 22. Calculate the remainder when 10 is divided by v.
1
Suppose c = 5*c - 8. Suppose -31 = -3*l + 4*p, -l + 2*p + 21 = -c*p. Suppose -11*g + 8 = -9*g. Calculate the remainder when l is divided by g.
1
Let t = -51 + 34. Let x = 25 + t. Suppose 4*b = 5*b - 29. What is the remainder when b is divided by x?
5
Let t = -5 + 9. Suppose t*v = 25 + 3. Suppose v*z - 5*z = 16. Calculate the remainder when 23 is divided by z.
7
Let r(p) = 7*p - 7. Let w be r(3). Let d = 6 - 4. Suppose -3*u + 64 = -n - w, 0 = -d*u - 3*n + 41. Calculate the remainder when u is divided by 9.
7
Suppose y - 81 = 23. What is the remainder when y is divided by 32?
8
Suppose -5*i + 2*i = -42. Suppose 3*j - i = 97. What is the remainder when 145 is divided by j?
34
Suppose i + 6 = 9. Suppose i = 5*w - 4*w. Suppose 30 = -x + w*x. Calculate the remainder when 43 is divided by x.
13
Suppose 0 = -3*l, -11*f = -10*f + l - 10. Calculate the remainder when 30 is divided by f.
0
Let g(d) = -51*d**3 - d**2 - 3*d - 2. Let b be g(-1). Suppose b - 1 = 5*y. Suppose 0 = -2*i + 85 + 29. Calculate the remainder when i is divided by y.
7
Let s = 708 + -653. What is the remainder when s is divided by 18?
1
Suppose -9*v + g + 361 = -7*v, 3*v - 539 = 4*g. What is the remainder when v is divided by 23?
20
Suppose -2*y = 3*y - 5. Suppose 4*w + y - 9 = 0. Suppose -w*s + 7*s - 405 = 0. What is the remainder when s is divided by 21?
18
Let j = 17 - 10. Suppose 0 = 6*x - 378 + 396. Let h = j + x. Calculate the remainder when 8 is divided by h.
0
Suppose 2*m - 5 = 13. Suppose -3*i + 7*i - q = 81, -2*q = i - m. What is the remainder when 71 is divided by i?
14
Let l(z) = -z**2 + 5*z + 5. Suppose -3*o - 5*p = -39, 11*o = 6*o - 5*p + 65. Calculate the remainder when o is divided by l(5).
3
Suppose -1739 = 28*t - 9243. What is the remainder when t is divided by 9?
7
Let t(g) = g**3 + 5*g**2 - 8*g - 1. What is the remainder when (4*87/(-30))/((-72)/180) is divided by t(-6)?
7
Let z = -391 + 403. Let w(d) = -d**3 - 9*d**2 - 7*d + 3. Let h be w(-8). Let a(y) = -y**2 - 5*y + 7. Calculate the remainder when z is divided by a(h).
5
Suppose 3*i - 2*f - 444 = 0, -155*i + 156*i + 4*f - 148 = 0. Calculate the remainder when 579 is divided by i.
135
Let o(q) = -7*q**3 - 3*q**2 - 5*q - 11. What is the remainder when o(-3) is divided by 84?
82
Let w be 2 - -1*10/1. Calculate the remainder when 52 is divided by (3 + 3/(-2))*w.
16
Let r = 86 - 78. Suppose 3*i + 18 = -0. What is the remainder when 2/i + (-88)/(-3) is divided by r?
5
Suppose 0 = a - 6 + 4. Suppose 0*d = a*d + 8, -155 = -5*s - 5*d. What is the remainder when (2/3)/((-6)/(-1251)) is divided by s?
34
Suppose -16*t + 3536 + 1520 = 0. What is the remainder when t is divided by 120?
76
Let p(i) = 13*i + 4. Let y = -121 + 123. Suppose a + 44 = 2*k, -a + 99 = 5*k + y*a. Calculate the remainder when p(6) is divided by k.
19
What is the remainder when 445 is divided by 152/(-3)*33/88*-2?
27
Suppose i - 6*i = -630. Let j = i + 322. What is the remainder when 79 is divided by ((-2)/4)/((-14)/j)?
15
What is the remainder when 90 is divided by 140/34 + (-24)/204?
2
Let a(k) = -4*k + 8. Suppose -14*m + 13*m = -7. Let l(q) = 2*q**2 - 15*q + 2. Let o be l(m). Calculate the remainder when a(o) is divided by 10.
8
Suppose 4*w + 111 = 119. Calculate the remainder when 7 is divided by w.
1
Let o = -55 - -91. Suppose 0 = -q - 74 + 180. Calculate the remainder when q is divided by o.
34
Let d be 35/((5 - 2)/(-3)). What is the remainder when ((-2)/(-6))/(1/273) is divided by 20/d - 495/(-21)?
22
Let b(g) = 16*g. Let h(x) = x**3 - 6*x**2 + 5*x + 15. What is the remainder when h(6) is divided by b(1)?
13
Suppose 0 = k - 5*b - 92, 14*k - 2*b = 11*k + 211. What is the remainder when k is divided by 34?
33
Suppose 4 + 10 = 7*n. Suppose -15 = -5*p - 0. Suppose -p*g = g - 8. Calculate the remainder when g is divided by n.
0
Suppose -l + 4*k - 12 = 0, 4*l = -l + k - 22. Let d be 0/(-2) + 4/l. What is the remainder when 14 + -17 - 16/d is divided by 4?
1
Suppose -2*x - 161 + 33 = 0. Calculate the remainder when (x - 2)*(-7)/14 is divided by 17.
16
Let d(m) = m**2 + 4*m - 85. Calculate the remainder when 183 is divided by d(8).
7
Let f(m) = -m**3 + 11*m**2 - 19*m + 16. What is the remainder when 27 is divided by f(9)?
6
Suppose -3*h + 4*o = -332, 0*h - 2*o = -2*h + 222. What is the remainder when h is divided by 59?
53
Let p(c) = 2*c**2 + c - 4. Suppose 4*l = 7 + 21. Calculate the remainder when (-1)/((-2)/(l + -3)) is divided by p(-2).
0
Let f(n) = 2*n + 2. Let b(k) = -3*k - 3. Let l(c) = -3*b(c) - 4*f(c). Let r be l(2). Calculate the remainder when 21 is divided by r + (-32)/(-12)*3.
10
Let s(q) = -q**3 + 10*q**2 + 13*q + 3. Calculate the remainder when s(11) is divided by 4.
1
Let f be 2/(-1) + 26/1. What is the remainder when ((-34)/4)/((-12)/f) is divided by 9?
8
Suppose -h = -36 - 1. Let s = h - 31. Calculate the remainder when s is divided by 2.
0
Let q = -442 - -487. Calculate the remainder when 75 is divided by q.
30
Let v be 4/(-12) - 46/(-3). Let g be v/30 - 106/(-4). Let p = g - 1. What is the remainder when 50 is divided by p?
24
Suppose -o + 8 - 4 = 0. Let r be (2 + 4)/((-6)/o). Calculate the remainder when 57 is divided by (-6)/9*90/r.
12
Suppose 0 = -4*l - 4*z + 4, -4*l + 16 = -2*z. Suppose -l*q + 3*c = -99, 2*q + 11 = -4*c + 47. Calculate the remainder when q is divided by 10.
8
Let d(w) = -13*w - 20 - 18*w**2 - 13*w**2 + 32*w**2. Calculate the remainder when d(15) is divided by 5.
0
Let z(c) = 4*c**2 - 14*c + 41. Suppose -4*y + 19 = -0*r - 5*r, -4*r - 10 = 2*y. Calculate the remainder when (r/2)/((-6)/272) is divided by z(3).
33
Let n(h) = -5*h**2 - 128*h - 23. Calculate the remainder when n(-23) is divided by 93.
90
Let t(q) = q**2 + 14*q. What is the remainder when (3/(-4))/((-1)/36) is divided by t(-15)?
12
Let u = -129 + 184. What is the remainder when 210 is divided by u?
45
Let o(f) = -f**2 - 9*f + 2. Let a be (12/10 + -1)/((-2)/(-70)). What is the remainder when -3 + 2 - -2 - (-413)/a is divided by o(-5)?
16
Let c(x) = -5*x**2 + 20*x - 5. What is the remainder when 46 is divided by c(3)?
6
Calculate the remainder when 8/20 + 9506/10 is divided by 106.
103
Let t(z) = 3*z**2 - 5*z + 4*z**2 - 2*z**2 - 4*z**2 + 9. Calculate the remainder when 22 is divided by t(4).
2
Let w be 4/10 + 28/5. Let l = 9 + w. Calculate the remainder when 29 is divided by l.
14
Let c be ((-1)/(-2) - 1) + (-7)/(-2). Suppose -2*z = 5*l + z - 821, 0 = -l - c*z + 157. Calculate the remainder when l is divided by 21.
19
Calculate the remainder when -9 - -4 - (9 - 69) is divided by 23.
9
Let v(i) = 5*i**2 - 2*i + 5. What is the remainder when v(2) is divided by (-2 - 9/(-6))*-12?
3
Let v = 1422 - 1396. Calculate the remainder when 68 is divided by v.
16
Let p be 1/(-4) - 15/(-12). Let y(s) be the first derivative of 6*s**3 - s + 22. Calculate the remainder when y(p) is divided by 9.
8
Let d be 1605/(-45) - 4/3. Let j = d + 41. Suppose -4*r - j = -5*r. What is the remainder when r is divided by 2?
0
Let v(q) = q. Let a be v(5). Suppose -a*t + 3*t + 16 = 0. Let i = -72 + 102. Calculate the remainder when i is divided by t.
6
Let l(w) = 7*w**2 - 4*w - 8. What is the remainder when l(4) is divided by 32?
24
Let x = -21 + 43. Suppose 5*v - 14*h + 18*h - 418 = 0, 4*h = 2*v - 184. What is the remainder when v is divided by x?
20
Calculate the remainder when 78 is divided by 46/299 + (-698)/(-26).
24
Let o = -230 + 237. Suppose -4*q = -3*v - 16, 0*v + 2*v = -5*q + 20. Calculate the remainder when o is divided by q.
3
Let c = 34 - 16. Suppose y + 8 - 23 = 5*d, -3*y = 0. What is the remainder when 1 + d/3 + 35 is divided by c?
17
Suppose -5*m + 642 = 5*i - 288, -945 = -5*i - 2*m. What is the remainder when i is divided by 8?
7
Suppose 84 = 2*k - a, 7*k = 2*k - 4*a + 184. Let p = -41 + k. Calculate the remainder when 46 is divided by (7 - (2 - p)) + 4.
6
Let t(w) = -w. Let r be t(-9). Suppose 4*c = 19 + r. Calculate the remainder when (-1)/(-6) - (-465)/18 is divided by c.
5
Let p = 155 + -71. Calculate the remainder when 244 is divided by p.
76
Calculate the remainder when 20/(-5)*(-81 + 0) is divided by 65.
64
Suppose -2*g + 3 = -g. Suppose 2*p + 88 = -0*h + 5*h, 5*p + 220 = -g*h. What is the remainder when