r when 76 is divided by f.
0
Let y = 6 - 2. Suppose 3*r + y*k - 64 - 141 = 0, 4*r - 4*k = 236. Suppose 4*g = 3*g + 13. Calculate the remainder when r is divided by g.
11
Let z be 6 + 4/4*-3. What is the remainder when (-1)/z*-2*(-31557)/(-134) is divided by 32?
29
Suppose -5*p + 2*r = -104, -38 + 9 = -2*p + 5*r. Let u = 1 - -4. Suppose 3*f - 45 = -5*h, -u*h + 38 = 2*f - 12. What is the remainder when p is divided by h?
10
Let u(d) be the third derivative of 5*d**4/6 - 23*d**3/3 + 51*d**2. What is the remainder when 307 is divided by u(3)?
13
Let a = 17058 + -16332. What is the remainder when a is divided by 49?
40
Let y be (-5 + 18/4)*-3*2. Suppose -z + 16 = g, 4*z - 18 = 3*z - y*g. What is the remainder when 103 is divided by z?
13
Let s(y) be the third derivative of y**6/120 - y**5/60 - y**4/6 + 5*y**3/6 - 34*y**2. What is the remainder when s(4) is divided by 8?
5
Suppose 5*o = -4*r + 150, 2*r + 99 = 5*r - 3*o. Suppose 0 = -r*h + 36*h - 2. Suppose 64 = h*a + 30. What is the remainder when a is divided by 3?
2
Let b = 0 + 0. Suppose -2*t = -b*t - 28. Calculate the remainder when (-2)/(13/(4186/(-28))) is divided by t.
9
Suppose 5*f + 14*b = 15*b + 2181, -3*f + 1307 = b. Let l = f + -40. Calculate the remainder when l is divided by 57.
54
Let c(v) = 96*v**2 - 56*v + 181. Calculate the remainder when c(3) is divided by 148.
137
Let w(d) = 6*d**3 - d**2 + 3*d + 11. Let y be w(3). What is the remainder when 23 + -28 - y*(-2 - -1) is divided by 13?
12
Let b(m) = -m**3 + 4*m**2 + 18*m - 26. Let c be b(7). Let j = c - -127. Calculate the remainder when j is divided by 17.
12
What is the remainder when ((-256590)/(-630))/(1/14) is divided by 7?
4
Suppose -4*x + a + 2023 = 0, -2*a + 7*a = 2*x - 1007. Calculate the remainder when 1518 is divided by x.
0
Suppose 6*i + 2*h - 38 = 3*i, 5*i - 66 = -4*h. Let x be 4/(-3)*(1 - -20). Calculate the remainder when 6/(-14) + (-516)/x is divided by i.
8
Let v = 78 - 153. Let b = 96 + v. Calculate the remainder when 461 is divided by b.
20
Let o(x) = -3*x**2 + 182*x - 2288. Suppose 0 = 5*q - 3*i - 124, -q = -i - 24 - 2. Calculate the remainder when o(38) is divided by q.
20
Let n(u) = 15*u**2 + 1095*u + 4383. Calculate the remainder when 384 is divided by n(-4).
141
Suppose 3*s - 9 = -0*s, 3*s = -4*h + 2217. Calculate the remainder when h is divided by 15.
12
Suppose 5*f + 14 = -s, 4*s + 5*f = 7*f + 32. Suppose s*d = 2*d + 148. What is the remainder when 96 is divided by d?
22
Suppose -63*l + 3235 = -58*l. Let c = l + -453. Calculate the remainder when c is divided by 49.
47
Let p = 165 - 352. Let a = 253 + p. What is the remainder when a is divided by 18?
12
Suppose -66*u + 69*u + 310 = 2*w, 4 = -u. Let c = 38 + -6. Calculate the remainder when w is divided by c.
21
Let v(i) be the first derivative of i**3/3 - 16*i**2 + 9*i + 143. Calculate the remainder when v(33) is divided by 22.
20
Suppose 56*q = 98*q - 6258. What is the remainder when q is divided by 12?
5
Let r(o) = -o**2 - 8*o + 131. Let c be r(8). Suppose -18*a + 42 = -16*a + c*i, 0 = 3*a - 2*i - 37. What is the remainder when a is divided by 14?
1
Let j be (-2)/(-4) - 4438/28. Let p = 364 + j. Calculate the remainder when p is divided by 42.
38
Let r(q) = 10*q - 148. Calculate the remainder when 3383 is divided by r(17).
17
Let w be (-15)/13 + (64/(-52))/(-8). Calculate the remainder when (3 - 4)*4/w - -97 is divided by 13.
10
Let m be (-11)/4*2584/(-17). Suppose 13*g - m = 89. Calculate the remainder when g is divided by 5.
4
Let h be (-3 + (-351)/(-12))*-8. Let k = 269 + h. What is the remainder when k is divided by 30?
29
Suppose -5*w = -0*w - 125. Let i(g) = -5*g - 33. Let s(l) = 2*l**2 - 47*l + 15. Let u be s(23). Calculate the remainder when w is divided by i(u).
4
Let y = 21713 - 20691. What is the remainder when y is divided by 509?
4
Suppose 2*a = 3*u + 13, 5*a + u - 5 = 53. Let f(z) = -z**2 + 19*z - 36. Calculate the remainder when 99 is divided by f(a).
47
Let b(h) = h - 19. Suppose -162*m = -139*m - 851. What is the remainder when 49 is divided by b(m)?
13
Let b(s) be the first derivative of s**4/4 + 8*s**3/3 + 4*s**2 + 34*s - 49. What is the remainder when b(-6) is divided by 23?
12
Suppose -9*s - 630 = -15*s. Let i = 13 + -11. Suppose 0 = 5*z - 0*a - 5*a - 175, 0 = -i*z + 5*a + 67. Calculate the remainder when s is divided by z.
33
Let b(h) = 13*h**2 - 2*h + 2*h**2 - 1 + h. Let s(a) = -2*a**2 + 33*a + 18. Let k be s(17). Calculate the remainder when 62 is divided by b(k).
10
Suppose 0 = 20*w - 25*w + 245. What is the remainder when 241 is divided by w?
45
Suppose 1282*m = 1299*m - 748. What is the remainder when 63/(-7)*(-38 - 1) is divided by m?
43
Let k = -9043 - -9050. What is the remainder when 71 is divided by k?
1
Let n(z) = 27*z**3 - 18*z**2 + 19*z - 1. Let y(o) = o**2 - 4*o + 2. Let p be y(2). Calculate the remainder when n(1) is divided by p/(-9) - 665/(-45).
12
Calculate the remainder when 93 + -71 - (-3 + 3) - 14 is divided by (12/10)/((-2)/(-10)).
2
Suppose l = 2*l + 3*w - 9, -14 = 2*l - 2*w. Let u(p) = 8*p**2 - 5*p + 3. What is the remainder when u(l) is divided by 15?
0
Let r = -117 + 164. Let z = -56 + 65. Suppose 47 - 191 = -z*t. What is the remainder when r is divided by t?
15
Suppose -4*i + 28 = -68. Suppose -275 = -13*t + 336. What is the remainder when t is divided by i?
23
Calculate the remainder when (-6)/12*(41160/(-54) + (-4)/(-18)) is divided by 78.
69
Let o = 9584 + -9445. What is the remainder when 10006 is divided by o?
137
Suppose 3*t - 13 = 32. Suppose -2*c + 134 = 5*i, 192 = 4*c + 2*i - 76. Suppose -2*q = 2*k - 74, -k + q = -4*q - c. What is the remainder when k is divided by t?
12
Let c = 234 - 135. Suppose 4*q - 15*q = -c. What is the remainder when 40 is divided by q?
4
Let f(d) = -d**3 - d**2 + 5*d - 22. Calculate the remainder when 148 is divided by f(-5).
42
Let u(j) = -j**3 + 3*j**2 + 5*j + 1. Let y be u(4). Suppose -2*k + 0*s + 15 = -5*s, 20 = y*k + 5*s. What is the remainder when 192/9 + (-2)/6 is divided by k?
1
Suppose -5*i + 129006 = 4*f - 15*i, -32254 = -f + 3*i. What is the remainder when f is divided by 98?
95
Suppose 3*t + 4*o = -75 - 50, -193 = 5*t - o. Calculate the remainder when 1 + (-12)/(-4) - (6 + t) is divided by 21.
16
Suppose -12*k + 13*k - 2*x = 438, 3*k + 3*x - 1251 = 0. What is the remainder when k is divided by 54?
46
Calculate the remainder when 214 is divided by ((-24)/(-32))/((-23)/(-3220)).
4
Let w = -220635 - -220727. Let r(k) = 6*k**2 - 5*k + 7. Calculate the remainder when r(-5) is divided by w.
90
Suppose -34*g = -10217 + 8653. What is the remainder when 2337 is divided by g?
37
Calculate the remainder when -9 + (12/32 - (-777330)/80) is divided by 117.
114
Let r be 2/2*(2 - 2). Suppose r = 4*m - 293 - 423. What is the remainder when m is divided by (1*-9)/((-3)/15)?
44
Let c(w) = -w**3 + 19*w**2 + 49*w - 114. What is the remainder when 102 is divided by c(21)?
3
Let v(m) = m**3 + 11*m**2 + 5*m - 22. Suppose -4*h + 3*c = 40, 3*h + 7*c - 8*c = -30. What is the remainder when 84 is divided by v(h)?
0
Calculate the remainder when 183 is divided by 10 + 18/6 + 12 - -2.
21
Let k(m) = m**2 - 8*m + 22. Let w be k(-5). Suppose 0 = -4*c - 3*y + 112, 4*c - 5*y + 7 = w. What is the remainder when 99 is divided by c?
24
Let g be (-492)/15*(-70)/4. Let j be 1*40/(-30)*-1*15. Suppose x - 251 = -2*r - j, g = 5*r - x. Calculate the remainder when r is divided by 30.
25
Suppose -b = 2*m - 19, -41*m + 42*m + 4*b = 34. Let s(f) = -3 + f**2 + 8 + 0*f - 3*f. What is the remainder when s(m) is divided by 10?
3
Suppose 5 = -5*s + 2*x + x, -5 = -x. Suppose 28 = s*c + 6. Let d(l) = -l**2 + 13*l. What is the remainder when 84 is divided by d(c)?
18
Suppose 736 = 5*g + 366. Suppose -4*p + 107 = -33. Let r = g - p. What is the remainder when r is divided by 20?
19
Suppose -q - 52 - 534 = -3*v, 0 = 2*v - 5*q - 395. What is the remainder when v is divided by 18?
15
Let t(i) = i**2 + 19*i + 83. Suppose 0 = 4*y - 2*p - 148, 0 = -y + 2*p - p + 36. Let k = 86 - y. What is the remainder when k is divided by t(-14)?
9
Let t be (2 - 3)*20*-1. Let u = t - 13. Suppose -4*x + 16 = 2*r, -82 = 2*x - 4*r - 70. What is the remainder when u is divided by x?
1
Let c(r) = -31*r + 4. Let d be 35/(-10) + (-3)/(-2). 