*w = -909 + 936, -3 = -a - 2*w. Calculate the remainder when 603 is divided by a.
3
Suppose -141*p + 247 = -122*p. Let n(a) = -21*a + 303. What is the remainder when n(p) is divided by 23?
7
Suppose -1057*d = -1049*d - 8000. What is the remainder when d is divided by 91?
90
Let j be 28/21 - (-1432)/6. Suppose 0 = -t + j. What is the remainder when 8 is divided by t/39 + (-12)/78?
2
Suppose -1158 - 90 = -52*r. Calculate the remainder when 286 is divided by r.
22
Let n(m) = -m**2 + 16*m - 51. Let v = -112 - -122. What is the remainder when 42 is divided by n(v)?
6
Suppose -5*j - 2*b + 0*b = 1040, 0 = 5*j - 2*b + 1040. Calculate the remainder when (j/24)/((-4)/54) is divided by 8.
5
Suppose -m - f + 66 = 0, -7*m + 305 = 5*f - 167. What is the remainder when m is divided by (3/2)/(1/((-128)/(-12)))?
7
Let m(j) = -j**3 + 204*j**2 + 4245*j - 1764. Calculate the remainder when ((-115)/(-1))/((-1)/(-1)) is divided by m(223).
15
Suppose -105*t + 101*t = -4*i + 56, 0 = -5*i - 3*t + 22. Calculate the remainder when 47 is divided by i.
7
Suppose 5*z + 25 = 0, -8*b - 3*z + 8933 = -4*b. What is the remainder when b is divided by 83?
79
Suppose 2*u = -2*j - 26, 0*u + 4*j + 4 = -u. Let y be (89/5)/(2/(-10)). Let f = u - y. Calculate the remainder when f is divided by 26.
21
Suppose 0 = -k + 28 - 1. Let b be ((-18)/27)/((-57)/(-63) - 1). Suppose b*w = 115 - 3. Calculate the remainder when k is divided by w.
11
Let r = 952 + -484. Let i = 483 - r. What is the remainder when 89 is divided by i?
14
Let a(p) = -p**3 + 10*p**2 + 8*p - 32. Let f be a(5). Suppose 82 = -3*x + 5*x + 2*l, -3*x + f = -2*l. Calculate the remainder when x is divided by 11.
10
Let r(o) be the first derivative of -25*o**2 - 31*o + 296. What is the remainder when r(-5) is divided by 44?
43
Suppose u + 4*p - 743 = 37, u = -5*p + 781. What is the remainder when 781 is divided by u?
5
Let q = 36 - 45. Let j(k) = 2*k**2 + 17*k + 2. Calculate the remainder when 63 is divided by j(q).
8
Suppose -j + 36 = 4*j + 4*z, -4*j - 2*z + 24 = 0. Let i(m) = -m**3 + 6*m**2 - 2*m + 5. Calculate the remainder when 81 is divided by i(j).
23
Suppose 260 = 74*k + 15*k - 7. What is the remainder when 1533 is divided by k?
0
Calculate the remainder when 827 is divided by 3/(12 + 7944/(-664)).
80
Suppose 2*s + q = 22, -3*q = s - 0 - 1. Suppose s*r + 0 = 104. Suppose r*c - 250 = 870. What is the remainder when c is divided by 36?
32
Suppose 2*f + 24 = -6*f. Calculate the remainder when 11 - -78 - (1 + -1 - f) is divided by 45.
41
Let h = -4726 + 4771. Let i(q) = q - 3*q**3 + 4*q**3 + q**2 + 16 - 2*q**3. What is the remainder when h is divided by i(0)?
13
Let d = 8476 - 8446. Let i = -2 + 2. Suppose -2*y - 3*y + 590 = i. What is the remainder when y is divided by d?
28
Suppose -l + y - 5 = -3*y, 0 = -2*l + 3*y. What is the remainder when 617 is divided by l + -3 + 6 + 56?
59
Calculate the remainder when (-91)/(-182)*(-1290)/(-1) is divided by 14.
1
Suppose 2*p - 586 = 68*v - 66*v, -p - 2*v = -290. Calculate the remainder when p is divided by 38.
26
Suppose -1294*x = -1172*x - 11346. What is the remainder when 173 is divided by x?
80
Calculate the remainder when (-1109976)/(-532)*8/6 - 14/(-133) is divided by 28.
10
Let f = -62 + 67. Suppose 4*z = -f*p - 5 + 74, p - z = 12. Let m = 56 + -5. What is the remainder when m is divided by p?
12
Let m = 8662 + -8513. Calculate the remainder when 1935 is divided by m.
147
Let r = -932 - -935. Calculate the remainder when 3 is divided by r.
0
Let y = -17458 - -17760. Calculate the remainder when 948 is divided by y.
42
Suppose -5*y - 42645 = -5*v, 5*v - 42642 = -59*y + 63*y. What is the remainder when v is divided by 16?
14
Suppose -824692 - 799892 = -130*n + 7*n. What is the remainder when n is divided by 119?
118
Let j(i) = -69*i**2 - 74*i**2 - i + 13 + 144*i**2. Let h be j(7). Suppose -3*a - h = -193. What is the remainder when a is divided by 12?
10
Suppose 5*j = -2*u + 25, -4*j - 4 = -3*u + 22. What is the remainder when 3027 is divided by u?
7
Suppose 4*q - 669 + 109 = -2*y, 2*q + 276 = y. Suppose y = 6*b - 64. Calculate the remainder when b is divided by 30.
27
Let t = 4203 - 4185. What is the remainder when 670/30 - (-2)/(-6) is divided by t?
4
Suppose 31*m = -5*l + 26*m + 120, -l + m + 18 = 0. Calculate the remainder when (-2 - -1)/(1/(-29)) is divided by l.
8
Let p = -622 + 615. Let v(m) = 11*m**2 + 6*m + 21. What is the remainder when v(p) is divided by 20?
18
Suppose 2*d - 45 = -4*w - 1, -2*d - 46 = -5*w. Suppose l + 2195 = 4*y, -8*l + w*l = 3*y - 1645. Calculate the remainder when y is divided by 55.
54
Suppose -5*r + 46 = z + 18, 5*z - 62 = r. Let g(o) = -553*o + 4459. Calculate the remainder when g(8) is divided by z.
9
Let h(k) = -k**2 + 18*k - 33. Let l be h(7). Suppose 2*s - 5*w = l, 0*w + 16 = s - 4*w. What is the remainder when s is divided by 5?
2
Let l be 6/(-4)*-14*27/189. Let b(y) = y**2 - y. Let a be b(4). Suppose 56 = l*t + 2*k - 103, 4*k = -a. What is the remainder when t is divided by 14?
13
Let p = 361 + -358. Suppose 0 = 5*f - 5*d + 186 - 561, -p*d - 12 = 0. Suppose 4*w - 3*w + 5*m = 27, 5*w - m = 57. What is the remainder when f is divided by w?
11
Let p be (1/(-2) - (-294)/28)*1. Suppose 6*y - p*y - 5*m + 260 = 0, 4*m = 4*y - 260. Calculate the remainder when 137 is divided by y.
7
Let u(t) = -2*t**3 - 8*t**2 - 23*t - 90. Let i = 49 - 18. Calculate the remainder when i is divided by u(-4).
1
Suppose -2*l = 3*l - 165. Suppose 9*h - 1261 = -4*h. Calculate the remainder when h is divided by l.
31
Calculate the remainder when -1 - 170/15*-216 is divided by 102.
101
Let u(x) = 6*x**2 + 4*x + 10. Let i be (80/15 - 4)/(6/(-9)). Let r be -2 + 1 - ((-1)/1 - i). Calculate the remainder when 49 is divided by u(r).
23
Suppose u - 108 + 88 = 0. Suppose u = -17*q + 21*q. Calculate the remainder when q is divided by 3.
2
Let n = -363 - -704. Suppose 10*o - 9*o - n = 0. Suppose -9*h + 190 = -o. Calculate the remainder when h is divided by 20.
19
Suppose p + 507*z - 208 = 505*z, 3*z = -3*p + 624. Calculate the remainder when 562 is divided by p.
146
Let x = 13 - -3. Let g(o) = -1537*o**3 + 3*o + 6*o + 1535*o**3 - 3*o**2 + 16. What is the remainder when g(-4) is divided by x?
12
Let d = 108 - 79. Let y = -23 + 68. Suppose 5*g + y = 8*g. What is the remainder when d is divided by g?
14
Let g(n) = n**2 + 8. Let x(i) be the first derivative of -i**3/3 - 9*i**2/2 + 16*i + 1. Let d be x(-11). What is the remainder when g(d) is divided by 15?
14
Suppose -20 = -5*k, 138 = -4*s + 3*k + 150. Suppose 3*m = -m + 5*q + 184, m + 4*q - 25 = 0. What is the remainder when m is divided by s?
5
Suppose -26*v + 1632 = 4*j - 22*v, -2*v + 2034 = 5*j. What is the remainder when 1222 is divided by j?
4
Suppose 44*u - 2046 = 14190. What is the remainder when u is divided by 118?
15
Let s(g) = 12*g + 1. Let r = -143699 + 143710. What is the remainder when s(6) is divided by r?
7
What is the remainder when 4/((-48)/91068)*-1 is divided by 69?
68
Suppose 0*y + 3*y - 64 = -4*n, 3*n - 55 = -4*y. Let u(g) = -51*g**2 + 2095*g - 74. Calculate the remainder when u(41) is divided by n.
12
Let s = 52 + -2. Calculate the remainder when 459 is divided by s.
9
Suppose -448 = -0*i - 2*i. What is the remainder when i is divided by -6 - (-1225)/15 - (1 - 1/3)?
74
Suppose 0 = 2*b - 2*k - 224, 553 - 1046 = -4*b - 5*k. What is the remainder when b is divided by 15?
12
Let f(i) = 19*i - 3. Suppose -204 = 25*s - 979. Suppose 28*z = s*z - 21. Calculate the remainder when f(3) is divided by z.
5
What is the remainder when 1439 is divided by (15/(-39))/5 + 11865/455?
9
Suppose -12*b - 217 = 179. Let u = 6 + -19. Let p = u - b. What is the remainder when p is divided by 8?
4
Let n = 32 + -22. Let z(g) = 6*g + 87. Let v be z(-14). Let p(d) = 2*d**3 - 2*d**2 - 5*d + 16. What is the remainder when p(v) is divided by n?
7
Let g(i) = 6*i**2 + 2*i - 9. Suppose -2*w - q + 74 = 0, -5*q = 206*w - 205*w - 10. What is the remainder when g(-8) is divided by w?
39
Suppose -16*s + 52324 = 10372. What is the remainder when s is divided by 36?
30
Let t(l) = 3*l**2 - 6*l + 2. What is the remainder when (-2271)/(-30) - -1*3/10 is divided by t(4)?
24
Let i = -822 + 3098. What is the remainder when i is divided by 99?
98
Suppose 