ed by 19.
17
Suppose -75 = 4*q + q. Let l be q/20*4/(-3). Calculate the remainder when l/((-4)/(-64)*4) is divided by 3.
1
Let k(s) = s**3 + 5*s**2 + 4*s. Let t be k(-4). Let h = t - -12. Suppose -3*r + h = -12. What is the remainder when 39 is divided by r?
7
Let k(w) = -w**3 - 10*w**2 + 12*w + 12. Let n be k(-11). Suppose -5*p = 31 - n. What is the remainder when 24 is divided by ((-39)/p)/(6/12)?
11
Suppose d + 5*d - 198 = 0. Let i = 18 - d. Let c(b) = b**3 + 16*b**2 + 14*b + 2. Calculate the remainder when 32 is divided by c(i).
15
Let g(o) = o**2 - 7*o + 2. Suppose -2 = -3*z + 25. Calculate the remainder when 3 + -6 + 3*20 is divided by g(z).
17
Suppose 13*l = 18*l - 685. Calculate the remainder when l is divided by 70.
67
Let m(b) = 6*b**3 - 2*b**2 + b. Let u be m(1). Calculate the remainder when 26 is divided by 2 + (-20)/u + 18.
10
What is the remainder when 105 + 1 + -6 + 4 is divided by 15?
14
Let t be 2 - (-3)/((-3)/(-2)). Suppose -3*d = 3*a, -3 = 3*a - 0*a + t*d. What is the remainder when 9 is divided by a?
0
Suppose 2*w - 85 = 23. Let z = -28 + w. Let q = -14 + 23. Calculate the remainder when z is divided by q.
8
Suppose 20*i - 4323 = -1403. What is the remainder when i is divided by 31?
22
Let l(c) = 8*c - 1. Let b be l(1). Suppose 0 = -2*v + b*v - 135. Suppose 2*n = 39 + v. Calculate the remainder when n is divided by 9.
6
Let o(t) = 7*t + 3*t + 7*t - 16 - 7*t. Calculate the remainder when o(8) is divided by 6.
4
Suppose 61 = -2*c - 41. Let p = 26 - c. What is the remainder when p is divided by 10?
7
Suppose -5*k - y + 208 = -3*k, -k + y + 98 = 0. Let n = -94 + k. What is the remainder when 86 is divided by n?
6
Suppose -4*j + 14 = 3*j. Suppose -5*k = -j*k - 66. Suppose -o - 2 = 4*q - 0*q, 2*o + 3*q = 6. What is the remainder when k is divided by o?
4
Let c(i) = 15*i - 76. What is the remainder when 107 is divided by c(7)?
20
Let q(i) = i**3 - 5*i**2 - 6*i + 2. Let t = -6 + 13. What is the remainder when q(t) is divided by 30?
28
Let p(o) = 4*o**2 + 24*o - 22. What is the remainder when p(-8) is divided by 26?
16
Let k = -230 + 247. Calculate the remainder when 92 is divided by k.
7
Suppose 3*r + b + 1 = -8, -5*r = b + 13. Let m = r + -18. Calculate the remainder when 29 is divided by m*3/(-1*6).
9
Let l(v) be the first derivative of -v**4/4 + 4*v**3/3 + 13*v**2 - 12*v - 19. Calculate the remainder when l(7) is divided by 9.
5
Suppose 5*p = -4*y + 19, -9*p + 14*p + 69 = 4*y. What is the remainder when y is divided by 8?
3
Suppose r - 22 = -r. Suppose 4*s - 35 = -r. Calculate the remainder when 23 is divided by s.
5
What is the remainder when (6/(-10) - 112/(-70)) + 323 is divided by 82?
78
Suppose 57*v - 1834 = 3866. Calculate the remainder when 109 is divided by v.
9
Let s = 59 - 39. Let i = 1213 - 1136. What is the remainder when i is divided by s?
17
Let n = -10 + 60. Let o = -514 - -531. Calculate the remainder when n is divided by o.
16
Let x = 100 - 127. Let u = 20 - x. What is the remainder when u is divided by 8?
7
Let r(u) = 2*u**3 - 2*u + 3. Suppose -5*y = 2*x - 6, -8 = -3*y + 4*x - 3*x. What is the remainder when r(y) is divided by 9?
6
Let z be 8 - (3 + (-4 - (4 + -4))). What is the remainder when 3*(141/z - 2) is divided by 8?
1
Suppose 609 = -20*w + 23*w. Let a(b) = -21*b + 10. Calculate the remainder when w is divided by a(-2).
47
Let s = 0 - -3. Suppose 0*c - s*c = -4*a - 8, 4*a - 4 = 0. Suppose -c*z = -41 - 131. What is the remainder when z is divided by 15?
13
Suppose -x + 16 = -6. Suppose p + 3*s = 26, 2*p - 3*s - x = s. What is the remainder when 65 is divided by p?
14
Let i be 0/(-1) + -2 + -1300 + -4. What is the remainder when i/(-14) - (-8)/(-28) - -2 is divided by 14?
11
Let o = -370 + 397. Calculate the remainder when 187 is divided by o.
25
What is the remainder when (-3828)/(-5) + (-54)/90 is divided by 24?
21
Let x(t) be the third derivative of t**6/120 + t**5/4 + 2*t**4/3 + 8*t**3 - 34*t**2. What is the remainder when 20 is divided by x(-14)?
0
Suppose 0 = r - 0 - 1. Suppose 0 = g - 10 - r. Calculate the remainder when g is divided by (-16)/10*(-45)/18.
3
Let k = 9 - -60. Let z = k + -50. Calculate the remainder when 35 is divided by z.
16
Let d = 146 + -87. Calculate the remainder when 115 is divided by d.
56
Suppose 10*q + 98 - 178 = 0. Calculate the remainder when 142 is divided by q.
6
Suppose 0 = -a - a + k + 33, k - 81 = -4*a. Let j(w) = w - 1. Suppose 75 = 5*m + 4*o - 0*o, 0 = m - 3*o + 4. What is the remainder when a is divided by j(m)?
9
Suppose 5*k + 27 - 127 = 0. Let f = -7266 + 7304. What is the remainder when f is divided by k?
18
Suppose -14*m - 180 = -19*m. Let q = m + 12. Let i = 30 - 13. What is the remainder when q is divided by i?
14
Suppose 2*m - 4*m = -24. What is the remainder when m is divided by 2/(-5)*(-12 - -2)?
0
Suppose -4*z + 179 + 41 = 0. What is the remainder when z is divided by 14?
13
What is the remainder when (58 - (3 + -4))/1 is divided by 19?
2
Let a = 29 - -6. Suppose -a = -g - 10. What is the remainder when g is divided by 7?
4
Let t = 20 + -16. Suppose t*k - 5*k + 84 = 0. Calculate the remainder when k is divided by 29.
26
Suppose -j + 52 = g + 10, -2*j + 100 = -2*g. Let c = -33 + j. Calculate the remainder when 50 is divided by c.
11
Suppose -z - c + 13 = -0*c, -4*z + 70 = -5*c. What is the remainder when 113 is divided by z?
8
Suppose -74*o + 715 = -69*o. Calculate the remainder when o is divided by 29.
27
Let o(b) = 6*b - 58. Let l be o(21). Let r = -49 + l. What is the remainder when 265 is divided by r?
18
Let s(k) = -2*k - 5*k - 4*k**3 - k**2 - 2 + 10*k - 5*k. What is the remainder when 13 is divided by s(-1)?
1
Suppose -62 = -y - 4*z, -4*z + 66 = 2*y - 42. What is the remainder when y is divided by -2*17*1/(-2)?
12
Let c = 216 + -213. What is the remainder when 266 is divided by c?
2
Let y = 1611 - 1590. What is the remainder when 56 is divided by y?
14
Let u(s) = -2*s**3 - 10*s**2 - 10*s + 11. What is the remainder when u(-6) is divided by 75?
68
Let q = -125 + 254. Let j = q + -108. What is the remainder when 40 is divided by j?
19
Let t = 2417 - 1051. Calculate the remainder when t is divided by 24.
22
Suppose 11*m - 4*m = 0. Suppose -3*d + 487 = -m*d + 4*p, -d - 5*p = -144. Calculate the remainder when d is divided by 17.
16
Suppose 118 = 13*y + 1. What is the remainder when 79 is divided by y?
7
Let k(x) = x**3 + 12*x**2 + 5*x - 29. What is the remainder when 182 is divided by k(-11)?
34
Suppose -3*q + 47 = -1. Suppose -3*m = -m - q. Suppose -g = g - m. Calculate the remainder when g is divided by 2.
0
Let t(m) = -75*m**3 - m**2 - 2*m - 1. Let n = 8 - -11. Calculate the remainder when t(-1) is divided by n.
18
Suppose -d = 2*d + 4*l - 85, -4*l + 16 = 0. Suppose d + 12 = 5*r. Let x = 2 - -3. What is the remainder when r is divided by x?
2
Let p(a) = 7*a**3 + 2*a**2 - 1. Let b be p(1). Let w be (33 + b)*(7 + -2). Suppose -16*s + w = -11*s. Calculate the remainder when s is divided by 6.
5
Suppose -38 = -b + 3. What is the remainder when 163 is divided by b?
40
Let m(s) = s**3 - 6*s**2 - s - 4. Let u(g) = g**3 - 5*g**2 - 4*g - 8. Let q be u(6). Let r = 14 - q. Calculate the remainder when m(7) is divided by r.
8
Let v = 173 - 149. Calculate the remainder when 119 is divided by v.
23
Let l be (15/10)/(3/6). Suppose -l*s - s - 8 = 0. What is the remainder when s/6 - 500/(-15) is divided by 9?
6
Let f(j) = 11 + 9 + 8*j - 25 + 7. Calculate the remainder when f(1) is divided by 5.
0
Let d(p) = -27*p - 128. What is the remainder when d(-5) is divided by 2?
1
Suppose -5*h = -v + 34, -97 + 7 = -4*v - 3*h. What is the remainder when 27 is divided by v?
3
Suppose j - 2*j = -2. Let u(h) = 2 - h - 5 + j*h + 2. What is the remainder when 22 is divided by u(7)?
4
Let s = 19 + -18. Let p(f) = 35*f**3 - 2*f + 1. Let r be p(s). Suppose i - 22 = -i - 3*u, -3*i - 4*u = -r. What is the remainder when 39 is divided by i?
11
Let f(o) = -o**3 - 4*o**2 - 4*o + 4. Let a = 1 + -6. Let z(p) = p**3 - 12*p**2 + 33*p + 5. What is the remainder when f(a) is divided by z(8)?
10
Let t = 74 - 63. Calculate the remainder when 285 is divided by t.
10
Let q be (-56)/(-35) + (-4)/(-10). Let m(t) = -4*t**q - 19 + 5*t**2 + 12*t + 5. What is the remainder when m(-14) is divided by 5?
