10 = -12*x. Suppose 17 = i - 63. Calculate the remainder when 31 is divided by (i/25)/(x/5).
7
Let f = 140 + -77. Calculate the remainder when f is divided by 6.
3
Let y = -636 - -654. Calculate the remainder when 53 is divided by y.
17
What is the remainder when 1197/(-189)*3*-1 is divided by 12?
7
Let o(n) be the first derivative of -n**3/3 - 19*n**2/2 - 41*n + 9. What is the remainder when o(-12) is divided by 11?
10
Let c(a) = -2*a**2 - 18*a - 14. Let b be c(-8). Suppose 4*o + 5*p = 55, -2*o - 3 + 17 = -b*p. What is the remainder when 19 is divided by o?
9
Suppose -4*s + 258 = 2*j, -4*s - 4*j + 260 = -0*s. Calculate the remainder when s is divided by 2.
0
Suppose -7*k = -j - 4*k + 49, -196 = -4*j - 3*k. What is the remainder when j is divided by 8?
1
Suppose 44*r + 27 = 203. What is the remainder when 57 is divided by r?
1
Let b(c) = -c**3 - 9*c**2 + 8*c - 6. Let u(l) = -l - 16. Let p be u(-6). Calculate the remainder when 482/6 + (-44)/(-66) is divided by b(p).
11
Let j = -12 + 134. Suppose -j - 28 = -6*h. What is the remainder when h is divided by 7?
4
Let w(h) = h**2. Let c be w(-4). Suppose -3*k + 7*k - c = 0. What is the remainder when 8 + 1 + 2 + -5 is divided by k?
2
Let b(l) = l**3 + 7*l**2 + 9*l + 4. Calculate the remainder when 45 is divided by b(-4).
13
What is the remainder when 21 is divided by ((-56)/(-20))/(3/15)?
7
Suppose 2*w = -c + 16, -5*w + c + 0*c + 54 = 0. Suppose 0 = -12*d + 180 + 252. Calculate the remainder when d is divided by w.
6
Suppose -8*q + 3713 = 1153. Suppose o + 4*o - 4*z = q, -4*z - 256 = -4*o. What is the remainder when o is divided by 14?
8
Suppose 6*a - 59 - 163 = 0. What is the remainder when 129 is divided by a?
18
Let m be -21*7/(147/(-54)). Suppose 174 = 6*r + m. Calculate the remainder when r is divided by 12.
8
Let t = -108 - -142. Calculate the remainder when 914 is divided by t.
30
Suppose -197 = -8*n - 69. What is the remainder when 62 is divided by n?
14
Let d be (10/4)/(7/14). Let w = 3 + d. What is the remainder when w is divided by 2?
0
Suppose k = 5*w + 12, 0 = 5*k - 2*w + w + 12. Let g = -2 - k. What is the remainder when (-1)/(-1)*g*53 is divided by 18?
17
Let z(f) = -3*f**3 + 8*f**2 + 12*f + 16. Calculate the remainder when z(-3) is divided by 65.
3
Suppose 6*g - g - 40 = 0. Let s be 33/6 - 4/g. Suppose -3*r + 22 + s = 0. Calculate the remainder when 17 is divided by r.
8
Let o(b) = b**3 + 4*b**2 - 15*b - 5. What is the remainder when o(-6) is divided by 10?
3
What is the remainder when 22/(-10) - -3 - (-511)/5 is divided by 23?
11
Let g = -322 - -789. Let o = g + -231. Suppose 0 = -5*f + o + 74. What is the remainder when f is divided by 21?
20
Suppose -72*k - 19767 + 53895 = 0. What is the remainder when k is divided by 18?
6
Suppose -15 = -6*r + 15. Suppose 208 = r*b - b. What is the remainder when b is divided by 11?
8
Let s(h) = -h**3 - 7*h**2 + 9*h + 10. Let j be s(-8). Suppose 4*n - j*n - 30 = 0. What is the remainder when 44 is divided by n?
14
Suppose 0 = 3*f - 37*f + 3536. Calculate the remainder when f is divided by 30.
14
Let n be (-6)/(-2) - (-13)/13. Suppose 5*i = n*o - 60, o - 5*i = -2*o + 40. Calculate the remainder when (-3)/(-18) + (-2365)/(-30) is divided by o.
19
What is the remainder when (50/15)/((-3)/(-9)) is divided by (-8)/(-36) - (-25)/9?
1
Let o be ((-6)/5)/(5/(-25)). Suppose 2*s + o = 52. Calculate the remainder when s is divided by 13.
10
Let y be -1 + -2 + 4 + 8. Suppose 33 = y*v + 6. What is the remainder when v is divided by 1?
0
Calculate the remainder when -9*5/105 - (-1039)/7 is divided by 17.
12
Suppose 4*y + 2*a = 42 + 38, 5*y - a - 107 = 0. Calculate the remainder when 76 is divided by y.
13
Let o(t) = -91*t + 4. Let d be o(-1). Suppose 5*m + 5*s = d, -3*m + 2*m + 13 = -5*s. What is the remainder when 69 is divided by m?
15
Suppose -4*w - 14 = -2. What is the remainder when (w/6)/((-591)/294 + 2) is divided by 13?
10
Suppose -3*m - 1113 = -4*o, 2*o + m = 6*m + 539. What is the remainder when o is divided by 24?
18
Let p(g) = 2*g**3 - 2*g**2 - 4*g + 7. Let y = -4 - -21. Calculate the remainder when p(3) is divided by y.
14
What is the remainder when (-2197)/26*(0 + -2) - -1 is divided by 43?
41
Suppose 0 = 2*o - 13 + 3. Suppose o*k - 7*k = -52. Let q(c) = 2*c**2 - 2*c - 3. Calculate the remainder when k is divided by q(3).
8
Let i = 494 + -486. Calculate the remainder when 45 is divided by i.
5
Suppose -5*p - 3*u = 2*u + 85, -u - 80 = 4*p. Suppose 2*h + h - 42 = 0. Calculate the remainder when 7/p - (-237)/9 is divided by h.
12
Suppose -409 = -48*i - 366 + 533. Let j = 3 + 2. What is the remainder when i is divided by j?
2
Let y be -2*(105/6)/7. Let j = y - -33. Calculate the remainder when 111 is divided by j.
27
Suppose -3*s + 46 = -17. Let y = -2 + 8. Let q = y - 0. Calculate the remainder when s is divided by q.
3
Let j = 4686 + -2021. Let s = -7 - -28. What is the remainder when (2/(-5))/((-13)/j) is divided by s?
19
Suppose 2*i - 253 = -73. What is the remainder when i is divided by 31?
28
Suppose 31 = 3*x - 4*n, n - 8 = x - 20. Let k = 5 + -8. Let p = k - -12. What is the remainder when x is divided by p?
8
Let v = -559 - -829. Suppose 0 = c - 4*j - v, -c = -6*c - 5*j + 1400. Calculate the remainder when c is divided by 56.
54
Let b(t) = t**2 - 3*t - 7. Suppose 10 = 7*n - 2*n. Suppose -n*i - 5*q = -5 - 2, 3*i - 2*q - 20 = 0. What is the remainder when b(6) is divided by i?
5
Suppose 12*l - 7517 - 7435 = 0. Calculate the remainder when l is divided by 6.
4
Let g be (-2 - 1)*(-2)/6. Let o = -27 - -24. What is the remainder when 28 is divided by o*((-40)/12)/g?
8
Let n = -9 - -29. Suppose 553 = o + 6*o. Calculate the remainder when o is divided by n.
19
Let h = -1310 + 1407. What is the remainder when 284 is divided by h?
90
Suppose -5*n - 5*x + 20 = 0, n + x - 4 = 3*x. Suppose n*v + 1 = f + 30, v + 9 = -3*f. Calculate the remainder when -11*(-4 - -2 - -1) is divided by v.
5
Suppose r + 6 = -3*t, 4*r - 3*t = 28 - 97. Let p be r/1 - (-1 - -4). Let i = 26 + p. What is the remainder when 14 is divided by i?
6
Let n = 1454 - 974. Calculate the remainder when n is divided by 121.
117
Suppose 3*l - 12 = l. Let n(z) = -z - 5. Let o(q) = -2*q - 9. Let y(m) = -5*n(m) + 3*o(m). Calculate the remainder when y(-9) is divided by l.
1
Let z(w) = 2*w**2 + w. Suppose 21*j - 3420 = -39*j. Calculate the remainder when j is divided by z(3).
15
Let v(w) = -4*w - 5. Let z be 18/(-12) + (-11)/(-2). Let a = -8 + z. Calculate the remainder when 43 is divided by v(a).
10
Suppose -54 - 18 = 9*u. What is the remainder when (-494)/(-12) - 9/54 is divided by 13 + 3*u/12?
8
Let m = 1239 + -2438. Let i be 1/3 - m/(-33). Let s = i + 77. Calculate the remainder when s is divided by 11.
8
Suppose -4*q + 0*q = -52. Suppose -5*p - 21 - 3 = -6*p. What is the remainder when p is divided by q?
11
Suppose 9*o + 63 = 10*o. Calculate the remainder when o is divided by 2/2*(-85)/(-5).
12
Let w(j) = -j + 28. Calculate the remainder when w(1) is divided by 3.
0
Calculate the remainder when -121*-3*4/12 is divided by 23.
6
Let j = 748 + -642. Calculate the remainder when j is divided by 44.
18
Let g = 95 + -93. Suppose -4*d - g*r = -5*d + 29, 5*d = 4*r + 139. Calculate the remainder when 161 is divided by d.
26
Suppose 0 = 4*q + 2*c - 280, q + 4*c - 356 = -4*q. Suppose 11*w - 15*w = -q. What is the remainder when 80 is divided by w?
12
Let u(f) = -f**2 - 7*f - 6. Let n(c) = -c**2 + 23*c + 58. Let x be n(25). Suppose x*r = 6*r + 6. Calculate the remainder when u(-5) is divided by r.
1
Suppose -h = -6*u + 3*u + 17, -3*u - 3*h = -33. Suppose a + 22 = l + 4*l, 0 = -2*a - 4*l - 86. Let x = a - -52. Calculate the remainder when x is divided by u.
1
Let o = 524 + -136. Suppose -494 = -5*u - 2*a, -4*u + 2*a = -0*a - o. Calculate the remainder when u is divided by 33.
32
Calculate the remainder when 12 is divided by (-8)/(-2) - (2 + -5).
5
Let x(f) = f + 5. Let w be x(-6). Suppose 2*u = 95 - 39. Let g = u + w. Calculate the remainder when g is divided by 15.
12
Suppose 0*r - 4*r + 32 = 0. Let a = -18 - -30. What is the remainder when (-5)/((-10)/r) + (-41)/(-1) is divided by a?
9
Let k = 40 + -29. Let v(a) = 2*a - 13. Calculate the remainder when 26 is divided by v(k).
8
Suppose -4*b + 131 = 5