
0
Suppose p = -4*p. Suppose p = -5*z - 0*z + 15. Suppose 2*t + 55 = -4*r + 197, z*t = -15. What is the remainder when r is divided by 20?
18
Let v(y) = -9*y - 1. Let x(z) = 2*z - 3. Let p be x(-2). Let k = p + 21. What is the remainder when k is divided by v(-1)?
6
Let m(q) = -q**2 + 5*q - 4. Suppose 2*t + 12 = 6*t. What is the remainder when 5 is divided by m(t)?
1
Suppose 0 = 5*l + 4 - 39. Let i(v) = v**3 - 6*v**2 - 6*v - 4. Let x be i(l). Suppose x = -f + 12. Calculate the remainder when 34 is divided by f.
7
Let n = 46 + 52. What is the remainder when n is divided by 10?
8
Let z = 671 + -516. What is the remainder when z is divided by 38?
3
Suppose 3 = w - 0*l - 4*l, 0 = 2*w - 3*l - 26. Calculate the remainder when w is divided by 17.
2
Let h = -25 + 30. Suppose -5*s = 2*t - 0*t - 44, -h*t = 3*s - 129. Calculate the remainder when 52 is divided by t.
25
Suppose -7*s + 2*s - 10 = 0. Suppose 0 = -2*u + 6, 2*u = -3*d - 0*u - 36. Let y = s - d. What is the remainder when 23 is divided by y?
11
Suppose 143 = 5*s - f + 502, -5*f = -4*s - 304. Let g = 244 + -361. Let u = s - g. What is the remainder when u is divided by 12?
10
Let t(d) = -d**3 + 6*d**2 + 8*d + 5. Calculate the remainder when 46 is divided by t(7).
10
Let r(x) = 3*x**2 - 10*x + 8. Let c = 18 - 13. Suppose 3*v - 67 = -c*t - 0*t, 3*v + 2*t - 79 = 0. Calculate the remainder when r(7) is divided by v.
27
Let o(c) = c**2 - 4*c + 3. Suppose 15 = -r + 4*r. Calculate the remainder when 38 is divided by o(r).
6
Let n = -282 + 525. Suppose -5*h - 15 = 0, -5*s - 5*h + 47 + n = 0. What is the remainder when s + (-5)/((-10)/6) is divided by 22?
20
Let j = 249 - 133. Suppose -j = -2*x - 34. Suppose 2*u = 4*c + 10, -2*u - 2*u + 85 = 5*c. Calculate the remainder when x is divided by u.
11
Suppose -25*m = -5*m - 200. Suppose 7*j - 8 = 5*j. What is the remainder when m is divided by j?
2
Suppose -48*d - 10 = -50*d. Suppose 0 = -4*t - 4*h + 80, d*t - 48 = 5*h + 32. What is the remainder when 71 is divided by t?
17
Let a(z) be the third derivative of 0 - 1/4*z**4 + z**2 + 0*z - z**3 + 1/20*z**5. Calculate the remainder when a(5) is divided by 10.
9
Let u = -209 - -269. What is the remainder when u is divided by 39?
21
Let g(s) = 42*s + 6. Let r be g(2). Suppose -4*n - l + r = 0, -n - n + 4*l = -54. What is the remainder when n is divided by 6?
5
Let d(o) = o**3 + 1. Let h be d(2). Let j = 12 - h. Suppose -2*s - 4*g = -122, -j*s + 3*g = 7*g - 175. Calculate the remainder when s is divided by 14.
11
Suppose -9 = 4*w - 3*d - 83, -5*w - d + 102 = 0. Let q = w + -6. Suppose -q - 7 = -7*o. Calculate the remainder when 10 is divided by o.
1
Suppose 0 = -4*p + 5*j + 30, -3*j + 2*j + 18 = 4*p. Suppose 143 = 3*o - y - 3*y, p*y = 2*o - 107. Calculate the remainder when 121 is divided by o.
39
Suppose -3*d + 243 = 4*j - 0*d, 3*d = -5*j + 303. What is the remainder when j is divided by 23?
14
Suppose 45*p + 162 = 63*p. What is the remainder when 98 is divided by p?
8
Calculate the remainder when 270 is divided by 478/5 - 7/(-5).
76
Let b(z) = -z**2 - 16*z + 79. Calculate the remainder when b(-10) is divided by 20.
19
Let t(o) = -o**3 + 10*o**2 + 8*o + 13. Calculate the remainder when t(10) is divided by (36/(-15))/(12/(-80)).
13
Let r = 30 - 17. Let a = 52 - r. Calculate the remainder when a is divided by 6.
3
Suppose 18 = m + 5*s, 0 = m - 4*s - 4 - 5. Calculate the remainder when 203 is divided by m.
8
Let y(x) = x**2 - 3*x + 11. Let k be 3*(-1)/(-3) - -2. Suppose k*v - 15 = 3. Calculate the remainder when y(0) is divided by v.
5
Let n(q) = q**3 - 5*q**2 - 5*q - 1. Let s(u) = u + 7. Calculate the remainder when n(7) is divided by s(14).
20
Let j = 2244 + -2020. Calculate the remainder when j is divided by 114.
110
Let n = 33 - 75. What is the remainder when (62/12)/((-7)/n) is divided by 16?
15
Let t = 88 - 2. Calculate the remainder when t is divided by 22.
20
Let s be (92/(-6))/((-16)/24). Suppose -122 = -5*z + s. Calculate the remainder when 114 is divided by z.
27
Suppose -416 = 19*j - 3551. What is the remainder when j is divided by 12?
9
Suppose 0*b - 5*b = 4*c - 11, -2*c + 2*b + 28 = 0. Let n = 73 - 38. Calculate the remainder when n is divided by c.
8
Let i = -1 - -14. Suppose 8*c = 14*c - 606. What is the remainder when c is divided by i?
10
Suppose 2*b + 0*o - 4*o - 3670 = 0, -4*o + 5555 = 3*b. Suppose 135 - b = 5*q. Calculate the remainder when (3/(-9))/(2/q) is divided by 15.
12
Let v = 23 - -6. Suppose -399 = -56*g + 49*g. Calculate the remainder when g is divided by v.
28
Let z = 72 + -58. What is the remainder when 109 is divided by z?
11
Suppose -680*p + 48 = -676*p + 2*c, 0 = -c - 4. Suppose -a = -0*a - 37. What is the remainder when a is divided by p?
9
Let q be (4/(-5))/((-2)/10). Let r(d) = 17 + 2*d - q - 2 - 3. Calculate the remainder when 42 is divided by r(7).
20
Let v = 42 + -40. Suppose -5*t - 185 = -v*u - 3*u, -3*u + t + 103 = 0. What is the remainder when u is divided by 4?
1
Let n = 300 - 270. Calculate the remainder when 212 is divided by n.
2
Let i(y) = -y**3 - 12*y**2 + 21*y + 16. Calculate the remainder when i(-14) is divided by 13.
10
Suppose -q - 4*p = -107, -p + 270 = 3*q - 6*p. Calculate the remainder when q is divided by 6.
5
What is the remainder when 93 is divided by (3/(1 - -5))/(2/128)?
29
Suppose 0 = -10*o + 8*o + 10. Calculate the remainder when o is divided by 3.
2
Suppose 16*k - 16 = d + 11*k, d + 3*k = 24. What is the remainder when 330 is divided by d?
6
Suppose 4*q + 72 = -0*q. Let d = 60 + -46. What is the remainder when (-4)/q + (-1115)/(-45) is divided by d?
11
Suppose -20*t + 3291 + 5169 = 0. Calculate the remainder when t is divided by 139.
6
Calculate the remainder when (4 + -7)*7/((-84)/200) is divided by 24.
2
Let i = -9 + 10. Suppose -3*s = -2 - i. What is the remainder when s/(-3) + 1400/24 is divided by 15?
13
Let d = 859 + 18. What is the remainder when d is divided by 147?
142
Calculate the remainder when 112 is divided by ((-102)/(-18))/((-4)/(-12)).
10
Let y(a) = a**3 - 5*a**2 + 6. Let b be y(5). Suppose 2*i - 22 - b = 0. Let o = -26 + 66. Calculate the remainder when o is divided by i.
12
Let b = 6031 + -4274. Calculate the remainder when b is divided by 40.
37
Let i be (-4)/22 - 725/(-55). Suppose -3*q - d = -22, 5*d + i = 2*q - 30. Calculate the remainder when 34 is divided by q.
7
Let f = -1 - -5. What is the remainder when 3 + -1 - 4/((-40)/30)*2 is divided by f?
0
Calculate the remainder when 130 is divided by -22*18/(-48)*4.
31
Let u(j) = -9*j + 13. Let i be u(-2). Let k(l) = l**3 - 2*l**2 + 2. Let n be k(-2). Let v = n + i. What is the remainder when 48 is divided by v?
14
Suppose -4*c - 5*v - 200 = -629, -106 = -c - v. What is the remainder when c is divided by 10?
1
Suppose -9 = 3*k + 4*m, 5*k - m - 2*m + 44 = 0. Calculate the remainder when 1/(k + 4 + 4) is divided by 1.
0
Suppose -b + 5*a = -0*b - 35, b = 4*a + 40. What is the remainder when 115 is divided by b?
55
Let m = 439 - 425. What is the remainder when 27 is divided by m?
13
Let q be (5 + -4 + (-2)/3)*6. Suppose 0 = q*t + 4*y - 94, 2*y + 0*y + 6 = 0. What is the remainder when t is divided by 18?
17
Suppose -5*y + 7 = -3. What is the remainder when (4/y)/(2/33) is divided by 7?
5
Suppose -24*k - 234 = -27*k. Let h(p) = -34*p. Let v be h(-1). Let o = -14 + v. Calculate the remainder when k is divided by o.
18
What is the remainder when 74 is divided by (1 - (6 - 7)) + 37?
35
Let c = 302 - 287. Calculate the remainder when 74 is divided by c.
14
Let n = 909 + -745. Calculate the remainder when n is divided by 21.
17
Suppose 73*h = p + 78*h + 4, -1 = h. What is the remainder when 291 is divided by p?
0
Let r(y) = 0 + 3*y**3 + 6*y**2 + 5 - 4*y**3. Suppose 0 = 21*x - 18*x - 18. What is the remainder when 12 is divided by r(x)?
2
Suppose 4*p - 1176 = -2*n + 1390, -p = -3*n - 624. What is the remainder when p is divided by 92?
87
Suppose 756 = 5*d - 5*k - 1059, 3*d = -2*k + 1099. What is the remainder when d is divided by 75?
65
Suppose 0 = -12*g + 13*g - 2. Suppose 26 = g*y - 24. What is the remainder when y is divided by 13?
12
Let d(f) = f**3 - 7*f**2 + 6*f + 14. Let u be d(6). Let k(x) = 2*x + 1. What is the remainder when 114 is divided by k(u)?
27
Suppose -4*z + 493 = -d, -4*