remainder when a is divided by 453/27 - p/18.
14
Let l = 1799 + -1606. Calculate the remainder when 12347 is divided by l.
188
Let d(x) = 28*x + 27. Let n be d(-2). Let o = n + 34. What is the remainder when 8 is divided by o?
3
Suppose 8 = u + 7 - 2. Calculate the remainder when 748 is divided by u.
1
Let c be 0 - 4 - (-29)/(290/300). Suppose -2*i - c = -4*i + g, 3*i + 2*g = 25. Calculate the remainder when 50 is divided by i.
6
Let c = -3 + 6. Suppose -3*i - 58 = 2*p, c*p - 4*i = -p - 76. Let j = 36 + p. Calculate the remainder when 37 is divided by j.
11
Suppose 2*g - 4*h = -0*g + 26, h - 606 = -24*g. What is the remainder when 386 is divided by g?
11
Suppose 4*m - m + 145 = 5*l, 5*m - 116 = -4*l. Suppose -3*v + 94 = 5*w + l, -w = -v + 19. Calculate the remainder when 99 is divided by v.
19
Suppose 4*o = 3*h - 19, -2*o = 5*h - 3*o - 60. Suppose 2*a - h = -7. Suppose -a*i + 5*m + 4 = i, m - 22 = -3*i. What is the remainder when 23 is divided by i?
5
What is the remainder when 6035 is divided by (1189/(-232) - (-6)/(-16))*96/(-16)?
29
Let y(k) = -k**3 + 16*k**2 - 110*k + 1408. Calculate the remainder when y(12) is divided by 63.
34
Calculate the remainder when 120 is divided by (37/(-5))/(((-44)/(-20))/(-11)).
9
Let c = -30 + 36. Suppose 2*b - c*b + 120 = 0. Let v = 42 - b. Calculate the remainder when 22 is divided by v.
10
Let l(o) = -o**3 + o**2 + 6*o - 18. Let n be l(0). Let r = 96 + n. What is the remainder when 388 is divided by r?
76
Suppose 21 = -4*x - a, -4*x + a - 15 = 4*a. Calculate the remainder when (2055/x)/(-5) + (-14)/28 is divided by 18.
14
Suppose 20 = 4*f, n = 3*f - 2 - 12. Let a be 1/((-3)/237)*n. Let t = 203 + a. Calculate the remainder when t is divided by 21.
19
Let a(m) be the first derivative of 7/2*m**2 - m + 3 - 1/4*m**4 - 14/3*m**3. Calculate the remainder when a(-15) is divided by 40.
39
Suppose -5*d - 4*a - 145 + 1157 = 0, -d = -2*a - 194. Suppose -628*b = -477*b - 4379. What is the remainder when d is divided by b?
26
Let g(d) = 22*d - 1251. Let z(c) = -c**3 - 5*c**2 + 11*c - 2. What is the remainder when z(-9) is divided by g(58)?
23
Suppose 66*p - 51*p = 60. Let d(k) = 2*k**2 + 2*k + 4. What is the remainder when d(6) is divided by (-8)/6*(-234)/96*p?
10
Suppose -2 = -4*o - 4*c + 14, -2*o - 6 = -5*c. Let b = o + 1. Suppose -3*m = 2*n - 17, n - 2 = -b*m + 5. What is the remainder when 15 is divided by n?
5
Let o be (2/4)/1*6. Suppose -o = -2*u - 11, 2*u - 51 = -c. Suppose -18*n + 62 = -16*n. What is the remainder when c is divided by n?
28
Suppose 7*x - 23 = -114. Let l = -51 + 31. Let i = x - l. What is the remainder when 24 is divided by i?
3
Suppose -175*r + 400 = -159*r. Calculate the remainder when r is divided by 15.
10
Suppose 25*t - 60 = 24*t. Let u = -36 + t. What is the remainder when u is divided by 13?
11
Suppose -2*q + 3*a = 3, -440*q - 7 = -437*q - 5*a. What is the remainder when 1*2*(44 + 2) is divided by q?
2
Let f(g) = -5*g - 1. Let s(n) be the third derivative of 7*n**5/60 + 17*n**4/8 - 7*n**3/3 - 38*n**2 + 1. What is the remainder when s(-8) is divided by f(-2)?
8
Suppose 3*u - 3*v - 759 = 0, 4*v - 583 = -3*u + 190. Suppose u = 5*r - 5*j, j - 180 = -4*r - j. What is the remainder when 181 is divided by r?
40
Suppose 3*l - 11558 = 2*v, -69*l + 68*l + 3*v + 3855 = 0. What is the remainder when l is divided by 133?
128
Let k(f) = 19*f + 60. Let v(x) = 13*x + 40. Let h(b) = 5*k(b) - 8*v(b). Let n be h(-6). Suppose -4 = -2*j + n. Calculate the remainder when 35 is divided by j.
16
Suppose 4*f + 4*j - 1212 = 0, -3*j + 74 - 365 = -f. Calculate the remainder when 9295 is divided by f.
295
Let m be 8/((-6)/15*-5). Suppose 3*t = -0*t - 6, -b - 2 = m*t. Suppose b*q + 0*q = 204. Calculate the remainder when 101 is divided by q.
33
Suppose 8*r + 4*u = 7*r + 106, u - 499 = -4*r. What is the remainder when r is divided by 11?
5
Let r be 2 - ((-24)/3)/(-4). Suppose r = 3*h - 335 - 259. Suppose 0 = 2*k - h - 40. What is the remainder when k is divided by 24?
23
Let a(l) = 77*l**2 - 53 + 21*l - 38*l**2 - 37*l**2. What is the remainder when 31 is divided by a(-13)?
7
Let j = -28307 - -29258. Calculate the remainder when j is divided by 45.
6
Let y = 601 + -860. What is the remainder when y/112*4*(-4)/1 is divided by 6?
1
Let v be (-1)/((18/(-4164))/(-3)). Let j = -666 - v. Calculate the remainder when j is divided by 15.
13
Suppose 5*y = 391 + 119. Suppose -2639 + 511 = -76*s. Suppose -s + y = 2*f. Calculate the remainder when 147 is divided by f.
36
Suppose -2*p + 24 = 4*o - 8, -p = -3*o + 14. Calculate the remainder when 133/(-57)*90/(-14) is divided by o.
3
Let t(u) = -u**3 - 3*u + 2. Suppose -109 = 12*c - 23*c - 32. What is the remainder when t(-3) is divided by c?
3
Suppose 9*o - 5*o = -7*o. Suppose 2*r + 3*n - 19 = o, 8*r = 6*r + 2*n + 44. What is the remainder when r is divided by 2?
1
Suppose -297*f = -1930 - 4901. Suppose 4*k + 5*i = 221, 2*i + 2*i - 283 = -5*k. Suppose -113 - k = -4*d. What is the remainder when d is divided by f?
20
Let r = -89 + 137. Let i = -3093 - -3107. What is the remainder when r is divided by i?
6
What is the remainder when (-14)/9 + (-23450)/(-90) is divided by 10?
9
Suppose -4*g - x + 402 = 0, -4*g - 249 = -5*x - 687. Calculate the remainder when 335 is divided by g.
29
Let r = -14685 - -15249. Calculate the remainder when r is divided by 160.
84
Suppose -25*c = -9*c - 8 - 248. Let v(s) be the first derivative of 7*s**2/2 - 54*s + 2. Calculate the remainder when v(c) is divided by 16.
10
Suppose 3*j - 10 - 17 = 0. What is the remainder when 3 - 1 - (234 - 270) is divided by j?
2
Suppose -4053*f - 1183 = -4060*f. Suppose -4*b + 136 = 5*a, -b + 3*a = 6*a - 34. Calculate the remainder when f is divided by b.
33
Let v(x) = 2*x - 9*x + 10*x - 4. Suppose 0 = -5*u + p + 150, u - p = 2*u - 24. Calculate the remainder when u is divided by v(4).
5
Let o(u) = u**3 - 3*u**2 - 26*u + 30. Suppose 11*j - 21*j + 70 = 0. Calculate the remainder when 77 is divided by o(j).
33
Suppose -16652 + 16757 = 3*v. Suppose -5*a + 41 = -14. What is the remainder when v is divided by a?
2
Let q(m) = m**3 - 7*m**2 + m - 1. Let s be q(7). Suppose -5*n = -29 - s. Suppose 3*h + 42 - 162 = 0. Calculate the remainder when h is divided by n.
5
Let t(g) = 2*g**2 - 8*g + g**2 - 30 + 3*g. Let o be t(-6). Suppose -23*n = -14*n - o. Calculate the remainder when 20 is divided by n.
8
Calculate the remainder when (-614)/(-3) + (-8)/12 is divided by (72/(-15))/((-33)/(-55)) - (1 - 62).
45
Let r be (-8)/(-28) + (-84)/(-49). Suppose 3*f - 33 = -r*j, -f + 1 = -j + 5. What is the remainder when 41 is divided by j?
5
Let g = 11 - 8. Suppose -3*f + 0*z = 5*z - 160, -4*f = -g*z - 165. Calculate the remainder when f is divided by 8/(10/(-100)*-5).
13
Let w = 5313 - 5278. Calculate the remainder when 803 is divided by w.
33
Suppose 69*r - 1488 = 10*r - 34*r. What is the remainder when 319 is divided by r?
15
Let u(m) = -m**3 - 18*m**2 + m + 130. Let c be u(-17). What is the remainder when 137 is divided by 62*(13/11 + 32/c)?
13
Let a = 350 - 334. Let k(i) = 13*i - 9*i - 2 + 1 + 56*i. Calculate the remainder when k(1) is divided by a.
11
Let o(z) = z**2 - 59*z + 638. Let j(u) = 3*u. What is the remainder when j(9) is divided by o(14)?
3
Let n(y) = -y**3 - 5*y**2 + 2*y - 2. Let v be n(-5). Let h = -21 - v. Calculate the remainder when 57 is divided by 19 + (3/h)/(2/12).
6
Let n be (-8 - -7) + 10 + -2. Suppose n*t = 71 - 22. What is the remainder when 53 is divided by t?
4
Let l be (-1)/3 + 265/3. Let m be (126/5)/(106/(-10) - -11). Suppose -l = -5*f - 2*v, -3*f - 4*v + m = 13. Calculate the remainder when 30 is divided by f.
12
Suppose 0 = 4*a - 5*q - 4 - 96, -50 = -2*a - 2*q. Calculate the remainder when ((-5)/25)/(-9 + 39276/4365) is divided by a.
22
Suppose 0 = t + 3*q + 11, 12 - 2 = -2*q. Suppose -1 = v + 5*j, -j = -0*v - t*v + 80. What is the remainder when 71 is divided by v?
14
Suppose 37 - 365 = -8*h. Calculate the remainder when 1 + 2434/10 - (-6)/(-15) is divided by h.
39
Suppose -35*c + 22 = -34*c + 3*t, -2*c + 64 = 2*t. Calculate the remainder when 383 is divided by c.
13
Suppose g - 2*c = 550, 84*g + 4*c = 80*g + 2200. Calculate the remainder when g is divided by 138.
136
Suppose u - 76 = 34. What is the remaind