er when 18 is divided by k?
4
Suppose 51*n = 45*n + 270. Calculate the remainder when 67 is divided by n.
22
Let z(r) = -r**3 - 9*r**2 - r - 11. Let m be z(-9). Let g be 209/22 + 1/m. Suppose -4*d = -g*d + 85. What is the remainder when d is divided by 9?
8
Let p = 20 + -14. Suppose 7*w - 5 - 30 = 0. Calculate the remainder when p is divided by 4*(1 + w/(-10)).
0
Suppose 26*f - 2324 = -2*f. Calculate the remainder when f is divided by 17.
15
Let x(s) = -12*s + 9. What is the remainder when x(-5) is divided by 9?
6
Let b(j) = j**3 + 6*j**2 - j - 4. Let q be b(-4). Suppose -5 = h - q. Suppose -2*i + 29 = -h. Calculate the remainder when i is divided by 8.
4
Suppose -17 + 35 = 2*z. What is the remainder when 50 is divided by 6*(20/(-90) - (-41)/z)?
24
Suppose -191 - 63 = -2*c. Suppose -3*m = -5*j + 142, j = -2*j - 5*m + 58. What is the remainder when c is divided by j?
23
Suppose 0 = 4*w - 3*v - 34, -4*w + 4*v + 35 + 1 = 0. What is the remainder when w is divided by (-42 + 43)/((-3)/(-6))?
1
Suppose 9*n - 36*n + 270 = 0. Calculate the remainder when 43 is divided by n.
3
Let g(z) = 2*z**2 - 15*z + 1. Let m be g(-7). Suppose 2*w - m = -4*c, -w + 0*c + 108 = -c. Calculate the remainder when w is divided by 18.
16
Let i(h) = h**3 + 7*h**2 - 9*h - 11. Let f be i(-8). Let w be (5 - 13)/(-2 - f). Let z = w - -20. Calculate the remainder when 34 is divided by z.
10
Suppose 337 = 5*f + 7*b - 158, -2*f = -b - 179. Calculate the remainder when f is divided by 47.
45
Suppose 0 = -h - 2*h + 6. Let l be (-52)/(-10)*10/4. Let r = l + h. What is the remainder when 41 is divided by r?
11
Let k be -1*(-15 - (-1 + -1 + 1)). Suppose 0 = -c + k - 9. Calculate the remainder when 18 is divided by c.
3
Suppose 18*t + 1427 = 3821. What is the remainder when t is divided by 61?
11
Let f(g) = 22*g + 1. Let i be f(-1). Let w = -11 - i. What is the remainder when (-5)/(-2)*(-588)/(-30) is divided by w?
9
Suppose -2*b = 58 + 26. Let q = b + 90. Let o = 28 + -3. Calculate the remainder when q is divided by o.
23
Let i = 81 - 9. Let o = i + -60. What is the remainder when o is divided by 8?
4
Let v = -325 - -370. What is the remainder when 171 is divided by v?
36
Let l = 182 + -169. What is the remainder when 233 is divided by l?
12
Let t = 360 - 241. Calculate the remainder when t is divided by 62.
57
Let n(o) = -o**3 - 6*o**2 + 6*o - 8. Let j be n(-6). Let s = 43 + -56. Let p = s - j. What is the remainder when 90 is divided by p?
28
Suppose -4*b = 7*b - 1353. Let d = 105 - 74. What is the remainder when b is divided by d?
30
Let w(u) = 1 + 9*u + 13*u - 8*u. What is the remainder when w(10) is divided by 8?
5
Let r(o) = 0*o**2 - 2 + o**3 + 3 - 4*o - 4*o**2 + 3*o**2. Suppose 0 = 4*j - 44 - 64. Calculate the remainder when j is divided by r(3).
6
Suppose 5*h + 49 = 234. Suppose -19 - h = -4*q. Let z(x) = 2*x**2 - 10*x - 9. What is the remainder when z(8) is divided by q?
11
Let m = 78 - 33. Suppose -4*t + m = t. Suppose 3*u + 0*u - 18 = 0. What is the remainder when t is divided by u?
3
What is the remainder when 97 is divided by (5 + -6)/((-294)/(-60) - 5)?
7
Let g(z) = -7*z - 50. Let h be g(-9). Suppose h*a - 45 = 8*a. Calculate the remainder when a is divided by (-26)/(-6) - (-6)/(-18).
1
Let g = 288 + -156. What is the remainder when g is divided by 16?
4
Let z = 407 - 361. What is the remainder when 145 is divided by z?
7
Suppose -5*t = -3*t - 148. Suppose 22 + t = 3*b. Suppose 4*n - q = 40, 2*n + 2*q - 52 = -2*n. Calculate the remainder when b is divided by n.
10
Let s(d) be the first derivative of 2*d**3 - 3*d**2/2 - 4*d + 6. Let q(t) = -t**2 + 8*t + 3. Let j be q(8). Calculate the remainder when s(j) is divided by 14.
13
Suppose 21 = 5*o - 2*o. Suppose -2*v - x = -o*v + 30, 3*v + 5*x = 18. Suppose -36 + 452 = 52*u. What is the remainder when u is divided by v?
2
Suppose 0*g = 2*g - 38. Let t = 6 - 4. Suppose t*f - 38 = -18. Calculate the remainder when g is divided by f.
9
Suppose 1670 = 7*x + 424. What is the remainder when x is divided by 43?
6
Let r be (-16)/(-2)*(-3)/2. Let h = r + 13. Calculate the remainder when 4/18 - 16/(-9) is divided by h.
0
Suppose -36 = -5*d - d. Let o(t) = 8*t - 34. What is the remainder when 21 is divided by o(d)?
7
Let w(s) = 58*s + 2. Let r be w(1). Let g = 85 - r. What is the remainder when 121 is divided by g?
21
Suppose -168*f = -176*f + 816. What is the remainder when 167 is divided by f?
65
What is the remainder when 31 is divided by (1 - 32/24) + (-55)/(-3)?
13
Let j(v) = v - 5. Let c be j(9). Suppose -7*m + 39 - c = 0. Suppose 24*f - 20*f - 28 = 0. Calculate the remainder when f is divided by m.
2
Suppose -232 = 5*v + 2*f, 0*v + f - 91 = 2*v. Let q = v - -84. What is the remainder when q is divided by 14?
10
Suppose -4*i + 7 = -1. Suppose -3*f = 3*u - 264, 4*u - i*f = u + 244. Calculate the remainder when u is divided by 17.
16
Let j be ((-3)/1)/((-12)/116). Let m = -26 + j. What is the remainder when 5 is divided by m?
2
Let b(z) = -5*z - 29. Let w be b(-9). What is the remainder when 162 is divided by ((-16)/w)/(-2*(-2)/(-60))?
12
Let f be -2 + (-12)/(-1 + -2). Suppose 4*z - 40 = -4*u, 0 = -2*u + z + 13 + 1. Calculate the remainder when 1*f*(-26)/(-4) is divided by u.
5
What is the remainder when (3 + (-142)/6)*63/(-14) is divided by 21?
9
Let t(s) be the second derivative of -s**5/20 + s**3/6 + 9*s**2 - 107*s. Let a(o) = -o**2 + 1. Let c be a(1). What is the remainder when t(c) is divided by 10?
8
Suppose -239 = -4*f - 3*u, 4*u + 34 + 21 = f. Calculate the remainder when f is divided by 20.
19
Suppose -2*o - 3 + 9 = 0. Suppose 5*t = 5*z - 0*z - 220, -5*z - o*t = -180. Calculate the remainder when z is divided by 21.
18
Let t be 6*-4*(-5)/40. Let m(i) = 6*i**3 + i**2 - i - 3. Calculate the remainder when m(t) is divided by 42.
39
Suppose 4*f - 12 = -4*j, j + 12 = -6*f + 8*f. What is the remainder when 106 is divided by f?
1
Suppose -3*f + 90 = 6*n - 3*n, -2*n + 5*f = -46. Calculate the remainder when 84 is divided by n.
0
Let r(j) = 9*j + 2. Let p be r(-2). Let x = 6 - p. Calculate the remainder when 2*5*4/32*68 is divided by x.
19
Suppose -20*x = -7*x - 273. What is the remainder when 73 is divided by x?
10
Let d be (-12)/(-2 - (-2)/4). Let s = d - 2. Suppose 2*n - 32 = -2*h, -42 - 14 = -3*h + n. Calculate the remainder when h is divided by s.
0
Calculate the remainder when 6 - ((-422)/8 - 7/28) is divided by 9.
5
Suppose -18*a + 1563 = 15. Calculate the remainder when a is divided by 29.
28
Let g(d) = 2*d**3 - 334*d**2 + 338*d - 979. Suppose 2*s - 112 = 18. What is the remainder when s is divided by g(166)?
14
Suppose f - 30 + 12 = -5*o, -3*f + 2*o + 88 = 0. Suppose -9*j + z = -6*j - 335, 0 = 4*z + 20. What is the remainder when j is divided by f?
26
Let p be 0 - 4 - -2 - (15 + 1). What is the remainder when p/12*232/(-6) is divided by 30?
28
Suppose -3*i + 14 = 4*q - 19, -3*q + 4*i + 56 = 0. Let p = 27 - q. What is the remainder when p is divided by 6?
3
Suppose 74 = 6*z - 148. What is the remainder when 62 is divided by z?
25
Let i = -755 - -993. What is the remainder when i is divided by 74?
16
Let b = 2 + -5. Let k = b - -10. Suppose -130 = -5*a + 5*x, 4*a - a - 78 = -5*x. Calculate the remainder when a is divided by k.
5
Suppose 2*r + 1 = 7. Let l = r - -26. Calculate the remainder when l is divided by (12/(-5))/(3/(-10)).
5
Suppose -2*a - 2 + 4 = 0. Let j = a + 4. Calculate the remainder when j + -2 + (3 - -5) is divided by 3.
2
Let b(k) = k**2 + 2*k - 6. Let z = 16 + -20. Let f = z - -5. Calculate the remainder when b(-4) is divided by f.
0
Let q = 56 + -54. Suppose q*o - 88 = j, -4*j - j + 190 = 5*o. What is the remainder when o is divided by (-21)/(-1) - (0 - 1)?
20
Calculate the remainder when (61 + -62)/((-1)/63) is divided by 16.
15
Let x = 81 - -68. Let q = x - 100. Calculate the remainder when 341 is divided by q.
47
Suppose 3*n - 9*n = -462. Let x = -46 + n. What is the remainder when 91 is divided by x?
29
Suppose 4*n + 0*b = -b + 23, 0 = 3*n - 5*b. Suppose z = 2*x - 5*x + 13, 1 = x. Suppose 3*a - n = z. What is the remainder when 19 is divided by a?
4
Suppose -5*o + 4*h + 385 = 0, 7*o + 360 = 12*o + h. Calculate the remainder when o is divided by 25.
23
Let t = -31 + 61. Suppose 2*a - 20 = 14. What is th