uppose -4*z = 2*f - 24, 4*f - u*z + 47 = 134. Calculate the remainder when f is divided by n.
3
Let p be 12/60 + 78/10. Let l be 76/p + (-1)/(-2). Suppose 2*g - 18 - l = -5*v, 4*v - 4 = 3*g. Calculate the remainder when 15 is divided by g.
3
Let z = 4 - 0. Suppose 0 = -5*n - w + 18, 2*w = -17*n + 15*n + 4. Suppose n*a - g - 43 = -z*g, 4*a = 4*g + 36. Calculate the remainder when 37 is divided by a.
7
Suppose -22 = -5*w + 3*w. Let y = w - -2. Let j = 19 - -5. What is the remainder when j is divided by y?
11
Let q(k) = -72*k - 317. Calculate the remainder when q(-24) is divided by 101.
98
Let j(s) = 2*s**2 - 8*s - 5. Calculate the remainder when 424 is divided by j(-5).
84
Let a = 10 + 0. Suppose -j - 3*z = a, -4*z - 9 = -z. What is the remainder when 58 - (j - -2) - 1 is divided by 19?
18
Let u = -843 + 877. Calculate the remainder when 35 is divided by u.
1
Let b be 1205/(-30) + 1/6. Let d be ((-59)/(-3))/(1/3). Let w = b + d. Calculate the remainder when 36 is divided by w.
17
Let j(a) be the third derivative of -a**6/120 - a**5/60 + 29*a**3/6 - 30*a**2. Suppose -140 = -c - 25. What is the remainder when c is divided by j(0)?
28
Let t(x) = -x**3 + 17*x**2 - 15*x - 8. Let d be t(16). Calculate the remainder when (-20)/d*54/(-3) is divided by 12.
9
Suppose -x = -15 + 34. Let u = x + 38. What is the remainder when 56 is divided by u?
18
Suppose 0 = -4*i + 773 + 127. Let a = -130 + i. Suppose 10*x - a = 5*x. What is the remainder when x is divided by 7?
5
Let w = 10 - 8. Let t(v) = -4*v**2 + 3*v**w + 25*v - 35*v - 6. What is the remainder when t(-8) is divided by 4?
2
Let n be -2 - ((-111 - 1) + 2). Let h = -73 + n. Suppose -h = -5*l + d + 19, 3*l - 28 = 5*d. Calculate the remainder when 41 is divided by l.
8
Let u = 2510 + -2451. Let l = 96 - -18. What is the remainder when l is divided by u?
55
Let z(m) = m**3 - 5*m**2 + 31*m - 135. Calculate the remainder when z(6) is divided by 13.
9
Let u be (1 - -4)*(-4)/5. Calculate the remainder when 46 - 1 - (-4 - u) is divided by (18/7)/(186/868).
9
Suppose -i = -5*v + 3950, -5*v - 5*i + 3*i = -3965. Suppose v - 80 = -3*r. Calculate the remainder when 1/((-3)/r - 0) is divided by 20.
19
Suppose 4*a = 4*h - 24, 4*a + 4*h - 6*h + 24 = 0. Let u(q) be the first derivative of -q**2 - 5*q + 106. What is the remainder when u(a) is divided by 2?
1
Suppose -2*t + 434 = -2*c, -4*c - 78 + 946 = 4*t. What is the remainder when t is divided by 20?
17
Suppose -p + 8 = i, 2*p = i + 5*p - 16. What is the remainder when 23 is divided by 2/3*30/i?
3
Let o = -62 - -98. Calculate the remainder when (-56)/6*o/(-42) is divided by 3.
2
Let y(k) = 3*k**2 - 2*k - 2. Let u be y(2). Suppose -2*x - 32 = -4*p, 3*x + 62 = 5*p + u*x. What is the remainder when 2/p - 24/(-5) is divided by 3?
2
Let p(l) = l**2 - 5*l + 1. Let o be p(9). Suppose -o = -4*u + 23. Let f = -13 + u. Calculate the remainder when 7 is divided by f.
1
Let s be 1/3*1590/10. Suppose -2*l + s = -2*r - 259, 0 = 4*r. Suppose o = 2, 0*j = 4*j - 4*o - l. Calculate the remainder when j is divided by 11.
8
Let d(h) = 14*h - 32. Calculate the remainder when 95 is divided by d(4).
23
Let y = 40 + -27. Suppose 2*f - y = -9. Suppose -50 = -f*n + 52. Calculate the remainder when n is divided by 26.
25
Suppose 0 = 8*u - 29 - 27. What is the remainder when 26 is divided by u?
5
Let n = 64 + -61. Suppose n*s + 27 = 6*s. What is the remainder when 43 is divided by s?
7
Suppose 5*s + 5*v - 834 + 209 = 0, 0 = 3*s - 5*v - 399. What is the remainder when s is divided by 48?
32
Suppose -463 = -25*c + 362. What is the remainder when 130 is divided by c?
31
Let w(r) = 13*r - 9. Let n(y) = -y - 3. Let d be n(-5). What is the remainder when w(d) is divided by 4?
1
Let j = 225 + -223. What is the remainder when 11 is divided by j?
1
Let s(t) = -t**2 - t - 1. Let p be s(0). Let l be 4 - p*0/2. Suppose -2*q + 0 + 15 = 5*r, 18 = 2*q + l*r. What is the remainder when 29 is divided by q?
14
Suppose 21*m - 17*m - 8 = 0. What is the remainder when 35 is divided by (m + 10/(-4))*-24?
11
Let l = 43 - 25. Let t = -13 + l. Suppose 3*h + 286 + 204 = 73*h. Calculate the remainder when h is divided by t.
2
Let o(c) = -27*c - 271. Suppose -5*a - 533 = -1318. Calculate the remainder when a is divided by o(-12).
51
Let i(t) = 3*t - 14. Let s(f) = 5*f - 13. Let w(p) = -3*i(p) + 2*s(p). Calculate the remainder when 26 is divided by w(-9).
5
Let j be 5/((-21)/(-12) + -2). Let m = 38 + j. Calculate the remainder when 52 is divided by m.
16
Let j(p) = 10*p - 22. Calculate the remainder when 110 is divided by j(5).
26
Let h(g) = g**3 - 15*g**2 - 17*g + 15. Let v be h(16). What is the remainder when (-3)/v - (-13 + (-48)/6) is divided by 11?
2
Suppose 4*m + 620 = -4*j - 32, -4*m = 2*j + 328. Let s(f) = -f**2 - 2*f + 6. Let y be s(-4). What is the remainder when 25 is divided by j/(-24) - y/8?
4
Suppose 6*j = 2*j + 8. Suppose 41 = 5*s - 2*f - 101, 0 = -j*s - 5*f + 51. Let i(q) = -23*q - 4. What is the remainder when i(-5) is divided by s?
27
Suppose -5 = y - 6*y. What is the remainder when (3/(-6))/y*-106 is divided by 9?
8
Suppose -5*a + 10*a - 230 = 0. Let h = a - 22. Suppose -4*o - 105 - h = -3*z, 0 = 2*z + 3*o - 103. Calculate the remainder when z is divided by 12.
11
Suppose 0 = -3*n - 2*f + 61, -2*f = -5*n - 0*f + 107. Calculate the remainder when 244/(-6)*36/(-24) is divided by n.
19
Let o = 7 - 2. Suppose o*f = -3*g - 17 - 3, 3*f + 12 = 3*g. Calculate the remainder when f/((-8)/78) - -3 is divided by 15.
12
Let m(v) = v**3 - 12*v**2 - 9*v - 19. Let o be m(13). Suppose -2*t + 37 = -o. Calculate the remainder when t is divided by 19.
16
Let t(c) = -c**2 - 10*c - 13. Let a be t(-18). Let q = 261 + a. Calculate the remainder when q is divided by 35.
34
Let r = 192 + -188. What is the remainder when 20 is divided by r?
0
Suppose 7*j - 3*j = 3*z + 113, -2*j - 3*z + 79 = 0. What is the remainder when 87 is divided by j?
23
Suppose -3*n + 8 = n. Let r(t) = 7*t**3 + 4*t**2 - 7*t + 1. What is the remainder when r(n) is divided by 10?
9
Suppose 0 = -4*a + 4*n - 9*n + 68, 17 = a + 4*n. What is the remainder when 9/((-72)/(-376)) - -2 is divided by a?
15
Let h be (-2)/(-10) + (-14)/70. Suppose h = -0*o - 10*o + 550. Calculate the remainder when o is divided by 29.
26
Let f = 133 + -98. What is the remainder when 71 is divided by f?
1
Let y = 307 + -277. Calculate the remainder when y is divided by 21.
9
Suppose 3*n - 31 + 28 = 0. Suppose 0 = 2*q - 5 + n. Let p = 5 - -5. What is the remainder when p is divided by q?
0
Suppose -4*x + 333 - 105 = 0. Let v = x + -20. What is the remainder when v is divided by 8?
5
Let m(x) = -x**2 - 5*x - 2. Let o be m(-4). Let d(h) = 9*h - 3. Suppose 3*r - 1 - 11 = 0. What is the remainder when d(o) is divided by r?
3
Suppose 73 = -21*i + 766. What is the remainder when 111 is divided by i?
12
Suppose -o = -3*y - 22 - 1, -o = 5*y + 1. What is the remainder when 109 is divided by o?
11
Suppose 5*j - 166 = 4. Let k = j + -9. Calculate the remainder when 47 is divided by k.
22
Suppose 2*v + 100 = 5*z - 2*v, 34 = z + 2*v. Calculate the remainder when 133 is divided by z.
13
Suppose -w = -1023 + 1016. What is the remainder when 45 is divided by w?
3
Suppose 5*v = -3*k - 6 + 39, 3*v - 9 = 0. Let n(a) = a**2 + a - 62. What is the remainder when n(-9) is divided by k?
4
Let v be 170/51 - 2/6. Suppose 0 = 4*x - v*x - 31. What is the remainder when 60 is divided by x?
29
Let m(f) = -4*f - 47. Let l be m(-8). Let i = 11 - 4. Calculate the remainder when i is divided by (5/l)/(1/(-9)).
1
Suppose -24*u - 1745 = -29*u. What is the remainder when u is divided by 32?
29
Suppose -72*r + 264 = -70*r. Calculate the remainder when r is divided by 45.
42
Suppose 0 = -166*o + 165*o + 21. Calculate the remainder when 230 is divided by o.
20
Suppose 6*s - 63 = -3*d + 9*s, -d - 5*s + 39 = 0. Calculate the remainder when 118 is divided by d.
22
Suppose 5*j + 3 = -2, 0 = -2*h + 5*j + 225. Suppose -x = -6*x + h. Calculate the remainder when x is divided by (-86)/(-30)*5 + 8/(-6).
9
Let s(b) = -b**3 + b**2 + 17. Let r(q) = q + 1. Let m be r(-1). Calculate the remainder when 32 is divided by s(m).
15
Let j(g) = -g**3 - 19*g**2 - 82*g - 12. What is the remainder when j(-6) is divided by 7?
5
Suppose 5*c + p = -102