 the remainder when 24 is divided by a.
4
Suppose 0 = 2*v + 4*i + 207 - 679, 0 = 2*v + 5*i - 471. Suppose -23*m + 19*m + 2*a + 234 = 0, -5*a = -2*m + 97. What is the remainder when v is divided by m?
55
Let h(j) = j. Let x be h(2). Suppose -l - x*r + 8 = -r, 4*l - 35 = -3*r. What is the remainder when l is divided by 309/(-824) + (-53)/8 - -11?
3
Suppose -84*g + 624 = -81*g. What is the remainder when g is divided by 131?
77
Suppose -4*p = 2*p - 3594. Let f = p - 378. Calculate the remainder when f is divided by 25.
21
Calculate the remainder when 201 is divided by (-6)/(-4)*(-30 + 0)/(36/(-8)).
1
Let p(t) = 56*t + 1023. What is the remainder when p(16) is divided by 48?
47
Suppose 23*p + 7 = 19*p + 3*m, 0 = 5*p + 5*m. Suppose 2*z - 315 = -3*z. What is the remainder when z is divided by (224/35 - 11)*p*5?
17
Suppose -3*r + 18 = 0, -93*x + 89*x + r = -690. Calculate the remainder when x is divided by 25.
24
Let d(h) = -45*h + 128. What is the remainder when 41 is divided by d(2)?
3
Let n = 43 + -29. Suppose 1188 = -10*u + n*u. What is the remainder when u is divided by 75?
72
Calculate the remainder when 235 is divided by 9 - (-959)/(-105) - 184/(-30) - -93.
37
Let d(b) = b**3 + b**2 - 3*b - 2. Let f be d(3). Suppose 55 = f*k - 20*k. Calculate the remainder when 28 is divided by k.
6
Let o be (-7)/((-42)/348) - 5. Suppose 0 = -o*j + 3292 + 2273. What is the remainder when j is divided by 56?
49
Suppose -5 - 7 = -4*a. Let q(m) = 4*m + 90. Let u be q(-21). What is the remainder when u/3*(-235)/(-47) is divided by a?
1
Let l = 192 - 122. Calculate the remainder when 39 is divided by (-5)/2*112/l - -41.
2
Let s = -295 + 116. Let m = -83 - s. What is the remainder when m is divided by 32?
0
Suppose 0*l = -l - 1. What is the remainder when 708/84 + 4/7 is divided by (l/(-3))/((-4)/(-48))?
1
What is the remainder when -1*-128*(0 - -1) is divided by 54/(-9) - (30 + -74)?
14
Let p = 367 - -150. What is the remainder when p is divided by 17?
7
Let l(j) = j**2 - 11*j + 19. Let r be l(10). Let p(m) = -2*m**2 + 18*m + 5. Calculate the remainder when 12 is divided by p(r).
2
Suppose -2*h = -3*h + 29. Let t = 3497 + -3452. Let v = t - h. Calculate the remainder when 60 is divided by v.
12
Suppose -4*a - 1310 = -2*z - z, 4*a = 4*z - 1752. Calculate the remainder when z is divided by 116.
94
Calculate the remainder when ((-370)/6)/((-235)/846) is divided by 46.
38
Let r = -14 - -31. What is the remainder when (16/(-10))/((-14)/35) - -216 is divided by r?
16
Let a(d) = -2*d + 3. Let l be a(3). Let f = 1 - l. Let c(o) = -o**3 + 6*o**2 + 206*o - 116. Calculate the remainder when c(-12) is divided by f.
0
Suppose -3*d + 164 + 412 = 5*s, 5*s - 212 = -d. What is the remainder when 555 is divided by d?
9
Suppose 3*y = -5*v + 1321, -5 = -5*v + 5. Let j = 448 - y. Calculate the remainder when 95 is divided by j.
7
Suppose 38*l - 63117 = 6195. What is the remainder when l is divided by 22?
20
Suppose 2*i + h + 613 - 4586 = 0, 0 = -2*i - 2*h + 3972. Calculate the remainder when i is divided by 32.
3
Suppose -2*b + 253 = -r, b - 144 = -0*b - 3*r. Let z = 13664 - 13645. What is the remainder when b is divided by z?
15
Suppose 3*r + 2*b - 61 = -2*b, -5*r = -3*b - 63. Let q be (2 + 18/2)*5. Let p = q - 11. What is the remainder when p is divided by r?
14
Let b = -87 + 86. Let c be 4/((b - (-88)/20) + -3). Suppose -3*i - w + 18 + c = 0, -2*i = -4*w - 28. What is the remainder when 28 is divided by i?
8
What is the remainder when ((-372)/15)/(94/(-235)) is divided by 6?
2
Let x = -7433 + 7683. Calculate the remainder when x is divided by 17.
12
Suppose 33*b + 11*b - 57614 + 17266 = 0. Calculate the remainder when b is divided by 92.
89
Calculate the remainder when ((-662)/(-8))/((-371)/(-1272)*8/28) is divided by 59.
49
Let n = -1893 + 2020. What is the remainder when 1663 is divided by n?
12
Let j(z) = 29*z + 1436. Calculate the remainder when j(-29) is divided by 584.
11
Suppose -n - 1340*m = -1342*m - 3396, 6 = -m. Calculate the remainder when n is divided by 843.
12
Let k(p) be the second derivative of -4*p**3/3 - 5*p**2/2 + 130*p. What is the remainder when k(-5) is divided by 23?
12
Let j = 27158 + -27105. Calculate the remainder when 83 is divided by j.
30
Suppose -3*b = -9913 + 9640. Suppose 0 = -3*r + 2*i - 12 + 86, 4*i + 76 = 3*r. What is the remainder when b is divided by r?
19
Let o = -676 + 691. Calculate the remainder when 17 is divided by o.
2
Let h(f) = f**2 - 64*f + 4504. What is the remainder when h(69) is divided by 211?
207
Suppose 468 = 3*w + 3*j, -4*w - 73*j + 72*j = -636. What is the remainder when w is divided by 78?
4
Suppose -27*r + 18*r = -21*r + 45312. Calculate the remainder when r is divided by 12.
8
Let j(x) = 3*x**2 + x - 1. Let p(z) = z**2 + z - 1. Let s(f) = -j(f) + 2*p(f). Let l be s(6). Let d = 70 + l. What is the remainder when d is divided by 22?
17
Suppose 0 = 19*j - 11*j - 15*j + 196. What is the remainder when (-324)/5*(-400)/32 is divided by j?
26
Let a = -151 - -44. Let r = 62 + a. Let b = r - -54. What is the remainder when 16 is divided by b?
7
Let b = -3398 + 3721. What is the remainder when b is divided by 40?
3
Suppose 466*l = 474*l - 312. Suppose 3*m + 3*p = 2*m + 440, -3*m - 3*p = -1296. Calculate the remainder when m is divided by l.
38
Suppose -395*g + 392*g = -243. Suppose -3*p = -a - 580, 2*p - 2*a - 307 - g = 0. Calculate the remainder when p is divided by 51.
40
Suppose 207765 = -887*g + 545712. Calculate the remainder when 522 is divided by g.
141
Let i be ((-4)/7)/(16/(-56)). Suppose i = -w + 5. Suppose 5*f - u = 3, u + w = 5. What is the remainder when f is divided by 1?
0
Let q(m) = 4*m - 37. Let w be q(-4). Let l = w + 80. What is the remainder when 592 is divided by l?
25
Let v be 1/(-5) + 5/(150/1866). Suppose -v + 31 = -b. Suppose 0 = b*a - 34*a + 516. Calculate the remainder when a is divided by 29.
27
Let y be (78 - (-72)/(-9))*2. Let r = y + -139. What is the remainder when 6 is divided by r?
0
Let q = 22861 - 22404. Suppose 1 = j, m = -3*j - j + 50. What is the remainder when q is divided by m?
43
Suppose 71*v + 5224 - 41509 - 12989 = 0. What is the remainder when v is divided by 2?
0
Let b = 45843 + -14101. Calculate the remainder when b is divided by 16.
14
What is the remainder when 586 is divided by -1 - (-11 - (23 - -5)/(-4))?
1
Let h be (10/(-4))/(((-7)/2)/7). Let q = 40 + h. Calculate the remainder when 144 is divided by q.
9
Suppose s = 5*q - 15, -4*s - s = 25. Suppose 218 = -5*f - 3*c, 5*f = 2*c + q*c - 211. Let j = 46 + f. Calculate the remainder when j is divided by 2.
1
Let n(d) = -d**3 + 21*d**2 - 18*d - 36. Let k be n(20). Suppose 0 = k*b - 13 - 31. Calculate the remainder when 43 is divided by b.
10
Suppose 44 = 3*o + 5*v, -4*v = 3*o - 9*v - 94. Suppose 8*w + o = 95. Calculate the remainder when (9/(-3))/(-21) + 1846/14 is divided by w.
6
Let f(y) be the second derivative of y**5/10 + 5*y**4/6 - y**3/6 + 23*y**2/2 + 6*y - 4. What is the remainder when 121 is divided by f(-5)?
9
Suppose -2*j - 2*g + 24 = 0, 4*j = -3*g + 4 + 40. Suppose 2*v + j*v = 30. Suppose -v*x = -x - 70. What is the remainder when x is divided by 13?
9
Let l = -13132 + 13307. Calculate the remainder when 859 is divided by l.
159
Suppose 6*u - 25*u = u - 10000. Calculate the remainder when u is divided by 160.
20
Let p(k) = -92*k**3 + 2*k**2 - 3. Calculate the remainder when 138 is divided by p(-1).
47
Suppose 14*p = -4*p - 378. What is the remainder when 113 is divided by 28/p*(-33)/4?
3
Suppose -2*l + 12 = 3*h, 0 = -4*h + 3*l - l + 16. Suppose 0 = h*z, 2*j + 5*z - 8 = 18. What is the remainder when j is divided by 8?
5
Suppose 3*r + 80 = -0*r - 5*y, 4*r + 4*y + 96 = 0. Let g = -14 - r. Suppose -g - 2 = -q. Calculate the remainder when 39 is divided by q.
7
Let q be (-42)/189 + 3560/(-18). Let h = 220 + q. Calculate the remainder when 79 is divided by h.
13
Suppose 4*o + 7 - 55 = -4*d, 2*d - 24 = 4*o. Suppose -3*y - 109 = -3*c + 26, 0 = 5*c + y - 189. What is the remainder when c is divided by d?
3
Suppose -21 = 5*h - 31. Suppose h*i - 3*q - 17 = 2, -3*i = -2*q - 21. Calculate the remainder when 39 is divided by i.
4
Let m = -6329 - -6340. Let v be (1 - -1) + 0 + -2. Suppose x + 2*r - 15 = v, -27 = -x - 0*x + 4*r. Calcula