o.
40
Let i = -147474 - -147488. Let x(y) = 42*y. Calculate the remainder when x(1) is divided by i.
0
Let x(f) = -f - 8. Let m(y) = y**2 + 13*y - 28. Let h be m(-14). What is the remainder when (-4 - 16)/((-15)/9 + 1) is divided by x(h)?
0
Let t(m) = 15*m**2 + m + 1. Suppose 2*z - 8 = 5*p + 5, -17 = p - 4*z. What is the remainder when 284 is divided by t(p)?
14
Suppose -x - 54 = -710. Suppose 0 = -6*t + x - 140. What is the remainder when t is divided by 29?
28
Let f(b) = -2*b**3 + b**2 - 1. Let k be f(-2). Let w = -28090 + 28116. Suppose k*q = w*q - 63. Calculate the remainder when 42 is divided by q.
6
Let x(m) = -3*m**3 - 30*m**2 - 7*m - 13. Suppose 10 = s + 4*y, 2*y - 6 = -2*s - 16. Calculate the remainder when 282 is divided by x(s).
54
Let y(u) = 3*u**3 - 34*u**2 - 3*u + 7. Let o(j) = -j**3 + 11*j**2 + 2*j - 2. Let d(m) = 17*o(m) + 6*y(m). What is the remainder when 31 is divided by d(16)?
7
Suppose -8 = y - 2*y + 5*n, -3*n = 3*y + 12. Let f(g) = -3*g**3 + 3*g**2 + 2*g + 3. Let s(a) = -11*a - 69. What is the remainder when f(y) is divided by s(-8)?
16
Let l = 382 - -46. Let g = l + -299. Let w = 23 + 10. What is the remainder when g is divided by w?
30
Let v(k) = -k**3 - k**2 + 4. Let u be v(0). Suppose -h + 204 = -4*h - r, -u*r = 4*h + 264. Let d = h + 145. What is the remainder when d is divided by 13?
11
Suppose -4*n + n = 2*g - 43, 2*n - 77 = -3*g. Let r(k) = 14*k**3 - 55*k**2 - 10*k + 41. What is the remainder when g is divided by r(4)?
12
Suppose -22 = 2*k - p, -k + 2*p + 9 - 20 = 0. Let d(y) = y**3 + 13*y**2 + 14*y - 17. Calculate the remainder when 141 is divided by d(k).
70
Suppose 2*k - 51470 = 3*t, 2*t - 25721 = 9*k - 10*k. What is the remainder when k is divided by 155?
154
Suppose 20*n = -7*n - 23058. What is the remainder when 58 is divided by (-2)/9*-3 + n/(-42)?
16
Let o(j) = j + 1. Let s be o(-1). Suppose -3*k + 5*k - 22 = 0. Let r = k - s. Calculate the remainder when 40 is divided by r.
7
Suppose 1 = h - 11. Let z(n) = 153*n - 6537. What is the remainder when z(43) is divided by h?
6
Suppose 2*b - 5*t + 6 = 0, 0 = 5*b - 10*b - 3*t + 16. Suppose 0*f = -3*c + 5*f + 85, 2 = b*f. Calculate the remainder when 177 is divided by c.
27
Suppose 3*r + 9*b - 4*b = -3377, -r = 2*b + 1124. Calculate the remainder when ((r/35)/(-9))/(2/195) is divided by 17.
11
Let n = -15413 - -15439. Calculate the remainder when 4798 is divided by n.
14
What is the remainder when 25498/342 + -3 + (-31)/(-9) is divided by 31?
13
What is the remainder when 167 is divided by (-6)/((-5)/(-15) + (-5)/(-450)*-57)?
7
Calculate the remainder when 984 + 14*36/315*5 is divided by 47.
5
Let b be 816/54 - (-2)/(-18). Calculate the remainder when (80/b)/(-4)*189/(-6) is divided by (-12)/42 + (-214)/(-14).
12
Suppose 0 = 12*z - 399 + 75. Suppose -f = -61 - z. What is the remainder when f is divided by 30?
28
Suppose 73 = k + 79. Calculate the remainder when (4 + (k - -3))/((-3)/(-474)) is divided by 41.
35
Let m(t) = -t**3 - 28*t**2 + 29*t + 46. Let s = -1617 - -1588. Suppose -2*o + 3*w + 261 = 2, 4*w - 431 = -3*o. What is the remainder when o is divided by m(s)?
45
Suppose 93 = -4*m + 185. Calculate the remainder when 1 + (-5 - -64) - 7 is divided by m.
7
Suppose 9*y = 6*y + 54. What is the remainder when 294 is divided by y?
6
Calculate the remainder when (-364)/65*-20 - (-8 - -1) is divided by 52.
15
Let x = 224 - 232. Suppose -5*t = -4*c + 327, -t = 2*c - 76 - 91. Calculate the remainder when c is divided by (118 + x)*(-10)/(-25).
39
Let p = -46 + 55. Let m = 1001 + -949. Calculate the remainder when m is divided by p.
7
Suppose 55*q = 52*q + 351. Suppose -11*v - 2*v + q = 0. Let d = v - -29. Calculate the remainder when d is divided by 5.
3
Let w = -13825 - -13909. Let m = 354 + -192. Calculate the remainder when m is divided by w.
78
Let w be 33 + 2 + (-15)/(-5). Let a = -18 + w. What is the remainder when -3*(-1)/3*97 is divided by a?
17
Suppose 404*i + 42 = 397*i. What is the remainder when ((-9)/i)/(18/2196) is divided by 23?
22
Let w(x) = 5*x**2 + 2*x - 229. Let k(q) = 2*q**2 + 3*q - 1. Let v(i) = 2*k(i) - w(i). What is the remainder when v(15) is divided by 5?
2
Let i(w) = w + 20. Let s be i(-18). Suppose s*m + 10 = 4. What is the remainder when 29 is divided by m/12 + 343/28?
5
Suppose 23*c - 13648 + 2608 = 0. Suppose 64*y - 59*y = c. Calculate the remainder when y is divided by 13.
5
Calculate the remainder when 1195 is divided by (-52)/(-1) - (65 - 65).
51
Suppose -17*k = -18*k + 361. Suppose 360*q = k*q - 3. Calculate the remainder when q is divided by 2.
1
Let a = -9270 + 9843. What is the remainder when a is divided by 328?
245
Let f = 117 + -117. Suppose -21*a - 3*a + 6576 = f. What is the remainder when a is divided by 23?
21
Let i(c) = c**3 + 15*c**2 - 12*c + 68. Let f be i(-16). Suppose 15*o = -f*o + 1444. Calculate the remainder when o is divided by 31.
14
Suppose -q = -5*l + 113, -2*l - 2*q + 21 + 41 = 0. Calculate the remainder when 286 is divided by l.
22
Let o = -110 + 109. What is the remainder when (o + 174/(-4))*8/(-2) is divided by ((-1)/(-2))/(2/180)?
43
Suppose -20*p + 5671 = 21*p + 12*p. What is the remainder when 2456 is divided by p?
102
Suppose -4*c - 2*u + 2 = 0, 0*c + u = -3*c + 1. Suppose c = 4*o - 16, 5*o + 34 = 4*w - 242. Calculate the remainder when w is divided by 25.
24
Suppose 3*i - 63 = l, 3*l + 2*l = -5*i + 125. What is the remainder when ((-74)/222)/(2/(-228)) is divided by i?
16
Let f(y) be the third derivative of y**4/24 + y**3/3 + y**2. Let c = 5790 + -5783. Calculate the remainder when 26 is divided by f(c).
8
Let n = 49 + -59. Let q = n - -28. What is the remainder when 58 is divided by (-42)/(-189) + 104/q?
4
Let a(j) = 2*j**3 + 3*j**2 - 2*j - 15. Let m be a(-3). Let q = m + 46. Calculate the remainder when 136 is divided by q.
6
Let t = 4228 + -4199. What is the remainder when 0 + -1 + (-14 - -16) + 84 is divided by t?
27
Suppose -13*n + 21238 = 21*n + 5972. What is the remainder when n is divided by 43?
19
Let v(u) = -3*u**2 - 12*u + 67. Let q be v(-7). Suppose -f - q*o = -75, -2*f - 3*o + 68 = -77. What is the remainder when f is divided by 28?
15
Let m be 5 - (-1632)/(13 + -5). Let y = m + -104. Calculate the remainder when y is divided by 57.
48
Let v(w) = -w**2 - 8*w - 2. Let d(y) = y**3 + y**2 - 79*y - 94. What is the remainder when v(-5) is divided by d(9)?
3
Let a = 184 + -180. Suppose 10*r - a*r - 48 = 0. What is the remainder when 30 is divided by r?
6
Suppose -32*x = -35*x + 1026. Suppose -x - 218 = -7*q. Calculate the remainder when q is divided by 4.
0
Let m be 2/(-14) + (-6510)/(-294). Suppose 6*d = m*d - 2432. Calculate the remainder when d is divided by 72.
8
Let c(z) = z**2 + 17*z + 31. Let p be c(-16). Suppose -p*n - 3348 = -51*n. What is the remainder when n is divided by 23?
1
Let b be 6 + (12174/4)/(12/8). Suppose 0 = -i + 3, -14*i + b = 5*n - 19*i. What is the remainder when n is divided by 59?
56
Let q = -3246 + 3291. What is the remainder when 91 is divided by q?
1
Let u = 22 + -19. Suppose 2*j + 2*j - 5 = 5*o, 4*j - u*o - 3 = 0. Suppose -9*i + 14*i - 160 = j. What is the remainder when i is divided by 17?
15
Suppose 0 = 4*i - 102*t + 107*t - 503, 0 = -5*t + 35. Calculate the remainder when 577 is divided by i.
109
Let z(y) = -y**2 - 27*y - 124. What is the remainder when 852 is divided by z(-12)?
12
Let b = -111 + 117. What is the remainder when 7/(-14) + 1257/b is divided by 14?
13
Let p = -42 - -70. Suppose -170*u + 176*u = 870. Let a = u - 93. What is the remainder when a is divided by p?
24
Let v be -9*3*144/(-16). Suppose 16*i = 25*i - v. What is the remainder when 44 is divided by i?
17
What is the remainder when 333/((-392)/(-42) + -9) is divided by 91?
89
Calculate the remainder when 751/(50/30 - 2/3) is divided by 23.
15
Let c = -88 + 175. Let i(m) = -320*m - 3493. What is the remainder when c is divided by i(-11)?
6
Let r be -7*7/(343/(-14)). What is the remainder when 69 is divided by r/((-94)/24 + 4)?
21
Let s = -43 - -42. Calculate the remainder when 212 is divided by s*5*434/(-70).
26
Let u(l) = 2*l**2 - 41*l + 32. Suppose 18 - 48 = -2*a. What is the remainder when a is divided by u(20)?
3
Let n(a) = -a**3 - 9*a**2 + 9*a + 8. Let t = -55 - -60. What is the remain