- 127*t = 118*t - 10144. What is the remainder when t is divided by 21?
4
Let i = -2578 + 2601. Calculate the remainder when 1439 is divided by i.
13
Let m(z) = z**3 - 2*z**2 + 4*z - 4. Let n(x) = -x + 6. Let d be n(-3). Let h = d - 3. Calculate the remainder when m(3) is divided by h.
5
Suppose 445*w + 11418 = 120888. What is the remainder when w is divided by 215?
31
Let z = -3411 + 5868. Let m = -1562 + z. Calculate the remainder when m is divided by 39.
37
Suppose 0 = 2*v - 5*z - 21, 0 = -2*z - 2*z - 4. Suppose -124*r + 347*r - 120*r + 529 = 126*r. Calculate the remainder when r is divided by v.
7
Let a(f) = 94*f - 3036. Suppose 0 = 2*v - 641 + 115. What is the remainder when v is divided by a(33)?
65
Suppose 6*d - 113 = -2*i + 3*d, 4*i + 5*d = 229. Let f = -14 + i. What is the remainder when 134 is divided by f?
40
Suppose -1122 - 246 = -24*f. What is the remainder when f is divided by 23?
11
Suppose -4*i = 4*b, -16 = 2*i - 0*b - 2*b. Suppose 0 = -3*l + 1 + 2. Calculate the remainder when 0 + (i + l - -17) is divided by 5.
4
Suppose -n + 335 = -0*n. Calculate the remainder when n is divided by -15 + (-224)/(-7) - -7.
23
Let p(b) = 6*b - 18. Let j(g) = -g**3 + 8*g**2 + 6. Let a be j(8). Let x be p(a). Suppose -6*n + x = -12. What is the remainder when n is divided by 5?
0
Let n(q) = q**2 + 12*q + 12. Suppose -4*t + 8 = 8. Suppose t*i + 5*i - 225 = 0. What is the remainder when i is divided by n(-12)?
9
What is the remainder when 231 + -5 + 2 - (1 + -3) is divided by 18?
14
Let b be (2 - (-55)/(-35)) + 118/(-14). Let r(t) = -16*t - 57. Calculate the remainder when r(b) is divided by (-208)/(-14) + 2/14.
11
Let b(l) = -244*l - 713. Let y(t) = 95*t + 16. What is the remainder when y(4) is divided by b(-3)?
16
Let i be ((-43)/3 - 5)*(5 - 2). Let k be (-8)/(-2) + -2 - i. What is the remainder when (-2)/(-10) - (-3468)/k is divided by 20?
18
Suppose 40*y - 808 = 32*y. Calculate the remainder when 208 is divided by y.
6
Let q(v) = -10*v**2 + 9*v + 2. Let z be q(4). Let t = z - -147. What is the remainder when 247 is divided by t?
22
Let s be -35*(6 - ((-45)/(-35) + 5)). What is the remainder when (387/6)/(s*(-3)/(-60)) is divided by 9?
3
Suppose -7 = m + 2*r + 5, -r - 3 = 0. What is the remainder when (-2 - (-35)/10)*(-148)/m is divided by (-8)/(-44) + (-216)/(-22)?
7
Let u(n) = -n**3 - 53*n**2 - 151*n + 6. Calculate the remainder when u(-50) is divided by 49 + (0 - (-4)/1).
3
Suppose 2*o + 32 = -2*f - 4, 2*o + 55 = -3*f. Let g = 36 + f. Calculate the remainder when 81 is divided by g.
13
What is the remainder when 670 is divided by (-3)/6*(-271 + 17)?
35
Let w(c) = -31*c + 172. Let z be w(6). What is the remainder when 29 is divided by -13 + (-1310)/(-70) - 4/z?
5
Let b(v) = v**3 + 10*v**2 - 36*v - 105. What is the remainder when b(-10) is divided by 147?
108
Let i(v) = -v**3 + 7*v**2 + 24*v - 97. Let g be i(12). Let y = 547 + g. What is the remainder when 58 is divided by y?
4
Let a = 35923 + -33933. What is the remainder when a is divided by 156?
118
Calculate the remainder when 354 is divided by (-30)/(-10)*11/22*(-194)/(-3).
63
Let b(v) = -6*v - 127. What is the remainder when 75 is divided by b(-31)?
16
Let f(g) = -20*g + 49. Let z be f(-14). Let m = z + -308. Calculate the remainder when m is divided by 10.
1
Suppose -6 = l + 2*v, 3*l + 5*v + 16 = v. What is the remainder when -10 - l - 138/(-2) is divided by 8?
7
Suppose 22*c - 24*c - 5*q + 1757 = 0, -3*q = -5*c + 4439. Calculate the remainder when c is divided by 4.
2
Let j(b) = -50*b**2 - 6*b + 8. Let w be j(2). Let i = w + 251. Calculate the remainder when 279 is divided by i.
44
Let x(n) = 15*n**2 - 48*n + 2. Calculate the remainder when 4791 is divided by x(5).
133
Suppose 408 = 3*t + 14*t. Let w = 734 - 569. What is the remainder when w is divided by t?
21
Let g = -1884 + 1905. Suppose 0*r - 2 = r. Let l = g + r. What is the remainder when 53 is divided by l?
15
Let j(i) = -i**2 + 4*i + 4. Let h be j(0). Suppose 4*b = h*t - 4, -3*t + b - 14 = -7*t. Calculate the remainder when 51 is divided by t.
0
Suppose -3*c - 3*z = -1224, -18*c + 2025 = -13*c + 8*z. Calculate the remainder when c is divided by 122.
47
Let y = -1 - -12. Suppose 0*m + y = m. Let n = -220 + 270. Calculate the remainder when n is divided by m.
6
Let h = 433 - 426. Calculate the remainder when -5 + 1 + 26 + h is divided by 8.
5
Let h be 5*4/(20/17). Suppose 0 = h*x - 212 - 77. Calculate the remainder when 33 is divided by x.
16
Let q = -119 - -134. Suppose 331*c - 348*c + 663 = 0. What is the remainder when c is divided by q?
9
Let g be 12/(-16)*4 - 128*1. Let q = g + 245. What is the remainder when q is divided by 30?
24
Let t = 129 + 52. Calculate the remainder when t is divided by (-2*(-155)/(-10))/(-1).
26
Let i(v) be the second derivative of v**5/20 + v**4/4 - 4*v**3/3 - v. Suppose -g + l = 2*g + 10, -10 = 5*l. Calculate the remainder when 61 is divided by i(g).
13
Let j = 5268 - 5186. Let s(z) = z + 7. Let r be s(-7). Suppose 5*x - 28 - 77 = r. Calculate the remainder when j is divided by x.
19
Suppose -39*b + 9985 = 9673. What is the remainder when 11 is divided by b?
3
Suppose 0*a = -5*a - 15, -4*f = a - 2629. Let s = 683 - f. Calculate the remainder when 949 is divided by s.
24
Suppose 3*u - u = 130. Let q(v) = -136 + 8*v + 19 + 7*v - 20*v. Calculate the remainder when u is divided by q(-30).
32
Let g(a) = 7*a**2 + 52*a + 155. Calculate the remainder when g(-4) is divided by 9*(-2)/5*-10.
23
What is the remainder when 976 is divided by (-36)/63 - (-47820)/140?
294
What is the remainder when 578 is divided by 238/35 + (64/20)/(-4)?
2
Suppose 1028*c - 115920 = -963*c + 542*c. What is the remainder when (-1194)/(-15)*5*1 is divided by c?
78
Suppose -15*q + 1818 + 2352 = -120. What is the remainder when q is divided by 47?
4
Suppose 0 = -0*i - 4*i + 536. Suppose -2*j = 2*x - 362, 193 = j + 71*x - 74*x. Suppose -12*p + 20*p - j = 0. Calculate the remainder when i is divided by p.
19
Let s = -578 - -585. Suppose s = j - 3*l, -j - 3 + 10 = -l. What is the remainder when 83 is divided by j?
6
Suppose -30 = -0*h - 2*h. Suppose -4*d + h = 2*q - 3*q, q = -3. Suppose g - 4*g + d*r = -57, 5*r - 10 = 0. What is the remainder when 41 is divided by g?
20
Let b = 498 - -2411. What is the remainder when b is divided by 41?
39
Let f(u) = 3*u + 14. Let d be f(-4). Let g be (d + 1 + (0 - 0))*-1. Calculate the remainder when (-1)/(g*4/912) is divided by 7.
6
Suppose 148*n - 5720 = 62508. What is the remainder when n is divided by 67?
59
Suppose -r - 2 = 0, 5*o + 5*r - 265 = -0*o. Let h = o - 51. Suppose 87 = h*s - v, -s - 2 = -0*v - 5*v. Calculate the remainder when s is divided by 5.
3
Let i(t) = 25*t - 99. Let y be i(-30). What is the remainder when 71 is divided by (-1)/(45/y) - (-2)/15?
14
Let u be ((-222)/(-4))/(9/60). Suppose 5*j - x - u = 0, -5*j - 2*x + 370 = -0*x. What is the remainder when 367 is divided by j?
71
Let t = -44 + 48. Suppose 3*v - 33 = 5*u, 44 = t*v + 8*u - 3*u. What is the remainder when 42 is divided by v?
9
Let o(p) = 3*p - 60. Let w be o(-2). Let u = -28 - w. Calculate the remainder when u is divided by 14.
10
Suppose 0 = -8*t + 4*t + 412. Suppose -l - 12*l - 3*l = -576. Calculate the remainder when t is divided by l.
31
Suppose -w = -j + 164, -3*w - 629 = w + 5*j. Let b = -2 - w. Calculate the remainder when b is divided by 28.
19
Suppose 3 = d, -d + 33 = 3*h + 222. Let k = h - -78. Calculate the remainder when 4 - -2 - 3 - -65 is divided by k.
12
Let a be (-38)/57 - (-392)/(-6). Let o = a + 66. Suppose 0 = 5*k - 4*z + 3*z - 10, 2*k + 5*z + 23 = o. Calculate the remainder when 1 is divided by k.
0
Suppose -z + 25 = 4*z. Let d(u) = -u**2 + 6*u + 1. What is the remainder when 23 is divided by d(z)?
5
Calculate the remainder when (-560)/(-3) + 1190/(-714) is divided by 138.
47
Let j(n) = 46*n - 16. Let c = 105 + -104. Calculate the remainder when j(c) is divided by 19.
11
Let l = 4831 + -4817. Calculate the remainder when 641 is divided by l.
11
Suppose -42*f + 102*f + 178*f - 3094 = 0. What is the remainder when 2040 is divided by f?
12
Suppose -5*l + 114 = -2*l. Suppose -5*g - 5*u + 650 = 0, 2231*g + u = 2233*g - 242. What is the remainder when g is divided by l?
10
Let g(n) = -52*n**2 + 468*n + 3