2
What is the remainder when 142 is divided by 28/(-3 - -59) - 73/(-2)?
31
What is the remainder when 917 is divided by (-6)/(-1) - (250 - 397)?
152
Calculate the remainder when 4610 is divided by (-66)/(-44)*29*(1 + 1).
86
Suppose -27*k - 93 = -31*k - 5*r, -3*r - 2 = -k. What is the remainder when 540 is divided by k?
13
Suppose 2*t - 66 = 1014. Suppose 8*i - t = -i. What is the remainder when i is divided by 23?
14
Suppose 5*f + 10 = -c - 6, 4*f = 4*c - 56. Calculate the remainder when 754 is divided by c.
7
Suppose 438 - 2997 = -126*u + 1725. What is the remainder when 162 is divided by u?
26
Suppose 3*h - 12*h + 216 = 0. Suppose -h*g + 28*g = 124. Let z(x) = -4*x - 3. What is the remainder when g is divided by z(-3)?
4
Let w be 1*1/((9/87)/3). Suppose -3*j + w = 4*x, 6*x - 3*x = -j + 23. What is the remainder when 117 is divided by x?
5
Suppose 3*m + 767 = -4*i, 3*i + 773 = -i - m. Let k(t) = -t**3 - 9*t**2 - 13*t - 13. What is the remainder when k(-9) is divided by i/(-10) + 6/(-15) - 4?
14
Let g = 8326 - 7736. What is the remainder when g is divided by 67?
54
Let z = 653 - 650. Let q = 6 - 6. Suppose -2*i + q*i = -28. What is the remainder when i is divided by z?
2
Let y(z) = 63*z + 37. Let b = -30 + 43. Let g be y(b). Suppose 6*m - g = -2*m. What is the remainder when m is divided by 22?
19
Let q(n) = -n**2 + 23. Let l be q(4). Suppose 0 = -l*x - 242 + 396. What is the remainder when x is divided by 6?
4
Suppose 18*d - 3321 = 27. Calculate the remainder when d is divided by 97.
89
Suppose 14*w = 12*w + 110. Suppose 6*v - w = v. Let t = 25 + 14. What is the remainder when t is divided by v?
6
Let y = 233 - 231. Suppose 5*f + y - 4 = l, -l + f + 6 = 0. Let w(a) = -a**3 + 5*a**2 + 2*a + 4. What is the remainder when w(5) is divided by l?
6
What is the remainder when 503/(26/(-12) + (-25)/(-10)) is divided by 14?
11
Suppose -528*o + 97*o + 25860 = 0. Let j(s) = -s**3 - 5*s**2 - 7*s - 4. What is the remainder when o is divided by j(-5)?
29
Suppose 2*r + 5*u - 5280 = 0, -4*u = -5*r + 13464 - 132. What is the remainder when r is divided by 16?
4
Let y(f) = -f**3 - 9*f**2 + 9*f + 4. Let p be y(-10). Let v be ((-28)/p)/(1*(-2)/168). Suppose 2*a + 6*a = v. Calculate the remainder when 82 is divided by a.
19
Let i(s) = -s**2 + 13*s - 29. Let d be i(6). Suppose 5*m - 66 = -4*w, d*w - 101 = 8*w + 3*m. What is the remainder when 168 is divided by w?
16
Let l = -2401 - -2517. Calculate the remainder when l is divided by 94.
22
Let z be (18/15)/(1/5). Suppose 2*c - 106 = -5*k, -z*k = -3*k - 5*c - 45. Calculate the remainder when 86 + 20 + 20 + -29 is divided by k.
17
Let o = 3771 - 3666. What is the remainder when o is divided by 36?
33
Let u(m) = m**2 - 12*m - 75. Calculate the remainder when 184 is divided by u(-8).
14
Let k = 2243 + -2105. Calculate the remainder when 247 is divided by k.
109
Let w be (-3)/6*(-6 - 418). Suppose -2*i - 54 = -w. Calculate the remainder when i is divided by 3.
1
Let b = -2954 + 2984. Suppose 234 = 8*v - 5*v. Calculate the remainder when v is divided by b.
18
What is the remainder when ((-2)/(-15) - 0) + 86716/105 is divided by 379?
68
Let t = -391 - -175. Let w = t - -383. Calculate the remainder when w is divided by 42.
41
Let t be 1226/(-12) - (-6)/36. Let k = -34 - t. Suppose -k = -16*u + 15*u. Calculate the remainder when u is divided by 23.
22
Let r = -237 - -262. What is the remainder when 8/((-48)/(-42)) - -108 is divided by r?
15
Suppose 3*d - 37 = 59. Suppose 1382 = 18*b - 2*q - 318, -185 = -2*b + q. Calculate the remainder when b is divided by d.
31
Suppose -4*j - 4*b = -124, 3*j + 4*b = 2*j + 19. Suppose -3*k = 2*l - 4*k - j, 0 = -l - k + 13. What is the remainder when 32 is divided by l?
0
Suppose 0 = 514*o - 133261 + 5603 + 22288. Calculate the remainder when o is divided by 97.
11
Let w = -7801 - -7849. What is the remainder when 155 is divided by w?
11
Suppose 14*g = 25*g + 88. What is the remainder when (-558)/g - (13/(-4) + 3) is divided by 24?
22
Let m = 1526 + -897. Let o = -589 + m. What is the remainder when 146 is divided by o?
26
Suppose -h + 456 = 2*h. Suppose -3 + 10 = y. Let k = y - -32. Calculate the remainder when h is divided by k.
35
Suppose 20*p + 7*p = 54. Suppose 2*n = -p*m + n + 555, -5*n + 1125 = 4*m. Calculate the remainder when m is divided by 14.
9
Let i = 2 - 31. Let x = -29 - i. Suppose x = 13*n + 9 - 74. Calculate the remainder when 23 is divided by n.
3
Let w(j) = 4*j**2 + 144*j**3 - 145*j**3 - 2*j + 4*j**2 + 11. Let o be w(8). Calculate the remainder when 2/(o/(-220)*2) is divided by 23.
21
Let l(t) = -t**2 + 9*t + 7. Let b be l(10). Let j(z) = z**2 - 4*z - 4. Calculate the remainder when j(b) is divided by ((-9)/(108/(-40)))/((-26)/(-78)).
7
Let h(m) = -m**2 + 7*m + 3. Let y be h(7). Let x(z) = 9*z**2 - 3*z + 5. Suppose -10*d + 81 = -189. What is the remainder when x(y) is divided by d?
23
Suppose 3*z = 31*l - 32*l + 39, -60 = -2*z + 5*l. Calculate the remainder when 556 is divided by z.
1
Suppose t - 2*n - 172 = -138, 4*t + 5*n - 175 = 0. What is the remainder when 610 is divided by t?
10
Let y(i) = 2*i**3 + 17*i**2 + i - 3. Calculate the remainder when y(2) is divided by 53.
30
Calculate the remainder when 385 is divided by 18/8 - (-57846)/744.
65
Let b = -29 + 58. Suppose 3*f = 192 - 210. Let t = b + f. Calculate the remainder when 40 is divided by t.
17
Suppose 0 = 160*o - 166*o + 24. Suppose -5*y - o*v = -434, -4*y - 2*v = -306 - 40. Calculate the remainder when y is divided by 15.
11
What is the remainder when 42/(-10)*(-20 + -12 + 27) is divided by 1?
0
Let w(s) be the second derivative of -3*s**5/2 + s**4/12 + s**3/6 + s**2/2 + 11*s. Let f = 19 + -1. What is the remainder when w(-1) is divided by f?
13
Suppose 7454 = a + 2*c, 0*c + c = 4*a - 29825. Suppose 0 = -47*b + 63*b - a. What is the remainder when b is divided by 13?
11
Suppose -154665 = 36*b - 156321. Calculate the remainder when (-5778)/(-14) + (-4)/(-14) is divided by b.
45
Let x = -2822 - -2852. What is the remainder when 111 is divided by x?
21
Let w be (0 + 3/(-3))/1. Suppose -50 = -16110*c + 16105*c. What is the remainder when w - (1 + 0)*-38 is divided by c?
7
Let x(f) = -f**3 - 47*f**2 - 106*f - 478. What is the remainder when 1125 is divided by x(-45)?
157
Suppose 0 = 4*o - 219 - 201. Suppose o = -13*y + 1. Let z(b) = b**3 + 11*b**2 + 19*b - 1. Calculate the remainder when 77 is divided by z(y).
38
Suppose 0 = 35*t + 65297 - 16017. Let m = -1377 - t. Let r = -11 - -19. Calculate the remainder when m is divided by r.
7
Let o(m) = -m**3 - 11*m**2 + 105*m - 13. Let q be o(-17). What is the remainder when 271 is divided by -2 - (q + 36/(-6))?
67
Suppose 2*v - 327 = -3*v - 3*u, -v + 2*u = -68. Suppose 10*k = -9*k + 741. What is the remainder when v is divided by k?
27
Let d = 3319 + -3264. Calculate the remainder when 217 is divided by d.
52
Suppose 12*h - a = 7*h + 682, -3*a + 1082 = 8*h. Calculate the remainder when h is divided by (2 - 0)/(1/23).
44
Let y(c) = -c**2 - 27*c + 31. Let p be y(-20). Suppose 651 = 5*f + p. Let a = 160 - f. Calculate the remainder when a is divided by 22.
20
Suppose -24*w + 27 = -69. Calculate the remainder when 57 is divided by 14*(5 - 3 - (-2)/w).
22
Suppose -105 = 10*h - 9*h + c, 5*h + 505 = -c. Let z = -95 - h. What is the remainder when ((-2)/6)/(3/(-99)) is divided by z?
1
Suppose 17 = -150*v + 151*v - 2*b, 5*v - 3*b - 85 = 0. Suppose p = 102 + 16. Calculate the remainder when p is divided by v.
16
Suppose 82*z = -125*z + 273*z - 48180. What is the remainder when z is divided by 104?
2
Let b(w) = -13*w + 3. Suppose 5*h - 3*h - 48 = 0. Suppose -11 + 0 = 3*q + i, -4*i = 2*q + h. What is the remainder when b(q) is divided by 17?
12
Let s = 32872 - 32865. Calculate the remainder when 1317 is divided by s.
1
Let s(u) = u**2 - 12*u + 32. Suppose -7*n + 2*n = -50. What is the remainder when 431 is divided by s(n)?
11
Suppose -3*g - 5*k + 125 = 29, -39 = -2*g + 5*k. Let j be 15 + -18 + -78*(-1)/1. Let m = -61 + j. Calculate the remainder when g is divided by m.
13
Suppose -411*w = -598562 - 595213 - 222120. What is the remainder when 3450 is divided by w?
5
Let h(w) = 75*w + 2569. What is the remainder when 655 is divided by h(-33)?
91
Suppose -5*h = 4*v - 189, -4*v + 3*h 