3*k = -3*b + 375. Let w be (-190)/40 + 3/4 + 4. Calculate the remainder when 52 is divided by 1*(w + -2) + b/6.
16
Suppose -8362 + 762 = -20*s. Suppose s*b = 384*b - 192. Calculate the remainder when b is divided by 23.
2
Calculate the remainder when 1511 is divided by 24/(-6) - (5 - 6)/((-6)/(-678)).
94
Let y(c) = -4*c**2 + 24*c + 9. Let x(v) = 65*v + 459. What is the remainder when x(-5) is divided by y(6)?
8
Let n(h) = 30*h - 89. Let j(u) = -u**3 + 4*u**2 + 4*u - 9. Let f be j(2). Calculate the remainder when n(f) is divided by 62.
59
Suppose -8*y + 95 = -3*y. What is the remainder when y is divided by (16 - -22) + (-23)/1?
4
Let o = 24109 - 24102. Suppose -4*s - 10 = -x - 3, x + 3*s - 35 = 0. What is the remainder when x is divided by o?
2
Let l(i) = i**3 - 6*i**2 - 14*i + 9. Let g(c) = -c**3 - 6*c**2 + 10*c - 6. Let t be g(-8). Let u = t + -34. Calculate the remainder when 92 is divided by l(u).
17
Let r(l) = l**2 + 4*l + 7. Let w be r(-2). Let a(o) = o**3 - 3*o**2 + 22*o - 63. Calculate the remainder when 58 is divided by a(w).
1
Suppose 2*t + 3*w = 144, 5*w - 3*w + 190 = 3*t. Let d = -17 - -309. Let y = d + -269. What is the remainder when t is divided by y?
20
Suppose 114915 = 13*f + 3596. What is the remainder when f is divided by 126?
121
Let a(z) = -3*z**2 - 4*z + 4. Let o be a(1). Let i(k) = -51*k + 16. Let b be i(o). Suppose 107 = 4*u - b. What is the remainder when u is divided by 10?
9
Suppose 0 = -2*c - 5*w + 50, -3*c + 3*w + 63 = -33. Calculate the remainder when 407 is divided by c.
17
Let f(w) = -1 + w**2 - 4*w + 8*w - 6. Let s be (-24)/(-30) - (-34)/(-5). What is the remainder when 8 is divided by f(s)?
3
Suppose 83 = -4*z + 7. Let b(p) be the second derivative of p**4/6 + 37*p**3/6 - 7*p**2/2 - 121*p. What is the remainder when 46 is divided by b(z)?
10
What is the remainder when 414 - -1*-4*(-6)/120*0 is divided by 87?
66
Let x(b) = -b**2 - 79*b + 616. Let q be x(7). Let p be (-1)/((-1)/(-355)) - 1. What is the remainder when 107 is divided by 1 + p/(-14) + 8/q?
26
Suppose -34*i = -19*i - 1395. Calculate the remainder when 940 is divided by i.
10
Let v = 41023 - 41011. Let a(w) = 3*w**2 - w - 2. Calculate the remainder when a(-3) is divided by v.
4
Suppose 360 - 1200 = 5*f. Let i = 29 + f. Let j = i - -197. Calculate the remainder when j is divided by 15.
13
Let j = 85 + -14. Let c(x) be the first derivative of x**3/3 + x**2 - 4*x - 38. What is the remainder when j is divided by c(-6)?
11
Suppose 3*y + h - 5 = 0, -y + 2*h = y + 10. Suppose y*k = k - 15. What is the remainder when (1*(-2 + 5))/(1/23) is divided by k?
9
Suppose 10*s - 185 - 760 = 5*s. What is the remainder when 203 is divided by s?
14
Suppose -2*o + 5*p + 78 = 3*p, -3*p - 80 = -2*o. Let s(v) = v**3 - 4*v**2 + 5*v + 2. Suppose 12 = 2*j - 2. Calculate the remainder when s(j) is divided by o.
36
Let a be 363/55 + 16/40. Suppose 2*g + 4 + 2 = 0, -2*g = 3*o - 138. Suppose a*m - o = m. Calculate the remainder when 23 is divided by m.
7
Suppose -2*d = 13315 - 13429. Calculate the remainder when 97 is divided by d.
40
Suppose 2*u - 26 = 4*v - 14, -5*u = -3*v - 93. Suppose -42 = -2*q + 4*l, q - l = -0*q + 17. What is the remainder when u is divided by q?
11
Let h(f) = -2*f - 35. Let v be h(-19). Suppose 29 = 2*x + 5*i, v*i = 5*x + i. Suppose x*t - 75 = 5. What is the remainder when t is divided by 14?
12
Let v(r) = r**2 - 149*r + 5502. What is the remainder when v(53) is divided by 35?
29
Let p be (0 + 8 + 1)/(-8 - -11). Suppose 5*x + p*d - d - 262 = 0, 0 = -2*d + 2. Calculate the remainder when 163 is divided by x.
7
Let d(g) = 2*g + 1 + 24 - 7. Calculate the remainder when d(-5) is divided by 6.
2
Let i(w) = w**3 - 6*w**2 - 23*w + 28. What is the remainder when i(11) is divided by 190?
0
Let t = -4325 + 4985. What is the remainder when t is divided by 172?
144
Suppose 2*o + 3*g - 520 = 299, 1633 = 4*o + 5*g. Calculate the remainder when 777 is divided by o.
375
Suppose -204697 = -534*o - 80275. What is the remainder when 1862 is divided by o?
231
Suppose 0 = 4*a - a - 249. Suppose -21719 = -415*f - 270*f - 3909. What is the remainder when a is divided by f?
5
Suppose 3*c + 262 = 2*f, -943*f + 4*c = -940*f - 391. Let o = 33 + -24. Calculate the remainder when f is divided by o.
8
Suppose 0 = -d + 5*d - 8. Suppose -d*a + 25 = 3*b - 6*b, 0 = -a + 4*b + 20. What is the remainder when ((-33)/(-66))/(2/372) is divided by a?
5
Suppose -5*q = -4*n + 247 - 91, 4*n - q - 172 = 0. What is the remainder when 214 is divided by n?
38
Let p(k) = 14*k - 89. Suppose -22 = -3*h - u, 5*h = 5*u - 9*u + 32. What is the remainder when 87 is divided by p(h)?
18
Suppose 279 = 5*n - 2*y, -5*y + 0*y + 155 = 3*n. Let o(g) = 23 + g + 5 - 3*g - 51. What is the remainder when n is divided by o(-15)?
6
Let k = 2415 + -2359. What is the remainder when 75 is divided by k?
19
Let k = -7592 + 7849. Suppose 0 = -0*p - 4*p. Suppose 0*s + 4*s - 172 = p. What is the remainder when k is divided by s?
42
Suppose t - 3*w = w + 70, 0 = -3*t + 4*w + 234. Let b(y) = 2*y**2 - 8*y - 28. Let f = -115 - -112. Calculate the remainder when t is divided by b(f).
12
Let u(q) = 5*q + 48 + 8*q + 4*q + q**2. Calculate the remainder when 141 is divided by u(-15).
15
Suppose -2*d = -4*d - 13*d. Suppose d = -2*q + 2*w + 380, -386 = -2*q + 10*w - 6*w. What is the remainder when q is divided by 16?
11
Let z(f) = -34*f. Let c = 658 - 1330. What is the remainder when 1 - (-2 - -4) - c/4 is divided by z(-1)?
31
Suppose -3*t - 18*t + 105 = 0. Let r be ((-222)/(-4) + 1)*2. Suppose -833 = -t*b + 2*i - r, 2*b + 3*i - 269 = 0. What is the remainder when b is divided by 12?
10
Let s = 883 - 832. Suppose 28*n - s*n = -1472. What is the remainder when 381 is divided by n?
61
Let n(d) = d**2 - 9*d - 3222. What is the remainder when n(68) is divided by 25?
15
Suppose -39593*q + 39563*q = -810. Suppose -4*s + 8 = -0*s. Suppose -4*a = t - 167, s*t - a - 394 = 3*a. What is the remainder when t is divided by q?
25
Suppose 40*l = -7575 - 24985. Let m = -787 - l. What is the remainder when m is divided by 22?
5
Suppose 102*o + 1415535 = -272*o + 6702773. Calculate the remainder when o is divided by 140.
137
Let a = -323 - -473. Suppose -2733 + 2226 = -13*i. What is the remainder when a is divided by i?
33
Let z(t) = 6*t - 2. Let p be z(4). Suppose -3*b - 2*u = -25, 0*b - 19 = -2*b + u. Calculate the remainder when p - (-1)/(-1) - 4 is divided by b.
8
Let i be 16262/22 + (-342)/66 + 5. Suppose 0 = 2*z - 5*j - i, 14*j - 13*j = 4*z - 1433. What is the remainder when z is divided by 24?
21
Suppose -2*j = 2*k - 46, -5*k + j - 842 = -963. Calculate the remainder when 5062 is divided by k.
22
What is the remainder when -1 - 69/(-63) - (-1061327)/357 is divided by 48?
45
Let j = 2174 - 2121. What is the remainder when 314 is divided by j?
49
Let m = -7294 + 7307. What is the remainder when 290 is divided by m?
4
Let q(y) = 172*y + 1264. What is the remainder when q(-6) is divided by 24?
16
Suppose -224 = 8*f + 504. Let j = f + 130. Suppose 0 = -d + j - 37. Calculate the remainder when 20 is divided by d.
0
Suppose 8*c - 72 = 4*c. Suppose 3 - c = h. What is the remainder when 39 is divided by -15*(1 - h/(-9))?
9
Let k = 6161 - 6128. Suppose 7*w = -4*u + 2*w - 143, 0 = 4*u - 5*w + 113. Let p = 121 + u. What is the remainder when p is divided by k?
23
Let v(s) = -s**2 - 7*s + 6. Let b be v(-16). Let n = b + 158. What is the remainder when 117 is divided by n?
17
Let j(i) = 140*i + 1513. What is the remainder when j(-8) is divided by 131?
0
Let m(k) = -37*k + 13. Let g be m(1). Suppose -3*q = 67 + 23. Let f = g - q. Calculate the remainder when 16 is divided by f.
4
Let g(v) = 72*v**2 + 6*v + 10. Let f be g(-2). Suppose -286*p + f = -275*p. Calculate the remainder when 46 is divided by p.
20
Suppose 2*c = 4*l - 812, 1109 = -3*c - l - 116. Let i = c + 480. What is the remainder when i is divided by 25?
22
Let h be 10/(-2)*(-14)/7. Suppose -h + 90 = -10*p. Calculate the remainder when 34 is divided by 13 + p/2 + 3.
10
Let u = -9 - -1252. Let n = -786 + u. Calculate the remainder when n is divided by 23.
20
Calculate the remainder when 17764 is divided by -6 - 26/((-78)/441).
139
Let x be ((-4)/(-6))/((48/(-189))/(-8)). Suppose -3356 = -x*m - 1298. Wha