
4
Let u = 32 - 19. Let q = -8 - -38. Let j = q - u. Calculate the remainder when j is divided by 10.
7
Suppose -5*v - 180 = 5*c - 535, -86 = -c + 2*v. Suppose c = 2*o - 3*h, 4*o + 2*h - 83 = 69. Calculate the remainder when o is divided by 10.
8
Suppose -6 = 4*g - 2. Let h be ((-237)/3*-1)/g. What is the remainder when h/(-6) + 5/(-30) is divided by 5?
3
Let h be (-1)/(0 - (-3)/(-6)). Suppose -s + 10 = 2*g, 0 = h*s + 2*g - 2 - 12. Calculate the remainder when 58/6 + 2/6 is divided by s.
2
Let z(w) = -w**3 + 12*w**2 - 7*w - 9. Let j = -20 + 31. Suppose 0 = -5*p - t + 64, 3*p + 2*t - 20 - 24 = 0. What is the remainder when z(j) is divided by p?
11
Suppose -n = -3*n + 414. Let h = n + -78. Suppose 5*u - 4*x = h, 0*x + 4*x + 29 = u. Calculate the remainder when u is divided by 13.
12
Calculate the remainder when 128 is divided by (-12)/(-8)*2 + 10.
11
Let u = 3 + 0. Suppose 10 = 2*i + u*i. Let d(r) = r + 2. What is the remainder when d(i) is divided by 2?
0
Suppose 10 = -k + 4*o, k = 6*o - o - 14. Let l(d) = -4 + 6 - 2*d + d**3 + 2 - 5*d**2. What is the remainder when l(k) is divided by 10?
8
Suppose 0*t - t = -2. Suppose 0 = -g + 3*j + 9, -g + 5*j + 23 = 2*g. Let q = 1 + g. Calculate the remainder when q is divided by t.
1
Suppose -2*o + 76 = 4*q, 6*q - 3*q - 71 = 2*o. Let a = q - 20. Let i(j) = j**3 + 5*j**2 + j + 7. Calculate the remainder when i(-5) is divided by a.
0
Let i = -84 - -96. Calculate the remainder when 14 is divided by i.
2
What is the remainder when (-68)/17*(-62)/8 is divided by 17?
14
Let d = 48 - 31. What is the remainder when 65/((-2)/1 - -3) is divided by d?
14
Let k be -1 - -12 - (1 + 2). Let h(b) = b**2 - 7*b - 4. Suppose 40 = 4*w - 0. What is the remainder when w is divided by h(k)?
2
Let t be (-3)/((-16)/14 - -1). Suppose -2*y = -3 - t. Let u = 10 + 13. Calculate the remainder when u is divided by y.
11
What is the remainder when ((-12)/2)/(4/(-20)) is divided by (-3 - -6)/(21/56)?
6
Let i(n) = 3*n - 14. Calculate the remainder when 36 is divided by i(11).
17
Let o(p) = -2*p + 4. Calculate the remainder when (117/(-2))/(5/(-10)) is divided by o(-13).
27
Suppose 0 = 3*h - 2*g - 111, 8*h + 5*g = 4*h + 171. Calculate the remainder when h is divided by 10.
9
Let k be (-56)/(-12) + (-2)/3. Let q = k - -14. Calculate the remainder when 34 is divided by q.
16
Suppose m - 5*v = 2*m - 66, 0 = -2*m - 5*v + 122. What is the remainder when m is divided by 30?
26
Let s(i) = 2*i**2 + 2*i - 1. What is the remainder when 8 is divided by s(-2)?
2
Calculate the remainder when 45 is divided by 15/75 - 228/(-10).
22
Suppose 0 = -4*a + 12, 2*m = 3*a + 2*a + 53. What is the remainder when m is divided by 7?
6
Let h(v) = -v**3 + 10*v**2 - 5*v - 3. Calculate the remainder when 71 is divided by h(9).
5
Let v(o) = -o**3 + 6*o**2 - 7*o + 12. Let a be v(5). Suppose -3*b = a*b - 15. What is the remainder when 6 is divided by b?
0
Let w(t) = t**3 - 10*t**2 + 2*t - 1. What is the remainder when 187 is divided by w(10)?
16
Suppose -4*q - 5*k = 5, 2*k = 5*q - 34 - 1. Calculate the remainder when 8 is divided by q.
3
Let x = -3 + 9. Let z(j) = j**3 + 3*j**2 - 2. Let f be z(-3). Let s = 9 - f. Calculate the remainder when s is divided by x.
5
Suppose 0 = 6*v - 188 - 148. Calculate the remainder when v is divided by 15.
11
Let v be (-14)/4*(-66)/77. Suppose 80 = -k + v*k. What is the remainder when k is divided by 22?
18
Let o(v) be the first derivative of v**3/3 + v**2/2 + 14*v - 3. Calculate the remainder when 40 is divided by o(0).
12
Suppose -5*u - 36 = -2*g, 5*u - 12 = -2*g + 4. Suppose 0 = -w + 4*w - 153. Calculate the remainder when w is divided by g.
12
Let r = 1 - 0. Suppose 6*y = 3*y + 39. Calculate the remainder when (-1)/1 + 39 - r is divided by y.
11
Suppose -3*a - 2*r + 386 = -r, -2*a - 4*r = -244. Calculate the remainder when a is divided by 22.
20
Let v = -22 - -26. Suppose -v*t + 3*t = -14. Calculate the remainder when 55 is divided by t.
13
Suppose -5*j - t = -0*t - 12, 4*j - 10 = -t. Suppose -3*h = -11 - 7. Calculate the remainder when j is divided by (-10)/(-15) + 8/h.
0
Suppose -10 = -5*w + 5. Suppose -4*a + w*a + 43 = 0. Suppose -j + q = -15, -28 = -5*j + q + a. Calculate the remainder when 27 is divided by j.
13
Let u be (-2)/(-7) + (-111)/21. Calculate the remainder when 5 is divided by ((-8)/(-5))/((-2)/u).
1
Let p = 7 - 1. Let s = 8 - p. Calculate the remainder when s is divided by 1.
0
Suppose -4*j = -4*h - 6 + 158, 190 = 5*h - 4*j. Calculate the remainder when h is divided by 23.
15
Let p = 78 + -37. Suppose 5*u - 6 = -4*d, -2*u - 4 = 5*d - 20. Suppose -43 = -3*c + d*t - 5*t, 2*c = -3*t + 31. What is the remainder when p is divided by c?
13
Let j(u) = -227*u**2 - 1. Let p be j(-1). Calculate the remainder when p/(-8) + (-3)/(-6) is divided by 15.
14
Let f(h) = h + 18. Let r(x) be the third derivative of -3*x**4/4 - x**3/6 + x**2. Calculate the remainder when r(-2) is divided by f(0).
17
Let u = 2 + -1. Let m = -8 - -7. Let q = 1 - m. Calculate the remainder when q is divided by u.
0
Let l(p) = -3*p - 10. Let v be l(-12). Let u = v + 7. Calculate the remainder when u is divided by 18.
15
Let z = -6 + 2. What is the remainder when 7/(z*4/(-32)) is divided by 5?
4
Suppose 2*v - v = -4*u, 5*v - 19 = -u. What is the remainder when v is divided by 3?
1
Let t(b) = 2*b**2 - 4*b + 2. Let l be t(2). Suppose 33 + 37 = 2*y + 5*p, -4*y + 92 = -l*p. Let m = y + 10. Calculate the remainder when m is divided by 9.
8
Let l(u) be the second derivative of u**4/3 - u**3/3 - u**2/2 + u. Let m = 40 - 41. What is the remainder when 19 is divided by l(m)?
4
Suppose -2*n + 3*x = -2*x - 104, 5*n + 3*x - 198 = 0. Let c be 3*(n/9)/2. What is the remainder when (c - 10)/((-3)/5) is divided by 2?
1
Let s(j) = 51*j**2 - 2*j + 1. What is the remainder when s(1) is divided by -2 + -1*(-21 + 5 + -3)?
16
Let g(x) = -37*x - 4. Suppose 165 - 525 = -10*w. Calculate the remainder when g(-3) is divided by w.
35
Suppose 102 = 5*r - 13. Let v = 47 + -27. Suppose -20 = -5*n + v. What is the remainder when r is divided by n?
7
Suppose 0 = 5*m + 5 - 15. Let w be (-3 + 3)/(0 - 2). Suppose -2*j = -8 - w. Calculate the remainder when j is divided by m.
0
Let m be 3/5 + (-104)/(-10). Suppose -4*d - a + 53 = 0, 5*a = 3*d - 0*a - m. What is the remainder when 33 is divided by d?
9
Let d = -49 - -54. What is the remainder when 18 is divided by d?
3
Let g be -3 + 4 + 1 + 0. Suppose i - 134 = -4*i - g*k, -132 = -5*i - k. Calculate the remainder when 50 is divided by i.
24
Let c = -5 - -8. What is the remainder when (-63)/(-15) + (-3)/15 is divided by c?
1
Let k(u) = -u**3 + 4*u**2 - 2*u + 4. Calculate the remainder when 75 is divided by k(3).
5
Suppose c - 20 = 3*r, -2*r - 76 = -5*c + r. Calculate the remainder when 20 is divided by c.
6
Suppose 5*n - 5 = 5*j, 0 = -4*n + 16. Let k be 6/(0 + (2 - 0)). Suppose k*f - 17 - 4 = 0. Calculate the remainder when f is divided by j.
1
Suppose 2*d + z - 8 = -0*d, 5*z = -5*d + 25. Suppose -2 = d*q + 5*h - 42, 5*q = 4*h + 79. Calculate the remainder when q is divided by 8.
7
Suppose 1 - 4 = 3*z. Let p = z + 10. Let d = 1 + p. What is the remainder when d is divided by 4?
2
Suppose 0 = 3*s + 6, -2*y - 6*s + 24 = -2*s. Let w = 132 + -87. Calculate the remainder when w is divided by y.
13
Let h be ((-4)/(-8))/(1/28). Suppose 0 = 11*a - 6*a - 695. Suppose a - h = 5*l. What is the remainder when l is divided by 13?
12
Suppose 4*j - 21 = t - 4*t, t + 3*j - 12 = 0. Calculate the remainder when 6 is divided by t.
0
Let j(n) be the second derivative of 5*n**4/3 + n**3/6 + n**2/2 + 4*n. What is the remainder when j(-1) is divided by 7?
6
Let u(t) be the second derivative of t**4/12 - t**3/6 - 3*t**2 - 2*t. Let j be u(-5). Suppose -o = o - j. What is the remainder when 34 is divided by o?
10
Let d = -89 - -163. Suppose 3*h - 104 = -b + 35, -4*b = -2*h + d. Calculate the remainder when h is divided by 23.
22
Let b be 4*(-1 + 21/12). Suppose -j = b*j - 20. Suppose 2*o - 4*l - 33 - 17 = 0, 0 = o + j*l - 39. Calculate the remainder when o is divided by 16.
13
Let r be (-12)/3 + (-1 - 2). Let l = r + 10. Suppose 0 = l*v - 18 - 33. What is the remainder when v is divided by 5?
2
What is the remainder when 51 is divided by 6 + -9 - 1*-21?
15
Suppose m - 3*