the remainder when r is divided by m.
23
Suppose 71*t + 10*t + 234*t = 107415. Calculate the remainder when 1342 is divided by t.
319
Let t(u) = u - 6. Let z be t(10). Let g(s) = s**2 - 5*s - 2. Calculate the remainder when g(-5) is divided by (-1)/z + 114/8.
6
Let q(j) = 25*j**2 + 11*j + 47. Let b be q(-11). Suppose 32*x = 313 + b. Calculate the remainder when x is divided by 15.
12
Suppose 4*v - 37 = 91. Let w = -113 + 116. Suppose t - 14 - w = 0. Calculate the remainder when v is divided by t.
15
Suppose -s + 18*x + 15 = 16*x, 0 = -5*s - x + 20. Suppose 29 + 158 = 2*h + s*i, -h + 2*i + 71 = 0. What is the remainder when 318 is divided by h?
75
Let i be 3 + (-6 - -12) + -5. Suppose 3*j + q = -4*q + 112, 160 = 4*j - i*q. Calculate the remainder when j is divided by 7.
4
Let m = -592 + 1256. Let c = m - 650. Let k = -21 + 47. Calculate the remainder when k is divided by c.
12
What is the remainder when 1032 + 1*(-2 - -3 - 1) is divided by ((-345)/20)/((-22)/88)?
66
Let v = -27 - -42. Let k = -4412 + 2588. What is the remainder when (-1 - 1)/(-6 + k/(-306)) is divided by v?
6
Suppose -3*m + 107 = 2*k - 115, 0 = 5*m + 3*k - 370. Let a = m + -69. Suppose 40 = d + a. What is the remainder when d is divided by 25?
10
Suppose -3*d + 1983 = 2*z, -5*z - 3*d + 7346 - 2402 = 0. Calculate the remainder when z is divided by 26.
25
Let k(r) be the second derivative of 5*r**3/6 - 23*r**2/2 - 75*r. What is the remainder when 154 is divided by k(15)?
50
Suppose 32*h + 10038 = 11*h. Let t = -425 - h. Calculate the remainder when 257 is divided by t.
45
What is the remainder when ((-5946)/15)/((-143)/715) is divided by 59?
35
Let f = 793 - 187. Suppose -12270 = -27*k - f. Calculate the remainder when k is divided by 15.
12
Suppose -j - 12 = -18. Suppose j*n = -0*n. Suppose a + 19 - 72 = -5*q, n = 2*q + 5*a - 35. Calculate the remainder when q is divided by 3.
1
Let i(o) = -o**3 - 2*o**2 + 118*o + 641. Calculate the remainder when 8396 is divided by i(-7).
56
Suppose -13*s - 7640 = -33*s. Calculate the remainder when s is divided by 65.
57
Let o(f) = -f**2 + 29*f + 83. Let x(m) = 2*m + 1. Let i(u) = o(u) - 6*x(u). Calculate the remainder when 152 is divided by i(20).
16
Calculate the remainder when (-1)/(13/(-24687)*3) is divided by 167.
132
Suppose 0*m = 4*m - 60. Let x = -290 + 348. Calculate the remainder when x is divided by m.
13
Suppose 6*k + 64 - 190 = 0. Suppose 37*c = k*c + 6864. Calculate the remainder when c is divided by 27.
24
Let j be -4 + (-9)/(-2)*(-4)/(-3). Suppose -5*x + 48 = -j*x. Calculate the remainder when 190 is divided by x.
14
Let x = 4106 + -4097. What is the remainder when 857 is divided by x?
2
Let y(t) = 1 - 3 + 1 - 30*t**2 - 1 - t**3 + 33*t**2. Suppose -1 + 3 = g. Calculate the remainder when 7 is divided by y(g).
1
Let y = 1194 - 929. What is the remainder when y is divided by 8?
1
What is the remainder when 72512/1024 - 3/(-16) is divided by 10?
1
Let m(x) = 3*x**3 - x. Let d be m(1). Suppose -z - 4*i = -11, -3*z - 3*i = d*i - 19. Suppose 9*h + 24 = 17*h. Calculate the remainder when z is divided by h.
0
Let c = -20359 - -21262. Calculate the remainder when c is divided by 91.
84
Let y(z) = z**3 + 14*z**2 - 30*z + 64. Calculate the remainder when 3711 is divided by y(-16).
31
Let g = 356 + -27. Let y = g - 312. Calculate the remainder when 63 is divided by y.
12
Calculate the remainder when (1310/104 - (-72)/468)/((-7)/(-28)) is divided by 51.
0
Let c(i) = 6*i - 65. Let k be c(11). What is the remainder when 35 + 8 - (-3)/k is divided by 18?
10
Suppose 3*g + 5*b - 153 = 47, 0 = -5*g + 3*b + 356. Calculate the remainder when 5669 is divided by g.
69
Suppose -2*n + 4 = -44. Suppose 6*h + n = 480. Let b = h - -5. What is the remainder when b is divided by 21?
18
Let u(m) = -m**3 + 15*m**2 + 5*m - 18. Let a be 12/(-3) + (-5 - -13). Let l be (24 - -6)*2/a. What is the remainder when u(l) is divided by 15?
12
Suppose -7*j - 5*j = -732. Suppose j*m = 55*m + 90. What is the remainder when 95 is divided by m?
5
Let j(h) = 4*h**3 - 9*h**3 + 4*h**3 + 14*h**2 + 5 + 8 + h. What is the remainder when j(14) is divided by 6?
3
Let x(h) = 986*h + 240. What is the remainder when x(5) is divided by 7?
4
Let h = -130 + 144. Suppose -211 = -9*b + h. Calculate the remainder when 42 is divided by b.
17
Let i(d) = -d**3 + 8*d - 15. Let p be i(-5). Let k = p + -32. Calculate the remainder when 146 is divided by k.
32
Let q(b) = b - 4. Let n be q(7). Suppose -n*c = -48 + 12. Suppose -4*a + 4*f = -0*f, 2*f = -4*a + c. Calculate the remainder when 6 is divided by a.
0
Suppose 35*m - 28*m + 21 = 0. Let t(i) = -21*i - 48. What is the remainder when t(m) is divided by 8?
7
Let u(c) = c**3 + 8*c**2 + 9*c + 5. Suppose 310*t - 19176 = -14847 + 31011. Calculate the remainder when t is divided by u(-6).
22
Suppose 2*w = 2*s - 3 - 3, s = -3*w + 3. Suppose 0 = t + o - 7, -2*t + 4*o = s*t + 10. Calculate the remainder when 64 is divided by (49 - 5)*(t - (-10)/(-8)).
31
Let h be (-8)/14*(-7)/2. Let l be (-1)/(30/33 + -1). Let b = l - h. What is the remainder when 24 is divided by b?
6
Let p(z) = -z**2 + 5*z. Suppose -5*n + 6 = 4*i - 35, n - 5 = 0. Calculate the remainder when p(i) is divided by (-2)/(-6)*((-70)/(-5) + -5).
1
Let k be ((-4532)/77 - -2)/((-1)/7). Let j = k + -335. What is the remainder when j is divided by 16?
15
Suppose 83 = -28*h + 2279 + 1304. What is the remainder when h is divided by 3/9 - 352/(-6)?
7
Let d = 234 + -117. What is the remainder when d is divided by 4 + 12/(-66) + 288/11?
27
Let l(q) = -115*q**3 - q**2 - 3*q - 2. Suppose 3*d + 5*t + 16 = 2*d, -6 = -3*d + 3*t. What is the remainder when l(d) is divided by 29?
28
Let k be (-7)/(49/(-42)) - 1. Let x(i) = 2*i**2 - 15*i + 40. What is the remainder when 26 is divided by x(k)?
11
Let i(t) = 13*t**2 + t. Suppose 223 = 4*z + 39. Calculate the remainder when z is divided by i(-1).
10
Let q = 2060 + -1951. Calculate the remainder when 2831 is divided by q.
106
Let v(h) = h**3 - 9*h**2 - 8*h - 10. Let o be v(10). Suppose -o*b + 17*b = 462. Suppose 0 = -5*m - 22 + 192. Calculate the remainder when b is divided by m.
32
Let h be (-14 + 6 - -6) + 244. Suppose -16*q + h + 78 = 0. Let a(g) = 99*g**2 + 2*g + 1. What is the remainder when a(-1) is divided by q?
18
Let v(m) = -m - 3. Let k be v(-3). Suppose k*c - c + 954 = 0. Suppose c = 4*a + 222. Calculate the remainder when a is divided by 31.
28
Let o be -6 - 260/12 - 2/6. What is the remainder when (-3988)/o - (-42)/(-98) is divided by 9?
7
Let v = -17845 - -17927. Calculate the remainder when v is divided by 27.
1
Suppose 60 = t + l, 9*t = 11*t + l - 118. What is the remainder when t is divided by -3*(-2)/(8/4) + 14?
7
Let l(k) = k**2 + 78*k + 576. Let r = 191 - 87. Suppose -x + 4*s + 148 = 2*x, -4*s - r = -2*x. What is the remainder when x is divided by l(-8)?
12
Let q(d) = -4*d**3 - 2*d**2 + 14*d - 8. Let b be q(4). Let r = -212 - b. Calculate the remainder when r is divided by (2 + -1)*(5 + 1).
4
Let g = 20 + 5. Let o be 2 + -1 + g + -1. Suppose h = -0 + o. What is the remainder when h is divided by 13?
12
Let r = -26233 - -26306. Let c(f) = 3*f**2 + 2*f + 4. Let g(h) = 2*h + 7. Let p be g(-5). What is the remainder when r is divided by c(p)?
23
Let y = 36 - 40. Let d be y - 0 - 0 - -136. Calculate the remainder when 53 is divided by (-4)/5 + d/15.
5
Let g(y) = y**3 - 62*y**2 - 107*y - 327. Calculate the remainder when g(64) is divided by 4.
1
Suppose 72*g - 67*g + 1070 = 4*u, 0 = u - 4*g - 251. Calculate the remainder when 569 is divided by u.
19
Let y be 5/(-255)*-6 + (-585)/(-85). Suppose 3*f + 3*g - 63 = 0, -2*f = -y*g + 4*g - 22. Calculate the remainder when f is divided by 5.
2
Suppose 16 = -q - 137. Let p = -148 - q. What is the remainder when 33 is divided by p?
3
Let y be -1 + -125 + 7 + (-16)/4. Let q = 135 + y. What is the remainder when 35 is divided by q?
11
Suppose 9*p - 5*p + 2*q = 568, 5*p - 710 = -4*q. Let y(b) = -b**3 + 17*b**2 - 28*b - 8. Calculate the remainder when p is divided by y(15).
10
Let g(f) = -2*f - 14. Let p be g(15). Let z = p - -72. Suppose -32*v = -z*v - 36. What is the remainder when 34 is divided by v?
7
Suppose 2*z + 5*q - 64 = 33, -3*q = -5*z + 227. Let f = 77 - z. Let v = 280 + -190. Calculate the remain