 20. Let b = -15 + 46. Calculate the remainder when b is divided by -6*t/(-8) - -2.
9
Let g be (-174)/(-54) - (-4)/(-18). Let a be (g/5)/((-12)/(-780)). Suppose -4*m + 5 + a = 0. What is the remainder when 43 is divided by m?
10
Let m(u) = 2*u**2 + 32*u - 9. Calculate the remainder when m(5) is divided by 6.
3
Suppose 21*n - 2*n = 247. Let p(h) = -h + 5. Let l be p(3). Suppose 4*t - 142 = -2*g, 0 = l*g + 3*g + 15. What is the remainder when t is divided by n?
11
Let n(x) = 3*x**2 + 3*x - 4. Let m = 1070 - 1061. Calculate the remainder when n(-4) is divided by m.
5
Let c(b) = 10*b**2 - 3*b**3 - 9 - 20*b + 45*b + 2*b**3 + 18. Calculate the remainder when c(12) is divided by 14.
7
Let i be 2/(3 - (-15)/(-6)). Suppose 3*r = -i*x + 357, 5*x - 3*r - 294 = 2*x. Calculate the remainder when x is divided by 12.
9
What is the remainder when -4 - (0 - (-5 - -178)) is divided by 17?
16
Suppose 6*t - 32 = 106. Suppose 5*r + 5*v - 40 = 0, -6*v = 4*r - 5*v - t. What is the remainder when 6/9 + (-38)/(-6) is divided by r?
2
Let t(q) = 3*q**2 + 45*q - 35. What is the remainder when 71 is divided by t(-16)?
6
Suppose -b = -5*u + 283, 2*u - 2*b = 4*u - 118. Suppose 8*n - 12 = 7*n. Let l = u - n. Calculate the remainder when l is divided by 16.
13
Let t be (-2 + (-5)/(-10))*18. Let r = t + 47. Suppose -65 + 21 = -4*v. Calculate the remainder when r is divided by v.
9
Suppose 3*a - 65 - 7 = 0. Calculate the remainder when 119 is divided by a.
23
Suppose 7*p = 3*p - 408. Let q = 118 + p. What is the remainder when 237 is divided by q?
13
Let h = 131 + -86. Suppose 2*q - 100 = -4*x, -3*x + 75 = -0*x + 2*q. Suppose -23*l - 24 = -x*l. Calculate the remainder when h is divided by l.
9
Suppose 429 = -3*d + 3*v, 8*d - v + 727 = 3*d. Let y = 161 + d. Calculate the remainder when 149 is divided by y.
14
Let z be 455/4 + (6 - 92/16). Let g = -80 + z. What is the remainder when g is divided by 18?
16
Let z = 57 + -62. Let d(w) = -w**3 - 2*w**2 + 5*w - 8. Calculate the remainder when 166 is divided by d(z).
40
Suppose 3*z + 2*z - 170 = 0. Suppose 4*v - 10 = 3*g + 222, -3*v - 4*g + 199 = 0. Let p = v - z. What is the remainder when 78 is divided by p?
24
Suppose -190 = -o - 4*o. Suppose -20 = -2*d - 2*d. Suppose 0 = -4*t + m + 55, -d*t + m + 51 = -17. Calculate the remainder when o is divided by t.
12
Let t(h) = -h**3 + 35*h**2 + 30*h + 224. Calculate the remainder when 66 is divided by t(36).
2
Let d(t) = t**2 + 13*t + 43. Calculate the remainder when 216 is divided by d(-15).
70
Let a(f) = -f**3 + 7*f**2 - 5*f - 1. Let j be a(6). Suppose -j*t + 85 = -y - 101, 4*t = 4*y + 152. Calculate the remainder when 145 is divided by t.
34
Suppose -3*l = -k - 218, 5*l = -0*k - 5*k + 370. Calculate the remainder when l is divided by 38.
35
Let n = -930 - -1157. Calculate the remainder when n is divided by 34.
23
Let b(k) = -9*k + 41. Calculate the remainder when 458 is divided by b(-4).
73
Suppose 1302*o = 1300*o + 168. Calculate the remainder when 412 is divided by o.
76
Let u(o) = o**3 + 19*o**2 + 17*o + 3. Let c be u(-18). Let w = 42 - c. Let v = 19 + -13. Calculate the remainder when w is divided by v.
3
Let t = -1771 + 1953. Calculate the remainder when 553 is divided by t.
7
Suppose -4*g + 4 = -5*q + q, 3*q - 1 = 4*g. Calculate the remainder when 17 is divided by 1 + 10/(-2 - g).
5
Suppose 2*i = f + 15, -39 + 109 = 5*i + 4*f. Let j(x) = 7*x + 4*x - 5*x + 4. What is the remainder when j(4) is divided by i?
8
Let r = -80 - -100. Let t(z) = z**2 - 18*z - 25. What is the remainder when 43 is divided by t(r)?
13
Let l(c) = 57*c - 142. Calculate the remainder when l(3) is divided by 4.
1
Suppose 75 = -u + 4*u. Calculate the remainder when (-98)/(-8)*(1 - -3) is divided by u.
24
Let u(s) be the first derivative of -3*s**4/4 - s**3/3 + 3*s**2 + 5*s - 5. Calculate the remainder when 24 is divided by u(-2).
11
Let o = -35 - -38. Suppose -k + 11 = -3*i, -k - o*i + 1 = -10. Calculate the remainder when 42 is divided by k.
9
Let z(q) = -9*q - 2. Suppose o = 5*o + 8. Let b be z(o). Suppose b + 23 = 3*c. What is the remainder when 24 is divided by c?
11
Let c(j) = 19*j + 7. Calculate the remainder when 789 is divided by c(0).
5
Suppose -2*v + v = g - 27, 2*v - 29 = 3*g. Let i = -11 - -46. What is the remainder when i is divided by v?
13
Suppose 0 = -5*g, 0 = -0*s - s + 5*g + 6. What is the remainder when 106 is divided by (s/(-10))/(5/(-150))?
16
Suppose 3*o + o + 154 = 5*q, 2*q - 5*o - 48 = 0. Calculate the remainder when q is divided by 7.
6
Suppose -411*d + 396*d = -300. Calculate the remainder when 1314 is divided by d.
14
Suppose -4*c + 485 = -3*m, 5*c = c + 2*m + 490. What is the remainder when c is divided by 75?
50
Suppose -5*s + 1254 = -3*s. What is the remainder when s is divided by 15?
12
Suppose 0 = 4*q - 3*f - 498, -12*q - 6*f + 1516 = -4*f. What is the remainder when 502 is divided by q?
124
Let r(l) = -l**2 - 4*l - 6. Let q be r(-4). Calculate the remainder when q/((-4)/(-68)*-2) is divided by 18.
15
Suppose 0 = -4*y - 3*i + 5358, -66*i = 5*y - 69*i - 6684. What is the remainder when y is divided by 61?
57
Let j(m) = m**2 - 5*m - 15. What is the remainder when 122 is divided by j(14)?
11
Suppose l - 10 = -5. Suppose 3*f + 2 = 4*r - 193, -l*f = 5. What is the remainder when 90 is divided by r?
42
Suppose -k + 115 = 3*j, -5*j + 86 = -3*j + 3*k. What is the remainder when j is divided by 27?
10
Suppose -12*a = -135 - 117. What is the remainder when 118 is divided by a?
13
Suppose -t - 2*v + 3 = -25, -3*t + 111 = -3*v. Suppose 0 = 6*w - w - 120. What is the remainder when t is divided by w?
10
Let i = 92 + -19. Let a(m) = 19*m**2. Let b(q) = 4*q - 15. Let z be b(4). What is the remainder when i is divided by a(z)?
16
Suppose -5*z + m + 169 = 0, 3*m + 82 = 2*z - m. Calculate the remainder when 3/(3 + (-6)/4) - -96 is divided by z.
32
Calculate the remainder when (1/2)/(1/22) is divided by 10/(5 + -3 + -1 - -1).
1
Suppose -139 = -4*u - 31. Suppose -13*k = 4*k - 187. Calculate the remainder when u is divided by k.
5
Let o = -802 + 1138. Suppose 5*f = 11*f - o. Calculate the remainder when f is divided by 3.
2
Let i be 3*((-24)/(-156) + (-115)/(-13)). Calculate the remainder when 23 is divided by i/(-2)*(-12)/18.
5
Suppose 447 = 7*d - 8*d. Calculate the remainder when 1/3 + 2/((-18)/d) is divided by 17.
16
Suppose -y - 6*y + 14 = 0. Suppose 28 = y*v - v. Suppose 34 = 3*i + p, -5*p + 0*p + 40 = 2*i. What is the remainder when v is divided by i?
8
Let n be (-3)/(-12) - 33/(-12). Suppose -51 = -b - n*p, -4*b + 6*b - 109 = p. Suppose -b = -2*u - 0. What is the remainder when u is divided by 7?
6
Let a(u) = -10*u + 277. What is the remainder when a(9) is divided by 9?
7
Let j(n) = n**3 - 11*n**2 + n - 13. Let u be j(11). What is the remainder when 1 - (-1)/(u/(-120)) is divided by 31?
30
What is the remainder when -2*2065/14*2/(-10) is divided by 7?
3
Suppose 0 = -3*s - 2*s + 20. Suppose 4*b - 4 = 24. Suppose 4*q - 51 + b = 0. What is the remainder when q is divided by s?
3
Let q = -5 + 8. Suppose t + 3*t = q*v - 136, 131 = 3*v + t. What is the remainder when 172 is divided by v?
40
Let s be 1*0/(2/(-1) + 0). Suppose -k + 5*k + 2*b = 60, 3*b - 12 = s. Calculate the remainder when k is divided by 5.
3
Suppose 5*s = -r - 3 - 13, -3*r - 4 = 4*s. Let i = 6 - r. Suppose i*v - 5*v + 9 = 0. What is the remainder when 7 is divided by v?
1
Let g(c) = -70*c + 110. Calculate the remainder when g(1) is divided by 85/4 + (-1)/4.
19
Let u = 42 + -25. Suppose -5*k = -4*g - 271, -18 = 5*k - 5*g - 283. What is the remainder when k is divided by u?
8
Let c(q) = -7*q - 3. Let j(o) = 1. Let v(k) = -c(k) - 6*j(k). What is the remainder when 48 is divided by v(4)?
23
Suppose 0*q - 38 = -2*q. Let r = 1078 - 967. Calculate the remainder when r is divided by q.
16
Let s(n) = -n - 2. Let v be s(-15). Let k(c) = 4*c - 30. What is the remainder when 174 is divided by k(v)?
20
Let j = 2 - -2. Suppose j*k - a + 5*a = 304, 2*k = -3*a + 148. Calculate the remainder when k is divided by 27.
26
Let z be (-2)/11 + (-383)/11. Let o(g) = 6*g - 9. Let b(u) = u - 1. Let l(w) = z*b(w) + 5*o(w). Calculate the remainder when l(-5) is divided by 8.
7
Let k be (-895)/6 + (0 - (-2)/12). Let w = -98 - k. What is the remainder when w i