remainder when 52 is divided by i.
16
Let w = 0 - -3. Suppose -2*c = k - 9 - 25, w*k - 100 = -4*c. Suppose -4*b + 53 = 2*o + 5, 5*b = -o + 57. What is the remainder when k is divided by b?
10
Suppose 4*p - 6*n - 732 = -2*n, 5*p + 3*n = 939. What is the remainder when p/3*1/2 is divided by 18?
13
Calculate the remainder when 102 is divided by (-11092)/(-423) + (-2 - (-16)/9).
24
Let p(k) = 24*k - 230. What is the remainder when 64 is divided by p(11)?
30
Let b(t) be the second derivative of -7*t**3/3 - t**2 - t. Let f be -2 + 7*9/63. Calculate the remainder when 22 is divided by b(f).
10
Let l be 2/4 - (-90)/20. Suppose -x + 4*d - 10 = 2*x, l*d - 16 = 2*x. Calculate the remainder when 6 is divided by x.
0
Let h(u) = -u**2 + 25*u - 66. What is the remainder when h(15) is divided by 30?
24
Calculate the remainder when 359 is divided by (-84)/24*(-36)/7.
17
Suppose -2*m + 213 = 107. Calculate the remainder when m is divided by 42.
11
Calculate the remainder when 2027 is divided by (-10155)/(-70) + (-15)/210.
142
Let z(s) = -s**3 - 8*s**2 - 4*s - 1. Suppose k + 3*k = -56. Let r = k - -6. What is the remainder when z(r) is divided by 16?
15
Suppose -3*g + 131 - 14 = 0. Suppose -g = -5*d + 31. What is the remainder when 51 is divided by d?
9
Suppose 0 = -5*c + 4 + 46. Suppose -j + 4*a + 0 = -2, 0 = -5*j - 5*a + 85. Calculate the remainder when c/2 - (-31 + -5) is divided by j.
13
Let f(u) = u**2 + u - 5. Let w be f(4). Suppose w - 165 = 2*b. What is the remainder when 34 is divided by b/(-6) + 2/(-4)?
10
Let m = 3 - 12. Let v = m - -14. Suppose v*u - 2*o - 19 = 2, 0 = -4*u - 4*o + 28. Calculate the remainder when 16 is divided by u.
1
Let n(v) = 3*v - 67. Calculate the remainder when 29 is divided by n(24).
4
Let d = -31 - -71. Let h(v) = -37*v + 1. What is the remainder when h(-2) is divided by d?
35
Suppose 1112*s = 1123*s - 253. Calculate the remainder when 177 is divided by s.
16
Let n = 148 + -82. Suppose -n - 102 = -4*z. Calculate the remainder when z is divided by 15.
12
Suppose -104 - 56 = -4*z + 4*r, 4*z + 3*r = 146. Calculate the remainder when z is divided by 22.
16
Calculate the remainder when 824 is divided by (0 - -132) + -10 + 10 + 7.
129
Let m(f) = -f**3 - 2*f**2 - 4*f + 2. Let r(g) = g + 21. Let d be r(-25). Calculate the remainder when m(d) is divided by 13.
11
Suppose -2*l - 3*q = -160, q - 161 = -3*l + 86. What is the remainder when 1907 is divided by l?
81
Let d(l) = 2 + l**3 - 5 + 7 - 7*l**2. What is the remainder when d(8) is divided by 23?
22
Let z = 183 + -125. What is the remainder when z is divided by 15?
13
Suppose -4*x + 79 = -149. Calculate the remainder when x is divided by 13.
5
What is the remainder when 570 is divided by (-48)/(-840) - (-5736)/70?
78
Let l(c) = -6*c + 47. Let m be l(8). Let j(b) = -114*b**3 + b**2 - b - 2. Calculate the remainder when j(m) is divided by 23.
22
Let h(v) = -8*v - 103. Let r(x) = -x**3 + 7*x**2 - 7*x + 8. Let q be r(6). What is the remainder when 0 + 71 + q - 1 is divided by h(-16)?
22
Let d(x) = 313*x + 27. What is the remainder when ((-104)/3 + 0)*-3 is divided by d(0)?
23
Let f(n) = -6 + n - 6*n - n**2 + 0 + 4. Let j be f(-4). Suppose 104 = j*v - 124. What is the remainder when v is divided by 29?
27
Suppose 3*g - 9 = -0. Let x be ((-8)/(-20))/(g/(-60)). Calculate the remainder when 4/(-32) - 33/x is divided by 3.
1
Let c(n) = n**2 - n - 2. Let f(b) = b - 8. Let z be f(11). Calculate the remainder when 10 is divided by c(z).
2
Let u(p) = 14*p**2 - 2*p - 1. What is the remainder when (-3)/(24/(-64)) + 18/1 is divided by u(-1)?
11
Let j be (-3 + 39/15)*10. Let p(q) = -10*q - 1. Suppose -4*l + 53 = z, 5*z = l - 2*l - 1. Calculate the remainder when p(j) is divided by l.
11
Suppose 4*u + 15 = -2*t - u, -5*u = 15. What is the remainder when 47 is divided by (-25)/(-1 - t/2)?
22
Let c(l) = 4*l**3 - 5*l**2 + 4*l + 7. Let o(j) = 3*j**3 - 4*j**2 + 4*j + 6. Let v(g) = 4*c(g) - 5*o(g). Calculate the remainder when v(3) is divided by 11.
2
Let s = 389 - 399. Suppose 2*m + 18 = 3*m. Let g = s + m. What is the remainder when g is divided by 3?
2
Let c(z) = z**2 - 43*z + 354. Calculate the remainder when c(35) is divided by 19/((6/(-2))/(-3)).
17
Let q = 3 - 0. Suppose 5*l - q*o = 19, 6*o = -l + 2*o + 13. What is the remainder when 44 is divided by l?
4
Let n = 331 + -296. Calculate the remainder when 144 is divided by n.
4
Let x be -22 - 4 - (3 - 6). Let i = x - -29. Calculate the remainder when 14 is divided by i.
2
Let o be 3/((-4)/(-16)*4). Suppose 4*l - 8 = 0, -o*l + 38 = 4*j - 28. What is the remainder when 1/((-3)/492*-4) is divided by j?
11
Let u(q) = -q**2 - 12*q - 2. Let v be u(-10). Let h = 71 - v. Let s = h + -31. Calculate the remainder when 86 is divided by s.
20
Suppose 0*i = 5*i - 10. Suppose 22 = v + i. Suppose 0 = 5*b - 77 - 118. What is the remainder when b is divided by v?
19
Suppose 6*k - 21 - 15 = 0. What is the remainder when 133 is divided by 2 - 13/k - 55/(-6)?
7
Let p(r) = r**2 - 5*r - 18. Suppose -6*w - 897 = -19*w. Calculate the remainder when w is divided by p(9).
15
Let k = -2 + -40. Calculate the remainder when 19 is divided by -3 + (3 - k)/3.
7
Let z be ((-4)/(-10))/((-11)/(-605)). Let n = 3 + z. Calculate the remainder when n is divided by 14.
11
Suppose 608 = -1713*a + 1729*a. What is the remainder when 81 is divided by a?
5
Suppose -242 = -91*y + 31. Suppose q - 2*m - 16 = 2*m, -12 = 2*q + 3*m. Calculate the remainder when (1 - q)*(19 + 0) is divided by y.
1
Let s(w) = 7*w + 117. What is the remainder when 76 is divided by s(-11)?
36
Let c(v) = -8*v - 20. Let s(g) = 7*g + 20. Let p(u) = -5*c(u) - 6*s(u). Calculate the remainder when p(-12) is divided by 3.
1
Let w(j) = j**2 - 5*j - 21. Let s be ((-12)/20)/(1/(-15)). Suppose 4*u + 5*v - 217 = 0, -u + v - 5*v = -46. Calculate the remainder when u is divided by w(s).
13
Suppose 0 = -2*k - 2*k + 16. Suppose 6*g - 45 = -s + g, 18 = s - k*g. Let x = s - 27. What is the remainder when 6 is divided by x?
0
Let k(h) = -3*h - 40. Let v be k(-20). Suppose -l + v = -3*c, -7*l + 2*l - c + 68 = 0. What is the remainder when 23 is divided by l?
9
Let l(q) = -23*q**2 - 6*q - 6. Let g(y) = -69*y**2 - 17*y - 17. Let c(h) = -6*g(h) + 17*l(h). Calculate the remainder when c(-1) is divided by 9.
5
Let b be 3704*4/40 + (-4)/10. Suppose -5*d + 5*s + b = 0, -3*d - d - 2*s = -272. Calculate the remainder when d is divided by 24.
22
Let o = -255 + 272. What is the remainder when 49 is divided by o?
15
What is the remainder when 115 is divided by -2*1/(-2) - (4 - 54)?
13
Let b(m) = 2*m**2 + 2*m - 3. Suppose 5*w - 2*w = 12, -3*v - 5*w = 34. What is the remainder when b(-3) is divided by 1 + v/(-2) - 6?
1
Suppose -16 = 5*n - 41. Suppose -8 - 4 = -4*a + n*b, 2*b - 8 = 0. What is the remainder when a is divided by -3 - 11 - (-14 + -5)?
3
Suppose -2*s - 5*m = -6*s - 63, 4*s + 4*m + 36 = 0. Let w = s - -12. Suppose w = 4*j - 178 + 54. What is the remainder when j is divided by 11?
9
Suppose z - 5*b + 1 = 41, 5*b = -z + 10. What is the remainder when 148 is divided by z?
23
Suppose s - 3*d - 31 - 18 = 0, 0 = 3*s - 2*d - 147. Let j(l) = -l**3 + 5*l**2 + 9*l - 9. Calculate the remainder when s is divided by j(6).
4
Suppose 0 = -o - 5*j + 304, -892 = -4*o - 4*j + 260. Calculate the remainder when o is divided by 12.
8
Let u = -212 + 228. What is the remainder when (2/(-3))/(4/(-186)) is divided by u?
15
Let k be (310/4)/((-4)/(-8)). Suppose f + 4*f = k. Suppose 4*w + 6*n - 5*n = 69, 0 = -5*w + 5*n + 80. Calculate the remainder when f is divided by w.
14
Let q(s) = -s**2 - s + 18. Let f be q(0). Let o(t) = -t + 24. Calculate the remainder when 45 is divided by o(f).
3
Suppose 5*y - 43 - 2 = 0. Suppose z + 105 = 6*z. What is the remainder when z is divided by y?
3
Let f be (45 - -1)*(-5)/10. Let w = 9 - f. Suppose 13 = 3*k - 8. What is the remainder when w is divided by k?
4
Let y be (-1 - 0)*-3 + -72. What is the remainder when 44 is divided by y/(-9)*(1 - -2)?
21
Let x = 0 - -11. Suppose 0 = 4*i - 8. Suppose l - 4 = -z, 5*z - 4 = -i*l + 13. Calculate the remainder when x is divided by z.
2
Let r(m) = 2*m + 6. Let s be (-20)/(-6)*(3 + (-27)/15). Suppose s*v - 200 = -4*w, 4*v + 71 - 274 = -3*w. Calculate the remainder when v is divided by r(6).
17