ided by 22.
10
Let q(p) = p**2 - 4*p + 4. Let b(t) = 155*t + 623. Calculate the remainder when q(4) is divided by b(-4).
1
Suppose 5*w + 5*d = 64 + 611, 4*d - 150 = -w. Suppose 120*u = w*u - 2090. Calculate the remainder when u is divided by 35.
34
Suppose 0 = -5*x - 5*k + 31 + 104, 3*x - 4*k = 74. Let u(p) = p**2 - 21*p - 88. Suppose -5*v + 868 = 38. Calculate the remainder when v is divided by u(x).
40
Suppose -5*m + 163 = 4*y, -2*y - m = -4*y + 71. Let r = 41 - y. Suppose 4*c + r*g = c + 23, -5*c = 5*g - 40. Calculate the remainder when 35 is divided by c.
8
Let y(n) = 2*n**3 - 46*n**2 + n + 177. Calculate the remainder when 4395 is divided by y(23).
195
Suppose 0 = 7*k - 24*k + 5303 + 2551. Calculate the remainder when k is divided by 91.
7
Let m(p) = 14*p - 323. Let f = 39 - -68. What is the remainder when f is divided by m(27)?
52
Calculate the remainder when 110 is divided by ((-12)/(-8)*-1)/((-36)/696).
23
Suppose 16 = -11*n + 7*n. Let m(w) = -w**3 - 4*w**2 - 3. Let h be m(n). What is the remainder when (-1)/(h/306)*(0 - -1) is divided by 15?
12
Let r(s) = -3*s + 10. Let l(q) = -8*q + 30. Let i(p) = 4*l(p) - 11*r(p). Let a be i(-4). What is the remainder when a/(-4)*484/(-33) is divided by 14?
8
Suppose 5*k = -5, 0 = 225*m - 221*m - 2*k + 2. Suppose 4*i + 5 = -5*b, 14 = -i - 3*i - 2*b. What is the remainder when 61 is divided by 0 + -1 + 90/(i/m)?
10
Calculate the remainder when ((-227825)/2275)/((-2)/28) is divided by 74.
70
Calculate the remainder when 119 is divided by (-658)/(-20) - (-241)/2410.
20
Let r(a) = 2*a**2 - 35*a + 203. Let h = -528 - -547. Calculate the remainder when r(h) is divided by 53.
48
Suppose 0 = d - 117 + 122. Let t(x) = -7 - 2 - x**2 + 3 - 9*x. What is the remainder when 39 is divided by t(d)?
11
Let w be (2 + 5)*(-52 + (-4 - -7)). Let c = w - -429. What is the remainder when c is divided by 29?
28
Let v be (19/114)/((-2)/(-12)). Let z be (8 - 10)/(v/(-1166)). What is the remainder when 59 is divided by 2/(-7) - z/(-77)?
29
Suppose 2*i - 65 = 3*w + 2*w, -2*i - w = -35. What is the remainder when 37 is divided by (68/(-3))/(i/(-30))?
3
Let q = 3836 - 3659. Calculate the remainder when q is divided by 7.
2
Suppose 0 = y + 3*u - 58, 78 = 3*y + 5*u - 96. Let n(z) = z**2 + 136. What is the remainder when n(0) is divided by y?
20
Suppose -4*h + 5*h - 488 = 0. Let k = h - 196. Calculate the remainder when k is divided by 21.
19
Suppose 84*d = -297 + 1221. Suppose 2*m + 12 - 138 = 0. Calculate the remainder when m is divided by d.
8
Suppose -u + 1 + 159 = -v, 2*u = 3*v + 320. Calculate the remainder when 2874 is divided by u.
154
Suppose 22*f + 2782 = 48*f. Calculate the remainder when f is divided by 4/(7/((-420)/(-8))).
17
Suppose 0 = -4*d - 3981 + 689. Let b = d - -854. What is the remainder when 122 is divided by b?
29
Let u = -19254 + 19647. What is the remainder when u is divided by 219?
174
Let h be -4 + 14 + 3 + 0. Let t = h - 12. What is the remainder when ((10 + -1)/(-18))/((-1)/2) is divided by t?
0
Let j = 7338 - 6193. Calculate the remainder when j is divided by 380.
5
Suppose -5*c - 26 = -4*o - 274, 5*o = -5*c + 275. Suppose -10*d + 5*d = -150. Suppose 0 = d*g - 2823 - 3327. Calculate the remainder when g is divided by c.
49
Let w(f) = 3*f + 3. Let u be w(6). Suppose u = 5*o - 2*o. What is the remainder when 18 is divided by o?
4
Suppose 3*k - 4*d - 758 = 0, 2*d - 550 = -3*k + 178. Let m = -242 + k. Let s(z) = z**2 - 6*z + 11. What is the remainder when s(6) is divided by m?
3
Suppose -3*h = 2*g + 70, -4*g = -4*h + 2*h + 156. Let x = g + 55. Suppose x - 71 = -2*p. What is the remainder when p is divided by 10?
7
Suppose -330*a = -324*a - 78. What is the remainder when 201 is divided by 8 + -4 + a + 0?
14
Let n(d) = -18*d + 1. Suppose 0 = 1315*r + 344*r - 147651. Calculate the remainder when r is divided by n(-1).
13
Let k(i) = 8*i - 55. Let g be (-29 - -13)*2/(-4). Suppose -q - 140 = -3*q. Calculate the remainder when q is divided by k(g).
7
Let s = -3507 + 3524. Let t(c) = 17*c - 6. Let k be t(5). Let z = -56 + k. What is the remainder when z is divided by s?
6
Let l(x) be the first derivative of -5*x**2 - 73*x - 14. Let o be l(-7). Calculate the remainder when 48 is divided by (10/(-7))/(4*o/168).
8
Let f = -4450 + 4603. Calculate the remainder when 299 is divided by f.
146
Let j(k) = -k**3 + k + 2. Let o be j(-1). Suppose -2*w + l = -63, o*w + 21*l = 23*l + 64. What is the remainder when w is divided by (-14 + 2)*-1*1?
7
Let z be (9/(-1))/(-3) + -3. Suppose 19*q - 184 - 215 = z. Calculate the remainder when q is divided by 2.
1
Let u(g) = -8*g**2 + 4*g - 2. Let q be u(1). Let y(n) = n + 20. What is the remainder when 208 is divided by y(q)?
12
Let t(d) = -49*d + 209. What is the remainder when 8/(-2) + 78 - 3 is divided by t(4)?
6
What is the remainder when 159 is divided by -9 + 9 - (-14 + -6)?
19
Suppose 5*s = -l - 4*l - 5, 0 = -3*s - 5*l + 1. Let c be 2/5 + 24/(-10). What is the remainder when s - c - (0 + -20) is divided by 7?
5
Let o = -169 - -143. Let c = o - -76. What is the remainder when 143 is divided by c?
43
Suppose -4*m - 2563 = -5*c, 32*m - 34*m + 3*c - 1281 = 0. Let i = m - -686. Calculate the remainder when (-1)/(-1)*(0 + 87) is divided by i.
43
Let w be (2 + -3 + -1)*-2. Let s(t) = 2*t**2 + 2*t - 21. Calculate the remainder when s(w) is divided by 2.
1
Suppose 251 = 9*c - 397. Let k = -36 - -68. Calculate the remainder when c is divided by k.
8
Suppose 11*j = 2392 - 654. Let t = j - 107. Let l(o) = o**3 + 6*o**2 + 5*o + 6. What is the remainder when t is divided by l(-4)?
15
Suppose 3 = 2*z - 2*a - 1, 3*a - 6 = z. Let b(o) = 17*o**2 + 12. Let c be b(6). Suppose 18*j = z*j + c. What is the remainder when j is divided by 20?
12
Suppose 2*a = u + 4*u + 148, 0 = -3*u. Suppose 145 = 3*d - a. What is the remainder when d is divided by 37?
36
Let y = -5583 - -6444. What is the remainder when 2594 is divided by y?
11
Suppose 3*v - 95 = -92, 5*x + 4*v = 289. Calculate the remainder when 448 is divided by x.
49
Suppose 419 - 326 = 3*l. What is the remainder when l is divided by 7?
3
Let o be 148/18 - (-100)/(-450). What is the remainder when 17589/132 - (-1)/(o/6) is divided by 48?
38
Suppose -255*u + 125*u + 125*u + 1390 = 0. What is the remainder when 849 is divided by u?
15
Let h = -5450 + 8903. What is the remainder when h is divided by 6?
3
Let m be 10/(-3)*(-10 - 2/(-2)). Let n = m - 32. Calculate the remainder when 92 is divided by 6*6/18*(-31)/n.
30
Let f(j) = -9*j - 53. Suppose 25 = -x + 14. Calculate the remainder when f(x) is divided by 7.
4
Let w(g) = g**3 + 2*g**2 - 1547. Let p be w(0). Let l be (p/26)/((-1)/2). Let o = -61 + l. Calculate the remainder when o is divided by 21.
16
Suppose -15*v - 15862 = -4837. Calculate the remainder when 47 is divided by v/(-126) + (-1)/(-6).
5
Suppose 2*p = 4*h + 194, 0 = -3*h - 794 + 812. Calculate the remainder when 2389 is divided by p.
100
Let s be 395 + ((-3)/3 - 2). Suppose 3*c - s = -c. Calculate the remainder when c is divided by 532/20 + (-3 - 72/(-30)).
20
Suppose m = 3*p + 56, 2*p + 44 = 3*m - m. Calculate the remainder when -6 + (-116)/(-18) + (-248)/(-9) is divided by p/(-3) - 4/(-12).
4
Calculate the remainder when 235 is divided by -6*6/(-108)*3.
0
Let x = -19162 - -19173. Calculate the remainder when 1438 is divided by x.
8
Suppose 3*g = -b + 10, 5*b + g = 16 + 34. What is the remainder when (-2 + 1 - b)/(-1) is divided by ((-2)/16)/((-7)/616) - 6?
1
Let z = 1 - -8. Suppose -2*y - z = -3*y. Suppose -4*o + 3*l = -87, l = 2*l + 1. What is the remainder when o is divided by y?
3
Let m(f) = f**3 + 5*f**2 + 2*f + 10. Let z be m(-5). Let w be ((-28)/(-5) + -2)*-5 - z. Let h = w + 45. Calculate the remainder when 133 is divided by h.
25
Suppose c - b - 26 + 2 = 0, 3*c + b = 80. Suppose -10*q + 13*q - 231 = 0. What is the remainder when q is divided by c?
25
Let m = -2578 + 3136. What is the remainder when m is divided by 4?
2
Let j(f) = -12*f - 106. Let g = 54 - 27. Suppose -q = -2*s - g - 54, 2*q + 3*s = 127. Calculate the remainder when q is divided by j(-12).
33
Let b(z) = z + 55. Calculate the remainder when 117 is divided by b(2).
3
Let h = -5062 + 5174. Suppose -49 = -4*w + 27. Calculate the remainder when h is divided by w.
1