 + -7. What is the remainder when (-4)/i + ((-1612)/(-18) - -7) is divided by 70/4*(-8)/(-10)?
13
Suppose -11*h + 72 = h. Suppose -p - p = -12. Let j = p + -4. Calculate the remainder when h is divided by j.
0
Let s = 10 - 6. Suppose 2*n + n = -w + 20, -2*n + s*w = -4. Suppose 0 = 2*u - n*u + 4*v + 24, -5*u + 70 = 3*v. What is the remainder when u is divided by 3?
2
Suppose -36 = 2*k - 5*k. Let z be (-108)/(-24) + (-35)/(-14)*2/10. Let u = z + k. What is the remainder when 63 is divided by u?
12
Let v be (-7)/(-10)*(-20)/(-35)*20. Let h be (-7)/(-4)*(v + 4 - -4). Suppose -5*r = -17 - h. Calculate the remainder when 71 is divided by r.
8
What is the remainder when (-28)/168*(-3014 + -4) is divided by 37?
22
Calculate the remainder when 151 is divided by ((-5)/(-10))/(-3 - (-687)/228).
37
Let y = -46760 - -46765. What is the remainder when 2/(0 - 2/(-5)) is divided by y?
0
Let o(q) = q**3 - 20*q**2 - 17*q - 2. Let h be (-48)/(-5) + (-26)/(-65). What is the remainder when o(21) is divided by h/35 + 246/21?
10
Suppose -3*l + 8 = 5*x, 4*x + 72 - 108 = 5*l. Let o(s) = -s**3 - s**2 + 7*s + 32. Calculate the remainder when o(l) is divided by 6.
4
Suppose -4*k + 12 = 0, -k + 17 = -3*d + 5. Let r(v) = 1 + v**2 + 2*v**2 + v**2. Calculate the remainder when 71 is divided by r(d).
34
Suppose 0*a = a - 71. Let m(s) = 2*s**3 - 33*s - 4. Let h be m(-4). Suppose h = -6*t + a - 23. What is the remainder when 15 is divided by t?
7
Calculate the remainder when 104 is divided by -8*15/(-780) + -3*(-1322)/78.
2
Let k(b) be the third derivative of b**5/60 + 5*b**4/24 - 11*b**3/6 + 11*b**2. What is the remainder when 21 is divided by k(-7)?
0
Let n = -6 - 41. Let s = n - -68. Suppose -2*t - 236 = -3*l, -5*l + 400 = -5*t + 3*t. What is the remainder when l is divided by s?
19
Suppose -t = 3*i - 54, 0 = 5*t - t - 3*i - 261. Let p(x) = -76*x - 257. Calculate the remainder when p(-5) is divided by t.
60
Let d be 245/(20/(-4)) + (-2 - -2). Suppose 4*p - 2*s - 242 = -0*s, 112 = 2*p - 4*s. Let t = d + p. Calculate the remainder when t is divided by 4.
1
Let v = 111 + -105. Suppose -384 = 2*n - v*n. Suppose -606 = -9*a + n. Calculate the remainder when a is divided by 20.
18
Suppose -v = 7, -2*w - 4*v - 21*v = -1353. Calculate the remainder when w is divided by 85.
84
Let v(r) = r**2 + r + 8. Let h be v(0). Suppose -h*x = x - 90. Calculate the remainder when -1 + 15 - 1/(-1) is divided by x.
5
Let d(i) = 52*i**2 + 3*i + 2. Let q be d(3). Let u = q - 462. Calculate the remainder when 114 is divided by u.
12
Let b = 1632 - 324. Suppose b + 1020 = 3*s. What is the remainder when s is divided by 19?
16
Calculate the remainder when 741 is divided by 253/552*184 - (-1)/(-3).
69
Let s(r) = r**3 + 5*r**2 + 3*r - 4. Let f be s(4). Let y be 139/(-2) - (17 + 210/(-12)). Let m = y + f. What is the remainder when m is divided by 17?
15
Suppose -34*b = -7*b - 98999 - 26578. Calculate the remainder when b is divided by 99.
97
Calculate the remainder when (((-7676)/(-8))/19)/(2/4) is divided by 14.
3
Suppose 9*v - 6*v - 19*c - 210 = 0, v - 5*c - 66 = 0. Let f(q) = -q**3 + 6*q**2 + 2*q - 2. What is the remainder when v is divided by f(5)?
18
Calculate the remainder when 729 is divided by (5 + -1)*2 + 39 + 3 + -1.
43
Suppose 2*q - 29 = -a, q - 5*q - 59 = -a. Calculate the remainder when a is divided by 250/175*(-28)/(-5).
7
Let g = 334 + -266. Let z = 5 + 1. Suppose z*i - g = 10. Calculate the remainder when i is divided by 7.
6
Suppose -9*n + 603 = -q - 260, -4*q = 3*n - 331. Calculate the remainder when n is divided by (-2)/(-4) - 51/(-2).
19
Suppose -5*p + 9 = 2*n - 39, -3*n = -p + 13. Suppose 2*u = 9 + 5. Calculate the remainder when 48 is divided by -5*((-364)/p)/u.
22
Let y(f) = 5*f**2 - 61*f - 192. What is the remainder when y(15) is divided by 1?
0
What is the remainder when (-7 - (-168)/72)*(-79 + 1) is divided by (4 - 7)/6*-32?
12
Suppose 14*w = 59*w - 20*w - 9675. What is the remainder when 44888 is divided by w?
383
What is the remainder when 3915 is divided by (-6)/(-7) + (-142)/(-14)?
10
Suppose b + 1035 = 6*b. Calculate the remainder when b is divided by (2339/4678)/((-506)/(-252) - 2).
18
Suppose 3*y = 2*y + 63. Let m(o) = 2*o**2 + 46*o - 2. Let w be m(-23). What is the remainder when y is divided by 0 - (-3)/w - (-893)/38?
19
Let j = 231 + -229. Suppose -3*m - 5*n = -j*n - 315, 495 = 5*m - n. What is the remainder when m is divided by 35?
30
Let t = 1 + -15. Let a = t + 45. Let i = a - 23. Calculate the remainder when 18 is divided by i.
2
Suppose f + 5127 = -2*v, -5*v + 0*v = 2*f + 10249. Let r = -3241 - f. Suppose r = 14*s - 2*s. What is the remainder when s is divided by 54?
50
Suppose -81700 = -119*u - 261*u. Let n(x) = -58*x. What is the remainder when u is divided by n(-1)?
41
Suppose 4*a + 241 = u - 337, 6*a = 2*u - 1146. What is the remainder when u is divided by 19?
7
Suppose 167*g - 16446 - 29337 - 10830 = 0. Calculate the remainder when g is divided by 53.
21
Let o be (-539)/(-98) - (-3)/2. Calculate the remainder when (-26)/(-8) + o/(-28) - -130 is divided by 52.
29
Suppose 2*w - 5750 = 4*b, 2*w - 926*b + 923*b - 5752 = 0. What is the remainder when w is divided by 9?
8
Suppose 5*m - 4*v - 54 = 0, 6 = 117*m - 121*m - 5*v. Let y(o) = 3*o**2 + 4*o + 1. What is the remainder when y(-3) is divided by m?
4
Let h be 12/(8/28 - 45/(-504)). Let q(u) = -u**3 - 7*u**2 - 8*u - 5. What is the remainder when ((-340)/(-16))/(20/h) is divided by q(-6)?
6
Let x be -6 + (-2 + 12/18)*3. Let g(w) = 27*w**3 + w**2 + w - 1. What is the remainder when g(1) is divided by (-8)/x*(-140)/56 - -12?
8
Suppose 0 = -5*p - 2*y + 2037, 5*y = p + 3*y - 393. What is the remainder when p is divided by 98?
13
Let t = -17444 + 17710. What is the remainder when t is divided by 182?
84
Suppose 35*n - 3727 = 1243. Suppose -2*i + i + 2 = 0. Suppose -8 = -i*r - 5*u, -2*r + u = -3*r + 7. What is the remainder when n is divided by r?
7
Let t(c) = -19*c - 26. Suppose 0 = -3*y + 5*a + 267, 32*a = 3*y + 29*a - 279. What is the remainder when t(-12) is divided by y?
4
Suppose -4*s + 111 = 3*v - 201, -5*v = -2*s + 130. Suppose -j = -412 + 396. What is the remainder when s is divided by j?
11
Let c(j) = j**2 + 24*j + 89. Let k be c(-19). Calculate the remainder when 53 is divided by (-3 + k/2)/(10/(-45)).
26
Let j be -3*3/((-18)/4). Let l(t) = -2*t**3 - 18*t**2 + 9*t - 1. Calculate the remainder when l(-10) is divided by j/3 + 31/3.
10
Let m(j) = j**2 - 15*j - 54. Let a be m(18). Suppose 3*i + 5*p - 16 = 0, -i - p + 4 = -a. What is the remainder when 37 is divided by ((-28)/(-8))/(i/12)?
16
Suppose 56*j = 7*j + 81 + 703. What is the remainder when 983 is divided by j?
7
Suppose 7322 = 37*m - 5554. Let a = -298 + m. Calculate the remainder when a is divided by 42.
8
Let i(m) = -m**2 - 5*m + 112. What is the remainder when 197 - ((-10 - -5) + 8) is divided by i(7)?
26
Let w be -5*22*3/(-30). Suppose -1094 - 303 = -w*g. Calculate the remainder when g is divided by 45.
37
Let s be (-788)/36 + 4/(-36). Let f(g) = 6*g + 155. Let d(k) = 4*k**2 + 8*k + 7. Calculate the remainder when d(-5) is divided by f(s).
21
Let q = 5632 + -5566. Calculate the remainder when 862 is divided by q.
4
Suppose 53*b + 11183 = 80454. What is the remainder when b is divided by 1623/21 - (-8)/(-28)?
75
Let i(t) = 8*t - 11. Let o be 48/(-216) + (-29)/(-9). Suppose 3*b - 45 = o. What is the remainder when i(9) is divided by b?
13
Let t(w) = w**3 + 10*w**2 + 3*w - 21. Suppose 82*j + 16 = 80*j. Calculate the remainder when t(j) is divided by 23.
14
Suppose 5*u + 3 = -37. Let d be (-16)/(-64)*-14*8/(-14). Calculate the remainder when 47 is divided by 1/d + (-20)/u - -10.
8
Let b(v) = -v**3 + v**2 + 133. Let w be b(0). Let p = w - 102. Calculate the remainder when 53 is divided by p.
22
Suppose 0 = 5*l - 5, 0*o - 2*l = -3*o + 367. Let y = 186 + -154. Calculate the remainder when o + (-1)/(2/(-6)) is divided by y.
30
Let g(m) = -m**2 + 12*m - 30. Let o be g(7). Suppose 2*i - 33 = -3*a - 2*i, o*i - 15 = 0. What is the remainder when 14 is divided by a?
0
Let h(v) = 0*v - 10*v - 26 - 4 + v. Let n be h(-10). Suppose 0*p + n = 5*p. Calculate the remainder when 47 is divided by p.
11
Let k(u) = 2*u**3 - 23*u**2 + 100*u + 36. What is the remainder wh