 the remainder when (1 - 2)/(26 + (-13266)/510) is divided by s.
10
Let p be (-3)/(-7*5/35). Suppose -63 = -2*y - 5*s, -3*y + 56 + 21 = 4*s. Suppose -p = b - y. What is the remainder when 47 is divided by b?
15
Let p(q) = 5*q - 69. What is the remainder when 18 is divided by p(16)?
7
Let g = -233 - -234. What is the remainder when 79 is divided by (12/6 - -42)*g?
35
What is the remainder when 652 is divided by (78/(-16) - ((-803)/(-88) - 9)) + 329?
4
Suppose -2*u + 2 = -3*a + 1, -4*u - 4*a + 52 = 0. Let m = 252 - 253. Let z(l) = 26*l**2 - 6*l - 5. Calculate the remainder when z(m) is divided by u.
3
Let y(b) = b**3 - 62*b**2 + 568*b - 116. Calculate the remainder when 1710 is divided by y(51).
23
Suppose 21 + 6 = -9*l. Let q be (l/6)/((-1)/10). Suppose -q*m + 20 = -60. Calculate the remainder when 79 is divided by m.
15
Suppose 15*b = 6*b - 15 + 465. Calculate the remainder when 582 is divided by b.
32
Let k = 28 - 25. Suppose 3*n + k*v - 115 = -7, n = 4*v + 16. Suppose 16*x - 22 = 14*x. What is the remainder when n is divided by x?
10
Suppose -5*s = -7*x + 2*x - 1065, 0 = 3*s + 2*x - 619. Suppose -s - 291 = -5*u. Let p = -44 + 95. What is the remainder when u is divided by p?
49
Let v(o) be the second derivative of 4*o**2 + 0 + 1/2*o**3 + o. Calculate the remainder when 13 is divided by v(-2).
1
Suppose -88*s = -90*s - 4*k + 116, -3*s = -3*k - 174. What is the remainder when 554 is divided by s?
32
Suppose -13*q + 5*q = 48. What is the remainder when 101/(q*1/(-6)) is divided by 26?
23
Let i(n) = n**3 - 55*n**2 + 92*n - 221. Calculate the remainder when i(54) is divided by 20.
11
Suppose 156*n = 4225 - 325. What is the remainder when n is divided by 14?
11
Let n(y) = 2*y**3 + 17*y**2. Suppose 2*q + 3*q + 31 = 4*p, -p - 29 = 4*q. Calculate the remainder when n(q) is divided by 31.
23
Let b(d) = d**2 + 12*d + 8. Let x be b(-8). Calculate the remainder when x/18 + 211/3 + -4 is divided by 22.
21
Let f(n) = -2*n**3 + 9*n**2 - n + 41. What is the remainder when 214 is divided by f(0)?
9
Suppose 88 = 3*l - 5*v, -709*l - 4*v = -711*l + 60. What is the remainder when 57 - ((-3)/3)/1 is divided by l?
6
Let o = 63 + -56. Suppose o*r = -25 - 80. What is the remainder when 64 is divided by 88/(-6)*(-7)/((-70)/r)?
20
Let x(q) = -5*q - 19. Calculate the remainder when x(-14) is divided by 18/24 + (-98)/(-8).
12
Let y(f) = -f**3 + 28*f**2 - 15*f + 51. Let p be y(27). Suppose -33*k + p + 879 = 0. What is the remainder when 186 is divided by k?
34
Let r(a) = -2*a**2 - 37*a + 24. Let h be r(-19). Calculate the remainder when ((-100)/h)/((-4)/46) is divided by 34.
26
Suppose 7801 = 22*u + 277. What is the remainder when 554 is divided by u?
212
Suppose -3*u - 7 + 43 = -2*o, 48 = 4*u - o. Let m(v) = 8*v - 58. What is the remainder when m(u) is divided by 12?
2
Suppose -2*a + m = 2*m - 91, 5*a + 3*m = 226. Calculate the remainder when 247 is divided by a.
12
Let z = 1 - -32. Suppose 0 = 3*c - 6 - z. What is the remainder when 25 is divided by c?
12
Let m = 13816 + -13716. Calculate the remainder when 258 is divided by m.
58
Let b = 5607 - 5497. What is the remainder when 1761 is divided by b?
1
Let l = 60 + -32. What is the remainder when l is divided by 10 + 9*8/36?
4
Suppose 194*k = 230944 - 12306. What is the remainder when k is divided by 39?
35
Suppose 2*p = 1347 - 1307. What is the remainder when 1455 is divided by p?
15
Let f(q) = q**3 + 43*q**2 + 9*q + 159. What is the remainder when f(-42) is divided by 18?
15
Let a(r) = -18 - 5*r + 4 - 20. Let n be a(-6). Calculate the remainder when 121 is divided by 0 - (n + -13 - 4).
16
Let v(q) = -5*q - 83. Let i be v(-19). Suppose -i*c = -9*c - 345. What is the remainder when c is divided by 39?
37
Let q = -86 - -30. Let d = 106 + q. Suppose -4*c = -4*x - 108, c - 14 - 13 = -3*x. Calculate the remainder when d is divided by c.
23
Let a = -7629 - -7756. What is the remainder when 222 is divided by a?
95
Let w(z) = 12*z**3 + 17*z**2 - 8*z + 3. Calculate the remainder when w(4) is divided by 32.
19
Let a(n) = n**3 + n**2 - 7. Let u be a(0). Let x(i) = i**3 + 8*i**2 - 2*i. Suppose 303 = 25*k - 122. What is the remainder when x(u) is divided by k?
12
Let h(r) = 6*r**2 + 11*r + 5. Let w = 8 - 13. Let l be h(w). Let o = 219 - l. Calculate the remainder when o is divided by 30.
29
Suppose 15*v + 11*v = 0. Suppose v = -4*b + 16 + 176. What is the remainder when b is divided by 36?
12
Suppose 5*k - 3*k = -6, 0 = u - 5*k - 42. Suppose -7*y - 3 = -4*y. Calculate the remainder when u is divided by (21 - (y + 0))*(-1)/(-2).
5
Suppose -2*q - 2*r + 4 = 0, 2*q - 4 = -r - 2*r. Let j be q*2/(-4) - -375. What is the remainder when (-138)/(-30) - 5 - j/(-10) is divided by 14?
9
Let s(f) = -4*f - 4. Calculate the remainder when 278 is divided by s(-24).
2
Let n(q) = q**2 - 12*q + 52. Let f = 111 - 100. What is the remainder when ((-3)/6)/(1/(-322)) is divided by n(f)?
38
Let p(k) = -3*k**2 + 9*k + 36. Let w be p(9). Let l = w + 167. Let j = 31 + -10. What is the remainder when l is divided by j?
20
Suppose -325*a = -317*a - 800. What is the remainder when a is divided by 21?
16
Suppose 97 = 3*m - 2174 - 462. Calculate the remainder when m is divided by 99.
20
Suppose -6614 = -81*f + 1567. Calculate the remainder when 767 is divided by f.
60
Suppose 0 = -2*o + 5*r + 68 + 256, -4*o - 4*r = -620. What is the remainder when o is divided by 81?
76
Suppose -4*b - 3*p = -3*b - 1, -4*p = 5*b - 16. Suppose -18*n + 22*n = 3*c - 15, -b*c + 3*n = -27. What is the remainder when 14 is divided by c?
5
Suppose 55*q - 38*q - 1360 = 0. Let m = -36 + 65. What is the remainder when q is divided by m?
22
Let c be 1333 - -9*(-16)/(-24). Suppose 30*b - c = 971. What is the remainder when b is divided by 49?
28
Suppose 6*c - 65 = c. What is the remainder when ((84847/(-102))/(-217))/((-2)/(-12)) is divided by c?
10
Suppose 14*t = 9*t - 5. Let s = t + 26. Calculate the remainder when s is divided by (-5)/(-6 + 68/12).
10
Suppose -24*f + 16956 = 8*f + 4*f. Calculate the remainder when f is divided by 95.
91
Suppose 0 = 11*k + 17*k - 6*k. Suppose 5*m = -h + 24, -4*m - 5*h + 3*h + 24 = k. What is the remainder when 5 is divided by m?
1
Suppose -3*x = x - 4*a - 9524, 4*x - 9510 = 2*a. Calculate the remainder when x is divided by 19.
18
Suppose 0 = 2*d + z - 37, -3*d + 0*z + 101 = -5*z. Calculate the remainder when d is divided by 2.
0
Let b(g) = -305*g - 26. Let s be b(-4). Suppose 10*r - s = -274. Let f = 142 - r. Calculate the remainder when 197 is divided by f.
47
Suppose -2*o + 6*o - 498 = 2*j, 20 = -4*o. Let c = j + 391. What is the remainder when c is divided by 18?
6
Calculate the remainder when 157 is divided by (2470/(-104))/((-15)/12).
5
Let u = 225 - -54. Suppose 396 = 9*j + u. Calculate the remainder when 308 is divided by j.
9
Suppose 21512 = 161*l - 3849 - 11347. What is the remainder when l is divided by 15?
3
Let u = -282 + 295. Suppose -15*l = 3*m - u*l - 12, -3*m + 12 = 3*l. Calculate the remainder when 5 is divided by m.
1
Let i = -5655 - -6392. What is the remainder when i is divided by 147?
2
Calculate the remainder when ((-3318)/98)/((-5)/105) is divided by 355.
1
Let p(g) = -3 - 4 + 9*g + 6*g. Let z = -14647 - -14652. What is the remainder when p(z) is divided by 14?
12
Let b = -285 + 666. Suppose 0 = -7*h + 2*h + 320. Calculate the remainder when b is divided by h.
61
Let u be (-7 + 371/56)/((-3)/24). Suppose h - 2*b = 27, 0 = -2*h - u*b - b + 54. Let m = -116 + 194. Calculate the remainder when m is divided by h.
24
Let j = 482 + -477. Suppose j*u - 985 = -0*u. Calculate the remainder when u is divided by 41.
33
Let k be -1*3*(-18186)/126. Let d = -369 + k. Suppose 0 = 3*t - 18 - 21. What is the remainder when d is divided by t?
12
Suppose 0 = -12*j - 264 + 1512 - 192. Suppose 6*y = 3*y + 525. Calculate the remainder when y is divided by j.
87
Suppose 4*h - h - 228 = 0. Suppose 0 = 2*n + 2*y - h - 148, 112 = n - 2*y. What is the remainder when n is divided by 19?
17
Let c(j) = j - 54 + 2*j + 65 - 4*j + 3*j**2. Let s(x) = x**2 + x. Let g(t) = c(t) - 4*s(t). Calculate the remainder when 22 is divided by g(-6).
2
Let k(m) = 9*m - 7. Suppose b + b + 2*l - 192 = 0, 0 = 3*b - l - 304. Suppose -26*r + 16*r = -b. What is the remainder when k(