 15. Suppose -2*x - b*j = 3*x - 10, 3*j - 12 = 0. What is the remainder when (-6 + 1)*(-1 + x) is divided by 8?
7
Let u(j) = -14*j - 5. Let n be u(-6). Suppose 2*o = -6, -g + o = 3*g - n. What is the remainder when 35 is divided by g?
16
Let t(h) = 4*h**3 + h**2 - 2*h + 1. Let c(w) = -w**2 + 8*w + 2. Let v be c(4). Let x = v + -1. Calculate the remainder when t(2) is divided by x.
16
Let a = 21 - 2. Let r = a + -11. What is the remainder when r is divided by 3?
2
Let z = -50 - -69. Suppose -2*w + w + 55 = 0. Calculate the remainder when w is divided by z.
17
Suppose -4*y + p + 320 = -3*p, -4*p - 397 = -5*y. Calculate the remainder when y is divided by 26.
25
Let s(q) = q**2 - q - 1. Let c be s(2). Calculate the remainder when 2 is divided by (4/c)/(-2) - -4.
0
Let c(b) = b**2 + 6*b - 8. Let m be c(-6). Let w = m + 13. What is the remainder when 8 is divided by w?
3
Suppose 0 = 2*r - 10, 0 = -3*w - w - 4*r + 60. Suppose 2*o - 81 = -o. What is the remainder when o is divided by w?
7
Let d = 7 + 7. Let i(o) = o**2 - 7*o + 9. Let l be i(6). Calculate the remainder when d is divided by (1 - l)*(-5)/2.
4
Let k(l) = l. Let z be k(-1). Let w be (z/2)/((-2)/16). Let p(u) = u**2 - 4*u + 6. Calculate the remainder when p(w) is divided by 4.
2
Suppose -z + 42 = -2*q - 3, 3*z + 96 = -5*q. Let b be -1 - (-3)/((-9)/q). Suppose 2*j - r - r = b, -j + 4*r = 3. What is the remainder when 8 is divided by j?
3
Let h(b) = -b**2 + b + 2. Let f be h(4). Let y = 3 - f. What is the remainder when y is divided by 8?
5
Let g = 23 - 16. Suppose -2*t + 3*t - g = v, 2*v - 3*t + 16 = 0. What is the remainder when (-2)/10 + (-116)/v is divided by 12?
11
Let g(i) = -i**2 - 6*i - 1. Suppose 0 = -6*h + 34 - 4. Suppose -3*k = 12, 0 = -3*y - h*k - 3 - 2. Calculate the remainder when y is divided by g(-5).
1
Let w = -15 - -37. Let o = w + -14. What is the remainder when 15 is divided by o?
7
Let u = -25 - -43. What is the remainder when u is divided by 5?
3
Calculate the remainder when 61 is divided by ((-182)/(-21))/(2/3).
9
Let g(z) be the first derivative of -6*z**2 + 4*z - 2. Let t be g(-4). Suppose -2*l = 2*l - t. Calculate the remainder when l is divided by 5.
3
What is the remainder when (-2)/11 + (3436/22 - -5) is divided by 55?
51
Let j(d) = d**2 + 5*d - 2. What is the remainder when j(-7) is divided by 5?
2
Let y = 56 + -36. Let a be ((-5)/(-2) + -2)*2. Calculate the remainder when y is divided by 9/(-18)*(-14)/a.
6
Suppose -c + 2*c = 26. Let i = c + -19. Calculate the remainder when 25 is divided by i.
4
Suppose 0 = 5*h - u + 3 - 95, 4*u = -5*h + 107. Suppose m - 6*m + 170 = 0. Let d = m - h. Calculate the remainder when 43 is divided by d.
13
Let r be (3 + (-7)/2)*0. Suppose r = 4*c - 2*c - 68. Calculate the remainder when c is divided by 9.
7
Let y(u) = 2*u + 2. Let w be y(-2). What is the remainder when 1 - w - (-31)/1 is divided by 9?
7
Let i(x) = -13*x. Let o be i(1). Let m = o + 22. Let u = 1 + 4. Calculate the remainder when m is divided by u.
4
Let o = -14 + 28. Calculate the remainder when 37 is divided by o.
9
Let q(b) = -b**2 + 6*b - 1. Let f be q(4). What is the remainder when (f*2)/((-5)/(-10)) is divided by 10?
8
Let k(z) = z - 9. Let m be k(12). Suppose o = -4*v - m*o + 80, 5*o = 0. Calculate the remainder when v is divided by 7.
6
Suppose -o - 6 = -6*o + 3*h, 12 = 3*o + h. Suppose -3*s - 7*c + 24 = -5*c, -4*c - 24 = -o*s. Calculate the remainder when 39 is divided by s.
7
Suppose 10*y - 642 = 4*y. Calculate the remainder when y is divided by 12.
11
Suppose -17*a + 440 = 3*a. Suppose 2*j - 32 = -2*j. Calculate the remainder when a is divided by j.
6
Suppose 0 = -6*s + 31 + 35. What is the remainder when (2 - -31) + (1 - 2) is divided by s?
10
Let b(s) = 3*s + 12. Calculate the remainder when 149 is divided by b(9).
32
Let h(t) = -t**2 - 11*t + 23. Suppose 9 + 27 = 2*c. Calculate the remainder when h(-7) is divided by c.
15
Suppose 0 = -o + 61 + 49. What is the remainder when o is divided by 28?
26
Suppose -12*i + 10*i + 164 = 0. Calculate the remainder when i is divided by 21.
19
Let w(n) = -n**3 - 3*n**2 - 2*n + 1. Calculate the remainder when 880/9 - 2/(-9) is divided by w(-4).
23
Let j(u) = -2 + 1 - u**2 - 3*u - u**3 + 5. Calculate the remainder when j(-3) is divided by 11.
9
Calculate the remainder when 238 is divided by (-3)/((-27)/(-12))*-9.
10
Suppose 0 = 4*l - 3*l - 4*c + 6, -3*l - 3*c + 12 = 0. Calculate the remainder when 40 is divided by 6*(35/l)/5.
19
Let h(a) be the third derivative of -7*a**6/120 - a**5/60 + 5*a**2. Suppose 5*k = s + 51, 4*s = -2*k - s + 15. What is the remainder when k is divided by h(-1)?
4
Let o(y) = y**2 - 12*y + 11. Suppose -4*q + 3*q = -4*i + 57, 5*i = 3*q + 73. What is the remainder when o(i) is divided by 8?
7
Let r(l) = -24*l. Calculate the remainder when 46 is divided by r(-1).
22
Suppose -3*x + 0*l = 5*l - 18, -l = 3. Suppose x = 2*v - 15. Calculate the remainder when 37 is divided by v.
11
Let i be 62/6 + (-2)/(-3). Suppose t + 2*m = -0*m - 2, -i = -2*t - m. What is the remainder when 31 is divided by t?
7
Let c = 44 + -30. Suppose 3*k - 25 = c. Suppose d + 5 = 2*d. What is the remainder when k is divided by d?
3
Let i be ((-26)/(-4))/(1/(-2)). Let k = 91 + -84. Let a = k - i. What is the remainder when a is divided by 11?
9
Suppose -3*y = y + 12. What is the remainder when ((-68)/(-8))/(y/(-6)) is divided by 9?
8
Let z be 1 - (4 - 2 - 63). Suppose -3*u = -0*u + w + 72, 0 = 2*u - 4*w + z. What is the remainder when 16 is divided by ((-10)/u)/((-2)/(-30))?
4
Suppose 2*h + o - 47 = 0, 0 = 2*h + 3*h + 3*o - 120. Let q(i) = 12*i + 9. Let n be q(-5). Let f = n - -91. Calculate the remainder when f is divided by h.
19
Let f = 47 - -3. Calculate the remainder when 20/f - 283/(-5) is divided by 15.
12
Let n(f) = 5*f + 2. Suppose 2*y - 4*r = -4, -4*y + 9*y = 3*r + 18. Calculate the remainder when n(3) is divided by y.
5
Suppose -12*k = -10*k - 58. Calculate the remainder when k is divided by 15.
14
Let u(h) = -7 - 3 + h**3 - 9*h**2 + 1 + 11*h. Let c(d) = -4*d - 4. Let m be c(-3). What is the remainder when 29 is divided by u(m)?
14
Suppose -3*o + 0*o + 165 = 3*b, -67 = -b + 2*o. What is the remainder when b is divided by 24?
11
Suppose 5*t - 180 = 20. What is the remainder when t is divided by 23?
17
Suppose -3*x + o + 4*o = -25, -4*x - 3*o = -72. Let t = x - -4. What is the remainder when 53 is divided by t?
15
Suppose -3*i - 19 = -52. What is the remainder when 42 is divided by i?
9
Suppose 4 = 5*d - 5*b - 6, -2*d + 3*b + 4 = 0. Let w(t) = -3*t - 3*t + d*t - 1. What is the remainder when w(-4) is divided by 8?
7
Let v be (8/12)/((-2)/33). Let d(n) = -2*n - 10. Calculate the remainder when d(v) is divided by 5.
2
Suppose 102*s = 107*s - 35. Suppose -2*q - 10 + 50 = 0. What is the remainder when q is divided by s?
6
Suppose w - 14 = -u + 4*w, 0 = 2*w - 2. Calculate the remainder when u is divided by 9.
8
What is the remainder when 7 is divided by (2 - -2) + 0/7?
3
Let u(o) = -2*o + 36. Calculate the remainder when u(-15) is divided by 34.
32
Let t = 108 + -77. Suppose 0 = -5*q + 3*b + 43, 0 = -b + 2 - 3. What is the remainder when t is divided by q?
7
Suppose 42 = 2*o - 68. Suppose 0*u = 5*u - o. What is the remainder when 42 is divided by u?
9
Let s(j) = 2*j**2 + j + 1. Let b be 7 - (-1 + 2 + -1). Suppose 4*v + i = -6, 5*i = -4*v - 7 - b. Calculate the remainder when s(v) is divided by 1.
0
What is the remainder when 72 is divided by 0/4*(-1 - 0) - -25?
22
Suppose 2*u = -u. Suppose y = -u*y + 21. What is the remainder when y is divided by 8?
5
Suppose -2*h - 7 = -3. Let j = h - -29. What is the remainder when j is divided by 15?
12
Let i(n) = n**3 + 14*n**2 + 9*n + 5. Let z be i(-13). Suppose z = -3*s + 141. Calculate the remainder when s is divided by 10.
8
Let p = -5 + 12. Suppose -236 = 3*y - p*y. Calculate the remainder when y is divided by 15.
14
Let l = 3 - 0. Suppose -2*i = 2*q + 3*q - 2, -4 = 2*i + 2*q. What is the remainder when (i/1)/((-1)/2) is divided by l?
2
Let f = -4 - 1. Let g = 8 + f. Calculate the remainder when g is divided by 3.
0
Suppose 51 = 6*u - 3*u. What is the remainder when 2/(-8) + (-201)/(-4) is divided by u?
16
Let h = -19 - -35. Suppose h - 176 = -y. Suppose 3*c + 5*w - 160 = -c, 4*c - 