68
Suppose 3*d - m - 11 = -0*m, -4*d - m = -17. Let w(t) = t**2 + 0*t - 11 - d + t + 2. What is the remainder when 50 is divided by w(5)?
16
Let s(o) = 2*o**2 - 3*o - 3. Let b = -29 + 35. Let q be s(b). Let t = q + -34. Calculate the remainder when 84 is divided by t.
16
Let h = -774257 + 774646. Calculate the remainder when h is divided by 4/6 + (-40)/(-3).
11
Suppose -519*x + 565 = -15005. Calculate the remainder when 428 is divided by x.
8
Suppose -4*t + 7*t = 2505. Let c = -2406 + 2482. What is the remainder when t is divided by c?
75
Let k(g) be the first derivative of -g**2 + 11 + 3 + 150*g - 152*g. Calculate the remainder when 34 is divided by k(-7).
10
Suppose -5*r + 123 = -i + 107, -4 = 2*r. Let o(b) = 10*b**2 + 4. What is the remainder when o(3) is divided by 45/9 + (1 - i)?
30
Suppose -4*o - o + 5*h = 1150, 4*o + h + 910 = 0. Calculate the remainder when 31 is divided by (-107)/(-12) - 19/o.
4
Let z = -679 - -734. Let l(n) = n**2 + 4*n - 1. Let i be l(-5). Let f = i - -15. What is the remainder when z is divided by f?
17
Let q(b) = -b**2 + 53*b + 42. What is the remainder when 161 is divided by q(0)?
35
Let y(j) = -14*j - 15. Let i(s) = 14*s + 14. Let r(h) = 5*i(h) + 6*y(h). Calculate the remainder when r(-4) is divided by 13.
10
Let b = 57 - 54. Suppose f + 0*y - b*y - 17 = 0, 25 = -5*y. Suppose -f*o + 4*o - 20 = 0. Calculate the remainder when o is divided by 3.
1
Let f(c) = -c**3 - 7*c**2 + 2*c + 2. Let g be f(-7). Let m = 28 + g. Let y = 48 + -43. Calculate the remainder when m is divided by y.
1
What is the remainder when 3538*(3 + -2) + 13 + (0 - 4) is divided by 142?
139
Suppose -33 = 2*z - 3*d, -3*z = -0*z - 4*d + 52. Let x = 50 + z. Let n = -1 + x. What is the remainder when n is divided by 6?
1
Let d(w) = -w**2 + 40*w - 11. Let z be d(39). Let s(q) = -4*q**3 - 3*q**2 - 4*q - 3. What is the remainder when (45 + z)*(-2)/(-2) is divided by s(-2)?
23
Let v = 88 + -84. What is the remainder when 394/4 + (-6)/v is divided by 20/((6/3)/2)?
17
Suppose -2*q - q = -n + 14, -3*q = 4*n - 101. Suppose -5*g = -p - 280, 5*g - 129 = 2*p + 146. Calculate the remainder when g is divided by n.
11
Let n(v) = 121*v - 87. What is the remainder when 493 is divided by n(2)?
28
Suppose 82*x = -5*w + 85*x + 1497, w = 4*x + 313. Calculate the remainder when w is divided by 66.
33
Let x(g) = g**2 - 10*g + 6. Calculate the remainder when (-118570)/(-3507) - 4/(-21) is divided by x(10).
4
Let u(x) = -12*x - 32. Let q be u(-3). Suppose -3*b = r - 42, b = q*b - 2*r - 51. What is the remainder when 52 is divided by b?
7
Let a = 146668 - 146637. Suppose 47 = 4*q - 3*g, -5*q + 0*q + 53 = 2*g. Calculate the remainder when a is divided by q.
9
Suppose -f = 2*q + 62 - 87, 5*q + 53 = 3*f. Suppose 0*x = -3*x + 18. Let v = f - x. Calculate the remainder when v is divided by 9.
6
Let w be ((-14)/(-49))/(7/784). Suppose 57*b = 58*b - w. What is the remainder when 316 is divided by b?
28
Let v = 149 - 534. Let k = v + 453. Suppose -f - 4*f + 192 = 4*a, 0 = 2*f - 3*a - 63. Calculate the remainder when k is divided by f.
32
Suppose -33*x - 5*z - 65 = -34*x, 216 = 4*x + 2*z. Calculate the remainder when 64 is divided by x.
9
What is the remainder when 4398 is divided by (-7 - -2)*(42 - 46)?
18
Suppose -2*q = -3*s - 22, 2*q = -2*q - 2*s + 92. Calculate the remainder when 4838 is divided by q.
18
Suppose -1979 = 6*a - 755. Let r = a + 217. Calculate the remainder when 28 is divided by r.
2
Let s = -22 + 148. Let j(v) = v**3 - v**2 - 2*v + 16. Calculate the remainder when (0 - s/35)*70/(-4) is divided by j(0).
15
Let p(f) = f**2 + f - 21. Let q be p(-9). Let v = -48 + q. Suppose -v*c = -5*k + 20, -3*c = 2*k + c - 34. Calculate the remainder when k is divided by 3.
1
Let y(s) = -6*s - 48. Let f be 2/12*81/6*-4. Suppose 18 = -k + 42. Calculate the remainder when k is divided by y(f).
0
Suppose 7*m - 2015 = -1574. Calculate the remainder when 162 is divided by m.
36
Let s(v) = -v**3 + 11*v**2 + 19*v + 8. Let c be s(10). Suppose -301*u + c*u = -282. Calculate the remainder when u is divided by 32.
30
Suppose -w + 0*b - 106 = -3*b, -236 = 2*w + 2*b. Suppose -6*u = -4*u - 288. Let t = w + u. Calculate the remainder when t is divided by 8.
5
Let w = 49 + 11. Suppose -20*r - 20 = -25*r. Suppose r*c + 64 = 4*y, -y - c - 34 = -3*y. What is the remainder when w is divided by y?
6
Suppose g + 4*g = 55. Suppose d - 32 = -2*s, -2*d = -4*d + s + 69. Suppose -x = -d - 9. What is the remainder when x is divided by g?
10
Let b(w) be the first derivative of w**4/4 + 4*w**3/3 + 3*w + 2. Let u = -64443 + 64453. Calculate the remainder when u is divided by b(-4).
1
Suppose -18*n - 3 = -19*n. Suppose -n*f + 54 = f + 2*o, o = -3. Let c = 4 + 25. Calculate the remainder when c is divided by f.
14
Suppose 2*g + n + 442 = 7*g, 4*g = -3*n + 346. Suppose 689*p = 681*p + g. Let y(z) = z**2 - z + 1. What is the remainder when y(6) is divided by p?
9
Let p(v) = -58*v - 17. Let l be p(-5). Let z = l + -178. What is the remainder when z is divided by 49?
46
Suppose -4*u = n - 176, -851 = -21*n + 17*n + 5*u. What is the remainder when 416 is divided by n?
8
Suppose -100 = 3*r - 16. What is the remainder when 83 is divided by -5 + 3 - (5 + r)?
20
Let x = -134 + 139. Suppose -4*n + 0 = -x*w + 198, 4*n = 4*w - 156. What is the remainder when 249 is divided by w?
39
Suppose 695*w = 657*w + 5814. What is the remainder when w is divided by (-1 - 0)*-29 - 3?
23
Let p be ((-1664)/(-24))/(-1 - 95/(-90)). Suppose 0 = -98*i + 85*i + p. What is the remainder when i is divided by 27?
15
Suppose -18*n = -6081 + 897. Calculate the remainder when 265 is divided by (((-76)/14)/(-1))/(n/1008).
18
Suppose 8*s - 98667 = -93843. Calculate the remainder when s is divided by 120.
3
Suppose -55 = 277*i - 282*i. Suppose 0 = 2*j - 2*m - 112, -2*j + 35 + 49 = 5*m. What is the remainder when j is divided by i?
8
Suppose 2*a = 5*q - 116, -10*q + 9*q - a = -26. Let s(o) = o**2 - 19*o + 137. What is the remainder when s(q) is divided by 43?
42
Let y(w) = -w**3 + 104*w**2 - 216*w + 2071. What is the remainder when 1719 is divided by y(102)?
25
Let s = -15257 - -15467. Calculate the remainder when s is divided by 156.
54
Let y = 250 - 175. Calculate the remainder when 14008/1133*(-3630)/(-120) is divided by y.
74
Suppose -11*b = 12*b - 140 - 711. Calculate the remainder when 15981 is divided by b.
34
Let z(m) = -m**3 + 79*m**2 - 75*m - 220. Calculate the remainder when 321 is divided by z(78).
13
Suppose -170 = -10*r + 5*r. Let p = 49417 + -49326. Calculate the remainder when p is divided by r.
23
Suppose 0 = l + 3*k - 179 + 136, 4*k = 5*l - 120. Calculate the remainder when 246 is divided by l.
22
Calculate the remainder when 213/4*784/294 is divided by 80.
62
Let u(h) = -h**3 + 44*h**2 - 81*h - 21. What is the remainder when u(42) is divided by 15?
0
Let u(x) be the second derivative of 22*x**3 - 3*x**2 + 32*x - 4. What is the remainder when u(3) is divided by 49?
47
Let c = 36 + -33. Suppose -4*u + g = u - 111, 0 = c*u - g - 67. Suppose -u = -11*q + 9*q. Calculate the remainder when 43 is divided by q.
10
Suppose -393 = -6*o + 8*o + d, d - 5 = 0. Let x = o + 216. Calculate the remainder when x is divided by 3.
2
Let k = -8224 - -8919. What is the remainder when k is divided by 7?
2
Let m = -43 - -128. What is the remainder when 602 is divided by m?
7
Let q(r) = -5*r**3 - 7*r**2 - 53*r - 110. Calculate the remainder when q(-5) is divided by 38.
35
Let z(c) = -c**2 + 12*c - 14. Let x be z(10). Suppose -x*b = b + 14. Let p(q) = -2*q**3 + 2*q**2 - 6*q - 10. What is the remainder when p(b) is divided by 14?
12
Let w(b) = b**3 - b**2 - 6*b - 2. Let o be w(3). Calculate the remainder when 144/15 + 6/15 is divided by (o + 3)*(6 - 4/(-4)).
3
What is the remainder when (-8)/108 - (-59950)/135 is divided by 218?
8
Calculate the remainder when 1140 is divided by (-450)/(-18)*-3*(-44)/6.
40
Let s(m) = -m**3 - 2*m**3 + 2*m**3 - 6*m**2 - 3 + 4*m - m**3. Let a(r) = -44*r - 489. Let u be a(-11). What is the remainder when s(u) is divided by 40?
37
Let g = 4651 + -3941. Calculate the remainder when g is divided by 37/5 + (-36)/(-60).
6
Let h = -45 - -86. Let g(d) = 12*d**2 - d + 15. Let x be (-2)/3*3 + (1 - -4). Calculate the remainder when g(x) is