e 0 = -d*q + 9*q + 6. Suppose 17 = -q*s + 51. What is the remainder when 30 is divided by s?
13
Let p be 3 - (-5 + 125)/(-2). Let u = -53 + p. Suppose -25 = 4*t - 133. Calculate the remainder when t is divided by u.
7
Calculate the remainder when ((-4)/(-2) + 46)*2 is divided by (-176)/(-28) + -18*3/42.
1
Let t(l) = 15*l + 1483. What is the remainder when t(-9) is divided by 15?
13
Suppose 3*y - 911 = 2*q - 277, 3*y - 624 = -3*q. Calculate the remainder when 1250 is divided by y.
200
Let k(b) = 7*b + 3*b**2 - b**2 - 4*b**2 + 28 + b**2. Let d be k(12). Let a = d + 89. What is the remainder when a is divided by 30?
27
Let t(f) = -f**2 + 54. Let r be t(0). Suppose -r*k - 126 = -61*k. What is the remainder when 394 is divided by k?
16
Suppose 7*j + 29 = 1723. Suppose -13*p + j = -161. What is the remainder when 79 is divided by p?
17
Suppose -9 - 19 = -4*g. Suppose 0 = -5*x + 2143 - 2128. What is the remainder when g is divided by x?
1
Let b = 29 + -19. Calculate the remainder when 77 is divided by b.
7
Suppose -15 - 145 = -s. Suppose s*l - 164*l - 89 = -5*a, -a + 13 = 4*l. Calculate the remainder when 45 is divided by a.
11
Suppose -220*a = -385*a + 204*a - 78390. What is the remainder when a is divided by 668?
6
Suppose 4*d - 11 = 3*d. Suppose -4*g = v - 157, -d - 17 = -g + 2*v. What is the remainder when 132 is divided by g?
18
Let g(y) = 117*y. Let j be g(1). Suppose 5*s - 28 = j. Suppose 18*c + 38568 = 41664. What is the remainder when c is divided by s?
27
Let g(q) = -1470*q - 1267. What is the remainder when 535 is divided by g(-1)?
129
Let c(n) = 2*n**2 - 28*n - 18. Let i be 788/52 - 6/39. What is the remainder when 153 is divided by c(i)?
9
Let o(n) = n**2 - 3*n - 6. Let q be 3/(-12)*6*-4. Let k be o(q). Suppose 0 = -z - 3*z - k, 4*z + 347 = 5*a. Calculate the remainder when a is divided by 23.
21
Let d(p) = p**3 + 4*p**2 - p + 2. Let a be d(-4). Suppose -a*o + 2*o + 52 = 0. What is the remainder when (-6)/2*(14 + 1422/(-54)) is divided by o?
11
Suppose -u = -3*j - 3 + 10, 2*u = j + 1. Suppose -2*f = 2*y - 58, -584*f + 5*y = -587*f + 97. What is the remainder when (1/(-2))/(u/(-664)) is divided by f?
22
Let f = -12682 - -13236. What is the remainder when f is divided by 74?
36
Suppose 0 = -z + 10*z - 585. Suppose 0 = -2*b - 5*c + z, -b = c + 3*c - 40. What is the remainder when b is divided by 15?
5
Suppose 195 = -2*t + 419. Let c = 117 - t. Calculate the remainder when 14 is divided by c.
4
Let q = 111 - 118. Calculate the remainder when 40 is divided by (-3 + q/14)/(2/(-4)).
5
Suppose -5*v = -3*g + 106 + 85, -g - 5*v = -57. Let x(b) = -b**2 + 16*b - 5. Suppose 2*t + 2*t = 52. Calculate the remainder when g is divided by x(t).
28
Let y be 726/8 + 3/12. Suppose 0 = -n + y + 194. What is the remainder when n is divided by 22?
21
Suppose -4*u - 918 = -2*d, 26*d - 20*d = 2*u + 2734. Calculate the remainder when d is divided by 34.
13
Suppose 620 = -3071*o + 3081*o. What is the remainder when 139 is divided by o?
15
Let d(g) = 4*g**3 + g**2 - 40*g + 22. Calculate the remainder when d(11) is divided by 117.
113
Suppose -20 + 47 = 3*i. Calculate the remainder when 163 is divided by 2*3/i*396/8.
31
Calculate the remainder when 260 is divided by 85/(2 + -3)*(-256)/640.
22
Let o = 28374 - 27196. What is the remainder when o is divided by 585?
8
Suppose 0 = -255*b + 120952 - 592. What is the remainder when b is divided by 463?
9
Suppose -23*d + 222 = -215. Suppose -22*k + 194 = -20*k. Calculate the remainder when k is divided by d.
2
Suppose -6*k + 5*n = -4*k + 23, -k - n = 1. Let t(u) = -9*u + 3. Let o be t(9). Calculate the remainder when 36 is divided by o/k*4/6.
10
Suppose 0 = 2*j + 3*z - 9, 0 = -2*j + 6*z - z + 17. Suppose 5*v - j*v = -18. Calculate the remainder when 35 is divided by v.
17
Suppose 2200 = 5*q + f, -5*q - 2*f - 362 + 2567 = 0. Suppose 11*d = q - 54. What is the remainder when d is divided by 12?
11
Let v(i) be the second derivative of 13*i**3/3 + 11*i**2/2 + 9*i. Let g be v(-2). Let l = g + 54. Calculate the remainder when 31 is divided by l.
5
Let p = -878 - -911. Suppose -39*y + 1572 = -p*y. Calculate the remainder when y is divided by 24.
22
Let v(s) = -28*s - 23 + 1 + 2*s**2 - s**2 + 33*s. Calculate the remainder when v(7) is divided by 22.
18
Calculate the remainder when 57779 is divided by (-15 - (-9 + 191)/(-7))*(-428)/(-22).
213
Let c(y) = -3*y**3 - 85*y**2 - 29*y + 20. Suppose 0*b + 4*b = 40. What is the remainder when c(-28) is divided by b?
8
Suppose -12*n - 5744 = -40*n + 20*n. Calculate the remainder when n is divided by 24.
22
Let g(v) = 97*v**2 - 12*v + 9. Suppose 2*m = 5*q - 125, q - 24 = 5*m + 1. What is the remainder when g(1) is divided by q?
19
Suppose -45*c + c + 10736 = 0. Suppose f - 248 = -3*d, -3*d - f + 2*f + c = 0. What is the remainder when 323 is divided by d?
77
Let a = 154 + -90. Let u = a + -35. Let d = 173 - 158. What is the remainder when u is divided by d?
14
Suppose 5*w - 3*j = 42, -w + j + 10 = -0*j. Let q be 3*(4 - 27)/(3/(-8)). Suppose 3*b + 5*b = q. What is the remainder when b is divided by w?
5
Let q(w) = -9*w**2 - 84*w - 69. What is the remainder when q(-8) is divided by 22?
5
Suppose 4*c + 2*o - 8 = 7*o, 4*c - 2*o - 8 = 0. Suppose 5*q = -x + 982, 4*q + c*x = 9*q - 991. What is the remainder when q is divided by 20?
17
Suppose -12*z = -530 - 790. Let k = z - 95. Let f = 82 - 55. Calculate the remainder when f is divided by k.
12
Let i = 169 - 36. Suppose i*u - 139*u + 1362 = 0. Calculate the remainder when u is divided by 38.
37
Let j = 54 + -52. Suppose -j*o = 196 - 44. What is the remainder when (o - 2)/(-2) + 2 is divided by 11?
8
Let q = -870 + 526. Suppose 17*k - 162 = 8*k. What is the remainder when q/(-4) - (-3)/1 is divided by k?
17
Let c be 2*(-3 + 4) - 1. What is the remainder when 49 + 5/((-5)/7) is divided by -2 - (-1)/(c/14)?
6
Let c = 13 + -11. Suppose 2*o = c*l - 59 - 67, 276 = 4*l + 4*o. What is the remainder when l is divided by 17/((3/1)/3)?
15
Suppose o = 3*k - 3307, 1129 = 15*k - 14*k + 5*o. Suppose 0 = 22*g - 18*g - k. Calculate the remainder when g is divided by 31.
28
Let f(d) = -9*d**3 - 9*d**2 + 14*d + 19. What is the remainder when 1985 is divided by f(-2)?
14
Suppose -5*j + 932 = 2*a, -89 = -2*a - 87. What is the remainder when 438 is divided by j?
66
Calculate the remainder when (-179804)/(-44) - 6 - (-5 - 294/(-66)) is divided by 29.
21
Let a = -25814 - -25877. Calculate the remainder when 25135 is divided by a.
61
Let a = 289 - 173. Suppose 0 = 11*t - t - 170. What is the remainder when a is divided by t?
14
Let s(l) = -2*l**3 - 29*l**2 - 86*l + 4. What is the remainder when 1041 is divided by s(-4)?
9
Suppose 77*t + 630 = 112*t. Suppose -4*j + 196 = -0*m - m, -4*m = 3*j - 147. What is the remainder when j is divided by t?
13
Suppose 2*z + 3*n = 81, -17*z + 5*n - 118 = -20*z. What is the remainder when 9993 is divided by z?
48
Suppose -3660 = -52*m + 10900. Calculate the remainder when 1108 is divided by m.
268
What is the remainder when 1200 is divided by 8*4 + (3 - 14 - -19)?
0
Let n = 960 + -518. Suppose 0 = -27*h + 2420 + n. What is the remainder when h is divided by 21?
1
Let c = -304 - -309. Suppose 0 = w - c*d + 4*d - 8, 34 = 4*w - 2*d. Calculate the remainder when w is divided by 7.
2
Suppose -42*x - 12062 = -201*x + 2248. Calculate the remainder when x is divided by 89.
1
Suppose 8*d + 4*f - 300 = 0, -184 = 6*d - 11*d + f. What is the remainder when 329 is divided by d?
33
Suppose -122 = -5*u + 18. Calculate the remainder when 4 is divided by 42/u*(-8)/(-6).
0
Calculate the remainder when -289*(((-15)/10 - -2) + 12/(-8)) is divided by 148.
141
Let g(z) = -7*z - 102. Let h be g(-15). Let x(l) = 5*l**3 + l**2 + 5*l - 27. Let v(n) = 12*n - 3. Calculate the remainder when x(h) is divided by v(4).
42
Let y = 47 + -32. Suppose 0 = -17*c + y*c + 14. Suppose -c*s + 70 = -2*s. Calculate the remainder when 40 is divided by s.
12
Suppose 4613 = 96*d + 1637. Let o(k) = k**3 + 6*k**2 - k + 7. What is the remainder when d is divided by o(-6)?
5
Let t = 20186 + -19131. Calculate the remainder when t is divided by 328.
71
Let l = 3 - 0. Suppose -813 = 35*f + 342. Calculate the remainder when (3 - f) + l*-1 is divided by 6.
3
Let c = -3368 + 3392. Calculate t