ed by 24.
18
Let r = 584 - 569. Calculate the remainder when 358 is divided by r.
13
Let p be 148/5 - 4/(-10). Let z = p + 34. Calculate the remainder when z is divided by 13.
12
Suppose 3*s + 0*n = 3*n + 576, -5*n = s - 192. Suppose -3*d = 3*d + s. Calculate the remainder when d/(-6)*9/12 is divided by 3.
1
Suppose 6*m = 4*c + m, -2*m + 33 = 5*c. Calculate the remainder when 0 + 16 + 0 - 2 is divided by c.
4
Suppose f - 7 - 20 = 5*p, 5*p = -3*f - 19. Let o be (2/(-5))/(f/10). What is the remainder when 3 is divided by 1/o + (-5)/(-2)?
1
Let o(a) = -23*a + 84. Let x(w) = w**2 + w + 4. Calculate the remainder when o(1) is divided by x(3).
13
Let l = -86 - -11. Let f = -51 - l. What is the remainder when f is divided by 14?
10
Suppose 18*c - 1305 - 2871 = 0. Calculate the remainder when c is divided by 47.
44
Let i(n) = -n**2 - 16*n - 3. Let h be i(-17). What is the remainder when -1 + 124/(h/(-5)) is divided by 8?
6
Let g be (-44)/33*(-9)/6. Suppose 22 + 46 = g*x. Calculate the remainder when 101 is divided by x.
33
Let w be (-4)/(-10) - 2/5. Suppose 4*h + 0*h + v - 235 = 0, w = -2*h - v + 117. Calculate the remainder when h is divided by 15.
14
Let m(c) = -c**3 - 6*c**2 - c + 27. Let r(t) = -3*t**3 - 18*t**2 - 4*t + 80. Let l(f) = 7*m(f) - 2*r(f). What is the remainder when l(-6) is divided by 6?
5
What is the remainder when 246 is divided by 9/12 + (-5)/(-20) - -18?
18
Suppose 51 = 10*t - 19. Suppose -g + 95 = 4*g. Calculate the remainder when g is divided by t.
5
Let k = -5 + 221. What is the remainder when k is divided by 75?
66
What is the remainder when 38 is divided by (0 - -25)/((-4)/(-4))?
13
Let d(l) = l**2 - 21*l + 47. What is the remainder when 233 is divided by d(19)?
8
Let n(f) = f**3 - 2*f**2 - 2*f - 3. Let h be n(3). Suppose -6*b + b + 110 = h. Calculate the remainder when (-4)/b + (-2320)/(-55) is divided by 11.
9
Let p be (-5)/20 - (-105)/(-12). Let f = 11 + p. Suppose -2 = 2*i - 10. What is the remainder when i is divided by f?
0
Suppose -3*r + 30 = -3. Let y(h) be the second derivative of h**5/20 - h**4 + 2*h**3 - h**2 + 3*h. Calculate the remainder when 33 is divided by y(r).
6
Let b = -931 - -1000. What is the remainder when 285 is divided by b?
9
Suppose n = 14 + 83. Suppose 0 = -4*b + 300 - 232. What is the remainder when n is divided by b?
12
What is the remainder when (-94 + 0)/(-5 - -3) is divided by 3 + (-46)/(-3) + (-2)/6?
11
Suppose -145 = -3*i - 5*k, 5*i + 2*k + 22 = 232. Calculate the remainder when 235 is divided by i.
35
What is the remainder when 71 is divided by (31/(-3) - -9)*(-57)/2?
33
Let d be ((-33)/9)/(1/(-6)). Suppose 0 = 4*h - 2*u - d, -h + 2*u - 2 = -0*u. Let p = -12 + 34. What is the remainder when p is divided by h?
6
Suppose -11*r + 7*r - 56 = 0. Calculate the remainder when 19 is divided by (-11 - -9)/(4/r).
5
Let x be -12*(-4 + 21/6). Suppose -x*s + 11*s = 245. Calculate the remainder when 143 is divided by s.
45
Let s(x) = -21*x. Let d be s(1). Let u = d + 23. What is the remainder when -1*u + (108 - 7) is divided by 17?
14
Suppose -3*b + 10 = -5*c, 2*b = -6*c + c - 10. Let o = c + 4. Suppose -o*i = -43 - 121. What is the remainder when i is divided by 21?
19
Let l = 1013 - 984. What is the remainder when 84 is divided by l?
26
Suppose -2*h + 8 = 2, s + 6 = 2*h. Suppose 5*k + s*k = 15. Suppose 0 = 2*i - 31 + 7. Calculate the remainder when i is divided by k.
0
Suppose 3*m + 4*m = 280. Let k = -28 + m. Suppose -k = -f + 5. What is the remainder when f is divided by 6?
5
Suppose 1281 = 3*k - 5*y, -5*y = -4*k + 1565 + 143. Calculate the remainder when k is divided by 43.
40
Let a = 42 + 38. Let x = a - 74. What is the remainder when 16 is divided by x?
4
Suppose 22*m = 28*m - 132. Calculate the remainder when 238 is divided by m.
18
Suppose 0 = -c + 3*s + 11, 96 = 2*c + 2*c + s. What is the remainder when 111 is divided by c?
19
Let i = 64 + -79. What is the remainder when (-26 + i)*(-3 - -1) is divided by 21?
19
Let g be (-9)/3 - 0 - -22. Suppose -40 - g = -j. Let h(f) = -12*f + 3. What is the remainder when j is divided by h(-1)?
14
Suppose 2*l + w - 186 = 0, 10*l - 5*l = -2*w + 467. Suppose 9*c + 86 = 266. What is the remainder when l is divided by c?
15
Let j(l) = 2*l**2 - l + 1. Let o be j(-1). Suppose -o*u + 9*u + 10 = 0. What is the remainder when 47 is divided by 4 - u*(5 - 2)?
7
Suppose 46*g - 37*g - 864 = 0. What is the remainder when g is divided by 31?
3
Suppose -4 = 2*d - 50. What is the remainder when 137 is divided by d?
22
Let t(h) = h**3 + 10*h**2 + 3*h + 7. Let m be t(-10). Let p = -8 - m. Let l = -16 - -74. What is the remainder when l is divided by p?
13
Let n = 157 + -148. Suppose 0 = m + 3*g + 11 - n, 4*g + 26 = 2*m. Let f(j) = -j**3 + 3*j**2 + j + 2. What is the remainder when m is divided by f(3)?
2
Let z(h) = h + 2. Let r be z(-3). What is the remainder when 9 is divided by -1 + r + 1 + 5?
1
Let v(y) = 9*y**2. Suppose 8 = -3*h + 20. What is the remainder when v(1) is divided by h?
1
Suppose -6*u + u - 3*d = -264, 3*d = -3*u + 162. Let g = -3970 - -3983. Calculate the remainder when u is divided by g.
12
Suppose 12*y = 18*y - 60. What is the remainder when 437 is divided by y?
7
Let d be -15 + 15 + 2*(4 + -1). What is the remainder when 21 is divided by (15/25)/(d/60)?
3
Calculate the remainder when 64 is divided by (-11)/((-51)/(-9) + (-24)/4).
31
Let m(h) = -h**3 + 2*h**2 + 9*h - 11. Let n(g) = g**2 - 4*g - 6. Let r be n(5). Let l = r - -3. What is the remainder when m(3) is divided by l?
1
What is the remainder when 61 is divided by 4*(245/20)/7?
5
Suppose 0 = -0*c - 2*c + 10. Suppose c*p = 77 + 8. Let s = 17 + -7. What is the remainder when p is divided by s?
7
Suppose 0*t - t = -4*a + 56, 5*a - 69 = t. Calculate the remainder when 74 is divided by a.
9
Let v = 1044 - 1031. Calculate the remainder when 59 is divided by v.
7
Let a be ((-1 - -2) + -1)/((-10)/5). Suppose -5*d = 5*x - 595, 0 = -x - a + 5. Calculate the remainder when d is divided by 23.
22
Let g(o) = -2*o**3 - 34*o**2 + 4*o + 72. Let s = 12 + -34. Let w = -4 - s. What is the remainder when w is divided by g(-17)?
2
Let d(p) = 13*p**2 + 5*p + 12. What is the remainder when d(-5) is divided by 35?
32
Let o(d) = 812*d**2 - 6*d - 3. Calculate the remainder when o(-1) is divided by 12.
11
Let z(g) = 2*g**3 + 4*g**2 - 13*g - 23. Let a(d) = -d**3 - 2*d**2 + 6*d + 11. Let q(m) = 13*a(m) + 6*z(m). Calculate the remainder when 18 is divided by q(-2).
3
Suppose 9*p - 5*n - 705 = 4*p, -4*p + 584 = n. Calculate the remainder when p is divided by 45.
10
Let h = -128 + 182. Let r be 5 + -3 + 5 + 0. Let x(a) = -a**3 + 7*a**2 + 3*a - 7. Calculate the remainder when h is divided by x(r).
12
What is the remainder when (-3)/(-24) + 527/8 is divided by 14?
10
Let h be (8/16)/((-2)/(-16)). Suppose 0 = -5*u + 61 + h. What is the remainder when 25 is divided by u?
12
Let n(l) = -13*l + 7. What is the remainder when n(-5) is divided by 13?
7
Let r(a) be the third derivative of -17*a**4/24 - 5*a**3/3 + 30*a**2. What is the remainder when 44 is divided by r(-2)?
20
Suppose 6*w = -3*w - 459. Let u = w + 99. What is the remainder when u is divided by 26?
22
Let s = -7 + 9. Suppose s*b = -2*g + 54, -4*g - 162 = -5*b - 0*g. Let m = b - 13. Calculate the remainder when 66 is divided by m.
15
Calculate the remainder when 257 is divided by 1*2*((-1924)/8)/(-13).
35
What is the remainder when (6/(-8))/(1/(-188)) is divided by 15?
6
Calculate the remainder when 149 is divided by 1220/60*(3 + 0) - -6.
15
Let k = -1226 - -1738. Calculate the remainder when k is divided by 19.
18
Suppose 0 = -4*a - 20, -5*t + 357 = 4*a + 102. Let j(g) = -14*g**3 - g**2 + 1. Calculate the remainder when t is divided by j(-1).
13
Let f(h) = -h**3 + 7*h**2 - h + 3. Let c = 1 + 5. Let a be f(c). Suppose 2*b = b + a. What is the remainder when b is divided by 9?
6
Let r = 9 + -7. Let u(k) = -2*k**2 + 2*k + k**2 + 4*k**r + k - k**3. Calculate the remainder when 25 is divided by u(-2).
11
Suppose -2*n = -8, n = 4*w - 16 + 4. Suppose l - w*l = -48. What is the remainder when 59 is divided by l?
11
Let o(z) = z**3 + 4*z**2 + 5*z + 6. Let w be o(-5). Let p = 44 - w. Suppose p = 5*v - v. What is the remainder when 64 is divided by v?
20
Let h = 144 - 139. What is the 