n 10 is divided by j.
1
Let u = 91 + -89. Let y be -17 + 25 + 0 + u. Suppose -9*t - 28 = -y*t. Calculate the remainder when t is divided by 12.
4
Let v = 63 - 59. Let x(p) = v + 8*p - 2*p**3 + 4 + 1 + p**3 + 3*p**2. What is the remainder when 152 is divided by x(-3)?
35
Let b = 7416 + -4945. What is the remainder when b is divided by 118?
111
Suppose 0 = -6*a - 33 + 93. Calculate the remainder when 33 is divided by a.
3
Let r be (4/(-9))/((-5)/(-120))*3. Let h = -28 - r. Suppose 5*k - m - 63 = 0, k - 2*k - h*m = 0. Calculate the remainder when 22 is divided by k.
10
Let g(p) = -2*p**3 - 8*p**2 - 9*p - 1. Suppose f + 4*u + 8 = 0, 0 = 4*f + 3*u + 26 - 7. Calculate the remainder when 277 is divided by g(f).
32
Let k(r) = -r**3 - 16*r**2 + 52*r - 6. Calculate the remainder when (-1066)/(-11 + 4 - -6) is divided by k(-19).
87
Suppose -4 = 4*f, 3*p = -f + 95 + 57. What is the remainder when 7699 is divided by p?
49
Suppose -145*f - 130826 = 218*f - 598007. What is the remainder when f is divided by 68?
63
Calculate the remainder when 321 is divided by (-31)/(210/(-300) + 1/5).
11
What is the remainder when 1051 is divided by (-32 - 2)*(-39)/78?
14
Let i be (13/(-26))/((-1)/4). Let f(y) = 222*y + 998. What is the remainder when f(-4) is divided by (29/(-3 + i))/(-1)?
23
Let l(j) = 2*j**3 + 93*j**2 - 403*j + 105. What is the remainder when l(-50) is divided by 92?
87
Suppose -56 = 60*g - 62*g. Suppose 5*f = 10, 0*d + 4*f = 2*d - g. Calculate the remainder when 69 is divided by d.
15
Let o(g) = g**3 - 6*g**2 + 8. Let t be o(9). Suppose 6*j = -59 + t. Calculate the remainder when 415 is divided by j.
31
Suppose -15*n = -4526 + 1976. What is the remainder when 1170 is divided by n?
150
Let a(o) = -526*o**2 + 5*o - 4. Let p be a(1). Let g = p + 902. What is the remainder when g is divided by 63?
62
Let l = -5569 - -5644. Calculate the remainder when 173 is divided by l.
23
Suppose 2*w - 110 = -2*n, -n - w + 65 = 2*w. Calculate the remainder when (n/(-15))/((-2)/33) is divided by 26/(-39)*(1/(-1) + -20).
13
Suppose 3*n = -4*q + 27, 5*n - 5 = 5*q + n. Suppose t - 11*y - 38 = -10*y, -12 = q*y. Suppose -29*f - 120 = -t*f. What is the remainder when f is divided by 14?
10
Let n(p) = 174 - 111 + 83 + 8*p. Calculate the remainder when n(-7) is divided by 21.
6
Let n = -143 - -156. Let t = -210 - -271. What is the remainder when t is divided by n?
9
Suppose 4*a - 50 = -a. Let v(s) = 4*s + 99. Let l be v(-34). Let f = l + 64. Calculate the remainder when f is divided by a.
7
Let f = -33295 + 33795. Calculate the remainder when f is divided by 305.
195
Let l(k) = -k**3 + 6*k**2 - 7*k + 6. Let j be l(4). Suppose i - j = 6. Let w = 158385 - 158331. What is the remainder when w is divided by i?
6
Suppose 0 = -3*m + 12, -3*q - m = m + 1033. Let p = q - -380. What is the remainder when 394 is divided by p?
31
Let r be -14*(1 - 1/(-2)). Let s be (-1985)/(-30) + 2/(1 + -13). Let p = s + r. Calculate the remainder when p is divided by 24.
21
Let c be 6 - (0 + -3 + -2). Suppose c*h - 162 - 652 = 0. Calculate the remainder when h is divided by 8.
2
Let u be 1 - ((1 - 1) + -31). Suppose 2*b + 4*s = 209 - 161, -3*s = -b + 4. Suppose 31*t = u*t - b. What is the remainder when 93 is divided by t?
13
Suppose -3 = -3*l + 6, 2*f - 5*l = -5. Let h be (-80)/24*(f - 2). What is the remainder when 13 is divided by ((-6)/h)/((-1)/(-5))?
1
Suppose d - w - 10 = -d, -2*w = -3*d + 17. Suppose 6*x - 4*x = u - 29, 0 = 2*x - 2*u + 34. What is the remainder when 18*((-28)/x)/7 is divided by d?
0
Suppose -g - 150 = -73*s + 72*s, 0 = -3*g - 12. Calculate the remainder when s is divided by 68.
10
Suppose -146*m = -132*m + 7168. Let d = m - -549. Calculate the remainder when d is divided by 31.
6
Let c = 74 - 67. Let w(j) = j**3 - 7*j**2 + 4*j - 10. What is the remainder when (1/2)/((-2)/(-196)) is divided by w(c)?
13
What is the remainder when 1441 is divided by (-1246)/(-12) + (-45)/54?
102
Let v = -14968 - -15032. What is the remainder when 788 is divided by v?
20
Suppose -2*s = -3*s + 18. Let c be (-353)/9 + 4/s. Let f = 0 - c. What is the remainder when 75 is divided by f?
36
Suppose 15*z = -3*z + 5580. Let b = -290 + z. What is the remainder when 214 is divided by b?
14
Suppose -7*w + 6*w + 3*d - 3 = 0, -2 = -2*d. Suppose -2*a = 5*l - 6, w = -4*l + 2*a + 3*a + 18. What is the remainder when 90 is divided by l?
0
Let o(u) = 4*u**2 - 55*u + 258. Calculate the remainder when o(5) is divided by (1*4)/((-4)/(-6)).
5
Let u = -28514 - -28518. Suppose 9 = 2*o - m + 1, m - 4 = -4*o. Calculate the remainder when 2/(-4) + 11/o is divided by u.
1
Suppose 2*a - 179 = 14*o - 13*o, 2*a - 3*o - 181 = 0. Calculate the remainder when a is divided by 1*(-4)/20 - 226/(-5).
44
Let f = 1581 + -1121. What is the remainder when f is divided by 11?
9
Let b = 100 + -104. Calculate the remainder when 205 - (-32)/b - 2*2 is divided by 39.
37
Let j(h) = 44*h**2 + 10*h - 8. Let p be j(2). Let k = p - 166. Calculate the remainder when 216 is divided by k.
18
Suppose 2*s = -i + 3, -s = -i - 3 - 3. What is the remainder when 212/(-10)*(-30)/(i + 6) is divided by 72?
68
Suppose 2096 = 3*c - 5*z, -2351 = -5*c + 2*z + 1136. Suppose c*m = 689*m + 336. Calculate the remainder when m is divided by 26.
16
What is the remainder when 1366 + ((-2610)/(-203) - 12/14) is divided by 57?
10
Suppose 0 = -5*u - 0*w + 2*w - 215, 4*w = 2*u + 70. Let o = u + 84. What is the remainder when o is divided by (-12)/6 + 15 + 1?
11
Let m(d) = -30*d**2 + 1087*d - 119. Calculate the remainder when m(36) is divided by 129.
4
Let g(t) = -t**2 - 109*t - 2044. What is the remainder when g(-80) is divided by 263?
13
Let y be (-62520)/90 + 3/(-9). Let t = 705 + y. What is the remainder when 97 is divided by t?
7
Suppose -123 = t + 3*v - 444, -3*t + 3*v = -963. Let z = 630 - t. Let l = z + -216. What is the remainder when l is divided by 24?
21
Let k = 6629 - 6445. Calculate the remainder when 20421 is divided by k.
181
What is the remainder when (-1)/(((-120)/(-124))/1 + -1) is divided by -4 - (-52)/14 - (-1908)/63?
1
Let y(z) be the first derivative of -15*z**2/2 + 3*z + 217. What is the remainder when 186 is divided by y(-1)?
6
Let q be 2/(((-8)/6)/((-9228)/6)). Suppose -909 - q = -16*m. Calculate the remainder when m is divided by 52.
45
Let q(y) = -4*y**3 - 65*y**2 + 51*y + 17. What is the remainder when 1300 is divided by q(-17)?
8
Let n(k) = 88*k**2 + 1423*k - 27. What is the remainder when n(-18) is divided by 180?
171
Suppose -2*a + 10 = i, 0 = -2*i - 37*a + 36*a + 14. Suppose i*s - 92 - 4 = 0. Calculate the remainder when 171 is divided by s.
11
Suppose 0 = -18*f - 20*f + 40478 - 5746. What is the remainder when f is divided by 15?
14
Suppose 2*l = -2*f - 3*f + 35, 0 = 5*f + 4*l - 35. What is the remainder when 3420 is divided by f?
4
Suppose -3*d = 46 - 292. What is the remainder when d is divided by -6 + -7 + (47 - (-55)/(-11))?
24
Suppose -w = 5*i - 289, 537*i = -4*w + 536*i + 1213. What is the remainder when w is divided by 105?
94
Let n be -21*((-72)/42)/2. Suppose 646 = n*y + 16*y. Calculate the remainder when 262 is divided by y.
15
Let k = 3939 - 807. What is the remainder when k is divided by 55?
52
Let c(w) = 5*w + 16. Let p(o) = -2. Let j(k) = -2*c(k) - 10*p(k). Let q = 9 - 14. What is the remainder when 74 is divided by j(q)?
36
Let r = 52 + -35. Let x(s) = 5*s**2 + 140*s - 186. What is the remainder when x(-30) is divided by r?
12
Let z(k) = -26*k - 208. Let a be z(-8). What is the remainder when 185 is divided by (2/(-4) - a)*(-880)/40?
9
Suppose 438 + 1284 = -7*j + 48*j. Calculate the remainder when j is divided by (-348)/(-16) + (-2)/(-8).
20
Suppose 2*u + 5*v - 46 = 0, u + 3*u - v = 70. Suppose -2*x = -7*x + 445. What is the remainder when x is divided by u?
17
Let c be (-12)/3 - (-4 + -2) - -3. Suppose c*q = -36*q + 1927. What is the remainder when 131 is divided by q?
37
Suppose 0 = 566*h - 562*h + p - 55, -3*h + 64 = 4*p. What is the remainder when 8615 is divided by h?
11
Let k(b) = 13*b - 13. Let u(a) = -a**3 + 9*a**2 + a - 7. Suppose 45 = 8*f - 27. Let x be u(f). What is the remainder when 23 is divided by k(x)?
10
Suppose o + 0 = 18. Let t = -2906 + 2948. Calculate the remainder when t is divided by o.
6
Let x(c) = c**3 