s the remainder when 107 is divided by p(74)?
32
Suppose -56*r = -11861 + 3181. What is the remainder when r is divided by 58?
39
Let f(x) be the second derivative of 0 + 1/2*x**4 - 1/20*x**5 + 13*x - x**2 + x**3. What is the remainder when f(6) is divided by 12?
10
Let k be (14 - 4)*(-222)/(-15). Suppose -5*z - o = -k, 2*z - o = 4*o + 70. Let i = z - 13. What is the remainder when i is divided by 8?
1
Let m(j) = -64*j - 94. Suppose 0*f + 3*k + 15 = -4*f, 3*f + 4 = 5*k. Let l(g) = -5*g - 6. What is the remainder when m(-2) is divided by l(f)?
7
Let x = -127 + 130. Suppose -5*w + 9 = 3*s, -15 = 4*w - x. What is the remainder when 131 is divided by s?
3
Let p(h) = -69*h + 752. What is the remainder when p(8) is divided by 32?
8
Suppose -15 = 5*h, 0 = l + 5*h + 1005 - 1299. Calculate the remainder when 691 is divided by l.
73
Suppose 0 = -45*j + 2647 - 487. Calculate the remainder when 659 is divided by j.
35
Suppose -2*k - 2108 = -4*k - 4*v, 0 = -4*k - 3*v + 4241. What is the remainder when k is divided by 67?
59
Suppose 0 = -g - 5*h + 41, -h + 0*h = 5*g - 277. Let z = g - 55. Let f(p) = 23*p - 2. What is the remainder when 60 is divided by f(z)?
18
Let z = -129 - -102. Let k = z + 45. What is the remainder when k is divided by 7?
4
Let m(o) = -3*o**2 - 39*o. Let h be m(-13). Let a = 134 + h. What is the remainder when a is divided by 5?
4
Suppose 0 = -349*f - 127698 + 572324. What is the remainder when f is divided by 178?
28
Suppose -2*d + 22*x + 133 = 17*x, -3*x + 21 = 0. What is the remainder when d is divided by 9?
3
Let y(i) = -13*i**2 + 11*i + 61. Let l be y(8). Let v = l - -703. What is the remainder when 39 is divided by v?
19
Let f(h) = 171*h - 2132. What is the remainder when 1171 is divided by f(13)?
79
Suppose -251*h + 304*h - 1378 = 0. What is the remainder when 440 is divided by h?
24
Suppose 0 = 2*q - 6 + 4, 5*t = -4*q - 16. What is the remainder when 29 is divided by -3*(t + (-3)/(-9))?
7
Let i(d) = 156*d + 4121. Calculate the remainder when 176 is divided by i(-26).
46
Let s(t) = 54*t**2 + 4*t + 3. Let a be s(-1). Suppose a + 22 = -5*l. What is the remainder when 54 + 5*l/(-25) is divided by 6?
3
Let j(l) = 42*l + 69. What is the remainder when j(11) is divided by 259?
13
Suppose 3749 + 4174 = 57*v. Calculate the remainder when v is divided by 28.
27
Suppose 3*n + s - 2932 = 0, -5*n - 2*s - 263 + 5148 = 0. What is the remainder when n is divided by 52?
43
Let j = -4354 + 4485. Calculate the remainder when j is divided by 60.
11
Suppose 3*n + 107 = 4*s - 6*s, 0 = 2*s + 4*n + 102. Suppose -31*u - 3*u = 1632. Let z = u - s. What is the remainder when 36 is divided by z?
10
Let p(f) = -2*f + 990. Calculate the remainder when p(9) is divided by 483.
6
Let w(g) = g**3 + 37*g**2 - 153*g + 468. Calculate the remainder when 1397 is divided by w(-41).
3
Let s(o) be the second derivative of -o**4/6 + 6*o**3 - 31*o**2/2 + 4*o. What is the remainder when 96 is divided by s(16)?
30
Let m = 9 - -39. Calculate the remainder when 7677 is divided by m.
45
Let f = -23 + 49. Suppose -51*j = 150*j - 170*j - 1581. What is the remainder when j is divided by f?
25
Let d(c) = 2*c**3 + 23*c**2 + 9*c - 32. Let u be d(-11). Calculate the remainder when ((-5336)/(-230))/((-4)/u) is divided by 20.
18
Suppose -4*i = -3*b - 1247, 5*i + 548 = -3*b - 654. Let p = -267 - b. What is the remainder when p is divided by 36?
34
Let j = 13 - 5. Suppose 0*v - v + j = 0. Calculate the remainder when (84/(-18))/((-11)/6 - 174/(-116)) is divided by v.
6
Suppose a = 7*a. Suppose a = -2*b - 32 + 14. Let h(z) = z**3 + 9*z**2 + 3. Calculate the remainder when 4 is divided by h(b).
1
Suppose 0 = 4*j - 7*j + 12. Suppose -27*s + 26*s = -j*l + 422, 0 = 2*l - s - 210. What is the remainder when l is divided by 28?
22
Suppose -2*n = 5*v - 16, v - 6 = n - 0. Suppose 0 = 3*r - 16 + 1. Suppose 5*u = -5*d + 25, 0 = v*d + r*u - 25 + 6. What is the remainder when 9 is divided by d?
3
Let k(r) = 6*r + 210. Let i be k(-35). Suppose i = 2*j - 3*y - 50, -5*j = -2*j + 5*y - 56. What is the remainder when 31 is divided by j?
9
Let q = -1183 + 1188. Suppose 2*y = y + 38. Calculate the remainder when y is divided by q.
3
Suppose 3*y + 4*d = 14, -2*y + 4*d + 10 = 7*d. Calculate the remainder when y/14 - 16048/(-413) is divided by 11.
6
Let t = -61 - -27. Suppose 0 = 68*m - 258*m + 6927 + 673. Let x = t + m. What is the remainder when 17 is divided by x?
5
Let t be (133 - 21) + (-2 - 0/2). Let k = t + 36. Calculate the remainder when k is divided by 98*3*(-2)/(-12).
48
Let x be -3 + 7 + 4 - 6. Suppose 52 = x*c - 5*t, c = 2*c + 5*t + 4. What is the remainder when 651/14*8/3 is divided by c?
12
Suppose 4*p + 0*p = -8. Let l be (4 - (2 + 3))/((-2)/p). What is the remainder when 0 - ((-52)/8)/(l/(-2)) is divided by 4?
1
Let v = -953 + 1152. Let d(y) = 6*y + 4. Calculate the remainder when v is divided by d(6).
39
Let t be (-2445)/165 + (-4)/22. Calculate the remainder when (2 - t/(-6))/((-2)/224) is divided by 32.
24
Suppose -37*f - 2*v = -42*f + 10124, -2*f + 4037 = -5*v. Calculate the remainder when f is divided by 35.
31
Let l(y) = -3*y**3 + 12*y**2 + 8*y - 17. Let w(j) = j**3 + j**2 - 2*j. Let n(d) = -l(d) - 4*w(d). Calculate the remainder when 26 is divided by n(-16).
9
Let h = -7 + 33. Let v be 1/6 - (-2 - h/(-12)). Suppose 3*d + 4*b - 6*b - 153 = 0, 3*d + b - 144 = v. Calculate the remainder when d is divided by 27.
22
Calculate the remainder when (-1379)/(-2) + 101/(-202) is divided by 112.
17
Suppose -p + 5*x = -36, -2*p - 5*x + 12 = -15. Let j(h) = 21*h - 4. Let i be j(2). Let z = 75 - i. What is the remainder when z is divided by p?
16
Suppose -5*a + 1098 + 462 = 0. Suppose -259*i + 460 + 1282 = -589. Calculate the remainder when a is divided by i.
6
Suppose -n + 14959 = 3*n + w, -3733 = -n + 2*w. Calculate the remainder when n is divided by 20.
19
Suppose 4*u - 15 = -m, u - 2*u - 3*m + 1 = 0. What is the remainder when (26/(-8) - -1)*(-225 - -213) is divided by u?
3
Let i = -6 + 8. Suppose 10*t - 5*t = 4*f - 35, -5*t = 15. Suppose -3*j + 231 = 3*s, -i*j + f*s = -5*j + 237. What is the remainder when j is divided by 19?
17
Suppose 5*y - 7*y = -18. Let m = -221 - -237. What is the remainder when m is divided by y?
7
Suppose -16*c = -21*c - 2*b + 300, -320 = -5*c + 2*b. What is the remainder when 369 is divided by c?
59
Suppose o = c + 2*o - 40538, 0 = c - 2*o - 40550. Suppose -15*x + 73*x = c. Calculate the remainder when x is divided by 35.
34
Suppose -665 - 15 = -12*h + 2812. What is the remainder when h is divided by 3?
0
Suppose 2575*f - 2545*f = 6270. Calculate the remainder when f is divided by 100.
9
Let w(s) = s**3 - 8*s**2 - 5*s + 5. Suppose -349 = 15*g - 484. Let z(j) = -j**2 + 6*j + 6. Calculate the remainder when w(g) is divided by z(5).
8
Let d(p) = -p**2 - 48*p + 1147. Calculate the remainder when 5669 is divided by d(17).
41
Suppose 375*z = 406*z - 1240. What is the remainder when 135 is divided by z?
15
Suppose -2*g - 4*b + 168 = 0, g + 9*b = 5*b + 82. What is the remainder when 140 is divided by g?
54
Suppose -72*i + 279 + 369 = 0. Let o(a) = -a + 1. Let l(z) = z**2 - 7*z - 13. Let u(c) = l(c) - 2*o(c). Calculate the remainder when 123 is divided by u(i).
18
Suppose -2*v - 3*m = -753, 0 = -4*m + 1 - 13. Let i = v + -129. What is the remainder when i is divided by 15?
12
Let s(t) = 21*t. Let u be s(1). Suppose -u = -q - 2*q. Suppose -21 = -3*l + 5*w, -l + 0*w - 3*w + q = 0. Calculate the remainder when 43 is divided by l.
1
Calculate the remainder when 55/220 + (-13422)/(-8) is divided by 16.
14
Let m = -111 - -111. Suppose -2*q + 101 + 113 = m. Calculate the remainder when q is divided by (40/(-15))/(4/(-42)).
23
Let g = 8 + -4. Let q = g - -5. Suppose 0 = -607*s + 623*s - 400. What is the remainder when s is divided by q?
7
Let v(j) = -2*j**3 - 4*j**2 + 7*j + 5. Let h be v(-4). Suppose 13 + h = 3*t. What is the remainder when 32 is divided by t?
14
Let i(b) = 8*b - 47. Let p = 74 - 34. What is the remainder when (1*-7)/((-8)/p) is divided by i(7)?
8
Let w = 29269 + -28726. What is the remainder when w is divided by 80?
63
Suppose 116*h - 35826 = 74*h. What is the remainder when h is divided by 21?
13
Suppose -15*c = -71*c + 236936. What is the remainder when c is divid