der when p - (-190)/45 - 547/(-9) is divided by 16.
13
Suppose 6*i = 20 + 52. Suppose -i*c - 512 = -14*c. Calculate the remainder when c is divided by 13.
9
Let s be ((-1)/(9/30))/((-12)/18). Suppose -s*n - 575 = -5*t, -2*n + 5*n - 488 = -4*t. Calculate the remainder when t is divided by 60.
59
Let y(d) = -d**3 - 70*d**2 - 77*d + 136. Calculate the remainder when y(-69) is divided by 144.
112
Suppose -11*q + 5*q = -30. Suppose q = 2*m - 9. Suppose -k = d - 60, -3*k - 264 = -m*k + 4*d. What is the remainder when k is divided by 13?
11
Let u(g) = 4*g**2 - 2*g - 4. Let o(r) = -r**3 + 16*r**2 - 13*r + 9. Let z be o(15). Let q = z + -17. Calculate the remainder when u(-5) is divided by q.
18
Let o be ((-64)/(-48))/((-4)/6). Suppose -4*t = -0*t - 12. Calculate the remainder when (-3 - o)*-2 - (3 - 6) is divided by t.
2
Let m = 108 + 11. Let q = -166 - -283. Calculate the remainder when q is divided by (-3)/((-42)/4) - (-1989)/m.
15
Let z = 4522 + -4472. Calculate the remainder when 322 is divided by z.
22
Suppose 721*r - 3 = 720*r. Let t = -6 + 9. Calculate the remainder when r is divided by t.
0
Let c(i) = i - 2. Let w be c(-6). Let l(q) = 3*q**2 + 15*q - 6. Calculate the remainder when l(w) is divided by 28.
10
Let w = 33 + 21. Suppose 2120 = -8*d - 0*d. Let t = d + 293. What is the remainder when w is divided by t?
26
Suppose -77 = -0*i - 11*i. Calculate the remainder when 88 is divided by i/(14/46) - -2.
13
What is the remainder when 640 is divided by (-2528)/(-16) + (-8 - -21)?
127
Let a = -1418 - -1429. Let m be ((-9)/4)/(9/96). What is the remainder when (-488)/m - 1/3 is divided by a?
9
Let h(j) = -j**2 + 16*j + 13. Let r be h(17). Let m be (-2)/r - (3 + (-17660)/(-8)). What is the remainder when 5/(25/3) + m/(-25) is divided by 45?
44
Let g(h) = 10*h**3 - 2*h**2 - 4. What is the remainder when g(2) is divided by (-2)/20 - 1528/(-80)?
11
Suppose -216*h = -229*h + 429. Calculate the remainder when 87 is divided by h.
21
Suppose 12 + 48 = 3*r. Calculate the remainder when (-94164)/(-531) + (-2 - (-4)/6) is divided by r.
16
Let p(o) = -o**3 + 23*o**2 - 38*o - 63. Suppose 0 = -2*v - 8 - 10. Calculate the remainder when 68/3*v/(-2) is divided by p(21).
18
Suppose -v + 4 = 9. Let d be (-19)/(-3)*(-17)/(136/(-24)). Let a = v + d. What is the remainder when 55 is divided by a?
13
Let k = -440 - -436. Let y(b) = -75*b - 19. What is the remainder when y(k) is divided by 70?
1
Let l(p) = -p**2 + 14*p + 34. Let s = -2 - -18. Let n be l(s). Suppose 5*y + n*v = 228, 5*v = -2*y + 6*v + 84. What is the remainder when y is divided by 23?
21
Suppose o + 3*d - 106 = 0, 217 = -2*d + 233. Calculate the remainder when 555 is divided by o.
63
Let f = 6 - 4. Suppose f*p = 10, 0 = 4*q + 40*p - 43*p - 117. Calculate the remainder when 180 is divided by q.
15
Let q(t) = 15*t**2 - 2. Suppose -a + 2 = -i - 0*i, 0 = 2*a + 4*i - 10. Calculate the remainder when q(a) is divided by 609/18 - (-2)/12.
31
Suppose 4*c - 2*n = 140, -3*c = 5*n - 40 - 91. What is the remainder when c is divided by (-48)/312 + 264/26?
7
Suppose -4*i - 194 = -3*y, 2*y + i - 285 = -3*y. Let l(j) = -j**3 - 8*j**2 - 5*j - 17. What is the remainder when (y/4)/((-3)/(-18)) is divided by l(-8)?
18
Suppose -189*d + 191*d - 47 = 39. Suppose -4*j = -0*j - 1184. Calculate the remainder when j is divided by d.
38
Let y(i) be the first derivative of -33*i**2/2 - 35*i - 268. Suppose 0 = 2*l - 0*l + x + 7, -3*l - 8 = 4*x. Calculate the remainder when y(l) is divided by 20.
17
Let f(g) = 7*g - 169. What is the remainder when (-256)/(-12)*(4 + 2) is divided by f(29)?
26
Let b(m) = -134*m + 1. Let j(q) = 160*q. Let d(s) = 6*b(s) + 5*j(s). Suppose -3*t = -14 + 32. Calculate the remainder when 59 is divided by d(t).
29
Let a = 126 + -146. Let d = a + 70. Suppose 58 = 4*b - w, 5*w = 3*b + b - d. What is the remainder when 104 is divided by b?
14
Let s = -68 + 80. Suppose 6*a + s = 9*a. What is the remainder when 66 is divided by a?
2
Let h(q) = 4*q**2 + q - 1. Let j be h(-3). Suppose 10*m = -6*m + j. What is the remainder when 22 is divided by m?
0
Suppose -s - 2*t + 229 = -0*t, 5*t - 15 = 0. Let v be 1 + (1 - 1) + 2. Calculate the remainder when s is divided by ((-60)/(-9))/(-5) + 100/v.
31
Let m = -5059 + 5077. Calculate the remainder when 5776 is divided by m.
16
Let i = 67 + 30. Let o = -13418 - -13438. What is the remainder when i is divided by o?
17
Suppose 3*c - 3*i = 14 - 68, -10 = c + 3*i. Calculate the remainder when -2*(-2)/(-8)*(c + -12) is divided by 3.
2
Let c(k) = k**2 - 2*k + 2. Let b be (0 - -1)*(13 + -9). Suppose 0 = 4*u + b*v - 16, -4*u - 4*v - 2 = -2*u. Calculate the remainder when c(u) is divided by 22.
21
Let m = 4006 - 3995. What is the remainder when 499 is divided by m?
4
Let h = 0 - 52. Let d = h + 57. Let v(a) = a**2 - 2*a - 12. Calculate the remainder when v(d) is divided by 2.
1
Let s(q) = -q**2 + 53*q + 13169. What is the remainder when s(-91) is divided by 17/(-2)*(-2)/1?
14
Suppose -i + 1793 = 224*h - 220*h, -5*h = -35. Calculate the remainder when i is divided by 71.
61
Suppose -5*y = -78 + 8. Suppose 0 = -5*k - 11 - y, 3*n = -k + 64. Calculate the remainder when n is divided by (((-32)/20)/4)/((-5)/75).
5
Suppose -5*b + 365 = 3*f, 4*b + 4*f - 241 = b. Let o = 0 - 0. Calculate the remainder when b is divided by -1 + o/(-2) + 18.
16
Suppose -2*n + 5*f + 203 = 0, -300*n + 305*n = f + 473. Calculate the remainder when 102 is divided by n.
8
Suppose 3*b - 6*y = -8*y + 2723, 2*b - 3*y - 1824 = 0. Let r = -880 + b. What is the remainder when 135 is divided by r?
19
What is the remainder when (3 - 1)*(-929)/(-2) - 0 is divided by 62?
61
Suppose 46*d - 92272 = -11*d - 16*d. Calculate the remainder when d is divided by 413.
25
Calculate the remainder when ((6/9)/1 - -3145) + 24/(-36) is divided by 143.
142
Let m = -115 - -191. Let g = 177 + -177. What is the remainder when m is divided by (g + 70/21)/(2/12)?
16
Let x(v) = v**3 - 15*v**2 - 34*v - 2. Let h be 85/5*(-2)/(-2). Let t be x(h). What is the remainder when 16 is divided by 88/4*(-1)/t?
5
Let z(h) = -7*h**2 - 5*h + 57. Let k(j) = 11*j**2 + 8*j - 85. Let s(a) = 5*k(a) + 8*z(a). Calculate the remainder when s(0) is divided by (-2)/(-8)*2*4180/190.
9
Suppose -3*p - 148 = -5*p. Suppose -2*k + 230 = -4*o - 190, 0 = -2*o - 8. Suppose -4*u + k = p. Calculate the remainder when u is divided by 11.
10
Let p(v) = v**2 - 17*v + 32. Let c be p(15). Let b(f) = -6 - 11 - c*f + 64. Calculate the remainder when b(-15) is divided by 16.
13
Let c(w) = 22*w - 19. Suppose -2*m - 16 = -20. What is the remainder when 37*3/6*4 is divided by c(m)?
24
Let j be 8/(-5)*215/(-172). Let b(d) = 52*d**3 + d**2 - 4*d + 6. Calculate the remainder when b(j) is divided by 14.
12
Let z = 6061 + -5828. What is the remainder when 416 is divided by z?
183
Suppose 4*a - 182 = 2*h - h, 4*a - 178 = -h. Suppose 23*n - a = 14*n. What is the remainder when 129 is divided by n?
4
Suppose -559 = -44*t + 2345. What is the remainder when 117 is divided by t?
51
Suppose 16 = -6*u + 130. Let v(z) = -z + 55. What is the remainder when 57 is divided by v(u)?
21
Let o = 15893 - 15699. What is the remainder when 3287 is divided by o?
183
Let z(y) = -3688*y + 18456. Let w(v) be the third derivative of 3*v**5/20 + v**4/12 - v**3/6 + v**2. What is the remainder when z(5) is divided by w(1)?
6
Suppose 10*m - 2252 = 38. Suppose 3*b + 117 = 3*u, -5*u + m = -2*b + 22. What is the remainder when u is divided by 15?
13
Calculate the remainder when 381 is divided by 22475/120 + (-1)/(-3) - 63/(-168).
5
Suppose 24*a - 5829 - 3409 = 2522. Calculate the remainder when a is divided by 96.
10
Let x = -329 - -468. Calculate the remainder when x is divided by ((-184)/(-44) - 4) + 273/11 + -1.
19
Suppose -2*g = 3*g + 2*h - 655, 4*h - 524 = -4*g. Suppose 0 = -8*u + g + 61. What is the remainder when 118 is divided by u?
22
Let o(c) = c + 88. Suppose -10*t + 192 = -16*t. What is the remainder when 139 is divided by o(t)?
27
Suppose -5*x + 2*j - 515 = -10*x, -3*j = -2*x + 206. Let n = 126543 + -126528. What is the remainder when x is divided by n?
13
Suppose -i = 3*g - 1, i + 4*i + g = 61. Calculate the remainder when 1271 is divided by i.
10
Let d(x) = x**3 - 35*x**2 - 71*x - 98. Calculate the remainder whe