remainder when a is divided by r?
6
Suppose -3*d + 5*d - 80 = 0. Let i = -338 + 237. Calculate the remainder when d is divided by i/(-7) + 3/(-7).
12
Suppose 2*p + q - 67 = 12, -2*p = -q - 89. Calculate the remainder when 163 is divided by p.
37
Let a = -9 - -18. Let g = -6 + a. Calculate the remainder when 4/(-6) + 78/9 is divided by g.
2
Let j(l) be the third derivative of -l**5/60 + l**4/4 + 2*l**3/3 + 3*l**2. What is the remainder when 24 is divided by j(3)?
11
Suppose -5*s + 3*v + 274 = 0, -209 = -7*s + 3*s - v. What is the remainder when s is divided by (9 + 4/(-2))*2?
11
Suppose 2*m = 2*q - 3*m - 56, 4*q - 4*m = 88. Let r(s) = 4*s**2 + 36*s - 7. What is the remainder when r(-10) is divided by q?
15
Suppose b - 37 = 4*t, 2*b = -t + 7 + 22. Calculate the remainder when 31 is divided by b.
14
Let o = -4 + 4. Suppose 3*l - 2*l - 26 = o. Calculate the remainder when l is divided by (-56)/(-6) + (-1)/3.
8
Let c = 14 - -47. Calculate the remainder when c is divided by 16.
13
Let w(a) = 2*a**3 + 8*a - 3. Let r(s) = 2*s**3 + s**2 + 9*s - 3. Let k(p) = -3*r(p) + 4*w(p). What is the remainder when k(3) is divided by 10?
9
Suppose p - c - 148 = -60, 0 = 5*p + 4*c - 476. Suppose -2*g + 5*u + p = 0, 48 = g - 2*u - 0. Calculate the remainder when g is divided by 19.
18
Let i be (-4)/(-6) + (-112)/6. Let j = 43 + i. Suppose -2*n - 3*n + 45 = 0. Calculate the remainder when j is divided by n.
7
Let v(p) = 4*p**3 - 2*p + 5. Let b be v(4). Suppose -4*o - 49 = -b. Calculate the remainder when o is divided by 18.
15
Let w(b) = b**2 - 3*b - 36. Calculate the remainder when 28 is divided by w(-6).
10
Calculate the remainder when (272/51)/(1 + (-2)/3) is divided by 1.
0
Let d = 79 - 61. Calculate the remainder when 69 is divided by d.
15
Let j(v) = -v**3 + 6*v**2 + 4. Let y be (-188)/12 + (-1)/3. Let x = 26 + y. Calculate the remainder when x is divided by j(6).
2
Let i be 9 - -2*(-3)/(-6). Suppose 5*l = -0*o + o + 6, -5*l - i = -5*o. Calculate the remainder when o is divided by 2.
0
Suppose 0 = 5*a - 8 - 7. Calculate the remainder when 6 is divided by a.
0
Let g = 62 + -44. What is the remainder when 11 is divided by (g/21)/((-9)/(-42))?
3
What is the remainder when (1850/(-75))/(4/(-6)) is divided by 15?
7
Calculate the remainder when 2*-70*(-3)/12 is divided by 12.
11
Let w = -17 + 20. Suppose -3*j - w*q = -12, 0*j + 22 = 2*j - 5*q. Calculate the remainder when j is divided by 2.
0
Let v be 5*(-2 + (-18)/(-15)). Suppose 5*b - 40 = -0*r + 5*r, -4*r = -20. What is the remainder when (-5 - (-1 + 2))*v is divided by b?
11
Let l be 0/((-3)/(-3)*-1). Suppose l = 4*n + 4*m - m - 73, -n + 5*m = -1. Calculate the remainder when 30 is divided by n.
14
Suppose 147 = -4*h + 523. What is the remainder when h is divided by 32?
30
Suppose -7*y + 12*y + 35 = 3*o, -3*o + 23 = -2*y. Suppose -3*b - 18 = -4*b. Let r = 27 - b. What is the remainder when r is divided by o?
4
Let l = -109 + 127. Calculate the remainder when 30 is divided by l.
12
Let s(m) = -32*m**3 + 4*m**2 + 4*m + 1. What is the remainder when 98 is divided by s(-1)?
32
Let j = 9 - 4. Suppose 5*d + 72 = 117. What is the remainder when d is divided by j?
4
Let u be ((-18)/(-15))/(12/(-40)). Let d = u + 1. Let n = 8 + d. Calculate the remainder when 8 is divided by n.
3
Let t(a) = -2*a + 2. Suppose 4*m = -l + 74, l + l + 3*m = 143. Let j = -41 + l. What is the remainder when j is divided by t(-4)?
9
What is the remainder when 1173/46*2*2 is divided by (0 - 4)/(8/(-52))?
24
Suppose 4*m - m = 21. Let d = -77 + 115. Suppose -3*q + d = -q. Calculate the remainder when q is divided by m.
5
Let j(p) = -p**2 + 7*p - 2. Let f = 2 - -3. Suppose -n + i + 24 = 0, -2*n + 74 - 34 = 2*i. Calculate the remainder when n is divided by j(f).
6
Let f = -111 - -70. Let l = f + 57. Calculate the remainder when 30 is divided by l.
14
Suppose -f = 2*f - 27. Suppose -2*i + i = -f. Calculate the remainder when 16 is divided by i.
7
Suppose 33*k - 39 = 30*k. What is the remainder when 63 is divided by k?
11
Let i = -20 + 28. Calculate the remainder when i is divided by 3.
2
Suppose -2 + 6 = t. Suppose -4*f + 3*f = -13. Let u = 24 - f. Calculate the remainder when u is divided by t.
3
Suppose -r + 6 = -s, 3*r + 2*s + 24 = 7*r. Calculate the remainder when 9 is divided by r.
3
Let n be -15*((5 - 2) + -4). Suppose 2*l + 3 - n = 0. What is the remainder when 10 is divided by l?
4
Suppose 23 = 4*g + 3*s, 5*g - 1 = -s + 14. What is the remainder when 7 is divided by g?
1
Suppose -13 - 45 = -3*h + 4*c, -4*h + c = -86. Let b(z) = -z**3 + 6*z**2 + 2*z. Calculate the remainder when h is divided by b(6).
10
Let b = 43 - 65. Let d = b - -37. What is the remainder when -2 - (-1)/(1/30) is divided by d?
13
Suppose -2*v + 12*v - 2400 = 0. Calculate the remainder when v is divided by 27.
24
Suppose 3*w = -0*w. Suppose w*q + 3*q - 69 = 0. Suppose 4*m + 4 = -c, 2*c + 4*m + 40 = 4*c. Calculate the remainder when q is divided by c.
11
Let l = -21 + 47. What is the remainder when l is divided by (-105)/(-6)*(-4)/(-5)?
12
Suppose 3*z = -0*z + 3. Calculate the remainder when 25 is divided by 1/z*(-4 - -17).
12
Let y(v) = 38*v**2 - 2*v - 1. Let p be y(-1). Let f = p + -28. Let h(s) = -s**3 - 5*s**2 + 10*s + 3. Calculate the remainder when h(-7) is divided by f.
9
Let i = 19 - 3. Calculate the remainder when i is divided by 8/(-16)*(-17 + -1).
7
Let p = -8 - -34. What is the remainder when p is divided by 7?
5
Suppose 141 - 393 = -9*z. What is the remainder when z is divided by 10?
8
Calculate the remainder when 3 is divided by (3/(-2)*(-8)/(-6))/(-1).
1
Let o(u) = -u**3 + 21. Let v = -3 + 6. Suppose -x + 4*x = -2*a + 177, 0 = -v*a - 9. Calculate the remainder when x is divided by o(0).
19
Let c be 2 + 95 + -1 + -1. Let s = c + -59. Suppose -5*j = -13 - 82. Calculate the remainder when s is divided by j.
17
What is the remainder when (2 - 1)*(5/1 + 74) is divided by 20?
19
Suppose 4*l + 29 = u + 2*l, -4*l = 3*u - 117. Calculate the remainder when u is divided by 12.
11
Let d(o) = o**3 + 8*o**2 + 3*o - 5. What is the remainder when d(-6) is divided by 13?
10
Let t(q) = -q + 3. Let v be t(0). Suppose v*k - 10 = 20. Suppose -3*z = -5*h - 22, 3*z = -h - 0*h + k. Calculate the remainder when 5 is divided by z.
1
Let n be 12/(-10)*20/(-6). Suppose -5*t = -n*t - 60. Suppose 0 = -2*w + t - 6. Calculate the remainder when w is divided by 14.
13
Let u = 0 - -5. Suppose 3*b + 2*k = 7, -3*k + u = -b + 22. Calculate the remainder when 7 is divided by b.
2
Suppose 966 = 13*n - 113. Suppose -4*z = -p - 112, 2*z - 84 = -z - 4*p. What is the remainder when n is divided by z?
27
Suppose -6*l + l = -315. Suppose -36 = -g + 3*g. Let w = g - -34. What is the remainder when l is divided by w?
15
Suppose 2*x - 10 - 36 = 0. Calculate the remainder when x is divided by (2 + (-20)/7)*-14.
11
Let u = -63 + 114. Suppose 2*z + 2 + 2 = 3*t, -8 = -2*z. Suppose -5*m = -5*q - 100, t*q + 40 = 2*m - 4. Calculate the remainder when u is divided by m.
15
Let b be 2/(-3)*-3 - 16. What is the remainder when -1 + (-3 - b)*1 is divided by 6?
4
Suppose i = 3*s + 5, 2*i + 3*i - 3*s - 61 = 0. Let v(y) = 8*y**2 + 2*y - 2. Let u be v(-2). Let b = 1 + u. What is the remainder when b is divided by i?
13
Let n(s) = -13*s - 5. Let p = -13 + 9. Let a be n(p). What is the remainder when 19 is divided by (-2)/(-7) - a/(-7)?
5
Let l = -20 + 36. Let f(r) = -2*r**2 - r - 6. Let w(d) = -d**2 + d - 1. Let o(p) = f(p) - 3*w(p). What is the remainder when l is divided by o(6)?
7
Let f(n) = 3*n**2 + 6*n - 11. Calculate the remainder when f(7) is divided by 30.
28
Let f = 18 - 10. Suppose 5*m = 5*n - 15, 2*m = 3*n - f - 1. Suppose b - 22 = -3*s, -4*s + 3*s = -n*b + 16. What is the remainder when b is divided by 2?
1
Suppose 7*r = 134 + 447. Calculate the remainder when r is divided by 21.
20
Let r = 166 - 148. What is the remainder when 45 is divided by r?
9
Let p = 9 + 8. What is the remainder when p is divided by 20/(-30)*54/(-4)?
8
Let f = 51 - 32. What is the remainder when (-74)/(-2) + 2 + -2 is divided by f?
18
Let d = 32 + 10. Let p = 0 + 0. Suppose 4*q - 2*q - 42 = -3*b, p = 3*b - 4*q - d. Calculate the remainder when 40 is divided by b.
12
Let z(r) = 8*r + 9. Suppose -5*d = -125 + 40. What is the remainder whe