remainder when b is divided by 12.
6
Suppose 9 = 4*u - 91. Let v = -6431 + 6502. Calculate the remainder when v is divided by u.
21
Let f be 4488/119 + (-4)/(-14). Suppose -10 = -6*u + f. Suppose -u*j = -4*j - 100. Calculate the remainder when j is divided by 4.
1
Calculate the remainder when 407 is divided by 3*5/(-30) - ((-837)/18 + 0).
39
Let q = 131 + -258. Let h = q + 164. What is the remainder when 109 is divided by h?
35
Let d(h) = 25*h + 3565. What is the remainder when d(-29) is divided by 285?
275
Let t be -4*(-1)/2 + (-5 - -21). What is the remainder when 59 is divided by ((-12)/t)/(2/(-66))?
15
Let x(g) = -g**3 - 9*g**2 - g - 9. Let f be x(-9). Suppose -30 = -25*y + 19*y. Suppose j + y*j - 300 = f. Calculate the remainder when j is divided by 22.
6
Let o(l) be the second derivative of -2*l**3/3 + 17*l**2/2 - 10*l. Let d be o(-7). Suppose -5*n + d + 15 = 0. Calculate the remainder when 45 is divided by n.
9
Let b = -956 + 1011. What is the remainder when b is divided by 44?
11
Let u = 79 - 77. Suppose 42 = -u*s + 88. Suppose 0 = 2*n + 3*q + q - 68, q - 1 = 0. What is the remainder when n is divided by s?
9
Let y(d) = -11*d**2 - 6*d + 7. Let t be y(2). Let o = 1 - t. What is the remainder when 297 is divided by o?
47
Let j = -9760 + 14188. What is the remainder when j/48 - 2/8 is divided by 61?
31
Suppose -1568 + 8640 = 46*f + 6*f. Let l(n) = 4*n**2 - n - 5. What is the remainder when f is divided by l(3)?
24
Suppose -24805 + 7975 = -34*i + 53652. What is the remainder when i is divided by 21?
15
Let z be 15*(4/18 - 1/(-9)). Suppose 0 = 4*a - 5*c - 145, -3*c + z*c + 142 = 4*a. Calculate the remainder when 383 is divided by a.
33
Let s be (0 + -1)*4 - -58. Let f be (7 - -7)/((-4)/s). Let m = 348 + f. What is the remainder when m is divided by 40?
39
Suppose j - 42 = -38. Let o be -34*j/(0 + -8). Let m = o - 16. Calculate the remainder when 18 is divided by m.
0
Let h = 138 + -32. Suppose -l - 4*p = 24 - h, p = -3. What is the remainder when l is divided by 36?
22
Suppose -7591*b + 7583*b = -18336. What is the remainder when b is divided by 44?
4
Let l = 26652 - 26585. Calculate the remainder when 468 is divided by l.
66
Suppose 0 = 5*m + 20, 0*b = 2*b - 2*m - 16. What is the remainder when 119 is divided by 148/b - -6*2/3?
37
Let f(k) be the third derivative of k**5/60 - 5*k**4/6 + 107*k**3/6 + 4*k**2 - 20*k. What is the remainder when 49 is divided by f(7)?
1
Suppose 14 = -19*q + 90. Let l(b) = 54*b**2 - 1. Calculate the remainder when l(-1) is divided by q.
1
Suppose 294 = 1593*t - 1579*t. Calculate the remainder when (99/(-12))/(6/(-304)) is divided by t.
19
Let l(c) = 194*c**2 - 503*c - 1010. Calculate the remainder when l(-2) is divided by 6.
4
Let i = -163 - -155. Let k(c) = c**2 + 5*c + 23. Suppose -2*y - 4*j + 288 = 0, 31 = y + j - 111. What is the remainder when y is divided by k(i)?
46
Let v(d) = -d**2 + 8*d + 25. Suppose 0*i + 20 = 2*i. Let p be v(i). Suppose 4*t - p*t = -11. Calculate the remainder when 13 is divided by t.
2
Suppose 9*c - 13 = -58. Let w(z) = -z**3 - 3*z**2 + 22. Calculate the remainder when w(c) is divided by 37.
35
Suppose -1388*y = -1334*y - 10314. Calculate the remainder when 202 is divided by y.
11
Let s(h) = -3 - 28 + 8 - 90 + 0*h**2 + 5*h + 4*h**2. What is the remainder when s(8) is divided by 11?
7
What is the remainder when 2722 is divided by ((-161170)/1065)/(2/(-3))?
225
Let t = 115 + -89. Suppose 4*g = -3*a - 44, 0 = -0*g - g - 3*a - 2. Calculate the remainder when 4/g - 3787/(-49) is divided by t.
25
Let q = -15246 + 15278. Calculate the remainder when 3192 is divided by q.
24
Let u(o) = 4*o**2 - 4*o + 3 + 3*o - o. Suppose 385*q = 18144 - 6939 + 5735. What is the remainder when q is divided by u(2)?
14
Let r = 165 - 150. Suppose r*s = 8*s + 896. Calculate the remainder when s is divided by 36.
20
Let s = -2484 + 3342. What is the remainder when s is divided by 80?
58
Suppose -341 = -4*y - 5*a, -24*y - 3*a = -21*y - 252. Calculate the remainder when 256 is divided by y.
19
Let d be 1383/102*2 + (-60)/510. Suppose -5*j - v + 135 = 0, -j + d = v + 3*v. Calculate the remainder when 53 is divided by j.
26
Suppose -o = -f - 152, -8*f + 11*f + 472 = -o. Suppose m = -4*m - 385. Let a = m - f. What is the remainder when a is divided by 10?
9
Let m = 68 + -65. Suppose 3*r = -4*n + 1387, 10*n = 5*n + m*r + 1727. What is the remainder when n is divided by 27?
22
Suppose -36 = -2*x - 4*c, 50 + 31 = 2*x - 5*c. Let o = x + -23. Suppose o*w = 4*p + 97, 4*p = -w + 2*p + 11. What is the remainder when w is divided by 4?
1
Let r be 231/42 - (-2)/(-4). Suppose r*z + 3*a - 44 = 22, 5*z - a = 58. What is the remainder when 66 is divided by z?
6
Let m = -67 - -69. What is the remainder when 19 is divided by 11 - (31 - 25 - 4/m)?
5
Suppose -687*n + 686*n = -15. Calculate the remainder when 6104 is divided by n.
14
Let u be (-4)/(-1)*(15 - 11) + 4. Suppose 33 = 2*a - b + u, -3*b - 27 = -3*a. Let i(g) = g**2 - 2*g + 1. Calculate the remainder when i(4) is divided by a.
1
Suppose 1828*b = 1831*b - 267. What is the remainder when 5071 is divided by b?
87
Suppose 2*b + 2346 = 2418. Calculate the remainder when 572 is divided by b.
32
Suppose 3*f - 1027 = -78 + 62. What is the remainder when f is divided by 35?
22
Suppose 5*a + 304 = -r + 1493, -3*a - r = -715. Let i(t) = -4*t**2 + 33*t + 4. What is the remainder when a is divided by i(8)?
9
Let j(m) = 881*m**2 - 120*m - 118. What is the remainder when 884 is divided by j(-1)?
1
Let k be ((132/8)/3)/((-2)/(-4)). Suppose -i - 29 = -m, -5*i = 4*m - 163 + k. Let f = 21 + -3. Calculate the remainder when m is divided by f.
15
Let z = -54 + 33. Let v = 55 + 2. Calculate the remainder when v is divided by (z/42)/(1/(-60) - 0).
27
Let a(q) = -538*q - 2685. What is the remainder when 8909 is divided by a(-5)?
4
Calculate the remainder when 96 is divided by (4588/(-372))/((-1)/6).
22
Calculate the remainder when 7422 is divided by (23/(-5) + -128 + 121)*(-3 - 7).
114
Suppose -41*y = -10*y - 527. Calculate the remainder when 200 is divided by y.
13
Let l(v) = 2*v**2 + 14*v + 39. Let p = -41 + 105. Suppose 0 = j + 4*q - 21, j - 3*q - p = -j. Calculate the remainder when l(-8) is divided by j.
26
Let p be 948/(-40)*-26 - 19/95. Let d = p - 569. Suppose 3*w - 4*c - c = 68, -5*w - 3*c + 68 = 0. What is the remainder when d is divided by w?
15
Suppose 270 + 524 - 101 = 21*j. Calculate the remainder when 1235 is divided by j.
14
Suppose 178*c + 5*c - 7668 = 41*c. Calculate the remainder when 536 is divided by c.
50
Let n(z) = -62*z + 5. Let h(i) = -185*i + 15. Let c(d) = -6*h(d) + 17*n(d). Let a be c(1). Let p = a - 42. Calculate the remainder when 16 is divided by p.
7
Let r = 42 - 39. Suppose 2*x - 150 = 2*j, -r*x - 5*j = -0*j - 201. Suppose -98 = -3*m - 4*h + 114, m - x = -h. What is the remainder when m is divided by 26?
24
Let j(m) = m**2 + 2*m - 67. Let c = -125 + 133. Calculate the remainder when 920 is divided by j(c).
10
Let r(b) = 537*b + 4360. Calculate the remainder when r(-4) is divided by 2211.
1
Suppose 0 = -4*k - 4*f + 188, -5*k - 3*f + 136 = -89. Let t be 2/11 - (1680/(-77) + 4). What is the remainder when 65 is divided by (k - t) + 2/(-2)?
19
Let m(b) = 13 + 0 + b - 8 + 4*b. Calculate the remainder when m(19) is divided by 27.
19
Let f(o) = 0*o - 13 - 2*o - 8*o + 2*o. Let g be f(-9). Suppose -d + 24 = -5*l, 3*d + 0*d - 2*l = g. Calculate the remainder when 33 is divided by d.
14
Let h(y) = y**3 - 22*y**2 - 113*y - 407. What is the remainder when 1078 is divided by h(27)?
143
Suppose -480*i = -474*i - 456. Suppose 4*t - 32 - i = 0. Calculate the remainder when 100 is divided by t.
19
Let u(h) = 1 - 9 - h**3 - 48*h**2 + 44*h**2 - 3*h - 2. Let n be u(-4). What is the remainder when 24/n + (-1 + -3)/(-4) is divided by 9?
4
Suppose 0 = t - 14 - 2. Suppose -n - 315 = 12*q - 17*q, 2*q - 69 = -11*n. Calculate the remainder when q is divided by t.
14
Suppose 0 = -3*f - 0*f + 15. Suppose -5*o = -2*n + 2 - 27, 0 = -f*o - 3*n. Let l(g) = 10*g**2 + 377*g + 377. Calculate the remainder when l(-1) is divided by o.
1
Suppose -2*n - 113 = 5*z, -55 = n - 0*z + 4*z. Let j(u) = 68*u**3 + 2*u - 1. Let t be j(1). Let b = t + n. What is the remainder when 28 is divided by b?
8
Suppose 0 =