d by 22.
21
Let p(l) = -8*l - 3. Suppose -46*q = 31*q - 8701. What is the remainder when q is divided by p(-4)?
26
Suppose 43*n + 14472 = -15972. Let m = n + 763. Calculate the remainder when 160 is divided by m.
50
Let p be 28/(-392) - (-1)/14. Suppose 4*s - 63 - 5 = p. Calculate the remainder when 271 is divided by s.
16
Let h(z) = -3*z**3 - 5*z**2 + 17*z + 64. Let s = 223 + -227. Calculate the remainder when h(s) is divided by 14.
10
Let x(l) = -9*l**3 + 3*l**2 + 2*l + 2. Suppose 65 = -2*w + 71. Let v = w - -39. What is the remainder when x(-2) is divided by v?
40
Suppose a + 3 - 6 = 0. Suppose 0 = a*v - 15, -4*p = -3*v + 1 + 10. Calculate the remainder when (-72)/(-6) - (-3 + p) is divided by 5.
4
Let j(h) = -38*h + 1466. Calculate the remainder when 3956 is divided by j(38).
18
Suppose -5 = p - 11. Suppose 5*r + 17 = -4*n + n, 24 = 4*n - 5*r. Calculate the remainder when p is divided by 11 - n - (11 + -7).
0
Let l(g) be the first derivative of -g**3/3 - 17*g**2/2 + 4*g - 4. Let f = -447 - -430. Calculate the remainder when 29 is divided by l(f).
1
Suppose -8*x + 255 + 65 = 0. Suppose 0 = l - 4, -2*n - 3*l = -36 - x. Calculate the remainder when n is divided by 6.
2
What is the remainder when 340 is divided by (0 - 24/3)*-11?
76
Let q(r) = -r**2 - 8*r + 4. Let x be q(-3). Suppose 11*y - 570 = -x*y. What is the remainder when 53 is divided by y?
15
Let f = -20 + 33. Suppose -4 = -3*z - 3*k - 1, 4*z + k = f. Suppose -53 = -z*v - 5*t, 8*v - 4*v = -3*t + 59. Calculate the remainder when v is divided by 16.
1
Let n(c) = 4*c**2 + 8*c + 29. Calculate the remainder when 190 is divided by n(-4).
7
Suppose 0 = -2*i + i. Suppose 0 = -2*z + 4*p + 66, -3*z + i*p + 2*p + 91 = 0. Suppose 128 + 70 = 18*d. Calculate the remainder when z is divided by d.
7
Let w(y) = y**3 + 145*y**2 - 172*y - 3781. Let v(a) = 2*a**2 + 3*a + 3. What is the remainder when v(6) is divided by w(-146)?
3
Suppose -33 = -3*n + 27. Let s(m) = -19 - 3 + m + 21*m**2 + 0*m**3 - 19*m - m**3. Calculate the remainder when 51 is divided by s(n).
15
Let c = 5 + -1. Suppose -a = -4*z + z - 4, -4*z = c*a - 96. Suppose -j = -i + 383 - 396, -3*i - 6 = 0. Calculate the remainder when a is divided by j.
8
Let g be 7 + (-5 - -4)*5. Suppose 0 = g*i - 6, 0*b = b + 3*i - 336. Calculate the remainder when b is divided by 47.
45
Suppose 110 = 4*d + 2*y + y, -d = 5*y - 36. Suppose 32*b - d*b = 138. What is the remainder when 114 is divided by b?
22
Let j = -14 + 30. Calculate the remainder when 1008/j*(2 - (-1 + 2)) is divided by 26.
11
Let y(l) = -2*l - 1. Let u be y(-1). Let v(g) be the third derivative of -g**4/4 + 3*g**3/2 - 2968*g**2. What is the remainder when 6 is divided by v(u)?
0
Let n(z) = 15*z + 31. Let s(a) = 8*a + 15. Let j(q) = 3*n(q) - 7*s(q). Let u be j(-4). Let x = u + -22. Calculate the remainder when 48 is divided by x.
8
Let y = 88 + -134. Let t = 48 + y. Suppose 0*g - 2*g - 2*r = -182, 0 = t*r - 4. Calculate the remainder when g is divided by 23.
20
Let y(k) = 5*k**3 - 8*k**2 + k - 5. Let d be y(4). Suppose 13*z - 43 - d = 0. Suppose 0 = 14*s - z*s + 76. What is the remainder when 302 is divided by s?
17
Calculate the remainder when 325 is divided by (-2)/(-5)*(-9840)/(-48).
79
Let w = 1848 - 695. Suppose 577 = 2*u - m, 2*m + w = 4*u - m. Calculate the remainder when u is divided by 29.
28
Let k = 109 + -224. Let d = -78 - k. Let o(u) = 2*u**2 - 143*u - 59. What is the remainder when d is divided by o(72)?
11
Let z = -144 + 157. Suppose 0 = -5*x - z*x + 3744. What is the remainder when x is divided by 10?
8
Suppose 5*d + 2960 = 5*n, 1422 = 3*n + 3*d - 378. Calculate the remainder when n is divided by 11.
2
Suppose -i - 1104 - 1051 = -5*r, 0 = 5*i. What is the remainder when r is divided by 209?
13
Suppose 0 = -2*t - 4, -5*f + 15*t = 11*t - 8958. What is the remainder when f is divided by 48?
14
Let m = 78 + -78. Suppose 4*q + v - 173 = m, -5*q + 10*q - 214 = -2*v. What is the remainder when q is divided by 27?
17
Suppose -22*x = -29*x + 56. Suppose 0 = -x*m + 236 - 156. What is the remainder when 146 is divided by m?
6
Suppose 8 = 3*b + 5*g - 8, -b + 2*g + 20 = 0. Let c = -2 + b. Suppose -8*h + 233 + 63 = 0. What is the remainder when h is divided by c?
7
Suppose -4022 = -5*v - 197. Calculate the remainder when v is divided by 13.
11
Suppose 999 + 4099 = 7*k - 5*k. What is the remainder when k is divided by 37?
33
Let h(j) = -2*j**3 - 31*j**2 - 167*j + 91. Calculate the remainder when h(-6) is divided by 197.
15
Suppose -34*y + 122 = -966. What is the remainder when (-14)/5 - (-13)/(-65) - -93 is divided by y?
26
Let p = 43 - -43. Let u = -139 + p. Let b = u + 63. What is the remainder when 37 is divided by b?
7
Let m be (78/(-18) + 4)*(-10 - -4). Suppose -m*p - 5*u + 107 = 0, -5*u = -3*p + 224 - 26. Calculate the remainder when p is divided by 32.
29
Suppose 13 = -5*w + 3*x + 87, w - 8 = 4*x. Let a = 17 + 4. Calculate the remainder when a is divided by w.
5
Let i be 1 + (21/6)/(2/4). Suppose 0 = -4*c + i + 8. Suppose -52 = 2*u - 7*u + 4*s, -c*s = 5*u - 68. Calculate the remainder when 56 is divided by u.
8
Suppose -2*f + 2577 = 4*v + 2257, 2*f = 4. Calculate the remainder when (-4)/(-14) + 1083/7 is divided by v.
76
Let f(u) = -u**3 + 3*u**2 - 8. Let i = 10 - 44. Let g be (-490)/119 + (-4)/i. Calculate the remainder when f(g) is divided by 35.
34
Suppose 5*o - 2*v - 3 = -4, -5*v = 4*o - 19. What is the remainder when 390/(8 + 5) + 5*o is divided by 6?
5
Suppose 585 = 5*d - 2*d. Let m = -17471 + 17493. Calculate the remainder when d is divided by m.
19
Suppose 343*t - 563*t = -748660. Calculate the remainder when t is divided by 8.
3
Let z(m) = -13*m - 266. Let b be z(-41). Suppose -b = -13*t - 20. Calculate the remainder when 111 is divided by t.
16
Suppose -6*l + 305 = -l. Let w = -9958 + 9991. What is the remainder when l is divided by w?
28
Suppose 7*a - 2*j - 14 = 5*a, -j = -4*a + 49. Suppose 2*n - n - 29 = 0. Calculate the remainder when n is divided by a.
1
Let n(g) = -g**3 - 11*g**2 - 10*g - 5. Let o be n(-10). Calculate the remainder when ((0 - o) + -6)*-129 is divided by -2*1 + (-175)/(-5).
30
Calculate the remainder when (1 - 2)*-2047*(-10)/(-10) is divided by 1017.
13
Suppose 29*v - 16476 = 16265. Calculate the remainder when v is divided by 52.
37
Let v(b) = -2*b**3 + 2 + 12*b - 38*b**2 - 6*b - 10*b. What is the remainder when v(-19) is divided by 4/((12/16)/3)?
14
Suppose 4*i = 0, -4*v - 4*i = -0*v + 12. Let a = -11 + 109. Calculate the remainder when a is divided by (-62)/(-3) - (-2)/v.
18
Let y(j) = 2*j + 301. Calculate the remainder when y(28) is divided by 40.
37
Let w = -17860 - -18008. Calculate the remainder when 434 is divided by w.
138
Let h(g) = g**2 + 3*g + 44. Let k be h(-5). Suppose -4*v = -k - 14. Calculate the remainder when 21 is divided by v.
4
Let k = -2966 + 2994. What is the remainder when 783 is divided by k?
27
Let c = -2921 - -2930. Calculate the remainder when 2668 is divided by c.
4
Let s(o) = 2*o**2 - 5*o + 23. Let c = 57 + -40. Calculate the remainder when s(6) is divided by c.
14
Suppose p - 5539 = -40*p + 12*p. Calculate the remainder when p is divided by 0 + 96/9*3.
31
Suppose 2057 - 632 = 25*n. What is the remainder when 113 is divided by n?
56
Suppose 5*i - 18 = -2*f, -i = f + 2 - 8. Suppose -i*x = -x - 17. Let c = 41 - x. What is the remainder when c is divided by 5?
4
What is the remainder when 1609 is divided by (9960/(-90))/(5/((-30)/8) + 0)?
32
Let l be (1/2)/((-13)/10348). Let h = -385 - l. What is the remainder when 532 is divided by h?
12
Suppose 5*g - 4*i + 2*i = 36, g + 4*i = -6. Let k be ((-88)/11)/((-36)/34 + 1). Suppose -6*l + 10*l = k. Calculate the remainder when l is divided by g.
4
Let i be (-1)/2*-6*13. Suppose -23 = -3*y + 2*y - 3*r, 5*y = 4*r + i. What is the remainder when 29 is divided by y?
7
Suppose -3*l - 2*y - 853 + 24 = 0, 4*l - y + 1098 = 0. Let m = l - -335. Calculate the remainder when m is divided by 31.
29
Suppose 0*l - 8 = -4*l. What is the remainder when l is divided by 26/(-169) + (-1 - (1 - 162/39))?
0
Let n = 1856 + -307. What is the remainder when 6201 is divided by n?
5
Let k = 5346 + -5252. What is the remainder when 5074 is divided by k?
92
Suppose -2*b + 321 = -c, 2*b = -b + 4*c + 484. Wha