Let m = -32 + 39. Suppose 1 = -w + m. What is the remainder when x(w) is divided by 25?
22
Let y(r) = 2*r**2 + 17*r + 12. Let v = -16 - -16. Suppose a - 2*j = -5*j + 4, -a + 5*j - 36 = v. Calculate the remainder when y(a) is divided by 17.
16
Let a(s) = 4*s**2 - s - 1. Suppose -8 - 4 = -4*i. Calculate the remainder when a(-1) is divided by i.
1
Suppose -3*j + 12 + 36 = 0. Let m = j + -21. What is the remainder when 9 is divided by (-2)/m + (-280)/(-50)?
3
Suppose w = 2*m + 13, -4*w - 3*m - 15 = -23. Suppose 0 = -4*s + 30 + 38. What is the remainder when s is divided by w?
2
Suppose 18*k - 13*k = 70. Let g(f) = -f - 4. Let v be g(0). Let w = k + v. What is the remainder when 19 is divided by w?
9
Let y(p) = -7*p**2 + p + 2. Let v be y(-2). Let i be (-2)/(-8) - 721/v. Suppose 0 = 3*w - r - 1 - i, 4*r = 0. Calculate the remainder when 32 is divided by w.
5
Suppose 3*s - 1126 = 5*l, -2*l + 1906 = 5*s - 3*l. What is the remainder when s is divided by 35?
32
Let w = 244 - 209. Suppose 16 = -y + 5*y. Suppose -45 = -g - y*g. What is the remainder when w is divided by g?
8
Let o = 24 - 24. Suppose o = 12*t - 17*t + 25. Suppose 20 = 4*i - 2*m - 58, 95 = t*i - 5*m. Calculate the remainder when 38 is divided by i.
18
What is the remainder when ((-9)/18)/(15/(-1350)) is divided by 30?
15
Suppose 5*n - 6 + 182 = 4*b, -3*b + 132 = -2*n. Calculate the remainder when b is divided by 41.
3
Suppose 2*b = -4*b + 30. Suppose f - b*v = 28, -5*f + 47 = 5*v - 33. What is the remainder when f is divided by 10?
8
Let c = 49 + -22. Suppose 5*g = -x + 71 + 187, -514 = -10*g - 3*x. Calculate the remainder when g is divided by c.
25
Let n = -515 + 531. Calculate the remainder when 214 is divided by n.
6
Suppose -4*g + 3*f = -76, 2*g + f - 38 = -0*g. What is the remainder when (-931)/g*(1 + -2) is divided by 10?
9
What is the remainder when 696 is divided by (0 - 6)*(-8 + 9) + 32?
20
Suppose 0 = -2*g + 30 - 14. What is the remainder when 21 is divided by g?
5
What is the remainder when (48/(-120))/(2/(-380)) is divided by 42?
34
Let g be 5 + -79 + 5 + -5. Let s = g - -121. What is the remainder when s is divided by 26?
21
Let j be 4 - (5 + -2)/3. Suppose 78 = -j*g + 5*g. What is the remainder when g is divided by 8?
7
Suppose 83*k + 78 = 86*k. Let d(s) = -s - 2. Let m be d(-4). Suppose m*y - 6 = 22. What is the remainder when k is divided by y?
12
Suppose -3*y + 3*j + 1512 = 0, -4*y + 1065 = -j - 963. What is the remainder when y is divided by 17?
15
Suppose -a + 0*a - 138 = -3*o, 138 = 3*o + 3*a. Calculate the remainder when 125 is divided by o.
33
Suppose g + 36 = 2*g. Let i = 49 - g. Calculate the remainder when 51 is divided by i.
12
Let o(k) = -24*k + 370. Calculate the remainder when o(13) is divided by 31.
27
Let n(v) = -2*v - 5*v**2 - 6 - 2*v**2 + 4*v**2 + 4*v**2. Let c be (-126)/6*(-4)/12. What is the remainder when n(c) is divided by 11?
7
Let r(t) = -4*t**3 + 3*t**2 + 5*t + 9. Let y(v) = -v**3 + v + 1. Let b(q) = -r(q) + 5*y(q). Calculate the remainder when 45 is divided by b(-4).
9
Let k(p) = p**3 - 14*p**2 - 15*p + 15. Let c = 89 - 48. Calculate the remainder when c is divided by k(15).
11
Let c(g) = -g**3 - 10*g**2 - 5*g + 25. Suppose 3*s - 8*s - 105 = -5*p, 3 = 3*s. Calculate the remainder when c(-10) is divided by p.
9
Suppose 0 = -d - 5*h + 54, -4*d + 0*d - 4*h + 136 = 0. Suppose 22 + d = 3*q. Let f(y) = y**2 + 2*y - 3. Calculate the remainder when q is divided by f(2).
2
Let z = 0 + 2. Suppose -4*x + 4*y + 20 = 0, 0 = z*x - y - 2 - 5. Suppose -x*v = v - 12. Calculate the remainder when v is divided by 3.
1
Let q(l) = 0 + l**2 + 3*l + 2 + 4*l. Let a be q(-7). Suppose a = 2*x, 0 = -9*d + 4*d - 5*x + 220. What is the remainder when d is divided by 15?
13
Let y(n) = -n**2 - 14*n - 16. Calculate the remainder when 421 is divided by y(-12).
5
Let h(t) be the first derivative of t**2/2 + 21*t - 17. Calculate the remainder when h(-13) is divided by 5.
3
Let v be (-80 - 1/1) + -1*3. Let h = v + 108. What is the remainder when 93 is divided by h?
21
Let n = -822 + 868. What is the remainder when 93 is divided by n?
1
Let i = 22 - 9. Suppose -3*f = -0*f - 2*b - i, -5*b - 22 = -4*f. Calculate the remainder when 84 - (-3 + f - 2) is divided by 22.
20
Suppose -5*y + 4*y = -34. Calculate the remainder when y is divided by ((-8)/((-240)/54))/(6/40).
10
Suppose 3*u - 53 = 5*c + 31, -5*c + 180 = 5*u. What is the remainder when u is divided by 18?
15
Let i(a) = -a + 17. Let o be i(15). Suppose -5*w + o*w + 105 = 0. Let b = 69 - w. Calculate the remainder when b is divided by 9.
7
Suppose 0*q = 3*q. Let y be q + 2/1 + 1. Suppose -2*c + y = -5. Calculate the remainder when 9 is divided by c.
1
Calculate the remainder when (8/(-3))/(10/(-615)) is divided by 19.
12
Suppose -2*k + 119 = 29. Let h(u) = -4*u. Let d be h(-1). Suppose 28 = d*o - 68. What is the remainder when k is divided by o?
21
Let n = 256 + -231. What is the remainder when 85 is divided by n?
10
Let u = 83 + -76. What is the remainder when 12 is divided by u?
5
Let t = -311 + 315. Let j(o) = -o**3 + 5*o**2 - 4*o + 4. What is the remainder when j(3) is divided by t?
2
Let w be (5 - 4)*(-2)/2. Let z = 12 - w. Suppose -k = k, -v - 2*k = -z. Calculate the remainder when 36 is divided by v.
10
Let f = -33 - -35. Suppose 37 = 5*o + 4*m, -f*o + m = -4*o + 16. Let n = -26 - -60. Calculate the remainder when n is divided by o.
7
Suppose -i + 2 = 0, 286 = 4*g - i - 4*i. Let h = -139 + g. Let k = h - -100. What is the remainder when k is divided by 18?
17
Let w(d) be the third derivative of -5*d**4/24 - 5*d**3/2 + 10*d**2. What is the remainder when w(-7) is divided by (-2)/(-7) - 80/(-14)?
2
Suppose 6*q - 90 = 3*q. Let l = q + -35. Let w(m) = 2*m**2 - m - 5. Calculate the remainder when w(l) is divided by 14.
8
Suppose 5*a - 14 = -4. Suppose -6*p + p - 35 = -4*s, 4*p + 22 = a*s. What is the remainder when s is divided by 4?
1
Let z(a) = a**2 + 19*a - 239. What is the remainder when z(-54) is divided by 59?
58
Suppose 3*r - 4 = -f + 4, 2*r + 2*f - 8 = 0. Suppose o + 7 = r*o. Calculate the remainder when 13 is divided by o.
6
Suppose 5*o - 6 = 19. Suppose -29 = o*a - 9. Let n = 13 + a. Calculate the remainder when 26 is divided by n.
8
Suppose a = 4*x + 318, 16*a + 4*x - 1542 = 11*a. What is the remainder when a is divided by 45?
40
Let u(j) = 2*j**3 + 33*j**2 - 53*j + 63. Calculate the remainder when u(-18) is divided by 16.
13
Let x = 602 + -544. Calculate the remainder when 166 is divided by x.
50
Suppose -3*r + 16 = r. Suppose 0 = -5*i + 13 + 2. Suppose -3*b + 10 = -5*a + b, -r*a + i = -b. What is the remainder when 5 is divided by a?
1
Let h be ((-1)/(-4))/(5/60). Suppose 0 = -h*j + 19 - 1. Calculate the remainder when 27 is divided by j.
3
Suppose -k = -5*k - 20724. Calculate the remainder when (-4)/(-22) + k/(-121) is divided by 12.
7
Let d = 23 - 18. Let p = 88 - 73. Calculate the remainder when p is divided by d.
0
Let n(z) = z**2 - 11*z + 14. Let g be n(11). Suppose 2 = j - g. Calculate the remainder when 93 is divided by j.
13
Let o = -7 - -15. Suppose -68 = -12*r + o*r. Calculate the remainder when 67 is divided by r.
16
Calculate the remainder when 147 is divided by 453/21 + (-24)/(-56).
15
Let v be (-14)/21*27/(-6). Suppose 4*d - 2*s = -s + 139, v*d - 123 = -3*s. Calculate the remainder when 69 is divided by d.
33
Suppose -15 - 21 = -3*b. Suppose x - 4*c = 15, -3*x + 5*c + b = -4*x. Let j = -1 - -8. Calculate the remainder when j is divided by x.
1
Suppose -78*i = -95*i + 1207. What is the remainder when i is divided by 8?
7
Suppose -37 + 4 = -o. What is the remainder when 459 is divided by o?
30
Let v = 475 - 329. Calculate the remainder when v is divided by 30.
26
Suppose 14*o = 4*l + 10*o - 220, 183 = 3*l + 3*o. Calculate the remainder when l is divided by 22.
14
Let v = -28 + 34. Let j be 1872/30 + v/10. Suppose 5*g = 2*n + j, 2*g = -0*g - 3*n + 29. Calculate the remainder when g is divided by 8.
5
Suppose 24*t + 5*t = 609. Calculate the remainder when 29 is divided by t.
8
Let y(m) = m**2 + m - 14. Let x be y(6). Suppose n - x - 33 = 0. What is the remainder when n is divided by (-11)/(-44) - 83/(-4)?
19
Let s = -22 - -24. Suppose -8 = -i + s. Let y(w) = 10*w - 2. What is the remainder when y(3) is di