is divided by b?
0
Let v(x) = -x**2 - 11*x + 12. What is the remainder when v(-6) is divided by 22?
20
Suppose -n - 3 = 2*n. Let k(h) = -6*h**3 - h**2 + h + 1. Let g(t) = -t**2 - 8*t + 2. What is the remainder when g(-7) is divided by k(n)?
4
Let b(l) = l**2 - 4*l + 4. Let c(a) = 2*a - 2. Let j(r) = 4*b(r) + 9*c(r). Calculate the remainder when j(-2) is divided by (2*1)/((-4)/(-8)).
2
Suppose -5*o + 6*o = 2. Suppose k = -4*x + 14, 19 = 3*x + o*k + 3*k. Calculate the remainder when x is divided by ((-1)/(-3))/((-2)/(-6)).
0
Let w(s) be the second derivative of -s**5/20 + 5*s**4/12 + 7*s**3/6 + 3*s**2/2 + s. Calculate the remainder when w(6) is divided by 3.
0
Let x = -96 - -103. What is the remainder when 24 is divided by x?
3
Let v(s) = -s**3 - 3*s**2 - 3*s - 4. Let x be v(-3). Suppose -3*a = 4*b - 72, 37 + 43 = 4*b + x*a. Calculate the remainder when 29 is divided by b.
14
Let d = 18 - 18. Suppose 5*b - n - 41 = d, b + 2*n = n + 7. Calculate the remainder when 29 is divided by b.
5
Let z(f) = 14*f**3 + 4*f + 1 - 5*f**2 + 6*f**2 - 6*f + 0. What is the remainder when z(1) is divided by 8?
6
Let b be (8/(-6))/(4/(-6)). Suppose -b*m - m = -39. What is the remainder when m is divided by 7 - (6 - 3 - (1 - 0))?
3
Let q(m) = 77*m**2 - 20*m + 14. Let d(k) = -26*k**2 + 7*k - 5. Let c(a) = 17*d(a) + 6*q(a). Calculate the remainder when c(-1) is divided by 11.
9
Let a(w) be the first derivative of 1 - 1/3*w**3 - 2*w**2 + 5*w. Calculate the remainder when a(-4) is divided by 3.
2
Let g(w) = -31*w - 4. What is the remainder when 79 is divided by g(-1)?
25
What is the remainder when 30 is divided by ((-2)/4)/((-14)/476)?
13
Let w = -2 - 1. Let y be 2*(-3)/(w + 0). Suppose 0 = 4*f + 2*g - 42, y*f - g - 19 = -0*f. Calculate the remainder when 29 is divided by f.
9
Let h(z) = 2*z - 10. Let y(m) be the second derivative of -m**5/10 - m**4/6 + m**3/6 + m**2 + 2*m. What is the remainder when h(12) is divided by y(-2)?
6
Let p(i) = 143*i**2. What is the remainder when p(1) is divided by 36?
35
Let k = -7 + 39. Calculate the remainder when k is divided by 5.
2
Calculate the remainder when (-3)/2*130/(-15) is divided by 5.
3
Suppose -2*s + 53 = -93. Calculate the remainder when s is divided by 37.
36
Let p(s) = s - 1. Let g be p(2). Let k = 27 + g. What is the remainder when k is divided by 11 + 2*(3 - 1)?
13
What is the remainder when 60 is divided by ((-118)/4 - (-6)/(-4))*-1?
29
Suppose -3*s - 2*y = -29, -4*s - 6*y + 4*y + 40 = 0. What is the remainder when 30 is divided by s?
8
Suppose 10 = -5*i - 20. Let q(t) = -t**2 - 8*t - 3. Calculate the remainder when q(i) is divided by 3.
0
What is the remainder when 66/(-9)*(-90)/12 is divided by 29?
26
Let f = -27 - -36. Let q = 1 - -5. Calculate the remainder when f is divided by q.
3
Let a(s) = -s**3 + 3*s**2 + 6*s - 6. Calculate the remainder when 45 is divided by a(3).
9
Let k(l) = -2 - l**2 + 9*l**2 + 0*l**2. Let h be k(2). Let f = h - -7. What is the remainder when f is divided by 13?
11
Let a(k) = 3*k**2 + 4*k + 3. Suppose -q = -0*q - 5*z - 41, 0 = 4*z + 12. What is the remainder when q is divided by a(-2)?
5
Suppose 0 = -4*w + 26 + 2. Suppose 0 = -w*u + 3*u + 36. Suppose 3*h - u = 0, -q + 48 = 2*q + 3*h. What is the remainder when 24 is divided by q?
11
Let h = 18 + 171. Suppose d = 5*p + 45 - h, 0 = -3*p + 2*d + 85. Calculate the remainder when p is divided by 8.
5
Let f = -67 - -120. What is the remainder when f is divided by 14?
11
Let u be ((-4)/(-12))/(2/246). Suppose 5*w - u = -16. What is the remainder when w is divided by 2?
1
Let p = -3 + 3. Suppose p = 2*n - 7 - 23. Calculate the remainder when n is divided by 6.
3
Let a be 2/9 + (-1290)/(-27). Let k = a + -31. What is the remainder when 32 is divided by k?
15
Suppose -2*s + 5*z = 3*s - 215, 0 = 4*s + 5*z - 154. What is the remainder when 161 is divided by s?
38
Suppose 0 = -2*z + 6, 0 = -2*x - z + 2*z + 7. Calculate the remainder when x is divided by 3 + (-4)/(16/(-4)).
1
Suppose -3*j + j + 8 = 0. Suppose 0*y = h + 2*y - 11, 5*h = -y + 73. What is the remainder when h is divided by j?
3
Suppose -c + 46 = 4*q, -6*c + q + 146 = -c. What is the remainder when 89 is divided by c?
29
Let h be 2/8 - (-21)/12. What is the remainder when 25 + -6*h/(-4) is divided by 15?
13
Let b(y) be the third derivative of 0*y - 7/6*y**3 + 0 - 1/60*y**5 + 11/24*y**4 + y**2. What is the remainder when b(7) is divided by 11?
10
Suppose -6*c + 52 = -10*c. Let a = -3 - c. Calculate the remainder when a is divided by (-9)/(-6)*2 + 1.
2
Let a(k) = k - 3. Let s be a(5). Suppose 0 = 4*m - 5*b - 22, 3*b + 0 = s*m - 12. What is the remainder when m is divided by 1*((-1 - 1) + 4)?
1
What is the remainder when 29 is divided by (-47)/(-3) + 1/3?
13
Let g = -62 + 92. What is the remainder when 45 is divided by (2/5)/(1/g)?
9
Let z be 2*(0 - (-5)/2). Let r be 2*6/(z - 2). What is the remainder when ((-62)/r)/((-1)/2) is divided by 11?
9
Let l be 3 + -6 + 0 - -6. Suppose 2*k + 18 = l*k. Calculate the remainder when (-940)/(-18) + (-2)/9 is divided by k.
16
Let u(a) = a - 1. Let x(p) = 4*p - 5. Let d(z) = u(z) - x(z). Let i be d(-4). Suppose 7 = -3*y + i. What is the remainder when 5 is divided by y?
2
Calculate the remainder when 21 is divided by (-9)/(1 - 4) - -9.
9
Let p = 22 + -17. Suppose 5*x - 81 = p*v - 4*v, -64 = -4*x + v. Calculate the remainder when (-1)/(-4) + (-195)/(-4) is divided by x.
15
Let j = 26 + -20. Suppose 0 = -3*t + 3*h + 45, 2*h = -1 - 7. Calculate the remainder when t is divided by j.
5
Suppose -2*g + 102 = -242. What is the remainder when g is divided by 29?
27
Suppose -2*x + 200 = -0*x. Suppose 80 + x = 5*w. Suppose 0 = -0*z + 4*z - 52. Calculate the remainder when w is divided by z.
10
Let l = -60 + -8. Suppose -5*x + 2*x = -30. Calculate the remainder when (5 + -1)*l/(-16) is divided by x.
7
Let o(s) = 2*s**2 - 4 + 6 + 0 + 4*s. Calculate the remainder when 22 is divided by o(-3).
6
Let j = 86 + -72. What is the remainder when 37 is divided by j?
9
Let h(d) = d + 48. What is the remainder when h(-30) is divided by 11?
7
Let v be (-10)/(-1)*3/6. Suppose v*x = -4*i + 67, -3*x + i = 6*i - 35. Calculate the remainder when x is divided by 8.
7
Suppose -o - 2 = -5. Let f(m) = -m**2 + 6*m + 1. Calculate the remainder when f(o) is divided by 3.
1
Suppose -4*y + 2 = -6. Calculate the remainder when y is divided by (4*(-1)/(-4))/1.
0
Let v be ((-12)/(-30))/((-2)/(-60)). Suppose -8*i - 408 = -v*i. What is the remainder when i is divided by 26?
24
Suppose -3*d + 5 = -4*w, 4*d + w - 3*w - 20 = 0. What is the remainder when 9 is divided by d?
2
Let l(o) = -o + 30. Calculate the remainder when l(0) is divided by -3*(2 - 17/3).
8
Suppose -3*o - 2*o = -115. Suppose 7 = -5*p + 67. What is the remainder when o is divided by p?
11
Let u(y) = 7*y - 2. What is the remainder when ((-112)/(-20))/((-8)/(-80)) is divided by u(3)?
18
Let p = 6 + -3. Suppose 4*f = -n + 24, 5*f - p*f + 38 = 2*n. Suppose -4*l - l = -n. What is the remainder when 6 is divided by l?
2
Suppose -l = 2*l + 270. Let g be l/(-6)*(-1)/(-3). Suppose 65 = 5*k + g. Calculate the remainder when 23 is divided by k.
11
Suppose 2*d + 4*z + 9 + 7 = 0, 5*z = -4*d - 20. Suppose d*x - 5*v = -2*x + 49, v - 136 = -5*x. What is the remainder when x is divided by 10?
7
Suppose 0 = 4*f - 5*y - 207, 3*f - 2*y = -6*y + 163. What is the remainder when f is divided by 14?
11
Let l be -1 + 3/1 + -71. Let f = l - -99. Calculate the remainder when f is divided by 8.
6
Let h = 80 + -77. What is the remainder when 29 is divided by h?
2
Let x be (4/(-6))/(3/(-27)). Suppose 4*h = x*c - 2*c, 5*c = 2*h + 3. Calculate the remainder when c is divided by 1.
0
Suppose -2*a + 5*g = -0 - 13, 0 = -a - 2*g + 2. Suppose a*q - 34 = 18. Calculate the remainder when 36 is divided by q.
10
What is the remainder when (165 - -1)*3/6 is divided by 21?
20
Let s be (-1 + 16)*(-1)/(-3). Suppose 3 = -3*d + 3*i, 0*d - s = -3*d - i. What is the remainder when d is divided by 1?
0
Let k = -47 - -84. Calculate the remainder when k is divided by 19.
18
Let q(r) = r**2 - 2*r + 1. Let g be q(-2). Suppose 2*o - 9 = g. Calculate the remainder when o is divided by (-3)/(-2) + 4 - 2/4.
4
Let i(q) = q - 1. Let o be 7 + (2*-1 - -1). Calculate the remainder when i(5) is div