he remainder when 84 is divided by 12/2*-1 + 17?
7
Let x(m) = m**2 + 47*m + 188. What is the remainder when 239 is divided by x(-4)?
15
Calculate the remainder when 240 is divided by 2 + 38 + -5 + 0.
30
Let s = 73 - -7. Suppose 0 = 3*w + w + 4*k - s, -4*k = -w - 5. Let z(p) = -3*p - 9. What is the remainder when w is divided by z(-6)?
6
Let p be 17/34*2*1. Suppose -13 = -4*w - p. What is the remainder when 10 is divided by w?
1
Let p be -705*(2/6)/(6/(-24)). What is the remainder when (6/(-10))/(2/p*-2) is divided by 13?
11
Suppose -7*x + 1633 - 1122 = 0. What is the remainder when 193 is divided by x?
47
Suppose 0 = -4*z + 6 - 18. Suppose -6*u = -u - 70. Calculate the remainder when (-1288)/(-24) + z/(-9) is divided by u.
12
Suppose -2*o - 5*l + 2 = 8, o = -5*l + 2. Let y(m) = -6*m + 4. Calculate the remainder when 102 is divided by y(o).
50
Suppose 4*d + 2*j - 728 = 0, 5*d - 4*d - 2*j = 172. What is the remainder when (d/(-48))/((-3)/20) is divided by 14?
11
Suppose -m + 27 - 2 = 0. Suppose -u - 5*a = u - 7, -2*u = -a - m. What is the remainder when 21 is divided by u?
10
Let i(b) = -7*b**2 - 41*b + 7. What is the remainder when 99 is divided by i(-5)?
25
Suppose 67 + 49 = -2*k. Let b = k - -34. What is the remainder when 2*1*(-948)/b is divided by 20?
19
Suppose -2*s - 46 = m, 0*m = m - 3*s + 41. Let p = -25 - m. What is the remainder when p is divided by 5?
4
Let i = 3 + 14. Let n(a) = -a**3 + 7*a**2 + 3*a + 1. Calculate the remainder when n(4) is divided by i.
10
Let b = -687 - -726. Calculate the remainder when 467 is divided by b.
38
Let o = 72 + -127. Suppose a = -2, 112*g = 117*g - a - 3192. What is the remainder when (g/o)/(2/(-5)) is divided by 8?
5
What is the remainder when 39 is divided by (61 + 3)/(6/3)?
7
Suppose 4*j + 5*f - 247 - 248 = 0, 0 = -4*f - 4. Suppose 0 = -9*a + 4*a + j. Suppose -17*o = -11*o - 42. What is the remainder when a is divided by o?
4
Let h = 6 - -8. Let z be 330/11*36/(-10). Let f = z + 163. Calculate the remainder when f is divided by h.
13
Suppose -2*m - 5 = -q, -4*m + 20 = q + 3*q. Suppose -q*o + 2 = -3*o. What is the remainder when 6 + (-32)/(4 - 0) + 4 is divided by o?
0
Suppose -53 = -5*k - 2*i, k + 5 = 2*k - i. Let x be (3/2)/((-1)/(-2)). What is the remainder when k is divided by x + 1 - (-4 - -2)?
3
Suppose 11 = -11*i + 10*i + 5*z, 2*i = 3*z - 1. Calculate the remainder when 53 is divided by i.
1
Suppose 5*w + 4*l + 5 = 0, 11 = 3*w - 4*l - 18. Let b be 38 + -3*(-2)/(-6). Calculate the remainder when 51 is divided by 6/9 + b/w.
12
Suppose 5*f = 14*f - 7425. What is the remainder when f is divided by 14?
13
Calculate the remainder when 140 is divided by (-11362)/(-460) + (-3)/(-10).
15
Let w = 55 + -40. Calculate the remainder when 57 is divided by (-250)/w*(-6)/5.
17
Let g(s) = s**3 + 15*s**2 + s - 13. Let z be g(-15). Let a = 47 + z. What is the remainder when 53 is divided by a?
15
Let f be (4 - (-5 + 3)) + -1. Let b = 7 - f. Suppose 2*d - 2*i + 6*i = 126, 101 = b*d - i. Calculate the remainder when d is divided by 28.
25
Suppose 0 = -4*x, 124 = 5*a + 3*x - 26. Calculate the remainder when 78 is divided by a.
18
Suppose 1489*k = 1503*k - 1652. What is the remainder when k is divided by 8?
6
Suppose 3*h + 6 = -3*b + 3, -b = -4. Let a(q) = -3*q**2 + 5 - 2*q**3 - q**3 + 8*q + 2*q**3. What is the remainder when a(h) is divided by 8?
7
Suppose -3*l - 5*w - 15 = 0, -3*l - 7*w + 4*w - 9 = 0. Suppose l = 2*y + 8 - 48. What is the remainder when y is divided by 7?
6
Suppose -6*o + 5 = -5*o. Suppose o*s = 7 + 108. Let q = -17 + 107. Calculate the remainder when q is divided by s.
21
Let i be (-4 - 15/(-2))*2. What is the remainder when 13 is divided by i + 0 - (-2 + 1)?
5
Suppose 0 = 5*b - 28 - 2. Let j = -12 + 25. Suppose j = c - 10. Calculate the remainder when c is divided by b.
5
Let k(c) = -c**3 + 28*c**2 + 4*c - 33. Suppose 5*p - 299 + 94 = 0. Calculate the remainder when k(28) is divided by p.
38
Let h = 76 - -60. What is the remainder when h is divided by 46?
44
Suppose i + 3*i = 76. What is the remainder when 112 is divided by i?
17
Suppose -2*o - 188*m + 185*m + 260 = 0, -5*o = 2*m - 661. Calculate the remainder when o is divided by 35.
28
Suppose 5*i - 67 = 13. Let u(z) = 6*z**2 - z - 1. What is the remainder when i is divided by u(-1)?
4
Suppose -703 + 303 = -16*r. Calculate the remainder when 2/6 + 742/6 is divided by r.
24
Let v(s) = -8*s + 29. Let z be v(7). Let m = z - -78. Calculate the remainder when 149 is divided by m.
47
Suppose 4 = -5*u - 11, -3*j + 5*u = -291. What is the remainder when 1563 is divided by j?
91
Suppose 4*k + 80 = 4*j - 52, -4*k + 172 = 4*j. What is the remainder when 148 is divided by j?
34
Suppose 4*v - 18 = -5*v. Suppose -5*q + 48 = -v*g, 5*q - 52 = -2*g - 0*g. Calculate the remainder when 45 is divided by q.
5
Let g(r) be the second derivative of r**4/12 + r**3/6 - 13*r**2/2 + 12*r. What is the remainder when g(6) is divided by 8?
5
Suppose -115 = -o - 5*d, -3*o - 7*d + 5*d + 267 = 0. Let v(w) = 45*w - 1. Calculate the remainder when o is divided by v(1).
41
Let f = 34 - 15. Suppose -42*h - 220 = -46*h. Calculate the remainder when h is divided by f.
17
Let g = 4 + -1. Suppose -3*x - 2 = -7*x + 5*n, -g*n = -2*x. Suppose -x*l + 0*l = 4*y - 20, -16 = -2*l - 4*y. Calculate the remainder when 5 is divided by l.
1
What is the remainder when (0 - 1) + (-8 + 14 - -37) is divided by -1*(-1 - -2) - -23?
20
Suppose -180 = -5*w - 5*p, 0 = 4*p - 29 + 17. Calculate the remainder when 114 is divided by w.
15
Suppose -5*u = 2*f - 78, 4*u - 47 = 4*f + 21. Let t = 991 - 818. Calculate the remainder when t is divided by u.
13
Suppose 8*k - 5*k = 411. What is the remainder when k is divided by 20?
17
Let t = -128 - -70. Let c = t + 61. What is the remainder when 7 is divided by c?
1
Suppose -14*m = 3*l - 16*m - 51, -3*m - 84 = -5*l. What is the remainder when 192 is divided by l?
12
Suppose 3*i = -3*y + 51, 2*y - 49 = i - 6*i. Calculate the remainder when 33 is divided by y.
9
Suppose -5*h + s + 29 = 0, -5*h + 2*s = -26 - 2. Calculate the remainder when 3/9*(-828)/(-12) is divided by h.
5
Let l(t) = t**3 + t**2 - 5*t + 7. Let b be l(-6). Let v = b - -360. Suppose 5*x - v + 32 = 0. What is the remainder when x is divided by 13?
11
Let u = -17 - -9. Let y be 2/u - (-42)/8. Suppose 5*r + y = 0, -4*m = 5*r - 1 - 10. What is the remainder when 17 is divided by m?
1
Let f = -75 + 107. Let d = 24 - f. Calculate the remainder when ((-4)/6)/(d/756) is divided by 22.
19
Let w(a) = a + 4. Let n be w(-4). Let z(k) = 6 + k**2 + 43*k - 19*k - 22*k. Calculate the remainder when z(n) is divided by 5.
1
Suppose 4*j = 2*p + 76, 2*j = -3*j - 4*p + 82. Suppose -4*b - j = -r, 46 = 6*r - 4*r - 3*b. What is the remainder when r is divided by (9 + -2)/(0 + 1)?
5
Suppose -3*s + 101 = -3*j + 131, -4*j - 3*s + 5 = 0. What is the remainder when 1049 is divided by j?
4
Suppose 3*i + 3*r = 5*i - 290, -i + 4*r = -155. Suppose -w + 4*a = -32, 216 = w + a + 189. What is the remainder when i is divided by w?
27
Let d(q) = -18*q**3 + q**2 + 2*q. Let w be (-10)/25 - (-6)/(-10). Calculate the remainder when 32 is divided by d(w).
15
Suppose 0*g - 94 = -2*k + 4*g, -3*g = 6. Suppose 0 = 5*a - 0*a + 390. Let o = k - a. Calculate the remainder when o is divided by 31.
28
Let k(v) be the second derivative of v**5/20 + 7*v**4/6 + 25*v**3/6 + 15*v**2/2 + 25*v. What is the remainder when k(-12) is divided by 2?
1
Let o be (-50)/10*44/(4/2). Let h = -82 - o. What is the remainder when 110 is divided by h?
26
Let n(l) = 44*l**2 - 34*l + 36. Let u = -6 + 12. What is the remainder when n(1) is divided by u?
4
Suppose 2*z = 2*w + 80, -4*w + 113 = -3*z + 6*z. Calculate the remainder when z is divided by 16.
7
Suppose -3*l + 3 = -3. Let d = 190 - 194. Let w = d + 14. Calculate the remainder when w is divided by l.
0
Let g = -11 + 16. Suppose -4*j + 16 = 2*q + j, -3*q + 2*j = -g. Suppose q*t = -w - 8, 0*w + 4*t + 17 = 5*w. What is the remainder when 2 is divided by w?
0
Suppose -3*o = 2*i - 77, -i + 0 = -o + 29. Calculate the remainder when 100 is divided by (-1 + -5 - -7)/(1/o).
19
Suppose 3*f = j + 10 + 36, 258 = -5*j + f. Let b = j + 91. Let u(w) = -w**3 - 9*w**2 + 19*w - 12. What is the remainder when b is divided by u(-11)?
