q + 15. Let a = 9 - g. Calculate the remainder when 15 is divided by a.
3
Let w(b) = 56*b - 16. Let d = 6 + 0. Calculate the remainder when w(1) is divided by d.
4
Suppose 5*t - 5*o = 23 + 77, -4*o = -12. Let d be 3 - (2 + 4) - -7. Suppose d*n = n - 5*x + 26, -5*x = 10. What is the remainder when t is divided by n?
11
Suppose -223 + 48 = -5*g. What is the remainder when g is divided by 18?
17
Let d = 4 + 5. Suppose 0 = -4*j + 1 - 137. Let n = j + 50. Calculate the remainder when n is divided by d.
7
Let k(b) = -b**2 + 5*b - 6. Let p be k(4). Let o = p + -18. Calculate the remainder when 46 is divided by (16/o)/((-3)/90).
22
Let l(x) = x - 1. Let m(i) = -10*i + 6. Let r(p) = 6*l(p) - m(p). Calculate the remainder when r(4) is divided by 9.
7
Let x(h) = -2*h + h + 11 - 2. Calculate the remainder when 37 is divided by x(-4).
11
Suppose 0 = 7*y - 657 + 20. Suppose -33 = -4*k + y. Calculate the remainder when 121 is divided by k.
28
Suppose -4*j + 26 = 2*n + 6, -j + n + 5 = 0. Suppose 8*k = 19 + j. What is the remainder when 3 is divided by k?
0
Suppose -47 = -4*g + 2*g + d, -32 = -2*g + 4*d. Suppose -7 = r + 4*s - g, -3*r + 4*s = -9. Calculate the remainder when 14 - 6/(4 + -2) is divided by r.
4
Let c(v) = -22*v + 111. What is the remainder when 34 is divided by c(4)?
11
Let i = 10 + -16. Let x(s) = -s**3 - 8*s**2 - 12*s + 4. Let n be x(i). What is the remainder when 45 is divided by (n/(-3))/((-1)/18)?
21
Suppose 12 = -4*f, 4*w + 2*f + 12 = 170. Calculate the remainder when 159 is divided by w.
36
Suppose 14*c = 15*c - 259. What is the remainder when c is divided by 10?
9
Suppose -2*i + 0*i - 2*h = 0, i = 5*h + 18. Let v(t) = i*t + 2*t - 1 + 13*t + 0. Calculate the remainder when v(3) is divided by 11.
9
Let h be -1*((-222)/(-2))/(-3). Let d = h + -26. Suppose 5*t = 4*t + 19. What is the remainder when t is divided by d?
8
Calculate the remainder when (-3)/(-1) - (0 + -6 + -22) is divided by 11.
9
Suppose -3*b = -2*n + 172, -8*b + 10 = -3*b. Calculate the remainder when 533 is divided by n.
88
Let a = -242 + 272. What is the remainder when 145 is divided by a?
25
Suppose -21 = t - 2*t - 3*l, l + 7 = 2*t. Let y be 70/9 - (2 - 20/9). Suppose y*u = t*u + 54. Calculate the remainder when 107 is divided by u.
26
Let x(y) = 87*y**3 - 2*y**2 - 3*y + 3. Calculate the remainder when x(1) is divided by 19.
9
Suppose -d + 7 = 5*k, -2*d + 95 = 3*d - 5*k. Let q(j) = j**3 + 11*j**2 + 3. Let h be q(-11). Let y = 2 + h. Calculate the remainder when d is divided by y.
2
Let m(g) = -14*g - 89. Let x be m(-10). Let c be 6/5*(-20)/(-6). Suppose c*r - 125 = x. Calculate the remainder when r is divided by 15.
14
Let h = -19 - -26. Let p = 13 - h. Suppose 0 = -j + p - 4. What is the remainder when 4 is divided by j?
0
Let k(i) = -19*i - 3. Let u be k(8). Let z be (-2)/4 + u/2. Let t = -28 - z. What is the remainder when t is divided by 17?
16
Let x(k) = -9*k + 515. Calculate the remainder when x(-8) is divided by 66.
59
Let k = 165 + -99. Let t = 116 - k. Calculate the remainder when t is divided by 13.
11
Let f = -46 + 51. Let z(q) = q**2 + q - 1. Calculate the remainder when z(2) is divided by f.
0
Suppose -5*u = -7 - 13. Suppose u = -3*c + 151. Suppose -42 = -v + 5*r, v - 5*v + 73 = -r. What is the remainder when c is divided by v?
15
Suppose x - 3*u = 3, 0 = -3*x - u - u + 9. Suppose g + x*g - 28 = 0. Let r(b) = -b**2 - 24*b + 5. What is the remainder when g is divided by r(-24)?
2
Let d be -90*((-2)/(-2))/(4/(-2)). Let m = d - 27. What is the remainder when m is divided by 7?
4
Let g(d) = d - 1. Let y(t) = -t**3 + t**2 - 3*t + 4. Let k(x) = -4*g(x) - y(x). What is the remainder when 59 is divided by k(3)?
14
Let v be 1*7/(14/4). Calculate the remainder when (-3)/v*-106*1 is divided by 20.
19
Suppose -30 = 3*b - 90. Suppose 5*t - 3*t = -b. Calculate the remainder when ((-6)/t)/((-6)/(-630)) is divided by 13.
11
Let c = -171 - -191. Calculate the remainder when c is divided by 5.
0
Calculate the remainder when 160 is divided by -2 + (39 - 2) - (-4 + 10).
15
Let h(u) = u**2 - 11*u - 18. Let w(l) = -9*l + 5. Let m be w(-1). What is the remainder when h(m) is divided by 5?
4
Let r(u) = 2*u**2 - 3*u + 11. Let m = 6 + -1. Suppose m*v - 45 = -3*t, -2*v - 3 = 3. What is the remainder when t is divided by r(0)?
9
Let n(m) = 6*m - 46. Calculate the remainder when 910 is divided by n(14).
36
Let q be (-1 + -29)*(-2)/6. Let m be 42/10 - 2/q. Suppose 12 = 3*p - 3*i, m*i + 19 = -2*p + 7*p. Calculate the remainder when 10 is divided by p.
1
Suppose 3*n - 5*q = -q + 73, 93 = 4*n - q. Let x = n + -19. Calculate the remainder when 2/(-8) - (-21)/4 is divided by x.
1
Suppose -g - 9 = 2*g. Let u = -105 + 119. What is the remainder when u is divided by 11/2 + g/6?
4
Let p(k) = -9*k + 41. What is the remainder when 109 is divided by p(3)?
11
Let i(g) = g**3 + 6*g**2 + 3*g - 3. Let f be i(-5). Suppose 0 = r - f - 6. What is the remainder when (16/10)/((-5)/(-75)) is divided by r?
11
Suppose d - 4 = -3. What is the remainder when d*(26 + -1) - (-7 - -4) is divided by 15?
13
Let v(d) = 8*d + 13. Calculate the remainder when v(16) is divided by 37.
30
Let z = -18 - -23. Suppose -z*i = -10 - 20. Suppose -3*c - 3*u = -i, 2*c - 7 = u - 0. Calculate the remainder when c is divided by 1.
0
Suppose 0 = -4*q + 99*y - 96*y + 130, 162 = 5*q - 4*y. What is the remainder when q is divided by 4?
2
Let f = -1 + 36. Let o = f + -17. Suppose 0 = -23*h + o*h + 205. What is the remainder when h is divided by 22?
19
Suppose -23*j + 77 + 38 = 0. Calculate the remainder when 522 is divided by j.
2
Let y = 22 - 19. Suppose -51 = -3*c - y*q - 3, -3*q = -3*c + 18. Let i(f) = f**3 - 5*f**2 - 9*f - 6. Calculate the remainder when i(7) is divided by c.
7
Let s(m) = 22*m**2 - 9. Let v be s(3). Suppose v - 44 = 5*l. Calculate the remainder when l is divided by 10.
9
What is the remainder when 43 is divided by (8 - 2)*(19/3 + 0)?
5
Suppose 40 + 0 = -4*z. Let w be z + 7 + (-22)/2. Let c(h) = h**2 + 10*h + 2. What is the remainder when c(w) is divided by 16?
10
Suppose 180 = -7*a + 25*a. Calculate the remainder when 97 is divided by a.
7
Suppose -5*n + 2*l + 1154 - 404 = 0, 0 = 5*n - 3*l - 750. What is the remainder when n is divided by 22?
18
Let d(i) = i**3 - 5*i**2 - 6*i + 4. Suppose -8 = -2*u + 10. Let r = -4 + u. What is the remainder when r is divided by d(6)?
1
Suppose -2*x + h = -174, 28*x - 25*x - 2*h = 262. What is the remainder when x is divided by 18?
14
What is the remainder when 4 - (16/(-6))/(42/6300) is divided by 102?
98
Let y(h) = h**2 + 7*h - 16. Let p be y(-14). Suppose 198 + p = 2*q. Calculate the remainder when q is divided by 18.
14
Let d = 523 + -268. What is the remainder when d is divided by 65?
60
Calculate the remainder when 179*(-1 - -2) - -7 is divided by 18.
6
Let v(z) be the third derivative of -z**4/12 + 9*z**3/2 + 28*z**2. What is the remainder when v(-6) is divided by 12?
3
Suppose -2*f + 688 = 5*k + 2*f, -4*k = -3*f - 569. Suppose 2*y = -3*y + k. Calculate the remainder when 69 is divided by 24/y*1*21.
15
Suppose 0 = 2*i - 43 + 33. Calculate the remainder when 37 is divided by -4*54/(-24) - i.
1
Let r(q) = q**2 + q. Calculate the remainder when 5/(-40) + (-738)/(-16) is divided by r(-4).
10
Calculate the remainder when 1869/4 + (-121)/484 is divided by 36.
35
Let k(d) = 2*d**2 + 55*d + 41. What is the remainder when 273 is divided by k(-28)?
66
Let i = 322 + -270. What is the remainder when 246 is divided by i?
38
Let k = -8 - -15. Let v = -12 + k. Calculate the remainder when ((-16)/(-10))/(v/(-25)) is divided by 5.
3
Let p(r) = r**3 - 9*r**2 + 8*r + 8. Let l be p(8). What is the remainder when 12 is divided by (l - 3)*(0 - -1)?
2
Suppose -4*c = 2*w - 203 - 119, -w = c - 82. What is the remainder when c is divided by 17?
11
Let h(n) = n**2 + 10*n - 16. Let b be h(-12). Let u = b + -11. Calculate the remainder when 17 is divided by (5 + u)*(-21)/(-6).
3
Let z(l) = -3*l**3 - 4*l**2 - 6*l. Let r(n) = -5*n**3 - 7*n**2 - 11*n. Let j(w) = -4*r(w) + 7*z(w). What is the remainder when 60 is divided by j(-3)?
18
Let z = 14 + -4. Let r be (-28)/(-35)*5/2. Suppose 1 = -j + r, -5*j + 34 = o. Calculate the remainder when o is divided by z.
9
Let d = 21 + -21. Suppose 26 = -d*w + w. What is t