-18)/78)?
12
Suppose 3*v + 3*x - 32 = 1, 5*v = 5*x + 65. Suppose -3*t - 8*g + 120 = -3*g, 80 = 2*t - 5*g. Calculate the remainder when t is divided by v.
4
Suppose f = -c + 7, -3*f + 11 = -0*c + 2*c. Suppose 378 = c*b - 3*b. Calculate the remainder when 104 is divided by b.
50
Suppose 2*x - 3*x + 18 = 0. Let v(z) be the first derivative of -5*z**2/2 - 3. What is the remainder when x is divided by v(-1)?
3
Let a = -37 - -52. What is the remainder when 6/1 + -3 + (-2 - -146) is divided by a?
12
Suppose 5*w - 4*y - 38 = 0, 4*w + w - 36 = 3*y. Suppose w*m - 15*m = -972. Calculate the remainder when m is divided by 28.
24
Suppose -4*b = 3*r - 12, -5*r = -2*b - 2*b + 12. Suppose 0 = -r*k + 5*k - 60. What is the remainder when 15 is divided by 1/(-2) + 54/k?
3
Suppose -c - 2*k + 50 + 40 = 0, k + 333 = 4*c. Suppose 0 = o + 4*v - 73 - c, 0 = -o + v + 157. What is the remainder when o is divided by 53?
51
Let p(r) = r**3 + 10*r**2 + 14*r + 5. Let z be p(-6). Suppose 26 = 2*n + 3*c, 5*c + z = -n + 6*n. What is the remainder when n is divided by 3?
1
Suppose 213 = 4*r - 75. Suppose 90 + r = 6*p. What is the remainder when 105 is divided by p?
24
Suppose 3 + 2 = d. Suppose 16*z = 19*z - 5*f - 84, -124 = -5*z + 3*f. Calculate the remainder when z is divided by d.
3
Suppose -2*p = -x - 2*x + 91, 28 = x - 3*p. Let n(j) = -1 - 6 + 8*j**2 + 6 + j. What is the remainder when x is divided by n(1)?
7
Let o be 11/3 - (4/(-3) + 1). Suppose 3*y = 5*b + 82, 71 = 3*y + o*b + 7. Calculate the remainder when y is divided by 7.
3
Suppose -b - s + 10 = -34, 4*b + 5*s = 177. Calculate the remainder when 137 is divided by b.
8
Suppose 4*t + 4*y = 20, -2*y + y + 41 = 5*t. Let m(w) = -33*w**2 + 2*w - 1. Let h be m(1). What is the remainder when -1 - (-1 + h + -3) is divided by t?
8
Suppose 0 = -22*n + 17*n + 4*s + 858, -528 = -3*n - 2*s. What is the remainder when n is divided by 38?
22
Suppose -4*n + 2*o + 2236 = 0, -3*o + 2216 = -39*n + 43*n. What is the remainder when n is divided by 40?
37
Let q(u) = 15*u - 37*u + 18*u - 1 + 3*u**2. What is the remainder when 96 is divided by q(3)?
12
Suppose -156 = -13*u + u. What is the remainder when 33 is divided by u*(-5)/(20/(-4))?
7
Suppose 15 - 2 = -13*b. What is the remainder when 67 is divided by (-20 - 3)/((b/1)/1)?
21
Suppose -3*b - 2*b = -10. Let n = 82 - 52. Suppose -b*x = -7*x + n. What is the remainder when x is divided by 3?
0
Let h(l) = l**3 - 6*l**2 + 6*l - 9. Let s be h(6). Let q(u) = 10*u + 10*u + 1 - s*u. What is the remainder when 28 is divided by q(-2)?
13
Let v = 99 - 66. What is the remainder when v is divided by 34/8 + 11/(-44)?
1
Suppose 769*i = 774*i - 95. Let l(p) = -p + 7. What is the remainder when i is divided by l(-5)?
7
Let c = -284 + 506. Calculate the remainder when c is divided by 16.
14
Suppose 0 = 5*y - 20 - 5, -3*p - 3*y + 330 = 0. Let o(x) = -x**2 + 2*x + 6. Let r be o(5). What is the remainder when p is divided by r*(-2)/((-2)/(-3))?
24
Let x be 15 - -23 - 4/(-6)*-3. Let a = x + -8. What is the remainder when 110 is divided by a?
26
Let m(d) = -5*d + 0*d + 23 + 10*d - 6*d. What is the remainder when m(8) is divided by 9?
6
Suppose -2*h - h = -84. Suppose 6*n - 1150 = -826. Calculate the remainder when n is divided by h.
26
Let q = 71 - -81. Suppose 112 = 8*w - q. What is the remainder when w is divided by 10?
3
Let v(i) = -i**3 - 5*i**2. Let l be v(-5). Let k = 4 + l. Suppose -5*a = 4*j - 143, -k*a - 15 = 2*j - 127. Calculate the remainder when a is divided by 14.
13
Let v be -33*(-6)/(-9)*(-12)/(-8). Let i = 2 - v. Calculate the remainder when 103 is divided by i.
33
Suppose -7*w + 563 = -193. Calculate the remainder when 317 is divided by w.
101
Let i(p) = -p**3 + 7*p**2 - 3*p + 1. Let d be i(4). Suppose 5*l - 6*f = -3*f + 221, d = l + 3*f. Calculate the remainder when l is divided by 16.
11
Let g(l) = 61*l - 148. Calculate the remainder when 136 is divided by g(3).
31
Suppose -24 = 4*y + 4*h + 32, -y + 4*h = 19. Let k = -11 - y. Suppose 4*l + 7 = 2*j - 33, k*j - 68 = -4*l. What is the remainder when 50 is divided by j?
14
Suppose -4*p + 7*p - 252 = 0. Suppose 3*s - p = s. Suppose c - 13 = -4*x + 27, 18 = 2*x + c. Calculate the remainder when s is divided by x.
9
Suppose 87*r = 949 + 3662. Calculate the remainder when r is divided by 14.
11
Let w(v) = 2*v**2 + 15*v - 3. Let q(t) = 2*t**2 + 15*t - 2. Let y(k) = -6*q(k) + 7*w(k). Calculate the remainder when 42 is divided by y(-9).
6
Let n = 994 - 579. Calculate the remainder when n is divided by 16.
15
Let y be -1 + (-79)/(-11) + 2/(-11). Suppose -y*c - 143 = -743. Calculate the remainder when c is divided by 17.
15
Suppose -50 = -5*a + h + 4*h, h = -5*a + 56. Suppose f = -3*p + a, 2*p - f + 1 = 5. Suppose -s + p = -1. What is the remainder when 15 is divided by s?
3
Let t(l) = -l**3 - 4*l**2 - 4*l - 1. Suppose i - 1 = -5. What is the remainder when 59 is divided by t(i)?
14
Let j(n) = n**3 - 11*n**2 + 18*n + 13. Calculate the remainder when 348 is divided by j(9).
10
Let j = 37 - -2. What is the remainder when 231 is divided by j?
36
Let k(q) = q**3 + 10*q**2 - 6*q - 29. Calculate the remainder when k(-8) is divided by 23.
9
Calculate the remainder when 80 is divided by 32 - (-3 - (-2 + -6)).
26
Suppose -6 = -3*j - 33. Calculate the remainder when j/36 + 85/4 is divided by (17 + -16)*11*1.
10
Suppose k - 3*w + 2*w = 79, 233 = 3*k - 2*w. What is the remainder when k is divided by 55?
20
Let z be 0/1 + -1 + 9. Let d = z - 5. Suppose -33 = -4*a + d*o + 32, 4*o = a - 26. Calculate the remainder when a is divided by 4.
2
Suppose 18*g = 7*g + 1210. Let t(j) = -j**2 + 12*j + 2. What is the remainder when g is divided by t(5)?
36
Let j(d) be the first derivative of 7*d**3/3 - d**2/2 - 3*d + 11. Let s be 20/4 - (-4)/(-2). What is the remainder when j(s) is divided by 15?
12
Suppose -3268 = -z - 3265. What is the remainder when 612 is divided by z?
0
Let p = 31 + -22. Suppose -4*c - 4*m + 39 = -3*c, 2*c = -2*m + 96. Calculate the remainder when c is divided by p.
6
Let c = 1130 - 1046. Let j(l) = l + 4. What is the remainder when c is divided by j(11)?
9
Suppose -26*y = -21*y + 50. Let t(z) = -1. Let f(a) = 2*a + 12. Let w(n) = -f(n) - 5*t(n). What is the remainder when 36 is divided by w(y)?
10
Let a(r) = 44*r + 4*r**2 + 5*r**2 + 6 - r**3 - 2*r**2 - 52*r. Calculate the remainder when 35 is divided by a(2).
5
Let h be -1 + (-2)/1*-1. Let c be 1008/24*(-2 + h). Let d = -32 - c. Calculate the remainder when 17 is divided by d.
7
Suppose 1 + 23 = 4*v. Suppose -5*z - 9 = -v*z. What is the remainder when 24 is divided by z?
6
Let t(z) = 4*z - 3*z**2 - 5 + 2*z + 2*z**2 + 4*z. Suppose 0 = -3*p + 7 + 5. Calculate the remainder when t(p) is divided by 5.
4
Suppose 18*r - 6*r - 3792 = 0. Calculate the remainder when r is divided by 106.
104
Let j be (-6 - -9)*1/(-1). Let w(u) = -6*u - 1. Let v be w(j). Let x = 48 - v. Calculate the remainder when x is divided by 12.
7
Let s = 45 + -28. Suppose 1 = -2*r + s. What is the remainder when 55 is divided by r?
7
Let n(j) = j**3 - 6*j**2 - j - 2. Let c be n(7). Suppose -5*h + 5 = -c. Let z = 84 + h. Calculate the remainder when z is divided by 32.
29
Suppose v = 4*c + 26 + 37, -5*v + c + 239 = 0. What is the remainder when v is divided by 14?
5
Let j(s) = -3*s**2 + s. Let k(g) = -g**2 - 1. Let u(c) = j(c) - 4*k(c). What is the remainder when u(6) is divided by 16?
14
Suppose 6 = 2*n - 10. Let b = n + 0. Suppose b*i = 13*i - 245. Calculate the remainder when i is divided by 17.
15
Let m(u) = -u + 20. Let d = -39 - -39. Suppose 33 = 3*r - d*r. Calculate the remainder when 35 is divided by m(r).
8
Calculate the remainder when 123 is divided by 3*18/(-135)*-45.
15
Let z(x) = x + 7. Suppose -5*a + 3*a = -9*a. What is the remainder when 17 is divided by z(a)?
3
Suppose 100 = 4*y - 2*y. Suppose 5*a = -k + y, 3*a - k + 3*k = 37. Let n = 5 - -21. What is the remainder when n is divided by a?
8
Let f be 2/(-11) - (-9)/(-11). Let i be (f/1)/(-1)*-5. Let t(c) = -c**3 - 4*c**2 + 2*c + 3. What is the remainder when t(i) is divided by 7?
4
Let w = -991 - -1006. Calculate the remainder when (18/5)/((-2)/(-40)) is divided by w.
12
Suppose -3*k - 1 = -5*d, 4*k - d - 6 - 4 = 0. Let c = 1752 - 1738. What is the remainder when c is divide