0
Suppose 11*a = 12*a - 3. What is the remainder when 3 is divided by a?
0
Let j = -5 - -15. What is the remainder when 49 is divided by j?
9
Let k(q) = 2*q**2 + 2*q - 2. Suppose 3*g = -2*m - 2*m + 204, -m = 4*g - 38. Suppose 0 = -4*s + s + m. What is the remainder when s is divided by k(-3)?
8
Suppose 2*s - 155 = -3*s. Suppose 4*z = -4, 23 + s = 5*v + z. What is the remainder when v is divided by 4?
3
Let k(q) be the third derivative of 2*q**4/3 + q**3/6 + q**2. What is the remainder when k(1) is divided by 9?
8
Let z = 4 + 1. Suppose -5*y + 39 = 3*q, z*y + q - 21 = 12. Suppose 4*l - y = -m - 0, 4 = 4*m - 4*l. Calculate the remainder when m is divided by 1.
0
Let p(n) = 12*n - 28. Calculate the remainder when (-37 + -1)*(-3)/3 is divided by p(4).
18
Suppose -5*n - 2*r + 90 = 3*r, 2*r - 56 = -3*n. Calculate the remainder when n is divided by 7.
6
Let b = -57 - -102. Let k be 2*(1 - b/2). Let s = k - -65. What is the remainder when s is divided by 12?
10
Let d(q) be the first derivative of -2 + 4*q**2 + q + 1/4*q**4 - 7/3*q**3. What is the remainder when 25 is divided by d(6)?
12
Let j(d) = d + 5. Let q be j(-3). Suppose x - 28 = -q*a + 5*x, 47 = 4*a - 5*x. Let w(l) = l**2 + 6*l + 8. Calculate the remainder when w(-7) is divided by a.
7
Let o = -36 + 65. Suppose o = 3*x - 58. What is the remainder when x is divided by 6?
5
What is the remainder when 33 is divided by ((-34)/(-10))/(5/25)?
16
Suppose 0 = 3*g - 23 - 19. Calculate the remainder when 40 is divided by g.
12
Let l = -22 - -48. Calculate the remainder when l is divided by (-4134)/(-424) + (0 + -2)/(-8).
6
Suppose 12 = 2*h + 2. Calculate the remainder when h is divided by 1.
0
Suppose j + 6*w + 6 = 2*w, -3*w = -j + 8. Calculate the remainder when 3 is divided by j.
1
Let x(r) = r**3 + 8*r**2 + 6*r + 4. Let o be x(-7). Calculate the remainder when (70 - 0) + (o - 13) is divided by 18.
14
Let u = -94 - -119. What is the remainder when 48 is divided by u?
23
Suppose 0*r - r = -13. Let u = -36 + 61. Calculate the remainder when u is divided by r.
12
Calculate the remainder when (-5)/((-5)/136) - -3 is divided by 35.
34
Calculate the remainder when 38 is divided by ((-21)/(-2))/((-33)/(-44)).
10
Suppose -4*o = 3 + 229. Let y = -6 - o. Calculate the remainder when y is divided by 18.
16
Let j(r) = -2*r**3 - 2*r**2 - 2*r + 1. Let z be j(-2). Suppose 2*s + 4 = -2*s. Let k = s + z. Calculate the remainder when 23 is divided by k.
11
Let f(w) = -5*w + 4. Let k(n) = n**3 + 6*n**2 - n + 4. What is the remainder when f(-3) is divided by k(-6)?
9
Let a = -30 - -114. Calculate the remainder when 26 is divided by (5/15)/(2/a).
12
Calculate the remainder when (-12)/(-4) + 3/(3/35) is divided by 2.
0
Suppose 4*f - a - 155 = 4*a, 119 = 3*f - a. Calculate the remainder when f is divided by 14.
12
Suppose 3*t - 3*u - 42 = 0, 3*t - 2*t = 2*u + 15. What is the remainder when 15 is divided by t?
2
Let l(f) = -3*f**3 - 5*f**2 + 17. What is the remainder when l(-5) is divided by 45?
42
Let f = 15 + -9. Suppose -f*n = -5*n - 20. Calculate the remainder when 38 is divided by n.
18
Suppose -12 = -3*z, -4*z + 16 = 2*w + 2*w. Suppose -u = 0, 24 = -2*o - 4*u - 2. Let v = w - o. Calculate the remainder when 24 is divided by v.
11
Suppose -2*w = t - 36, 2*w + 2*t = 35 + 1. What is the remainder when 141 is divided by w?
15
Let a be (-28)/(-6) - (-2)/(-3). Suppose 0 = v - a*y - 31, 3*v + y = 7*v - 169. Let m = v + -23. What is the remainder when 39 is divided by m?
19
Suppose -2*m + m = -6. Suppose -30 = 5*w - 110. What is the remainder when w is divided by m?
4
Let i(b) be the first derivative of -b**4/4 - 2*b**3 - 3*b**2/2 - 9*b - 1. Let k(h) = h + 4. Let d be k(-10). What is the remainder when 25 is divided by i(d)?
7
Suppose -2*i = -i - 24. Suppose -5*k + 3*k = 2*g - i, 5*k + 15 = 0. What is the remainder when g is divided by (-7 + -1)/1*-1?
7
Let c(q) = -q**2 - 7*q + 4. Let j be c(-7). Suppose -5*h = -20, -j*h + 26 = 2*a - h. What is the remainder when a is divided by 2?
1
Suppose 0 = 4*d - 2*o - 8, 3*d + 5*o = -d + 22. Suppose -d*c + 90 - 12 = 0. What is the remainder when 77 is divided by c?
25
Let a = -37 - -57. What is the remainder when a is divided by 7?
6
Let m(v) = 22*v. Let r(t) = t - 2. Let l be r(3). Let a be m(l). Let i = 33 - a. Calculate the remainder when 21 is divided by i.
10
Let u(t) = 10*t - 10. Calculate the remainder when u(7) is divided by 16.
12
Let c(j) = -32*j - 4. Calculate the remainder when 80 is divided by c(-1).
24
Suppose -4*d - 2*s = -76, 0 - 8 = 4*s. Suppose -v = 3*v - 316. Calculate the remainder when v is divided by d.
19
Let c be 1/(-1 - 1 - -3). Let g(k) = k**3 - k**2 + 2*k - 1. What is the remainder when 1 is divided by g(c)?
0
Let c = -54 - -70. What is the remainder when c is divided by 11?
5
Let p = -5 + 22. Suppose 0 = -f + p + 12. Let x = -10 + 20. What is the remainder when f is divided by x?
9
Let v(m) = -7*m**2 + 2*m + 2. Let j be v(2). Let y = j + 31. Calculate the remainder when y is divided by 5.
4
Suppose 3*p + 0 = 105. Let j = p + -20. Suppose 3*q = -0*q + 87. Calculate the remainder when q is divided by j.
14
Suppose 17*b - 33 = 14*b. Calculate the remainder when 65 is divided by b.
10
Let n(m) = m**2 + m + 3. Suppose t - 16 = -4*x, 3*t - 15 = -5*x + 12. What is the remainder when 66 is divided by n(t)?
20
Let u be (-4)/6 - (-40)/15. Calculate the remainder when ((-246)/(-15))/(u/10) is divided by 21.
19
Let b be 8/20 - 456/(-10). Let g = b - 26. Suppose -4*j = 4*m - 331 + 87, -299 = -5*j - 2*m. Calculate the remainder when j is divided by g.
19
Let b(m) = -2*m**3 + 13*m**2 - 5*m + 1. What is the remainder when 60 is divided by b(6)?
4
Let q(g) = -g**3 - 13*g**2 - 15*g - 11. Let h(l) = -l**2 - 9*l - 5. Calculate the remainder when q(-12) is divided by h(-7).
7
Suppose t = 2*t - 14. Calculate the remainder when 26 is divided by t.
12
Suppose -i + 72 = 3*w, 3*w = -0*w - 3*i + 78. Suppose -17 = 2*o - f, -3*f + w = -3*o - 4*f. Let j = o + 26. Calculate the remainder when j is divided by 7.
4
Suppose 2*h + 0*h = 22. Let m = 58 - h. What is the remainder when m is divided by 16?
15
Suppose -3*h + 19 = -5*c, -3 - 42 = -5*h - 5*c. Calculate the remainder when 14 is divided by h.
6
Suppose j = -4*k + 34, k - 5*k = 4*j - 40. What is the remainder when 15 is divided by k?
7
Let h(i) = 7*i - 4. Let o(f) = -8*f + 5. Let t(p) = -7*h(p) - 6*o(p). Let y be t(0). What is the remainder when (1 + y)*(-28 + -1) is divided by 10?
9
Suppose 5*f = 4*f + 14. Let u be (-2)/7 - (-4)/f. Suppose 2*r + 2*r - 88 = u. What is the remainder when r is divided by 8?
6
Let v be (21/6)/(1/2). Let p = -6 + v. Calculate the remainder when 2 is divided by p.
0
Suppose 0*o + 5*g - 12 = -o, -4*o + 12 = 2*g. Calculate the remainder when ((-16)/20)/((-2)/10) is divided by o.
0
Let h(d) = d. Let r be h(0). What is the remainder when 33 is divided by 18 + 0 + r + -1?
16
Suppose 0 = -4*v + 516 - 120. Calculate the remainder when v is divided by 25.
24
Let l = 6 + 16. What is the remainder when 86 is divided by l?
20
Suppose -139 - 181 = -4*o. Suppose 4*q + 3*g - o = 0, -2*g - 13 = -q - g. Calculate the remainder when q is divided by 6.
5
Suppose -w - 3*w = -2*d - 54, 5*w = 2*d + 65. Suppose 2*f = 33 + 7. What is the remainder when f is divided by w?
9
Let f = 7 - 4. Suppose f*r = 5*r - 20. Calculate the remainder when r is divided by 3.
1
Let g(d) = -2*d - 10. Calculate the remainder when ((-3)/(-6))/(1/34) is divided by g(-10).
7
Let c = 159 + -115. Calculate the remainder when c is divided by 16.
12
Let t = 14 - 10. Suppose -4*b - 11 = -31. Calculate the remainder when b is divided by t.
1
Suppose -3*j = j - 12. Suppose 2 = -j*y + 8. Calculate the remainder when 4 is divided by y.
0
Let g(q) = q**3 - 4*q**2 + 3*q - 4. Calculate the remainder when 13 is divided by g(4).
5
What is the remainder when 23 is divided by (-2)/(-3 - 44/(-16))?
7
Suppose 0 = -17*a - 3*a + 240. Calculate the remainder when a is divided by (-1)/(-1)*21/3.
5
Let p be 0/(4/(-2 - 0)). Suppose a - 3*a + 8 = p. Suppose -2*d + 33 = a*m + d, -4*m = -4*d - 40. Calculate the remainder when m is divided by 5.
4
Let y = -16 - -40. Let z = -1 + y. What is the remainder when z is divided by 12?
11
Calculate the remainder when (-151)/(-5) - 2/1