1413 + 21468. Calculate the remainder when 553 is divided by t.
3
Suppose 137*g - 3254 - 2637 - 5480 = 0. What is the remainder when 2072 is divided by g?
80
Let s(j) be the first derivative of 3*j**3 + 2*j + 2. Suppose 4*v - 466 = -3*t, -71*v + 76*v - 320 = -2*t. What is the remainder when t is divided by s(-2)?
36
Let h(r) = -r**3 - 6*r**2 + 6*r - 1. Let a be 0 + (-3)/3 + -6. Let m be h(a). Suppose 0 = -m*x + 2*x + 20. Calculate the remainder when 18 is divided by x.
3
Let y = -1490 + 1655. Calculate the remainder when y is divided by 15.
0
Suppose 0 = -5*i + 115 + 50. Let c = 58 - i. Let t(v) = -99*v - 92. Calculate the remainder when c is divided by t(-1).
4
Let g(t) = 41*t**3 - 7*t**2 - 10*t + 90. What is the remainder when g(5) is divided by 161?
160
Suppose -20*h + 3*h = -238. Suppose -h*b = b - 150. Calculate the remainder when b is divided by 0 + (10/1 - 0).
0
Let l(z) = -z**3 + 12*z**2 - 3*z + 42. Let r be l(10). Suppose 0 = -4*c + 220 + r. What is the remainder when c is divided by 28?
24
Let l(j) = -2*j**3 + j**2 - 1. Let o be l(-1). Suppose o*b - 15 = 33. Calculate the remainder when b is divided by -3*(-3 - (-30)/25)*(-10)/(-6).
6
Let t(n) = 107*n**2 - 14*n + 6. What is the remainder when 335 is divided by t(1)?
38
Let k = -314 - 149. Let w = k - -478. What is the remainder when 89 is divided by w?
14
Let i = 126 + -96. Suppose -v + 6*v = 10, 0 = -4*p + v + 158. Calculate the remainder when p is divided by i.
10
Suppose -930*y + 5*x = -925*y, x = 2*y - 6. Let j = 20 - -4. Calculate the remainder when j is divided by y.
0
Let y = -130 - -143. Let h(b) = 3*b - 21 + 17 + b**2 - 5*b + b**2. Calculate the remainder when y is divided by h(3).
5
Let l = -4679 + 4854. Calculate the remainder when 668 is divided by l.
143
What is the remainder when 141556/13 + 365/4745 is divided by 242?
241
Let i be (-4)/22 - (-7)/((-1155)/132795). Let h = 1027 + i. What is the remainder when h is divided by 22?
2
Suppose 412 = 3*f - 392. Suppose -f + 176 = -s. What is the remainder when s is divided by 5?
2
Suppose -155*m + 173*m - 59 = 67. Calculate the remainder when 194 is divided by m.
5
Let g(t) = t**2 - t - 5. Let y = -20377 + 20519. What is the remainder when y is divided by g(4)?
2
Suppose 341 = -2*k + 3*c, 2*k = -4*c + 7 - 383. Let y = 184 + k. What is the remainder when 16 is divided by y?
4
Suppose 1607 - 827 = -5*a. Let f = -129 - a. What is the remainder when 263 is divided by f?
20
Let y(w) = w**3 + 8*w**2 + 3*w + 2. Calculate the remainder when 757 is divided by y(-2).
17
Let o be 5 + (333 - -1) + -1. Suppose -2*t - o = -2*b, 3*b = -b - 4*t + 708. What is the remainder when b is divided by 44?
41
Suppose 0 = -100*k - k + 188365. What is the remainder when k is divided by 76?
41
Suppose 0 = 1136*k - 1121*k - 330. Calculate the remainder when 510 is divided by k.
4
Suppose 11*d - 13*d = -78. Calculate the remainder when 7 - (9 - 6 - 73) is divided by d.
38
Suppose -21554 - 994 = -6*z. What is the remainder when z is divided by 235?
233
Let h be 11 + -14 - (-14 - 0). Suppose -h = -3*x - 5. Suppose s = x*t - 3*s - 16, -5*t = s - 62. Calculate the remainder when 46 is divided by t.
10
Let y be 9/(-2)*240/(-18). Suppose -11*s + 6*s = -y. What is the remainder when s is divided by 1*(-6)/8*(-100)/15?
2
Let t = -309 - -208. Let r = 111 + t. Let u(c) = c**2 - 9*c + 18. Calculate the remainder when 53 is divided by u(r).
25
Let m(l) be the first derivative of l**4/4 - l**3/3 + 2*l + 8. Let r(j) = j**2 + 9*j + 19. Calculate the remainder when r(-7) is divided by m(0).
1
Suppose -846*i + 825*i = -1743. Calculate the remainder when i is divided by 13.
5
Suppose 6 = -t, 43*x + 4*t - 1689 = 40*x. What is the remainder when x is divided by 107?
36
Let l = -960 - -3238. What is the remainder when l is divided by 114?
112
Calculate the remainder when ((-492)/(-16))/41 - 21826/(-8) is divided by 130.
129
Suppose 2*y - 3*f = 21, -4*y + y = f - 4. Suppose 36 = 4*k - y*o - 24, k - 30 = -3*o. Let p = -92 - -156. Calculate the remainder when p is divided by k.
10
Let d be -2 - (-26)/12 - 245/(-6). Suppose -d - 121 = -3*p. Let h = 73 - p. What is the remainder when 35 is divided by h?
16
Let i = 197 - 197. Suppose i = -4*g + 3*q + 64, 5*g = 27*q - 24*q + 80. What is the remainder when 74 is divided by g?
10
Suppose 8*j - 190 = -11*j. What is the remainder when 54 is divided by j?
4
Suppose -413*b = -521*b + 7668. What is the remainder when 6175 is divided by b?
69
Let d(w) = -80 - 3*w**2 + 7*w**2 - 5*w**2 + 2*w**2 + 6*w. Calculate the remainder when 61 is divided by d(-13).
6
Suppose -669*w - y + 30 = -666*w, -1 = w + 4*y. What is the remainder when 17982 is divided by w?
8
Suppose 40*z - 5*h - 707 = 37*z, -5*h = 4*z - 1001. Calculate the remainder when 951 is divided by z.
219
Let k(s) = s**3 + 28*s**2 + 27*s + 15. Let m be -9*(-12)/(-7 - -3). Suppose -3*y + y = -56. What is the remainder when y is divided by k(m)?
13
Let s = 59 + -57. Suppose y + 3*j = -3*y, 4*y - s*j = 0. Suppose y = -2*m - 4*m + 90. Calculate the remainder when 39 is divided by m.
9
Suppose -z - 3*j = -4802, 4*z + 130*j = 127*j + 19145. What is the remainder when z is divided by 318?
11
Suppose 3*c - 108 - 578 = -5*f, -12 = 4*c. Suppose 2*v - f = -11. Suppose 7*p - 55 = 36. Calculate the remainder when v is divided by p.
12
What is the remainder when 178 is divided by (1804/533)/((-5)/(-65))?
2
Let r(h) = -59*h - 1353. Calculate the remainder when 290 is divided by r(-23).
2
Let j = -10 - -42. Let c(u) = -u**3 + 23*u**2 - 17*u - 17. Suppose -5*q = g - 108, 4*q - 5*g = 67 + 31. What is the remainder when c(q) is divided by j?
29
Suppose -63*s - 5*a - 67 = -66*s, -3*s + 17 = 5*a. What is the remainder when 582 is divided by s?
8
Suppose 20*q = -6*q + 20 + 942. What is the remainder when 60 is divided by q?
23
Let h(o) = o**3 - 62*o**2 + 130*o - 65. What is the remainder when h(60) is divided by 258?
19
Suppose 51*c - 2562 = 45*c. Suppose 0 = 251*n - 258*n + c. Calculate the remainder when n is divided by 22.
17
Suppose 7*r - 4*r - 6 = 0. Suppose -4*h + 70 = -i, r*h = -2*i + 40 - 10. Let t(f) = -f**3 + 3. What is the remainder when t(-3) is divided by h?
13
Let s(l) = 57*l**2 + 83*l + 6. Calculate the remainder when s(-3) is divided by 24.
6
Suppose -l + 236 = -4*q - 384, 0 = -4*l + 4*q + 2516. What is the remainder when l is divided by 18?
2
Suppose 0 = -p - 3*p + 44. What is the remainder when (10810/161)/(1/7) + 9/(-1) is divided by p?
10
Suppose -4*q + 3708 = -3*n + 8*n, -4*q - 3*n + 3716 = 0. Calculate the remainder when q is divided by 17.
14
Let b = 65 + -46. Let r = 22 - b. Suppose -3*v - 96 = -0*g - r*g, 4*g - 107 = -3*v. Calculate the remainder when 86 is divided by g.
28
Let f(a) = a**3 + 9*a**2 - 4*a. What is the remainder when f(-9) is divided by (1 + -3)*(-24)/(-16) - -25?
14
What is the remainder when 556 is divided by (-3670 - 9)/(-13) - 8?
6
Suppose 5*y + 69 = 2*i, 21*i - 16*i - 3*y - 220 = 0. What is the remainder when 305 is divided by i?
23
Suppose 45*n - 6119 = -719. Calculate the remainder when ((-4470)/n)/(1/(-4)) is divided by ((-30)/(-9))/(1/15).
49
Suppose -4*l + 28 = -92. Suppose 61*q - 36140 = -8751. What is the remainder when q is divided by l?
29
Let u = 685 - 416. Calculate the remainder when u is divided by 97.
75
Let l = 32 + -26. Suppose -19*r + 19 = -0. What is the remainder when 103 is divided by l/r*9/2?
22
Suppose -9*i + 300 = -5*i. Let h(c) = -17*c**3 + 2*c**2 + 15*c + 33. Calculate the remainder when h(-2) is divided by i.
72
Suppose s = -1 - 5. Let d = -3489 + 3496. Calculate the remainder when 295/9 + s/(-27) is divided by d.
5
Suppose -9*o = o - 130. Let a be 640/((-4)/(-18) - o/18). Calculate the remainder when (30/(-25))/(6/a) is divided by 43.
41
Let s = -57 - -64. Suppose 2*a - 445 = -3*a. Suppose -2*u = -5*r - 41, -6*u + u + a = r. What is the remainder when u is divided by s?
4
Let n(t) = 9*t**2 - 5*t - 14. What is the remainder when 102 is divided by n(-3)?
20
Let o = -15049 - -16280. Calculate the remainder when o is divided by 37.
10
Let n = 4 - -2. Let w(m) = m**3 + 63*m**2 - 340*m + 23. Calculate the remainder when w(-68) is divided by n.
5
Calculate the remainder when 5527 is divided by -6 - 9/((-90)/410).
32
Let x(b) = b**3 + 3*b**2 + 