- 1. Suppose 2*l = -3*d - k + 6, 0 = -l + 5*d - 4. Let q = l - -10. What is the remainder when q is divided by 6?
5
Let v = 15 - 28. Let w = v + 18. What is the remainder when 13 is divided by w?
3
Let i be (1 + 0)/(4/(-76)). Let v = i - -43. What is the remainder when v is divided by 7?
3
Let p(v) = 17*v**3 - v**2 + 1. Suppose -2*h - 110 = 5*r, -2*r - 2*r - 88 = 2*h. Let o be 4/(-18) - r/18. What is the remainder when 32 is divided by p(o)?
15
Suppose 15 = 5*b, -3*t - 5*b + 68 = 29. What is the remainder when 2/7 - (-152)/7 is divided by t?
6
Let l be -2 + 0/(-2) + -8. Let v = 6 - 1. What is the remainder when 2/l + 184/20 is divided by v?
4
Let n = -84 + 127. Calculate the remainder when n is divided by 23.
20
Let n = 176 + -63. What is the remainder when n is divided by 29?
26
Suppose 0 = 4*g - 2 - 2. Let r(p) = -p**3 + 51*p**2 - 24*p**2 + 1 + 2*p - 26*p**2. Calculate the remainder when g is divided by r(-1).
0
Let c(f) = -12*f**3 + 1. What is the remainder when 48 is divided by c(-1)?
9
Suppose 56 = 3*p - 106. Calculate the remainder when p is divided by 19.
16
Let h = 77 + -46. Let s = 19 + -11. What is the remainder when h is divided by s?
7
Let v(s) = s**3 + 5*s**2 + 3*s - 1. Let r be v(-4). Suppose -r*x - 36 = -7*x. Calculate the remainder when 15 is divided by x.
6
Let v(u) = -u**3 - 4*u**2 - 2*u. Let k be v(-3). Let b = k + 10. Calculate the remainder when b is divided by 4.
3
Let p(s) = -s**3 + 8*s**2 + 10*s - 12. Let u be p(9). What is the remainder when ((-3)/12)/((-3)/228) is divided by (-23)/u - (-12)/(-18)?
5
Let g = -40 - -99. Calculate the remainder when g is divided by 31.
28
Let d(f) = -f - 1. Let p(c) = -c**2 - 7*c - 8. Let t(z) = 2*d(z) - p(z). Calculate the remainder when t(-4) is divided by 2.
0
What is the remainder when 3*(-1 - (-80)/36)*9 is divided by 19?
14
Suppose 3*l - 7*l + 56 = 0. Let d(r) = -r**3 - 7*r**2 + 6*r + 10. What is the remainder when d(-8) is divided by l?
12
Let j(x) be the third derivative of 1/24*x**4 - 2/3*x**3 + 0*x + 2*x**2 + 0. Calculate the remainder when 8 is divided by j(7).
2
Suppose -4*n = m + 16, -m = 3*m + 5*n + 20. Suppose m = w - 5 - 2. Let u = -3 + w. What is the remainder when 10 is divided by u?
2
Suppose k - 1 = -3*o + 1, 3*k - 21 = -4*o. Calculate the remainder when 42 is divided by k.
9
Let z(t) = -t**3 + 8*t**2 + 10*t - 12. Let s be z(9). Let q = 24 - s. What is the remainder when q is divided by 10?
7
Suppose 4*d - 18 - 30 = 0. Suppose -4*s + s = -d. Calculate the remainder when 10 is divided by s.
2
Suppose 4*j + 83 = 2*v - 25, 0 = -3*v + 5*j + 163. Calculate the remainder when v is divided by 19.
18
Let l = -3 - -10. Suppose 0 = -m + 3*j + 1, 3*j - l = -6*m + 5*m. What is the remainder when 6 is divided by m?
2
Suppose 5*w + 90 = u, 3*u = -2*w + 376 - 38. What is the remainder when 29 is divided by u/7 - (-14)/49?
13
Suppose 0 = 10*h - 13*h + 135. Calculate the remainder when h is divided by 13.
6
Suppose 0*f - 3*f - 121 = -5*a, 5*f - 67 = -2*a. Calculate the remainder when 50 is divided by a.
24
Let w(i) = 3*i + 2 + 2*i - 2*i - 2*i. Let c be w(-2). Suppose c*p = -4*p + 124. What is the remainder when p is divided by 11?
9
Suppose 2*i = 5*r - 102, -3*r - 3*i - 23 = -4*r. Suppose 8*o = 4*o + 44. Calculate the remainder when r is divided by o.
9
Let u(z) = 0 - 3*z + 7 + z**2 - 2*z + 0*z. Let d(l) = -l**2 - 5*l + 3. What is the remainder when u(5) is divided by d(-5)?
1
Suppose -2 = -2*z, 0*z + 3*z = -w + 24. Suppose 0*k + 3*k - 192 = 0. Let a = k - 23. What is the remainder when a is divided by w?
20
Suppose 5*z + 4*o - 80 = 6, 4*o = -3*z + 58. What is the remainder when z is divided by 5?
4
Let c(q) = -q**2 + 7*q - 2. Suppose -2*j + 14 + 60 = 0. Calculate the remainder when j is divided by c(4).
7
Let h be 1 - (0 - 1)*-1. Suppose 4*x - 4 - 8 = h. Suppose 4*a - 6*o = -3*o + 101, 2*a - x*o = 43. Calculate the remainder when a is divided by 10.
9
Let y = -52 + 1. Let o = -36 - y. Let p = o + -7. Calculate the remainder when 31 is divided by p.
7
Suppose -5*s - 11 = 5*w + 4, s + 1 = -2*w. Let g = 21 - w. What is the remainder when 35 is divided by g?
16
Let c(n) = -n**2 + 14*n - 3. What is the remainder when 40 is divided by c(12)?
19
Suppose 4*u + 0*u = -2*h - 4, -4 = -2*u + 2*h. Calculate the remainder when (0 - 0) + u + 44 is divided by 15.
14
Let o = -28 - -44. What is the remainder when (2/(-3))/((-12)/522) is divided by o?
13
Suppose 4*f = 2*u - 99 + 15, -3*f - 117 = -3*u. What is the remainder when 141 is divided by u?
33
Let u = 10 + -10. Suppose u = -0*i - 2*i + 20. What is the remainder when 37 is divided by i?
7
Let o(g) = g**3 - 7*g**2 + 8*g - 6. What is the remainder when o(7) is divided by 13?
11
Suppose -115 = -37*j + 14*j. Let p(r) = 8*r + 1. What is the remainder when p(1) is divided by j?
4
Suppose -3*a - a = 5*v - 3, -2*v = a. Suppose a*h - 2 = -0*h. Suppose -4*b + 3 = -1. Calculate the remainder when b is divided by h.
0
Suppose 0 = 3*d - 3*l - 309, -2*d + 3*l + 111 = -d. Suppose 34 = -5*i + 2*x + d, -2*i - x + 26 = 0. What is the remainder when 24 is divided by i?
11
What is the remainder when (-110)/(-15)*(-18)/(-4) is divided by 6?
3
Suppose -2*m + 5*m = 0. Let o be 11/(-1) + m + 0. Let u = o + 29. Calculate the remainder when u is divided by 10.
8
Let y be ((-4)/((-16)/420))/1. Suppose -y = 3*d - 8*d. Calculate the remainder when 41 is divided by d.
20
Let j(t) = t**3 + 9*t**2 - 11*t - 1. What is the remainder when 51 is divided by j(-10)?
6
Let f(n) = n + 5. Suppose 2 = -2*u + 6. Suppose -21 = 6*y - 2*y + 5*i, -11 = -y + u*i. Calculate the remainder when y is divided by f(-4).
0
Let t be (0/2)/((-4)/(-2)). Suppose 0*k - 3*k = 4*j - 38, -4*k + 2*j + 58 = t. Let b(z) = 15*z - 4. What is the remainder when b(3) is divided by k?
13
Suppose -2*n - 3*n = -20. Suppose -15 = n*m - 5*m. What is the remainder when m is divided by (5 - 2)*(-16)/(-6)?
7
Let q(t) = -t**3 + 10*t**2 - 8*t + 9. Let s(w) = -w**3 + 6*w**2 + 8*w + 1. Let o be s(7). Calculate the remainder when q(o) is divided by 19.
16
Let y = -15 + 30. Let f(b) be the first derivative of -b**3/3 + 13*b**2/2 - 14*b - 3. What is the remainder when y is divided by f(11)?
7
Suppose -7*j + 2*j = -20. Suppose -j*d + 5 = -3. Calculate the remainder when d is divided by 1.
0
Calculate the remainder when (-3 - (-40)/12) + (-60)/(-9) is divided by 2.
1
Suppose 3*b - 5*j = 7, -5*b + 4*j + 23 = 7. Calculate the remainder when b is divided by 3.
1
Let b(h) = -h**2 + 13*h - 9. Calculate the remainder when 92 is divided by b(5).
30
Let u(r) = -6*r - 2. Let q be u(-2). Let f(l) = 7*l**2 + 2*l - 1. Calculate the remainder when 234/q + 8/(-20) is divided by f(1).
7
Let w = 14 + -9. Calculate the remainder when w is divided by 2.
1
Let l be 2 - 2 - (-3 + 2). Let w = l + 6. What is the remainder when w is divided by (-26)/(-8) + 1/(-4)?
1
Suppose -2*s - s = -3*g - 6, -26 = -4*s - 2*g. Suppose 5*n = -0*n + 5. Calculate the remainder when s is divided by n - (4 + -2) - -4.
2
Let t(s) = 3*s + 2*s**2 + s**2 - 2*s**2 - 2. Let o be t(-4). Suppose -o*n = -3*m + 2*n + 62, -5*m + 4*n + 90 = 0. What is the remainder when 26 is divided by m?
12
Let j(u) = u + 1. Let l be j(4). Suppose 24 = l*w - w. Let a = w + -1. Calculate the remainder when 8 is divided by a.
3
Suppose -4*s = -20, -5*f + s + 34 = -1. Suppose -r + 4*i = -10, 3*r = -2*i + 16 + 56. What is the remainder when r is divided by f?
6
Let l = -65 + 37. What is the remainder when (26/3)/((-3)/(-9)) is divided by 1/(-2 + (-58)/l)?
12
Let x = 82 - 60. What is the remainder when 43 is divided by x?
21
Let s be 15/(-2)*(-12)/(-15). Let k be (-115)/s + 5/(-30). Suppose -81 = -5*p + k. Calculate the remainder when p is divided by 7.
6
Let r be 0/(-2) - (-90)/(-5). Let l be (-76)/r + 2/(-9). Suppose -4*w + 4*q + 0*q = -20, 0 = -2*w + l*q. Calculate the remainder when w is divided by 4.
2
Suppose 0 = p - 4*a - 43, 0*p - 4*a = -2*p + 106. What is the remainder when p is divided by 22?
19
Let q = 16 + -11. Suppose q*x = 3 + 2. What is the remainder when (-1 - 4)*3/(-15) is divided by x?
0
Let j(n) = -n**2 - 10*n + 10. Let f be j(-9). Suppose 2*v + 46 = 4*z, 0 = -5*z + v + f + 43. Calculate the remainder when z is divided by 7.
6
Let h(i) = -i + 3. Let r be h(0). Let g(k) = 5*k**2 - 