 What is the remainder when 84 is divided by y?
4
Let r be (2 + 5/(-3))/((-21)/(-63)). Calculate the remainder when ((-3)/9)/(r/(-246)) is divided by 12.
10
Suppose 0 = -5*m - 8*m + 143. What is the remainder when 164 is divided by m?
10
Let k = -38 - -17. Let f = k + 40. Calculate the remainder when f is divided by -38*3/(-21) - 24/(-42).
1
Let y(o) = 4*o. Let x be y(1). Suppose j = x + 2. What is the remainder when ((0 - -5) + 2)*(-9)/(-9) is divided by j?
1
Let h(v) = -41*v + 435. Calculate the remainder when h(8) is divided by 22.
19
Suppose -3*w + 554 + 769 = -4*k, 0 = -4*w + 5*k + 1763. Calculate the remainder when w is divided by 86.
7
Let a be (-230)/(-2) + (-4 - -1). Let s be 928/a + (-4)/14. Let j(w) = w**2 + 3*w - 19. Calculate the remainder when j(s) is divided by 18.
15
Suppose 9*g - 6*g = b, 0 = g - b. Let c = 5 + -3. Suppose -5*j + c*o + 33 = g, 2*j - o - 20 = -j. What is the remainder when j is divided by 5?
2
Let s(r) = -r**3 + 7*r**2 - 7*r + 17. Let z = 23 + -15. What is the remainder when s(6) is divided by z?
3
Suppose -q + 8 = 3. Suppose 0 = -q*g + 24 + 46. Suppose g = 3*t - 43. What is the remainder when t is divided by 11?
8
Suppose -y + 18 = -20. Suppose -y = -4*i + 14. What is the remainder when 35 is divided by i?
9
Let n(u) = -u + 1. Let z be n(-3). Suppose 0 = g + z*g - 360. Let p(h) = -h**3 + 9*h**2 - 9*h + 33. Calculate the remainder when g is divided by p(8).
22
Suppose 5*q = d - 16 + 37, 11 = -d + 3*q. Suppose 0 = d*b - b + 9. Calculate the remainder when 21 is divided by 4/(-6)*(b + -6).
3
Suppose 0 = 25*a - 27*a + 260. Suppose 6*f - a = 170. What is the remainder when f is divided by 4?
2
Let w = 5 + -1. Let y(v) = -34*v - 25. What is the remainder when y(-1) is divided by -5 + w + 5 + 0?
1
Let q be -1 + -2 - (20 + -22). Calculate the remainder when 30 is divided by (-32)/((q + -5)/3).
14
Let t(a) = 15*a + 4. Let x be t(-2). Let y = -22 - x. Suppose -y*k = -5*k + 24. What is the remainder when k is divided by 13?
11
Let i be (-2)/(-3) + (-760)/(-12). Let s = -17 + i. Suppose -b + 0*b = -16. What is the remainder when s is divided by b?
15
Suppose 63*k - 68*k = -20. Suppose -2*v + k*h = -304, 0 = -2*v + 2*h + 119 + 185. Calculate the remainder when v is divided by 22.
20
Let p(j) = -6*j - 17. Let y = -14 - -7. Suppose -5*f + 2*a + 362 = 0, 5*f + a - 382 = -2*a. Calculate the remainder when f is divided by p(y).
24
Let f be (-173)/(-3) + 16/(-24). Suppose 2*p = -f - 3. Let d = 50 + p. Calculate the remainder when d is divided by 13.
7
Suppose 104 = 4*p - 2*p. Suppose q - 5*q = -p. Calculate the remainder when (-2 + (-55)/(-3))*3 is divided by q.
10
What is the remainder when (58/3)/(15/90) is divided by 25?
16
Let g(b) = b**3 + 9*b**2 + 7*b - 1. Let k be g(-8). Let q = 22 - k. Calculate the remainder when 40 is divided by q.
10
Let i = -22 + 25. Suppose -4*t = 3*m - 95, m - i*t + 5*t = 31. Suppose -5*w - 29 = -2*p - 120, 4*p - 39 = -3*w. Calculate the remainder when m is divided by w.
16
Let n(m) = -m**3 + 32*m**2 + 5*m - 126. What is the remainder when n(32) is divided by (1 + 1*8)/1?
7
Let a(u) = -4*u + 31. What is the remainder when 53 is divided by a(5)?
9
Let t = 36 + -34. Suppose t*a = 6*a. Suppose 6*o - 9*o + 27 = a. Calculate the remainder when 26 is divided by o.
8
Let q(p) = p**3 - 35*p**2 - 23*p - 151. Calculate the remainder when q(36) is divided by 8.
5
Let z = 3 + 33. What is the remainder when z is divided by 20?
16
Calculate the remainder when 172 is divided by -2 + 14 + -3 + -3.
4
Suppose -1593*d - 12 = -1595*d. Suppose 5*h - 2 - 3 = 2*z, -42 = 3*z + 4*h. What is the remainder when 4/z + 274/10 is divided by d?
3
Let v(y) = 19*y - 723. What is the remainder when v(43) is divided by 35?
24
Let m be (-11 - -9)/((-1)/3). Suppose 0 = -j + m - 3. Suppose -11*h = -h - 90. Calculate the remainder when h is divided by j.
0
Suppose -5*z + 29 = -b, -4*b - 21 = -0*z - z. Suppose 0*y - 42 = -7*y. Calculate the remainder when y is divided by z.
1
Suppose -x + 200 = -4*n, 5*n - 781 = -5*x + 119. What is the remainder when x is divided by 86?
12
Let n(j) = j**2 - 13*j + 16. Let r(m) = m**3 + 4*m - 3. Let q be r(2). Calculate the remainder when 47 is divided by n(q).
15
Let q(w) = w**3 - 6*w**2 + 5*w + 5. Let i be q(5). Suppose -2*f - i*k = -33, -4*f + k = -0*f - 11. What is the remainder when 19 is divided by f?
3
Let u(g) = 10*g + 3. Suppose c - 2*c = -p - 93, 0 = -3*p + 15. What is the remainder when c is divided by u(3)?
32
Suppose 0 = 2*b + 3*b - 25. Suppose 3*v = -3*h + 27, 4*v + 2*h - 11 = 3*h. Calculate the remainder when b is divided by v.
1
Let v(r) = -r**3 - 55*r**2 - 7*r + 31. Calculate the remainder when v(-55) is divided by 19.
17
Let h(c) = c**3 + 13*c**2 - 17*c - 2. Let n be h(-14). Suppose n*u - 45*u = -210. Calculate the remainder when u is divided by 15.
12
Let v(k) = -5*k + 144. Calculate the remainder when v(15) is divided by 37.
32
Suppose -x - 4 = 2*j, 5*j = -5*x + 4*x - 19. Let o(a) = a**2 - 4*a + 6. What is the remainder when 249 is divided by o(x)?
15
Calculate the remainder when 14 is divided by 12/48*-5 + (-13)/(-4).
0
Let q be (-91)/(-2) - (-9)/18. Suppose 2*n + 0 - q = 0. What is the remainder when n is divided by 5?
3
Let f = 140 - 111. Let d be (-6)/(-15) + (-6)/15. Let v = 10 + d. Calculate the remainder when f is divided by v.
9
Let x(f) = -8*f - 7. Let r be x(-3). Let k = r - 16. What is the remainder when 3 - k/(4/(-172)) is divided by 13?
7
Suppose 3*l = -2*u + 56, 4*l - 2*u = -6*u + 72. Suppose 1233 = 4*p + 841. Calculate the remainder when p is divided by l.
18
Suppose -4*b + 2*b = -38. Suppose -2*v - 79 - 59 = 0. Let w = v - -104. Calculate the remainder when w is divided by b.
16
Suppose -2*a + 4 - 6 = 0. Let v(g) = g**3 - 5*g**2 - 6*g - 4. Let m be v(6). What is the remainder when (m/(-8))/(a/(-134)) is divided by 23?
21
Calculate the remainder when -3 - 0 - (19 - 43) is divided by 8.
5
Let i(v) = -v**3 - 6*v**2 - 7*v - 5. Let f be i(-5). Suppose -4*t + 13 = s, 37 = -t + f*s + 14. Let u = t + 7. Calculate the remainder when u is divided by 3.
0
Suppose -i = -6 - 7. What is the remainder when -4 + 36/10 + 672/30 is divided by i?
9
Let c be -1 - (-32)/40*(-65)/2. Let w = 59 + c. Calculate the remainder when w is divided by 18.
14
Let d be (-105)/(-20) - (-3)/4. Let g = -3 + d. What is the remainder when 25 is divided by g?
1
Let g = 1684 - 963. Suppose 13*t - 6*t = g. Calculate the remainder when t is divided by 36.
31
Suppose -2*x = -3*x + 25. Let j be (40/(-6))/((-26)/39). Let n(t) = t**3 - 10*t**2 + t - 3. What is the remainder when x is divided by n(j)?
4
Suppose -2 = -7*p + 19. Suppose -h - 4*s + 7 = -p*s, -2*h = 4*s - 22. Calculate the remainder when h is divided by 2.
1
Let h(r) = -4*r + 8. Let q be 3 + 5 - (-1 - -2). Let j be h(q). Let t = j + 37. What is the remainder when 32 is divided by t?
15
Let k = 70 - 36. What is the remainder when 146 is divided by k?
10
Let f(o) = 11*o - 15. Let g be f(6). Let h = g + -9. What is the remainder when h is divided by 15?
12
Suppose -34*u + 89*u = 100045. Calculate the remainder when u is divided by 140.
139
Suppose -5*v - 2*i = -90 - 59, -i = 2*v - 60. Calculate the remainder when 93 is divided by v.
6
Let m(w) = -w**3 - w**2 + 5*w - 1. Let c = -55 - -62. Calculate the remainder when m(-4) is divided by c.
6
Let d(v) = -2*v**2 - 203*v - 1486. Calculate the remainder when (-2)/4*-2*47 is divided by d(-8).
7
Suppose -11501 = -28*l + 9359. Calculate the remainder when l is divided by 68.
65
Let c(k) be the second derivative of k**3/3 - 3*k**2 - 4*k. Let v be c(6). Suppose v*r - 33 + 9 = 0. What is the remainder when r is divided by 2?
0
What is the remainder when 61 - ((7 - 18) + 4) is divided by 37?
31
Suppose -2*i + 151 = b, 3*b = 4*i + 333 + 80. Calculate the remainder when 426 is divided by b.
140
Let i(y) = -6*y**3 - y**2 + 3*y + 5. Calculate the remainder when i(-4) is divided by 52.
49
Let b = 57 - 59. Let u(w) = -3*w**3 + w**2 + w - 1. What is the remainder when 46 is divided by u(b)?
21
Let g(n) = 3*n**2 - 11*n + 384. Calculate the remainder when g(0) is divided by 132.
120
Suppose -u - 10 = -2*u. Suppose u*r - 316 = 164. What is the remainder when 238 is divided by r?
46
Suppose 39*d = 21*d + 1062. What is the r