What is the remainder when 72 is divided by m?
12
Let n(p) = -4*p - 34. Let r be n(-9). Suppose -r*s + 74 - 4 = 0. What is the remainder when s is divided by 13?
9
Let b = -10829 - -11126. Calculate the remainder when 905 is divided by b.
14
Suppose 4*c - 1134 = -355 + 1177. Calculate the remainder when c is divided by 462.
27
Let q(k) = 158*k**2 - 12*k - 13. What is the remainder when q(-1) is divided by 1?
0
What is the remainder when 2/(-10 - (-5 + -4))*(-1077)/6 is divided by 121?
117
Let b = -80 - -80. Suppose 0 = 5*f - 54 + 4. Calculate the remainder when 174/2 - ((0 - b) + 0) is divided by f.
7
Suppose -42 = 6*g - 9*g. Calculate the remainder when 4 + 1/1*90 is divided by g.
10
Let s be (4 - -23)/((-6)/(-20)). Let g = 99 - s. Suppose 4*f + 4*z = 24, -g = -3*f + 3*z + 39. Calculate the remainder when 46 is divided by f.
2
Suppose -10*d = -103353 + 69503. What is the remainder when d is divided by 30?
25
Suppose 88*t - 93*t = 0, -t = -5*q + 215. Suppose -89*v + 90*v = 83. What is the remainder when v is divided by q?
40
Suppose a = 6*a - 4*y - 280, -3*y + 112 = 2*a. Suppose -p + 3*p = v + a, -4*p + 122 = 3*v. What is the remainder when p is divided by 17?
12
What is the remainder when 948 is divided by ((-64)/28)/(7*(-7)/686)?
20
Suppose 475 = 23*y + 84. Suppose 24*t = y*t + 154. Calculate the remainder when t is divided by 8.
6
Suppose -5*t = 2*h - 63 - 8, 0 = 4*h - 5*t - 97. Let k(u) be the first derivative of -7*u**2/2 - 2*u - 1. Calculate the remainder when k(-8) is divided by h.
26
Let h(t) = -6*t**2 - 90*t + 11. Let w(k) = 8*k - 119. Let n be w(13). What is the remainder when 29 is divided by h(n)?
7
Let u be (18/(-8))/((-1)/52). Let y = u - 82. Calculate the remainder when 69 is divided by y.
34
Suppose 188 = -2*s - 3*s + 6*s. What is the remainder when 580 is divided by s?
16
Let d(a) = 27*a**2 - 178*a - 10. Let z be d(7). Let i = 6 - -23. Suppose -i = -k + z. Calculate the remainder when k is divided by 7.
5
Let x be (-7)/(0 + -3 + 2). Suppose -2*n + 5 = -x. Suppose -n*p = -221 + 65. Calculate the remainder when 259 is divided by p.
25
Let w = 265 - 326. Let p = w - -64. What is the remainder when p is divided by 2?
1
Let y = 8826 + -8813. Let b(v) = 14*v**3 - 3*v**2 + v - 2. Calculate the remainder when b(2) is divided by y.
9
Calculate the remainder when 2133 is divided by ((-32)/15 - -2) + ((-1456)/(-30))/4.
9
Let p = 2454 + -2384. Calculate the remainder when 79 is divided by p.
9
Let m(u) = 16*u + 20. Let h be m(-1). Suppose -h*k + 10*k - 1182 = 0. Calculate the remainder when k is divided by 25.
22
Suppose -214 - 1256 = 3*r. Let m = r - -509. Calculate the remainder when 206 is divided by m.
16
What is the remainder when 886 is divided by -4 + 88/42 - -2 - 7130/(-105)?
2
Let w(q) = 63*q - 11941. Calculate the remainder when 11625 is divided by w(190).
25
Suppose 0*a + 3*a - 4*s + 2 = 0, s + 4 = 3*a. Suppose 0 = t + 4*o - 1, o - 4*o - 35 = -a*t. What is the remainder when 23 is divided by t?
10
Suppose 185*y - 182*y + 3 = 0, 4*q = -2*y + 222. Calculate the remainder when 363 is divided by q.
27
Let z = -2309 + 2355. What is the remainder when 141 is divided by z?
3
Let m = -35 + -4. Let n = -166 - -214. Calculate the remainder when n is divided by m/(-4) + (-6)/(-24).
8
Suppose 5*r - 3*c = -4*c + 999, 2*c + 2 = 0. Calculate the remainder when 27/6*r/12 is divided by 11.
9
Suppose 796*o - 792*o - 20 = 0. Calculate the remainder when 164 is divided by 267/o - 231/(-385).
2
Suppose 4487 - 15799 = -28*a. Calculate the remainder when a is divided by 32.
20
Suppose -3*f - 2*a + 138 = 0, -f = 2*f + 5*a - 120. Calculate the remainder when 1097 is divided by f.
47
Let k(r) = -r**3 + 9*r**2 - 10*r - 8. Let g = 94 + -87. What is the remainder when 66 is divided by k(g)?
6
Let f = 1582 + -926. What is the remainder when f is divided by 1 + -1 - (-4 - (4 - -6))?
12
Suppose 2*t - c - 262 = 3*t, -5*c = -15. Let w = -234 - t. What is the remainder when 153 is divided by w?
29
Suppose -4*h + 19 = 39, -2*w + 5*h = -5437. What is the remainder when w is divided by 1351?
4
Let g = 12587 - 12570. Calculate the remainder when 328 is divided by g.
5
Suppose 243*q = 239*q - j + 618, 5*q - 774 = -2*j. What is the remainder when 605 is divided by q?
143
Suppose 1339 = 11*n - 707. Calculate the remainder when n is divided by 86.
14
Suppose 21*a - 845 = -6*a - 38*a. What is the remainder when 194 is divided by a?
12
Let m(x) = 0*x**2 + x**3 - 5 - 8 + 16*x - 8*x**2. Calculate the remainder when 39 is divided by m(6).
6
Suppose 132*r = 135*r - 51. Calculate the remainder when ((-54)/7)/((-118)/28 + 4) is divided by r.
2
Calculate the remainder when (-1)/(10/15)*(-3120)/18 is divided by 108.
44
Suppose 7 = -4*g + 35. Suppose -10*h + 8*h = 266. Let o = -121 - h. What is the remainder when o is divided by g?
5
Let b = -226583 - -226599. Calculate the remainder when (-2)/(-6) + 1108/6 is divided by b.
9
Suppose -7700 = 33*i - 58*i. What is the remainder when i is divided by 49?
14
Let p(q) = -500*q - 2510. Let r be p(-5). Let w be (1 - (1 - -2)) + 57. Calculate the remainder when (-22)/w - (2 - (-264)/r) is divided by 7.
3
Let a = 755 - 668. Let y = 329 + -226. Let d = y - a. Calculate the remainder when 51 is divided by d.
3
Let g = -47 - -73. Suppose 1 = 2*i + 5*d - 3, -i = 4*d + 1. What is the remainder when g is divided by i?
5
Suppose -y + 19 = -68*c + 63*c, -4*y - 2*c = -120. What is the remainder when 1475 is divided by y?
25
Let w(d) = -4 + 9 + 5 + 0*d + d. Suppose 20 = 2*x + 2*y, 2*y = 6*y - 16. Calculate the remainder when 31 is divided by w(x).
15
Let s(i) = i**2 - 10*i - 42. Let q(t) = 2*t + 9. Let f be q(-6). Calculate the remainder when s(17) is divided by ((4 + f)*13)/(2/4).
25
Calculate the remainder when 468 is divided by (-602)/(-25) + 400/(-5000).
12
Suppose 163 = 4*m - 189. Let k = -77763 + 78107. Calculate the remainder when k is divided by m.
80
Let d(a) = a**2 - a + 13. Let h be 10/(-8)*-4 - 5. Suppose -138 = -19*g - 4*g. Calculate the remainder when d(h) is divided by g.
1
Suppose 7*k = 6*k + 16. Let i = 19 - k. Suppose 4*w = -6*h + i*h + 52, 3*w - 39 = -2*h. What is the remainder when 38 is divided by w?
12
Suppose -73*p + 64575 - 17907 = -165762. What is the remainder when 2919 is divided by p?
9
Suppose 0 = -7*g + 17*g - 1550. Let x = g - 73. What is the remainder when 176 is divided by x?
12
Let u(j) = 2*j**2 - 27*j - 53. Suppose 25 - 105 = -5*w. Suppose 3*f + 4*p - 50 = 0, 4*p + 30 = 5*f - 0*f. Calculate the remainder when u(w) is divided by f.
7
Suppose -22*h + 6295 = 2269. What is the remainder when h is divided by 34?
13
Suppose -38*j + 43*j - 2215 = -5*d, 0 = -5*j + 2*d + 2215. Calculate the remainder when j is divided by 59.
30
Suppose -3*u + 188 = -u - 4*w, -7*w = -5*u + 461. Calculate the remainder when 252 is divided by u.
76
Suppose -t + 12 = 3*f, 0 = t - 0 + 3. Let b(v) = 1883*v - 31954. What is the remainder when b(17) is divided by f?
2
Suppose 0 = -2*a + 26, 13 = -5*v + 5*a + 223. Let h(w) = w - 4. Let y be h(6). Suppose 0 = 6*x - y*x - 116. What is the remainder when v is divided by x?
26
Suppose 54 = 3*z + 3*c, -4*z + 5*c + 23 + 4 = 0. Let k be (1/(-1))/(1/133). Calculate the remainder when z is divided by (-1 + 0)/(19/k).
6
Let k(h) = 54*h - 6. Let q = -159 + 161. What is the remainder when k(q) is divided by 52?
50
Let n(p) = 4*p - 366. Calculate the remainder when 1063 is divided by n(112).
79
Calculate the remainder when 2506 is divided by 831/((27/(-45)*5)/(-3)).
13
Suppose 0 = -r - 0*r + 4*v - 4, 0 = 5*r + 2*v - 24. What is the remainder when ((-45)/(-36))/((-10)/(-592)) is divided by (57/(-6))/((-2)/r)?
17
Suppose -4*o + o = -39. Let n(q) = -q**3 + 11*q**2 + 13*q - 6. Let l be n(12). Calculate the remainder when ((-282)/l)/(-2 + 1) is divided by o.
8
Let x be 6/14 - 515/(-7). What is the remainder when 37 is divided by (x/14 + 0/(-3))*7?
0
Let p(a) = a**3 - 7*a**2 + 11*a - 11. Let z be (9/4)/(3/12). What is the remainder when p(z) is divided by (-18 - -6)/(-12)*23?
20
Suppose -r + 526 = k, -45*k + 49*k - 5*r = 2131. What is the remainder when k is divided by 166?
31
Suppose -22 = -3*u - 2*x, u + 5*x - 19 = -16. Let s be 1 + 0 - (2 - 2). Calculate the remainder when -2 + -1 - (-32)/s is divided by u.
5
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