remainder when q is divided by 7.
3
Let r = 57 + 63. Suppose -b = b - r. What is the remainder when b/(-4)*16/(-6) is divided by 14?
12
What is the remainder when (-2 - -98)/(12/8) is divided by 0 - (1 + -26 + 3)?
20
Let b(r) = 2*r**3 + 33*r**2 - 23*r - 18. Calculate the remainder when b(-17) is divided by 18.
12
Let b = -42 - -27. Calculate the remainder when 12 is divided by (-5)/b + (-40)/(-6).
5
Suppose 131 = 3*l - 4*u, 10*l + 2*u - 175 = 5*l. What is the remainder when l is divided by 2/4 + (-50)/(-4)?
11
Let t(z) = z**2 - 3*z - 12. What is the remainder when t(-9) is divided by 20?
16
Let y = 71 + -16. What is the remainder when y is divided by 14?
13
Let p be (2 - (-20)/(-2)) + 2. Let c(v) = -v + 7. Calculate the remainder when 24 is divided by c(p).
11
Let z be 3/2*(-8)/(-3). Suppose -z*v + 35 = 5*y, y - 2*v - 27 + 6 = 0. Calculate the remainder when 31 is divided by y.
9
Let l(c) = -c**3 + 9*c**2 + 2*c - 1. Calculate the remainder when 66 is divided by l(9).
15
Let f be 3*1*(-70)/15. Let p be (f/21)/(2/(-51)). What is the remainder when 33 is divided by (p*-2)/(-6 + 4)?
16
Suppose 0 = -w + 6 + 2. Let j = -20 + 35. Calculate the remainder when j is divided by w.
7
Let y(n) = 4*n**3 + 3*n**2 + 4*n + 2. Let b be y(-3). Calculate the remainder when (b/35)/((-2)/10) is divided by 4.
1
Let k(w) = -w**3 + 3*w**2 + 4*w - 4. Let b = -11 + 15. Let g be k(b). What is the remainder when 29 is divided by g*((-7)/2 + 1)?
9
Suppose t - 4*t + 36 = 0. Calculate the remainder when t is divided by 5.
2
Suppose 0*s + 1 = s. Suppose s = 3*c - 5. Let x = -3 + 6. Calculate the remainder when x is divided by c.
1
Suppose -4*o - f - 18 = -9*o, 6 = 3*f. What is the remainder when 9 is divided by o?
1
Suppose 0 = 5*v + 2 - 17. Calculate the remainder when 8 is divided by v.
2
What is the remainder when 36 is divided by (96/30 - 3) + 188/10?
17
Suppose m - 3*t - 3 = 4, 3*t + 3 = -3*m. Let a = -2 + m. What is the remainder when 26 is divided by (-12)/a + (-18)/(-9)?
12
Suppose 5*m - 88 = -28. Suppose -2*h + 5*u - 35 = 0, -6*h - 2*u = -h + 73. What is the remainder when -1*5*66/h is divided by m?
10
Suppose -5*j - 45 = -0*j. Let o = j - -16. Calculate the remainder when 19 is divided by o.
5
Let b(p) = -3*p - 9. Suppose 22 = -5*i + 2, -3*x + 4*i - 2 = 0. Calculate the remainder when 16 is divided by b(x).
7
Let r be (9/(-12))/((-2)/24). What is the remainder when 5 is divided by 6/27 + 16/r?
1
Suppose -3*y + 5*y - 8 = 0. Calculate the remainder when 11 is divided by y.
3
Let x(o) = o**2 + 10*o + 10. Calculate the remainder when x(-14) is divided by 17.
15
Suppose -3*m + 11 = 4*o - 47, 4*m = 4*o - 44. What is the remainder when o is divided by 7?
6
Suppose 0 = -5*q - 8 - 12. Let y = q + 7. Let r = -6 - -10. Calculate the remainder when r is divided by y.
1
Suppose 0 = -2*n + 4*n - 2. What is the remainder when -1 - ((-60)/(-5))/(-3) is divided by n?
0
Suppose 0 = -3*c + 4*c - 1. What is the remainder when 58 is divided by 0/c - (0 - 15)?
13
Let y(f) be the second derivative of 5*f**2 - 7/6*f**3 + 2*f + 0 - 1/12*f**4. Calculate the remainder when 5 is divided by y(-8).
1
What is the remainder when (47/(-3))/((-3)/18) is divided by 12?
10
Suppose 4*s + 24 = 4*t, -12 = -2*t + 2*s - 4*s. What is the remainder when 12/(-42) + 242/14 is divided by t?
5
Let f = -2 - -14. Let j(t) = -7*t + 2. What is the remainder when j(-3) is divided by f?
11
Let d(g) = g**2 - 17. Let s = 17 - 2. What is the remainder when s is divided by d(5)?
7
Let o = 69 - 5. Calculate the remainder when o is divided by 13.
12
What is the remainder when 121 is divided by 6/24 + 3*(-82)/(-8)?
28
Suppose 5*r + 155 = 5*x, -2*r + 0*r + 148 = 4*x. Suppose -72 = -4*z - 0*z. Suppose 6 + z = 2*b. What is the remainder when x is divided by b?
11
Let h be (-32)/(-12)*66/4. Suppose 0 = -k - 3*k + h. What is the remainder when 30 is divided by k?
8
Suppose 2*d = -4, -43 = -7*v + 4*v + 5*d. What is the remainder when 41 is divided by v?
8
Calculate the remainder when 155*(1/7 - (-99)/385) is divided by 5.
2
Calculate the remainder when ((-530)/(-30))/(1/3) is divided by 14.
11
Let k = -7 + 13. Suppose -2*a + 89 = -f, 0 = 2*a - 5*f - 99 + k. What is the remainder when a is divided by (3/(-4))/(2/(-40))?
14
Suppose 3*m - 30 = -0*m. Let k = 9 + -13. Let y(i) = 2*i**2 + 4*i + 1. Calculate the remainder when y(k) is divided by m.
7
Let w be ((-2)/4 + 0)*-20. Let m = 17 + w. What is the remainder when m is divided by 15?
12
Suppose -98 = 13*m - 15*m. What is the remainder when m is divided by 10?
9
Let f be (-3 + 11)/2*6. Suppose 4*v - 3*z - 16 = -z, -2*v + f = -5*z. Suppose 0*m = 3*m - 15. Calculate the remainder when m is divided by v.
1
Suppose 5*w - 44 = 3*w. What is the remainder when 64 is divided by w?
20
Let j be (0 + 1)/(2/416). What is the remainder when 33 is divided by 4/6 - j/(-12)?
15
Let v = 7 - 6. Suppose -2*d + 4*n + 3 = n, -7 = -4*d + 5*n. Calculate the remainder when d is divided by v.
0
Let o(l) = -l**3 + 3*l**2 + 5*l - 1. Let w = 48 - 42. Calculate the remainder when w is divided by o(4).
0
Suppose -2*y = -5*a - 487, 0*y - 2*a + 466 = 2*y. Suppose t = 4*v - 200, -2*t = -5*v + 17 + y. What is the remainder when v is divided by 17?
15
Let z(c) = -c**3 + 5*c**2 - 2*c - 1. Let a = -13 + 18. Suppose 5*q = -4*o + 19, -2*o = -3*q - a*o + 12. What is the remainder when 20 is divided by z(q)?
9
Let v(b) = 3*b**3 + b**2. Let l be v(1). Suppose -3*o + f + 276 = 0, 2*o - 92 = o - l*f. Calculate the remainder when o is divided by 31.
30
Let p = 45 - 26. Calculate the remainder when 35 is divided by p.
16
Suppose -2*n + 78 = n. Calculate the remainder when n is divided by (-1)/(10/(-84)) - 3/(-5).
8
Let b = -48 + 22. Let q = 34 - b. Let u = q - 35. What is the remainder when u is divided by 9?
7
Let d(g) = -g**3 + 11*g**2 + 28*g - 16. Calculate the remainder when 18 is divided by d(13).
8
Let h(y) = -9*y + 11. Let a(k) = 6*k - 7. Let q(g) = -8*a(g) - 5*h(g). Let l(t) = t - 10. Let z be l(5). Calculate the remainder when q(z) is divided by 6.
4
Let c = 8 - 5. Let a(h) = -35*h**c - 2*h**2 - 10*h + 1 + 10*h. What is the remainder when a(-1) is divided by 12?
10
Suppose 0 = 3*l + d - 61, d = l - 4*d - 47. Calculate the remainder when l is divided by 8.
6
Let g = 3 + -6. Let z = 16 + g. Let y = 54 - 16. What is the remainder when y is divided by z?
12
Let x = -9 + 11. What is the remainder when 7 is divided by x?
1
Let g = 7 + 0. Suppose 51 = 3*d + 2*l - g, 5*l = -5*d + 100. What is the remainder when d is divided by 10?
8
Let m = -78 - -109. What is the remainder when m is divided by 11?
9
Let b(x) = -17*x**3 - 2*x**2 + 1. Let i be b(-1). Let s = 4 + i. What is the remainder when 39 is divided by s?
19
Calculate the remainder when 6 is divided by 2/(-7) + (-184)/(-56).
0
Suppose 18*i - 73 - 35 = 0. Let a be ((-2)/2)/((-2)/46). Let z = a + 0. Calculate the remainder when z is divided by i.
5
Let n(k) = -k**3 + k**2 - k + 5. Suppose w + 23 = 4*y + 4*w, 4*y - 2*w - 38 = 0. What is the remainder when y is divided by n(0)?
3
What is the remainder when 66 is divided by (4 - 3 - 2) + 18?
15
Suppose -2*t = -120 + 20. Suppose -7*f + t = -5*f. Calculate the remainder when 48 is divided by f.
23
Suppose 4*k + 2*u - 45 = -u, 0 = 4*k - 4*u - 80. Let l = 33 - k. What is the remainder when l is divided by 7?
4
Let j(s) = s + 10. Calculate the remainder when 2 is divided by j(-8).
0
Let u(f) = 6*f. Let n(i) = -6*i. Let g(d) = 6*n(d) + 5*u(d). Calculate the remainder when g(-1) is divided by 3.
0
Let u = 73 + -29. What is the remainder when u is divided by 9?
8
Suppose 3 = -u + 24. Let v = 17 - 9. Calculate the remainder when u + 1 + 0 + 0 is divided by v.
6
Let i = 0 - -4. Suppose 2*z - 8 = -2*g, z - 4 = -3*z. Suppose -m = -i, 0 = g*y + 3*m - 0*m - 57. Calculate the remainder when 29 is divided by y.
14
Let y(m) = -m**3 - 11*m**2 + 8*m - 2. Calculate the remainder when y(-12) is divided by 12.
10
Let u = -364 + 513. Calculate the remainder when u is divided by 38.
35
Suppose 6 = c - 0. Let u(i) = i**3 - 6*i**2 + 2*i + 2. What is the remainder when 40 is divided by u(c)?
12
What is the remainder when 22 is divided by ((-12)/8)/(1 - 20/16)?
4
Suppose 3*t = 6*t - 9. Suppose -t*b + 128 = -b. Let m = b - 45. What is the remainder wh