9
Suppose -69*t - 61*t - 20 = -131*t. Calculate the remainder when 4057 is divided by t.
17
Suppose 188*w = 189*w - 5*x - 1752, 5*w - 8914 = 3*x. Calculate the remainder when w is divided by 368.
315
Let v be ((-4)/8)/(2/8). Let a be (5 - 3)/v + -8. Let o = 27 + a. What is the remainder when 34 is divided by o?
16
Suppose 1200 = 662*h - 646*h. Calculate the remainder when 488 is divided by h.
38
Let h(s) = -2*s - 15. Let c be h(-9). Suppose -2*q = 3*r + 199, c*q + 0*q = -5*r - 332. Let a = r + 69. What is the remainder when 6 is divided by a?
0
Let t(f) = -2*f**2 + 334*f - 9973. Suppose 214 = i - 12. What is the remainder when i is divided by t(39)?
6
Let v = -11957 - -14102. Calculate the remainder when v is divided by 24.
9
Suppose 399*u - 998 = 380*u + 408. What is the remainder when 348 is divided by u?
52
Suppose -32*d = -37*d + 10. Suppose q + 100 = 4*y, -y - d*q = -9 - 16. Calculate the remainder when 42 is divided by y.
17
Let y = -72399 - -72401. Suppose 0 = -2*x - x + 6. Calculate the remainder when x is divided by y.
0
Suppose -4*o + c - 6*c = 291, -3*o = -2*c + 247. Let l = o - -83. Suppose -y + 49 = 2*w + w, l*w - 57 = -3*y. What is the remainder when 51 is divided by w?
15
Suppose -j - 10 = -2*o + 3*j, 3*j - 6 = -3*o. Suppose -13*c + o*i = -8*c - 61, -i - 2 = 0. Calculate the remainder when c is divided by 2.
1
Let q be (2/(-8) - (-3)/(-4))*-7. Suppose q*l - 621 - 576 = 0. Calculate the remainder when l is divided by 53.
12
Let o = 4409 + -4297. Calculate the remainder when 2346 is divided by o.
106
Let i be (77/(-14) - -6)*54. Let c = i - -33. Calculate the remainder when c is divided by 31.
29
Let j(w) = 3*w**3 + 196*w**2 - 141*w - 416. Calculate the remainder when 419 is divided by j(-66).
63
Let q(t) = -t**2 + 122*t - 801. Calculate the remainder when 405 is divided by q(7).
1
Calculate the remainder when 59986/(-89)*(0 - 1/2) is divided by 73.
45
Let b(j) = j**2 + 3*j + 3. What is the remainder when 3 - (6 + -8 + 5 + -119) is divided by b(5)?
33
Let l be 36/(-12) + (-1438)/(-2). Suppose 7*r - 670 = l. What is the remainder when r is divided by 26?
16
Let q = -3318 + 3908. Calculate the remainder when q is divided by 145.
10
Let t(o) = 3*o - 1 + 8 + 2*o**3 - 3*o**3 + 3*o**2 + 2*o. Let p(g) = 3*g**2 - g + 14. Calculate the remainder when p(5) is divided by t(4).
7
What is the remainder when (-25036)/(-77) - ((-17)/51)/(7/(-3)) is divided by 104?
13
Let w = -4 + 13. Suppose 18*z + 354 = 19*z. Suppose 0 = -5*v + 4*m + z, v - 3*m = -4*m + 69. What is the remainder when v is divided by w?
7
What is the remainder when 338 is divided by (140/(-42))/((-465)/153 + 3)?
83
Let w(g) = g**3 + 15*g**2 + 37*g + 24. Calculate the remainder when 9 + 0 + 3 + (10 - 7) is divided by w(-12).
3
Let h(d) = -d**2 + 16*d + 16. Let w be h(15). Let q = w - 25. Let a(t) = t**3 - 5*t**2 - 7*t + 19. Calculate the remainder when 22 is divided by a(q).
9
Let q(s) = -79*s + 100. Calculate the remainder when 2897 is divided by q(1).
20
What is the remainder when (3 - 21/(-6))*(-86)/(-559) - -3271 is divided by 205?
197
Suppose 0 = 3*h + 4*g + 132 + 82, 3*g + 3 = 0. Let y = 391 + h. What is the remainder when y is divided by 4?
1
Let k(z) = 11*z**2 - 116*z + 370. What is the remainder when k(5) is divided by (-2)/(-8) + (-87)/(-4)?
21
Let a = 12962 + -11777. What is the remainder when a is divided by 153?
114
Let x(h) = h**3 + 20*h**2 + 60*h + 7. Let k(f) = 8*f + 274. Calculate the remainder when x(-12) is divided by k(-25).
69
Let o be (0 - -3)/((-3)/(-26)). Let m = o - 14. Let x(q) = -q**2 - 15*q - 43. What is the remainder when m is divided by x(-6)?
1
Suppose -4*a + 244 = 2*j, 0 = 6*j - 3*j - 4*a - 346. Let l = -104 + j. Let v = 19 - 10. Calculate the remainder when l is divided by v.
5
Let f be (1 - (-128)/(-28) - -3)*-7. Suppose 98 = l + 2*u + u, f*u - 102 = -l. What is the remainder when l is divided by 25?
11
Suppose 124*g - 115*g = 252. Suppose -3*f = -5*m - 65, -5*m - 20 = -0*m. Calculate the remainder when g is divided by f.
13
Let w(z) be the third derivative of -5/24*z**4 + 0 - 22*z**2 - 1/6*z**3 + 0*z. Calculate the remainder when 7 is divided by w(-1).
3
Suppose 75*c + 1600 = -127 + 7502. Calculate the remainder when 390 is divided by c.
5
Suppose 7*r - 15*r = 24. Let b(d) = -4*d**2 + d + 12. Let v be b(r). Let q = v + 64. What is the remainder when q is divided by 20?
17
Suppose 46*v - 11*v + 25*v - 238020 = 0. Calculate the remainder when v is divided by 81.
79
Suppose r = 3*i - 27, -12*r + 27 = 3*i - 7*r. Calculate the remainder when 1555 is divided by i.
7
Let u be 12/18*30/4. Suppose -u*a = -4*d - 351, 5*d + 391 = d - 3*a. Let z = -65 - d. Calculate the remainder when z is divided by 8.
5
Let b(u) = 5*u**2 - 325*u - 498. Calculate the remainder when b(67) is divided by 2 + (22 - 2/1).
18
Calculate the remainder when (-2)/8 + (-12285)/(-52) is divided by 45.
11
Let p(c) = 6 + 40 + 4*c**2 - 5 - 74*c - 42*c. Calculate the remainder when p(29) is divided by 7.
6
Let y(c) = 2*c**2 + 3*c + 7. Suppose 2*i = -5*v - 0*v + 24, -4*i + 48 = -2*v. Suppose -s - i = 3*s. Calculate the remainder when 31 is divided by y(s).
15
Let k(i) = 79*i**2 - 4*i + 5. Suppose 2 = -10*u + 12. Calculate the remainder when k(u) is divided by 21.
17
Suppose -3*l + 10*l = 14. Suppose 0 = l*h - 141 + 95. Let a = -99 + 155. Calculate the remainder when a is divided by h.
10
Let n = 468 - 463. Suppose -14 = n*j - 144. What is the remainder when 224 is divided by j?
16
Suppose 3*z - 4*i = 9, -152*z + 147*z + 73 = 3*i. What is the remainder when 257 is divided by z?
4
Suppose -62 = -2*i - 3*u - 23, -5 = u. What is the remainder when (-4 + 5)*(2 + i) is divided by ((-30)/8)/(9/(-24))?
9
Let b = -2694 + 2752. What is the remainder when b is divided by 18?
4
Suppose 0 = 9*x - 35*x + 60684. Suppose -2*t = -4*a + 38, 2*a = -3*t - 0*t + 31. Calculate the remainder when 14/(-21) + x/18 is divided by a.
8
Let k(b) = -b**3 - 5*b**2 + 77*b - 67. Let z(i) = 22*i - 1. Let r = 0 + 3. Calculate the remainder when z(r) is divided by k(-12).
14
Let v = 120 - 101. Let q(t) = t**3 - 18*t**2 - 18*t + 9. Calculate the remainder when q(v) is divided by 10.
8
Let f = -5606 + 5711. Calculate the remainder when f is divided by 41.
23
Suppose -2*p = -4*p - 3*r + 22, r - 26 = -2*p. Suppose -p*u = -3*u - 407. Calculate the remainder when 49 is divided by u.
12
What is the remainder when ((-4)/(-6) + -1)/(2/(-492)) is divided by (-1)/(7/52)*161/(-46)?
4
Let q = -25282 - -25308. Let i = 60 + 39. Calculate the remainder when i is divided by q.
21
Suppose 21 = 4*v + 4*c - c, -2*v + 3*c = 3. What is the remainder when 46 is divided by (-4)/(-72)*v + 745/30?
21
Let v = -25658 - -34675. What is the remainder when v is divided by 141?
134
Suppose 0 = -i - 4*x - 85, -2*x = -4*i + 3*i - 91. Let n = i - -210. Let m = -58 + n. What is the remainder when m is divided by 33?
30
Suppose 0 = 4*z - 16*g + 14*g - 1134, -5*g = 3*z - 818. Calculate the remainder when z is divided by 3.
2
Let q be (3 + 1)*12/(-48). Let j(p) = 20*p**2 + 3*p + 2. Calculate the remainder when 71 is divided by j(q).
14
Suppose 2*n = 4*b - 26 + 8, 2*b = -5*n + 15. Suppose 3*v = 11 + 25. Let z = v - b. What is the remainder when z is divided by 5?
2
Let z(q) = 6*q + 108. Let n be z(-15). Let m(b) = 3*b**2 - 27*b + 1. Calculate the remainder when m(n) is divided by 61.
60
Suppose 5*a + 155 = 2*c, -c - 3*a + 2207 = 2124. Calculate the remainder when c is divided by 21/5*(4 + 1).
17
Calculate the remainder when (-1 - (-1)/(-2))*((-12525)/9 - -21) is divided by 343.
341
Let k = 8272 - 8264. Calculate the remainder when 11309 is divided by k.
5
Let s = -13109 - -13317. What is the remainder when s is divided by 187?
21
Let o(g) = 5*g**2 + g. What is the remainder when 42 + (-4 - 72/(-9)) is divided by o(-1)?
2
Let z(u) be the first derivative of -13*u**2/2 - 50*u - 58. What is the remainder when 209 is divided by z(-8)?
47
Suppose -11844 = -145*p + 51*p. What is the remainder when 377 is divided by p?
125
What is the remainder when ((-6060)/(-70))/(9/42) is divided by 199?
6
Let q = -585 - -621. Suppose -i + t = 4*i - 710, 284 = 2*i - t. What is the remainder when i is divided by q?
34
Calculate the remainder when 8/2*((-5687)/(-44) - 18) is divide