-14). Suppose -2*x - 8 = -z, -5*z + x - j*x + 53 = 0. What is the remainder when 34 is divided by z?
4
Let o be (3 + -1)/((-22)/44). Calculate the remainder when (-48944)/(-399)*((-6)/o + 0) is divided by 47.
43
Let m(d) = -5*d**3 - 22*d**2 + 139*d + 662. Let p = 381 - 140. What is the remainder when p is divided by m(-5)?
31
Let g = -2 - -9. Let w(q) be the second derivative of q**4/12 - q**3/3 - 6*q**2 + 127*q. Calculate the remainder when 68 is divided by w(g).
22
Let r(t) = t**2 + 3*t + 3. Let p = -4 - 1. Calculate the remainder when r(3) is divided by (-2 - 0) + (8 - p).
10
Suppose -3*t - 568 = -4*o, 0 = -2*o - 17*t + 14*t + 266. Let g = 5 - 3. Suppose 138 = 5*p - g. What is the remainder when o is divided by p?
27
Suppose 6*k + 0*k = -54. Suppose -253*y = -251*y - 28. What is the remainder when y is divided by 4/12 - 60/k?
0
Let i be 3*(-216)/(-243)*6/4. Suppose i*o + 612 = 16*o. Calculate the remainder when o is divided by 13.
12
Let m(i) = -i**3 - 10*i**2 - 2*i - 21. Let c be m(-10). Calculate the remainder when ((c - -3) + -3)/((-10)/1930) is divided by 49.
46
Let u(w) = 3*w**3 - 27*w**2 - 7*w + 8. Let p be u(10). Suppose -2*z + m = -p, 0 = -3*z - 2*m + m + 352. What is the remainder when z is divided by 24?
22
Suppose -o + 2*o = 5*z + 166, -2*z = 0. Let b = o - 140. What is the remainder when b is divided by 7?
5
Let m = -290 - -290. Suppose -40*l - 6*l + 2346 = m. What is the remainder when 147 is divided by l?
45
Let n be (33/6 + 0)*(-1 + -1). Let g = n + 11. Suppose g = 18*l - 8*l - 1940. Calculate the remainder when l is divided by 39.
38
Suppose -1 = 4*k - 3*k - 4*o, 0 = k + 3*o - 20. What is the remainder when ((-58)/(-10))/(17/85) is divided by k?
7
Suppose -j - 4*z + 283 - 231 = 0, 0 = -z - 1. Calculate the remainder when 956 is divided by j.
4
Suppose 5*q - 5 = 7*i - 2*i, 0 = 4*q + i - 19. Suppose -2*k + 134 = q*w, -3*k = -11*w + 6*w - 234. Calculate the remainder when 217 is divided by k.
71
Let s(l) = l + 20. Let u = 0 + 33. Calculate the remainder when u is divided by s(-13).
5
Let z(i) = i**3 + 8*i**2 + i - 5. Let r = 148 - 143. Suppose 0 = -r*g - 3*b + 119, 53 = 2*g + 12*b - 9*b. What is the remainder when z(-6) is divided by g?
17
Let u(y) = 2*y**2 + 20*y - 9. Suppose 4*w + 0*l - 4*l = -16, 0 = -2*w - 5*l - 22. Let t be 4/w*297/18. What is the remainder when u(t) is divided by 6?
1
Let z(w) = -6*w**3 + 2*w**2 - 1. Let i be z(3). Let p = -143 - i. What is the remainder when 2 is divided by p?
0
Let f(b) = -221*b - 3506. What is the remainder when f(-17) is divided by 147?
104
Let z = 38 - 20. Let l = -34 + z. Calculate the remainder when 28 is divided by 162/15 - l/(-20).
8
Let y be (-3)/(-6)*0 + 36. Suppose -3*v - v = -y. Calculate the remainder when (-226)/(-10) - ((-391)/(-85) + -3) is divided by v.
3
Suppose 2*u - 5 = 2*r + 13, 0 = 4*u - 3*r - 32. Suppose -u*o + 2*o = -9. Let y(d) = 2*d**2 + 5. What is the remainder when y(o) is divided by 14?
9
Suppose 4*u + 50 = -2*f + 134, 2*u = 2*f - 90. Let a(d) = -806*d - 53996. What is the remainder when f is divided by a(-67)?
2
Suppose 0 = -77*l + 80*l - 15. Calculate the remainder when 313 is divided by l.
3
Suppose 3*u - 210 = -3*m - 0*m, 0 = -m + 2*u + 67. Let o = 30 + -34. Calculate the remainder when m is divided by 4/3 + (o - (-248)/12).
15
Let j(t) = 6*t**2 + t - 1. Let f = -168 + 179. Suppose 0 = -3*z + x + f + 9, 3*x = 2*z - 25. What is the remainder when j(1) is divided by z?
1
What is the remainder when 2850 is divided by (((-10234)/129)/17)/((-70)/(-72) + -1)?
162
Suppose 171 - 517 = -6*w + 4*a, -4*w + 198 = 2*a. What is the remainder when 578 is divided by w?
48
Let s be -10*22/495*(-9)/2. Suppose 4*y + 3*x = 1304, -3*x + 502 + 144 = s*y. What is the remainder when y is divided by 66?
65
Suppose -343*h + 2688 = -339*h. Suppose -34*n + 6*n + h = 0. Calculate the remainder when 102 is divided by n.
6
Suppose n - 6*n + 20 = 0. Suppose -n*q - 2*u + 145 = 19, -3*u + 160 = 5*q. What is the remainder when q is divided by 15?
14
Let u(w) = 2*w**2 + 16*w - 9. Let h be u(-7). Calculate the remainder when 136 is divided by ((-26680)/48)/h - (-1)/(-6).
16
Let y(n) = -12*n + 4. Suppose -16*r - 66 = -290. Calculate the remainder when y(-4) is divided by r.
10
Let k(h) = -54*h**3 - 2*h + 1. Let p be k(-2). Let l = p + -390. Suppose -f = -2*f + 8. Calculate the remainder when l is divided by f.
7
Calculate the remainder when 5*-2*(-5428)/1180 is divided by 11 + 1/2*2.
10
Let w be 330/77 + 4/(-14). Let l(p) = -p + 19. Suppose -11*y = -1140 + 491. Calculate the remainder when y is divided by l(w).
14
Suppose -5*t + 31*v = 30*v - 37, -t = -3*v - 13. Let x = -28 + 32. Suppose 2*r - 5*r - k + 58 = 0, k - x = 0. What is the remainder when r is divided by t?
4
Let p(c) = -9*c - 48. Let v be p(-12). Suppose -7*t + 129 + v = 0. Suppose 2*q - t = -5*k + 2*k, -3*k + 45 = 5*q. What is the remainder when 14 is divided by q?
2
Suppose 3*p = 3, 1412 + 1960 = 3*o - 3*p. What is the remainder when o is divided by 49?
47
Suppose 0 = -317*i + 335*i - 1350. What is the remainder when 1940 is divided by i?
65
Suppose 3*x = 5*b - 125, 0 = -3*b + 2*x + 66 + 10. Let o be (80/(-240))/(-1 - b/(-24)). Suppose j + 117 = o*j. Calculate the remainder when j is divided by 16.
7
Let j(x) = x**3 + 41*x**2 + 11*x + 107. Let i be j(-35). Suppose -77*w + i = -25*w. What is the remainder when w is divided by 13?
6
Let z be 6001/(-68)*(7 - -1). Let k = z + 725. What is the remainder when k is divided by (-2)/1*11/(-2)?
8
Suppose 4096 = 2*i - 2*s, 4*s = 3*i + 8*s - 6172. What is the remainder when i is divided by 42?
36
Let m = -5190 - -5295. Calculate the remainder when 407 is divided by m.
92
Let g = 3286 - 3285. Suppose -5*t - 70 + 10 = 0. What is the remainder when 10 is divided by (9/(-4) + 2)/(g/t)?
1
Suppose -5*y - 2*q = 32 - 184, 6*y = 5*q + 249. Let t(o) = 2*o**2 + 14*o - 14. Calculate the remainder when t(-11) is divided by y.
6
Suppose 0 = -66*n + 294*n + 123 - 3999. Suppose -4*j + 440 = -i, -5*j = -i - 0*i - 550. Calculate the remainder when j is divided by n.
8
Let l = -51 - -96. Let x = l + -43. What is the remainder when 10 is divided by (5/x)/((-5)/(-10))?
0
Let p(v) = 1046*v**2 + 3*v + 1. Let t be p(1). Suppose 13*k + 17*k = t. Calculate the remainder when 148 is divided by k.
8
What is the remainder when 347 is divided by (-2)/(-3*(-1)/(-87))?
57
Let j = -71726 + 72108. Suppose -51 - 59 = -2*u. What is the remainder when j is divided by u?
52
Suppose 5*t - 280 = 5*f, 4*t + f = 2*t + 97. Let c = -5 - -16. What is the remainder when t is divided by c?
7
Let k(s) = s**2 - 2*s + 2. Let h be k(0). Suppose -5*r - u = -71, -11*u = 4*r - 6*u - 61. Calculate the remainder when 107/h - (-36)/24 is divided by r.
13
Let m = -577 - -1156. Calculate the remainder when m is divided by 29.
28
Let a(p) = -p**3 + 8*p**2 - 4*p + 1. Let i = 164531 + -164521. Calculate the remainder when a(3) is divided by i.
4
Let k(r) be the second derivative of -r**5/20 - 23*r**4/12 + 13*r**2/2 + 7*r. Suppose 5*u - 34 = 156. What is the remainder when u is divided by k(-23)?
12
Let y(v) = -v**3 - 3*v**2 - 7*v - 14. Let u be y(5). Let t = u - -275. Calculate the remainder when t is divided by 14.
12
Suppose 2*n + 26 = i + i, 3 = 3*n. Let w = 389 + -364. Suppose 22*v = w*v - 114. Calculate the remainder when v is divided by i.
10
Suppose 5111 = 3*j - t, 122*t - 121*t + 3409 = 2*j. What is the remainder when j is divided by 835?
32
Let v(n) = -2*n**3 + 11*n**2 + 7*n - 5. Let y be v(6). Let r = -11 - -47. What is the remainder when ((-78 - y) + 1)*80/(-60) is divided by r?
32
Let m(r) = r**2 + 9*r - 23. Calculate the remainder when (8 - 5)*((-785)/(-15) + -5) is divided by m(-13).
26
Suppose 3*c = 2*b - 479, -2*c = 14 - 12. Calculate the remainder when b is divided by 10.
8
Calculate the remainder when 228 is divided by ((-12)/54 + 628/(-90))/((-55)/1650).
12
Suppose 4*m + 8 = 0, -964 + 33 = -5*o - 2*m. What is the remainder when o is divided by 15?
7
Let j(y) = -21 + 161*y + 29 - 47*y + 12. Let r be j(5). Suppose -9*z + r = z. What is the remainder when z is divided by 23?
13
Suppose -4*z + 5*r - 41 + 133 = 0, 4*z = -2*r + 36. What is the remainder when 81 is divided by z?
3
Let r(h) = h**2 - 47*h - 483. What is the remainder whe