d by 51?
42
Suppose 3*x - 224 = 4*f, -4 = 22*f - 20*f. Calculate the remainder when x is divided by 15.
12
Let w be (-2)/(2/5)*-1. Suppose -r + w*r = 80. Calculate the remainder when 35 is divided by r.
15
Let q be (-4424)/(-35) - (-4)/(-10). Suppose 6*x + q = 13*x. What is the remainder when 106 is divided by x?
16
Let z(w) be the first derivative of -7 - 1/2*w**2 - 2*w. Calculate the remainder when z(-6) is divided by 1.
0
Suppose -4*l = -5*q - 82 - 58, -5*q = l - 35. Let s be (-2)/(-4)*(-98 + -4). Let m = -39 - s. What is the remainder when l is divided by m?
11
Let q = 11 - 18. Let c(x) = 5*x + 16. Let i be c(q). Let r(d) = -d**2 - 19*d + 2. What is the remainder when 4 is divided by r(i)?
0
Let k(r) = -r**2 + 3*r + 2. Let g be k(2). Suppose -2*f + u = -f - 9, 0 = 2*f + g*u - 24. What is the remainder when 39 is divided by f?
9
Let f(q) = -4*q**2 + 3*q + 1. Let r be f(4). Let k = -29 - r. Calculate the remainder when 42 is divided by k.
20
Let c = 46 + -30. Suppose 2*b + 6 = d, -2*b - b + c = d. What is the remainder when 26 is divided by d?
6
Suppose 0 = 5*j - k - 11, -375*k + 377*k - 8 = 0. Let r = -17 + 29. Calculate the remainder when r is divided by j.
0
Suppose -17*v + 22*v - 65 = 0. What is the remainder when 33 is divided by v?
7
Let n = -154 - -162. What is the remainder when 30 is divided by n?
6
Suppose -11*i = 3*i - 350. What is the remainder when 196 is divided by i?
21
Let b(p) = 29*p - 38. Let r = 56 + -36. What is the remainder when b(4) is divided by r?
18
Suppose -18*d + 105 = -39. Let k = 15 - 8. Suppose -7 - d = -3*g, r = g + k. What is the remainder when 47 is divided by r?
11
Let b be -3 - (0 + -1) - 9. Let y = b + -99. Calculate the remainder when (1 + 1)*y/(-4) is divided by 19.
17
Suppose 3 = -h, 0 = 3*m + 2*h + 6 + 6. Let y(g) = g**3 + g**2 - 3*g + 29. What is the remainder when 83/3*(1 - m) is divided by y(0)?
25
Calculate the remainder when 83 is divided by (32 - 22)/((-3)/6*-2).
3
Let l(c) = -23*c - 3. Let d = 80 + -121. Let y = 58 + d. What is the remainder when l(-3) is divided by y?
15
Let c(b) = b**3 - 19*b**2 + 53*b + 25. Calculate the remainder when c(16) is divided by 12.
9
Let s(m) = m + 49. Suppose 0 = 3*i - 37 - 308. Calculate the remainder when i is divided by s(-20).
28
Suppose 278*n + 520 = 330*n. Suppose 2 = 2*p - p. Suppose p*c + 3 = 1, 57 = 2*f + c. Calculate the remainder when f is divided by n.
9
Let b(z) = -z + 36. Let c = -37 - -178. Calculate the remainder when c is divided by b(0).
33
Suppose -4*k = -t + 5 + 8, 6 = -3*k + 2*t. Let c = 40 - 20. Calculate the remainder when c is divided by ((-7)/(-2))/((-2)/k).
6
Suppose -11 = 3*o - t + 36, -20 = 5*t. Let r be (-15 - o) + 8*-1. What is the remainder when 52 is divided by ((-63)/r)/(-7)*-12?
16
Suppose 7*t - 2*t = -25, t + 101 = 3*f. Calculate the remainder when 313 is divided by f.
25
Let p(l) = -l**3 - 8*l**2 - 15*l - 70. Calculate the remainder when p(-8) is divided by 45.
5
Let k = -139 - -254. Calculate the remainder when k is divided by 24.
19
Let p be (-39)/(-1) - 4*3/(-4). Let k(x) = -2*x**3 - 6*x**2 - x + 1. What is the remainder when k(-4) is divided by p*(2/(-18))/((-2)/9)?
16
Suppose -9*p + 7*p - 30 = 0. Let t(n) = n**2 + 12*n - 36. What is the remainder when t(p) is divided by 5?
4
Let v be (-1)/((0 - 2)/4). Let g be -1 + (11 - (v + -2)). Let w = -1 + g. What is the remainder when w is divided by 3?
0
What is the remainder when 702/4*(-66)/(-99) is divided by 53?
11
Suppose 0 = -9*x - 10*x + 133. Calculate the remainder when 20 is divided by x.
6
Let a be 34 - ((-2)/(-3))/((-2)/3). Suppose 29*f - a*f = -186. Calculate the remainder when 58 is divided by f.
27
Let h = -61 - -64. Suppose -2 = 3*f - 14. Suppose -v - 3*j + 5 = 0, -5*v - f*j + 49 = -j. Calculate the remainder when v is divided by h.
2
Suppose -4*k - 65 - 67 = 0. Let s = 3 - k. Calculate the remainder when s is divided by 19.
17
What is the remainder when 679 is divided by 2/(-1) - (-5 + 9 + -11)?
4
Suppose -4*i + 2*i = -22. Suppose 13*k + 19 = 14*k. Calculate the remainder when k is divided by i.
8
Let r(a) = 2*a**2 + 26*a - 3. Let l be r(-12). Let s = 82 + l. Calculate the remainder when s is divided by 8.
7
Suppose -6*m + 16 = -146. Suppose -m = 4*g + 37. Let d = g - -35. Calculate the remainder when 36 is divided by d.
17
Let w = -1531 - -1617. What is the remainder when 205 is divided by w?
33
Suppose 0 = 2*v - 4*u - 31 - 15, 5*v - 106 = u. Let a = v - 9. Calculate the remainder when 21 is divided by a.
9
Let m(s) = -25*s**3 + 3*s**2 + 4*s - 2. Let a(p) = 13*p**3 - 2*p**2 - 2*p + 1. Let c(r) = -5*a(r) - 3*m(r). Calculate the remainder when 49 is divided by c(1).
9
Let h = 8 + -5. Let j(z) = -23*z - 1576. Calculate the remainder when j(-69) is divided by h.
2
Let x = -41 + 47. What is the remainder when 20 is divided by -12*1*(-3)/x?
2
Suppose 2*g + 4*n - 10 = 0, 2*n = -4*g + 2*g + 8. Suppose 2*l - 4 = -3*d, 4 = g*d - d. What is the remainder when 30 is divided by 16 + -2 + (1 - l)?
14
Let c = -2 - -8. Let a = 66 + -46. What is the remainder when a is divided by -7*(-3 + c/3)?
6
Suppose 201 = 12*s - 111. Let l be 8/(-20) + 97/5. Suppose 0 = i + 2*v - l, -i = -4*i + 5*v + 2. What is the remainder when s is divided by i?
8
Suppose 18 = -z - 5*q, -3*q = 2*z + 3*z - 20. What is the remainder when z is divided by 5?
2
Suppose -5*o - 15 = 0, b + o = -3*o - 3. Let a(x) = -4*x**2 + 23*x + 11. Calculate the remainder when b is divided by a(6).
4
Let u(c) = c**2 - 9*c + 2. Let q be u(4). What is the remainder when 74 is divided by (-338)/q + (-26)/(-117)?
17
Suppose -4*y = 36 - 472. Suppose o = 2*g - y, 3*g - 2*o - 45 = 116. What is the remainder when -3 - (-3 + g*-1) is divided by 15?
12
Suppose 0 = 29*d + 7*d - 864. What is the remainder when 110 is divided by d?
14
Suppose -17*s = -6*s - 6039. Calculate the remainder when s is divided by 50.
49
Let i(c) = -2*c**2 - 5. Let p be i(-5). Let s be (-3)/5 + (-10043)/p. Suppose -z = z - s. What is the remainder when z is divided by 31?
29
Let r = 147 - 124. What is the remainder when 35 is divided by r?
12
Suppose 0 = -4*r + 144 - 76. What is the remainder when (9333/18)/r + 2/4 is divided by 2?
1
Let k(f) = f**3 - 9*f**2 + 8*f - 7. Suppose -2*m = 2*c - c - 9, 5*c = 5*m + 105. Calculate the remainder when k(9) is divided by c.
14
Let x(d) = 19*d**2 - 3*d + 12. Let y be x(-6). Calculate the remainder when y/12 + (-6)/(-4) is divided by 21.
19
Suppose 0 = i - 3*b - 43, i - 33 = -2*b - 5. What is the remainder when i is divided by 9?
7
Let t be (-30)/(-16) - 3/(-24). What is the remainder when 10 is divided by 2 + (6 - t)/1?
4
Let m(c) = 21*c. Let n = 5 - 9. Let o(l) = 22*l + 1. Let s(a) = n*o(a) + 5*m(a). What is the remainder when s(3) is divided by 24?
23
Let x be (-4 - 0 - 16)*1. Let u be (-1 + 0)/(5/x). Calculate the remainder when 23 is divided by ((-2)/u)/(1/(-24)).
11
Let c = 314 - 261. Calculate the remainder when 369 is divided by c.
51
Suppose 4*g - 2*y + 11 = 97, 4*g = -y + 89. Let m be (-14)/(-4)*(-2 + -2). Let j = g + m. Calculate the remainder when 29 is divided by j.
5
Let s(c) = -9*c - 11. What is the remainder when 189 is divided by s(-3)?
13
Let k(p) = -2*p**3 - p**2 - p + 3. What is the remainder when 7 is divided by k(0)?
1
Let y = 13 + -6. Let l(c) = -4*c - 4. Let j be l(y). Let z = -21 - j. Calculate the remainder when 21 is divided by z.
10
Let q = -3 - -20. Let i = -50 - -59. What is the remainder when q is divided by i?
8
Let j(a) = 50*a + 909. Calculate the remainder when 18 is divided by j(-18).
0
Suppose -u + 4*t = -1, 3*u - t = t + 13. Let m = -4 + 7. Suppose 0 = -a + m*r + 10, -a + 0*a = r - 22. Calculate the remainder when a is divided by u.
4
Let f = 772 + -588. Calculate the remainder when f is divided by 27.
22
Suppose 2*y + 5*r - 143 = 0, -5*r - 80 = -4*y + 161. What is the remainder when y is divided by 14?
8
Let k(p) = 2*p**3 - 13*p**2 + 8*p - 9. Let c be k(6). Suppose -3*j + c = -30. What is the remainder when j is divided by 7?
4
Suppose 110 = 4*k - 4*c + 42, 0 = -4*k - 2*c + 92. Suppose 120 = 5*i - 3*i. What is the remainder when i is divided by k?
18
Suppose 2*i - 3*x - 7 = 0, 2*i - 17 = -i - 2*x. Suppose 0 = i*v + 25, -y = -5*v - 40 - 48. Calculate the remainder when y is divided by 2