t h = -102 - -106. Suppose 3*c + 38 = y, -h*c + 3 = -c. What is the remainder when 78 is divided by y?
37
Let n(l) = -4*l - 26. Let t be n(-11). Let u = t - 2. What is the remainder when 93 is divided by u - (-2 - (1 - 3))?
13
Let j = -11108 + 12170. Calculate the remainder when j is divided by 342.
36
Let o be 6/10 - 51/(-15). Suppose 4*p + 12 = v, o*v - 2*p - 10 = 3*v. Calculate the remainder when 60 is divided by v.
4
Let m(t) be the second derivative of 2/3*t**4 + 1/2*t**2 + 0 + 1/3*t**3 - 2*t. What is the remainder when m(1) is divided by 5?
1
Suppose -27*z = 6*z - 1652 + 299. Suppose -2*m = m - 18. Calculate the remainder when z is divided by m.
5
Suppose -85*r = -265 + 294 - 2409. What is the remainder when 122 is divided by r?
10
Suppose 87*l - 22994 = -33*l - 2354. Calculate the remainder when l is divided by 82.
8
Suppose -109*s - 105 = -112*s. Suppose -24 = 5*c - 1764. What is the remainder when c is divided by s?
33
Let w(x) = 2*x**2 + 17*x + 35. Let k be -4 - -2 - (0/5 - -5). What is the remainder when 67 is divided by w(k)?
11
Suppose -31 = -4*a - 5*c, 5*c = 3*a - 35 + 3. Suppose -3*f + 2*d = -0*d - 25, -2*d - 3 = -f. Calculate the remainder when f is divided by a.
2
Suppose 3*p - 17 = -5*k, -13*k - 5*p = -14*k + 9. Suppose i - 365 = -k*i + 4*c, 4*c = -2*i + 146. What is the remainder when i is divided by 6?
1
Suppose -5*f - 3*p + 2545 = -2*p, 2*f - 3*p = 1001. Calculate the remainder when 129 is divided by (-8 - f/(-28)) + 2/(-14).
9
Calculate the remainder when 109 is divided by 27/108 + (367/4 - -4).
13
Let x(z) = z**2 - 96*z + 1833. Let o(b) = b + 3. Let k be o(-5). What is the remainder when x(70) is divided by (12/(-8))/(k/12)?
4
Let k(m) = -94*m**3 - 2*m**2 - 4*m - 2. Suppose 2*x = -3*g - 5 + 9, g = x + 3. Calculate the remainder when k(x) is divided by 25.
19
Suppose -2*v + g + 3251 = 1131, 2*v + 2*g - 2102 = 0. What is the remainder when v is divided by 263?
5
Let k = -254 + 137. Let d = 166 + k. What is the remainder when d is divided by 2?
1
Let k(t) = -t**3 - 56*t**2 - 54*t + 387. What is the remainder when 3982 is divided by k(-55)?
330
Let b = 490 + -615. Let n = b - -128. Calculate the remainder when 89 is divided by n.
2
Let a(j) = 3*j - 27. Let m be 4*2 - (5 - 9). Let q = -526 + 530. Calculate the remainder when a(m) is divided by q.
1
Calculate the remainder when 1651 is divided by (-1812)/(-28) - (-1 - 96/(-56)).
51
Suppose -18520 - 24776 = -88*g. Calculate the remainder when g is divided by 46.
32
Suppose 0 = 13*k + 1057 + 4403. What is the remainder when 266 is divided by (-54)/32*k/63*8?
86
Let z = -43 + 49. Let k be ((-16)/3)/(2*(-2)/z). What is the remainder when 31 is divided by 2 - -7 - k/8?
7
Let b(o) = o + 47. Suppose 3*c + v = -14 - 15, -3*c = -3*v + 45. Suppose 0 = 7*q - 2*q - 65. What is the remainder when b(c) is divided by q?
10
Suppose 5*y + 7*b - 56156 = 0, -39*y + 38*y + b = -11236. What is the remainder when y is divided by 17?
14
Let f be (3 - 5 - -4) + -44. Let y be (-9)/(-36) + (f/8)/(-3). Suppose -y*i = -4*i, -a = -5*i - 19. What is the remainder when a is divided by 7?
5
Suppose -2*j + t - 373 = -400, -2*t + 24 = 2*j. Let n = 328 + -233. Suppose 4*z - 2*u = 92, 0*z - 5*u + n = 3*z. Calculate the remainder when z is divided by j.
12
Suppose -5*n + 112 = 3*n. Calculate the remainder when 174*(-5)/(-16) - (-45)/(-120) is divided by n.
12
Calculate the remainder when (7*28)/((-69 - -35)/(-34)) is divided by (4/(-6))/((-4)/54).
7
Let v(m) be the third derivative of -5*m**4/8 - 122*m**3/3 + 243*m**2. Calculate the remainder when 1581 is divided by v(-17).
8
Let s = -124 + 134. Let q(k) = -5*k - 5. Let t be q(-6). Calculate the remainder when 78 is divided by 25*(10/t - (-4)/s).
18
Let v be (-11 + 1)/(13/(-286)) - -4. Suppose 23*o = 7*o + v. What is the remainder when (-4)/1*(-39)/4 is divided by o?
11
Suppose -f + 60 + 22 = 0. Suppose 5*c = 2*l + f, 5*c - 7*l - 74 = -3*l. What is the remainder when 56 is divided by c?
2
Let g(r) = -9*r**3 + r**2 + 7*r + 4. Let v be g(-3). Let i = v - -151. Suppose 38 = -12*f + i. Calculate the remainder when f is divided by 6.
5
Suppose 2713 - 2509 = 12*i. Calculate the remainder when ((-9)/4)/(2/(-120)) is divided by i.
16
Let v(n) = n + 72. Let d(u) = -u - 47. Let y(h) = 7*d(h) + 5*v(h). Calculate the remainder when 314 is divided by y(8).
14
Suppose -4*o - 3*w = -45, 4*w + 14 - 46 = -3*o. Let v = 5 - 21. What is the remainder when ((-84)/v)/((-4)/(-16)) is divided by o?
9
Let g(s) be the third derivative of s**6/120 + s**5/12 - s**4/2 + 29*s**3/6 - 99*s**2 + 1. What is the remainder when g(-7) is divided by 9?
6
Suppose 2*j - g - 132 - 76 = 0, -3*j = 3*g - 294. Calculate the remainder when j is divided by (-412)/(-16) + 6/24.
24
Let w(l) = 13*l - 40. Suppose -2*i + 110 - 14 = 0. What is the remainder when i is divided by w(4)?
0
Let c be 6 - (-237)/1 - (0 + -1). Suppose 0 = 23*u - 27*u + c. What is the remainder when u is divided by 21?
19
Let v(u) = -8*u - 35. Let p be v(-7). Suppose -2*d - 133 = -3*i, -5*i - p = -5*d - 241. Calculate the remainder when i is divided by (1*-15)/((-12)/8).
5
What is the remainder when (25/(-75))/(4/36) - 87*-2 is divided by 16?
11
Suppose -3*u - p = -66, -98 = -5*u - p + 14. What is the remainder when (-4)/10 + (5 - 7332/(-30)) is divided by u?
19
Let k = 7187 + -6640. What is the remainder when k is divided by 28?
15
What is the remainder when (-17425)/(-10) - (-2 - (-5)/(-10)) is divided by 18?
17
Let l(m) = m**3 + 10*m**2 + 5*m + 1. Calculate the remainder when l(-9) is divided by 23.
14
Suppose -27*w = 108*w - 4725. What is the remainder when 169 is divided by w?
29
Let k(y) = 220*y - 2741. Calculate the remainder when k(14) is divided by 244.
95
Suppose -3*n - 2*a + 9 = 0, 7*a - 2*a - 40 = -10*n. Let v = 0 + -3. What is the remainder when (-32)/v + 2/6 is divided by n?
4
Let h = 7456 + -7090. What is the remainder when h is divided by 75?
66
Let w = 1862 + -1783. Let i(s) = -s**3 + 7*s**2 + 3*s + 1. Let v be i(6). Suppose -26 = -3*z + v. What is the remainder when w is divided by z?
25
Suppose 10*t - 11961 = -6641. What is the remainder when t is divided by 262?
8
Let q = 56 - 34. Calculate the remainder when q is divided by (-26*3/30)/((-126)/630).
9
Let u = 16731 + -14717. Calculate the remainder when u is divided by 253.
243
Let i(c) = -4*c**3 - 199*c**2 - 599*c + 2. Calculate the remainder when 672 is divided by i(-3).
92
Let i(c) = -362*c + 623. What is the remainder when i(-1) is divided by 342?
301
Suppose 4*p - 4*r - 28 = 0, -p + r = 3*r - 22. Suppose 0 = -5*q + 197 - 37. What is the remainder when q is divided by p?
8
What is the remainder when 255 is divided by 3300/18 + 42/(-126)?
72
Suppose 85*l - 91*l + 1992 = 0. Suppose 0 = -5*g - 3*i + 3 + 60, 4*g - 52 = -4*i. What is the remainder when l is divided by g?
8
Let p be 0 + (-70)/(-17) + 22/(-187). Suppose p*v + 50 = 5*w, -8*w - 3*v + 50 = -3*w. Calculate the remainder when 46 is divided by w.
6
Suppose 0 = 5*z + 5*h - 10820, -5*h - 428 = -z + 1742. What is the remainder when z is divided by 6?
5
Let r = -94 + 106. Let k(l) = -l + 12. Calculate the remainder when (-7)/(21/r)*-10 is divided by k(6).
4
Suppose 27*b - 765 = -9. Suppose b*a - 120 = 16*a. What is the remainder when 33 is divided by a?
3
What is the remainder when 1674 is divided by (25/30)/((-5)/(-105))*(-1 + 3)?
29
Suppose -40*h + 47*h - 216*h + 1369577 = 0. Calculate the remainder when h is divided by 13.
1
Let c be (-4924)/8 - (-5 - 65/(-10)). Let z = c - -637. Let v(r) = -r**3 - r**2 + 199. What is the remainder when v(0) is divided by z?
19
Let g = 72489 - 72160. Let l = -19 + 52. What is the remainder when g is divided by l?
32
Let g(j) = -j - 81. Let k be g(-27). Let y = k - -146. Calculate the remainder when y is divided by 16.
12
Let x be 84/(-1 + 16/8). Suppose -x = -4*o + 2*j + 330, -2*o + 4*j + 210 = 0. What is the remainder when o is divided by 41?
21
Let r = 353 - 341. What is the remainder when 2445 is divided by r?
9
Suppose -2*a = 3*r - 0*a - 355, -2*r + 4*a = -210. Let l(u) = u**3 + 31*u**2 + 84*u + 39. Calculate the remainder when r is divided by l(-28).
37
Let p(v) = 41*v**2 + 1227*v + 2456. What is the remainder when 515 is divided by p(-2)?
17
Calculate the remainder when