 divided by 9.
6
Suppose 4622 = -37*v + 40031. What is the remainder when 1934 is divided by v?
20
Let u = 745 + -429. Calculate the remainder when (12 - 15)*u/(-6) is divided by 53.
52
Suppose 96 = -x + 4*x. Suppose 4*r + 28*t = 24*t + 268, 4*r + 3*t = 260. Calculate the remainder when r is divided by x.
27
Suppose -58*d + 265 = -39 + 72. Let g = 157 + -65. Suppose -2*o = -6*o + g. Calculate the remainder when o is divided by d.
3
What is the remainder when 118417/130 - (-1)/10 - -8 is divided by 132?
127
Let k(x) = 20*x + 43. Let t be k(-2). Suppose 0 = t*s + 5*p - 151, 3*s - p = -3*p + 163. What is the remainder when s is divided by 10?
7
Suppose p - 12*b = -14*b + 510, -b - 2506 = -5*p. Calculate the remainder when 1004 is divided by p.
0
What is the remainder when 2/5 + (-10557)/(-45) is divided by 24?
19
Suppose 40*g - 19*g + 1940 = 41*g. What is the remainder when 677 is divided by g?
95
Let t(w) = -w**3 + 9*w**2 - 10*w + 16. Let x be t(8). Suppose -5*v + 1616 - 481 = x. What is the remainder when v is divided by 57?
56
Suppose -16 = 4*i, 5 = -535*f + 536*f + i. Calculate the remainder when 109 is divided by f.
1
Let t = 91 - 197. Let r = t + 134. What is the remainder when r is divided by 12?
4
Let d = 50 - 42. Let z(a) = -9*a**2 + 2*a - 1. Let p be z(2). Calculate the remainder when (-66)/1*11/p is divided by d.
6
Let m be (-4 + 133)/(24/16). Suppose m*h = 79*h + 406. What is the remainder when h is divided by 16?
10
Calculate the remainder when 4485 is divided by ((-2685)/9)/((-194)/582).
10
Let g(w) = 6*w + 6. Let y be g(-6). Let x = y + 210. Let n = x - 31. What is the remainder when n is divided by 30?
29
Suppose -125 = -z - z - p, 5*z - 314 = -4*p. Suppose 118*u = 117*u + z. Calculate the remainder when u is divided by 3.
2
Let r = 39 + -21. Let f be (-12)/28 + (-465)/(-7). Suppose 0 = 7*k - 9*k + f. Calculate the remainder when k is divided by r.
15
What is the remainder when 48/(-9)*((-1700681)/1022 + (-8)/(-14)) is divided by 9?
7
Let n(a) = -19*a**3 + 7*a**2 + 6*a - 1. Let r(f) = -f**3 - f**2 + f. Let w be r(1). What is the remainder when 51 is divided by n(w)?
13
Suppose -5831 = -2*c - 5*h, 8732 = -120*c + 123*c - 7*h. Calculate the remainder when c is divided by 31.
30
Suppose -1421942 - 1377822 = -323*f. What is the remainder when f is divided by 30?
28
Let m(b) = -b**3 - 5*b**2 - 5*b - 5. Let g be m(-3). Let o = g + 30. Let l = o - 6. Calculate the remainder when 62 is divided by l.
14
Let k be 1/((-9)/(-42))*3. Let o(f) = -3*f**2 + 43*f + 26. Calculate the remainder when 54 is divided by o(k).
14
Suppose -3*h = -10962 + 10812. Let m(l) = -l**2 + 10*l - 8. Let n = -4 - -11. Calculate the remainder when h is divided by m(n).
11
Let t be (1/(-2))/(9 + -8)*0. Suppose t = -13*c + 18*c - 35. Suppose -148 = -4*b + 4*w, 2*w + 41 = b - 0*b. Calculate the remainder when b is divided by c.
5
Let w(z) be the second derivative of -z**5/10 - z**4/3 - 5*z**3/6 - 5*z**2 + 46*z. Let c be -5 + 5 + 5/(-1). Calculate the remainder when w(c) is divided by 28.
25
Suppose -4*k - 4*c + 320 = 0, 4*c - 3*c + 244 = 3*k. What is the remainder when (-18)/(-24)*(-12)/(-9) + k is divided by 41?
0
Let v(n) = -n**3 + 33*n**2 + 375*n + 148. Suppose 765 = p + 4*p. Calculate the remainder when p is divided by v(42).
21
Suppose o - 5 = -4*o. Suppose 4*l - 3 = o. Calculate the remainder when (l + -2)/(4/(-220)) is divided by 14.
13
Let v(d) = 9*d**2 - 14*d + 9. Let k = 69 + -80. Let a(s) = 5*s**2 - 7*s + 5. Let y(t) = k*a(t) + 6*v(t). Calculate the remainder when 17 is divided by y(-3).
6
Let d(z) = -z**3 - 62*z**2 - 79*z - 1064. Calculate the remainder when 6493 is divided by d(-61).
33
Let l(f) = -2*f**3 + 14*f**2 - 13*f + 7. Let q be l(6). What is the remainder when 58 is divided by 1 - (q + -59)/(5 + -3)?
28
Let m(d) = d**2 - 3*d + 4. Let z be m(7). Suppose -g + z = 3*x, -3*g - 25 - 9 = -4*x. Calculate the remainder when 68 is divided by x.
8
Let u = 4083 - 1944. What is the remainder when 2143 is divided by u?
4
Suppose 314 = 2*j - 74. Suppose 29*r + 18 = 32*r. Suppose 5*u - 201 + r = 0. What is the remainder when j is divided by u?
38
Let p = 6 + 85. Let z be 960/144 - 2/3. Suppose 4*u = -3*t + z*t + 82, 3*t = -6. Calculate the remainder when p is divided by u.
15
Let f be 1*2/12 + 550/(-132). Let c be 1/(f/(-14) + 1/(-28)). Suppose 2*r = -g + 3*g - 208, 2*g - 204 = c*r. What is the remainder when g is divided by 36?
34
Let f(r) = -4*r**3 - 4*r**2 - r + 4. Let t be f(-3). Suppose 3*z - 3*o + 10 = t, -128 = -4*z - 5*o. What is the remainder when z is divided by 4?
3
Let d be (-76)/13 - (-22)/1287*-9. Calculate the remainder when (d/9)/((-42)/3339) is divided by 11.
9
Let m = 6511 - 6152. What is the remainder when m is divided by 344?
15
Let u = -48 + 195. Let g = 149 - u. What is the remainder when 4 is divided by ((-2)/g)/((-10)/40)?
0
Let r(q) = -q**3 + 112*q**2 + 226*q + 347. Calculate the remainder when 154 is divided by r(114).
35
Let g(l) = 10*l + 254. Let m be g(-7). Let h = 229 - m. Calculate the remainder when h is divided by 11.
1
Let v be 3/(292/(-72) - -4). Let q be 18/4 + v/36. Suppose 5*d + q*d - 72 = 0. What is the remainder when 13 is divided by d?
4
Let l = -305 - -338. Suppose -6*g + 105 = l. Calculate the remainder when 32 is divided by g.
8
Let r = 381 + -254. Calculate the remainder when r is divided by ((-33)/(-6))/(26/208).
39
Let f = -7 + 5. Let u = f + 6. Let w(h) = 12*h - 33. Calculate the remainder when 28 is divided by w(u).
13
Suppose 162 - 11 = 35*d + 11. Calculate the remainder when 194 is divided by d.
2
Suppose 11871 = 124*s - 124405. Calculate the remainder when s is divided by 50.
49
Let a = -1534 + 4926. What is the remainder when a is divided by 39?
38
Suppose 2*m = -3*k + 4154, 3927*m - 3931*m = 3*k - 8320. Calculate the remainder when m is divided by 14.
11
Let n(z) = 2*z. Let g be n(1). Suppose -g*b - 113 - 2700 = -3*o, 3*b + 4236 = -o. Calculate the remainder when (b/34)/((-2)/4) is divided by 29.
25
Let l(w) = w**2 + 66*w - 1771. What is the remainder when 109 is divided by l(21)?
53
What is the remainder when 190 is divided by (-216 + 224)/((-1)/((-45)/6))?
10
Suppose -12*y = -30*y + 11952. Let b = 690 - y. What is the remainder when 85 is divided by b?
7
Let i(x) = -2*x**3 + 2*x - 2. Let b be i(-2). Suppose 7*k - b*k = -171. Calculate the remainder when 227 is divided by k.
56
Suppose -3*z - 91 = -5*w - 38, 9 = w - z. What is the remainder when 178 is divided by w?
9
Suppose 0 = -73*f - 92*f + 26235. Calculate the remainder when 519 is divided by f.
42
Suppose 0 = 5*c + 4*a - 9*a - 770, -4*c - 5*a + 598 = 0. Suppose -273*p = 13*p + 1123*p - 38043. Calculate the remainder when c is divided by p.
17
Let n(u) = u**3 - u**2 - 9*u - 3. Let p be n(-2). Suppose 0*k + p*k - 235 = -2*s, 0 = s - 5*k - 98. Calculate the remainder when s is divided by 30.
23
Let b(k) be the third derivative of -k**5/60 - 13*k**4/24 + 7*k**3/3 - 4*k**2. Let n = 778 + -752. What is the remainder when n is divided by b(-13)?
12
Let l be (-7172)/(-16) + 5 - 1/4. Let b = l - 241. Suppose 4*r - 724 = -b. Calculate the remainder when r is divided by 43.
42
Suppose -161*q + 144*q = -1513. Let s = -62 - -94. Calculate the remainder when q is divided by s.
25
Suppose -2*t - 47 = -107. Suppose -4*f - 3*l = -2*l - 227, 2*f - l - 121 = 0. What is the remainder when f is divided by t?
28
Suppose 5*q + 4 = -3*s + 3*q, 4*q + 8 = -4*s. Suppose -4*i + 58 = 3*a - 62, s = -4*i + 12. What is the remainder when 135 is divided by a?
27
Let k = -14 - -16. Let r(d) = 5 - 8 - 3 + 15*d - d. Calculate the remainder when 64 is divided by r(k).
20
Let q = -825 - -1325. Let k = 565 - q. What is the remainder when k is divided by 47?
18
Let d be (4 - 7)/((-6)/(-8)). Let j = 0 - d. What is the remainder when (1 + -1 + 1)/((-3)/(-21)) is divided by j?
3
Let h(u) = -86*u + 721. Let g = 278 + -152. What is the remainder when g is divided by h(8)?
27
Let c be 7 - 1 - (3 + 3). Suppose -2*x + 6 = c, 4*r - 5*x - 31 - 10 = 0. What is the remainder when 51 is divided by r?
9
Suppose 72*g - 75*g + 21 = 0. Suppose -m = -26 - g. Calculate the remainder when m is divided by 18.
15
Let z be 240 + 2 + -1 + 22/22. Let d = z - 140. Calculate the remainder when d is divided by (104/