 254 + q. Calculate the remainder when i is divided by 47.
46
Suppose 5*w = x + 82, 0 = 2*w + 2*x - 60 + 20. Suppose -27*t + 3596 = -31*t - 5*a, 16 = 4*a. Let c = 909 + t. What is the remainder when w is divided by c?
2
Let w = -8196 + 8306. What is the remainder when w is divided by 40?
30
Suppose 12*p = 10*p + 46. Let w = -2 + p. Let u(i) = -25*i - 66. What is the remainder when u(-5) is divided by w?
17
Let s = 68 - 54. Let n(u) = u**2 - 10*u. Let y be n(15). Let r = 79 - y. Calculate the remainder when s is divided by r.
2
Suppose -18 - 198 = -8*g. What is the remainder when 1254 - (0 - 1) - (-27 + g) is divided by 74?
71
Suppose -8*q + 142 = -178. What is the remainder when 95 is divided by q?
15
Suppose 60*j - 917 = -4*o + 65*j, 2*o + 7*j = 411. What is the remainder when o is divided by 195?
28
Suppose -316*x + 3084 = -310*x. Let k = -481 + x. What is the remainder when 185 is divided by k?
20
Let b = 603 + -532. Calculate the remainder when (-213)/b + (-2 + 1 - -91) is divided by 5.
2
Suppose 0*w - 33 = -3*w. Suppose 5*z = -6*j + 10*j + 3, 9 = 3*j. Calculate the remainder when (0 - 12)/((-22)/w) is divided by z.
0
Let c(f) be the second derivative of -f**5/20 + 3*f**4/4 + 7*f**3/3 - 11*f**2/2 - 102*f. Calculate the remainder when 287 is divided by c(10).
26
Suppose -m + 84 = 82. Let n(k) = 6*k**3 + 2*k**2 + 16*k - 33. What is the remainder when 105 is divided by n(m)?
50
Let m(n) be the third derivative of n**4/12 - 17*n**3/6 - n**2 + 32*n. What is the remainder when 89 is divided by m(15)?
11
Let f(a) = 3*a + 28*a - 119 + 6*a - 282*a**2 + 281*a**2. What is the remainder when f(13) is divided by 45?
13
Suppose -24200 = -4*t - 5*f, 3917 = -4*t + f + 28117. Calculate the remainder when t is divided by 68.
66
Let g(b) = b**2 - 13*b + 43. Let z be g(6). What is the remainder when (1/(-2))/(z/(-38)) is divided by 5?
4
Suppose -3*v + 35 = -16. Let j(x) = 6*x**2 - 1. Let w be j(1). Suppose -4*f = 8, -5*a + 18 = -a + w*f. Calculate the remainder when v is divided by a.
3
Let h = 12286 - 12210. Calculate the remainder when 305 is divided by h.
1
Let d(q) = -4*q + 5*q - 1 - 8. Let k be d(-9). What is the remainder when 10 is divided by ((-8)/12)/(4/k)?
1
Suppose -9 = 4*k + 7. Calculate the remainder when 1/((-2)/k*2/31) is divided by (-180)/(-22) - (-8)/(-44).
7
Let i(f) be the second derivative of 11*f**4/12 + 4*f**3/3 + 18*f**2 - 6*f - 4. Calculate the remainder when i(-3) is divided by 14.
13
Let y = -4091 + 4123. Calculate the remainder when (2/(-5))/(1/(-390)) is divided by y.
28
Let u = -2154 - -2419. Calculate the remainder when u is divided by 130.
5
Let o(h) = -h + 942. Calculate the remainder when o(35) is divided by 12.
7
Suppose 2*a = 5*f + 221, -5*f = -10*f + 8 - 23. What is the remainder when a is divided by (78/(-4))/(9/(-24))?
51
Suppose 0 = 5*z - 10, z = 2*k - 4*z. Let t = 884 - 812. Suppose 12 - t = -k*o. What is the remainder when 45 is divided by o?
9
Suppose -10*q = -6*q + 4*p - 16, 12 = 3*q + 4*p. Suppose q*v = 8*v - 92. Suppose -258 = -0*f - 3*f. Calculate the remainder when f is divided by v.
17
Let m = 1928 + -1902. Suppose -5*z = -3*h + 1507 + 379, -z + 4*h - 367 = 0. What is the remainder when (-1)/3 - z/3 is divided by m?
22
Let u(g) = g**3 + 29*g**2 - 65*g - 59. Let p(f) = 47*f - 6. Calculate the remainder when p(3) is divided by u(-31).
33
Let s(y) be the second derivative of 1/2*y**4 + 3/2*y**3 + 3*y + 0*y**2 + 0 - 1/20*y**5. What is the remainder when 24 is divided by s(7)?
10
Suppose 5*z - 210 = -2*x - 3*x, -z + 90 = 2*x. What is the remainder when 2154 is divided by x?
42
Suppose 0 = -z + 14 - 4. Let s(w) = -2*w**3 + 21*w**2 + 16*w - 22. What is the remainder when s(z) is divided by 20?
18
Let l be -2*(-3)/5*5/2. Suppose -3*i - v + 0*v + 54 = 0, -l*v + 94 = 5*i. What is the remainder when 48 is divided by i?
14
Calculate the remainder when 50*(-1 - (-75)/6) is divided by (-368)/(-230)*(5 - 245/(-14)).
35
Let c(b) = 562*b - 119. Calculate the remainder when c(4) is divided by 27.
23
Let t = -8 + 80. Suppose 2*n + d - 30 = 0, 0 = -4*n + 8*d + 93 - 73. What is the remainder when t is divided by n?
7
Suppose 70*y = 69*y + 50. What is the remainder when 27 is divided by 5 + y/(-15) - 3/(-9)?
1
Let z(n) be the third derivative of 0 + 0*n - 1/3*n**4 - 21*n**2 - 35/6*n**3. What is the remainder when 87 is divided by z(-10)?
42
Let y be 3425/10 + 2/4. Suppose -y = -f - 5*t, -3*f + 2*f + 4*t = -298. Calculate the remainder when f is divided by 20.
18
Calculate the remainder when 2754 is divided by 215/430*116/2.
28
Suppose 0*a = 5*a - 15. Suppose -2*t + 189 = n, -2*t + 180 = -a*n - 29. Let q = -29262 + 29313. Calculate the remainder when t is divided by q.
46
Suppose -2*l + 4*a = -14 - 4, -3*l + 2*a + 39 = 0. Suppose 4*b - 349 - 55 = 0. What is the remainder when b is divided by l?
11
Let z(b) = 23*b**2 + 2*b + 4. Let r be z(-2). What is the remainder when (r/(-4)*2)/(-2) is divided by 3?
2
Let o(q) = 6*q - 132. Let j be o(22). Suppose j = -b + 5*m + 17, 53 = 9*b - 8*b + 4*m. What is the remainder when 122 is divided by b?
11
Suppose -51*p = -53*p - 83*p + 47855. What is the remainder when 1706 is divided by p?
17
Let j be 31/(0 - (2 + -3)). Suppose -j = -3*x - 1. Calculate the remainder when (18/30)/(0 - (-6)/390) is divided by x.
9
Let s(d) = 7 + d**2 + 12*d + 6 - 4*d. Let i = -3 + -6. What is the remainder when s(i) is divided by 7?
1
Let f = 74 - 71. Suppose 4*t = f*n + 35, 43 = 5*t - 5*n + n. What is the remainder when 118 is divided by t?
8
Suppose -12 = 11*m - 17*m. Suppose 0 = -0*b - b, -m*b = q. Suppose 4*h - 4*f - 108 = q, -f + 81 = 3*h - 2*f. Calculate the remainder when 75 is divided by h.
21
Let r(o) = 340*o - 1324. Calculate the remainder when 367 is divided by r(4).
7
Suppose -6922 = 68*w - 74888 - 162894. Calculate the remainder when w is divided by 40.
35
Let j be ((-2)/(-4) - 3)*-2. Calculate the remainder when -8 + 7 + j - (0 - 0) is divided by 1.
0
Suppose 494*l - 242*l = 249*l + 288. Calculate the remainder when 258 is divided by l.
66
Let k be -2 + (3 - -2) - 2. Suppose 0 = 30*u - 439 - 643 - 178. What is the remainder when u is divided by 11 + k + 5 + -6?
9
Suppose -2*a - 2*a = -124. Suppose 3*w + 4*r = 217, 0 = 9*w - 8*w + r - 74. Suppose -5*s = -6 - w. What is the remainder when a is divided by s?
14
Let p(v) = -578*v + 8355. What is the remainder when p(5) is divided by 25?
15
Suppose 10*q = 250 + 980. Let j = q + -119. Calculate the remainder when 45 is divided by j.
1
Let y be 126/3 + (-4)/(-2). Suppose -4*o = n - y, 2*n - 2*o = -n + 62. What is the remainder when 4 + n*2/3 is divided by 3?
2
Let a(t) be the second derivative of -5*t**3/6 + 11*t**2/2 + 9*t. Let p(k) = 32*k**2 - 7*k + 23. What is the remainder when p(2) is divided by a(-7)?
45
Calculate the remainder when (-1162)/249*1860/(-14) + 7 is divided by 625.
2
Let o(j) = 16*j**3 + 3*j**2 - j + 2. Let m be o(5). Let n = 161 + -145. Calculate the remainder when (-50)/275 - m/(-22) is divided by n.
14
Let t be 2/12 + (-77)/(-42). Suppose -5*p + 47 = t*x, 37 = 3*p + 3*x - 4*x. Let o = 113 + -106. Calculate the remainder when p is divided by o.
4
Let c(v) = 36*v + 907. Suppose -40 = -3*x - 4. Calculate the remainder when c(-23) is divided by x.
7
Suppose 2*x = -2*o + 236 - 48, 3*x - 282 = o. Suppose -43*y - 121*y + 3538 + 398 = 0. Calculate the remainder when x is divided by y.
22
Suppose -61*j + 106 + 16 = 0. Calculate the remainder when 139 is divided by (j + 20/(-6))/(10/(-315)).
13
Suppose -3 + 131 = 4*v. Calculate the remainder when -48*192/(-36) + -2 is divided by v.
30
Let n(a) = a**2 - 12*a + 24. Let v be n(5). Let r be 1 + 4 - (v + 18). What is the remainder when (141/6 + r)*2 is divided by 4?
3
Let q = 44 + -37. Suppose 0 = 13*g + 11 - 167. Calculate the remainder when g is divided by q.
5
Suppose 0 = 17*l - 583 + 158. What is the remainder when 523 is divided by l?
23
Let z = -3908 - -4133. Calculate the remainder when z is divided by 12.
9
Calculate the remainder when (36/21)/((-14086)/(-7042) + -2) is divided by 2007.
15
Suppose 577 = -c + 642. Suppose -2*k = -6*o + 5*o - c, -3*k + 3*o = -96. Let r = -10 - -28. Calculate the remainder when k is divided by r.
15
Let v = 2154 + -2062. Suppose -4*o = -0*o - 112. What is the re