 the remainder when 41 is divided by i.
5
Let i(u) = 3*u**2 - 11*u. Let a be i(7). Let l = 74 - a. Calculate the remainder when 18 is divided by l.
2
Suppose 3*f + 3*s = 18, -5*f + 22 = s - 0*s. Let j = 18 + f. Calculate the remainder when 65 is divided by j.
21
Let p(v) be the first derivative of -7*v**2/2 - v + 1. Let x = 83 + -68. Calculate the remainder when x is divided by p(-1).
3
Suppose 3*l + 44 = -4. Let z(o) = o**3 - 3*o. Let b be z(-2). Let y = b - l. What is the remainder when 53 is divided by y?
11
Suppose -2*d - 185 = -j - 160, 5*j - 5*d = 115. Let p(u) = 7*u**2 + 2*u + 3. What is the remainder when p(-3) is divided by j?
18
Suppose 4 = -16*i + 12*i. Let t = -6 - i. Let o(l) = l**3 + 7*l**2 + 3*l + 2. What is the remainder when o(t) is divided by 10?
7
Suppose -12*g + 373 = -515. What is the remainder when g is divided by 16?
10
Suppose 3*i + b - 6 = 0, -2*b + 3*b = -3. Suppose i = 2*w - 3, -4*w - 108 = -4*f. Let l = f + -19. Calculate the remainder when 43 is divided by l.
10
Suppose -178 = -4*m + 98. Let g be (-639)/(-6)*2/(-3). Let j = 95 + g. Calculate the remainder when m is divided by j.
21
Let p = 202 + -157. Calculate the remainder when p is divided by 23.
22
Let n(z) = -z**3 + 30*z**2 + 218*z - 16. What is the remainder when 259 is divided by n(36)?
35
Suppose 5*p - 119 = -w, 3*p + w = 72 - 1. Suppose -10 = -m + 55. What is the remainder when m is divided by p?
17
Suppose 35*c - 39*c = -12. Let o = 5 - -8. Calculate the remainder when o is divided by c.
1
Let g = 1693 - 1678. Let h = 154 - 81. What is the remainder when h is divided by g?
13
Suppose 0 = 2*n - 3*n. Suppose 80 = 4*y - n*y. What is the remainder when y is divided by 12?
8
Suppose -65 - 85 = -6*k. What is the remainder when 93 is divided by k?
18
Let g(n) = -5*n**3 + n**2 - 2*n + 1. Let z be g(-2). Let d(a) = -14*a + 5. What is the remainder when d(-3) is divided by (3/14 - (-14)/z)*50?
22
Let k(d) = -d**3 - 10*d**2 - 2*d + 24. Let q be k(-10). Suppose z - 5*g = 48, 2*z - 2*g = -5*g + q. What is the remainder when z is divided by 8?
4
Let m be 9 - (((-4)/1)/(-4) - -2). Suppose 5*i = m*i - 17. What is the remainder when ((-49)/3)/(2/(-6)) is divided by i?
15
What is the remainder when 133 is divided by (-4 - -11) + -6 - -39?
13
What is the remainder when 229 is divided by 42 + 6 + -14 - (-6 + 1)?
34
Suppose -p + 2*a + 0*a + 104 = 0, 4*p = 2*a + 422. Suppose 3*n - 484 + p = 0. What is the remainder when n is divided by 32?
30
Let j(s) = -s**2 + 36*s - 306. What is the remainder when 44 is divided by j(15)?
8
Let z(c) = c**2 - 4*c - 5. Calculate the remainder when 240/18*(-117)/(-65) is divided by z(6).
3
Suppose 2*v = 7*v - 145. Suppose 9*l = 6*l + 81. Suppose -4*i - 3*x - 1 = -16, -5*i + l = x. What is the remainder when v is divided by i?
5
Suppose 3*x - 4 = s - 27, 0 = 4*s + 4*x - 44. What is the remainder when 109 is divided by s?
11
Suppose -11*k + 4*n = -6*k - 66, n = 5*k - 69. Calculate the remainder when 852 is divided by k.
12
What is the remainder when 543 is divided by 172/(-215) + (-89)/(-5)?
16
Let s(l) = -l**2 - 10*l - 13. Let n be 5*-1 + (-5 - -4). Calculate the remainder when 75 is divided by s(n).
9
Suppose 0 = 3*v - 6*v + 9. Let z(l) = -4*l**2 + 3*l - 1. Let p(q) = -q**2 + 1. Let y(o) = v*p(o) - z(o). What is the remainder when 63 is divided by y(-3)?
19
Let c = -62 - -66. Suppose 3*t + 0 + 12 = s, -s = c*t + 2. Calculate the remainder when 11 is divided by s.
5
Suppose -4*j = 4*a - a - 229, -5*j + a + 310 = 0. Calculate the remainder when j is divided by (-3 + 1)/(2/(-13)).
9
Let k be (2/4)/(15/120). Suppose k*j = 76 + 4. Calculate the remainder when 77 is divided by j.
17
Suppose 4*u = -2*s + 194, 3*u + 3*s = u + 87. Calculate the remainder when 76 is divided by u.
25
Let n(g) = -381 + 385 - g**3 + 7*g**2 - 3*g**2 + 2*g**2. Calculate the remainder when 26 is divided by n(6).
2
Let m = -9 - -12. Suppose -m*o - 52 = -5*o. What is the remainder when 49 is divided by o?
23
Suppose -j + 22 = 2*u, -4*u = -2*j - 2 + 22. Let h(r) be the first derivative of r**3/3 + 9*r**2/2 + 9*r - 1. What is the remainder when j is divided by h(-9)?
7
Suppose -p + 107 = 4*d, -2*d - 3*p + 12 = -49. Suppose 110 + d = 2*a. What is the remainder when a is divided by 23?
22
Let l = 1040 - 525. Calculate the remainder when l is divided by 74.
71
Suppose -4*n + 0*n = -232. Suppose 13*u - 9*u - 40 = -4*l, -2*u + 65 = 5*l. Calculate the remainder when n is divided by l.
13
Suppose -5*w + 545 + 635 = 0. Calculate the remainder when w is divided by 14.
12
Let h = 38 + -16. Suppose 4*u = 60 + 4. Suppose u*a - 189 = 13*a. Calculate the remainder when a is divided by h.
19
Suppose 4*r = 60 + 1152. What is the remainder when r is divided by 19?
18
Let m(j) = j**3 + 10*j**2 - 11*j - 5. Calculate the remainder when m(-10) is divided by 53.
52
Let s(t) = t + 25. Calculate the remainder when 63 is divided by s(-20).
3
Calculate the remainder when (-5370)/(-11) - 17/(-374)*-4 is divided by 161.
5
Let k = 8 - 20. Let d be k/(-28) - (-24687)/21. Calculate the remainder when 1/(-5) + d/30 is divided by 20.
19
Suppose -364 = -7*w + 595. Calculate the remainder when w is divided by 18.
11
Suppose -m = h + 2*m - 11, h + 1 = m. Suppose 0 = -h*i - 4*j + 16, 1 = -i - 5*j - 0. What is the remainder when 68 is divided by i?
12
Let q(v) = 15*v - 5. Let c(p) = -7*p + 2. Let d(l) = -13*c(l) - 6*q(l). Let g be d(-6). What is the remainder when (-17)/(g - (-12)/8) is divided by 12?
10
What is the remainder when 3/(-15) + 8792/35 is divided by 21?
20
Suppose -130 + 640 = 5*o. Suppose g - 5*c = 43 + 8, -3*c + 63 = 3*g. Calculate the remainder when o is divided by g.
24
Suppose -5*f = 53 - 163. Suppose 0 = -0*v - 2*v + f. Suppose -411*i + 378 = 476 - 2153. Calculate the remainder when v is divided by i.
1
Suppose -8*w + 3*w + 75 = 0. Let p(m) = 21*m + 4. Let a be p(4). Suppose 2*i - 2*t = 18 + a, -3*i + 5*t + 151 = 0. What is the remainder when i is divided by w?
12
Suppose -4452 - 6204 = -8*g. What is the remainder when g is divided by 89?
86
Suppose 5*w - 3*z + 45 = -122, -w + 2*z = 32. Let h = 43 + w. Suppose 102 = k + 2*k. What is the remainder when k is divided by h?
7
Let s = -548 + 924. What is the remainder when s is divided by 13?
12
Let b(c) = 61*c - 155. What is the remainder when b(4) is divided by 23?
20
Let r(g) = -g**3 + 34*g**2 + 445*g - 211. Let t(x) = 13*x**2 - 2*x + 3. What is the remainder when t(2) is divided by r(44)?
6
Suppose -3*l + 0*l + 15 = 0, 4*q = 5*l + 43. Let s = 4267 + -4257. Calculate the remainder when q is divided by s.
7
Let q(w) = w**3 - 45*w**2 + 80. What is the remainder when q(45) is divided by 38?
4
Suppose 2*d - 42 = 40. Calculate the remainder when 96 is divided by d.
14
Suppose -37*m + 779 = -405. What is the remainder when m is divided by 32?
0
What is the remainder when 204 is divided by (6 - (-63)/(-14))*228/9?
14
Calculate the remainder when 75 is divided by (-4)/(-24) + 5/6 - -29.
15
Suppose 4*u + 5 = 5*u. Let l(h) = 2*h**2 - 7*h + 3. Let o be l(u). Let j = -6 + o. What is the remainder when 35 is divided by j?
11
Let h = 2261 - 2225. Calculate the remainder when 228 is divided by h.
12
Suppose 5*z = -777 + 852. What is the remainder when z is divided by 10?
5
Let q be (-2)/(-4) + (-49)/(-2). Let d = q - 18. Let z = -53103 + 53108. What is the remainder when d is divided by z?
2
Let s = -121 + 258. Let c = s - 81. Calculate the remainder when 278 is divided by c.
54
Suppose -5*k = -0*k + 20. Suppose -3*f - 2*f = -125. What is the remainder when k/((-288)/(-148) - 2) is divided by f?
24
Let b(a) = 27*a**3 + a**2 - a + 1. Let h(g) = g + 8. Let i be h(-7). Calculate the remainder when b(i) is divided by 15.
13
Suppose -4*m + 29 = -2*v - m, v + 28 = -3*m. Let i = -14 - v. Suppose -p - 2*u = -22, i*u = -4*p + 2*u + 113. What is the remainder when p is divided by 11?
10
Let y(o) = 5*o**2 - 9*o - 1 + 4*o**2 + 4 + o**3 - 4*o**2. Calculate the remainder when y(-5) is divided by 13.
9
Suppose -37*l + 19*l = -288. Calculate the remainder when l is divided by 7.
2
Suppose 6*z + 794 = 8*z - 4*t, 0 = -3*z + 2*t + 1179. Calculate the remainder when z is divided by 49.
48
Let b(o) = -392*o - 197. What is the remainder when b(-5) is divided by 49?
48
Suppose 3*s = -