-36210 + 36848. What is the remainder when 646 is divided by m?
8
Let t(q) = -2*q**3 + 16*q**2 - 10*q + 18. Suppose -22*j + 20*j + 180 = 0. Calculate the remainder when j is divided by t(7).
44
Let m(x) = 2*x - 10. Let u be m(8). Let v be (-36)/(-27)*u/(-4). Calculate the remainder when v/(-3) - 223/(-3) is divided by 38.
37
Suppose 0 = 7*i - 2*i - 235. Let l(t) = 7*t**3 + 60*t**2 + 14*t + 20. Calculate the remainder when l(-8) is divided by i.
23
What is the remainder when 1391 is divided by (-4)/((-32)/1044) + (-80)/32?
111
Suppose 0 = -4*z + f + 3147, 5*z - 3955 = -82*f + 79*f. Calculate the remainder when z is divided by 268.
252
Suppose -3*n = 4*t - 75 + 7, -3*n + 58 = 2*t. What is the remainder when ((-104)/32 - 9)/((-2)/n) is divided by 40?
18
Let q be 49/7 - (-240)/6. Suppose 0 = 3*c - q - 1. What is the remainder when c is divided by 6?
4
Let i(r) = 36*r**2 - r + 1. Let y be (-35)/14*(-4)/5. Suppose -3*f + 48 = -p, 2*f + y*p + 81 = 7*f. What is the remainder when i(-2) is divided by f?
12
Let h(c) = -c**2 - 7*c + 77. Let t be h(-19). Let q = t + 210. Calculate the remainder when q is divided by 23.
13
Let p = 96 + -17. Calculate the remainder when p is divided by ((-4)/(-10) + (-150)/1625)*1144/16.
13
Suppose 5*s + u - 665 = 0, -4*s - 97 + 629 = 4*u. Calculate the remainder when 5584 is divided by s.
131
Suppose -605 = -9*z - 308. Calculate the remainder when 48 is divided by z.
15
Suppose -2*h = -5*a + 368, h - 128 = -2*a - 3*h. Suppose -4*t + 139 = -5*w, 5*w - 137 = 563*t - 565*t. Calculate the remainder when a is divided by t.
26
Let x(n) = -n**3 - 8*n**2 - 16*n + 3. Let h be x(-4). Suppose h*l - 684 - 63 = 0. Calculate the remainder when l is divided by 28.
25
Let x(p) = 32*p**2 - p + 3. Let k(v) = -3*v - 48. Let t be k(-15). Calculate the remainder when x(t) is divided by (-1 + 4/3)/(5/495).
30
What is the remainder when (-1 - 1) + (-2 - -50) is divided by (30 + (-4)/(-2) - -8)/2?
6
Suppose 5*q = -x - 2, -29 = -5*x - 4*q + 3. Calculate the remainder when 103 is divided by x.
7
Let p(l) = l**2 + 2*l + 2. Let b = -554 - -558. Suppose 26*s - 25*s = -5, -r - 10 = b*s. What is the remainder when p(4) is divided by r?
6
Suppose 16 = -4*h + 4. Let d(y) be the third derivative of y**5/30 + y**4/12 - 2*y**3/3 + 2*y**2 - 13. What is the remainder when 27 is divided by d(h)?
3
Suppose 462 - 10647 = -35*g. Suppose g = 5*z + 3*s, -11*z = -7*z + 5*s - 225. Calculate the remainder when 239 is divided by z.
59
Let m be (7*(-6)/(-42))/((-3)/(-1059)). Calculate the remainder when (-3 + (3 - 4)*m)/(-2) is divided by 20.
18
Suppose 402*h - 518*h + 129920 = 0. Calculate the remainder when h is divided by 200.
120
Let k = 125 + -69. Suppose -18*z + 16 + 74 = 0. Calculate the remainder when k is divided by z.
1
Let i(v) = -31*v**2 - 56*v**2 + 86*v**2 - 6 - 6*v. Calculate the remainder when 29 is divided by i(-3).
2
Let b = -37 + 42. Let g(s) = 11*s**2 + 2*s - 1. Let c be g(1). Suppose c = b*m - m. What is the remainder when 11 is divided by m?
2
Let u = 476 - 714. Let t be 7 + -6 - u/2. Suppose t = 8*x - 2*x. What is the remainder when 75 is divided by x?
15
Let y(w) = -138*w - 64. Let g be y(-3). Suppose 504 = 357*x - g*x. What is the remainder when 429 is divided by x?
69
Let n(u) = -3*u**2 - 12*u - 12. Let j be 8/(-3)*9*(-4)/(-16). Let v be n(j). Let o = v - -75. Calculate the remainder when 160 is divided by o.
25
Suppose -8 + 19 = g + 5*o, 5*o = -5*g + 35. Suppose 5*p - g = 3*w + 10, -3*p = 5*w - 30. What is the remainder when 9 is divided by w?
0
Suppose -25*y + 24080 - 3826 = -23996. What is the remainder when y is divided by 222?
216
Let s = 141 + 207. Suppose -4*h - s = -1052. Suppose h = -9*c + 13*c. What is the remainder when c is divided by 16?
12
What is the remainder when 1005 is divided by 217/(-868)*4*1*-14?
11
Let z = 2082 + -184. Calculate the remainder when z is divided by 468.
26
Suppose b - 288 = 7*b. Let i = b - -50. Suppose 0 = i*u, 0 = o + 3*o - u - 216. What is the remainder when o is divided by 11?
10
Let q(i) = 2*i**3 + 7*i**2 - 2*i - 7. Suppose -4*l - 3 = x, -5*x + 2*l + 33 = -2*x. Suppose 0 = x*u + 20 + 7. What is the remainder when 27 is divided by q(u)?
3
Suppose 9*s - 42 = 3*s. Calculate the remainder when 17 is divided by s - -6*3/(-6).
1
Let t be (-202)/(-2)*(66 - 65). Suppose -13*n - t + 465 = 0. Calculate the remainder when n is divided by 25.
3
What is the remainder when (25/10)/((-2)/(-964)) + 7 is divided by 20?
12
Suppose 0 = 2*b - 2, 4*m - 10*b - 42 = -12*b. Let k be 5/2*(-30)/(-25). Let j = 1 + k. What is the remainder when m is divided by j?
2
Suppose 0 = -2642*j + 2674*j - 5952. Calculate the remainder when 1865 is divided by j.
5
Calculate the remainder when 660 is divided by (-720)/(-576)*52/5.
10
Calculate the remainder when 6/(-3)*(-1460)/20 is divided by 18.
2
Suppose -18*s = -10*s - 488. Suppose -4*z - 14 = -w - z, 3*w - 4*z - 32 = 0. Calculate the remainder when s is divided by w.
5
Let w be 6 + -4 + (-4 - -4). Let z(j) = 6 + j**3 + 0*j + 4*j + 16*j**2 + 9*j + w*j. Calculate the remainder when 34 is divided by z(-15).
4
Let i be (1 + (-15)/21)/(1/7). Suppose 0 = 20*k - 15*k - 15. Suppose 0 = f + k*l - 41, 98 = 4*f - 2*f + i*l. Calculate the remainder when f is divided by 19.
15
Suppose 2*l = q - 0*l - 773, -3*q - 4*l + 2269 = 0. Suppose 0 = 33*u - 557 - q. Calculate the remainder when 239 is divided by u.
39
Let q = -2599 + 408. Let d = q + 2213. Let f(o) = 10*o**2 - 4*o + 4. Calculate the remainder when f(3) is divided by d.
16
Suppose -361*o - 2600 = -561*o. Calculate the remainder when 3221 is divided by o.
10
Suppose 112*b = 123*b - 7601. Suppose 10*i + 231 = b. Calculate the remainder when 222 is divided by i.
38
Let u = 830 + -331. Let h = u - 428. What is the remainder when h is divided by 12?
11
Let k be (2/(-4))/(37/(-740)). Let z(x) = 19*x - 111. Calculate the remainder when z(k) is divided by 40.
39
Let t(p) = 15*p**2 - 28*p + 27. What is the remainder when 131 + (-4 + 5 - -5) is divided by t(1)?
11
Let d(a) = -13 - 4 + 8*a**2 + 3 + 43*a. Calculate the remainder when 141 is divided by d(-6).
13
Suppose 2*q - 94 + 16 = 2*o, -q = 2*o - 54. Suppose -q + 179 = 9*v. What is the remainder when 43 is divided by v?
13
Suppose 3*q + 4*g - 31 = -0*g, 3*q - 5*g = -5. Suppose 2*i - 6*i - 336 = -5*f, q*i + 199 = 3*f. What is the remainder when f is divided by 14?
12
Let x = 2742 + -2646. What is the remainder when x is divided by 94?
2
Let i = 48 - 345. Let s = i - -210. Let j = 97 + s. Calculate the remainder when 68 is divided by j.
8
Suppose -5*k - 5*m = -105, -62*k + 4*m + 52 = -58*k. What is the remainder when k is divided by 2?
1
Suppose -2*j - w + 313 = -278, w = -4*j + 1183. Calculate the remainder when 25086/j - 5/(-4) is divided by 29.
28
Let k(w) = -520*w - 9845. What is the remainder when 335 is divided by k(-19)?
20
Suppose 5*l - 5*r - 462 + 342 = 0, 0 = 5*l - r - 128. What is the remainder when l is divided by 8?
2
Let i(d) = d**3 - 5*d**2 + 2*d + 2. What is the remainder when (-7668)/(-14) - (42 - 3848/91) is divided by i(6)?
48
Suppose 5*i + 5*x + 20 = 0, 5*i + 4*x + 13 + 6 = 0. Let k(w) = -w**3 - w**2 - 7*w - 4. What is the remainder when k(i) is divided by 3?
2
Let d = -326 + 570. Suppose 3*o - 5*z = 126, -z = 5*o + 2*z - d. What is the remainder when o is divided by 13?
8
Suppose 0 = -75*m + 67*m + 96. Let g = 209 - m. What is the remainder when g is divided by 40?
37
Let j = 589 - 298. Calculate the remainder when j is divided by 10*(-1251)/(-90)*(-30 - -31).
13
Let i = 15 - -2. Suppose -i*u + 14*u + 252 = 0. Let c(o) = o**3 + 11*o**2 - 4*o - 22. What is the remainder when u is divided by c(-11)?
18
Suppose -8*s + 5523 = 27*s - 14*s. What is the remainder when s is divided by 17?
8
Suppose 3228 = -23*s + 11*s. Let w = -66 - s. Calculate the remainder when w is divided by 23.
19
Let u(z) = z**2 - 4*z + 5. Let c be u(4). Suppose -96 = -c*i + 4. Suppose r - i = 11. Calculate the remainder when 123 is divided by r.
30
Let r be 1 + (4 - (15 + -3)). Let m(p) = -2*p**3 - 13*p**2 + 3*p - 9. Suppose -2*v = 8, 5*d + 46 = -2*v + 223. What is the remainder when d is divided by m(r)?
18
Let x(g) = 2*g**3 + 100*g**2 - 22*g - 992. Calculate the remainder when 208 is divided by x(-50).
100
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