h.
53
Let s = 20 - 25. Let n = s + 15. Let k = -37 + 66. Calculate the remainder when k is divided by n.
9
Suppose -241 = -4*n + 35. Calculate the remainder when n is divided by (2 + -23)*(-2)/3.
13
Suppose -6*a - 3*l + 32 = -2*a, -l = 3*a - 24. Suppose -5*d + 3*t = -140, 5*t - 80 - 60 = -5*d. Calculate the remainder when d is divided by a.
4
Let r(z) = z**2 - 16*z + 11. Suppose 6*q - 4*q = 8. Suppose 6*n - 4*u = 5*n + 51, 0 = q*n - 5*u - 149. What is the remainder when n is divided by r(16)?
9
Suppose -408 = -27*i + 3*i. What is the remainder when 38 is divided by i?
4
Suppose -14 = -3*d + 7. What is the remainder when 3/(-5)*d*-15 is divided by ((-64)/((-40)/(-10)))/(-1)?
15
Let p(d) = d**3 + 7*d**2 - 4*d + 15. Calculate the remainder when 641 is divided by p(-7).
39
Suppose -11*n + 120 = -8*n. Let w(p) = p + 1. Let c(j) = 12*j - 2. Let o(b) = c(b) + 2*w(b). Calculate the remainder when n is divided by o(1).
12
Let c(u) = u**3 + 5*u**2 - u + 4. Let r = -17 - -12. What is the remainder when 17 is divided by c(r)?
8
Let u = -119 + 125. Let b = u - -29. Suppose 2*h - 22 = 2. What is the remainder when b is divided by h?
11
Suppose -2*j + 7*j = 25. Let k = 33 - j. Let d = k - 13. What is the remainder when 29 is divided by d?
14
Let d(x) be the third derivative of -7*x**4/24 + 9*x**3/2 + 22*x**2. What is the remainder when d(-13) is divided by 24?
22
Suppose -2*h = 6, 5*h - 23 = -5*m + 7*m. Let n = -4 - m. What is the remainder when 59 is divided by n?
14
Let p = 3 + -22. Let q be (-2)/(-10) + p/(-5). Suppose -q = -3*h + 116. What is the remainder when h is divided by 14?
12
Let v(a) = 19 - 2*a - 3 + 4. Calculate the remainder when 83 is divided by v(-11).
41
Suppose -30*k + 1062 = -618. What is the remainder when 352 is divided by k?
16
Let m(p) = 33*p**3 + 3*p**2 + 3*p - 4. What is the remainder when m(2) is divided by 94?
90
Let j(w) = 2*w**3 + 104*w**2 + 38*w + 273. Calculate the remainder when j(-51) is divided by 61.
60
Let t = -18 - -19. Suppose 0 = -5*m - 2*z + 24 + t, m = 5*z + 5. Calculate the remainder when (-160)/(-24) - (-1)/3 is divided by m.
2
Let q(h) = -h**3 + 13*h**2 - 16*h - 12. Let f be q(11). Calculate the remainder when 26 is divided by 801/f + (-2)/(-12).
11
Let y = -86 - -88. Suppose -5*o = -3*w - 32, -y*o + w - 6*w = 12. Calculate the remainder when o is divided by 3.
1
Let q(j) = -j**3 - 13*j**2 + 29*j - 8. What is the remainder when 27 is divided by q(-15)?
6
Suppose 0 = -69*i + 77*i - 16. Calculate the remainder when 3 is divided by i.
1
Suppose -5*x + 39 = -56. Suppose -b + 65 = 5*z, z + 0*b = b + x. What is the remainder when 25 is divided by z?
11
Let d(p) = p**2 + 3*p - 3. Let b be d(-5). Let l = b + -5. Suppose -x + l*x = 25. Calculate the remainder when x is divided by 14.
11
Suppose 0 = 2*w + 3*y - 79, -30*y + 190 = 5*w - 25*y. What is the remainder when 590 is divided by w?
30
Suppose 0 = 17*f - 12*f - 5. Let c(n) = -n**2 + 7*n - 3. Suppose -s - 18 = -4*s. What is the remainder when c(s) is divided by f?
0
Let b(q) = -q**2 + 22*q - 28. Let n be b(14). Let p = n + -83. Calculate the remainder when 4 is divided by p.
0
Let x be 1 + (-3 - -2 - -3). Suppose x*s - 280 = -25. What is the remainder when s is divided by 134/6 - 3/18*2?
19
Let c(p) = -7*p**3 - 2*p**2 + p - 2. Suppose 4*m + 5*h - 112 = 0, 3*m + h = -4*h + 89. Calculate the remainder when c(-2) is divided by m.
21
Let d(a) = 5*a + 2. Let j be d(5). Let x = 29 - j. Calculate the remainder when (x/(-3))/((-6)/792) is divided by 18.
16
Let n = -105 - -151. Let v(g) = -8*g**3 - 2*g**2 - 5*g - 4. Calculate the remainder when n is divided by v(-1).
4
Let s = -45 - -68. Let g(p) = -3*p - 21. Suppose -13*f = -17*f - 44. Calculate the remainder when s is divided by g(f).
11
Let l(r) = -r**3 + 12*r**2 - 4*r - 28. Let t = 28 + -17. Let h(q) = -3*q + 4. What is the remainder when l(t) is divided by h(-3)?
10
Suppose 4*n + 50 = -2*o + 142, 3*n = 4*o + 69. Calculate the remainder when 136 is divided by n.
21
Suppose -596*y + 210 = -582*y. Calculate the remainder when 494 is divided by y.
14
Let h(j) = -j**3 + 7*j**2 + 12*j - 31. What is the remainder when 63 is divided by h(7)?
10
Suppose 3*h = -5*c + 149, 2*c - 98 = -2*h - 2*c. Calculate the remainder when h is divided by 9.
8
Let w(f) = 2*f + 11. Calculate the remainder when w(-2) is divided by 4.
3
Let l(y) = 5*y - 67. Let s be l(14). Suppose -s*m + 37 = -8. Calculate the remainder when m is divided by 8.
7
Suppose 0 = -3*i + 104 - 83. Let b(m) = 15*m - 15. Let v(w) = 23*w - 22. Let y(k) = 8*b(k) - 5*v(k). Calculate the remainder when y(i) is divided by 14.
11
What is the remainder when (-16)/(-88) - (-20316)/66 is divided by 52?
48
Let p(z) = z**3 - 15*z**2 + 15*z + 4. Calculate the remainder when 51 is divided by p(14).
15
Suppose 6*s + 222 = 8*s - 4*q, 3*q = 5*s - 534. What is the remainder when s is divided by 3?
0
Let o(x) = -x**2 + 5*x - 5. Let s be o(5). What is the remainder when 10*s/(5/(-3)) is divided by 1 - 3*4/(-4)?
2
Let g(k) = -k**3 - 16*k**2 + 16*k - 7. Let f be g(-17). Suppose f*d = 5*d + 170. What is the remainder when 133 is divided by d?
31
Suppose -38*m + 4*m = -816. Calculate the remainder when m is divided by (-2)/10 + 66/5.
11
Let d(r) = r**2 - 15*r + 20. Let b be d(14). Let a(n) = n**3 - 6*n**2 + 2*n - 6. Calculate the remainder when 29 is divided by a(b).
5
Let i(b) = 67*b - 33. Let q be i(-16). What is the remainder when q/(-25) - 2/10 is divided by 12?
8
Let a(y) = 9*y + 57. Let g be a(-6). Let t = 1 + -2. Calculate the remainder when t*(g + 11)*-6 is divided by 17.
16
Suppose 4*x + w - 18 = 0, -4*x + 0*w = -w - 14. Suppose -o - 1 = -x. Calculate the remainder when -6*(9/(-2) - -3) is divided by o.
0
Let l(f) = -f. Let w(s) = 5*s**2 - 2*s - 2. Let c be w(-1). Suppose -i - i + 11 = 3*y, i = c*y - 14. Calculate the remainder when l(-3) is divided by i.
0
Suppose 51 = g + 5*o, -3*g + 5*g + 4*o = 84. Let n = 185 - 7. Calculate the remainder when n is divided by g.
34
Suppose 2*b = t - 15, 4*t + 5 = 3*t - 2*b. Let u = t - -6. What is the remainder when u is divided by 7?
4
Suppose 0 = -f - 2*h - 5, 0 = 123*f - 118*f + 3*h - 10. What is the remainder when f is divided by 4?
1
Suppose 7560 = -146*m + 161*m. What is the remainder when m is divided by 39?
36
Let w(q) = q**3 - 3*q + 6. Let c(k) = 2*k**3 - 5*k + 12. Let l(s) = -3*c(s) + 7*w(s). What is the remainder when l(3) is divided by 8?
7
Let x(b) = -b**2 - b + 22. What is the remainder when (-1)/2*-256*2/4 is divided by x(0)?
20
Suppose -4*y = -179 - 849. Calculate the remainder when y is divided by 44.
37
What is the remainder when 115 - (30/18 - (-1)/3) is divided by 57?
56
Let v = 17 - -4. Suppose -29 = 2*o + v. Let g = o - -38. Calculate the remainder when 49 is divided by g.
10
Let y be 3*(2/3)/(4/(-8)). What is the remainder when 30 is divided by 20 - (8 + 16/y)?
14
Suppose -49*r + 4 = -50*r, -5*h + r = -279. What is the remainder when h is divided by 22?
11
Let j = 201 - 179. Calculate the remainder when j is divided by 6.
4
Suppose -747*v = -733*v - 1764. What is the remainder when 1005 is divided by v?
123
Suppose 16*l + 5*l - 3738 = 0. What is the remainder when l is divided by 36?
34
Suppose 0 = -2*s - 6 + 44. Suppose -15*a + 16*a = 5*g - 181, -4*g + 4*a = -132. Calculate the remainder when g is divided by s.
18
Let h = 19 + -15. Suppose p - 43 = 38. Calculate the remainder when p is divided by ((-4)/8 - 3)/((-1)/h).
11
Calculate the remainder when (141/(-15) + 9)*-30 is divided by 7.
5
Suppose 0 = l + r - 0*r - 4, -2*l - 5*r = 4. Suppose 3*j - 18 = -0*j. What is the remainder when j/9 + (-122)/(-6) is divided by l?
5
Let m(g) = -17*g + 3. Let c be m(-3). Suppose 3*j = -t + c, 0 = -4*j - 2*t - t + 72. What is the remainder when j is divided by (-136)/(-16) - 6/(-4)?
8
Calculate the remainder when 797/15 + 749/(-105) + 7 is divided by 6.
5
Let t = -63 - -70. What is the remainder when t is divided by 3?
1
Suppose -8*d - 17 - 15 = 0. Calculate the remainder when 32/d*-1 + -4 is divided by 1.
0
Suppose -80 = -19*c + 14*c. Suppose -14 = -3*q + c. What is the remainder when 38 is divided by q?
8
Let i = 418 - 405. Suppose 417 = 5*z + 4*m - 151, -3*z + m + 334 = 0. Suppose 40 - z = -2*h. What is the remainder when h is divided by i