44
Let i be (-2)/(56/42 - (-1 - -3)). Suppose i*k - 20 = 7. What is the remainder when 62 is divided by k?
8
Let b(a) = 43*a. Let u = 656 + -641. Calculate the remainder when b(1) is divided by u.
13
Suppose -4*t = 4*y - 300, -8*y + 380 = 5*t - 4*y. What is the remainder when t is divided by 41?
39
Suppose 12 = -4*d - 4*j - 0*j, 0 = -2*d + 3*j - 6. Calculate the remainder when 54*(d - ((-26)/6 + 0)) is divided by 19.
15
Suppose 5*j - 2*j + 612 = w, 0 = 3*w - 2*j - 1871. Calculate the remainder when w is divided by 37.
35
Suppose 9 = -2*v - 5*j, 0 = -3*v - 5*j + 1 - 2. Suppose 0 = -3*a + 53 - 17. What is the remainder when a is divided by v?
4
Let l be 6*(5 + 8/2). Let q(p) = 2*p**3 - 3*p**2 - 2*p + 2. Calculate the remainder when q(3) is divided by 2/(-3)*l/(-4).
5
Let l = 15 + 14. Suppose -l = 3*g - 221. Suppose -2*t = 2*t - g. What is the remainder when 29 is divided by t?
13
Suppose 0*u - 3*u + 6 = 0. Suppose 0 = -i - u*i + 30. Let n = -62 + 110. Calculate the remainder when n is divided by i.
8
Suppose -b = -3*j - 118, 5*j - 6 - 9 = 0. What is the remainder when b is divided by 32?
31
Let b = -2 - -15. Suppose 2*u = -3*u + 385. What is the remainder when u is divided by b?
12
Suppose -2*p + 0 = 2. Let d = 11706 + -11669. What is the remainder when d is divided by 0 + 0 + 18 - p?
18
Let j(p) = 3*p**2 - 15*p + 5. What is the remainder when j(18) is divided by 79?
75
Let v(d) = -d**3 - 10*d**2 - 9*d + 2. Let f(c) = -8*c**2 + 2*c + 1. Let j be f(-1). Let r be v(j). Calculate the remainder when (3/r)/(3/4) is divided by 1.
0
Suppose 0 = -q - d - 0*d + 13, 4*q - 4*d - 44 = 0. Let u = 229 + -157. Let n = 95 - u. What is the remainder when n is divided by q?
11
Suppose 0 = -2*s - 2*s - 3*n, -16 = 4*n. What is the remainder when -6 + 3 - (1 + -12) is divided by s?
2
Let c(t) be the second derivative of t**4/12 - 5*t**3/6 - 9*t**2 - 36*t. Calculate the remainder when 51 is divided by c(-4).
15
Suppose -6*c + 5*c = 3*u + 69, 3*c = 9. Let z be (-1 + -6)/(2/(-10)). Let x = z + u. Calculate the remainder when 29 is divided by x.
7
Suppose 4*k = -4*k + 16. Suppose -2*x + 14 = k*c, -x - 19 = -3*c + 18. Calculate the remainder when c is divided by 4.
3
Suppose 2*z - 3*g + 53 + 73 = 0, -z + 2*g - 62 = 0. Let l = 95 + z. What is the remainder when 52 is divided by l?
23
Let n be 8/(4 + -4 + 1). Suppose -4*u + 3*p + n = 0, -u = u + 2*p - 4. Suppose -u*z + 7*z - 90 = 0. Calculate the remainder when 69 is divided by z.
15
Let u(l) = 2*l**2 + 38*l - 47. Calculate the remainder when 332 is divided by u(-21).
36
Let z(t) = -t**3 + 5*t**2 - 4*t + 5. Let j be z(4). Suppose -5*m = g - 12, j*g - 85 = -4*m + 59. Calculate the remainder when 61 is divided by g.
29
What is the remainder when 340 is divided by 139507/1281 - 2/(-21)?
13
Suppose 4*z - 22 + 121 = s, 0 = 5*s + 5*z - 495. Calculate the remainder when s is divided by 34.
31
Suppose 5*o - c - 596 = 0, 0 = -6*o + 7*o + 3*c - 116. Calculate the remainder when o is divided by 33.
20
Let x be 2/(-10) - 845/25. Let q be 8/10*(-11645)/x. Calculate the remainder when q/4 + 3/2 is divided by 19.
13
Suppose 12*w - 27*w + 1050 = 0. What is the remainder when w is divided by 24?
22
Let r(t) = 24*t + 90. What is the remainder when r(5) is divided by 68?
6
Let h(w) be the third derivative of 7*w**4/24 + 2*w**3/3 + 5*w**2. Calculate the remainder when h(9) is divided by 14.
11
Let r(i) = -2*i**2 + 19*i - 5. Let f be r(9). Suppose -4*z + 47 = z - f*v, 30 = 3*z - 3*v. Calculate the remainder when z is divided by 7.
0
Calculate the remainder when 80 is divided by (24 - 9)/((-10)/(-20)).
20
Suppose 96*b - 66*b - 210 = 0. Calculate the remainder when 629 is divided by b.
6
Let f = -85 - -94. Let j = 350 - 227. What is the remainder when j is divided by f?
6
Suppose -346 + 82 = -6*a. What is the remainder when 126 is divided by a?
38
Suppose -61 = -3*d + 48 - 67. Suppose 0 = -3*q - 5*u + 139, 2*u + 42 - 193 = -3*q. What is the remainder when q is divided by d?
11
Let k = 4896 + -4886. Suppose 0 = -0*o + 4*o - 628. Calculate the remainder when o is divided by k.
7
Let o(m) = -17*m - 20. Calculate the remainder when o(-6) is divided by 21.
19
Let t = -18 - -41. Suppose 0 = t*u - 24*u + 15. What is the remainder when 43 is divided by u?
13
Let p(m) = -4*m + 15*m + 2 - 6 + 3. What is the remainder when p(4) is divided by 15?
13
Suppose 4*u + 14 = 106. Suppose 27*w + 270 = 2106. What is the remainder when w is divided by u?
22
Let g = -4 - -4. Let q = 26 - 15. Suppose -i + 33 = 3*v, -v + g*v + q = -i. What is the remainder when 30 is divided by v?
8
Let i = -566 + 668. What is the remainder when i is divided by 15?
12
Suppose 33 = 2*v - 53. Suppose -2*p = -f - 1, 3*f = 5*p - 3*p + 17. Calculate the remainder when v is divided by f.
7
Let s(m) = 2*m**3 - 13*m**2 + 10*m + 57. Let j(c) be the third derivative of c**5/60 + c**4/6 + 2*c**2. What is the remainder when s(6) is divided by j(-7)?
18
Let f be (1 - 2) + 2 + (12 - -3). Calculate the remainder when f*3 + -1 + 12/(-3) is divided by 11.
10
Suppose 3*p - p = 8. Let s = 58 - 50. Calculate the remainder when p is divided by (-4)/((s/(-6))/((-6)/(-9))).
0
Let m(v) = 2*v - 13. Let j be m(22). Let c = -2 + j. What is the remainder when c is divided by 14?
1
Let q(f) = f**3 - 10*f**2 - 12*f - 12. Let b be q(11). Let m = b + 45. Calculate the remainder when 41 is divided by m.
19
Let k be 1*2*(-568)/(-16). Let t = k + -39. Calculate the remainder when 93 is divided by t.
29
Suppose 21*h - 17*h - 1036 = -4*v, h = 5*v + 277. What is the remainder when h is divided by 29?
1
Let w(r) be the second derivative of r**4/12 + r**3/2 + 3*r**2/2 + 3*r. Let c be w(-3). Calculate the remainder when 33 is divided by (4 - c)/((-2)/(-34)).
16
Suppose 0 = 1318*d - 1312*d - 360. Calculate the remainder when d is divided by 21.
18
Suppose -32 = -2*m + 48. Let y = 11 + m. What is the remainder when y is divided by 13?
12
Let g(d) = d**2 + d - 4. Let s be g(-4). Let w = s - -101. What is the remainder when w is divided by 22?
21
Let t = 42 + -13. Let d be 82/(-3) - 2/3. Let z = d + 38. What is the remainder when t is divided by z?
9
Suppose -v + 380 + 142 = 0. Suppose 0 = -4*i - 94 + v. What is the remainder when i is divided by 12?
11
Suppose f + 2*b = 276, -51*f = -55*f - 5*b + 1116. What is the remainder when f is divided by 98?
88
Suppose 92 = i - 6*n + 4*n, 3*i - 2*n = 260. What is the remainder when i is divided by 15?
9
Let t(c) = 3*c**2 - 9*c - 10. Let b(a) = a**2 + a + 2. Let s(u) = 4*b(u) - t(u). What is the remainder when s(-13) is divided by 17?
1
Suppose b - 67 = -14*h + 11*h, -2*h + 2*b + 42 = 0. Calculate the remainder when 34 is divided by h.
12
Suppose 320 = 4*z - u, -2*z - 5*u = -7*z + 400. Calculate the remainder when z is divided by 19.
4
Calculate the remainder when (63 - 55)/((-2)/(-22)) is divided by 17.
3
Let p(f) = -f**2 + 13*f - 7. Let l be p(12). Suppose 269 = -l*s + 1074. Let k(n) = n**3 + 8*n**2 - 8. What is the remainder when s is divided by k(-7)?
38
Suppose 3*i = 5*z + 5, 0 = 4*z + z - 10. Suppose -36 = -8*k + i*k. Calculate the remainder when 47 is divided by k.
11
Let w be (-80)/(-14)*(-21)/(-6). Let v be (8/w)/((-1)/(-55)). Suppose -5*l = -5*a + 90, -a - 2*l - v = -2*a. What is the remainder when 27 is divided by a?
13
Let a be (3/(-1) - -49) + -1. Suppose 3 = 4*y + 2*f - 67, -4*y = -3*f - a. Suppose -147 - 27 = -3*t. What is the remainder when t is divided by y?
13
What is the remainder when 1167 is divided by 1377/21 - (7 - (-135)/(-21))?
62
Suppose -o = -q - 13, -3*q + 15 - 3 = 0. Calculate the remainder when 66 is divided by o.
15
Let z(j) = -j**3 - 6*j**2 + 10*j + 41. What is the remainder when z(-7) is divided by 11?
9
Let c(q) = -2*q - 4*q - 3 + 12 - q. What is the remainder when c(-8) is divided by 22?
21
Suppose -2*r + c + 0 = -12, 3*c - 14 = -4*r. Suppose 63 + 37 = r*x. Calculate the remainder when 39 is divided by x.
19
Let d = -757 - -769. What is the remainder when 250 is divided by d?
10
Suppose 0*x + 3*x = c + 19, -4*c = x + 11. Suppose s = -6*b + x*b + 63, -4 = s. Calculate the remainder when b is divided by 23.
21
Let c(a) = 8 - 4 - 9*a - 10. Suppose 5*r = -5*y + 55, 0 = 2*y - 5*r + 3*r - 10. What is the remainder when c(-3) is divided by y?
5
Calculate the