t z be j(f). Calculate the remainder when 13 is divided by (-4 + z)/((-1)/4).
1
Let s(r) = 20*r**2 + 2*r - 4. What is the remainder when s(-2) is divided by 25?
22
Let j(m) = -m**3 + 10*m**2 - 11*m + 21. Let u be j(9). What is the remainder when u - -17 - 3 - 2 is divided by 6?
3
Suppose -46 = 2*t - 142. Let w = -32 + t. Calculate the remainder when 56 is divided by w.
8
Let m(l) = 3*l**2 + 112*l + 199. What is the remainder when m(-36) is divided by 0 - (-16 - (1 + -3))?
13
Suppose 3*y = 6*y - 63. What is the remainder when 152/7 - (0 + (-6)/y) is divided by 15?
7
Let n(c) = c**3 + 6*c**2 + 3*c + 4. Let u be n(-4). Suppose 45 = 3*i - r, -4*i + 5*r + 25 + u = 0. Calculate the remainder when i is divided by 5.
1
Suppose 460 = -127*i + 129*i. What is the remainder when i is divided by 59?
53
Let d be 9 + -5 + (-3 - -1). Suppose 11 = -4*v + 3, d*v = 3*m - 25. What is the remainder when m is divided by 2?
1
Suppose -22*u + 217 + 355 = 0. Calculate the remainder when 180 is divided by u.
24
Let z be -44 - (0 + (5 - 1)). Let d be (-9)/4*z/9. Suppose 4*j - 60 = -5*s + j, -j + d = s. Calculate the remainder when 46 is divided by s.
10
Suppose c - 33 - 54 = -2*s, 3*c - 226 = s. Calculate the remainder when c is divided by 14.
7
Suppose -2*y = -4*t - 116, 2*t - t = -2. Calculate the remainder when y is divided by (-4)/(10/(-375)*5).
24
Let g(n) = 3*n**2 - 7*n - 6. What is the remainder when 418 is divided by g(-3)?
40
Let u(x) = -18 + 34 - 7*x - 19 + 4*x**2 - 3*x**2. Calculate the remainder when u(-7) is divided by 12.
11
Suppose -2*w = -w - 35. Suppose y = w + 38. Suppose -9*t - 201 = -14*t - 4*f, 4*f = -4*t + 164. Calculate the remainder when y is divided by t.
36
Let g = 83 + -66. Suppose -t + 5 = -0. Calculate the remainder when g is divided by t.
2
Let v = 20 - 8. Let n = 5069 - 4890. Calculate the remainder when n is divided by v.
11
Suppose 5*m = -2*m + 105. What is the remainder when m is divided by 6?
3
Let o(r) = -r**3 - 7*r**2 - 5*r + 8. Let k be o(-6). Suppose 2*w + 365 = 7*w - 5*d, -3*d - 69 = -w. Calculate the remainder when w is divided by -1*k - 0 - -28.
23
Suppose -3*s + 4 = -17. Suppose 5*m + s = 122. Calculate the remainder when m is divided by 12.
11
Let w be (-6 + 4)/(-3 - 20/(-7)). Let c = w + 7. Calculate the remainder when 56 is divided by c.
14
Suppose -10*w + 159 = -281. What is the remainder when 211 is divided by w?
35
Let s be 2*(39 - 2)/1. Let k = s + -1. What is the remainder when k is divided by 37?
36
Suppose 4 = 2*h + 2*h. Suppose 3*x + 20 = 2*l - h, 3*l - 24 = 2*x. Let a(o) = -112*o - 7484. Calculate the remainder when a(-67) is divided by l.
2
Suppose 4 = 3*o - 2. Let j(i) = i**2 + i - 10. Calculate the remainder when (-1047)/(-27) + o/9 is divided by j(-5).
9
Suppose -2 = -z - 0*z. Let v be ((-13)/z + 1)*2. Let t(q) = q + 12. What is the remainder when 3 is divided by t(v)?
0
Suppose 2*r = 3*y + 16, -3 = 2*y + 1. Calculate the remainder when -1*(0 - 41) + -6 + 2 is divided by r.
2
Let p = -65 - -94. What is the remainder when ((10 + -4)/(-18))/(10/(-1590)) is divided by p?
24
Let o(s) = -26*s. What is the remainder when o(-1) is divided by 10?
6
Let i(d) = 9*d + 21. What is the remainder when 7 is divided by i(-2)?
1
Suppose -i - 4*g = 35, -4*i + 2*i + 3*g = 48. Let t = -19 - i. Calculate the remainder when 7 is divided by t/(-6)*(-6)/4.
1
Let f = 122 + -86. Calculate the remainder when 70 is divided by f.
34
Suppose 2*v - 6 = 3*w, v + 3*w - 5 = -2. Suppose -2*f - 1 = -5, -v*n + 4*f - 86 = 0. Let h = -12 - n. Calculate the remainder when 41 is divided by h.
13
Let p = -252 + 356. Let b = p - 72. What is the remainder when b is divided by 11?
10
Let j = 31 - 28. Suppose j*n + 20 - 53 = 0. What is the remainder when 29 is divided by n?
7
Let t(y) = -y - 34. Calculate the remainder when 84 is divided by t(-51).
16
Let r be 24/(-2)*1/(-4). Suppose 0 = r*o - 3, 5*l = 2*l - 5*o + 92. Calculate the remainder when 142 is divided by l.
26
Suppose 33*q = -7*q + 440. What is the remainder when 1152 is divided by q?
8
Let r(b) = -45*b - 1712. Calculate the remainder when r(-39) is divided by -1*(-1 - 22)*1.
20
Suppose 1 = -2*r + 17. Let k(g) = -g + 14. What is the remainder when 10 is divided by k(r)?
4
Suppose -s = i + 3*i - 50, -4*s - 2*i + 214 = 0. Calculate the remainder when 129 is divided by s.
21
Let q(r) = r**3 + 2*r**2 + 5*r + 7. Let t(l) = -2*l**3 - 4*l**2 - 11*l - 13. Let p(o) = 13*q(o) + 6*t(o). Calculate the remainder when p(4) is divided by 27.
24
Suppose 4*y - 18 = 7*y. Let c(u) = 2*u**2 + 9*u. What is the remainder when 34 is divided by c(y)?
16
Let u(n) = -n**3 - 22*n**2 + 5*n + 29. Let p be u(-22). Let v = p - -96. Calculate the remainder when 88 is divided by v.
13
Let s(w) = -1 + 2*w + 14 + 1 - w. Let y be s(-10). Suppose 2 = -3*q - 5*n, 0*q + 3*n = y*q - 7. What is the remainder when 3 is divided by q?
0
Suppose -4*b - 52 = -4*l, -3*l + 2*b + 2*b = -39. Suppose 0 = -9*c + l*c + 36. What is the remainder when (33/c + 4)*219 is divided by 25?
23
Let q = -1 - -6. Let t = q + 11. What is the remainder when t is divided by 11?
5
Suppose -4 = -6*j + 32. Calculate the remainder when (1 - (-3 + j))*33/(-2) is divided by 12.
9
Let k(z) = 10*z**2 + 9*z - 4. Calculate the remainder when 58 is divided by k(-2).
4
What is the remainder when 71 is divided by -345*13/(-507) + (-2)/(-13)?
8
Suppose 87*c - 7170 = 138. Let m(o) = o**3 + 6*o**2 - 4*o + 5. Let f = -1 - 5. What is the remainder when c is divided by m(f)?
26
Calculate the remainder when -4 + (-890)/(-35) + 4/7 is divided by 9.
4
Suppose 39 - 29 = -2*x, -5*x + 3 = 4*k. Calculate the remainder when 206 is divided by k.
3
Let c(h) = 2*h**2 - 20*h + 95. Calculate the remainder when c(13) is divided by 80.
13
Let h(y) = y**2 - 47. What is the remainder when 5 is divided by h(7)?
1
Suppose 3*a + 4*g = 206, 2*a = 3*a + 5*g - 65. What is the remainder when a is divided by (8/(560/126))/(3/20)?
10
Let d(r) = -r**2 - 12*r - 26. Let x be d(-8). Suppose 3*y = 5*j - 0*j + 8, -x = -y + j. Calculate the remainder when 53 is divided by y.
9
Let o be 52/18 + (-1)/(-9). Suppose -4*g + 5*b + 2056 = o*b, -2*g = -5*b - 1036. Suppose 6*f - g = -21. What is the remainder when f is divided by 21?
19
Let f = -36 - -36. Suppose -2*z = -4*x + 140, -5*z + 1 - 11 = f. Calculate the remainder when x is divided by 18.
16
Let d be ((-606)/(-9) - 2) + 6/9. Calculate the remainder when 82 is divided by 7/14 + d/4.
14
What is the remainder when ((-15)/(-5))/(6/52) is divided by 15?
11
Suppose 4*w - 46 - 118 = 0. Let f = 10 + -3. Calculate the remainder when w is divided by f.
6
Let c(k) = 42*k + 3. Calculate the remainder when c(3) is divided by 26.
25
Suppose 3464 + 505 = 9*i. Suppose 0 = 71*c - 74*c + i. What is the remainder when c is divided by 25?
22
Let o be (-3)/12 + (-21)/(-4). Suppose -o*j + 98 = -47. Let b(f) = f + 3. Calculate the remainder when j is divided by b(7).
9
Suppose 20*z + 95 = 39*z. Suppose 3*d + 3 = 54. Calculate the remainder when d is divided by z.
2
Let q(x) = x**3 - x**2 + 2*x + 1. Suppose -101*b - 105 = -104*b. Calculate the remainder when b is divided by q(2).
8
Suppose -9*h = 8*h - 3468. What is the remainder when h is divided by 53?
45
Calculate the remainder when 12/(-48)*44 + 84 is divided by 35.
3
Suppose 30 = b + 11. Calculate the remainder when 78 is divided by b.
2
Let t(h) = -h**2 + h. Let x(a) = -8*a**2 + 5*a + 4. Let d(y) = 2*t(y) - x(y). Suppose 0 = -12*p + 44 - 8. Calculate the remainder when d(p) is divided by 22.
19
Suppose -3*u - 3*t = 1 + 8, 3*t + 21 = 3*u. Suppose -135 = -u*b - 29. Let k(d) = -d + 30. Calculate the remainder when b is divided by k(16).
11
Suppose -4*d - v + 35 = 0, 17*v - 12*v = -4*d + 15. What is the remainder when 171 is divided by d?
1
Let p = -59 + 181. Calculate the remainder when p is divided by 26.
18
Let f(d) be the third derivative of d**4/8 - d**3/2 - 7*d**2. Let n be f(-7). Calculate the remainder when 51 is divided by ((-16)/n)/(2/39).
12
Let t = -8 + 52. Let d = 55 - t. What is the remainder when 29 is divided by d?
7
Let y = 1 - -18. Let m = y - 18. Let x(i) = 65*i**2 + 1. Calculate the remainder when x(m) is divided by 17.
15
Suppose -c + 475 = 4*c. Let g(j) = j**3 - 27*j**2 - 87*j - 66. Calculate the remainder wh