 remainder when 2507 is divided by m?
6
Let t be (-100)/(-36) + (44/36 - 1). Suppose -i + 85 = t*u - 3*i, 75 = 2*u - 5*i. Calculate the remainder when 69 is divided by u.
19
Let x(d) be the second derivative of d**5/5 + 8*d**4/3 - d**3/6 + 19*d**2/2 - d. Calculate the remainder when x(-8) is divided by 14.
13
Suppose 0 = 2*u - 2*b - 16, 91*u = 90*u - 3*b + 8. What is the remainder when 133 is divided by 4833/108 + 10/u?
41
Let a be 12/(-4 - -8) + 0/(-2). Suppose -4*z = 4*n - 608, -465 = -a*z + 3*n + 15. Calculate the remainder when z is divided by 32.
28
Suppose 46*g = 54021 - 2571 + 17918. What is the remainder when g is divided by 84?
80
Let w(b) = b**2 + 21*b + 145. Suppose 2*r = 5*r - 42. What is the remainder when w(-12) is divided by r?
9
Let k = -70 - -76. What is the remainder when -7*k/84*-8 + 210 is divided by 44?
38
Suppose -10*g - 69 = -7*g. Let a = g - -8. What is the remainder when 46 is divided by (4/(-18) + a/54)*-24?
10
Let u(l) = 89*l - 23. Let c be u(3). Let m = 557 - c. Suppose -m = -4*p + 175. Calculate the remainder when p is divided by 31.
29
Let j = -13 - -80. Let p = -792 - -809. Calculate the remainder when j is divided by p.
16
Suppose 4*s + 14*f - 166 = 12*f, 48 = 2*s - 4*f. What is the remainder when 106 is divided by s?
30
Let i = -55 + 95. Suppose 95 = 5*p - 5*z, -4*z = -3*p + i + 12. Let w = -11 + p. Calculate the remainder when 18 is divided by w.
5
Suppose -5*t + 142 + 83 = 0. Calculate the remainder when 65 is divided by t.
20
Suppose -5*c - 4*j + 8114 = 0, 2*c - j - 4548 = -1305. Calculate the remainder when c is divided by 28.
26
Calculate the remainder when (5645/(-30))/(-1) + 32/(-192) is divided by (0 + (-1)/(-2))*64.
28
Suppose 4*o = -5*t + 196, -3*t - 33 + 45 = 0. Calculate the remainder when 146 is divided by o.
14
Let h = -441 + 486. Let b be 2 - (-6013 + -2 - 1). Calculate the remainder when b/(-17)*(-1)/2 is divided by h.
42
Let k(v) = -10*v + 8. Let p be k(-3). Suppose p - 54 = -f. Suppose 5*b - 5*t = 25, -4 = 5*b - 3*b + 5*t. Calculate the remainder when f is divided by b.
1
Let l(z) be the second derivative of 19*z**4/2 + 2*z**3/3 + z**2 - 97*z. What is the remainder when l(-1) is divided by 63?
49
Suppose 8*v - 28*v = 45*v - 53755. What is the remainder when v is divided by 69?
68
Let p = -18525 + 19944. What is the remainder when p is divided by 10?
9
Let a(c) = -41 + 666*c**3 + 6*c**2 - 27*c**2 + 4*c - 665*c**3. Calculate the remainder when a(21) is divided by 37.
6
Let h(w) = 11915 + 11*w - 3*w - 11914. Suppose 0 = -3*y + g + 6, -6 = -0*y - 3*y - 3*g. What is the remainder when 66 is divided by h(y)?
15
Let k be 50996/171 - (-1 - 11/(-9)). Suppose -k - 262 = -16*a. What is the remainder when 49 is divided by a?
14
Calculate the remainder when (-36)/27 - 847/(-21) is divided by 20 + -1 + (4 - 2).
18
Suppose 3*o - 47 = 2*o - 4*t, 2*t - 151 = -3*o. Let m = 135 - 248. Let l = -100 - m. What is the remainder when o is divided by l?
12
Suppose -78*t + 480 = -30*t. Let f(g) = g**3 - 12*g**2 + 24*g - 24. Calculate the remainder when 63 is divided by f(t).
15
Let g(b) = 125*b**2 + b - 2. Let v(a) = a**2 - 8*a + 12. Let x be v(5). Calculate the remainder when g(1) is divided by 1/x + 228/9.
24
Let b be 4 + -3 + 3 + 1 + 0. Let h be (-1)/(-4) - 2/(3 + b). Suppose -3*p + p + 5*r + 24 = h, -5*p = -2*r - 81. Calculate the remainder when p is divided by 7.
3
Let i(l) = -l**3 + 4*l**2 + l - 4. Let a be i(-3). Suppose 2*p + 70 = -4*v, 3*v - a = p - 16. Let m = -32 - p. What is the remainder when 21 is divided by m?
1
Let b = 395 - 380. Suppose 5*n - b*n = -330. Calculate the remainder when 90 is divided by n.
24
Suppose 0 = 510*y - 1299871 - 474419. Calculate the remainder when y is divided by 129.
125
Let k(z) = 4*z**2 + 14*z + 13. Let b(v) = v**3 - 15*v - 9. Let g be b(4). Calculate the remainder when 76 is divided by k(g).
33
What is the remainder when 511 is divided by -5 + 3 - -1 - (2 - 11)?
7
Let m be ((-8)/6 - -1)/((-22)/(-330)). Let j be 20/(-100) + 124/m. Let l = 51 - j. Calculate the remainder when l is divided by 11.
10
Let q be 138*15/12*(-56)/20. Let h = 1447 + q. Calculate the remainder when h is divided by 69.
67
Let t(u) = 2*u**2 - u - 9. Let f be t(3). Suppose 87 = f*m - 105. Calculate the remainder when 413 is divided by m.
29
Let u be ((-3)/2)/((-9)/(-12)) + 5. Suppose 6*l - 94 = l - o, 3*o = -3*l + 66. What is the remainder when l is divided by -1 + (3 - 2) + u - -4?
4
Let i = 18 + -26. Let b = i + 12. Suppose -128 = b*u - 8*u. What is the remainder when u is divided by 7?
4
Let y = -4349 - -4362. Let c be (-4)/(-2) - (1 - 109). Suppose 3*g - y*g = -c. What is the remainder when g is divided by 9?
2
Let l be (218/(-10) - 1)/((-183)/(-2440)). Let y = -135 - l. Calculate the remainder when y is divided by 19.
17
Let k = -1029 - -1076. What is the remainder when 93 is divided by k?
46
Let n = -17967 - -18011. Calculate the remainder when 25034 is divided by n.
42
Let v be (-14)/4*(-5)/2*12. Suppose -23*l + 20*l - v = 0. Calculate the remainder when 109 is divided by (28/l)/(6/(-285)).
33
Let o = -14325 - -16746. What is the remainder when o is divided by 97?
93
Let w = 784 - 266. Let t be ((-3)/(-5) + 0)*(w - 3). Suppose t = 11*a - 8*a. What is the remainder when a is divided by 21?
19
Suppose 24*d - 1571 - 368 = 5. Calculate the remainder when d is divided by 31.
19
Let w = -183 + 125. Let p(t) = 4*t**2 + t + 1. Let h be p(3). Let k = h - w. Calculate the remainder when k is divided by 51.
47
What is the remainder when (-176160)/(-384)*(-1712)/(-20) is divided by 165?
164
Suppose 33*m - 32*m = 3*x + 67, 4*m - 5*x - 254 = 0. What is the remainder when m is divided by 38?
23
Suppose 4 - 6 = -y. Suppose 0*j = -4*a + y*j + 100, 10 = 5*j. Calculate the remainder when 202 is divided by a.
20
Suppose 1575 = -117*m + 192*m. Calculate the remainder when 134 is divided by m.
8
Suppose -2*d = 4*w - 548, 6*d + 93 = w + d. Calculate the remainder when 1352 is divided by w.
22
Let r be -3*(-3 - (-66)/(-9)). Suppose -22 = 3*w - l + 1, 3*w + r = 5*l. Let u = w + 113. Calculate the remainder when u is divided by 36.
34
Suppose 0 = -9474*z + 9454*z + 2060. Suppose 0 = b + 4*i + 3, -2*i - i = -2*b + 38. Calculate the remainder when z is divided by b.
12
Let w = 664 - 663. Calculate the remainder when -4 - (3/((-9)/849))/w is divided by 26.
19
Suppose -2*z = -4*c, -3*z + 18 = 5*c - 4. Suppose 0 = -k + z*j - 0*j + 20, -k = 3*j - 20. Calculate the remainder when 119 is divided by k.
19
Suppose -2*g = -0*g + 10. Let l = g - -8. Let c(x) = 2*x**2 + 67*x - 128. What is the remainder when c(2) is divided by l?
2
Suppose 5*u = -f + 20, -4*u + 0*f + 3*f + 16 = 0. Suppose 13959 = 67*h - 20*h. What is the remainder when h is divided by u?
1
Suppose 12 = 13*n - 430. Suppose -x + 3*a + 86 = 0, 29*x + 430 = n*x - 4*a. Calculate the remainder when x is divided by 28.
2
Suppose -32 = -l - 3*l. Let n be 18 + (-19)/1 - -1*4. Suppose l - n = j. What is the remainder when j is divided by 3?
2
Suppose -l = 13*l + 350. Let o = l + 23. Calculate the remainder when (35 - (3 + 2)) + (-6)/o is divided by 9.
6
Let w = 441 + -879. Let o = -422 - w. Let m = -8 + 149. What is the remainder when m is divided by o?
13
What is the remainder when ((-12)/9)/((-136)/22644) is divided by 64?
30
Let a = 60 + -58. Suppose -y = -a, 0 = 3*b + 3*y - 7*y - 76. Calculate the remainder when 83 is divided by b.
27
Let t(g) be the second derivative of g**5/20 - 2*g**4/3 + 23*g**3/6 - 6*g**2 - g - 25. What is the remainder when 31 is divided by t(4)?
15
Let t = -21411 - -22293. What is the remainder when t is divided by 148?
142
Suppose -4*h = h - 630. Let b = -67 + h. Let m = b - 31. Calculate the remainder when 55 is divided by m.
27
Let p be 8/(-6) - 3432/(-117). Suppose 52 = 4*c + p. What is the remainder when 34 is divided by c?
4
Let u(l) = -361*l - 265. Calculate the remainder when u(-2) is divided by 90.
7
Suppose -55 = -12*h - 7. Suppose 3*u - 2*x - 8 = 67, 0 = -h*u - x + 89. Calculate the remainder when 111 is divided by u.
19
Suppose 0 = 2*g - 3*g + n - 1, -19 = -g - 3*n. Suppose g*s = 35 + 57. What is the remainder when 111 is divided by s?
19
Suppose 15*t - 1056 - 369 = 0. Calculate the remainder when 169 is divided by t.
74
Let m(i) = i**