Let b = 459 - 451. Suppose 0 = b*p + 49 - 185. Calculate the remainder when 1/((-597)/(-297) - 2) is divided by p.
14
Let z = -125 + 241. Let a(t) = 6*t**2 - 7*t + 50. Let m be a(-7). Let p = m - 363. Calculate the remainder when z is divided by p.
26
Suppose -f + 4*r = -211, f + 3*r - 121 - 41 = 0. What is the remainder when f is divided by 171?
12
Let q = 1243489 + -1243457. Let n(l) = 63*l. Calculate the remainder when n(1) is divided by q.
31
Suppose 176 + 40 = 2*v. Suppose n - v = -4*l, 10*l = 12*l - 2*n - 54. What is the remainder when l is divided by 27?
0
Let j = -138 + 141. Suppose j*l + 177 = 642. Calculate the remainder when l is divided by 26.
25
Let l(b) = 5*b**2 - 3*b. Let r be l(2). Suppose 154*i + r = 156*i. What is the remainder when -3*3/((-9)/34) is divided by i?
6
Suppose 0 = 24*f - 12 - 132. Suppose -z + 53 = -4*y, -4*z + f*y = 3*y - 225. What is the remainder when 110 is divided by z?
53
Suppose -19*u - 76*u = 12*u - 2782. Calculate the remainder when 1350 is divided by u.
24
What is the remainder when 104 is divided by 32/(-160) - (-3 - 3/15)?
2
Suppose 38*v - 4*a = 33*v + 1399, 0 = -2*v - 4*a + 582. Calculate the remainder when v is divided by 125.
33
Let f = -7 - -41. Let g(r) = 7*r**2 - 74*r + 329. Calculate the remainder when g(5) is divided by f.
32
Suppose -5*m = -5*n + 1570, -3*m - 2*n - 947 = -0*m. Let g be 42/m + 148/(-15). What is the remainder when 99 is divided by (-344)/g + 30/(-75)?
31
Suppose -26 = -8*a + 46. Let b = a + -6. Calculate the remainder when 168 + (-1)/b*1*0 is divided by 34.
32
Let s = 110 - 107. Suppose 0 = -2*g, -m = -s*g - 15 - 23. What is the remainder when m is divided by 2?
0
Let d(y) be the second derivative of -y**3/3 + 41*y**2 - 51*y. What is the remainder when 326 is divided by d(26)?
26
Suppose 1383*d = 1369*d. Let r be (2*3 + -2)*7. Suppose -3*n - 39 = -3*q, -2*n + r = -d*q + 4*q. What is the remainder when 26 is divided by q?
8
Let j = -873 - -1070. Let a = -20 - -42. Calculate the remainder when j is divided by a.
21
Let j = 729 - 360. Calculate the remainder when j is divided by 28.
5
Let o(k) = k**2 - 49*k - 1692. What is the remainder when 2155 is divided by o(73)?
55
Let m(s) = 12*s**2 - 2*s + 12. Suppose -3*x + o - 7 = 0, 8*x - 5*x + o + 17 = 0. What is the remainder when m(x) is divided by 54?
50
Suppose -5*j - r = -224, j - 85 + 33 = r. Calculate the remainder when 166 is divided by j.
28
Suppose -249*c + 128*c - 373*c = -17784. Calculate the remainder when 1064 is divided by c.
20
Let u be 1010/(-4)*((-80)/25)/4. Suppose 8*i - u - 78 = 0. Let h(y) = -y**3 - 3*y**2 - 6*y + 1. What is the remainder when i is divided by h(-3)?
16
Let n = -4613 + 4661. What is the remainder when 700 is divided by n?
28
Suppose -s - 30 = -2*s. Suppose -55*q - 353 + 1233 = 0. Calculate the remainder when ((-4)/(q/(-30)))/(3/s) is divided by 20.
15
Let h be 128*((-36)/(-14))/((-15)/70). Suppose 3*s + 338 - 362 = 0. Calculate the remainder when 0 - h/20 - (-1)/5 is divided by s.
5
Suppose -12*r + 2191 = -1457. What is the remainder when r is divided by 155?
149
Let n = 43 - 40. Suppose -n*p + x = -44, 5*p - 9*x = -6*x + 72. What is the remainder when 224 is divided by p?
14
Let p = -2664 - -2688. Calculate the remainder when 1002 is divided by p.
18
Let g(k) = k**3 + k + 637. Let q be g(0). Suppose -431 = -6*r + q. What is the remainder when r is divided by 36?
34
Let p(s) = -s**3 + 10*s**2 + 15*s - 125. What is the remainder when 287 is divided by p(4)?
8
Suppose v - 32 = b - 13, 3*b = 0. Calculate the remainder when 2182 is divided by v.
16
Let f be (-3)/(-4) - (165393/36)/(-17). Suppose q - 469 = -5*w, 4*q = 3*w + 2*q - f. Calculate the remainder when w is divided by 16.
13
Let q = -834 + 423. Let f = q + 609. Let d(w) = -3*w + 4. Calculate the remainder when f is divided by d(-7).
23
Let i = -642 + 693. Suppose i*z = 36*z + 1110. Calculate the remainder when z is divided by 25.
24
Suppose -3*d = 2*x - x - 5, -3*d + 3 = 0. Suppose x*y + 8 = 3*y. Calculate the remainder when y is divided by 40/7 + 124/434.
2
Suppose 2495 = -27*o + 6572. What is the remainder when o is divided by 32?
23
Calculate the remainder when 419 is divided by 12 + 107 + 4 + 18.
137
Suppose -49590 - 31712 = -47*q - 10426. Calculate the remainder when q is divided by 1499.
9
Let y(w) = -3465*w - 826. What is the remainder when y(-1) is divided by 19?
17
Let r be 2/8 - 9/4. What is the remainder when (254/(-6))/(-1 + 6/9) is divided by -32*(1 + 0)*(1 + r)?
31
Let t = 49 + -47. Suppose -3*z + 360 = -t*j + 138, -4*z - 2*j + 310 = 0. What is the remainder when z is divided by 10?
6
Let s be 4/(-10) + (-240)/25. Let v = 29 + s. Let x = 534 + -527. Calculate the remainder when v is divided by x.
5
Suppose 2*w = 2*g + 454, 4*w - 1323 = -3*g - 450. What is the remainder when w is divided by 63/28 + 153/12?
12
Let k = -17842 - -18275. Calculate the remainder when k is divided by 146.
141
Suppose -6*p + 43 = 31. Let r be (-1 - 2) + p + 23 + 2. Calculate the remainder when 81 is divided by (-1 - 69/(-6))*r/9.
25
Let d = 3 + 1. Suppose 0*h + d*h = 96. Suppose -2*f = -3*r + 15, -6*r + 2*f - 15 = -9*r. Calculate the remainder when h is divided by r.
4
Suppose 16*v + 19502 = 23*v. Calculate the remainder when v is divided by 82.
80
Suppose p - 14*p = -1937. Suppose 13*z - 747 + p = 0. What is the remainder when 459 is divided by z?
45
Let r = -452 + 323. Let c = r - -162. Calculate the remainder when c is divided by 3.
0
Let m(a) = 13045*a**2 + 14*a + 13. Let t be m(-1). Suppose 0 = 18*g - 2022 - t. Calculate the remainder when g is divided by 42.
39
What is the remainder when 547 is divided by -18 + 24 - (-42 + 2)?
41
Suppose a = 9*a + 32. Let h be (a/(-20))/((-1)/(-5))*0. Suppose h*p - 24 = -p. What is the remainder when p is divided by 5?
4
Suppose b + 2*b - 2*d - 59 = 0, b - 23 = 4*d. Calculate the remainder when b is divided by 7 + -3 + 4 + 29 + -35.
1
Suppose 0 = 5*h - 25, 0 = t + 3*h - 5*h - 144. Let l = t - 129. What is the remainder when l is divided by 8?
1
Let p(w) = 57*w**3 - 56*w**3 + 15*w**2 + 4 + 1 + w - 9*w**2. What is the remainder when 160 is divided by p(-4)?
28
Let c(p) = 3*p**2 + 8*p - 5. Let m be c(3). Let y = -30 + 47. Let z = m - y. What is the remainder when z is divided by 8?
5
Let t(v) = 10*v**3 - v**2 + 28*v - 36. Calculate the remainder when t(3) is divided by 68.
37
What is the remainder when 846 - (208 + -190 + (-9 - 1)) is divided by 57?
40
Suppose -390*l - 904 = -392*l + 2*n, -1378 = -3*l - 8*n. Calculate the remainder when 538 is divided by l.
84
Let z = 4716 + -3555. Calculate the remainder when z is divided by 7.
6
Suppose -q + p = -29, -15 = -6*p + p. Let r be 349*((-9)/(-6) + 2/(-4)). Let n = -287 + r. Calculate the remainder when n is divided by q.
30
Let z = -6872 - -6902. Calculate the remainder when 2397 is divided by z.
27
Let a(o) = o**3 - 7*o**2 + 10*o - 19. Let b be a(6). What is the remainder when ((b - 10) + 2)*8*-2 is divided by ((-50)/20)/((-2)/8)?
8
Suppose -3*c + 117 = 3*a, 76 = 4*c - 5*a - 98. Suppose -c*w + 156 = -37*w. What is the remainder when w is divided by 8?
7
Calculate the remainder when (1862/95 + -10)/((-3)/(-50)) is divided by 12.
4
Suppose 3*g = 2*s - 135, -2*s + 9*g = 14*g - 111. What is the remainder when 432 is divided by s?
54
Suppose -84 = -1832*x + 1824*x + 60. Calculate the remainder when 7414 is divided by x.
16
Let v = 3549 + -3189. What is the remainder when v is divided by 126?
108
Let v = -3046 - -3174. Calculate the remainder when 324 is divided by v.
68
Let k(w) = 40*w - 1206. Calculate the remainder when k(38) is divided by 15.
14
Suppose 2*j + 2*a = -3*j + 82, 0 = 2*j - 4*a - 52. Suppose 4*b = -20, -2*n - 3*b - 170 = -b. Let g = -32 - n. What is the remainder when g is divided by j?
12
Suppose -417*u + 412*u + 695 = 0. Suppose x - 16 = 4*b, -2*x = -u*b + 135*b - 40. Calculate the remainder when -62*1*(-3)/2 is divided by x.
21
Let v(f) = 2*f - 20. Suppose -2*s + 15 = 4*l - 9, 3*l = 3*s + 36. Let t be v(l). Calculate the remainder when -3 + (6/3 - 140/t) is divided by 10.
4
Let h = 13347 - 5968. Calculate the remainder when h is divided by 30.
29
Suppose 628 = 3*c - 4*a, -4*c + 7*a = 6*a - 833. What is the remainder when 19120/c - (-1)/13 is divided by 2