0/39 + c)?
23
Suppose 50*j = -50*j - 9*j + 126331. What is the remainder when j is divided by 69?
55
Let x = 2903 + -2687. Calculate the remainder when x is divided by 92.
32
Let h(u) = -3*u**2 + 154*u + 197. Calculate the remainder when h(46) is divided by 53.
32
Let w = -340 + 2966. What is the remainder when w is divided by 9?
7
Let a = -71 - -76. Suppose 3*x + x = -5*p + 25, 5*x + a = p. Suppose -13*m - p*m + 1062 = 0. What is the remainder when m is divided by 15?
14
Let z = 8865 - 8757. What is the remainder when 379 is divided by z?
55
Let l be (4 + 5)/(3/(-4)*-2). Suppose 0 = -l*h + 13*h - 35. What is the remainder when 24 is divided by h?
4
Let h(g) = -g**3 + 84*g + 47. Calculate the remainder when 461 is divided by h(0).
38
Suppose 67 + 28 = j - 2*w - w, 0 = 3*w - 18. Let x = 35 + -18. Calculate the remainder when j is divided by x.
11
Suppose -2*a - 5 = -2*d - 1, 3*d = -a + 6. Suppose -3*b + d*s = -4*b + 30, -5*s = -20. Calculate the remainder when b is divided by 12.
10
Let y(j) be the second derivative of 16*j**3/3 - 21*j**2 + j + 41. Calculate the remainder when 195 is divided by y(2).
19
Let v = 6 + -10. What is the remainder when 1/(-3)*(67 + -166) is divided by 9/v*(4 + -12)?
15
Let r be 1/(-4) + (-63)/(-28). Suppose r*n - 17 = n. Suppose 882 = c + 4*f + 786, -2*c = -f - 120. What is the remainder when c is divided by n?
13
Suppose 2*c - 4*z + 5*z - 114 = 0, -6 = 3*z. What is the remainder when -34 + 29 - 0 - -352*1 is divided by c?
57
Suppose -6*p + 2*p = -184. Let g = p - 28. Calculate the remainder when (0 - 188/(-3))/((11252/87)/97) is divided by g.
11
Let l = 361 - 242. Let b = l + -28. Let k = -72 + b. Calculate the remainder when 32 is divided by k.
13
Let h be (476/(-6))/2 + 2/(-6). Let x = 42 + h. Suppose 22*p + x = 23*p. What is the remainder when 15 is divided by p?
1
Let a(s) = -173*s - 96. Let h be a(3). Let l = h - -664. Calculate the remainder when 536 is divided by l.
46
Let s(y) = -13*y - 22. Let p be s(-2). Suppose 5 = -q, 56 = p*z + 66*q - 70*q. What is the remainder when 51 is divided by z?
6
Calculate the remainder when ((34/102)/((-1)/2202))/(-2) is divided by 53.
49
Suppose g - 4*y - 61 = 0, 5*g - y = 197 + 32. Let t = 20 - 44. Let r = -12 - t. Calculate the remainder when g is divided by r.
9
Suppose 2*l + 2076 = 2*r, 4*r - 4194 = -672*l + 670*l. Calculate the remainder when r is divided by 50.
45
What is the remainder when 416 is divided by (-2072)/(-9) - -6 - 8/36?
180
Suppose -2*q = -4*q + 4*q. Let i(w) = w + 2. Let m be i(q). Suppose 6*p - m*p - 160 = 0. Calculate the remainder when 199 is divided by p.
39
Let h = -39122 + 45903. What is the remainder when h is divided by 57?
55
Let r(g) = 30*g - 13. Let p = -23 - -33. Let t be r(p). Let n = -173 + t. Calculate the remainder when n is divided by 29.
27
Let r = -48 - -100. Suppose 0 = 3*y + 23 + r. Let b = 52 - y. What is the remainder when b is divided by 27?
23
Let z(q) = -104*q - 321. What is the remainder when z(-6) is divided by (3 - 3/(12/(-244))) + -3?
59
Suppose -q = -5*v - 29, -8*q = -3*q - v - 25. Suppose -5*a - 24 = 6. Calculate the remainder when 58/6 - (-4)/a is divided by q.
1
Calculate the remainder when (42 - 1) + 0/170 is divided by 13.
2
Let d(n) = n**2 - 5*n + 8. Let v = -199 - -287. Let p = v - 84. What is the remainder when 10 is divided by d(p)?
2
Suppose g = j + 9, 4*g + 5*j - 144 = -54. What is the remainder when 5/(10/4) + 42 is divided by g?
14
Suppose -467 = 4*s - 15*s + 6694. What is the remainder when s is divided by 43?
6
Suppose -571 = -2*j - 2*v - 451, -3*v - 275 = -4*j. What is the remainder when 1114 is divided by j?
9
Let p(z) = 6*z**2 - 121*z - 702. What is the remainder when p(70) is divided by 289?
287
Suppose 2*h = -2*v - 0*v, 2*h = 2*v. Suppose -4*c + 3*c = -3*b + 218, v = -5*b + 5*c + 380. What is the remainder when b is divided by 20?
11
Let d(q) = -342*q + 1907. Calculate the remainder when d(5) is divided by 40.
37
Suppose -32*d - 85 + 1584 = -3973. Calculate the remainder when 1189 is divided by d.
163
Let q(k) = 40*k**2 - 4*k - 7. Let g be q(-2). Let c = -148 + g. Calculate the remainder when -84*((-5)/2 - -2) is divided by c.
3
Let w = -885 - -961. What is the remainder when 487 is divided by w?
31
Let j(m) = 2*m**2 - 8*m - 9. Let x be (-2 + (21 - 3))/(6/9). Suppose x*c = 23*c + 7. What is the remainder when j(c) is divided by 19?
14
Let j = 6375 + -6196. What is the remainder when j is divided by 94?
85
Suppose 295*o - 1220058 + 264553 = 0. Calculate the remainder when o is divided by 180.
179
Let b(v) = v**2 - 4*v + 16. Let a be ((-15)/9)/(9/54). Let l be b(a). Calculate the remainder when 51 is divided by (l/(-36))/(3/(-18)).
25
Let p be (-85)/(-15)*6/2. Let f(t) = -t**2 + 23*t + 9. What is the remainder when f(p) is divided by 19?
16
Suppose -43763 = -222*n + 177*n - 11903. What is the remainder when n is divided by 259?
190
Suppose -2*p = 4*b - 1540, -20*b + 18*b - 5*p + 778 = 0. What is the remainder when b + -3 + (-5 - -8) is divided by 9?
6
Let k(v) be the second derivative of -v**3/2 - 15*v**2 + 52*v. Let j be 16/(1 - 2)*1. Calculate the remainder when 88 is divided by k(j).
16
Let o = -1542 - -1695. Calculate the remainder when 455 is divided by o.
149
Suppose v + 3*b = -0*v + 241, 0 = -4*v - 4*b + 988. Let d = -3136 - -3159. What is the remainder when v is divided by d?
20
Suppose -1045*r + 227*r + 66258 = 0. Calculate the remainder when 360 is divided by r.
36
Suppose 5*n = 3*m - 2, n + 3*m + 2 = 4*m. Suppose 0 = 2*p - 5*p. Suppose p = -h + 3. What is the remainder when h is divided by n?
1
Suppose j + 0 = -3. Let t be ((-1)/(-2))/((-49)/(-16) + j). Suppose t*p = -0*p + 112. Calculate the remainder when 22 is divided by p.
8
Suppose 240*l = 51*l + 1890. Calculate the remainder when 9519 is divided by l.
9
Let b(g) = -g**2 - 15*g + 21. Let y be b(-16). Suppose 5*h - 410 = -y*i, 0*i + 2*i - h = 152. What is the remainder when i is divided by 41?
37
Let n(u) = -u**3 - 2*u**2 + 4*u - 121. Calculate the remainder when 2395 is divided by n(-7).
91
Let p(t) = -7*t**2 - 21*t + 6. Let a(g) = -8*g**2 - 21*g + 7. Let d(w) = -5*a(w) + 6*p(w). Calculate the remainder when d(-9) is divided by 16.
12
Let l(k) = -101*k + 8 + 1 + 124*k - 2 - k**2. What is the remainder when l(9) is divided by 68?
65
Suppose -243 = -17*k - 56. Suppose 0 = -k*u + 71 + 138. Calculate the remainder when 112 is divided by u.
17
Suppose f + 18 = 2*i, 3*i - 28 = -f + 2*f. Let v = 79635 + -79590. What is the remainder when v is divided by i?
5
Let j(i) = 13*i**2 - 233*i + 1176. Calculate the remainder when j(5) is divided by 267.
69
Let k = 14 - 24. Let o(w) = -w + 40. What is the remainder when (-544)/k - 4/10 is divided by o(32)?
6
Suppose -2*x = 4*p - 242, 0 = 163*p - 168*p - 3*x + 306. What is the remainder when 243 is divided by p?
15
Let i = 53 + -51. Suppose 14 + 4 = i*y. Suppose 0*f + 3*f + u - 80 = 0, 0 = -5*f + 4*u + 105. What is the remainder when f is divided by y?
7
Suppose 3*a - 16 = -5*a. Suppose -5*w + 385 = -z, 2*z - 172 = -a*w + 6*z. Calculate the remainder when 89 is divided by w.
13
Let u(i) = -2*i + 3*i**2 - 3*i - 2*i**2. Suppose 14 = 5*y + 4*x, -15 - 17 = 4*y - 4*x. What is the remainder when 109 is divided by u(y)?
11
Suppose -515 = -4*l + 3*y, 5*y - 35 + 0 = 0. What is the remainder when l is divided by 30?
14
Suppose -4*w = -5*t + 4941, 15*t + 4*w + w = 14755. Calculate the remainder when t is divided by 111.
97
Suppose -t = 5*o - 4186, 39*o - 34*o + 5*t = 4210. What is the remainder when o is divided by 3?
2
Let i = 23718 + -22123. Calculate the remainder when i is divided by 57.
56
Let n(c) = 129*c - 16770. Calculate the remainder when n(131) is divided by ((-38)/(-8))/((-3)/(-12)).
15
Suppose s = 4*b + 11943, -894*s + 5*b = -890*s - 47684. What is the remainder when s is divided by 14?
11
Let r = -18651 - -19615. What is the remainder when r is divided by 949?
15
Suppose -8*w = -3*g - 9*w - 97, -2*g - 2*w = 58. Let d = 266 + -186. Let j = d + g. What is the remainder when j is divided by 10?
6
Let x(k) = -2*k**3 + 20*k**2 + 77*k + 52. Calculate the remainder when x(-3) is divided by 42.
13
Let j(t) = -t**3 + 12*t**2 + 32*t - 57. Let y be -2*(-2)/(-16) + (-477)/(-36). What is the remainder when j(y) is