.
17
Suppose -t - 3*t + 4*z = -652, -4*t = 2*z - 682. Suppose 0*u - t = -3*u. What is the remainder when 20 is divided by (1/2)/(4/u)?
6
Let r be (0*1/(-3))/1. Suppose -4*x + 3*m + 520 = 0, r*m - 3*m = 0. Calculate the remainder when x is divided by 19.
16
Let g(h) = 472*h - 621. What is the remainder when g(3) is divided by 17?
13
Suppose 7*y - 3*s + 999 = 10*y, -y + 4*s = -313. Calculate the remainder when y is divided by 9.
5
What is the remainder when 522 + (2/1 - 5) is divided by 87?
84
Let l(h) = -h**3 + 8*h**2 - 6*h + 1. Let z = 24 - 22. Suppose 4*g = 3*k + 65, 3*g - 85 = -z*g + 3*k. What is the remainder when g is divided by l(7)?
4
Let r(n) = -2*n**3 + 5*n**2 + 3*n + 1. Let d be r(-3). Suppose 3*s + 28 = d. Let k(b) = 60*b**2 + 1. What is the remainder when k(1) is divided by s?
19
Let j(d) = -4*d - 103. What is the remainder when 35 is divided by j(-31)?
14
Suppose 6*p - 4*p - 144 = 2*c, 4*p + 4*c = 304. What is the remainder when 199 is divided by p?
51
Let y(z) = 6*z - 26. Suppose -3*r + 5*o + 20 = 0, -5*o - 1 = -11. Suppose 8*w - r*w = -36. What is the remainder when y(16) is divided by w?
16
Let s = 15 + 32. Calculate the remainder when 185 is divided by s.
44
Suppose -39 = -127*n + 124*n. Suppose 3*z + 12 = 0, -4 + 7 = m + 5*z. What is the remainder when m is divided by n?
10
Let g be (-114)/(-8) - 7/28. Let u = -12 + g. Suppose 43 = v - 4*p, 0 = 4*v - v + u*p - 73. What is the remainder when v is divided by 15?
12
Let i be -1*1/(4/(-8)). Suppose -2*v + 5*v + 4*f - 203 = 0, -8 = i*f. What is the remainder when v is divided by 25?
23
Let a = -8 + 17. Let s be a/(-4)*(-48)/9. Let c = 16 - s. What is the remainder when 6 is divided by c?
2
Let k(s) = -11*s**3 + 4*s**2 - 6*s + 6. Let m be k(2). Let t = 102 + m. What is the remainder when -1 - -1 - (0 + -70) is divided by t?
22
Suppose -2*y - 115*w + 119*w - 2 = 0, -2*y - 2*w + 28 = 0. Suppose z - 20 + 4 = 0. Calculate the remainder when z is divided by y.
7
Let v(y) = y**2 + 5*y + 5. Let i(z) = -z**2 - 15*z + 18. Let d be i(-16). Suppose d*q + 168 = 9*q. What is the remainder when q is divided by v(-5)?
4
Let c(b) = b**3 - 2*b**2 + 9*b - 33. What is the remainder when c(5) is divided by 15?
12
Suppose 4*p - 3*p - 3 = 5*t, 3*p - 61 = 2*t. Calculate the remainder when 99 is divided by p.
7
Suppose 23*z = 1002 + 1965. What is the remainder when z is divided by 30?
9
Let n(a) = -7*a + 159. What is the remainder when n(6) is divided by 32?
21
Calculate the remainder when -10 + (12 - 4) - -6 is divided by 4.
0
Let m be 96/9 - (-2)/(-3). Let o(v) = v**3 - 10*v**2 + 2*v - 15. Let a = -43 - -60. What is the remainder when a is divided by o(m)?
2
Let s = 21 - 6. Suppose 0*g + 33 = 3*g. Let x = -3 + g. Calculate the remainder when s is divided by x.
7
Suppose -5*d + 6 = -34. Let j(y) = y**3 - 3*y**2 - 39*y + 97. What is the remainder when j(7) is divided by 100/d - (-2)/(-4)?
8
Let m(x) = 2*x**2 + 14*x + 21. Let w(n) = n**2 + n. Let t(g) = m(g) - 3*w(g). Calculate the remainder when 34 is divided by t(12).
7
Let s(q) = q**3 + 7*q**2 - 3*q - 2. Let j(v) = v**2 - 12*v - 32. What is the remainder when s(-5) is divided by j(-3)?
11
Let f = 310 - 234. Calculate the remainder when 77 is divided by f.
1
Calculate the remainder when -8*35/2*-1 is divided by (-1838)/2757 + (219/(-18))/((-1)/4).
44
Suppose 32*m = 39*m - 728. What is the remainder when m is divided by 57?
47
Let s(f) = -2 - 5*f - 14 - 23 - 18. What is the remainder when 31 is divided by s(-15)?
13
Suppose 32*u - 11*u - 567 = 0. Calculate the remainder when u is divided by 14.
13
Suppose 0 = -3*b - 4*l + 70, -3*b - l + 42 = -4*l. Let t = -155 - -160. What is the remainder when b is divided by t?
3
Suppose 0 = -95*i + 50*i + 12330. What is the remainder when i is divided by 10?
4
Let o(l) = l**3 - l**2 + 2*l - 5. Let p be o(5). Let a = -60 + p. What is the remainder when 179 is divided by a?
44
Let t be 0/(-3 + 4/(-4)). Let v(l) = l + 15. What is the remainder when 117 is divided by v(t)?
12
Let o(f) = 2*f**2 - 3*f - 1. Suppose 0 = -w - b, 0 = -3*w - w - 2*b - 4. Calculate the remainder when 24 is divided by o(w).
11
Let o be 1/(1/5)*1. Suppose -w - 4*t + 16 = -2*w, 3*w + o*t = 37. Suppose -w*b = -15 - 125. Calculate the remainder when b is divided by 12.
11
Let l = -9 - -16. Let z(j) = j**2 - 4*j - 3. Suppose -3*i - 20 = -7*i. What is the remainder when z(l) is divided by i?
3
Let z = -63 - -74. What is the remainder when 27 is divided by z?
5
Calculate the remainder when (26/4 - 5)/((-42)/(-1876)) is divided by 12.
7
Suppose -12*m = -7*m - 25. Suppose 0 = -a + m, -5*a + 0*a = -p - 23. Suppose 0 = p*s - 24 + 6. What is the remainder when 42 is divided by s?
6
Let z(x) = x**2 - 10*x + 13. Let j be z(7). What is the remainder when 41 is divided by (j + -4)*((-10)/4)/5?
5
Let s = 769 + -593. Calculate the remainder when s is divided by 85.
6
Suppose -5*r = 2 + 3. What is the remainder when ((0 + -15)*6)/r is divided by 31?
28
Suppose 22*g = 29*g - 1659. What is the remainder when g is divided by 66?
39
Let x be (-1)/(((1 - 3) + 0)/2). Let s(b) = 4*b + 2. Calculate the remainder when s(x) is divided by 2.
0
Let r be (2 + -1)*(-10)/(-2). Let w = r + 0. Let p(k) = k**2 - 2*k + 2. What is the remainder when p(w) is divided by 6?
5
Let a(k) = k**2 + 14*k + 15. Let j be a(-13). Suppose -j*y + 50 = 34. What is the remainder when 11 is divided by y?
3
Let g(c) = -c**3 + 5*c**2 + 5*c - 11. Suppose -i = -2*f - 5, -20 = -4*i + f - 3*f. What is the remainder when 81 is divided by g(i)?
11
Suppose -24*n = -20*n - 28. Let y = 11 + n. Calculate the remainder when y is divided by 11.
7
Let b be (-1 + 1)*4/(-8). Suppose b = n - 2 - 9. What is the remainder when 98 is divided by n?
10
Let m = -149 + 223. Calculate the remainder when m is divided by 19.
17
Let b = 98 - 53. Let q = -72 + b. Let i = 46 + q. Calculate the remainder when 54 is divided by i.
16
Let r(n) = 12*n**2 + 2*n + 6. Let f be r(3). Suppose 3*c = -2*d + 131, -4*d + f = 5*c - 101. Calculate the remainder when c is divided by 22.
19
Let a = 341 + -324. What is the remainder when 42 is divided by a?
8
Let r(k) = 3*k**2 - 5*k. Let m be r(5). Let d = m + -16. Suppose 3*i - 24 = -i. What is the remainder when d is divided by i?
4
Suppose x + 11 = -g + 2, -9 = x - 3*g. Let j be (-111)/(-2)*6/x. Let w = -4 - j. Calculate the remainder when w is divided by 17.
16
What is the remainder when 29 is divided by (32/9)/(50/225)?
13
Let n = 115 + -50. What is the remainder when 128 is divided by n?
63
Let k(f) = -f**2 + 3*f**2 + 3*f + 6*f + 9. Let n(z) = -z**3 - 17*z**2 - 19*z + 216. Calculate the remainder when n(-15) is divided by k(-6).
24
Suppose -150 = -21*o + 11*o. Calculate the remainder when 102 is divided by o.
12
Let i = 35 + -33. Suppose -5*q - g + 3*g + 20 = 0, 3*q - 8 = i*g. Calculate the remainder when 11 is divided by q.
5
Suppose -t = 3*t - 44. Let p = 20 - t. Let k(j) = -j**2 + 9*j + 4. Calculate the remainder when 5 is divided by k(p).
1
Let t(r) = -11*r**2 + 12*r + 9. Let w(d) = -4*d**2 + 4*d + 3. Let p(x) = -3*t(x) + 8*w(x). What is the remainder when p(8) is divided by 11?
7
Let v be 8/(5 + 3 + -6). Let c(q) = -q**2 + 3*q + 1. Let o be c(v). Let b = o - -16. What is the remainder when b is divided by 5?
3
Suppose -13 = -20*q + 47. What is the remainder when 41 is divided by q?
2
Suppose 8 = -2*r + 10. Suppose -t + 2*s + r = -3, -2*t - 4*s = -8. Calculate the remainder when 7 is divided by t.
3
Suppose -3*a + 3 = -2*a. Suppose -a = -4*h + 5. Suppose o - 2*b = 14, 0 = -2*b - h*b - 8. What is the remainder when 38 is divided by o?
8
Let q = -7 - -23. Let p(b) = -5*b - 33. Let y(w) = -40*w - 265. Let j(z) = -25*p(z) + 3*y(z). What is the remainder when j(0) is divided by q?
14
Let l = 6 - 0. Suppose -2*h + 18 = 7*h. Suppose -h*z = -l*z + 44. Calculate the remainder when 30 is divided by z.
8
Let x = -15 - -14. Let j be 1*(-1 + x)*1. What is the remainder when 3 + j - 3 - -15 is divided by 4?
1
Suppose -28*t - 28 = -32*t. What is the remainder when 45 is divided by t?
3
Suppose -4*w + 3*c + 19 = 0, -3*c + 0*c + 16 = w. Suppose -3*x + 94 = -68. Calculate the remainder when x is divided by w.
5
Suppose 2*a + 2*w - 6 = 0, 3*a + 2*w - 9 = 6*w. Suppose 0 = -2*d - d - 24. What is the remainder