r when n is divided by 13?
11
Suppose -20*k + 15*k = 3*p - 226, 5*p = 5*k + 470. What is the remainder when p is divided by 56?
31
Suppose -2198*u - 1360 = -2159*u - 16180. Calculate the remainder when 2208 is divided by u.
308
Let w(r) = r**3 - 31*r**2 + 11*r - 66. Let x be w(31). Suppose 19 + x = 14*t. What is the remainder when t is divided by (-10)/(-95) - (-207)/19?
10
Let s = -75 - -29. Let l = 1895 - 1914. Let g = l - s. Calculate the remainder when g is divided by 10.
7
Let k = 6590 + -6560. Suppose 0 = -x + 32 + 15. Calculate the remainder when x is divided by k.
17
Let c(m) = -183*m - 2480. Calculate the remainder when c(-16) is divided by 114.
106
Let b = 5232 + -5194. Calculate the remainder when 356 is divided by b.
14
Suppose -21*x = -19*x + 12. Let b(y) = -y**3 - 4*y**2 + 5*y - 15. Let v = 1 + 7. Calculate the remainder when b(x) is divided by v.
3
Suppose 2*m - 3*m + 2*q = -2, 1 = 4*m - q. Suppose m = -9*o + 390 - 39. Calculate the remainder when 152 is divided by o.
35
Let o be 156/15*15/((-12)/(-4)). Suppose -o = 3*g - 253. Calculate the remainder when g is divided by 17.
16
Let l be 4 - (1 + (-20)/(-4)). Let v be (2 + l)*(-7)/14*1. Let x(h) = h**3 + 2*h**2 - h + 25. What is the remainder when x(v) is divided by 8?
1
Let a = -301 - -127. Let w = 189 + a. What is the remainder when w is divided by 2?
1
Let j(w) = -w**3 + 5*w**2 + 9*w - 1. Let t be j(7). Let u = 6 - t. What is the remainder when u is divided by 10?
2
Suppose 36*w - 28*w = -110*w + 30444. Calculate the remainder when 41535 is divided by w.
255
Let g be 0/8*(3 + 0 - 4). Suppose g = -4*j + 5*j - w - 75, -3*j + 5*w + 221 = 0. Calculate the remainder when j is divided by 44.
33
Suppose -9 = b - 2*t, -4*t - 7 = 5*b - 4. What is the remainder when 120 is divided by (2/b*1)/(6/(-243))?
12
Let z = -10 - -19. What is the remainder when (-4 + 1)/((-87)/348) is divided by z?
3
Let k = -18052 + 18197. Calculate the remainder when 2464 is divided by k.
144
Let f(q) = q**3 - 18*q**2 + 10*q + 63. Let j be f(18). Let v = 302 - j. What is the remainder when v is divided by 17?
8
Let d(z) = -z + 36. Let j(y) = -y. Let l(u) = d(u) + j(u). Let i be l(16). What is the remainder when 219*2/6 - i is divided by 14?
13
Let h(b) = -b**2 + 11*b + 20. Let a be h(12). Suppose -4*t - a = -4*o, -t + 22 = 2*o + 3*o. Calculate the remainder when (-11)/(-1) - (1 + 0) is divided by o.
2
Suppose -j - 4*a + 17 = -7, 137 = 5*j + 3*a. Suppose -4*w - 4*m = -196, 2*w - 5*w + 5*m + 171 = 0. What is the remainder when w is divided by j?
24
Let d be (-10)/8*8/(-2). Let g(f) = -2*f**3 + 20*f**2 - 14*f - 33. Let q be g(9). Suppose -d*w + 48 = q*w. What is the remainder when 7 is divided by w?
1
Let v be (122/(4/(-2)))/(-1). Suppose -j + 0*r + v = 5*r, 3*r = 5*j - 221. Suppose 2 = 5*i - 8, j = 3*m + 5*i. Calculate the remainder when m is divided by 7.
5
Suppose 0 = d + 3*c - 701, 4*d - 2836 = -7*c + 3*c. Let k = d - 706. Calculate the remainder when 67 is divided by k.
4
Suppose 2*i - 8*i = 6. Let w be 56 - (i + (1 - 1)). Suppose -8*x = w - 273. What is the remainder when x is divided by 7?
6
Suppose 5*p + 85*i = 84*i + 90, -p - 4*i = 1. Calculate the remainder when 671 is divided by p.
6
Suppose 9*w = 117 + 135. Let y = w - -15. Suppose -5*r = -7 - y. What is the remainder when 48 is divided by r?
8
Let r(d) be the second derivative of 17*d**3/2 - 55*d**2/2 - 2*d - 2. What is the remainder when 132 is divided by r(2)?
38
What is the remainder when (-9)/(18/(-3820)) - (12 + -3) is divided by 14?
11
Let v = -6148 + 6161. What is the remainder when 188 is divided by v?
6
Let z(n) = -n**3 - 6*n**2 + 43*n + 51. What is the remainder when z(-12) is divided by 25?
24
Let t = 2304 - 1670. Calculate the remainder when t is divided by 81.
67
Suppose 5*z - 961 = w, 5*w - 342 - 201 = -3*z. Suppose 36 = 7*c - 4*c. What is the remainder when z is divided by c?
11
Let v(j) = -j**3 + 7*j**2 + 2. Let m be v(7). Let p = -1030 + 1028. Calculate the remainder when 3 is divided by (-31 - -34)*p/((-4)/m).
0
Let x(g) be the third derivative of -g**5/60 - g**4/3 + 10*g**3 + 48*g**2. What is the remainder when 130 is divided by x(-11)?
22
Let g be (14/6 - 2)*9. Suppose 246 = g*s - 24. What is the remainder when s is divided by 1*1/2 + 315/14?
21
Suppose -4*t = d - 20, -15 = -3*d + 10*t - 7*t. What is the remainder when 463 is divided by d?
7
Suppose -22*l + 18*l + 3*y = -981, 5*y + 733 = 3*l. What is the remainder when 1712 is divided by l?
236
Suppose -703 = -4*g - 43. Let b = 7203 - 7151. What is the remainder when g is divided by b?
9
Let n = -1031 + 262. Let f = -656 - n. What is the remainder when f is divided by 58?
55
Let x(z) = 2*z**3 - 75*z**2 + 109*z + 25. Calculate the remainder when 156 is divided by x(36).
34
Let x = 18870 + -18808. Calculate the remainder when 143 is divided by x.
19
Suppose -2*m - m + 12 = 0. Suppose -2*k - 6 = -l + 41, -m*l + 4*k = -172. Suppose -22*x + 15*x = -805. Calculate the remainder when x is divided by l.
37
Let p(l) = -3*l + 2. Let o(n) = -103*n + 218*n + 89 - 114*n. What is the remainder when o(-15) is divided by p(-3)?
8
Suppose u + 392 = 4*z + 2050, 0 = 5*u - 5*z - 8305. What is the remainder when u is divided by 409?
26
Let f(y) = 192*y**2 + y. Let a be f(-1). Suppose 2*t - 800 = -4*q, 2173 - a = 5*t + q. What is the remainder when t is divided by 57?
54
Let g = -5366 + 8958. What is the remainder when g is divided by 124?
120
Suppose -2*b + 3*z = -712, 2*b + z - 645 = 59. Suppose b*q = 355*q - 24. What is the remainder when 33 is divided by q?
9
Let u = -23 - -26. Let j(d) = -6*d - 75. What is the remainder when (32/(-12))/((-1)/u) is divided by j(-13)?
2
Suppose 0 = -5*j + 2*f + 191, 14463*j = 14460*j - 4*f + 47. Let i = -2 + 61. Calculate the remainder when i is divided by j.
26
Let h(f) = -f**2 - f - 2. Let q(i) = -i - 4. Let z(m) = -4*h(m) + 4*q(m). Calculate the remainder when z(5) is divided by 4.
0
Suppose 47*i - 2254 = -280. Calculate the remainder when 2893 is divided by i.
37
Suppose b - 4*d = 21, -3*b + 2*d = -28 + 5. Suppose 4*m = -3*i - 100, 98 = -b*m - 0*i + 3*i. Calculate the remainder when 34 is divided by 20/(-5) + 0 - m.
16
Suppose 0 = -3*h + 4*h - 6. Suppose d + 3*p - 69 = 5*p, -h = 2*p. Calculate the remainder when d is divided by (-1)/(((-20)/85)/4).
12
What is the remainder when 3602 is divided by (45/6 + 2)/((-11)/(-1386))?
11
Suppose -3*b + 33 = 3. Suppose b*q = 11*q - 26. Suppose -5*x + 63 = 2*t + 14, 4*t = 4*x - 28. Calculate the remainder when q is divided by x.
8
Let f(r) = -r + 2. Let l(m) = -15*m + 57. Let z(v) = 4*f(v) - l(v). Let t = 51 + -20. What is the remainder when t is divided by z(6)?
14
Let f(o) = o**3 - 5*o**2 - 4*o + 2. Calculate the remainder when 1345/25 - (6/10)/(-7 - -4) is divided by f(6).
12
Suppose -3*t = -5*t + 100. Suppose -t*o + 45*o + 185 = 0. What is the remainder when 182 is divided by o?
34
Suppose 58*t - 342 - 1224 = 0. Calculate the remainder when 294 is divided by t.
24
Suppose 2*i - 5*g - 79 = -2*g, 0 = -5*i + 4*g + 215. Calculate the remainder when 160 is divided by i.
19
Let w(h) = 8*h**3 - h**2 - 8*h + 12. Let l be w(3). Suppose -l = -6*k - 69. What is the remainder when 251 is divided by k?
20
Suppose -r - 2 = -3, 0 = 2*o - 3*r + 129. Let l = 87 + o. Suppose -q + d + 0*d + 44 = 0, 0 = -3*q + d + 122. Calculate the remainder when q is divided by l.
15
Suppose -2*r = 4*t - 4156, 4*r = -5*t + 624 + 4571. Suppose -t - 89 = -12*o. Calculate the remainder when o is divided by 19.
18
Let a(g) = -3*g + 1. Let i(n) = 16*n - 69. Let z(m) = -14*a(m) - 2*i(m). Calculate the remainder when z(-6) is divided by 3.
1
Suppose -47*h + 622 - 246 = 0. Suppose 8*v + 340 = 12*v. What is the remainder when v is divided by h?
5
Let x = -3260 - -3263. Calculate the remainder when 919 is divided by x.
1
Let k(n) be the third derivative of -n**4/8 - n**3/2 - 3*n**2. Suppose 360 = -56*q + 2544. What is the remainder when q is divided by k(-8)?
18
Calculate the remainder when 4650 is divided by (0 - -1)/((-2)/(-3))*(-760)/(-60).
14
Let x(v) = -v**3 + 11*v**2 - 11*v + 14. Let z be x(10). Suppose 391 = z*s + 13*s. What is the remainder when 118 is divided by s?
3
Let a = -259 - -279. Calculate the remainder when (-20)/(-3)*108/a is divided by 10.
6