 641 = 3*b, 5*b + 751 = 2*g. What is the remainder when g is divided by 20?
18
Let n be (-2 + (-2)/(-2))*-43. Let q = 21 + n. What is the remainder when q is divided by 14?
8
Suppose 53*x - 56*x - 15 = 0, x = a - 26. What is the remainder when 517 is divided by a?
13
Let z = -3365 + 5131. Calculate the remainder when z is divided by 876.
14
Suppose 4*g - 120 = -3*s, 5*g + s - 157 = -s. Let j(z) = -37*z**2 - 600*z - 7. What is the remainder when j(-16) is divided by g?
22
Suppose 21*u - 1121 = -18*u + 2584. Calculate the remainder when 997 is divided by u.
47
Let b = -2378 + 2443. What is the remainder when 2143 is divided by b?
63
Let g = -7780 + 7836. What is the remainder when 447 is divided by g?
55
Let a(s) = 11*s**2 - 1718*s + 10311. Suppose -93 = -2*i - i. What is the remainder when a(6) is divided by i?
27
Suppose -117*c + 120*c - 5*p = 187, -c + 3*p = -65. Calculate the remainder when 528 is divided by c.
56
Let o = -1205 + 1218. Let b(i) be the second derivative of i**5/20 - i**4/2 - i**3 - 4*i. What is the remainder when o is divided by b(7)?
6
Suppose 3*m = 2*q + 147 - 24, 2*m = -2*q + 72. Suppose -m*g - 544 = -47*g. What is the remainder when 201 is divided by g?
65
Suppose -51*f + 35259 = -30*f. Calculate the remainder when f is divided by 29.
26
What is the remainder when (-2)/69 - (-1031702)/483 is divided by 153?
147
Let g(d) = d**3 - 5*d**2 - d - 1. Let b be g(5). Let j be (-1 - -4 - b/4)*2. Let v = 37 - j. What is the remainder when 80 is divided by v?
24
Suppose -351 = -210*x + 134049. Calculate the remainder when x is divided by 23.
19
Suppose 1007 = 5*v + 3*k - 223, -2*k = v - 246. Let n(i) = i**3 + 5*i**2 - 3*i + 4. What is the remainder when v is divided by n(-3)?
29
Suppose 2*a - 35 = 5*g, -3*a - 3*g = 13 - 55. What is the remainder when 71 is divided by a?
11
Suppose 244*m = 118*m + 97*m + 10208. Calculate the remainder when m is divided by 62.
42
Let j(k) = 5*k**2 - 224*k + 34. Calculate the remainder when j(48) is divided by 5.
2
Suppose 0 = -4*k - 5*h - 45, 2*h = -16*k + 11*k - 35. Let o(f) = 6*f + 45. Calculate the remainder when 37 is divided by o(k).
7
Let g = 21 - 6. Let v(i) be the second derivative of i**5/20 + 5*i**3/6 - i**2 + 6*i - 5. Calculate the remainder when v(3) is divided by g.
10
Suppose -2*g + 33 = -5*p, 33*p + 42 = 2*g + 31*p. Calculate the remainder when 334/(-4)*(-12)/6 is divided by g.
23
Let j(a) = -27*a + 1345. Calculate the remainder when 95 is divided by j(48).
46
Suppose 5*z = -4*p + 129 + 192, 2*p + 175 = 3*z. What is the remainder when 302 is divided by z?
58
Suppose -2*s = -4*b + 1444, b + 2*s = 69 + 292. Calculate the remainder when b is divided by 146.
69
Suppose -t = 7*f - 3*f + 11, 4*t - 4*f = 16. Let y(n) = 35*n - 13. Let z be y(t). Suppose -z*w + 345 = -19*w. What is the remainder when w is divided by 33?
16
Suppose 3*y + 5*y = -152. Let w(a) = 4*a + 78. Calculate the remainder when 4/(-6) + (-14)/(-3) is divided by w(y).
0
Let o(j) = j**2 + 2*j - 2. Suppose -18*d + 24*d + 786 = 0. Let a = d - -181. Calculate the remainder when a is divided by o(3).
11
Calculate the remainder when ((-82176)/(-640))/((-2)/(-5)) is divided by 133.
55
Let d = 10 + -13. Let o(t) = -2*t**3 + 4*t**2 + 2*t - 4. Let s be o(d). Suppose 5*i - s = -4*v, 0 = i - 3*i + 8. What is the remainder when v is divided by 8?
7
What is the remainder when -692*(-1)/12 - 3/(-9) is divided by 4375/275 + (-2 - 69/(-33))?
10
Let h(q) = -q**2 + 115*q - 873. What is the remainder when 39850 is divided by h(106)?
79
Suppose 2*i - 284 = -4*m, 971*m = 5*i + 976*m - 715. What is the remainder when 983 is divided by i?
119
Let r = -6050 + 6061. What is the remainder when 434 is divided by r?
5
Suppose u + 6 = 3*u + 4*n, n = -4*u + 19. Suppose u*f = -f - 6. What is the remainder when -1*-37*(f + 2) is divided by 10?
7
Let h be (1/2)/(8/64). Let k be (6/h)/((-3)/4)*-2. Suppose -12 = -4*s, s - 9 = 3*y - k*s. What is the remainder when 2 is divided by y?
0
Suppose -4*c + 1628 - 377 = x, 5*c - 1545 = 5*x. Suppose -14*g - 18 = -c. Suppose 23*a = g*a + 52. What is the remainder when 127 is divided by a?
23
Suppose -33*g = 32*g - 3055. What is the remainder when 55 is divided by g?
8
Suppose 0 = -c + 2*h + 32, -26*c + 30*c - 180 = -5*h. What is the remainder when 347 is divided by c?
27
Suppose -117*j = 111*j - 222*j - 468. What is the remainder when 6003 is divided by j?
75
Let h = -85 + 92. Suppose -30 = x - h*x. Suppose -x*a - 27 = -2, -5*a - 53 = -2*d. What is the remainder when 51 is divided by d?
9
Suppose 2*o + 3*x = 5*o - 210, 2*o = 4*x + 146. Suppose 4*t - 201 = -5*n - o, 5*t = 3*n - 110. What is the remainder when n is divided by 3?
0
Let o(c) = 2*c**3 + 133*c**2 + 39*c + 76. Calculate the remainder when o(-66) is divided by 19.
15
Calculate the remainder when 1538 is divided by (-25 + 11)*(-9)/54*3.
5
Suppose 0 = 2*q - 4 - 0. Suppose -q*n = -6*n + 232. Let m = -9484 + 9500. Calculate the remainder when n is divided by m.
10
Let o(l) = -7*l + 96. Let z be o(-21). Let a = z - 226. What is the remainder when 45 is divided by a?
11
Suppose -128 = -4*y + 7*p - 3*p, 2*p = 5*y - 154. Calculate the remainder when 198 is divided by y.
18
Let q be 63200/(-304) - (-4)/(-38). Let o = q + 243. Calculate the remainder when o is divided by 9.
8
Suppose -5*r + 2 = -4*s, 4*r - 6 = 2*r - s. Let h be 1 + r + -3 - -2. Suppose -v + 42 = h*v. What is the remainder when 31 is divided by v?
3
Let o(q) = q + 1. Let v(d) = 41*d**2 - 25*d + 8. Let i(g) = -5*o(g) + v(g). What is the remainder when i(5) is divided by 22?
20
Let m(g) = -g**3 - 3*g**2 - g + 4. Let u be m(-3). Suppose 80 = -11*x + 16*x. Calculate the remainder when 54/(-126) + 892/u is divided by x.
15
Let x(w) = 10*w**2 - w - 5. Let z(d) = -5*d**2 + d + 3. Let k(c) = 3*x(c) + 5*z(c). What is the remainder when 141 is divided by k(-2)?
13
Let m be (8/20)/((1/510)/1). Suppose m = 22*a - 5*a. What is the remainder when 57 is divided by a?
9
Let a be (11 - 10)*(-2 - -2). Let u = 3 - a. Suppose -2*m = -0*r + u*r - 71, -3*m = r - 103. What is the remainder when 66 is divided by m?
32
Let r(j) = 2*j**2 - j - 4. Let o be r(3). Suppose 0 = -o*p + 16*p - 50. Calculate the remainder when 16 is divided by 2/(4 - 2)*p.
6
Let t(k) = 8*k**3 + 5*k - 16*k + 9*k + 5*k**3 + 2 + k**2. Suppose -2*f = -184 - 6. What is the remainder when f is divided by t(1)?
11
Suppose -5*k - 74 + 4 = 0. Let c be (-3 - 5/(10/k))*29. Calculate the remainder when (2/(-4))/((-1)/c) is divided by 20.
18
Suppose -11*i + 2055 + 5449 = 45*i. Calculate the remainder when 548 is divided by i.
12
Suppose 3*f = 4*h - 168, 0 = 5*h - 2*f - 25 - 192. Suppose -3*i = -j + 31, 33 = 3*j - 2*j - 4*i. Calculate the remainder when h is divided by j.
20
Let y(j) = -j**3 - 16*j**2 - 19*j + 27. Let o be y(-16). Let z = o + -288. Let c(i) = 3*i + 6. What is the remainder when z is divided by c(6)?
19
Let t(k) = -2*k**3 + k**3 + 3*k**2 + 270 - 272 - k. Let p be t(-3). Suppose 84 = -54*j + p*j. Calculate the remainder when j is divided by 43.
41
Calculate the remainder when 5*108/(-27)*1/20 - -588 is divided by 46.
35
Let n(w) = -5*w + 12. Let c be 9*12/27*-3. Calculate the remainder when n(c) is divided by (-18)/4*26/(-3).
33
Let k = 211 - 183. Let t(c) = 12*c - 20. Calculate the remainder when t(10) is divided by k.
16
Let c(n) = -n**3 - 3*n**2 + 6*n - 7. Let q = 53760 - 53756. Calculate the remainder when c(-5) is divided by q.
1
Let j be (-30)/(-25)*-5 - 5. Let b(o) = 6*o**2 + 2*o - 2. Let t be b(-2). Let r = t - j. Calculate the remainder when r is divided by 16.
13
Suppose -5*f + 158 = h, 0 = -68*f + 69*f + 5. What is the remainder when 686 is divided by h?
137
Let c(h) = 36*h**2 + 2*h + 40. Calculate the remainder when c(3) is divided by 348.
22
Suppose 0 = 2*z + 41*z - 267 - 550. What is the remainder when 522 is divided by z?
9
Suppose 3*v = -14*v + 136. Suppose 0 = -v*z - 118 + 318. Calculate the remainder when (-275)/(-4) - 2/(-8) is divided by z.
19
Let g = 12524 + -12516. Let a(i) = 36*i + 1. What is the remainder when a(1) is divided by g?
5
Suppose 20 = -w - 5*q, 4*q + 59 = -w + 43. Suppose w = -144*s + 139*s + 85. Let j = -80 + 126. What is the remainder when j is divided by s?
12
Calculate the remainder when (-48)/72*((-3546)/12 - 6)