the remainder when 69 is divided by 5/((-10)/(-14)) - 1?
3
Let v = 568 + -515. What is the remainder when v is divided by 34?
19
Suppose -6*z + 7*z = 13*z. Suppose z = -w + 6 + 7. Calculate the remainder when w is divided by 5.
3
Let z(c) = -8*c + 75. What is the remainder when z(3) is divided by 30?
21
Suppose 0 = 4*g + 2*f - 272, 6*g - 5*g - f = 62. Suppose 3*v - 76 = -v. Calculate the remainder when g is divided by v.
9
Suppose 3*g = -3*l + 27, -14 = -g + 3*l + 7. Suppose g*z - 11*z - 187 = 0. What is the remainder when z is divided by 47?
46
Let h(n) = n**2 + 4*n - 22. What is the remainder when h(-9) is divided by 15?
8
What is the remainder when ((24/18)/(-1))/(2/(-279)) is divided by 21?
18
Let f = -22 + 63. What is the remainder when 118 is divided by f?
36
What is the remainder when 43 is divided by (-1)/5 + 3/((-45)/(-303))?
3
What is the remainder when (-6 - 126/(-35))*-635 is divided by 25?
24
Suppose -291 = -4*n + 165. Suppose -3*t + 146 = -58. Suppose -t - 48 = -4*u. Calculate the remainder when n is divided by u.
27
Let c(o) = 2*o**2 - 4*o + 2. Let h be c(2). Suppose -j + 90 = h*j. Suppose -5*z - j = -b, 5*b + 0*z + z = 98. Calculate the remainder when 37 is divided by b.
17
Let s(l) = l**3 - 6*l**2 + 8*l + 11. Calculate the remainder when s(7) is divided by 8.
4
Let j = 105 - 27. Suppose 3*r - 23 = 7. Let i = r + 10. What is the remainder when j is divided by i?
18
What is the remainder when 4/(-6) + 3576/18 is divided by 34?
28
Let v be (-21)/(-1)*(1 - 2). Let m = v + 42. Suppose -p - m = -4*g - 2*p, 4*g + 4*p - 12 = 0. What is the remainder when 17 is divided by g?
5
Let r = -55 - -135. Suppose -4*f = -3*s - 29, -2*f - 5*s + r = 3*f. What is the remainder when 32 is divided by f?
10
Let z be (-189)/5 + (3 - 48/15). Calculate the remainder when 56 is divided by z/(0 - (-8)/(-4)).
18
Let f(g) = g**3 + g**2 - 3*g - 1. Let j be f(2). Suppose 8 = h + m, -2*m + 4*m - 55 = -j*h. Calculate the remainder when 35 is divided by h.
9
Suppose 0 = -3*w + m + 329, -w - 2*m + 64 = -41. What is the remainder when 433 is divided by w?
106
Suppose 0 = 3*a + 4 + 14. Let o be -9*3/a*-2. What is the remainder when 25 is divided by ((-42)/8)/(o/24)?
11
Suppose -5*m = 3*f - 205, -5*m + 5*f + 205 = f. What is the remainder when 83 is divided by m?
1
Suppose -9*s - 252 = -2*s. Let d = s - -53. Suppose 4*z - 505 = -z. What is the remainder when z is divided by d?
16
Suppose 100 = 2*b + 3*k, 2*k - 17 = -b + 33. What is the remainder when 148 is divided by b?
48
Let i = -102 + 65. Let f be 475/(-525) + (-2)/21. What is the remainder when (2 - i)/(2 + f) is divided by 20?
19
Let g = 7 + -6. Calculate the remainder when g is divided by (128/(-14))/(-16) - (-6)/14.
0
Let o be 8/(-3)*(-3)/(-2). Calculate the remainder when o/(-8) + 1/(-2) + 63 is divided by 16.
15
Suppose 3*m + 194 = 4*l, -l + 5*m = -3*l + 110. Suppose -5*g - 10 = -6*g. Suppose -37 = -g*s + 103. Calculate the remainder when l is divided by s.
8
Suppose -4*c - 17*x = -18*x - 858, -5*c + 1064 = 3*x. Calculate the remainder when c is divided by 24.
22
Calculate the remainder when 132 is divided by -6 + (1 - 4 - -48) + -5.
30
Let l(s) = -s + 38. Let x = 158 - 74. Suppose w + w - x = 0. Calculate the remainder when w is divided by l(16).
20
Suppose 6*j + 9 = 3*j. What is the remainder when 74 is divided by -19*3/(j/1)?
17
Suppose -14*i - 15*i = -33234. What is the remainder when i is divided by 31?
30
Suppose y - 59 = -5*i, -4*i = -5*y - 3*i + 191. Calculate the remainder when 190 is divided by y.
34
Suppose -6*y = -7 - 173. What is the remainder when 239 is divided by y?
29
Suppose -3*p + 6*m - 11*m = -50, -4*p + 2*m + 58 = 0. What is the remainder when p is divided by 1?
0
Let w be ((-50)/1)/2*1. Let y = -5 - w. What is the remainder when 6 is divided by 10/(-4)*(-24)/y?
0
Let w = 12 - 4. Suppose 5*d = -3*v + 4 + w, -3*d - 2*v + 7 = 0. What is the remainder when 21 is divided by -6*(2 - 10/d)?
5
Let t(h) = 4*h**3 + 31*h**2 + 17*h + 13. Calculate the remainder when t(-7) is divided by 22.
19
Let o(w) = w - 25*w**2 + w + w**3 - 53 + 19 + 11. Calculate the remainder when 77 is divided by o(25).
23
Let c = 357 + -216. What is the remainder when c is divided by (12*(-14)/(-112))/(3/58)?
25
Suppose 23*c - 845 = -86. Calculate the remainder when 340 is divided by c.
10
Let l = 11 + -2. What is the remainder when (32/(-6))/(((-6)/(-27))/(-1)) is divided by l?
6
Suppose 4*s + 80 = -4*s. Let f = 1 - s. Calculate the remainder when 65 is divided by f.
10
Suppose 0 = v - 5 - 1. Let a be (-4)/6 + 4/v. Suppose 26 = 2*p - a*p. Calculate the remainder when 35 is divided by p.
9
Let i(b) = 2*b**2 + 17*b + 12. Let d be i(-8). Let j = -1 - -4. What is the remainder when (-4)/(-1 + d/12) is divided by j?
0
Calculate the remainder when 99 is divided by 25*(0 + 3)*(-5)/(-15).
24
Suppose -2*g - 2*x + 88 = 0, 0 = -3*g - 2*x + 41 + 93. Suppose g = 9*a - 7*a. Calculate the remainder when a is divided by 12.
11
Suppose 0 = -64*x + 81 + 623. What is the remainder when 39 is divided by x?
6
Let i = 47 - 24. Suppose 5*c + 14 + 9 = y, -i = -y + c. What is the remainder when y is divided by 9?
5
Calculate the remainder when (-7 + 3 + -6)/(8/(-156)) is divided by 66.
63
Let u(q) = 3*q**3 - 11*q**2 + 28*q - 1. What is the remainder when 217 is divided by u(3)?
22
Suppose -2*h + 2*q - 134 = -0*h, -h + 3*q - 77 = 0. Let p = h - -104. What is the remainder when p is divided by 24?
18
Let t be (45/(-6))/((-24)/16). Calculate the remainder when 94 is divided by ((-48)/t)/(36/(-120)).
30
Suppose -2*p - 4*l + 266 + 4 = 0, -3*l + 6 = 0. Suppose 2*g + 2*k - 454 = -2*g, -4*k = g - p. Calculate the remainder when g is divided by 28.
27
Suppose -2*l + 7 = a, -a = -4*l + a + 18. Suppose -d + 40 = l*d. Calculate the remainder when (1/(-4))/(17/(-1564)) is divided by d.
7
Let v(s) = 5*s**2 + 9*s + 17. Let n(g) = -4*g**2 - 9*g - 16. Let b(k) = 7*n(k) + 6*v(k). What is the remainder when b(7) is divided by 13?
12
Let p(h) = 10*h**2 + h + 5. Calculate the remainder when p(4) is divided by (-9)/108*-9*(-408)/(-18).
16
Let u = 38 - 95. Let l = 73 + u. What is the remainder when l is divided by 8?
0
Suppose -45*c = -41*c - 336. Calculate the remainder when c is divided by 12.
0
Suppose 484 = 5*d + 3*m, 2*d - 10*m + 5*m - 206 = 0. Let u = d + -43. Let j(c) = -c**3 - 7*c**2 + 9*c - 67. Calculate the remainder when u is divided by j(-9).
13
Let d(s) = s**2 + 42*s + 3. Calculate the remainder when 279 is divided by d(2).
6
What is the remainder when ((-3)/(-4))/((-24)/(-2048)) is divided by 48?
16
Let v = -794 + 1101. What is the remainder when v is divided by 52?
47
Let w = 150 + -103. What is the remainder when w is divided by 6/45 + (-759)/(-45)?
13
Suppose -494 = -3*l - 437. What is the remainder when l is divided by (15 - 4) + (-1)/1?
9
Calculate the remainder when (-3733)/(-11) + 44/(-121) is divided by 49.
45
Suppose -2*f = -3*f + 69. Suppose -3*z = -0*z - f. Let t = -18 + z. Calculate the remainder when 12 is divided by t.
2
Let q = -73 + 71. What is the remainder when 21 is divided by q/(-4)*2 - (-130)/13?
10
Let n = -2535 + 2672. What is the remainder when n is divided by 30 + (2 - -2)/(-2)?
25
Let j(w) be the third derivative of 5*w**4/12 - 4*w**3/3 - w**2. Let u be j(7). Suppose 4*s - u + 6 = 0. What is the remainder when 25 is divided by s?
11
Suppose 3*p - 2*g - 393 = 0, -6*p + 7*p + 5*g = 148. What is the remainder when p is divided by 17?
14
Let f(m) = -m**3 + 8*m**2 - 6*m + 5. Let d be f(7). Suppose 3*n - j + d = -10, n + 4*j = 10. Let t = 25 + n. What is the remainder when 56 is divided by t?
18
Let z(q) = -q**3 + 7*q**2 + 6*q - 4. Let l be 4/14 + 360/63. Let n be z(l). Let b = n - 45. Calculate the remainder when b is divided by 13.
10
Let i(m) = -3*m**2 + 5*m + 6. Let j be i(-1). Calculate the remainder when 144 is divided by (j/4)/((-5)/490).
46
Suppose 0 = -8*o + 310 - 230. What is the remainder when 27 is divided by o?
7
Let m = 850 - 834. Calculate the remainder when 58 is divided by m.
10
What is the remainder when 250 is divided by 320/5 - -1 - (-4 - 3)?
34
Let r = 1702 - 1608. Calculate the remainder when 363 is divided by r.
81
Suppose 5*a + 2*a = 161. Suppose -973 = -2*q - 837. Calculate the remainder when q is divided