 7*n - v = 2*n. Calculate the remainder when n is divided by 9.
6
Suppose -97 = -5*q + 3*j - 17, -20 = -4*j. Suppose 17*b - 12*b = 585. Let v = b + -42. Calculate the remainder when v is divided by q.
18
Let d(i) = -i**3 - 6*i**2 + 26*i + 5. Calculate the remainder when 418 is divided by d(-9).
12
Let b = -4 + 14. Suppose 2*f - 5*q - 3 = 0, -4*f + 9*f = -5*q + 25. Suppose 9 = -r + f*r. What is the remainder when b is divided by r?
1
Let l(f) = f**3 + 13*f**2 - 19*f - 6. Let r be (-6)/(-4)*-2*14/3. What is the remainder when l(r) is divided by 11?
9
Let p(o) = o**3 + o**2 - o + 2. Let g be p(-2). Suppose g*x = -3*x. Suppose 0 = -x*d - 2*d + 22. What is the remainder when d is divided by 6?
5
Let y(u) = u + 1. Let z(d) = 1. Let r(q) = -5*y(q) + 15*z(q). What is the remainder when r(-5) is divided by 14?
7
Suppose 0 = -4*l + 1120 + 1388. What is the remainder when l is divided by 70?
67
Suppose -4*q - 5*j + 80 + 47 = 0, 5*j + 125 = 5*q. What is the remainder when 251 is divided by q?
27
Let f(m) = 66*m - 4. Let b be f(-2). Let v be (b/(-28))/((-5)/(-35)). Suppose -v = -4*z + 3*z. What is the remainder when 67 is divided by z?
33
What is the remainder when (24 + -21)*764/6 is divided by 11?
8
Let i = 19 + -4. Suppose 5*g + 112 = 282. Suppose 0 = 4*x - 4, -25 = -f - x + g. What is the remainder when f is divided by i?
13
Let q = 125 - 54. What is the remainder when q is divided by (259/(-14))/((-2)/4)?
34
Suppose -l + 116 = 3*l. Suppose 15 = 2*r - l. What is the remainder when r is divided by 6?
4
Let l be 8 - (3 - -1) - 4. Suppose -3*k + l*k = -90. Suppose 2*v - 2 = k. What is the remainder when 47 is divided by v?
15
Let k be (-1779)/(-21) + 2/7. Suppose 0 = -5*c - 30 + k. Let l(z) = 4*z. Calculate the remainder when l(5) is divided by c.
9
What is the remainder when 194 is divided by ((-893)/(-38) - 19)/(6/88)?
62
Let k(b) = -5*b. Let j be k(-1). Let p(h) = 3*h + 5. Let l(t) = t**2 - 3*t + 5. What is the remainder when l(9) is divided by p(j)?
19
Let i = 18 - 11. Suppose -3*f - 744 = -i*f. Suppose -5*r + f = -49. What is the remainder when r is divided by 25?
22
Let i = 75 - 93. Calculate the remainder when (i/24 + (-357)/(-12))/1 is divided by 4.
1
Let j(w) = -8*w - 70. What is the remainder when 65 is divided by j(-13)?
31
Suppose -1 = -2*r + 165. What is the remainder when r is divided by 42?
41
Let y(k) = 20*k**2 + 13*k - 14. What is the remainder when y(1) is divided by 11?
8
Let o = 378 - 363. What is the remainder when 108 is divided by o?
3
Let o = -2 - 0. Let l(s) = -s**3 - 7*s**2 - 13*s - 4. Let n be l(-4). Calculate the remainder when 15 is divided by 4/(n + o/(-4)).
7
Suppose 2 + 64 = 3*r. Suppose -39 = 27*f - 28*f. What is the remainder when f is divided by r?
17
Let z(h) = 3*h. Let b = 14 - 12. Suppose -g - 3*a + b*a = 0, 9 = 5*g + 2*a. Calculate the remainder when z(1) is divided by g.
0
What is the remainder when 16/20*595/34 is divided by 210/18 - (-1)/3?
2
Suppose 3349 = 63*n - 46*n. What is the remainder when n is divided by 10?
7
Suppose 0*h = -2*h + 86. Let x = h + 63. Suppose 4*t - 36 = 72. What is the remainder when x is divided by t?
25
Let s be -2 - ((-4 - -2) + -2). Suppose -s*l - 2*l = -68. What is the remainder when 47 is divided by l?
13
Let o = 79 - 53. Let w = -14665 - -14682. What is the remainder when o is divided by w?
9
Let p(t) = 0 - 18 + 4*t + 4. Calculate the remainder when 88 is divided by p(11).
28
Let b(u) = u**3 + 10*u**2 - u - 35. Calculate the remainder when 763 is divided by b(-9).
48
Suppose 65*s - 9*s - 12376 = 0. Calculate the remainder when s is divided by 14.
11
Suppose 4*a - 110 = -102. Suppose -3*x - 162 = -4*w, -5*x + 94 = a*w - 0*x. What is the remainder when 79 is divided by w?
37
Let p be 3*(1 - 0) + -6. Let v(q) = q**2 - 2*q. Let c be v(p). Suppose -3*u + 5 = 5*r - c, 4*u - 75 = 3*r. What is the remainder when 28 is divided by u?
13
Calculate the remainder when 1/10 + -6 + (-5754)/(-60) is divided by 23.
21
Suppose 3*t + 163 = 5*z + 25, 3*t - 12 = 0. Suppose 7*i - 64 = 3*i. Calculate the remainder when z is divided by i.
14
Suppose -3*m + 60 = 7*x - 2*x, 2*x + 3*m - 33 = 0. What is the remainder when 46 is divided by x?
1
What is the remainder when (-2480)/50*-5 + 12 is divided by 131?
129
Suppose -4*s = 37*j - 32*j - 5675, -3*j + 3388 = -s. What is the remainder when j is divided by 14?
11
Suppose g = -3*x + 3*g + 256, -2*g = 3*x - 260. Suppose -3*z - 20 = -x. Calculate the remainder when 60 is divided by z.
16
Suppose 0 = r + 4*b - 480, -5*r - 273*b = -269*b - 2384. What is the remainder when r is divided by 42?
14
Suppose k = u - 117 + 34, -2*u = 4*k - 166. What is the remainder when u is divided by 22?
17
Suppose -13 = -4*d - 1. Suppose 3*w - 256 = -5*o, 5*o = d*w + 2*o - 240. What is the remainder when w is divided by 12?
10
Suppose 12 - 6 = 2*g. Let a = -6 + 10. What is the remainder when a is divided by g?
1
Suppose 0*q + 3*q - 116 = -5*a, -4*q - 12 = 0. Suppose 4*g = -g + 4*k + 350, 3*k = 15. Calculate the remainder when g is divided by a.
24
Let b(r) = -11*r**3 + 2*r**2 - 1. Let j be b(-1). Suppose -2 = 5*h - j. Calculate the remainder when (4/(-8) + -3)/(2/(-4)) is divided by h.
1
Let q = -279 + 306. What is the remainder when 511 is divided by q?
25
Let u(l) = l - 4 + 0*l + 1 + 1. Let f be u(5). Suppose 171 = 3*v - 5*d, 0 = v + f*d - 5*d - 57. Calculate the remainder when v is divided by 12.
9
Suppose -2*r + 5*r - 2*s = -1734, -s = 3. What is the remainder when 39 is divided by 2/6 + r/(-87)?
4
Suppose -65 = y + 4. What is the remainder when 89 is divided by y/21 - -3 - 535/(-35)?
14
Calculate the remainder when 53 is divided by (-652)/(-24) + 20/24.
25
Suppose 0 = -a - 2, 3*i - 11*a + 10*a - 377 = 0. Calculate the remainder when i is divided by 42.
41
Let s = 282 - 278. What is the remainder when 17 is divided by s?
1
Suppose -5*y = 24*c - 26*c + 75, 4*y - 80 = -4*c. What is the remainder when 146 is divided by c?
21
Suppose -13 = -m + x, -3*x - 11 = -m - 4*x. Let b = m - 7. Suppose b*h = -h + 42. What is the remainder when 13 is divided by h?
6
Suppose 5*a = -4*v + 72, -30 = 4*a + 4*v - 90. Calculate the remainder when 99 is divided by a.
3
Let p = 212 - 91. Let o = p - 105. Let k(l) = -l**3 + 8*l**2 - 7*l + 1. What is the remainder when k(6) is divided by o?
15
Let y(o) = -o**2 + 21*o - 7. Suppose -2*j = -3*j - 2*i + 61, j = 4*i + 43. Let b = -34 + j. Calculate the remainder when y(4) is divided by b.
19
Let w be 3 + (-186)/18*-3. Calculate the remainder when 17 is divided by w/8 - ((-14)/2)/(-28).
1
Suppose 3*k - 3*y - 9 = 0, k + 1 = 2*y + 5. Let v = k + 6. Let g = -34 + 70. Calculate the remainder when g is divided by v.
4
Let i(x) = 0*x + 4 + 2 - 5*x + 2*x. What is the remainder when 69 is divided by i(-4)?
15
Let z(a) = a**3 + 2*a**2 - 4*a - 1. Let m be z(-2). Let f = 22 + m. Calculate the remainder when 143 is divided by f.
27
What is the remainder when ((133/21)/(-19))/((-2)/906) is divided by 22?
19
Let w = -3 + -7. Let y(m) = -m**3 - 10*m**2 - 3*m - 7. Let v be y(w). Let a = v + -9. Calculate the remainder when a is divided by 4.
2
Let z(a) = a. Let i be z(3). Suppose 0 = -i*t + 9, 0 = -w - t + 5*t + 3. What is the remainder when 119 is divided by w?
14
Let z(x) be the first derivative of -x**4/2 - 2*x**3/3 + 2*x**2 - x - 9. What is the remainder when ((-85)/3)/5*-12 is divided by z(-3)?
22
Let q(w) = -3*w**2 - 26*w - 23. Calculate the remainder when 210 is divided by q(-5).
18
What is the remainder when (-632)/10*(-71 + 66) is divided by 75?
16
Let m be 214/(-7) - (-18)/(-42). Let g = m + 22. Let b = 22 + g. What is the remainder when b is divided by 7?
6
Suppose 0*x - 4*x + 12 = 0. Suppose 2*a = x*a + 7. What is the remainder when 10 is divided by (12/a)/((-4)/14)?
4
Let c(j) = j**2 + 3*j - 45. Calculate the remainder when c(-14) is divided by 24.
13
Let f(k) = -k**2 - 9*k. Let u be f(-7). Suppose 0 = -4*o + 3*o + u. Suppose o = -2*n + 44. What is the remainder when n is divided by 4?
3
Let h(u) = -u**2 + 10*u - 1. Let y(q) = -q**2 + 20*q + 17. What is the remainder when y(17) is divided by h(5)?
20
Let x be (-80)/(-12)*12/(-10). Let l = 13 - x. Calculate the remainder when 39 is divided by l.
18
Let m(c) = 2*c - 19. Let f be m(-12). Let t = 48 + f. What is the