- -15808. Is u a multiple of 75?
True
Let r(g) = -2*g**3 + 33*g**2 - 26*g - 39. Does 2 divide r(14)?
False
Let y(c) = c - 6. Let a(q) = q - 5. Let g(w) = -2*a(w) + 3*y(w). Let z be g(10). Is 7 a factor of ((-120)/(-36))/(z/18)?
False
Suppose 0 = p - 2*p. Is 4 a factor of p + (25*14)/7?
False
Let l(c) = -c**3 + c**2 - 2*c - 128. Let r be l(0). Let q = r + 70. Let j = -45 - q. Does 13 divide j?
True
Let y = 1521 - 832. Let k = 743 - y. Is 54 a factor of k?
True
Let y = 24 - 10. Let a = -9 - y. Let c = a + 26. Does 3 divide c?
True
Let d(o) = 17*o**2 - 266*o + 23. Does 9 divide d(-7)?
True
Suppose k - 5*v - 8 = 0, -k - 9*v + 11*v - 7 = 0. Let y = k + 21. Suppose -m = 4, 2*w + m - y*m - 28 = 0. Does 8 divide w?
True
Let j(y) = -y**3 + 10*y**2 + 12*y - 4. Let d be -2 + 204/28 - 6/21. Does 17 divide j(d)?
False
Suppose 302122 = 86*t - 72752. Does 61 divide t?
False
Is 150 a factor of ((-9800)/224)/(1/(-312))?
True
Let c(t) be the second derivative of 59*t**4/12 - 11*t**3/6 + 12*t**2 - 9*t. Let q be c(4). Suppose 0 = 4*i - 3*w - q, -w = -0*i - i + 231. Does 21 divide i?
True
Let z be (0 - 1)/((-4)/44*-1). Let c(m) = 4*m + 43. Let u be c(z). Let f = 39 + u. Is 5 a factor of f?
False
Let m be 3/(3*8/(-24)). Let o(l) = 90*l**2 + 16. Is 21 a factor of o(m)?
False
Suppose 2*b = 4*o - 17884, -4504 = -7*o + 6*o - 5*b. Is 110 a factor of o?
False
Suppose 0 = -2*o + 3*v + 625, 4*v = 3*o + 3*v - 955. Does 3 divide o?
False
Let b(x) = -44*x + 5. Let l(v) = -89*v + 11. Let i(c) = -7*b(c) + 3*l(c). Let n = 70 - 69. Does 11 divide i(n)?
False
Let h(j) = 3*j**3 - 17*j**2 + 53*j + 12. Let b(c) = 2*c**3 - 11*c**2 + 36*c + 8. Let i(l) = -7*b(l) + 5*h(l). Is 36 a factor of i(8)?
True
Is ((-736)/(-920))/((-1)/(-6395)) a multiple of 17?
False
Let c(y) = y**3 - 5*y**2 + 3*y + 4. Let d be c(4). Suppose g - 828 = -0*g - 2*k, 3*g + k - 2469 = d. Is g/36 - (-2)/(1 + 11) a multiple of 7?
False
Let k be 2/11 + 760/55. Suppose -17*s = -k*s - 15. Suppose 17 = i + 2*w, 2*i - 36 = -s*w - 3. Is i a multiple of 19?
True
Let l be (-1106)/(-2) + 4/12*-15. Suppose 2*b - l = 3*d - 7*d, -4*d + 558 = -3*b. Is d a multiple of 6?
True
Does 29 divide 35/14*12734 - 14/(-2)?
True
Suppose 47*h - 2750440 = -143*h. Is h a multiple of 154?
True
Let b = -53 + 58. Suppose b*j = 2*j + 564. Let v = -66 + j. Is 21 a factor of v?
False
Let g(m) = m**2 - 15*m + 17. Suppose 14*p - 3*p - 143 = 0. Let k be g(p). Let r(v) = -v**3 - 6*v**2 + 8*v + 5. Is r(k) a multiple of 13?
False
Suppose 133*u - 1613850 = 53970. Is u a multiple of 165?
True
Let j(s) = 2*s**3 + 17*s**2 + 21*s - 331. Is 47 a factor of j(16)?
True
Suppose 17*j - 38 = 18*j. Let d = j + 92. Is d a multiple of 2?
True
Let l(y) = y**3 + 21*y**2 - 6*y - 129. Let v be l(-21). Let o(i) = -6*i**3 - 2*i**2 - 7*i - 5. Is 40 a factor of o(v)?
True
Let h(a) = 51*a + 14. Let p be h(4). Let n = 449 - p. Does 19 divide n?
False
Let x(h) = h**2 + 7*h - 42. Let j be x(-9). Is 805 + j - (-1 + 5) a multiple of 39?
False
Let q = 3031 + -1465. Is q a multiple of 102?
False
Let p(l) = -10*l - 27. Let o be p(-3). Suppose 675 = 5*d + o*r, 2 = r - 3. Is 12 a factor of d?
True
Suppose 0 = 3*v - 3*z, 4 = v + 3*z - 4. Suppose 0 = -v*k + k + 100. Suppose -5*j + k = -3*j. Is j a multiple of 8?
False
Let w(d) = 87*d - 42. Let y be w(4). Suppose 0 = 6*g + 3*g - y. Is 2 a factor of g?
True
Suppose 5*q + 4885 = 5*u, 71*u = 70*u - 3*q + 969. Does 15 divide u?
True
Is (-6)/(-10) - (13 + (-137064)/60 + 5) a multiple of 3?
False
Let n be ((-104)/5)/(28/2730). Let x = 3038 + n. Does 11 divide x?
False
Suppose 31*c - 351 = 28*c - 3*k, -k - 129 = -c. Is 29 a factor of c?
False
Suppose 2*s = 2*m + 26, -2*m - 38 = -4*s + 12. Suppose 3 + 9 = 4*r. Suppose 3*y - 39 = -g + s, r*g = 9. Is 4 a factor of y?
True
Let a(y) = y**3 - 16*y**2 + 15*y + 12. Let t = -73 + 88. Let o be a(t). Suppose -o*s - 37 = -541. Does 29 divide s?
False
Suppose 4649 + 951 = 10*l. Let c = 74 + l. Does 49 divide c?
False
Suppose -10686 = -y + 4*f, 4*y + 2*f - 32623 - 10139 = 0. Is 11 a factor of y?
False
Let q(z) = z**3 + 92*z**2 - 119*z - 149. Is 87 a factor of q(-93)?
False
Does 44 divide 297/(-2)*(-2880)/54?
True
Suppose 6*v + 7 = 7*v. Let j(l) = 3*l - 21. Let z be j(v). Suppose -4*u - 4*w + 828 = -0*w, 3*u + w - 627 = z. Is u a multiple of 36?
False
Suppose -5*a = 304*p - 303*p - 1284, -4*p = -4*a - 5040. Is p a multiple of 8?
True
Let p be (1*(-3 + 4))/1. Let d(y) = 160*y**3 - 3*y + 2. Let v be d(p). Let h = -61 + v. Does 14 divide h?
True
Let m(p) be the first derivative of 60*p**2 - 197*p + 114. Does 19 divide m(9)?
False
Let k be ((2 + (-96)/28)*-7)/2. Suppose 3*d - 37 = k*c, -3*d - 3*c + 2 = -c. Suppose d*b - 2*u = b + 391, 4*u = -4*b + 548. Is 17 a factor of b?
False
Let l(u) be the second derivative of -u**3/2 + 5*u**2/2 - u. Let r be 107 + -106 + -1*9. Is 20 a factor of l(r)?
False
Let d = -34 + 10. Let l be 2/(3/d*1). Does 31 divide (-4)/l*4 + 59?
False
Let z(p) = -17*p - 16. Let d be z(4). Let t = 194 + d. Suppose h - t = 58. Is 28 a factor of h?
True
Let n = -6250 + 8266. Does 48 divide n?
True
Let b = -9909 + 21820. Is 17 a factor of b?
False
Let m(y) = y**2 - 18*y + 56. Let o be m(14). Suppose -12 = 3*v, o = d + 2*v - 6*v - 1107. Does 62 divide d?
False
Let u(m) = m**2 + 24*m - 893. Does 12 divide u(-52)?
False
Let v(g) = -16*g + 41*g - 21 - 7*g - 16*g. Suppose -2*m + 41 = -5*l, -m = -2*l + 4*l - 25. Is 25 a factor of v(m)?
True
Let v be ((-65)/(-15))/((-2)/6). Is 20 a factor of ((-1785)/(-63))/(v/(-12) - 1)?
True
Let k(z) = z**3 + 3*z**2 - z + 32. Let t be (-8)/24 - 840/(-9). Let l = t - 93. Is k(l) even?
True
Let c(w) = -815*w**3 - 231*w**3 - 6*w - 296*w**3 - 602*w**3 - 5. Is c(-1) a multiple of 14?
False
Suppose -53*i + 42*i = -85965. Is 55 a factor of i?
False
Let s(k) = -45*k + 50. Suppose 3*h + 7 = -a, a + 6*h - h + 7 = 0. Is 31 a factor of s(a)?
False
Is (-54)/(-144) + 214429/8 a multiple of 35?
False
Suppose 6*z - 20269 = 32993. Does 11 divide z?
True
Suppose 0 = -5*u - 3*j + 77028, -11*u - 4*j = -6*u - 77029. Does 13 divide u?
True
Suppose 4*f = 2*z, 2*z - 1 + 3 = 2*f. Let i = -4 - -21. Let d = i + z. Is 3 a factor of d?
True
Suppose 16*t - 18*t = -2356. Suppose -t + 134 = -6*v. Is v a multiple of 22?
False
Let j be (-8)/44 + (-332)/(-11). Suppose -8*p = -2*p - j. Suppose -3*l = u + 1 - 133, 0 = -4*u - p*l + 563. Is 17 a factor of u?
False
Suppose 5*p + 4*l - 5 = 0, 2*p + 3*p - 40 = 3*l. Suppose -9 = -p*z + 4*x, 5*z - x - 4 = -2*x. Suppose 3*g + 5*q = -g + 685, z = q. Is 34 a factor of g?
True
Let r(m) = 34*m - 9 + 17 - 1 - 7 + 11*m**2 - 4. Let o(k) = -k + 3. Let q be o(7). Is 18 a factor of r(q)?
True
Let l be ((-4)/(-6))/((-16)/(-168)). Suppose 5 = 2*b + 2*f - 3, 4*f - l = -b. Suppose -b*g + 5*z + 19 = 0, -g - 3*z + 21 = -z. Is g a multiple of 2?
False
Let h(r) = 8*r**2 + 6*r - 5. Suppose 17*o + 77 = 6*o. Is h(o) a multiple of 13?
False
Let o(i) = -i + 7. Let v be o(4). Let b be 26/(-10) + v - 18/(-5). Suppose -w - 2 = j + b*w, -j - w = -14. Does 12 divide j?
False
Suppose d + 20169 - 85066 = -3*o, 5*o - 108161 = -d. Is o a multiple of 169?
True
Let l = 8854 + -8284. Is l a multiple of 5?
True
Let u(o) be the second derivative of 5*o**4/2 - 7*o**3/3 + 5*o**2 - o + 24. Is 29 a factor of u(5)?
False
Suppose 6290 + 6632 = 13*n. Suppose -f = y - n, -2*y - 4976 = -7*y + f. Is 48 a factor of y?
False
Suppose 4*k - 276 = 4*s, 77 = -4*k + 5*k - 5*s. Let j = k + -63. Suppose c - 14 = -j. Does 2 divide c?
True
Let n(x) = x**3 + 4*x**2 + 2*x + 2. Let s be n(-3). Let a be (-4 + s)*2 + 6/2. Suppose 27 = 3*p - 2*q + a*q, 5*p = 4*q + 72. Is p a multiple of 6?
True
Let m be 762/27 - (-4)/(-18). Let o(n) = -n**3 + 37*n**2 - 29*n - 14. Let c(i) = -2*i**3 + 78*i**2 - 60*i - 27. Let f(g) = -2*c(g) + 5*o(g). Does 5 divide f(m)?
False
Suppose -3*z = 1615 + 1334. Let h = z + -142. Is 12 a factor of (-6)/8 - h/12?
False
Suppose -2*n - 1559 - 997 = 0. Let g = 1810 + n. Is 14 a factor of g?
True
Is 100 a factor of -4*(-208996)/152 - (-52)/494?
True
Suppose 2*x - 72592 = -4*j - 0*x, 0 = 5*j - 2*x - 90758. Is j a multiple of 66?
True
Let o(c) = 587*c - 1530. Is o(8) a multiple of 144?
False
Let w = 12195 + -9020. Is 81 a factor of w?
False
Is (9548/70)/((-2)/(-10)) even?
True
Does 64 divide (128/5)/((-314)/(-211