2
Suppose -130 = -4*g + 50. What is the remainder when g/6 - 7/(-14) is divided by 3?
2
Suppose -8*q - 342 = 210. Calculate the remainder when 99 is divided by (-1 - q/9)/((-1)/(-3)).
19
Let g be (-4)/(-18) - (-254)/(-9). Let o be 25/2 - 7/(g/6). Suppose -o = -3*q + 25. Calculate the remainder when 49 is divided by q.
10
Suppose -3*z - 5*t = -562 + 205, -3*t = 3*z - 357. What is the remainder when z is divided by 47?
25
Suppose 2*i = 2*m + 388, -2*i - 27*m = -28*m - 382. What is the remainder when 623 is divided by i?
59
Suppose 7*x - 3*f + 1653 = 10*x, -2*x = -9*f - 1157. What is the remainder when x is divided by 272?
12
Let n = 4127 - 3904. What is the remainder when n is divided by 52?
15
Suppose 87 = 3*t - 3*j, -5*t + 9*j + 149 = 8*j. Suppose 3*n = 3*w - 906, w + 0*n = 2*n + 307. What is the remainder when w is divided by t?
27
Let p(c) = 15*c**3 - c**2 + 3*c - 3. What is the remainder when p(1) is divided by (-4)/(8 + 4)*-24?
6
Let f(r) = -29*r + 7. Calculate the remainder when f(-6) is divided by 10/(-14)*16/(-20) + (-628)/(-28).
20
Suppose -23 - 11 = -z. Let s = -40 - -29. Let o = 23 + s. What is the remainder when z is divided by o?
10
Suppose 0 = -5*s + 2*s + k + 191, 0 = 3*k - 3. Suppose -17*f + 2734 - 524 = 0. Suppose 29*g - f = 19*g. Calculate the remainder when s is divided by g.
12
Let s = 120 + -129. Calculate the remainder when (2376/(-16))/s*44/6 is divided by 21.
16
Let l = -1004 + 767. Suppose k = -2*g + 685, 5*g + 4*k + 213 = 1930. Let v = l + g. What is the remainder when v is divided by 28?
20
Let g = -288 - -292. Calculate the remainder when 28 is divided by (6/4)/(1/g).
4
Calculate the remainder when 274 is divided by (25 - -6) + 5 + 3 + -2.
15
Suppose 0 = -10*f - 994 + 2114. Calculate the remainder when f is divided by 86.
26
Let x(n) = -2*n**2 - 12*n + 20. Let v be -5 + (-28)/(-6) - 43/(-3). Suppose -10*s + 12*s + v = 0. Calculate the remainder when 63 is divided by x(s).
3
Suppose 10470 = 31*t + 1790. Calculate the remainder when (-1)/(4 - 2242/t - -4) is divided by 47.
46
Let i(s) = 34*s**2 - 3*s - 12. Let p be i(-3). Suppose 9*r = p + 471. Calculate the remainder when r is divided by 22.
20
Let d(f) = 7*f - 4. What is the remainder when 86 is divided by d(8)?
34
Let d(n) = n**3 - 6*n**2 + 14*n + 98. Calculate the remainder when 1751 is divided by d(11).
37
Let f(a) = 7*a**2 + 149*a + 131. What is the remainder when 502 is divided by f(-21)?
57
Let f = 6651 + -6397. What is the remainder when f is divided by 139?
115
Let k = 26335 + -26072. What is the remainder when 699 is divided by k?
173
Suppose 2*i - 524 - 270 = 5*x, 2*i = 3*x + 794. Suppose 641*z - 4549 = 213*z + 4439. What is the remainder when i is divided by z?
19
Let v be -40 - (15/(-10))/((-3)/(-2)). Calculate the remainder when 46 is divided by (104/v)/(4/(-54)).
10
Let a(k) = 3*k**2 - k. Suppose -h = 3*p - 2*p + 2, 2*p = 4*h - 4. Let s(x) = 13*x - 22. What is the remainder when s(7) is divided by a(p)?
13
Let s = 16360 - 16327. Calculate the remainder when 626 is divided by s.
32
Suppose 0 = 57*t - 58*t - 856. Let g = t + 872. Calculate the remainder when 22 is divided by g.
6
Suppose -5*m + r = -1 - 6, 3*r + 4 = -2*m. Suppose d - m - 20 = -v, 2*v - 35 = 5*d. Let b = -13 + 20. What is the remainder when v is divided by b?
6
Suppose -11*m + 3440 = -15885 + 2913. Calculate the remainder when 3002 is divided by m.
18
Let r(f) = 9*f**2 - 96*f - 98. What is the remainder when 2673 is divided by r(-1)?
6
Suppose -5*u + 4*g = -174, 3*g + 60 = 2*u - g. Suppose -4*y - o + 142 = -452, -738 = -5*y - 2*o. What is the remainder when y is divided by u?
36
Let z(l) = -l**3 - 2*l - 1. Let k(j) = -84*j**3 + 3*j**2 + 9*j. Let f(a) = -k(a) - 4*z(a). Calculate the remainder when f(1) is divided by 18.
16
Let u = -24 + 41. Let o be 33 - (-1)/(-8 - -9). Suppose -o*l = -38*l + 188. What is the remainder when l is divided by u?
13
Let y be 46299/(-345) - 2/10*-1. Let q = -123 - y. What is the remainder when 87 is divided by q?
10
Suppose -50837 - 8083 = -108*g + 54696. What is the remainder when g is divided by 44?
40
Suppose -215*c + 282*c - 12127 = 0. What is the remainder when c is divided by 46?
43
Suppose -4*n - 3*p + 434 = 0, -4*n + 0*p + 2*p = -444. Suppose 2*g + b = -3*b + 74, 0 = 3*g + 4*b - 103. What is the remainder when n is divided by g?
23
Let z(c) = 24*c**2 - 4*c + 31. Calculate the remainder when z(4) is divided by 27.
21
Let c(o) = -o**3 - 30*o**2 - 107*o - 64. Suppose 0 = 4*k + k, -5*k - 584 = -2*r. Calculate the remainder when r is divided by c(-26).
12
Suppose 516 = 41*f - 181. Calculate the remainder when 3399 is divided by f.
16
Suppose -6*o - 10*o = -21*o. Suppose 4*x - 192 = -4*a - o*x, a + 2*x = 53. Calculate the remainder when a is divided by 27.
16
Suppose 351 = -114*d + 2061. Let w(m) = -3*m**2 + 4*m - 3. Let u(c) = c**2. Let x(o) = -2*u(o) - w(o). Calculate the remainder when d is divided by x(5).
7
Let o be (-9)/(-6) + ((-125)/(-10))/5. Calculate the remainder when 183 is divided by (-1)/(o/12) - (-52 + 3).
45
Let c = 2400 + -2056. Calculate the remainder when c is divided by 59.
49
Suppose 99 = 3*d - 3*s, -3*d - s + 28 = -67. Let v = 5 + d. What is the remainder when 174 is divided by v?
26
Let y = 207 + -112. What is the remainder when y is divided by 3 + ((-24)/21)/((-2)/7)?
4
Let n = 1587 - 1464. What is the remainder when n is divided by 22?
13
Let s = -50 - -55. Suppose 3*x = -s*j + 120, -j + 26 = 3*x + 2. What is the remainder when (-6 + 9)*(2*j + 1) is divided by 30?
27
Let b = 7496 + -7486. Let o(d) = -66*d**3 - d**2 - 2*d - 1. What is the remainder when o(-1) is divided by b?
6
Let w be 0 + 2/6 - (-2)/(-6). Suppose w = -12*c - 13 + 49. Suppose 0 = 3*t - 3, -z = -0*t - c*t - 7. Calculate the remainder when 39 is divided by z.
9
Let g = 168 - 149. Suppose -6*k + g = -53. Let v = -118 - -173. Calculate the remainder when v is divided by k.
7
Let a(c) = 22*c + 7. Let m be a(4). Suppose -5*h - 5*j = -m, -6*j + 2*j - 71 = -3*h. What is the remainder when 104 is divided by h?
20
Suppose 22*y - 777 = -12*y + 13*y. What is the remainder when 3144 is divided by y?
36
Suppose x + 5*m - 76 = 0, 3*x + 3*m - 63 = 117. Suppose 30 + x = 2*h. Suppose 37*z - 99 = 28*z. Calculate the remainder when h is divided by z.
10
Suppose -24*a - 31268 + 7412 = 0. Let x = -966 - a. What is the remainder when 272 is divided by x?
20
What is the remainder when 124 is divided by (-410)/(-1435) - 1690/(-14)?
3
Let y(m) = -m**3 - 26*m**2 - 54*m - 48. What is the remainder when y(-24) is divided by 20?
16
Calculate the remainder when 57 is divided by (36/84 + 3)/(6/63).
21
Let p = 7094 - 7038. Calculate the remainder when 2855 is divided by p.
55
Suppose 2*a - 182 = -h, 48 + 146 = h - 2*a. What is the remainder when h is divided by 64?
60
Let z(r) = r**3 + 8*r**2 - 84*r - 606. What is the remainder when 608 is divided by z(-10)?
30
Let y(d) = -d**2 - 22*d - 61. Let h be y(-16). Let v = h - -32. Calculate the remainder when v is divided by 37.
30
Let c = 204 + -136. Let n(h) be the second derivative of h**5/20 + h**4/6 - 23*h**3/6 - 17*h**2/2 + 2*h - 29. What is the remainder when c is divided by n(-5)?
22
Let q(p) = 6*p**3 + p - 1. Let z(a) = -2*a**3 - a**2 + 117*a + 336. What is the remainder when q(4) is divided by z(-3)?
27
Suppose 0 = -150*t - 156*t + 300*t + 246. Let m(b) = b + 6. Let h be m(-7). Calculate the remainder when t is divided by 14 + 1 + 1/h.
13
Suppose 2*p = -5*x + 89, -189 + 66 = -4*x - 9*p. Calculate the remainder when 4390 is divided by x.
10
Let b = -58602 + 58621. Suppose 0*r + 5*r = 0. Suppose r = 5*w - 4*w - 4. Calculate the remainder when b is divided by w.
3
Let m(g) = 17*g - 382. Let k be m(22). Let s(d) = 2*d**2 - 16*d - 189. Calculate the remainder when s(k) is divided by 19.
10
Let t(a) = a**2 + 6*a + 6. Let g be t(-7). Suppose -j - f = -g, -5*f + 35 = 4*j - 21. Suppose 2*o - 99 = -j*o. What is the remainder when 71 is divided by o?
8
Suppose -5*a - 2 + 7 = 0. Let c be (-60)/9*(a + (-7)/4). Suppose 5*d - 94 = -5*l + 66, c*d - 152 = 3*l. Calculate the remainder when 57 is divided by d.
26
Let r(c) = -c**3 + 22*c**2 + 4*c - 18. Let n be r(18). Let j be n/(-4) - (-2 + (-28)/(-8)). Let z = j + 516. What is the remainder when z is divided by