
1
Suppose 29 = 3*b + z, 4*b + 2*z = 3*z + 34. Calculate the remainder when 34 is divided by b.
7
Let v = 7 - 6. Calculate the remainder when 7 is divided by 3*(-6)/(-9) + v.
1
Let b be ((-18)/(-45))/(1/5). Suppose 2*p + 450 = 5*h, 2*h + p - 179 = b*p. Calculate the remainder when h is divided by 31.
30
Let w(i) = -3*i**2 + 11 - i + 5 - 2*i**2 + 4*i**2. What is the remainder when 63 is divided by w(0)?
15
Suppose f = -0*f. Suppose f*x - 21 = -3*x. What is the remainder when x is divided by 3?
1
Let o = 170 + -154. What is the remainder when 79 is divided by o?
15
Suppose 9 = 4*z + 33. Let u be (245/15)/(2/z). Calculate the remainder when 50 is divided by u/(-3) - (-2)/3.
16
Let j = 1 + 4. Let d = 14 - j. What is the remainder when d is divided by 2?
1
Suppose 4*a + 80 = 96. What is the remainder when 12 is divided by a?
0
Let n = 30 + -22. What is the remainder when 14 is divided by n?
6
Suppose -5*b + 4*b = -5*z + 108, -4*z + 5*b + 99 = 0. Suppose -5*t + z - 117 = -4*u, -t = -3*u + 72. What is the remainder when 71 is divided by u?
23
Suppose -2*d = -4*h - 22, -5*h = -2*d + 3 + 24. Let c = 6 + d. Calculate the remainder when (-10)/4*(-11 - -3) is divided by c.
6
Suppose 26*p - 40 = 22*p. Calculate the remainder when p is divided by 6.
4
Calculate the remainder when (1 + 138/3)*1 is divided by 16.
15
Let r(h) be the second derivative of h**4/12 - h**3 + 3*h**2 + 4*h. Calculate the remainder when r(-6) is divided by 20.
18
Let k(n) = -n**2 + 7*n - 3. Let r be k(6). Suppose w - 20 - r = 0. Calculate the remainder when w is divided by 8.
7
Suppose 0 = -3*u + 12. What is the remainder when u is divided by 3?
1
Let c(z) = 4*z. Let l be c(1). Suppose k + 2 = -3, l*m - k = 29. Calculate the remainder when 11 is divided by m.
5
Suppose -3 = -4*u + 93. Suppose -3*l = -2*l - 2. Suppose 2*s = 3*z - 41, -2*s - 2 = l*z - 26. Calculate the remainder when u is divided by z.
11
Let s(a) = a**2 + 8*a + 6. Let p be s(-7). Let j be (4/10)/(p/(-90)). What is the remainder when 35 is divided by j*2/(12/3)?
17
Let t(l) = 2*l**3 - 8*l**2 + 7*l + 7. Let y be t(7). Suppose 2*k = -0*k + y. Suppose -7*h = -2*h - k. What is the remainder when h is divided by 12?
11
Let t be (-104 + -6)*(-12)/(-5). Calculate the remainder when ((t/(-2))/3)/2 is divided by 8.
6
Let k(l) = l**3 - 3*l**2 - 15*l + 12. What is the remainder when 149 is divided by k(6)?
29
Let b(j) = j**2 + 5*j + 4 - 5*j + 4*j. Let r be b(-4). Suppose -3*o + r*a = -42, 2*a + 0*a - 34 = -4*o. Calculate the remainder when o is divided by 6.
4
Calculate the remainder when 75 is divided by (-1)/1*(-8 + -11).
18
Let f = 69 - 109. Let u = 57 + f. Calculate the remainder when u is divided by 6.
5
Suppose -3*i - i + 3*x = -388, 2*i - 176 = -3*x. Let r be (-6)/(-27) + i/(-18). Let f = 5 - r. What is the remainder when f is divided by 4?
2
Let z(u) = -u**2 + 5*u + 3. Suppose 10 - 30 = -5*n. What is the remainder when z(4) is divided by n?
3
Suppose 2*v = 117 - 1. What is the remainder when v is divided by 10?
8
Let d = -138 - -146. What is the remainder when 19 is divided by d?
3
Calculate the remainder when -43*(2 - 3)/1 is divided by 4.
3
Suppose 3 = -4*o + 19. Calculate the remainder when 19 is divided by (-448)/(-44) + o/(-22).
9
Let j = -4 + 4. Let q(c) = 3 - 3 + 20 - 2*c + 3*c. What is the remainder when 38 is divided by q(j)?
18
Let d = 6 - -1. Calculate the remainder when d is divided by 4.
3
Suppose 0 = 21*r - 18*r - 981. What is the remainder when r is divided by 41?
40
Suppose 4*c + 8 = 6*c. Let o(m) = -m**3 + 2. Let z be 6/(-2) + -1 + 4. What is the remainder when c is divided by o(z)?
0
Suppose 5*k + 303 = -132. Suppose 8 = 5*c - c. What is the remainder when ((-12)/18)/(c/k) is divided by 10?
9
Suppose -y + 44 = 2*y + 4*a, 0 = -2*y - 3*a + 31. Calculate the remainder when y is divided by 3.
2
Let h be 4/(-6)*9/(-3). Suppose h*q - 78 - 36 = 0. Calculate the remainder when q is divided by 12.
9
Let v = 12 - 27. Let l be ((-8)/5)/(6/v). Calculate the remainder when 12 is divided by l/(-6) - (-23)/3.
5
Let m(c) = c**3 + 3*c**2 - 4*c + 2. Let o be m(-4). Let x = 38 - 6. Calculate the remainder when x is divided by (-22)/(o*(-3 + 2)).
10
Suppose 0*s = -4*s + 296. What is the remainder when s is divided by 9/(-63) - 1232/(-49)?
24
Let v be (-1796)/(-10) + 14/35. Let p = -115 + v. Calculate the remainder when p is divided by 22.
21
Let z(p) = 2*p**2 + 16*p - 22. What is the remainder when 32 is divided by z(-10)?
14
Suppose 8*h - 80 = 3*h. What is the remainder when 31 is divided by h?
15
What is the remainder when (-3)/6*2 + 50 is divided by 13?
10
Let j(t) = -3*t + 4. What is the remainder when 12 is divided by j(0)?
0
Let g(w) = -w + 10. Let j be g(6). Suppose -176 = -j*d + 4*r, d + 4*r + 0*r - 44 = 0. Let u = -34 + 49. What is the remainder when d is divided by u?
14
Let r = 35 + -9. Let p = r + -16. Let w(h) = -h**3 + 9*h**2 + 13*h - 3. What is the remainder when w(p) is divided by 10?
7
Suppose 0 = -t + 2 + 6. Suppose -2*j = -a - 45, -j - a + 12 = -9. What is the remainder when j is divided by t?
6
Let z(t) = -2*t + 2*t - t - 2 + 1 + 6*t**2 + t**3. Let i be z(-6). Suppose 3*l = i + 52. Calculate the remainder when l is divided by 10.
9
Let t(w) = -w**3 + 4*w**2 + 4*w - 7. Let x(d) = -d + 17. What is the remainder when t(4) is divided by x(14)?
0
Suppose 3*x - 21 = 2*h + h, -5 = h. Suppose -5*g + 24 = x*c, -c + g + g = -30. Calculate the remainder when 43 is divided by c.
21
Suppose -d - 29 = -v, 2*v = -2*v + 3*d + 117. Let k = -3 - -19. Calculate the remainder when v is divided by k.
14
Let n(z) = -z**3 + 22*z**2 + 25*z - 23. Calculate the remainder when 65 is divided by n(23).
19
Let y(m) = 13*m**3 + 1. Let n be 8*(-3)/(-6) + -3. What is the remainder when 40 is divided by y(n)?
12
Let z(c) = -3*c. Suppose 2*s - 4 + 2 = 0. Let w be z(s). Calculate the remainder when 51 is divided by -3 + w*(-7)/1.
15
Let h(f) = 2*f**2 + 4*f + 2. Let b be h(-3). Let t = b + 19. Suppose 4*g - 72 = -4*x, -t + 71 = 2*x + 4*g. Calculate the remainder when x is divided by 5.
4
Let k(r) = r**3 - 6*r**2 + 7*r + 2. Let n be k(5). Calculate the remainder when 19 is divided by 130/12 + 2/n.
8
Suppose 0 = -2*y + 2*j - 6, -j = -3*y + 4*j - 11. Suppose -2*c - f = -30, 4*c - 46 = 5*f - 0. Calculate the remainder when -26*(-3)/(-6)*y is divided by c.
12
Suppose 0 = 3*i, 42 = 4*k - 2*i - 2. Let j = 5 - 4. Let y = 3 + j. What is the remainder when k is divided by y?
3
Let k(w) = 6*w - 4 - 4*w**2 + 0*w + w**3 - 2*w. What is the remainder when k(4) is divided by 5?
2
Suppose 0*y = y. Let b = 9 + y. Let h(n) = -3*n + 17. Calculate the remainder when h(-3) is divided by b.
8
Let f = 11 + -7. Let j = 7 + f. Calculate the remainder when 41 is divided by j.
8
Let p(a) = a + 11. Let t be p(-8). Suppose -163 = -4*h + 5*j, j + t = -0. What is the remainder when h is divided by 19?
18
Suppose -4*q - 39 = -7*q. What is the remainder when 63 is divided by q?
11
Let p(z) = 5*z**2 + 2*z + 3. Suppose 2*w + 385 = 9*w. Calculate the remainder when w is divided by p(-2).
17
What is the remainder when 58 is divided by (-4)/6 + (-806)/(-39)?
18
Suppose 0 = 4*x - 345 - 3. What is the remainder when x is divided by 22?
21
Suppose 0 = 4*k + 3*p - 111, 0*k = -5*k - p + 136. Suppose -d - 5 = -k. What is the remainder when d is divided by 6?
4
Let c(u) be the third derivative of u**5/10 + u**4/4 + u**3 - 2*u**2. Calculate the remainder when c(-4) is divided by 20.
18
Let b(c) = c. Suppose 0 = -2*t + 4. Let m be b(t). What is the remainder when (-27)/m*4/(-6) is divided by 6?
3
Let a be 4/(-18) + (-263)/(-9). Let m = -2 + a. Calculate the remainder when m is divided by 360/26 - 6/(-39).
13
Let v(x) be the third derivative of -4/3*x**3 + 1/30*x**5 - 2*x**2 + 0 + 0*x + 1/4*x**4. Calculate the remainder when v(-6) is divided by 15.
13
Let r be (-12)/(-54) - 850/18. Let t = r - -81. Suppose -4*h - 10 = -t. Calculate the remainder when 10 is divided by h.
4
Suppose 0*z - z - 26 = 0. Let h = z - -37. Let w = h + -4. Calculate the remainder when w is divided by 4.
3
Calculate the remainder when (3 - -39)/3 - 3 is divided by 7 + (1 + -2)*1.
5
Suppose 6*r - 4*r = -3*x + 12, -r = x - 4. Suppose r = -3*k - 13 + 43. What is the remainder when k is divided by 4?
2
Let n = -66 -