ded by 32?
29
Suppose 2*q - 18 = -q. Suppose -b = -2*b + q. Let d(c) = -2*c**2 + 17*c - 1. Calculate the remainder when d(6) is divided by b.
5
Let l = -706 - -192. Let g = l + 853. Calculate the remainder when g is divided by 19.
16
Let a(b) = 6*b**2 + 40*b + 46. Let f(v) = 5*v**2 + 39*v + 47. Let k(n) = -3*a(n) + 4*f(n). Calculate the remainder when 46 is divided by k(-17).
14
Suppose -5*x = 4*n - 12718, 10160 = -x + 5*x - 4*n. What is the remainder when x is divided by 422?
10
Let m be (4/6)/(-5 + 77/15). What is the remainder when 83 is divided by ((-4)/7)/(m/(-245))?
27
What is the remainder when 233 is divided by 10/((-80)/476)*-2?
114
Suppose r - 2 = 3. Let s be (-2)/10 - (-1)/r. Suppose s = 5*l + 3 - 13, -5*c + 241 = 3*l. What is the remainder when c is divided by 11?
3
Suppose 8*o + 527 = -289. Let m(g) = 99*g**3 + g**2 - 7*g + 5. What is the remainder when m(1) is divided by (o/(-4))/(12/16)?
30
Let j(i) = i + 1. Let a be j(5). What is the remainder when 15/(a/4 - 1) is divided by 13?
4
Suppose -f + 6*u = 7*u - 5, -34 = -2*f + 4*u. Suppose 6*d - 5*d - 26 = 0. What is the remainder when d is divided by f?
8
Let z(h) = h**2 - 75*h - 716. What is the remainder when 1202 is divided by z(-10)?
130
Let n = 4169 - 4120. What is the remainder when 193 is divided by n?
46
Calculate the remainder when 3*(-9 + 13) - -568 is divided by 99.
85
Let k be -6*(-72)/(-270)*(-10)/1. Suppose 5*g - r - 125 = k, 133 = 5*g - 3*r. What is the remainder when g is divided by 16?
13
Suppose 5*r + 59 = b, 3*b - r - 82 = b. Let n be (b/(-9))/(4/36). Let o = -24 - n. What is the remainder when o is divided by 4?
3
Let n = 6 + -44. Suppose 5*g = -5*t - 195, -4*g + 2*t - 196 = -2*t. Let c = n - g. What is the remainder when 27 is divided by c?
3
Suppose -3*c - 715 = 2*l, 342 = 3*l + c + 1425. Let d = -353 - l. Calculate the remainder when 23 is divided by d.
5
Suppose -u + 0*g - g + 9 = 0, -4*u + 57 = -3*g. Suppose -33 - u = -3*c. Suppose -17*r + 74 = -c*r. Calculate the remainder when r is divided by 13.
11
Let g = 41 + -36. Suppose 5*f + 5*i + 55 = 0, -g*i - 43 = -f + 5*f. Let u = f + 29. Calculate the remainder when 29 is divided by u.
12
Let g = 464 - 457. Let o(m) = 2*m + 2. Let c be o(-4). Calculate the remainder when g is divided by (-6 - c) + (1 - -2).
1
Let n(s) = -2*s**3 - 2*s**2 + 3*s - 3. Suppose -309*r - 355*r + 3888 = -628*r. What is the remainder when r is divided by n(-3)?
12
Let n(w) = w**3 + 11*w**2 + w + 16. Let a be 3376/(-304) - (-4)/38. Let o be n(a). Suppose -o*c = -c - 36. What is the remainder when c is divided by 2?
1
Suppose -56*p + 155*p + 176*p = 405900. Calculate the remainder when p is divided by 43.
14
Calculate the remainder when (-66)/1221 + (-107413)/(-37) is divided by 44.
43
Let y(q) = q**2 - 48*q + 586. What is the remainder when (190/57)/(2/45) is divided by y(21)?
18
Suppose -2*b = -0*b - 18. Let n be (-2)/(-9) - (182/9 - 1). What is the remainder when 12 + -6 + (0 - n) is divided by b?
7
Suppose q = -3*x + 40, 5*x = x + 2*q + 70. What is the remainder when 3764 is divided by x?
14
Calculate the remainder when 671/5*(378/18 + -16) is divided by 21.
20
Calculate the remainder when 576 + 3/5*(-650)/(-78) is divided by 70.
21
Suppose 4*w + 12 = 0, -4*w + 11 = 2*m - w. Suppose 4*v - 17 = -2*u - v, 0 = 2*v + m. Calculate the remainder when 1/(-3) + (-15)/9 - -62 is divided by u.
18
Let l(s) = -4*s + 99. Let p be (-86)/(-4) - (7 - 68/8). Calculate the remainder when 21 is divided by l(p).
0
Let p(f) = -f**3 + 35*f**2 - 212*f + 67. Calculate the remainder when p(27) is divided by 83.
9
Suppose 10*m = 11*m - 54. Let f = m + 0. Calculate the remainder when f is divided by 19.
16
Let x be (-8)/(-12)*6 - -108. Suppose o + 65 = -3*o - 5*u, 0 = 5*o - 4*u + x. Calculate the remainder when 93 is divided by -4*(-94)/20 + (-4)/o.
17
What is the remainder when 2154 is divided by 28 + 11 + -12 + -13?
12
Let j = 2033 + -1997. Let r = -10 + 16. Suppose -3*d + 145 = 2*q, 0 = 2*q + r*d - 2*d - 146. Calculate the remainder when q is divided by j.
35
Let n(l) = 11*l**2 + 12*l + 14. Suppose -2*j = 12*j + 42. Calculate the remainder when n(j) is divided by 29.
19
Let s(z) = z**2 - z. Let d be s(0). Suppose 0 = -3*i + 15 - d. Let u(h) = -3*h**3 - 7*h**2 + 9*h + 28. What is the remainder when u(-3) is divided by i?
4
Let r = 115 + -116. Let b be (4*14)/2 - (r + 2). Calculate the remainder when 60 is divided by (-3)/6 + (b/6 - -5).
6
Let l(b) = -9*b - 13 + 28 + 21*b + 73*b. Calculate the remainder when l(1) is divided by 21.
16
Let m(x) = x**3 + 27*x**2 - x - 22. Let u be m(-27). Suppose u = 8*q - 67. Suppose 2*p - q = 9. Calculate the remainder when p is divided by 6.
3
Let h(r) be the third derivative of -r**4/3 - 97*r**3/6 + 41*r**2. Suppose 5*t - 107 = -27. Calculate the remainder when h(-18) is divided by t.
15
Let u(v) = 7*v**3 - 3*v**2 + 4*v + 2. Suppose -10*z + 456 = -4*z. Suppose 4*l = 8*l - z. What is the remainder when u(2) is divided by l?
16
Suppose 109 = 5*o - g - 1389, -5*g - 1211 = -4*o. Let y = 311 - o. What is the remainder when 72 is divided by y?
0
Suppose -1928 = -8*d + 72*g - 70*g, 5*d = -2*g + 1179. Calculate the remainder when d is divided by 173/7 + (-2)/(-7).
14
Suppose x + 3*h - 6 = 0, 2*x = 6*x + 3*h - 33. Let n(l) be the first derivative of 13*l**3/3 - l**2/2 + 43. Calculate the remainder when n(1) is divided by x.
3
Suppose 35 = 4*q + 5*s, -2*q - 4 + 29 = -5*s. Suppose -q*w = -2*w - 88. Suppose 3*g - 19 - 2 = 0. What is the remainder when w is divided by g?
4
Let i be 2852/8*10/1. Suppose -i + 26245 = 14*u. Suppose -15*s = -3*s - u. Calculate the remainder when s is divided by 17.
16
Suppose 5*z + a = 118040, -8*z + 183381 = -3*a - 5460. What is the remainder when z is divided by 17?
11
Suppose 469 - 273 = 61*z - 2793. What is the remainder when 1959 is divided by z?
48
Let s = 630 - 446. Suppose 4*u - s - 124 = 0. Let a(m) = -27*m**3 - 2*m**2 - 2*m - 1. Calculate the remainder when u is divided by a(-1).
25
Suppose -7*q + 1125 = 572. Suppose 0 = -4*o - 0*o + 160. Calculate the remainder when q is divided by o.
39
Let n(l) = l**2 + l - 26. Let u be n(-6). Suppose -2*w - 4 = 0, u*w - 54 = -2*i + 5*w. What is the remainder when i is divided by 16?
10
What is the remainder when 101 is divided by (558/(-8))/(171/(-228))?
8
Let s(d) = -7*d + 105. Let j(l) = l + 33. What is the remainder when s(-7) is divided by j(-7)?
24
Let m = 1133 - 1115. Calculate the remainder when 949 is divided by m.
13
Suppose -d + 13 - 12 = 0. Let v be d/(-3) - 20/12. Calculate the remainder when 85 is divided by ((-46)/(-4))/(v/(-4)).
16
Let m = -944 + 971. Let l = 75 + 1. Calculate the remainder when l is divided by m.
22
Suppose -4*w - 3*j = -7538, 4*w - 22*j - 7536 = -24*j. Calculate the remainder when w is divided by 236.
231
Suppose -7843 = -59*f + 18117. Let g = 464 - f. What is the remainder when g is divided by 13/(-1)*-1 - -1?
10
Suppose d - 385 - 39 = 2*t, -t = 2*d - 828. Suppose 0 = 5*f - u - d, 0*f + 5*f + 3*u = 432. Calculate the remainder when f is divided by 18.
12
Let y(c) = c**3 + 8*c**2 + 5. Let v be y(-8). Suppose v = j - 6. Calculate the remainder when 86 is divided by j.
9
Suppose -240 = -3*b + 4*y, 4*b - 11*y + 16*y - 351 = 0. Calculate the remainder when 7307 is divided by b.
83
Let b = 41 + 37. Suppose b = z - 21. Suppose 17*h = 16*h - 4*u + 37, -5*h + 4*u = -113. Calculate the remainder when z is divided by h.
24
Let k(v) = -461*v - 3178. Calculate the remainder when k(-7) is divided by 29.
20
Suppose m - w = -6, 0 = 3*m + 37*w - 35*w + 33. Calculate the remainder when 35 is divided by 2*(7 - (m - -9)).
7
Suppose 0 = 3*p + 1 - 13, -63 = -g + p. Suppose -7*h + 5*h = 3*t - 1073, 3*h + 2*t - 1607 = 0. Calculate the remainder when h is divided by g.
66
Let t(m) = -m**3 + 3*m**2 + 2*m + 5. Suppose 27*i - 24*i = 12. Let y be t(i). What is the remainder when 76 is divided by -20*y/(9/6)?
36
Suppose -2*l - 75 = -i - 248, -l + 89 = -3*i. Calculate the remainder when 316 is divided by l.
58
Let o(n) = -2*n**2 + 67*n - 36. Calculate the remainder when o(24) is divided by 131.
27
Suppose 0*j = -4*j + 5*m + 898, -2*m = -2*j + 448. Let r = j + -197. Calculate the remainder when 249 is divided by r.
24
Suppose -4*t + 3833 = -5*c, 5*t - 441