123*u + 248. What is the remainder when 2385 is divided by i(2)?
1
Suppose -4*s - 3*c + 26324 = 0, -3*s = -6*c + 4*c - 19743. What is the remainder when s is divided by 3?
2
Let u be (-14)/(-4)*1012/161. Suppose 0 = -3*l - 4*o + u, -19 = -l - 4*o - 9. Calculate the remainder when 29 is divided by l.
5
Calculate the remainder when (-2272)/(-6)*3/8 is divided by 55.
32
Let l = -26 - -56. Suppose 0*d = -2*d + l. What is the remainder when ((-2)/(24/99))/((-69)/368) is divided by d?
14
What is the remainder when 1560 is divided by 9568/22 - (-5328)/4884?
252
Suppose 3*k - 124 + 64 = 3*h, -4*k + 82 = -5*h. Calculate the remainder when 695 is divided by k.
11
Suppose 11 + 34 = 5*w. Let p be ((-81)/(-6))/9*(-20)/(-6). Let s = w - p. Calculate the remainder when 10 is divided by s.
2
Let d(j) be the first derivative of j**3/3 - 2*j**2 - 4*j - 93. Calculate the remainder when d(-6) is divided by 15.
11
What is the remainder when 15865 is divided by (-14 + ((-16353)/(-45))/23)/((-2)/(-410))?
367
Let c(t) = 5*t + 26. Suppose 4*x = -4 + 16. What is the remainder when c(x) is divided by 6?
5
Suppose -29 = q - 2*q. Suppose 2*z = -2, 3*z - 149 = 3*x - 7*x. What is the remainder when 1 - -58 - (40 - x) is divided by q?
28
Suppose 5*g = -b + 47, 17*b - 21*b + 220 = 4*g. What is the remainder when b is divided by 21?
15
Let f(v) = v + 1. Let p(x) = -x**3 + 3*x**2 + 6*x - 7. Let g be p(4). Let u be f(g). Calculate the remainder when 35 is divided by 92/5 - u/5.
17
Let c = -8701 + 8742. Calculate the remainder when 137 is divided by c.
14
Let g be (-3 + 6 + -3)*1/1. Suppose -3*x - 2*v + 202 = g, 0*x + 5*x - v = 328. Let n = x - -32. What is the remainder when n is divided by 33?
32
Suppose 2*w + 27 = q, 3*q - 71 = 7*w - 11*w. Let p(r) = -24*r**2 - 3*r + 3. Let u be p(1). Let b = q + u. Calculate the remainder when 7 is divided by b.
0
Let d = 501 - 501. Suppose 20*b + 70 - 610 = d. Calculate the remainder when 88 is divided by b.
7
Suppose 109 - 106 = u - 5*f, 96 = 5*u + 2*f. Suppose -2*y + 2*g + 193 = -173, 5*g + 25 = 0. What is the remainder when y is divided by u?
16
Let b(h) = -h**2 + h. Let g be b(0). Suppose -12*n + 589 + 11 = 0. What is the remainder when n is divided by (g + 2)/((-8)/(-52))?
11
Calculate the remainder when (32*(-25)/(-1600))/(1/(-51454)*-1) is divided by 201.
200
Let i be 2 + (7 - (-1 - 0)). Suppose -3*n = 2*n + i, -n = 5*u - 23. Suppose 4*y - 3 = u, d + 3*y = 17. What is the remainder when 41 is divided by d?
8
Let t(j) = 2*j**2 + 6*j - 3. Let p be t(-4). Suppose -p*f = -4*f + 1. What is the remainder when 69 is divided by 11 + f*(1 - (-4)/(-1))?
13
Let s = 3521 - 3462. What is the remainder when 273 is divided by s?
37
Let d(g) = g**2 + 26*g + 76. Let h be d(-23). Suppose 0 = 4*t + 2*j + 1 + 29, t + 2*j + 15 = 0. What is the remainder when 25 is divided by 0 - h/2*(-7 - t)?
4
Suppose 17*r - 14*r = -576. Let k = 243 + r. Calculate the remainder when 251 is divided by k.
47
Let j = 696 + -219. Let l(v) = v**3 + 22*v**2 + 20*v + 11. What is the remainder when j is divided by l(-21)?
29
Suppose 3*w = -2*w - h + 575, -139 = -w - 5*h. Suppose -d + w = 2*d. Let t(a) = 9*a**2 + 11*a - 40. What is the remainder when t(4) is divided by d?
34
What is the remainder when 246 + -71 - (0 - 8) is divided by 61?
0
Let n(h) = -h**3 - h**2 + 5*h - 2. Let g be n(3). Let y = -13 - g. Let v(x) = 37*x + 1390. Calculate the remainder when v(-36) is divided by y.
8
Suppose -5*b = -5*w + 1715, 5*w - 5*b = -4*b + 1727. Suppose 3*t - w = n, 5*n + 7 = -13. Calculate the remainder when t is divided by 58.
56
Suppose 3*u = 23 - 8. Suppose 156*v + 15 = 171*v. What is the remainder when ((-3)/(-6))/(v/216*6) is divided by u?
3
Suppose -x - 2*k = -19, -4*k = 4*x - 54 + 6. Calculate the remainder when 3252 is divided by x.
2
Let f = 13153 - 12948. What is the remainder when f is divided by 110?
95
Suppose -74*l - 86650 = 24*l - 256484. What is the remainder when l is divided by 47?
41
Suppose 3*m + 1402 = 7*m - 2*p, 3*m + 4*p = 1079. Suppose -m + 416 = d. What is the remainder when d is divided by 12?
3
Suppose 18 = -3*o + 39. Suppose -727 - 420 - 586 + 337 = -349*c. Calculate the remainder when o is divided by c.
3
Let u(m) = -2*m**3 - 2*m + 2. Let y be u(-2). Suppose -y*g + 8 = -20*g. Suppose -g*z - 73 = -205. Calculate the remainder when z is divided by 18.
15
Let m(o) = -48*o + 1. Let v(g) = 2*g**3 - 17*g**2 + 8*g - 5. Let s be v(8). Let u(p) = 38*p + 215. What is the remainder when m(-1) is divided by u(s)?
24
Suppose 94 = l - 297. Suppose l = 9*x + 8*x. Calculate the remainder when 181 is divided by x.
20
Suppose 7*a - 138*a - 255 = -9556. What is the remainder when 603 is divided by a?
35
Suppose 2*v = w + 39, -v + w + 105 = 4*v. Let d(n) = 34*n - 191. Calculate the remainder when d(v) is divided by 43.
41
Let b(m) = -21*m**2 + 1232*m - 32. Calculate the remainder when b(58) is divided by 14.
10
Let i be -1 + 1 - (-1 + 8/(-4)). Suppose -3*c + v = -504, 3*c - 840 = -2*c - i*v. What is the remainder when c is divided by ((-15)/6)/(-5)*68?
32
Suppose 3*o - o - 26 = 0. Calculate the remainder when (-3)/4*(-248 - (12 - 36)) is divided by o.
12
Let v(w) = 78*w**2 + 238*w + 8. What is the remainder when v(-6) is divided by 28?
16
Suppose 9*c - 24795 - 8610 - 15492 = 0. Calculate the remainder when c is divided by 36.
33
Suppose 0 = 97*n - 30235 - 9535. What is the remainder when n is divided by 4?
2
Suppose -4*m - 59 = -19. Suppose -x + 3*s = 21, -877*s + 33 = 3*x - 878*s. Calculate the remainder when x is divided by (1 + 0 + m)*-1.
6
Let m be ((88/(-6))/4)/((-11)/561). Let u = 195 - m. What is the remainder when 28 is divided by u?
4
Calculate the remainder when 145 is divided by (1672/(-6))/19*-3.
13
Let p(o) = 4*o**2 + 113*o + 341. Calculate the remainder when 774 is divided by p(-3).
14
Let y = -372 + 352. What is the remainder when 24 is divided by 10*-11*4/y?
2
Let k(f) = 0 - 2 + 31*f + 2 - 9. Let v be k(-4). Let t = v + 197. Calculate the remainder when t is divided by 17.
13
Let b(x) = x**3 + 6*x**2 - 15*x + 9. Suppose -6 = -10*o - 86. Let c be b(o). What is the remainder when 194 is divided by (84/7)/(-6) + 51/c?
47
Let h(u) = -6*u + 9. Let s(q) = q. Let g(b) = h(b) + 5*s(b). Let v(d) = d**2 + 6*d + 14. Calculate the remainder when v(-10) is divided by g(-19).
26
Suppose -29*i = -41*i + 42*i - 10110. What is the remainder when i is divided by 175?
162
Suppose 0*a + a + 4 = 2*p, -4*p = -5*a + 10. Suppose b - 33 = 4*r, -a*b + 4*b = r - 66. What is the remainder when 128 is divided by b?
29
Suppose 11*l - 6*l = -4*z + 585, -4*l - z = -479. What is the remainder when l is divided by 18 - 9 - 1*5?
1
Suppose 0 = -125*u + 120*u - 25 + 300. What is the remainder when 436 is divided by u?
51
Let h(v) be the third derivative of v**6/120 + 11*v**5/30 + v**4/12 + 61*v**3/6 - 2*v**2 + 18*v. Calculate the remainder when 542 is divided by h(-22).
15
Let y = -8929 + 14625. What is the remainder when y is divided by 76?
72
Let k = 156 - 154. Suppose -2*v - 5*b = 1 - 6, -2*b = k*v - 14. Calculate the remainder when 98 is divided by v.
8
Suppose -10 = 4*y - 47 - 63. What is the remainder when 1947 is divided by y?
22
Suppose -284 = 45*s - 49*s + 4*g, 0 = -5*g + 10. Suppose -4*b - 5*u - 35 = -88, 0 = -5*b - 4*u + s. Calculate the remainder when 779 is divided by b.
14
Let t(v) = v**3 - 5*v**2 - 7*v + 8. Let r = -53 + 98. Suppose r*x = 49*x - 8. Calculate the remainder when t(6) is divided by x.
0
Let o(s) = -33*s - 428. Calculate the remainder when o(-20) is divided by 24.
16
Suppose 5*d = 5*r - 190, 4*r - 3*d - 2*d = 159. What is the remainder when 115 is divided by r?
22
Let n(f) = 15*f**2 - f + 2. Let k be n(1). Suppose -y + b = -k, y - 89 = -3*y - b. Calculate the remainder when 82 is divided by y.
19
Let n be 28/(-4) - (15 - 133). Suppose -396 = -115*u + n*u. What is the remainder when u is divided by 6?
3
Let o(x) = x**3 + 10*x**2 - 41*x - 286. What is the remainder when o(-8) is divided by 31?
15
Let j(p) = 1943*p - 38797. Suppose -2*i - i = -606. Calculate the remainder when i is divided by j(20).
13
Suppose -3*j = n + 16, -5*n + 3*j - j = 80. Let w(t) = 3*t**3 - 2*t**2 + 3*t + 2. Let o be w(-3). Let h = n - o. What is the remainder when h is divided by 23?
21
Suppose 