). Let f = l + 97. What is the remainder when 49 is divided by f?
15
Let k = -53 + 56. Let l(d) = 6*d - 45. Calculate the remainder when l(10) is divided by k.
0
Suppose 1053*x - q - 63 = 1050*x, -5*x - 5*q = -145. Calculate the remainder when 1606 is divided by x.
19
Let m be -1 + (-4 - 1)*-1. Let v be (m/(-3))/(8/(-12)). Suppose v*g + 8*g - 270 = 0. Calculate the remainder when 51 is divided by g.
24
Suppose -15 + 75 = 4*r. Let h(k) = 19 - 6*k**2 + 78*k + 5*k**2 - 66*k - k**2. What is the remainder when r is divided by h(7)?
0
Suppose 38*x - 3459 = -761. Suppose 0 = -3*s - c + x, -4*c = 3*s - 0*c - 77. What is the remainder when 68 is divided by s?
22
Suppose -68*k + 27632 = -24*k. What is the remainder when k is divided by 604?
24
Let o = -26970 + 27004. What is the remainder when 679 is divided by o?
33
Suppose 790*g + 3*o - 28 = 788*g, -o = -4*g + 56. What is the remainder when 2722 is divided by g?
6
What is the remainder when (13 - 14)*(-2 + 168)/((-4)/10) is divided by 357?
58
Let f(p) = p**3 - 6*p**2 - 12*p + 40. Calculate the remainder when f(10) is divided by 44.
12
Let u(b) = -3*b**3 + 72*b**2 + 79*b + 103. Calculate the remainder when u(25) is divided by 91.
21
Suppose 3*y - 489 - 24 = -3*x, -x = 5*y - 151. Let b = -79 + x. What is the remainder when b is divided by 5?
2
Suppose -8*r = -2*z - 3*r + 1675, 5*r = -z + 845. Calculate the remainder when 45 is divided by (-4)/(-30) - (-2408)/z.
0
Suppose -169 = 4*f + 3*q - 628, 4*q - 574 = -5*f. Calculate the remainder when 248 is divided by f.
20
Suppose -z + 5*i + 56 - 20 = 0, -z + 2*i + 21 = 0. Let b(r) = z + 5 - 5 - 5*r + 2. What is the remainder when b(-5) is divided by 20?
18
Let k = 482 + -858. Let a = k + 397. What is the remainder when 122 is divided by a?
17
Suppose 0 = -w - 2*o - 2 - 2, -w - 22 = -4*o. What is the remainder when 5 - ((71 - -3)/(-2) - -1) is divided by -2 + 6 + (0 - w)?
13
Let g(b) = 2*b - 4. Let m = 15035 + -14995. Calculate the remainder when m is divided by g(4).
0
Let g(p) = p**3 - 2*p**2 + 2*p + 1. Let j be g(2). Suppose 2*o - j = 11. Let d(u) = -u**2 + 9*u + 1. What is the remainder when 70 is divided by d(o)?
7
Let d(j) = 14*j - 20. Let b be 23/(-1) + (-6 - -2) + 3. Let c be (0 - 2)*-2*b/(-32). What is the remainder when d(c) is divided by 3?
1
Let g = -2404 + 3307. Calculate the remainder when g is divided by 151.
148
Suppose 4*c = 5*m - 5 - 37, 2*m - c = 18. What is the remainder when ((-13)/9)/((-127)/1143) is divided by m?
3
Let y(v) = v**2 - 8*v - 16. Suppose -3*j - 64 = -2*g, -4*g = g - j - 160. Calculate the remainder when g is divided by y(11).
15
Suppose -21*w - 2*l = -23*w + 26, 4*l + 10 = w. Suppose w*i - 361 = 129. Calculate the remainder when 115 is divided by i.
10
Suppose 38*r = 33*r - 35. Let v(w) = -w**2 - 9*w - 9. Suppose -4*f - y + 145 = 0, -3*y + 28 = -2*f + 3*f. What is the remainder when f is divided by v(r)?
2
Let w(v) = 6*v**2 - 59*v + 19. Calculate the remainder when w(13) is divided by 15.
11
Let d(q) = -90*q - 530. Suppose 54 = -5*p + 4*k, 0 = 4*k - 23 + 19. Calculate the remainder when d(p) is divided by 18.
10
Suppose 19 = k + 4*z, 0 = -3*k + 2*z + 2*z + 121. Suppose 5*g = 20 - k. What is the remainder when 6 is divided by 1/(-3)*(6 + g)*-4?
2
Let b = -648 - -769. Let k(o) = 3*o**3 - o**2 + 3*o - 4. Let q be k(3). Let n = b - q. Calculate the remainder when n is divided by 23.
21
Let z(m) = -102*m + 9689. What is the remainder when z(-87) is divided by 273?
272
Suppose 0 = -252*n + 254*n - 4*j - 266, 4*n - 3*j = 557. Calculate the remainder when 3430 is divided by n.
141
Suppose -3*a - 2*a + 15 = 0, 0 = 4*h - 2*a - 82. Suppose 10*m + h = 102. What is the remainder when 54 is divided by m?
6
Let m(a) = 2*a**3 - 55*a**2 - 274*a + 6. What is the remainder when 25754 is divided by m(-4)?
92
Let b = -3599 - -3888. Calculate the remainder when b is divided by 41.
2
Let d(t) = 3*t + 12. Let v be d(-4). Suppose j - 52 + 9 = v. Suppose 4*l - j = 225. Calculate the remainder when l is divided by 17.
16
Suppose 3 - 18 = -5*b. Suppose -3*j = -q - b - 247, 344 = 4*j - 4*q. What is the remainder when j is divided by -42*(99/18)/(-11)?
19
Let o(g) = -g**2 - 9*g - 11. Let n be o(-4). Let l(b) = -b**3 + 8*b**2 + 13*b + 28. Calculate the remainder when l(n) is divided by 17.
13
Suppose -4*p = 6*p - 520. Suppose -8*s + p = -12. What is the remainder when 22 is divided by s?
6
Let i(c) = 34*c**2 - c - 1. Suppose 0 = 6*f - 24 - 0. Suppose -5*z = -2*z + f*p - 1, 4*z = 2*p + 38. What is the remainder when i(-1) is divided by z?
6
Suppose 271*i - 282*i + 176 = 0. Suppose 2*u + 4 = 0, 3*b - 83 = 2*u - i. Calculate the remainder when 35 is divided by b.
14
Suppose -723 - 246 = -17*l + 1513. What is the remainder when l is divided by 67?
12
Let c be -29 + 31 + (243 - -1 - 1). Suppose o = 4*w - 3*o - 280, 4*w - c = -3*o. What is the remainder when w is divided by 11?
10
Suppose -4*u + 2*m = -m - 18, -4*u = -5*m - 14. Suppose -6 = -t + u. Let x = t + 4. What is the remainder when 63 is divided by x?
15
What is the remainder when 1071 is divided by ((-18)/(-21))/(-25 - -31) - (-4436)/14?
120
Suppose 210 = 6*a - 396. Let p(n) = n**2 + 5. Let r(i) = -i**3 + i + 4. Let d be r(0). What is the remainder when a is divided by p(d)?
17
Suppose 2*m - 5*r - 32 = 74, 4*r - 113 = -3*m. What is the remainder when 1246 is divided by m?
42
Let u be 40 + (0 - (1 - 0)). Suppose -41*g + 104 = -u*g. What is the remainder when 258 is divided by g?
50
Suppose -167*r + 108*r + 2360 = 0. What is the remainder when 168 is divided by r?
8
Suppose 1476 - 2030 = -97*y + 1871. What is the remainder when 639 is divided by y?
14
Suppose 976 = 25*w - 5024. Calculate the remainder when w is divided by 50.
40
Let n be (-4 - -1)/(2/(-24)). Let l be (-4)/(-18) - (-136)/n. Suppose -l*j + 144 - 24 = 0. What is the remainder when 89 is divided by j?
29
Let k be (-6 - -3)/1 + (-3 - -8). Suppose 0 = 11*u + k*u - 117. What is the remainder when 114 is divided by u?
6
Suppose -5*s - 24 = -3*y + 788, 2*y = -s + 550. Calculate the remainder when y is divided by 134.
6
Let x(u) = 3*u - 8. Suppose 17*l = 2*l - 5*l. Suppose 15*p + 322 - 1012 = l. What is the remainder when p is divided by x(9)?
8
Let w be 1/7 + (2 - (-27)/7). Suppose -5*m = g - 92, -5*g = 5*m - 3*m - 46. Calculate the remainder when 5 + 1405/(w - 1) is divided by m.
16
Let f(d) = d**3 + 6*d**2 + 8*d + 6. Let l be f(-3). Suppose l*a = 10*a - 524. What is the remainder when a is divided by 31?
28
Suppose 89 = 2*c + 5*t, 0 = -4*c + 197*t - 198*t + 133. Calculate the remainder when 5663 is divided by c.
31
Let x(f) = f**3 - 9*f**2 - 23*f + 20. Let z(t) = -t**3 + 5*t**2 - 3*t - 4. Let v be z(3). Let s(p) = p + 1. What is the remainder when x(11) is divided by s(v)?
3
Let n = -8502 - -8530. What is the remainder when 745 is divided by n?
17
Suppose -8*j - 127 + 726 + 545 = 0. What is the remainder when 3001 is divided by j?
141
Let g be ((-20)/(-80))/((-3)/(-120)). Suppose -w = -4*v - 19, -5*v = 5*w - g*w + 50. Calculate the remainder when 74 is divided by w.
4
Suppose 0 = q - 15 + 4. Let x = 119956 - 119954. What is the remainder when q is divided by x?
1
What is the remainder when 2745 is divided by (-49 + 46)/(15/(-275))?
50
Let j(i) = i**3 + i**2 + 7. Let m be j(0). Suppose l - m*l = -834. Calculate the remainder when l is divided by 20.
19
Suppose 0 = 3*r - 6, p + r - 29 + 10 = 0. Suppose 2*i - 22 - 14 = 2*c, -i + 20 = c. Let w = 48 + i. Calculate the remainder when w is divided by p.
16
Let t(c) = -4*c - 13. Suppose 10*m - 7*m + 21 = 0. What is the remainder when -1*10/5 + 58 is divided by t(m)?
11
Suppose 2227 = -871*x + 441*x + 447*x. Calculate the remainder when 1178 is divided by x.
130
Let x = 26 + -22. Let b be 2*x/(-28) - (-4)/14. Suppose b = j - 27 - 68. What is the remainder when j is divided by 24?
23
Let c(h) be the first derivative of h**3/3 + 7*h**2 + 73*h - 243. Calculate the remainder when 1021 is divided by c(-10).
31
Let a(h) = 2*h**3 + 57*h**2 + 26*h - 41. What is the remainder when 609 is divided by a(-28)?
9
Let l = 2951 + -2901. Calculate the remainder when 139 is divided by l.
39
Let z = -2839 - -2852. What is the remainder when 381 is divided by z?
4
Suppose -3*n + 35 = g, n = -2*g - g + 89. Suppose -1 = -