 the remainder when z is divided by 9.
3
Suppose 2*y = 14*y - 72. Let t = y - 85. Let o = 86 + t. What is the remainder when 34 is divided by o?
6
Let c = 2534 - 2485. Suppose -9*j + 88 = -371. What is the remainder when j is divided by c?
2
Let v(n) = -n**3 - 5*n**2 - 6*n - 6. Let g be v(-7). Suppose 0 = 36*a + g - 674. Calculate the remainder when 298 is divided by a.
13
Suppose 2*f + 7 = 3*g - 2*g, -4*g - 3*f = -6. Suppose -4*o + 405 + 357 = d, -4*o = g*d - 758. Calculate the remainder when o is divided by 50.
41
Let v(c) = -c**2 + 22. What is the remainder when 1/(386/3306 - 188/1786) is divided by v(0)?
21
Suppose 317*i - 327*i + 1600 = 0. What is the remainder when 491 is divided by i?
11
Let x(l) = -5 - 4 + 0 - 14*l. Calculate the remainder when x(-8) is divided by 2/(24 - 2) + (-14 - (-5918)/121).
33
Suppose 262*f = 217*f + 1125. What is the remainder when 1170 is divided by f?
20
Suppose 2194 = 99*s - 677. Calculate the remainder when 244 is divided by s.
12
Calculate the remainder when ((-371)/10*2)/((-8 - -1)/35) is divided by 183.
5
Let n be ((-8)/(-4))/(6/12). Suppose j = -3*w - n*j + 656, -5*w - j = -1086. Suppose k - w = -6*k. Calculate the remainder when 123 is divided by k.
30
Suppose 96 = 14*v - 44. Calculate the remainder when 212/2 + (3 - 1) is divided by v.
8
Suppose 0 = -5*h + l + 1871, 5*l + 25 = 45. Calculate the remainder when h is divided by 44.
23
Suppose -9 = -3*h, 9*u + 315 = 13*u - 3*h. What is the remainder when 1023 is divided by u?
51
Let s(n) = -n**2 + 123*n - 3516. What is the remainder when 1923 is divided by s(48)?
75
Let i = -2167 + 2259. What is the remainder when 327 is divided by i?
51
Let t(p) = -3*p**3 - 19*p**2 - 2*p + 27. What is the remainder when t(-9) is divided by 47?
35
Suppose 239*z - 147259 - 428970 = 0. Calculate the remainder when z is divided by 127.
125
Suppose -4*b + 18 = 2*b. Let o(q) = -q**3 + 4*q**2 + q - 1. Suppose -87 - 113 = -10*c. Calculate the remainder when c is divided by o(b).
9
Let t(l) = l**2 - 74*l - 379. Suppose 2*x - 34 - 116 = 0. What is the remainder when x is divided by t(79)?
11
Let s = -19879 + 42020. Calculate the remainder when s is divided by 33.
31
Suppose 2*d = n + 31, -10*d + 12*d = -4*n + 36. Let r = -44 - -154. Calculate the remainder when r is divided by d.
14
Calculate the remainder when (70/(-140))/(2*1/(-520)) is divided by 13.
0
Let o(u) = 3*u**3 + 10*u**2 - 4*u + 37. Calculate the remainder when 1154 is divided by o(-4).
20
Let d be (21 - 3) + 4 + -8 + 1. Suppose -2*n + 46 = 2*t + 2*t, -3*t = -2*n + 67. Calculate the remainder when n is divided by (115/15 + -5)*d/4.
9
Let q(f) = -67*f - 25. Let z be q(-2). Let v = 333 - z. Calculate the remainder when v is divided by 58.
50
Let m be (448/(-168))/(2/(-129)). Suppose -3*o = -m - 173. What is the remainder when o is divided by 13?
11
Let k be 2/((-4)/6)*200/24. Let j = k + 21. Let v(h) = -6*h + 10. Calculate the remainder when 67 is divided by v(j).
33
Suppose -4*o = o - 25. Let z be -2 + -1 + (o - (-4)/2). Suppose 0 = 2*d + 4*f - 46, 0*d - 87 = -5*d + z*f. Calculate the remainder when d is divided by 10.
9
Let q = 23816 - 23794. What is the remainder when 33 is divided by q?
11
Suppose -230 = 3*x - 296. Let z(p) = p**2 - 24*p + 56. Calculate the remainder when z(x) is divided by 9.
3
Suppose 0*h + 4*h = 2*d - 9256, -5*h - 5 = 0. What is the remainder when d/108 + 2/(-12)*-1 is divided by 220/30*(-6)/(-4)?
10
Suppose -5*x + 25*h = 27*h - 3226, 0 = 5*x - 4*h - 3208. What is the remainder when x is divided by 59?
54
Let b(z) = -z**2 + 10*z + 193. What is the remainder when 107 is divided by b(-9)?
19
Let q(r) = 8*r - 9. Suppose -2*g - 2*g = -4*s - 112, 5*s - g + 148 = 0. Let j = s - -37. Calculate the remainder when q(j) is divided by 7.
5
Suppose 209*v - 1666 = 195*v. What is the remainder when v is divided by 89?
30
Let d(a) be the third derivative of a**4/24 + 26*a**3/3 - 120*a**2. Calculate the remainder when 65 is divided by d(-15).
28
Suppose 0 = -10*w + 14*w - 24. Let t be w/5*145*5/10. Suppose 4*x + t = 5*l, 0*x - 2*x = 3*l - 39. What is the remainder when 104 is divided by l?
14
Let d = -1048 - -1560. What is the remainder when d is divided by 5?
2
Let b = -4354 - -5448. Calculate the remainder when b is divided by 8.
6
Let j(z) = 59*z - 22. Suppose -1264 - 383 = -9*w. What is the remainder when w is divided by j(1)?
35
Let o be (1 + (-10)/6)/((-20)/2040). Suppose 21*d - 25*d = -o. Suppose -2*n = -1 - d. What is the remainder when 23 is divided by n?
5
Let w(z) = 16*z**2 - 2*z + 1. Let g = -87 + 99. Suppose 0 = -4*b - 5*o - g, 2*b = -b - o + 2. Calculate the remainder when w(b) is divided by 21.
19
Suppose 3*g - 586 - 521 = 0. Let p = 399 - g. Calculate the remainder when 1/(-4) + (-209)/(-4) is divided by p.
22
Let n be 16 - (-5 - (0 + -4))*-1. Calculate the remainder when 82/(1 + 0 - -1) is divided by (-6)/n - (-360)/25.
13
Suppose 0 = -249*f + 227*f + 3102. Calculate the remainder when 521 is divided by f.
98
What is the remainder when 93 is divided by 1517/(-164)*(-8)/2?
19
Let j = -4 + 161. Calculate the remainder when 1406 is divided by j.
150
Let z(n) = n**3 + 8*n - 3. Suppose 0 = 38*g - 45*g + 14. Calculate the remainder when z(g) is divided by 13.
8
Let l(s) = -2*s**2 - 103*s + 16. Let q be l(-15). Suppose -2*a = q - 1603. Calculate the remainder when a is divided by 62.
60
Let r(d) = 35*d - 388. Let a be r(32). Let z = a + -548. What is the remainder when z is divided by 41?
20
Calculate the remainder when ((-6)/3 - -6)*40 is divided by 46.
22
Suppose 3*u - 2*m - 739 = 0, 15*m = 2*u + 13*m - 488. Calculate the remainder when u is divided by 107.
37
Let j(f) = f**2 - 2*f - 24. Let s be j(6). Suppose -c - 5*l = 30 - 84, s = -2*c + l + 141. Calculate the remainder when c is divided by 10.
9
Suppose 0 = 2*n - 5*y - 136, 2*n - 116 = -9*y + 4*y. What is the remainder when 21 is divided by 1*4 + 4*n/28?
8
Let b be (53 + -63)*-1*1. Suppose -b*x + 110 = -0. Calculate the remainder when 16 is divided by x.
5
Let h be (1 + 65/(-3))*-3. Let j = h - 60. What is the remainder when 62 is divided by ((-792)/(-54))/(j*2/6)?
18
What is the remainder when -1 - -566 - 0/(1 - 0/6) is divided by 70?
5
Suppose 24*v - 22*v = 2*f + 3058, 0 = 5*v + f - 7669. What is the remainder when v is divided by 30?
3
Let p(k) be the third derivative of 1/120*k**6 - 4/3*k**3 - 1/30*k**5 + 11*k**2 + 1/12*k**4 + 0 + 0*k. What is the remainder when 19 is divided by p(3)?
5
Suppose 60*n + 2754 = 3414. Suppose 3*t = -4*y + 34, 3*y + t + 1 - 24 = 0. Calculate the remainder when n is divided by y.
4
Suppose 3*f - 227 + 117 = -y, 3*y = -3*f + 102. What is the remainder when f is divided by -1 + 1*(8 + -1)?
2
Let h(b) = 49*b + 957. Calculate the remainder when 813 is divided by h(-16).
121
Let g be (-4)/(-14) + (-58)/7. Let h = g + 11. Let i(b) = 19*b**2 - 18*b - 20. Calculate the remainder when i(-1) is divided by h.
2
Suppose 347*m - 1660 = 337*m. What is the remainder when 493 is divided by m?
161
Suppose 4*t = 3*y - 8554 + 2098, 4*y + 3*t - 8558 = 0. What is the remainder when y is divided by 179?
175
What is the remainder when (38 - 34)/(16/2524) is divided by 169?
124
Let s be (40/28)/((-6)/(-21)). Suppose -i = s*i + 312. Let v = -46 - i. Calculate the remainder when 8 is divided by v.
2
Suppose -29*d + 706142 + 391189 = 0. Calculate the remainder when d is divided by 34.
31
Let l = -6167 - -7192. Calculate the remainder when l is divided by 16.
1
Let o = 7592 + -7492. Calculate the remainder when 100 is divided by o.
0
Let n be (-10 - (4 - 10))/(2/(-11)). Suppose 0 = -r - r + n. What is the remainder when ((-2 - -5) + -6)*-25 is divided by r?
9
Let m = -1251 + 1810. What is the remainder when m is divided by 278?
3
Suppose a - 4*q - 5 = 13, -5*a + 2*q + 54 = 0. Calculate the remainder when 2632/35 - (22 - 31)/(-45) is divided by a.
5
Suppose 4*m = -4*h + 24 + 56, -4*m = 3*h - 55. Let d = 92 + -8. What is the remainder when d is divided by h?
9
Let z = 278 - 767. Let d = z - -505. What is the remainder when d is divided by 12?
4
Suppose -q - 2*m = -252, -4*q = -4*m + 538 - 1546. What is the remainder when q is divided by 86?
80
Suppose 9*s = -86 + 14. Let b(z) = -z - 1. Let q(g) = 4*g + 23. Let k(y) = 5*b(y) + q(y). Calculat