14
Suppose -b = -4*v + 2*b - 44, b = 0. Let d = -3 - v. Let g(w) = -5*w + 3. What is the remainder when g(-4) is divided by d?
7
Calculate the remainder when 21 is divided by 6 - 11/(66/(-36)).
9
Let r(v) = v**2 - 3*v + 4. Let a(d) = -5*d - 1. Let h be a(-2). What is the remainder when r(3) is divided by 16/h - 4/(-18)?
0
Let i(s) = -s**3 + s**2 - s + 80. Calculate the remainder when i(0) is divided by (-3)/((20/45)/(-4)).
26
Suppose -10*k + 9*k = -3. Suppose -4*z = -2*u + 24, -2*u - 6*z + k*z + 52 = 0. What is the remainder when u is divided by 11?
9
Let u(v) be the first derivative of v**2/2 + 7*v - 1. Calculate the remainder when 26 is divided by u(7).
12
Let t(l) = -l**2 + 4*l + 14. Let z be t(7). Let x(s) = s**2 + 5*s - 11. Calculate the remainder when 7 is divided by x(z).
1
Let m(n) = -n**2 - 8*n - 1. Let v = -13 + 19. What is the remainder when m(-6) is divided by v?
5
Let v(x) = -2*x + 9. Suppose 4*q - 98 = 58. Calculate the remainder when q is divided by v(-6).
18
Let g be (-2)/(-5) - (-3732)/(-30). Let j = -68 - g. Suppose -4*x + 86 - 10 = 0. Calculate the remainder when j is divided by x.
18
Let m = 5 + 0. Suppose m*p + 1 - 16 = 0. Suppose -3*t = -4*g - 54, t = -p*t + 3*g + 65. Calculate the remainder when 27 is divided by t.
13
Let z(c) = -c**2 + 13*c - 22. Calculate the remainder when 29 is divided by z(10).
5
Suppose -f - 1 = -5. Let q be (-18)/(-4) - (-3)/6. Let m = 5 + q. Calculate the remainder when m is divided by f.
2
What is the remainder when (-3 + 2 - -252)*(8 + -7) is divided by 36?
35
Let m be 6 + (-3 - 0) + 5. Let t(w) = -w**2 + 11*w + 2. Calculate the remainder when 51 is divided by t(m).
25
Let c(o) = 5*o**2 + o + 2. Let l be c(-2). Let v = l - 10. Calculate the remainder when 18 is divided by v.
8
Let q = 131 + -108. Let g(f) = f**3 - 2*f**2 + 1. Let v be g(-1). Let a = v + 8. What is the remainder when q is divided by a?
5
Let x(m) be the third derivative of -m**5/60 + 3*m**4/8 - m**3/6 + 2*m**2. Let j = 2 - -5. What is the remainder when x(j) is divided by 5?
3
Let m(o) = o**2 - 9*o + 6. What is the remainder when 110 is divided by m(11)?
26
Suppose -2*x - 4*a = -2, -a = -0*x + 5*x - 23. Suppose x*w - 74 = -2*r, w - 3*w + 29 = r. What is the remainder when 61 is divided by w?
13
Suppose 8*l - 4*l = 256. What is the remainder when l is divided by 11?
9
Let z be (1 - 4)/3*-4. Let v(x) = 6*x + 1. What is the remainder when v(z) is divided by 13?
12
Let a be 0 - (-2 - 0 - -36). Let u be (-9)/15 + a/10. Let h(k) = k**2 - k - 5. Calculate the remainder when 44 is divided by h(u).
14
Let u = 154 - 86. Calculate the remainder when u is divided by 12.
8
Let s = 102 + -87. Calculate the remainder when 88 is divided by s.
13
Suppose 0*u = -4*h - u + 53, 2*u + 50 = 4*h. What is the remainder when 24 is divided by h?
11
Suppose -t + 1 = -5*o - 1, -30 = -4*t - 2*o. Suppose 4*w - 77 = -5*h, 2*h - 31 - 10 = -5*w. What is the remainder when h is divided by t?
6
Let g(q) = -q**2 - 5*q - 3. Let s(x) = -x - 4. Let a be s(-6). Suppose -a*p - 10 = -26. Calculate the remainder when p is divided by g(-3).
2
Suppose 0 = -2*v - 2*v + 12. Calculate the remainder when v is divided by 2.
1
Suppose 2*n + 21 = 4*q - 5, 0 = 4*q - 3*n - 31. Suppose 3*g = 5*g - 24. Calculate the remainder when q is divided by ((-2)/(-4))/(2/g).
1
Suppose 4*r + 61 = -3*g + 4*g, -4*g + 2*r + 188 = 0. Calculate the remainder when g is divided by 12.
9
Let y(q) = 2*q**3 - q**2 - q - 4. Let g(i) = -i**3 + i**2 - i + 3. Let v be g(0). What is the remainder when y(v) is divided by 13?
12
Suppose 35*o = 36*o - 10. What is the remainder when 149 is divided by o?
9
What is the remainder when (224/2)/(-2 - -4) is divided by 12?
8
What is the remainder when 32 is divided by 184/56 + (-2)/7 + 15?
14
Let l = -2 + -8. Let h(w) = 3*w**2 + 47*w - 7. Let y(a) = a**2 + 16*a - 2. Let x(r) = -4*h(r) + 11*y(r). What is the remainder when x(l) is divided by 14?
12
Let i(n) = -18*n**3 + 2*n + 1 + 11*n**3 - 31*n**3. Let f(x) = 11*x**2 - 1. Calculate the remainder when i(-1) is divided by f(-1).
7
Let i be ((-9)/9)/(1/3). Suppose -8*x + 3*x + 26 = 2*s, -5*x + 29 = 3*s. What is the remainder when x is divided by (6/(-12))/(i/18)?
1
Suppose 0 = 6*a + 43 - 469. Calculate the remainder when a is divided by 8.
7
Suppose 2*k + 24 - 200 = 0. Calculate the remainder when k is divided by 10.
8
Suppose -2*o - 196 = -3*v - 3*o, v = 2*o + 70. What is the remainder when v is divided by 14?
10
Calculate the remainder when (46 - -1) + (4 - 8) is divided by 24.
19
Suppose 0 = 2*g - 2*p - 19 - 11, -4*g = -2*p - 62. Let t = -46 - -52. What is the remainder when g is divided by t?
4
Suppose -3*l - 65 = -8*l. Let m(w) be the first derivative of 5*w**4/4 + w**3/3 - w**2/2 + 2. What is the remainder when l is divided by m(1)?
3
Let h(f) = -f - 3. Let a be h(-7). Let j = 22 - 16. Suppose -a*q = -38 + j. What is the remainder when q is divided by 3?
2
Suppose -h - 16 = -4*h + 2*g, -3*g = -h + 3. Calculate the remainder when 20 is divided by h.
2
Let q = 2 - -1. Suppose -q*y = y - 16. Calculate the remainder when 1*47 + y/(-4) is divided by 24.
22
What is the remainder when -2 + (14/(-77) - (-1707)/11) is divided by 13?
10
Let f be 9 + 2 + -1 + -2. Suppose 5*w - 15 = -m, -3*m - w - 49 = -f*m. Let v(l) = l**2 + 3*l - 4. What is the remainder when m is divided by v(-5)?
4
Let p = 31 - -32. Suppose 0 = -2*a + 8, 0 = 4*l - a - 2 - 46. What is the remainder when p is divided by l?
11
Suppose 3*c = 1 + 8. Let p(m) = -c*m + 4*m**2 - 2*m - 2 + 3*m**2 - m**3 + 0*m**2. Calculate the remainder when 9 is divided by p(6).
1
Let v = -136 + 375. Calculate the remainder when v is divided by 40.
39
Suppose -3*x - 1 = 2*b, 4*b = -5*x + 3*x + 2. Suppose 2*i = 3*g + 21, 4*i = g + 2*g + 27. What is the remainder when 1/(3*b/21) is divided by i?
1
What is the remainder when (3/(-2))/(16/(-1248)) is divided by 30?
27
Suppose -5*x - 5*t + 110 = -0*x, 2*t + 37 = x. Calculate the remainder when 106 is divided by x.
25
Suppose 5*v + 293 = -r, 2*v - r = -159 + 46. Let h = v - -113. Let i = 43 - 24. Calculate the remainder when h is divided by i.
17
Suppose 0 = 2*i - 6*i + 500. What is the remainder when i is divided by 16?
13
Suppose 5*x = 5*a + 150, -11*x + 8*x - 2*a + 75 = 0. Calculate the remainder when x is divided by 2.
1
Let x = 32 + -21. Suppose 3*s + s - 3*b = 187, -2*s + 96 = -2*b. What is the remainder when s is divided by x?
10
Let i(b) = 11*b - 9. Let q be (6 - -14)*2/5. What is the remainder when i(q) is divided by 27?
25
Let w = -16 + 31. What is the remainder when w is divided by 8?
7
Suppose 4*u + 4*a = 4, u + 4*a = -2*u + 8. Calculate the remainder when 19 is divided by -2*(10/u - 3).
8
Suppose -24*l + 21*l = -6. Calculate the remainder when 6 is divided by l.
0
Calculate the remainder when 34 is divided by (-1)/(-2) + 74/4.
15
Let o = -23 - -25. Suppose 0 = -r + 4*r - 15. Suppose i - 25 = -r*l + 3*i, 5*l - 5*i - 25 = 0. Calculate the remainder when l is divided by o.
1
Let d = -3 - -53. Let u = d - 29. Calculate the remainder when 82 is divided by u.
19
Suppose 0 = -2*o - 2*o + 288. Suppose -50 = -5*z - 2*b + 43, -o = -4*z - b. Calculate the remainder when -1 + (-11)/(-2)*6 is divided by z.
15
Calculate the remainder when (4/(-3))/((-2)/3) is divided by 2.
0
Suppose 4*j + n - 6*n - 15 = 0, 2*j = -n + 25. Let p(s) = 4*s**2 - 2*s - 2. Calculate the remainder when p(3) is divided by j.
8
Suppose 4*r - 16 = 0, 4*x + 0*r - 4*r = -4. Suppose x*q = 35 + 10. Calculate the remainder when 29 is divided by q.
14
Suppose r = 3*n - 9, -4*n - n + 15 = 2*r. Calculate the remainder when 9 is divided by (6 - r/3) + -3.
0
Suppose 5*x + 0 = 2*i + 6, -2*i - 4 = -4*x. Let u(q) = 9*q**2 + 3*q - 1. Calculate the remainder when u(i) is divided by 14.
13
Let d(y) = 14*y**2 - 1. Let u = 13 - -6. Calculate the remainder when d(-2) is divided by u.
17
Suppose v = 5 - 34. Let f = -16 - v. What is the remainder when 48 is divided by f?
9
Let s(h) be the first derivative of h**3/3 - 13*h**2/2 - 5*h + 5. What is the remainder when s(15) is divided by 13?
12
Suppose 4*r - g - 308 = 0, 0 = 5*r + 4*g + g - 385. What is the remainder when r is divided by 40?
37
Let n = -31 + 41. Calculate the remainder when n is divided by 3.
1
Let p(n) = n**2 + n - 2. 