remainder when 1 + -4 - (x + 1) is divided by 5?
2
Suppose 3*w = -w + 260. Let v be 1 + -1 - (-1 - -1). Calculate the remainder when w is divided by 18 - (v - (1 - 6) - 4).
14
Let h = -154 + 539. Let b = 612 - h. What is the remainder when b is divided by 21?
17
Suppose 6*v - 47 = -95. Let c(n) = -n**3 - 6*n**2 - 21*n - 25. What is the remainder when c(v) is divided by 39?
37
Suppose 6002 = -113*b + 117*b + v, -b = 4*v - 1523. Calculate the remainder when b is divided by 50.
49
Suppose -7*k = -3*k - 104. Let g = -44 - -48. Suppose 3*c = g*q - 89, -2*q + 23 = 3*c - k. What is the remainder when 67 is divided by q?
21
Suppose 562 = 2*h + 84. What is the remainder when h is divided by 41?
34
Suppose l + 3 = 2*l + 2*x, x = -3. Suppose 5*q - l = 2*q. Calculate the remainder when 24 is divided by q.
0
Let s = -22 + 171. Let f = 106 - s. Let y = f + 49. What is the remainder when 9 is divided by y?
3
Suppose -3*c + 305 = w, -506*c + 504*c = 2*w - 210. What is the remainder when 3598 is divided by c?
98
Let r be 6/(-5)*70*(-5)/(-20). Let l = r - -94. What is the remainder when 217 is divided by l?
71
Let z be (0 + -15)*(-1 - 4). Suppose 3*x - 7*c + 180 = -10*c, 5*c - 85 = 2*x. Let v = z + x. Calculate the remainder when 74 is divided by v.
14
Let x = -16 - -27. Suppose -15229*j = -15209*j - 2560. What is the remainder when j is divided by x?
7
What is the remainder when 511 is divided by 343/2*(-49)/((-7203)/210)?
21
Suppose 4*b - 5*s = -b + 95, b + 5*s - 7 = 0. What is the remainder when 59 is divided by b + (-4 + (-55)/(-15))*6?
14
Let r(a) = a**3 - 2*a**2 + 3*a - 65. Suppose -p + 13 = -5*v + 2, 0 = -4*v - 4. Calculate the remainder when r(p) is divided by 25.
22
Suppose -4826*z = -4821*z - 55. Let u(a) = 2*a + 1. Let y be u(1). Suppose -g + y*g = 80. Calculate the remainder when g is divided by z.
7
Let p = 1206 + -1268. Let l(i) = 5*i - 2. Let y be l(4). Let f = y - p. What is the remainder when f is divided by 22?
14
Let z(i) = i**2 - 11*i - 7. Let f(p) = -5*p**2 + 44*p + 26. Let w(s) = -2*f(s) - 9*z(s). What is the remainder when 3 is divided by w(-10)?
0
Suppose 1122 = -687*f + 698*f. What is the remainder when 303 is divided by f?
99
Let l(c) = -886*c + 7981. Calculate the remainder when 474 is divided by l(9).
5
Suppose 230 = -f + 6*f. Let a = -187 - -266. Let t = a - 66. Calculate the remainder when f is divided by t.
7
Let j be (3 + -2)/(8/1432). Suppose -14*a - j = -823. Suppose 2*p = -2*p + 3*g + 47, 5*p + 2*g = 30. Calculate the remainder when a is divided by p.
6
Suppose 0 = -2*h + 16*x - 12*x + 428, -649 = -3*h - x. Suppose 20*n - h = 12*n. What is the remainder when n is divided by 17?
10
Let n = -1568 + 1591. Suppose 6 = -3*d + 5*d. Calculate the remainder when (d*5)/(9/54) is divided by n.
21
Suppose -4*a - 290 = -h + 4*h, 0 = 4*a + 20. Let n = 89 + h. Calculate the remainder when n/((-1)/(-3))*(7 + -36) is divided by 10.
7
Let d(n) be the first derivative of n**3/3 + 17*n**2/2 + 138*n - 281. Calculate the remainder when d(-19) is divided by 59.
58
Calculate the remainder when 59723/13 + (-107)/1391 is divided by 73.
68
Let s(b) = -b**2 - 32*b - 58. Let u be s(-30). Suppose -112 = -u*d - 6*d. Let t(c) = -c + 40. Calculate the remainder when t(0) is divided by d.
12
Let h(i) = i**2 + 13*i + 51. Let n be h(-7). Suppose -l = -5*j + n*j - 341, 0 = -3*j - l + 257. What is the remainder when j is divided by 13?
6
Let j be -3*(-1)/2*2. What is the remainder when (-27 - -21)*(-28)/40*5 is divided by (j - -1)*(-4)/(-2)?
5
Let y = -36 + 39. Suppose h - 4*b - 10 = 7, 4*h - y*b - 29 = 0. Suppose 0*n + 4*n - 132 = h*u, -2*n + 66 = -u. Calculate the remainder when n is divided by 18.
15
Let a be 5/20 + 5/(120/42). Suppose 5*y = 50*k - 46*k - 64, 5*k + a*y = 113. Calculate the remainder when 96 is divided by k.
12
Let p(k) = 8*k + 102. Let g = -45 + 95. Suppose -4*o - 2*h + g + 6 = 0, 3*h + 24 = 3*o. Calculate the remainder when p(-4) is divided by o.
10
Let g(t) = -2*t**2 + 23*t + 161. Let r be g(-12). Let q = r - -460. What is the remainder when q is divided by 48?
9
Suppose -48*k = -58*k + 140 + 360. What is the remainder when 816 is divided by k?
16
Let d = -2199 - -2217. Calculate the remainder when 389 is divided by d.
11
Let y(r) = 7 + 94*r + 92*r - 267*r + 92*r. What is the remainder when 199 is divided by y(3)?
39
Let s(p) = p**2 + 24*p - 232. Let u be (-4)/6*(-90)/20. What is the remainder when (15/(-6) + u)*190 is divided by s(8)?
23
Let d(o) = 6*o - 2 - 3 + 6*o**2 + 15 - 6. Suppose 237 = -3*f + 6*f. What is the remainder when f is divided by d(-3)?
39
What is the remainder when ((-342)/(-1140))/(6/23080) is divided by 48?
2
Let n = -59 - -106. Let k = n - 31. Let y = -1364 - -1395. Calculate the remainder when y is divided by k.
15
Let u = 72504 - 72433. Suppose -2*m = 6 - 0. What is the remainder when u is divided by -6*m/6*5?
11
Let r = 3847 - 3580. What is the remainder when r is divided by 96?
75
Suppose 948 = -925*o + 1004*o. Calculate the remainder when 2/(((-16)/210)/(-4)) is divided by o.
9
Let w = -29711 - -29774. Suppose 67 = 2*j + 3. What is the remainder when w is divided by j?
31
Let o(c) = -5*c + 38. Let t be o(7). Suppose f - 154 + 17 = -2*d, 2*d + t*f = 139. Calculate the remainder when d is divided by 24.
20
What is the remainder when 9*(115025/225)/43 is divided by 130/2*(-4)/(-10)?
3
Suppose 3*r - 99 = 156. Suppose 15 + r = 4*h. Suppose -124666 = -19*w - 122348. Calculate the remainder when w is divided by h.
22
Let y = -23 + 73. Let j = 623 + -612. What is the remainder when y is divided by j?
6
Suppose -2935 = -2*i - 5*t, -4*t + 5 = 33. What is the remainder when i is divided by 146?
25
Suppose -33727 = -20*n + 14433. What is the remainder when n is divided by 73?
72
Let r be 2 + 3 - (-6)/(54/9). Calculate the remainder when 45 is divided by ((-16)/r)/(1/((-15)/10)).
1
Let c = -571 + 545. What is the remainder when (224/(-104) - 4/c) + 43 is divided by 21?
20
Let s(r) = -r**3 - 2*r**2 + 3*r - 4. Let l be s(-3). Let k = 23 + l. What is the remainder when 53 is divided by k?
15
Suppose 11*x - 7*x = 76. Suppose 2*m = -6 + 22. What is the remainder when (-10 - -5)/(-10)*9*m is divided by x?
17
Let x be (3 - (-9)/(-4))*(9 + -5). Suppose -13*v = -9*v, -2*v = -x*c + 216. Calculate the remainder when c is divided by 25.
22
Suppose -7*r = -r - 450. Let i = -72 + r. Suppose 0 = -i*o - 4*b + 77, -b + 94 = o + 3*o. What is the remainder when o is divided by 12?
11
Suppose -4*k - 123 = 2*q + 3*q, 2*q - 75 = 3*k. Let i = 0 - k. What is the remainder when 85 is divided by i?
4
Let p = -10 + 16. Let v be (-1 - 2/p)/((-16)/(-72)). Calculate the remainder when 17 is divided by 4/2 - -1*v/(-3).
1
Suppose 0 = -5*x - y + 287, 5*y - 130 = -5*x + 145. Calculate the remainder when 436 is divided by x.
30
Suppose 5*t = 2*u + 109, -4*t + 165 = 3*u + 64. Suppose -60 = -2*z + 106. What is the remainder when z is divided by t?
14
Let x = -26580 + 26586. What is the remainder when 4436 is divided by x?
2
Let l(x) be the third derivative of -5*x**4/8 - 6*x**3 - 2*x**2 - 139*x. Calculate the remainder when 114 is divided by l(-3).
6
Let k(n) = 10*n**2 + n - 7. Let r(o) = -28*o**2 - 4*o + 22. Let z(y) = 17*k(y) + 6*r(y). What is the remainder when z(2) is divided by 6?
1
Let j(t) = 12*t**2 - 3. Let z = -17721 - -17758. Calculate the remainder when j(3) is divided by z.
31
Let n be -2*123/4*102/(-153). Let s = n - -36. What is the remainder when 303 is divided by s?
72
Suppose 102*s = 120545 + 95899. Calculate the remainder when s is divided by 36.
34
What is the remainder when 416 is divided by ((-3)/(-2))/((-120)/(-16080))?
14
Let v(h) = -4*h**3 + 2*h**2 - 3*h - 5. Let g be (-8 + 19 + -7)*2/(-4). Suppose f = -2*f + 45. Calculate the remainder when v(g) is divided by f.
11
Let s = -192 - -287. Suppose 10*v - 565 = s. Calculate the remainder when v is divided by 35.
31
Let s = 3451 - 3430. Let d = 5 + -5. What is the remainder when (d - -95) + 6/2 is divided by s?
14
Suppose 74*u - 4387 = 2199. Calculate the remainder when 92 is divided by u.
3
Suppose 0 = 5*p - 14 - 41. Let f = 88 - 85. Suppose 2*q = -f*q + 4*k + 104, 5 = -5*k. Calculate the remainder when q is divided by p.
9
Calculate the remainder when 26*(6 + -8 + 135/6) is divided by 91.