et c be t(-11). Let h(a) = -11*a + 93. What is the remainder when h(c) is divided by 16?
13
Let x(n) = 6*n + 152. Let i be x(-15). Suppose 275 = 5*u - 5*q, -2*q + i = 4*u - 134. Calculate the remainder when 90 is divided by u.
39
Let c(v) = v**3 + 7*v**2 + 7*v + 5. Let k be c(-6). Let d = 61 + -45. What is the remainder when k + 0 + (6 - -37) + -1 is divided by d?
9
Suppose 2*a = 4*c + 9 - 27, -5*a = -4*c + 33. Suppose 0 = -c*f - 5*d + 221, -6*f - 4*d - 143 = -7*f. Calculate the remainder when f is divided by 33.
24
Let h = -713 - -1435. What is the remainder when h is divided by 66?
62
Let r(z) = 2*z**2 - 5*z + 1. Suppose 0 = 10*g + 2560 + 2570. Let n = -497 - g. Calculate the remainder when r(5) is divided by n.
10
Suppose -2*x - 4*u + 432 = x, -450 = -3*x + 2*u. Suppose -24*t = -7*t - 527. What is the remainder when x is divided by t?
24
Suppose 4*k + c = 3, -4*k - 5*c = -2*c + 7. Let d be (-92)/k*(3/(-6) - -3). Let b = -82 - d. What is the remainder when b is divided by 9?
6
Let y(v) = -2*v**2 - 21*v + 2562. Calculate the remainder when 4071 is divided by y(-39).
3
Suppose 0 = 3*j - 5*t - 114, j + 100 = -t + 130. What is the remainder when 813 is divided by j?
21
Let l = -2385 + 2933. Calculate the remainder when l is divided by 141.
125
Let v = -463 + 563. Calculate the remainder when 11197 is divided by v.
97
Suppose -2*u = y - 28, 15*u - 170 = -5*y + 11*u. What is the remainder when y is divided by 4?
2
Let m(w) = -11*w + 48. Let c = 5 + -20. Calculate the remainder when m(c) is divided by 27.
24
Suppose -n + 4*d = 436, 4*d = 2*n - 227 + 1083. Let g = n + 497. What is the remainder when 535 is divided by g?
73
Suppose -5*u + 3*u = -434. Let g(k) = 3*k + 5698*k**2 - 5648*k**2 + 1 - 7*k. What is the remainder when u is divided by g(-1)?
52
Let k(p) = -2*p - 10. Let n(z) = z**2 + 4*z + 7. Let f be n(-3). Suppose j = 11 - f. What is the remainder when j is divided by k(-8)?
1
Calculate the remainder when 280 is divided by 2280/475 + (-1)/(-5).
0
Suppose -15*p = -16*p + y + 164, 0 = 4*p + y - 686. What is the remainder when p is divided by 44?
38
Suppose 2*c + 3*h - 973 = 0, 2*c - 3*h - 482 = c. Let k = c - 457. Calculate the remainder when k is divided by 7.
0
Let g(r) = -2*r + 21. Suppose -44 = -10*x + 6. Calculate the remainder when 27 is divided by g(x).
5
Suppose 122*l + 560 = 8490. Calculate the remainder when l is divided by 3.
2
Let g be -6*(14/12 + (-5)/10). Let l be (-74)/8 - g/16. Calculate the remainder when 6/l*(-276)/4 is divided by 25.
21
Let o = 3487 - -4860. Calculate the remainder when o is divided by 167.
164
Let f(c) = 38*c - 8. Let i be f(-13). Let u = 554 + i. What is the remainder when 102 is divided by u?
50
Suppose 131 + 29 = -16*s. Calculate the remainder when s/(-10)*0/1 + 87 is divided by (-30)/((0 + -2)/1).
12
Let l be (15 - 14)*(0 + 1 - 1). Suppose -a + 5*a - 412 = 0. What is the remainder when a is divided by l/(-27) - (-70)/(0 + 2)?
33
Suppose 2*i = -3*r + 152, -304 = -4*i + 58*r - 56*r. What is the remainder when 618 is divided by i?
10
Suppose 903 + 26821 = 239*d. Calculate the remainder when 201 is divided by d.
85
Suppose 248 = 3*a + 2*a + n, -5*n - 60 = -a. Calculate the remainder when 677 is divided by a.
27
Let l(m) = -m**3 - 12*m**2 - 7*m - 14. Let v be l(-11). Let x = -50 - v. Let c = 61 - 32. What is the remainder when c is divided by x?
5
Let j(k) = -k**3 - 15*k**2 + 4*k + 69. Let l = 413 + -429. What is the remainder when j(l) is divided by 53?
49
Let h(g) = 3*g**2 + 12*g + 7. Let i be h(-5). Suppose -10 = 2*d, -2*c - c = 5*d + 40. Let w = c + i. What is the remainder when 62 is divided by w?
11
Let z = 98 - 326. Let x = -212 - z. What is the remainder when 47 is divided by x?
15
Suppose 2*x - 142 = 4*n, -2*x - 2*n + 136 = -0*n. Suppose 101*q - 97*q + 12 = 0, 4*q = -3*d + 12. What is the remainder when x is divided by d?
5
Suppose 5*z - 583 = 57. Let b = -105 + z. Suppose 15*y + 1096 = b*y. Calculate the remainder when y is divided by 20.
17
Let h(a) = 7*a + 287. Let q be h(-37). Suppose 2*w = q*w - 182. What is the remainder when 89 is divided by w?
5
Calculate the remainder when 556 is divided by ((-2)/(-6)*9)/5 - (-10296)/40.
40
Suppose s + 196 = 5*h - 2*s, s = -4*h + 150. Let x = -2571 + 2574. Suppose -x*u + 305 - h = 0. Calculate the remainder when u is divided by 23.
20
Suppose -o + 143 = m - 108, -o = 4*m - 1004. Suppose 0 = 6*g - 965 + m. Calculate the remainder when g is divided by 40.
39
Let i = -2817 + 4255. Calculate the remainder when i is divided by 103.
99
Suppose 0 = g + 14 + 28. Calculate the remainder when 249 is divided by (g/(-15))/(1/15).
39
Let h = -2100 - -2117. What is the remainder when 45 is divided by h?
11
Let v = -9774 - -9819. Calculate the remainder when 95 is divided by v.
5
Calculate the remainder when (516 + -3 + 2)/(8 + 396/(-72)) is divided by -53*(-3 + 1 + 1).
47
Suppose -3*b + 59 = 4*m - 2*m, -11*m = 5*b - 382. What is the remainder when 456 is divided by m?
12
Let o = 4 - 2. Suppose -2*k = -4*w - 2, 0 = 4*w - 6*k + 2*k + 12. Suppose -o*f = w*u - 10, -3 = -u + 5*f + 2. What is the remainder when 34 is divided by u?
4
Let o(b) = -24*b**3 - 1 + 10*b**3 + 22*b**2 + 2*b + 3*b + 12*b**3. Calculate the remainder when o(11) is divided by 2*((-55)/2)/(-5).
10
Suppose 37*f - 15546 = 1178. What is the remainder when f is divided by 36?
20
What is the remainder when (-4)/(12/7083)*15/(-45) is divided by 10?
7
Let t(l) = -l**2 + 244*l + 5006. Let s(k) = -8*k - 1. Let n be s(-2). Suppose 0 = 4*o - 49 - n. Calculate the remainder when o is divided by t(-19).
7
Let v = 65 - 64. Let k(q) = q - 1. Let l be k(v). Suppose -6*b - 6*b + 828 = l. What is the remainder when b is divided by 12?
9
Let m = -2840 + 3151. Calculate the remainder when m is divided by 5.
1
Suppose 4*a + 5*u = 422, -8*a = -3*a + 3*u - 521. Suppose -a*l = -100*l - 51. What is the remainder when 63 is divided by l?
12
What is the remainder when (-2)/4*174/28*136*-7 is divided by 63?
60
Suppose 5*t = 2*o - 17 - 3, -5*t = -20. Suppose 82 + o = 6*d. What is the remainder when 132 is divided by d?
13
Suppose 35*b = 2*b + 11*b + 528. What is the remainder when 617 is divided by b?
17
Suppose 0*u = 4*u - 5*y - 46, -106 = -4*u - 5*y. Calculate the remainder when 242 is divided by u.
14
Suppose -5*w = 2*l - 6*w - 35, 4*l + w = 79. Suppose -3*p + 94 + l = 4*v, 0 = -2*v + 5*p + 37. What is the remainder when 60 is divided by v?
8
Let h(c) = c**3 + 7*c**2 - 374*c - 124. What is the remainder when 1103 is divided by h(-23)?
11
Suppose s = -b + 10, 9*b = 7*b - 6. Let n be -6 + 0/(-3) - -3. What is the remainder when s is divided by (8/10)/(n/(-15))?
1
Let g = 105 - 100. Suppose -3*o = -4*b + 21, -4*b = -g*b - 2*o + 19. Let z(c) = -c**2 - 8*c - 3. Calculate the remainder when z(-5) is divided by b.
3
Let a = 41341 - 41206. Calculate the remainder when 640 is divided by a.
100
Suppose -5*u + 2*u + 4*y = -21, 2*u = -y + 3. Let j(k) = -7*k + 31. What is the remainder when j(u) is divided by 5?
0
Suppose -16*c + 1069 + 803 = 0. Suppose 4*n - 94 = 2*s, 0*n = -5*n + 2*s + c. Calculate the remainder when 54 is divided by n.
8
Let w be -2 - (-1132)/10 - (-7)/(-35). Suppose 3*z + 0*t - w = 5*t, -3*z + 129 = t. Calculate the remainder when z is divided by 8/(-16) - 50/(-4).
6
Let j(w) = 4*w**2 - 2*w. Let g(n) = -3*n**2 - 7*n + 1. Let l be g(-2). Calculate the remainder when j(l) is divided by 11.
8
Let g = 82 - 78. Let h(i) = -i - 1. Let j(z) = z**2 - z + 6. Let l(m) = -4*h(m) - j(m). What is the remainder when 2 is divided by l(g)?
0
Let c(b) be the second derivative of -1/12*b**4 - 24*b - 19*b**2 + 7/2*b**3 + 0. What is the remainder when c(16) is divided by 8?
2
Suppose 11*v + 22*v = 43*v - 4680. Calculate the remainder when v is divided by 150.
18
Suppose -20*m + 3410 + 5870 = -0*m. What is the remainder when m is divided by 45?
14
Calculate the remainder when 9*169 - (145 + -128) is divided by 27.
19
Suppose r - 4*r = -6. What is the remainder when 86 is divided by r + (-32)/(-5) + 6/(-15)?
6
Let k(n) = -n**3 + 10*n**2 + 7*n - 53. What is the remainder when 131 is divided by k(10)?
12
What is the remainder when 6/(-8) - -1*(-22575)/(-84) is divided by 38?
2
Let s = -102 - -106. Suppose -7 = s*r - 75. What is the remainder w