4*m + 12*m - 7*m. What is the remainder when 4/((-4)/24*-3) is divided by l(5)?
3
Suppose 70*c + 3088 = 86*c. What is the remainder when c is divided by 22?
17
Let q be (-18)/(-12) - 7/(-2). Suppose -3*f - 5*r + q = 12, 3*r = 2*f - 27. Suppose -14 - 10 = -f*y. What is the remainder when 5 is divided by y?
1
Let b = -620 + 312. Let c = b + 432. What is the remainder when c is divided by 25?
24
Let y be (-4)/(-6) + 2/6. Let w = y + 4. Let b = 7 - w. What is the remainder when 4 is divided by b?
0
Suppose -x + 2*x - 119 = -o, 496 = 4*x - o. Calculate the remainder when x is divided by 62.
61
Suppose -3*l + 2 = n + 7, 3*n + 4*l + 5 = 0. Let z = 3 + n. Suppose z*q = 5*u + 23, -6 = 5*q + 3*u - 44. Calculate the remainder when 13 is divided by q.
6
Suppose 588*c = 590*c - 262. What is the remainder when c is divided by 6?
5
Let a = -474 - -563. Calculate the remainder when a is divided by 31.
27
Suppose -4 = 2*m + 2*c, -9 = 5*m + c + 5. What is the remainder when 41 - 3 - (-1 + 3) is divided by (-26)/(3/m - 1)?
10
Suppose -2066 = 4*b - 2*g, 0*g = 2*b + 3*g + 1013. What is the remainder when 110 is divided by b/(-14) + (-6)/(-21)?
36
Let h = -90 + 97. Suppose 5*w = -0*w + 15. What is the remainder when h is divided by w?
1
Let y(s) = s + 9. Let p be y(-9). Suppose p*n + 6*n = 114. What is the remainder when n is divided by 5?
4
Let p = 355 + -304. What is the remainder when p is divided by 4?
3
Suppose -8 = -2*n + 4. Suppose 0 = 3*t - 6, n*t + 173 = 3*r + t. Calculate the remainder when r is divided by 21.
19
Suppose 2*v + v = 81. Let n = -11 + v. Let j = -101 - -107. What is the remainder when n is divided by j?
4
Suppose 3*w - 38*w = -385. What is the remainder when 490 is divided by w?
6
Let a = -45 + 101. Calculate the remainder when a is divided by 29.
27
Let s(t) be the second derivative of -t**5/20 + 7*t**4/12 + 2*t**3 - 9*t**2/2 + 3*t. Calculate the remainder when s(8) is divided by 9.
5
What is the remainder when (-2447)/(-4) - 19/(-76) is divided by 15?
12
Let p(v) = -4*v - 16. Let s be p(-7). Suppose -4*u + s = -u, -r = -2*u + 6. Suppose -3*i - r*i = -20. What is the remainder when 4 is divided by i?
0
Let z = 36 + -131. What is the remainder when 762/8 + 2/(-8) is divided by z/(-4) + (-1)/(-4)?
23
Let g(p) = -152*p**2 - 8*p + 8. Let h be g(1). What is the remainder when -1 + 1/2 - h/16 is divided by 3?
0
Suppose -4*d + 4 = -6*d. Let o = d - -4. Suppose -2*x = o*x - 244. Calculate the remainder when x is divided by 16.
13
Suppose -6*b = -2*b - 156. Suppose -104 = -3*m + 19. Let f = 51 - m. Calculate the remainder when b is divided by f.
9
Let k = -9 + 15. Suppose 0 = 11*n - 602 - 69. Calculate the remainder when n is divided by 3/(0 + k/32).
13
Suppose 5*j - 4*o - 109 - 47 = 0, 160 = 5*j - 5*o. Let c = 291 - 285. What is the remainder when j is divided by c?
4
Suppose 4*l + 3*q = -q + 884, -2*q = -2. Suppose 6*o = 17*o - l. What is the remainder when 97 is divided by o?
17
Let d = 464 + -397. What is the remainder when d is divided by 17?
16
Suppose 64*j - 380 = 60*j. Calculate the remainder when 182 is divided by j.
87
Let p(t) = -t + 21. Let k = 22 - 5. What is the remainder when k is divided by p(16)?
2
Let k be 5/4 - (-1533)/28. Let m = k + -34. Calculate the remainder when 106 is divided by m.
18
Let x(v) = 18*v**2 - 15*v - 31. Let w = -20 + 45. Calculate the remainder when x(-2) is divided by w.
21
Suppose 438 + 912 = 3*t. Let k be t/6*(-3)/(-9). Let c = k - 22. What is the remainder when 8 is divided by c?
2
Suppose -29*s + 59 = -57. What is the remainder when 29 is divided by s?
1
Let p be 2/11 + 2865/33. Suppose 4*l + 2*q - 105 = -39, 0 = 5*l - 2*q - p. Let u = -1 + l. Calculate the remainder when 63 is divided by u.
15
Suppose 735 = 7*w + 14*w. Let a = -12 - -32. Suppose -2*p = -4*f + 28, -4*f + 5*p = p - a. What is the remainder when w is divided by f?
8
Suppose 13*j = 52 + 156. Calculate the remainder when 121 is divided by j.
9
Let v = -252 + 288. Calculate the remainder when 323 is divided by v.
35
Let h(r) = -6*r**2 + 200*r + 23. Calculate the remainder when 708 is divided by h(33).
85
Let x = -2 + 4. Let a be (-1)/(-4) + (-2)/8. Calculate the remainder when x is divided by 4*3/6 + a.
0
Let r(x) = x**2 + 3*x. Let i = 92 - 49. Let q = -42 + i. Calculate the remainder when r(-4) is divided by q.
0
Suppose -2*r = -4*m + 30, 30 = -0*m + m - 5*r. Suppose 2*t + v = 21, -m*t = -0*v + 3*v - 54. What is the remainder when 44 is divided by t?
8
What is the remainder when 621 is divided by (-600)/(-23) + (-22)/253?
23
Let f be 8/5 + (-2)/(-5). Suppose 2*b + 20 = 5*q + 10, 3*q = 6. Suppose -3*d - f*d + 65 = b. Calculate the remainder when 36 is divided by d.
10
Let i(n) = n**3 - 6*n**2 + 2*n - 9. Let g be i(6). Suppose -g*y = 3*l + 180, 2*y = l + 3*l + 210. Calculate the remainder when 32 is divided by 2/5 + (-913)/l.
15
Let y = -4431 + 4436. Suppose -5*z = -g - 0*g - 38, 36 = 3*z - 5*g. Calculate the remainder when z is divided by y.
2
Suppose -2*c + 36 = -2*d, 8*c - d - 110 = 3*c. Suppose -3*f + 4*j = 2*f - 212, -96 = -2*f - 4*j. What is the remainder when f is divided by c?
21
Suppose -282 = -5*f - 207. Calculate the remainder when 629 is divided by f.
14
Let k(c) = c**3 + 2*c**2 - 2*c + 2. Suppose 0 = -8*o - 0*o + 24. What is the remainder when k(o) is divided by 22?
19
What is the remainder when 190 is divided by -6 + (-116)/(-2) - 4?
46
Let p be -2*(3 + 22/(-4)). Suppose -26 + 391 = p*b. What is the remainder when b is divided by 38?
35
Let p = 2900 + -2873. What is the remainder when 134 is divided by p?
26
Let h = 20 + -8. Calculate the remainder when ((-186)/9)/(2/(-3)) - -3 is divided by h.
10
Let j = 1028 - 1017. Calculate the remainder when 48 is divided by j.
4
Suppose -27 = -3*c - 3*m, 5*c + 2*m - 6*m = 36. Suppose 3*g - c = 7*g, 2*i + 3*g - 222 = 0. Calculate the remainder when i is divided by 29.
27
Let j be (-2)/5 - (-27)/5. Suppose 0 = -j*l + 6*l - 5. What is the remainder when (-3)/(-6)*4*7 is divided by l?
4
Calculate the remainder when 99 is divided by ((-6)/(-15))/((-1)/(-85)).
31
Let f = 23 + -7. Suppose 4*m - f = 0, -3*x + 493 = 2*x + 2*m. Let h(c) = -c**3 + 5*c**2 + 4*c - 7. Calculate the remainder when x is divided by h(4).
22
Let a = 43 + -38. Suppose -2*k + 3 = 3*p - 13, -4*k - 12 = -a*p. Let d(z) = -z. What is the remainder when d(-5) is divided by p?
1
Let c = 8 + -1. Let a(w) = 2*w**2 - 6*w - 2. What is the remainder when a(c) is divided by (-11)/2*(-220)/110?
10
Suppose -80*g = -4*w - 83*g + 17, g = 2*w - 11. Let u(v) = 7*v - 3. Calculate the remainder when u(2) is divided by w.
1
Let y(x) = 14*x. What is the remainder when y(2) is divided by -4*((-2)/(-1) - (-143)/(-22))?
10
Suppose -85*q - 19911 + 220171 = 0. What is the remainder when q is divided by 6?
4
Let s(z) = z**3 - 10*z**2 - 11*z - 5. Let b be s(11). Let w(r) = 0*r**2 - r**2 - 12 - 8*r + 0*r. What is the remainder when w(b) is divided by 1?
0
Suppose 0 = 18*j - 1779 + 483. Suppose -6*i - 150 = -3*i. Let u = j + i. What is the remainder when u is divided by 6?
4
Let k(t) = -5*t - 46. Let o be k(-10). Suppose 2*r = -2*r. Suppose o*s + r*u = u + 21, -7 = -s + 2*u. Calculate the remainder when s is divided by 4.
1
Suppose -5*c + 35 = -270. Suppose 2*p - 6*v + 2*v - 38 = 0, -4*p = -v - 69. Calculate the remainder when c is divided by p.
10
Let w be (0 - 2)/(2/(-12)). Let d(h) = -h - 1. Calculate the remainder when 6/(-9) - (-248)/w is divided by d(-8).
6
Let m be (12*(-2)/20)/((-6)/10). Suppose 2*f = 4*p + 34, -5*f - m*p = -8*f + 51. What is the remainder when 31 is divided by f?
14
What is the remainder when (246/8)/(210/280) is divided by 22?
19
Suppose a + a = -5*y + 734, -2*y + 290 = 2*a. Suppose 54 = c - 3*k, -5*k = 2*c + c - y. Calculate the remainder when c is divided by 14.
9
Let i = -174 + 198. What is the remainder when 50 is divided by i?
2
Suppose -4*h - 5*r = 50, -4*r = 5*h - 3*r + 52. Let t = 7 - h. What is the remainder when t is divided by 10?
7
Suppose -111*s - 3757 + 10750 = 0. Calculate the remainder when 172 is divided by s.
46
Let h = 32 - 33. Let s = h - -18. Suppose l = 2, 0 = -3*c - l + 37 - 8. Calculate the remainder when s is divided by c.
8
Let c = -37 + 38. Suppose 0 = -3*g + 56 + c. Calculate the remainder when 29 is