vided by 20?
13
Let k(f) = f**3 + 32*f**2 + 8*f + 27. What is the remainder when 560 is divided by k(0)?
20
Suppose 234*x - 222*x - 132 = 0. Suppose 4*i + o = 571, 0*i + 580 = 4*i + 4*o. Calculate the remainder when i is divided by x.
10
Let t(p) = -2*p + 4. Suppose 9*j + 4 = 7*j. Let x be t(j). Suppose k - x = 6. Calculate the remainder when 54 is divided by k.
12
Suppose 0*g - 2*g + 198 = 0. Let c = 2982 + -1694. Let w = -1261 + c. Calculate the remainder when g is divided by w.
18
Let v(f) = f**3 - 13*f**2 + 54*f - 38. What is the remainder when 97 is divided by v(6)?
29
Let o = 1014 + -1000. What is the remainder when 40 is divided by o?
12
Suppose l + 4*l + i - 122 = 0, l = -5*i + 10. What is the remainder when 5294 is divided by l?
19
Let b be ((-10500)/147)/((-2)/7). Let g = b + -107. What is the remainder when g is divided by 49?
45
Suppose 4*c + 8 + 4 = 0. Let s be (13 - 12)*c/(-1) - 1. Suppose n + 2*n - 5*g = 231, -76 = -n + s*g. What is the remainder when n is divided by 12?
10
Suppose -5*s - 5*l + 100 = 0, -10*s + 5*s - 3*l + 90 = 0. What is the remainder when 69 is divided by s?
9
What is the remainder when 12 - (-7896)/60 - 2/(-5) is divided by 78?
66
Let d = -1724 - -2339. What is the remainder when d is divided by 301?
13
Suppose -32*r - 471 + 416 = -5495. What is the remainder when r is divided by 33?
5
Suppose 109*k - 543697 = -131*k - 67*k. Calculate the remainder when k is divided by 441.
7
Let j = -80 - -118. What is the remainder when 303 is divided by j?
37
Let c = 177 - 134. Suppose -5*i + c = -52. Calculate the remainder when 73 is divided by i.
16
Let p(o) = -14*o - 12. Let h be p(-6). Suppose 3*y + h = 11*y. Calculate the remainder when 40 is divided by y.
4
Let y be 511/(-35) + (-3)/(-5). Let z be 9/4 + y/56. Suppose -2*m + 545 = 3*m - z*b, 0 = -2*m - 2*b + 232. Calculate the remainder when m is divided by 38.
35
Let k(c) = c**3 + 14*c**2 + 6*c + 2. Calculate the remainder when k(-6) is divided by 14.
2
What is the remainder when 675 is divided by (-65 - -58)*(-22)/7?
15
Let b(z) = -z**3 - 11*z**2 + 8*z + 146. Calculate the remainder when b(-13) is divided by 19.
0
Suppose 66 - 233 = -5*z + 4*k, -4*z + 4*k = -136. Calculate the remainder when z is divided by 11 - -3*(-12)/9.
3
Suppose 0*b = -5*b + 145. Let h = -4909 + 4922. What is the remainder when b is divided by h?
3
Suppose 0*v + 90 = v. Let q(o) = 4*o**3 - 11*o**2 - 19*o - 3. Let h be q(-4). Let m = h - -372. What is the remainder when v is divided by m?
12
Suppose -76 = 5*i + h, -i + 5*h = -0*i + 10. Calculate the remainder when i/9*(8 + -83) is divided by 21.
20
Suppose 7786 = -22*m + 50*m - 11*m. What is the remainder when m is divided by 91?
3
Let k = -968 + 972. Suppose -8*u - 44 = -4*o - 9*u, 4*u + k = -o. Let r = 2 - -15. Calculate the remainder when r is divided by o.
5
Suppose -5*h - 4*p + 11 = -0*p, 14 = 5*h + p. Let x be h + (-2 - -17*7) + 0. Suppose 8*d - 2*d = x. Calculate the remainder when 75 is divided by d.
15
Suppose -844 + 1630 = 3*v. Let b = -252 + v. Calculate the remainder when 387 is divided by b.
7
Let i = 304 + -352. Let b = 201 + i. Calculate the remainder when b is divided by 40.
33
What is the remainder when (-5)/(90/(-5582)) - 5/45 is divided by 12?
10
Let v(f) be the first derivative of 7*f**2 - 102*f - 55. Calculate the remainder when v(14) is divided by 17.
9
Suppose -380*i + 364*i + 1488 = 0. Calculate the remainder when 13855 is divided by i.
91
Let l(a) = -2*a**2 + 43*a - 75. Let p be l(20). Let i = -42 + 80. Let n = i - p. What is the remainder when n is divided by 19?
15
Let k = -346657 - -346956. Suppose 4*s - 44 - 261 = -m, -4*s = 3*m - 307. Calculate the remainder when k is divided by s.
71
Suppose -5*y = y - 3*y. Suppose 4 = -y*g + g. Suppose g*l + l - 55 = 0. What is the remainder when 43 is divided by l?
10
Suppose 15*x - 11*x - 5*o = 3233, 5*o - 1609 = -2*x. What is the remainder when x is divided by 91?
79
Suppose -484 = -v - 3*v - 4*n, -3*n - 357 = -3*v. Suppose 62*a = 60*a + v. Calculate the remainder when a is divided by (-153)/(-7) + 6/42.
16
Let s = 274 - 354. Let l = 88 + s. What is the remainder when 61 is divided by l?
5
Let t be 103 + -4*(-4)/(-8). Let b = t + -83. Calculate the remainder when 238 is divided by (b/(-36))/(2/(-192)).
46
Let o(r) = 6*r**2 + 164*r + 1666. Calculate the remainder when 564 is divided by o(-12).
2
Suppose 5*l = -2*z + 305, 0 = l + z + 10 - 74. Suppose -61*s + 86 = -l*s. What is the remainder when 170 is divided by s?
41
Suppose 0 = -c - 0*c + 2, -c + 14 = 4*d. Suppose 0 = d*t + 26 - 35. Let s(y) = 2*y**2 - 4*y - 3. What is the remainder when 23 is divided by s(t)?
2
Let k be ((-34)/102)/((2/2658)/(-1)). Let m = -165 + k. Calculate the remainder when m is divided by 56.
54
Let f = 7 - -16. Let w be ((-14)/3 + 2)*(-5229)/(-84). Calculate the remainder when (-8)/(-80)*5 - w/4 is divided by f.
19
Suppose -a = -3*v - 11, 2*v - 4 + 0 = -5*a. Suppose 0*o + 2*o - 16 = a*j, 5*o + 4*j - 40 = 0. What is the remainder when 3 is divided by (-35)/(-10)*o/14?
1
Let a = 56178 - 55942. Let q = 127 - 41. Calculate the remainder when a is divided by q.
64
Calculate the remainder when 52 is divided by (-56)/(-42)*(-84)/(-4).
24
Suppose 5*c - 3*u - u - 36 = 0, -28 = -2*c + 5*u. Suppose -x + 24 - 3 = 4*n, -2*n + 56 = c*x. What is the remainder when 49 is divided by x?
10
Let l(p) = -9384*p**3 - 2*p**2 + 102*p + 105. Calculate the remainder when l(-1) is divided by 149.
147
Suppose -48004 = -165*i + 81191. What is the remainder when i is divided by 52?
3
Suppose 4*w - 5*b = -0*b + 72, b + 69 = 5*w. Suppose u - 203 = -4*t, -368*t + 3*u = -365*t - 141. Calculate the remainder when t is divided by w.
11
Let x(z) = 95*z - 71. Let a(i) = -1. Let w(h) = a(h) + x(h). What is the remainder when w(3) is divided by 43?
41
Suppose -203 = -63050*i + 63047*i + 124. Suppose -2*y + 17 = 3. Calculate the remainder when i is divided by y.
4
Let y = 10924 + -6374. What is the remainder when y is divided by 37?
36
Suppose 2*d + 6 = -3*v - 5, -3*d - 13 = v. Let q be 4/18 + (-122)/(-18) + v. Suppose 0 = -q*a + 11*a - 70. What is the remainder when a is divided by 4?
2
Calculate the remainder when (300/(-500))/((-1)/1185) is divided by 11.
7
Let x = 11960 - 10149. Calculate the remainder when x is divided by 900.
11
Suppose 10*d = -2*d + 5114 + 13006. Calculate the remainder when d is divided by 242.
58
Let n be (-2 - -5)*(-4)/(-6). Let u(z) = 5*z**3 - 4*z**2 + 3*z - 1. Let o be u(n). Let d = -22 + o. Calculate the remainder when 55 is divided by d.
6
Calculate the remainder when (0 - 6)*1*(-143)/22 is divided by (-210)/(-35) - (-6 + 0).
3
Let w = 1409 - 1186. What is the remainder when 273 is divided by w?
50
Let a = 50 - 46. Suppose 0 = 4*m + 3*l - 29, 12 = m + a*l - 5. Suppose -3 = 3*y - 9. Calculate the remainder when m is divided by y.
1
Suppose 5*f = 4*f + 42. Suppose 1302 = -15*n + 1437. What is the remainder when f is divided by n?
6
Let d be 27/(-6)*64/(-6). Let v = d - 21. What is the remainder when v is divided by 16?
11
Let c(a) = a**2 - 5. Let b = -16 + 21. Calculate the remainder when 91 is divided by c(b).
11
What is the remainder when 470 is divided by -25 - (-9792)/221 - 12/39?
14
Calculate the remainder when -912*119/(-34) + 5 is divided by 78.
77
Let s = -2597 + 2949. Calculate the remainder when 717 is divided by s.
13
What is the remainder when ((-107)/3)/(5/(-60)) is divided by (-4)/(-7) - -227*(-2)/(-14)?
32
Suppose -1409*h = -1377*h - 15904. What is the remainder when h is divided by 9?
2
Suppose 4*z - 980 = 2*j, 5*j = z - 197 - 39. Calculate the remainder when z is divided by 68.
42
Let x be (-1)/9 + (-51536)/(-18). Suppose -x = 19*w - 26*w. What is the remainder when w is divided by 59?
55
Suppose -2*v + 182*w - 185*w + 400 = 0, 5*v + 3*w - 973 = 0. Calculate the remainder when v is divided by 18 + 0 - 0/2.
11
What is the remainder when 1107 is divided by ((-627)/110)/((-9)/(-12))*1*-5?
5
Suppose -222*i + 1794036 = -56*i + 361124. Calculate the remainder when i is divided by 157.
154
Let c = -26 + 29. What is the remainder when 179 is divided by (-234)/91*(-4 - c)?
17
Suppose -2*h + 360 = 4*g, -19*h + 24*h - 30 = 0. Suppose -4*a + 0*a = -36. Calculate the remainder when g is divided by a.
6
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