is divided by x.
1
Let y be (-4)/(-3)*1*6. Let m = 23 + y. What is the remainder when m is divided by 8?
7
Suppose -z + 9 = z - y, 2*y + 25 = 5*z. Calculate the remainder when 95 is divided by z.
4
Suppose 50 = 5*a - c - 147, 4*a + 5*c = 175. Suppose 0 = -5*l - 8 - 2, -b = -4*l - a. What is the remainder when b is divided by ((-6)/(-4) - 2)*-22?
10
Let f be (-4)/14 - (-74)/14. Suppose f*t - 5*u = 280, -u + 224 = t + 3*t. What is the remainder when t is divided by 20?
16
Let m(u) = -3*u + 9. Let v be m(6). What is the remainder when (-416)/v + (-4)/18 is divided by 16?
14
Suppose 0 = 3*u - 12 - 12. Suppose 2*g - 28 = -u. Suppose 3*l = -z - 4, -z + 0*l - 5*l = g. Calculate the remainder when z is divided by 3.
2
Let i = -3 + 6. Suppose 2*p + 0*a = -2*a, -4*a = -i*p + 35. Let h = 37 + -35. Calculate the remainder when p is divided by h.
1
Suppose -72 = d - 2*d. Let z = -39 + d. Calculate the remainder when z is divided by 17.
16
What is the remainder when 13 is divided by (-1)/(3/(-24) + 0)?
5
Let a(w) = -5*w + 1. Let h be a(-1). Suppose 0 = -4*u + h + 2. Suppose -59 = -u*q + 5*m, 0 = 5*q - 0*m + m - 80. Calculate the remainder when q is divided by 6.
5
Let j(d) = 56*d**2 + 2*d - 1. What is the remainder when j(1) is divided by 20?
17
Let j(t) = -20*t - 5. Let h(u) = u**3 - 2*u**2 - 2*u - 5. Let a be h(3). Calculate the remainder when j(a) is divided by 12.
11
Let d = -28 - -32. Calculate the remainder when 16 is divided by d.
0
Let g be ((-9)/(-6))/((-1)/(-2)). Suppose 208 = y + g*y. Calculate the remainder when y is divided by 135/(-6)*(-4)/5.
16
Let t = -12 + 5. Let i(r) = -r**2 - 8*r + 7. Calculate the remainder when 26 is divided by i(t).
12
Suppose -5*j - 39 = -4*s, 4*s + 4*j = -0*s + 48. Calculate the remainder when 43 is divided by s.
10
Let o = 5 + 3. What is the remainder when o is divided by 2?
0
Suppose 7*l - 36 = 3*l. Calculate the remainder when 32 is divided by l.
5
Suppose -q + 191 = 3*w - w, 0 = -5*w + q + 481. Calculate the remainder when w is divided by 25.
21
Suppose 0 = r + 2*m + 4, 3*m + 7 = 4*r - 10. Suppose -r*y + 7 + 17 = 0. Calculate the remainder when 21 is divided by y.
9
Let d(k) = k**2 - k + 3. Let n be d(0). Let q(j) = 2*j**2 - j - 4. What is the remainder when 41 is divided by q(n)?
8
Suppose v = 0, -d + 2*d + 2*v = 47. Calculate the remainder when d is divided by 16.
15
Suppose -4*p - 4*d = 0, p + 0*d = -3*d - 6. Suppose -v - 3*o = -44 + 8, p*v - 108 = -o. Calculate the remainder when v is divided by 19.
17
Let r(q) be the first derivative of -q**3/3 - 15*q**2/2 - 7*q + 1. What is the remainder when r(-7) is divided by 13?
10
Let c = 3 + 54. What is the remainder when c is divided by 15?
12
Let f = -5 + 8. Suppose f*s - 31 = 2*s. Calculate the remainder when s is divided by 16.
15
Let p = 122 - 119. Calculate the remainder when p is divided by 1.
0
Let x = 8 - -15. What is the remainder when x is divided by 8?
7
Suppose -s + 12 = 3*s. Suppose 0*p = p - 3, -2*i - s*p = -13. What is the remainder when i is divided by 3 + (6/(-2))/3?
0
Let o(k) = -5*k + 5. Let h be o(-7). Let m = h + -6. Calculate the remainder when m is divided by 12.
10
Let t(z) be the third derivative of z**4 + 5*z**3/3 + 2*z**2. Let p be t(8). What is the remainder when p/6 - 1/(-3) is divided by 12?
10
Let j(v) = -v + 3. Let d = 6 + -9. Let k = 12 - d. Calculate the remainder when k is divided by j(-5).
7
Let z(d) be the second derivative of -d**3/2 - 3*d**2/2 - d. What is the remainder when 5 is divided by z(-2)?
2
Let i = 85 - 56. Calculate the remainder when 83 is divided by i.
25
Let p(w) = 2*w**2 + 3*w - 10. What is the remainder when 46 is divided by p(-4)?
6
Let t = -5 + 7. Suppose n = 5*n - 4. Calculate the remainder when t is divided by n.
0
What is the remainder when 1/(-5) + (-4016)/(-80) is divided by 17?
16
Let s = -34 + 44. Calculate the remainder when 49 is divided by s.
9
Let d = -4 + 4. Suppose d*m - 4*m + 8 = 0. Suppose -m*f = -7*f + 125. Calculate the remainder when f is divided by 13.
12
Suppose -2*r - n + 72 = 0, 5*r + 6*n - 3*n - 180 = 0. What is the remainder when r is divided by 13?
10
Let v(i) be the second derivative of i**5/20 - i**4/2 + i**3 - 3*i**2/2 - 2*i. Let m be v(5). What is the remainder when (-132)/(-10) + m/(-10) is divided by 5?
3
Let s = 17 - 6. Calculate the remainder when 30 is divided by s.
8
Let l = 16 + -7. What is the remainder when 424/12 + -2*(-4)/(-24) is divided by l?
8
Let g(f) = -1 + 3*f**2 - f**2 + 3*f**2 - 2*f - 2*f**2. Calculate the remainder when 12 is divided by g(2).
5
What is the remainder when 65 is divided by -5 - (-4 + -1 - 14)?
9
Let c be 9*2/(-18)*-3. Let m be ((-1)/3 + -2)*c. Let p(s) = s**3 + 8*s**2 + 3*s - 6. What is the remainder when p(m) is divided by 8?
6
Let v(o) = o**3 - 3*o**2 + 6. Calculate the remainder when v(5) is divided by -38*((-6)/4)/3.
18
Suppose 5 = -u + 24. What is the remainder when 55 is divided by u?
17
Calculate the remainder when 26 is divided by -12*(15/4)/(-5).
8
Suppose 0 = 2*y - 7 - 13. Suppose 0*l - 42 = 2*l. Let w = l - -40. What is the remainder when w is divided by y?
9
Let t = -23 + 33. Let n = -10 + t. Suppose n = 4*l + l + 20, 2*p - l - 38 = 0. Calculate the remainder when 31 is divided by p.
14
What is the remainder when 156/5 - (-4)/5 is divided by 12?
8
Let o be (-144)/(-66) + 2/(-11). Suppose 18 = -3*d + 5*d. Suppose o*a = -a + d. What is the remainder when 4 is divided by a?
1
Let w(o) = o**3 - o + 77. Let z = -34 + 60. Calculate the remainder when w(0) is divided by z.
25
Let i = -53 + 87. What is the remainder when 904/14 + 21/49 is divided by i?
31
Let f = -5 - -18. Let t = f + -9. Calculate the remainder when t is divided by 3.
1
Suppose -4*b = -7*b + 6, 0 = 5*x - 4*b + 88. Let i = -11 - x. What is the remainder when i is divided by ((1 + 0)*3)/1?
2
Let l = 50 + -26. What is the remainder when l is divided by 9?
6
Let s(x) = -x**2 - 2*x + 1. Let h be s(-3). Let r(a) = -9*a**2 + 2. Let g be r(h). Let v = g + 47. What is the remainder when 37 is divided by v?
11
Suppose a - 23 = 8. Let b = -19 + a. Calculate the remainder when b is divided by 7.
5
Suppose -5*j = -3*j - 8. Suppose -v = j, -5*v = -4*f - 2*v + 116. Calculate the remainder when f is divided by 7.
5
Let q(i) = i**3 + 3*i**2 + 4*i + 4. Let b be q(-3). Let y = b - -12. Suppose 0 = -4*l - y + 108. What is the remainder when l is divided by 9?
8
Let l(m) = 4*m**2 + 5*m + 5. What is the remainder when l(-4) is divided by 26?
23
Suppose 0*m - 37 = -m + 5*q, -2*m - 3*q = -9. Calculate the remainder when 47 is divided by m.
11
Let n = 40 + -11. Calculate the remainder when 200 is divided by n.
26
Suppose -38 = -5*k + 82. Calculate the remainder when 69 is divided by k.
21
Let q(u) = u**3 + 7*u**2 + 8*u - 10. Let w be q(-7). Let i = w - -97. Calculate the remainder when i is divided by 17.
14
Suppose -3*j + 185 = 2*j. What is the remainder when j is divided by 10?
7
Suppose -s + 6 - 4 = 0. Calculate the remainder when ((-1)/1)/(s/(-58)) is divided by 8.
5
Let b = 1 + 2. Suppose 0 = b*f - 4*f. Suppose -3*l + 75 = -f. What is the remainder when l is divided by 9?
7
Suppose 0 = -3*y + 7 + 5. What is the remainder when y is divided by 16/9 - 2/(-9)?
0
Suppose 8 - 32 = -3*d. Calculate the remainder when 38 is divided by d.
6
Let x(u) = u**2. Let q be x(-2). Suppose 3*v - 2*t + 3*t - 22 = 0, -2*v + 38 = -q*t. Calculate the remainder when 24 is divided by v.
6
Let k = 22 + -8. Suppose 120 = -3*h + 6*h. What is the remainder when h is divided by k?
12
Let c be (16/2)/(-4 + 6). Suppose p = -c*j + 120, 0 = -2*j + 5*j + 2*p - 95. Calculate the remainder when 55 is divided by j.
26
Suppose r = -2, 2*d - r = 4*r + 16. Suppose -12 = -d*l + 42. What is the remainder when 4/l - 500/(-18) is divided by 15?
13
What is the remainder when 28 is divided by (1 + -5 - -5) + 4?
3
Let w(u) = -3*u + 6. Let l(h) = h**2 - 2*h - 7. What is the remainder when w(-3) is divided by l(5)?
7
Suppose 0 = 2*s - 3*w - 16 - 35, 69 = 2*s + 3*w. Let a = s + -18. Suppose -v - 4*v + 115 = 0. What is the remainder when v is divided by a?
11
Let r(j) = j**3 + j**2 + 34. Calculate the remainder when r(0) is divided by 9.
7
Let t = 23 - 9. Suppose -4*n = -17 - 7. Suppose 0 = -s - 1 + n. Calculate the remainder when t is divided