4. What is the remainder when 34 is divided by (5 + -9)/1*g/(-2)?
4
Let r(n) = 154*n**2 + 151*n + 153. Calculate the remainder when r(-1) is divided by 52.
0
Suppose 3*x - 2*x + 12 = 3*j, j - 4 = x. Suppose -j*m + 135 = 3*v - m, -2*m = 0. Calculate the remainder when v is divided by 25.
20
Let y(h) be the first derivative of 2*h**3/3 - 17*h**2 + 28*h - 2. Let r = 2673 - 2655. Calculate the remainder when y(r) is divided by 17.
13
Let v = 40 + -33. Suppose -2*g = v*g. Suppose g = -s + 4 - 1. Calculate the remainder when 10 is divided by s.
1
Let q(n) = -10*n - 54. Let k be q(5). What is the remainder when 90 is divided by (-1)/(28/k) + 2/7?
2
Suppose 947*z - 1008*z - 61 = -1586. Calculate the remainder when 69 is divided by z.
19
Suppose 0 = 2*p + f - 50 - 88, -216 = -3*p - 3*f. Calculate the remainder when p is divided by 5/(-30)*3 + (-95)/(-2).
19
Let w(s) = 67*s + 6646. Calculate the remainder when 987 is divided by w(-98).
27
Let h(k) = 33*k - 13. Let v be h(1). Suppose 8*b + 4*s = 13*b - v, 2*b + 2*s - 8 = 0. Calculate the remainder when 14 is divided by b.
2
Suppose z + 5*v - 572 = 0, 241*z + v - 1786 = 238*z. Calculate the remainder when z is divided by 57.
27
Let b be 50/20 - 78/12. What is the remainder when 201 is divided by (51/(-2))/(3/b)?
31
Let v(t) = 2*t**3 - 6*t**2 + 10*t + 4. Let c be v(5). Suppose 2*f + l = -2*f + c, -3*l + 196 = 5*f. Calculate the remainder when 148 is divided by f.
34
Let g(o) = 10*o**2 - 10*o - 4. Let n = 187 - 176. What is the remainder when g(5) is divided by n?
9
Suppose 9*s - 10*s = -2*o - 53, 0 = -2*s - 2*o + 82. What is the remainder when 224 is divided by s?
44
Let a(i) = 2*i**3 + 28*i**2 + 25*i + 21. Calculate the remainder when 735 is divided by a(-12).
141
Calculate the remainder when 14/217 - (-8119422)/558 is divided by 19.
16
Suppose 3812 = 2*w - 2*v, 5*v = -5*w + v + 9503. Calculate the remainder when w is divided by 90.
13
Suppose -5 = 4*h + 7. Let f(l) = -l**3 - 6*l**2 + 4*l - 37. What is the remainder when f(-8) is divided by h - (-19 - -2) - -2?
11
Let c(h) = h**3 - h**2 - 129*h - 26. Let v be c(12). Suppose -2 = -l + v. What is the remainder when 129 is divided by l?
9
Let r(y) = -896*y - 31. What is the remainder when r(-2) is divided by 98?
95
Suppose 41*w = 43*w + c - 102, 3*w - c = 163. Calculate the remainder when 764 is divided by w.
22
Let c be (96 + 6)*(20/(-8) + 4). Suppose -3*l = 6*l - c. What is the remainder when l is divided by 5?
2
What is the remainder when ((-2)/4)/((-6)/552) is divided by 47/3 + (-63)/(-27) + -1?
12
Let b = 9022 - 8915. What is the remainder when 959 is divided by b?
103
Let d(v) = -2*v + 22. Let z be d(10). Suppose -8 + z = -3*r. Suppose r*n - 70 - 26 = 0. Calculate the remainder when n is divided by 18.
12
Suppose -10 = 3*d + 4*f - 89, 4*d = -f + 114. Calculate the remainder when 573 is divided by d.
22
Suppose -5*t - 171 = -586. Let h be (-546)/(-22) + (-8)/(-44). Let p = 53 - h. Calculate the remainder when t is divided by p.
27
Let n(m) = 3*m**3 + 5*m**2 - 8*m - 5. Let c be n(5). Suppose -3*y - 5*i + 279 = 0, -5*y + c = 7*i - 2*i. Calculate the remainder when y is divided by 13.
10
Calculate the remainder when 6/(-5) - (-228882)/1110 is divided by 67.
4
Let m = -277042 - -277060. Let d be (4 + -1)*(-10)/(-6). Suppose -4*n = 3*s - 32, -d + 23 = 2*s + 2*n. What is the remainder when m is divided by s?
2
Let v(r) = -r**3 + 122*r**2 + 258*r - 402. Calculate the remainder when v(124) is divided by 119.
5
Let m be (-3)/(-3 + (-126)/(-49)). Suppose m*c + 119 = 203. What is the remainder when 239 is divided by c?
11
Suppose 31 = 6*w + 43. What is the remainder when 196 is divided by (-11 - -9)/(w*(-2)/(-22))?
9
What is the remainder when 475 + (-18)/(2 + 7) is divided by 14?
11
Suppose -2*o = -5*v - 470, -4*o + 188 = -0*v - 2*v. Let h = 110 + v. Calculate the remainder when 79 is divided by h.
15
Suppose 31*k + 976 = 39*k. Suppose 4*t + 520 = 4*w, 5*t + k + 141 = 2*w. Calculate the remainder when w is divided by 11.
8
Let g = -180 - -178. What is the remainder when 78 is divided by (-11)/g*(-72)/(-99)?
2
Let y = -47 - -39. Let i be 2/(-8) + (-26)/y. Suppose 0 = i*f - 0*f - 12, 2*u - 2*f - 10 = 0. Calculate the remainder when 16 is divided by u.
7
Let q be 2507/115 - (27/15 - 2). Let o(c) = c**3 - 25*c**2 + 64*c + 75. What is the remainder when 44 is divided by o(q)?
13
Suppose -51 + 18 = 3*v. Let x(t) = -394*t + 13817. What is the remainder when x(35) is divided by 0 - 2 - (v - -1)?
3
Let p = -9794 + 9987. Calculate the remainder when 683 is divided by p.
104
Calculate the remainder when -13*2*(-25)/(300/24) is divided by ((-2)/3)/((-8)/228).
14
Let m(z) = -500*z + 7733. Calculate the remainder when m(12) is divided by 37.
31
Suppose -1058 = 23*x - 24334. Let m = -804 + x. Calculate the remainder when m is divided by 21.
19
Suppose 3*j + h - 72 = 0, 3*h = 4*h. Let d(l) = -10*l**2 - l**3 + 14*l**2 - 10 - 11*l**2 - 13*l. Calculate the remainder when j is divided by d(-5).
4
Suppose 929 = x + 121*x - 620 - 769. Calculate the remainder when (-27 - -1)*(-51)/6 is divided by x.
12
Suppose 0 = -2*o - 4*j - 64, -5*o - 5*j = -o + 119. Let l = -24 - o. Suppose l*c + 60 = 8*c. What is the remainder when 34 is divided by c?
4
What is the remainder when 1507 is divided by ((-160)/(-400))/((-10)/(-25) + (-53)/135)?
49
Suppose 5*j + 9*j = -3*j + 816. What is the remainder when 9309 is divided by j?
45
Let y be 629 - 0 - 44/11 - -5. Calculate the remainder when ((-351)/2)/((y/(-36))/35) is divided by 44.
43
Suppose -5*l - 20 = 0, 0 = 2*b + l + 4753 - 5305. What is the remainder when 567 is divided by b?
11
Suppose 10*p = 13*p - 3. Suppose 2*l = -i, 0*l = -4*l + 4*i + 12. What is the remainder when l is divided by p?
0
Let g(s) = -14*s**2 - 11*s + 56. Let c(u) = -3*u**2 - 2*u + 11. Let w(f) = -11*c(f) + 2*g(f). What is the remainder when 286 is divided by w(3)?
34
Let z = -205 - -207. Let x(p) = p**3 + p**2 - 8*p + 17. What is the remainder when 64 is divided by x(z)?
12
Calculate the remainder when (-10701 - (-9 - -24))*(0 + (-4)/12) is divided by 31.
7
Let g = -6 + 28. Suppose 0 = -0*r + r + 2*o + g, -r - 5*o = 37. Let s = 18 + r. Calculate the remainder when s is divided by 6.
0
Let n(w) = 2*w**3 - 44*w**2 + 18*w - 235. Calculate the remainder when 3216 is divided by n(22).
157
Let r(g) = 575*g**2 + 4*g + 13. Let h be r(-2). Suppose -3*p - 471 + h = 4*i, 0 = -p - 3*i + 603. Calculate the remainder when p is divided by 69.
66
Let u(y) = y**3 + 8*y**2 + 11*y + 22. Let o be u(-7). Let b(l) = -2*l + 13. What is the remainder when 62 is divided by b(o)?
12
Suppose -11*b = -12*b + 8. Suppose 4*s + b = 4. Let d(x) = -12*x + 2. What is the remainder when 54 is divided by d(s)?
12
Suppose -2*f = -7*f + 175. Let d be -3*(-2)/(-12)*0. Suppose d = 18*w - 224 + 8. Calculate the remainder when f is divided by w.
11
Let j = 35 + -15. Let v(n) = 32*n**2 + 7*n - 4. Let w be v(-3). Let i = w - 187. What is the remainder when i is divided by j?
16
Let n(b) = b**3 - 54*b + 155. What is the remainder when 8672 is divided by n(-6)?
256
Let r = -3262 - -4798. Calculate the remainder when r is divided by 762.
12
Suppose -910 = -6*h + h. What is the remainder when h is divided by (16 - 1261/78)*-162?
20
Suppose 0 = -5*q + 130 - 100, -3*x + q + 159 = 0. What is the remainder when 148 is divided by x?
38
Let c = 1997 + -1181. What is the remainder when 269 is divided by (c/(-30))/((-4)/10)?
65
Let j = 9172 - 9152. What is the remainder when 65 - (-1 - (1 + 0)) is divided by j?
7
Let h(f) = 13*f - 4. Let c be h(3). Let o = 0 + c. What is the remainder when (1 + -412)*(-3)/9 is divided by o?
32
Let l = -35176 + 35214. Calculate the remainder when 665 is divided by l.
19
Let z(j) = j**3 - 3*j**2 + j - 2. Let d be z(2). Let p = d + 39. Calculate the remainder when 104 is divided by p.
34
Suppose 0 = -2*o + 2, 0*x - 4*x + 2867 = -5*o. Calculate the remainder when x is divided by 236.
10
Suppose -24416 = -94*a + 1612 + 29996. Calculate the remainder when 1804 is divided by a.
16
Let x = -33 + 0. Let d = x - -39. Suppose 2*w = -d*m + 3*m + 85, -4*m + 195 = 5*w. Calculate the remainder when 64 is divided by w.
29
Let b(m) = 2*m**2 + m. Let v be b(1). Suppose -5*t - 4*c = -336 - 66, -v*t + 3*c + 252 = 