emainder when ((-472)/(-354))/((-3)/(-36)) is divided by t?
1
Suppose 741 + 267 = -2*f. Let b = 559 + f. What is the remainder when b is divided by 29?
26
Suppose 2*u = 6, 4*d + 11*u + 1100 = 15*u. Let l = -32 - d. What is the remainder when l is divided by 41?
35
Suppose 4*a - 201 = -s, -353*s + 352*s + 4*a + 145 = 0. What is the remainder when 1714 is divided by s?
157
Suppose -3*i + 14 = 2*f, 0*f + 3*i = f - 7. Calculate the remainder when (f - (-1 - -3) - -118) + -5 is divided by 11.
8
Suppose 5*l + 96 = 2*u, -u + 44 = -3*l - 2. Let y(j) = 6*j**2 + 3104*j + 6204. What is the remainder when u is divided by y(-2)?
18
Suppose -3*o + 4*f = 10, 3 = -o - 3*f - 9. What is the remainder when (-180)/48*(170/o - 1) is divided by 56?
54
Suppose -142 = -3*k - 76. Let r(b) be the first derivative of 2*b**3/3 - 3*b**2/2 - b - 3. What is the remainder when k is divided by r(3)?
6
Let d = 76 + -72. Suppose d*v - 277 = 5*o, 4*v + 3*o = 2*v + 133. What is the remainder when 270 is divided by v?
66
Suppose -4*a + 7519 - 1011 = -5*p, 3*p - 4908 = -3*a. Suppose x + x + a = 0. What is the remainder when x/(-11) - (-4)/(-22) is divided by 25?
24
Let o be (-1)/6 - (6 - 4383/54). Let g = o - 49. Let s(q) = 5*q**2 - q - 3. Calculate the remainder when s(-5) is divided by g.
23
Suppose 8*n = -16810 + 17082. What is the remainder when 2922 is divided by n?
32
Suppose -20*o + 280 + 2120 = 0. Let g(a) = 27*a + 3. Let j be g(7). Suppose -8*u + o + j = 0. What is the remainder when u is divided by 10?
9
Let u(g) = -g**2 - 9*g - 5. Suppose -3*f + 47 = -31. What is the remainder when f is divided by u(-2)?
8
Suppose 4*f + 4*q = 172, -6*f + 2*f + 3*q + 158 = 0. Let m be (6*f/2)/((-6)/(-4)). Let h = 208 - m. What is the remainder when h is divided by 16?
14
What is the remainder when 217 is divided by -5 + -1 + 1 - (-15925)/455?
7
Let j = 23290 - 19025. Calculate the remainder when j is divided by 17.
15
Let o(t) = 142*t**2 - 4*t - 1. Calculate the remainder when o(2) is divided by 178.
25
Let u = 32 + 14. Let q = u - 39. Suppose 2*r - q*r = -765. Calculate the remainder when r is divided by 26.
23
Let g(t) = 94*t + 1. Let w be g(1). Let v = w + -89. What is the remainder when 4/v*(-3 - -34)*3 is divided by 23?
16
Let o(i) be the first derivative of i**4/4 + 3*i**3 + 4*i**2 + 11*i - 434. Let l be 1/2 - (-51)/(-6). What is the remainder when 20 is divided by o(l)?
9
Let v = -1194 + 1280. Let o(q) = -5*q - 10. What is the remainder when v is divided by o(-8)?
26
What is the remainder when 2157 is divided by (-6)/9*(-25 + -245)?
177
Let r = -83 - -147. Suppose -m + 22*w - 20*w + 640 = 0, 1279 = 2*m - 3*w. What is the remainder when m is divided by r?
62
Let v(u) = -u**2 + 9*u + 627. What is the remainder when v(-19) is divided by 46?
3
Suppose 5*q - 2*t = 30, -q + 6*t = 2*t - 24. Suppose q*m = 4*w + 136, -4*w = -6*w - 8. What is the remainder when 37 is divided by m?
7
Let z = -131 - -760. Suppose -8*c + z + 19 = 0. What is the remainder when 320 is divided by c?
77
What is the remainder when 2/7*((-73800)/(-48) - 22) is divided by 213?
7
Let l(b) = b**3 - b**2 - 4*b - 2. Let g = 87 - 84. Let c be l(g). Suppose c*v - 3 = v, 5*o = 5*v + 10. What is the remainder when 24 is divided by o?
0
Let q = -100758 + 100942. Suppose -8*i + 3*i = -80. What is the remainder when q is divided by i?
8
Let g(j) = j**2 - 7*j - 15. Let q be g(-2). What is the remainder when 118 is divided by 3 + q*(0 - -4)?
13
Let s = -64 - -120. Let w = 40 + s. Calculate the remainder when 16 is divided by (-2 - 2/(-4))/((-18)/w).
0
Let b = 30 + -18. Let q = 921 - 927. What is the remainder when (-2)/(q - (-96)/18) + 19 is divided by b?
10
Suppose -3*d + 355 - 115 = 0. What is the remainder when 144/336 + 2192/14 is divided by d?
77
Let z be 4 + (0 - 1) - (-1 - 1). Suppose -z*t + 135 = 45. What is the remainder when 65 is divided by t?
11
Suppose -28863 = -298*c + 5080 + 41749. Calculate the remainder when 399 is divided by c.
145
Suppose -3*t = f - 57467, -45*t + 53*t = 2*f + 153236. Calculate the remainder when t is divided by 93.
90
Suppose -60222 - 325278 = -150*l. What is the remainder when 5146 is divided by l?
6
Suppose o - 5*s = 67, -o = 31*s - 33*s - 73. Calculate the remainder when 121 is divided by o.
44
Let m(i) = 2*i**3 + 13*i**2 + 16*i - 5. Let f be m(-4). Suppose 0 = -2*j - 4*q - 7 + 9, -4*j = q - f. What is the remainder when 9 is divided by j?
0
Let q(w) = -w**3 + 5*w**2 + 5*w + 1. Let r be (-8)/10*5/(-2). Let l be 5*((-30)/(-24) + r/(-8)). What is the remainder when q(l) is divided by 8?
2
Suppose 2*w - 4 = -2*z, -3*z + 9*w = 11*w - 9. Calculate the remainder when 53 is divided by z + (-70)/10 + 31.
24
Let b = -662 - -591. Let s = 82 + b. Calculate the remainder when ((-106)/4)/(1/(-2)) is divided by s.
9
Suppose -81*c + 36557 = 40*c + 142*c. Calculate the remainder when 1103 is divided by c.
130
Let p(f) = 4*f**2 - 5*f - 10. Let u be p(5). Suppose -2*t - u = 3*l - 405, 4*l - 3*t = 442. Calculate the remainder when l is divided by 23.
20
Suppose 14*n = -17*n + 868. Suppose -821 + 26 = -53*u. What is the remainder when n is divided by u?
13
Let b = 270 - 264. Suppose 0 = q + y - 17, -8*q + b*q + 4*y = -40. What is the remainder when 67 is divided by q?
13
Suppose 9*x + 6*x - 10989 = -4104. Calculate the remainder when x is divided by 116.
111
Let p(x) = 20*x - 6. Let j = -82 + 241. Calculate the remainder when j is divided by p(3).
51
Let i be ((-2)/4)/(2 + 428/(-216)). Let z(j) = -15*j**3 - 2*j**2 + j + 2. Calculate the remainder when z(-1) is divided by (12/(-10))/(i/90).
2
Suppose 97*k = -722 + 15951. Calculate the remainder when k is divided by 55.
47
Let g = -184 + 189. Suppose 14*f = 17*f + 5*h - 106, 25 = g*h. What is the remainder when 86 is divided by f?
5
What is the remainder when ((-16)/6)/(76/(-3306)) is divided by 74?
42
Let o = 5968 - 5011. Calculate the remainder when o is divided by 109.
85
Suppose -1298 = -7*x + 102. Calculate the remainder when x is divided by 72.
56
Suppose 4*n = 4, -3*z - 3*n = z - 3999. Suppose -19*o + 4397 + z = 0. What is the remainder when o is divided by 7?
4
Let w(k) = k**3 - 45*k**2 + 39*k + 233. Calculate the remainder when 36 is divided by w(44).
10
Calculate the remainder when 303 is divided by ((-2)/(-1))/(48/3720)*(-5 + 6).
148
What is the remainder when 244 is divided by (-13)/(78/66) - -34?
14
Let h be (-1135)/(-35) - 8/(-14). Suppose -4*b - 51 = -3*t, -3*t + h = b - 18. Calculate the remainder when 37 is divided by t.
3
Let c(r) = 7*r**2 - 18*r + 27. What is the remainder when c(10) is divided by 110?
107
Let w(z) = z + 2. Let t(i) = -26*i + 850. What is the remainder when t(30) is divided by w(4)?
4
What is the remainder when 77/(-1232) - 4467/(-48) is divided by 12/20 + (-454)/(-10)?
1
Suppose 1790 = 37*r - 393. What is the remainder when 233 is divided by r?
56
Let i be ((-25)/5 - 5)*2/(-4). Suppose -180 = i*r - 20*r. What is the remainder when 130 is divided by r?
10
Let v = -20013 + 20028. Calculate the remainder when 2390 is divided by v.
5
Let g(i) = -585*i + 2975. Calculate the remainder when 79 is divided by g(5).
29
Suppose -75*v = -91*v + 4256. What is the remainder when 4/2 + 61 + 1 is divided by (-27)/108 - v/(-8)?
31
Suppose 27792 = 2*f - 20*f. Calculate the remainder when f/(-6) - (-6)/9 is divided by 87.
84
Let p(n) = -56*n**2 - 285*n - 14. What is the remainder when 1005 is divided by p(-5)?
4
Suppose -32*m - 220 = -27*m. Let x = m - -64. Let c = 68 + 31. What is the remainder when c is divided by x?
19
Suppose 0 = 5*o - 40*y + 44*y - 456, -7*o + 2*y + 684 = 0. What is the remainder when 167 is divided by o?
71
Let c(k) = -72*k + 1554. Calculate the remainder when 460 is divided by c(20).
4
Let y(n) = 24*n + 32. Let o be y(37). Suppose 37*q = 14*q + o. What is the remainder when 75 is divided by q?
35
What is the remainder when (-4 + 3)*-1822 - -14 is divided by 80?
76
Suppose 0 = 8*z - 266*z + 246 + 2850. Suppose 4*x - 34 = -2*v + 206, 3 = -x. What is the remainder when v is divided by z?
6
Let b = 30883 - 24144. Calculate the remainder when b is divided by 27.
16
Suppose 5*m + 593 = 2*i, m + 372 = 2*i - 193. Calculate the remainder when i is divided by 13.
6
Let w be 30/14 - (-1 + 16/14). Suppose -2*b = -3*q + 158, -w*q