inder when z is divided by w.
16
Let t = 6 - 25. Let m = t - -55. Suppose -32*i = -m*i + 64. What is the remainder when 46 is divided by i?
14
Let b = -68 + 72. Calculate the remainder when 217 is divided by b.
1
Suppose 2*q + 7*t = 3*t + 242, 5*t - 109 = -q. Suppose -q = -21*r + 18*r. What is the remainder when r is divided by 15?
13
Let l(q) = -5*q**2 - 86*q + 6. Suppose -3*x + 9 = 3*n, 5*n = 4*x - 6 - 6. Calculate the remainder when l(-17) is divided by (8 + -5)/(x/7).
2
Calculate the remainder when (-1*3*(-12)/(-126))/((-15)/((-30660)/(-8))) is divided by (-6)/(-4)*(-44)/(-6).
7
Let a(n) = -n**2 + 13*n - 3. Let u be a(12). Suppose u*x - 176 = -2*x. Suppose 7*v - 10*v + 177 = 0. Calculate the remainder when v is divided by x.
11
Suppose q = 126*r - 130*r - 5, -3*r - 45 = -3*q. Calculate the remainder when 205 is divided by q.
7
Suppose 0*k = -4*k + 112. Let a(r) = 6*r - 116. Calculate the remainder when a(k) is divided by 11.
8
What is the remainder when 251 is divided by -28*-15*48/252?
11
Suppose -3*i - 8*i = -1892. Suppose 3*j = y - 38, -5*y + 80 = 5*j - 50. What is the remainder when i is divided by y?
27
Suppose 92*m - 12470 - 4274 = 0. Suppose 0 = 3*s - 8*s + 80. Suppose 3*j + m = s*j. What is the remainder when 39 is divided by j?
11
Suppose 274 + 635 = o. Let u = -570 + o. Calculate the remainder when u is divided by 19.
16
Suppose 14*t + 6725 - 3964 = 3363. Calculate the remainder when t is divided by 18.
7
Let q(y) = -2*y - 90. Let k be q(-35). Let c(u) = u**3 + 25*u**2 + 95*u - 35. What is the remainder when c(k) is divided by 11?
10
Let z(l) = 3*l**2 - 19*l - 449. Calculate the remainder when 1029 is divided by z(-15).
7
Let l(k) = k**3 - k**2 - 7*k + 329. Calculate the remainder when l(0) is divided by 114.
101
Let s(c) be the first derivative of -7*c**2/2 - 88*c - 8. Calculate the remainder when s(-18) is divided by 11.
5
Let p(q) = q**3 - q**2 - 19*q. Calculate the remainder when 132 is divided by p(5).
2
Suppose 5*y = -3*b - 3242, 19*y - 3*b = 20*y + 658. Let w = -624 - y. What is the remainder when w is divided by 6?
4
Calculate the remainder when (-247275)/(-56) + (-81)/(-144)*(-8)/(-12) is divided by 9.
6
Suppose 2*h - 45 = -p, 123*h - 120*h = -2*p + 69. Calculate the remainder when 1511 is divided by h.
20
Suppose -92 = -11*p - 35*p. Let z be 2 - 1 - (0 - 3). Suppose -z*o + 8*o = -p*i + 68, -i = 4. Calculate the remainder when 48 is divided by o.
10
Let g = -296 - -302. Suppose t = 5*c + 193, 0 = -2*c - g + 16. What is the remainder when t is divided by 45?
38
Let x be (-3 - 65/(-7)) + (-4)/14. Let a be 1 - ((-192)/9 - (-2)/x). Let i(w) = w**3 - 23*w**2 + 22*w + 4. Calculate the remainder when 12 is divided by i(a).
0
Suppose -54*j = 2*d - 55*j - 85, 0 = 3*d + 2*j - 152. Let x = -249 - -386. Calculate the remainder when x is divided by d.
45
Let u be (2 - 0) + -2 - -239. Let i(m) = -m**3 + 6*m**2 - 2*m - 11. Let r be i(4). Suppose 0 = r*v - 138 - u. What is the remainder when v is divided by 8?
5
Suppose 7 = o - 199. What is the remainder when o is divided by 40 + -14 + 2 - (14 - 2)?
14
Suppose 20*s + 2*d + 13 = 25*s, 5*s = -2*d + 17. Suppose 2*u + 349 = s*p - 183, -p + 186 = -5*u. Calculate the remainder when p is divided by 10.
6
Let v = 454 - 439. Let l(b) be the second derivative of -b**5/20 - 2*b**4/3 + 5*b**3/2 + 9*b**2/2 + 7*b. Calculate the remainder when l(-10) is divided by v.
14
Let j = 190 - 48. Let t = j + -126. Calculate the remainder when 156 is divided by t.
12
Let b = -18 + 20. Let u(l) = 4*l - 3. Let h(c) = 3*c**3 + 4*c**2 - 4*c - 1. What is the remainder when u(b) is divided by h(1)?
1
Suppose -3*r - 36 = -k - 90, 2*k = -r + 18. Calculate the remainder when r is divided by 7.
4
Suppose 6*k - 2*b - 794 = 0, 214 + 421 = 5*k + 5*b. What is the remainder when 367 is divided by k?
105
Let q(h) = -109 + 334 - 7*h**2 - 156 + 2*h**3. Calculate the remainder when q(6) is divided by 21.
18
Let h(m) = -18*m - 29. Let r(w) = 7*w + 15. Let d(z) = 4*h(z) + 10*r(z). Suppose 3*y - 117 - 120 = 0. What is the remainder when y is divided by d(3)?
23
Suppose 4*y + 73 = -14*o + 15*o, -3*o + 279 = 3*y. What is the remainder when o is divided by 70?
19
Suppose v - 220 = 5*n, 0 = -6*n + n - 20. Suppose -220*b - 610*b + 24070 = 0. Calculate the remainder when v is divided by b.
26
Let f(n) = 3*n**2 - 24*n + 21. Let o be f(6). Calculate the remainder when 38 is divided by ((-126)/o)/(192/30 + -6).
17
Let s = -349 - -351. Suppose s*y + 17 = o + 6*y, 0 = -3*y + 6. What is the remainder when 9 is divided by o?
0
Suppose 0 = -4*s + 4*f + 3573 + 975, s = -2*f + 1161. Calculate the remainder when s is divided by 128.
121
Suppose -5*f + 44 + 91 = 0. Suppose 0 = -23*c + f*c - 200. Calculate the remainder when 447 is divided by c.
47
Let z(b) = b**2 - 3*b - 14. Let g be z(6). Suppose g + 10 = x. Calculate the remainder when x is divided by 3.
2
Calculate the remainder when (-15)/55 + (-10149)/(-187) is divided by 33.
21
Suppose -4615 = -z + p, 85*p - 13909 = -3*z + 80*p. What is the remainder when z is divided by 14?
3
Let f(t) be the second derivative of t**4 + 1/20*t**5 + 0 + 11*t - 4*t**2 - 1/6*t**3. What is the remainder when 41 is divided by f(-12)?
1
Let n(l) = -l**3 + 6*l**2 - 5. Let m be n(5). Suppose -c + 2 = -11. What is the remainder when -15*3*m/(-18) is divided by c?
11
Suppose -19*o = -29*o + 2520. Let q = -127 + o. Calculate the remainder when q is divided by 22.
15
Let z(y) = 2*y**2 + 20*y + 64. Calculate the remainder when 7557 is divided by z(-5).
11
Suppose -5*z + 14*t = 9*t - 195, 129 = 4*z + 5*t. Calculate the remainder when 4242/z - 2/(-12) - 4 is divided by (-3 + 4)*0 - -29.
27
Let v(l) = -357*l + 5 + 361*l - l**2 + 2*l**2. Calculate the remainder when 27 is divided by v(-5).
7
Let t be 106/795 - (-116)/30. Suppose 5*f = t*l - 60, -8*f + 3*f = -20. What is the remainder when 135 is divided by l?
15
Suppose 0 = 5*v - 3*h - 17, -6*v + 2*v + 15 = -h. Calculate the remainder when 67 is divided by ((-2)/v)/((-22)/836).
10
Let r(f) = f**2 + 5*f + 12. Suppose 3*z - 89 = 5*c, 40 = 5*z + 5*c - 55. Suppose -6*a + 19 + z = 0. What is the remainder when r(-6) is divided by a?
4
Suppose 5*k + 29*k = 170. Suppose -3*i + 57 = 4*m, k*i = 2*m - m + 72. Calculate the remainder when 38 is divided by i.
8
Let l be -25*5/(175/14). What is the remainder when (l + 4)/(-2 - (-2 - -2)) is divided by 1?
0
Suppose 3*h + 714 = l, 33*l - 34*l = -5*h - 710. Calculate the remainder when l is divided by 24.
0
Suppose 2*x + 16 = 4*k, 0*k - k + 2*x = -7. Suppose 189 = 4*s + k*s. Let p = s - 7. Calculate the remainder when p is divided by 11.
9
Suppose 272 = 3*y - 523. What is the remainder when y is divided by 41?
19
Suppose -4*y = -h - 237, y = 3*h + 85 - 23. What is the remainder when 375 is divided by y?
21
Let y = 999 - 969. Suppose 1064 = 4*z + 4*o, o + 1067 = 3*z + 281. What is the remainder when z is divided by y?
23
Let a = 24993 + -23801. Calculate the remainder when a is divided by 443.
306
Suppose c + 71 = -4*d, c + 126 - 51 = -3*d. Let o = c + 95. Calculate the remainder when 18 is divided by o.
2
Suppose d + 64 = 2*d. What is the remainder when d is divided by 6 + (2 - 2) + 209 + -185?
4
Suppose 20*u = 15*u - k + 14027, -2*u + 3*k = -5621. Calculate the remainder when u is divided by 13.
11
Suppose 5*y - 9*y = -92. Let n(q) = -q**3 - 2*q**2 - 5. Let b be n(-3). Calculate the remainder when (b + 1 + 40)*1 is divided by y.
22
Suppose 44*y + 5*y - 1771 = 1267. Calculate the remainder when 71 is divided by y.
9
Let t(p) = 472*p**2 - 10*p + 21. What is the remainder when t(2) is divided by 70?
69
Suppose 0 = -5*j - 7*g + 257, j - 84 = -g - 31. What is the remainder when 4330 is divided by j?
55
Let i(t) = -1476*t - 2 - 2 + 1479*t. What is the remainder when i(30) is divided by 8?
6
Let q(i) = 10*i - 357. Calculate the remainder when 725 is divided by q(39).
32
Let f(k) = -k**2 + 218*k + 6383. Suppose -2*u - 2*p - 2*p + 22 = 0, -3*u + 5*p = -22. What is the remainder when f(-26) is divided by u?
3
Calculate the remainder when (-2)/2 - 13083/(-49)*1*3 is divided by 795.
5
Let a(d) = -d**3 - 21*d**2 - 85*d + 25. What is the remainder when 229 is divided by a(-16)?
19
Suppose 10*f = -41 - 19. Calculate the remainder when (-97)/3*5/10*f is