Let s = 334 - 332. Suppose -2*g + 83 = m, 3*g + s*m + 0*m - 127 = 0. What is the remainder when 77 is divided by g?
38
Suppose -49*u + 142464 = 63*u. What is the remainder when u is divided by 28?
12
Suppose 39 = c - 4*m, 5*c - 300 = -8*m + 7*m. Calculate the remainder when 3125 is divided by c.
57
Let z = 119 + -22. Let h(a) = -1675*a + 102656. Calculate the remainder when h(61) is divided by z.
93
Calculate the remainder when ((-10870)/42*(10 - 7))/(3/(-21)) is divided by 36.
35
Suppose 3*f - 186 = 2955*u - 2960*u, -3*f = 4*u - 150. What is the remainder when 1108 is divided by u?
28
Let g = 381 + -174. What is the remainder when g is divided by 1 - (-42)/(-12) - (-61)/2?
11
Suppose -5787 - 4323 = -61*z + 504. What is the remainder when z is divided by 22?
20
Suppose -9*i = -3758 + 700 + 70. Calculate the remainder when i is divided by 13.
7
Let k(t) = 5*t + 89. Let u(b) = -15*b - 1. Let z be u(1). Calculate the remainder when 31 is divided by k(z).
4
Suppose -79*d - 10106 = -330*d - 75*d. What is the remainder when ((-40)/3)/(2/(-12)) is divided by d?
18
Let j(c) = 2*c**3 - 39*c**2 + 2*c - 5. Let g(x) = x**2 + x + 1. Let i(n) = g(n) + j(n). What is the remainder when 150 is divided by i(19)?
44
Suppose -123*h - 37*h + 5120 = 0. Calculate the remainder when h is divided by 21.
11
Suppose 258*l = 257*l + 158. Suppose -l = -27*f + 436. What is the remainder when 121 is divided by f?
11
Let c(b) = b**3 - b**2 - 2*b + 2. Let m(p) = 2*p**2 - 48*p - 284. Calculate the remainder when m(29) is divided by c(2).
0
Let c(q) = 19*q**3 + 2*q**2 - 2*q + 2. Let n = 70 - 72. Let h be (n/(-4) - 0)*2. Calculate the remainder when 102 is divided by c(h).
18
Let b(u) = u**2 + 4*u - 1. Let n be b(-4). Let y be 2/(n/(-5) + (-3)/(-15)). Suppose -y*g = g - 270. What is the remainder when g is divided by 24?
21
Suppose -581 = -13*j + 615. Calculate the remainder when 1563 is divided by j.
91
Let w(n) = -9*n**3 - 78*n**2 + 13*n - 14. What is the remainder when 134 is divided by w(-9)?
22
Let q = 20 - 12. Let b = 8 - q. What is the remainder when 31 is divided by -3 - (-2 + b - 8)?
3
Suppose 5*z - 318 + 28 = 0. Suppose 8 + 1 = -3*g. Calculate the remainder when z is divided by 7/((-7)/g) + 17.
18
Suppose k - 2*v - 1 + 2 = 0, k + 2*v = 19. Let a = k - 9. Suppose 5*j = -3*b - a*b + 55, 2*b = -3*j + 33. Calculate the remainder when 19 is divided by j.
8
Suppose -o + 3*l + 22 = 7*l, 33 = 3*o + l. Suppose -o*i + 644 = -3*i. Calculate the remainder when i is divided by 19.
16
Calculate the remainder when (0 - (-546)/56)*(-24)/(-9) is divided by 26.
0
Let x(s) = 2*s**2 - 81*s - 241. Calculate the remainder when 898 is divided by x(-3).
18
Calculate the remainder when 191 is divided by 8/(-8)*(-1 + 5 + -86).
27
Suppose 2*m - 4*a - 720 = 0, 10*m + 1449 = 14*m - 5*a. Let f be m/2*3/(-9). Let l = -29 - f. What is the remainder when 93 is divided by l?
29
Let g be (14/3)/(-3*12/54). Let s(h) = -22*h - 93. What is the remainder when 239 is divided by s(g)?
56
Suppose 0 = -2*g + 2*d - 5*d - 30, 2*d - 4 = 0. Let z be g/8*24/(-9). Suppose 32 = -z*r + 116. Calculate the remainder when 67 is divided by r.
11
Let v = -83 + 122. Let j = v - 13. Suppose q - 53 - j = 0. Calculate the remainder when q is divided by 40.
39
Suppose -4*h + 5*y + 88 + 31 = 0, 3*y - 195 = -5*h. Suppose -530 = -320*t + 315*t + 5*i, -t + 3*i = -120. What is the remainder when t is divided by h?
27
Suppose 4*w + 0 - 4 = 0, -5*w + 98 = 3*l. Let c = l - 11. Calculate the remainder when 57 is divided by c.
17
Calculate the remainder when 19492 is divided by ((-175)/150)/(2/(-60)).
32
Let z(v) = -v**3 - 23*v**2 - 42*v - 10. Let s be z(-21). What is the remainder when 134 is divided by (54/(-15) - -4) + (-266)/s?
26
Let v(c) be the third derivative of c**4/8 + 55*c**3/6 + 31*c**2 + c. Calculate the remainder when 98 is divided by v(-10).
23
Suppose 2*f = 11 + 29. Let a(x) = -51*x - 57. Let r be a(-3). Suppose -55 = -101*c + r*c. Calculate the remainder when f is divided by c.
9
Suppose -2*v = -4, c - 10 = -5*v + 11. Suppose 8 = c*n - 7*n. Suppose 0*i = -2*q + 3*i + 164, -4*i - 166 = -n*q. What is the remainder when q is divided by 27?
25
Let d be 1/3*0/(-4). Let q(b) = -4*b**2 + 3*b + 57. Calculate the remainder when q(d) is divided by 13.
5
Suppose -5*s = -2*d + 6725, -3*d - 530 + 10626 = s. What is the remainder when d is divided by 75?
65
Suppose -h + 2*a = -62, -154*h - 4*a = -159*h + 274. What is the remainder when 498 is divided by h?
48
Suppose 0 = 3*t + 4*o, -3*t - 5*o = 1 + 2. Suppose 9 = t*m - 91. Calculate the remainder when 73 is divided by m.
23
Suppose -2*t + 3*d = 3*t - 10, -4*t - 2*d = -30. Calculate the remainder when t/2*324/10 is divided by 12.
9
Suppose 0 = -4*g - a - 19, -2*g - 26*a + 24*a - 2 = 0. Calculate the remainder when 62 is divided by (-1 - g)*(-264)/(-60).
18
Let b(l) = 18*l. What is the remainder when b(1) is divided by (3 - (-3 + 12)) + (12 - 2)?
2
Suppose -55*a = -x - 51*a + 61, 5*x = 5*a + 380. Calculate the remainder when x is divided by 58.
23
Let q = 2136 - 2021. Calculate the remainder when 3217 is divided by q.
112
Suppose -32*x - 45 = -37*x. Let t = 7 - x. What is the remainder when (-1)/5*t - (-3230)/50 is divided by 22?
21
Let z = 121 - 115. Let t(d) = d**3 - 2*d**2 - 10*d - 28. What is the remainder when 163 is divided by t(z)?
51
Let j(m) = -m**3 + 6*m**2 - 7*m + 1. Let f be j(4). Suppose 4*d - 2*g + 35 = 7*d, 0 = -f*d - 2*g + 53. What is the remainder when 251 is divided by d?
8
Suppose 2*t - 3*f = 19, 3*t + 41 = f + 59. Suppose 0 = -t*s + 5*v + 260, 0*v - 46 = -s - 5*v. Calculate the remainder when s is divided by 20.
11
Let i = -272 - -285. Let l(c) = -3*c**3 - 4*c**2 - 2*c - 9 + 0*c**2 + 2*c**3. What is the remainder when l(-6) is divided by i?
10
Suppose l + 0*l = 3*k + 19, 46 = 4*l - 2*k. Suppose l*a - 5*p + 55 = 5*a, p = 3. What is the remainder when (-566)/a - 3/(-12) is divided by 36?
35
Let i be 3/6*(100 - -3 - -5). Suppose -5*b + y = -80 - 18, y - i = -3*b. What is the remainder when b is divided by 11?
8
Suppose 3*n = -15*n - 378. What is the remainder when 88 is divided by 21/n - (-1 + -47)?
41
Let c = -7 + 10. Let a be (7/5 + -1)*(-30)/6. What is the remainder when (a/(-4) - 0) + (-494)/(-52) is divided by c?
1
Let q = 53 - 51. Suppose -q*f + 2*d = -722, 478 = 4*f + 3*d - 966. What is the remainder when f is divided by 28?
25
Suppose h + 3*f = -f - 293, -2*f - 285 = h. Let u = 591 + h. Suppose -130 - u = -3*p. What is the remainder when p is divided by 30?
28
What is the remainder when 43259 is divided by -6*20*6/(-48)?
14
Let q be (16*-3 + 6)*(-28)/6. Suppose -3*j = -a + 17, -5*a = 4*j - 61 - 24. Suppose -q = 13*c - a*c. What is the remainder when c is divided by 17?
15
Suppose -36 - 14 = -5*o. Let f(s) be the first derivative of 4*s**3/3 + 5*s**2/2 + 6*s - 14. Calculate the remainder when f(-3) is divided by o.
7
Suppose 2*i = z, i = -3*i. Suppose -3*t - 3*u + 69 = z, -u + 0*u = -1. What is the remainder when (-18)/4*(-5)/(35/56) is divided by t?
14
Let r(b) = -36*b + 48. Let j be r(-5). Suppose 4*p = 64 + j. Suppose 0 = 4*a - 5*y - 71, -y + 91 = 5*a - 5*y. What is the remainder when p is divided by a?
16
Let s be -16*(-21)/6 + 0. Let n = -48 + s. Calculate the remainder when 55 is divided by n.
7
Suppose -2*x = -3*g + 35, 2*g - 2*x = -3*x + 28. Let b = 415 - 587. Let u = b - -180. Calculate the remainder when g is divided by u.
5
Suppose 36 = t - 102. Let n(p) = p**2 + 49*p - 40. What is the remainder when t is divided by n(-50)?
8
What is the remainder when 1412 is divided by (-25 + (-1078)/(-44))*47*-30?
2
Let p = 3277 + -2366. What is the remainder when p is divided by 102?
95
Suppose 3*y + 0*y - 5*d - 1962 = 0, 0 = -y + 2*d + 653. Let o = y - 586. What is the remainder when 215 is divided by o?
69
Let d(x) = -4*x - 1. Let f be d(1). Let h be 1*(-40)/10 + (-12)/6. Calculate the remainder when 19 is divided by 40/f*9/h.
7
Suppose -224*y - 69*y + 123353 = 0. What is the remainder when y is divided by 406?
15
Suppose -9*n = -2*n - 4158. Let p = n + -500. What is the remainder when p is divided by 20?
14
Calculate the remainder when 119 is divided by ((-8)/(-6))/((-344)/(-3354)).
2
Suppose 107*x - 129*x = -26906. Calculate the remainder when x is divided 