i**3 - 4*i**2 - 45*i + 199. What is the remainder when 398 is divided by h(9)?
0
Suppose -7*m - 3*m + 2200 = 0. Calculate the remainder when (-2)/4 - ((-525)/10 + -5) is divided by (m/15 - -1) + 4/(-6).
12
Let w be 771/4 - ((-45)/20)/9. Let s = w + -135. What is the remainder when s is divided by 31?
27
Let f(h) = -3*h**2 + 77*h + 76. Calculate the remainder when f(22) is divided by 36.
30
Let w(a) = 27*a - 3. Suppose 5*h + 0*h = 5*t - 95, -77 = -4*t + 3*h. Calculate the remainder when w(5) is divided by t.
12
Suppose 474 = 4*w + 3*a, -5*w + 5*a + 946 - 336 = 0. What is the remainder when 1447 is divided by w?
7
Let h = 54 + -33. Calculate the remainder when 7*18/(-42) + 293 is divided by h.
17
Suppose 3*v = 0, v - 193 + 557 = 2*i. Calculate the remainder when i is divided by 47.
41
Suppose 3*x + 5*c - 3049 = 0, -2*x - 6*c + 2021 = -5*c. Suppose y - 19*y = -x. What is the remainder when 93 is divided by y?
37
Suppose -62*w + 64*w + 20 = 0. Suppose 42 = 4*l - 118. Calculate the remainder when l is divided by 5/w*-6*(-2 - -3).
1
Let p = 85 + -85. Suppose p = -2*a - 5*m + 54, -22 = -a + m + 12. Let g = 107 + -46. Calculate the remainder when g is divided by a.
29
Let p(a) = a**3 - 4*a**2 + 8*a - 13. Let v be p(5). Suppose v*d - 48*d = 16. Calculate the remainder when (-7 - -5) + 6*3 + -1 is divided by d.
3
Let d = 5754 - 5710. Calculate the remainder when 198 is divided by d.
22
Suppose 46*d - 49164 = -7166. Calculate the remainder when d is divided by 17.
12
Let q(i) = -i**2 - 128*i - 590. Let r(k) = 10*k**3 - 2*k**2 - k - 2. Calculate the remainder when r(2) is divided by q(-123).
18
Suppose 66 = 11*c, -5*x - 18*c + 16*c = -1747. What is the remainder when 1116 is divided by x?
75
What is the remainder when -3*4128/(-90) + 0 + (-9)/15 is divided by 38?
23
Let r(s) = -s**3 - 15*s**2 + 80*s + 91. What is the remainder when 538 is divided by r(-19)?
13
Let y = -14280 + 14428. What is the remainder when 148 is divided by y?
0
What is the remainder when 479 is divided by ((-48)/30 + -3)*-5?
19
Suppose -389 = -3*n - 101. Suppose -26*x - 415 = 573. Let f = x + n. What is the remainder when 171 is divided by f?
55
Let y(h) = -2*h**2 - 16*h - 5. Let r be y(-8). Let l(x) = 6*x**2 + 16*x + 5. Suppose -2*t + 54 = 2. What is the remainder when l(r) is divided by t?
23
Let b(p) be the third derivative of 5*p**5/12 - 7*p**4/8 - 22*p**3 - p**2 - 124. Calculate the remainder when b(-5) is divided by 60.
58
Suppose 35*b - 31374 = 14*b - 6*b. What is the remainder when b is divided by 158?
56
Suppose 2*p + 6*p - 184 = 0. Suppose p*a + 316 = 27*a. Suppose 0 = -7*r + a + 173. Calculate the remainder when 70 is divided by r.
34
Suppose 0*n = 4*n - 120. Let m(l) = -7*l**2 - l + 3. Let k be m(-3). Let v = k - -73. What is the remainder when n is divided by v?
14
Suppose 216 = 3*z + 5*g, 89*g - 88*g = -z + 72. Let o be 0 + -2 + 3 - -2. Let h = o + 22. What is the remainder when z is divided by h?
22
Suppose 4*x + 23*s = 18*s + 530, x + s - 133 = 0. What is the remainder when x is divided by 52?
31
Let x = -19734 + 19742. Let o(g) = 3*g**2 - 4*g + 5. Let a be o(5). Suppose -3*l - l + a = 0. What is the remainder when l is divided by x?
7
Suppose 45 = 5*c + 4*c. Suppose c*s + 34 = 2*t + t, 0 = 2*t + 4*s - 8. Calculate the remainder when 38 is divided by 110/t + 27/108.
10
Suppose 0 = 2*q + 3*n - 225, -3*n = 5*q - 6*n - 510. Suppose 67 = 12*h - 281. What is the remainder when q is divided by h?
18
Suppose 0 = -3*n + 2*j + 140, -4*j - 92 = -2*n - 3*j. Let w be ((0 + -12)/2)/(-1). Let o = 15 - w. What is the remainder when n is divided by o?
8
Let k = -6000 + 6019. What is the remainder when 2258 is divided by k?
16
Suppose m - 1 = w, -m - 2*w = -0*m - 1. Let y be (-1 + 0)*(-4 - m). Suppose -b + 24 = y*b. Calculate the remainder when b is divided by 2.
0
Suppose 4*r = 113*s - 111*s + 142, -12*s - 60 = 0. Calculate the remainder when (1 + 106)*(-3)/(-3) is divided by r.
8
Let y(o) = o - 3. Let n be y(6). Suppose 7*t - n*t = 4, 5*t = -4*q + 9. What is the remainder when q*20 + (0/(-1) - -2) is divided by 6?
4
Let g = 2419 - 2375. Calculate the remainder when 1361 is divided by g.
41
Let v = 6 + -16. Let c be v/4*(-12)/(-15) - -5. Suppose -c*t - 2*w = w - 18, 5*t - w - 18 = 0. Calculate the remainder when 19 is divided by t.
3
Suppose -16*m - 10575 + 3027 = -53*m. What is the remainder when m is divided by 21?
15
Suppose -22*r + 19*r - 239 = -2*l, -4*l = 2*r - 422. Suppose -196 = -2*v - 28. Suppose d = 4*d - v. Calculate the remainder when l is divided by d.
25
Suppose 269 = 5*h - 4*a, -4*h + 26 = -2*a - 188. Calculate the remainder when 189 is divided by h.
30
Let i = 65 - 61. Suppose 0 = -2*n + i*g + 76, 4*n - 7*g + 5*g - 176 = 0. Let f = 57 - n. Calculate the remainder when 41 is divided by f.
8
Let m(b) = -4*b + 10. Let f be m(-8). Let l = -1 + 2. Suppose -3*s - l = -5*j, -4*s + 2*j = 4*j - f. Calculate the remainder when s is divided by 2.
0
Let w = -13 + 18. Let f be (9/(-18))/((-2)/(-332)). Let z = f - -95. What is the remainder when z is divided by w?
2
Let y be (-1 - -4) + (-3 - 7). Let j be (-2)/y - (-29048)/56. Suppose -5*i = -4*s + 399, -5*s + i = -j + 36. Calculate the remainder when s is divided by 9.
6
What is the remainder when (-21 - -20)*695*(-6)/5 is divided by 55?
9
Suppose -20356 - 9590 = -46*q. Calculate the remainder when q is divided by 108.
3
Let q(f) = -f - 3. Let j = -48 + 43. Let l be q(j). Let v(x) = x**3 + x**2 - 4*x + 1. Calculate the remainder when 27 is divided by v(l).
2
Let h be 32697/56 - (-6)/48. Let b = h - 114. What is the remainder when b is divided by 43?
40
Suppose 2*z = 4*w + 18, -z + 28 - 14 = -3*w. Let r = 40 - 36. Calculate the remainder when (z + -27)*78/(-104) is divided by r.
1
Let v(c) = -119*c - 451. What is the remainder when 3972 is divided by v(-4)?
22
Let y = -2585 - -4558. What is the remainder when y is divided by 180?
173
Suppose 30 = -12*h + 22*h. Suppose z + h*c - 2 = 28, c = 1. Calculate the remainder when 99 is divided by z.
18
Let p(r) = r**3 + 21*r**2 + 35*r - 54. Let k be p(-19). Suppose -258 = -3*s + k*n, s - 5*n - 78 = -2*n. What is the remainder when s is divided by 47?
43
Suppose 3*x + 35 = 4*x. Suppose 0 = 1669*g - 1282*g - 67338. Calculate the remainder when g is divided by x.
34
Suppose -19*p = 113*p - 194964. What is the remainder when p is divided by 114?
109
Suppose -48 = -3*o + 36. Suppose -2*k + 16 = -4*g, 3*g = 2*k + 7*g - 48. Suppose -11*n = -k*n + 50. Calculate the remainder when o is divided by n.
8
Suppose 4*j = c + 365, -3*c - 586 = -5*j - 121. Calculate the remainder when j is divided by 195/(-117)*(-27)/15*4.
6
Let k = 56 - 42. Suppose -4*f - f = w - 431, -4*w = -2*f + 190. What is the remainder when f is divided by (1*(-6 - k))/((-4)/6)?
27
Let u = -15920 - -16037. What is the remainder when 236 is divided by u?
2
Let m(p) = 29*p - 18. Let b be m(2). Let d = b - 39. What is the remainder when 69 + 0 - (1 - (d + -1)) is divided by 25?
18
Suppose 8 = -3*b + 2. Let n(g) = -3*g**3 + 112*g**2 - 419*g - 306. Calculate the remainder when (0 - b)/(1/58) is divided by n(33).
20
Let y(a) = 5*a**2 - 15. Let l be y(2). Suppose 2*m + 30 = 4*f, 5*f = 8*f + l*m - 42. Calculate the remainder when 24 is divided by f.
6
Suppose -17 + 73 = 2*d. Suppose 29*g + 207 = -393 + 3152. Calculate the remainder when g is divided by d.
4
Suppose 4*r = 2*f + r + 28, 78 = -4*f - 5*r. Calculate the remainder when ((-71)/(-2))/(f/(-34)) is divided by 12.
11
Calculate the remainder when ((-1918)/(-12))/1 - 10/480*-8 is divided by 83.
77
Let x(c) = -c**2 + 4*c + 5. Suppose 2*f - 134 = -2*q, 4*f - 170 = -3*q + 94. What is the remainder when f is divided by x(3)?
7
Let k(v) = 4*v**2 - 1 - 3*v + 2*v + 3*v. Let j(b) = -9*b**2 - 89*b - 177. What is the remainder when j(-6) is divided by k(1)?
3
Let f(i) = -18*i**2 - 34*i. Let b(g) = -33*g**2 - 69*g + 1. Let l(r) = 3*b(r) - 7*f(r). What is the remainder when 189 is divided by l(-2)?
42
Suppose 5*n - 9 = 16. Suppose -2*f - f - 141 = -n*d, f + 27 = d. Suppose 0 = -35*y + d*y + 80. Calculate the remainder when y is divided by 5.
1
Let z(m) = 34*m - 400. Let t be z(19). Suppose 3*o = 2*p - t, 5*p - 640 = 6*o - 11*o. Calculate the remainder when p is divided by (0 - 24)*(-8)/6.
30
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