by s?
2
Let p be (12/10)/(12/(-60)). Let t(b) = b**2 + 9*b + 13. Let o be t(p). Calculate the remainder when 98 is divided by ((-33)/9)/(o/45).
32
Suppose 0*z - 2*z = 2*f - 92, -141 = -3*z - 2*f. Calculate the remainder when 101 is divided by z.
3
Suppose -81*n - 1629 + 4950 = 0. What is the remainder when 81 is divided by n?
40
Let v(a) = a**3 + 89*a**2 - 1933*a + 181. What is the remainder when v(-107) is divided by 55?
50
What is the remainder when 1701 is divided by 184/(7 + -5) + 35/5*-1?
1
Suppose -249 - 306 = -37*s. Let n(h) = -7*h**3 - 3*h**2 + h + 2. Let t be n(-2). Let f = -16 + t. What is the remainder when f is divided by s?
13
Let t = -80 + 32. Let g(p) = -3*p**2 - 46*p - 25. What is the remainder when g(-11) is divided by (t/56)/(2/(-56))?
22
What is the remainder when (-4)/((-1)/(1122/12)) is divided by 197?
177
Let r(p) = -3*p - 18. Let u be r(-7). Suppose -d - 3*d - 48 = -u*l, 0 = 5*l - 5*d - 85. What is the remainder when 21 is divided by (20/50)/(1/l)?
5
Let n(z) = -3*z + 7. Let o be n(1). Suppose -o*q - 117 = -357. Let t = q + -50. What is the remainder when 31 is divided by t?
1
Suppose 0*y = -4*y - z + 338, -3*y - 2*z + 256 = 0. Let a(v) = -6*v - 147. Let r be a(0). What is the remainder when y is divided by 42/r + 128/7?
12
Suppose 77*j = -355738 + 360974. Let v = -17 + 40. Calculate the remainder when j is divided by v.
22
Let a(u) = 4*u**2 + 313*u + 138. Calculate the remainder when a(-78) is divided by 19.
3
Suppose 5*s = 202 + 273. Let p(y) = -y**2 - 13*y + 8. Let t(b) = b - 1. Let x(n) = p(n) + 3*t(n). What is the remainder when s is divided by x(-9)?
11
Let s(k) = -14*k**2 - 169*k + 48. Suppose -3*h + 2 = -4. Suppose w = -h*w + 63. Calculate the remainder when s(-12) is divided by w.
18
Let q = 1557 + -1551. Let x be 2/8 + (-1246)/(-8). Suppose x = q*g - 84. What is the remainder when g is divided by 14?
12
Suppose -5*r + 17*h - 19*h = -278, 2*r = -h + 112. What is the remainder when 479 is divided by r?
47
Let j(w) = w**2 + 7*w + 15. What is the remainder when 2952 is divided by j(-17)?
177
Let l(a) = a**2 - 8*a + 14. Let g be l(17). Suppose -3*y - 107 + g = 0. What is the remainder when y is divided by 15?
5
Suppose 5*o - o - 20 = 0. Suppose -54 = -o*b + 86. Suppose 5*u + b - 268 = 0. What is the remainder when u is divided by 25?
23
Suppose -60*f = -9021 - 11154 - 18765. What is the remainder when f is divided by 30?
19
Let s = -23793 + 24193. What is the remainder when 417 is divided by s?
17
Suppose 3*p - 15 = 144. Suppose -i - 4 = -3, -2*d + p = 3*i. Suppose 0 = -1688*h + 1700*h - 60. What is the remainder when d is divided by h?
3
Suppose 5*c + 5*w + 150 = 0, -c - 4*w - 14 = 7. Let n(o) = -o**3 - 33*o**2 - 3*o - 43. What is the remainder when 191 is divided by n(c)?
23
Suppose -5*p = -6 + 41. Let k(u) = -u**2 + 7*u + 7. Let x(i) = -7*i - 6. Let n(t) = -2*k(t) - 3*x(t). Calculate the remainder when n(p) is divided by 14.
11
Suppose -47*l + 2231 = 746 - 4531. What is the remainder when 267 is divided by l?
11
Let s = -822 - -835. Suppose 3*h + 4534 = -s*k + 17*k, 2*h = -5*k + 5656. What is the remainder when k is divided by 42?
40
Suppose -79 = 17*j - 20*j + 5*u, -3*j - u + 103 = 0. Calculate the remainder when j is divided by 12.
9
Let y(r) = r**3 - 20*r**2 - 22*r + 11. Let t be y(22). Suppose 25*z = 34*z - t. Calculate the remainder when z is divided by 30.
25
Let n(x) = -x**3 - x**2 + x + 15. Suppose -l - 6 = l. Let j be (1 - 1)/(9/l). What is the remainder when 57 is divided by n(j)?
12
Suppose -3*n + 0*n = 5*y - 10, 4*n = 0. Suppose -87*x - 385 = -122*x. Calculate the remainder when x is divided by y.
1
Let x(o) = -o**3 - 4*o**2 + 5. Let t be x(-4). Let j be t/(3 + -3 - -1). Let n(b) = b**2 - 3*b + 9. Calculate the remainder when 111 is divided by n(j).
16
Suppose -2*w - 5 = 2*w + 3*z, 0 = -2*w - 3*z - 7. Suppose 5*i = -76 + w. Calculate the remainder when (-5)/(i/78) - -5 is divided by 17.
14
Let t(b) = 2*b**3 + 2*b**2 + 5*b - 7. Let k = -9989 + 10012. What is the remainder when t(4) is divided by k?
12
Suppose -s = 38 - 32, -5*d = -5*s - 12365. What is the remainder when d is divided by 7?
3
Suppose -561 = -2*j - 9*j. Let f(q) = 2*q**2 - 4*q + 2. Let b = -20 - -24. What is the remainder when j is divided by f(b)?
15
Let x(d) = 11*d - 95. Suppose 4*h = -m + 36, 2*h + 2*m = 3*h - 18. Let l(s) = 7*s + 7. Calculate the remainder when l(5) is divided by x(h).
12
Suppose -292*m - 23 = -293*m. Calculate the remainder when 5725/45 + 12/(-54) is divided by m.
12
Suppose 5*v - 10 = -2*r, 1 = v + 3*v + 3*r. Suppose 0 = v*b + 4*n - 332, -n = -2*b + 4*n + 166. Let i = b - 42. Calculate the remainder when i is divided by 22.
19
Suppose 95*f - 97*f = -218. Calculate the remainder when 315 is divided by f.
97
Suppose 0 = -3*i + 82 + 263. Let t = -223 + 461. Suppose -412 = -6*b - t. Calculate the remainder when i is divided by b.
28
Let y = -110 - -170. Suppose 5*t + 2*m = 5*m + y, -70 = -5*t + 5*m. What is the remainder when 10 is divided by t?
1
Calculate the remainder when 357/204 + (-4388)/(-16) is divided by 106.
64
What is the remainder when 94*(1 - 2/4) is divided by (-3 + (-36)/(-9))/(-2*4/(-216))?
20
Suppose 1140 = 13*g - 3*g. Suppose -g = -4*z - 34. Suppose 0 = 7*r - z - 148. Calculate the remainder when 45 is divided by r.
21
Suppose i + 2*a - 388 = 0, 1168*i - 1167*i = -4*a + 384. Calculate the remainder when 1569 is divided by i.
1
Let h(y) = -2*y - 9. Let b be h(-5). Let q be b/(-2) + (-21)/42. What is the remainder when 11 is divided by (-1)/q + 1 + 1?
2
Let v be 58/(-4) - (-3)/(-6). Let z = v + 21. Calculate the remainder when 62/z + 18/27 is divided by 2.
1
Let p be 0/1 - (-1 - 3). Suppose -p*r = -r - 42. Suppose -3*o = -2*o - t - r, 1 = -t. What is the remainder when 38 is divided by o?
12
Let d = 2380 + -2001. What is the remainder when d is divided by 90?
19
Suppose -2*k - 290 = -2*n, 1075*k - 622 = -4*n + 1073*k. Calculate the remainder when 981 is divided by n.
69
Suppose -924*m - 164 = -926*m - 5*d, 0 = -5*m - 3*d + 334. Calculate the remainder when 1141 is divided by m.
25
Suppose 0*a = -a - 2*v + 26, -a - 5*v + 41 = 0. Suppose 30 = -14*z + 100. Suppose z*w = -s + 81 - 7, -15 = -5*w. What is the remainder when s is divided by a?
11
Suppose 600 = 5*f + 135. Let y(p) = 56 + 31*p - 63*p + 28*p. What is the remainder when f is divided by y(6)?
29
Let h(u) = -2*u. Suppose -2*c + 3*c + 2 = 0. Let m(j) = 2*j - 8. Let f(w) = c*h(w) - m(w). Calculate the remainder when 44 is divided by f(4).
12
Suppose 2063 = 13*m + 594. What is the remainder when 473 is divided by m?
21
Let c(i) = -i**2 - 3*i - 2. Let g be c(-2). Suppose 5*l + g = 30. Let z(w) = 3*w**2 + w - 1. Calculate the remainder when z(-3) is divided by l.
5
Suppose -3*s + 16 + 125 = 0. Let p be (-2)/10 - (-10932)/60. Let d = 194 - p. Calculate the remainder when s is divided by d.
11
Suppose 2*s - 4 + 24 = 4*p, 5 = p - 2*s. Let g(h) = 16*h**2 + 16*h - 108. What is the remainder when g(p) is divided by 11?
9
Suppose -12*q - 35 = -19*q. Suppose q*y + 990 = 5*a - 0*y, -4*y = -a + 192. Let k = a - 128. Calculate the remainder when k is divided by 15.
12
Let n(d) = d**3 + 9*d**2 - 3*d - 25. Let g be n(-9). Calculate the remainder when 253/(-46)*(-72)/g is divided by 34.
28
Suppose 1914 = 36*o + 402. What is the remainder when 237 is divided by o?
27
Let c = 8466 + -7333. What is the remainder when c is divided by 1?
0
Let s = -4801 - -5952. Calculate the remainder when s is divided by 29.
20
Suppose -4*i + 129 = -i. Let h be (-2)/7 - 1295/(-245). Suppose -4*s + 3*s - 86 = -h*z, -5*z - 4*s + 81 = 0. What is the remainder when i is divided by z?
9
Let q(h) = h**3 + 2*h**2 - 2*h + 7. Let b be q(0). Suppose -b*a + 17*a = 550. Calculate the remainder when a is divided by 20.
15
Let a(u) = u**3 - 2*u**2 - 5*u - 6. Let s be a(3). Let o be (-10)/4 + -2 - s/(-8). What is the remainder when o + 480/78 + 440/13 is divided by 8?
2
Suppose 18*w = 1060 + 236. What is the remainder when w is divided by 38?
34
Suppose 6*f - 776 = -3866. Let c = 732 + f. Suppose -4*t + 80 = -4*j - 188, 0 = -3*t - 5*j + c. Calculate the remainder when t is divided by 18.
15
Suppose 52*d = -111*d + 87368. What is the remainder when d is divided by 18?
14
Let w be -2*(2*-1 - -1). Sup