. What is the remainder when 174 is divided by s?
56
Let b = 162 - -162. Suppose -2*k + 16 = 2*k. Suppose -k*m + b = 2*a, -5*m - 2*a + 431 = -6*a. Calculate the remainder when m is divided by 28.
27
Let h(c) = 17*c + 1. Let g = -87 + 81. Calculate the remainder when h(2) is divided by (-4 - 200/(-32))/(g/(-32)).
11
Suppose 5*r = 145 - 695. Let v = -84 - r. Calculate the remainder when 94 is divided by v.
16
Let g = -187 + 180. Calculate the remainder when 62 is divided by (-3)/g - (1385/(-35) + 5).
27
Let t(p) be the second derivative of -19*p**3/3 - 51*p**2/2 - 36*p. Let f be t(6). Calculate the remainder when 3/12 + f/(-4) is divided by 19.
13
Let a(x) = 751*x - 1394. What is the remainder when 1292 is divided by a(2)?
104
Let n = 24 - 21. Suppose -5*i = -5*r - 500, -i + 3*r - 190 = -n*i. Calculate the remainder when i is divided by 15/(1 + 3/(-12)).
18
Let m(j) = 3*j**3 - 2*j**2 - 2*j + 117. Calculate the remainder when m(0) is divided by 106.
11
Suppose 914*o = 910*o + 1628. Calculate the remainder when o is divided by 82.
79
Let y(k) = 2*k**2 - 25. Let f be y(-4). Suppose 904 = f*z - 272. What is the remainder when z is divided by 44?
36
Suppose 0 = -5*u - 10 + 85. Suppose 4*j - p - p = -10, u = -j + 3*p. What is the remainder when 14 is divided by 4/(-2) - 11/(j - 1)?
5
Let a be (-2)/(1 - (-381)/(-387)). Let n = -47 - a. Suppose -28 = -g - 0. Calculate the remainder when n is divided by g.
26
Suppose 4*u + u = -10, -3*m + 2*u = -1507. Calculate the remainder when m is divided by (25 + -10 - -1) + (2 - 0 - 0).
15
Let k(r) = -r - 1. Let p be k(-6). Suppose 0*l = p*l - 55. What is the remainder when l is divided by 4/(-7) - 689/(-91)?
4
Let o(i) = -3*i**3 + 13*i**2 - 6*i - 14. Suppose -l + 38 = 4*c - 101, 5*c = l - 139. Calculate the remainder when l is divided by o(3).
3
Let m be ((-3 - -2 - 0)*-1)/1. Let f(n) = 4*n**2 + 3*n**2 - 4*n - 6*n**2 - m. Calculate the remainder when f(8) is divided by 17.
14
Let t(h) = -h**3 + 3*h**2 + 4*h. Let v be t(-4). Suppose -4*i = -20, 3*i + 103 - 20 = r. Let a = r - v. Calculate the remainder when a is divided by 2.
0
Let c = 33 - 8. Let i = 40 - c. Suppose 5 = w - i. What is the remainder when 59 is divided by w?
19
Suppose -104*g + 57 = -100*g - 3*w, 2*w + 6 = 0. What is the remainder when 356 is divided by g?
8
Let w(y) = -2*y**2 + 57*y - 23. Let f be w(12). Let u = -114 + f. Let d = -4 - -17. Calculate the remainder when u is divided by d.
12
Suppose -22 = -3*h + 77. Let d = -3376 + 3671. Calculate the remainder when d is divided by h.
31
Suppose -135*n - 5*n - 12*n + 8208 = 0. What is the remainder when 121 is divided by n?
13
Let v(l) = 2*l - 43. Let o be v(9). Let c(x) = -2*x**2 - 56*x - 77. What is the remainder when c(o) is divided by 25?
23
Suppose -i - o = 6, i - 3*o = -3*i + 4. Let z be (11 - 8)/(i/390). Calculate the remainder when 10/(8/60 + 33/z) is divided by 22.
20
Let a = 9137 - 7371. Calculate the remainder when a is divided by 61.
58
What is the remainder when ((-13)/(195/(-2630)))/(10/3 - 3) is divided by 30?
16
Let m(j) = j**2 + 2*j - 5. Suppose 0*t = t + 6*t. Suppose 2*r + 3*h - 261 = -r, t = -4*r + 2*h + 378. Calculate the remainder when r is divided by m(4).
16
Suppose 2*h - 16288 = 86*a - 90*a, -4*h + 3*a + 32532 = 0. Calculate the remainder when h is divided by 10.
6
Let r(k) = -k**3 + 32*k**2 - 48*k - 244. Let s = -3 - -27. Suppose 0 = 2*p - p - s. Calculate the remainder when r(30) is divided by p.
20
Suppose 2*p = 848 + 2226. Suppose 4*g + p = 5*h, 0 = 2*h - 3*h + 4*g + 317. Calculate the remainder when h is divided by 17.
16
Let f be (6/(-5))/((-102)/(-340)). Let l(p) = 2*p**2 - 3*p - 13. Calculate the remainder when l(f) is divided by 12.
7
Suppose -5*k + 12*k = 35. Suppose -k*o + y - 37 = -253, 2*o = y + 87. Calculate the remainder when o is divided by 17.
9
Suppose 19*q + 1349 + 715 = 277*q. What is the remainder when 332 is divided by q?
4
Let v(y) = 10*y**3 - y**2 - y - 1. What is the remainder when v(2) is divided by (3 - -10 - -10 - -4) + 13?
33
Let j be 5/((-50)/80) + -10. Suppose a + 2*n - 3 = 2*a, 5*a + 7 = 2*n. Calculate the remainder when 95 is divided by j*a/(-2)*128/(-24).
47
Suppose -39 + 3 = -3*p. Suppose -5*x = -s + 148 + 21, -610 = -4*s - 2*x. What is the remainder when s is divided by p?
10
Let k(y) = y**3 + 3*y**2 - 20*y - 19. Let v be k(-6). What is the remainder when -9 + 4 - (v + -85) is divided by 31?
25
Suppose 19 = -5*c - 3*o, 12 + 1 = -2*c - 3*o. Let r(d) = 2*d**2 - 6*d - 3. Let l(g) = -51*g - 1. Calculate the remainder when l(-1) is divided by r(c).
16
Suppose -5*j + 6*j + 682 = 2*r, -5*r + 2713 = -4*j. Let n = j + 687. What is the remainder when 55 is divided by n?
10
Suppose -4*o + 6*o - w + 9 = 0, 5*o + 5*w - 15 = 0. What is the remainder when 248 is divided by (-50)/7*14/o?
48
Let d be (-2 - -2) + -2 - -4. Suppose d*b = 4*b - 144. Suppose -10*p - 5*a = -240, -5*a - 35 = -15*p + 14*p. What is the remainder when b is divided by p?
22
Suppose 62*i + 8182 + 12968 = 512*i. Calculate the remainder when 3005 is divided by i.
44
Suppose 4425 = 3*d + x, -31*x + 1451 = d - 28*x. Calculate the remainder when d is divided by 114.
110
Let d(s) = -3*s**3 + 9*s**2 + 10*s + 11. Let k(f) = -f**3 - f**2 - f + 1. Let x(n) = -d(n) + 4*k(n). What is the remainder when 203 is divided by x(-12)?
16
Let j = -128 - -74. Let h be 19*((-12)/j - (-14)/18). Suppose -q + h = 5*a, q - 55 = a + 3*a. Calculate the remainder when q is divided by 21.
18
Let f(c) be the first derivative of -9*c**2/2 - 87*c - 16. Suppose -g = 4*g - 100. What is the remainder when f(-18) is divided by g?
15
Suppose 2*u - 360 = y, -27 = -u - 2*y + 163. What is the remainder when u is divided by 108?
74
Suppose 0*c + 102 = 3*c. Let j = 50 - c. What is the remainder when j is divided by -209*34/(-1309) + (-4)/(-7)?
4
Let i(w) = -46*w - 84 - 53*w + 107*w. What is the remainder when i(17) is divided by 18?
16
Let j(l) = 10*l - 14*l + 13*l + 330. What is the remainder when 3*(1 + 7)*4 is divided by j(-33)?
30
Let i(j) = -j**2 - 37*j - 276. Calculate the remainder when 188 is divided by i(-13).
8
Suppose 24*o = z + 310, 13*o - 2*z = 8*o + 61. Calculate the remainder when 298 is divided by o.
12
Let i(k) = -k**3 + 27*k**2 + 43*k - 386. What is the remainder when 314 is divided by i(28)?
8
Let m(t) = 116*t**2 + 16*t + 15. What is the remainder when 149 is divided by m(-1)?
34
Let a(q) = q**2 - 6*q - 137. Let u be a(15). What is the remainder when 122 is divided by 2 - (u - 24/8)?
3
Let k be ((30/(-4))/3)/(5/(-60)). Suppose k = 1061*w - 1060*w. What is the remainder when 149 is divided by w?
29
Suppose -25*y + 46*y = 2415. What is the remainder when y is divided by 110?
5
Suppose 40 = 5*z - 3*z. Let u be (-15)/z + 19/4. Suppose 4*i - 3*g = -4*g + 104, g = u*i - 96. What is the remainder when 98 is divided by i?
23
Let q(j) = 491*j + 2*j**2 - 969*j - 39 + 484*j. Calculate the remainder when 117 is divided by q(-8).
35
Let d = -14 + 7. Calculate the remainder when d/(14/(-60)) + 1 is divided by -2*(-2)/(-22) - 316/(-44).
3
Let u(f) = 5*f + 746. What is the remainder when u(-45) is divided by 28?
17
Suppose -11*q + 2122 = 714. What is the remainder when 504 is divided by q?
120
Let h(z) = 2*z**3 - 10*z**2 - 2*z + 5. Let o be h(6). Suppose 2*w - 13*r = -12*r + 85, -w + 5*r = -o. Calculate the remainder when 213 is divided by w.
13
Suppose q - 19 = -t + 40, -322 = -5*t + 4*q. Calculate the remainder when t is divided by 16.
14
Let w = 472 + -470. Suppose -139 = -w*m + 3*s, 0*m - 2*m + 146 = 4*s. What is the remainder when 136 is divided by m?
65
Let x(u) = -16*u + 42. What is the remainder when x(-26) is divided by 48?
26
Let y(l) = 197*l + 302. What is the remainder when y(1) is divided by 10?
9
Suppose 3*h = 4*a + 53, h - 5*a = -4*h + 85. Suppose -y + 51 + 0 = -2*w, -4*w + 240 = 4*y. Calculate the remainder when y is divided by h.
12
Suppose 0*m - 180 = -4*m. Suppose 5105*y + 16254 = 5231*y. What is the remainder when y is divided by m?
39
Let o be -3*176/(-120) - 4/10. Suppose -4*x + 496 = -o*s - 64, -5*x - 5*s + 700 = 0. What is the remainder when x is divided by 47?
46
Suppose -749 = 15*a + 1081. Let d = 155 + a. What is the remainder when d is divided by 7?
5
Let n(v) = -v**3 + 4*v**2 + 7*v. Calculate