e remainder when u is divided by 5.
2
Suppose -3*s = -7*s - 4*r, -12 = -3*s + 3*r. Suppose -h + 21 = x + 3*h, 6 = s*h. Suppose 3*c = 80 + 22. Calculate the remainder when c is divided by x.
7
Let i(t) be the second derivative of 69*t**5/20 + t**3/3 - t**2/2 + 14*t. Let n be i(1). Let l = -52 + n. Calculate the remainder when 161 is divided by l.
17
Suppose -26*m + 854 = 256. Calculate the remainder when 62 is divided by m.
16
Let p(b) = 7*b**3 + 15*b**2 - 8*b + 22. Calculate the remainder when p(3) is divided by 65.
62
What is the remainder when (1 + 30)*((-136)/85 + (-91)/(-35)) is divided by 29?
2
Suppose 0*b = -3*b + 15. Suppose 0 = -b*t - 2*x - 211, t - 4*x = -7*x - 37. Calculate the remainder when 137 is divided by (-3 + t/(-5))*5.
25
Let j = 53 - -30. Let l(t) = -t**3 - 13*t**2 - 3*t - 22. Suppose -2*f - 3*i = 29, 4*i + 30 = -4*f + 2*f. What is the remainder when j is divided by l(f)?
15
Suppose -13*f = -7 - 19. Suppose f*q - 120 = -q + v, -3*q + 3*v = -120. Calculate the remainder when q is divided by 9.
4
Let o(w) = -w**3 + 10*w**2 + 45*w - 1. Let j = -430 + 443. What is the remainder when o(j) is divided by 31?
15
Let r = 43560 + -42378. What is the remainder when r is divided by 150?
132
Let t be 1/5*16 + (-90)/450. Calculate the remainder when (8/t)/((-25)/(-150)) is divided by (1 - (-1 + 0)) + 7.
7
Suppose 3*y - 4*y = -2*k - 982, -2*k - 4926 = -5*y. What is the remainder when y is divided by 54?
14
Let f be (-1)/(-3) - 17/(-3). Suppose -w + 0 = 3*j - 8, 8 = 2*j + 2*w. Calculate the remainder when 147 is divided by (-34 - 3)/(j/(4 - f)).
36
Let k = 2224 - 2217. Calculate the remainder when (-200)/12*(-6)/4 is divided by k.
4
Calculate the remainder when 52/169 + -3435*18/(-78) is divided by 24.
1
Let v = -42 - -31. Let i = v - -38. Suppose i*t - 19*t - 1416 = 0. What is the remainder when t is divided by 45?
42
Let c be (5 - -3)/2*595/28. Let x = c + -79. What is the remainder when 27 is divided by (-1 + 6 - -1)/(9/x)?
3
Let h(w) = w**2 + 61*w + 351. Calculate the remainder when 943 is divided by h(-6).
19
Let k = 13446 - 13424. What is the remainder when 1536 is divided by k?
18
Suppose 0 = 134*s + 119*s - 51612. Calculate the remainder when 733 is divided by s.
121
Suppose -2033*y = -2012*y - 39018. What is the remainder when y is divided by 93?
91
Let h(p) = p**2 - 5*p - 14. Let v be h(7). Suppose v = -2*s - 4*j + 170, 6*s - 3*s - 245 = -j. What is the remainder when s is divided by 41?
40
Suppose 0 = 23*u - 24*u + 5*o + 266, 28*u + 5*o - 6288 = 0. Calculate the remainder when 2022 is divided by u.
214
Suppose -4*i + 4*w + 136 = -52, 4*i + 2*w - 158 = 0. Suppose -87 = -3*q + i. Suppose -38*z = -q*z + 240. What is the remainder when z is divided by 27?
21
Let g(a) = -a**2 + 14*a + 47. Let l be 12/(-8) + 45/(-2). Let k = -12 - l. What is the remainder when g(8) is divided by k?
11
Let f = -24 - -15. Let n = 20 - -6. Let q = n + f. Calculate the remainder when q is divided by 4.
1
Let p(k) = 1166*k - 60. Calculate the remainder when p(23) is divided by 223.
221
Calculate the remainder when (-2122)/(-6) - ((-78)/(-2))/(-117) is divided by 65.
29
Suppose 268 = 26*s - 148. What is the remainder when 222 is divided by s?
14
Suppose 17017 = j - 3*s, -5*s = j - 9084 - 7909. What is the remainder when j is divided by 70?
68
What is the remainder when 2008 is divided by (-9 - (-14 - (-13 - -6)))*(-201)/6?
65
Let a(r) = 3*r**2 + 11*r - 211. Calculate the remainder when 3274 is divided by a(9).
130
What is the remainder when 103 is divided by 7 - 2*8/(-16)?
7
Let a be (-1)/4 + (-2 - (-1015)/28). What is the remainder when (2/(-1) + 4)*255/a is divided by 9?
6
Let c(y) = 7*y**2 - 30*y + 27. What is the remainder when (14 - (-3 - -4))*4 is divided by c(4)?
14
Suppose 0 = -30*c - 50 - 40. Let k(r) = r**3 + 6*r**2 + 3*r - 8. What is the remainder when 109 is divided by k(c)?
9
Suppose 2*z + 4*g = 158, 168 = 2*z + g + 16. Suppose -186 = 8*s - 14*s. Let a = z + s. Calculate the remainder when a is divided by 12.
10
Suppose 0*l - 1212 = -6*l. Suppose l*d - 28 = 200*d. What is the remainder when 111 is divided by d?
13
Suppose -83*x = -92*x + 2340. Calculate the remainder when (-14)/(-4)*12/42*x is divided by 38.
32
Suppose 0 = 19*q - 239 - 46. Let i(y) = -y**3 + 2*y**2 + 2*y - 3. Let a be i(2). What is the remainder when (71/a)/((-1)/(-1)) is divided by q?
11
Suppose 30*x + 3*a - 242 = 29*x, -4 = -2*a. Calculate the remainder when 503 is divided by x.
31
Suppose -6*s - 5 = -7*s. Suppose d - 7 = 15. Calculate the remainder when -63*((s + -2)*-1 - -2) is divided by d.
19
Suppose 11*c + 1998 = 13262. Let v = -719 + c. Suppose 3*w = -4*o + 242, 5*o + 2*w + 3*w - v = 0. What is the remainder when o is divided by 5?
4
Suppose 4*s = x + 40, 4*s + 2*x - 63 = -s. Calculate the remainder when (62 - (-33 + 37)) + -16 is divided by s.
9
Let v be ((-27)/(-12))/(1/116). Suppose -12*l = -21*l + v. Calculate the remainder when l is divided by 8.
5
Let l(k) = 6*k**3 + 2*k**2 + k + 80. What is the remainder when l(6) is divided by 3?
2
Let j = -158 - -166. Suppose -j*b + 113 - 1 = 0. Calculate the remainder when 38 is divided by b.
10
Let t(l) = -33*l + 982. Calculate the remainder when t(-41) is divided by 57.
55
Let q(o) = -o**2 + 8*o - 4. Let i be q(5). Calculate the remainder when 39 is divided by i + (35/5 - 4).
11
Suppose 709*k = 573*k + 31 + 1465. What is the remainder when 2319 is divided by k?
9
Let a be 2112/72*(-4 - -1). Let y be (-42)/(-315) - a/15. Suppose -15*d + 96 = y. What is the remainder when 7 is divided by d?
1
Suppose 0 = -4*w - 3*q + 178 + 152, -2*q + 4 = 0. What is the remainder when w is divided by 30?
21
Suppose 3*s = -2*z + 41805, -3*s + 2693 = -z + 23600. Calculate the remainder when z is divided by 113.
112
Let j(u) = u**3 + 20*u**2 + 30*u + 37. Let g be j(-19). Let m = g - -295. Calculate the remainder when m is divided by 21.
18
Let v = -23616 - -24290. Calculate the remainder when v is divided by 50.
24
Let t be (2 + -4 - -2) + 2. Let f be (-1*t)/((-28)/770). Let m = 82 - f. What is the remainder when 53 is divided by m?
26
Suppose 61*n - 32*n = 10437 - 2868. What is the remainder when 376 is divided by n?
115
Let q be -5 + (-3)/6*(-318 - 8). Let o = q + -146. What is the remainder when 77 is divided by o?
5
Let r(a) = a**3 + 12*a**2 + 51*a + 312. Calculate the remainder when 2849 is divided by r(-10).
1
Let f(q) = -448*q + 544. What is the remainder when 358 is divided by f(1)?
70
Suppose 0 = 18*t - 12*t - 53886. What is the remainder when t is divided by 9?
8
Let z(r) = r**2 + 1. Let k be z(0). Let n be (k + (-6)/(-4))*2. Suppose 0 = -3*d - n*d + 80. What is the remainder when d is divided by 5?
0
Suppose 26*s - 213 = 487 + 80. Calculate the remainder when 773 is divided by s.
23
What is the remainder when 369 is divided by (5 + 1015/25)/(18/45)?
27
Let k(p) = 38*p + 302. Let u be k(-7). Suppose -3*w - 2*a = -u, -2*w - 4*a + 2 = -30. What is the remainder when 39 is divided by w?
9
Suppose -4*j + 5 = -11, 3*c - 274 = -4*j. Let g = 149 - c. What is the remainder when g is divided by 23?
17
Let i = -4 - -10. Suppose -6*w - i = -9*w. Calculate the remainder when 12/27 - (-410)/90 is divided by w.
1
Suppose 1 = -z - 5*g, 12 = 2*z - g - 3*g. Suppose 0 = z*r + 945 - 45. Calculate the remainder when (-1)/(1 + 230/r) is divided by 16.
13
Suppose -t - 33 = -4*r, -r = 2*t + 10 - 7. Calculate the remainder when (-1)/2*306/(-9) is divided by r.
3
Suppose -34 = -5*i + 3*i. Suppose 404*s - 9176 - 15506 = -6502. Calculate the remainder when s is divided by i.
11
Suppose 2*h - 133 = 197. Calculate the remainder when h is divided by 30.
15
Let q(m) = m**3 - 25*m**2 + 48*m - 5. Let b be q(23). Suppose 0 = -9*a + 85 + b. What is the remainder when 49 is divided by a?
7
Let t be 2702/(-21)*6*(-3)/(-6). Let n = -377 - t. Suppose 2*h + h - 102 = 0. What is the remainder when h is divided by n?
7
Let b(o) = 293*o + 540. What is the remainder when b(2) is divided by 113?
109
Let t(f) = f**2 - f - 28. Let a be t(5). Calculate the remainder when ((-7936)/7)/a - (-4)/14 is divided by 29.
26
Suppose 10 = 3*l + 2*l. Suppose 43*p = 41*p + 18. Calculate the remainder when l is divided by 6 - (-38)/(-6) - (-12)/p.
0
Let t = 744 + -732. Calculate the remainder 