the remainder when q is divided by 3.
2
Let u be (25 - -1)/((-5)/85). What is the remainder when u/(-10) + 20/25 is divided by 17?
11
Suppose -13*i + 65 = -18*i. Let r = 15 + i. Let k = 11 - 4. Calculate the remainder when k is divided by r.
1
Let x be 1*(0 - 0/(-2)). Suppose i - 5*i + 28 = x. What is the remainder when i is divided by 4?
3
Suppose 0 = c - 3*c - 10. Let v be ((-268)/20)/(1/c). Suppose -3*h + v - 13 = 0. What is the remainder when 53 is divided by h?
17
Let n(q) = q + 6. Let p be n(-18). Suppose 4*f + 16 = -48. Let r = p - f. Calculate the remainder when 6 is divided by r.
2
Suppose 2*b - 142 = 5*z, 0 = 5*b + 23 - 3. Let s = z + 20. What is the remainder when (-1)/(2/s - 0) is divided by 3?
2
Suppose b + 115 = 6*b. Let t = -5 + b. Let a = t + -4. Calculate the remainder when a is divided by 3.
2
Suppose 0 = -o - 2 + 4. Suppose -o*q + 4*d = -28, 0 = -q - d - 3 + 5. Let h = 39 - q. Calculate the remainder when h is divided by 9.
6
Suppose 14*y = 26*y - 2376. What is the remainder when y is divided by 8?
6
Suppose 3*j - j + 5*n = 15, 0 = -5*n + 5. Suppose j*z - 2*h - 398 = -0*h, -159 = -2*z + h. What is the remainder when z is divided by 27?
26
Let d = -56 - -91. Let w = -14 + d. Calculate the remainder when 2/(2/w) + -2 is divided by 11.
8
Let l = -437 + 456. Let v = -82 - -175. What is the remainder when v is divided by l?
17
Let z be (-3)/2 + (-465)/(-62). Let w(b) = 3*b**2 - 9*b + 7. Calculate the remainder when w(z) is divided by 32.
29
Suppose -9*v + 69 + 30 = 0. What is the remainder when 26 is divided by (-13)/(572/(-8)) + 108/v?
6
Suppose -5*i = 4*x - 6, -3*i + 3*x - 2 = -11. Suppose 19 = -i*t + 47. Let a = t + -12. Calculate the remainder when 6 is divided by a.
0
What is the remainder when ((-90)/(-24))/3*40*11 is divided by 24?
22
Suppose 5*t + 3*r - 75 = 0, 7*t - 5*r + 8*r = 105. Suppose 4*i - p = 28, 28 = 4*i - 3*p + 7*p. What is the remainder when t is divided by i?
1
Let q(n) = 2 - 28 - n**2 + 12 - 11*n. What is the remainder when 46 is divided by q(-6)?
14
Let v(b) = 9*b. Let d = 3 - 4. Let r be v(d). Let s = r - -16. Calculate the remainder when 19 is divided by s.
5
Let a = -301 + 185. Calculate the remainder when a/(-12) - 6/9 is divided by ((-1)/2)/1*-10.
4
Let u = 3681 - 2201. Calculate the remainder when u is divided by 39.
37
Let t(y) = y**2 - 3*y - 10. Suppose 33 = -10*m - m. Calculate the remainder when t(m) is divided by 5.
3
Suppose -4*h = -9*h + 10. Let f(o) = h*o - o + 5*o**3 + 12*o**3. What is the remainder when 52 is divided by f(1)?
16
Suppose 4*z + 2*d - 157 = -z, z - 41 = 2*d. Let q(p) = 3*p**2 + 4*p - 4. Let o be q(4). Suppose 0 = 7*y - 2*y - o. What is the remainder when z is divided by y?
9
Suppose 2*t = -6, z - 326 = -4*z - 3*t. Calculate the remainder when z is divided by 8.
3
Let f = -48 + 72. Suppose 0 = -7*p + 192 + 466. What is the remainder when p is divided by f?
22
Let d = -61 + 65. Calculate the remainder when (6 - 2)*100/8 is divided by d/2 + 110/10.
11
Suppose 0 = -20*b + 474 + 1586. What is the remainder when b is divided by 8/5*65/2?
51
Let w(s) = -s**3 - 3*s**2 + 9*s + 11. Suppose -105*x + 17 = -104*x. What is the remainder when w(-6) is divided by x?
14
What is the remainder when 69 is divided by -50*(-9)/(90/4) - 2?
15
Suppose 15*r = 9*r + 714. Let h(o) = -o - 2. Let f be h(-4). Suppose f*v - 4*v + 60 = 0. Calculate the remainder when r is divided by v.
29
Let d = -7 + 52. Calculate the remainder when ((-176)/20)/(2/(-20)) is divided by d.
43
Let c(x) = 3*x + 12. What is the remainder when 63 is divided by c(2)?
9
Let i(y) = -4*y**3 - 8*y + 3*y**3 - 10*y**2 - 3*y + 13. Suppose -3*n - 31 = 3*v + v, -3*n + 2*v - 25 = 0. What is the remainder when i(n) is divided by 8?
7
Let q(z) = -2*z**3 + 6*z**2 + 13*z + 5. Calculate the remainder when 165 is divided by q(-2).
13
Calculate the remainder when 195 is divided by (2 - (9 - 5))*(-42)/4.
6
Suppose 0*d = -2*d - 244. Calculate the remainder when 37 is divided by 5/(-30) + d/(-12).
7
What is the remainder when 69 is divided by (-2)/8 + 1155/60?
12
Let v(g) = g**3 - 23*g**2 + 40*g + 52. Calculate the remainder when 44 is divided by v(21).
4
Suppose 5*y = 9*p - 5*p + 343, 5*p + 5*y = -485. Let o = p + 192. What is the remainder when o is divided by 26?
22
Let c = 1965 + -1860. What is the remainder when 305 is divided by c?
95
Suppose 114 = i + i. Suppose 135 = 4*d + 5*v, 6 + 6 = 4*v. Let h = d + -18. Calculate the remainder when i is divided by h.
9
Let d = -2 - 1. Suppose 13 = -5*q + 303. Calculate the remainder when q is divided by -3 - 45/d - -3.
13
Let t = 1038 - 1549. Let u be t/(-105) + (-2)/(-15). Suppose u*z = 163 + 42. What is the remainder when z is divided by 21?
20
Let o be (-2)/(-4)*(-6 + (-16)/(-4)). Let y(d) = 91*d**2 + 3*d + 3. Calculate the remainder when y(o) is divided by 19.
15
Suppose -4*j - 3 = g - 19, 4*g + j = 34. Calculate the remainder when 30 is divided by (g + -6)*(9 - 1).
14
Suppose w + 2*w - 54 = 4*a, 4*w - 100 = -4*a. What is the remainder when 16/(-88) + 2842/w is divided by 22?
19
Let t = 411 - 114. Calculate the remainder when t is divided by 23.
21
Let a = 20 - 12. Suppose 5*x - 16 = -3*q, -5*q - 2*x + a = -6. Let o(k) = k - 2. What is the remainder when o(5) is divided by q?
1
Let u(t) = -2*t + 2. Let b be u(-4). Let k = -6 + b. Calculate the remainder when 26 is divided by 75/9 - k/(-6).
8
Suppose 2*j - 16 = -2*i, -4*i + 13 = -2*j - 37. Suppose 34*h = -5*k + 33*h + 481, 0 = k + 3*h - 99. Calculate the remainder when k is divided by i.
8
Let p = 673 + -648. Calculate the remainder when p is divided by 4.
1
Let k(z) = 6*z - 5. Let w(u) = 5*u - 4. Let b(l) = -2*k(l) + 3*w(l). Calculate the remainder when 27 is divided by b(4).
7
Suppose 3*t + 91 - 205 = 0. Let v = 43 - t. What is the remainder when (-2)/(-8) - (-35)/4 is divided by v?
4
Suppose -5*t + 10 = 0, 4*w = 3*t - 0*t + 90. What is the remainder when w is divided by (-6)/(-4)*(-96)/(-9)?
8
Calculate the remainder when 7*(-36)/(-84) + (-174)/(-1) is divided by 14.
9
Suppose -o = o. Suppose o = 3*x - 2*x - 36. Let m = 74 - x. What is the remainder when m is divided by 13?
12
Let x(j) = 3*j**2 + 0*j - 5*j**2 - 2*j - 16*j**3 - 2 + 1. Suppose 1 - 5 = 4*g. What is the remainder when x(g) is divided by 4?
3
Suppose 119 = 3*l - 4*z, 5*z - 5 + 0 = 0. Calculate the remainder when l is divided by 9.
5
Let s(a) = -1. Let q(i) = 2*i + 22. Let u(g) = q(g) + 5*s(g). What is the remainder when 50 is divided by u(5)?
23
Let r = 107 + -60. Let s = 109 - 64. Suppose -5*g + 3*j = -r - 43, 4*g - s = -3*j. Calculate the remainder when 42 is divided by g.
12
Suppose 7*k + 1583 = 1590. Calculate the remainder when 8 is divided by k.
0
Let y(f) = -1 + 26*f + 5*f + 2*f - 5. Calculate the remainder when y(3) is divided by (-2 - -2) + 1 + 15.
13
Let g = -509 + 530. What is the remainder when 353 is divided by g?
17
Let o be (1 + 0)*-2 + -1. Let j be -3*(-8)/12 - o. Suppose 3*g + 34 = 5*d, -3*g + j - 14 = 0. Calculate the remainder when 8 is divided by d.
3
Suppose 0 = -8*n + 13*n - 345. Suppose 4*p = -n + 9. Let x = 34 + p. Calculate the remainder when 56 is divided by x.
18
Let h(g) = -g**2 - g - 1. Let v be h(4). Let l = v + 29. Suppose -2 = 3*d - 17. What is the remainder when l is divided by d?
3
Let a(k) be the first derivative of -k**2/2 + 29*k - 8. What is the remainder when 55 is divided by a(14)?
10
Let j = -429 - -441. What is the remainder when 134 is divided by j?
2
Let p(y) = -y**3 + 3*y**2 + 3*y. Let z be p(-2). Suppose -z = -2*j + 50. Let a(r) = 10*r**2 - 9*r - 23. Calculate the remainder when a(-3) is divided by j.
30
Suppose -102 = -2*f - 62. Calculate the remainder when f is divided by 20.
0
Let a = 26 - 21. Suppose -3*h - 4*p - 18 = -8*h, -3 = h - 3*p. What is the remainder when h is divided by a?
1
Let s = -16 + 58. Suppose 4*o - 10 = h - o, -o = -5*h + 70. Calculate the remainder when s is divided by h.
12
Let i(g) = -g**2 + 3*g + 92. What is the remainder when 179 is divided by i(-8)?
3
Let f = -56 - -67. Suppose -351 = -17*k + 142. What is the remainder when k is divided by f?
7
Suppose 3*o + 0*o = -60. Let l be 63/(-15) - 4/o. Calculate the remainder when 1/(-2)*(-62 + l) is divided by 18.
15
Let z = 2868 + -2824. Calculate the remainder when 25