
16
Let a = 19 + -4. Suppose -36 = -3*z + 3*c, 5*z + 0*c + 4*c = a. Let j = -5 + 8. What is the remainder when z is divided by j?
1
Suppose -4*k - 14 = -70. Calculate the remainder when 25 is divided by k.
11
Let n(z) = 15*z - 7. Calculate the remainder when n(4) is divided by 14.
11
Let f(v) = -v**3 - v - 23. Let g be f(0). Let s = 34 + g. Let q(u) = u**3 - u**2 + 21. Calculate the remainder when q(0) is divided by s.
10
Let t(j) be the third derivative of -j**4/12 - j**3/6 + j**2. Suppose 6*b - 7*b - 2 = 0. Calculate the remainder when t(b) is divided by 2.
1
Suppose 4*o - 17 = 3. Suppose 1 = y + 2*m - 3, -3*y - o*m = -11. What is the remainder when y is divided by ((-1)/(-3))/((-2)/(-6))?
0
Suppose 3*b + 3*o = 7*o + 35, b - 8 = 5*o. Let r be (-2)/(4/(-6))*-1. What is the remainder when 40/1 + (r - -1) is divided by b?
12
Let v be (2 - 3)/(1/4). Suppose 0*h + 2*h = 32. What is the remainder when (-1 - -3)*(-94)/v is divided by h?
15
Suppose -2*n + 38 = 3*v, -4*v + 27 = -5*n - 16. Calculate the remainder when 22 is divided by v.
10
Suppose -4*v = -3*h + 3 - 4, 0 = 4*h - v - 16. What is the remainder when 7 is divided by h?
2
Let x be (-9)/(-6) - (-21)/(-6). Let y be (0 + 3)/((-2)/x). Suppose 4*r - y*r - 48 = -4*w, 4*r = 5*w - 81. What is the remainder when 37 is divided by w?
11
Suppose 5*p + 40 = -4*w + 97, -w - 2 = 0. Calculate the remainder when 48 is divided by p.
9
What is the remainder when ((-276)/2)/((-3)/3) is divided by 14?
12
Let x(i) = -i**2 - 5*i + 17. Calculate the remainder when x(-7) is divided by (-1)/(-1) - (-8)/4.
0
Suppose 0 = -3*b - 3 - 15. Let z = -2 - b. What is the remainder when z/(-10) - 96/(-40) is divided by 1?
0
Suppose -3*k + k + 10 = 0. Suppose k*u - 99 = -2*r, 5*u - r + 0*r - 93 = 0. Calculate the remainder when 35 is divided by u.
16
Suppose 4*p - 1 = 3*p. Let a = 4 - 1. Suppose 4*c + a - 7 = 0. Calculate the remainder when p is divided by c.
0
Suppose -4*x + 3*x + 15 = 0. Let t = 72 + -124. Let b = -9 - t. Calculate the remainder when b is divided by x.
13
Let o(r) = -9*r - 15. Let t(l) = -13*l - 22. Let u(s) = 8*o(s) - 5*t(s). What is the remainder when u(-4) is divided by 7?
4
Suppose -4*o + 2*o + 32 = 0. Suppose 4*k - 37 = -3*z, -z + 3 = 3*k - o. Calculate the remainder when 12 is divided by z.
5
Suppose q + 5 = 22. Calculate the remainder when q is divided by 5.
2
Suppose -4*f + 3*u - 8 = 0, 3*f + 6 = u - 5*u. Let x = -2 + 5. Let b = f + x. What is the remainder when 1 is divided by b?
0
Let o(t) be the third derivative of t**5/60 - t**3/2 + t**2. What is the remainder when o(5) is divided by 12?
10
Let m(v) = -v + 11. Suppose 19 - 4 = d - 4*r, 2*d + 5*r = 82. What is the remainder when d is divided by m(0)?
9
Let n be 1 - (-2 + (-2 - 1)). Let w = n + -6. Suppose 4*r - 32 = -w*r. Calculate the remainder when r is divided by 5.
3
Let w be (3/(-5))/(1/(-5)). Suppose w*u - 6 = 2*u. Suppose -23 = -c + 3*g, -4*c + 5*g - 2*g + 56 = 0. What is the remainder when c is divided by u?
5
Suppose 5 - 1 = v. Suppose -3*p + 3 = -2*f, 9*f - p = 8*f. Calculate the remainder when v is divided by f.
1
Suppose 35*x - 9 = 34*x. What is the remainder when x is divided by 3?
0
Suppose -2*b + 1 = 3, -4*b - 1 = h. Suppose 7*a - 55 = 2*a - 3*t, h*a - 3*t - 9 = 0. What is the remainder when a is divided by 3?
2
Let d = 52 + -74. Let k = 36 + d. Let t(m) = 9*m - 5. What is the remainder when t(5) is divided by k?
12
Suppose 22 = 5*t + 3*q, -4*q + 3*q - 6 = -5*t. Calculate the remainder when t is divided by ((-2)/(-6))/((-2)/(-12)).
0
Let n(k) = 3*k - 6. Suppose -124*d = -125*d + 9. Calculate the remainder when n(7) is divided by d.
6
Let u be (-171)/(-15) - 6/15. Suppose u = -5*y + 116. What is the remainder when 62 is divided by y?
20
What is the remainder when 87 is divided by 84/9 + 6/9?
7
Let u(y) = -y**3 + 7*y**2 - 7*y + 10. What is the remainder when 117 is divided by u(4)?
27
Let b = -110 - -118. Calculate the remainder when 38 is divided by b.
6
Suppose -16 + 10 = -2*i. Suppose l + i*l = 116. What is the remainder when 55 is divided by l?
26
Suppose -38 - 1142 = -10*w. Calculate the remainder when w is divided by 24.
22
Let w(u) = 2*u - 4. Let t be w(5). Let a(x) = x + 28. Calculate the remainder when a(0) is divided by (21/(-14))/(t/(-40)).
8
Suppose 0 = -5*o - 4 - 6. Let g = 0 + o. What is the remainder when 34 is divided by ((-3)/g)/((-2)/(-24))?
16
Let d be (-3 - -4) + -2*1. Let a(b) = 4*b**2 - 2*b + 2. What is the remainder when (36 + 4)*(2 + d) is divided by a(2)?
12
Let p(k) = -4*k - 3. Let j be p(-2). Suppose j - 52 = -h. What is the remainder when h is divided by 16?
15
What is the remainder when 8 is divided by (-4)/((-32)/(-20))*-2?
3
Suppose -3 - 3 = -z. Let q = 5 + z. What is the remainder when q is divided by 4?
3
Suppose t - 2 = -5*j + 36, -4*t = j. Calculate the remainder when 21 is divided by j.
5
Let u(i) be the second derivative of i**3/3 + i**2/2 + 3*i. Calculate the remainder when 13 is divided by u(3).
6
Suppose 6 = -14*x + 15*x. Calculate the remainder when 22 is divided by x.
4
Let l = -60 + 92. Calculate the remainder when ((-114)/(-8))/(12/l) is divided by 52/6*3/2.
12
Suppose 2*y - 153 - 167 = 0. Suppose 3 = -2*d - 5, 3*d + y = 4*c. Suppose 19 = x - 0. What is the remainder when c is divided by x?
18
Let d(t) = -t**2 + 12*t - 13. Let i be d(9). What is the remainder when 64 is divided by (i - (-4 + 3)) + -2?
12
Let n = 7 - 4. Suppose 4*z = -4*u + 144, u = 5*u - n*z - 179. What is the remainder when u is divided by 22?
19
Let b(g) = g + 7. Let p be b(-6). Suppose 3 = -a - p. Calculate the remainder when (86/a + 0)*-2 is divided by 15.
13
Calculate the remainder when 127 is divided by (-2)/(-3) - (-752)/24.
31
Let a = 10 + -14. Calculate the remainder when -27*2/a*2 is divided by (1 + 12/(-9))*-45.
12
Let d = 13 - 9. Suppose -3*k - 6*o + d*o = -30, -o - 40 = -4*k. What is the remainder when k is divided by 6?
4
Suppose -94 = -4*l + 34. Calculate the remainder when l is divided by 3.
2
Calculate the remainder when (-44)/(-3) - (-5)/15 is divided by 4.
3
Let m = 8 - -6. Let w(p) = -p + 5. Let v be w(0). Let c = v - 0. Calculate the remainder when m is divided by c.
4
Suppose i + 0*i - 29 = 0. What is the remainder when i is divided by 16?
13
Suppose -160 = -3*g + 2*g. Suppose 9*n = 5*n + g. Let v = 22 + -8. Calculate the remainder when n is divided by v.
12
Calculate the remainder when 199 + (-6)/(-3) + -5 is divided by 33.
31
Suppose d = -v + 18, -3*d + 40 = -d + 4*v. Calculate the remainder when 53 is divided by d.
5
Suppose 22 = j - 5*s, 32 = 6*j - j + s. What is the remainder when 24 is divided by j?
3
Let h(t) = -2*t**3 - 2*t**2 + 4*t + 5. Suppose -3*z + 21 = -0*z. Calculate the remainder when z is divided by h(-2).
2
Let m = -11 + 25. Let w(r) = -r**3 - 15*r**2 + 1. Let p be w(-15). What is the remainder when 10 + 15 + (p - 1) is divided by m?
11
Suppose -6 - 6 = -2*f. What is the remainder when 82/(-3)*(-9)/f is divided by 14?
13
Suppose 0 = -j - j - 12. Calculate the remainder when 10 is divided by (8/(-3))/(j/9).
2
Suppose 3*t + 5*i + 1 - 9 = 0, -t = 2*i - 3. What is the remainder when (-6)/3 - -9 - -2 is divided by -10*(1/(-2))/t?
4
Suppose d - 6*d = -105. Suppose 0*k = 5*k - 10. What is the remainder when d is divided by ((-6)/18)/(k/(-48))?
5
Suppose -271 = -5*h - 4*m + 180, -4*m + 16 = 0. Suppose 4*u - 205 = -4*j + h, 0 = 5*j. What is the remainder when u is divided by 25?
23
Suppose -2*r = -r + 10. What is the remainder when (-344)/r - (-2)/(-5) is divided by 12?
10
Suppose -7*g + 196 + 175 = 0. Calculate the remainder when g is divided by 18.
17
Calculate the remainder when 112/24*(-30)/(-4) is divided by 12.
11
Let z(s) = -3 - 5 + s - 5 + 5. What is the remainder when 10 is divided by z(11)?
1
Let r(u) = u**3 - 10*u**2 + u - 8. Calculate the remainder when 10 is divided by r(10).
0
What is the remainder when 4*((-7)/(-2) - -1) is divided by 11?
7
Let x = -16 - 14. Let o = x + 64. What is the remainder when o is divided by 12?
10
Suppose 41 + 9 = 5*k. Calculate the remainder when 28 is divided by k.
8
Suppose -2*i - 68 = -90. Calculate the remainder when 108 is divided by i.
9
Suppose 0 = 6*l + 22 - 130. What is the remainder when 66 is divided by l?
12
Suppose -q + 23 + 10 = 0. Wha