + 4536. Let n = -233 + t. What is the remainder when n is divided by 19?
15
Let u = -40 - -66. Let z = -9392 - -9480. What is the remainder when z is divided by u?
10
Let p(b) = 4*b - 6. Let m(q) = -q**3 + 54*q + 149. What is the remainder when m(-6) is divided by p(5)?
13
Let d(x) = 438*x - 5 + 21 - 224*x - 217*x. Calculate the remainder when 58*1*(-2)/(-4) is divided by d(0).
13
Suppose -60 - 163 = -g - 4*x, -2 = -x. Calculate the remainder when g is divided by 14.
5
Let o = 753 - 1115. Let u = o - -396. What is the remainder when 131 is divided by u?
29
Let b = -27 - -30. Let w(l) = 5*l**2 + 1 - b*l**2 - l - 2. Calculate the remainder when w(-2) is divided by 5.
4
Suppose 5*b + 108 = 78. What is the remainder when 699*(b - -3)/(-9) is divided by 59?
56
Suppose 3*k + 34 = -5*n, 2*k = -22*n + 19*n - 22. Calculate the remainder when (-500)/k + -4 + 7/14 is divided by ((-60)/(-14))/(1/7).
29
Suppose 4*y = 4*d - 399 + 2003, -7*y - d = -2767. Calculate the remainder when y is divided by 13.
6
Suppose o = 26*s - 23*s - 11, -3*s + 3*o + 9 = 0. Suppose 705 = s*c - 299. Calculate the remainder when c is divided by 11.
9
What is the remainder when (-98)/21*(0 + -105) is divided by 25?
15
Let j = -1152 - -1156. Suppose 3*q - 96 = -2*y, 0*q + q + y - 33 = 0. Calculate the remainder when q is divided by j.
2
Suppose 0 = 4*q - 3*l - 170, -20 - 19 = -q - l. Calculate the remainder when 120 is divided by q.
38
Suppose -x + 2843 = 3*i, 72*i + 4741 = 77*i + 2*x. What is the remainder when i is divided by 340?
265
Suppose 0 = 2*a + 196 - 198. Let z(s) = -s**3 - 5*s**2 - 6*s - 4. What is the remainder when (-2)/a*(-80)/32 is divided by z(-4)?
1
Let w(c) = -16*c - 150. Let j(s) = -17*s - 151. Let q(g) = -2*j(g) + 3*w(g). What is the remainder when q(-12) is divided by 2?
0
Calculate the remainder when 1579 is divided by 10/(-4)*(-177 + -9).
184
Suppose 12364*k + 140 = 12369*k + 2*z, 3*k - 58 = 4*z. Suppose 2*o = 580 - 118. Calculate the remainder when o is divided by k.
23
Calculate the remainder when 295 is divided by (1668/(-1529))/((-5)/165).
7
Let a be -4 + (1 - (-135 - -2)). Let v(u) = u**2 - 12*u - 76. Let r be v(18). Let k = a + r. Calculate the remainder when k is divided by 41.
39
Suppose 2*l - 265*t - 1507 = -262*t, -4*l - 2*t = -3038. What is the remainder when 766 is divided by l?
8
Suppose -4*u + 216 = -215 + 191. Calculate the remainder when 761 is divided by u.
41
Suppose 4*f - 343 = -0*f - 3*f. What is the remainder when 733 is divided by f?
47
Suppose -3*d + 4*d = 38. Let t be (-1 - -1)/((-33)/(-33)). Suppose -8*y + 0*y + 80 = t. Calculate the remainder when d is divided by y.
8
Suppose -18340 = -70*b + 27857 - 7067. What is the remainder when b is divided by 70?
69
Let o = -32703 + 32926. Calculate the remainder when o is divided by 55.
3
Suppose -5*m - 464 + 34 = 0. Let n = -53 - m. Suppose 0 = -s - 2*o + 8, -5*s - 2 = -2*o - 102. What is the remainder when n is divided by s?
15
Suppose 6*b = 5*b + 411. Let w = -386 + b. Calculate the remainder when 81 is divided by w.
6
Let z be (52/156)/((-2)/(-72)). Suppose 819 = z*k + k. Calculate the remainder when k is divided by 22.
19
Let b = 116 - 74. What is the remainder when 456 is divided by b?
36
Let j(r) = r**3 - 38*r**2 + r - 25. Let i be j(38). Let z(s) = 44*s - 25. Calculate the remainder when z(i) is divided by 69.
64
Let q be (-110)/9 + (-2)/54*-6. What is the remainder when (-3935)/(-45) + q/27 is divided by 15?
12
Suppose -6 = -24*w + 21*w. Suppose 0 = 3*f + 4*k - 132, 258 = 5*f + w*k + 38. Let n = f + -20. Calculate the remainder when 119 is divided by n.
23
Let q(f) = 22*f**2 - 1. Suppose -2*n - 5*k + 6*k = -2, 3*n + 3*k = -15. Calculate the remainder when 142 is divided by q(n).
16
Let z(r) = -230*r - 2586. What is the remainder when z(-12) is divided by 158?
16
Suppose -1645*m + 1640*m = 35, 5*m + 18429 = 2*g. What is the remainder when g is divided by 184?
181
Let u(n) = -n**2 - 12*n - 81. Let x be u(-20). Let m = 257 + x. What is the remainder when 41 is divided by m?
9
Let f(q) = -27 + 48 - 11*q + q**2 - 30. What is the remainder when 743 is divided by f(17)?
92
Suppose 23043*l - 493 = 23026*l. Calculate the remainder when 3855 is divided by l.
27
Suppose -89*q + 629*q + 68377 - 195817 = 0. Suppose -160 = -0*g - 4*g. What is the remainder when q is divided by g?
36
Suppose j + 2*j - 19*j + 4848 = 0. Calculate the remainder when j is divided by 97.
12
Suppose 2*h + 2*w = 24, -5*h + 4*w = -2*h - 43. Suppose 9*d = 6*d + 4*f + 276, -f - 443 = -5*d. Calculate the remainder when d is divided by h.
10
Let k(q) be the first derivative of q**4/4 - 2*q**3/3 - 7*q**2/2 + 10*q - 52. Calculate the remainder when 19 is divided by k(4).
5
Suppose -310*k - 18466 = -43615 - 29721. What is the remainder when k is divided by 61?
55
Suppose -z + 76 = q, -3*q - 161 = -4*z - 347. Calculate the remainder when 146 is divided by q.
6
Let f = -613 + 673. What is the remainder when 1319 is divided by f?
59
Let c = -20 - -33. Suppose -35*o = -54*o. Suppose -4*t + 69 + 15 = o. Calculate the remainder when t is divided by c.
8
Suppose 17*j - 914 - 208 = 0. What is the remainder when 4223 is divided by j?
65
Let c = -741 + 1245. Suppose 4*s + c = 4*q, -5*s - 6 = -21. Calculate the remainder when q is divided by 6/33 + (8/(-5) - (-24609)/715).
30
Let h = 1909 + -1858. Calculate the remainder when 311 is divided by h.
5
Suppose 0 = -0*z - z + 2. Let i(m) = 2*m**3 - 2*m**2 + 4*m - 3. Let n be i(z). Suppose 448 = n*k - 111. What is the