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-r + 4. Calculate s(y). 4 Let i(o) = -10*o**3 + o**2 - 2*o + 1. Let j = 507 - 506. What is i(j)? -10 Suppose -4*o = -5*t + 4, -t = 2*o - 702 + 704. Let n(k) = -k - 6*k + 0*k. Calculate n(o). 7 Suppose -25*l + 239 = 64. Let t(m) = m + 5. What is t(l)? 12 Let a(m) be the second derivative of -1/2*m**2 + 0 + 0*m**3 + 1/8*m**4 - 1/30*m**5 - 4*m. Let z(h) be the first derivative of a(h). Determine z(2). -2 Suppose -2*g - 27 = -5*m - 2, -5*g - 25 = 0. Suppose 3*u + m*u + 24 = 0. Let w(i) = -2*i**2 + 3*i + 0*i**2 - i**3 + 2 - i**2. What is w(u)? 6 Let h(s) be the third derivative of -s**5/60 + s**4/4 + 2*s**3 - 41*s**2. What is h(9)? -15 Let f(l) be the third derivative of l**5/60 + l**4/3 + 7*l**3/6 - 53*l**2. Determine f(-8). 7 Let k(l) = 4*l**3 - 2*l - 2. Let p = -237 - -236. Determine k(p). -4 Let m = 2 - -6. Suppose -m + 0 = -j - 3*g, -3*j + 38 = -5*g. Let b(x) = x + j - 9 + 9. Determine b(0). 11 Let g(t) = t - 3*t + 4*t - 1. Suppose 3*r - 4 = -3*x + 2*r, -r - 8 = -3*x. Suppose -s + 7 = -3*v, -x*v + 0*v + 17 = -5*s. What is g(s)? -11 Let l be (-6 + -3)*((-8)/(-18))/(-2). Let r(f) = -f**3 + f**2 - 5. Give r(l). -9 Suppose 2*h + 3*s = 15, 38*s - 37*s - 5 = -4*h. Let d(q) = -q**2 + 2*q - 38. Calculate d(h). -38 Suppose -y - 5 = -2*y, 0 = 2*r - 2*y + 4. Let v(b) = b**3 + 3 + 0*b**r - 2*b**3 - 5*b**2 + 6*b. Let q = -131 + 125. Determine v(q). 3 Let a = 24 - 21. Suppose 3*j - 3 - 9 = 0. Let r(i) = i - a + j - i + 2*i. Calculate r(1). 3 Let g be ((-4)/1)/(54/(-4) - -13). Let v(t) = -t**3 + 9*t**2 - 5*t - 19. Determine v(g). 5 Let p(m) = -m**3 + 7*m**2 + 11*m - 9. Let f be -3 - (0/(3 + -6) - 11). What is p(f)? 15 Let s(l) = l**3 + 6*l**2 + 5*l + 7. Suppose 156*z = 167*z + 66. Determine s(z). -23 Let z(l) = 3*l**3 + 32*l**2 + 15*l + 15. Let m(y) = -5 - 11*y**2 + 294*y**3 - 295*y**3 - 3*y - 2*y. Let x(f) = -8*m(f) - 3*z(f). Calculate x(-7). -19 Let r be 6/(-2)*12/(-12). Let m(y) = 2*y**r + 9 - 17 - y**3 + 3*y - y - 7*y**2. Let p be (7 - 0)*1/1. What is m(p)? 6 Let c(r) = r. Let g = -723 + 725. Determine c(g). 2 Let b be ((-28)/(-2))/(-2) - -2. Let v(a) = -117*a + 29. Let p(f) = 44*f - 10. Let z(c) = 8*p(c) + 3*v(c). Determine z(b). 2 Let b(x) = 3*x**3 - x**2 - 2*x**3 - 3*x + x + 0*x**2 + 3. Determine b(2). 3 Let h(a) = 454*a - 4 - 223*a - 229*a. Let c be ((-1)/2 - -1)*0. Suppose 0 = -l - 3*r - r + 20, c = -4*r + 16. Determine h(l). 4 Let h(b) = -51*b - 41*b + 96*b - 29. Give h(7). -1 Let w(l) = 11*l - 15. Let i(c) = 3*c - 8. Let b(r) = 3*i(r) - w(r). Suppose -m - m - 26 = 2*x, -5*m = 4*x + 61. What is b(m)? 9 Let w(u) = -u**3 + 3*u**2 + 5*u - 5. Let h(p) = p**2 - 3*p + 6. Let f be h(3). Let r = f + -2. Give w(r). -1 Let o(v) = v - 2. Suppose 55 = -5*j - 6*j. Let y(c) = -c**2 + 5*c + 6. Let i(n) = j*o(n) - y(n). Calculate i(10). 4 Let l(a) be the second derivative of a**3/2 + 22*a**2 + 45*a. Determine l(-13). 5 Suppose 5*d + 11 = -4, -2*d + 54 = -5*b. Let k(a) = a**2 + 11*a + 5. What is k(b)? 17 Let f(n) = n**2 + 6*n - 9. Let l(d) be the second derivative of -d**5/20 + 7*d**4/4 + d**3/6 - 14*d**2 + 27*d. Let a be l(21). Determine f(a). -2 Let k(f) = 5*f**2 + f + 2. Let w(o) = o**2 - o. Let x(b) = k(b) - 4*w(b). Let u be (1 + -2)/(28/(-10) + 3). Give x(u). 2 Let i(h) = h + 11. Let u = 193 + -193. What is i(u)? 11 Let g(w) be the third derivative of -w**4/24 - w**3/2 + 3*w**2. Let b(a) = -4*a**2 - 90*a + 43. Let s be b(-23). What is g(s)? 0 Suppose 0 = 5*j - 0*j - 15. Let b(i) = -i**3 + 3*i**2 + i - 3. Calculate b(j). 0 Let y(k) = -6*k - 2 - 3*k**2 - 4*k + 7*k - k + k**3. What is y(4)? -2 Let d(x) = 3*x - 1. Let q(f) = -f**3. Let w(j) = 5*j**3 + 5*j**2 + 5*j + 8. Let l(o) = 6*q(o) + w(o). Let t be l(6). Suppose -7*v - 5 = -t*v. What is d(v)? -4 Let p(c) = -23 + 28 - 4*c + 3*c. Let z = 19 + -13. Let m = z - 1. What is p(m)? 0 Let u(q) be the first derivative of -2*q**2 - 8*q - 191. What is u(-4)? 8 Let v(s) = -2*s**2 - 8*s + 7. Let k(c) = -c**2 - 4*c + 3. Let n(o) = -5*k(o) + 3*v(o). Let z(q) = -q**3 + 7*q**2 - q + 2. Let l be z(7). What is n(l)? 1 Suppose 3*i = -k - k + 1, 4*i - 5*k = 9. Let g be ((-2)/(-4))/(i/6). Let s(h) = h**3 - 3*h**2 - h + 4. Determine s(g). 1 Let p(m) = 22*m**2 + 85*m - 26. Let t(w) = 5*w**2 + 21*w - 5. Let f(s) = -2*p(s) + 9*t(s). What is f(-18)? -11 Let t = 768 + -766. Let n(l) be the third derivative of -l**6/120 + l**5/60 + l**4/24 - l**3/6 + l**2. What is n(t)? -3 Let n(r) = r + 1. Let p be n(0). Let s(o) be the third derivative of o**6/120 - o**4/24 + o**2 + 6*o. Calculate s(p). 0 Let p = -8 - -10. Suppose p + 1 = -v. Let c = 3 + v. Let d(q) = q**3 - q + 6. What is d(c)? 6 Let k(z) be the first derivative of -z**3/3 + 4*z + 1. Suppose -41*t - 90 = -11*t. Give k(t). -5 Let d be (-2)/12 - (3 + 268/(-24)). Let y(k) = 0 + 3 - k + 0*k. Determine y(d). -5 Let h(s) = s**3 - 2*s**2 + s - 5. Let w = 2627 + -2624. Determine h(w). 7 Suppose 0 = 4*d - 2*x - 28, 0 = d + 3*x - 15 - 6. Let w be (-1 + 7)*100/40. Let p(q) = 13 - 7*q + w*q - d*q. Calculate p(7). 6 Let l be (-4)/10 + (-1 - (-51)/15). Let b(z) = -2*z + 2*z + 9*z - 4*z + z**l - 1. Let v(d) = -d**3 - 5*d**2 + 7*d + 1. Let a be v(-6). What is b(a)? -1 Let u(i) = i**2 - 4*i - 121. Let h be u(-9). Let w(b) = 2 - b - 1 + 4. Give w(h). 9 Suppose 4*x = 5*a + x - 3, -a + 2*x - 5 = 0. Let i(n) = 5*n - a*n - 6*n**2 + n + n**3 - 6. Give i(6). 12 Let b(u) = -8*u**3 + 4*u**3 - 3*u**3 + 4 - 6*u**2 + 6*u**3 + 2*u. What is b(-6)? -8 Let k(y) = -10*y + 4. Let r(i) = -9*i - 2. Let h(q) = -k(q) + r(q). Let u = 0 - 0. What is h(u)? -6 Let k(w) = 2*w - 4. Let y be k(4). Let m = 0 + y. Let f(n) be the first derivative of -3*n**2/2 + 6*n + 352. Determine f(m). -6 Let n(g) = 0*g**2 + 6784*g - 6783*g + g**2 - 1. Let p(q) = -q**2 - 5*q + 7. Let x be p(-6). Determine n(x). 1 Let g(r) = -r + 6. Let p = 11 - -6. Suppose 2 = 4*x + 5*t + 5, -2*t = -x - p. Give g(x). 13 Let t = -432 - -442. Let m(y) = -y + 21. Determine m(t). 11 Let x(a) = 3*a**3 - 4*a**2 - 10*a - 1. Let h(p) = -p**3 + 3*p**2 + 5*p + 1. Let r(d) = -5*h(d) - 2*x(d). Give r(-6). -9 Suppose -4*n - 9*z + 6*z = -8, -n - 9 = -2*z. Let u(t) = 32*t - 2. Determine u(n). -34 Let a be 1 - (-4)/(-6) - (-16)/6. Let o(z) = -1 + 2 - 4*z**2 + a - 33*z**3 + 32*z**3. Give o(-4). 4 Suppose -37 = -3*i + 3*m + m, 0 = 2*i - 5*m - 34. Let t = -5 + i. Let x(s) be the first derivative of -s**3/3 + 2*s + 404. Give x(t). -2 Let z(t) = -t + 2. Suppose 4*w = -4*a - a + 30, 2*a + 2*w = 12. Give z(a). -4 Let u(z) be the first derivative of 3 + 16*z + 1/3*z**3 + 0*z**2. Let b = -39 - -39. What is u(b)? 16 Let t be 2*(270/120 + 2/8). Let n(y) = -y**3 + 4*y**2 + 7*y - 1. Calculate n(t). 9 Let h(b) = b + 3. Let s(q) = -q**3 + 11*q**2 - 9*q + 22. Let x(r) = -5*h(r) + s(r). Determine x(10). -33 Let c be ((-3)/(-2))/((-2)/12). Let s(t) be the first derivative of t**4/4 + 8*t**3/3 - 11*t**2/2 - 13*t + 6. What is s(c)? 5 Let o be (21/14)/(3/8). Suppose 5*s - 5*u = 15, 2*s - o*u = -7*u + 6. Let c(p) = p**2 - 2*p - 2. Calculate c(s). 1 Suppose 2*z - w = 32, -4*w = -5*z + w + 85. Suppose 0 = 5*v - 3*c - 9, z = -5*v + 4*v - 5*c. Let t(f) = f**2 + 12. Determine t(v). 12 Let a(w) be the first derivative of w**4/12 + w**3 - 3*w**2/2 - 4. Let v(b) be the second derivative of a(b). Calculate v(-6). -6 Let l(m) be the first derivative of -16*m**3/3 - m**2 + m + 104. Determine l(1). -17 Suppose -20*x + 11 = -9. Let z(s) = -10*s + 1. Give z(x). -9 Let a be -4 - -4 - (3 + -143). Let t(k) = 11*k**2 + a - 6*k - 140. Let u(c) = 4*c**2 - 2*c. Let f(v) = -3*t(v) + 8*u(v). Give f(2). 0 Let d(g) = 2*g + 2. Suppose 0 = -11*a + 30 + 14. Determine d(a). 10 Let a be ((-7)/4)/((-12)/48). Let n(r) = -r + 4. Let o be n(a). Let q(t) = t**2 + 3*t + 4. What is q(o)? 4 Let s(w) = 2*w**3 - 2*w**2 - 25*w + 84. Let n(c) = c**3 - c**2 - 11*c + 41. Let x(p) = 9*n(p) - 4*s(p). Calculate x(0). 33 Let z = -21 + 26. Let m(w) = 2*w**3 - w**3 + z*w**2 - 26 + 20. What is m(-5)? -6 Let l = -282 - -285. Let b(c) = 8*c - 15. Determine b(l). 9 Let d be (-2)/3*13/((-52)/384). Let m = 69 - d. Let c(o) be the second derivative of o**3/6 - 7*o**2/2 + 2*o. Determine c(m). -2 Let t(v) = 2*v + 0 - 1 + 5 - 3*v. Let q be (42/(-84))/((-2)/16). Determine t(q). 0 Let m(l) be the first derivative of -1/3*l**3 - 2*l**2 + l + 10. Calculate m
{ "pile_set_name": "DM Mathematics" }
1 Expand (1 - 2 + 3)*(v**4 + v**4 + v**4) - 36*v**2 + 36*v**2 - 4*v**4. 2*v**4 Expand (0*f - f + 2*f)*((-f + 0*f - f)*(-2 + f + 2) - 6*f**2 + 5*f**2 - 28*f**2). -31*f**3 Expand (-2 + 0 + 4)*(-3 + 2 + 0)*(-7*t**3 + 8*t**3 + 6*t**3). -14*t**3 Expand -17*o**5 - 56*o**5 - 11*o**5 + (o + o**2 - o)*(-2 - 2*o**3 + 2) + 0*o**5 - 4*o**5 + 2*o**5. -88*o**5 Expand (0 - 3 + 4)*(4*k + 4*k - 3*k) + 4*k + 5*k - 4*k. 10*k Expand (2 - 2 + x)*(8*x**2 - 28*x + 28*x) + 2*x**3 - 5*x**3 + x**3. 6*x**3 Expand (0*q**2 - 2*q**2 + q**2)*(3 - 7*q - q + 9*q). -q**3 - 3*q**2 Expand (-2*t**2 - 3*t + 3*t)*(-4 - t**2 + 4) + 92*t - 92*t - 34*t**4. -32*t**4 Expand (5*b**2 - 4*b**2 + 0*b**2)*(6 - 5 + 1 + (0 + 2 + 1)*(3 + 0 + 0))*(-7 + 4 + 1). -22*b**2 Expand (-6*s + 0*s + 0*s + (0*s + 3*s - 2*s)*(3 - 1 - 1))*(s - s + s**3 + (2*s**2 + 0*s**2 + 0*s**2)*(-5*s + 2*s + s) - s**3 + 0*s**2 + 0*s**2). 20*s**4 Expand (-2 - 2*m + 2)*((-3 + 0 + 5)*(2*m + 3*m - 3*m) + (3*m - m - m)*(2 - 3 + 2) + 5*m - m - 2*m). -14*m**2 Expand (21 + 1 - 2)*(6*g - 2*g - 2*g)*(-2*g**2 + 2*g**2 + 2*g**2). 80*g**3 Expand (-19 - 10*z + 19)*(-3*z + 2*z**2 + z + 0*z). -20*z**3 + 20*z**2 Expand 2*b**2 + b - 3*b + 4*b + (-2 + b + 2)*(7*b - 2*b - 2*b). 5*b**2 + 2*b Expand -5*n**4 + 3*n**4 - 4*n**4 + 2*n**4 - 3 + 3 + (4 - 3 + 0)*(-7*n**4 + 2*n**4 + 4*n**4). -5*n**4 Expand (-3*j - j + 2 + 5*j)*(-1 + 4 - 6). -3*j - 6 Expand -3*i + 2*i + 0*i + (6 + 0 + 1)*(1 + 2*i - 1). 13*i Expand -2*q**3 + q**3 + 3*q**3 - q**3 + 0*q**3 + 5*q**3 + (0*q**2 + 3*q**2 - 2*q**2)*(2*q + 0*q - 4*q). 4*q**3 Expand (-3*t + 6*t - 2*t)*(0 - 4 + 3) + 3*t + 2*t - 3*t - 7 - 4 + t + 7. 2*t - 4 Expand (3*h**2 - 3*h + 3*h + (0 + 0 + 3*h**2)*(3 - 1 + 0))*(5 + 2 - 5). 18*h**2 Expand (-2*d**2 - 4*d + 4*d)*(5 - 5 - 6*d**3) + 4*d**5 + 1 + d**2 - d**2 - d. 16*d**5 - d + 1 Expand (2*z + 0*z - z)*(2 - 6 + 2) + 7 - 7 - 2*z. -4*z Expand (2*n - 3 + 3)*(-4*n + 0*n + n - 2). -6*n**2 - 4*n Expand 0*n + 0*n - 2*n**3 + (n + 2*n - 2*n)*(-n - 4*n**2 + n). -6*n**3 Expand (-f - 2*f + 5*f)*(0 + 1 - 6). -10*f Expand (0 + 0 - 3)*(0 - s + 0)*(-4*s + 1 - 1)*(1 - 1 + s). -12*s**3 Expand (i - 4*i + 2*i)*(2*i - 4*i + i)*(-2*i - 2*i - 9*i**2 + 10*i**2). i**4 - 4*i**3 Expand 2*a**5 - 34 + 6*a**5 + 36 + (2*a + 3*a - 4*a)*(3*a**4 + 4*a**4 - 5*a**4). 10*a**5 + 2 Expand (-2*q - 3*q - q)*(14*q**4 + 6 - 16*q**4 - 21). 12*q**5 + 90*q Expand (0*z + 9*z + z)*(-3 + 4 + 0)*(-z + 5*z - z). 30*z**2 Expand s**3 - 3*s**3 + 3*s**3 + (2*s - 2*s - 2*s)*(2*s**2 + 5*s - 5*s) + 0*s**3 - 3*s**3 - s**3. -7*s**3 Expand 2*z**2 - 2*z**2 - z**2 - 71*z**2 - 37*z**2 + 60*z**2 - z**2 + z**2 - 2*z**2 - 2*z**2 + 3 - 3 + (4*z - 4*z + z)*(-2 - 2*z + 2) + 2*z**2 - z + z. -53*z**2 Expand (3 - 2 - 2)*(2 - z - 2 + (z + z + 0*z)*(-7 + 2 + 3) - z + z - z - 3*z + 3*z - 5*z). 11*z Expand (-f**3 + f - f)*(2 + 2 - 5)*(-5*f - 3*f - 6*f). -14*f**4 Expand (-x + 7*x - x)*(0 + 2 - 4). -10*x Expand (-c - 3*c - 5*c)*(5*c - 5*c - 5*c**2). 45*c**3 Expand -x**3 + x**3 - 2*x**5 + (0*x**5 + 3*x**5 - 2*x**5)*(8 + 6 - 1) + 5*x**5 + x**5 - 5*x**5 + (4*x**2 + 3*x**2 - 5*x**2)*(-4*x**3 + x**3 + x**3). 8*x**5 Expand (-5*h**2 + 4*h**2 - h**2)*(1 - 3 - 1). 6*h**2 Expand (-2 - 2 + 5)*(26*w + 27*w - 55*w). -2*w Expand (-2*v**3 - v**3 + 4*v**3 - 2*v**3 + 2*v**3 + v**3 + (v - v - 2*v)*(-v**2 + 2*v - 2*v) - v**3 + v - v)*(1 + 1 + 4). 18*v**3 Expand (-9 + 9 + 6*v**2)*(-7 - 3*v**3 + 7 + 2*v). -18*v**5 + 12*v**3 Expand 2*p - 6 + 6 - p - p + p + p - 2*p + 0*p + (2 + 2 - 3)*(2 - p - 2). -p Expand (3*y**4 + y**4 - 6*y**4)*(-2 + 5 - 2) - 53*y + 6*y**4 + 53*y - 3*y**4 - 2*y**4 + 3*y**4. 2*y**4 Expand (-3*r**2 + r - r)*(11*r - r + 2*r). -36*r**3 Expand (4*v - 2 + 2)*(14 - 14 + 2*v) + v**2 + 0*v**2 + 0*v**2. 9*v**2 Expand 0*b + b + 0*b + (0 - 1 + 2)*(-3*b + b + 4*b + (3 - 1 - 1)*(-3*b + 2*b + 3*b) - b - b + b). 4*b Expand (4*t - 3*t - 4*t + (4*t - 3*t - 2*t)*(0 - 3 + 1))*(3*t**4 - 3*t + 3*t). -3*t**5 Expand (-2 + 3 - 2)*(-l + l + l**2 + l**2 + 0*l + 0*l + (-4 + 2 + 0)*(2*l - 2*l - l**2) - 3*l**2 + l + 2*l - 6*l). -l**2 + 3*l Expand 3*a**2 + 2*a**3 + 167 - 167 + (2*a - 3*a + 4*a)*(-3*a**2 + 3*a**2 + 2*a**2). 8*a**3 + 3*a**2 Expand (3*k + 2*k - k)*(1 - 3 + 0)*(0 + 4 - 2). -16*k Expand 0 - 2*t + 0 + 4*t + 8*t - 6*t + (-3 + 3 - 2)*(t + t - t). 2*t Expand (6*i**2 - 3*i**2 - i**2)*(10*i**2 - 13*i**2 + 9*i**2). 12*i**4 Expand -3*f**4 - 3*f**4 + 2*f**4 + (-f**3 + 5*f**3 - 3*f**3)*(0*f + f + 0*f) + (0 + 0 + 3*f**3)*(3*f - 3*f + 2*f - 1). 3*f**4 - 3*f**3 Expand (3 + 1 - 5)*(-5*v**4 + 0*v**4 + 3*v**4) + 0*v**2 + 2*v**4 - v**3 + 0*v**2. 4*v**4 - v**3 Expand (0*f + 0*f + 2*f**2)*(-2*f**2 - 3*f**2 + 4*f**2) + f**4 - 2*f**2 + 2*f**2 + f**3 - 735*f**2 + 734*f**2 + 2 - 10*f**4 + 9*f**4. -2*f**4 + f**3 - f**2 + 2 Expand (s**2 + s**2 - s**2)*(0 + 0*s + s + 2). s**3 + 2*s**2 Expand (-10 + 1 - 9)*(-3*j**2 - j**2 + 5*j**2). -18*j**2 Expand -5*d**3 + 3*d**3 + 3*d**3 + (1 + 1 - 1)*(-3*d**3 + 0 + 0) - 4*d**2 - d**3 + 4*d**2. -3*d**3 Expand (3*r - 2*r + 3*r)*(-3*r**4 - 3*r**4 + 2*r**4)*(-5 + 2 + 1). 32*r**5 Expand (-3*d**3 - 3*d**3 + 4*d**3)*(d**2 + 0*d**2 + 2*d**2 - 5*d**2 + d**2 + 3*d**2 + (d + 0 + 0)*(0*d + d + d)). -8*d**5 Expand (2*a - 2 + 2)*(-3 + 0 + 2) + 0*a - 2*a + 5*a + (10 + 6 - 5)*(-3*a + 4*a - 3*a) - 6*a + 2*a + 3*a. -22*a Expand j - 2*j**3 - j + 0*j**3 + j**3 - 3*j**3 + (-j**2 + 0*j**2 + 2*j**2)*(-3*j + 0*j + 4*j) - 3*j**2 + 3*j**2 - j**3 - 6*j**3 + 4*j**3 + j**3. -5*j**3 Expand 3 - 3 + 9*s**3 + 5*s**2 - 5*s**2 + 2*s**3 - 3*s**3 + 0*s**3 + s**3 + (s**3 - s**3 + 2*s**3)*(-5 + 6 - 2). 7*s**3 Expand (-2*r**4 - 2*r**3 + 2*r**3)*(0 - 5 - 3)*(-3 + 2 - 2). -48*r**4 Expand 2*d**3 - 3*d**2 + 3*d**2 + (-d - 2*d + 0*d)*(-2 + 2 + d)*(2*d - 4*d + d). 5*d**3 Expand (-3*b**2 + 3*b**2 + b**2 + (-b + b + b)*(2*b + 0 + 0) + 2*b**2 - 3*b**2 + 2*b**2)*(3*b**2 - b**2 + 2*b**2). 16*b**4 Expand (-2*x - x + 2*x)*(-102*x - 20*x**2 + 102*x)*(0*x + x - 3*x). -40*x**4 Expand (2*x**2 - x**2 - 4*x**2)*(-2*x**3 + 0*x**3 + 4*x**3) + (-x**4 + x**4 + x**4)*(-7*x + 3*x + 2*x). -8*x**5 Expand -2*n**2 + 4*n**2 - n**2 + n**2 - n**2 - n**2 + (3 - 3 + 2*n)*(-2*n - 1 + 1) + (3*n - 2*n - 3*n)*(-n - n - 2*n)*(-1 - 1 + 0). -20*n**2 Expand (-2*z - 2 + 2)*(-z**4 - z**4 + z**4 + (4*z - 5*z + 0*z)*(0*z**3 + 4*z**3 + z**3)). 12*z**5 Expand (3*j**2 + 3*j**2 - 3*j**2)*(-53*j + 26*j + 24*j - j**2). -3*j**4 - 9*j**3 Expand (2*l**5 - 2*l**5 - 3*l**5)*(4 - 1 + 0) - l**5 - l**4 - 2*l**4 + 5*l**4. -10*l**5 + 2*l**4 Expand 4*r**2 + 0*r**2 - 3*r**2 + (2*r + 7*r - 4*r)*(0 - r + 0) - r**2 - 3*r**2 + 3*r**2 + 0*r**2 - r**2 + 0*r**2. -6*r**2 Expand (-5 + 3 + 1)*(z - 1 + 1) - 8 + 1 - 3*z + 9 + 4*z + 3*z - 5*z. -2*z + 2 Expand (-2*w - 2*w + w)*(-10 + 1 - 5). 42*w Expand 3*u - 13*u**4 - 17*u**4 + 32*u**4 - 2 + (-4*u + 3*u + 3*u)*(u**3 + 5*u**3 - 4*u**3). 6*u**4 + 3*u - 2 Expand -13 + 3 + 9 - 23*w**3 + (4 - 4 - w)*(-5*w**2 + 2*w**2 + w**2). -21*w**3 - 1 Expand (3*r**2 - 4*r**2 - r**2)*(3 + 4 - 5) + 0 + 0 - 6*r**2 + 4*r**2 + r**2 - 6*r**2 + (4*r + 0*r - 2*r)*(2*r - 2*r - r) + 0 - r**2 + 0. -14*r**2 Expand (-l - 2*l + 5*l)*(79 - 79 + l). 2*l**2 Expand 4*c + 2*c**3 - 4*c + (-4*c + 2 - 2)*(-1 - 3 + 6)*(c**2 - 2*c**2 - c**2). 18*c**3 Expand 0*g**3 + 0*g**3 - 3*g**5 - 2*g**2 + 2*g**2 - 2*g**5 + g**4 - 2*g**5 - g**4 + (-2*g**3 + g**4 + 2*g**3)*(4*g + 0*g - 6*g) - 5*g**5 + g**5 + 3*g**5. -10*g**5 Expand (-7*u - 6 - 3 + 5*u)*(-2 + 2 + 1). -2*u - 9 Expand -h - 4*h + 2 + 3*h + (0*h + 4*h + h)*(-6 - 6 + 0). -62*h + 2 Expand (2 + 1 - 5)*(-r - 2*r + 2*r) + (4 - 4 - 10*r)*(2 + 2 - 5). 12*r Expand (-2*p + 4*p - p + (-2 - 3 + 7)*(-p + 0*p - p) + 6*p + 5*p + p)*(4*p - 6*p + p + 2*p - 4*p + 0*p + (-p + 5*p - 3*p)*(1 - 2 + 0)). -36*p**2 Expand (f**4 + 3*f**2 - 3*f**2)*((0*f - 3*f + 2*f)*(0 + 4 - 1) + f + 3*f - 3*f). -2*f**5 Expand (-2 + 1 + 0)*(3 - 3 + 2)*(-2 + q**4 - 4*q**4 + 0*q**4). 6*q**4 + 4 Expand (4 - 4 + 1)*(-5*a**3 + 2*a**3 + a**3) + (-3*a - 4*a**2 + 3*a)*(a + 2*a - 2*a) - 4*a**3 + 0*a**3 + 3*a**3. -7*a**3 Expand (-28 + 16 + 29)*((4*f - 4*f - f)*(2*f - f + 0*f) - 2*f**2 - 4*f**2 + 3*f**2). -68*f**2 Expand (1 + 3 - 1 + (2 - 5 + 4)*(-3 + 2 + 3)*(-2 - 3 + 3))*(2*j**4 - 3*j**4 - j**4). 2*j**4 Expand (7 + 0*j + 54*j**2 - 53*j**2 + 5*j)*(2*j + 0*j - j). j**3 + 5*j**2 + 7*j Expand -2*x**4 + 11*x - 9*x + 11*x**4 + (3 + 1 - 3)*(x**4 + 0*x + 0*x). 10*
{ "pile_set_name": "DM Mathematics" }
wrt x? -2 Suppose 0 = 3*d - c - 17, -3*d + 0*d + 32 = -4*c. Suppose 2*k = 70 - 62. What is the first derivative of -d*h**4 - 9 + 26*h**4 + 15*h**k wrt h? 148*h**3 Let k(q) be the first derivative of -2*q**2 + q**2 - 4917 + 70*q + 5157. What is the derivative of k(b) wrt b? -2 Suppose 128 = 41*r - 9*r. Differentiate -6*l**2 - 68 - r*l + 314 - 116 wrt l. -12*l - 4 Let r be 0 + 3 + (-6 - 1 - -6). Suppose 0*d + 82 = r*a - d, -d = 2. Find the second derivative of -40*i**2 + a*i**2 + 6*i**3 - 20*i wrt i. 36*i Let r(b) be the second derivative of 1115*b**7/42 + 4*b**3/3 + 195*b**2/2 - 2591*b. What is the second derivative of r(h) wrt h? 22300*h**3 Let a(s) be the second derivative of -5152*s**3/3 - 5897*s**2/2 + 8856*s - 2. What is the first derivative of a(w) wrt w? -10304 Suppose 3*f = 15 - 63. Let i = f - -28. Find the second derivative of 10*b + i*b**4 + 5*b + 2*b + b**4 wrt b. 156*b**2 Suppose -p - 3*p - 3*i = -41, 0 = -2*p + 2*i + 24. Suppose -4*c = -c - 2*o - p, 0 = -5*c + 4*o + 15. What is the derivative of 9 - x**2 + 20*x**2 + c - 8 wrt x? 38*x Let h be (28/21)/(11/33). Let b(u) be the first derivative of -7/2*u**h + 0*u**3 - 4*u**2 + 0*u - 5. What is the second derivative of b(w) wrt w? -84*w Let x(f) be the first derivative of 0*f**2 - 35*f - 15 - 57/4*f**4 + 0*f**3. Differentiate x(r) wrt r. -171*r**2 Find the third derivative of 12*h**2 + 50*h**4 - 14*h**2 - 1656 - 56*h**4 + 573 - 1192 + 436*h**3 wrt h. -144*h + 2616 Let t(l) be the first derivative of 0*l**3 + 0*l + 1/2*l**4 + 10*l**5 + 63 + 45/2*l**2. What is the second derivative of t(a) wrt a? 600*a**2 + 12*a Let a(f) = -9*f**3 + 185*f + 2859. Let d(s) = 3*s**3 - 61*s - 954. Let t(l) = 4*a(l) + 11*d(l). What is the first derivative of t(c) wrt c? -9*c**2 + 69 Find the third derivative of 1503*s**4 + 1505*s**4 - 141*s**2 + 33*s**6 - 3004*s**4 wrt s. 3960*s**3 + 96*s Let k(c) be the third derivative of -3*c**2 + 0*c**3 + 0*c + 17 + 1/60*c**5 - 41/24*c**6 + 3/8*c**4. What is the third derivative of k(q) wrt q? -1230 Find the second derivative of 1192*l**4 - 2375*l**4 + 3063*l + 32*l**2 - 9*l**3 + 8*l**2 - 2*l**3 + 1185*l**4 wrt l. 24*l**2 - 66*l + 80 Let s(h) be the second derivative of 17*h**4/12 - 13*h**3/6 + 317*h**2/2 - 2*h + 69. What is the first derivative of s(t) wrt t? 34*t - 13 Let n(t) be the first derivative of -3*t**5/5 - 121*t**4/4 + 2013*t**3 + 719. What is the third derivative of n(d) wrt d? -72*d - 726 Let i(h) be the third derivative of 0 + 1/24*h**4 + 38*h**2 + 31/60*h**5 - 11/6*h**3 + 0*h. Find the second derivative of i(g) wrt g. 62 Let a(m) be the first derivative of -1691*m**5 - m**3/3 + 3937*m**2/2 - 2*m + 700. Find the third derivative of a(t) wrt t. -202920*t Differentiate 151*r + 155*r - 454*r + 148*r + 349*r**3 + 1083 with respect to r. 1047*r**2 Let b = -780 + 958. Find the third derivative of 78*q**3 + 563*q**2 + 1 - 1 - 519*q**2 + b*q**3 wrt q. 1536 Let n = -150 - -155. What is the second derivative of 982*v**2 - 982*v**2 - 4*v**n - 5*v**4 + 62*v wrt v? -80*v**3 - 60*v**2 Let b(y) be the third derivative of -y**7/210 - 4*y**6/15 + 3*y**4/8 + 2*y**3 + 871*y**2. Find the second derivative of b(q) wrt q. -12*q**2 - 192*q Differentiate -594 + 519 + 326 - 6214*n wrt n. -6214 Suppose 602 = -4*q - 2*h, 289 = -4*q + 2*q - 5*h. Let y = -105 - q. What is the derivative of 21 - 4 - 6*p**2 - y - 25*p**2 wrt p? -62*p Let i(m) = m**2 + 118*m + 3383. Let y be i(-69). Let o(b) be the first derivative of 32*b + 0*b**y - 17 + 22/5*b**5 + 0*b**3 + 0*b**4. Differentiate o(q) wrt q. 88*q**3 Let u(w) be the third derivative of -2933*w**5/30 - 239*w**4/12 - w**3/6 - 10*w**2 + 25*w + 2. What is the second derivative of u(s) wrt s? -11732 Let g(z) = z + 18 + 0*z - 20. Let n be g(8). Differentiate 12*s**4 - n + 46*s**2 - 46*s**2 wrt s. 48*s**3 Let j(o) be the first derivative of -861*o**4/4 - 778*o**2 + 3240. What is the second derivative of j(m) wrt m? -5166*m What is the third derivative of c**4 - 210*c**5 + 786*c**2 - 927*c**2 + 237*c**5 wrt c? 1620*c**2 + 24*c Let b = -100 + 100. Suppose 2*q - o - 76 = -b*q, 0 = q - 2*o - 35. What is the derivative of 16 - 32 + q*a + 20 wrt a? 39 Let i(p) = -345*p**3 + 726*p**2 - 3*p + 9. Let u(y) = 2*y**3 + 2*y**2 - y + 3. Let v(a) = -i(a) + 3*u(a). Find the third derivative of v(c) wrt c. 2106 Let p = 3531 - 2466. Find the third derivative of -61*h**6 + h**2 + p - 1075 - 86*h**6 wrt h. -17640*h**3 Let b(z) be the second derivative of -2*z**6/15 - 299*z**4/12 - 2092*z**3/3 - 1512*z. Find the second derivative of b(g) wrt g. -48*g**2 - 598 Let o(b) = 120*b**2 - 5317*b + 7. Let p(w) = -3*w - 1. Let n(t) = o(t) + 7*p(t). Find the second derivative of n(v) wrt v. 240 What is the third derivative of 509*k**4 + 28*k**4 + 39*k**4 + 374*k**2 + 278*k**4 + 1230*k**2 wrt k? 20496*k Suppose -4*k = -33*k - 125*k + 616. Let y(m) be the first derivative of 19/3*m**3 - 31 + 0*m + 0*m**2 + 3/4*m**k. Find the third derivative of y(l) wrt l. 18 Let s(c) = 17*c**3 + 21*c**2 - 16*c + 3852. Let k(h) = -4*h**3 - 5*h**2 + 4*h - 961. Let q(t) = -9*k(t) - 2*s(t). What is the derivative of q(g) wrt g? 6*g**2 + 6*g - 4 Suppose 30*l - 32 - 58 = 0. Find the third derivative of 12*o**4 + o**3 - 98*o + 189*o - 53*o**2 - 91*o + l*o**3 wrt o. 288*o + 24 What is the second derivative of -2530*j + 205*j**3 - 130*j**3 - 1121*j + 6*j**5 - j**2 wrt j? 120*j**3 + 450*j - 2 What is the second derivative of -23*h**2 - 77*h**3 - 2*h**4 - 32*h**2 + 78*h**2 + 3337*h + 86*h**3 wrt h? -24*h**2 + 54*h + 46 Find the first derivative of -4*z**3 - 1212*z**2 - 195*z**2 - 341 + 225*z**2 + 343 wrt z. -12*z**2 - 2364*z Let t = -38 + 41. Suppose -t*w = -4*w + 3*n + 17, n + 57 = 4*w. Find the second derivative of -9*j**3 + 16*j + 22*j**3 - w*j**3 wrt j. -6*j Let x(a) = 91*a**3 + 23*a**2 - 6887*a. Let c(p) = 15*p**3 + 4*p**2 - 1148*p. Let l(t) = 17*c(t) - 3*x(t). Find the second derivative of l(q) wrt q. -108*q - 2 Let w(a) = a**3 - 12*a**2 + 3*a - 34. Let s be w(12). Find the third derivative of 56*g**5 + 1 - 10570*g**3 + 11*g**s + 10570*g**3 wrt g. 3360*g**2 What is the first derivative of -555*w**2 - 3456 - 56*w**2 + 29*w**2 + 808 - 430*w**2 wrt w? -2024*w Let y(c) = 73*c**2 + 284*c + 8384. Let l(m) = -45*m**2 - 189*m - 5589. Let i(s) = -8*l(s) - 5*y(s). Differentiate i(n) with respect to n. -10*n + 92 Let o(p) be the third derivative of 29/6*p**4 + 0*p + 0*p**3 + 47/30*p**5 + 0 + 68*p**2. Find the second derivative of o(v) wrt v. 188 Let r(x) = -1614*x**4 + 5*x**3 - 5*x - 705. Let v(d) = -810*d**4 + 3*d**3 - 3*d - 352. Let j(p) = -3*r(p) + 5*v(p). Differentiate j(a) wrt a. 3168*a**3 Let c(o) be the second derivative of -7*o**6/30 - 117*o**5/5 + 4*o**3 - 117*o**2/2 + 4882*o. What is the second derivative of c(s) wrt s? -84*s**2 - 2808*s Find the first derivative of 8*p**3 + 647*p**2 + 646*p**2 - 1292*p**2 - 5*p + 4278 wrt p. 24*p**2 + 2*p - 5 Let o(t) be the second derivative of 0*t**3 + 0 - 159*t - 12*t**2 - 131/6*t**4. Find the first derivative of o(k) wrt k. -524*k Let i(c) = c**2 + 3*c + 3. Let m be i(-3). Let v be (1/m)/((-9)/(-54)). What is the second derivative of v*q**2 + 9*q**2 + 4*q + q**2 wrt q? 24 What is the third derivative of 1 + 2943*g**6 - 673*g**3 + 341*g**3 + g + 332*g**3 - 1480*g**2 wrt g? 353160*g**3 Let t(f) be the third derivative of -95*f**4/6 - 1631*f**3/6 + 11*f**2 - f - 36. Differentiate t(c) with respect to c. -380 Let v(b) be the third derivative of -1057*b**4/8 - 124*b**3/3 - 103*b**2 - 1. Differentiate v(w) wrt w. -3171 Let s(v) be the first derivative of 0*v**2 + 0*v**4 + 15*v + 1 + v**3 - 24/5*v**5. What is the first derivative of s(f) wrt f? -96*f**3 + 6*f Let n(m) be the second derivative of 155/6*m**4 + 0*m**5 + 2 + 0*m**2 + 59*m - 142/15*m**6 + 0*m**3. What is the third derivative of n(s) wrt s? -6816*s Suppose r + 5 = 0, -3*w - 2*w = 2*r - 45. What is the second derivative of o - 53*o**4 - 30*o**4 - w + 14*o**4 - 1 - 41*o**4 wrt o? -1320*o**2 Let g(y) be the third derivative of 0*y - 41/60*y**6 + 0 + 80*y**2 + 2/3*y**3 - 1/30*y**5 + 1/12*y**4. What is the second derivative of g(a) wrt a? -492*a - 4 Let d(x) be the second derivative of x**6/15 - 93*x**5/5 + 3*x**2 + 9*x + 29. Differentiate d(s) with respect to s. 8*s**3 - 1116*s**2 Let c be -2*1/3 + (-6)/(-
{ "pile_set_name": "DM Mathematics" }
5, 4, 2, -5 Put 21, 7, 4 in descending order. 21, 7, 4 Sort -1, -5, -4, 2. -5, -4, -1, 2 Sort -5, 2, -4, -26 in decreasing order. 2, -4, -5, -26 Sort -3, -17, -1, -5 in ascending order. -17, -5, -3, -1 Put -3, 2, -12, -8 in increasing order. -12, -8, -3, 2 Put -3, 1, -2, 17, -7 in ascending order. -7, -3, -2, 1, 17 Put 3/4, -118, -0.1, -1/4 in descending order. 3/4, -0.1, -1/4, -118 Sort 5, 0, 13, 4, -1 in decreasing order. 13, 5, 4, 0, -1 Sort -4, -2/7, 0.3, 2/7 in ascending order. -4, -2/7, 2/7, 0.3 Put -0.15, 39, -2/7 in ascending order. -2/7, -0.15, 39 Put -44, 2, 1 in descending order. 2, 1, -44 Put 22, -2/21, 6 in descending order. 22, 6, -2/21 Sort 27, 3, -3, 9, 0. -3, 0, 3, 9, 27 Sort -4, -5, 1, -8 in decreasing order. 1, -4, -5, -8 Put 3, 0.5, 5, -8 in descending order. 5, 3, 0.5, -8 Put 5, -4/3, -0.8, 0.1 in descending order. 5, 0.1, -0.8, -4/3 Sort 3, 6, -1, -17 in increasing order. -17, -1, 3, 6 Put 1/6, 14, -1/6, 4 in ascending order. -1/6, 1/6, 4, 14 Sort -3, -0.1, -7. -7, -3, -0.1 Put -10, 3, 0, -5, 1 in increasing order. -10, -5, 0, 1, 3 Put 1, -14, -2, -1 in descending order. 1, -1, -2, -14 Sort -7, -6, -1. -7, -6, -1 Sort -1/4, 4, 2.4 in decreasing order. 4, 2.4, -1/4 Sort -0.06, 0.47, -0.1 in descending order. 0.47, -0.06, -0.1 Sort -3, 3, 1. -3, 1, 3 Sort 2, -3, -20 in descending order. 2, -3, -20 Put -0.395, -2/5, 2, 1/3 in increasing order. -2/5, -0.395, 1/3, 2 Put 0, 3, 432 in decreasing order. 432, 3, 0 Sort 2/9, 76, -5 in descending order. 76, 2/9, -5 Sort -7, 2, 20 in increasing order. -7, 2, 20 Put -0.3, -0.04, 169 in decreasing order. 169, -0.04, -0.3 Sort -4/3, 0.58, -0.6. -4/3, -0.6, 0.58 Put -8/3, 4, 0, -4 in decreasing order. 4, 0, -8/3, -4 Sort -4, 0, 10, 4 in increasing order. -4, 0, 4, 10 Put 15, 2, 1, -3, 4 in decreasing order. 15, 4, 2, 1, -3 Sort 4, -4, -2/23, 0 in decreasing order. 4, 0, -2/23, -4 Put -7, -5, 4 in ascending order. -7, -5, 4 Sort 0, 0.1, -3, 97. -3, 0, 0.1, 97 Put 3, -3, 61, -5 in ascending order. -5, -3, 3, 61 Put 22, 3, 4 in increasing order. 3, 4, 22 Sort 1, -1, -4.2, -23 in increasing order. -23, -4.2, -1, 1 Put -9, 13, 10, -5, -1 in descending order. 13, 10, -1, -5, -9 Put 7, -462, 0 in ascending order. -462, 0, 7 Sort 5, 2.43, 1. 1, 2.43, 5 Sort 0.4, 0.14, 174, -3, -0.3 in descending order. 174, 0.4, 0.14, -0.3, -3 Sort -2/15, -26/7, -2, -0.4. -26/7, -2, -0.4, -2/15 Sort -1, 14, -2. -2, -1, 14 Sort 2/13, 4, 4/5, -294 in descending order. 4, 4/5, 2/13, -294 Put 40, -5, -4, 1/4, -1 in increasing order. -5, -4, -1, 1/4, 40 Sort 1/4, 0.5, -3/2, 11/8. -3/2, 1/4, 0.5, 11/8 Sort -1, 3, 2, 1. -1, 1, 2, 3 Sort 0.1, 5, 1, -4 in descending order. 5, 1, 0.1, -4 Put -2, -1161, 5 in ascending order. -1161, -2, 5 Sort 2/19, 3, 0.5, 14 in descending order. 14, 3, 0.5, 2/19 Put 5, 655, 0.3, -1, 0.4 in decreasing order. 655, 5, 0.4, 0.3, -1 Sort 5, 3/7, -1/6, -1/34. -1/6, -1/34, 3/7, 5 Put 1/3, 0.04, 3/10 in ascending order. 0.04, 3/10, 1/3 Sort -3, 5, -0.07, 0.05 in decreasing order. 5, 0.05, -0.07, -3 Put -2.3, -1, -3 in increasing order. -3, -2.3, -1 Sort 23, 0.5, 0, 2.8, 3. 0, 0.5, 2.8, 3, 23 Sort -18, -24, -6 in increasing order. -24, -18, -6 Sort -0.035, 0, 2/11, -3/7, 2 in descending order. 2, 2/11, 0, -0.035, -3/7 Put -2, -3, 1, 3, 0 in descending order. 3, 1, 0, -2, -3 Sort 4, -4/5, 68, -0.2 in decreasing order. 68, 4, -0.2, -4/5 Put -1/4, 315, -0.3 in descending order. 315, -1/4, -0.3 Put -5, 1, 0, -4, 5 in ascending order. -5, -4, 0, 1, 5 Sort 2, -2, -75, 14. -75, -2, 2, 14 Sort 9, -8, 1, -4, 0 in ascending order. -8, -4, 0, 1, 9 Sort 2, -3, 4, -1337, 1. -1337, -3, 1, 2, 4 Put 126, -5, -4, 5, 7 in decreasing order. 126, 7, 5, -4, -5 Sort -0.04, 0.06, 2, 3/8, -42 in increasing order. -42, -0.04, 0.06, 3/8, 2 Sort -0.6, -0.2, -417. -417, -0.6, -0.2 Sort -3, 6, 29, -1 in ascending order. -3, -1, 6, 29 Put 14, 13, 0 in decreasing order. 14, 13, 0 Sort 2, 6, 427 in descending order. 427, 6, 2 Put 1, 40, 2 in ascending order. 1, 2, 40 Sort -20, -23, 0 in ascending order. -23, -20, 0 Sort -19, 7, -8 in descending order. 7, -8, -19 Put -3, -4, -58 in decreasing order. -3, -4, -58 Sort -2, 1, 5, -6. -6, -2, 1, 5 Sort -1/2, -0.1, 6 in increasing order. -1/2, -0.1, 6 Sort -3/2, 4, 2/15, -4. -4, -3/2, 2/15, 4 Put 1, 9, -2, 3 in descending order. 9, 3, 1, -2 Put 0.2, -2, 24 in decreasing order. 24, 0.2, -2 Put -2168/9, -5, 5, 1/6, 0.1 in descending order. 5, 1/6, 0.1, -5, -2168/9 Sort -5, 49, 5 in descending order. 49, 5, -5 Put 6, -1, 5, -5 in increasing order. -5, -1, 5, 6 Sort -1, -5, -2 in ascending order. -5, -2, -1 Sort -2, -228, 5 in ascending order. -228, -2, 5 Sort 5, 2, -3, -2, -12 in descending order. 5, 2, -2, -3, -12 Put -37, -26, 3 in descending order. 3, -26, -37 Sort 2/5, 37, -2, -1/8 in descending order. 37, 2/5, -1/8, -2 Sort 1, 15, 4. 1, 4, 15 Sort -10, -2/5, -2 in descending order. -2/5, -2, -10 Sort 3, -3, -1, 34, 2 in decreasing order. 34, 3, 2, -1, -3 Put 5/4, -2/109, 12 in decreasing order. 12, 5/4, -2/109 Sort 5, 28, -3, -1, -27 in ascending order. -27, -3, -1, 5, 28 Put -17, -1, -5, -18 in descending order. -1, -5, -17, -18 Sort -0.5, -0.1, 0.68, 1/10 in decreasing order. 0.68, 1/10, -0.1, -0.5 Put -10, -4, -1, -3 in increasing order. -10, -4, -3, -1 Sort -3/5, 12, 0.4, -15, 0.06. -15, -3/5, 0.06, 0.4, 12 Sort 6, 2, 0.2, 2/11. 2/11, 0.2, 2, 6 Sort 2, 101, -4. -4, 2, 101 Sort -2, -3, 0, -122. -122, -3, -2, 0 Sort -0.4, -1322, -3 in ascending order. -1322, -3, -0.4 Put -3, -5, 0, -1 in descending order. 0, -1, -3, -5 Put 2/3, -2/17, -4530 in descending order. 2/3, -2/17, -4530 Sort 3/5, 0.5, -75, -5 in descending order. 3/5, 0.5, -5, -75 Put 8/13, 0, -1/7 in increasing order. -1/7, 0, 8/13 Sort 5, -3, 2/7, -0.13, -2/9 in descending order. 5, 2/7, -0.13, -2/9, -3 Put -4, -3, 4, -8 in decreasing order. 4, -3, -4, -8 Sort -2/9, 0.2, 1.1 in increasing order. -2/9, 0.2, 1.1 Put 10, 9, 2 in decreasing order. 10, 9, 2 Sort 0, 4, 2, -5 in descending order. 4, 2, 0, -5 Sort 112, -0.4, 0, -0.2, -1/4 in decreasing order. 112, 0, -0.2, -1/4, -0.4 Sort -3, 2, 36, -5 in descending order. 36, 2, -3, -5 Put -3, 20, -87 in descending order. 20, -3, -87 Put 5, 0.5, 0.2, -0.1, 21/2 in ascending order. -0.1, 0.2, 0.5, 5, 21/2 Put -4, -84, 1/2, -8 in descending order. 1/2, -4, -8, -84 Sort 14, -138, -0.3, -2/3 in descending order. 14, -0.3, -2/3, -138 Sort -222, 0, 2 in ascending order. -222, 0, 2 Put 0.5, 1.7, 2/11 in descending order. 1.7, 0.5, 2/11 Put -7, 0, -423 in ascending order. -423, -7, 0 Sort 0.4, -0.4, 955, 3/4 in decreasing order. 955, 3/4, 0.4, -0.4 Sort -67, 5, -5 in decreasing order. 5, -5, -67 Sort 1/5, 0.3, 2, 24. 1/5, 0.3, 2, 24 Put 4, -3, 3, 7 in increasing order. -3, 3, 4, 7 Put -1, 2, -2, -9 in increasing order. -9, -2, -1, 2 Put -3, 3, -11, -4 in descending order. 3, -3, -4, -11 Put -18, -3, 4, -14 in decreasing order. 4, -3, -14, -18 Put 1/181, -3, 0.2 in decreasing order. 0.2, 1/181, -3 Put 129, -1, -2/17, 2/5 in decreasing order. 129, 2/5, -2/17, -1 Sort -9, -2/7, -24, 4 in descending order. 4, -2/7, -9, -24 Sort -2, 10, -4, 0 in descending order. 10, 0, -2, -4 Sort -2/11, 2, 2/9, 21. -2/11, 2/9, 2, 21 Put -4, 5, 1 in increasing order. -4, 1, 5 Put 3, -4, -91 in increasing order. -91, -4, 3 Put 2701, -5, -4 in increasing order. -5, -4, 2701 Put -5, 16, -4, 8, 5 in descending order. 16, 8, 5, -4, -5 Sort 0, 981, 4. 0, 4, 981 Sort -5, 0, 3, -96, 5 in decreasing order. 5, 3, 0, -5, -96 Put 1, 2.3, -37 in descending order. 2.3, 1, -37 Put -0.04, 0.14, -0.4 in increasing order. -0.4, -0.04, 0.14 Put 129, -5, -1, 2 in decreasing order. 129, 2, -1, -5 Sort 5, -2/7, 3/128 in decreasing order. 5, 3/128, -2/7 Put 6, 1, 5/3, -1/3 in decreasing order. 6, 5/3, 1, -1/3 Sort -3/7, -1/2, -37. -37, -1/2, -3/7 Sort 1344, 4, 6. 4, 6, 1344 Sort 1/4, -0.038, 0.5, 0.08, -2 in ascending order. -2, -0.038, 0.08, 1/4, 0.5 Sort -0.4, 2, -2/17, -1. -1, -0.4, -2/17, 2 Sort 5, 96, -1 in ascending order. -1, 5, 96 Put 3, 780, -2, 5 in descending order. 780, 5, 3, -2 Sort 4, 0, 2, 20 in descending order. 20, 4, 2, 0 Sort -39, 192, 4 in ascending order. -39, 4, 192 Sort -97, -3/4, 4/7, -3 in descending order. 4/7, -3/4, -3, -97 Put 38, 87, 4, -1, 2 in decreasing order. 87, 38, 4, 2, -1 Sort -2, 1, -4
{ "pile_set_name": "DM Mathematics" }
= -5*j**5 - 20*j**4 - 7*j**3 + 8. Let w(u) = 5*p(u) - 8*q(u). Factor w(r). -r**3*(r - 5)*(r + 1) Let k(m) be the second derivative of 1/36*m**4 + 1/3*m**3 + m + 4/3*m**2 + 0. Factor k(b). (b + 2)*(b + 4)/3 Factor 56/5 - 254/5*c - 7/5*c**3 + 41*c**2. -(c - 28)*(c - 1)*(7*c - 2)/5 Let d be (12 - 9) + 2/4*0. Let o be ((-69)/(-75) + -1)*-5. Find i such that -6/5*i**2 - 2/5 - o*i**d - 6/5*i = 0. -1 Let y(g) be the second derivative of g**5/10 - g**4/2 + 2*g**3/3 + 3*g - 8. Let y(b) = 0. Calculate b. 0, 1, 2 Let s(f) be the first derivative of 2/21*f**3 + 20/7*f - f**2 + 34. Factor s(q). 2*(q - 5)*(q - 2)/7 Let l = 1777/21 + -253/3. Let g be 1/4 - 57/(-12). Suppose 8/7*d**2 + 0 + 8/7*d**4 - l*d - 12/7*d**3 - 2/7*d**g = 0. Calculate d. 0, 1 Let z(f) be the second derivative of -f**7/210 - f**6/25 - f**5/25 + f**4/10 + f**3/6 + 24*f - 2. What is j in z(j) = 0? -5, -1, 0, 1 Suppose 0 = 2*z - t - 7, -z + t = 4*z - 16. Factor -4*w**4 - 784*w + 8*w**4 - 101*w**z + 896*w**2 - 15*w**3. 4*w*(w - 14)**2*(w - 1) Suppose -6*v = 3*h - 4*v + 6, 3*v + 9 = -4*h. Let j(r) be the first derivative of -8/15*r**5 + 1/9*r**6 + r**4 - 8/9*r**3 + 1/3*r**2 + 8 + h*r. Factor j(s). 2*s*(s - 1)**4/3 Let y(s) be the second derivative of s**9/105840 + s**8/47040 - s**7/8820 - 31*s**4/12 - 21*s. Let d(w) be the third derivative of y(w). Factor d(n). n**2*(n - 1)*(n + 2)/7 Let o(n) = -2*n - 23. Let i be o(-14). Factor -7*b**5 - 4*b**4 - i*b**2 + 9*b**5 + 4*b**2 + 5*b**2 - 2*b. 2*b*(b - 1)**3*(b + 1) Let y(o) = o**3 - 11*o**2 - 16*o + 53. Let c be y(12). Let m be c/((-50)/3) + (-6)/(-12). Factor -1/5*d - m*d**2 + 2/5. -(d - 1)*(d + 2)/5 Let p = -206/5 + 437/10. Let 0*y + 0 + 5/2*y**3 - p*y**2 = 0. Calculate y. 0, 1 Let t(p) = p + 12. Let d be t(-10). Let z(o) = -11*o + 26. Let a be z(2). Factor 3/7*j**a + 0*j**d + 3/7*j**3 + 0*j + 0. 3*j**3*(j + 1)/7 Factor 1/4*v**3 + 5043/4*v + 123/4*v**2 + 68921/4. (v + 41)**3/4 Let u = 167 + -167. Let t(d) be the first derivative of 0*d**5 + 4 - 2/15*d**6 + u*d**3 + 0*d + 0*d**2 + 0*d**4. Find f such that t(f) = 0. 0 Let t(i) = i**3 - 6*i**2 - i + 10. Let c be t(6). Factor 18*d**c + 5*d**3 + 0*d**5 + 5*d**5 - 8*d**4. 5*d**3*(d + 1)**2 Let h(r) be the second derivative of -r**5/40 + 3*r**4/8 - 2*r**3/3 - 70*r + 1. Solve h(v) = 0 for v. 0, 1, 8 Let v = -1570 + 10994/7. Factor 0 - 2/7*z**3 - v*z**2 - 2/7*z. -2*z*(z + 1)**2/7 Suppose -25 = -14*s + 3. Factor -4*g**5 + 6*g**5 - 35*g**4 + 40*g - 140*g**2 + 3*g**5 + 90*g**3 + 40*g**s. 5*g*(g - 2)**3*(g - 1) Let u(d) be the third derivative of -5/48*d**4 + 0 + 0*d**3 + 1/96*d**6 + 0*d - 17*d**2 + 1/48*d**5. What is a in u(a) = 0? -2, 0, 1 Let r(l) = -17*l**3 + 3217*l**2 - 343477*l + 12250416. Let t(g) = 9*g**3 - 1609*g**2 + 171739*g - 6125207. Let d(x) = -4*r(x) - 7*t(x). Solve d(q) = 0. 107 Factor 2/5*k**2 - 24/5 + 22/5*k. 2*(k - 1)*(k + 12)/5 Let y(n) = -n**2 + 15*n - 13. Let f be y(14). Factor -b + f - 19*b**2 + 18*b**2 + 2*b**3 + 0*b - b. (b - 1)*(b + 1)*(2*b - 1) Let o(r) be the third derivative of 0 - 12*r**2 + 0*r + 0*r**3 - 1/40*r**4 - 1/75*r**5 - 1/600*r**6. Factor o(u). -u*(u + 1)*(u + 3)/5 Let r(o) be the second derivative of o**6/20 + 7*o**5/40 - o**3/3 - 31*o - 4. Factor r(l). l*(l + 1)*(l + 2)*(3*l - 2)/2 Let l = 12361/75998 + -1/2054. Let h = l + 25/74. Determine m, given that m - 1/2*m**2 + 0 - h*m**3 = 0. -2, 0, 1 Factor 577*j - 533*j - j**2 - 3*j**2. -4*j*(j - 11) Suppose 36*j - 25*j = 44. Let q(p) be the second derivative of 1/15*p**6 + 0*p**3 + 1/6*p**j + 0*p**2 + 0 + 9*p - 1/5*p**5. Factor q(s). 2*s**2*(s - 1)**2 Suppose 9 - 233 - 1215*r**2 - 66 + 13*r**4 - 395*r**3 - 8*r**4 - 1225*r - 120 = 0. Calculate r. -1, 82 Let p(x) be the second derivative of -3/7*x**2 - 3/14*x**3 + 0 - 1/28*x**4 - 20*x. Let p(l) = 0. What is l? -2, -1 Let v(c) be the first derivative of 3*c**5/5 - 6*c**4 + 11*c**3 + 12*c**2 - 36*c + 302. Suppose v(n) = 0. What is n? -1, 1, 2, 6 Find q such that 12/7*q**2 + 0*q + 0 - 2/7*q**3 = 0. 0, 6 Let -3/4*q**2 - 171/4 - 33/2*q = 0. What is q? -19, -3 Let h(x) be the third derivative of x**4/6 - 8*x**3/3 + 3*x**2. Let v be h(4). Solve v - 4/9*m**2 + 2/9*m = 0 for m. 0, 1/2 Let g = 3187 + -3184. Factor -1/5*y**2 + 1/5*y**g - 2/5*y + 0. y*(y - 2)*(y + 1)/5 Let c(k) be the third derivative of 0*k**6 - 1/42*k**7 + 5/12*k**4 + 1/4*k**5 + 0*k + 10*k**2 + 0*k**3 + 0. Let c(d) = 0. Calculate d. -1, 0, 2 Let c(b) be the first derivative of -b**3/9 + 5*b**2/6 + 14*b/3 - 148. Solve c(f) = 0. -2, 7 Factor 37/4*j**3 - 10*j - 49/2*j**2 + 0 + 11/4*j**4. j*(j - 2)*(j + 5)*(11*j + 4)/4 Factor 116/5*d - 1/5*d**2 - 3364/5. -(d - 58)**2/5 Factor 4/3*f**4 - 28/3*f + 28/3*f**3 - 8 + 20/3*f**2. 4*(f - 1)*(f + 1)**2*(f + 6)/3 Let j(d) be the second derivative of d**7/168 + d**6/8 + 149*d. Solve j(y) = 0. -15, 0 Let d(l) be the first derivative of 42*l**4 - 124*l**3 + 285*l**2/4 + 75*l + 22. Factor d(p). 3*(4*p - 5)**2*(7*p + 2)/2 Find b, given that 16/11 - 50/11*b + 2/11*b**4 + 54/11*b**2 - 2*b**3 = 0. 1, 8 Let s(y) be the third derivative of -4*y**7/1575 + y**6/100 + y**5/450 - y**4/30 - 3*y**2 - 10. Suppose s(u) = 0. Calculate u. -3/4, 0, 1, 2 Factor -11/4*q - 3 + 1/4*q**2. (q - 12)*(q + 1)/4 Let w(u) be the first derivative of 0*u + 2*u**3 + 2*u**2 + 4 + 1/2*u**4. Factor w(x). 2*x*(x + 1)*(x + 2) Suppose -11*l - 36 = -14*l. Let z be l/7 - (-2)/7. Factor -1 + 2*x**2 + 5*x**2 - 3*x**3 - 3 + 4*x - z*x**2. -(x - 2)*(x + 1)*(3*x - 2) Suppose 5*b - 4*i - 3 = 0, i + 6 = 3*b - 0*i. Suppose 0 = -a - 5*x, 4*x = 5*a - 0*x. Determine t so that 0 - 1/4*t**4 + a*t**b - 1/2*t + 3/4*t**2 = 0. -2, 0, 1 Let m(a) = a**5 + a**3 + a**2 - a. Let z(g) = -26*g**4 + 42*g**3 - 26*g**2 - 6*g + 8. Let i(r) = 4*m(r) + z(r). Determine y so that i(y) = 0. -1/2, 1, 4 Let x(y) be the first derivative of 2*y**4/11 - 34*y**3/33 + 9*y**2/11 + 36*y/11 + 272. Factor x(u). 2*(u - 3)*(u - 2)*(4*u + 3)/11 Let l(g) be the first derivative of 5 + 12*g**2 + 4*g**2 + 2*g**2 - 7*g**3 + 12*g. Let l(p) = 0. What is p? -2/7, 2 Let i(p) be the second derivative of p**4/24 - 35*p**3/12 - 7*p + 30. Factor i(f). f*(f - 35)/2 Let v be (1/(-8))/((-67)/2278) - 21/12. Factor 5/2*o**5 + 0*o - 5/2*o**3 + v*o**4 - 5/2*o**2 + 0. 5*o**2*(o - 1)*(o + 1)**2/2 Let f = 20397 - 20325. Factor f*y - 39/2*y**2 - 54 + 3/2*y**3. 3*(y - 6)**2*(y - 1)/2 Let w(f) = -3*f**3 - f**2 + 2*f - 2. Let h(j) = -j**3 - 1. Let v(t) = 6*h(t) - 3*w(t). Factor v(s). 3*s*(s - 1)*(s + 2) Let d = -30 + 34. Find z, given that 3*z**3 + z**3 - 29*z**4 + 25*z**d = 0. 0, 1 Let q(z) = z**3 + z. Suppose 7*r - 10*r - 3 = 0. Let i(u) = 5*u**4 + 20*u**3 - 5*u**2 + 20*u. Let f(k) = r*i(k) + 20*q(k). Factor f(d). -5*d**2*(d - 1)*(d + 1) Let l(j) be the third derivative of -1/540*j**6 + 0*j**5 - 7/6*j**3 + 1/36*j**4 + 0 - 10*j**2 + 0*j. Let d(y) be the first derivative of l(y). Factor d(a). -2*(a - 1)*(a + 1)/3 Let g(m) = 5*m**2 + m + 4. Let u be g(0). Let k be (-2)/8 + (25/u - 2). What is d in -28/5*d**5 - 4*d**k + 0 + 36/5*d**3 - 8/5*d + 4*d**2 = 0? -1, 0, 2/7, 1 Let s(f) be the first derivative of 2/39*f**3 - 12 - 3/13*f**2 + 4/13*f. Factor s(a). 2*(a - 2)*(a - 1)/13 Let c(h) be the second derivative of -h**5/160 + 17*h**4/96 - 11*h**3/6 + 9*h**2 - 4*h. Factor c(b). -(b - 9)*(b - 4)**2/8 Let w(z) = -z - 6. Let g be w(-18). Factor 16*o - 16*o + o**4 - 5*o**4 - 8*o + g*o**2. -4*o*(o - 1)**2*(o + 2) Factor 32/7*w + 2/7*w**2 + 18. 2*(w + 7)*(w + 9)/7 Find j, given that 153*j**3 - 172*j - 84*j**2 - 64 - 8 - 93*j**3 + 6*j**4 + 38*j**4 = 0. -1, 18/11 Let u(q) = 3*q**3 + 5*q**2 + q + 7. Let z = 85 + -74. Let j(h) = -8*h**3 - 14*h**2 - 4*h - 20. Let y(w) = z*u(w) + 4*j(w). Determine g so that y(g) = 0. -1, 3 Let f(n) = n**3 + 7*n**2 - 9*n - 8. Let l be f(-8). Factor 0*r + 0*r**2 + 5/2*r**4 + l + 5*r**3. 5*r**3*(r + 2)/2 Let r = -25574/7 - -3654. Solve -2/7 + r*f - 2/7*f**2 = 0. 1 Let y(h) be the first derivative of 5*h**4/8 + 85*h**3/3 + 155*h**2/4 - 165*h + 500. Let y(m) = 0. What is m? -33, -2, 1 Factor -4*p**2 - 10/3 - 1/3*p**3 - 7*p. -(p + 1)**2*(p + 10)/3 Let y(m) be the first derivative of -5 + 19/28*m**4 + 1/7*m**2 + 0*m + 1/14*m**6 - 13/35*m**5 - 11/21*m**3. Find s such that y(s) = 0. 0, 1/3, 1, 2 Let a(o) be the second derivative of 5*o**7/168 + o**6/4 - 3*o**5/16 - 5*o**4/3 + 5*o**3/2
{ "pile_set_name": "DM Mathematics" }
-96*sqrt(11) + 6 Simplify 0 + 5*(-2 + (sqrt(108) - (-1*sqrt(108) - sqrt(108))) + sqrt(108) - (sqrt(108) - sqrt(108)*-2*3))**2*2 + 5. 720*sqrt(3) + 9765 Simplify -3 + (1 + sqrt(19))**2*-1*-5 - (-6*(-1*sqrt(133) + sqrt(133)))/(sqrt(343) + -2*sqrt(343)). 10*sqrt(19) + 97 Simplify (-3 + (sqrt(1053) + 1 + 0 - sqrt(1053)) + 2 - 6*(sqrt(1053) + -1 + -5 + -2))**2*5. -25920*sqrt(13) + 201060 Simplify 3*(5 + (-3 + 1 + (sqrt(567)*-1 + 0 - sqrt(567) - sqrt(567)))**2 + -2). 324*sqrt(7) + 15330 Simplify (6*(-4 + sqrt(6300) + 2) + -3*(((sqrt(343) - -3*sqrt(343) - sqrt(343))/sqrt(7))/sqrt(7) + -2))**2. -2052*sqrt(7) + 204723 Simplify -4*(-3 + 4 + 1*((sqrt(832) - (sqrt(832) + (sqrt(832) - (sqrt(832) + 0) - sqrt(832)))) + sqrt(832)) + (sqrt(1573)*1 - (1 + sqrt(13))*-1))**2. -40784 - 448*sqrt(13) Simplify 2 + (((sqrt(11) - sqrt(66)/sqrt(6))*-3 - sqrt(11)) + sqrt(11) + sqrt(11) - sqrt(11))*-4 + -5 + (sqrt(396) + 0 - (2*sqrt(11) + -5)). 2 + 4*sqrt(11) Simplify ((-4 + -5*(sqrt(832)*3)**2 - ((sqrt(832) - ((-2*sqrt(832) - sqrt(832))**2 + 5)) + -3)) + -5)*-2. 16*sqrt(13) + 59906 Simplify sqrt(5) + -1 + -1 + -2 + sqrt(80) + (sqrt(125)*-3)**2 + sqrt(30)/sqrt(6) + 2. 6*sqrt(5) + 1123 Simplify 5*-4*(6*(0 + sqrt(448)) + (sqrt(1008)*3 + sqrt(63))/sqrt(9))**2*-6. 3125640 Simplify 2 + (2*sqrt(75)*3 + 1)**2 - ((sqrt(270)*-4 + sqrt(270))/sqrt(9))/(4*sqrt(640)). 1923*sqrt(3)/32 + 2703 Simplify ((sqrt(19) - -2*sqrt(19)) + 1 + 2*sqrt(1216) + 5 + (sqrt(304) - (-1 + sqrt(304))**2*2) + (sqrt(304) - (0 + sqrt(304))) + 3)*4. -2404 + 156*sqrt(19) Simplify (sqrt(832) - 3*sqrt(832))**2*-4 - (-4 + (2 + sqrt(832))**2) - ((-2*sqrt(832) + -1)**2 + (2 + (sqrt(832) + 3)**2 - sqrt(832))). -18316 - 104*sqrt(13) Simplify -1 + 1*(((0 + sqrt(425))*1)**2*-3 - 2*(sqrt(425) + 1 + 3 - sqrt(425))). -1284 Simplify (-4 + -3*sqrt(1008) + 0)*-4 - (-1*(4 + sqrt(1008) - sqrt(1008)) - (4 + sqrt(1008)*1))**2. -1056 - 48*sqrt(7) Simplify (2*(3 + 6*(sqrt(170)/(sqrt(5) - (1*sqrt(5) - sqrt(5))))/sqrt(2) + ((1*sqrt(7344) + sqrt(7344) - sqrt(7344)) + sqrt(7344))/(1*sqrt(48))))**2. 288*sqrt(17) + 9828 Simplify (-1*sqrt(612)*-4 - -4*(-2*sqrt(612))**2) + -1 + (2*(2 + sqrt(612)))**2*-6. -4993 - 552*sqrt(17) Simplify (4*(sqrt(209) + (sqrt(209) - sqrt(209)*-2 - sqrt(209))*3 - sqrt(209))*-6)/(6*((sqrt(11) - (sqrt(11) + -1*sqrt(11)*-2 + sqrt(11))) + sqrt(11))*1). 12*sqrt(19) Simplify (-1*4*sqrt(104) + sqrt(104) + 3*sqrt(104)*-2)/((sqrt(160) + sqrt(160) + -2*sqrt(160) + sqrt(160))/(sqrt(5) + sqrt(80)*5)). -189*sqrt(13)/2 Simplify ((sqrt(40)/sqrt(4))/sqrt(2)*6)**2 + -1 - ((-1*sqrt(120))/sqrt(4))/(sqrt(18)/sqrt(3)*2). sqrt(5)/2 + 179 Simplify (sqrt(1872)*2 + -3 + -1*-3*sqrt(1872))**2 - -2*-6*(-5 + sqrt(1872) + -1)**2. 1368*sqrt(13) + 23913 Simplify 1*(-4 + (sqrt(72) + (sqrt(72) + sqrt(72)*-2)**2 + -1 - (sqrt(72) + 0)*-3)*-6). -430 - 144*sqrt(2) Simplify (-2*((-2 + sqrt(7))*-3 - sqrt(7))*-4)**2 + -5 + ((2 + sqrt(1008) + sqrt(1008) + sqrt(1008))*-4 - sqrt(1008) - sqrt(1008)). -3240*sqrt(7) + 9459 Simplify (sqrt(117) + (sqrt(117) + -1*sqrt(117) + sqrt(117))*-5)/(-1*sqrt(144)) - (sqrt(1053) + 2 + 3)**2*1. -1078 - 89*sqrt(13) Simplify (((sqrt(95)*2 - sqrt(95))/sqrt(5) - (1 + sqrt(171)))*5 - (5 + (6*sqrt(57)/sqrt(3) + sqrt(2736) + -1)**2)) + 3. -6164 + 26*sqrt(19) Simplify ((-6*(sqrt(132) - (sqrt(132) + (sqrt(132) - sqrt(132)*-3*-3) + sqrt(132)))*-2)/((sqrt(240)/sqrt(5)*2)/(sqrt(16)/(-2*sqrt(4)))))**2. 4851 Simplify (sqrt(3240)*-1*-5)/(-6*-2*sqrt(800)). 3*sqrt(5)/8 Simplify -2 + (((-1*sqrt(153) + sqrt(153))*-4 - sqrt(153)) + sqrt(153))**2 + 0 + 1 + ((-1 + sqrt(153)*-1 + sqrt(153) - sqrt(153))*5)**2. 150*sqrt(17) + 3849 Simplify (1*sqrt(4200)*-2 + 5*(sqrt(4200) - (sqrt(4200) - sqrt(4200)*-1)))/((5*(sqrt(54) - sqrt(162)/sqrt(3)) + sqrt(54))*2). -35*sqrt(7)/3 Simplify ((2 + sqrt(288) + sqrt(288) + -2 - (sqrt(288) + sqrt(288)*5*2)) + 0)**2. 23328 Simplify (((sqrt(126) - -5*(1*sqrt(126) - sqrt(126))) + sqrt(126))/(sqrt(144)*2))/((5*sqrt(112)*-1 + sqrt(112))*3). -sqrt(2)/192 Simplify ((2*-4*(sqrt(33) + (-2*sqrt(99))/sqrt(3)))/((sqrt(11) - -3*sqrt(44)) + sqrt(11)*-1*-5))**2 + -3. -5/3 Simplify (-5 + (-1*sqrt(99) - sqrt(99)) - (1 + (sqrt(99) - (sqrt(99) - (sqrt(99) - sqrt(99)*-1))**2))) + sqrt(1331) + -2 + (5*sqrt(99))**2 + -2. 2*sqrt(11) + 2564 Simplify (-4*(4*sqrt(720) - sqrt(45)*-1*4))/(sqrt(9) + -5*sqrt(324) + -3*sqrt(9)*-3). 4*sqrt(5) Simplify (5*(sqrt(6)/sqrt(3) + 4))**2*-3 + (sqrt(110)/(sqrt(33)/sqrt(3)) - sqrt(10))/(-4*sqrt(5)*-2) + -3. -1353 - 600*sqrt(2) Simplify ((-3 + (3*6*sqrt(275)*-2 - 2*((1 + sqrt(275) - sqrt(275)) + 2 + sqrt(275))))*1)**2. 3420*sqrt(11) + 397181 Simplify -5*(-1*2*sqrt(153)/sqrt(9) + 0)**2*4*-2. 2720 Simplify -1 + (-3*sqrt(1815)*1*-2)/(sqrt(40)/(sqrt(8)/sqrt(4)*6 + sqrt(2) - sqrt(2))). -1 + 198*sqrt(3) Simplify (-2 + (-1*sqrt(100)*5 + sqrt(100) - -1*2*sqrt(100))/(6*(sqrt(500) + (sqrt(500) - -3*sqrt(500)) + sqrt(500))))**2. 2*sqrt(5)/45 + 6481/1620 Simplify (((1*sqrt(42) + sqrt(42))*6)/(-4*3*sqrt(6)))**2 - ((1*sqrt(84)*-1 - sqrt(84))/(sqrt(36)/sqrt(3)*4))**2. 21/4 Simplify ((sqrt(81) - 2*sqrt(81))/(-3*sqrt(243)))**2 - (sqrt(147) + 0 + sqrt(12)/(sqrt(16) + sqrt(4)) + -5 + 3). -22*sqrt(3)/3 + 55/27 Simplify -2*(5*-4*sqrt(567) - sqrt(567)) + ((sqrt(252) - (sqrt(252) + -1))*-4 - (4 + -2 + sqrt(252))). -6 + 372*sqrt(7) Simplify -2*(-5*(sqrt(77)*2)/sqrt(11)*2 + (5*sqrt(175) - 1*sqrt(112))). -2*sqrt(7) Simplify ((sqrt(180) + 1*sqrt(180)*2)*3)/((sqrt(324)/sqrt(48))/(sqrt(243) + sqrt(243)*2)). 972*sqrt(5) Simplify 5 + -4*((3*(sqrt(21)/(sqrt(21)/sqrt(3)) - sqrt(3)))**2 - (sqrt(120)/sqrt(10) - 1*sqrt(3)*1))*3. 5 + 12*sqrt(3) Simplify 4 + ((3*sqrt(198) + sqrt(22))*2)/(-4*(sqrt(288) + 2*sqrt(288) + sqrt(288))). -5*sqrt(11)/48 + 4 Simplify 2 + ((sqrt(704)*4 + sqrt(704) + -3 - (0 + -1 + sqrt(275)))*2)**2. -560*sqrt(11) + 53918 Simplify ((sqrt(19)*4 + -3 + 4)*4)**2 - 1*((sqrt(228) - 5*(sqrt(228) + -1*sqrt(228)) - sqrt(228))/sqrt(12))**2. 128*sqrt(19) + 4880 Simplify ((-4*sqrt(144))/(sqrt(576)/sqrt(12)))**2 - (3*(sqrt(147) + -1 + sqrt(9)/(sqrt(9)/sqrt(3))) + -1). -24*sqrt(3) + 52 Simplify ((sqrt(20) - sqrt(180))*3 - sqrt(20) - (sqrt(980) + -3*sqrt(980)))/((sqrt(320)/(sqrt(8)*-2 + sqrt(8)))/(sqrt(484)*-2 - sqrt(484) - sqrt(484))). 308*sqrt(2) Simplify (-3*(2 + (4*sqrt(1176)*-1)/(sqrt(36)/((sqrt(3) - (sqrt(21)*4)/sqrt(7)) + sqrt(3) + sqrt(3)))))**2. 1008*sqrt(2) + 14148 Simplify ((sqrt(1008) - ((sqrt(1008) + 3 - sqrt(1008)) + 0)) + sqrt(1008) + -3 + -3 + ((sqrt(1008) + -2 - sqrt(1008)) + 5 - sqrt(1008)) + -3)**2*5. -1080*sqrt(7) + 5445 Simplify (((sqrt(110) + (sqrt(110) + 1*sqrt(110) - sqrt(110)))/sqrt(5) + sqrt(264)/(sqrt(36)/sqrt(3)) + sqrt(22))/(4*(sqrt(77)*-3)/sqrt(7))*-4)**2. 32/9 Simplify (-6*3*(((sqrt(66) - (sqrt(66) + (sqrt(66) - -3*-2*sqrt(66)) - sqrt(66) - sqrt(66)) - sqrt(66)) + sqrt(66))*-3)/(1*sqrt(5400))*4)**2. 698544/25 Simplify -4*(3 + (-1 + 4*((3 + sqrt(80) + 2*sqrt(80) + sqrt(80) - sqrt(80)) + ((0 + sqrt(80))*-1 - sqrt(80)) + 2))**2). -6576 - 2432*sqrt(5) Simplify (5 + 3*(sqrt(77)*-2*3)/(sqrt(49)/(sqrt(7)*-1))*4 + 3)**2. 1152*sqrt(11) + 57088 Simplify ((4*2*sqrt(9)*2)/(2*sqrt(12)/sqrt(4)*-5))**2*-3. -576/25 Simplify (-5*(sqrt(200) + (sqrt(200) - (0 + sqrt(200) + sqrt(200)))*-4 + sqrt(200)*-2 + 3 + -3 + sqrt(200) + sqrt(200) + 0 + 5))**2*-5. -628125 - 62500*sqrt(2) Simplify ((sqrt(270)/sqrt(54))/(sqrt(3)*-1*-3))/(4*-2*sqrt(300)*6). -sqrt(5)/4320 Simplify (1 + 3*(sqrt(76) + -1)*6)**2 - (-5 + ((0 + sqrt(76))*3 + 2)**2). -1248*sqrt(19) + 24230 Simplify (-5 + (-1 + 2 + sqrt(325)*-2 + sqrt(325))**2)*1*5*-4*5. -32100 + 1000*sqrt(13) Simplify (3 + 5*(-4 + -2*sqrt(72) + 0 + sqrt(72) + -1 + (-3 + sqrt(72)*-2 - sqrt(72) - 3*(sqrt(72) + sqrt(72) + 0))))**2. 22200*sqrt(2) + 181369 Simplify (4*(sqrt(2016)*-3 + sqrt(2016) + sqrt(2016) + sqrt(2016)))/(sqrt(392) - -4*(sqrt(392) - (sqrt(392) + 3*sqrt(392) + sqrt(392) + sqrt(392))))*-2. 0 Simplify (2*(-1*6*3*sqrt(325) + -4))**2 + -4 + -4. 2880*sqrt(13) + 421256 Simplify (sqrt(968) - (-4*-1*sqrt(968) - sqrt(968)))/(((-1*sqrt(32))/sqrt(8) - sqrt(4))*-6)*6. -11*sqrt(2) Simplify (3 + (-4 + 3 + sqrt(2) + 2 + (sqrt(32) - (sqrt(32) - sqrt(288)) - sqrt(32) - sqrt(32)) + 2 + sqrt(72) + 2)*3)**2. 1188*sqrt(2) + 2502 Simplify -1 + ((sqrt(2448)*-3*-6 + sqrt(2448))*1 - (-3 + (sqrt(2448) +
{ "pile_set_name": "DM Mathematics" }
6 Rearrange 2*z**2 + 10 + 2*z**3 - 10 + (-3*z + z + 0*z)*(-2*z**2 + 3*z**2 - 2*z**2) to o*z + p*z**2 + j + t*z**3 and give p. 2 Express (23 - 12 - 13 - 10)*(0*v - v + 0*v) in the form m*v + u and give m. 12 Express -66*y + 17*y - 19*y - 9*y as q*y + m and give q. -77 Rearrange x**3 + x**3 - x**3 + (94 - 24 - 37)*(0*x + 2*x**3 + 0*x) to the form i + f*x**2 + z*x + h*x**3 and give h. 67 Rearrange 0*t**2 - 2*t**4 + 5*t - t**2 - 6*t to k*t**2 + o*t**3 + j*t + i + p*t**4 and give p. -2 Rearrange n**4 - 4*n**4 + 4*n**4 + (2*n**4 - 4*n**4 + 0*n**4)*(-3 + 3 - 3) to the form k*n**3 + a + r*n + t*n**4 + m*n**2 and give r. 0 Rearrange 5*z**2 - 3*z**2 + 0 + 1 + 7*z**2 to the form p*z + v*z**2 + t and give t. 1 Rearrange -10*u**3 + 5*u**3 - 12*u**3 + (-1 + u**3 + 1)*(2 - 1 + 0) to the form z*u**3 + x*u + r*u**2 + j and give z. -16 Express (-9*s - 3*s - 15 + 15*s)*(5*s + 5*s - 4*s) in the form x + q*s + a*s**2 and give x. 0 Rearrange -7*i + 2*i + i + 0*i to b + t*i and give t. -4 Rearrange -3*u**3 + 2*u**3 + 5*u - u**4 + 4*u**4 - u**4 to the form k*u + q + c*u**2 + p*u**4 + y*u**3 and give y. -1 Rearrange -417 + y**2 - 416 + 45*y**3 + 833 to the form b + k*y**2 + x*y + f*y**3 and give k. 1 Rearrange (-32*c - 27 + 67 - 40)*(-c**2 - 6*c**2 + 5*c**2) to q + w*c**2 + f*c**3 + m*c and give f. 64 Rearrange -2*w + 4*w + 7*w to z + c*w and give c. 9 Rearrange 5*m**2 - 4*m**2 + m**2 + (-3 + 1 + 0)*(-1 + 1 - 2*m**2) + 224*m + 3*m**2 - 222*m - m**2 to the form r + w*m + t*m**2 and give w. 2 Rearrange 3*y**3 - 8*y**3 - y**4 - 3*y + 5*y**3 + 11 to the form l + c*y**4 + z*y**2 + n*y**3 + b*y and give c. -1 Express (z**3 - 4*z**3 + 2*z**3)*(5 - 3 - 4) - z**3 + 0*z**3 + 2*z**3 + (-2*z**2 + z**2 + 3*z**2)*(3*z - 3*z + 2*z) as l*z**3 + s*z**2 + t + p*z and give l. 7 Express -6 + 6 - 5*m + (3 + 1 - 2)*(5 - 5 - m) - 3 - 2*m + 3 as y + o*m and give o. -9 Express -5 - 6 + 30*x + 11 as v + c*x and give c. 30 Express (3*t - 6*t - 2*t)*(-2 + 4 + 2 + 3 + 1 - 3 + 0 + 0 - 2 + (0 + 1 - 2)*(-1 + 2 + 0) + 4 - 1 - 2)*(3 - 1 + 0) as c*t + f and give c. -30 Express -v + 5*v + 3*v**4 + v**2 + 0*v**3 - 3*v - 2*v**3 in the form c*v + q*v**3 + o + j*v**2 + p*v**4 and give j. 1 Express -6*v**3 + 9*v**3 - 40*v**3 - 2*v**3 - 3*v**3 + v**3 + (4 + 0 - 2)*(v**3 + 0*v**2 + 0*v**2) in the form b*v**3 + w*v + u*v**2 + r and give b. -39 Rearrange 19 + y**3 - 3*y**2 - 46 - 3*y + 27 to the form q*y + s*y**3 + d + w*y**2 and give w. -3 Rearrange 30*m + 54*m**2 + 6*m**2 - 30*m to the form s*m + k + q*m**2 and give q. 60 Express v - 4*v - 4*v as d*v + f and give d. -7 Rearrange -4*j**3 + 2*j**3 - 3*j**4 + 2*j - 7*j**3 + j**4 to i*j**4 + k + b*j**3 + g*j**2 + z*j and give k. 0 Rearrange (4*n**2 - n**2 + n**2)*(2*n - 4*n + n) to the form f*n**2 + i + x*n + p*n**3 and give p. -4 Rearrange 2*c**2 - c + c - 2*c + 2*c**2 + 2*c + (c + 3*c - 2*c)*(2*c - c + c) - 2*c**2 - 1 + 1 to m + i*c**2 + h*c and give i. 6 Express 3*x**4 - 2*x + 55 - 55 - 4*x**2 - 2*x**3 as b*x**4 + y*x**2 + f*x**3 + a + d*x and give f. -2 Express -8*h - 67 - 69 - 2*h**2 + 134 in the form z*h + d + m*h**2 and give z. -8 Express 19*o + 47*o + 0*o - 3*o - 2*o + 3*o + (-2 + 3 + 0)*(-2*o + 4*o - o) in the form a + p*o and give p. 65 Rearrange -c + 5*c - 4*c - c to the form j + b*c and give b. -1 Rearrange 1 + 37*n**3 - 38*n**3 - 2 to the form d*n**2 + k + m*n**3 + t*n and give m. -1 Rearrange -10*c**2 + 1 + 3*c**2 - 5*c**3 + 5*c**2 + 0*c**2 to the form w*c**2 + t*c**3 + r + s*c and give r. 1 Rearrange 4*y**4 - 8*y**2 + y - 2*y**3 - 2*y - y**2 + 8*y**2 to the form l*y**2 + m*y + t + q*y**4 + o*y**3 and give l. -1 Express 15*q**2 - 5 - 2 + 7 in the form j*q**2 + c*q + m and give c. 0 Express f**2 + 2*f**2 - 300 - 5*f**2 + 229 in the form x + c*f + i*f**2 and give x. -71 Rearrange (-4 - 3 + 3)*(11*t**2 + 4*t**2 - t**2) to g*t + r + s*t**2 and give s. -56 Rearrange 35*t + t**3 + 18*t + 79*t**2 + 84*t**2 - 161*t**2 to the form u*t**2 + s + y*t**3 + x*t and give u. 2 Express 15*y - 18*y - 11*y - 10*y as c*y + t and give c. -24 Express -2 + 1 - 5*p + 3*p + 2*p - 4*p + 4*p + (2*p - 5*p + 2*p)*(0 - 3 + 2) + 2*p + 0*p + 0*p as m + g*p and give m. -1 Express 5*o**4 - 4*o**3 - 13 + 12 + o**3 as m*o**2 + z*o**4 + t*o**3 + l + f*o and give l. -1 Express -1 - 7*f - 2*f**4 + 2*f**2 + 3*f + 6*f + 5*f**3 - 4*f**3 in the form b*f**3 + n*f**2 + i*f**4 + z*f + y and give z. 2 Rearrange -5*u**2 + 12*u**2 - 6*u**2 to the form v + k*u + l*u**2 and give l. 1 Rearrange 0*t**3 + 3*t**2 - 5*t**3 - 4*t**2 - 8*t**3 to h*t + m + b*t**2 + w*t**3 and give w. -13 Rearrange (-5*z**3 - 5*z**3 + 4*z**3)*(1 + 2 - 5) - 2*z**3 - 2*z**3 + 0*z**3 to f*z**3 + v*z**2 + w + a*z and give f. 8 Express 18*y + 0 + 0 as b + j*y and give b. 0 Rearrange 31 - 31 + 45*f + (-3 + 2 + 3)*(f - 4 + 4) to the form a + r*f and give r. 47 Express (-k - k + 3*k)*(-4 + 6 - 7) - 5*k + 3*k - k as y*k + i and give y. -8 Rearrange (-3*g**2 + 6*g**2 + 4*g**2 + (g + 0*g + 0*g)*(0*g - 2*g + 0*g) + 10*g - 10*g + 8*g**2)*(0 - g + 0) to l + d*g**3 + x*g**2 + m*g and give d. -13 Express -2*n**2 - 14*n**2 - 9*n**2 as b*n**2 + t + q*n and give b. -25 Rearrange (3*n - 4*n + 0*n)*((34 - 15*n**2 - 34)*(4 - 5 + 3) + n**2 - 4*n**2 + 0*n**2) to the form d*n**2 + h + c*n + t*n**3 and give c. 0 Express 1 - w - 1 + w - 4*w + 2*w + 1 + w - 1 + (-5*w + 3*w + 4*w)*(0 + 4 - 3) + (-2 - 3 + 4)*(-2*w - 4*w + 3*w) + 25 + 15*w - 25 as t + x*w and give x. 19 Express 2 - 2 + 1 - 3 + 13*p**2 in the form g + s*p + v*p**2 and give g. -2 Rearrange 14*k**2 - 5*k**2 - 3*k**2 - k**2 to the form r*k**2 + t + u*k and give r. 5 Express 2*f**3 + 1 + 22*f + 3*f**2 - 4*f**2 - 18*f - 3 in the form k*f**2 + b + d*f**3 + q*f and give k. -1 Express -d + 5*d - 2*d - 4*d + 0*d + 5*d + (5*d - d - 2*d)*(4 + 1 - 3) + 3 + 2*d - 3 + (3*d + d - 5*d)*(20 - 7 + 6) in the form l + v*d and give v. -10 Express (-3 + 5 - 3)*(u**2 - 2*u**2 - 3*u**2 - u)*(-16*u + 16*u - 2*u**2) as y*u**3 + n*u**4 + x + o*u + g*u**2 and give o. 0 Express (-1 + 2*k + 1)*(3*k - 8*k + 6*k)*(1 - 5 + 3) in the form t + r*k**2 + x*k and give r. -2 Rearrange i**2 + 24*i**3 + 22*i**3 - 43*i**3 + 3*i to y*i**2 + w + r*i + o*i**3 and give o. 3 Rearrange (2 + 3 - 6)*(-1 - 3 + 3)*(2 + 1 - 2)*(-13*m**2 + 7*m**2 - 10*m**2) to the form g*m**2 + w*m + o and give g. -16 Express (-2*f + 4*f - f)*(0*f + 0*f + 2*f) + 3*f**2 + f**2 - 3*f**2 + (2*f + 0*f - 3*f)*(0*f - 2*f + 0*f) as c*f + l*f**2 + x and give l. 5 Rearrange 6*w - 2*w - 3*w - 19 + 16*w + 19 + (-2 - 5 + 5)*(-w + w - w) to the form r + k*w and give k. 19 Rearrange z**2 - 136 - 830*z + 830*z to the form p*z**2 + l*z + n and give p. 1 Express (-j - 16 - 2*j + 2*j)*(j**3 - 2*j**3 + 3*j**3) as o*j**3 + h + l*j**4 + d*j**2 + i*j and give i. 0 Express 7*o**3 + 6*o - 4*o**3 - 4*o**3 - 4*o**3 + 2*o**4 - o**2 in the form k*o**4 + q*o**3 + c*o**2 + z + r*o and give q. -5 Rearrange -63 + l**2 + 30 + 30 + 2*l**3 + 4*l**3 - 2*l + l**4 to the form w*l**3 + h*l**2 + b + f*l + j*l**4 and give w. 6 Express 16 + 6*j + j - 8*j as n*j + i and give i. 16 Rearrange (2*x - 4*x + 4*x)*(6*x**3 + 1 - 2*x**3 + 4*x**3) to the form q*x**3 + j*x**2 + f*x + g*x**4 + p and give g. 16 Express -2*v + 2*v + 2*v**2 + (3*v + 3*v - 3*v)*(-4 + 4 + 2*v) + v**2 + 2*v**2 + 2*v**2 in the form c*v**2 + p + d*v and give c. 13 Rearrange n**2 + 3*n**2 + 24*n**2 to s*n + g + m*n**2 and give m. 28 Express 0*s**3 + 3*s**4 + 0*s**3 + (-2*s - 2*s + s + s**3)*(2*s + 0*s - 6*s) as p + b*s**4 + d*s**3 + f*s + v*s**2 and give v. 12 Express (2 - y - 2)*(-2*y - 2*y + 3*y) + (7*y - 11 + 11)*(-2 + y + 2) in the form g*y + f*y**2 + q and give f. 8 Express 18*w**3 - 4 - 34*w**3 + 19*w**3 in the form a + z*w + x*w**2 + k*w**3 and give a. -4 Express 44*g**4 + 14*g**4 + 2*g**4 + (0 + 1 - 4)*(3*g**4 - 4*g**4 + 3*g**4) in the form x*g**3 + q*g + f*g**2 + y*g**4 + w and give y. 54 Rearrange (7 + 3*k**2 - 7)*(8*k + 0*k + 0 + 1) to z*k**3 + u*k**2 + y*k + r and give u. 3 Rearrange -1 - 2*r**2 + 1 + (-3*r + 11*r + 5*r)*(-r + r - r) to the form v*r + f*r**2 + z and give f. -15 Express ((-2 + 0 + 0)*(1 + 0 - 2) + 0 + 0 + 1)*(2 + 16*r - 2) as x + l*r and give l. 48 Rearrange (0 + 0 + 4)*(-g - g + 3*g)*(-2*g + g + 2*g) - 2*g - 3*g**2 + 2*g + (2*g - 5*g + 5*g)*(0 - g + 0) to the form p*g + a*g**2 + u and give a. -1 Rearrange
{ "pile_set_name": "DM Mathematics" }
n) - 33*y(n). -6*n - 3 Let z(a) = 13*a**3 + 5*a**2 + 33. Let c(i) = 6*i**3 + 2*i**2 + 17. Determine -14*c(n) + 6*z(n). -6*n**3 + 2*n**2 - 40 Let l(h) = -29*h**3 + 6*h**2 - 4*h + 10. Let k(p) = -31*p**3 + 7*p**2 - 6*p + 11. What is -4*k(w) + 5*l(w)? -21*w**3 + 2*w**2 + 4*w + 6 Let w(p) = -3*p - 2. Let k(d) be the third derivative of 5*d**4/12 + 5*d**3/6 + 14*d**2 - 56. Determine -4*k(a) - 11*w(a). -7*a + 2 Let p(t) = -20*t + 40. Let u be p(-15). Let v(d) = 7*d**2 + 670 - 339 - u - 7*d. Let n(r) = -3*r**2 + 4*r + 5. Determine -7*n(i) - 4*v(i). -7*i**2 + 1 Let y(o) = 5*o + 28. Let d(i) = 10 + 266*i - 132*i - 132*i. Let u(p) = 11*d(p) - 4*y(p). Let s(w) = 4*w - 3. Calculate -4*s(v) + 7*u(v). -2*v - 2 Let w(x) = -5*x**3 - 225*x**2 + 2*x. Let j(r) = 15*r**3 + 689*r**2 - 6*r. Determine 6*j(l) + 19*w(l). -5*l**3 - 141*l**2 + 2*l Let y(j) = -j**3 - 20. Let l(r) = -5*r**3 - 3102*r - 80. What is -l(s) + 4*y(s)? s**3 + 3102*s Let m(q) = -218*q**2 + 5*q + 5. Let y(v) = -223*v**2 + 6*v + 6. Determine 6*m(c) - 5*y(c). -193*c**2 Let x(j) = 3*j**2 - 3*j - 19. Let v(g) be the third derivative of -3*g**5/20 + g**4/3 + 19*g**3/2 - 1810*g**2 - 2*g. Give -3*v(a) - 8*x(a). 3*a**2 - 19 Let s(q) = -2*q**2 + 5*q. Let g(p) = 390*p**2 - 18*p - 1. Determine -g(v) - 4*s(v). -382*v**2 - 2*v + 1 Let x(r) = 27*r + 4. Let g be (12/(-7))/((-404)/2121). Let q(u) = -54*u - 9. Calculate g*x(p) + 4*q(p). 27*p Let p(h) be the first derivative of 5*h**3 + 5*h**2/2 - 21*h + 1837. Let b(o) = -3*o**2 - o + 4. Give -11*b(r) - 2*p(r). 3*r**2 + r - 2 Let a be ((-4)/10)/(-4*9/90). Let j(x) = 0 + 11*x + a + 19*x - 29*x. Let u(i) = -i**2 - i - 1. Determine -j(d) - u(d). d**2 Let i(j) = -j**3 - 1. Let h(q) = -2*q**3 - 2*q**2 - 38*q - 1. Calculate h(v) - 3*i(v). v**3 - 2*v**2 - 38*v + 2 Let f(q) = q - 3. Let p(c) = 9*c**2 + 47*c - 48. Let m be p(1). Let z(d) = -6*d + 9. Let n(u) = 5*u - 9. Let v(k) = 3*n(k) + 2*z(k). What is m*f(b) - 3*v(b)? -b + 3 Let o(v) = -6*v + 5. Suppose 10*b + 17 = c + 13*b, 4 = b. Let r(t) = -12*t + 9. Calculate c*o(g) - 3*r(g). 6*g - 2 Let j(a) = -7*a**2 - 183*a - 28. Let r(m) = 3*m**2 + 91*m + 12. Determine -4*j(d) - 9*r(d). d**2 - 87*d + 4 Let x be 16/12 - 2/(-3). Let z(r) = -4542*r - 7*r**2 + 4537*r + 0*r**x + 8. Let b(w) = 8*w**2 + 6*w - 9. Calculate -5*b(f) - 6*z(f). 2*f**2 - 3 Suppose 0*w - 3 = -w. Let c(f) = f**2 + w - 2 - 2*f**2. Let x(h) = 10*h**2 - 12. Let b = 86044 + -86045. Give b*x(y) - 12*c(y). 2*y**2 Let h(s) = -2451*s**2 + 66*s + 21. Let n(f) = -490*f**2 + 12*f + 4. Determine -2*h(y) + 11*n(y). -488*y**2 + 2 Let o(y) = -6 + 98*y + 88*y - 392*y + 93*y + 98*y. Let x(l) = 1. Determine -o(j) - 3*x(j). 15*j + 3 Suppose -3*h - 110 = -8*h. Let z be 0 - 1 - -7 - ((9 - 14) + 9). Let p(d) = -7*d**3 - 11*d**2 + 11. Let k(s) = s**3 + s**2 - 1. Calculate h*k(u) + z*p(u). 8*u**3 Let g(c) = 5*c**3 - c**2 + 12*c. Let t(s) be the third derivative of s**6/120 + s**4/8 - 581*s**2. What is 2*g(d) - 9*t(d)? d**3 - 2*d**2 - 3*d Let q be (-3)/(-3)*(-2 - -5). Let m(c) = -6*c**2 - 3*c - 3. Let o be -13*(-28)/(-1092)*-15. Let h(d) = 11*d**2 + 5*d + 5. Give o*m(p) + q*h(p). 3*p**2 Let m(a) = a**3 - 5*a - 2. Let k = -105 + -46. Let u = k + 149. Let w(l) = -2*l**3 + 6*l + 3. Determine u*w(x) - 3*m(x). x**3 + 3*x Let a(q) = -5 - 11 + 4 - 29*q**2 + 25 - 9*q. Let k be (-9)/(-2)*6/3. Let p(s) be the first derivative of -7*s**3/3 - s**2 + 3*s - 10. Give k*p(n) - 2*a(n). -5*n**2 + 1 Let d(b) = -12*b**3 + 6*b**2 - 3*b - 3. Let p(u) = 16*u**3 - 7*u**2 + 5*u + 4. What is 5*d(w) + 4*p(w)? 4*w**3 + 2*w**2 + 5*w + 1 Let k(u) = 252*u**3 - 5*u**2 + 19*u + 3. Let l(b) = 250*b**3 - 6*b**2 + 22*b + 3. Give 7*k(q) - 6*l(q). 264*q**3 + q**2 + q + 3 Let i = 7 + 4. Let k(z) = -53*z**2 + 27*z - 8. Let m(s) = -18*s**2 + 9*s - 3. Let d(b) = 3*k(b) - 8*m(b). Let o(c) = 8*c**2 - 5*c. What is i*o(u) + 6*d(u)? -2*u**2 - u Suppose 25*y + 95 = 30*y. Let s = 20 - y. Let v be s*6*(-1)/((-5)/5). Let c(l) = -3*l - 5. Let u(n) = 3*n + 6. Give v*c(j) + 5*u(j). -3*j Let z(l) = -l + 5. Let w(o) = o**2 + 10*o + 25. Determine 3*w(b) - 15*z(b). 3*b**2 + 45*b Let r(m) = -m**3 + 12*m**2 + 363*m + 29. Let q be r(26). Let l(a) = -16*a**2 + 2*a + 6. Let d(p) = 5*p**2 - p - 2. Calculate q*l(o) + 8*d(o). -8*o**2 - 2*o + 2 Let p(j) be the second derivative of -j**4/12 - j**3/6 - j**2/2 + 1522*j. Let l(w) = 2*w + 1. What is -3*l(q) - 2*p(q)? 2*q**2 - 4*q - 1 Let f(j) = 148*j**2 + 5*j. Let p(m) = -96*m**2 - 5*m. Let d(c) = -2*f(c) - 3*p(c). Let n(s) = -s**2 + s. Determine d(r) - 5*n(r). -3*r**2 Let u(q) = -18*q**3 + 326*q**2 - 12*q - 4. Let h(s) = 35*s**3 - 654*s**2 + 21*s + 7. Calculate -4*h(v) - 7*u(v). -14*v**3 + 334*v**2 Let t(g) = 3*g**2 + 4*g + 1. Let n(a) = -1 + 74*a - 4*a**2 + 1 - 77*a + 1 - 2. What is -3*n(r) - 2*t(r)? 6*r**2 + r + 1 Let x(j) = -14*j**2 + 4*j. Suppose 32 = -3*n + 38. Let v(b) = -539 + 266 + 15*b**n - 5*b + 273. Determine 4*v(z) + 5*x(z). -10*z**2 Let w(o) = -o**2 - 4*o - 3. Let s be 243/(-1458) + (-7)/(-6). Let q be 0 - (-2 + -1 + 5). Let t(f) = -1. Give q*t(u) + s*w(u). -u**2 - 4*u - 1 Let d(t) = -2*t**2 - t**2 + 1 + 4*t**2. Let i(k) = -910 - k**2 + 450 + 458. Give 3*d(c) + 2*i(c). c**2 - 1 Let k(i) = -1. Let o(p) = 24*p - 8. Let z(f) = -36*f + 14. Let m(r) = 8*o(r) + 5*z(r). Calculate -4*k(d) - m(d). -12*d - 2 Let p(r) = -2*r + 103. Let b(s) = -10*s + 516. Determine 2*b(i) - 11*p(i). 2*i - 101 Let f(g) = -6*g - 3. Let r(j) = -13*j - 7. Suppose 5*i + 49*i + 486 = 0. Determine i*f(d) + 4*r(d). 2*d - 1 Let b(p) = -5*p**2 + 2*p + 4. Suppose j + 2*z + 12 = 0, 819*z - 817*z = -5*j - 44. Let r(g) = -15*g**2 + 6*g + 13. Determine j*b(a) + 3*r(a). -5*a**2 + 2*a + 7 Let q(s) = -118813505*s + 1446940. Let g(t) = 6569*t - 80. Determine 72347*g(d) + 4*q(d). -6577*d Let o(p) = p + 2. Let b(a) be the first derivative of -a**2 - 4*a + 3. Let g(j) = -4*j**2 + 323*j - 323. Let i be g(1). Determine i*b(t) - 7*o(t). t + 2 Let o(j) = 2 - 96*j**3 - 6 - 96*j**3 + 243*j**3 - 40*j**3 + 1. Let a(x) = -3*x**2 + 34*x**3 + 3*x**2 - 10. Give 3*a(l) - 10*o(l). -8*l**3 Let f(v) = 30*v + 2040. Let u(k) = 6*k + 389. Give 4*f(c) - 21*u(c). -6*c - 9 Let v(w) = 113*w**2 + 6*w - 98. Let r(y) = -38*y**2 - 2*y + 31. Determine 19*r(f) + 6*v(f). -44*f**2 - 2*f + 1 Let m(w) = w**3 - 284*w**2 + 16920*w - 436. Let d be m(85). Let s(z) = 10*z**2 - 5. Let u(j) = -2*j**2 + 0*j**2 - 5 + 6. Calculate d*u(p) - 2*s(p). 2*p**2 - 1 Let s(t) = 2*t**2 + 2*t + 68. Let j(g) = 3*g**2 + g + 69. Give -3*j(f) + 2*s(f). -5*f**2 + f - 71 Let j(r) = r + 3. Let w(u) = 3*u**2 + 410*u + 15. Calculate -5*j(h) + w(h). 3*h**2 + 405*h Let b(q) = 5*q - 30605. Let n(a) = -2*a + 15313. What is -4*b(o) - 9*n(o)? -2*o - 15397 Let k(j) = -10*j + 61. Let w(a) = 22*a - 123. What is -9*k(h) - 4*w(h)? 2*h - 57 Let i(w) = w**3 - 35*w**2 + 67*w - 41. Let r be i(33). Let c(z) = 11*z**3 + 9*z**2 - 8*z. Let s(a) = -7*a**3 - 6*a**2 + 5*a. What is r*s(l) - 5*c(l)? l**3 + 3*l**2 Let f = 208 + -116. Let s = f - 53. Let r = s + -37. Let b(o) = -5*o. Let v(p) = p. Determine r*v(j) + b(j). -3*j Let m(n) = -4*n - 3. Suppose 20*k - 33 = 47. Let l be (-12 + k + 18)*2/(-5). Let h(p) = -8*p - 5. Determine l*h(g) + 7*m(g). 4*g - 1 Let r(u) = -u - 1. Suppose -20 + 4 = 16*h. Let a(o) = -3*o + 0*o - o + 3*o + 4. Give h*a(w) - 4*r(w). 5*w Let i(w) = -3*w**2 - 7*w - 1. Let a be (560/(-32) - -18)*4/1. Let s(n) = -n**2 - n - 1. Calculate a*s(c) - i(c). c**2 + 5*c - 1 Let a(j) = 7*j**2 + 2*j - 9. Let i(q) = -q**2 - 2*q - 2. Let h(k) = -a(k) + 2*i(k). Let g(w) = -26*w**2 - 17*w + 14. Determine 6*g(d) - 17*h(d). -3*d**2 - 1 Let z(o) = -10*o - 9. Let m(u) = -22*u - 20. Calculate 6*m(v) - 13*z(v). -2*v - 3 Let l(s) = 18450*s + 30. Let n(c) = 559*c + 1. Calculate -3*l(d) + 100*n(d). 550*d + 10 Let l(p) = 2*p**2 + 9*p - 18. Let a be l(8). Suppose 154 + a = 6*k. Suppose 41 - k = 5*t. Let q(u) = 5*u + 4. Let j(o) = 6*o + 5. What is t*j(f) + 4*q(f)? 2*f + 1 Let n(j) = -202*j + 18. Let k(a) = -3. Calculate -24*k(o) - 4*n(o). 808*o Let j(v) = -1758*v**2 + 15*v + 5. Let f(w) = -65044*w**2 + 552*w + 184. Determine -5*f(z) + 184*j(z). 1748*z**2 Let v(o) = 19462*o**2 - 74*o - 74. Let h(c) = 1622*c**2 - 6*c - 6. Calculate -74*h(l) + 6*v(l). -3256*l**2 Suppose 463 = -3*d + 112. Let n(g) be the first derivative of 48*g**2
{ "pile_set_name": "DM Mathematics" }
hhnnhhhnnhnnnh. Give prob of picking 2 h. 11/38 Three letters picked without replacement from {a: 3, h: 6, v: 1, f: 2}. What is prob of picking 1 h, 1 v, and 1 f? 3/55 What is prob of picking 2 e when two letters picked without replacement from {e: 3}? 1 Four letters picked without replacement from {z: 5, v: 7, i: 2, g: 4}. Give prob of picking 3 z and 1 v. 7/306 Calculate prob of picking 1 x and 2 p when three letters picked without replacement from {p: 5, g: 3, x: 4, e: 1}. 20/143 What is prob of picking 1 i and 1 w when two letters picked without replacement from {i: 3, c: 6, w: 3, q: 1, a: 1}? 9/91 Calculate prob of picking 1 i, 1 a, and 1 x when three letters picked without replacement from {e: 1, y: 1, i: 2, x: 1, a: 2, t: 1}. 1/14 What is prob of picking 1 p, 1 d, and 1 x when three letters picked without replacement from xxpozkd? 2/35 Two letters picked without replacement from nojnngyooynyne. What is prob of picking 1 n and 1 g? 5/91 What is prob of picking 1 w and 2 q when three letters picked without replacement from {w: 3, u: 11, q: 4}? 3/136 Two letters picked without replacement from bjibj. Give prob of picking 2 b. 1/10 Calculate prob of picking 1 e and 1 u when two letters picked without replacement from wquweuqvvekuuq. 8/91 What is prob of picking 1 f and 1 h when two letters picked without replacement from ufuh? 1/6 Three letters picked without replacement from {v: 5, q: 1, z: 2, o: 1, b: 5, n: 1}. Give prob of picking 2 q and 1 z. 0 Three letters picked without replacement from pugpppgggppppp. What is prob of picking 3 p? 3/13 What is prob of picking 2 v and 2 r when four letters picked without replacement from {r: 7, v: 3}? 3/10 Calculate prob of picking 1 a and 1 h when two letters picked without replacement from bwhwlhhahahw. 5/33 Three letters picked without replacement from bnbbbbfbbfbfbbb. What is prob of picking 1 f and 2 n? 0 What is prob of picking 3 p when three letters picked without replacement from {i: 7, p: 6}? 10/143 Two letters picked without replacement from {t: 3, b: 6, d: 1, w: 9}. What is prob of picking 1 w and 1 d? 1/19 What is prob of picking 1 w and 2 z when three letters picked without replacement from wbzwzzzwz? 5/14 Calculate prob of picking 2 h and 1 q when three letters picked without replacement from {h: 4, q: 4, i: 9, l: 3}. 2/95 Four letters picked without replacement from {f: 3, o: 3, q: 3, l: 4, y: 4, w: 3}. What is prob of picking 2 f and 2 w? 3/1615 Three letters picked without replacement from jzuqq. What is prob of picking 1 j and 2 q? 1/10 Four letters picked without replacement from vdttttdltvldtvk. What is prob of picking 1 l, 2 v, and 1 t? 12/455 Calculate prob of picking 1 a and 2 i when three letters picked without replacement from {u: 1, e: 1, i: 2, a: 2, d: 6}. 1/110 Two letters picked without replacement from {v: 3, t: 3, a: 3, z: 3, w: 1, r: 1}. What is prob of picking 1 t and 1 w? 3/91 Four letters picked without replacement from {n: 9, t: 2, u: 8}. Give prob of picking 2 t and 2 n. 3/323 Calculate prob of picking 1 s and 3 t when four letters picked without replacement from {e: 3, i: 3, s: 4, o: 3, t: 3}. 1/455 Calculate prob of picking 2 d when two letters picked without replacement from {x: 2, d: 2, y: 4}. 1/28 What is prob of picking 1 l, 1 z, and 2 p when four letters picked without replacement from vkvvlvzppzvv? 2/495 Four letters picked without replacement from odtttdwwotottdd. Give prob of picking 1 t and 3 o. 2/455 Two letters picked without replacement from qqbccbjbbccbqjbqbbbb. What is prob of picking 2 b? 9/38 What is prob of picking 2 l and 2 p when four letters picked without replacement from pplllppllpll? 14/33 Three letters picked without replacement from {f: 1, y: 4, j: 6}. Give prob of picking 2 j and 1 y. 4/11 What is prob of picking 2 r and 1 p when three letters picked without replacement from lrnlprpll? 1/42 Two letters picked without replacement from iitht. What is prob of picking 1 i and 1 t? 2/5 What is prob of picking 1 z, 1 y, and 2 v when four letters picked without replacement from {m: 5, l: 1, z: 5, v: 6, y: 3}? 15/323 Four letters picked without replacement from {c: 7, v: 2, m: 1, p: 4, x: 3}. Give prob of picking 1 c, 1 p, 1 v, and 1 x. 6/85 Calculate prob of picking 1 k and 2 o when three letters picked without replacement from {o: 8, k: 3}. 28/55 Three letters picked without replacement from ppppwpppw. What is prob of picking 1 w and 2 p? 1/2 What is prob of picking 1 j and 2 a when three letters picked without replacement from fhjahfjahhhhajhjh? 3/170 Two letters picked without replacement from uunnunuu. Give prob of picking 1 n and 1 u. 15/28 Calculate prob of picking 1 i, 1 g, and 1 c when three letters picked without replacement from cccciimmmagimci. 4/91 What is prob of picking 2 f when two letters picked without replacement from vdff? 1/6 Three letters picked without replacement from {q: 1, f: 3, a: 1, r: 2}. What is prob of picking 3 f? 1/35 Three letters picked without replacement from hdcoaoc. What is prob of picking 1 o, 1 a, and 1 d? 2/35 Three letters picked without replacement from {w: 9, y: 2, u: 3, m: 2}. Give prob of picking 2 u and 1 m. 3/280 What is prob of picking 1 n and 1 m when two letters picked without replacement from nmnnvmmnnnnvnvnmnn? 44/153 Two letters picked without replacement from ujomb. Give prob of picking 1 b and 1 o. 1/10 Calculate prob of picking 1 b and 1 a when two letters picked without replacement from aabbbabbbab. 28/55 What is prob of picking 1 v and 1 r when two letters picked without replacement from {v: 1, r: 3}? 1/2 Two letters picked without replacement from {i: 4, k: 9, b: 3}. What is prob of picking 2 b? 1/40 Three letters picked without replacement from {a: 2, y: 6, n: 2, s: 6, z: 1, q: 1}. What is prob of picking 2 n and 1 a? 1/408 Four letters picked without replacement from {o: 1, p: 2, u: 4}. Give prob of picking 2 u, 1 p, and 1 o. 12/35 Four letters picked without replacement from xxxpixuu. What is prob of picking 1 u, 2 x, and 1 p? 6/35 Calculate prob of picking 1 w and 1 i when two letters picked without replacement from {w: 1, i: 1, j: 1}. 1/3 Calculate prob of picking 1 o and 2 s when three letters picked without replacement from osspfsosfa. 1/10 Calculate prob of picking 1 d and 3 q when four letters picked without replacement from {f: 3, d: 2, q: 7}. 14/99 Three letters picked without replacement from bnblnjmmbbbwl. What is prob of picking 2 b and 1 j? 5/143 Four letters picked without replacement from {e: 4, v: 2, h: 6, a: 1, j: 2}. Give prob of picking 1 j and 3 v. 0 Four letters picked without replacement from babbhaahhhhbbahbhab. What is prob of picking 2 h and 2 b? 147/1292 Calculate prob of picking 1 o, 2 b, and 1 g when four letters picked without replacement from {o: 5, b: 3, a: 1, g: 7}. 3/52 Four letters picked without replacement from nnnfhfhhnnnnhhfn. What is prob of picking 1 f, 1 n, and 2 h? 12/91 What is prob of picking 1 x, 1 t, and 1 n when three letters picked without replacement from {o: 2, i: 1, f: 3, n: 1, t: 2, x: 3}? 3/110 What is prob of picking 1 v, 2 i, and 1 h when four letters picked without replacement from iihvvvvi? 6/35 Three letters picked without replacement from {y: 2, b: 1, m: 6, l: 5, k: 3}. What is prob of picking 2 k and 1 l? 3/136 Three letters picked without replacement from {q: 3, o: 10, h: 4, j: 1}. What is prob of picking 1 o, 1 h, and 1 j? 5/102 What is prob of picking 1 v, 1 n, and 2 t when four letters picked without replacement from {v: 1, t: 2, n: 1, x: 1}? 1/5 Calculate prob of picking 2 q when two letters picked without replacement from qqqqqq. 1 Two letters picked without replacement from {g: 7, b: 4, z: 7}. What is prob of picking 1 b and 1 z? 28/153 Three letters picked without replacement from {f: 2, e: 4}. What is prob of picking 1 f and 2 e? 3/5 Four letters picked without replacement from lgljggljglj. What is prob of picking 3 g and 1 l? 8/165 Two letters picked without replacement from {e: 2, o: 1}. Give prob of picking 1 e and 1 o. 2/3 Two letters picked without replacement from {r: 1, x: 1, q: 1, l: 1, h: 1, v: 2}. What is prob of picking 2 v? 1/21 Three letters picked without replacement from pjpjppj. Give prob of pic
{ "pile_set_name": "DM Mathematics" }
t t = s - 0.87. What is the closest to -2/5 in 5, t, 1? t Let d be ((-2)/64)/((-30)/(-678)). Let w = d - 3/32. Let q be 32/48*1/(-2). What is the closest to -2/7 in q, w, -1? q Let y be (4 + -2)/(6/36*-15). Which is the closest to -0.2? (a) -0.084 (b) 0.5 (c) -2/7 (d) y c Suppose 5*g - 2 = k + 2, 3*k + 3*g - 6 = 0. Let r = 4 - 6. Which is the nearest to k? (a) 5 (b) r (c) -0.2 c Let m = -0.7 + 1. Let y = -83 + 83. Which is the nearest to -0.1? (a) y (b) 5 (c) m a Let y be 1/(-3) - (-20)/15. Let v(o) = o**3 + 6*o**2 + 2*o - 14. Let i be v(-6). Let f be (-108)/i - 8/2. Which is the closest to y? (a) f (b) 0.3 (c) -1/6 b Let v be (130/(-312))/((-5)/(-2)). Which is the closest to v? (a) 5 (b) -0.3 (c) -1 b Let u be (-2)/4*(-4)/8. Let w be (-5 + 88/16)*1. What is the nearest to w in 3/5, -0.4, u? 3/5 Let y = 384/665 + 3/133. What is the nearest to y in 0, -0.5, -2? 0 Let p = 59.3 + -59. Let d be 6/120*-5 - (-13)/20. Let c = 13 + -8. What is the nearest to d in 4, p, c? p Let k be (-6 - 1 - 0) + 350/56. Which is the nearest to 0.1? (a) 4 (b) k (c) 3 (d) -0.06 d Let l = -1156 + 1135. What is the nearest to l in -4, 0, -3, 1? -4 Let j = -0.36582 + 0.06582. Let h = 0.3 + -0.3. What is the closest to h in j, 8, -2/3? j Suppose -2*h + 3 + 1 = 0. Let x = 7 + 0. Suppose 5*i - h = -x. Which is the closest to i? (a) -0.1 (b) -5 (c) -3/2 c Let n = -8.7 + 8.6. Let l = -9/100 + -4/25. What is the closest to n in 1/2, 2/11, l? l Suppose 0*d + 11 = -2*n + d, -4*d = 3*n - 11. Let y = -0.3 - 0.7. Which is the closest to y? (a) -4/5 (b) 0.04 (c) n a Let l = -2.0369 - -0.0369. Which is the nearest to 2/9? (a) -2/9 (b) l (c) 0.2 (d) -0.07 c Let u = -353 + 360. Which is the nearest to -2/7? (a) u (b) 3 (c) 2/3 (d) 1 c Suppose -4*g = -9 - 163. Let f = 39 - g. Which is the nearest to -1/3? (a) 1.3 (b) f (c) 1/2 c Suppose -3*d + 4*s = 6*s - 8, 3*d - 7 = -s. Let t = 13.16 + -0.16. Let j = -13.5 + t. What is the nearest to -0.08 in d, -2/7, j? -2/7 Let o = 0.29 - -0.01. Let w = 6.391 - 0.681. Let t = w + -0.71. What is the closest to -1 in o, t, -0.3? -0.3 Let t = 222 + -226. What is the closest to 2/3 in -3, t, 4, -0.4? -0.4 Let a = -497 + 494. Let g = -14 + 13. What is the nearest to 1 in 8, g, a? g Suppose 4*v + 5*s - 9 = 0, 9*v - 5*s = 4*v. Which is the closest to -0.3? (a) v (b) -3/5 (c) 4 (d) 9 b Let z = 0.25 + -0.2. Let p = -777 + 776.45. Let w = z + p. What is the closest to 0.2 in w, -0.3, 0.5? 0.5 Let q = -539/436 + -3/218. Let t = -5 - -3. Let v = 2.3 + t. Which is the closest to 0? (a) q (b) v (c) 0.2 c Let p be 3/(-6) - 7/126*-13. Which is the nearest to -0.07? (a) 2/7 (b) p (c) 3 b Let r = 0.197 + -2.197. Which is the nearest to 0.1? (a) r (b) -4 (c) 6/11 c Let s = 1.233 - 1.333. What is the nearest to 1 in 0.7, -2/13, 8, s? 0.7 Suppose -5*d + 19 = -6. Suppose 0 = 5*j + d*h + 3 + 32, -3*j = -2*h + 46. Let x be 15*-1*(-4)/j. Which is the closest to 0.1? (a) -2/9 (b) x (c) 4 a Suppose -4*b + 7 + 5 = 4*q, b + 12 = 2*q. Let c = 2/419 - 425/1257. Let l(k) = -3*k**2 + 5*k - 4. Let a be l(1). What is the closest to b in -2/3, c, a? a Suppose 4 = -1415*f + 1413*f. Which is the nearest to 0.07? (a) -3 (b) f (c) 2/11 c Let v = -0.06 + 0.26. Which is the closest to -0.1? (a) 0.35 (b) -0.1 (c) v b Let d = -341 + 628. Let k = -3733/13 + d. Which is the nearest to 0.9? (a) 3/8 (b) k (c) 3 a Let d be (-4)/(4*(-20)/16 - 7). Let b = -39/16 + -1/16. What is the nearest to -4 in 0.5, b, d? b Let t = 253 + -249. What is the nearest to t in 3, -1/2, 1? 3 Let z be (92/(-138))/((-26)/(-6)). Which is the nearest to 2/9? (a) 1/3 (b) 24/17 (c) z a Let m(u) = -u**2 - 10*u - 11. Let j be m(-8). Suppose -j*r = -4 + 9. Let i be r*(-4 + (-116)/(-28)). Which is the closest to -1/4? (a) 0.03 (b) -1 (c) i c Let q = 80.07 + -80. Which is the closest to q? (a) 1 (b) -4 (c) 0 c Let n be (-30 - -29)/((-2)/8). Let q be (10/105)/(1/(-3)). Let v = -3.03 + 0.03. Which is the nearest to q? (a) -2/5 (b) v (c) n a Let d = -3.9 - -1.9. Let g = -1 - d. Which is the nearest to g? (a) 4 (b) 1 (c) -0.5 b Let j = -16 + 21. Let v = 0.6 - 0.1. What is the closest to 2/7 in -1, v, j? v Let y = -11.2 - -11.204. Let q = y + 25.996. Which is the closest to -1? (a) q (b) 2 (c) -3 c Let t = -2.9178 + -0.0822. Which is the closest to 0? (a) -65 (b) t (c) 0.1 (d) -2 c Let w = 265/2686 + 3/158. Let t be ((-4)/6)/(3/((-27)/2)). Which is the closest to t? (a) -3 (b) 2 (c) w b Let y = 571 + -570.094. Let u = 0.094 + y. What is the nearest to -1/3 in u, -0.2, -1? -0.2 Let p be 4/(-18)*(-1 - 4/8). Let v be (-3)/((-2 - 0)/2). Which is the closest to p? (a) v (b) 2 (c) -1 c Let t = 7.9 - 8. Let y = -272.1 + 272. What is the nearest to y in t, 4, 4/3? t Let v = -57 - -56.98. What is the closest to 2 in v, -0.5, 5? v Let w = -415/6 + 69. Let r = -1.038 + 0.058. Let n = -0.02 + r. What is the nearest to -0.1 in n, 4, w? w Let v = -0.1397 + 0.1097. Which is the closest to v? (a) 0.035 (b) 1/3 (c) -3 (d) 0.2 a Suppose -2*f = 5*x + 29, -x + 4*f - 18 - 1 = 0. Which is the nearest to -0.1? (a) x (b) -0.4 (c) -2/7 c Let l = -0.2 - -0.4. Let j = -0.7 + 0.6. Suppose 4*k + 2*b - 14 = 4*b, -5*k - b + 7 = 0. What is the closest to j in k, -1/3, l? -1/3 Let r be (8/(-6))/2 - 0. Suppose -1 = 2*v + 1. Let y(z) = -z**3 + 7*z**2 - 13*z + 11. Let q be y(5). Which is the closest to 1/4? (a) q (b) v (c) r c Let g = 1738.2 - 1738. Which is the nearest to 20? (a) 2 (b) g (c) 4 (d) 3/2 c Let b(t) = -20*t + 466. Let c be b(23). What is the closest to c in 4, 5, -2? 5 Let j = -12.24 + 12.34. Which is the closest to -1/5? (a) j (b) 3 (c) 4 (d) 5 a Let l = -5.09 - -7.02. Let i = -1.5 + 1.43. Let g = l - i. Which is the closest to 0? (a) 6 (b) g (c) 0.1 c Let o = 1/658 - -185/1974. Let f = -772.25 - -772.3. Which is the nearest to f? (a) o (b) -3 (c) 2 a Let x = -0.6 + -0.4. Let h = 119 + -119.2. What is the closest to 0 in h, x, 5? h Let k(p) = p**3 - 10*p**2 - 12*p + 16. Let f be k(11). Suppose -f*h + 0*s - 78 = s, -42 = 2*h - 5*s. Which is the nearest to 1/4? (a) 2/5 (b) h (c) -4 a Let d = -152.02 + 152. Suppose 4*x + 1 = -11. What is the nearest to 1 in d, -0.2, x? d Let o = 24 + 21. Let j = -42 + o. Which is the closest to j? (a) 5 (b) -4 (c) -0.3 a Let h = 1101 - 1100. Let s be ((-6)/8)/(-1)*4. Let l be (s/9)/(2/6). Which is the closest to l? (a) h (b) 2/5 (c) 2/9 a Suppose 15*k - 17 = -2*k. Suppose -2*z + 7*z = 3*l - 7, 0 = 4*z + 5*l - 24. Let b be -1*z - 20/(-15). What is the nearest to 2 in k, -1/2, b? k Suppose -4*m - 12 + 4 = 0, -5*r = -2*m - 14. Let u = 9.93 - 10. Let l = u + -2.93. Which is the closest to 1/4? (a) r (b) -2 (c) l a Let q = -227.6 - -226.6. What is the closest to q in -0.3, 1, -0.64? -0.64 Let h = 0.12 - -3.38. Let r = 4 - h. Let u = -2.9478 - 0.0522. Which is the nearest to 2/5? (a) u (b) 5 (c) r c Let z = 0.9 - -0.1. Let j be (-1)/((-57)/108) + (-24)/12. Let u = -4 + 3. What is the nearest to z in 0.4, j, u? 0.4 Let b = -90.28 + 90. What is the closest to 0.1 in -2, b, 3/2? b Let g = -349/10 - -69/2. Which is the nearest to 2? (a) g (b) -3 (c) 1 c Let x = -29.7 + 1.2. Let t = x - -28. Which is the closest to -5? (a) -1 (b) 0.5 (c) t a Let w be (1 + (-1 - 4))*-1. Suppose i + 6*i = -i. What is the closest to 0 in w, 0.4, i? i Let i = -0.2 - -0.3. Let l = 0 - i. Let g = 3178 - 3179. What is the nearest to l in 2, 2/9, g? 2/9 Let q = 32.3 + -15.6. Let c = q - 17. What is the nearest to 1 in c, 5, 2/107? 2/107 Let z = 1.27 - 1.07. Let y = 97.05 + -95. Let j = 0.05 - y. Which is the closest to -2/5? (a) z (b) j (c) 0.4 a Let g = 12 - 11. Let d be (-1)/12*(-40)/(-15). Which is the nearest to g? (a) 0.2 (b) -1/5 (c) d a Let j(a) = -a**2 + 14*a + 347. Let i be j(-13). Let h = -0.3 - 0.7. What is the nearest to h in 1/2, 0.4, i? 0.4 Let l = -1.71 + 12.61. Let h = -10 + l. Let k = 1.2 - h. Which is the nearest to 2/5? (a) -5 (b) 4 (c) k c Let v = 0.07 + -0.27. What is the closest to 0 in v, 0, 27? 0 Suppose 18*i = 10*i + 16. Which is the closest to i? (a) -4 (b) -4/7 (c) 0.2 c Let s = 10.5 - 10.637. Let d = 0.037 + s. Which is the closest to d? (a) -2 (b) 0.4 (c) 8 b Let f be ((-3)/81)/
{ "pile_set_name": "DM Mathematics" }
-54/61 in ascending order. -54/61, -2/3, -2/15, 96/11 Sort -6, 6976013, 0 in descending order. 6976013, 0, -6 Sort -431/8, -0.3, 1, -227, -4, -2 in decreasing order. 1, -0.3, -2, -4, -431/8, -227 Sort 10, -66, -1, 12, 5, 1. -66, -1, 1, 5, 10, 12 Put 953, -0.02, -3/5, 1/3, 1.3, -1 in descending order. 953, 1.3, 1/3, -0.02, -3/5, -1 Sort 248, 3/8, 3/4, -20. -20, 3/8, 3/4, 248 Sort 4/7, 2/7, 2, 1, 243, 2/9201. 2/9201, 2/7, 4/7, 1, 2, 243 Sort -2, 106, 4, -4, 2/9, -0.18, -1 in increasing order. -4, -2, -1, -0.18, 2/9, 4, 106 Sort -3, -21, -4, 2, -170, 6, 4. -170, -21, -4, -3, 2, 4, 6 Put 14498, 14, -4, -3, 8, -5 in ascending order. -5, -4, -3, 8, 14, 14498 Sort -15128, 18, 4, -4 in decreasing order. 18, 4, -4, -15128 Put -1, -8, 2852998 in descending order. 2852998, -1, -8 Put -0.5, 4467505, -4 in descending order. 4467505, -0.5, -4 Sort 2, -4, -91, 578, -7, 5, 3 in descending order. 578, 5, 3, 2, -4, -7, -91 Sort -1, -6, -3, 75, -5, 4, -4 in decreasing order. 75, 4, -1, -3, -4, -5, -6 Put -2, -8, -86, 2, 1, -1, 202 in ascending order. -86, -8, -2, -1, 1, 2, 202 Sort 5, 4, -4/3, -2, -4.679 in descending order. 5, 4, -4/3, -2, -4.679 Sort -80784.5, 1, 0.2, 5 in ascending order. -80784.5, 0.2, 1, 5 Put 9, 2489, 1, -86 in descending order. 2489, 9, 1, -86 Put 0.68, -116.1, -2, -3, 35 in decreasing order. 35, 0.68, -2, -3, -116.1 Put -35, 528, 13, -3, 2 in increasing order. -35, -3, 2, 13, 528 Sort 10, -2, 3, -109015, 9, 1 in descending order. 10, 9, 3, 1, -2, -109015 Sort 2, 1, -9, -5, 5, -1580 in increasing order. -1580, -9, -5, 1, 2, 5 Sort 33466, -103, 0.3 in decreasing order. 33466, 0.3, -103 Sort -19447/9, 3, 0 in decreasing order. 3, 0, -19447/9 Put -18, -1/6, -9, 2, -0.8, -0.12 in decreasing order. 2, -0.12, -1/6, -0.8, -9, -18 Sort 67944, 4, 7, -9, 2. -9, 2, 4, 7, 67944 Put -1, -17, -7, 2/5645 in descending order. 2/5645, -1, -7, -17 Sort -3556, -31, 333. -3556, -31, 333 Sort -4, 5, 851, 67, 18 in descending order. 851, 67, 18, 5, -4 Sort -0.1, 1, 3/2, -5, -14, 2/547 in decreasing order. 3/2, 1, 2/547, -0.1, -5, -14 Put -11944, -3, 6, 54, 1 in descending order. 54, 6, 1, -3, -11944 Sort -1/2, 0.42, 1/6, 61, 23 in decreasing order. 61, 23, 0.42, 1/6, -1/2 Sort 1, 1/10, 10, -4, 1017 in descending order. 1017, 10, 1, 1/10, -4 Sort 146, 615, -105 in descending order. 615, 146, -105 Sort -37499, 0, 1/346. -37499, 0, 1/346 Put -14, -4, -6268, -12 in descending order. -4, -12, -14, -6268 Sort 5, -4, -336555, 3 in decreasing order. 5, 3, -4, -336555 Sort -1, -75, -6, 0, 4079, -5, 4. -75, -6, -5, -1, 0, 4, 4079 Sort -1, -33, -79752, 2 in decreasing order. 2, -1, -33, -79752 Put 8, 178, -126385 in decreasing order. 178, 8, -126385 Sort 2, 164, -2728, -2, 3 in ascending order. -2728, -2, 2, 3, 164 Sort -374407, 5, -15, 4, 0 in decreasing order. 5, 4, 0, -15, -374407 Put 1814, -0.3, 5315, 2/7 in decreasing order. 5315, 1814, 2/7, -0.3 Put -4, -3, -1345, 3, 0, 4, 40 in decreasing order. 40, 4, 3, 0, -3, -4, -1345 Put -2/9, -8, 6, -2.1, 42, 0.18 in decreasing order. 42, 6, 0.18, -2/9, -2.1, -8 Sort 0.4, -1, 0, -1089739, 1/2 in descending order. 1/2, 0.4, 0, -1, -1089739 Sort -1, 2, 61, -3, 95, 3, -19 in descending order. 95, 61, 3, 2, -1, -3, -19 Sort 3/2, 2, -49/80, -6/7. -6/7, -49/80, 3/2, 2 Put 25374362, 2, 11 in ascending order. 2, 11, 25374362 Sort -291, 5, -82511 in ascending order. -82511, -291, 5 Sort -5, 460, -6, -64 in descending order. 460, -5, -6, -64 Sort 1, -168, -5, -8, 5, 35, -1. -168, -8, -5, -1, 1, 5, 35 Sort 2, -1, 407, -2, 17, 25 in ascending order. -2, -1, 2, 17, 25, 407 Sort -5, 1075, 385, 6. -5, 6, 385, 1075 Sort -2, -12, -19, -5, -2727, 3 in descending order. 3, -2, -5, -12, -19, -2727 Sort -60, -7, 66, -0.2, 4/45, -0.3 in ascending order. -60, -7, -0.3, -0.2, 4/45, 66 Sort 3557, 19, 7, 5, 2. 2, 5, 7, 19, 3557 Sort 0.4, -50, -187.6 in decreasing order. 0.4, -50, -187.6 Put 0, -15, 4, -2, 5, 12040 in decreasing order. 12040, 5, 4, 0, -2, -15 Put 1296, -3/190, -29 in increasing order. -29, -3/190, 1296 Put 1, 50, -59, 0, 9, 3, -3 in ascending order. -59, -3, 0, 1, 3, 9, 50 Sort -5, 332, 1, -1/9, 1/13, 0.1. -5, -1/9, 1/13, 0.1, 1, 332 Sort 8, 0, -116, -0.1, -3, -10 in decreasing order. 8, 0, -0.1, -3, -10, -116 Sort 49, 13, -547023 in increasing order. -547023, 13, 49 Sort 1/58, 180, -13/7. -13/7, 1/58, 180 Put 2, -15, 0, 3, -1, 91, -82 in decreasing order. 91, 3, 2, 0, -1, -15, -82 Put 129, 4, 49, -3, 0 in ascending order. -3, 0, 4, 49, 129 Sort 2, 0, -14, 81911521 in decreasing order. 81911521, 2, 0, -14 Put -324, 13, -1457 in ascending order. -1457, -324, 13 Sort 2, -10, 368733, -2, -3 in descending order. 368733, 2, -2, -3, -10 Put 2, 69, -3, -5, -4, 294, 0 in descending order. 294, 69, 2, 0, -3, -4, -5 Sort 1, 942310, 11 in decreasing order. 942310, 11, 1 Sort -2.119, 1/4, 0.6, 3/23 in decreasing order. 0.6, 1/4, 3/23, -2.119 Put 10, -1, -11100, 9, -7 in ascending order. -11100, -7, -1, 9, 10 Put 0.3, 133, 4, 6, -213 in descending order. 133, 6, 4, 0.3, -213 Sort 91, -14, 1, -401 in decreasing order. 91, 1, -14, -401 Sort 798, 12, 6, 114, -5. -5, 6, 12, 114, 798 Sort -578, 503390, -2. -578, -2, 503390 Put 29, -1, -431, 28, 1, -2 in ascending order. -431, -2, -1, 1, 28, 29 Put 3, -5, 10, 35, -853 in decreasing order. 35, 10, 3, -5, -853 Sort -5, 5, 11, -40511 in descending order. 11, 5, -5, -40511 Sort 780, 76, 0, -4 in decreasing order. 780, 76, 0, -4 Sort 1082, 0, 231, 2, -2, 106. -2, 0, 2, 106, 231, 1082 Sort -0.1, -1295, -3, -0.01, -25 in decreasing order. -0.01, -0.1, -3, -25, -1295 Put 0.2, 1/9, -3/860, 3, 0.4, 0.9 in descending order. 3, 0.9, 0.4, 0.2, 1/9, -3/860 Sort 5, -4508, 4460. -4508, 5, 4460 Put 3/4, 4129, -2, 1/3, 0, 2/25 in ascending order. -2, 0, 2/25, 1/3, 3/4, 4129 Sort 12, -174, 0, 4, -1, -114, 5 in increasing order. -174, -114, -1, 0, 4, 5, 12 Sort 14, 1/4, 15, -102/551. -102/551, 1/4, 14, 15 Sort 321, -2/3, 3/4, -0.5, 334 in descending order. 334, 321, 3/4, -0.5, -2/3 Put 6, -7, -6, -1, -460 in decreasing order. 6, -1, -6, -7, -460 Sort -21, 8, 16, 427. -21, 8, 16, 427 Put -5, -1869, 798, 5, -1 in descending order. 798, 5, -1, -5, -1869 Put 4/51, 0.06, -1/15, 1, 0.3 in decreasing order. 1, 0.3, 4/51, 0.06, -1/15 Sort 2, 31, 4, -0.1, -3, 0.6, -5 in ascending order. -5, -3, -0.1, 0.6, 2, 4, 31 Sort 0, 5642, 439 in descending order. 5642, 439, 0 Sort -1, 840, -19, 0, -4, -21, 3 in decreasing order. 840, 3, 0, -1, -4, -19, -21 Put 23, 5, -5, -4, -668 in increasing order. -668, -5, -4, 5, 23 Put -4, 2/3, -303, 302 in ascending order. -303, -4, 2/3, 302 Sort -373, 96, 2.9, 5/4. -373, 5/4, 2.9, 96 Sort -5, -6, 195973, 3 in ascending order. -6, -5, 3, 195973 Sort -602, 1, 5, -309, -51, -4. -602, -309, -51, -4, 1, 5 Sort 9, -2, 39, 13, -1, 6. -2, -1, 6, 9, 13, 39 Put -7865032, -5, 1, 2 in ascending order. -7865032, -5, 1, 2 Sort 1, 361, 290190 in ascending order. 1, 361, 290190 Sort -22944, -1, 5/7, -2/13, 4 in decreasing order. 4, 5/7, -2/13, -1, -22944 Put 5, 217, -6574, -1/6 in decreasing order. 217, 5, -1/6, -6574 Put 27, -1, -144, -155, -4 in ascending order. -155, -144, -4, -1, 27 Put -22/223, -1/445, -9 in decreasing order. -1/445, -22/223, -9 Sort 4, 0, -7, -33595, -15, 2 in decreasing order. 4, 2, 0, -7, -15, -33595 Put 2/185, -4, -0.3, 8/61, -0.05 in increasing order. -4, -0.3, -0.05, 2/185, 8/61 Sort 1, 3, 4, -20, 5, -1, -757. -757, -20, -1, 1, 3, 4, 5 Put -54, 15, 4, -34, -7 in descending order. 15, 4, -7, -34, -54 Sort -2, 5, 2, 9, -6298, -1, 4 in descending order. 9, 5, 4, 2, -1, -2, -6298 Put -10, 0, -130, -2774, -2 in ascending order. -2774, -130, -10, -2, 0 Sort -2/23, 5437, -92, -0.022 in increasing order. -92, -2/23, -0.022, 5437 Put 1/21, -0.1, 2, -127/2, 1/4 in increasing order. -127/2, -0.1, 1/21, 1/4, 2 Sort -18, 12, 3/1055, 3, 2, 0.01 in descending order. 12, 3, 2, 0.01, 3/1055, -18 Put 5, -43665, -5, -168, -1 in descending order. 5, -1, -5, -168, -43665 Put -2/7, -5/2, 1/6, 530 in increasing order. -5/2, -2/7, 1/6, 530 Sort 0.03, 71675, 9.4. 0.03, 9.4, 71675 Sort -195, -2.5, -358, 0.3 in increasing order. -358, -195, -2.5, 0.3 Sort -4, 5, 3, 209767, -5 in descending order. 209767, 5, 3, -4, -5 Sort -1004, 14, -3, 1/3, 1/8 in descending order. 14, 1/3, 1/8, -3, -1004 Sort 0.2, -1/9, 26785,
{ "pile_set_name": "DM Mathematics" }
*p Collect the terms in -45*g**3 - 4380*g + 4380*g. -45*g**3 Collect the terms in -131*i + 48*i - 363*i**3 - 293*i**3 + 44*i + 39*i - 20 + 655*i**3. -i**3 - 20 Collect the terms in -61*j**3 - 212*j**3 + 2491*j**3. 2218*j**3 Collect the terms in -888226596*f + 888226596*f - 37*f**3 + 7*f**3. -30*f**3 Collect the terms in 4173117*w - 2086617*w - 2086587*w. -87*w Collect the terms in 6499*z - 6497*z - 16 + 12 - 3 + 7. 2*z Collect the terms in 207074*u - 103567*u - 103504*u. 3*u Collect the terms in 152 - 5*b**3 + 374 - 541. -5*b**3 - 15 Collect the terms in 153390*j**2 + 138*j**3 + 541*j**3 - 153390*j**2. 679*j**3 Collect the terms in -493888*h + 1481633*h - 493870*h - 493860*h. 15*h Collect the terms in -14750868 - 1559*u**2 + 14750868. -1559*u**2 Collect the terms in 9*k**3 + 516*k**3 - 89*k**3 - 53*k**3. 383*k**3 Collect the terms in -2914*k**3 + 5866*k**3 - 3068*k**3. -116*k**3 Collect the terms in 3996*k - 2478*k - 802*k. 716*k Collect the terms in 409*s - 1229*s - 2890*s**3 + 410*s + 410*s. -2890*s**3 Collect the terms in -73 + a**2 - 1262*a - 10*a**2 + 1262*a - 9*a**2. -18*a**2 - 73 Collect the terms in -3074*r**2 - 38 - 43 + 81 + 3122*r**2. 48*r**2 Collect the terms in -25177*r**3 - 19213*r**3 + 17458*r**3 - 19455*r**3. -46387*r**3 Collect the terms in 1872611071976*b - b**3 - 1872611071976*b. -b**3 Collect the terms in 5606665 - 5606665 + 60*h**2 + 2*h**2. 62*h**2 Collect the terms in 79562787*d**3 - 39781297*d**3 - 39781485*d**3. 5*d**3 Collect the terms in -384*b**2 + 3077*b**2 - 1554*b**2 - 382*b**2 - 385*b**2 - 379*b**2. -7*b**2 Collect the terms in 941 + 836 - 132*x + 135*x + 4067. 3*x + 5844 Collect the terms in 3 - 3 + 7*u**2 + 4984865*u - 9969755*u + 4984890*u. 7*u**2 Collect the terms in -3*c**2 - 19*c**2 - 8*c**2 - 3*c**2 - 11*c**2 - c - 29*c**2. -73*c**2 - c Collect the terms in -233 + 14*t + 237 + 28*t**2 - 37*t + 16*t. 28*t**2 - 7*t + 4 Collect the terms in 657*s - 2299*s - 6*s**2 - 96 + 97. -6*s**2 - 1642*s + 1 Collect the terms in -n - 3*n + 601 - 89*n - 18*n. -111*n + 601 Collect the terms in -1746 + 134*t**2 + 896 + 0*t**2 + 848 - 4*t**3. -4*t**3 + 134*t**2 - 2 Collect the terms in 63723*u + 63736*u - 127445*u + 7*u**2. 7*u**2 + 14*u Collect the terms in -8*z - 47316*z**3 + 49845*z**3 + 8*z. 2529*z**3 Collect the terms in -56*g**3 - 6*g**3 - 36*g - 37*g**3. -99*g**3 - 36*g Collect the terms in -1365*i**2 - 499 + 65 + 434. -1365*i**2 Collect the terms in -14 + 2 + 9 + 2*q + 4 + 0 - 7647*q**2. -7647*q**2 + 2*q + 1 Collect the terms in -150 + 1279*d**3 + 330 + 3*d**2 - 1282*d**3. -3*d**3 + 3*d**2 + 180 Collect the terms in -40 - 236354*l**3 - 236317*l**3 + 40 + 472708*l**3. 37*l**3 Collect the terms in 9 - 3*m**2 - 55 + 48*m**2 + 2. 45*m**2 - 44 Collect the terms in -32484 - 3*l**2 + 5*l**2 - 3*l + 12*l. 2*l**2 + 9*l - 32484 Collect the terms in -3598620*l - 18*l**2 + 3598620*l. -18*l**2 Collect the terms in 0 + 1 - 66561*h**3 + 10 - 4 + 66564*h**3 - 7. 3*h**3 Collect the terms in -2 - 2929845*h + 1 - 4 + 2929078*h + 5. -767*h Collect the terms in 113*n**2 + 173*n**2 + 48*n**2 - n**3 - 574*n**2 + 118*n**2 + 122*n**2. -n**3 Collect the terms in 388*s**3 - 118*s**3 - 115*s**3 - 148*s**3. 7*s**3 Collect the terms in -a**2 - 102*a**2 - 9*a**2 + 34*a + 4 - 34*a - 45*a**2. -157*a**2 + 4 Collect the terms in 11 + 22 + 14 - 12*m + 14 - 59. -12*m + 2 Collect the terms in -2133022937355 + c + 2133022937355. c Collect the terms in 101*v**2 - 1176*v**2 + 1076*v**2 + 328*v. v**2 + 328*v Collect the terms in 97855537*p**2 + 97855530*p**2 - 195711084*p**2. -17*p**2 Collect the terms in -699*c + 2665*c - 1232*c - 732*c. 2*c Collect the terms in 488*z + 274637*z**2 - 499*z - 274634*z**2. 3*z**2 - 11*z Collect the terms in 176*j**3 - 2349*j**3 - 40*j**2 - 25*j**2 + 63*j**2. -2173*j**3 - 2*j**2 Collect the terms in 409*c**3 - 52 + 84 - 70*c - 815*c**3 - 32 + 407*c**3. c**3 - 70*c Collect the terms in 1981 - 1528 - o**3 - 470. -o**3 - 17 Collect the terms in 12378*w**3 + 19 - 7 + 16 - 4. 12378*w**3 + 24 Collect the terms in -413 - 118 + 264 + 27*o - 22*o. 5*o - 267 Collect the terms in -36099 + 36099 - 15409*q. -15409*q Collect the terms in -d**3 + 3*d**2 + 5534*d + 1 + 3 + 16480*d + 0*d**3. -d**3 + 3*d**2 + 22014*d + 4 Collect the terms in -324*t - 336*t + 1034*t - 381*t. -7*t Collect the terms in 0 - 49*y + 14*y - 17 - 17*y + 34*y + 14*y. -4*y - 17 Collect the terms in -212*p**2 + 444*p**2 - 8*p + 257*p**2 - 9. 489*p**2 - 8*p - 9 Collect the terms in 4 + 60*b - 843*b + 780*b - 1. -3*b + 3 Collect the terms in -98*l + 524 - 263 - 265 + 101*l. 3*l - 4 Collect the terms in -15*d**3 - 48*d**3 + 183 + 4*d**2 - 5*d - d - 8*d**3. -71*d**3 + 4*d**2 - 6*d + 183 Collect the terms in -2*j + 11160172*j**2 - 5580086*j**2 + 2*j - 5580083*j**2. 3*j**2 Collect the terms in 767 + 3*d - 1211 - 2*d + 443. d - 1 Collect the terms in -10*k**2 + 21*k**2 + 337*k**3 - 335*k**3 - 9*k**2 - 122*k. 2*k**3 + 2*k**2 - 122*k Collect the terms in 233*p + 517*p - 409*p - 5. 341*p - 5 Collect the terms in 96*u**2 + 0 - 3 - 16 - 5 + 22. 96*u**2 - 2 Collect the terms in 1109130962 - 1109130962 - 386*n + 353*n. -33*n Collect the terms in 556969*t**3 + 1396399*t**3 + 965735*t**3. 2919103*t**3 Collect the terms in 318*d**2 + 394*d**2 + 307*d**2 - 987*d**2. 32*d**2 Collect the terms in -3537*z**2 + 1 + 1 - 3673*z**2 - 202*z + 202*z. -7210*z**2 + 2 Collect the terms in -128*o**2 + 2 - 48*o**2 + 5 - 6 + 30*o**2 + 44*o**2. -102*o**2 + 1 Collect the terms in -119 - 116*j**2 + 39*j - 33*j**2 + 119 + 152*j**2. 3*j**2 + 39*j Collect the terms in -553043 + 276522 - 5540*b**3 + 276521. -5540*b**3 Collect the terms in 3227*m - 3018*m - 3915*m. -3706*m Collect the terms in 30*i**3 + 1589*i**2 + 12*i**3 + 9*i**3 - 13*i**3 - 2*i. 38*i**3 + 1589*i**2 - 2*i Collect the terms in 208 + 1866 - u + 2*u + 0*u - 114. u + 1960 Collect the terms in 5111036 - 5111036 + 30*x**3. 30*x**3 Collect the terms in -2324*a - 3162*a + 6375*a. 889*a Collect the terms in -1666*l**2 + 991*l**2 - 40*l**3 + 675*l**2. -40*l**3 Collect the terms in 6*z - 88 - 88 - z + 266 - 82. 5*z + 8 Collect the terms in 81821*n**2 + 81843*n**2 - 163664*n**2 - 764*n**3. -764*n**3 Collect the terms in 69*s - 50460 + 50460 - 69*s - 808*s**3 + 2308*s**3. 1500*s**3 Collect the terms in 1002*d - 1227*d - 6*d**2 - 6 + 5. -6*d**2 - 225*d - 1 Collect the terms in 82*h - 10*h**3 + 54*h**2 - 3 + 100*h + 97*h - 311*h. -10*h**3 + 54*h**2 - 32*h - 3 Collect the terms in 1551 + 67559*u - 769 - 782. 67559*u Collect the terms in 1242*c - 245*c - 771*c - 236*c. -10*c Collect the terms in 3*f + 3*f**2 - f**2 - f + 89877 + 0*f**2 + 2929. 2*f**2 + 2*f + 92806 Collect the terms in -581*r**2 - 20444*r + 20337*r + 579*r**2. -2*r**2 - 107*r Collect the terms in 4021 - 6897*l**2 - 4021. -6897*l**2 Collect the terms in -15863*c - 14434*c + 30292*c. -5*c Collect the terms in -4 + 30 - 132*q - 12 - 503*q - 10. -635*q + 4 Collect the terms in -7*j + 2377115 - 2377115 - 11*j. -18*j Collect the terms in -13*v + 27 + 31*v - 11*v + 2*v**3 - 11*v - 14*v. 2*v**3 - 18*v + 27 Collect the terms in -2*y - 3*y - 52803799 - 10*y**2 - 18*y**2 + 52803799 + 5*y. -28*y**2 Collect the terms in 187*i**3 - 28426*i**2 + 56920*i**2 - 28494*i**2. 187*i**3 Collect the terms in 349069*p + 764691*p + 56285*p. 1170045*p Collect the terms in 13 + 15 - 45 + 3697*b + 17. 3697*b Collect the terms in -18 + 85 - 296*o**2 - 100*o**2 - 33 - 34. -396*o**2 Collect the terms in -91*t + 32*t + 30*t + 35*t + 16*t + 34*t. 56*t Collect the terms in 52043*r + 635*r**3 - 52043*r. 635*r**3 Collect the terms in 48 - 48*v - 1483*v + 24*v + 18*v. -1489*v + 48 Collect the terms in 144140 + 3*d + 5*d + d - 6*d. 3*d + 144140 Collect the terms in -7519*o**2 + 15092*o**2 - 7586*o**2. -13*o**2 Collect the terms in -535*m**2 - 530*m**2 - 523*m**2 + 3127*m**2 + 1 - 526*m**2 - 530*m**2 - 518*m**2. -35*m**2 + 1 Collect the terms in 19398705128 - 19398705128 - 3*h**2. -3*h**2 Collect the terms in -313196 + 313196 + 592*y**2 + 2*y. 592*y**2 + 2*y Collect the terms in -99171 + 49555 + 49594 - 17*n**2. -17*n**2 - 22 Collect the terms in 929 - 1300 - 609 + 986 + 2*r**3. 2*r**3 + 6 Collect the terms in 6*a**2 + 149 + a**2 - 44*a + 4*a**2 - 149. 11*a**2 - 44*a Collect the terms in -2859418*a**2 - 2859420*a**2 + 14297088*a
{ "pile_set_name": "DM Mathematics" }
Calculate p(-2). 15 Let p(o) = -41*o**3. Calculate p(1). -41 Let u(m) = m**3 - m**2 - 12*m + 27. Give u(3). 9 Let u(h) = h**2 - 765*h + 22742. What is u(31)? -12 Let u(a) = 21*a - 63. Calculate u(2). -21 Let l(z) = 25*z - 1114. Give l(40). -114 Let o(v) = 210*v - 2542. What is o(12)? -22 Let b(t) = -t**3 - 7*t**2 + 4*t + 33. Calculate b(-7). 5 Let s(a) = -2*a**2 - 45*a - 105. Calculate s(-19). 28 Let x(l) = -l**3 + 4*l**2 + 355*l - 27. What is x(-17)? 7 Let c(n) = 7*n - 79. What is c(29)? 124 Let u(w) = -w**3 - 40*w**2 + 6*w - 96. What is u(-40)? -336 Let d(i) = -i**2 + 68*i + 314. Calculate d(74). -130 Let r(n) = n**3 + 181*n**2 - 12979*n + 233. Give r(-236). -3 Let g(t) = 226*t + 2041. Give g(-9). 7 Let y(x) = 32*x - 548. Give y(8). -292 Let d(t) = t**3 - 25*t**2 - 240*t + 456. What is d(32)? -56 Let h(n) = -n**2 - 6167*n - 36975. Give h(-6). -9 Let l(k) = 76*k**2 - 921*k + 41. Calculate l(12). -67 Let t(q) = q**2 + 54*q + 659. Calculate t(-19). -6 Let j(g) = -4*g**2 + 179*g + 122. What is j(45)? 77 Let k(g) = -4*g**3 + 24*g**2 - 23*g. Give k(1). -3 Let u(j) = j**3 - 67*j**2 + 128*j + 93. Give u(65). -37 Let v(s) = -3*s**2 - 54*s + 39. What is v(-21)? -150 Let q(r) = 356*r - 50. Give q(1). 306 Let h(c) = -191*c - 8584. Determine h(-45). 11 Let c(w) = w**3 + 16*w**2 - 16*w - 7. Give c(-17). -24 Let o(s) = s**2 + 136*s - 8373. Determine o(-182). -1 Let y(a) = 10*a**2 + 114*a + 213. Calculate y(-9). -3 Let u(f) = f**3 + 13*f**2 - 40*f + 24. Determine u(-15). 174 Let n(i) = -i**2 - 53*i - 556. Calculate n(-14). -10 Let b(r) = 474*r**3 + r**2 + 2*r - 2. Calculate b(-1). -477 Let b(a) = 13103*a + 39291. Give b(-3). -18 Let m(a) = a**2 + 80*a - 4780. Give m(41). 181 Let u(b) = 4*b**2 + 547*b + 938. Give u(-135). -7 Let p(b) = -b**3 + b**2 - 391*b + 2453. Calculate p(6). -73 Let j(w) = 30*w + 30. Calculate j(3). 120 Let x(b) = -17*b + 97. What is x(11)? -90 Let u(w) = 1875*w + 13117. Calculate u(-7). -8 Let n(k) = -k**3 - 18*k**2 - 8*k - 133. Determine n(-18). 11 Let f(n) = n**3 + 49*n**2 - 105*n - 78. Determine f(-51). 75 Let t(o) = -o**2 - 26*o + 21. Determine t(0). 21 Let p(r) = 2*r**2 - 19*r - 58. Give p(11). -25 Let x(m) = 3*m**2 - 66*m + 28. Determine x(21). -35 Let c(q) = 2*q**3 + 187*q**2 + 273*q - 308. What is c(-92)? -32 Let k(v) = -v**3 - 2*v**2 + 152*v - 622. Calculate k(7). 1 Let s(p) = -5*p**2 - 176*p - 74. Give s(-35). -39 Let w(r) = 2*r**2 + 14*r - 72. Determine w(5). 48 Let t(a) = 2*a**3 + 17*a**2 + 10*a - 70. Calculate t(-8). -86 Let k(a) = 4*a**3 + 14*a**2 - 7*a - 1. Calculate k(2). 73 Let d(w) = w**2 + 122*w - 3471. Give d(25). 204 Let n(u) = 4*u - 25. Give n(-10). -65 Let r(y) = y**2 - 315*y + 8548. Give r(30). -2 Let d(v) = 250*v + 9995. Give d(-40). -5 Let u(r) = -2*r**3 + 9*r**2 - r - 7. Determine u(4). 5 Let o(u) = -2*u**3 - 5*u**2 - u - 179. Calculate o(-5). -49 Let l(n) = 27*n - 1346. Give l(38). -320 Let j(b) = b**3 - 29*b**2 + 204*b - 3303. Give j(26). -27 Let r(c) = -15*c**2 + 274*c - 347. Determine r(17). -24 Let x(j) = -j**2 + 2*j + 15. Determine x(0). 15 Let n(m) = -17*m**2 - 4218*m - 501. Determine n(-248). -5 Let s(l) = 15*l**3 + 4*l**2 - 26*l + 23. Give s(1). 16 Let t(n) = -n**2 + 29*n + 21. Determine t(29). 21 Let h(d) = d**3 + 22*d**2 - 17*d + 152. Give h(-23). 14 Let g(d) = 91*d + 1535. What is g(-17)? -12 Let y(v) = v**2 - 400*v + 8671. Determine y(23). 0 Let i(x) = -96*x**2 + 10*x + 9. Determine i(-1). -97 Let s(v) = -168*v + 6052. Determine s(36). 4 Let f(n) = n**3 + 39*n**2 + 34*n - 25. Determine f(-38). 127 Let v(s) = 2*s**2 - 140*s + 135. Determine v(69). -3 Let g(j) = 4*j + 137. What is g(-31)? 13 Let l(r) = 3*r**2 - 283*r - 2818. What is l(-9)? -28 Let y(j) = -80*j - 159. Determine y(-3). 81 Let m(b) = 303*b - 8167. Determine m(27). 14 Let v(o) = 1037*o - 5173. Determine v(5). 12 Let p(m) = -11*m - 176. Give p(-36). 220 Let y(u) = -u**3 - 10*u**2 - 6*u + 33. Give y(2). -27 Let v(x) = -x**3 - x**2 + 28*x - 15. Calculate v(-6). -3 Let d(g) = -g**2 + 54*g + 191. Give d(-4). -41 Let w(z) = -56*z - 1445. Determine w(-26). 11 Let i(r) = -r**3 - 41*r**2 - 33*r + 118. Determine i(-40). -162 Let i(p) = 22*p**3 - 7*p**2 - 13*p - 13. Give i(-2). -191 Let n(c) = 11*c**2 - 2152*c + 1370. Give n(195). 5 Let w(g) = -2*g**2 - 69*g + 244. Calculate w(-38). -22 Let u(x) = -x**2 - 56*x - 264. Give u(-50). 36 Let s(n) = -12*n**2 + 70*n - 20. Give s(10). -520 Let h(j) = 62*j + 152. Calculate h(-6). -220 Let c(r) = -505*r - 2530. Give c(-5). -5 Let k(j) = 92*j + 96. What is k(-1)? 4 Let x(b) = -2*b**2 - 239*b - 4977. Give x(-27). 18 Let y(c) = c**3 - 31*c**2 + 54*c + 91. Determine y(29). -25 Let o(h) = 5*h**2 - 326*h - 1652. Determine o(-5). 103 Let c(u) = u**3 - 2*u**2 - 90*u + 331. What is c(4)? 3 Let z(f) = -14*f**2 - 28*f. Calculate z(-1). 14 Let n(s) = -426*s - 2127. Determine n(-5). 3 Let x(s) = 14*s + 1260. Calculate x(-18). 1008 Let l(i) = -i**3 - 61*i**2 + 129*i + 183. What is l(-63)? -6 Let d(x) = 10*x**2 - 84*x - 13. Give d(7). -111 Let g(a) = 47*a + 56. Determine g(-2). -38 Let f(p) = p**3 + 23*p**2 + 45*p + 15. What is f(-21)? -48 Let a(w) = w**3 + 3*w**2 - 71*w - 318. What is a(-5)? -13 Let l(s) = -24*s**2 + 464*s - 1971. Give l(13). 5 Let b(p) = 10*p - 289. What is b(30)? 11 Let c(q) = 3*q**3 - 102*q**2 + 57*q + 1377. Give c(33). -9 Let b(u) = -u**3 - 93*u**2 + 11*u + 458. Calculate b(-93). -565 Let f(c) = 4*c**3 + 3*c**2 - 2*c + 10. Calculate f(4). 306 Let r(n) = -n**2 - 33*n - 336. What is r(-22)? -94 Let o(q) = 64*q - 7856. Give o(122). -48 Let b(f) = -f**2 + 8428*f - 100980. Calculate b(12). 12 Let b(x) = -1524*x + 22881. Determine b(15). 21 Let b(h) = h**3 + 3*h**2 + 7*h + 11. What is b(-2)? 1 Let l(t) = t**3 - 13*t**2 - 37*t + 59. Determine l(15). -46 Let s(f) = -6067*f - 5. Determine s(0). -5 Let y(q) = -19*q**3 + 26*q**2 + 27*q - 1. What is y(2)? 5 Let a(m) = -21*m + 19. Determine a(11). -212 Let y(r) = -2*r - 147. Give y(15). -177 Let p(q) = 41*q - 1720. Calculate p(42). 2 Let l(m) = 91*m + 6883. Calculate l(-82). -579 Let a(n) = n**2 - 80*n + 1517. Calculate a(56). 173 Let p(s) = 12*s**2 - 153*s + 484. What is p(7)? 1 Let h(q) = -97*q**2 + 1940*q - 8. Calculate h(20). -8 Let z(x) = 21*x**2 + 36*x + 192. Calculate z(-5). 537 Let c(q) = -2*q**2 - 261*q + 797. Determine c(3). -4 Let j(f) = -295*f - 889. Calculate j(-4). 291 Let o(z) = 19*z**2 + 20*z - 20. Determine o(1). 19 Let v(u) = 3*u**2 + 182*u + 1160. Calculate v(-7). 33 Let a(n) = -n**3 + 38*n**2 + 208*n - 12. What is a(-5)? 23 Let o(z) = 38*z**3 - 2*z**2 - 8*z - 7. Calculate o(-1). -39 Let i(s) = -4*s**3 - 53*s**2 + 52*s + 46. Give i(-14). -94 Let x(a) = -a**2 + 85*a + 456. Give x(90). 6 Let n(t) = 710*t - 4966. Determine n(7). 4 Let n(g) = -g**2 + 405*g + 14448. Calculate n(-33). -6 Let u(a) = 2007*a + 5883. Calculate u(-3). -138 Let t(z) = 200*z + 4278. Determine t(-22). -122 Let b(k) = -1111*k + 1911. Give b(2). -311 Let v(c) = c**3 + 37*c**2 + 45*c + 323. Determine v(-36). -1 Let w(a) = -a**3 - 7*a**2 - 4*a + 13. What is w(-6)? 1 Let u(b) = -b**3 - 50*b**2 - 67*b - 900. Calculate u(-49). -18 Let w(b) = -b**3 - 10*b**2 - 65*b - 104. What is w(-2)? -6 Let h(u) = u**2 + 20*u - 44. What is h(-23)? 25 Let j(w) = -6*w**2 - 3*w + 27. What is j(6)? -207 Let q(c) = c**2 + 171*c - 4468. Give q(23). -6 Let h(j) = -j**3 - j**2 + 7*j + 17. Determine h(0). 17 Let v(r) = 11*r**2 - 37*r - 19. What is v(4)? 9 Let j(w) = 24*w + 917. Give j(-38). 5 Let x(g) = 21*g**2 - 138*g + 218. Determine x(3). -7 Let f(b) = 49*b + 5. What is f(-2)? -93 Let j(b) = 1110*b - 43293. Calculate j(39). -3 Let i(r) = -r**3 - 43*r**2 - 84*r - 92. Determine i(-41). -10 Let i(p) = -242*p - 921. Determine i(-5). 289 Let f(r) = 3*r**3 - 9*r**2 + 8*r - 7. Determine f(3). 17 Let f(w) = 2144*w + 8569. Determine f(-4). -7 Let t(j) = j - 70. Determine t(8). -62 Let y(n) = 72*n**2 - 2238*n + 179. What is y(31)? -7 Let p(d) = 7*d**3 - 33*d**2 - 49*d - 16. Determine p(6). 14 Let a(f) = f**2 + 3*f - 91. Give a(-11). -3 Let j(t) = 41*t + 151. Calculate j(6). 397 Let y(n) = -28*n + 79. Calculate y(3). -5 Let c(q) = 8*q**2 + 84*q + 113. Give c(-10). 73 Let x(d) = -d**3 + 22*d**2 - d + 27. Determine x(22). 5 Let p(z) = -3*z**2 - 100*z - 485. Calculate p(-29). -108 Let n(c) = 8*c**2 - 398*c + 1
{ "pile_set_name": "DM Mathematics" }
hat is j(l(r))? -98*r**2 Let o(d) = 4*d**2. Let k(p) be the third derivative of -11*p**7/2520 - p**5/30 + p**4/12 - p**2 - 27. Let g(i) be the third derivative of k(i). What is o(g(a))? 1936*a**2 Let f(k) be the first derivative of 0*k - 34 - 21/2*k**2. Let o(r) be the second derivative of -r**4/12 + 2*r. Calculate f(o(l)). 21*l**2 Let v(r) = 27870886*r. Let p(c) = 2*c. What is p(v(y))? 55741772*y Let b(s) = 3*s**2. Let w(h) = 3784872*h - 9. What is w(b(l))? 11354616*l**2 - 9 Let r(y) = 26*y**2. Let m(p) = -6044158*p. What is r(m(h))? 949827994153064*h**2 Let r(w) = 6600012*w**2. Let d(s) = 2*s**2. Calculate d(r(t)). 87120316800288*t**4 Let m(v) be the second derivative of 17*v**3/3 + 37*v - 3. Let w(b) be the first derivative of b**3/3 + 252. What is w(m(q))? 1156*q**2 Let y(c) = -66*c - 28865. Let b(u) = -u. Determine y(b(d)). 66*d - 28865 Let d(h) be the third derivative of 5*h**4/24 + 7*h**2. Let c(v) = -133*v**2. Determine d(c(u)). -665*u**2 Let j(f) = -f + 729611 - 729611. Let u(n) = 1 - 261*n**2 + 256*n**2 - 1. Determine j(u(o)). 5*o**2 Let n(c) = -6*c - 12. Let p(b) = -3*b - 5. Let g(v) = 5*n(v) - 12*p(v). Let q(j) = -84*j. Give q(g(h)). -504*h Let k(n) = 75*n**2 - 5*n. Let y(q) = q + 6 - 17 + 598*q**2 - 40*q + 11. Let j(z) = 39*k(z) - 5*y(z). Let v(r) = -3*r**2. Give v(j(d)). -12675*d**4 Let o(l) be the third derivative of l**5/30 - 925*l**3/6 + 2900*l**2. Let x(b) = 3*b. Give o(x(t)). 18*t**2 - 925 Suppose 14 = 5*h - a, 0*h - 3*h + 4*a + 22 = 0. Let x(j) = 2*j**2 - 20 - 5*j**h + 10 + 12. Let k(i) = -17*i + 27*i - 10*i - 2*i**2. What is x(k(w))? -12*w**4 + 2 Let k be (-1)/2 - (-117)/18. Let g(j) = 2*j - 16*j + k*j + 7*j. Let p(s) = 31*s**2. Calculate g(p(r)). -31*r**2 Let f(v) = -10*v**2 - 3*v + 11*v**2 + 3*v. Let i(l) = 7*l + 1. Let o(x) = -117*x + 4. Let m(g) = -4*i(g) + o(g). What is m(f(q))? -145*q**2 Let j(o) = 14*o - 6. Let f(c) = 13*c - 5. Let k(d) = 6*f(d) - 5*j(d). Suppose 51 = 7*z - 40. Let n(i) = -11*i - z*i + 21*i. Give k(n(t)). -24*t Let f(c) = -27*c. Let m = 1689 + -1689. Let j(r) be the first derivative of m*r**2 + 0*r + 1/3*r**3 - 12. What is f(j(x))? -27*x**2 Let k(y) = -y**2 - 68*y - 1. Let t(w) = -7*w**2 - 68*w - 1. Let h(p) = -5*k(p) + 5*t(p). Let l(a) be the third derivative of -a**5/30 - a**2. Calculate h(l(q)). -120*q**4 Let s(q) = 2*q. Let n(h) = 11*h**2 - 10*h + 172. Let g(z) = z**2 - z + 3. Let y(r) = 10*g(r) - n(r). What is s(y(a))? -2*a**2 - 284 Let x(d) be the first derivative of -d**2/2 + 5190. Let g(u) = 213*u**2 - 5. Let h(y) = 142*y**2 - 3. Let r(f) = 5*g(f) - 8*h(f). Calculate r(x(i)). -71*i**2 - 1 Let n(x) be the third derivative of 4*x**5/15 - 2*x**2. Let m(d) be the first derivative of 8*d**3/3 - 63772. Give m(n(v)). 2048*v**4 Let a(h) = 7*h. Let c(m) = 2126*m**2 - 98*m - 7. Let x(v) = -107008*v**2 + 4928*v + 352. Let z(p) = 352*c(p) + 7*x(p). Calculate a(z(y)). -4928*y**2 Let k(p) = 3329*p**2. Let n(u) = 42779*u. Give n(k(q)). 142411291*q**2 Let f(s) = s**2. Let x(l) be the first derivative of 49*l**2/2 - 4*l - 122. Let h(m) = 3526*m - 287. Let q(o) = 4*h(o) - 287*x(o). Give q(f(n)). 41*n**2 Let l(m) = -234*m + 467*m - 233*m - 10*m**2. Let s(t) be the first derivative of -6*t**2 - 5. Determine s(l(g)). 120*g**2 Let p(r) = 9*r**2 + r - 20. Let i(k) = 8684*k + 2. Calculate p(i(y)). 678706704*y**2 + 321308*y + 18 Let r(v) be the first derivative of v**4/12 + 151*v + 47. Let o(a) be the first derivative of r(a). Let k(q) = -116*q**2 + q. What is k(o(p))? -116*p**4 + p**2 Let u(a) = 2*a**2. Let g(n) = -280*n - 3705. Let w(z) = 51*z + 741. Let f(x) = 2*g(x) + 11*w(x). What is f(u(p))? 2*p**2 + 741 Let b(a) = a**2. Let d = 212 + -210. Let k(u) = 1 - 17*u**2 - 3*u**d - 11*u**2. What is b(k(s))? 961*s**4 - 62*s**2 + 1 Let j(p) be the first derivative of -2*p**3/3 + 15. Let x(m) = 3*m + 8. Let o(l) = 6*l + 18. Let w(q) = -4*o(q) + 9*x(q). Calculate w(j(d)). -6*d**2 Let p(u) = -56*u**2 + 34*u + 20868. Let b(q) = 4*q**2. Give p(b(m)). -896*m**4 + 136*m**2 + 20868 Let s(j) = 3*j. Let p(a) = 717*a**2 + 1467*a + 1. Give s(p(x)). 2151*x**2 + 4401*x + 3 Let r(u) = -25*u**2. Let g(z) = 10*z - 2*z - 2*z + 16 + 5*z**2 + z. Let h be g(-5). Let c(s) = -106 + h + 2*s. What is r(c(j))? -100*j**2 Let j(d) = 356*d - 179*d - 175*d. Let n(u) = -15 + 8 - 30*u**2 + 7. Determine n(j(i)). -120*i**2 Let c(b) = 341*b**2 + 6688. Let m(n) = -2*n**2. What is c(m(r))? 1364*r**4 + 6688 Let j(w) = 3101807*w. Let y(v) = -3*v. Give j(y(q)). -9305421*q Let l(a) = -7*a - 6*a - 7*a + 20*a - 3*a. Let p(b) = b. Let z(u) = u. Let t(n) = 6*p(n) - 5*z(n). Calculate t(l(c)). -3*c Let x(n) = 573*n**2 - 8. Let j(v) = 1147*v**2 - 18. Let b(s) = 4*j(s) - 9*x(s). Let l(u) = -75*u + u**2 + 75*u. What is l(b(g))? 323761*g**4 Let f(a) = 121*a - 118*a - 99*a - 95*a - 333*a. Let i(j) = j**2. Calculate i(f(y)). 274576*y**2 Let z(r) = 8*r. Let o(j) = -11 + 9 - 7592*j + 7597*j. Give o(z(l)). 40*l - 2 Let y(u) be the third derivative of -u**5/60 + 1601*u**4/12 + 2246*u**2. Let g(m) = 2*m. What is y(g(p))? -4*p**2 + 6404*p Let y(f) = 562*f. Let r(j) = 268*j**2 + 332*j. Give r(y(m)). 84646192*m**2 + 186584*m Let w(s) = 11*s. Let r be (2/5)/(6/(-60)). Let j(i) = -5*i**3 - 3*i**2 - 4*i - 5. Let o be j(r). Let c(x) = 141*x + 140*x - o*x. Give c(w(l)). -22*l Let g(v) = 551*v**2 + 562*v**2 + 0 - 1112*v**2 + 0. Let m(s) = -2*s + 105. Give m(g(y)). -2*y**2 + 105 Let n(y) = -303*y**2. Let s(k) = 3420 - 3420 + k**2. Calculate s(n(u)). 91809*u**4 Let o(x) be the third derivative of -431*x**4/12 + x**2 + 551. Let t(a) = 5*a**2. Calculate o(t(r)). -4310*r**2 Let a(r) be the second derivative of r**4/4 - 57*r - 4. Let o(p) = -516*p**2. Give o(a(h)). -4644*h**4 Let q(i) = 152795*i. Let v(k) = -4*k + 19. Give v(q(g)). -611180*g + 19 Suppose -6*m + 252 = 12*m. Let s(g) = -7*g + 6*g + 5*g + m*g. Let k(q) = -1 + 1 - 3*q. Calculate k(s(v)). -54*v Let x(l) be the second derivative of -l**7/2520 - 79*l**4/12 - l + 16. Let w(p) be the third derivative of x(p). Let g(n) = -21*n**2. Determine g(w(j)). -21*j**4 Let f(c) = -103*c + 4 - 6 + 102*c + 2. Let a(r) = -14777*r. Calculate a(f(p)). 14777*p Let l(g) = -3*g**2. Let y = -32 + 62. Suppose 2*p - y = -2*z, -p + 27 = -2*z - z. Let v(d) = 18 - p - 2*d. Calculate l(v(w)). -12*w**2 Let v(n) = -36*n + 2. Let y(z) = -556*z + 31. Let m(g) = 31*v(g) - 2*y(g). Let d(o) = 5*o**2 + 13. What is d(m(c))? 80*c**2 + 13 Let n(b) = 2*b**2 + 12. Let j(u) = -22*u + 23. Let v be j(1). Let h(w) = 2. Let c(o) = v*n(o) - 6*h(o). Let z(x) = 114*x**2. Calculate c(z(t)). 25992*t**4 Let p(w) = 63*w. Let i be (-2)/10 + (-80)/100. Let s(v) = -2*v - 2. Let z(u) = 11*u + 12. Let m(c) = i*z(c) - 6*s(c). What is p(m(n))? 63*n Let u(j) = -30*j. Let f(v) = -2*v - 5037. What is u(f(o))? 60*o + 151110 Let t(u) be the first derivative of -u**2 - 2*u - 57. Let k(s) = -2*s - 3. Let q(m) = -2*k(m) + 3*t(m). Let h(z) = -11*z - 3. Calculate q(h(d)). 22*d + 6 Let q(f) be the third derivative of 0 - 1/12*f**5 + 0*f**3 - 117*f**2 + 0*f**4 + 0*f. Let v(y) = 2*y**2 - 57*y. What is v(q(c))? 50*c**4 + 285*c**2 Let x(o) = -5*o - 3. Let f(j) = 6*j + 4. Let p(t) = -3*f(t) - 4*x(t). Let s(h) be the second derivative of h**3/2 + 7*h**2/2 + 367*h - 5. Calculate s(p(l)). 6*l + 7 Suppose 5*v = 15 - 5. Let s(m) = m**v + 6*m**2 - 5*m**2. Let z(u) be the first derivative of 11*u**3/3 - 257. Determine z(s(g)). 44*g**4 Let b(w) = 5352183*w. Let d(a) = -2*a. Calculate b(d(y)). -10704366*y Let i(q) = -11*q. Let d(h) = -38*h**2 + 40*h**2 - 57*h**2 - 97*h**2 - 10*h**2. Calculate i(d(f)). 1782*f**2 Let a(k) be the second derivative of 2*k**3/3 + 305*k + 1. Let q(d) = 358*d. Calculate q(a(v)). 1432*v Let u(w) = 6337042*w**2. Let h(a) = 2*a**2. Calculate u(h(j)). 25348168*j**4 Let j(s) = -23*s - 1. Let b(w) = 9*w - 2. Let v(m) = 5*b(m) + 2*j(m). Let z(o) = 7*o. What is v(z(y))? -7*y - 12 Let s(x) = -2314*x**2 + 2*x - 1. Let f(g) = 17*g. Give f(s(k)). -39338*k**2 + 34*k - 17 Let m(c) = -625*c. Let s(j) = 50*j. Let b(z) = -13*z. Let v(r) = 4*b(r) + s(r). What is v(m(u))? 1250*u Let l(q) be the first derivative of 0*q**2 + 85/3*q**3 + 0*q - 212. Let z(n) = -3*n**2. What is l(z(y))? 765*y**4 Let r(v) be the first derivative of -231 + 83/3*v**3 + 0*v**2 + 2*v. Let f(p) = 2*p**2. What is f(r(t))? 13778*t**
{ "pile_set_name": "DM Mathematics" }
3. Let q(w) = 2*w - 2. Let l be q(3). Suppose -2*i + 5*k = -v*i + 10, 2*k = l. Solve i = 3*s - 2*s - 2 for s. 2 Suppose 2*s + s = 15. Suppose y = 0, -s = -2*n + y - 3. Suppose -q - 4*q + 10 = 0. Solve n = m - q for m. 3 Let n(w) = w**3 + w**2 + w + 4. Let m be n(0). Let y(r) = -r**2 - 7*r + 9. Let k be y(-6). Solve -k = m*z + 5 for z. -5 Let l(v) = v**2 + 5*v - 1. Let x be l(-4). Let j be (-6)/x*(-10)/(-4). Suppose -j*p + 2*p = 4*d, -2*p - 4 = 4*d. Solve 3 = q - d for q. 4 Let p(q) = -q**2 - 6*q + 1. Let s be p(-7). Let v = -4 - s. Let j be v/8 + 38/8. Solve -k + 4 = -j*k for k. -1 Let w be ((-2)/5)/(10/(-50)). Solve 0 = w*k + k + 3 for k. -1 Let z be 3/(-1 + 2) + -3. Suppose 3*f - 3 - 9 = z. Solve -f = -3*g + 11 for g. 5 Suppose -4*v + 30 = -v. Let b = 12 + -9. Solve -p + b*p + v = 0 for p. -5 Let t be ((-18)/30)/(2/(-30)). Let z(h) = -h**2 + 8*h + 13. Let o be z(t). Suppose 4*q = 12 - o. Solve -v + q = -0*v for v. 2 Suppose 0 = -5*u + 5*w + 65, u - 2*w + 5*w - 9 = 0. Solve -2*i + u = 2 for i. 5 Suppose 3*l - 2*l = 2*l. Solve -2*g = -l*g - 6 for g. 3 Suppose 8 = -6*u + 2*u. Let t(c) = 3*c**2 + 4*c + 2. Let i be t(u). Solve -i*m - 6 = -3*m for m. -2 Let p be 13/4 + 2/(-8). Let d be (2 - 3)*(-1 + p). Let i be d + (2 - (-3 - -1)). Solve 3*r - 3 = i*r for r. 3 Let b = 24 - 21. Suppose 3*r + 4 = -5*f - 6, -5*r + b*f + 6 = 0. Solve r = i - 4*i + 3 for i. 1 Let i = 8 + 1. Let j be 3*(-3)/((-18)/4). Suppose 4 = 4*r, j*k - 4 + 1 = 3*r. Solve -k*y = -0*y - i for y. 3 Suppose 19*l - 16*l = 9. Solve 0 = y - l*y for y. 0 Suppose 2*o + o - 5*k = 12, -5*o + 20 = -5*k. Suppose o*t = -t + 5. Solve t = -3*d + 4 for d. 1 Let g(q) be the first derivative of q**3/3 - 5*q**2/2 - 11*q - 6. Let c be g(7). Solve 13 = -c*x + 1 for x. -4 Let c = 3 - -3. Solve 0 = -c*w + 3*w for w. 0 Let o(c) = c**3 + 10*c**2 - 9*c + 2. Let d be o(-11). Let a(l) = 4*l + 6. Let j be a(-5). Let y = j - d. Solve -y = -5*u + 4 for u. 2 Suppose 5*m - 2*q = 27, 4*q = 2*m + 2*q - 12. Solve m*j = 9*j + 16 for j. -4 Let y be 1/(-1) + -3 + 4. Solve y = l - 2 for l. 2 Suppose 4*k - 140 = -4*r, k - 4*r - 52 = -k. Let i be (10/4)/(4/k). Solve -3*n = 2*n + i for n. -4 Suppose 0 = -x - 2, 4*t - 10 = 4*x - 5*x. Solve t*p = -7 + 22 for p. 5 Let a(d) = -d**3 + 4*d**2 + 3*d + 12. Let f be a(5). Solve -12 = -f*q - 6 for q. 3 Let z = 14 - 13. Solve q + 0*q - z = 0 for q. 1 Let d be (1 - 4)/((-9)/15). Suppose d*b = -2*k + 28, 0*b = 4*k - 4*b. Solve -k*j + 6*j = 0 for j. 0 Let q(k) = -k**3 - 2*k**2 - k + 1. Let o be q(-2). Suppose o*g + 6 + 9 = 0. Let a = -2 - g. Solve 11 = 4*l + a for l. 2 Let y = 2 + 0. Solve 3*d + 5 = -y*d for d. -1 Suppose 52 = 5*n + 17. Let o(u) = -4*u - 24. Let h be o(-7). Solve -n = c - h for c. -3 Let o = 0 - -20. Let f = o + -5. Let n = 124 + -118. Solve -n*y = -y + f for y. -3 Let j be 8/3*15/2. Solve 0 = r + 3*r - j for r. 5 Suppose 3*g + 7 = 22. Let x = 320 - 317. Suppose 15 = 3*u + l, u - 5*l + 27 = 4*u. Solve -g*o + x*o = -u for o. 2 Suppose 2 - 20 = 3*b. Suppose -5*y + 18 = -8*y. Let u = y - b. Solve u + 2 = 2*j for j. 1 Let v(g) = -2*g. Let x be v(-2). Solve -p + x = -2*p for p. -4 Let j = 30 - 16. Solve -6 = 5*t + j for t. -4 Let j = 0 - -2. Solve 12 = v + j*v for v. 4 Let y(h) = -3*h - 2*h + 1 + 4*h. Let b(n) = -2*n + 3. Let w(l) = 2*b(l) - 5*y(l). Let x be w(-1). Solve 3*g = -x*g + 6 for g. 2 Let y(v) = -4*v - 12. Let r be y(-8). Suppose r = -3*t + 7*t. Solve 11 + 4 = -t*f for f. -3 Suppose -5*z + 5*u = -5, 3*z + 5*u - 11 + 0 = 0. Suppose -z = -s - 0*b - 5*b, -2*s - b + 4 = 0. Solve 3*i = -s*i for i. 0 Let v(c) = -c**2 + 6*c - 2. Suppose 18 = 4*m - 22. Let q be (-6)/m - 28/(-5). Let f be v(q). Solve b - 2 = f for b. 5 Suppose -5*a + 7 = -3. Solve 2*r + a = 3*r for r. 2 Suppose -5*y = 5*p - 20, 4*y - 20 = -y + p. Solve k + y = -0*k for k. -4 Suppose -5*c = 7*c - 36. Solve f + 1 = c for f. 2 Let r = 24 + -22. Solve r*p = -3*p for p. 0 Let s = -7 - -11. Solve 0*t = -2*t + s for t. 2 Let u be 2/(24/9 - 2). Solve -8*y - u = -7*y for y. -3 Suppose 2*t + 12 = 2*v, -6*t = 5*v - t - 70. Suppose -7*b = -3*b. Let y = 12 + -6. Solve g - y*g + v = b for g. 2 Let b be ((-80)/(-30))/(2/3). Solve b - 3 = g for g. 1 Suppose 0 = 2*w + 4*r - 12, 2*w - 5*w = -2*r - 2. Let o(z) = -z**2 - z - 3. Let c be o(-3). Let l = -6 - c. Solve -p + w = -l for p. 5 Let h(d) = -d**2 - 6*d - 1. Let t be h(-5). Let n = -1 - -4. Suppose -n*u = u. Solve t*c = 16 - u for c. 4 Suppose 0 = 3*z - 2 - 22. Solve 2*v + z = 4*v for v. 4 Let b(i) = 2 + 3*i**3 + 3*i**3 + 4*i - 3*i**2 - 4*i**3 - 3*i**3. Let v be b(-4). Solve -a = v - 5 for a. 3 Let a(p) = -p**2 + 7*p + 4. Suppose c = -i + 6, -3*c - 3 + 0 = 0. Let r be a(i). Solve 0 = -r*t - 4 - 4 for t. -2 Let h = 33 + -33. Solve l + 2 + 2 = h for l. -4 Let c(v) = v**2 - 10*v + 4. Let p be c(11). Let d = p - 10. Let n = 0 + 2. Solve -3*a - d = n*a for a. -1 Let z be 3/9*2*3. Suppose -z*a - 2*a + 4*o = 28, 3*o = 15. Let k be ((-6)/(-3) + a)/1. Solve k = 2*y - 0*y + 10 for y. -5 Suppose -5*z + 10*z - 5*g - 5 = 0, 0 = -z - g + 1. Solve -3*s - 14 = z for s. -5 Suppose -5*c - 38 = -13. Let p(w) = 6*w**2 - w - 7. Let u(h) = -5*h**2 + h + 6. Let s(f) = c*u(f) - 4*p(f). Let o be s(3). Solve -12 = -z + o*z for z. -4 Let z(t) = -t + 3. Let o be z(0). Suppose o*w - 6 = 6. Suppose 101 = 5*l + r, 0 = -w*l + 3*r - r + 78. Solve -4*n = n - l for n. 4 Suppose 0 = 3*r - 5*r + 10. Suppose 44 = -r*q + 144. Solve -z - 3*z = q for z. -5 Suppose 0 = 5*v - 4*v. Let a(f) = -f**2 - 7*f - 9. Let k be a(-6). Let g = v - k. Solve -d = g*d - 20 for d. 5 Let z(t) = t + 3*t**3 + 0 - 2 - 2*t**3. Let n be z(3). Let u be n/6 - 6/9. Solve -1 + 9 = u*g for g. 2 Suppose -4*h + b - 59 = 0, 2*b - 39 - 23 = 4*h. Let a = 4 - h. Suppose 4*w - 36 = -4*u, 4*u + 2*w = 12 + 16. Solve -a = u*i - 3 for i. -3 Suppose -28 = f + 2*t, 3*t - 6*t - 6 = 0. Let z = -16 - f. Let g(p) = -p + 18. Let m be g(z). Solve m = a + 4*a for a. 2 Let a be 42/12 - 3 - (-30)/4. Suppose 3*p - 8 = -2. Suppose p*r = k - a, 2*k + 20 = 3*k - 5*r. Solve -d = -k*d for d. 0 Let f = 5 - 5. Solve f = -2*s - s for s. 0 Let y = 26 - 18. Suppose 5*p - 2 = -2*u + u, -y = 2*p - 4*u. Solve -3*i = -p*i - 9 for i. 3 Let s(f) = -f**2 - 6*f + 3*f + 2 + 0*f**2. Let a be s(-3). Solve 3 = a*q - 3 for q. 3 Suppose 3*y + 3*h = 15, 0*h + 3*h = -2*y + 7. Suppose -z = z - y. Solve 3*l + z = l for l. -2 Suppose -14 = -4*n + 18. Suppose 2*p = 6*p - 16. Let f = 6 - p. Solve -f*k = 2*k - n for k. 2 Suppose 12 = -2*m + 12. Solve 2*s - 6*s - 12 = m for s. -3 Let h be (-1)/(((-21)/12)/7). Let j be h*3*(-8)/(-6). Let d = 0 + 2. Solve -j = 2*s + d*s for s. -4 Let w be 1/(-2)*(6 + -6). Solve w*c = c for c. 0 Suppose i + 0*i + 6 = -2*z, -2*i + 3*z + 23 = 0. Let d = i + -5. Let v be (3 + -5)*(d + -1). Solve v = 2*u - u for u. 4 Let x be 3*-6*(-1)/9. Solve 2*d = d + x for d. 2 Let u be -1*15 + 3 + -2. Let y be (-66)/u + (-4)/(-14). Solve 0 = -2*n + n + y for n. 5 Suppose -2*s - 9 = -3*s - 4*z, z = 3*s - 14. Solve -3*d - 8 = -s*d for d. 4 Let b(a) = 6*a**3 + a**2 + a + 1. Let r be b(2). Suppose -l = 2*y + 21, 5*l + 5*y = -r - 25. Let q = 15 + l. Solve 7*w - 3*w + q = 0 for w. -1 Suppose 2*u - 12 = 3*i, 0*i + u - 3 = i. Let a be i/9 + 22/6. Let c be (1/(-1) + -6)/(-1). Solve -c = -a*v + 2 for v. 3 Let j be (-2)/8 - (-9)/4. Let y be 23/4 + (-1)/(-4). Let h(a) = a**3 - 5*a**2 - 7*a + 9. Let k be h(y). Solve -k*n = -j*n for n. 0 Let c be (16/(-14))/4 + (-46)/(-14). Let a = -4 - -4. Suppose 0 = 4*u - a*u. Solve 15 = -c*o - u*o for o. -5 Suppose -2*x = -x - 5. Solve -3*i = -2*i + x for i. -5 Suppose 0 = 4*j - 4 - 0, -5*h = 5*j - 25. Suppose 0 = -3*u - z + 28, 0*u = -5*u + h*z + 58. Let w be u/(-4)*2*-4. Solve -w = -5*x + x for x. 5 Suppose 9*f = 2*f + 28. Solve -12 = -f*v + 4 for v. 4 Let v be ((-4)/(-1))/(2 - 0). Suppose -3*r - 5 = -5*k + 14, v*r + 21 = 5*k. Solve -s - 4*s = k for s. -1 Let q = 0 - -2. Suppose -q*b = -3*f + 2*b + 28, -4*f = -3*b - 28. Solve 0*g - 16 = f*g for g. -4 Let n = 0 + 10. Solve -n + 25 = -5*g for g. -3 Suppose 15*i - 9*i = 6. Solve 3*c - 8 = i for c. 3 Let w(z) = -z + 6. Let b be w(5). Let o be ((-2)/2)/(b/(-3)). Solve -3*j = -o - 0 for j. 1 Let f(j) = j**3 + 2*j**2 - 4*j. Suppose 0 = -2*w + 5*r + 14, r - 2 = -3*w + 5*w. Let h be f(w). Solve -2 = -o - h fo
{ "pile_set_name": "DM Mathematics" }
d derivative of 118*n**2*q**2 + 4*n**2 - 629*n*q + 26209*q**2 + 387*q wrt q. 236*n**2 + 52418 Find the second derivative of 7413670*a**3*k**2 + 230*a**3*k - 2*a**2 - 52*a*k - 8*a wrt k. 14827340*a**3 What is the derivative of 17948207*j**4 + 18374095? 71792828*j**3 Find the first derivative of 28070*u**4 - 138*u**2 - 16357574 wrt u. 112280*u**3 - 276*u Find the third derivative of 149406*p**6 - 22*p**5 + p**2 - 140246*p + 3 wrt p. 17928720*p**3 - 1320*p**2 What is the second derivative of 1770061*i**3 - 4*i**2 + 14400942*i? 10620366*i - 8 What is the third derivative of -225280089*y**4 + 140047337*y**2 - 2 wrt y? -5406722136*y What is the third derivative of 35794*d**3*f**3*g - 3*d**3*f*g - 26*d**3 + 330*d**2*f**3*g + 29*d*f**3*g + 76*d*f**3 wrt d? 214764*f**3*g - 18*f*g - 156 Find the third derivative of -509*r**4*u**3 - 105706*r**3*u - 33*r**2*u**3 - 3195266*r**2*u**2 - 2*r**2 wrt r. -12216*r*u**3 - 634236*u What is the third derivative of -1567*q**4 + 2136*q**3 + 917228*q**2 + 4*q wrt q? -37608*q + 12816 Find the first derivative of d*v**3 - 16290186*d*v + 9184216*d wrt v. 3*d*v**2 - 16290186*d What is the third derivative of -3*g**2*y**3 + 3*g**2*y**2 - 3380*g**2 - 2*g*y**2 + 66*g*y - 1065797*y**3 - 2*y**2 wrt y? -18*g**2 - 6394782 Find the first derivative of 7*c**2*r + 3446*c**2 - 2*c - 224760*r**2 + 158 wrt r. 7*c**2 - 449520*r Find the third derivative of -5516526*h*y**3 + 381*h - y**3 + 3157*y**2 wrt y. -33099156*h - 6 Find the second derivative of 117708*v**5 + 48*v**4 - 4010904*v. 2354160*v**3 + 576*v**2 Find the second derivative of 128071495*c**4 - 4*c**2 - 679520*c - 825. 1536857940*c**2 - 8 Find the third derivative of 13931329*d**3 + 9944066*d**2. 83587974 What is the second derivative of -222706416*k**4 + 321024285*k? -2672476992*k**2 Find the second derivative of 265*b**2*z - 15936*b**2 - b*z + 93357*b - 16*z wrt b. 530*z - 31872 What is the second derivative of -19846839*s**3 + 7449032*s wrt s? -119081034*s What is the third derivative of -110927435*l**3 + 78068333*l**2? -665564610 Find the third derivative of -34*h**5 + 506158*h**3 - 203270239*h**2 wrt h. -2040*h**2 + 3036948 Find the third derivative of -4073*s**5 - 90*s**4 + 3*s**2 - 1097839*s. -244380*s**2 - 2160*s What is the second derivative of -51*v*x**3 + 2*v*x**2 + 2478*v*x - v - 1321*x**3 + 83*x**2 - 4864*x + 1 wrt x? -306*v*x + 4*v - 7926*x + 166 Find the second derivative of f**3 - 8737655*f**2 - 15*f + 392324 wrt f. 6*f - 17475310 Differentiate 8411*f**2*u**4 + 2315*f**2*u + 111439425*f**2 with respect to u. 33644*f**2*u**3 + 2315*f**2 Find the second derivative of -417773233*o**5 + 101511718*o wrt o. -8355464660*o**3 What is the second derivative of -97946490*g*k**3*m - 20917881*g*k*m + 2*g*m - 2*k*m wrt k? -587678940*g*k*m Find the third derivative of 5201*b**5 + 1869*b**3 - 634*b**2 + 24*b - 88. 312060*b**2 + 11214 Find the first derivative of -5*r*u**2 + 41234*r*u - 635661*r + 3*u**2 wrt u. -10*r*u + 41234*r + 6*u What is the second derivative of 29812*k**3 + 2553*k**2 - 783986596*k? 178872*k + 5106 Find the first derivative of 2*o**4 + 20668524*o**2*x + 8055624*x wrt o. 8*o**3 + 41337048*o*x Find the second derivative of 20*u**3*v - 4*u**3 + 8162*u**2*v + 48*u*v + 4*u + 310*v - 1 wrt u. 120*u*v - 24*u + 16324*v Find the third derivative of -2*s**6 - 146498594*s**4 - 28397*s**2 + 9*s + 8. -240*s**3 - 3515966256*s Differentiate -603452*s + 2373892 with respect to s. -603452 What is the third derivative of 5550793*n**3*t**3 + 2*n**3*t**2 - n**2*t**3 + 102*n**2 - 6051*n*t**3 wrt n? 33304758*t**3 + 12*t**2 Find the second derivative of -7607411*n**3 + 85953975*n. -45644466*n What is the second derivative of 342605102*h**3*y**4 - 3*h**3*y - 90293*h**3 - h**2 + 2*h + 5*y - 5 wrt y? 4111261224*h**3*y**2 What is the second derivative of 4*i*m**3 - 10*i*m + 8*i + 6419*m**3 - 22*m**2 - 16*m - 143 wrt m? 24*i*m + 38514*m - 44 Differentiate 146381836*a**2 - 101752558. 292763672*a What is the derivative of 34*o**2 - 1424812*o + 269878098 wrt o? 68*o - 1424812 What is the third derivative of 3*n*w**4 + 31032*n*w**2 + 3*n*w - n + 39083*w**4 + w**3 - 5*w**2 - 2*w wrt w? 72*n*w + 937992*w + 6 Find the second derivative of 7855958*n**3 + 250274*n + 5. 47135748*n Find the first derivative of -9812*q**4*y + 2*q**4 + 33*q*y - 3026305*y wrt q. -39248*q**3*y + 8*q**3 + 33*y Find the third derivative of -128882*z**4 + 497*z**3 + 117122414*z**2 wrt z. -3093168*z + 2982 Find the third derivative of 2*j**5 + 97235*j**3 - 35*j**2 - 6*j - 5174. 120*j**2 + 583410 Find the second derivative of 8633160*i**4 + 1557680*i - 4 wrt i. 103597920*i**2 Find the second derivative of -147746242*b**5 - 2*b**2*n**3 + 30*b*n**3 + 578*b*n - 54*n**3 + 2*n**2 wrt b. -2954924840*b**3 - 4*n**3 Find the second derivative of 1274*a**4 + 14*a**3 + 60*a**2 + 53339774*a. 15288*a**2 + 84*a + 120 Find the third derivative of 6*w**4 + 30643130*w**3 + 1234059*w**2 - 103 wrt w. 144*w + 183858780 What is the second derivative of 2191508*l**3 + 15338*l - 103 wrt l? 13149048*l What is the derivative of 225327215*c*y + 875961994*c wrt y? 225327215*c Find the third derivative of -4*a*p**3*t - 2*a*p*t + 2*a*t - 9*p**3*t + 52762*p**3 + 83737*p**2*t + 5*p*t - p wrt p. -24*a*t - 54*t + 316572 What is the second derivative of 147541*p**4 + 18*p**3 - 1202*p + 9317? 1770492*p**2 + 108*p Find the third derivative of h*m**2*y**2 + 3*h*m**2*y - 13*h*m**2 + 98*h*y**3 - 11292*h*y - 172654*m**2*y**3 - m**2*y**2 + 2*y**2 wrt y. 588*h - 1035924*m**2 Differentiate 22717916*j**4 + 18552197 with respect to j. 90871664*j**3 Find the second derivative of 335499997*d**4 + 3*d - 54079176. 4025999964*d**2 What is the third derivative of -250173227*p**5 - 179577963*p**2 wrt p? -15010393620*p**2 What is the third derivative of 218611*g**3*l**3 - 3*g**3*l**2 - 34*g**3*l - 4*g**2 + 268*g*l**3 - 2*g*l**2 - 6*g + l**2 - 8*l wrt g? 1311666*l**3 - 18*l**2 - 204*l Find the first derivative of 29895287*u**4 - 13316028 wrt u. 119581148*u**3 Find the third derivative of -60624684*d**4 + 16*d**2 + 1185903*d. -1454992416*d Differentiate -c**4 + 109721*c**3 - 7*c**2 + 1039983. -4*c**3 + 329163*c**2 - 14*c Find the third derivative of 3*a*j**3 + 3254*a*j**2 - 2725308*j**3 + 20*j**2 + 8 wrt j. 18*a - 16351848 Find the first derivative of -608077825*y - 746809677. -608077825 Differentiate -34738569*k**2*s - 72*k**2*z - 22847*k**2 + 2*s*z - 9 wrt s. -34738569*k**2 + 2*z What is the second derivative of -m**4 + 390*m**3 - 2716*m**2 + 2522293*m wrt m? -12*m**2 + 2340*m - 5432 What is the second derivative of 25112024*p**3*u**2 - p*u**2 + 136*p - 12037*u**2 wrt p? 150672144*p*u**2 Find the first derivative of 457674*t**3 - 9*t**2 + 8947438. 1373022*t**2 - 18*t Find the second derivative of -2394384*q**2 + 1417*q - 3074 wrt q. -4788768 Find the third derivative of -3597*u**6 + 231*u**5 - 12451050*u**2. -431640*u**3 + 13860*u**2 Find the first derivative of 237*a*g**2*j - 691*a*g**2 - 464*a*g + 392668*a*j - 39*g**2 wrt j. 237*a*g**2 + 392668*a Find the second derivative of -430806971*p**2*z**2 + 393*p**2 + 2*p*z - 2*p - 2*z - 2541 wrt z. -861613942*p**2 What is the second derivative of 4246094*s**2 - 8319560*s wrt s? 8492188 What is the second derivative of -25098932*b**2*m**3 + 21*b*m**3 - b*m**2 - 56*b*m + 2*b + 96*m**3 wrt b? -50197864*m**3 What is the first derivative of 8390330*i**2 + 13579891 wrt i? 16780660*i Differentiate -6270219*l + 14333222 wrt l. -6270219 Find the third derivative of -8*j*n**3 + 2*j*n + 58*j + 4740010*n**3 - 2*n**2 - 3*n + 47521 wrt n. -48*j + 28440060 Find the second derivative of -300*o**5 - 12946*o**3 + 329221*o - 8 wrt o. -6000*o**3 - 77676*o What is the first derivative of 136650067*h*r - 2639*h + 15118 wrt r? 136650067*h What is the first derivative of 26563343*k**2 - 27154019 wrt k? 53126686*k What is the third derivative of 2*g**3*p**3 + 25663*g**3*p**2 + 20*g**3*p - 390*g**2*p**3 + 13025*g**2*p wrt g? 12*p**3 + 153978*p**2 + 120*p What is the third derivative of 2*k*x**5 + 32405480*k*x**3 + k*x**2 + 97*k - 200*x**2 - x - 59 wrt x? 120*k*x**2 + 194432880*k Find the first derivative of -274862546*z**4 + 126249216. -1099450184*z**3 Find the third derivative of 71857778*x**3 + 92*x**2 + 7*x + 1325 wrt x. 431146668 What is the th
{ "pile_set_name": "DM Mathematics" }
p**4/24 + 5*p**3/6 + 5*p**2. Let s be v(5). What is the highest common factor of 200 and s? 25 Suppose -12 = -5*i + 23. Suppose -d + 81 = -i. Calculate the highest common factor of 11 and d. 11 Let r = 43 + -7. Let h = r - 22. Calculate the greatest common divisor of 154 and h. 14 Suppose 0 = 4*b + b - 240. Let c be (-4)/(-10) - b/(-5). Suppose -5*w = -5*k + 3 - 38, -w - k = -13. Calculate the greatest common divisor of w and c. 10 Let s be (-1)/(1/(-4 - -1)). Suppose 44 = -r + 3*r. Suppose -14 - r = -4*t. What is the highest common factor of s and t? 3 Let l = 13 + -5. What is the highest common divisor of 56 and l? 8 Let v = -64 + 109. Calculate the greatest common factor of 9 and v. 9 Let n(j) = j - 6 + j**2 + 6*j - 2*j**2. Let m be ((-5)/3)/5*-15. Let i be n(m). Calculate the greatest common divisor of i and 28. 4 Suppose -2*l + 72 = 8. Suppose 0 = 5*g - 41 - 39. What is the highest common factor of g and l? 16 Suppose -177 = -2*g + u, -3*g = u - 3*u - 266. What is the greatest common factor of g and 8? 8 Let g = -12 - -17. Suppose -67 = -4*j + g. Calculate the greatest common factor of j and 9. 9 Let b = 31 - 27. Calculate the highest common factor of 4 and b. 4 Let o(p) = -p**2 + p. Let i(h) = -2*h**2 + 4*h + 12. Let c(f) = i(f) - 3*o(f). Let w be c(0). What is the greatest common factor of 84 and w? 12 Suppose 3*y = 5*o + 14, 2*y - 2*o = o + 9. Suppose 0 = -y*m + 2*m + 6. Calculate the highest common divisor of 54 and m. 6 Let i(v) = v**2 - 2. Let u be i(6). Suppose 4*o = 38 + u. Calculate the greatest common divisor of 36 and o. 18 Suppose -4 = -g + 2. Calculate the greatest common factor of 66 and g. 6 Let y(g) = -g**2 - 28*g - 4. Let m be y(-8). What is the highest common factor of m and 12? 12 Let h = 6 - -1. What is the highest common factor of h and 14? 7 Let j be ((-15)/6)/((-2)/4). Suppose 4*f = -2*w + 16, 2 = -w + 2*f - 10. Let c = w - -37. Calculate the greatest common divisor of j and c. 5 Let f(b) = 4*b + 3. Let p be f(7). Calculate the highest common divisor of 93 and p. 31 Let r = -15 - -48. Calculate the greatest common divisor of 3 and r. 3 Let q be (-4)/(-3)*(-90)/(-12). Let t = 7 + -5. What is the highest common divisor of q and t? 2 Suppose -a - a = 3*t - 35, 0 = 5*t + 5*a - 65. Suppose 53 = n + 8. Calculate the greatest common divisor of t and n. 9 Suppose 20*r = 18*r + 22. Calculate the greatest common factor of 22 and r. 11 Let n = -16 + 14. Let y be 0/(-1 - n) + 10. Calculate the highest common divisor of y and 10. 10 Suppose -5*j + 4*i = -35, 4*i = j + 2*i - 13. What is the highest common divisor of j and 24? 3 Let d be ((-28)/(-6))/(4/18). Calculate the greatest common divisor of d and 84. 21 Suppose m + 3*m - 2*r = 40, 4*m - r - 38 = 0. Let n = 141 - 114. Calculate the highest common factor of m and n. 9 Suppose 5*o - 5*p - 115 = 0, -4*o + 136 = o + 2*p. What is the highest common factor of o and 13? 13 Suppose 4*u - 2*u - 54 = 0. Calculate the highest common factor of u and 18. 9 Let q be 34/(-51) + (-8)/6. Let y be 1/(2*q/(-72)). What is the greatest common factor of y and 198? 18 Let d(y) = -3 - y - 1 + 2 + 3*y**2. Let q be d(-4). What is the greatest common divisor of q and 10? 10 Suppose -19 = -4*t + 13. What is the greatest common divisor of t and 40? 8 Let s(q) = -11*q + 1. Let i be s(-1). Let u be -1*(-2)/3*i. Let v = -119 - -175. What is the highest common divisor of u and v? 8 Let m = -6 + 11. Let j(y) = -y**3 + 6*y**2 + 3*y. Let i be j(m). Suppose -4*v = 5*o - 32, -4*o - 5*v = -3*o + 2. Calculate the highest common factor of o and i. 8 Suppose -9*n = -13*n + 32. Suppose 3*p - 9 = 3*f, 2*f = 2*p - f - n. What is the greatest common factor of p and 8? 1 Let d be (8/(-3)*-6)/2. Let o be 386/d + 3/(-12). Calculate the greatest common factor of 16 and o. 16 Let s = -25 + 15. Let q = -9 - s. What is the greatest common factor of q and 8? 1 Suppose 0 = -p - 7*p + 280. Calculate the greatest common divisor of 14 and p. 7 Suppose 4*f - 10 = -m, m - 2*f = -4*m + 72. Let x = 390 + -264. What is the highest common factor of m and x? 14 Let o = -5 + 9. Suppose 0 = -3*z, 0*w = -o*w - 4*z + 32. Let m be w - -1 - (2 - -1). What is the greatest common divisor of m and 30? 6 Suppose 0 = 4*s - 7*s + 78. What is the highest common factor of s and 65? 13 Let h(c) = 2*c - 2. Let z be h(2). Suppose z*l + 25 = 7*l. Suppose 132 = l*t - 4*t. What is the highest common factor of 12 and t? 12 Let f(o) = 2*o**2 - 3*o - 8. Let q be f(7). Calculate the greatest common divisor of 23 and q. 23 Let k(v) = 5*v**3 + 3*v + 9. Let d be k(4). Calculate the highest common divisor of 31 and d. 31 Let b = -18 + 25. Suppose -j + b = -5. Calculate the greatest common divisor of j and 108. 12 Let x(d) = 7*d + 4. Let n be x(3). Suppose 5*c + 21 = 2*z - n, z - 5*c = 28. Calculate the highest common factor of 3 and z. 3 Suppose -15 = -5*s, b + 2*b = -3*s + 21. Suppose 3*v + b*j = 347, v + j - 359 = -2*v. Calculate the greatest common factor of v and 11. 11 Let r be (40 + 2)*1 + -2. Let h be 4/18 - (-1238)/18. Suppose b - q = 6*b - 79, 5*q + h = 4*b. What is the highest common factor of r and b? 8 Suppose -4*n - 22 = -2*o, -22 = -6*o + 4*o + 5*n. Calculate the highest common divisor of o and 33. 11 Suppose 2*g + 23 = 89. Suppose 0 = n + 2*n + 12. Let l(x) = -3*x - 1. Let v be l(n). Calculate the greatest common factor of v and g. 11 Let n(l) = 4*l**2 + 4*l. Let b be n(3). What is the greatest common factor of b and 16? 16 Let r be (-6)/((-196)/48 - -4). Let k be 18/r + (-47)/(-4). Calculate the highest common factor of k and 6. 6 Let n be 4/14 - (180/(-7))/1. What is the highest common divisor of 286 and n? 26 Let a = 110 + -32. Suppose a = 4*q - q. Let v = 22 + -9. Calculate the highest common divisor of v and q. 13 Let x = -2 - -8. Suppose -x*c + 2*c = -44. Suppose -2*o + 77 = -o. Calculate the highest common divisor of o and c. 11 Suppose 2*l - 20 = -4*j, -l + 9 + 7 = 4*j. Let i = 47 - 34. Suppose -z = w - i, z - 5 = 2*w - w. What is the highest common divisor of j and z? 3 Let y be 6*(-3)/6 + 10. What is the highest common factor of y and 7? 7 Let j = -111 + 161. Suppose 5*h - 3*r = 103, -5*h + h + 2*r + 82 = 0. Calculate the greatest common divisor of h and j. 10 Let r(i) = i**3 - 2*i**2 + i - 1. Let b be r(2). Calculate the highest common divisor of 1 and b. 1 Let c(y) = -y + 11. Suppose 4*i + 5*a = 13, -a - 1 = i - 2*i. Let u be 17/2 + 1/i. Let p be c(u). Calculate the highest common divisor of 6 and p. 2 Let l = -37 - -64. Let z be 1*l + (-17 - -16). What is the highest common divisor of 13 and z? 13 Let q be 15/6*6/1. What is the highest common factor of 3 and q? 3 Suppose 21*r - 15*r - 144 = 0. What is the highest common factor of 108 and r? 12 Let q be (12/9)/(6/315). What is the greatest common factor of q and 28? 14 Suppose -7*s + 2*s + 8 = x, -11 = -3*x - 2*s. Suppose -5*q - 3*h - 2*h + 80 = 0, 5*q - 72 = x*h. Calculate the greatest common divisor of q and 105. 15 Let v be (-32)/(2 + -4) - -2. Let d be 12/7 + -6*3/(-63). What is the greatest common factor of v and d? 2 Suppose 0 = -33*y + 41*y - 80. Calculate the greatest common factor of y and 150. 10 Suppose -3*i = -4*i + 16. Calculate the highest common factor of i and 4. 4 Let q = 4 + 24. What is the highest common factor of q and 7? 7 Suppose 0*l = 3*l - 72. Let i be 12*(-3)/(-4 + 1). Let h = 18 - i. What is the greatest common factor of h and l? 6 Suppose -5*n + 2*x = -2*x - 213, -6 = -2*x. Calculate the greatest common factor of 18 and n. 9 Suppose -i - 5*j = -26, -2*i + 4*j - 4 + 0 = 0. Suppose 5*d - i = 4. Suppose d*p - 34 = -0*p. What is the highest common factor of p and 187? 17 Let w be (-3 - -12)/(-3) - -19. Calculate the greatest common divisor of 32 and w. 16 Let u be 4 + -6 - -23*2. Calculate the greatest common divisor of 22 and u. 22 Suppose 0 = -2*c + 20 - 6. Let f = -6 + c. Calculate the greatest common factor of 7 and f. 1 Let f(s) = s + 3*s - 6*s**2 - 2*s - s**3. Let b = -16 - -9. Let x be f(b). Calculate the highest common divisor of x and 14. 7 Let j be -1*(-6 - (5 + -4)). Calculate the greatest common factor of 56 and j. 7 Suppose 0 = 5*d + b - 26, 5*d + 5*b - b - 29 = 0. Let l(m) = 5*m + 2*m**2 - d*m. Let c be l(3). Calculate the highest common divisor o
{ "pile_set_name": "DM Mathematics" }
rs of i? 2, 3 Let c(r) = 6*r**2 + 34*r + 20. Let f(p) = -p**2 - 7*p - 4. Let u(h) = -2*c(h) - 11*f(h). Let b be u(11). List the prime factors of (-652)/b - (-2)/(-9). 2, 3 Let m be (20/8)/(1/(-2)). Let v be -10 + m + -2 + 4. What are the prime factors of v/(-1) - 3 - 1? 3 Suppose 4*l + 5*w - 1181 = 0, 108*l + 3*w = 111*l - 906. What are the prime factors of l? 13, 23 Suppose -w + 23 = 5*a, -2*a = a + 2*w - 18. What are the prime factors of 194 + -1 - (-12)/a? 2, 7 Suppose 3*d = 35*d - 12000. What are the prime factors of d? 3, 5 Let y(k) = -2*k + 16. Let u(a) be the third derivative of a**5/60 - 3*a**4/8 + 11*a**3/6 + a**2. Let d be u(6). What are the prime factors of y(d)? 2, 3, 5 Suppose u = 3*j - 10, -3*u + 3 - 19 = -2*j. Suppose j*p = 4*p - 760. Suppose 3*h - p = -2*h. List the prime factors of h. 2, 19 Suppose 5*b = -4*o + 37, 4*o - 5*b + 1 = -12. List the prime factors of o*(3 + (-488)/(-12)). 131 Suppose 5528 = 2*s - 2*l, 3*s - 4*l - 7757 - 536 = 0. What are the prime factors of s? 3, 307 Let s = 727 + -352. Suppose 2*n - s = -n. Suppose 6*t - 109 = n. What are the prime factors of t? 3, 13 Suppose -5*t - 39 = z, 0 = -4*z - 0*z + 3*t - 110. Let c = 0 - z. What are the prime factors of c? 29 Suppose 290 = -3*m + 65. List the prime factors of ((-400)/m)/(4/66). 2, 11 Let d(x) = x**3 - 3*x**2 - 2*x - 5. Let t be d(4). Suppose -22 = t*w - 64. List the prime factors of w. 2, 7 Suppose 4*m = -m + n + 19, m + 3*n - 7 = 0. Suppose -m*b + 3*x - 2*x - 43 = 0, -5*b - 4*x = 80. Let z = b + 34. List the prime factors of z. 2, 11 Suppose s + 0 = 11. Let b be s/(-22) + 2/(-4). What are the prime factors of b/2*(2 - 48)? 23 Suppose 0 = 5*v + 2*f - 44, -5*v + 0*f = -4*f - 32. Let b(c) = c**2 - v + 0*c**2 + 2*c + 0*c**2 + 12. List the prime factors of b(-3). 7 Let s(y) = 166*y**2 - 3*y + 3. List the prime factors of s(2). 661 Let q = 51 - -271. What are the prime factors of q? 2, 7, 23 Let b(x) = -x**3 + 6*x**2 + x - 4. Let w be b(6). Suppose -3 = -h - w. List the prime factors of (-104)/(-16) - h/2. 2, 3 Let q = 894 - 408. List the prime factors of q. 2, 3 Let u = 47 + -50. What are the prime factors of -261*(u/9)/((-2)/(-4))? 2, 3, 29 Let v = -13 + 15. List the prime factors of v - -88 - (0 + -3). 3, 31 Let b = 106 + -58. Suppose 2*q = -0*q + b. List the prime factors of q. 2, 3 Suppose 29 - 80 = -t. Suppose -189 = -5*m - 4*j, t - 2 = m - 2*j. List the prime factors of m. 41 Suppose 2*m - 2*c - 620 = -3*m, 3*c + 248 = 2*m. List the prime factors of m. 2, 31 Let u(x) = -33*x**3 - x - 1. Let g be u(-1). Let j = g - -41. Let z = -47 + j. List the prime factors of z. 3 Let n = -1027 - -1742. What are the prime factors of n? 5, 11, 13 Let r = 571 + -325. Suppose -3*k = -3*y + r, k - 5*k = -y + 85. List the prime factors of y. 3 Suppose 2*l - g = g + 30, 76 = 5*l - 4*g. Suppose -5*b = -2*w - 6, -4*b + 2*w - 6*w = -l. List the prime factors of b/(-3)*36/(-8). 3 Let z be ((-19)/57)/(1/(-1251) - 0). Suppose 0 = -10*q + 13*q - z. What are the prime factors of q? 139 Let k = -253 - -655. Suppose 262 = 8*n - k. What are the prime factors of n? 83 Let i be (-12)/18 + (-4)/(-6). Suppose 2*o - 269 - 183 = i. List the prime factors of o. 2, 113 Suppose 0 = -4*w + 3*w + 3. Suppose w*i + 84 = 549. List the prime factors of i. 5, 31 Let i be ((-6)/4)/(((-99)/(-24))/(-11)). List the prime factors of (159/(-3))/(2*(-2)/i). 53 Let q be -1 + 0 - (31 - 10). Let s = q + 37. List the prime factors of s. 3, 5 Suppose 3*m + 4*u = -65, -2*m - 4*u = -4*m - 50. Let c = 25 + m. Suppose -c*k - 6 = -30. List the prime factors of k. 2, 3 Suppose -5*n + 14 = 4. What are the prime factors of (-4)/8 - (-7)/n? 3 Let x = -1697 + 3315. List the prime factors of x. 2, 809 Suppose 0*v + 9 = 3*w + 2*v, -10 = 5*w - 5*v. Let p be (2/1 - w)/(-1). List the prime factors of 5/(3/(p + 7)). 2, 5 Let o be (1/2)/((-1)/(-2)). Suppose 3*q = 2*n - o, -5*n - 4*q = -4*n - 6. List the prime factors of 55*(6 - 4)/n. 5, 11 Let b = 757 + 607. What are the prime factors of b? 2, 11, 31 Suppose 0 = 2*l + 5*o - 905, 2*o = -5*l + 3*o + 2222. Let p = 627 - l. What are the prime factors of p? 2, 7, 13 Let a = 11 - 8. Suppose 118 = a*d - 8. What are the prime factors of d? 2, 3, 7 Let i(v) = v + 12. Let r be i(-10). Suppose -p + 198 = r*p. Suppose 4*g + p = 2*q + 18, -g + 12 = q. List the prime factors of q. 2 Let k be (4 + 2)/(6/340). Suppose 0 = -4*c - 0*f + f + 330, -4*f = 4*c - k. List the prime factors of c. 83 Suppose 4*b - 7 - 45 = 0. Let o(v) = 2*v + b*v**2 - 5*v + 12*v**2 + 4*v. List the prime factors of o(-1). 2, 3 Let n = 915 - 752. What are the prime factors of n? 163 What are the prime factors of 30/(-5)*(-4110)/36? 5, 137 Let y(r) = 3*r + 21. Let x be y(-6). Suppose -v + c = -41, 3*v - v - 87 = x*c. What are the prime factors of v? 2, 3 Let n(g) = g**3 + 5*g**2 - 3*g - 14. Let p be n(-9). Let w = -199 - p. What are the prime factors of w? 2, 7 Suppose 2*o - 6*o = -2*m + 1208, -o + 1183 = 2*m. What are the prime factors of m? 2, 3, 11 Let y(x) = -3*x**2 + 6*x + 9. Let s(n) = -n**2 - n - 1. Suppose -3*d = 0, -2*k + k - 2 = -d. Let p(c) = k*s(c) + y(c). What are the prime factors of p(9)? 2 Let x be 37 + 3*(-3)/9. Let i be (-192)/x*234/(-4). Suppose 4*d + i = 4*c, 7*c + 4*d - 199 = 4*c. What are the prime factors of c? 73 Let q = -5 + 30. Let h = 27 + q. Let j = h + 11. List the prime factors of j. 3, 7 Suppose -5424 = -37*w + 17405. List the prime factors of w. 617 Suppose -w - 3 = 5*p + 9, 5*p = 10. List the prime factors of (-561)/w*(-84)/(-9). 2, 7, 17 Let x = 17 + -13. What are the prime factors of (-1336)/(-24) - x/6? 5, 11 Let a(j) = -j**3 - 11*j**2 - 10*j + 6. Suppose 2*w + 14 = -6. Let x be a(w). Suppose 3*p - x = 36. List the prime factors of p. 2, 7 Suppose -2*h - 6 = 4*z - 2*z, h + 23 = -5*z. Let o be -2*13/h*3. Let s = o + 67. What are the prime factors of s? 2, 7 Let j(g) = g + 3. Let t be j(5). Let k(b) = 5 + 2 + b**2 + 6 + t*b - 4. What are the prime factors of k(-7)? 2 List the prime factors of (-352)/(-55)*(-510)/(-4). 2, 3, 17 Let c = 7 - 4. Suppose t = -c*t. Suppose 2*g + 3*w = w + 14, t = -4*w + 16. What are the prime factors of g? 3 Let j = 1528 - 367. What are the prime factors of j? 3, 43 Let p(z) = z**2 + 4*z - 1. Let k be p(-4). What are the prime factors of k + -3 + 6 - -47? 7 Let i = 2 + 0. Let b(n) = 3 + 4*n**2 + n**2 - 4*n**i - 10*n. List the prime factors of b(10). 3 Let n = 177 + -105. What are the prime factors of (-475)/(-9) + 16/n? 53 Let x = -2 - 1. List the prime factors of (-1)/x*(35 - 2). 11 Suppose -1 = -2*l - 3*c + 17, 4*c = -4*l + 40. Let j(o) = -6 - 1 - 11*o**2 + 10 - o**3 + l - o. List the prime factors of j(-11). 2, 13 Suppose 8*u = -5*l + 10*u + 20787, -l - 4*u = -4153. What are the prime factors of l? 4157 Let n(r) = 3*r**2 - 4*r + 4. Let s(j) = j**3 + 3*j**2 + 1. Let c be s(-3). Let h be (c + 9)*6/12. What are the prime factors of n(h)? 59 What are the prime factors of (-20)/(-3)*(5 - 1540/(-25))? 2, 3, 37 Suppose 6304 - 129 = 19*m. What are the prime factors of m? 5, 13 Let s(y) = 2*y + 47. Suppose 6*r + 286 = 17*r. What are the prime factors of s(r)? 3, 11 Suppose 0 = -5*d - 0*d + 3835. List the prime factors of d. 13, 59 Let j = 203 + 80. What are the prime factors of j? 283 Suppose 0 = 5*h + 10*h - 18360. What are the prime factors of h? 2, 3, 17 Suppose -3*z = -3*v - 39, -z - 3*v + 8*v = -17. List the prime factors of z. 2, 3 Suppose 3*d + 5 = 8. Suppose -d = 3*p - 19. What are the prime factors of 90/(-4)*(-4)/p? 3, 5 Let v = -62 + 103. Let k be (-1 + 1 - -2) + 72. Let w = k - v. List the prime factors of w. 3, 11 Let l(i) = i**2 + i. Let b be l(-1). Suppose 8*z - 251 + 3 = b. What are the prime factors of z? 31 Suppose 0*o - o = 2. Let r = 2 + o. Suppose -2*n + 42 = -r. What are the prime factors of n? 3, 7 Let g(i) = 208*i**2 + 6*i + 3. What are the prime factors of g(-1)? 5, 41 Let o be 26*(88/(-240) + 2/(-15)). List the prime factors of (-8)/(-4)*o/(-1). 2, 13 Let x = 23 + -21. List the prime factors of 54/7 - x/(-7). 2 Let q be (1 - 5)/((-14)/21). Let c(g) = -20 + q - 5*g + 2*g. List the prime factors of c(-11). 19 Let d(c) = c**3 + 27*c**2 + 24*c - 168. List the prime factors of d(-22). 2, 431 List the prime factors of (-1)/(5/6)*(-575)/2. 3, 5,
{ "pile_set_name": "DM Mathematics" }
/5 - u/5 + 77. Find d, given that y(d) = 0. 1 Let v(j) be the second derivative of 1/6*j**2 + 19/54*j**4 + 17/54*j**3 + 20*j + 0 + 23/270*j**6 + 5/378*j**7 + 7/30*j**5. Let v(b) = 0. What is b? -1, -3/5 Let w(j) = -2*j + 16. Let o be w(7). Factor -3*s - 3*s + 4 - 2*s + o + 2*s**2. 2*(s - 3)*(s - 1) Factor -238*r + 103*r - 6*r**2 + 22*r**2 - 4*r**3 - 91*r**2 - 65 - r**3. -5*(r + 1)**2*(r + 13) Let t be (-5212314)/108588*(-8)/30. Let j = t - 2/9049. Solve j*n - 16/5 + 36/5*n**2 = 0 for n. -2, 2/9 Suppose 77 = 2*q - 103. Let d be 18/(-45) + 56/q. What is y in 128/9 + 32/3*y + d*y**3 + 8/3*y**2 = 0? -4 Let d = -900 - -902. Factor -2/3*o + 0 + o**d - o**4 + 2/3*o**3. -o*(o - 1)*(o + 1)*(3*o - 2)/3 Let z(b) = 12*b**2 + 88*b + 98. Let l be z(-6). What is v in v**3 - v + 0 + 1/2*v**4 - 1/2*v**l = 0? -2, -1, 0, 1 Let b(m) be the second derivative of 11*m + 1/7*m**4 - 6/7*m**2 + 0 - 2/21*m**3 + 1/35*m**5. Factor b(k). 4*(k - 1)*(k + 1)*(k + 3)/7 Let i(t) = -22*t + 572. Let r be i(26). Let h(z) be the third derivative of -1/12*z**5 - 5*z**2 - 1/120*z**6 + r - 1/2*z**3 - 7/24*z**4 + 0*z. Solve h(s) = 0. -3, -1 Let p(g) = g**3 + 5*g**2 + 4*g + 2. Let u be p(-4). Factor 24*m**3 + 51*m**3 - 4*m + 30*m**u + 7*m. 3*m*(5*m + 1)**2 Suppose 4*d = 0, h + 4*d + 5 = 7. Let b(v) be the third derivative of -7*v**h - 1/10*v**3 - 1/100*v**5 + 0 + 0*v - 1/20*v**4. Determine o so that b(o) = 0. -1 Factor -3/4*b**3 - 15/4*b - 75/2 + 6*b**2. -3*(b - 5)**2*(b + 2)/4 Let 120*f**2 + 0 - 252*f - 93/7*f**3 + 3/7*f**4 = 0. Calculate f. 0, 3, 14 Let i(g) = g**2 - 1. Let p(j) = j**2 + 8*j - 18. Suppose t = 5*v + 11, -t + 0*v = 2*v + 3. Let w(n) = t*p(n) - 2*i(n). Factor w(x). -(x - 4)**2 Let m(h) be the third derivative of -h**7/105 - 23*h**6/60 + 52*h**5/15 - 9*h**4 - 7*h**2 + 47*h. Let m(v) = 0. Calculate v. -27, 0, 2 Let j(g) = -17*g - g**3 + 19*g + 2 - 11*g + 4 + 6*g**2. Let v be j(4). Let 0 + 1/2*y - 1/4*y**v = 0. What is y? 0, 2 Let z be 2*(4 - 50/20). Let m(k) be the second derivative of 7*k**4 + 7*k + 39/20*k**5 + 3*k**2 + 0 + 17/2*k**z. Let m(p) = 0. What is p? -1, -2/13 Let k(m) = -2*m**4 + 7*m**3 + 16*m**2 - 35*m + 29. Let r(t) = 6*t**4 - 20*t**3 - 50*t**2 + 104*t - 88. Let i(x) = 16*k(x) + 5*r(x). Factor i(s). -2*(s - 6)*(s - 1)**2*(s + 2) Let y(a) be the first derivative of a**4/18 + 2*a**3/9 - a**2/9 - 2*a/3 - 80. Factor y(g). 2*(g - 1)*(g + 1)*(g + 3)/9 Let p(h) = -3*h**3 - 60*h**2 + 101*h - 59. Let u(z) = z**3 + 30*z**2 - 51*z + 29. Let x(f) = -3*p(f) - 7*u(f). Suppose x(i) = 0. Calculate i. 1, 13 Let q(c) = c**3 + 3*c**2 + 2*c + 3. Let o be q(-2). Factor -5*r**2 - o*r**2 + 3*r**4 + r**4 + 0*r**4 - 4*r**3. 4*r**2*(r - 2)*(r + 1) Factor -2/3*h**2 + 20*h - 58/3. -2*(h - 29)*(h - 1)/3 Let t = 53 - 51. Determine w, given that 32*w**2 + 2*w - t*w**5 + 29*w**2 + 4*w**4 - 65*w**2 = 0. -1, 0, 1 Suppose 75 + 7 = 41*k. Factor 2/5*u**3 + 0*u**k + 0 + 0*u. 2*u**3/5 Let w(x) be the second derivative of x**6/50 - 3*x**5/20 - x**4/20 + x**3/2 + 83*x. Solve w(j) = 0. -1, 0, 1, 5 Let m(x) be the third derivative of -x**5/30 - x**4/48 + x**3/24 + 3*x**2 + 2. Factor m(c). -(2*c + 1)*(4*c - 1)/4 Let d(o) = -o**4 - o**2 - o + 1. Let a(l) = l + 10*l**3 + 8 - 26*l**3 - 5*l**2 + 10*l**3 - 8*l**4. Let k(f) = -a(f) + 5*d(f). Factor k(m). 3*(m - 1)*(m + 1)**3 Let f(h) be the second derivative of 2*h**7/15 - 8*h**6/25 - 67*h**5/25 - 4*h**4/15 + 8*h**3 + 32*h**2/5 - 77*h + 2. Suppose f(j) = 0. Calculate j. -2, -1, -2/7, 1, 4 Suppose -5*g**4 - 9*g**3 - 89*g + 78*g + 20*g**3 + 3*g**2 + 2 = 0. What is g? -1, 1/5, 1, 2 Let j be ((-24)/7)/((-4)/14). Suppose j = 4*w - 4. Factor 18*m**5 - 14*m**5 + 2*m**w - 2*m**4. 4*m**5 Let l(u) be the second derivative of 8*u**6/15 + 19*u**5/5 - 29*u**4/3 + 4*u**3 + 131*u - 2. Factor l(x). 4*x*(x - 1)*(x + 6)*(4*x - 1) Let d be 243/54*16/3. Suppose -6*v**4 - v**4 - 60*v + 142*v**3 + 4*v**4 - 54*v**2 - d - 163*v**3 = 0. What is v? -2, -1 Let m(p) be the second derivative of -p**7/21 - 62*p**6/45 - 101*p**5/15 - 44*p**4/3 - 155*p**3/9 - 34*p**2/3 + 47*p. Let m(w) = 0. Calculate w. -17, -1, -2/3 Factor 16/3 + 1/3*r**3 - 22/3*r + 5/3*r**2. (r - 2)*(r - 1)*(r + 8)/3 Let d(b) be the second derivative of 2/3*b**3 + 1/3*b**4 + 0 + 8*b + 0*b**2. What is v in d(v) = 0? -1, 0 Let w(y) = 10*y**4 + 6*y**3 - 4*y**2 - 6*y + 6. Let m(q) = 452*q**2 - 1 - q**4 - q**3 + q - 452*q**2. Let l(o) = 6*m(o) + w(o). Suppose l(r) = 0. What is r? -1, 0, 1 Factor 2 - 3*y**2 + 30*y + 0*y - 77. -3*(y - 5)**2 Let -8/3*h**4 - 2/3*h**3 + 0 + 8/3*h**2 + 2/3*h = 0. Calculate h. -1, -1/4, 0, 1 Let v be (-3222)/126 + 21 + 5. Factor 0*s + 6/7*s**2 + 0 - 9/7*s**4 + v*s**3. -3*s**2*(s - 1)*(3*s + 2)/7 Let p(a) be the first derivative of a**4/6 - 8*a**3/9 - 4*a**2/3 + 32*a/3 + 127. Factor p(i). 2*(i - 4)*(i - 2)*(i + 2)/3 Let u = 34 - 13. Let a = 26 - u. Suppose 16*m**3 - 20*m**5 + 441*m**4 - 4*m + 8*m**a - 8*m**2 - 433*m**4 = 0. Calculate m. -1, -1/3, 0, 1 Let u(r) be the first derivative of 7*r**4/6 + 326*r**3/9 - 122*r**2/3 - 32*r - 130. Factor u(o). 2*(o - 1)*(o + 24)*(7*o + 2)/3 Solve 52 - 21*q**3 - 13*q**3 - 9*q**3 - 2117*q**4 - 72*q**2 + 32*q + 11*q**3 + 2137*q**4 = 0. -1, 1, 13/5 Suppose 10*a - 63 = 17. Let s(z) be the first derivative of -44/3*z**3 + z**4 - 16*z + 24*z**2 - 2/3*z**6 + 12/5*z**5 - a. Find i, given that s(i) = 0. -2, 1, 2 Let d(c) = -14*c - 3*c**2 + 17 + 33*c + 225 + 20*c. Let a(i) = 2*i**2 - 40*i - 242. Let g(k) = 5*a(k) + 4*d(k). Factor g(l). -2*(l + 11)**2 Let a = 5399/29634 + -1/2694. Suppose 6/11*r + 0 + a*r**2 = 0. Calculate r. -3, 0 Let o(f) be the third derivative of f**6/90 + f**5/6 - f**4 - 5*f**3/3 + 6*f**2. Let n(j) be the first derivative of o(j). Determine u, given that n(u) = 0. -6, 1 Find d, given that -6 - 3/4*d**3 + 3/4*d + 6*d**2 = 0. -1, 1, 8 Factor -3/4*d**2 + 0 + 3/4*d. -3*d*(d - 1)/4 Let g(c) be the third derivative of 17*c**2 + 0*c + 0 + 1/2*c**3 - 5/12*c**4 - 3/20*c**5 + 1/30*c**6. Factor g(q). (q - 3)*(q + 1)*(4*q - 1) Let g(x) = 123*x**4 + 1743*x**3 + 2454*x**2 - 1260*x. Let k(y) = -35*y**4 - 498*y**3 - 701*y**2 + 360*y. Let q(v) = -5*g(v) - 18*k(v). Let q(a) = 0. What is a? -15, -2, 0, 2/5 Let r = -2622 - -7877/3. Determine t, given that -r*t**3 + 4/3 + 13/3*t**2 + 16/3*t - 17/3*t**4 - 5/3*t**5 = 0. -2, -1, -2/5, 1 Let i(u) be the first derivative of 0*u + 6*u**2 + 8 - 1/45*u**5 + 0*u**4 + 0*u**3. Let p(y) be the second derivative of i(y). Determine n so that p(n) = 0. 0 Let x = 1530 - 1527. Let 0*z**2 + 1/3*z**5 - 1/3*z**4 + 0 + 0*z - 2/3*z**x = 0. What is z? -1, 0, 2 Let b be 0/(-2) + 12/6. Suppose y - 9 = -b*y. Find g such that -g + 3 - 12*g**y + 1 + 0*g**3 - 19*g + 28*g**2 = 0. 1/3, 1 Let m be (657/365)/((3/5)/1). Let r(l) be the first derivative of 1/2*l**4 + 5 + 2/9*l**m - 8/3*l**2 + 8/3*l. What is b in r(b) = 0? -2, 2/3, 1 Let x(y) be the second derivative of y**6/90 + y**5/15 - 8*y**3/9 - 2*y**2 + 9*y. Let o(n) be the first derivative of x(n). Factor o(k). 4*(k - 1)*(k + 2)**2/3 Let k(z) = -4*z**3 + 12*z**2 + 2*z + 6. Let o be k(3). Let w(u) be the first derivative of -u**3 - 9/2*u**2 + o*u - 6. Suppose w(g) = 0. What is g? -4, 1 Solve -262/17*a**2 - 8450/17 - 2/17*a**3 - 8710/17*a = 0. -65, -1 Determine u, given that -3*u**2 - 5*u + 3 - u + 3 + 3*u = 0. -2, 1 Let y(a) be the first derivative of 2 + 72*a**3 + 12*a**4 + 99/2*a**2 + 12*a. Suppose y(m) = 0. Calculate m. -4, -1/4 Let q(n) be the second derivative of -3/20*n**5 + 1/4*n**3 - 1/2*n**4 + 1/10*n**6 + 1/28*n**7 + 0 + 3/2*n**2 + 10*n. Find i, given that q(i) = 0. -2, -1, 1 Let w(g) be the first derivative of -4*g**3/3 - 8*g**2 - 16*g - 85. Solve w(r) = 0 for r. -2 Let g(b) = 2*b**2 + 20*b - 45. Let w(q) = q**2 - 15. Let u(z) = 2*g(z) - 6*w(z). Determine j, given that u(j) = 0. 0, 20 Let n be 156/65 - (-12)/20. Let d(w) be the first derivative of 0*w + 3/20*w**5 - 1/2*w**4 + 0*w**2 + 3/8*w**6 + 7 - 1/3*w**n. Factor d(y). y**2*(y - 1)*(3*y + 2)**2/4 Let v(h) be the first derivative of 3*h**5/25 + 9*h**4/20 - 22*h**3/5 - 36*h**2/5 - 157. Factor v(i). 3*i*(i - 4)*(i + 1)*(i + 6)/5 Suppose -11*r - 26 = -9*r - 5*c, -3*r + 12 = c. Let b be (-6)/(-6) - 10/14. Determine z so that 2/7*z**4 + 2/7*z**5 - 4/7*z**3 - 4/7*z**r + 2/7*z + b = 0. -1, 1 Factor -298*f**3 + 234*f**3 + 150*f**2 + 106*f**2 +
{ "pile_set_name": "DM Mathematics" }
-27. Let t = o + -13. Suppose 1 = -2*b + t. What is the highest common factor of 4 and b? 2 Suppose 8*a = -2056 + 2088. Calculate the greatest common factor of 28 and a. 4 Let c(f) = 14*f + 212. Let b be c(-10). Calculate the highest common factor of b and 8. 8 Suppose -c - 6 = -61. Calculate the highest common divisor of 22 and c. 11 Suppose 0*c - 63 = 3*c. Let d = -13 - c. Calculate the highest common factor of 2 and d. 2 Let c(v) = -v**3 - 9*v**2 + v + 19. Let f be c(-9). Calculate the highest common factor of f and 370. 10 Let r = 9 + 3. Let c be 0 - 3/r*0. Suppose 2*s - 9*s + 28 = c. Calculate the highest common factor of 8 and s. 4 Let s = -15 + 7. Let f be (s/1)/(8/(-32)). Let o = f + -14. What is the highest common divisor of o and 27? 9 Suppose 2*w + 4 - 18 = 0. Calculate the greatest common factor of w and 287. 7 Suppose 3*s = 2*s + 6. Suppose s*v = 41 + 43. Calculate the greatest common divisor of v and 14. 14 Let x(z) = -z**3 + 30*z**2 + 5*z - 22. Let l be x(30). Calculate the greatest common factor of 96 and l. 32 Suppose 3*k + 2*x - 490 = 0, 35*k + x + 165 = 36*k. What is the highest common factor of k and 410? 82 Let v(j) = -8*j**3 + 5*j + 7. Let k be (-1)/(4 + (-33)/9). Let x be v(k). Calculate the greatest common factor of x and 26. 26 Let w = -686 - -1099. Calculate the highest common divisor of w and 21. 7 Let t be (44/(-12) + -1)/(2/(-3)). Calculate the highest common divisor of t and 77. 7 Let i(x) = x**2 + 5*x + 7. Let z be i(-4). Suppose m = -2*g + 16, -z*m + 2*g = -0*g - 32. Suppose j + j = m. Calculate the highest common factor of j and 6. 6 Let t(a) = -a**2 - 8*a - 2. Let g be t(-6). Let d be -32 + 1 + (10 - 6). Let l = -25 - d. Calculate the highest common divisor of g and l. 2 Let w(v) be the third derivative of v**6/120 - v**5/30 - v**4/12 + 2*v**3/3 - 11*v**2. Let f be w(0). Calculate the greatest common divisor of 8 and f. 4 Let a(b) = -2*b - 9. Let t be a(-4). Let q(m) = -5*m**3 - m - 2. Let n be q(t). Let v be 6/(-4)*4/(-3). What is the highest common factor of v and n? 2 Let o(p) = -10*p - 40. Let a be o(-5). Let g be -1 + (-4)/a*(-230)/4. Calculate the greatest common divisor of g and 154. 22 Let n = 21 + -17. Let f be (-30)/(-7)*(n - -3). Suppose 4*s - 51 = 69. What is the greatest common divisor of s and f? 30 Suppose 3*q - 7 = 2*q + 3*z, 4*q + 4*z = -4. Let g be ((-2)/q)/((-1)/2). Calculate the greatest common divisor of 16 and g. 4 Suppose 3*a + 5*u = 4608, 25*a - 20*a + u - 7702 = 0. What is the highest common divisor of a and 23? 23 Suppose -6*i - 8 = -10*i. Suppose -i*f + f = -80. Suppose 3*q + q = f. Calculate the greatest common factor of 40 and q. 20 Let y = -14 - -20. Suppose -36 = y*l - 240. What is the greatest common factor of l and 17? 17 Suppose 2*w - 527 - 49 = 0. Calculate the greatest common factor of 216 and w. 72 Let d = 4 + 3. Suppose -i = 6, -71 = -x - i - 70. What is the greatest common factor of d and x? 7 Let h be 31*(-2)/(-4)*4. Suppose 2*a + 85 = 3*r, 3*r + a = -r + 128. What is the greatest common factor of r and h? 31 Let x = 33 + -35. Let p be 10 + -8 + (x - -39). Suppose 0*b - 5*f = -b + 18, f - 51 = -4*b. What is the highest common factor of p and b? 13 Let j = 2 + 0. Suppose z - 13 = 4*f + 2*z, 11 = -2*f - 5*z. Let a be f/12*j*-12. Calculate the greatest common divisor of a and 42. 6 Let j(n) = 3*n + 5. Let h be j(4). Suppose -h = -b + 7. Let x = -101 - -117. Calculate the highest common divisor of x and b. 8 Let q(k) = -k + 9. Let r be q(6). Suppose -3*j + 4*b + 258 = -2*j, -5*j - r*b + 1198 = 0. What is the greatest common divisor of 22 and j? 22 Suppose 0 = 3*x + 3*j - 18, 2*x - 3 = 2*j - j. Suppose x*c + 417 = -123. Let u be (-16)/(-10)*c/(-2). What is the greatest common factor of u and 16? 16 Let z = -1497 - -1533. Calculate the greatest common divisor of z and 9. 9 Suppose 6*f = -9*f + 1125. What is the highest common divisor of f and 6? 3 Let t = 175 + 437. Calculate the highest common divisor of t and 68. 68 Suppose 386 = 6*l - 220. Suppose 3*h - 3*b = 213, 4*b + 43 = 2*h - l. Calculate the greatest common divisor of h and 14. 14 Suppose -39 = -4*u - 7. Suppose 4*d + 0*r - 464 = -r, u = 2*r. Calculate the greatest common factor of 46 and d. 23 Let g = -15 - -19. Suppose -g*j + 9 + 43 = 0. Calculate the greatest common factor of 13 and j. 13 Suppose -4*f + 20 = f. Let c be (-2835)/(-10)*(-20)/(-6). Suppose j = -f*j + c. What is the highest common factor of j and 21? 21 Let o(a) = -72*a - 27. Let j be o(-1). What is the highest common factor of j and 288? 9 Let d(m) = -m**3 - 14*m**2 + 4*m - 25. Let n be d(-15). Calculate the greatest common divisor of 40 and n. 20 Suppose -b = 4*t - 27, t + t - 41 = 5*b. What is the highest common factor of 13 and t? 1 Let r be 8/(-4) - (-3 + -44). What is the greatest common factor of r and 195? 15 Suppose -t + 12 = 2*t - w, 5*t - 20 = -w. Calculate the highest common divisor of t and 64. 4 Suppose -120 = l - 3*l. Suppose 2*f - 2*n - 56 = 0, 2*f = -2*n - 0*n + l. Let b be (-1 - -112) + -10*3/(-6). Calculate the greatest common divisor of b and f. 29 Let b = 7 + 296. Let s = -156 + b. What is the highest common factor of s and 21? 21 Let y(a) = 4*a + 122. Let i be y(-22). What is the greatest common factor of i and 6? 2 Let v(j) = 2*j**2 - 22*j + 2. Let y be v(18). Suppose -39 = 5*o - y. Calculate the highest common divisor of 129 and o. 43 Suppose 2*m + 0*r = 2*r + 42, 74 = 4*m + r. Let i(x) = x**3 + 4*x**2 - 12*x + 19. Let w be i(-6). What is the greatest common divisor of w and m? 19 Suppose -5*m + 72 = -18. Let q(l) = -45*l. Let f be q(-5). Suppose b + f = 6*b. Calculate the greatest common factor of m and b. 9 Suppose -3*t - 50 = -5*z, -3*z - 11 = 2*t + 16. Let n = t + 18. Calculate the greatest common factor of n and 15. 3 Let m = -184 + 204. Calculate the highest common divisor of m and 25. 5 Suppose 3*y + 2*f = -104, -5*y - 127 = -y + 5*f. Let i = 7 - y. Calculate the highest common divisor of 75 and i. 15 Suppose 0 = -2*s + 3*s - 12. Let p = 12 - s. Suppose -2*b - 3*b + 490 = p. Calculate the greatest common factor of b and 14. 14 Suppose -4*f + 78 + 42 = 0. What is the highest common factor of f and 35? 5 Let r(z) = -84*z - 102. Let c be r(-7). What is the greatest common divisor of c and 2? 2 Suppose -9*u - 1949 = -8735. What is the greatest common factor of 26 and u? 26 Let i be 38 - (2/5)/(1/5). What is the greatest common factor of 324 and i? 36 Let v be ((-39)/(-5))/3 + 4/10. Let p be v/4 - 1608/(-32). What is the greatest common factor of 408 and p? 51 Let y = 203 + -194. What is the highest common divisor of 6 and y? 3 Let m(z) = -2*z**3 - 60*z**2 - 4*z - 113. Let b be m(-30). Calculate the greatest common factor of b and 7. 7 Suppose 2*g - 43 = -3*j, 4*j - 36 - 24 = -2*g. Calculate the highest common factor of 1717 and j. 17 Let q = -2433 + 3859. What is the greatest common divisor of q and 62? 62 Suppose -6*b - 23 - 49 = 0. Let h be b/(-14)*(-28)/(4/(-4)). Calculate the highest common factor of h and 216. 24 Let h = -1704 + 1873. What is the highest common factor of h and 1? 1 Let z(f) = -f**3 - 1 + 5 - 18*f**2 + 2*f**3 + 3*f**2 + 15*f. Let w be z(14). Let o be 48/4*w/8. Calculate the greatest common factor of o and 189. 27 Let j = 11 + -2. Let f = j - -8. Let y = f + 67. Calculate the highest common divisor of y and 21. 21 Suppose 51*d - 21609 = 14244. Calculate the highest common factor of d and 111. 37 Let y = 466 + -458. Calculate the highest common factor of 412 and y. 4 Suppose -6 = 2*w, -5*w + 11 = 3*b + 89. Let g be (-2)/(-6) + b/9. Let l = g - -6. What is the highest common divisor of 16 and l? 4 Suppose -9*w - 440 = -10*w + 4*q, w - q = 428. What is the highest common divisor of 53 and w? 53 Let u = -27 - -188. Suppose -51 + u = 5*v. Let i be 530/6 + (-1)/3. Calculate the highest common divisor of v and i. 22 Let g be 14/(-6)*(18 + -21). Let s = g - -65. Let f = 21 + -12. Calculate the greatest common divisor of s and f. 9 Let z be (-3)/(-1) + (6 - (4 + 1)). What is the greatest common divisor of 6 and z? 2 Let y(p) = 2*p + 8. Let x be y(5). Calculate the highest common factor of x and 126. 18 Let d be (-3)/(-2)*(31 - -17). Calculate the greatest common factor of d and 342. 18 Let s = 428 + -178. Cal
{ "pile_set_name": "DM Mathematics" }
u**2 + (1 - 1 - u**2)*(-u + 0*u + 4*u) to the form k*u**2 + v*u**3 + s*u + l and give v. 3 Rearrange -60 + 60 - 12*y to the form r + i*y and give i. -12 Express 215 - 93*u**2 - 215 as t + x*u**2 + m*u and give x. -93 Express -19*l**2 + 7*l**2 + 43*l**2 in the form c*l**2 + k + f*l and give c. 31 Express 365 + 40*d**2 - 365 in the form q*d**2 + y*d + w and give q. 40 Express (9 - 3*w**4 - 9)*(1 + 2 - 2) - w + 2*w**4 + w in the form r*w + b*w**3 + s + f*w**2 + j*w**4 and give r. 0 Rearrange (-6 + 2 + 2)*(5*t**3 + 2*t**3 - t**3) + 2*t**3 + 0*t + 0*t to n*t + m + a*t**3 + v*t**2 and give a. -10 Rearrange -g**3 + 3*g**3 + 3*g**3 - 2*g + (g**2 - 2*g**2 - 2*g**2)*(2*g + 0*g - 4*g) to f*g**3 + a + m*g**2 + l*g and give l. -2 Rearrange 34*h**2 - 22*h**2 - h + 17*h**2 to the form c*h**2 + q*h + l and give q. -1 Express -2472 + 2472 - 6*l**2 + 2*l as g + u*l + v*l**2 and give g. 0 Express -6*l - 12*l + 4*l in the form i*l + z and give i. -14 Express (x - 5*x - 3*x)*(-3 + 4 + 0) + (-1 + 6*x + 1)*(-6 + 4 + 0) in the form u + c*x and give c. -19 Express 81*d + 11*d - 32*d in the form k*d + b and give k. 60 Rearrange (-493*y**2 - 339 + 169 + 170)*(4*y - 4*y + 2*y) to the form l*y**3 + u*y + r + c*y**2 and give l. -986 Rearrange 4*c + c**3 - 2*c - 3*c**3 + 4*c**3 - c**2 to f + n*c**2 + w*c + v*c**3 and give v. 2 Rearrange (-296*j - 300*j + 429*j)*(0*j - 4*j + 5*j) to the form a + w*j**2 + r*j and give w. -167 Express -5*j**3 - 2*j + 4 + 3*j - 2*j**2 + 13*j**3 - j**4 - 5*j**3 in the form b + a*j + g*j**3 + f*j**2 + h*j**4 and give g. 3 Rearrange 4*h**3 - 5*h**3 + 2*h**2 + 16 + 13*h - 17 to the form q*h + s + r*h**3 + p*h**2 and give s. -1 Express -11*i**3 + 0 + 12 - 15 + 3*i in the form t + a*i + z*i**2 + r*i**3 and give t. -3 Rearrange 3 - s - 12 + 2*s**2 + 7 to w*s + v*s**2 + a and give w. -1 Rearrange 11*i**3 - i + 2*i**2 + i**3 - 15*i**3 + 5*i**3 to p*i**2 + x + u*i + a*i**3 and give a. 2 Express -d - 9 - 8 - 2*d**2 + 9 as h*d + t*d**2 + r and give t. -2 Express (3*h**2 - h**2 - 4*h**2)*(0 + 0 - h) - h**3 - h**3 + h**3 + 4*h**3 - 2*h**3 + h**3 + 2 - 2 - h**3 as f*h**3 + p*h**2 + m + l*h and give f. 3 Express 89*b - 89*b - 30*b**4 + (-3 + 0 + 4)*(-2*b**4 + 4*b**3 - 4*b**3) in the form v*b**3 + y + m*b**4 + a*b + l*b**2 and give a. 0 Rearrange -8 + 0 + 8 - 31*y to the form k*y + d and give k. -31 Express (2 - 1 + 2)*(-22 + 4 - 23)*(h + 2 - 2) as j*h + u and give j. -123 Rearrange -4 + 5*s**4 + s - 2*s**4 + s + 2 + 2*s**3 - 4*s**2 to the form m*s**3 + f*s**4 + r*s**2 + t*s + l and give f. 3 Rearrange -29*q**4 + q**3 + 3 - 3*q**2 + 27*q**4 + 3*q**2 - 2*q to w*q**3 + u*q**4 + j*q**2 + p + o*q and give u. -2 Rearrange (-24*v**3 + 5*v**3 - 8*v**3)*(1 - 1 + v) to x + w*v**4 + m*v**3 + j*v**2 + p*v and give w. -27 Rearrange (-3 - 2*r - 3*r + 7*r)*(-3*r**2 + 8*r**2 + 2*r**2) to z*r**3 + a*r**2 + v*r + c and give z. 14 Rearrange 3 - s - 9*s**3 + 6*s**3 - 4 + 0 to the form c + h*s**2 + r*s**3 + a*s and give a. -1 Express -2 + 2 - 27*f**2 + 6*f**2 in the form u*f + g*f**2 + r and give g. -21 Rearrange -9*h - 3*h - 2*h**3 + 5*h - 2 + 6*h**2 + 6*h to the form f + g*h + o*h**3 + c*h**2 and give g. -1 Rearrange -139*n - 33*n + 3*n + 25*n to the form m + h*n and give h. -144 Express -3*p**4 - 3*p**4 + 4*p**4 + (47 - 47 - 12*p**3)*(-4*p + 5*p + 0*p) as o*p**2 + w*p**4 + t + h*p + q*p**3 and give w. -14 Rearrange (2*o**2 - 2*o + 2*o)*(39*o + 31*o - 78*o) to r + v*o**2 + z*o + m*o**3 and give m. -16 Rearrange -27 + 27 + 4*y**3 - 2*y to g*y**3 + w + f*y + k*y**2 and give g. 4 Express -7*r - 2 + 3 - 2 - 4 in the form q*r + s and give q. -7 Express -10*u - 10 - 5 + 15 in the form f*u + h and give f. -10 Express -17*q**2 + 16*q - 2*q**3 - 36*q + 20*q as i*q + a*q**2 + d*q**3 + o and give a. -17 Express (1 - 4 + 0)*(9*b + 15 - 15) in the form u*b + t and give t. 0 Express (4 - 2 - 4)*(-5*t + 5*t - 2*t)*(1 - 3 + 3) as f + i*t and give i. 4 Express 11*f - 17*f - 2*f**2 - 5*f**3 + 5*f + 2*f in the form y*f**3 + b*f + j*f**2 + i and give y. -5 Rearrange 6 + 5 - 9*h - 11 to u*h + z and give u. -9 Rearrange -4*d - 11 + 2*d + 57 to the form s*d + p and give s. -2 Express -2*n**4 - 3 - 9*n**2 + 11*n**2 + 4 + 2*n + 16*n**3 - 3 as x + g*n + v*n**4 + m*n**2 + h*n**3 and give x. -2 Rearrange 604*f**2 + 604*f**2 - 1 - 1203*f**2 to the form n*f**2 + r + l*f and give n. 5 Rearrange 20*a**2 - 19*a**2 - a**3 - 5 + 0*a**3 to u*a**3 + p*a**2 + v + q*a and give u. -1 Rearrange (-4 + 45*f + 40*f - 81*f)*(2 - 1 + 0) to the form h*f + b and give h. 4 Rearrange (2 + 5 - 2)*(-6*o + 2*o + 2*o)*(1 + 1 + 1) to the form c + i*o and give c. 0 Rearrange 18*m - m + 3*m to j + b*m and give b. 20 Rearrange (2 - 2 + 2*l**3 + (1 + 2*l**2 - 1)*(6*l + l - 4*l))*(-2*l + 3*l - 5*l) to f*l**4 + u*l**3 + s*l**2 + w + h*l and give f. -32 Express -2*z**2 - z**3 - 9*z**2 - z**2 + 0*z**3 in the form b*z + a + p*z**2 + x*z**3 and give p. -12 Rearrange (28*t**2 - 10*t**2 + 12*t**2)*(-1 + t + 1)*(2*t - t - 2*t) - 3*t**4 + 6*t**4 - t**4 to the form a*t**4 + n*t**2 + o*t**3 + c*t + w and give a. -28 Rearrange (-l + 2*l + 2*l)*(-7 + 10 + 11) + 0 + 0 + 2*l to d + k*l and give k. 44 Rearrange (-3*b**2 + 3*b**2 + b**4)*((-4 - 1 + 2)*(2 - 1 - 3) - 7 + 0 - 3) to x*b**2 + w*b**4 + l*b**3 + h*b + y and give w. -4 Express 48*w + 47*w**2 - 48*w + (-w + w - w)*(2 - 2*w - 2) as q*w + t + n*w**2 and give n. 49 Express (0 + 6 - 3)*(8 - m**3 + 9 - 4) as s*m**2 + b*m + p*m**3 + h and give p. -3 Express (5 + 12 + 0)*(2*m - m + 6*m) as s + x*m and give x. 119 Rearrange (-6 - 20 + 3)*(f + 3*f - 5*f) to the form d*f + o and give d. 23 Express -6*g**3 - 2 + 6*g**3 + 2*g**4 + 5*g**3 in the form o + t*g + v*g**2 + u*g**3 + f*g**4 and give f. 2 Express -2*x - 68*x**2 + 79*x**2 + 2*x in the form k + d*x**2 + y*x and give d. 11 Rearrange 0*b + b + 7*b**2 - b to d + a*b**2 + p*b and give a. 7 Express 2*u + u + 0*u + (1 + 4 - 4)*(2*u - 4 + 4) + 5*u - 4*u + 5*u as q*u + w and give q. 11 Express -36*h - 5 + 3 + 2 in the form x + w*h and give w. -36 Rearrange -20*h**4 + 22 - 66 + 24 + h**2 + 22 to o + a*h**4 + c*h**2 + w*h**3 + l*h and give a. -20 Rearrange 11*p**2 + 0 - 8*p**2 + 10*p**2 - 2 to the form c*p**2 + t + i*p and give c. 13 Rearrange -3 + 2 + 0 + 4*n + 14*n**3 - 12*n**3 to the form u + g*n + c*n**2 + m*n**3 and give c. 0 Express -39 - 127*a + 39 in the form v*a + x and give v. -127 Express (3*s - 3*s - s)*(-2*s + 4*s - 4*s) + 0*s + 2*s**2 + 0*s - 3*s**2 - 4*s**2 + 6*s**2 - 10*s + 10*s + 7*s**2 as p + i*s + b*s**2 and give b. 10 Express (-x + x - x)*(0 + 4*x**3 + 0) + 0*x**3 + 2*x**4 + 3*x**3 - x**3 as q*x**3 + g*x**4 + u*x + v*x**2 + j and give q. 2 Rearrange 11 - 11 + 104*z**2 + 0 to the form k*z + d + r*z**2 and give k. 0 Rearrange 10 - 10 - 10*w to the form v*w + k and give v. -10 Rearrange 3 - 3 - 180*z + 132*z to the form l*z + n and give l. -48 Rearrange 1204 - 1208 + 4*g - 8*g**3 - 4*g to w + t*g**3 + f*g**2 + z*g and give z. 0 Rearrange -4*u**2 - 4*u**2 + 2*u**3 + 3*u**2 + 3 to the form o*u**3 + g + c*u**2 + w*u and give c. -5 Express 3*w**4 + 7*w - 3*w**4 - 2*w**3 + 2*w**4 + 0*w**4 as a*w**3 + j + f*w**2 + v*w + r*w**4 and give v. 7 Express -5*t**2 + 2*t**2 + 12*t**2 as k + a*t + m*t**2 and give k. 0 Express -3*k**3 + 2*k**2 + 25*k - 53*k + 29*k in the form c*k + b*k**2 + d*k**3 + q and give c. 1 Express 32*c + 37*c - 18*c as x + y*c and give y. 51 Rearrange -6*h + h**4 + 2*h**3 + 3 + 5*h + 0*h**4 + 2*h**2 to the form o*h**2 + a*h**4 + c*h + q*h**3 + j and give j. 3 Express -3*t - 2 + 2 + t - 5*t + 2*t + (3 - 2*t - 3)*(-3 + 1 + 3) as d*t + m and give d. -7 Rearrange 2*f**3 - 79*f**2 + 79*f**2 + 7*f to p*f**2 + h*f + j + w*f**3 and give j. 0 Express (0*z - z + 6*z)*(-4 - 3 + 6)*(1 - 2 + 2)*(-3 + 5 + 2)*(4*z**3 - 4*z**3 - 2*z**3) as f*z + r + v*z**3 + u*z**2 + k*z**4 and give k. 40 Express -2 - 1 + 2*h - 2 - h + h - 4*h - 3*h + 2*h + 0*h + (3 - 3 + 2)*(3*h - h + 0*h) as a*h + y and give y. -5 Express -3*f - 16*f**4 + 5*f - 2*f**2 + 15*f**4 - 6 in the form n + l*f + i*f**2 + u*f**4 + q*f**3 and give i. -2 Rearrange -4*p + 17*p**2 - 9*p**2 - 7*p**2 to the form d + r*p**2 + s*p and give r. 1 Express 11*o - 6 + 6 + (-2*o - 4*o + 0*o)*(-4 + 1 + 1) as q*o + f and give f. 0 Express 12*y - 18*y - 24*y as q*y + h and give q. -30 Rearrange -3 - 2*a
{ "pile_set_name": "DM Mathematics" }
uppose 0 = t + z + z + 6, 2*t + 5*z + 15 = 0. Suppose t = 5*i - 6 + 1. What is the greatest common divisor of i and 7? 1 Let y be (-2)/8 + 2/8. Suppose 0 = -y*v - 3*v + 6. Let i be ((-4)/5)/(2/(-40)). What is the highest common divisor of i and v? 2 Suppose -4*x = v - 10, -x + 15 + 4 = 3*v. Suppose -5 - 15 = -5*g. Let r be (1 + -13)*g/(-12). What is the greatest common divisor of r and v? 2 Let u(f) = 32*f**3 - 2*f**2 + 1. Let g be u(-1). Let k be (-12)/(-1*(-6)/g). What is the highest common divisor of k and 11? 11 Let t = 17 - -34. What is the highest common factor of t and 34? 17 Suppose -5*v + 85 = -s, -4*v - 4*s + 6*s = -74. What is the greatest common factor of v and 8? 8 Let h be (-5 - -2) + (31 - 0). Suppose -2*p = 3*j - 19, 0 = p + 3*j - 4 - 1. Calculate the highest common divisor of h and p. 14 Let b(o) = -o**2 - o + 168. Let w be b(0). Let n = w + -109. Let a = n + -32. Calculate the highest common factor of 9 and a. 9 Let j(k) = 4*k - 1. Suppose 4*h - 1 = 11. Let q be j(h). Calculate the highest common factor of 11 and q. 11 Let o be 4 + 4/((-4)/(-9)). Suppose 3*z - 8 - 358 = 5*a, a = -2*z + 231. What is the greatest common divisor of z and o? 13 Suppose -2*c + 3*c - 4 = 0. Suppose 0*p = c*p, -p = -z + 60. What is the greatest common factor of z and 24? 12 Let a(s) = s**2 - 11*s + 9. Let c be a(11). What is the greatest common divisor of c and 6? 3 Suppose 0 = -2*m - 6 - 0, 3*h - 4*m - 306 = 0. Suppose 5*q + 13 = h. Calculate the greatest common factor of 187 and q. 17 Let t be ((-20)/(-3))/((-2)/6). Let q be (10/3 - 2)/((-2)/30). Let i be q/1*24/t. Calculate the highest common factor of 8 and i. 8 Suppose -k - v = -0*k - 84, -332 = -4*k - 5*v. Calculate the highest common factor of k and 22. 22 Let v(i) = -i**3 + 2*i**2 + 5. Let g be v(0). Calculate the greatest common factor of g and 1. 1 Suppose -30 = -6*b + 3*b. Let t(d) = d**3 - 11*d**2 + 11*d - 4. Let m be t(b). Suppose 3*o - m*o + 18 = 0. What is the greatest common divisor of 2 and o? 2 Let x be 0 + 1 + 22/2. Suppose -19 - 1 = -4*k - j, -3*k + 3*j = 0. Suppose 39 = k*o + 7. What is the highest common factor of x and o? 4 Let b = 126 + -88. Let a = 59 - b. What is the greatest common divisor of a and 42? 21 Suppose 236 = 7*o + 26. Calculate the highest common factor of 15 and o. 15 Suppose 5*s - r - 12 = -4*r, 4*s + 8 = 2*r. Let w(p) = -p + p**3 + p - 4 + s*p + 5*p**2 + p. Let c be w(-4). Calculate the greatest common factor of c and 56. 8 Suppose -2*r = -12 + 30. Let l be (5 + -3)*r/(-1). What is the highest common divisor of l and 12? 6 Let v = 65 + 214. What is the greatest common divisor of v and 31? 31 Suppose y - 9 = -2*y. Let k(o) = -o**2 - 5*o + 4. Let m be k(-5). Suppose 7 = 5*f - m*f - j, -y*j = -f - 3. What is the highest common factor of f and 6? 6 Let i = 47 - 25. What is the highest common divisor of i and 88? 22 Let h(i) = 4*i**3 - 4*i**2 + 2*i. Suppose -5*n + 4 = -6. Let k be h(n). Calculate the highest common divisor of 20 and k. 20 Suppose 9*g = 18*g - 630. Calculate the greatest common factor of 20 and g. 10 Let j(c) = c**3 + 11*c**2 - 7*c - 7. Let v be j(-11). Let i = 43 + -15. What is the greatest common factor of v and i? 14 Let j(b) = 11*b. Let x be j(3). Calculate the highest common divisor of 11 and x. 11 Let p(y) = -y**2 + 8*y - 5. Let z be p(7). Suppose 3 - 9 = -z*d. Calculate the highest common divisor of 12 and d. 3 Suppose -83 = -2*g + 5. Calculate the highest common divisor of 11 and g. 11 Let x = -1929 - -1205. Let m be x/(-6) + (-1)/(-3). Suppose y + 46 = 4*k, 2*k + 2*y - 3*y = 24. Calculate the highest common divisor of k and m. 11 Let x be (-115)/(-25) - 2/(-5). Let h(m) = 2*m**3 - 7*m**2 - 2*m - 1. Let n be h(x). Calculate the highest common factor of n and 8. 8 Let c = -2 - -1. Let t(k) = 52*k. Let d be t(c). Let v = d + 84. Calculate the highest common divisor of v and 8. 8 Suppose 3*a = -3*w + w + 29, -20 = -5*w + 3*a. Suppose 0 = -2*n + 29 - w. Let r be -6*(1*22)/(-2). Calculate the highest common divisor of n and r. 11 Let z = 80 - 0. Suppose 0 = -3*p + 26 + 22. Calculate the greatest common factor of z and p. 16 Let f = 42 - 6. Calculate the highest common factor of 54 and f. 18 Let n(z) = z**2 + 6*z + 10. Let p be n(-4). Calculate the greatest common factor of p and 3. 1 Let n = 202 + -133. What is the highest common divisor of n and 23? 23 Let w be (-78)/(-9) - 1/(-3). Calculate the highest common divisor of w and 72. 9 Let i(a) = a**2 - 7*a + 7. Let t = 11 + -5. Let s be i(t). What is the greatest common factor of s and 1? 1 Let a = 20 + -7. What is the greatest common factor of 143 and a? 13 Suppose -153 = -3*d + 3*h, -5*d + 5*h = 4*h - 251. Calculate the highest common factor of d and 20. 10 Suppose -11 - 1 = -2*o. What is the highest common divisor of 30 and o? 6 Suppose -7*k = 5*x - 3*k - 34, 0 = 4*x - 4*k - 56. Let m(l) = l**3 - 6*l**2 + 8*l - 5. Let i be m(5). What is the greatest common divisor of i and x? 10 Suppose -p + 9 = 2. Suppose 3*n = -2*n + 140. Suppose -n = -l - 3*l. What is the highest common divisor of p and l? 7 Let n = -1 - -1. Let j be 1 - (3 + n + -3). Let m be (-60)/(-14) - 4/14. What is the highest common factor of m and j? 1 Let l be 47 - ((1 - -4) + -2). What is the highest common factor of l and 66? 22 Let a be (-44)/(-2) - 1/1. Calculate the greatest common factor of 14 and a. 7 Let i be 2/5 - 464/(-40). Let c(f) = f**2 - 6*f + 3. Let w be c(6). Calculate the greatest common divisor of i and w. 3 Suppose 9 = -3*u - 4*n + n, 5*u = -3*n - 5. Calculate the greatest common divisor of 8 and u. 2 Suppose 3*l = 5*l - 8. Suppose 27 = 4*s + 7. Suppose 0 = -s*d + d - 3*n + 97, 89 = 3*d - n. Calculate the highest common divisor of l and d. 4 Let h(g) = -2*g - 1. Let c be h(-2). Let i be 6/2*2/c. Calculate the highest common divisor of 22 and i. 2 Let i = -31 - -45. Let o = i + -12. What is the greatest common divisor of o and 10? 2 Let t(a) = a + 25. Let f be t(10). Suppose -4*j + 7 = -g - 6*j, -g = -3*j + 7. Let v be (0 + g)*(0 + -1). What is the greatest common factor of v and f? 7 Let j be (-838)/(-7) + (-2)/(-7). Let h = j - 65. Suppose -4*r + 18 = -2*x - 64, 4*r - 79 = 3*x. What is the greatest common divisor of h and r? 11 Let y be 1/(-2) + (-25)/(-10). Let i be ((-8)/y)/(-3 - -1). Let m = 14 + -8. What is the greatest common divisor of i and m? 2 Let x = 4 + -2. Let u(z) = 71*z**2 + 3*z - 2. Let j be u(x). What is the greatest common factor of j and 32? 32 Let h = 24 + -12. Calculate the greatest common divisor of h and 108. 12 Suppose 30*z = 27*z + 36. What is the greatest common factor of 3 and z? 3 Let m(s) = s**3 - 2*s**2 + 2*s - 6. Let h be m(3). Calculate the greatest common factor of 45 and h. 9 Let b(f) = f**3 - 5*f**2 + 5*f + 2. Suppose 4*o - 7 = 4*w + 3*o, -1 = o. Let v be ((-8)/3)/(w/3). Let h be b(v). What is the highest common divisor of h and 12? 6 Let s(h) = h + 11. Let z be s(-9). Let w be ((-2)/(-1))/(12/(-18)). Let r be z/(-6)*w + 1. Calculate the greatest common factor of r and 2. 2 Let j = 2 + 0. What is the highest common factor of 14 and j? 2 Let y = -25 + 35. Calculate the highest common factor of y and 2. 2 Let c(j) = -6*j + 1. Let k be c(-1). Suppose 1 + 6 = g. What is the greatest common divisor of g and k? 7 Suppose -18*j = -22*j + 252. What is the greatest common divisor of 9 and j? 9 Suppose -w + 56 = 3*w. Let m be 339/6 + 1/(-2). Calculate the highest common factor of m and w. 14 Let x = -94 + 134. Calculate the highest common factor of 100 and x. 20 Let g = 9 - 6. Let u(t) = -t**2 - 9*t + 3. Let i be u(-6). Calculate the greatest common factor of i and g. 3 Suppose 5*f - 19 = y + y, 4*y = -5*f + 37. Suppose 0 = -y*m - 0 + 12. What is the highest common factor of 2 and m? 2 Suppose 4*t + 0*t - 80 = 0. Suppose -2*x - x + 27 = 5*k, -5*k - 4*x = -31. Suppose h - t = -k*h. Calculate the highest common factor of h and 40. 5 Let q = -32 - -60. Calculate the highest common factor of q and 4. 4 Let a be (7 - 8)*(1 + -33). What is the greatest common divisor of 4 and a? 4 Suppose -y = -5*y + 60. Let w be (-4)/6*(-9 - 171). Calculate the highest common factor of w and y. 15 Suppose 4*o - 68 = 4*k, k + 3*o + 1 = -0*o. Let r = k + 31. Let i be (r/(-6))/(6/(-26)). What is the greatest
{ "pile_set_name": "DM Mathematics" }
1/66 What is prob of sequence uk when two letters picked without replacement from ckuca? 1/20 Three letters picked without replacement from {x: 1, q: 1, o: 2, m: 2}. Give prob of sequence mmx. 1/60 Calculate prob of sequence fffp when four letters picked without replacement from {f: 3, p: 9}. 1/220 Two letters picked without replacement from ccccccccvcccccccvc. What is prob of sequence cc? 40/51 What is prob of sequence fo when two letters picked without replacement from oumxlmf? 1/42 Calculate prob of sequence uc when two letters picked without replacement from {c: 2, u: 4, v: 4, q: 2}. 2/33 Calculate prob of sequence llz when three letters picked without replacement from zlezkllzelzlkkek. 1/42 Calculate prob of sequence jr when two letters picked without replacement from jjroj. 3/20 Three letters picked without replacement from sshsshhhsshssszhk. Give prob of sequence zks. 3/1360 What is prob of sequence dpq when three letters picked without replacement from pqlllpddlldlllqldd? 5/1224 What is prob of sequence eeqw when four letters picked without replacement from {w: 2, e: 2, q: 4}? 1/105 What is prob of sequence zzz when three letters picked without replacement from {z: 4}? 1 Two letters picked without replacement from tttuntmunu. What is prob of sequence mn? 1/45 Four letters picked without replacement from {w: 1, o: 1, t: 5, j: 2, b: 5, c: 2}. What is prob of sequence cbbt? 5/1092 Calculate prob of sequence gxm when three letters picked without replacement from ggmmgjxjqij. 1/165 Calculate prob of sequence hj when two letters picked without replacement from {f: 2, w: 1, j: 1, l: 8, h: 4}. 1/60 What is prob of sequence qsqe when four letters picked without replacement from sssssqqqqqqsgseqss? 7/1360 Three letters picked without replacement from {b: 1, l: 1, f: 3, u: 2, z: 4, a: 1}. Give prob of sequence abf. 1/440 Four letters picked without replacement from xoorhlxlxrrxxorjlx. What is prob of sequence jrhl? 1/6120 Calculate prob of sequence xkn when three letters picked without replacement from knkkxxk. 4/105 What is prob of sequence pp when two letters picked without replacement from {x: 8, j: 5, p: 4}? 3/68 What is prob of sequence ykyw when four letters picked without replacement from wwywwywwkw? 1/360 Two letters picked without replacement from ivuvivvutttvtvbtttv. Give prob of sequence uv. 7/171 Calculate prob of sequence wttt when four letters picked without replacement from {t: 3, w: 3}. 1/20 Four letters picked without replacement from aakwwkawkawwka. What is prob of sequence awaa? 25/2002 Two letters picked without replacement from {n: 1, f: 2, a: 1, o: 3, h: 3}. Give prob of sequence ao. 1/30 Four letters picked without replacement from {n: 9, d: 2, j: 6}. What is prob of sequence njnj? 9/238 What is prob of sequence gcj when three letters picked without replacement from gcjoggocmgjl? 2/165 What is prob of sequence rky when three letters picked without replacement from {g: 1, q: 4, r: 1, k: 1, y: 6}? 1/286 Three letters picked without replacement from liddfiflpisp. Give prob of sequence ppd. 1/330 What is prob of sequence jon when three letters picked without replacement from njnnnjnjjjo? 5/198 Two letters picked without replacement from {c: 2, g: 8}. Give prob of sequence gc. 8/45 Three letters picked without replacement from {l: 1, b: 2, w: 1, g: 1, m: 1, f: 1}. What is prob of sequence gfm? 1/210 Four letters picked without replacement from zeeeezezzmzzeeezzzzz. Give prob of sequence mzzz. 11/1292 What is prob of sequence hhnu when four letters picked without replacement from hnvhvvupvvvhv? 1/2860 Two letters picked without replacement from {s: 1, x: 3, y: 5, j: 1}. What is prob of sequence yy? 2/9 Three letters picked without replacement from {t: 1, f: 2, y: 1, d: 3}. Give prob of sequence ydf. 1/35 Three letters picked without replacement from dbbdhdbdbddhbrdhdbd. Give prob of sequence rhd. 3/646 Two letters picked without replacement from gslstsssssswwsswsl. What is prob of sequence gw? 1/102 Calculate prob of sequence wgk when three letters picked without replacement from yyywakaaghkkyagywaaa. 1/570 Two letters picked without replacement from {f: 2, z: 2, o: 2, g: 1, c: 1, b: 1}. What is prob of sequence bg? 1/72 Three letters picked without replacement from vvvvvvvvvvvvvvddvvv. What is prob of sequence vdd? 1/171 Three letters picked without replacement from {e: 1, i: 3, r: 3, a: 1, v: 3, x: 3}. Give prob of sequence iai. 1/364 Two letters picked without replacement from {g: 2, c: 1, b: 1, w: 1}. What is prob of sequence wc? 1/20 Two letters picked without replacement from qfqlqfsqclffqlqql. Give prob of sequence fs. 1/68 Two letters picked without replacement from {b: 2, j: 1}. Give prob of sequence jb. 1/3 Three letters picked without replacement from tsr. Give prob of sequence srt. 1/6 Two letters picked without replacement from {q: 3, l: 8, k: 1, w: 5, i: 3}. What is prob of sequence il? 6/95 Three letters picked without replacement from qhqhhqquq. What is prob of sequence uhq? 5/168 Calculate prob of sequence obb when three letters picked without replacement from qqoqbbbbbqqooqbqbq. 7/272 Calculate prob of sequence um when two letters picked without replacement from {m: 5, u: 5}. 5/18 Two letters picked without replacement from wgglgygrwllmlwwgw. Give prob of sequence yl. 1/68 What is prob of sequence mbf when three letters picked without replacement from {m: 1, b: 1, f: 2}? 1/12 What is prob of sequence az when two letters picked without replacement from {z: 7, a: 9}? 21/80 Calculate prob of sequence rkrr when four letters picked without replacement from rrkrkrrrrrrrrrrkrrrr. 2/19 What is prob of sequence yz when two letters picked without replacement from {y: 1, z: 2, b: 1, l: 1}? 1/10 Calculate prob of sequence xt when two letters picked without replacement from {t: 3, y: 1, a: 1, k: 1, x: 3, u: 2}. 9/110 Three letters picked without replacement from {x: 5, k: 1, s: 4, o: 5}. What is prob of sequence oss? 2/91 Calculate prob of sequence ttj when three letters picked without replacement from {t: 5, v: 1, j: 14}. 7/171 What is prob of sequence bj when two letters picked without replacement from {r: 1, b: 1, v: 3, j: 2}? 1/21 Two letters picked without replacement from gjgjgggggg. What is prob of sequence jj? 1/45 Two letters picked without replacement from ciiiccciuiucicucic. What is prob of sequence ci? 28/153 Three letters picked without replacement from thht. Give prob of sequence hht. 1/6 What is prob of sequence grd when three letters picked without replacement from {j: 2, r: 1, d: 3, b: 2, g: 6, o: 4}? 1/272 Two letters picked without replacement from {v: 12, w: 6}. Give prob of sequence wv. 4/17 What is prob of sequence cdut when four letters picked without replacement from untntcnctptd? 1/1485 Two letters picked without replacement from {t: 15, b: 3}. Give prob of sequence tt. 35/51 Four letters picked without replacement from sssstsssssssstsssss. What is prob of sequence stts? 1/171 Calculate prob of sequence xouu when four letters picked without replacement from xkxukxkokkuxdkkuu. 1/1190 Two letters picked without replacement from mmtmtt. Give prob of sequence tt. 1/5 Four letters picked without replacement from ffffffffff. What is prob of sequence ffff? 1 Calculate prob of sequence ppk when three letters picked without replacement from {t: 4, p: 7, k: 2, b: 1, j: 4}. 7/408 Four letters picked without replacement from gvgggvgv. What is prob of sequence ggvg? 3/28 Calculate prob of sequence kykl when four letters picked without replacement from ksllcklakkyl. 2/495 Calculate prob of sequence php when three letters picked without replacement from hhhphp. 1/15 What is prob of sequence gii when three letters picked without replacement from iqqqqhjqqqqqiqqqgqq? 1/2907 What is prob of sequence iii when three letters picked without replacement from {i: 4, r: 3, k: 1, z: 5, q: 1}? 1/91 What is prob of sequence ssds when four letters picked without replacement from sssssssdsdsssssssss? 5/57 Four letters picked without replacement from {s: 1, r: 3, v: 1}. Give prob of sequence vssr. 0 What is prob of sequence kzs when three letters picked without replacement from {z: 1, w: 1, k: 8, p: 1, s: 2, l: 1}? 2/273 Two
{ "pile_set_name": "DM Mathematics" }
Calculate the highest common divisor of 1045 and x. 55 Let j = 13 - 8. Let z = j + 9. Let u = 8610 + -8568. Calculate the greatest common divisor of u and z. 14 Let g(l) = -l**3 + 9*l**2 + 11*l + 11. Let v be g(10). Suppose -v*t - 142 = -457. Let u be (-4 + 1)/3 - -6. What is the greatest common divisor of u and t? 5 Let j = -43 + 103. Let v be (112/(-10))/(-30*70/39375). Calculate the highest common divisor of j and v. 30 Let m be (-5)/20 - (-13350)/(-40). Let b = 338 + m. What is the greatest common factor of b and 8? 4 Suppose 235 + 425 = -30*q. Suppose -2*w = p - 0*w + 30, 2*w - 72 = 2*p. Let x = q - p. What is the highest common divisor of 48 and x? 12 Suppose f + 8*p - 4*p - 11 = 0, -f - 5*p + 14 = 0. Let m(k) = 163*k**2 + 6*k - 1. Let b be m(f). Calculate the greatest common divisor of 12 and b. 12 Let x(l) = l**2 + 18*l - 9834. Let f be x(-159). Calculate the greatest common divisor of f and 15. 15 Let v(f) = 24*f - 7. Let r be v(-5). Let l be -1063*(-8)/40 - 3/5. Let c = l + r. Calculate the highest common divisor of 34 and c. 17 Let b = -369 - -402. Suppose b - 878 = -13*v. What is the greatest common divisor of v and 260? 65 Let o = 10734 + 480. Calculate the highest common factor of 18 and o. 18 Suppose -1992 = -3*z - 0*z. Suppose 491*r - 1834 = 2094. What is the greatest common divisor of r and z? 8 Suppose 42 = 5*o - 28. Let h be (((-7770)/(-4))/(-5))/(15/(-20)). Calculate the greatest common divisor of o and h. 14 Suppose -240*h = 3*l - 236*h - 14672, 9783 = 2*l + 3*h. What is the greatest common divisor of l and 528? 132 Suppose y - 3*t - 3 = 0, -4*t = 2*y - 127 + 111. What is the greatest common divisor of y and 9036? 6 Suppose -25 = -4*a - a. Let h = 3015 - 3015. Suppose -a*p + 5*y + 160 = h, -y = -4*p + 4*y + 133. Calculate the highest common factor of p and 9. 9 Suppose 132*p + 48 = 135*p. Suppose 25*x - 648 = p*x. Calculate the highest common factor of 198 and x. 18 Suppose 68728 = -224*f + 268*f. What is the greatest common divisor of 142 and f? 142 Let p be 18 - ((-1)/(-8) - 3948/(-672)). Let f(u) = 109*u + 8. Let g be f(4). What is the greatest common factor of g and p? 12 Let n = -325 - -334. Suppose 2*a - n = -3*z, -5*a + z = -z - 32. What is the greatest common factor of a and 32? 2 Suppose 9*t = -5*z + 11*t + 3131, 3*z - t = 1878. Let k = 751 - z. What is the greatest common factor of k and 462? 42 Let j be 172*185*2/40. Suppose 0 = -2*i + i + 2*z + 37, 4*i + 4*z = 148. Calculate the greatest common factor of i and j. 37 Suppose -77*p - 800 = -157*p. Suppose 0*u - 5*u + 15 = 0. Let r be (u*1)/(18/660). Calculate the greatest common divisor of p and r. 10 Suppose -404 = -4*t - 2*k, 5 + 3 = -4*k. Let j(g) = -33*g + 134. Let s be j(2). What is the highest common factor of s and t? 34 Let u = -2714 - -5179. What is the highest common divisor of u and 170? 85 Suppose -7*f + 21 = -0*f. Suppose -673 = -f*v + 4*r - 0*r, -3*v + 674 = -5*r. Suppose -19 = 3*y - v. What is the greatest common factor of y and 170? 34 Suppose 17*c + 5*m = 21*c - 231, -m = 2*c - 105. Calculate the greatest common divisor of 54 and c. 54 Let s be ((-6)/(-24))/((-3)/4) - 4715/(-69). Calculate the highest common factor of 1717 and s. 17 Let x be 18/21 + 30*472/42. Let r = 408 - x. What is the greatest common factor of r and 160? 10 Let d(k) = k**3 + k**2 + 3*k - 1156. Let w be d(0). Let o = w + 1639. What is the highest common factor of 21 and o? 21 Suppose 13*b + 0*b + 30525 = 46*b. What is the greatest common divisor of b and 100? 25 Suppose -39*h = -71 - 241. Let l = -88 - -124. Calculate the highest common divisor of h and l. 4 Let n = -12 + 23. Suppose -n = -5*s - 1. Let m = -5354 + 5370. Calculate the highest common factor of m and s. 2 Let w be ((-304)/114)/(32/(-60)). Calculate the greatest common divisor of w and 3265. 5 Let y(w) be the first derivative of w**2 - w - 59. Let v be y(8). Calculate the highest common divisor of 195 and v. 15 Suppose -3*g - 2*h + 606 + 710 = 0, 3*h + 457 = g. Calculate the greatest common factor of g and 170. 34 Suppose 0 = -4*n - 282 + 318. Suppose -6*u - 3*l - 102 = -n*u, -3*l + 26 = u. What is the greatest common factor of 224 and u? 32 Let j(m) = 27*m - 7. Suppose 9*c - 63 = -18. Let d be j(c). What is the greatest common factor of d and 32? 32 Let o be (5/(-4))/(369/(-554976)). What is the highest common divisor of 920 and o? 40 Let l(c) = -5*c - 42. Let s be l(-9). Suppose -5*o + 397 = s*d - 44, 0 = 3*o - 4*d - 282. Calculate the highest common divisor of o and 54. 18 Suppose 0 = -6*r - 66*r + 11082 + 2454. Calculate the highest common factor of 1598 and r. 94 Let r(y) = -y**3 - 11*y**2 + 27*y + 17. Let p be (-364)/(-28)*1/(-1). Let l be r(p). Calculate the greatest common divisor of 116 and l. 4 Suppose -109*d + 78099 - 51696 = -75621. Calculate the highest common factor of d and 1368. 72 Suppose 3*j = -600*q + 598*q + 1573, -5*q = 3*j - 1561. What is the greatest common factor of j and 187? 17 Let f = -57159 - -57162. Let l be ((-6)/(-9))/((-2)/(-33)). Calculate the greatest common divisor of f and l. 1 Let l = 222 + -213. Let k(y) = y + 24. Let x be k(-28). Let a = 13 + x. Calculate the greatest common divisor of a and l. 9 Suppose 23*b - 846 = -10*b + 2784. Let v(t) = t**2 + 2*t + 2 - 4 + 0*t**2. Let o be v(4). What is the greatest common factor of b and o? 22 Suppose -12*q - 51989 + 76982 + 83475 = 0. Calculate the greatest common divisor of 138 and q. 69 Let f = 17064 + -15347. Calculate the greatest common factor of 707 and f. 101 Let c(l) = -55*l + 55. Let d be c(4). Let j = -157 - d. Calculate the highest common divisor of j and 128. 8 Let a be (-2)/(((-4)/(-52))/(-1)). Let s = 1776 + -1750. What is the greatest common factor of s and a? 26 Let g(f) = f**3 - 9*f**2 - 10*f + 5. Let n be g(10). Suppose -c - n*l = -56, 5*l + 160 = 7*c - 2*c. What is the highest common divisor of 27 and c? 9 Suppose 16*t + t - 125 = 12*t. Calculate the highest common divisor of t and 2075. 25 Suppose 1 = 3*m - 5. Suppose 0 = -5*y + 36 - 21. Let t be y/2 - 15/(-30). Calculate the highest common factor of m and t. 2 Let g = -6 - -16. Suppose 0 = -3*r - 5*u + 4*u - 1, -r - 7 = -3*u. Let f(x) = 26*x**2 + 8*x + 7. Let c be f(r). Calculate the highest common divisor of g and c. 5 Let t be -7 + 5/(-20)*0 + 6 - -22184. Calculate the greatest common factor of t and 7. 7 Let r be (179664/88)/3 + (-12)/22. Calculate the greatest common factor of r and 85. 85 Suppose 4*s = -v + 379 - 75, -2*v = -3*s - 652. What is the highest common factor of 100 and v? 20 Let u = 215 + -205. Let w(z) = 6*z**2 - 41*z - 14. Let n be w(u). What is the highest common divisor of n and 88? 88 Let u = -17363 + 17383. Calculate the greatest common factor of u and 1650. 10 Let x be 158/22 + 10/(-55). Suppose -20*u + 126 = -19*u. Suppose -6*z + 0*z = -u. What is the greatest common factor of x and z? 7 Suppose -s - v - 428 + 460 = 0, -5*s - 3*v = -170. Let n(o) = -22*o + 1. Let m be n(-5). What is the greatest common factor of m and s? 37 Suppose -2*b = -2, 5*b = p - 3*p - 149. Let j = p + 220. What is the greatest common divisor of j and 26? 13 Let b be 2/14 + 16/(-14). Let q(l) = l - 8. Let c be q(9). Let k be b*738*c/(-2). Calculate the greatest common factor of 41 and k. 41 Suppose 4*g - 134 = -3*s, g = -s - 3*g + 50. Let u = -31 + s. Let z(x) = 119*x - 9. Let w be z(1). What is the greatest common divisor of w and u? 11 Let n = 37067 + -36934. Calculate the greatest common factor of n and 4313. 19 Let n(q) = 27*q**2 + 7*q - 5. Let c be n(-4). Let w = -335 + c. What is the greatest common factor of 320 and w? 64 Let x(r) = 5*r + 21. Let n be ((-2)/(-2))/(-11 - -10 - 0). Let c be x(n). Calculate the highest common factor of 72 and c. 8 Let v = -62 + 234. Suppose 2*a - 3*a + r = -v, 0 = a + 4*r - 177. Suppose 5*u + a = 998. What is the greatest common divisor of u and 66? 33 Let w = -609 + 1011. Suppose w = -20*d + 26*d. Suppose 0 = -9*f + d - 13. Calculate the highest common factor of 21 and f. 3 Let c(p) = 39*p - 1012. Let g be c(38). What is the highest common divisor of g and 4042? 94 Let y be 2/(-16) + 52/416. Suppose y = 92*h - 94*h + 72. Calculate the highest common factor of 102 and h. 6 Let v = -169 + 186. Suppose 0 = 6*y - v*y + 418. Wha
{ "pile_set_name": "DM Mathematics" }
*x + 4*x + 114. What is the greatest common factor of x and 152? 19 Suppose 0 = 5*h + 5*b - 850, -4*h = -2*h + 4*b - 344. Suppose -2*r = 3 - 17. Let l be 149/r - (-8)/(-28). Calculate the highest common divisor of h and l. 21 Suppose -2*t = 2*w - 3930, -3*w - 81*t = -76*t - 5903. What is the highest common factor of w and 148? 37 Suppose 16*q + 53 = 4*o + 17*q, 54 = 4*o + 2*q. Let l be ((-17920)/(-15))/4 + (-2)/(-6). Calculate the highest common factor of o and l. 13 Let t = 10662 + -10577. Calculate the greatest common divisor of t and 1751. 17 Let t be 11050/(-14) + 46/161. Let s = -782 - t. Calculate the greatest common divisor of 91 and s. 7 Let x(a) = -a**2 - 97*a - 777. Let f be x(-9). What is the greatest common factor of 3345 and f? 15 Let u be (18/(-4))/((-156)/104). Suppose 81 = u*s - 216. What is the highest common factor of s and 132? 33 Suppose -g - 5*d = -6, 5*g + 5*d = 2*d + 162. What is the highest common factor of g and 816? 12 Let k = 418 + -413. Suppose k*o - 8*o + 207 = 0. What is the highest common divisor of o and 23? 23 Let m be 3/(-60)*-4 - 1094/(-5). Let f = -185 + m. What is the greatest common divisor of 323 and f? 17 Suppose 0 = -5*q - q + 24. Let v be ((-4)/10 + q)*-5. Let n = 20 + v. Calculate the highest common divisor of n and 6. 2 Suppose -42*j + 31*j - 1125 = -26*j. Let z be (2/(-4))/((-1)/60). Calculate the highest common factor of j and z. 15 Let p(v) = -9*v - 16. Let k(a) = -8*a - 16. Let r(m) = -4*k(m) + 3*p(m). Let d be r(-5). Let y = 0 - d. What is the highest common factor of y and 36? 9 Let c = 6992 - 6191. Calculate the highest common factor of c and 18. 9 Let c(a) = -2*a**3 - 28*a**2 + 3*a + 20. Let j(s) = 2. Let o(w) = -c(w) - 4*j(w). Let l be o(-14). What is the highest common divisor of 1246 and l? 14 Let q = 9446 + -8409. Calculate the highest common divisor of 221 and q. 17 Suppose 3*p = -4*b + 73, 3*p + 0*p + 5*b = 68. Let d = -1 + p. Calculate the highest common factor of 135 and d. 15 Let z = -6522 - -6922. Let q(h) = h**2 + 2*h + 1. Let d be q(4). What is the greatest common divisor of z and d? 25 Suppose -3*k + 259 = 262, -25938 = -5*u + 3*k. Calculate the highest common factor of u and 78. 39 Let p(n) = n**2 - 2418*n + 24085. Let h be p(10). Calculate the highest common divisor of 6035 and h. 5 Suppose -200*j + 899 = -1501. Suppose -5*u + 8 = -3*u, -c = u - 24. What is the highest common factor of c and j? 4 Suppose -603 = -3*w - s, 5*w + s = 48 + 959. Let y = w + -167. What is the greatest common factor of y and 10? 5 Let x be 325/6 + ((-34)/96 - 648/(-3456)). What is the greatest common factor of 17307 and x? 27 Suppose 3*j = 3*r + 819, -r + 511 = 2*j - 44. What is the highest common divisor of j and 115? 23 Let y(n) = -5*n**3 - 5*n**2 - 3*n + 3. Let o(q) = 3*q**2 + 14*q + 13. Let g be o(-2). Let p be y(g). What is the highest common divisor of p and 30? 6 Let k be (-1 - -4)/((44/140)/11). What is the greatest common divisor of k and 1185? 15 Let p be ((-168)/(-4))/(-7)*460/(-30). Suppose 5 - 25 = -5*t. What is the greatest common divisor of t and p? 4 Let j(b) = -b**2 - 116*b - 2953. Let z be j(-78). What is the highest common factor of 737 and z? 11 Let k be (65/(-39))/(190/96 - 2). Let n be 12*(-5)/(k/(-72)). Calculate the highest common factor of n and 10. 2 Let g = 10936 + -10934. Calculate the greatest common divisor of 2239 and g. 1 Let v be (-45)/10*(-294)/63. Calculate the greatest common divisor of v and 1099. 7 Suppose -10*f = -11*f, 3*f - 9144 = -3*y. What is the greatest common divisor of 24 and y? 24 Let n be ((-27)/6)/((-6)/(-357)*33/(-176)). Calculate the highest common divisor of n and 336. 84 Let w(c) = -8*c**2 - 297 + 3*c**2 + c**3 - 6*c + 307 - 4*c**2. Let v be w(10). Calculate the greatest common divisor of 350 and v. 50 Let x(s) = -57*s - 11. Let p be x(-7). Let y = 605 - p. Calculate the greatest common divisor of 62 and y. 31 Let n = -118 + 187. Let h = n - 67. Suppose 0 = -t + h*w + 34 + 12, 5*w = -2*t + 47. Calculate the highest common divisor of t and 18. 18 Suppose -2*j + 6*j = 5*z - 126, -4*j - 104 = -4*z. Suppose z = -4*l + 462. What is the greatest common divisor of l and 10? 10 Suppose -4*o - 3 + 23 = 4*x, -5*o + 25 = -3*x. Suppose o*i - 2*w - 448 = 0, 3*i + 3*w - 266 = 7*w. What is the greatest common factor of i and 234? 18 Let p(c) = c - 1. Let b(g) = 6*g + 23. Let d(w) = b(w) - 4*p(w). Suppose 10 = -3*l - 14. Let m be d(l). Calculate the greatest common factor of m and 121. 11 Let f = 266 + -266. Suppose 19*r - 2138 - 1985 = f. What is the highest common factor of r and 7? 7 Let i = 32 - 25. Suppose -4*d = w - 7*d - 175, -w + 2*d = -175. Calculate the greatest common divisor of w and i. 7 Suppose -2*t + 4*t - 4*a = 22, 3*t + 5*a = 11. Let h be t/((-25)/10 + 2). Let c be (-248)/h + 18/63. What is the highest common divisor of c and 126? 18 Let r be ((-15)/5)/((-15)/10). Suppose 3*v = -2*i + 5*v + 514, -r*i + 504 = 3*v. Calculate the highest common divisor of 30 and i. 15 Let i = -362 - -534. Suppose 0 = 123*m - 134*m + 44. What is the greatest common factor of i and m? 4 Suppose 0 = -50*h + 49*h + 4. Suppose 3*x - 371 = -4*z, 0*z + h*z - 113 = -x. What is the greatest common factor of 43 and x? 43 Let r(x) = 11*x - 51. Let s be r(5). Suppose -2*w + 410 = s*n, 8*w + 526 = 5*n + 6*w. Calculate the greatest common factor of 4 and n. 4 Suppose 0 = -0*a + 6*a - 504. Suppose -4*y + y + 9 = 0, -4*y + a = 4*q. Calculate the greatest common factor of 207 and q. 9 Let a = -381 - -421. Suppose -3*g + 33 = -4*r + 1388, -g - 439 = 5*r. Let f = g + 649. Calculate the highest common factor of f and a. 40 Let q(f) be the second derivative of 29*f**4/12 - f**2/2 + 3*f. Let k be q(-1). Suppose -10*x = -712 - 2368. What is the greatest common divisor of k and x? 28 Let r be (-759184)/(-644) - ((-72)/21)/3. Let y(j) = -9*j - 4. Let u be y(-7). What is the highest common factor of u and r? 59 Let t be ((-83)/1)/(11/33). Let f = -149 - t. What is the highest common factor of 25 and f? 25 Let z be 63/(0 + 1)*4587/1251. What is the greatest common divisor of z and 594? 33 Suppose 21*u - 4282 = 6134. Calculate the greatest common factor of 775 and u. 31 Let z(o) = -o**3 - 5*o**2 + 4. Let d be z(-5). Let c be (-1)/((-6)/54) + 5. Calculate the highest common divisor of c and d. 2 Let y(a) = 36*a**2 - 72*a - 181. Let v be y(18). Calculate the highest common divisor of v and 668. 167 Let b = 416 - 420. Let u = b + 194. What is the greatest common factor of 10 and u? 10 Let j(m) = -60*m - 150. Let i be j(-12). Let q be ((-21)/(-63))/(2/i) - 4. What is the greatest common divisor of 65 and q? 13 Let m(p) = -18*p**2 - 4. Let z be m(-2). Let b = 93 + z. Calculate the greatest common divisor of b and 799. 17 Let o(n) = 11*n - 68. Let j be o(13). Let k be (j/5)/3 - -61. What is the greatest common divisor of k and 132? 66 Suppose a + 194 = -2*b + 4*b, -b + 88 = 4*a. Suppose 0 = -5*f + 16*i + 368, f - 43 = 2*i + 27. Calculate the highest common factor of f and b. 32 Let o(d) = d**3 + 14*d**2 - 5*d - 41. Let j = -123 - -143. Let c be 110/(-8) - -5*(-1)/j. Let a be o(c). What is the greatest common divisor of 29 and a? 29 Let s be -3 - (18/(-5))/(1/(-35)). Let f = -3 - s. What is the highest common divisor of 54 and f? 18 Suppose 3*p = -24*d + 12641 + 6139, 25195 = 4*p + d. What is the highest common factor of p and 693? 63 Suppose -6*h + 638 = -790. Let u = -60 - -74. Calculate the highest common divisor of h and u. 14 Let b = -2854 + 3074. What is the highest common divisor of 60 and b? 20 Suppose 3*r = 7*g - 195, 4*r = 4*g + 9*r - 98. What is the greatest common factor of 999 and g? 27 Let m(l) = 44*l**2 - 171*l + 84*l + 84*l - 58. Let d be m(6). What is the greatest common factor of 52 and d? 52 Suppose 97*n - 126 = 90*n. Let i(y) = 42*y - 4. Let f be i(n). Calculate the greatest common factor of 16 and f. 16 Suppose 4*j + 3*d = 14368 - 1856, -8 = -2*d. What is the highest common factor of 25 and j? 25 Suppose 28 = -20*y + 868. Suppose -193 = -2*q + 185. Calculate the highest common factor of q and y. 21 Let g = -58 + 67. Let h be 18 + g/6*6/9. Suppose 260 = -15*b + h*b. What is the highest common factor of 13 and b? 13 Let f = 9890 - -7148. Calculate the greatest common factor of
{ "pile_set_name": "DM Mathematics" }
= 6 + -5.8. Put d, -3, r in descending order. r, d, -3 Suppose -4*b + 9 + 3 = 5*n, 4*n - 2*b = -6. Put 1, -3/5, n, -0.5 in descending order. 1, n, -0.5, -3/5 Let w(g) = 4*g**2 + 30*g + 15. Let s be w(-7). Sort -25, s, -5 in ascending order. -25, -5, s Let y = 1420.04 - 1420. Sort y, -5, 5, 0. -5, 0, y, 5 Let g(m) = 9*m - 173. Let x be g(19). Sort 4, 1, x in decreasing order. 4, 1, x Let h(s) = 2*s**2 - 41*s + 128. Let p be h(16). Sort -3, 0, p. p, -3, 0 Let t(z) = 4*z + 5. Let y be t(-5). Let k be (60/(-18))/(2/y). Suppose -3*c = 2*c - k. Put c, 4, 0 in ascending order. 0, 4, c Let i = 2 + -7. Let j(a) = -2*a**2 - 83*a + 312. Let b be j(-45). Put i, b, 0, 4 in ascending order. i, b, 0, 4 Suppose -2*g = g + 39. Let t be 0/(2/(-1*(-14)/7)). Sort g, 3, t in ascending order. g, t, 3 Let v = -1988.6 + 1989. Put -5/2, 1, v in ascending order. -5/2, v, 1 Suppose 3*j + 4 - 13 = 0. Let k = -346 + 347. Sort -1, j, 11, k in descending order. 11, j, k, -1 Let t = -42 + 25. Let p = 20 + t. Sort 3/4, p, -3/5 in decreasing order. p, 3/4, -3/5 Let q = -1.184 + 1.384. Suppose -t - 5 = -6. Sort 0.4, 0.1, t, q in descending order. t, 0.4, q, 0.1 Let h be -4 - ((-12)/2 + 1). Suppose -o - o + 8 = 0. Suppose o*y + y - 15 = 0. Sort 4, y, h. h, y, 4 Let j = -454 + 461. Sort -5, 2.8, j in ascending order. -5, 2.8, j Let c be (668/16)/(2/4). Let w = -82 + c. Let t = 6 + -5. Put 0.1, t, w in decreasing order. w, t, 0.1 Let v = 0.624 + -0.924. Suppose 0*q - 18 = -2*q. Sort v, q, 1 in descending order. q, 1, v Let a = 20 - 28. Let z = 7.4 + a. Let d = 1 + z. Sort d, 1, -1/9 in descending order. 1, d, -1/9 Let j(g) = g**2 + 21*g + 3. Let u = 149 - 169. Let q be j(u). Let k be 3/1*(4 - 5). Put 2, k, q in increasing order. q, k, 2 Suppose 15 = -3*p, -d - p - 23 = d. Sort -3, -2, d, -5 in ascending order. d, -5, -3, -2 Let m = -197.88 - -198. Put m, 0.1, 1/7 in decreasing order. 1/7, m, 0.1 Let z(k) = -k**2 + k + 10. Let t be z(4). Let o(l) = -l**2 - 4*l + 1. Let r be o(-3). Sort t, r, -18, 5. -18, t, r, 5 Let i be (17380/(-265))/11 + (-12)/(-2). Put i, 25, -4 in increasing order. -4, i, 25 Let p = -0.7 - 2.3. Let m = -687.4 - -687. Put -5, m, -1/3, p in ascending order. -5, p, m, -1/3 Suppose -2*o + 3*h + 102 = 0, 5*o + 27 = 3*h + 282. Let v = 46 - o. Sort v, -9, 4 in decreasing order. 4, v, -9 Let c = -1.65 - 0.35. Let p = -9 - c. Let s = -2 - p. Put s, 0, -4 in ascending order. -4, 0, s Let b = -0.119 - -8.039. Let f = -0.08 - b. Let j = f + 7.6. Put 3, j, -3 in descending order. 3, j, -3 Suppose 2*q + 12 = -2*q. Suppose -5*s - 26 = 2*c + 2, -4*s - 5*c = 36. Put 0, s, q in decreasing order. 0, q, s Let q = -49 + 49.3. Sort q, 0.1, -9. -9, 0.1, q Let p = -32.1 - -34. Let x = p - 2. Put 4/7, x, -3 in descending order. 4/7, x, -3 Suppose -3*c + 3*q = -1 + 13, 2*c + 2*q = 4. Let h be (-8)/(-18)*(-33)/22. Sort h, 1/4, -58, c. -58, c, h, 1/4 Let t(h) = -h - 4. Let m be t(-7). Suppose m*v = -3*d - 6, d + 2*v + v + 10 = 0. Sort d, 5, -5 in decreasing order. 5, d, -5 Suppose 0 = 5*r - 5*u - 25, -u + 2 = -3*u. Let b(j) = j**2 - 2*j. Let c be b(5). Suppose 0 = -3*i + k + 3, r*i - c = 3*k - 6. Sort -3, 5, i in increasing order. -3, i, 5 Let d = 141/4 - 36. Let t = 39.4 - 39. Let b = 12 + -12.5. Put t, d, b in increasing order. d, b, t Let x be (-584)/6*3171/14. Let q = -3835963/174 - x. Let g = q + -2/29. Put -1/3, g, 4 in descending order. 4, g, -1/3 Suppose 4*l + 1 = 9. Let t be 1/(11/24) - l. Let u be 12/2*(-3)/(-12). Sort 5, t, u in decreasing order. 5, u, t Let k = 16 - 13. Let z be (k/12)/((-1)/(-2)). Let a = 13.3 - 13. Put z, a, 2 in increasing order. a, z, 2 Let m = 57 + -53. Sort m, 48, -5 in increasing order. -5, m, 48 Let r = -838 + 851.68. Let q = 0.48 - r. Let z = q - -13. Put -5, 0.3, z in ascending order. -5, z, 0.3 Suppose -2*h - 242 = -2*c, -21*c - h + 599 = -16*c. Sort c, -1, 0, 2 in decreasing order. c, 2, 0, -1 Let m = -5 + 8. Suppose 0 = -14*c + 34*c + 40. Put c, 0, m in descending order. m, 0, c Let x be (0*3/(-9))/3. Suppose 3*v = 5*n - 55, -2*v + 4*n + 18 = 54. Let j be (0 - -2)*v/8. Put -7, j, x in descending order. x, j, -7 Suppose -s = 3*j + 1, 1 + 7 = -2*j + 3*s. Let n = -2 - j. Suppose 23*q - 44 - 71 = 0. Put 3, n, q in ascending order. n, 3, q Let k = -0.154 + -0.346. Put -11, -3/4, -1/11, k in descending order. -1/11, k, -3/4, -11 Suppose 0 = 198*b - 205*b - 28. Sort b, 5, 6 in ascending order. b, 5, 6 Let a be (1/(-3))/((-35)/420). Let h be 2*(3 + -2) + -5. Sort h, a, 2. h, 2, a Let g be 132/21 + (-20)/70. Suppose 51*s = 54*s - g. Let d(j) = 3*j - 2. Let w be d(2). Put s, -1, w in decreasing order. w, s, -1 Let f = -3 + 3. Suppose 0 = 39*z - 42*z + 4*v + 193, 4*z - 262 = 3*v. Put z, 3, f, -3 in descending order. z, 3, f, -3 Let a = 0 - -5. Suppose -5*v - n + 16 = n, a*v - 3*n = 26. Let s = 4 - 2. Sort v, s, 5 in decreasing order. 5, v, s Suppose -7*r + 48 = p - 9*r, -5 = r. Suppose -8*k - 6 = -p. Put k, -3, -5, -1 in decreasing order. k, -1, -3, -5 Let l = 35.2 + -21.5. Let x = 13.7 - l. Sort 1, x, 2. x, 1, 2 Let k = 10 - 18. Let b(u) = 2*u + 20. Let n be b(k). Sort -2, 3, n in descending order. n, 3, -2 Suppose 2*h + 8 = 0, 2*h + 3*h + 21 = -b. Let s(c) = 5*c + 3. Let v be s(b). Sort 1, -0.1, v, -5. -5, v, -0.1, 1 Let h = -117 - -119. Sort h, 15, 5 in decreasing order. 15, 5, h Let l(a) = -3*a**3 + a**2. Let m be l(1). Suppose 1049*g = 1043*g + 12. Suppose 2*c + 8 = -3*h + 33, 0 = 3*c - 15. Sort g, h, m in increasing order. m, g, h Let w be (500/(-13))/(2 + (-35)/20). Let z = w + 154. Let p = -6 + 1. Sort -2/7, z, p in ascending order. p, -2/7, z Let l = 0.1501 - 3.1501. Put l, -4, -5, 2/9 in decreasing order. 2/9, l, -4, -5 Suppose 5*x - 8 = -4*d, -10 = x - 6*d + d. Let b = 1.8 - 8. Let f = b - -6.11. Sort -1/4, f, x. -1/4, f, x Let j(y) = -y + 4. Let f be j(0). Suppose -f*z - 22 = 106. Let b be (-41)/20 - z/40. Sort 0, b, 0.4 in increasing order. b, 0, 0.4 Let x = -5 - -5. Let u be -1*(-9)/(-6)*-6. Let d be (-82)/(-16) - u/72. Put 4, x, d in increasing order. x, 4, d Let n = 354 - 335. Sort -3, -1, n, -4 in increasing order. -4, -3, -1, n Let b = -4 + 8. Let l = 5.07 - 5. Sort l, 2/3, b in ascending order. l, 2/3, b Let c(b) = 13*b + 317. Let p be c(-24). Sort 3, p, -4, 2 in decreasing order. p, 3, 2, -4 Let m = -0.1 - 2.9. Put -0.59, 0.4, m in increasing order. m, -0.59, 0.4 Suppose 0 = -5*m - 2*h + 31, 3*m + 2*m = 4*h + 13. Sort -4/17, -0.2, m in descending order. m, -0.2, -4/17 Let j be 7/210*-12*10/72. Sort j, -0.6, -4/5, -0.1 in increasing order. -4/5, -0.6, -0.1, j Let j be ((-2)/10)/((-10)/75). Sort -0.07, 2/3, j in decreasing order. j, 2/3, -0.07 Let y(n) = -n**2 + 5*n - 3. Let s(g) = 9*g**3 - 17*g**3 - 3*g**2 + 7*g**3 - 1 - 2*g. Let t be s(-3). Let w be y(t). Sort 4, -1, w in increasing order. w, -1, 4 Let s = -3444 - -3438. Let z = 3 + -5. Sort -5, z, s, 2/9 in increasing order. s, -5, z, 2/9 Let w(y) = -10*y + 31. Let d be w(3). Sort 4, 31, d in increasing order. d, 4, 31 Let r be (-17 + 32)/3 - 56/11. Sort r, 2, -28 in increasing order. -28, r, 2 Let t = -0.9386 - 0.0614. Sort t, 41, -3 in decreasing order. 41, t, -3 Let v = 162 + -707. Put -1/6, v, -1 in descending order. -1/6, -1, v Let d(q) = 2*q - 1. Let s be d(3). Let c(h) = -h - 12. Let f be c(-11). Let m = -184 - -182. Put f, m, s in descending order. s, f, m Let m(n) = 4*n. Let l(o) = -3*o + 1. Let y(x) = 3*l(x) + 2*m(x). Let r be y(-2). Let p = -9 - -13. Sort r, p, -6 in ascending order. -6, p, r Let p = -0.19 - -11.89. Let l = 330 - 342. Let x = p + l. Sort x, -0.09, 3 in ascending order. x, -0.09, 3 Let r = -4.345 + 4.445. Suppose v - 90 = 2*v. Let a = -992/11 - v. Put a, 5, r in increasing order. a, r, 5 Suppose -4*g + 4*w + 2 - 34 = 0, -g - 7 = -2*w. Sort 0, g, -5, 6 in ascending order. g, -5, 0, 6 Let m be (-2 + -1 + 1)*-1. Let q be (m/12)/(4/12). Let c be (4 + -4 + 2)/(-1). Put c, q, -1 in increasing order. c, -1, q Let u be ((-4)/8*-2)/2. Put u, -5, -31, -3/2 in decreasing order. u, -3/2, -5, -31 Let f be 9321/18 - 40/192*4. Sort f, -3, -4 in decreasing order. f, -3, -4 Let l = -83 + 89.4. Let s = 6.5 - l. Put -19, s, 2 in increasing order. -19, s, 2 Let x(m) = 7*m**3 + 2*m**2 - 4*m + 3. Let s be x(2). Let v = s + -59. Sort 10, v, -4 in decreasing order. 10, v, -4 Let
{ "pile_set_name": "DM Mathematics" }
h biggest value in 1/43, j, 1.9, -5? -5 Let x be (2 - (-81)/15)/((-36)/(-10)). Let v = x + -25/18. Let l = 0 + -0.1. Which is the fourth smallest value? (a) -4/9 (b) l (c) v (d) 3 d Let i be 20/(-110)*1/1. Let s = 0.4497 + -0.6497. Which is the smallest value? (a) 1 (b) s (c) i b Let g be 342/76 - (3 + (-8)/(-2) + -3). What is the biggest value in g, 0, 1/3? g Let q = 0.648 + 0.102. Let o = 1.15 - q. What is the second smallest value in -85, 2, o? o Let f = -308 + 2160/7. Let m = 12232.1 + -12232. Which is the second smallest value? (a) -0.3 (b) f (c) m c Let j(m) = m - 3. Let n be j(3). Let i = -5895 + 5883. Which is the second smallest value? (a) n (b) i (c) -1/2 c Let x = -0.275 - 0.025. Let p = 2327 - 2324.961. Let k = p + -0.039. What is the second biggest value in x, -0.1, k, -1/5? -0.1 Let y be (-135)/(-6)*(-19 + (-1068)/(-60)). Which is the second biggest value? (a) y (b) -7 (c) -0.14 b Let q = 2970 + -2998. Let g = 24 - 50. Let h = g - q. Which is the third biggest value? (a) 0.3 (b) -5 (c) h (d) -1/6 d Let p = 3.03 - 0.03. Let o be (1 - -4)*(918/(-4760) - (-5)/20). What is the smallest value in -0.2, o, p? -0.2 Let h = -320.1 - -320.31. Which is the third biggest value? (a) 13 (b) h (c) 5 b Let q = -328.29 + 328.19. What is the second biggest value in q, 0.1, -5, 2, 5? 2 Let s = -2575.2 + 2837. Which is the biggest value? (a) 0 (b) s (c) 3 b Let u be (-2)/8 - (-82)/8. Suppose 3*b = 3*w - 72, -8*b = -5*w - 5*b + 126. Let z be ((-84)/w - -3)*24/(-20). What is the second smallest value in z, 4, u? 4 Let m = -10971 + 10971.1. Which is the third smallest value? (a) -5/6 (b) m (c) 1111 c Let z = -7 + 11.9. Let j = 4.95 - z. What is the third smallest value in 0.5, -0.11, j? 0.5 Let g = -14010 + 14014. Which is the third smallest value? (a) -10/163 (b) g (c) 0.02 b Let d = -46 - -48. Suppose 0 = d*j - 0*u - u + 126, j + 3*u + 49 = 0. Let x = -243/4 - j. Which is the third smallest value? (a) 2/3 (b) -5 (c) x a Let d = 24.4 - 24.73. Let m = d + -1.67. What is the third smallest value in 8, 3, m? 8 Let l(q) = q**3 - 2*q**2 + q. Let p be l(-6). Let g = 3232/11 + p. Which is the second smallest value? (a) 0.5 (b) -12 (c) g c Suppose -19 = 5*t - 4*k, -912*k = -5*t - 915*k - 12. Let u = 0.33 + -0.03. What is the smallest value in t, 38, u? t Let g = -13 + 5.9. Let o = -4.1 - g. Let f be (0 - -1) + 55/(-66). Which is the third biggest value? (a) f (b) o (c) -8/5 c Let y = 1484 - 1484.729. Let g = 4.271 - y. Let c = -13 + 4. What is the smallest value in c, g, -1? c Let z = -14684 - -14684.4. Let d = 0.3 - 5.3. Let q = -2 - d. Which is the third smallest value? (a) z (b) -0.5 (c) q c Let f be ((-152)/30 - -16*13/(-1560)) + 5. What is the second biggest value in 31, -2/17, f? -2/17 Let t = -1291 - -1230. Let r be 2/(-16)*(-3 - 1). Which is the smallest value? (a) r (b) -5 (c) t (d) -1/4 c Suppose 3 = -3*o, -617*h + 5*o = -612*h - 30. What is the fifth biggest value in 0.5, 4, h, -1/9, 2/7? -1/9 Let o = 222.2 + -222.3. Suppose t = -3*t. Let u = 77 - 76.5. Which is the biggest value? (a) t (b) o (c) u (d) 2/11 c Let i = -7870 + 39351/5. Which is the second biggest value? (a) i (b) 3 (c) -3 (d) -10 a Let s = 221 + -62. Let u = 158.9 - s. Let n = 20 - 23. What is the second smallest value in u, 4, n? u Let w = 4515 - 4551. Which is the second biggest value? (a) -4/9 (b) w (c) -14 c Let l = 20 - 59/3. Let w = -2325 - -2325. What is the second biggest value in -31, l, -1/6, w? w Let h be ((-10915)/10)/(207/(-6)). Let s = 2/69 + h. Let x = s - 31. What is the third smallest value in x, -0.5, -2? x Let c = 5696 + -5696. What is the fourth smallest value in 2, 1/2, c, 37, -1? 2 Let d = -5 + -4. Let x = 6 + d. Let q = -5 - -9. What is the second smallest value in x, q, 8/5? 8/5 Let s = -8.68 + 9.18. Which is the smallest value? (a) 1/8 (b) s (c) -133 (d) 0.3 (e) 13 c Let d = 4142/819 + -440/91. What is the fourth biggest value in d, 2.2, 0.2, -0.4? -0.4 Let u be ((-48)/100)/6*10/(-6). What is the fourth biggest value in 1/6, u, -4, -4/7, -7? -4 Let u = 187 - 186.7. Let k be ((-2)/14)/((-2)/(-4)). Which is the smallest value? (a) -8 (b) k (c) u a Let p = -222 + 2888/13. Let v = -1 + -2. Let n = 790.1 - 790. Which is the smallest value? (a) v (b) p (c) n (d) 2/7 a Let f = 0.64 - -23.06. Let j = f - 26. What is the third smallest value in 2, -3/4, -1/2, j? -1/2 Let w = -30353/2 - -15173. Which is the fourth smallest value? (a) w (b) 3 (c) 0.3 (d) 4/5 b Let u = 0.04 + 0.07. What is the second biggest value in 0.5, -2/17, u, -2? u Let s be ((-15)/6 + (-26 - -30))*1/3. What is the fourth smallest value in 96, -7, -2/7, s, 4? 4 Suppose 4*j + 12 = -5*s - 10, -s - 17 = 5*j. Let n = -212 + 217. Let p be (-630)/(-150) + 4/n. Which is the third biggest value? (a) -0.1 (b) p (c) j c Let h be (-2)/5 - (-12)/(-70). Suppose -5*r = -3*k - 10, 0*k + 4 = 2*r - 5*k. Let s be r/(-6) + (-12)/18. What is the second smallest value in s, h, -3, -5? -3 Let d be 4/(-3) - 70/(-45). Let z = -0.4 + -0.6. Which is the third smallest value? (a) 0.16 (b) d (c) z b Suppose -7*z = -4*z - 9. Suppose z = -v, 0 = -5*u + v - 4*v + 101. Suppose u - 13 = 3*o. Which is the second smallest value? (a) -3 (b) -0.2 (c) o b Let q = -18034 + 18030. Which is the fourth smallest value? (a) 3 (b) 0 (c) q (d) -1/7 a Let b = 25 - 27. Let g = -3/77 - -2/11. Let l = -15796.06 - -15796. What is the fourth smallest value in g, b, -2/11, l? g Let w = 0.3067 + -0.3267. Let l = 19/12 + -347/204. Let t = 0.4 - 0.3. Which is the third biggest value? (a) t (b) w (c) 1 (d) l b Let j = 1.7405 + -52.7405. Let t = 0 - 4. What is the second biggest value in j, 5, t? t Let s = -38.3 + 38.2999. Let g = -34.9999 + s. What is the second smallest value in g, -0.4, 0.1? -0.4 Let u = 14378 - 14378.5. Which is the second smallest value? (a) 1386 (b) -4 (c) u c Let h = -21630/13 - -237904/143. Which is the smallest value? (a) h (b) 1 (c) 74 (d) 0.2 a Let k = -12603 - -12595.541. Let d = k + 0.459. What is the second biggest value in -1/3, -0.19, d? -1/3 Let g = -0.07454 - 0.12546. What is the third smallest value in 0, 2/19, -11, g? 0 Let a = 0.19074 - 0.19074. What is the smallest value in 232, a, -5, -4, 6/11? -5 Let j(o) = -611*o + 68492. Let n be j(112). Let r be (-1)/2 - 2/(-6). Which is the second smallest value? (a) -1/3 (b) r (c) n b Let w(r) = -r**2 - 11*r - 14. Let s be w(-9). Suppose -5*l - z + 42 + 21 = 0, 44 = 4*l + s*z. Let b = 17 - l. What is the fourth smallest value in 0.5, b, 5, 2? 5 Let v be ((-65)/(-13))/(10/6). Let w = 0.1 - 0. Let z = 6 + -7. Which is the biggest value? (a) z (b) w (c) v c Suppose -9*l + l = 2*l. Let s = 79/7 + -81/7. Let w = -20 - -182/9. Which is the biggest value? (a) s (b) l (c) 1/2 (d) w c Let b = -6394 - -6391. What is the third biggest value in -0.6, b, -3/7? b Suppose -5*w = v - 18, -3*v = -4*w + 120 - 117. Which is the biggest value? (a) -4 (b) 1/26 (c) v c Let p = 0.5 + 0. Let x = 171.15 - 168.15. What is the fourth biggest value in x, 0.1, p, -9? -9 Suppose 41760 = -128*t + 12*t. What is the second biggest value in 2, -3/5, t, -1? -3/5 Let h be -5 + (8/6)/(5/60). Let o be (-1)/2*(59/h - 5). Which is the third biggest value? (a) 0.1 (b) o (c) -3/7 (d) -0.1 b Let h = 0.34396 - -0.05604. Let g = 1 + 0. Which is the fourth biggest value? (a) h (b) -5/13 (c) g (d) -5 d Let k = -61/5 - -12. Suppose 0 = -3*i - w + 6, -57*i = -62*i - 5*w. Which is the fourth biggest value? (a) k (b) 1/3 (c) i (d) -1/8 a Suppose -4*u + o = -6*u - 7, 4*u + 5*o + 29 = 0. Which is the fifth biggest value? (a) 2 (b) u (c) 7 (d) 2/3 (e) 0 b Let f be (1*((1 + 1)/2)/(-7))/5. Let o be -1 + ((-2)/(-2))/(-1). What is the third smallest value in f, o, 2? 2 Let q = 13782 - 13780. Let v = 0.01 + -0.51. Which is the third biggest value? (a) 0.046 (b) v (c) 5 (d) q a Let j = -0.7 + 0.6. Let z = 4129.89 - 4131. What is the smallest value in 3/4, -1/4, j, z? z Let w = -4.6085 + 1.6085. Let y = -54 + 82. What is the biggest value in -0.3, w, y, 3/2? y Suppose 5*v - 126 = -w - 104, 35 = -5*w + 4*v. Let i = 10.8 + -11. What is the third biggest value in -1/3, w, 5, i? -1/3 Let h = 4.6 - 5. Let w
{ "pile_set_name": "DM Mathematics" }
-54 Let m(i) = -9*i - 36. Let x be m(-10). Find the second derivative of 25*s**2 + 29*s**2 - x*s**2 - s - 44*s**5 + 31 wrt s. -880*s**3 Let a(f) be the first derivative of -11*f**3 + f**2/2 - 17*f - 35. Differentiate a(u) wrt u. -66*u + 1 Let m = -49 + 51. What is the first derivative of -37*k**2 - 8*k**2 - 3 + m + 4*k**2 wrt k? -82*k Let y(j) be the third derivative of 0*j**6 + 1/28*j**8 + 10*j**2 + 0 + 0*j + 0*j**3 + 0*j**4 + 0*j**7 + 19/60*j**5. Find the third derivative of y(s) wrt s. 720*s**2 What is the third derivative of -365*a**2 + 10*a - 4*a - 190*a**6 + 360*a**2 wrt a? -22800*a**3 Let i(q) = -q**2 - 4*q. Let l(p) = -246*p**2 - 144*p. Let h(w) = 4*i(w) + l(w). What is the second derivative of h(j) wrt j? -500 Let n be 12/3 + (1 - 2). What is the third derivative of -12*b**2 + 16*b**6 + 185*b**n - 185*b**3 wrt b? 1920*b**3 What is the first derivative of 45*k**2 - 7*k**4 + 2*k + 11 - 4 - 45*k**2 wrt k? -28*k**3 + 2 Let d = -16 + 20. Find the second derivative of -3*t**d - 2*t + 4*t - 7 + 19 + 3*t**2 wrt t. -36*t**2 + 6 Let b = -60 - -93. What is the first derivative of -81 + b - 6*q**3 + 37 - 8*q**3 wrt q? -42*q**2 Let o(i) be the first derivative of -2*i**2 + 0*i + 39 - 7/3*i**3. Find the second derivative of o(h) wrt h. -14 Let m(o) be the third derivative of -21*o**4 - 87*o**3/2 + 8*o**2 + 48*o. Differentiate m(v) with respect to v. -504 Let u(k) be the first derivative of -k**5/5 - 2*k**3/3 - 34*k**2 - 21. Find the second derivative of u(p) wrt p. -12*p**2 - 4 Let l(i) be the first derivative of 29*i**4/2 + 43*i + 31. What is the derivative of l(s) wrt s? 174*s**2 Let g(x) = 193*x**2 - x - 1. Let k be g(-1). What is the third derivative of -3*f**2 + 193*f + 11*f**4 - k*f wrt f? 264*f Let z(j) = j**4 + 2*j**3 + 417*j**2 + 2. Let h(k) = k**4 + 3*k**3 + 417*k**2 + 3. Let s(r) = -2*h(r) + 3*z(r). What is the third derivative of s(y) wrt y? 24*y Let v(j) be the first derivative of -22*j**6/3 - 4*j**3/3 + j**2 - 8*j + 124. What is the second derivative of v(l) wrt l? -880*l**3 - 8 Let p be -1 - ((-14)/2 + 4). What is the third derivative of -17*q**6 + 10*q**2 + 9*q**2 + 4*q**6 + 24*q**p wrt q? -1560*q**3 Let y(v) = 3*v**3 + 3*v**2 + 2*v + 3. Let u be y(-2). Let m = u + 23. Find the first derivative of -m + 0*o**2 + 5 - 4 + 8*o**2 wrt o. 16*o Let m(v) = 1496*v - 1668. Let f(t) = -498*t + 556. Let a(r) = -8*f(r) - 3*m(r). Find the first derivative of a(l) wrt l. -504 Let n(a) = -a**2 + 3*a + 4. Let x be n(3). Find the second derivative of -5*c**5 + 2*c + c + x*c**5 + 3*c wrt c. -20*c**3 Let v be (13/(-4) - -3)*-12. What is the first derivative of 18*z**v + 16*z**3 - 24 + 10 wrt z? 102*z**2 What is the third derivative of 1 - 910*m**4 - 4*m**2 + 863*m**4 + 4 + m**3 wrt m? -1128*m + 6 What is the derivative of 60 + 101*v**4 - 7287*v**2 + 7287*v**2 wrt v? 404*v**3 Let z(m) = m**3 - 6*m**2 - m + 8. Let o be z(6). Suppose 5*s - v = 30, -o + 0 = -s + v. What is the first derivative of s + 0*n - 4 + 1 - 4*n wrt n? -4 Let z(x) be the first derivative of 0*x + 10 + 0*x**2 - 1/4*x**4 - 4/3*x**3. What is the third derivative of z(p) wrt p? -6 Let f(s) be the first derivative of s**6 - 2*s**5 - 23*s**3/3 + 3*s - 186. Find the third derivative of f(m) wrt m. 360*m**2 - 240*m Let f(m) = -m + 18. Let x be f(16). What is the second derivative of -10*s + 0*s**3 + 9*s**3 + x*s**3 wrt s? 66*s Suppose 211*p - 210*p = 0. Let z(y) be the second derivative of p*y**2 + 0*y**3 - 1/4*y**5 - 7*y + 0 + 1/4*y**4. Find the third derivative of z(s) wrt s. -30 Find the second derivative of -2*o**5 - 662*o + 320251*o**3 - 320251*o**3 - 169*o**4 wrt o. -40*o**3 - 2028*o**2 Suppose 6 = x - 2. Differentiate x*j + 4*j - 8 - 2 + 9 wrt j. 12 Let q(u) = u**2 + 21*u - 439. Let v(x) = x**2 + 31*x - 658. Let d(k) = 7*q(k) - 5*v(k). Differentiate d(o) wrt o. 4*o - 8 Find the second derivative of -i**2 + 64 - i + 146*i**5 - 61*i**5 + 2*i wrt i. 1700*i**3 - 2 Suppose v - 3*v + 120 = 0. Find the second derivative of -16*q**3 + v - 31 + 10*q - 29 wrt q. -96*q Let o(y) = -16*y**3 + 37. Let x(m) be the second derivative of -m**5/4 + 6*m**2 + 2*m. Let i(f) = 2*o(f) - 7*x(f). What is the derivative of i(s) wrt s? 9*s**2 Let h(x) be the second derivative of -343*x**3/6 + 85*x**2 - 6*x - 5. Find the first derivative of h(o) wrt o. -343 Suppose -2*m = -3*y + 44, -m - 28 = -2*y + 2. Suppose -2*u - u = -16*u. What is the derivative of -9 + u*i**4 + 2*i**4 + y wrt i? 8*i**3 Let f(l) = 7*l + 9. Let c(r) = 3*r + 4. Let q(j) = 5*c(j) - 2*f(j). Let d be q(-1). Find the first derivative of 4*i + i + 0*i - d - 1 wrt i. 5 Let r(b) be the second derivative of -b**6/15 - 3*b**5/4 + 33*b**4/4 - 96*b. Find the third derivative of r(g) wrt g. -48*g - 90 Suppose 67*y = 70*y - 48. What is the third derivative of -o**4 + 12*o**2 + 12*o**2 + y*o**4 wrt o? 360*o Let x be ((0/8)/(1 + 0))/(-2). Let p(d) be the third derivative of x*d + 2/3*d**3 + 0 - 5*d**2 - 3/8*d**4. Find the first derivative of p(f) wrt f. -9 Let p = 10 + -16. Let f be ((-27)/p)/(-3)*-2. Differentiate -1 - 2*k + f*k + 3*k - k with respect to k. 3 Suppose 3*m + 3 = 4*o - 2, -m + 7 = 3*o. What is the derivative of 32*f + 11 - 32*f + 3*f**o wrt f? 6*f Let s be (-32)/(-14) - (-1)/(14/(-4)). What is the second derivative of -3*g + 8*g**s - 4*g + 22*g wrt g? 16 Let c(y) = 10*y**3 + 4*y - 24. Let h(x) = -11*x**3 - 5*x + 25. Let i(f) = -6*c(f) - 5*h(f). What is the first derivative of i(k) wrt k? -15*k**2 + 1 Let i be (-6)/1 + 2067/318. Let z(v) be the second derivative of 0*v**2 + i*v**4 - 1/6*v**3 + 0 - v. Find the second derivative of z(x) wrt x. 12 What is the second derivative of -57*b**4 - 1599*b**3 + 1599*b**3 + 32*b wrt b? -684*b**2 Let d(u) be the first derivative of -144*u**5/5 + u**3/3 - 504*u - 879. What is the first derivative of d(k) wrt k? -576*k**3 + 2*k Differentiate 709*i**2 + 1363 - 537 - 491 wrt i. 1418*i Let g(d) be the second derivative of d**4/6 + 5*d**3/6 - 32*d**2 - 77*d. Differentiate g(z) with respect to z. 4*z + 5 Differentiate -39*c + 526 - 32*c - 48*c**4 + 70*c - 24*c**4 with respect to c. -288*c**3 - 1 Let r = -44 - -32. Let s = r + 20. What is the third derivative of -14*j**2 + s*j**4 - 2*j**4 + 3*j**2 + j**4 wrt j? 168*j Let z be 3/(-4*(-15)/100). What is the third derivative of -43*a**z - 3*a**2 - 7*a**2 + 6*a**2 - 3*a**2 wrt a? -2580*a**2 Let p(b) = 67*b**2 + 3*b - 10. Let m(n) = 68*n**2 + 2*n - 12. Let x(r) = -6*m(r) + 4*p(r). Differentiate x(d) wrt d. -280*d What is the second derivative of 101*x**4 + 3*x**4 - 28*x**4 + 14*x wrt x? 912*x**2 Suppose -s = -4*g - g - 37, 5*s = -3*g + 73. Suppose -5*x + s = -13. What is the third derivative of -2*k**3 + x*k**2 + 0*k**2 - 7*k**3 + 6*k**2 wrt k? -54 Suppose -5 = -l - 1. What is the second derivative of -n**4 - n - 2*n**4 + 12*n**l + 2*n**4 wrt n? 132*n**2 Let g be (-1 + 4)/((-6)/(-10)). Let d be (g - 0) + (-3)/3. What is the second derivative of 3*x**4 + 5*x + x - d*x + 0*x**4 wrt x? 36*x**2 What is the third derivative of 28*q**3 - 31*q - 111*q**3 + 82*q + q**2 - 33*q wrt q? -498 Let m(t) be the second derivative of -174*t**5/5 - 5*t**4/12 + 5*t**2/2 + 3*t - 37. Find the third derivative of m(f) wrt f. -4176 Let t(d) be the second derivative of 17*d**5/10 + d**4/4 + 2*d**3/3 - 2*d - 2. Find the third derivative of t(u) wrt u. 204 Let a(l) be the first derivative of -213*l**4/4 + 5*l**2 - 7*l - 277. What is the second derivative of a(m) wrt m? -1278*m Suppose 2*g - 36 = 10. Find the first derivative of 2*a + g - 2*a - 6*a**3 + 29*a**3 wrt a. 69*a**2 Let n(m) be the second derivative of 25*m**8/56 - 11*m**6/30 - 191*m**4/12 - 2*m - 7. Find the third derivative of n(j) wrt j. 3000*j**3 - 264*j Let u(o) = -32*o**2 + o**3 - 7*o + o - 3 + 26*o**2. Let w be u(7). What is the third derivative of -6*m**3 - 9 - w*m**2 + 9 + 10*m**2 wrt m? -36 Let c = 13 - 8. Let a(v) = -v**4 - 5 - v**2 + 6*v**4 + v**2 + 5*v. Let q(y) = y + 1. Let n(t) = c*q(t) - a(t). Differentiate n(z) wrt z. -20*z**3 Let m = 408 + -408. Let s(v) be the second derivative of m*v**4 + 3/20*v**5 + 2/3*v**3 - 6*v + 0 + 0*v**2. What is the second derivative of s(p) wrt p? 18*p Suppose -11*x + 8*x + 18 = 0. Let u(v) = -v**4 + v - 1. Let g(r) = -4*r**4 + 5*r - 6. Let b(m) = x*u(m) - g(m). What is the second derivat
{ "pile_set_name": "DM Mathematics" }
(a) 0.3 (b) 2 (c) 53 (d) 1 a Which is the nearest to 1? (a) 8376 (b) -0.5 (c) 2 c What is the closest to 3 in -81, 2/3, -4, 0? 2/3 What is the nearest to 1 in -808, -2, -5? -2 What is the nearest to 3 in -14, -0.2, 271? -0.2 What is the nearest to 2/5 in -4/25, -35, 4, -1, 0.06? 0.06 Which is the closest to -72? (a) 221 (b) -1/3 (c) -1/4 (d) -5 (e) 1/2 d Which is the closest to -1/691? (a) 0.5 (b) 0.047 (c) -0.2 b What is the nearest to 0.1 in -9, -1/3, -5/3, 17? -1/3 Which is the nearest to -24/5? (a) -0.2 (b) -0.05 (c) 2/3 a Which is the closest to -772? (a) -0.1 (b) -1 (c) -1/4 b Which is the nearest to -1? (a) 0.06 (b) 1 (c) -1.3 (d) 2 c Which is the nearest to 2/11? (a) 3 (b) 0.01 (c) -1/86 (d) 1 b What is the nearest to -1.9 in 1/3, 20.21, 0.2? 0.2 Which is the nearest to -1? (a) -2/7 (b) 0.2 (c) -3 (d) -318/11 (e) -1 e Which is the closest to -1? (a) 2/7 (b) 5 (c) -8 (d) 16 (e) 0.1 e What is the closest to -1 in 0.2, 2, 3, 554? 0.2 What is the closest to -0.1 in 1, 1/2, 6, 2/21, 7745? 2/21 What is the closest to -50173 in -4, -1, -3, 2/7? -4 What is the nearest to 0.2 in -2.5, 3.58, -12/13? -12/13 What is the closest to -2 in -2, 1/6, -1/2, 64, -3446? -2 Which is the nearest to 0.04? (a) -0.13 (b) 3 (c) 2/7 a What is the nearest to -1/2 in 549, -0.17, 0? -0.17 What is the nearest to 1 in -148, 3, -9/4, 5? 3 Which is the closest to 1.95? (a) -1/2 (b) 0.2 (c) 1/7 b Which is the closest to -2? (a) 1/7 (b) -626142 (c) 3 a Which is the closest to 1? (a) 4 (b) -12/13 (c) -4 (d) -0.252 d What is the closest to 0.97 in 3/5, 3, 1.3? 1.3 Which is the nearest to -0.12? (a) -4 (b) 7 (c) 2 (d) -1/2 d What is the closest to -19 in 1/6, 0.034, -1? -1 What is the closest to 1/7 in -4, -2, 16, 0.11? 0.11 What is the nearest to 0 in 1, 4, -3, -0.005, -14? -0.005 What is the closest to -0.4 in 0.4, 1.8, -11? 0.4 Which is the closest to -1/3? (a) 3 (b) -808 (c) 17 (d) 1 (e) -2/13 e Which is the closest to -1? (a) 1/5 (b) 0.4 (c) 11.25 (d) -0.3 d What is the nearest to 696/43 in -0.5, -0.2, -5? -0.2 Which is the nearest to -2/5? (a) 7 (b) -8037 (c) 0 c Which is the nearest to 2/5? (a) 3/5 (b) -1202 (c) 5 a What is the closest to 1 in 1, -0.5, 2, -22? 1 Which is the nearest to -0.2? (a) -0.21 (b) 0.06 (c) 1/38 (d) 3 a Which is the closest to -3/100? (a) -1/10 (b) 2 (c) 4/9 (d) -5 a Which is the closest to 0.3? (a) 5 (b) 0.147 (c) -2 b Which is the closest to -517? (a) 1 (b) -1 (c) 2 (d) -3 (e) -0.3 d Which is the closest to 1/50? (a) 1/5 (b) 0 (c) 1/9 b Which is the closest to -47/6? (a) 5 (b) 0 (c) 3546 b Which is the nearest to -0.1? (a) -2/9 (b) 1 (c) -45 (d) 2/11 a Which is the closest to 1171? (a) -0.3 (b) 1 (c) -47 b What is the closest to -1/3 in -0.2, -1.3, 1.26, 0? -0.2 What is the closest to 4/9 in 1/9, 6, 0.1? 1/9 What is the nearest to -8 in 0.04, -916, -0.01? -0.01 Which is the nearest to 12/17? (a) -0.4 (b) 139 (c) 0.5 (d) -1 c Which is the nearest to -0.1? (a) 9675/4 (b) 3 (c) -5 (d) -1/8 (e) 0.5 d Which is the closest to 0.06? (a) 41/5 (b) -1/6 (c) -2/13 (d) -0.4 (e) 2 c Which is the closest to 0.5? (a) -54 (b) -2/503 (c) -0.3 (d) -0.1 b Which is the nearest to 1? (a) 3/11 (b) -0.105 (c) 7 (d) -0.06 a Which is the closest to -0.1? (a) 445 (b) 4 (c) 1 (d) -0.05 d What is the closest to -0.1 in 1.7, 5/4, 1159/2? 5/4 What is the closest to -1 in 4/3, 0, 2, -17.4? 0 Which is the closest to 0.11? (a) -3 (b) 0.3 (c) -0.18 (d) 19 (e) 0 e What is the closest to 11/5 in -4/3, 0.1, -0.1? 0.1 What is the closest to -26 in -5, 413, 2, 5, 0.5? -5 What is the nearest to -1 in -5/2, 2/13, -735/4? 2/13 What is the closest to 8 in -1/2, 1.2, -7, 0.1, 5? 5 What is the nearest to 0 in 0.2, -3122, -3/2, 1/8? 1/8 Which is the closest to -6/7? (a) 1/4 (b) 2/3 (c) -7.8 a Which is the nearest to 0? (a) -15 (b) 0.1 (c) -36698 b What is the closest to 3/4 in 3, 20187, -3, -5? 3 Which is the closest to 0.07? (a) 2 (b) -0.1 (c) 1 (d) 4 (e) -13 b What is the nearest to 0 in -5, -0.113, 2/83, 1.6? 2/83 Which is the closest to 4127? (a) 5 (b) -0.49 (c) 4 (d) -0.5 a What is the nearest to -0.07 in -4, 160, 4? -4 Which is the nearest to -2/7? (a) 2/3 (b) -4/7 (c) -1/3 (d) 0.5 (e) -2038 c Which is the closest to 2? (a) -1 (b) -371 (c) 1/2 (d) 0.4 c Which is the closest to 2/21? (a) 6 (b) -0.2 (c) 3 (d) 0 (e) -2/9 d What is the nearest to 9 in -0.2, 4/5, 2, -60, 1/50? 2 What is the nearest to 2/7 in -0.1992, -0.3, -4, -58? -0.1992 Which is the closest to 1/8? (a) -0.068 (b) 2/3 (c) -0.4 (d) 0.2 (e) 0 d What is the closest to 2/5 in 1, 3, 219/31? 1 What is the closest to -0.1 in -4, -0.12, 0.678, 4? -0.12 Which is the closest to 2/5? (a) 3/7 (b) 4 (c) -1 (d) 0 (e) 2993 a What is the nearest to 9/40 in 2/13, -0.2, -0.5? 2/13 What is the closest to -107 in -0.4, -31.82, -2/9? -31.82 Which is the closest to -1? (a) -0.7839 (b) -5 (c) -1 (d) 5 c Which is the closest to 3.11? (a) 0.4 (b) 3 (c) -2.5 b Which is the nearest to 1? (a) 4 (b) 1/9 (c) -1 (d) -0.3 (e) -57.1 b Which is the closest to 0? (a) 0.73 (b) -24 (c) -67 a What is the nearest to -1 in 5, 6, 0, -3.5? 0 Which is the nearest to -2021? (a) -0.3 (b) 0 (c) -5 (d) -2 c Which is the closest to 2/17? (a) -2 (b) -6 (c) -0.025 c What is the closest to 5/27 in -3, 1, 0.3, -2/165? 0.3 What is the closest to -29 in -75, -3/4, 0.5, -4, 2/13? -4 Which is the nearest to -36.63? (a) -1 (b) -4 (c) 2.2 b What is the nearest to -0.018 in -0.3, 0.06, 4, -5? 0.06 Which is the closest to -2/7? (a) 0.08 (b) -9 (c) 4 (d) 158 (e) 2/11 a What is the nearest to -0.1 in -1/149, -3, 1.8, -4? -1/149 Which is the nearest to 0? (a) -1/9 (b) -2546/11 (c) 0.1 c Which is the closest to 458? (a) -0.082 (b) 3 (c) 0.5 (d) -3/4 (e) -2/13 b What is the closest to 1 in 902, -4, -1/8, -0.05? -0.05 Which is the nearest to 2/7? (a) -1 (b) -8 (c) 0 (d) 9 c Which is the closest to -2? (a) -0.1 (b) -155.8 (c) -1.1 c Which is the nearest to 1? (a) -5/2 (b) 2/13 (c) -595 b What is the nearest to 1.4 in -14, -0.4, -2/59, -1/3? -2/59 Which is the nearest to -703? (a) 0.1 (b) -1/15 (c) 2/31 b What is the nearest to -1/2 in -16, -4/7, -5/4, -31, -2? -4/7 Which is the closest to 2/11? (a) 51/49 (b) -0.8 (c) 2 (d) -2/5 d Which is the closest to 2069/4? (a) -8 (b) 0.12 (c) 0.2 c Which is the closest to 3? (a) 3 (b) 320 (c) -39 (d) -2/9 a What is the closest to 4 in 2/11, 0, -999/7, 4, 5? 4 Which is the closest to 0.13? (a) 0.2 (b) -3 (c) 2/377 a What is the nearest to -2/7 in 3/2, 0.9, 2.7, -2? 0.9 What is the closest to -6/11 in 5, -0.11, 2.5, 1/3? -0.11 Which is the nearest to 0.1? (a) 7 (b) 1530 (c) 2/3 (d) 1 c What is the nearest to -0.3 in 3, -826, 4? 3 Which is the nearest to 2/11? (a) 2537 (b) -0.18 (c) 0.4 c What is the nearest to -1/12 in 5, 2, -0.4, -5, -10? -0.4 What is the closest to -0.1 in -3/7, 2, -0.042, -1/6, -2/5? -0.042 What is the closest to 4/71 in 5/6, -3/5, -4? -3/5 Which is the closest to 149/2? (a) -3/7 (b) 1/8 (c) 0.06 (d) 0.2 (e) -3/5 d What is the nearest to 292 in 1/5, -1, 2/9? 2/9 Which is the nearest to -3? (a) -0.11 (b) 0.4 (c) 2 (d) -0.3 (e) 0.02 d Which is the nearest to 0.1? (a) 1.2 (b) -4 (c) 26 a What is the nearest to 16876 in -1/12, -5, 0.1, 1, 2/7? 1 Which is the nearest to 2/7? (a) -0.41 (b) -7 (c) 2/13 (d) -6 c What is the closest to -1 in -3/5, -0.3, 0.028, -3.9? -3/5 What is the nearest to 4 in 0, -2203, 2, -1? 2 Which is the nearest to -0.1? (a) 0.3697 (b) -2 (c) -0.12 c Which is the nearest to -1? (a) 5/4 (b) 1/10 (c) -13336 b What is the closest to -0.1 in -4/9, 136, 0.2, -2.2, -2? 0.2 What is the closest to -2 in -34.1, -2/3, 1, -1? -1 What is the nearest to 33.9 in 3, 7, 2, 0.4? 7 What is the closest to 0 in -346, 2/13, -1/6? 2/13 Which is the nearest to -0.0707? (a) -0.07 (b) -5 (c) -0.4 a What is the closest to -0.1 in -0.3, -15.7, 5/3? -0.3 Which is the closest to 2/11? (a) -0.9 (b) -2/91 (c) -2/9 (d) -2/5 (e) -8 b What is the nearest to -5 in -3/2, -0.8, 4/5, 2? -3/2 What is the closest to -3 in -1, 3/5969, 0.5, 2? -1 Which is the nearest to 6? (a)
{ "pile_set_name": "DM Mathematics" }
ve of p**7/280 + p**4/6 + 10*p**2. Let b(u) be the second derivative of n(u). What is c(b(q))? 9*q**2 Let h(l) = -97*l**2 - 2*l. Let a(r) be the third derivative of -r**4/24 + 84*r**2 - 2. Calculate a(h(u)). 97*u**2 + 2*u Let j(c) = 14*c. Let p(w) = 334*w. Give j(p(q)). 4676*q Let w(l) = l**2. Let k(r) = -1934*r - 32. Determine k(w(t)). -1934*t**2 - 32 Let d(v) = v - 1. Let w(k) = 3*k - 6. Suppose -2*s = 3*s + 5. Let c(m) = s*w(m) + 6*d(m). Let o(b) be the first derivative of -2*b**2 - 28. Give c(o(j)). -12*j Let k(c) be the second derivative of c**3 - 2*c. Let s(w) be the first derivative of 0*w - 1/2*w**2 + 1. Give k(s(g)). -6*g Let r(z) = 2*z**2 + 52701 - 52701. Let d(m) be the third derivative of 0 - 1/8*m**4 - m**2 + 0*m + 0*m**3. Determine r(d(c)). 18*c**2 Let r(g) = 104*g**2. Let a(u) = -3*u - 1. Let c(y) = -4*y - 1. Let w(x) = -2*a(x) + 2*c(x). Determine w(r(k)). -208*k**2 Let r(s) be the first derivative of -s**2 - 19. Let o(q) = -q**3 - 6*q**2 - 6*q - 3. Let k be o(-5). Let h(x) = -k*x - x + 0*x. Give r(h(z)). 6*z Suppose -7*c = -14 - 21. Let x(h) = h**2 + 5 + h**2 - c. Let o(b) = -13*b. Calculate o(x(a)). -26*a**2 Let c(d) = 9*d. Let j(v) = -33*v + 77. What is c(j(m))? -297*m + 693 Let q(b) = -b**2 + 9*b + 9. Let u(n) = -n - 1. Let p(c) = 4*q(c) + 36*u(c). Let s(w) be the first derivative of -2*w**3 + 1835. Determine p(s(a)). -144*a**4 Let k(g) be the first derivative of 2 - 3 - g**2 + 2*g**2. Let d(o) = -7*o - 6. Let s(l) = 6*l + 5. Let t(y) = 5*d(y) + 6*s(y). Give t(k(f)). 2*f Let l(f) = f. Let o(j) = 419471*j. Determine o(l(i)). 419471*i Let z(m) = m. Let g = 30 - 42. Let p = g + 17. Let s(h) = -3*h + 0*h + p*h. Calculate s(z(o)). 2*o Let k(o) = -o**2. Let q(v) be the first derivative of -146*v**2 - v - 438. Determine k(q(d)). -85264*d**2 - 584*d - 1 Let l(w) = w**2. Let m(n) = -54403*n. Give m(l(a)). -54403*a**2 Let o(z) be the second derivative of -z**4/12 + 105*z + 2. Let c(h) = 218*h**2 - 1. Calculate c(o(r)). 218*r**4 - 1 Let n(y) = 148*y - 1. Let l(i) = i**2 - 8. Determine n(l(h)). 148*h**2 - 1185 Let o(n) = 2*n**2. Let p(j) be the second derivative of -3*j + 0 + 0*j**2 + 5/2*j**3. Give o(p(b)). 450*b**2 Let h(i) = -i. Let t = 107 + 51. Suppose -4*y = -t - 374. Let a(k) = y - 133 - k**2. What is a(h(o))? -o**2 Let b(y) be the third derivative of 0*y + 0*y**3 + 0 + 1/24*y**4 + 3*y**2. Let m(d) = 3*d + 3. Let h(j) = 1. Let n(r) = -6*h(r) + 2*m(r). Determine b(n(c)). 6*c Let q(m) = -32*m - 1. Let i(y) be the third derivative of y**4/12 - 134*y**2. Determine q(i(o)). -64*o - 1 Let t(r) = 2727 + 21*r - 2727. Let x(i) = 4*i**2. Determine t(x(f)). 84*f**2 Let s(o) = -164*o**2 - 168*o**2 + 342*o**2. Let l(i) = -5*i. Determine l(s(n)). -50*n**2 Let y(u) = -11*u**2 + 142792. Let r(l) = -l. Determine y(r(q)). -11*q**2 + 142792 Let y(u) = -20*u + 7*u + 12*u. Let b(f) = 9*f. Give y(b(w)). -9*w Suppose -26 = -7*r + 2. Let z(u) = u + u - r*u + 3*u. Let i(b) = -10*b**2. What is z(i(q))? -10*q**2 Let o(m) = m**2. Let h(c) = 2*c**2 + 2787*c + 3. Give h(o(b)). 2*b**4 + 2787*b**2 + 3 Let f(o) = -7*o. Let w(b) be the second derivative of 13*b**4 - b**2 + 495*b. What is f(w(a))? -1092*a**2 + 14 Let s(i) = -i. Let w be -1 + 5/((-15)/(-9)). Let l(b) = 0*b - 20*b**w - b + b. What is l(s(z))? -20*z**2 Let a(u) = 219364*u. Let l(y) = -4*y. Give a(l(p)). -877456*p Let c(x) = -2*x**2. Let m(j) = -1545188*j. Calculate m(c(k)). 3090376*k**2 Let f(g) = -911*g + 1. Let j(c) = 12*c. Give j(f(y)). -10932*y + 12 Let l(f) be the second derivative of -3*f**4/4 + 23*f - 1. Let z(s) = 7*s**2. Give z(l(a)). 567*a**4 Suppose 3*z - 14 - 16 = 0. Let v(y) = z*y + 94 - 94. Let q(m) = 6*m - m - 3*m. What is v(q(f))? 20*f Let t(g) be the first derivative of 58*g**3/3 - 191. Let a(z) = -3*z. Determine a(t(k)). -174*k**2 Let b(o) = o - 1. Let i(m) = 3*m**2 - 3*m + 3. Let j(w) = -3*b(w) - i(w). Let k(q) = q**2 + 1. Let s(r) = 6*r**2 - 2. Let g(d) = 2*k(d) + s(d). Give j(g(n)). -192*n**4 Let h(f) = -7*f**2 - 5. Let n(q) = -8*q**2 - 6. Let a(m) = 6*h(m) - 5*n(m). Let o(t) = 31*t. What is a(o(x))? -1922*x**2 Let f(j) = j**2. Let w(t) be the first derivative of t**5/40 + 11*t**3/3 + 2. Let d(c) be the third derivative of w(c). Determine d(f(i)). 3*i**2 Let c(i) be the first derivative of -i**3 + 31. Let o(h) = -73*h**2. Give c(o(y)). -15987*y**4 Let f(n) be the second derivative of 0*n**3 - 7/24*n**4 + 5*n + 0 + n**2. Let b(y) be the first derivative of f(y). Let x(w) = -w. Give x(b(r)). 7*r Let c(o) = 2*o**2. Let y(l) = -l - 26*l**2 + 20*l**2 + 20*l**2 + 7*l**2. Give c(y(z)). 882*z**4 - 84*z**3 + 2*z**2 Let v(x) = -754*x. Let k(p) = 4233*p. Calculate k(v(q)). -3191682*q Let a(v) be the first derivative of -v**2 - 1. Let y = -59 - -77. Let k(o) = -15 - 3 + y + 4*o**2. What is k(a(q))? 16*q**2 Let u(c) = -82*c**2. Let f(v) = 554*v. Calculate u(f(g)). -25167112*g**2 Let d(t) = 2*t**2. Let b(c) = -8*c + 2*c + 2*c + 14*c. Give b(d(w)). 20*w**2 Let s(c) = 584*c. Let t(g) = -31 - 39 - 34 + 2*g**2 + 104. Determine s(t(h)). 1168*h**2 Let s(y) = -4. Let w(q) = q + 22. Let j(r) = -5*s(r) - w(r). Let b(n) = -3*n. What is b(j(t))? 3*t + 6 Let f(j) = -j**2. Let h(s) = 13*s**2 + 6. Let o(r) = -1. Let q(c) = -h(c) - 6*o(c). Give q(f(z)). -13*z**4 Let u(d) = 23*d**2. Let h(t) = -21*t + 57*t - 11*t - 15*t. Determine u(h(p)). 2300*p**2 Let j(g) = -2*g - 7. Let u(m) = 16*m**2 - 16*m**2 + 0*m**2 - m**2. Give j(u(r)). 2*r**2 - 7 Let y(w) = -2*w. Let r(d) = -12*d**2 + 1340*d - 1. What is r(y(j))? -48*j**2 - 2680*j - 1 Let s(h) = 432*h**2 - 4*h - 41. Let y(l) = l**2. Give s(y(t)). 432*t**4 - 4*t**2 - 41 Let g(o) = 4 - 76*o + 43*o - 6. Let m(i) = -4*i**2. What is g(m(b))? 132*b**2 - 2 Let p(m) = 3261*m. Let g(c) = 4*c**2 - 69*c. Give p(g(a)). 13044*a**2 - 225009*a Let l(q) be the third derivative of -q**5/60 + 30*q**2 - 2*q. Let u(o) be the first derivative of 3*o**3 - 3. Calculate l(u(v)). -81*v**4 Let d(t) = 3*t - t - t. Let b(i) be the third derivative of -i**5/60 + i**2 - 206. What is d(b(g))? -g**2 Let d(f) = 4389*f. Let p(i) = -2*i. Determine d(p(z)). -8778*z Let g(q) = 4178*q**2 - 2. Let h(a) = 4*a**2. Determine g(h(m)). 66848*m**4 - 2 Let t(x) = 3*x**2. Let p(s) be the second derivative of 13*s**4/12 + s**2/2 - 8*s + 8. Give p(t(l)). 117*l**4 + 1 Let d(s) = 76*s. Let k(c) = 2*c + 69 - 11*c - 69. Give d(k(t)). -684*t Let a(q) = 5*q + 4. Let b be 9 - (1 + (-2)/(-2)). Let w(z) = 0 - z + b + 10*z. Let g(m) = -7*a(m) + 4*w(m). Let x(n) = -8*n**2. What is g(x(v))? -8*v**2 Let p(i) = 5441*i. Let b(r) = -8*r. Calculate b(p(a)). -43528*a Let d(x) be the first derivative of 0*x + 1 + 0*x**2 + 2/3*x**3. Let p(c) be the first derivative of -10*c**3/3 - 18. What is d(p(z))? 200*z**4 Let i(m) = m. Let y(n) = 353743*n**2. Determine i(y(j)). 353743*j**2 Suppose 14*g + 140 = 18*g. Let d(l) = -g*l + 28*l - 20*l. Let m(u) = -2*u**2. Determine m(d(k)). -1458*k**2 Let p(w) = -2*w**2. Let m(g) = 5517321*g**2. Determine m(p(x)). 22069284*x**4 Let s(u) = -4*u. Let q(f) be the second derivative of f**2/2 + 13*f. Let d(a) = 2*a + 3 - 6 + 1 + 0*a. Let x(b) = -d(b) - 2*q(b). Calculate x(s(z)). 8*z Let a(t) = 11*t**2. Let w(q) be the first derivative of 0*q - 1 - 3/2*q**2. What is w(a(h))? -33*h**2 Let b(n) = 25*n. Let l(q) be the second derivative of -q**3/6 - 103*q. Determine b(l(s)). -25*s Let o(u) be the second derivative of -25*u**4/12 - 5*u + 6. Let f(r) = 2*r. Calculate o(f(l)). -100*l**2 Suppose h + 10 = 3*i, h = 5*i - 20 + 2. Suppose 6*v - 5*x = v + 10, 4*x - 16 = 0. Let z(m) = m - h + v - 4. Let j(c) = -2*c**2. Determine z(j(p)). -2*p**2 Let c(x) = -159*x**2. Let l(v) = -382*v. Give c(l(t)). -23201916*t**2 Let r(l) = -l**2. Let v(a) = -53187*a. Give r(v(b)). -2828856969*b**2 Let f(g) = g**2. Let o(b) = 17*b - 36*b + 19*b + 2 + 6*b**2. Let i(m) = 12*m**2 + 5. Let u(a) = -2*i(a) + 5*o(a). What is f(u(x))? 36*x**4 Let u(d) = 4*d. Let b(a) = a - 1. Let p(v) = 4*v + 3. Let t(k) = -4*k - 2. Let h(z) = 5*p(z) + 6*t(z). Let y(n) = 3*b(n) + h(n). Determine u(y(f)). -4*f Let d(q) = 4*q**2 - 3*q. Let g(v) be the first derivative of -v**3/3 + 55. Calculate g(d(p)). -16*p**4 + 24*p**3 - 9*p**2 Let g(p) = 8*p. Let b(z) be the first derivative of -9*z**2/2 - 67. Calculate b(g(s)). -72*s Let o(q) = -2*q**2. Let i be 10*14/
{ "pile_set_name": "DM Mathematics" }
r y(x). -x*(x - 36)/11 Let n(j) be the second derivative of -j**7/10080 + j**6/1440 - j**5/480 + 5*j**4/2 + j + 1. Let d(b) be the third derivative of n(b). Factor d(q). -(q - 1)**2/4 Let o(c) be the first derivative of c**4/26 + 4*c**3/39 - c**2/13 - 4*c/13 + 20. Suppose o(j) = 0. What is j? -2, -1, 1 Let y(t) be the first derivative of -t**4/9 + 20*t**3/9 + 13. Suppose y(p) = 0. What is p? 0, 15 Let j(g) = g**3 + 13*g**2 + 25*g + 36. Let s be j(-11). Factor -15/2*f**2 + 0*f + 5/2 + 5*f**s. 5*(f - 1)**2*(2*f + 1)/2 Let b be ((-31)/7 - (-15 - -14))*-7. Suppose -34 = b*d - 106. Factor 0 - 12/5*g**2 - 8/5*g - 4/5*g**d. -4*g*(g + 1)*(g + 2)/5 Suppose 1 - 3 = -96*x - 2. Factor x*k + 0 + 1/5*k**2. k**2/5 Suppose -w = -7*w. Let o(d) be the first derivative of 0*d**5 - 1/6*d**6 + w*d**2 + 1/4*d**4 + 0*d**3 + 0*d + 3. Find v, given that o(v) = 0. -1, 0, 1 Let a(w) be the third derivative of w**6/300 - w**4/60 - 57*w**2. Suppose a(m) = 0. What is m? -1, 0, 1 Let n(a) be the second derivative of -a**4/36 + a**3/9 + 4*a**2/3 + a + 106. Factor n(i). -(i - 4)*(i + 2)/3 Suppose 3*u - 34 = u. Suppose -4*d + u = 3*l, d - 5*l + 5 = -8. Factor 8 + x**4 - 4*x + 6*x**2 + x**3 - 6*x**d - 6*x**2. (x - 2)*(x - 1)*(x + 2)**2 Let i(p) be the third derivative of p**8/5040 - p**7/126 + 5*p**6/36 + p**5/15 - 26*p**2. Let t(k) be the third derivative of i(k). Factor t(c). 4*(c - 5)**2 Let s be (-40)/(-35) + 195/105. Factor 0 - 2/3*m - 2/9*m**s - 8/9*m**2. -2*m*(m + 1)*(m + 3)/9 Suppose -372*w + 358*w + 28 = 0. Let y(s) be the third derivative of 1/3*s**3 + 0*s - 5/18*s**4 - 8*s**w + 0 + 5/54*s**5. What is q in y(q) = 0? 3/5 Suppose -2*c = 2*c. Let g = 592 + -590. Determine s so that -1/2*s**3 + c*s - s**g + 0 = 0. -2, 0 What is r in -5*r**2 + 11/2*r**3 + 21/4 - 1/4*r**4 - 11/2*r = 0? -1, 1, 21 Let g(p) be the first derivative of -1/9*p**6 - 1/2*p**4 + 0*p - 2/9*p**3 - 36 - 2/5*p**5 + 0*p**2. Factor g(x). -2*x**2*(x + 1)**3/3 Suppose 5*s - 3*m + 6*m = 18, 4*m - 10 = -2*s. Let z(c) be the second derivative of 0 + 0*c**s + c - 1/24*c**4 + 1/3*c**2 + 1/120*c**5. Factor z(t). (t - 2)**2*(t + 1)/6 Let m(q) be the second derivative of -21*q**5/10 + 25*q**4/4 - 4*q**3 - 9*q**2/2 + 118*q + 2. Factor m(p). -3*(p - 1)**2*(14*p + 3) Let c(z) be the third derivative of -z**9/90720 + z**8/30240 + z**7/1890 - z**6/270 + 5*z**5/12 + 4*z**2. Let u(y) be the third derivative of c(y). Factor u(x). -2*(x - 2)*(x - 1)*(x + 2)/3 Let l(c) = c**2 + 13*c + 44. Let j be (12/(-10))/((-6)/270*-9). Let y be l(j). Factor -r + 3/2 - 1/2*r**y. -(r - 1)*(r + 3)/2 Let d = 4707 + -32947/7. Solve 0*z - 4/7*z**2 - d*z**3 + 0 = 0. -2, 0 Let z be (-2)/((-1326)/1704 + (-9)/(-12)). Let b = z - 69. Find l, given that -9/2 + 3/2*l**3 - 3/2*l**b - 15/2*l = 0. -1, 3 Let c be -8 - 11405/(-600) - 11. Let y(i) be the third derivative of i**2 + 0 - 1/24*i**4 - 1/60*i**5 + 0*i + c*i**6 + 0*i**3 + 1/210*i**7. Factor y(v). v*(v - 1)*(v + 1)**2 Suppose -4*b + 4*c = 0, 0 = -0*b + 3*b + 4*c - 21. Factor 4*d**2 - 2*d**2 - b*d - 3 + d**2 + 3*d**3. 3*(d - 1)*(d + 1)**2 Let t(a) be the first derivative of 0*a + 12 + 1/4*a**2 + 1/12*a**3. Factor t(p). p*(p + 2)/4 Let n = -471 - -8004/17. Let d = 67/187 + n. Factor 0*z**2 + 2/11*z**3 - d*z**4 + 0 + 0*z. -2*z**3*(z - 1)/11 Let o(r) be the third derivative of r**5/12 + 45*r**4/4 + 1215*r**3/2 - 9*r**2. Solve o(l) = 0. -27 Determine d so that -9/5*d + 1/5*d**4 + 2 - 11/5*d**2 + 9/5*d**3 = 0. -10, -1, 1 Let u(t) be the second derivative of 9*t - 2/3*t**2 + 0 + 2/9*t**3 - 1/36*t**4. Factor u(o). -(o - 2)**2/3 Let y(i) = i**2 + 7*i + 10. Let r be y(-5). Factor -9*h**2 + 17 - 3*h**3 + r*h**2 - 17. -3*h**2*(h + 3) Suppose i + 9*i = 50. Determine l so that -90*l + i*l**2 - 37 + 199 - 43 + 286 = 0. 9 Let u(y) be the third derivative of 0*y + 1/5*y**5 - 4/105*y**7 + 1/56*y**8 - 1/15*y**6 + 7*y**2 + 1/12*y**4 - 2/3*y**3 + 0. Factor u(v). 2*(v - 1)**3*(v + 1)*(3*v + 2) Let i(k) be the third derivative of 0*k + 0*k**3 - 1/672*k**8 + 0*k**7 + 0*k**5 + 1/120*k**6 - 12*k**2 - 1/48*k**4 + 0. Factor i(f). -f*(f - 1)**2*(f + 1)**2/2 Let r(v) be the first derivative of -2*v**5/45 + 10*v**3/27 - 8*v/9 + 27. Suppose r(q) = 0. Calculate q. -2, -1, 1, 2 Suppose 2*g + 6 = -u + 15, 5*u = 3*g + 19. Suppose -w - 2 = -4*w - g*y, -w - 1 = y. Solve 4/5*v**5 + 3/5*v**3 + 0*v**2 - 7/5*v**w + 0 + 0*v = 0. 0, 3/4, 1 Let l be 51/(-85) + 113/5. Let z = -22 + l. Suppose 2/9*u**2 + z - 2/9*u = 0. Calculate u. 0, 1 Let z = 125/452 + -3/113. Let t(y) be the second derivative of 0*y**3 + 0 - 6*y - 1/10*y**6 - z*y**4 + 0*y**2 + 3/10*y**5. Let t(b) = 0. What is b? 0, 1 Factor -230*i**4 + 233*i**4 - 2*i + i - 25*i**3 - 23*i + 0*i + 46*i**2. i*(i - 6)*(i - 1)*(3*i - 4) Let d = -831 + 112186/135. Let y(h) be the second derivative of -2/3*h**4 - 3*h**2 - 2*h**3 - 1/9*h**5 + 0 - d*h**6 - 4*h. Factor y(j). -2*(j + 1)*(j + 3)**3/9 Let d be (-6*(-2)/(-3))/(2/(-53)). Suppose 0 = -d*i + 99*i + 14. Determine n, given that -1/4*n + 1/2*n**i - 1/4 = 0. -1/2, 1 Let q = 74 - 72. Let k(h) be the third derivative of 1/4*h**3 - 3/32*h**4 + 0*h + 1/80*h**5 + 0 + 3*h**q. Factor k(v). 3*(v - 2)*(v - 1)/4 Let w(x) be the third derivative of 1/195*x**5 + 0 - 10*x**2 + 7/156*x**4 + 4/39*x**3 - 1/780*x**6 + 0*x. Suppose w(y) = 0. What is y? -1, 4 Let f(k) be the first derivative of -3/16*k**4 - 3/20*k**5 + 9 + 0*k + 3/8*k**2 + 1/4*k**3. Let f(s) = 0. Calculate s. -1, 0, 1 Find f, given that -2/3*f**4 + 40/21*f + 8/21 - 10/21*f**5 + 26/21*f**3 + 62/21*f**2 = 0. -1, -2/5, 2 Suppose -20 = 3*p - 4*t, 0 = -2*p + t + t - 10. Let d(g) be the third derivative of p + 3/13*g**3 + 0*g + 1/26*g**4 + 6*g**2 + 1/390*g**5. Factor d(k). 2*(k + 3)**2/13 Let 83*v**2 - 27*v - 27 - v**3 - 178*v**2 + 86*v**2 = 0. What is v? -3 Let h(x) be the third derivative of -x**9/120960 + x**8/5760 - 31*x**5/60 + 38*x**2. Let q(v) be the third derivative of h(v). Suppose q(f) = 0. Calculate f. 0, 7 Let c(x) be the first derivative of -4*x**3/3 - 16*x**2 - 28*x - 73. Factor c(g). -4*(g + 1)*(g + 7) Let a(v) = v**2 + 6*v + 4. Suppose -3*h = -10*h - 42. Let q be a(h). Factor 0*u**2 - 8/7*u**3 - 4/7 + 8/7*u + 4/7*u**q. 4*(u - 1)**3*(u + 1)/7 Let v(w) = -3*w**2 - 11*w - 1. Let f = 12 + -4. Let k(q) = f*q**2 + 1 + q**2 - 8*q**2 + q. Let c(y) = 6*k(y) - 2*v(y). Factor c(x). 4*(x + 2)*(3*x + 1) Let h(q) be the first derivative of 1/9*q**3 + 25/3*q + 5/3*q**2 + 13. Determine p, given that h(p) = 0. -5 Let l(p) be the third derivative of -p**9/7560 + p**8/1680 - p**7/1260 - 13*p**4/24 + 4*p**2. Let d(y) be the second derivative of l(y). Factor d(m). -2*m**2*(m - 1)**2 Factor 0 + 2*v - 1/6*v**2. -v*(v - 12)/6 Let f(c) be the second derivative of -c**5/90 + 2*c**4/9 - 20*c**3/27 + 23*c - 2. Find r such that f(r) = 0. 0, 2, 10 Let g(y) be the second derivative of 3*y**7/14 + 7*y**6/10 - 9*y**5/20 - 11*y**4/4 + 6*y**2 + 160*y - 1. Determine t so that g(t) = 0. -2, -1, 2/3, 1 Suppose 3*c - 138 = 4*a, 3*a - c + 48 = -58. Let p be (-2 - 1)*a/486. Factor -8/9 - p*x**2 + 8/9*x. -2*(x - 2)**2/9 Let u = 1049 - 1049. Let i(c) be the third derivative of 1/132*c**4 + 3*c**2 + 0 + 1/165*c**5 + 0*c + u*c**3 + 1/660*c**6. Solve i(x) = 0. -1, 0 Let f(q) = q**5 - q**2 - q. Let z(a) = -16*a**5 - 4*a**4 + 126*a**3 - 82*a**2 - 26*a. Let m(k) = -4*f(k) + 2*z(k). Solve m(i) = 0. -3, -2/9, 0, 1, 2 Let u(d) = 6*d**3 + 15*d**2 + 3. Let a(c) = -c**4 - 19*c**3 - 43*c**2 - c - 8. Let f(m) = 3*a(m) + 8*u(m). What is k in f(k) = 0? -1, 0 Factor -10/11 - 8/11*w + 2/11*w**2. 2*(w - 5)*(w + 1)/11 Let s(p) be the second derivative of 5*p**4/12 - 35*p**3/6 + 15*p**2 - 3*p + 18. Factor s(k). 5*(k - 6)*(k - 1) Let x = 13121/105096 + 2/13137. Let -1/8*z**5 + 0 - 1/8*z**2 + x*z**4 + 1/8*z**3 + 0*z = 0. What is z? -1, 0, 1 Let y(v) be the second derivative of v**4/4 + 2*v**3 + 9*v**2/2 - 2*v - 20. Factor y(b). 3*(b + 1)*(b + 3) Let h(k) be the third derivative of -k**9/7560 - k**8/3360 + 5*k**4/12 - 14*k**2. Let s(w) be the second derivative of h(w). Factor s(d). -2*d**3*(d + 1) Let m(z) = -18*z + 9*z - 14 + 6*z. Let v be m(-6). Let v*k**3 - 13*k**2 - 6*k - k**3 + 16*k**2 = 0. What is k? -2, 0, 1 Let v be 12/22 - (-1407)/(-2640). Let k(n) be the third derivative of 0*n + v*n**5 + 3/32*n**4 + 0*n**3 + 0 - 12*n**2. Find z, given t
{ "pile_set_name": "DM Mathematics" }
common factor of 13675 and 225. 25 What is the greatest common divisor of 1764 and 457884? 252 Calculate the greatest common factor of 262 and 176326. 262 Calculate the greatest common divisor of 48401 and 11629. 29 What is the highest common factor of 28 and 68? 4 What is the greatest common divisor of 545715 and 21177? 1629 What is the highest common divisor of 123690 and 80? 10 What is the highest common factor of 246 and 14796? 6 What is the greatest common divisor of 1035 and 348210? 45 Calculate the greatest common factor of 21330 and 170. 10 What is the greatest common factor of 331 and 11? 1 What is the greatest common factor of 26033 and 28? 7 What is the highest common divisor of 7634813 and 10805? 2161 Calculate the highest common divisor of 14828 and 16. 4 What is the greatest common divisor of 434 and 1395? 31 What is the greatest common factor of 775 and 42005? 155 Calculate the greatest common factor of 28197 and 468. 117 Calculate the greatest common factor of 9327 and 15. 3 Calculate the greatest common divisor of 636 and 1848. 12 Calculate the highest common divisor of 1860 and 3160. 20 Calculate the greatest common divisor of 235 and 652031. 47 What is the greatest common divisor of 16859 and 529? 23 What is the highest common divisor of 938 and 66866? 134 Calculate the greatest common divisor of 52 and 2020304. 52 Calculate the highest common divisor of 1034701 and 23. 23 What is the greatest common factor of 11 and 109? 1 What is the highest common divisor of 1228312 and 380? 76 Calculate the greatest common divisor of 27 and 157761. 27 Calculate the highest common divisor of 18256 and 21. 7 Calculate the greatest common factor of 145124 and 112. 28 What is the highest common factor of 254711 and 34? 17 Calculate the greatest common divisor of 6027 and 2359. 7 What is the highest common divisor of 29097 and 28143? 477 Calculate the greatest common divisor of 4930 and 9. 1 Calculate the highest common factor of 14183 and 533. 13 Calculate the highest common divisor of 2192 and 832. 16 What is the highest common divisor of 25380 and 5060? 20 What is the highest common factor of 36676 and 212? 212 Calculate the highest common divisor of 56653 and 939. 313 Calculate the greatest common divisor of 874 and 82327. 19 What is the highest common factor of 32565 and 105? 15 What is the highest common divisor of 2634018 and 1422? 474 Calculate the highest common factor of 8 and 103568. 8 Calculate the highest common divisor of 29 and 735817. 29 Calculate the greatest common factor of 30156 and 1344. 84 Calculate the highest common divisor of 74 and 8752. 2 Calculate the greatest common divisor of 1436830 and 30. 10 What is the highest common factor of 162049 and 10741? 467 Calculate the greatest common divisor of 4946688 and 192. 192 What is the highest common factor of 2080 and 81640? 520 Calculate the highest common factor of 632240 and 40. 40 Calculate the greatest common divisor of 450 and 290910. 30 Calculate the greatest common divisor of 88831 and 211. 211 What is the highest common factor of 753888 and 864? 96 Calculate the highest common divisor of 648 and 50139. 81 What is the greatest common factor of 296 and 392? 8 What is the greatest common divisor of 9191034 and 6? 6 What is the highest common factor of 8544240 and 9? 9 Calculate the greatest common factor of 1189 and 348. 29 Calculate the greatest common factor of 21484 and 61439. 131 Calculate the greatest common divisor of 130 and 24670. 10 Calculate the greatest common factor of 126 and 102522. 42 Calculate the highest common divisor of 123448 and 9568. 104 What is the highest common divisor of 92813 and 875? 7 What is the highest common divisor of 476 and 110194? 238 Calculate the highest common divisor of 30 and 440120. 10 What is the greatest common divisor of 3248 and 336980? 812 What is the greatest common divisor of 2769822 and 297? 297 What is the greatest common divisor of 962 and 19812? 26 What is the greatest common factor of 10373 and 5819? 253 What is the highest common divisor of 5206353 and 1042? 521 What is the greatest common factor of 12 and 8984? 4 What is the greatest common divisor of 307452 and 12? 12 What is the greatest common factor of 20427 and 825? 33 What is the greatest common factor of 918 and 14586? 102 What is the greatest common factor of 820 and 1025? 205 Calculate the greatest common factor of 1064 and 126084. 532 Calculate the highest common factor of 109068 and 84. 12 What is the greatest common divisor of 22 and 1489796? 22 What is the highest common divisor of 11804 and 11856? 52 What is the greatest common factor of 4978 and 19126? 262 Calculate the highest common divisor of 2125086 and 18. 6 What is the highest common factor of 4665 and 1085? 5 Calculate the greatest common divisor of 6027 and 50176. 49 Calculate the greatest common divisor of 91498 and 5654. 22 What is the greatest common factor of 404877 and 66? 33 What is the greatest common factor of 304 and 247? 19 What is the highest common divisor of 63192 and 168? 24 Calculate the greatest common divisor of 34619 and 416. 13 Calculate the highest common factor of 150117 and 99. 33 What is the greatest common divisor of 6 and 75? 3 Calculate the highest common divisor of 180580 and 100. 20 Calculate the highest common divisor of 1138362 and 3390. 678 What is the highest common divisor of 26 and 176813? 13 What is the greatest common divisor of 654 and 17222? 218 Calculate the greatest common factor of 31171 and 3066. 511 Calculate the greatest common divisor of 7468 and 60. 4 What is the greatest common divisor of 903 and 1080289? 301 What is the highest common divisor of 187 and 825? 11 What is the greatest common factor of 50557 and 52? 13 Calculate the highest common divisor of 1908 and 516. 12 Calculate the highest common divisor of 1078 and 2728. 22 What is the greatest common divisor of 4912 and 80? 16 What is the greatest common factor of 38 and 5149? 19 What is the highest common divisor of 25 and 14408? 1 Calculate the highest common divisor of 7875 and 405. 45 Calculate the greatest common factor of 612 and 257958. 306 What is the greatest common divisor of 44 and 653829? 11 What is the highest common divisor of 1419 and 99201? 129 Calculate the highest common factor of 16 and 121744. 16 What is the highest common divisor of 72802 and 7120? 178 Calculate the greatest common divisor of 19695 and 25. 5 What is the highest common divisor of 225635 and 10? 5 Calculate the highest common factor of 51567 and 144. 3 What is the greatest common divisor of 297032 and 642? 214 Calculate the highest common factor of 7528 and 24. 8 Calculate the greatest common factor of 747 and 4383. 9 Calculate the greatest common divisor of 11538 and 298706. 1282 Calculate the greatest common factor of 10944 and 190080. 576 What is the greatest common factor of 1085977 and 254? 127 Calculate the greatest common factor of 294390 and 270. 90 What is the greatest common divisor of 138 and 1716076? 46 What is the greatest common factor of 1037 and 16084907? 1037 Calculate the highest common divisor of 7120 and 230. 10 Calculate the greatest common factor of 164666 and 6182. 562 Calculate the highest common factor of 33894 and 162. 18 What is the highest common factor of 2660 and 267995? 665 What is the highest common factor of 6526 and 130? 26 What is the greatest common divisor of 197 and 2968790? 197 Calculate the greatest common divisor of 85 and 53329. 17 What is the greatest common divisor of 364 and 165802? 182 Calculate the highest common factor of 78 and 251706. 78 Calculate the greatest common factor of 2347294 and 807. 269 Calculate the greatest common divisor of 338 and 311129. 169 What is the greatest common divisor of 1530 and 270? 90 Calculate the greatest common divisor of 4 and 976012. 4 Calculate the highest common factor of 5368 and 649. 11 Calculate the greatest common divisor of 4992 and 5376. 384 What is the greatest common divisor of 6056 and 8? 8 Calculate the greatest common factor of 714 and 84. 42 Calculate the highest common divisor of 378 and 602. 14 Calculate the highest common divisor of 2852 and 8990. 62 Calculate the highest common factor of 1496 and 2
{ "pile_set_name": "DM Mathematics" }
sss? 1 Three letters picked without replacement from {p: 10}. Give prob of sequence ppp. 1 Four letters picked without replacement from {k: 1, i: 3}. Give prob of sequence kiii. 1/4 What is prob of sequence lt when two letters picked without replacement from {t: 2, e: 3, l: 15}? 3/38 Calculate prob of sequence ycy when three letters picked without replacement from yycy. 1/4 Three letters picked without replacement from lvllvkkvlklzkvvkklk. Give prob of sequence lvv. 20/969 What is prob of sequence www when three letters picked without replacement from wchhhhhhwhwwh? 2/143 Four letters picked without replacement from {v: 2, l: 2, b: 1, j: 1, p: 1, k: 1}. Give prob of sequence pjbl. 1/840 What is prob of sequence kkmk when four letters picked without replacement from wwmkwkkkkwk? 1/66 What is prob of sequence fs when two letters picked without replacement from {w: 3, x: 1, f: 1, s: 1, r: 1}? 1/42 Two letters picked without replacement from kkkjnjgkkkknknnnkgnk. Give prob of sequence jk. 1/19 Calculate prob of sequence ki when two letters picked without replacement from {i: 1, k: 5, o: 4}. 1/18 Two letters picked without replacement from {q: 7, o: 8, v: 3}. Give prob of sequence qq. 7/51 Calculate prob of sequence lnw when three letters picked without replacement from {x: 2, w: 3, s: 1, n: 1, l: 1, y: 5}. 1/572 Four letters picked without replacement from {u: 2, i: 1, p: 1, d: 3}. What is prob of sequence idpu? 1/140 What is prob of sequence xo when two letters picked without replacement from {h: 1, b: 3, x: 10, o: 2, w: 3}? 10/171 Calculate prob of sequence zvqp when four letters picked without replacement from {v: 1, q: 5, p: 2, c: 1, z: 7}. 1/624 Three letters picked without replacement from lalbiiiaaliiuir. What is prob of sequence irb? 1/455 Three letters picked without replacement from hggfp. What is prob of sequence ggf? 1/30 Three letters picked without replacement from {k: 1, n: 1, h: 1, u: 1, j: 3, d: 5}. What is prob of sequence jjn? 1/220 Two letters picked without replacement from {z: 2, g: 2, k: 1}. Give prob of sequence zz. 1/10 What is prob of sequence coco when four letters picked without replacement from cccoco? 1/15 Calculate prob of sequence zuu when three letters picked without replacement from {z: 3, u: 3}. 3/20 Three letters picked without replacement from akgagaskaasa. Give prob of sequence aaa. 1/11 Two letters picked without replacement from hhhul. What is prob of sequence hh? 3/10 What is prob of sequence zazu when four letters picked without replacement from zauiaaz? 1/140 Calculate prob of sequence uue when three letters picked without replacement from {r: 12, e: 4, u: 4}. 2/285 Two letters picked without replacement from {o: 1, p: 3, u: 4, h: 2, s: 1}. What is prob of sequence pp? 3/55 Two letters picked without replacement from {f: 3, v: 1, g: 4, x: 2, s: 1, y: 1}. Give prob of sequence sv. 1/132 What is prob of sequence rr when two letters picked without replacement from {r: 17, m: 3}? 68/95 What is prob of sequence bg when two letters picked without replacement from gbggooogggbog? 7/78 Two letters picked without replacement from jmrmrrrrmqqgrq. Give prob of sequence rr. 15/91 Three letters picked without replacement from {m: 4, y: 2, i: 1, z: 1, q: 2, w: 4}. What is prob of sequence qmw? 4/273 Two letters picked without replacement from uumwmumwmmmmmmmmmm. What is prob of sequence mu? 13/102 What is prob of sequence eyeq when four letters picked without replacement from {q: 8, e: 5, y: 5}? 5/459 Two letters picked without replacement from {m: 1, h: 1, w: 3}. What is prob of sequence wh? 3/20 What is prob of sequence mwnw when four letters picked without replacement from jjeejjmwwn? 1/2520 Two letters picked without replacement from {m: 4, a: 2, l: 1}. What is prob of sequence lm? 2/21 What is prob of sequence qte when three letters picked without replacement from {q: 1, t: 5, c: 3, j: 2, e: 1}? 1/264 Calculate prob of sequence rs when two letters picked without replacement from rcrcsscjcvttcct. 2/105 What is prob of sequence hfw when three letters picked without replacement from hiiiififrwirbi? 1/1092 Calculate prob of sequence ssx when three letters picked without replacement from {x: 4, s: 3}. 4/35 Three letters picked without replacement from {a: 3, i: 3, s: 5, e: 2, w: 1, d: 1}. What is prob of sequence esd? 1/273 Calculate prob of sequence cf when two letters picked without replacement from {c: 2, f: 5}. 5/21 Three letters picked without replacement from ooooooo. Give prob of sequence ooo. 1 Calculate prob of sequence hh when two letters picked without replacement from mhmmhmhmmmhmmmmmhmm. 10/171 Two letters picked without replacement from ueyeeeyeuueeeoeue. What is prob of sequence oe? 5/136 Two letters picked without replacement from {z: 4, l: 2, f: 1}. Give prob of sequence ll. 1/21 Three letters picked without replacement from uuduggnunlumuu. What is prob of sequence ndu? 1/156 What is prob of sequence rj when two letters picked without replacement from jcqcrccq? 1/56 Four letters picked without replacement from {f: 2, u: 7}. What is prob of sequence ufuf? 1/36 Two letters picked without replacement from ddrdrdrd. What is prob of sequence rd? 15/56 What is prob of sequence ar when two letters picked without replacement from rffhahhha? 1/36 Calculate prob of sequence noz when three letters picked without replacement from ginwzioog. 1/252 Three letters picked without replacement from pllvplllppvpppppl. Give prob of sequence plp. 9/85 Calculate prob of sequence wtq when three letters picked without replacement from {q: 1, t: 2, w: 1, d: 4}. 1/168 Four letters picked without replacement from ckktkpkpktkpktpkttpk. Give prob of sequence pppp. 1/969 Two letters picked without replacement from {r: 4, g: 1, q: 1, a: 2}. What is prob of sequence rq? 1/14 Two letters picked without replacement from {e: 3, n: 15}. What is prob of sequence ne? 5/34 Two letters picked without replacement from ssbssbsssssb. Give prob of sequence ss. 6/11 Calculate prob of sequence bb when two letters picked without replacement from {f: 2, l: 1, w: 1, b: 2, x: 4}. 1/45 What is prob of sequence eeee when four letters picked without replacement from {e: 7}? 1 What is prob of sequence vv when two letters picked without replacement from vddvv? 3/10 Four letters picked without replacement from {k: 1, c: 1, r: 2, d: 1, a: 2, j: 1}. What is prob of sequence ckrr? 1/840 What is prob of sequence dd when two letters picked without replacement from ddddduuddududd? 45/91 Two letters picked without replacement from uqdqqqqqqqqqqqqdduqq. What is prob of sequence ud? 3/190 Two letters picked without replacement from rfwsu. What is prob of sequence wf? 1/20 Calculate prob of sequence qqzz when four letters picked without replacement from {z: 8, q: 5}. 28/429 Two letters picked without replacement from mzmygtgztlmgmyt. What is prob of sequence zl? 1/105 What is prob of sequence wl when two letters picked without replacement from tmllwttttiiit? 1/78 Calculate prob of sequence oo when two letters picked without replacement from {r: 1, o: 2, y: 1, c: 3}. 1/21 Calculate prob of sequence ayaa when four letters picked without replacement from aabayyaaaaabayabaa. 11/204 Calculate prob of sequence qx when two letters picked without replacement from qqcxxxxxxcxxxqxxxx. 13/102 What is prob of sequence jjj when three letters picked without replacement from bbj? 0 Calculate prob of sequence rx when two letters picked without replacement from arxrarbnxaaxbrrrrxb. 14/171 Calculate prob of sequence gl when two letters picked without replacement from gxxpxpglx. 1/36 Three letters picked without replacement from {c: 4, p: 4, k: 7}. What is prob of sequence kkk? 1/13 Calculate prob of sequence yyyq when four letters picked without replacement from yqbbxyxyyqyyqxqxyx. 7/612 Calculate prob of sequence uu when two letters picked without replacement from {l: 1, u: 12}. 11/13 Four letters picked without replacement from {n: 1, t: 1, c: 1, z: 3, u: 2, a: 3}. What is prob of sequence ztaa? 1/440 What is prob of sequence gopd when four letters picked without replacement from dpddogdpg? 1/189 Three letters picked without replacement from waka. Give prob of sequence aaw. 1/12
{ "pile_set_name": "DM Mathematics" }
33/9 + u/(-6). Let w(g) = -g**2 + 4*g - 2. Determine w(j). -2 Let y(h) = h + 5. Suppose -w = 3*w + 60. Let g = 11 + w. Give y(g). 1 Let c(q) be the third derivative of q**8/10080 - q**7/1260 - q**5/30 + q**2. Let g(b) be the third derivative of c(b). Determine g(3). 6 Let k(o) = 8*o + 1. Suppose 3*q - 5*a + 2*a + 15 = 0, 3*a - 6 = 0. Let d = q - -2. Give k(d). -7 Let s(v) = 10*v**2 - 12*v**2 + 0*v - 5*v. Determine s(-4). -12 Let m(u) be the second derivative of -u**3/6 + 4*u**2 + u. Let c(l) = -4*l - l - 2*l**2 + l**2. Let f be c(-5). Give m(f). 8 Let w(g) = 4 - 8*g - 1 - 5 + 1. Suppose 4*m + s = -0 - 1, -2*m = 2*s - 4. Let i = m + 0. Determine w(i). 7 Let m(i) = i**2 - 2*i - 4. Let k(r) = -r**3 - 12*r**2 - 10*r + 15. Let n be k(-11). Determine m(n). 4 Let z(x) be the second derivative of -x**5/20 - x**4/12 - x**3/6 + 4*x**2 + 6*x. Calculate z(0). 8 Let l(k) = -2*k. Suppose 4*t - 19 = -5*h, 4*t - 5*h + 0*h = -11. Let x be (t/(3/12))/(-1). Calculate l(x). 8 Suppose -r = -2*r + 4. Let p(l) = -89 + l + 0*l + 89. Give p(r). 4 Let t = 65 + -73. Let u(x) = -x**2 - 8*x + 8. Determine u(t). 8 Let o(k) = -2 + 7*k + 9*k - 2*k**2 - 13*k. Give o(2). -4 Let f(n) = -n**3 + 4*n**2 - 4*n + 3. Let v be f(2). Let x = 9 + -5. Let g(j) = 3 - 3 + 1 - x*j. Determine g(v). -11 Let t(z) = 198*z - 394*z + 195*z + 4. Determine t(7). -3 Let n(q) = q**2 + 4*q. Suppose 8 = -0*a + 2*a. Suppose -4*u + 4*g = 6*g + a, 4*u = -g - 8. What is n(u)? -3 Let m(a) = -a**2 + 11*a - 4. Let f(d) be the third derivative of -d**4/24 + 2*d**2. Let c(p) = -5*f(p) - m(p). Calculate c(5). -1 Let n(c) be the second derivative of 3*c + 1/2*c**3 + 5/12*c**4 - 2*c**2 - 1/20*c**5 + 0. Give n(5). 11 Let q(y) be the second derivative of 0 - y**2 - 1/2*y**3 - 4*y - 1/6*y**4. Suppose 8 = -n - 3*n. Give q(n). -4 Let h(p) be the third derivative of p**6/180 - p**4/6 + 9*p**2. Let v(n) be the second derivative of h(n). Give v(-1). -4 Let q(v) = v**2 - 11*v - 8. Let z(t) = t**2 - t - 1. Let k(o) = q(o) - 2*z(o). Calculate k(-7). 8 Let r(z) = z**3 - 4*z**2 + 2*z. Suppose -2*q - 86 = -4*q - k, 2*q = -4*k + 80. Let v be 0 - 1 - q/(-11). Give r(v). -3 Let b = 11 - 9. Let g be 4 - b/(-6)*-6. Let d(t) = 3*t**2 + 2*t - 3. Calculate d(g). 13 Let s(b) = b**3 + b**2 - b - 2. Let r = 1 - -2. Suppose r*x + 5 = a, -x + 3*a - 8*a = 7. What is s(x)? -4 Let g(i) = -i**3 + 3*i**2 + 2*i - 4. Let x be (1 - -4)*(-3)/(-5). Suppose -5*f + 4*m = -7, 2*m = f - m + x. What is g(f)? 2 Let k(v) = 5*v. Let q(p) = p**3 - 2*p**2 + 2*p. Let c be q(2). Calculate k(c). 20 Let g(h) = -h**3 + h**2 + h. Suppose 7*j - 16 = 3*j - 5*v, -5*j = 4*v - 20. Let l = 8 - j. Let b(p) = -p**2 + 3*p + 3. Let q be b(l). Calculate g(q). 1 Let i(m) = -1. Let t(h) be the first derivative of -3/2*h**2 + 4 - 4*h. Let d(v) = -2*i(v) + t(v). Calculate d(2). -8 Let g be ((-5)/(-3) + -2)*0. Let i(c) = c**2 + 2*c + 0*c**2 + 12 - 15 + g*c**2. Give i(-3). 0 Let p(v) = -v**2 - v + 2. Let o be p(-3). Let i = -3 - o. Suppose 3*n + 2 + i = 4*b, -2*b = -5*n + 9. Let l(h) = -3*h + 2. Give l(b). -7 Let m(f) be the first derivative of -f**7/840 - f**6/72 - 7*f**5/120 - f**4/4 + 2*f**3 + 6. Let w(g) be the third derivative of m(g). Calculate w(-4). 6 Suppose -9*x - 8 = -5*x. Let f(g) = -2*g**2 - 4*g - 2. Give f(x). -2 Let p(w) = w**2 + 2*w - 4. Let d(x) = x**2 - x + 1. Let j(a) = -3*d(a) - p(a). Determine j(2). -13 Let i(v) = -4 + 1 + 0*v + 2*v - v**2 - 3*v. Calculate i(0). -3 Let t(o) be the third derivative of -o**6/120 - o**5/15 + o**3/3 + 4*o**2. Let k be t(-4). Let s be (-36)/9 - 2/k. Let p(f) = -f**3 - 5*f**2 + f - 2. Give p(s). -7 Let d(t) = -6*t + 1. Suppose 0*x + c = 4*x - 5, 0 = -2*x - 5*c + 19. Suppose 0 = -2*z - 2*o - 8, -x*z + 10 = -5*o - 17. Calculate d(z). -5 Let q(s) be the third derivative of -s**4/8 + s**3/3 - 13*s**2. What is q(2)? -4 Let v be 0*1/6*-3. Suppose f + f - 12 = v. Let i(u) = 1 - 2*u + 2 + 4. Give i(f). -5 Let n(t) = -t**2 + 4*t - 2. Let o(q) = -q**2 - 13*q - 33. Let m be o(-9). Give n(m). 1 Let v(r) be the first derivative of r**6/180 + r**5/120 - r**4/24 + r**3 - 2. Let z(w) be the third derivative of v(w). Calculate z(1). 2 Let o be 6/(-2)*1 - -2. Let c(x) be the third derivative of 2*x**5/15 - x**4/24 - 7*x**2 + 2. Determine c(o). 9 Let j(w) = -3*w + 2 + 0 + 6*w + 1. Suppose -n = -3*s + 6, 0 = 5*n - s - 3*s + 19. Give j(n). -6 Let k(w) = 4*w**2 + 3*w. Let g be k(-2). Let y be 2*1*25/g. Let t(n) = -3*n**2 - 4*n + 2*n**2 + y - 2. What is t(-4)? 3 Let f(l) = -9*l + 7. Let o(t) = -27*t + 19. Let u(d) = 11*f(d) - 4*o(d). Suppose -i + 0*i = -4. Suppose -g = -i, -4*k - g = -3*k - 3. Give u(k). -8 Let r(n) = n**2 + n + 12. Suppose 4*d - 8*d + 12 = 0, -a - 3*d + 9 = 0. Determine r(a). 12 Let a(n) = 1 + n**3 - 3*n**2 + n**3 + 4*n - 3*n**3. What is a(-4)? 1 Let y(i) = 5*i**2 - 95 - 6*i + 0*i**3 + 102 + i + i**3. What is y(-6)? 1 Let m(x) be the second derivative of x**4/12 - 11*x**3/6 + 6*x**2 + 4*x. Determine m(9). -6 Let b(x) = -x**2 + 2 - 3*x - 1 - 2. What is b(-2)? 1 Let g(t) be the first derivative of t**6/120 + t**5/15 + t**4/8 + t**3/3 - t**2 - 6. Let q(i) be the second derivative of g(i). Let w = -8 - -5. What is q(w)? 2 Let g(m) = m + 9. Let l be g(-5). Suppose l = -2*h + h. Let k(n) = -1 - 1 - n + 0. Calculate k(h). 2 Let j(h) = 5*h**2 - h + 1. Let z(x) = x + 1. Let r be z(0). Calculate j(r). 5 Let y be ((-2)/4)/(7/(-42)). Suppose 15 = -y*n, 4*n + 2 = -5*a - 3. Let p(k) = -3 - 1 + 2 + 0*k**a + k**3 - 3*k**2 - k. Calculate p(3). -5 Let c(m) = -9*m + 1. Let v(s) = 1. Let x(p) = -14*p + 5. Let h(t) = -4*v(t) + x(t). Let d(l) = -8*c(l) + 5*h(l). What is d(3)? 3 Suppose -4*u - 8 = -16. Suppose 5*v = 5*k + 6*v - 18, 5*v = -3*k + u. Let s(w) = w**3 - 5*w**2 + 3*w + 2. Determine s(k). -2 Suppose -2 = -s + 1. Suppose -3*z = s*m + 27, 0 = -6*m + m - 20. Let u(n) = -n**3 - 6*n**2 - 5*n - 3. Calculate u(z). -3 Let y(n) be the third derivative of -n**6/120 + n**5/30 + n**4/12 + n**3/3 - n**2. Give y(3). -1 Suppose -3*b + 35 = -5*s - b, b = -2*s - 14. Let m(p) = p**2 + 5*p - 8. Let r be m(s). Let x(k) = -1 - 2 + r*k + 3. Calculate x(1). 6 Let r(w) be the first derivative of -w**3 + 7 + 2*w**2 - 3*w + 1/4*w**4. Give r(2). 1 Let s be (-15)/(-6)*4/(-5). Let z be (-3)/(3/(-2)) - s. Let v(l) = -l**2 + 2*l - 2. What is v(z)? -10 Let w(t) = -3*t + 4*t + 4*t - 7*t. Determine w(3). -6 Let d(k) be the first derivative of k**6/120 + k**5/12 - k**4/24 - k**3/2 + 3*k**2/2 + 2. Let i(s) be the second derivative of d(s). What is i(-5)? 2 Let p(m) = -4 - 3 - m + 0. Determine p(-7). 0 Let a(w) = w**3 - 6*w**2 + 6*w - 4. Let k be (-15)/(-60)*16*1. Determine a(k). -12 Let y be 16/4 + -1 - 2. Suppose -v + 3*r - y = 6, v = -2*r - 2. Let f(x) = 3*x - 2*x + x + 1. Determine f(v). -7 Let c = -26 + 62. Let y be (-7)/9 + (-8)/c. Let u(x) = -2*x**3 + x + 1. What is u(y)? 2 Suppose 3*o - 3 = 3. Let b(m) = 4*m**3 - 13*m**3 + 3*m**3 - o*m + 1. Calculate b(1). -7 Let s be ((-2)/(-7))/((-3)/(-21)). Let a(g) = 0*g + 3 + 8*g - g - 2*g**2 - s*g. What is a(4)? -9 Suppose -2*z + 7*z - 4*m + 20 = 0, -z - 2*m = -10. Let r(v) be the second derivative of -7/2*v**2 + 0 + v - 1/6*v**3. Determine r(z). -7 Suppose 3 = -14*q - 11. Let b(h) = -14*h. Determine b(q). 14 Let f be (1 - -2)/(1/3). Suppose 3*k - f = 6. Let w(q) = -q + 0*q + 2*q - 4. What is w(k)? 1 Suppose -2*y - 42 = 3*g - 0*y, -y = 2*g + 27. Let n be (g/(-10))/((-9)/(-30)). Let i(x) = x + 1 - 1 - 4*x + n*x**2 + 2. Give i(2). 12 Let s(q) = 2*q - 13. Let u(y) = -y + 6. Let l(c) = 4*s(c) + 9*u(c). Let r(z) = 2*z - 2. Let x be r(2). What is l(x)? 0 Let x be (-6)/27 + 6/27. Let v be x - 1 - 0/(-1). Let o(q) be the first derivative of 3*q**4/4 + q**3/3 - q**2/2 - q - 1. Calculate o(v). -2 Suppose -1 - 3 = 4*a. Let q(i) be the third derivative of 1/12*i**4 - 8*i**2 + 0 + 0*i - 1/6*i**3. Give q(a). -3 Let k be (0/(1/1))/2. Suppose -5*n + 10*n = k. Let t = -2 + n. Let c(j) = -4*j - 1. What is c(t)? 7 Suppose -5*a = 5*b, -3*b = a + 16 - 6. Let n(r) = 0*r + r + 0*r + 5. Calculate n(b). 0 Let h(l) = -5*l**2 - 3*l + 1. Let r(u) = 10*u**2 + 7*u - 3. Let x = 1 + -6. Let c(y) = x*h(y) - 2*r(y). Let n be ((-4)/(-6))/(2/(-3)). Give c(n). 5 Let z(w) = -w**3 - w**2 + 4*w + 1. Let s be z(-2). Let x(c) = c**3 + 2*c**2 + c. Calculate x(s). -12 Let w(y) =
{ "pile_set_name": "DM Mathematics" }
ssuming i is positive. i**(527/80) Simplify (f/f**5*f**(-18)*f)/((f/((f/(f*f**(-9/4)))/f))/(f/f**(2/11))) assuming f is positive. f**(-877/44) Simplify (y**15*y*y**(-19))**(-18/7) assuming y is positive. y**(54/7) Simplify ((v**(-1))**(-45)/(v**1)**(-29))**3 assuming v is positive. v**222 Simplify ((h**20/h)/h)/((h**2/h*h)/h)*(h*h**(-9)/h*h)/h**(17/3) assuming h is positive. h**(10/3) Simplify ((w**(-1/2)/(w*w/(w*w**(-2/49)/w*w)*w))**23)**41 assuming w is positive. w**(-234807/98) Simplify ((b/(b/(b/(b*b*b*b**(10/9))*b)))/b*b*b/(b/(b*b**(6/13))*b))/(b/(b**14/b))**(6/5) assuming b is positive. b**(7459/585) Simplify f**(-13)/(f/f**5*f)*(((f**4/f)/f)/f)**(-2/187) assuming f is positive. f**(-1872/187) Simplify (c*c/c**(-2))**10*((c/(c*c**(2/17)*c))/c)/(c*c**2*c) assuming c is positive. c**(576/17) Simplify ((i**(10/7))**(7/4))**(-2/11) assuming i is positive. i**(-5/11) Simplify ((s**12/s**8)**(-10/11))**48 assuming s is positive. s**(-1920/11) Simplify ((h**(-1/4))**(-35)*(h*h**(2/7))**(23/2))**(-45) assuming h is positive. h**(-29655/28) Simplify (y**(2/13))**(-5/16)/(y**(-3/4))**20 assuming y is positive. y**(1555/104) Simplify (z**(-2/55)/(z/z**(2/17)))/(z/(z/(z*z**(-5/4)))*z)**(-11) assuming z is positive. z**(27419/3740) Simplify ((s**(-11)*s/s**(-6))/((s*s**(-2/9))/(s**(-12)/s)))**(-14) assuming s is positive. s**(2240/9) Simplify ((u*u**(-11))/u**(5/2)*(u**4*u)**(-2/15))**(-36) assuming u is positive. u**474 Simplify n*n**(4/25)*n*n/(n*n*n**(7/2))*n**(-20)*n*n**(-2/43)/n assuming n is positive. n**(-48131/2150) Simplify (c**0)**(-43)*(c**(-28))**40 assuming c is positive. c**(-1120) Simplify w*w/((w/w**(-7/3))/w)*w**4*(w/(w*w**(-2/3)*w)*w*w)**(2/13) assuming w is positive. w**(51/13) Simplify (m**(-1)/(m/(m*(m/(m*m*m**8))/m)))/(m**3)**(-2/3) assuming m is positive. m**(-9) Simplify (((c/(c**(2/9)*c*c*c)*c)**(-1/16))**(-1/6))**(1/70) assuming c is positive. c**(-11/60480) Simplify (j**1)**(-5/8)*((j*j/j**2)/j*j)/j*j**(-4)*j*j assuming j is positive. j**(-29/8) Simplify b**(-35)*b*b*b**30*(b*b**(2/3))**(23/2) assuming b is positive. b**(97/6) Simplify (l**9/l)**(-8/5)*((l**(-1)*l*l)/l*l)**(-16) assuming l is positive. l**(-144/5) Simplify (q**37/q**(4/15))/(q/(q**(-20)/q))**36 assuming q is positive. q**(-11329/15) Simplify (b**1)**22/((b**(-1/39)*b)/(b**(20/3)*b)) assuming b is positive. b**(373/13) Simplify (((m*m*m**(-1/17))/m)/m*m)**(-28/9)/((m**5*m)/m*m*m)**(1/3) assuming m is positive. m**(-805/153) Simplify (z*z/z**15*z*z*z**(2/25))**(-48) assuming z is positive. z**(13104/25) Simplify f**(-11)/(f/f**(2/3)*f)*f**(4/9)*f**(1/4) assuming f is positive. f**(-419/36) Simplify ((h*(h*(h/h**(-4))/h)/h*h*h)**(-4/23))**(15/7) assuming h is positive. h**(-60/23) Simplify (r/r**(-14))/r**(-2/25)*r**13/r*r*r**(-4/3) assuming r is positive. r**(2006/75) Simplify (((f/((f/f**19)/f))/f)/(f/f**(-2/19)*f))/((f/(f/(f**(-1/4)*f)))/(f**(-2/25)*f)) assuming f is positive. f**(32423/1900) Simplify ((k*k**(1/8)*k*k)/k**(-2)*k**3*k/(k/(k/(k*k**3*k*k))))**(-1/66) assuming k is positive. k**(-25/528) Simplify ((o**(-4/17)/o)/o**(4/3))**(4/11) assuming o is positive. o**(-524/561) Simplify (y*y**(-1/9)*y**(-3/11)/y)/(y**8*y)**(-44) assuming y is positive. y**(39166/99) Simplify x**(7/4)/x*(x/x**(-1/28))/x*x*x**2*x**(-5) assuming x is positive. x**(-17/14) Simplify (i/((i*(i*i/(((i**(-6)/i)/i)/i)*i)/i)/i*i)*i**(3/2)*i)/(i**13/i*i*i**(-11)) assuming i is positive. i**(-21/2) Simplify (l**(2/37)/(l**13*l))/(l**(3/7)*(l**(-5/3)/l)/l) assuming l is positive. l**(-8320/777) Simplify ((s/(s**(2/25)*s)*s**(-10))/(s**0)**(-3/7))**(-2/49) assuming s is positive. s**(72/175) Simplify (((y**(2/11)*y)/y*y*(y/((y/y**(2/5))/y))/y*y)/(((y*y**(6/5)*y)/y)/(y/(y/(y/(y/y**(-2)))))))**(2/15) assuming y is positive. y**(-178/825) Simplify (f**(-16)/((f*f/f**20)/f))**(7/3) assuming f is positive. f**7 Simplify o**(2/7)/(o**(-5)*o)*o**(-10)*(o/(o/(o**(-1/9)*o)*o*o))/o assuming o is positive. o**(-493/63) Simplify z**(1/10)/((z/(z*z/z**(2/23)*z))/z)*(z*z**(13/4))/(z/z**(-3/22)) assuming z is positive. z**(31001/5060) Simplify ((y/((y/(y*y*y**(1/5)))/y))/(y/(y/(y/y**(-5/6)))*y*y*y*y))/(y**(-2/27)/(y**(-2/5)/y)) assuming y is positive. y**(-1069/270) Simplify (o**(1/5)/o**(1/13)*(o/((((o/o**(-2/9))/o)/o)/o))**(8/3))**(-1/11) assuming o is positive. o**(-13216/19305) Simplify ((y/(y*y**(-9)))/(y*y/y**7*y)*y/y**(6/11)*y*y/(y*y**9))**48 assuming y is positive. y**(2880/11) Simplify ((u/((u**(3/8)*u)/u))/u*u*u**4*(u*u*(u*u**(-2/7))/u)**41)**(-4/21) assuming u is positive. u**(-4195/294) Simplify (s**3)**(19/3)*(s*s**(21/2))/(s*s**7*s) assuming s is positive. s**(43/2) Simplify ((q/(q/(q**(28/3)*q))*q)/q**(-32))/(q/q**(10/7))**(2/53) assuming q is positive. q**(48248/1113) Simplify ((i/(i/(i/(i/i**8))))/i*i*i**37)**(-18) assuming i is positive. i**(-810) Simplify (o**(-2)/o**(2/59))/(o**(-5/7)/o**(-3)) assuming o is positive. o**(-1784/413) Simplify c**7*c/(c**3*c)*(c*c**(-1/5))**(-37) assuming c is positive. c**(-128/5) Simplify (w**(-4/5)/(w**(-6/13)*w*w))/(w**7*w**(2/9)) assuming w is positive. w**(-5593/585) Simplify (((y*y/y**(-5))**(-37))**(-5))**(2/75) assuming y is positive. y**(518/15) Simplify q**2/(q/(q**(-1/2)/q*q))*(q/q**(-23))/(q/q**(-6/19)) assuming q is positive. q**(881/38) Simplify (s**(-2/7))**(-1/9)/(((s/(s**(2/7)*s))/s)/s)**(-39/2) assuming s is positive. s**(-2806/63) Simplify (t*t**(-1/4))**(-12)/(t**(-5)*t*t)**(15/8) assuming t is positive. t**(-27/8) Simplify (k/((k/(k**12/k)*k)/k*k*k)*k/k**(2/7))/((k/(k*k**(3/4)))/(k*(k/k**(-2/5))/k)) assuming k is positive. k**(1661/140) Simplify t**(-32)*t*t/(t/t**(2/15))*(t*t*t*t**(-25))/(t/(((t*t**(1/2)*t)/t)/t)) assuming t is positive. t**(-1601/30) Simplify (w**(5/2)/(w/w**(3/2)))/(w**(-6/5)/((w*w**(-21))/w)) assuming w is positive. w**(-84/5) Simplify (o*o*(o**(2/11)*o*o)/o*o)**(-6)*o**(-2/19)*o**(-13) assuming o is positive. o**(-7983/209) Simplify k**(-2/15)*k*k*k/((k/(((k**7*k*k)/k)/k))/k)*k**4/k*k**(-2/23)/k assuming k is positive. k**(4064/345) Simplify (y/y**(-10/7))/(y/y**(-4/19))*y**(-19)/y**(2/35) assuming y is positive. y**(-11863/665) Simplify (l**2*l*l/l**(-27))/((l/l**(-11))/(l*l*l**24)) assuming l is positive. l**45 Simplify (b**(-2/15))**36*b**(1/18)*b*b**(1/8) assuming b is positive. b**(-1303/360) Simplify p/p**(-36)*p/(p**26*p)*p/p**(-2/3)*p/(((p**29*p)/p)/p*p) assuming p is positive. p**(-46/3) Simplify (q/((q*q*q*q/((q/(q*q**(1/4)))/q*q)*q*q)/q)*q*q**(-1))/(q**0)**8 assuming q is positive. q**(-17/4) Simplify (f/f**(8/3))**27/((f/(f*f**13/f*f))/(f**(-3/5)/f)) assuming f is positive. f**(-168/5) Simplify (i*i/i**(-5)*i*(i/(i/(i*i/i**(-5))))/i*(i*i/((i**(1/2)*i)/i))**(-2/115))**(1/2) assuming i is positive. i**(1607/230) Simplify o**13/((o*o**3)/o)*o**(-2/17)/(o/(o**(2/45)/o)*o*o) assuming o is positive. o**(4534/765) Simplify (d/(d**(-1/4)*d))**42/(d*(d/((d*d**(-2))/d))/d)**(1/71) assuming d is positive. d**(1485/142) Simplify (j**0/j)**(-39)*j**(-4)/(j*j/(j**12*j*j)) assuming j is positive. j**47 Simplify c**(1/5)*c**(-1/4)/c*(c**(-5/2))**(-1) assuming c is positive. c**(29/20) Simplify ((s*s*s**(16/7)*s)**(-24/7))**7 assuming s is positive. s**(-888/7) Simplify ((r**(-7)/(r*r/(r*r**0*r)))**(-45))**(-25) assuming r is positive. r**(-7875) Simplify g/(g/((g/(g*g*g*g**10))/g))*g*g/(g/(g**(2/5)/g))*(g*g/(g**(-2/13)*g)*g)**(-36) assuming g is positive. g**(-5859/65) Simplify (w**(-6)/w**(-2/11))/(w/(w/((w**(-1/2)*w)/w*w))*w**(3/11)) assuming w is positive. w**(-145/22) Simplify (x*x**(6/5))**(1/8)/(((x*x*x**(-5/6)*x*x)/x)/(x*x**(3/7)*x*x)) assuming x is positive. x**(1291/840) Simplify (n/((n/(n*n/n**(2/9)))/n)*n**(-1/13)*n**5/n*n*n/n**1)**(5/4) assuming n is positive. n**(4505/468) Simplify (f**(-3/11)*f**(-4))**(-3/11) assuming f is positive. f**(141/121) Simplify (t**(-5))**(-37)*((t/((t/(t**(-14)*t*t*t))/t))/t)/((t/(t*t**(-10)))/t) assuming t is positive. t**165 Simplify ((v/v**0)/v)**32/(v/v**8*v/((v**3*v)/v)) assuming v is positive. v**9 Simplify (z*(z*((z/(z**5*z))/z)/z)/z*z**(2/3))/((z/z**(-2/11))/z*z*z**9) assuming z is positive. z**(-512/33) Simplify ((y/(y*y/(y*y/((y**(11/3)*y)/y))))/y*y*(y*y**(-9/10))/y)**(-38) assuming y is positive. y**(2033/15) Simplify (a/(a*a**(-7/3)))**(-14)/(a*a**(-3/
{ "pile_set_name": "DM Mathematics" }
- g + 0. Is w(0) composite? False Let h(w) = -117*w - 28. Let l be h(-6). Let p = l - 421. Is p prime? False Suppose 0 = -6*j + 1826 + 520. Suppose j = 3*f - 2*z, 434 = 4*f + 4*z - 54. Is f composite? False Let v(y) = 53*y**2 + 158*y + 70. Is v(-19) a composite number? True Suppose -7*u + 202103 = 12*u. Is u a prime number? False Let b(w) be the second derivative of -43/3*w**3 + 0 - w + 1/2*w**2. Is b(-5) composite? False Let g(p) = 44*p - 144. Let m(j) = 22*j - 72. Let u(w) = 6*g(w) - 11*m(w). Is u(29) prime? False Let g = -37 + 39. Suppose -g*c + 1189 = -2365. Is c prime? True Let y(c) = 1871*c**2 + 20*c + 49. Is y(-2) a composite number? True Suppose 0 = 56*z - 59*z + 13071. Is z prime? True Let t(r) = -r**2 + 5*r + 2. Let s be t(3). Let o be 500 + -2 + -3 + s. Let p = o + -240. Is p a prime number? True Let k be -1 - (2 - -10)/(-4). Suppose 0 = k*w - w - 8. Suppose -w*f - 14 = -10*f. Is f a composite number? False Let f(b) be the first derivative of 52*b**3/3 + b**2/2 - 9. Suppose -3*u - 5*v = 13, 4*v - 3*v + 5 = -3*u. Is f(u) prime? False Let q(w) = -5*w**3 - w**2 + w - 2. Is q(-3) a composite number? True Let u = 11 - 37. Let r = 139 + u. Let n = r + -36. Is n a prime number? False Let x(q) = -879*q - 58. Is x(-3) prime? True Suppose 16 = 4*k + 2*r + 3*r, r - 3 = -k. Is (k/(12/(-10221)))/((-1)/(-4)) a composite number? False Suppose -4*y + 4*w + 7 = -5, 17 = 5*y - 4*w. Suppose -106 = -y*s + 179. Suppose 2*d - s = -d. Is d composite? False Suppose 13685 = 6*t + 3167. Is t composite? False Suppose -3 = -3*j + 3. Let b(x) = -x + 6. Let d be b(j). Suppose -723 = -d*v + 457. Is v a composite number? True Let m be (-1)/(-1)*44/4. Let v = m + -7. Let d(s) = 24*s**2 - s + 1. Is d(v) a composite number? True Let b = 6 + 0. Let k(c) = b - 6*c**2 + 25 + 7*c**2. Is k(0) composite? False Let w(x) = 2*x**2 - x - 10. Let b be w(0). Let v = b + -8. Is ((-1146)/v)/((-2)/(-12)) composite? True Let o(z) = 93*z**2 - 13*z + 93. Is o(7) a prime number? False Let a be ((-176)/2)/(7/(-119)). Suppose 3*r - 2*d = a, -4*r + 0*d - d + 2013 = 0. Suppose -12*c + r = -10*c. Is c a prime number? True Let p = 529 - 377. Let k be 2/4 - 238/(-4). Suppose -4*w + p = -k. Is w prime? True Let x = -78 + 211. Suppose -4*m = -3*m - x. Suppose 4*o = -3*q - o + 206, 2*q - o = m. Is q a prime number? True Let w(j) = -3*j**3 + j**2 + j - 4. Let g(a) = -a**2 - 3*a + 7. Suppose s = -5*i - 20, -4*i + 6 = -2*s + 36. Let o be g(i). Is w(o) a composite number? False Let j = -39 + 62. Suppose d + j = 186. Let s = d - 68. Is s prime? False Suppose -2*x + 0*x + 86 = 0. Let d = x + -138. Let b = -52 - d. Is b a composite number? False Let o(g) = -85*g - 48. Let f(c) = 2*c - 9. Let s be f(-3). Is o(s) a composite number? True Let u(y) = 659*y**2 + 4*y - 107. Is u(8) a prime number? True Suppose -5*m + 17998 + 22725 = -2*j, -32584 = -4*m + 3*j. Is m composite? True Suppose -104158 = -10*k + 20832. Is k prime? False Suppose 28*g - 13*g = 627645. Is g a composite number? False Let a = -1 - -1. Suppose -13 = -11*i - 35. Is -5 + 2432 - (i + a) a prime number? False Let g = -1 - -2. Let a(h) = -59*h**2 + 145*h**2 + 1 + 2*h - 2*h - 2*h. Is a(g) composite? True Suppose -2*y + 4 = -3*y, -5*x + 4*y + 26 = 0. Suppose 3*r = x + 4. Suppose -223 = -3*c + r*c. Is c composite? False Suppose 0 = -5*z - 12*z + 3*z. Suppose 0 = v - z - 3, -4*v = 2*h - 200. Is h a composite number? True Is (1 + -6954 - -6)*-1 composite? False Let y(f) = 15 - 4 - 119*f - 36*f. Is y(-4) a prime number? True Let x(y) = 81 - 2*y**2 - 61 + 8*y - 4*y**2 + 3*y**3. Is x(9) a composite number? True Suppose -p = 3*f + 24 - 1, f - 67 = 5*p. Let i = 7 + p. Let k(t) = -11*t + 14. Is k(i) prime? False Suppose -2*t = -4*s + 50, 5*s + 4*t - 47 = -4. Let r(o) = -3 - 6*o + 11*o - 2 + 9*o. Is r(s) prime? True Let g(o) = 86*o**2 - 6*o - 1. Is g(-4) prime? True Let j(v) = 2*v**2 + 8*v - 16. Let p be j(-11). Let t(m) = 12*m + 4. Let b be t(-7). Let x = p + b. Is x prime? False Suppose -15 = 2*k - 5*m + 4, -k - 2 = -m. Let v = k - -2. Suppose n - 4*a - 78 = 0, 4*a + 292 + 18 = v*n. Is n composite? True Let w = 12 + -10. Suppose 0 = -w*j - 2*j + 1228. Is j a prime number? True Suppose -17*y + 207658 + 7477 = 0. Is y a prime number? False Let g = 4363 - 2301. Is g composite? True Let v(k) = 8*k**2 - k - 2. Let y be v(-2). Let g(c) = 4 - y*c**3 - 5*c**2 + 3*c + 33*c**3 + 0*c. Is g(5) prime? True Let x(i) = -985*i + 553. Is x(-28) a composite number? True Suppose -q = -2, -20*i + 3*q - 5378 = -24*i. Is i prime? False Let r(y) = y**2 - 17*y - 7. Let n be r(16). Let u = -115 + 361. Let c = n + u. Is c a prime number? True Suppose 3*z + 0*z - 6 = 0. Suppose -1280 = -z*t - p, -649 = -3*t + 2*t + 4*p. Is t prime? True Suppose -87 - 341 = -2*o. Suppose 3*j = -j + 5*s + 859, s + o = j. Is j a composite number? False Let v(z) be the second derivative of -z**3/6 + 13*z**2/2 + z. Let l be v(8). Let b(u) = -u**3 + 7*u**2 - 5*u - 2. Is b(l) a composite number? False Suppose -11757 = 7*j - 50054. Is j composite? False Let o be ((1 - 1) + -2547)*-4. Suppose o = 9*n - 8703. Is n prime? True Let o(d) be the first derivative of 161*d**4/2 + d**3/3 + 10. Is o(1) composite? True Suppose 20 = 2*j + 4*s, 5*j + s = -0*s + 32. Suppose j*x - 9*x = -147. Is x prime? False Suppose -3*i - 3*y + 134586 = 0, -i - 3*y + 44887 = -7*y. Is i prime? True Is -3 - 4 - (-3 + 6 + -1553) a composite number? False Let c = 331 + 288. Is c a composite number? False Let h(z) be the third derivative of 29*z**5/60 - z**4/24 + 5*z**3/6 - 9*z**2. Is h(-3) composite? False Let y = -748 - 495. Is (-3 + y/(-1) + 3)*1 a composite number? True Let y be 2 - -3*(-2)/(-3). Let h(c) = 52*c - y + 4 - 1. Is h(5) prime? False Let c(k) = -k - 2*k - 6*k**2 - 5*k**3 + 6*k**3 - 12. Let z be c(9). Suppose -5*r + 191 = 5*n - z, -4*n + 8 = 0. Is r prime? False Suppose 15 - 18 = -3*m. Let n be 4 - (-1)/(-2 + m). Suppose 5*c - n*c = 286. Is c a composite number? True Suppose 3*r - 3*x = 3, -5*x = -r - 3*x + 4. Let v be ((7 - 1) + -2)*r. Let y(a) = 2*a**2 - 5*a - 5. Is y(v) a composite number? False Let o(h) = h**3 + 14*h**2 + 11*h - 13. Let c(m) = -7*m - 2. Suppose -3*q - 23 = -5*p - 1, 3*q - 18 = -3*p. Let w be c(q). Is o(w) a composite number? False Suppose 0 = 2*h - 8, 2*f - 3*f = -2*h + 94. Let b = f - -18. Let t = 145 + b. Is t composite? True Is (3/2)/((-27)/(-238122)) composite? False Suppose 0 = -15*j - 12*j + 93501. Is j prime? True Let d(a) = 12*a + 20 - 36*a - 11*a. Is d(-9) a composite number? True Let b be (-1)/(-2)*(4 - 24). Let n(f) = f**3 + 9*f**2 - 16*f - 14. Let a be n(b). Suppose -23 - a = -m. Is m a prime number? False Let z(c) = 42*c + 5 - 7*c + 0. Suppose 12*o = 14*o - l - 3, 2*o + 12 = 4*l. Is z(o) composite? True Suppose -10 = 6*m + 26. Is (-3)/(-2)*(m + (-9968)/(-24)) prime? False Is 24/18 + 3278/3 a composite number? True Let f be 1/2*0/9. Suppose f = 6*h - 12*h + 4038. Is h composite? False Let u = 3601 + 1452. Is u composite? True Is 79444/(-8)*(-7 - -3)/2 a composite number? False Suppose -4*o - 3*o + 14 = 0. Suppose 0*x + 3 = j - 4*x, 3*j + o*x - 9 = 0. Suppose p = j*p - 190. Is p a composite number? True Let s be (-84)/42 - 0/(0 - -1). Is (s + 3)/(1/186*3) prime? False Let q(v) be the second derivative of 37*v**3/3 + v**2/2 + 26*v - 3. Let d = -1 - -3. Is q(d) a prime number? True Let m(l) = -l + 290. Let f be m(0). Let t(h) = 11*h - 61. Let v be t(6). Suppose -f = 5*w - 10*w + v*d, w - 43 = -2*d. Is w prime? True Let t(l) = 49*l**2 + 3*l + 1. Let w be (2/4)/((-2)/(-20)). Let h = w - 7. Is t(h) prime? True Let v(f) = f**3 + 6*f**2 + 6*f + 20. Is v(17) a composite number? True Let c = 8134 + -4108. Is (2/(-6))/((-2)/c) a prime number? False Let l be (0 - 2)/1*-1. Let w be l/7 - 82/(-7). Suppose -3*t + w = -x, 0 = -3*t + 3*x + x + 21. Is t composite? False Let h(s) = s**3 - 19*s**2 - s + 25. Let f be h(19). Is 188/f - 12/36 a composite number? False Let x(r) = -r**2 + 3*r - 7. Let h be x(6). Let k = 9 - h. Is k composite? True Let x be (-2)/1 + 16 + -23. Is (678/x)/(10/(-15)) composite? False Let h = 41411 + -28194. Is h a composite number? False Let n(q) = 4*q. Let u be n(4). Let m be (-3 - -17)*(1 + (-34)/(-4)). Let x = u + m. Is x a prime number? True Suppose -226 = -d - d. Let m = 25
{ "pile_set_name": "DM Mathematics" }
)*2*-1? 2/3 Evaluate ((-98)/343)/(2/42). -6 Evaluate ((-10)/125*5)/(1/30). -12 What is the value of (8/6)/((-560)/120)? -2/7 12/370*((-75)/(-6))/((-2205)/(-294)) 2/37 Evaluate (-6)/(-4)*((-10)/385)/((-168)/616). 1/7 (-648)/324*((-33)/(-8))/(3/4) -11 Evaluate (-10*33/55)/((-28)/2). 3/7 (336/3136)/((-6)/(-80)) 10/7 What is the value of -2*5/35*-7*3/48? 1/8 Evaluate 136/119*(-84)/120. -4/5 What is (-15)/(-8)*(-880)/(-5500)? 3/10 Calculate (((-10)/(-30))/1)/(7/63). 3 Calculate 4/(160/(-8))*(-4)/(-12). -1/15 What is (-60)/24*(-5)/(1425/(-18))? -3/19 What is the value of 12/19*(-7106)/(-748)? 6 Evaluate (-2)/(-1)*((-7)/4)/(1971/438). -7/9 What is (-42)/(-4284)*-17*552/(16/4)? -23 (44/572)/((-2)/(-4)) 2/13 What is ((-100)/160)/(13/104)? -5 (33/33)/((-4)/28) -7 Calculate ((-117)/(-45))/(-13)*1. -1/5 What is (((-2178)/55)/(-11))/(((-6)/5)/(-3))? 9 (-2)/(-96)*5082/4235 1/40 ((2*1)/8)/((-4942)/336056) -17 ((-18)/(-16))/((-3960)/(-4224)) 6/5 Calculate 13/(6825/(-60))*110/132. -2/21 What is the value of ((-89)/267)/((-1)/(96/(-28)))? -8/7 What is the value of (38/(-114))/(((-32)/40)/(2/(-5)))? -1/6 What is 4*(128/8)/(-112)? -4/7 What is the value of 21/(-49)*(-49)/(-7)*-3? 9 -1*-4*4/16*1/(-41) -1/41 What is the value of ((2/1)/28)/(257/(-1028))? -2/7 Calculate (-20)/6*((-42)/525)/((-13)/(-390)). 8 Calculate 16/3*(-448)/(-7168). 1/3 Calculate (-1*1/4)/(26/(-1352)). 13 Calculate (-8)/18*60/(-800)*5. 1/6 ((510/(-15))/34)/((-1)/(-12)) -12 What is the value of (-240)/(-320)*128/120*1/(-3)? -4/15 Evaluate ((-520)/312*117/(-5))/(-3). -13 Calculate (448/176)/((8/22)/2). 14 What is the value of 9*4*(-13)/(-1404)*6? 2 Calculate ((-30)/(-4))/(482/(-964)). -15 What is the value of ((-69)/(-1127)*-7)/((-9)/(-6))? -2/7 Calculate ((-30)/(-45))/(8/(-132)). -11 Calculate (-2)/(-30)*-5*(-81)/63. 3/7 2/14*(-64)/(-48)*154/220 2/15 What is 3465/1155*44/(-6)? -22 What is (-8)/24*(-3090)/1133? 10/11 (-9)/7*(-9904)/(-7428) -12/7 Calculate 1*1/((-40)/(-16)*-2). -1/5 Evaluate (-372)/(-496)*16/(-78)*(-3)/3. 2/13 Calculate ((2/12)/(73/438))/(1/(-10)). -10 What is the value of 8*(-17)/136*8? -8 Evaluate ((-3)/6*2)/(471/785)*12. -20 Calculate ((-4)/(-6))/(12/(-9))*10/65. -1/13 What is (-8)/(-24)*(-3)/64*4? -1/16 What is the value of (-16)/96*9/3*-36? 18 What is the value of (-20)/(-22)*16/((-384)/(-132))? 5 What is the value of 60/(((-315)/(-21))/(-5))? -20 Evaluate (-18)/(-45)*((-540)/207)/12. -2/23 (5/20)/(108/(-7344)) -17 Calculate (-12)/22*1936/(-528). 2 Evaluate (20/12)/((-25)/(-15)). 1 What is (6/2*(-2)/(-6))/(3/(-18))? -6 Evaluate 5*(-34)/(-408)*16/(-12). -5/9 (-6*24/704)/((-15)/20) 3/11 What is the value of (6/(-21))/(37/((-148)/24))? 1/21 Calculate 222/111*5/(-2). -5 (-6)/(-36)*-48*30/16 -15 Calculate (-4)/80*9/(297/(-55)). 1/12 Evaluate (70/(-35)*2/(-2))/(9/63). 14 Calculate (-56856)/33166*(2/(-3))/1. 8/7 What is ((-3)/(-3))/((10/5)/18)? 9 Calculate (15/540*9*-2)/((-14)/(-16)). -4/7 Evaluate 3/(-58)*668/(-501). 2/29 Calculate 4/(-8)*1*23/(-46). 1/4 Evaluate ((-5)/4)/(322/1288). -5 What is the value of (6/51)/(((-180)/(-585))/((-4)/26))? -1/17 Evaluate (12*32/(-384))/((1/3)/1). -3 What is -1*(-1)/(-26)*(-19)/(304/64)? 2/13 2/(-14)*(-48)/((-312)/13) -2/7 (-1)/(3*10/60*8/(-76)) 19 Calculate (157/((-51810)/(-44)))/(2/(-3)). -1/5 What is -6*(-4)/(-12)*7/(-238)*-17? -1 What is the value of 2/(-780)*-10*13? 1/3 Calculate ((-7)/(-273))/((-51)/(-153)). 1/13 16/152*1558/(-4346) -2/53 Evaluate (-1)/((3*(-9)/(-135))/2). -10 Evaluate (-13)/(234/(-12))*(-14)/(-168). 1/18 Calculate ((-190)/57)/(4*45/72). -4/3 What is 72/288*96/80? 3/10 ((-3)/(-12)*-1)/((-5)/((-10)/(-3))) 1/6 Evaluate ((-12)/5)/(42/(-105)). 6 (2*(-3)/(-3))/((5/(-5))/8) -16 Evaluate -11*(5/(-28)*-7)/((-15)/(-24)). -22 What is (3/6)/(9*6/72)? 2/3 What is (-1)/(-1)*((-648)/(-32))/27? 3/4 Evaluate ((-35)/25)/(((-24)/(-60))/2). -7 Evaluate -1*9/(-21)*3/3*7. 3 Calculate (2*(-4)/(-16))/(90/60)*36. 12 Evaluate 972/(-37179)*(-36)/4. 4/17 Calculate (-1)/(-5)*(-2000)/550*-33. 24 Evaluate ((-1)/(1/(-2)))/(780/(-26)). -1/15 What is the value of 17/119*-7*13/(-1)? 13 What is ((-53)/((-3180)/(-48)))/((-1)/10*2)? 4 Evaluate (((-825)/(-20))/11)/(1/(-120)*25). -18 What is the value of (-34*(-168)/(-3808))/(6*(-2)/(-232))? -29 Evaluate -1*((-44)/(-14))/11*(-1)/(-1). -2/7 (1/(-2))/(((-20)/(-195))/(48/18)) -13 What is the value of (-44)/(-187)*7/77*187? 4 What is ((-8180)/45808)/((-10)/(-8))? -1/7 Evaluate 14/((-8)/14*((-9947)/174)/49). 21 Calculate 20/8*8/(-2). -10 Evaluate ((78/65)/2)/(8/((-800)/45)). -4/3 What is 2*15*712/(-1780)*10/8? -15 Calculate ((-11)/(-66))/(7/112). 8/3 Evaluate (-114*24/(-3648))/((-33)/32). -8/11 Evaluate ((-234)/(-1404))/((-23)/(-6)). 1/23 Evaluate ((-76)/(-6))/((538/2959)/((-6)/(-22))). 19 What is the value of 18/10*4/27*3? 4/5 3/(-2)*((-770)/231)/(5/28) 28 Evaluate ((-15)/((-180)/456))/(-1*(-2)/1). 19 ((-12)/6)/4*6 -3 5/(10*(-18)/972) -27 4/(((-100)/(-20))/5) 4 -2*21/7056*8 -1/21 What is (-6)/(-21)*(-882)/(-45)*15/6? 14 ((-5)/(-10))/(9/(-126)) -7 What is the value of (-111)/148*2*18? -27 ((-105)/(637875/(-81)))/(1/(2*3)) 2/25 Evaluate (10860/3258*1/(5/(-36)))/(-1). 24 What is ((-34)/(7820/138))/((-42)/4)? 2/35 Calculate (-76)/((-912)/(-24))*1/14. -1/7 (6/(-261)*-58)/((-1)/(-6)) 8 What is the value of 3140/(-1256)*((-108)/80)/(-9)? -3/8 Calculate (-17*(-30)/255)/((-2)/(-4)). 4 What is the value of (6/8)/((171/(-24))/(-19))*11? 22 What is (18*2/(-60))/(36/(-8))? 2/15 Calculate (4/(-5))/((-1234)/(-27765)). -18 Evaluate (1165/(-1398))/((-2)/(-12)). -5 What is the value of (-104)/(-1326)*(-57)/76? -1/17 Evaluate (-358)/(-2327)*52/6. 4/3 What is 0/(-118)*1*3/6? 0 Calculate (-1)/(((-1083)/19)/(-19))*(-12)/(-26). -2/13 What is ((-153)/748)/((-12)/(-32))? -6/11 Evaluate (23/14)/((-127)/(-1778)). 23 What is the value of 6*13/(-54)*7/(-91)? 1/9 ((-3)/25)/(4*2*5/(-200)) 3/5 What is the value of (950/(-4560))/(1/(-2)*8/(-12))? -5/8 (-42)/42*42/6 -7 What is -1*7/(-7)*126/70? 9/5 Calculate (7*9/567)/(66/54). 1/11 (54/126)/(9/(-3))*5/5 -1/7 What is -8*(-44)/(-4)*(-18)/(-396)? -4 Calculate (-42)/(-9)*(-87)/(-203)*(-14)/4. -7 (((-120)/35)/(-2))/((-33)/(3465/(-10))) 18 Calculate 15/((-1080)/16)*((-285)/(-50))/(-19). 1/15 Evaluate (96/(-152))/(25/(-475)). 12 4/(-14)*72954/3474 -6 What is 7/((-280)/104)*10/2? -13 Calculate 6590/18452*((-8)/10)/(-1). 2/7 What is the value of 13/(-4)*20/(-5070)*-13*-21? 7/2 What is the value of (-900)/(-270)*(-9)/5? -6 4/(80/(-10260)*-19) 27 45/3*(-19)/(-171)*-9 -15 Evaluate 4/2*430/172. 5 What is (34/136)/((-14)/(-175)*-5)? -5/8 6*250/525*7 20 What is (((-2)/(-2))/1)/(59/118)? 2 -1*((-12)/(-8))/(9/156) -26 Evaluate (((-2)/(-6))/(-1))/(5/(-990)*-22). -3 Calculate (325/52)/(20/(-8)). -5/2 What is the value of -28*(4/8)/(48/(-24))? 7 Evaluate (-156)/65*(-6930)/(-756). -22 1/(-21)*(-54)/12*(-16)/12 -2/7 Calculate 2/(-14)*((-1104)/(-23))/(-24). 2/7 What is the value of 30/(4/42*21)? 15 What is ((-51)/(-68))/((-2703)/(-136))? 2/53 What is the value of -20*(-8)/1472*((-36)/(-15))/3? 2/23 What is (4/(-3))/4*-3*354/(-885)? -2/5 Evaluate ((-2)/12*27/45)/((-5)/(-5)). -1/10 What is the value of -3*48/(-216)*39/(-2)? -13 29/(348/(-12))*2*10/4 -5 What is the value of -6*16/12*2/20? -4/5 What is the value of (514/(-514))/(2/(78/3))? -13 What is ((-4)/14)/((-65)/10*132/154)? 2/39 What is -7*((-236)/590)/((-14)/10)? -2 Calculate (4/(-168)*-14)/(5/30). 2 Evaluate (-3)/3*0/10. 0 Evaluate ((-2)/(-6))/((-24)/(-216))*(-10)/(-6). 5 Evaluate (660/40)/((-66)/88). -22 ((-244)/(-732))/(1*1/(-3)) -1 What is the value of 1*(9/((-252)/(-35)))/(6/(-24))? -5 Calculate (-4)/(-42)*(-13)/((-936)/(-63)). -1/12 What is (-40)/(-60)*12*1? 8 ((-7)/28)/((-7)/(-28)) -1 (-10*(-72)/945)/(((-48)/(-7))/(-8)) -8/9 (-36)/(-27)*45/420 1/7 ((-3)/(-2))/((15/(-7))/(24/42)) -2/5 What is (-54)/(-8)*(-334)/1503? -3/2 (35/20*(-530)/371)/((-1)/(-2)) -5 Evaluate 150/(-4)*76/7790*82. -30 What is the value of (((-64)/(-12))/8)/((-22)/(-6))? 2/11 What is the value of (((-99)/110)/((-22)/(-8)))/(558/(-1860))? 12/11 Calculate ((768/(-40))/12)/(-1*(-3)/(-15)). 8 Evaluate ((-4)/10)/((1694/77)/(-1540)). 28 ((-70)/105)/(2/(-6))*9/2 9 What is (4224/2992)/(6/51)? 12 Calculate (49/(-490))/(3/(3*8)). -4/5 What is the value of (((-78)/(-5278))/((-15)/20))/((-4)/14)? 2/2
{ "pile_set_name": "DM Mathematics" }
804908050? -160981610*b What is the n'th term of 6170833, 6170825, 6170817? -8*n + 6170841 What is the b'th term of -179034, -180551, -182066, -183579, -185090, -186599, -188106? b**2 - 1520*b - 177515 What is the c'th term of -227849, -455672, -683499, -911330? -2*c**2 - 227817*c - 30 What is the s'th term of -8176, -16905, -25652, -34423, -43224, -52061, -60940? -s**3 - 3*s**2 - 8713*s + 541 What is the s'th term of -42034648, -84069294, -126103940, -168138586, -210173232, -252207878? -42034646*s - 2 What is the y'th term of 20582037, 20582034, 20582031, 20582028, 20582025? -3*y + 20582040 What is the y'th term of -9274, -19044, -28814, -38584? -9770*y + 496 What is the q'th term of -8785263, -8785259, -8785247, -8785221, -8785175, -8785103, -8784999, -8784857? q**3 - 2*q**2 + 3*q - 8785265 What is the j'th term of 55333, 55441, 55547, 55651, 55753? -j**2 + 111*j + 55223 What is the n'th term of 24835504, 24835500, 24835494, 24835486, 24835476, 24835464? -n**2 - n + 24835506 What is the k'th term of 203988, 204626, 205264, 205902, 206540, 207178? 638*k + 203350 What is the v'th term of -78249, -158827, -239405, -319983? -80578*v + 2329 What is the c'th term of -13513, -13332, -13163, -13012, -12885, -12788, -12727? -c**3 + 188*c - 13700 What is the p'th term of 1120976, 2241907, 3362788, 4483619? -25*p**2 + 1121006*p - 5 What is the h'th term of -2890, -3288, -3946, -4870, -6066, -7540, -9298, -11346? -h**3 - 124*h**2 - 19*h - 2746 What is the g'th term of -9557154, -9557192, -9557230, -9557268? -38*g - 9557116 What is the d'th term of -1638, -2472, -3880, -5862, -8418? -287*d**2 + 27*d - 1378 What is the s'th term of 94205, 94183, 94163, 94145, 94129, 94115, 94103? s**2 - 25*s + 94229 What is the j'th term of 135580, 269666, 403752, 537838, 671924, 806010? 134086*j + 1494 What is the x'th term of 99, 490, 1621, 3864, 7591, 13174, 20985, 31396? 62*x**3 - 2*x**2 - 37*x + 76 What is the t'th term of 7250752, 14501499, 21752246, 29002993? 7250747*t + 5 What is the d'th term of 548, -875, -6248, -17545, -36740, -65807? -329*d**3 - d**2 + 883*d - 5 What is the m'th term of 4042, 4496, 5732, 8146, 12134, 18092, 26416, 37502? 66*m**3 - 5*m**2 + 7*m + 3974 What is the r'th term of -21411, -30767, -46361, -68193, -96263, -130571, -171117? -3119*r**2 + r - 18293 What is the s'th term of -4427, -8882, -13419, -18038, -22739? -41*s**2 - 4332*s - 54 What is the q'th term of -68159, -76062, -83975, -91904, -99855, -107834, -115847? -q**3 + q**2 - 7899*q - 60260 What is the s'th term of 2579, 6480, 10381, 14282, 18183? 3901*s - 1322 What is the i'th term of 3343, 3749, 4145, 4531? -5*i**2 + 421*i + 2927 What is the s'th term of -7680, -6157, -1962, 6261, 19868? 226*s**3 - 20*s**2 + s - 7887 What is the d'th term of -1295, -1903, -1889, -1253, 5, 1885, 4387? 311*d**2 - 1541*d - 65 What is the f'th term of 3093, 2482, 1873, 1266, 661, 58, -543? f**2 - 614*f + 3706 What is the y'th term of -104732430, -104732428, -104732426, -104732424, -104732422, -104732420? 2*y - 104732432 What is the l'th term of -375408, -750856, -1126344, -1501872, -1877440, -2253048? -20*l**2 - 375388*l What is the x'th term of 556658, 1113288, 1669892, 2226470, 2783022, 3339548, 3896048? -13*x**2 + 556669*x + 2 What is the h'th term of -34661235, -34661234, -34661233? h - 34661236 What is the x'th term of 20230, 40461, 60742, 81097, 101550? 4*x**3 + x**2 + 20200*x + 25 What is the r'th term of -1818258, -3636500, -5454722, -7272924, -9091106, -10909268, -12727410? 10*r**2 - 1818272*r + 4 What is the k'th term of -9677, -17027, -24377, -31727, -39077? -7350*k - 2327 What is the n'th term of -6727420, -6727424, -6727428? -4*n - 6727416 What is the h'th term of -210642708, -210642705, -210642702, -210642699, -210642696? 3*h - 210642711 What is the r'th term of 1603181, 3206367, 4809557, 6412751? 2*r**2 + 1603180*r - 1 What is the z'th term of -3366, -5150, -6920, -8670, -10394? z**3 + z**2 - 1794*z - 1574 What is the y'th term of -43321092, -86642177, -129963262? -43321085*y - 7 What is the p'th term of -127766, -127778, -127790, -127802? -12*p - 127754 What is the i'th term of 2233, 3551, 4873, 6193, 7505? -i**3 + 8*i**2 + 1301*i + 925 What is the u'th term of -4808390, -19233549, -43275478, -76934177, -120209646? -4808385*u**2 - 4*u - 1 What is the i'th term of 330, 845, 1704, 2907, 4454, 6345, 8580? 172*i**2 - i + 159 What is the x'th term of -4339, -4402, -4469, -4540, -4615, -4694, -4777? -2*x**2 - 57*x - 4280 What is the q'th term of 12164373, 12164369, 12164365, 12164361, 12164357? -4*q + 12164377 What is the k'th term of -23438, -187637, -633318, -1501223, -2932094, -5066673? -23457*k**3 + k**2 - 3*k + 21 What is the x'th term of 2580748, 2580754, 2580760, 2580766, 2580772? 6*x + 2580742 What is the n'th term of 2684, 10882, 24536, 43646? 2728*n**2 + 14*n - 58 What is the v'th term of -356, -3045, -10402, -24767, -48480, -83881, -133310, -199107? -390*v**3 + 6*v**2 + 23*v + 5 What is the b'th term of 94383, 188823, 283263? 94440*b - 57 What is the z'th term of -1000406, -2000727, -3001050, -4001375, -5001702, -6002031, -7002362? -z**2 - 1000318*z - 87 What is the f'th term of 145081, 145422, 145763, 146104? 341*f + 144740 What is the c'th term of -669, -1211, -1429, -1323, -893? 162*c**2 - 1028*c + 197 What is the b'th term of -263, -2016, -6695, -15740, -30591, -52688, -83471, -124380? -240*b**3 - 23*b**2 - 4*b + 4 What is the i'th term of 9095, 9160, 9299, 9536, 9895, 10400, 11075, 11944? 4*i**3 + 13*i**2 - 2*i + 9080 What is the f'th term of -115314, -115257, -115200, -115143, -115086, -115029? 57*f - 115371 What is the p'th term of -60570, -58741, -56912, -55083, -53254? 1829*p - 62399 What is the k'th term of -10056, -9729, -9378, -8997, -8580? k**3 + 6*k**2 + 302*k - 10365 What is the n'th term of -73332, -146668, -220004, -293340, -366676? -73336*n + 4 What is the t'th term of -22210, -22347, -22582, -22915? -49*t**2 + 10*t - 22171 What is the w'th term of 76295, 73101, 67763, 60269, 50607, 38765, 24731? -2*w**3 - 1060*w**2 + 77357 What is the t'th term of 2587792, 2587102, 2586410, 2585716, 2585020? -t**2 - 687*t + 2588480 What is the c'th term of 32627340, 32627341, 32627342, 32627343, 32627344, 32627345? c + 32627339 What is the b'th term of 70801217, 70801210, 70801191, 70801154, 70801093, 70801002, 70800875? -b**3 + 70801218 What is the n'th term of 830, 4567, 11210, 20753, 33190, 48515, 66722? -n**3 + 1459*n**2 - 633*n + 5 What is the u'th term of 215780, 431536, 647310, 863108, 1078936, 1294800? u**3 + 3*u**2 + 215740*u + 36 What is the i'th term of -33485, -133893, -301245, -535547, -836805? -i**3 - 33466*i**2 - 3*i - 15 What is the t'th term of 79324, 81385, 84822, 89635, 95824? 688*t**2 - 3*t + 78639 What is the j'th term of -1566189, -1566190, -1566191, -1566192, -1566193? -j - 1566188 What is the n'th term of 131138441, 131138442, 131138443, 131138444, 131138445? n + 131138440 What is the a'th term of 71547, 71536, 71529, 71526, 71527? 2*a**2 - 17*a + 71562 What is the j'th term of 2894080, 2894085, 2894090, 2894095, 2894100? 5*j + 2894075 What is the p'th term of 73, 431, 1107, 2173, 3701, 5763, 8431, 11777? 12*p**3 + 87*p**2 + 13*p - 39 What is the q'th term of 152, 776, 1806, 3242, 5084, 7332, 9986? 203*q**2 + 15*q - 66 What is the h'th term of -1839, -3609, -5413, -7269, -9195? -3*h**3 + h**2 - 1752*h - 85 What is the c'th term of -74098689, -74098687, -74098683, -74098677, -74098669? c**2 - c - 74098689 What is the u'th term of -13481848, -13481870, -13481892? -22*u - 13481826 What is the k'th term of 469, 1230, 2507, 4300, 6609, 9434, 12775? 258*k**2 - 13*k + 224 What is the o'th term of -667, -1312, -1919, -2506, -3091, -3692, -4327? -3*o**3 + 37*o**2 - 735*o + 34 What is the k'th term of 13302, 106572, 359696, 852600, 1665210, 2877452? 13321*k**3 + k**2 + 20*k - 40 What is the u'th term of 328532, 657069, 985612, 1314161, 1642716? 3*u**2 + 328528*u + 1 What is the v'th term of 623, 387, -197, -1285, -3033, -5597? -26*v**3 - 18*v**2 + 667 What is the g'th term of -1656, -3851, -6042, -8229, -10412, -12591? 2*g**2 - 2201*g + 543 What is the v'th term of 2155117, 2155054, 2154941, 2154772, 2154541, 2154242, 2153869, 2153416? -v**3 - 19*v**2 + v + 2155
{ "pile_set_name": "DM Mathematics" }
= 2*d, -d - 3 - 1 = 3*s. Suppose 0 = 5*h - 5*p - 215, 0 = -2*h - d*p - 0*p + 72. What is the remainder when h is divided by 11? 8 Let u(v) be the first derivative of 2*v**3/3 + 4*v**2 + 6. What is the remainder when u(-6) is divided by 9? 6 Let o be 12/(-8) - (-14)/4. Suppose -2*t = o*t - 56. Calculate the remainder when t is divided by 8. 6 Let b = 135 + -68. Let v = b - 6. Calculate the remainder when v is divided by 21. 19 Let w = 20 + -14. Let g be -1*(-3)/1 - 0. Suppose g*l - 2*r - 47 = 0, -4*r - 6 = -7*r. Calculate the remainder when l is divided by w. 5 Let o = 224 - 190. Suppose 36 = 2*w + 5*x, 0*w - 72 = -4*w + 2*x. What is the remainder when o is divided by w? 16 Let w be (-5 + -16)*(-8)/(-6). What is the remainder when 25 is divided by (w/8 - -3)*-14? 4 Suppose p - 4*p = 0. What is the remainder when 11 is divided by (9 + p)/(6/4)? 5 Let a = -11 - -10. Let p be -1 + 0 + -12 + a. Let x = -1 - p. What is the remainder when x is divided by 4? 1 Suppose -2*g + 11 = -23. What is the remainder when g is divided by 3? 2 Let f be 1 + -2 - 24/(-4). Let k = f - 2. Calculate the remainder when 5 is divided by k. 2 Let m(z) = -z**3 - z**2 + 13. Suppose -l - l = -12. Suppose l*q - 100 = 2*q. What is the remainder when q is divided by m(0)? 12 Let g(j) = j**2 + 18. Suppose 0 = -b - 3*s + 19, b + 4*s - 6 - 17 = 0. What is the remainder when g(0) is divided by b? 4 Let q(y) = -5*y + 5*y + 5 + 2*y. Let i = -13 - -21. What is the remainder when 41 is divided by q(i)? 20 Suppose 0 = 4*q + 2*s - 28, s + 0 = q - 13. What is the remainder when 35 is divided by q? 8 Suppose 2*h - h = 2. Let o(i) = -2*i - 1 + 0*i - h. What is the remainder when 36 is divided by o(-8)? 10 Suppose -3*q + 5*h - 19 = q, -4*q + h - 23 = 0. Let a = 11 - 7. What is the remainder when (3/q)/(-1)*20 is divided by a? 2 Suppose 3*q + 52 = 5*b, 5 = -b + 2*b. Calculate the remainder when 32 is divided by (3/q)/(5/(-165)). 10 Let k(n) = -14*n. Let q be k(1). Let o = -37 - -88. Let i = q + o. Calculate the remainder when i is divided by 13. 11 Let g(q) = q + 11. Let v be g(-8). Let p = 4 - v. Suppose 2*l - 8 = 2*a, a - 2*l + 7 = -2. What is the remainder when p is divided by a? 0 Let c = 269 + -126. Calculate the remainder when c is divided by 18. 17 Let s(g) = -g**3 + g**2 + 9. Let d = -23 + 41. Let n = d + 15. What is the remainder when n is divided by s(0)? 6 Suppose 0 = -3*z - z + 64. Let s = 17 + 29. What is the remainder when (s/(-3))/(1/(-3)) is divided by z? 14 Let u(i) = i**2 - 2*i - 4. Let v be u(3). Let q = 115 - 69. What is the remainder when q is divided by (v/(-2))/(1/48)? 22 Suppose -6*i = -4*i - 20. What is the remainder when 346/18 - (-22)/(-99) is divided by i? 9 Let y(d) = -d + 55. What is the remainder when 197 is divided by y(15)? 37 Suppose 2*n + 20 = 6*n. Let g = -6 - -25. What is the remainder when g is divided by n? 4 Suppose -3*g + 56 = -4*s, -6*g = -11*g + 3*s + 86. Let d be (5 - 7) + (1 - -119). Let v = d - 71. What is the remainder when v is divided by g? 15 Let f be -14*((-3)/(-6))/(-1). Suppose -7 = -4*n + 5*z, -3*n - 17 = -f*n - 5*z. Suppose n*q = 12 + 3. Calculate the remainder when 9 is divided by q. 4 Suppose -f = -3*x + 107, 5*x + 2*f - 169 = 6*f. Calculate the remainder when 108 is divided by x. 34 Let r(w) = w**2 + 18. What is the remainder when 51 is divided by r(0)? 15 Let c = -156 - -164. What is the remainder when 23 is divided by c? 7 Suppose 3*g - g = 20. What is the remainder when 58 is divided by g? 8 Suppose 5*w = -0*w + 375. Let i = -44 + w. Let c = i - 21. Calculate the remainder when c is divided by 4. 2 Suppose -19 = 2*a + 1. What is the remainder when ((-24)/(-10))/(3/45) is divided by 15/a*38/(-3)? 17 What is the remainder when 24 is divided by (-2)/(-5) - 69/(-15)? 4 Let c(s) = -s**2 - 12*s - 11. What is the remainder when 51 is divided by c(-10)? 6 Let h be -6*((-1)/1 + 0). Let q be (h/(-12))/(2/(-12)). Let t(f) = 3*f + 1. What is the remainder when 28 is divided by t(q)? 8 Calculate the remainder when 65 is divided by 1*60/3 - (5 + -2). 14 Let n = 8 + -8. Suppose n*t = 4*t - 148. What is the remainder when t is divided by 19? 18 Let z = -5 - -26. Suppose 4*m - m - z = 0. What is the remainder when m is divided by 10*(84/(-35))/(-6)? 3 Suppose -2*r + 21 + 1 = 2*a, 2*a + 26 = 2*r. What is the remainder when 33 is divided by r? 9 Let w be (-54)/(-8) - 6/8. Suppose 10 = 5*z - 5, -2*z = 4*u - 174. What is the remainder when (7 - 0)/(w/u) is divided by 17? 15 Suppose -4*c = -4*v - v - 12, 2*v + 6 = 2*c. Suppose -c*w + 12 = -21. Suppose -4*r + w + 37 = 0. What is the remainder when 34 is divided by r? 10 Let a(y) = 14*y + 4. Let g(h) = -7*h - 2. Let k(i) = -2*a(i) - 5*g(i). What is the remainder when k(3) is divided by 13? 10 Let f = 2 - 0. Suppose 6 = 4*b - 14. Calculate the remainder when b is divided by f. 1 Suppose -p = 2*p. Let q = 2 + p. Calculate the remainder when -2*-13*1/q is divided by 7. 6 Let x(b) = -5*b - 11. Let h = -14 + 29. What is the remainder when x(-8) is divided by h? 14 What is the remainder when 24 is divided by (-2)/8 + (-212)/(-16)? 11 Suppose -2*g + 2 + 11 = c, -2*g + 23 = 3*c. Let v = -9 - -18. What is the remainder when v is divided by c? 4 Let g = 9 - -5. Let m = 106 + -67. Calculate the remainder when m is divided by g. 11 Let k = 92 + -79. What is the remainder when -2 - (-39 + 1 + -2) is divided by k? 12 Suppose -o + 3 = -3*r, 3*o + 3*r - 9 = 2*r. Let j = o + 1. Calculate the remainder when j is divided by 3. 1 Suppose -o = o - 30. Let g(h) = -h**3 - 5*h**2 + 7*h - 4. Let r be g(-6). Let x = 19 + r. What is the remainder when o is divided by x? 6 Suppose a - 31 = -2. Let o = 12 + a. Calculate the remainder when o is divided by 14. 13 Let d(m) = 3*m**2 + 35*m + 23. Let q(w) = 6*w - 3. Let u(r) = 25*r - 12. Let s(y) = 26*q(y) - 6*u(y). What is the remainder when d(-12) is divided by s(4)? 17 Let z = -15 - -25. Calculate the remainder when z is divided by 6. 4 Suppose -3 + 12 = 3*d. Suppose -d*g = 2*r - 41, -3*r + 15 = 5*g - 54. What is the remainder when 44 is divided by g? 14 Suppose -5*x + 11 = -2*g, 4*x + 2*g = -g + 18. Suppose -7*q = -x*q - 28. Suppose -q*r + 18 = -5*r. Calculate the remainder when 26 is divided by r. 8 Let l = 11 + -7. Let x be (-15)/6*20/(-25). Let f = l - x. Calculate the remainder when f is divided by 1. 0 Suppose 0*h + 2*j = -h + 4, -3*j + 6 = 4*h. Suppose 48 = q + 5*u, q - 4*u = -h*u + 30. What is the remainder when q is divided by ((-15)/(-2) + -1)*2? 12 Let y(j) = -j**2 - 5*j + 7. Let r be y(-6). Let o = r - -2. Suppose 5*k = 3*k - 10, 3*x - 42 = o*k. What is the remainder when 17 is divided by x? 8 Let v = 41 + -21. Let i = -19 - -5. What is the remainder when v is divided by (-4)/i - (-235)/35? 6 Let n be (8/(-10))/(2/(-5)). Suppose 0 = -4*f + n*f + 58. Calculate the remainder when f is divided by 15. 14 Let w(f) = -f + 2. Let r(c) = -2*c - 3. What is the remainder when r(-7) is divided by w(-5)? 4 Let h(q) = 7*q + 64. What is the remainder when h(-6) is divided by 5? 2 Let l(t) = -t**2 + 5*t + 6. Let x be l(6). Let i be 0 + (0 - x) + -32. Calculate the remainder when 2/(-3) + i/(-3) is divided by 4. 2 Suppose -x - 5*b = -22, -x - 3*b - 14 = -7*b. Calculate the remainder when 51 is divided by (9/(-2))/(x/(-8)). 15 Calculate the remainder when 48 is divided by (-784)/(-77) - 2/11. 8 Let z(k) = k**3 + 5*k**2 + k - 2. Calculate the remainder when 77 is divided by z(-4). 7 Let u(d) = -9*d + 9*d + d**2. What is the remainder when u(-6) is divided by 19? 17 Suppose 28 = 2*s + 6. What is the remainder when s is divided by 5? 1 Let u(w) = -w**3 - 3*w - 2*w + 0*w**3 - 3*w**2 - 2 + 0*w**3. Calculate the remainder when 37 - -1 - (3 - 3) is divided by u(-3). 12 Let m(k) = 2*k**2 + k - 1. What is the remainder when m(4) is divided by ((-4)/5)/(1/(-15))? 11 Suppose 0 = -3*y - 2*y - 3*u + 29, -2*y + 20 = -3*u. Calculate the remainder when 13 is divided by y. 6 Suppose 0 = 4*r - 26 - 206. Suppose 3*i = -4*q + 48 + 10, 2*i - 35 = q. Suppose -u + 2 + i = 0. Calculate the remainder when r is divided by u. 18 What is the remainder when ((-1)/2)/((-5)/140 + 0) is divided by 8? 6 Suppose -x + 2*r + 32 = 5*r, 5*x - 4*r - 65 = 0. Calculate the remainder when 65 is divided by x. 14 Suppose -3*j = -
{ "pile_set_name": "DM Mathematics" }
(i) = 4*f(i) - 5*r(i). Let a be u(-13). Suppose a = 4*d - 77. Does 3 divide d? False Suppose -3*u - 10*u = -624. Let d = u + -8. Is 5 a factor of d? True Suppose 30*t = 19*t - 38*t + 295813. Is t a multiple of 31? False Let y(u) = -166*u - 1. Let z be y(-1). Let c = 9 + -4. Suppose 0*d - z = -5*d + f, d - c*f - 57 = 0. Does 5 divide d? False Let i = -2369 + 1649. Let h = i + 1077. Does 51 divide h? True Let f be (70/(5 + 0))/(-2). Is (252/15)/(f/(-35)) a multiple of 12? True Is 15 a factor of (-6 - -4 - 5846/(-3))*378/84? True Let q = -34624 + 85462. Is q a multiple of 37? True Let r(a) = a**2 + 14*a + 19. Let m = 121 + -134. Let s be r(m). Suppose -s*h = -h + 3*v - 655, -3*v = -h + 149. Does 7 divide h? False Suppose 5*i + 8 = 3. Let h be (-18)/(-15)*i*40/6. Let z(j) = j**3 + 9*j**2 - j - 2. Does 5 divide z(h)? True Suppose 434714 = 39*a - 301195 - 551871. Does 127 divide a? True Let j(z) = -6*z**2 - 21 + 6 + z + 12 + z**3. Let u be j(6). Suppose 4 = -a + u*v, -2*a - 40 = -7*a + 3*v. Is a a multiple of 3? False Let w be 57 + 0/(3 + -5). Let s = 59 - w. Is 26 a factor of (-78)/7*(s + -9)? True Let r = 9 - 29. Let a = r - -58. Suppose 5*k + 108 = 10*k - u, -2*k + 3*u = -a. Is 3 a factor of k? False Let j(v) = v**2 + 13*v - 5. Suppose 0 = -3*i - 0 + 9. Suppose q - 28 = 2*a - i*q, -4*a - q = 83. Is 30 a factor of j(a)? False Suppose -13*f + 9*f + 7344 = 12*f. Does 17 divide f? True Let w be ((-2)/3)/((-21)/(4851/(-22))). Let t(a) = -21*a - 2. Is 29 a factor of t(w)? True Suppose -29*s = -2*t - 30*s - 14, 3*t + 21 = -2*s. Let b = t + 77. Does 8 divide b? False Let o(w) = 6*w**2 + 5*w - 10. Let f be o(-15). Suppose -14*r + f + 191 = 0. Does 4 divide r? True Let i = 44 + -48. Let u be -9*(44/3)/i. Suppose 2*l + 12 = -l, -q + u = 3*l. Is q a multiple of 4? False Let y(a) be the first derivative of a**4/4 - 14*a**3/3 - 3*a**2 - 3*a - 25. Is y(15) a multiple of 12? True Let h(s) = -5*s**3 - 235*s**2 + 0*s**3 + 5*s**3 + 21 + 245*s**2 + s**3 + 10*s. Suppose -4*t + 3*w + 2 = 23, -2*t + 2 = -4*w. Is 12 a factor of h(t)? True Let m = 86 + -131. Let c = m - -45. Suppose 5 = -5*d, c*g + 3*d = 3*g - 21. Is g a multiple of 3? True Is 55 a factor of ((-764)/10)/((1/4)/(-18 + -17))? False Let d(h) = h**2 + 8*h - 18. Let z be d(-10). Suppose -4569 = -2*v - 2*v - 5*g, -z*v + 2*g + 2280 = 0. Is 16 a factor of v? False Suppose 82*c - 187537 - 70189 = 0. Is 149 a factor of c? False Let f(o) = o**2 - 17*o + 22. Let u be f(16). Suppose 10*q = 9*q - u. Is 6 a factor of ((528/9)/(-8))/(4/q)? False Let k(w) = 14*w + 2. Let s be k(3). Is 2/4 + 0 - (-18370)/s a multiple of 6? False Let h(w) = 113*w**3 + 3*w**2 - 4*w. Let v = -4 - -5. Is 4 a factor of h(v)? True Suppose 2*d - 3922 = 5*r + 4*d, -2*r - 1592 = -5*d. Let f = r + 1263. Is f a multiple of 53? True Let p(n) = -n**3 - 2*n**2 + 12*n + 1. Let h be p(-5). Let g(s) = 6 + 2*s + 2*s**2 - 9*s - h. Is 25 a factor of g(-4)? True Let j = 7457 + -4721. Is j a multiple of 24? True Suppose -4*y + 24 = 5*x - 5, 8 = -2*y. Is 21 a factor of x/3 + 104*3? True Suppose -y - 117533 = -4*y - 2*h, -2*h + 195883 = 5*y. Is 11 a factor of (-20)/210 - y/(-105)? False Let t be 86/(-43) + 14/2. Suppose 0 = i + 5*n - 329, 0 = -i + t*n + 246 + 63. Does 29 divide i? True Let b = -2719 - -4044. Does 7 divide (b/(-50))/(1 - 5/4)? False Let z(a) = a**2 - 86. Let r be z(-10). Is 3 a factor of 43*(-7)/r*-2? False Let m(o) = o**3 - 3*o**2 - 4*o + 11. Let j be m(6). Suppose -j*r + 83*r + 7032 = 0. Is r a multiple of 21? False Suppose -259*t + 2*l - 13930 = -264*t, -3*t = -5*l - 8327. Is 29 a factor of t? True Let j = 906 + -895. Suppose -7*g = -j*g + 2*i + 828, -3*g + 2*i + 621 = 0. Is 8 a factor of g? False Let f = 22 + -22. Suppose -4*t = t - f*t. Let l(n) = n**2 + 79. Does 33 divide l(t)? False Let v be (-134)/(-26) - 10/65. Suppose -3*q - x - x = -30, 0 = -v*q + x + 37. Suppose -q*m + 650 = -3*m. Is 13 a factor of m? True Let g(x) = -951*x + 3083. Is g(-8) a multiple of 14? False Suppose 3*x - 7890 = 5*n, 0 = 2*x - x + 2*n - 2652. Does 55 divide x? True Does 6 divide (-7)/14 - (0 - (-4277)/(-14))? False Let b(q) = 71*q + 2049. Is b(28) a multiple of 11? True Let z = 896 - 640. Let m = z - -444. Does 25 divide m? True Let f(x) = 4*x - 2. Let r be f(5). Suppose 4*s - 2*j - 180 - 6 = 0, -2*s - 4*j + 78 = 0. Let t = s - r. Is t a multiple of 9? True Suppose o - 5 + 0 = 0. Is 14 a factor of -582*((-112)/(-24) - o)? False Suppose -123240 = -41*o + 15*o. Does 79 divide o? True Let p = -36 + 71. Suppose 0 = -4*b - 5*k + 119, 0 = b - 0*b - 4*k - p. Suppose -8*n - 2*w + 6 = -7*n, -4*n + b = w. Is n a multiple of 4? True Let v be ((-126)/(-10))/(3/10). Is 11 a factor of (-38)/((-306)/v - -7)? False Let j(x) = 32*x**2 - 8*x + 13. Let d be j(3). Suppose 7*u - d - 45 = 0. Let m = u + 284. Does 49 divide m? False Let q = -49 + 28. Let n be -1*25 + (-13)/(65/10). Let x = q - n. Is 2 a factor of x? True Let o = 518 - 23. Suppose -3313 = -4*p + o. Does 14 divide p? True Let q = 21266 - 12707. Is 113 a factor of q? False Is 1*5*749152/80*2/2 a multiple of 37? False Let o be ((-10)/280*-16)/(4/14). Does 12 divide (170 - o) + 0/(-22)? True Let r = -32 - -32. Suppose r = -2*u + 246 + 400. Is 42 a factor of u? False Let j be -3 - (-25)/9 - (-440)/36. Suppose 0 = 3*q - o - o - 113, 4*q - 3*o - 151 = 0. Let b = j + q. Is 15 a factor of b? False Suppose -5*y + 1007 + 3898 = 0. Suppose -10*n + 739 + y = 0. Does 23 divide n? False Suppose 5*z + 25 = 0, 7*z - 15 = -5*j + 6*z. Suppose -3*t - j*b + 1561 = 0, 4*t - 3*b - 2128 = b. Is 6 a factor of t? False Suppose 11*w = 54 - 10. Suppose w*v - 11*i + 8*i = 1652, 5*v - 2060 = 5*i. Is v a multiple of 8? True Is 2*(4371/6 - 12/((-2)/(-1))) a multiple of 17? True Let h(j) = 3*j**2 - 17*j - 151. Is 23 a factor of h(16)? True Let l(n) = 12*n - 41. Suppose 21*v + 174 = 23*v. Suppose -14*i + v = -53. Is l(i) a multiple of 8? False Let i = 9256 - 6556. Is i a multiple of 12? True Suppose 0 = -5*w - 30, -21*w + 19034 = 4*i - 16*w. Is 51 a factor of i? False Let q(i) = 164*i + 1318. Is 20 a factor of q(24)? False Let f(j) be the second derivative of -j**3/2 + 32*j**2 - 35*j - 2. Does 17 divide f(-41)? True Let t(j) = 51*j**3 + j**2 + 8*j + 10. Does 75 divide t(5)? True Let q(c) = -10 - 10*c + c + 6*c + 2*c. Let w be q(-13). Suppose -w*k = -184 + 61. Is 13 a factor of k? False Let t(h) = 2*h + 25. Let w be t(-11). Suppose w*q + 0*z = -2*z - 118, -q - 46 = -z. Let v = q + 172. Is 13 a factor of v? True Let t(x) = -9*x + 151. Let z be t(17). Is 20 a factor of 285 + (-4 + 5)/(z/(-8))? False Let b = -12 - -14. Suppose b*x - 4*x = -4*s - 18, 4*s = -x - 3. Suppose x*g = -l + 15, 2*l - 3*l - 3 = -4*g. Is l a multiple of 2? False Suppose 104*o - 144 = 2*v + 105*o, -v = 3*o + 72. Let n = -515 - -219. Let g = v - n. Is 28 a factor of g? True Suppose -224*l - f = -219*l - 18811, 3767 = l + 5*f. Is l a multiple of 6? True Let t = 429 + -640. Let f = t + 269. Is f a multiple of 7? False Let b be (-2)/3 + (-2)/6. Let x(w) be the second derivative of -23*w**3/3 - 3*w**2/2 + w. Does 9 divide x(b)? False Let b be (-7)/(4 + -11) - (-276)/(-3). Let y = b - -285. Is y a multiple of 11? False Suppose 37*o - 41204 = -13898. Is 18 a factor of o? True Let p be 10/(-105)*6 + (-8)/(-14). Suppose -3*k + 240 + 297 = p. Is 4 a factor of k? False Does 15 divide ((-18)/(-12))/(2 + 3921/(-1962))? False Let p be 3/((-18)/(-8))*(-27)/(-6). Let z(a) = 7*a**2 - 47. Is 34 a factor of z(p)? False Let p = -1279 - -913. Let v = 43 - p. Is v a multiple of 65? False Suppose 5*b = -4*m + 25354, -3153*b + 31682 = 5*m - 3152*b. Is m even? True Let o = 16133 + -10841. Is o a multiple of 6? True Let j be 70/15 + (-7)/(-21). Suppose 0 = -j*z + 101 + 2294. Is z a multiple of 15? False Suppose 5*j - 74028 = 2*s - 12724, 0 = 3*j - 2*s - 36776. Does 21 divide j? True Is (-238)/(-9520) - 39198/(-80) a multiple of 98? True Suppose q = 3*y + 420, 3*q - 25 + 16 = 0. Let h = 328 - y. Does 6 divide h? False Let a = 2361 + -2289. Does 4 divide a? True Let f(o) = -o**2 - 9*o + 2. Let y be f(-9). Suppose -y*w + 30 = 3*w. Suppose -1075 = -w*z + z. Is 36 a factor of z? False Let l = 16649 - -47018. Is 218 a factor of l? False Does 2 divide (0 + (136 - (-6 + 13)))/((-15)/(-80))? True Suppose -254*r +
{ "pile_set_name": "DM Mathematics" }
11 + 755*u. Calculate 11*q(k) - 2*t(k). k Let t(d) = -1 + 4 - d - 4. Let q = -6 + 0. Let l(j) = -7*j - 7. Determine q*t(f) + l(f). -f - 1 Let a(y) = 7*y**3 + 6*y**2 + 8*y - 6. Let x(z) = z**2 - z + 0 + 2*z + z**3 - 1. Suppose -11 = 6*f - 5. Calculate f*a(k) + 6*x(k). -k**3 - 2*k Let v(o) = 10431*o**3. Let u(y) = -64*y**3. What is -488*u(s) - 3*v(s)? -61*s**3 Let p(z) = -z**2 + 4*z - 1. Let k(u) = u**3 + 2*u**2 + 2*u + 2. Let b be k(-2). Let o(q) be the first derivative of -q**2/2 - 2. Determine b*o(a) - p(a). a**2 - 2*a + 1 Let h(q) = -1. Let s(l) = l. What is 5*h(d) - s(d)? -d - 5 Let l(h) = h**3 - h**2 - 1. Let j(b) = -3*b**3 + 4*b**2 + 7. Suppose 3*d + 3 + 0 = 0. Determine d*j(c) - 4*l(c). -c**3 - 3 Let o(s) = s**3 + 22*s**2 - 2*s. Let q(v) = -6*v**3 - 110*v**2 + 11*v - 1. What is 11*o(p) + 2*q(p)? -p**3 + 22*p**2 - 2 Let i(a) = -9*a + 8. Let p(v) = -8*v + 7. What is -5*i(c) + 6*p(c)? -3*c + 2 Let q(u) = -2*u. Let l(c) = c. Suppose 0 = 5*s - 3 - 52. Let h = -16 + s. Determine h*l(n) - 4*q(n). 3*n Let a(d) = 3*d - 4. Let c(i) = i. Let y = 5 + -4. Let l(p) = y*a(p) - 4*c(p). Let g(j) = -j - 5. What is 3*g(m) - 4*l(m)? m + 1 Let c(j) = 1 - 3*j + 5*j - j - 2*j**2. Let m(l) = -13*l + 77. Let b be m(6). Let f(z) = -z. What is b*c(r) - 2*f(r)? 2*r**2 + r - 1 Let i(b) = 6 + 2*b + 5*b**2 - 4*b**2 - 8*b. Let x(w) be the second derivative of -w**3/6 + w**2/2 - 3*w. What is -2*i(y) + 11*x(y)? -2*y**2 + y - 1 Let r(j) = 13*j**3 - 4*j**2 + 12. Let k(p) = -6*p**3 + 2*p**2 - 6. Determine -9*k(n) - 4*r(n). 2*n**3 - 2*n**2 + 6 Let a(g) = -g - 1. Let s be (-78)/21 - 2/7. Let h(i) = 23*i + 14. Let r(c) = 8*c + 5. Let t(x) = s*h(x) + 11*r(x). Determine a(f) - t(f). 3*f Let j(k) be the second derivative of 1/6*k**3 + 1/2*k**2 + 0 - k. Let x(z) = z + 1. Let g(v) = -8*v - 8. Let h(y) = -g(y) - 4*x(y). Calculate -6*h(n) + 22*j(n). -2*n - 2 Let m(t) = -t**2 + 2*t - 2. Let o(r) = r. Let s be o(2). Let i(j) = 4*j - j**3 - 5*j + 0 - j**2 + 4*j - 2. Calculate s*i(c) - 3*m(c). -2*c**3 + c**2 + 2 Let i(g) = -g**2 + 7*g - 1. Let a(y) = -y. What is -28*a(h) - 4*i(h)? 4*h**2 + 4 Let l(a) = -24*a - 6. Let w(q) = 25*q + 7. Determine -4*l(v) - 3*w(v). 21*v + 3 Suppose -19*u = -11*u + 8. Let l(b) = b**2 + 6*b + 2. Let x(s) = -s. Determine u*l(p) - 6*x(p). -p**2 - 2 Let g(l) = 6*l + 2. Let j(m) = -2 + 5*m + 3 + 1 + 2*m. Suppose 0 = 4*t - t - 15. Determine t*j(i) - 6*g(i). -i - 2 Let b(m) = -m**3 - m**2 + 3. Suppose -2*t - 4*v = 34, 0*t + 3*t - 2*v + 11 = 0. Let i(d) = -2*d**3 - 2*d**2 + 7. Determine t*b(o) + 3*i(o). o**3 + o**2 Let p(d) = d**3 - 4*d - 1. Let t(f) = -4*f**3 + 5*f - 2. Let q(n) = -9*n**3 + 10*n - 5. Let h(r) = -3*q(r) + 7*t(r). Give 4*h(z) + 5*p(z). z**3 - 1 Suppose -m + 4*q - 1 + 6 = 0, 0 = 2*q. Let p(i) = i - 6 + 2*i + 11*i**3 - m*i**2 - 5*i - 3*i**2. Let l(t) = 7*t**3 - 5*t**2 - t - 4. What is -8*l(u) + 5*p(u)? -u**3 - 2*u + 2 Let i(t) = 10*t**3 + 1. Let a(u) = -30*u**3 - 2. Determine 3*a(o) + 8*i(o). -10*o**3 + 2 Let m(p) = p**2 - 11. Let z(q) = q**2 + q - 12. Calculate 3*m(n) - 2*z(n). n**2 - 2*n - 9 Let i(z) = 60*z**2 - 18*z + 18. Let q(f) = -17*f**2 + 5*f - 5. Suppose -5*c + 2*r = -31, -2*r = -c - 1 + 12. Calculate c*i(t) + 18*q(t). -6*t**2 Let z(d) = -1. Let u(g) = 3*g + 2. Give u(q) + 2*z(q). 3*q Let o(y) = y - 8. Let z(p) = -7*p + 13. Let f(s) = -3*s + 7. Let w(a) = -5*f(a) + 2*z(a). Determine -7*o(m) + 6*w(m). -m + 2 Let d be (-132)/(-60) + (-2)/10. Let g(r) be the second derivative of 0*r**3 + r**2 - r + 1/12*r**4 + 0. Let x(p) = 5*p**2 + 11. What is d*x(s) - 11*g(s)? -s**2 Let j(m) = -3*m + 4. Let g(h) be the second derivative of 2*h**3/3 - 3*h**2 - 10*h. Determine 5*g(k) + 7*j(k). -k - 2 Let b(p) be the first derivative of -p**4/4 + p**3/3 - p**2/2 + 31. Let c(v) = 10*v**3 - 9*v**2 + 9*v. Calculate -36*b(z) - 4*c(z). -4*z**3 Let s(k) = k**3 - k**2. Let p(x) = -5*x**3 + 6*x**2. Suppose h - 3 = 4*h + 2*t, 0 = h - 4*t + 1. Give h*p(g) - 6*s(g). -g**3 Let n(v) = v - 2. Let o(z) = 5*z - 11. What is -11*n(x) + 2*o(x)? -x Let i(j) be the first derivative of -j**2/2 + 3. Let l(k) = -k - 2. Calculate -3*i(c) + l(c). 2*c - 2 Let t = 2 - 8. Let p(a) = a**3 - a. Suppose 4*r + 1 = -3. Let x(b) = -4*b**3 + 8*b. What is r*x(z) + t*p(z)? -2*z**3 - 2*z Let i(o) = 7*o + 25. Let j(c) = 15*c + 49. Give 13*i(l) - 6*j(l). l + 31 Let f(z) = z**3 - 8*z**2 + 2. Let t(o) = o**2. What is f(i) - 2*t(i)? i**3 - 10*i**2 + 2 Let d(z) = z**3 - 8*z + 9. Let y(w) = -21*w + 50*w - 1 - 28*w. Give -2*d(q) - 18*y(q). -2*q**3 - 2*q Let d(y) = y + 7. Let w(b) = -2*b - 15. What is 7*d(f) + 3*w(f)? f + 4 Let r(h) = -2*h**2 - 2*h. Suppose 0*u + 3*u = 15. Suppose 0 = -2*q + 6, -6 = 3*n - 5*q + 3. Let l(a) = -9*a**2 - 3*a + 8*a + 13*a**2. Determine n*l(t) + u*r(t). -2*t**2 Let p(r) = -8*r**3 + 2. Let o(c) = -8*c**3 - c**2 + 3. Give 2*o(l) - 3*p(l). 8*l**3 - 2*l**2 Let x(d) = 17*d**2 - 17*d + 4. Let u(j) = 4*j**2 - 4*j + 1. Let w = -58 - -32. Give w*u(k) + 6*x(k). -2*k**2 + 2*k - 2 Let o(y) = -7*y**2 - 8*y - 9. Let q = -54 - -63. Let v(z) = 2*z**2 + 2*z + 2. Calculate q*v(f) + 2*o(f). 4*f**2 + 2*f Let d(h) = 29*h**2 + 3*h - 4. Let f(z) = 14*z**2 + z - 2. Determine -2*d(t) + 5*f(t). 12*t**2 - t - 2 Let t(a) = -5*a**3 + 9*a**2 - 2. Let b(u) = 26*u**3 - 44*u**2 + 11. Give 2*b(f) + 11*t(f). -3*f**3 + 11*f**2 Let y(c) = 7*c**2 - 6*c - 6. Let s = 10 - 4. Let u(w) be the third derivative of -w**5/3 + 17*w**4/24 + 17*w**3/6 + 2*w**2. What is s*u(t) + 17*y(t)? -t**2 Let g(v) be the second derivative of -2*v**3/3 + v**2 + 3*v. Let c(d) = -3*d + 2. What is 6*c(m) - 5*g(m)? 2*m + 2 Let c(i) = i**2 - i - 5. Let p be c(0). Let k(l) = -l - 1. Let r(x) = x + 1. Calculate p*r(u) - 3*k(u). -2*u - 2 Let o(g) = 5*g + 10. Let j(f) = 6*f + 11. Determine -3*j(l) + 4*o(l). 2*l + 7 Let r(a) = a**2 + 2*a + 1. Let c(g) = -3*g**2 - 6*g - 3. Give 4*c(m) + 11*r(m). -m**2 - 2*m - 1 Suppose 2*r - 1 = -o + 10, r = 2*o + 13. Let z(w) = 3*w + 9. Let y = -2 - -6. Let m(c) = 1 + c + y + 3*c - 2*c. Calculate r*m(s) - 4*z(s). 2*s - 1 Let n(t) = 3*t + 3. Let q(u) = 1. Determine -n(w) - 2*q(w). -3*w - 5 Let m(s) = -8*s**3 + 5*s**2 - 5*s - 9. Let o(i) = -2*i**3 + i**2 - i - 2. Give -2*m(y) + 9*o(y). -2*y**3 - y**2 + y Let t be 2/8 - 86/(-8). Let u(g) = -4*g. Let w(o) be the third derivative of -7*o**4/8 - o**3/6 - 17*o**2. Determine t*u(s) - 2*w(s). -2*s + 2 Let u(i) = -i**3 - 3*i**2 + 3*i + 3. Let o(f) = -f + f**3 - f - 2 + 2*f**2 + 0*f**3. Let p(b) = -b**2 + 18*b + 37. Let c be p(20). Determine c*o(n) - 2*u(n). -n**3 Let q = -19 - -4. Let u be 10/3*36/q. Let k(a) = -5*a**2 + 2*a + 3. Let y(l) = 14*l**2 - 6*l - 8. Give u*k(z) - 3*y(z). -2*z**2 + 2*z Let q(g) = -g - 7. Let a(f) = f + 5. Determine 7*a(j) + 5*q(j). 2*j Let s(b) = -b**2 - 3*b - 1. Let f(j) = j - 1. Calculate 3*f(z) - s(z). z**2 + 6*z - 2 Let k(x) = -2*x + 9. Let w be (6/(-9))/((-10)/75). Let j(v) = v - 4. Calculate w*j(t) + 2*k(t). t - 2 Let d(r) = -2*r + 27. Let z(i) = -3*i + 41. Let q(l) = 8*d(l) - 5*z(l). Let x(v) = -1. Let o(c) = 2*c - 2. Let y be o(0). Determine y*q(a) - 22*x(a). 2*a Let m = 3 - 5. Let z(r) = -2. Let p be ((-4)/(-7))/(18/63). Let x(a) = a - 1. Give m*z(j) + p*x(j). 2*j + 2 Let p(a) = 3*a**3 + 17*a**2 - 17*a + 3. Let f(j) = j**3 + 6*j**2 - 6*j + 1. Let v(l) = 17*f(l) - 6*p(l). Let u(n) = 6*n**3 + 2. Calculate u(y) + 2*v(y). 4*y**3 Let s be (-2)/8 + (-150)/40. Let i(v) = -14*v**2 + 11*v + 11. Let w(n) = 5*n**2 - 4*n - 4. What is s*i(l) - 11*w(l)? l**2 Let w(z) = 4*z. Suppose -2*i + 3*c + 28 = 0, 8*i - 28 = 6*i + 2*c. Let g(o) = -o. Determine i*g(l) + 3*w(l). -2*l Let s(g) = 8*g**2. Let n(p) = -7*p**2. Give 2*n(c) + 3*s(c). 10*c**2 Let g(v) be the first derivative of v + 3 - 1/3*v**3 + 1/2*v**2 + 1/4*v**4. Let c(s) = 4*s**3 - 2*s**2 + 4*s + 2. Calculate c(p) - 2*g(p). 2*p**3 + 2*p Let a(x) = -319*x**2 - 121*x + 121. Let f(g) = 8*g**2 + 3*g - 3. Calculate 6*a(h) + 242*f(h). 22*h**2 Let i(o) = 13*o**2 - 2*o + 11. Let b(k) = -k**3 + 11*k**2 - 10*k - 3. Let w be b(10). Let c = -3 + w. Let t(g) = -7*g**2 + g - 6. What is c*i(p) - 11*t(p)? -p**2 + p Let y(r) = 4*r - 4. Let a be y(2). Let d(v) = 2*v**3 - 4*v**2 - 4*v. Let k(o) = -2*o**3 + 3*o**2 + 3*o. Calculate a*k(c) + 3*d(c). -2*c**3 Suppose -3*s = -6*s - 18. Let d(v) = -4*v. Let q(c) be the second deriv
{ "pile_set_name": "DM Mathematics" }
ors of 458175154. 2, 229087577 List the prime factors of 178845742. 2, 7687, 11633 List the prime factors of 60325063. 41, 1471343 What are the prime factors of 26523842? 2, 17, 109, 421 List the prime factors of 7394677. 17, 434981 What are the prime factors of 96725820? 2, 3, 5, 281, 5737 List the prime factors of 2650424648. 2, 331303081 List the prime factors of 466787024. 2, 11, 23, 953 What are the prime factors of 574472432? 2, 17, 43, 49117 What are the prime factors of 942655346? 2, 2393, 196961 List the prime factors of 69584354. 2, 7, 101, 49211 What are the prime factors of 122914767? 3, 2297, 17837 What are the prime factors of 34240310? 2, 5, 13, 263387 List the prime factors of 17307679. 17307679 List the prime factors of 3130597. 31, 100987 What are the prime factors of 1824241903? 11, 31, 263, 20341 List the prime factors of 1466634130. 2, 5, 13, 19, 101, 5879 What are the prime factors of 359724695? 5, 11, 71, 92119 What are the prime factors of 1083669298? 2, 139, 3898091 List the prime factors of 1598337482. 2, 7, 23, 73, 97, 701 What are the prime factors of 14222062? 2, 7111031 List the prime factors of 14188510. 2, 5, 7, 202693 What are the prime factors of 7991818136? 2, 998977267 List the prime factors of 1654040350. 2, 5, 33080807 List the prime factors of 31078539. 3, 1151057 List the prime factors of 61930335. 3, 5, 4128689 What are the prime factors of 24368288? 2, 7, 15541 What are the prime factors of 280734047? 11, 31, 26557 List the prime factors of 14573093. 263, 55411 List the prime factors of 861089646. 2, 3, 1019, 140839 List the prime factors of 335280323. 7, 1511, 31699 List the prime factors of 6792875. 5, 31, 1753 What are the prime factors of 225255346? 2, 112627673 List the prime factors of 561963690. 2, 3, 5, 113, 163 List the prime factors of 46539742. 2, 31, 750641 List the prime factors of 491643725. 5, 31, 43, 14753 What are the prime factors of 7629174? 2, 3, 7, 20183 List the prime factors of 57392375. 5, 53, 8663 List the prime factors of 1001405480. 2, 5, 167, 149911 What are the prime factors of 45147667? 19, 1039, 2287 What are the prime factors of 882684039? 3, 41, 1439, 4987 What are the prime factors of 8230524? 2, 3, 103, 6659 List the prime factors of 423767484. 2, 3, 7, 80077 List the prime factors of 1162175615. 5, 232435123 What are the prime factors of 932095060? 2, 5, 13, 3584981 List the prime factors of 187383435. 3, 5, 17, 734837 What are the prime factors of 917104396? 2, 13, 613, 28771 List the prime factors of 14057759. 17, 826927 What are the prime factors of 2166157979? 2166157979 List the prime factors of 1883342323. 211, 8925793 List the prime factors of 56419670. 2, 5, 1117, 5051 What are the prime factors of 111233920? 2, 5, 7, 3547 List the prime factors of 448964755. 5, 137, 163, 4021 List the prime factors of 1438315278. 2, 3, 103, 2327371 List the prime factors of 7307219134. 2, 3653609567 What are the prime factors of 31176885? 3, 5, 29, 71671 List the prime factors of 477630269. 277, 1069, 1613 List the prime factors of 880230334. 2, 440115167 List the prime factors of 192254123. 192254123 What are the prime factors of 275223565? 5, 55044713 List the prime factors of 63209096. 2, 29, 272453 List the prime factors of 3255398808. 2, 3, 283, 479299 What are the prime factors of 39183656? 2, 1327, 3691 List the prime factors of 180016077. 3, 17, 397, 523 List the prime factors of 474101616. 2, 3, 1321, 7477 What are the prime factors of 14570429? 1741, 8369 What are the prime factors of 65476825? 5, 229, 11437 List the prime factors of 264963850. 2, 5, 43, 123239 List the prime factors of 149820789. 3, 1093, 45691 What are the prime factors of 96524516? 2, 11, 2193739 What are the prime factors of 1018084439? 89, 11439151 List the prime factors of 437445053. 437445053 What are the prime factors of 721470484? 2, 7, 719, 35837 What are the prime factors of 81320514? 2, 3, 11, 379, 3251 List the prime factors of 38295407. 17, 37, 107, 569 List the prime factors of 1196238952. 2, 883, 169343 What are the prime factors of 448688477? 19, 23615183 List the prime factors of 647179337. 7, 941, 98251 What are the prime factors of 79017877? 79017877 What are the prime factors of 5852730? 2, 3, 5, 13, 43, 349 What are the prime factors of 757693219? 757693219 List the prime factors of 2031679023. 3, 11, 31, 1986001 List the prime factors of 4259286921. 3, 179, 7931633 List the prime factors of 1044028991. 73, 14301767 List the prime factors of 1096254791. 25457, 43063 List the prime factors of 622655733. 3, 7, 59, 197, 2551 What are the prime factors of 93357850? 2, 5, 1867157 List the prime factors of 1052199306. 2, 3, 6709, 8713 What are the prime factors of 549717286? 2, 937, 293339 List the prime factors of 2857828. 2, 19, 31, 1213 What are the prime factors of 699031561? 83, 8422067 What are the prime factors of 637600499? 19, 33557921 What are the prime factors of 558712274? 2, 23, 89, 136471 What are the prime factors of 289511606? 2, 37, 3912319 What are the prime factors of 31470371? 23, 109, 12553 List the prime factors of 49666390. 2, 5, 4966639 What are the prime factors of 6517143? 3, 37, 19571 List the prime factors of 529970261. 47, 11275963 What are the prime factors of 1137193758? 2, 3, 53, 1192027 List the prime factors of 1100636654. 2, 13, 42332179 What are the prime factors of 866575164? 2, 3, 7, 13, 71, 11177 What are the prime factors of 65939007? 3, 643, 34183 What are the prime factors of 1406070761? 53, 1009, 26293 List the prime factors of 50480027. 13, 3883079 List the prime factors of 21643986. 2, 3, 7, 13, 809 List the prime factors of 243742920. 2, 3, 5, 43, 47237 What are the prime factors of 39914389? 2909, 13721 List the prime factors of 1806748835. 5, 361349767 List the prime factors of 20434180. 2, 5, 13, 78593 List the prime factors of 38467071. 3, 1277, 3347 List the prime factors of 373138428. 2, 3, 13, 1511, 1583 List the prime factors of 4936708339. 23, 373, 575441 What are the prime factors of 14133731? 14133731 What are the prime factors of 46105064? 2, 23, 127, 1973 List the prime factors of 1924912527. 3, 23, 27897283 What are the prime factors of 35714495? 5, 7142899 List the prime factors of 265568265. 3, 5, 401, 14717 List the prime factors of 4614659938. 2, 7, 31, 47, 226231 What are the prime factors of 25953935? 5, 7, 741541 List the prime factors of 248356942. 2, 19, 6535709 What are the prime factors of 123981987? 3, 41327329 List the prime factors of 40848035. 5, 83, 98429 List the prime factors of 31606467. 3, 3011, 3499 What are the prime factors of 391636755? 3, 5, 23, 126131 List the prime factors of 127716673. 7, 67, 272317 What are the prime factors of 361487531? 361487531 What are the prime factors of 58728954? 2, 3, 59, 165901 What are the prime factors of 887173987? 7, 126739141 List the prime factors of 1309574529. 3, 23, 151, 41897 What are the prime factors of 735160551? 3, 43, 132533 List the prime factors of 6760569. 3, 61, 36943 What are the prime factors of 606141144? 2, 3, 7, 44543 List the prime factors of 256831556. 2, 97, 283, 2339 List the prime factors of 52663359. 3, 7, 47, 229, 233 List the prime factors of 421480468. 2, 37, 433, 6577 What are the prime factors of 90479379? 3, 83, 363371 List the prime factors of 33117160. 2, 5, 827929 What are the prime factors of 1442109692? 2, 360527423 List the prime factors of 357086317. 7, 719, 70949 List the prime factors of 796755726. 2, 3, 13, 73, 46643 What are the prime factors of 18238225? 5, 37, 19717 What are the prime factors of 153898424? 2, 2549, 7547 What are the prime factors of 335509888? 2, 7, 41, 9133 List the prime factors of 1718101004. 2, 59, 7280089 List the prime factors of 4866779516. 2, 17, 79, 271, 3343 What are the prime factors of 25906084? 2, 499, 12979 What are the prime factors of 20170830? 2, 3, 5, 197, 3413 What are the prime factors of 28040361? 3, 17, 29, 18959 What are the prime factors of 8470306215? 3, 5, 7, 37, 157, 1543 What are the prime factors of 38669683? 13, 41, 72551 What are the prime factors of 1944363062? 2, 19, 51167449 What are the prime factors of 15512931? 3, 7, 211, 389 What are the prime factors of 1119571
{ "pile_set_name": "DM Mathematics" }
Which is the third smallest value? (a) w (b) g (c) x b Let v be ((-3)/4)/(3/84). Let i be 1/v*(-12)/4. Let u = 0.6 + 3.4. Which is the smallest value? (a) i (b) 5 (c) u a Let i = 0 - -2. Let c = i + -6. Let w be ((-2)/(-6))/((-25)/30). What is the third biggest value in 0, w, c? c Let p = -0.51 - 0.49. What is the second biggest value in p, -1/32, 2? -1/32 Let k = 2 - 5. Let o = k + 2.6. Let b = 0.5 + o. What is the biggest value in -2/11, b, -0.1? b Let x be ((-290)/18)/(-5) - 3. Let w = 8 + -8.3. Let o = -0.1 - w. What is the smallest value in -2/7, x, o? -2/7 Let h = -6.985 - 0.015. Let x = -66 - -59.2. Let v = x - h. Which is the second smallest value? (a) 2 (b) 3 (c) v a Let y = 0.01 + 0. Let t = 0.19 + y. What is the second smallest value in 2/3, t, -2/3? t Let z = -0.43 + -0.07. What is the third biggest value in -1, z, 0.5? -1 Let b be 2/(-4)*(-7)/(-35). What is the second smallest value in b, 0.4, -0.3? b Suppose -12*j = 12 - 48. Which is the smallest value? (a) -2/3 (b) j (c) -2 c Let l = 5 - 3. Let h = 0.7 - 0.7. What is the smallest value in h, l, 0.5? h Let b = -6.3 + 1.3. Let s = 1.014 + -0.014. What is the third biggest value in s, b, -3? b Let v = 41 - 41.5. Let m = -20 - -13. What is the second biggest value in v, m, -4? -4 Let w be 3/2*(-3)/18. What is the biggest value in -0.5, -3, w? w Let w = -5.5 - -5. Let u be -4 - 5/((-125)/110). Which is the smallest value? (a) -3/7 (b) u (c) w c Let q = 2050 - 2059.99. Let k = q - 0.01. Let b = -10.2 - k. What is the second biggest value in 1, b, -2/9? b Let u = -1/126 + -53/126. Which is the fourth smallest value? (a) -0.4 (b) u (c) 0 (d) 3 d Let v = 52 - 30. Let k = v + -19.94. Let i = k + -0.06. What is the third smallest value in 4, 1, i? 4 Let q = -7 + 7.1. Let g = -16.5 - -17. Which is the third smallest value? (a) g (b) q (c) 0 a Let j = -21 - -17. Which is the second biggest value? (a) 8 (b) 3 (c) -2/7 (d) j b Let f be 5*(1 + 4/(-3)). Which is the third biggest value? (a) -2 (b) f (c) -9 c Let x = -14 + 20. Which is the third smallest value? (a) -2 (b) x (c) -4/7 b Let s = -23 - -22.7. Which is the biggest value? (a) s (b) -3 (c) 10 c Let k = 6.85 + 0.15. Which is the second smallest value? (a) 4/7 (b) k (c) 1 c Let m = -353/1467 + 3/163. What is the biggest value in 0.4, m, 4? 4 Let s = 0.7 + -0.5. Let v = 104 - 419/4. What is the smallest value in -4, s, v? -4 Suppose 3*n + 4*i - 44 = -14, 4*n - 3*i - 40 = 0. Let o be 3 - ((-78)/n)/(-3). Which is the third smallest value? (a) 3 (b) o (c) -0.5 a Let r = -5.6 - -6. Suppose -q = q - 2. Let n = 0.1 + -0.1. What is the second biggest value in r, q, n? r Let j = -82 - -84. Which is the second smallest value? (a) 94 (b) -5 (c) j c Let y = 6 - 5.6. Let g = 0.04 + -4.04. Which is the smallest value? (a) g (b) 5 (c) y a Let y = 227/5 - 45. Which is the third biggest value? (a) 30 (b) y (c) -0.2 c Suppose -2*q + 4*q = 0. Let v be 4/5 + q/(-2). Let s = -0.06 - -2.06. Which is the smallest value? (a) 2/11 (b) v (c) s a Let u = -26.019 + 0.019. Let i = 26 + u. What is the second smallest value in i, -5, -3? -3 Let y = -0.49 + 0.09. Let o = -1.1 + 1. Which is the smallest value? (a) o (b) 2/5 (c) y c Suppose 8 - 68 = 10*h. Which is the second biggest value? (a) -3 (b) -1 (c) h (d) -0.4 b Let b = -5 - -7. Let o be (-26)/(-39)*15/(-2). Let n = -0.8 - 0.2. What is the biggest value in n, o, b? b Let u = -1.65 - -0.65. Which is the fourth biggest value? (a) -0.1 (b) 5 (c) u (d) 7/5 c Let u = -24.6 + 25. Let x = -0.03 + 2.03. Let g = x - 2. What is the biggest value in u, g, -1/7? u Let n = 11 + -12. Let b(g) = -g**3 - 2*g**2 - g - 3. Let a be b(-3). Let y be (n/12)/(a/48). What is the biggest value in -2, 0.2, y? 0.2 Let f = -215 + 1508/7. Let h = 9 - 7. Which is the third biggest value? (a) -4 (b) f (c) h a Let h be -2 + (-28)/(-6) + -2. Let n = -344/565 - -1/113. What is the third smallest value in h, n, -1? h Let g(m) = m**2 + 15*m - 37. Let t be g(-17). What is the biggest value in 2/9, t, 3/5, 0.07? 3/5 Let q be (-4)/(-12)*(0 - -1). Let v = -253/4 + 63. What is the third smallest value in v, q, -2/21? q Let f be (-3)/78*-2*-7. Let o = f + 1/26. What is the second smallest value in 5, o, -1? o Let k be ((-3)/4)/((-1)/4). Let t = 0.7 - 0.5. Let m = -1.8 - 0.2. What is the third smallest value in t, m, k? k Let z = 1.99 + 0.01. Let w = 66.7 + -69. Let m = z + w. What is the biggest value in m, 0.4, 1/4? 0.4 Let j = -78 - -76. Which is the third smallest value? (a) 1.1 (b) -0.2 (c) j a Suppose -l = 3*t - 1, 0 = 4*t + 3*l + 2*l + 6. What is the third smallest value in -4/9, t, -0.3, -4? -0.3 Let h = 47 - 33. Let i = h - 13.7. What is the third smallest value in 0, -4, i? i Let r = 908231/15120 - 1627/27. Let p = r + -1/112. What is the smallest value in p, -2/7, 2/7? -2/7 Let h be 12/14*16/24. Let y(t) = t**2 + 9*t + 2. Let q be y(-9). Which is the smallest value? (a) h (b) q (c) -1 c Suppose 7*d - 78 = 6. Which is the third smallest value? (a) -0.3 (b) 2 (c) d c Let s be 2 - 3 - 214/9. Let w = s + 25. Which is the second smallest value? (a) 0 (b) 2 (c) w c Let y be -2*(2 - (-68)/(-40)). Let t = -2.2 + 1.75. Let u = t + 0.05. What is the third smallest value in y, -5/2, u? u Let q(j) = -j**3 + j**2 + j + 4. Let x be q(0). Which is the third biggest value? (a) -2/7 (b) x (c) 5 a Let j be (-18)/14*3/9. Which is the smallest value? (a) 1 (b) j (c) -2/11 b Let o = 95.98 - 97. Let z = o - -1. What is the second biggest value in z, 1/7, 0? 0 Let j = 10.3 - 10. What is the biggest value in 5, -4, j? 5 Let x = 0.1 - 0.5. Let z = 0 - x. Let l = 19/36 - 3/4. Which is the biggest value? (a) l (b) -3 (c) z c Let b = 2/31 - -27/62. Let q = -53/114 + 12/19. What is the smallest value in 1/4, q, b? q Let n = -0.3 - -0.2. Let p = 0.03 + -5.03. Which is the third biggest value? (a) n (b) 0.4 (c) p c Suppose -2*o - 17 = -3*g - 4, 0 = -4*g - 4*o + 4. Suppose -a = -4*a - g. Let b be a/(-9)*(-2)/(-2). What is the third biggest value in 1/3, -0.1, b? -0.1 Let f = -330 - -3627/11. What is the third biggest value in 1, f, 5? f Let s = 72.5 + -72. What is the second biggest value in 3/2, s, -1, -3? s Let g(w) = w + 3. Let j be g(0). Which is the third biggest value? (a) j (b) -5 (c) -1/4 b Let b = 143.4 - 162. Let g = 19 + b. What is the second smallest value in g, 0.06, 0.5? g Let d be 1/(-5) - (-44)/(-5). Let k be (-9)/2 + (-7 - d). Let b = -1 + 2. What is the second smallest value in 0.3, k, b? 0.3 Let u = 4.14 - 0.14. Let q = 3.1 - 0.1. What is the smallest value in -1/5, q, u? -1/5 Let w = -248/5 + 50. What is the second biggest value in 0.3, w, -11? 0.3 Let r = -32.1 + 32. Let p be 911/340 - (1 - -1). Let j = p - -6/85. What is the third biggest value in j, r, -2/7? -2/7 Let d(n) = -n**3 + n**2 + n + 5. Let r be d(0). Suppose -5 = -4*p + r*p. Which is the biggest value? (a) 1/5 (b) -0.2 (c) p a Let s(d) = d**2 + 11*d + 3. Let h be s(-11). Let m(k) = 2*k**2 - 2*k - 2. Let l be m(2). Which is the second smallest value? (a) -0.4 (b) l (c) h b Suppose 5*m - 16 = 9. Which is the biggest value? (a) 0.2 (b) 2 (c) m (d) 0.5 c Let m = 236/3 - 78. Let t = 5.2 + -5. What is the second smallest value in -1, m, t? t Let m = -3 + 0. Let t = 0 - 2. What is the third smallest value in t, m, -0.2? -0.2 Let c = 3 + -8. Let s = 6.3 + 0.7. Let t = s + -7.5. What is the third smallest value in 1, c, t? 1 Let t = -0.02 - -0.22. Let y(j) = 4*j**3 + j**2 - j + 1. Let h be y(1). Which is the third biggest value? (a) -0.5 (b) t (c) h a Let n = -3 + -4.7. Let v = n + 8. Let y = 0.2 + v. Which is the second smallest value? (a) y (b) -3 (c) -2 c Let y = -0.05 - 0.25. Suppose -5*h - 135 = 5*z, -5*h - 145 = 2*z + 5. Let u be -3 + (-2)/h*46. Which is the third biggest value? (a) 0.1 (b) y (c) u b Let t be -3*(-2)/9 + -1. Which is the third smallest value? (a) t (b) 2 (c) -4 b Let q be (-1 + 3)/(2/(-28)). Let d be (-3 - q/8)/3. What is the second biggest value in 3, d, -2/9? d Let z = -6.7 + 7. Let n = 0.4 - 2.4. Let j = 0.7 + 0.3. Which is the second biggest value? (a) n (b) z (c) j b Let z be 2/(-1 - (-9)/12). Let y = -3 - z. Which is the smallest value? (a) 0.5 (b) y
{ "pile_set_name": "DM Mathematics" }
(36/(-15))/((-28)/70). Let y = 5 + 5. Solve -r*v + v = -y for v. 2 Let y be 10 + -6 - (2/2 + 1). Suppose -2*q = -s - 1, -3*q + y*s - 3 = -5. Solve q = -b - 1 - 2 for b. -3 Let j(m) = -m**2 - 9. Let v(a) = -a. Let u(g) = -j(g) - 2*v(g). Let p be u(-3). Solve -5*x + x + p = 0 for x. 3 Let k(j) = j + 3. Let i be k(-2). Suppose -i - 23 = -12*u. Let c be 1/(2 - 1) + -1. Solve 2*l + c = -u for l. -1 Let f = -73 + 76. Solve f*m = -6 - 6 for m. -4 Let t be -2 - (1 - 3 - 2). Suppose t*a - 3 = 1. Suppose -6 = -x - a*x. Solve -x*m - m - 12 = 0 for m. -4 Let o = 1 - 3. Let c = 4 + o. Solve c*y - y = 2 for y. 2 Let k(g) = 3 + 239*g**2 - 3 + 2 - g**3 - 236*g**2. Let u be k(3). Solve u = y - 3*y for y. -1 Let z(y) = -3*y + 6. Let u be z(6). Let f be (u/14)/((-2)/7). Suppose f*p - 1 = 5. Solve -3*k = p*k + 10 for k. -2 Let b = 22 - 18. Let n(r) = 4*r + 6. Let j(d) = -4*d - 6. Let u(x) = 6*j(x) + 5*n(x). Let z be u(-4). Solve -z + 2 = -b*h for h. 2 Let m be 4 - (-48)/((-4)/(-1)). Let z be m/(-2) + 4 - 36. Let c be (-7)/(-2)*z/(-70). Solve 2*k + 6 = -c for k. -4 Let t be ((-147)/(-105))/((-4)/(-100)*5). Solve -4*g + 7 - t = 0 for g. 0 Let q(v) = v**3 + 2*v**2 + v + 1. Let g = 19 + -21. Let l be q(g). Let n be l/4 - (-325)/20. Solve -4*c - n = -0 for c. -4 Let x be ((-6)/(-5))/((-6)/(-15)). Let s(l) = 2*l**2 - 4*l + 3. Let b be s(-3). Suppose 5*n = j - b, x*j = j - 2*n + 6. Solve 2*k + 0 + j = 0 for k. -4 Suppose 0 = -h + 6 + 17. Let u = h - 31. Let i = -8 - u. Solve i*c + 3*c = -15 for c. -5 Let v = -272 - -275. Solve 3 + 0 = -v*m for m. -1 Let k be ((-10)/(-15))/(2/87). Let v = k + -19. Suppose 2*q = 7*q + 2*b - 10, -5*q = b - v. Solve 0 = -q*o + o for o. 0 Let q(a) = -a**3 - 17*a**2 - 52*a. Let o be q(-13). Solve -3*r + 16*r + 13 = o for r. -1 Suppose 371*r - 617 = -322*r + 1462. Let u = 0 + 1. Solve u = -r*q + 7 for q. 2 Let u(g) = -58*g - 347. Let x be u(-6). Solve -x = j - 5 for j. 4 Let q = 15 + -5. Suppose q*z - 5*z = -5*v + 40, -4*v + 46 = -3*z. Solve -a - a - v = 0 for a. -5 Suppose v + 20*l - 6 = 18*l, v + 6*l = 2. Solve -v*o = -11*o + 12 for o. 4 Let r be (8/20)/((-2)/(-30)). Suppose -j + 3*k + 2 = k, -2*k + r = 3*j. Suppose m - 3 = 3*t, -3*m + 9 = -5*t + j*t. Solve m*a = -a - 8 for a. -2 Suppose -9 = -7*s - 23. Let y be s/12*3*-4. Solve -y*u + 4 = -4 for u. 4 Let w(d) be the third derivative of d**3 + 0*d + 1/60*d**5 - 4*d**2 + 0 - 7/24*d**4. Let g be w(6). Solve g = -4*j + j + 12 for j. 4 Suppose -3*u = -0*u - 12. Solve u*i = -i for i. 0 Let v(d) = -d**2 + 5*d + 5. Let r be v(5). Let a be (4/(-6))/((-14)/63). Suppose -40 = -a*b - 0*b - 4*t, b - 25 = t. Solve 5*c + b = -r for c. -5 Suppose 0 = -4*s, 4 = -p - 3*s + 13. Let x be 3 - (p/(-6))/(6/8). Let j be -2 - (12 + 1)*-1. Solve -x*f = -4 - j for f. 3 Let h(t) = -t**2 + 3*t + 24. Suppose -3*w = -3*y - 15, -3*w - 5*y = -1 - 22. Let j be h(w). Suppose -2*m - s = -9, -4*s + 10 = -4*m - m. Solve j*q = m*q for q. 0 Let u be -3*(4 - 42/9). Suppose -4*d = z + z + 2, z + 3 = -d. Suppose 0 + 10 = d*i. Solve u*l - 3 = i for l. 4 Suppose -4*n = 3*s + 3, -2*s = -0*s - n - 9. Suppose 0 = 30*o - 41*o. Solve z + s - 1 = o for z. -2 Suppose -3*v = -3*z + 71 - 86, -28 = -2*v - 4*z. Solve v*c + 1 = 9*c for c. 1 Let p(h) = 3. Let r(k) = k**2 + 7*k - 10. Let a(s) = 6*p(s) + r(s). Let q(v) = v**3 - 4*v**2 - 6*v - 1. Let f be q(5). Let w be a(f). Solve -w*y = -y + 1 for y. -1 Let p be (-30)/20*-2*3/9. Solve -15 = -7*q - p for q. 2 Let y(c) = 4*c. Let r be y(1). Let f(l) = 2*l**3 - 158*l**2 - 154*l - 465. Let q be f(80). Solve -r*d - d + q = 0 for d. 3 Suppose 2*q + 12 = h - q, 4 = 3*h - q. Let p = -2 + 37. Suppose -5*s + p - 10 = h. Solve s*i + 8 = i for i. -2 Let b(a) be the second derivative of 0 + 1/20*a**5 - 1/2*a**2 - 4*a - 1/6*a**4 - 1/3*a**3. Let m be b(3). Solve 5*d = -17 + m for d. -3 Let a(g) = -3*g**2 + 38*g + 7. Let q be a(12). Solve -7*k = 45 - q for k. -2 Let i(h) = 2*h**3 - 37*h**2 + 21*h - 50. Let q be i(18). Solve -m + q = -2*m for m. -4 Suppose -3*c + 0 = -18. Suppose 18*a - c = 15*a. Solve -15 = -5*o + a*o for o. 5 Suppose 301 = -11*w + 279. Let c(f) = f**3 - 5*f**2 + 7*f + 4. Let v(y) = y**2 - y. Let n(q) = -c(q) - 6*v(q). Let o be n(w). Solve o - 14 = 3*k for k. -4 Let z(h) = h**2 + 10*h - 16. Let q be z(-12). Solve -q*w + 5*w = -3 for w. 1 Let y = 8 + -6. Suppose 14 + 20 = 5*z + 2*o, y*o = 5*z - 46. Suppose -5*n + 3*t + 20 = 0, n - 4*n + 2*t + 12 = 0. Solve 16 = -n*v + z*v for v. 4 Suppose 2*c + 4*b + b - 49 = 0, -b + 17 = c. Suppose -4*y + c = 0, 4*w - y = 45 - 16. Solve 8 + w = 4*n for n. 4 Let r be -1 + 1 - (-2 - 23). Let w = -8 + r. Suppose 5*u + p = 23, p = 2*u + 4*p - w. Solve -5*i + 1 + u = 0 for i. 1 Suppose -15 = -3*n, h - 2*n - n = -45. Let i be 2/6 - 110/h. Solve q = -q - i for q. -2 Suppose 0*c = -c - l + 6, 4*c + 3*l = 29. Let o(u) = -u - 3. Let g be o(c). Let f = g - -18. Solve -3*r = -7*r - f for r. -1 Let f = 50 + -45. Suppose -f*p - 39 + 99 = 0. Solve 0 = -6*o + 3*o + p for o. 4 Suppose 0 = u + k - 30, u + 93 = 5*u - 5*k. Let v = -25 + u. Solve -2*o + 0*o = -v for o. 1 Let f = 37 - 40. Let o be 63*5/30*(-4)/f. Solve -4*r + 6 + o = 0 for r. 5 Let b be ((-8)/2)/((-40)/50). Suppose b*k - 212 = -52. Let q = -32 + k. Solve -c + 0*c - 5 = q for c. -5 Suppose 2*d - 5*r - 5 = 0, 8*r - 5*r = 3*d - 3. Solve d = 6*u - 10 - 14 for u. 4 Let y be 8/(-6)*((-54)/2 - -12). Solve 7*t = -y - 8 for t. -4 Suppose -15 = -5*l + 5. Let u(c) = -c**3 + 8*c**2 - 2*c - 1. Let q be u(l). Suppose 5*d - 95 = -5*w, -5*d + q = -0*w + 3*w. Solve -w = k - 6*k for k. 4 Suppose o = -f, -5*o + 4*o - 10 = -4*f. Suppose 4*v = -0*v - 4, -2*a = f*v + 2. Let l = 2 + 0. Solve l*x + a*x = 8 for x. 4 Suppose 3*y - 4 = -4*w, -2*y + 3 = 3*w + 2*y. Let d be -6*((-9)/6 + w). Suppose -z = -g + z + 8, 0 = d*g + z - 3. Solve a = g*a + 3 for a. -3 Suppose -2*m + 5*r - 13 = 0, m - 3*r = -0 - 8. Suppose 6*p = 7*p + 9. Let k be ((-6)/4)/(p/30). Solve -k = 4*c - m for c. -1 Let u be (-26)/(-10) - (-90)/225. Solve -11 = 7*f + u for f. -2 Suppose 0 = 5*b + 2*s - 509, b - 12*s + 11*s = 99. Let t = b - 100. Solve 3 = 4*j - t for j. 1 Suppose 4*j - 5 = -1. Let l be -1 - (j - 2 - 2). Suppose u = l*u. Solve u*c + 10 = 5*c for c. 2 Let b(x) = x**3 - 28*x**2 + 53*x + 31. Let k be b(26). Solve -47 = -5*f - k for f. -2 Suppose 5*j - 59 = v, -2*j - j + 3*v + 33 = 0. Solve -2 = 5*l - j for l. 2 Suppose -4*s + 2 = -b - 9, 2*s + 4*b - 28 = 0. Solve -s - 12 = 4*i for i. -4 Let y(z) = z**3 + 11*z**2 - 27*z - 8. Let r be y(-13). Solve -3 = 4*n + r for n. -2 Let k(y) = -y**2 - 11*y - 13. Let c be k(-7). Suppose -3*u - c = 2*x, -2*x + 2*u + 2*u + 20 = 0. Suppose x*h = -3*h + 9. Solve -h*o + 5 = 2*o for o. 1 Let t(c) be the third derivative of -c**5/60 + 5*c**4/8 + 3*c**3 + 16*c**2. Let n be t(16). Solve -n*q = -q for q. 0 Let j(i) = -i**2 - 3*i - 2. Let p = 5 + -6. Let a be j(p). Solve 16 + a = 4*d for d. 4 Let p be (-24)/(-7)*238/51. Solve p = 9*r - 2 for r. 2 Suppose -12 + 24 = 6*r. Solve -r - 10 = -4*b for b. 3 Let l = 2 - 2. Suppose 4*q + 12 = 4*s, 5*s - 50 + 14 = -2*q. Let a(y) = y**3 - 6*y**2 - y + 9. Let x be a(s). Solve -x = -n - l for n. 3 Let p(y) be the third derivative of -y**4/6 - 11*y**3/6 + y**2. Let w(r) = -4*r + 21. Let q be w(6). Let x be p(q). Solve -2*o + 3*o - x = 0 for o. 1 Suppose 4 = -j, -j + 4 = x + 5. Let m be (-9)/(-12) - (1 + (-5)/4). Solve x = -2*p - m for p. -2 Suppose 10*y - 70 = -4*y. Solve y*g - 10 = -30 for g. -4 Suppose -3*q - 2*q - 23 = -2*x, 4*q + 12 = 0. Let p = 4 - 3. Solve p = -x*l - 15 for l. -4 Let t = -396 + 406. Solve t = r + 15 for r. -5 Let h be (-6)/21 - 180/(-42). Let j(g) = 6*g - 3. Let q be j(1). Solve q*a - 1 = h*a for a. -1 Suppose -3*w + 9 - 51 = 0. Let y = w + 14. Suppose y = 4*x - 0 - 8. Solve -x*i = 2*i - 20 for i. 5 Suppose -20 = -5*l + 2*d, 2*l = 4*l + 3*d - 8. Suppose -3*w + 6 = f, -l*f + 5 = 5*w - 5. Solve n - 2 = w*n for n. -2 Suppose -g - 25 = -f, 5*f + 4*g = 186 - 34. Suppose 4*n = 5*w - f, 4*n - 15 = -3. Solve 4*y + 0 - w = 0 for y. 2 Let a be 4/(-14) + (-111)/(-21). Suppose 2*u = -12*u + 42. Solve -10 = u*c - a*c for c. 5 Let j be 5*3/(12/(-4)). Let f be (1 - j)*14/3. Suppose 4*i + 2 = -c - 4, 2*c - f = 2*i. Solve t = -t - c for t. -5 Suppose 0 = -7*z - 12 + 26. Solve z = -h + 7 for h. 5 Su
{ "pile_set_name": "DM Mathematics" }
et x be p(-25). Sort x, 0, 2, -3. -3, 0, 2, x Let f = 8/3 - 7/2. Put 0, 1, f, -0.1 in ascending order. f, -0.1, 0, 1 Let j = 3726.4 + -3726. Let q be 3 + (-2 - (-1 + 0)). Put 0.5, j, 5, q in descending order. 5, q, 0.5, j Let g(k) = -3*k - 4. Let q be g(-5). Suppose -7*z - 8 = -q*z. Let c = 127/186 + -1/62. Sort -2/11, c, z in increasing order. -2/11, c, z Let c = 20 + -19.8. Let x(p) = 6 + 9 - 48*p + 45*p. Let w be x(6). Sort c, -0.4, w in descending order. c, -0.4, w Let k(y) = 2*y**3 + y**2. Let i be k(-1). Suppose -5*z - 3*a + 9 = 0, 5*z + a + 3 = 2*a. Put i, 5, z, -9 in descending order. 5, z, i, -9 Let h = -102.065 - -0.065. Let o = -108 - h. Sort 5, o, 3 in increasing order. o, 3, 5 Let g = -6 - -8. Let c = -20 + 23. Put 5, g, -3, c in descending order. 5, c, g, -3 Let j = 319/5 - 962/15. Put 0.4, 2, j, -5 in descending order. 2, 0.4, j, -5 Let g = -211/4 - -53. Let i = 0.6 - -3.4. Sort i, 0.1, g in descending order. i, g, 0.1 Let k = -286 + 281. Put -1, k, -8, 1/10 in descending order. 1/10, -1, k, -8 Let j = -373 - -372.7. Let p = -5 + 0. Sort -2/11, p, j. p, j, -2/11 Suppose l = -3*f - 1, 7*l = -5*f + 5*l. Sort f, 5, 4. f, 4, 5 Suppose 0 = -5*y, -4 = -d - 5*y - 1. Suppose -10 = 4*r + 3*b, 4*r + 5 = -b - 1. Sort -3, r, d, -5 in decreasing order. d, r, -3, -5 Let u be ((-9)/15)/(16/10). Let i = 4 + -3.6. Put i, -4, u in ascending order. -4, u, i Let r = 0.06 - -7.94. Let u = -10 + r. Let i = -1 + 1.4. Sort u, 1/2, i. u, i, 1/2 Let q = 163 - 153. Suppose 178*z + q = 173*z. Sort 0, 4, -5, z in ascending order. -5, z, 0, 4 Let l(u) = -2*u**2 + 6*u + 12. Let t be l(8). Let n = -69 - t. Suppose 0 = 5*h - 2*g + 10, 0 = 5*h - 3*g - g. Sort 2, n, h. h, n, 2 Suppose 9*r = -4 + 22. Put -1, -3, r in decreasing order. r, -1, -3 Suppose 6 = l + l. Let h be (-7 - -10)*4/l. Sort -1, h, 5 in decreasing order. 5, h, -1 Let h = -4 + 6. Let s(i) = i**2 - 11*i + 12. Let y be s(0). Suppose h*o - y = -o. Sort o, 2, -2. -2, 2, o Let c be 22/4 + (-15)/30. Suppose -4*x + 9*x + 20 = 0. Let d = x + c. Put -3, -1, d in decreasing order. d, -1, -3 Suppose -a = 2*a + 15. Suppose -y - 6 = -5, 5*r + y - 9 = 0. Suppose r*s = 0, -4*i - 4*s + 5 + 11 = 0. Put i, a, 5 in increasing order. a, i, 5 Suppose -5*o = -5*z + 40, z + 50*o - 10 = 49*o. Let v(b) = -2*b - 5. Let p be v(-4). Sort p, -2, z in descending order. z, p, -2 Let h be -7 + (3 - 1) + -1 + 0. Put h, -4, 0, 4 in increasing order. h, -4, 0, 4 Let h = -845 - -845. Suppose 11 = 2*z + 3. Sort 2, -1, z, h in descending order. z, 2, h, -1 Let z = 0.78 - 0.8. Let d = -38 - -38.4. Sort d, z, -5. -5, z, d Let s = -97166/111 - -18530430361/21168699. Let p = s + -33751788/235525615. Let h = p + -1/95. Sort -0.3, h, 0 in ascending order. -0.3, h, 0 Let z = -39 + 47. Let v be z/6*1/4. Let h be 0 - (1 - (-10)/(-8)). Sort -1, v, h in increasing order. -1, h, v Let s be ((-3)/4)/(75/(-500)). Put s, -19, 2/9 in descending order. s, 2/9, -19 Let n = 6 - 2. Let i be (-16)/9 - n/18. Let q = -6 - i. Sort q, 10, -3 in ascending order. q, -3, 10 Let f = 11.8 - 42.8. Put f, -0.4, 2 in descending order. 2, -0.4, f Suppose 5*o = -3*a + 10, 2*o - 4*a + 12 = 42. Suppose 4*y - 3*y - c = o, 4*y = c + 14. Sort -10, -5, 0.2, y. -10, -5, 0.2, y Let b be 1*(-4 + (-7)/(-7)). Sort 1, b, -18, 0. -18, b, 0, 1 Let q = -6 - -4. Let n be ((-2)/10)/(2/q). Let t = -320 - -319.6. Sort 2/5, t, n. t, n, 2/5 Suppose -u - 104 = -3*j, 5*j + 2*u = -3*u + 140. Let y = j - 30. Suppose -5*k - f = -5*f + 36, 2*k + 4 = -f. Put y, 1, k in decreasing order. y, 1, k Let z = 46.2 - 41.2. Let r be ((-4)/1)/(-4 - -6). Put z, -4, 2/5, r in increasing order. -4, r, 2/5, z Let l = 0.311 - 0.511. Suppose -c = -3*y - 3, 3*c + 5*y = 1 + 8. Sort c, -1, l, 2 in increasing order. -1, l, 2, c Let p be -7*14/(-49) + -1. Sort 3, p, -4, -1 in descending order. 3, p, -1, -4 Let w = 857 + -858. Put 0, -2/3, w, 1 in increasing order. w, -2/3, 0, 1 Let f = 564 + -567. Sort 7, f, 0. f, 0, 7 Suppose -2*c - 5 + 1 = 0. Let q = -7 + 4. Let d be (-2)/q*105/10. Sort d, -5, c in descending order. d, c, -5 Let o = -0.354 + -14.546. Let j = o + 14. Let w = j - -1.4. Put 2/5, -2/9, w in descending order. w, 2/5, -2/9 Let p = -12.6 - -6.9. Let s = 4.7 + p. Let d = -7 - 0. Sort s, d, -3 in decreasing order. s, -3, d Suppose 2*d - 26 = 6*d - 3*c, -3*d = -3*c + 21. Suppose 2*x - 5*l + 16 = -0*x, -5*l + 22 = -4*x. Let g be x/(-3)*1*-1. Put d, 5, g in ascending order. d, g, 5 Suppose 2*q - q = 0. Suppose 4*k + p = 5*k, k + 5*p + 18 = q. Let y be (-1)/(48/15 + k). Sort -3, -4, y in descending order. -3, -4, y Let i = 4.7 + -0.7. Let y = 1.118 - 1.01. Let z = 0.308 - y. Sort z, i, -1/3 in decreasing order. i, z, -1/3 Let r be ((-24)/20)/(3/(-10)) + -5. Sort -4, -3, r, 3. -4, -3, r, 3 Let s be 1/(((-10200)/(-36))/(-10)). Sort s, 0.5, 1. s, 0.5, 1 Let z = -20 + 25. Let u = z - 41/8. Let t be 0 + -1 + 15/24. Put t, -0.5, u in decreasing order. u, t, -0.5 Let q = -0.3 - 0.7. Let y = -0.9 - q. Let m be (9 + 892/(-100))*5/(-1). Put y, m, 5/3 in decreasing order. 5/3, y, m Suppose 4*m = -m + 980. Let p = m - 1376/7. Sort 5, 1, p in increasing order. p, 1, 5 Let s(a) = 20*a - 183. Let k be s(9). Sort 5, k, 4, 76 in decreasing order. 76, 5, 4, k Let v = 132 + -136. Suppose o - 2*d + 0 = -2, -4*o - 2*d = -2. Sort -1, o, v. v, -1, o Let c(r) = -r**2 + 18*r. Let l be c(18). Sort 0.3, 0.04, l in ascending order. l, 0.04, 0.3 Let j = 952 + -956. Let v = -5 - -5. Let f = v - -4. Sort j, f, -9 in descending order. f, j, -9 Let k = -253 - -252. Let h = 6 + -8. Put 6, k, h in decreasing order. 6, k, h Let c(d) = d**3 + 5*d**2 - 7*d - 2. Let q be c(-7). Let v = -201/4 - q. Let x be 29/35 + (-4)/10. Put v, x, -1/9 in ascending order. -1/9, x, v Let k be (-6)/15 - (-11)/40. Let y(p) = -p**3 - 4*p**2 - p - 9. Let o = -119 - -115. Let t be y(o). Sort 1/4, t, k. t, k, 1/4 Let k = -30.4 + 60.2. Let z = 30 - k. Put z, 0.5, 2/7 in decreasing order. 0.5, 2/7, z Let u = 1080 - 1083. Sort 32, u, -2/3 in decreasing order. 32, -2/3, u Let z = 57 - 61.3. Let y = -3.3 - z. Let f = -85 - -428/5. Put 14, f, y in decreasing order. 14, y, f Suppose 11 = 3*d - 3*s + 2, 3 = 5*d - 2*s. Let v be 4 + d - (-7 + 2). Suppose -v = -3*b + 5*b. Sort b, -2, -3 in descending order. -2, -3, b Suppose -81*b + 70*b = -11. Suppose -t - 3*l - 10 = 0, -3*t - 26 = 2*t + 3*l. Sort t, b, -3 in descending order. b, -3, t Suppose -2 = 3*b - 4*n - 1, 2*b - n - 1 = 0. Let u = 19 + -17. Put b, u, -4, 4 in increasing order. -4, b, u, 4 Let m = -2 + 3. Let c(y) = -y**3 - y**2 + 2. Let l be c(0). Suppose -l*w - 8 = -6*w. Sort 5, w, m in decreasing order. 5, w, m Let x(u) be the second derivative of u**3/6 - 3*u**2 + 6*u. Let r be x(4). Let i = 1.5 + 0.5. Put -3, i, r in ascending order. -3, r, i Suppose -4*l - 35 = t + 4*t, -2*t - 1 = -l. Put t, 5, -5, 0 in decreasing order. 5, 0, t, -5 Let n = -2 - -1. Let v = n + 4. Suppose 114 = 71*k + 186 + 141. Put 2, v, k in increasing order. k, 2, v Let l(i) = 3*i. Let x(r) = -11*r - 1. Let c(j) = 9*l(j) + 2*x(j). Let z be c(-6). Let o = z - -98/3. Put 0.4, o, -4 in ascending order. -4, 0.4, o Let v = -12 + 14. Suppose -3*d + 17 = k, d + 2*d = -4*k + 32. Sort -12, v, d. -12, v, d Let n be -2 - 3 - (0 + -8). Suppose -3*u = -0*u - 3. Let i be 1/(-1*u/13). Put i, n, 5 in increasing order. i, n, 5 Let p be 3/(2/3*3). Let v be (-4)/(-1) + 10/2. Let o = 173/19 - v. Sort o, 3, p. o, p, 3 Let q = -0.39 - -1.29. Sort q, 1/10, -1/6 in ascending order. -1/6, 1/10, q Let d = 3.03 + -0.03. Suppose 0 = -2*l - 0*b - 4*b + 24, 2*l = 2*b - 6. Let w be (-2)/(-4)*(-2)/(-4). Sort w, d, l in decreasing order. d, l, w Let y(l) = -2*l**3 - 96*l**2 - l - 47. Let s be y(-48). Put -6, s, 5, -8 in ascending order. -8, -6, s, 5 Let z be -9 + -1 + 1 + (-18)/(-3). Let i = 5 + -3. Suppose -4*t + 15 = t. Put i, z, t in increasing order. z, i, t Let r(q) = 3*q - 9. Let y be r(6). Suppose 0*c - 2*c = -5*i + 18, c - 3*i = -y. Let v be 24/c - (-6)/9. Put 3, v, -1 in ascending order. v, -1, 3 Let l = 80 - 78.8. Let n = 2/5 - -7/20. Sort l, -1, n in decreasing order. l, n, -1 Let x = -728 + 729. Sort 5, -91, 3, x in descending order. 5, 3, x, -91 Let c be ((-12)/15)/(117/585). Let s = 1 - 0. Put -28, s, c in decreasing order. s, c, -28 Let r = 178.7 - 184.7. Put -2
{ "pile_set_name": "DM Mathematics" }
1106704 = 0. Calculate q. -526 Suppose -h**4/6 - 7*h**3/2 - 73*h**2/6 - 29*h/2 - 17/3 = 0. Calculate h. -17, -2, -1 Determine m so that 4*m**2 + 2464*m + 2460 = 0. -615, -1 Factor -t**3 + 50*t**2 + 104*t. -t*(t - 52)*(t + 2) Solve -y**2 - 1350*y - 455625 = 0. -675 Factor -u**2/2 + 3*u/2 - 1. -(u - 2)*(u - 1)/2 Suppose 15*l**4/7 + 12*l**3/7 - 243*l**2/7 + 348*l/7 - 60/7 = 0. Calculate l. -5, 1/5, 2 Solve x**2/7 + 111*x/7 - 342/7 = 0 for x. -114, 3 Factor -841*j**5/7 - 8149*j**4/7 - 28027*j**3/7 - 39267*j**2/7 - 18360*j/7 - 2700/7. -(j + 3)**3*(29*j + 10)**2/7 Find f such that -f**4 + 296*f**3 - 2324*f**2 + 5776*f - 4608 = 0. 2, 4, 288 Factor n**3/4 + 1001*n**2/2 + 1002001*n/4. n*(n + 1001)**2/4 Solve -2*c**5/3 + 2*c**4/3 + 40*c**3/3 = 0. -4, 0, 5 Solve 5*t**4 + 45*t**3 + 20*t**2 - 180*t - 160 = 0 for t. -8, -2, -1, 2 Find u, given that 3*u**5/2 + 93*u**4/2 + 87*u**3 - 3*u**2 - 177*u/2 - 87/2 = 0. -29, -1, 1 Factor -4*l**3 - 320*l**2 - 8052*l - 60984. -4*(l + 14)*(l + 33)**2 Factor r**2 + 1453*r + 1452. (r + 1)*(r + 1452) Factor -124*h**3/3 - 232*h**2/3 - 92*h/3 + 16/3. -4*(h + 1)**2*(31*h - 4)/3 Factor -2*f**3/11 + 10*f**2/11 + 26*f/11 + 14/11. -2*(f - 7)*(f + 1)**2/11 Let 88*t**2/7 - 166*t/7 - 20/7 = 0. Calculate t. -5/44, 2 Factor 3*t**2 + 7194*t + 4312803. 3*(t + 1199)**2 Factor 2*q**4 + 1730*q**3 + 371496*q**2 - 1137080*q - 1506848. 2*(q - 4)*(q + 1)*(q + 434)**2 Solve 2*t**4/5 - 118*t**3/5 + 2166*t**2/5 - 2410*t + 2000 = 0. 1, 8, 25 Factor m**3/7 + 13*m**2 + 2115*m/7 + 2025/7. (m + 1)*(m + 45)**2/7 Factor -4*f**4 - 39*f**3 - 90*f**2 + 25*f. -f*(f + 5)**2*(4*f - 1) Solve -3*a**5/2 + 24*a**4 - 189*a**3/2 + 138*a**2 - 66*a = 0 for a. 0, 1, 2, 11 What is f in -2*f**4/9 - 32*f**3/9 + 484*f**2/9 + 544*f - 5202 = 0? -17, 9 Factor -2*h**4/3 - 4*h**3/3 + 4*h/3 + 2/3. -2*(h - 1)*(h + 1)**3/3 Determine q, given that -4*q**3 - 10*q**2 + 4*q + 10 = 0. -5/2, -1, 1 Factor 3*y**4/4 - 9*y**2/2 - 6*y - 9/4. 3*(y - 3)*(y + 1)**3/4 Find k such that -14*k**5 - 74*k**4 - 76*k**3 - 16*k**2 = 0. -4, -1, -2/7, 0 Factor -b**4/6 - b**3 + 9*b**2/2. -b**2*(b - 3)*(b + 9)/6 What is i in 9*i**4 + 786*i**3 + 17676*i**2 + 22446*i + 5547 = 0? -43, -1, -1/3 Factor -3*r**4 - 21*r**3. -3*r**3*(r + 7) Let -2*u**4 - 130*u**3 + 270*u**2 + 130*u - 268 = 0. What is u? -67, -1, 1, 2 Factor -5*g**3 - 270*g**2 - 4860*g - 29160. -5*(g + 18)**3 Find z, given that -z**2 + 272*z - 807 = 0. 3, 269 Suppose -5*b**4/2 - 3675*b**3/2 + 1845*b**2 + 3680*b = 0. What is b? -736, -1, 0, 2 Factor -d**2 - 1807*d + 3618. -(d - 2)*(d + 1809) Factor 3*g**3/4 - 3*g**2/4 - 12*g - 15. 3*(g - 5)*(g + 2)**2/4 Let -3*a**3 + 21*a**2 = 0. What is a? 0, 7 Solve -3*m**2/8 + 9*m/8 + 135/2 = 0 for m. -12, 15 Factor -2*v**2/5 + 2*v - 12/5. -2*(v - 3)*(v - 2)/5 Factor -2*n**3/3 - 34*n**2/3 - 190*n/3 - 350/3. -2*(n + 5)**2*(n + 7)/3 Solve v**5 - 13*v**4 + 21*v**3 + 13*v**2 - 22*v = 0 for v. -1, 0, 1, 2, 11 Factor t**4/8 - 5*t**3/8 + 3*t**2/4. t**2*(t - 3)*(t - 2)/8 Let 3*s**3/4 + 3*s**2/2 - 3*s/4 - 3/2 = 0. What is s? -2, -1, 1 Factor 2*h**2/9 - 194*h/9 - 340/3. 2*(h - 102)*(h + 5)/9 Find a such that -3*a**4 - 75*a**3 - 72*a**2 = 0. -24, -1, 0 Factor r**3/7 - 50*r**2/7 + 188*r/7 - 184/7. (r - 46)*(r - 2)**2/7 Factor 5*n**3 - 77*n**2 + 300*n - 108. (n - 9)*(n - 6)*(5*n - 2) Factor -2*h**2/7 + 786*h/7 + 788/7. -2*(h - 394)*(h + 1)/7 Suppose h**2/4 - 38*h + 1444 = 0. Calculate h. 76 Determine t so that 13*t**4/2 + 31*t**3/2 - 48*t**2 - 62*t + 88 = 0. -44/13, -2, 1, 2 Solve 81*u**4 + 4536*u**3 + 8856*u**2 + 5856*u + 1296 = 0 for u. -54, -2/3 Solve -o**2/2 - 372*o = 0. -744, 0 Determine h, given that 2*h**5/15 - 4*h**4/5 + 44*h**2/15 + 2*h = 0. -1, 0, 3, 5 Suppose 15*y**5 + 160*y**4 + 410*y**3 + 160*y**2 - 105*y = 0. Calculate y. -7, -3, -1, 0, 1/3 Suppose 4*h**3 + 620*h**2 = 0. Calculate h. -155, 0 Let 2*j**3 + 1352*j**2 + 227130*j - 459684 = 0. What is j? -339, 2 Factor 14*b**3/15 - 1516*b**2/15 + 13752*b/5 - 3888/5. 2*(b - 54)**2*(7*b - 2)/15 Determine g, given that 20*g**5 - 105*g**4 + 45*g**3 + 415*g**2 - 465*g + 90 = 0. -2, 1/4, 1, 3 Let o**4/2 - 33*o**3/2 + 138*o**2 - 64*o - 1920 = 0. What is o? -3, 8, 20 Factor -15*x**5 + 51*x**4 - 18*x**3. -3*x**3*(x - 3)*(5*x - 2) Factor l**3 + 13*l**2. l**2*(l + 13) Find x, given that 2*x**3 - 1432*x**2 - 2870*x - 1436 = 0. -1, 718 Factor -2*f**5/7 - 12*f**4/7 - 4*f**3 - 32*f**2/7 - 18*f/7 - 4/7. -2*(f + 1)**4*(f + 2)/7 Suppose 139*q**3/3 + 92*q**2 - 421*q/3 + 2 = 0. Calculate q. -3, 2/139, 1 Factor 2*c**5/13 - 2*c**4/13 - 2*c**3/13 + 2*c**2/13. 2*c**2*(c - 1)**2*(c + 1)/13 Suppose 2*f**5/19 - 366*f**4/19 + 22326*f**3/19 - 453962*f**2/19 = 0. What is f? 0, 61 Suppose 2*u**2 + 304*u/9 - 34/9 = 0. What is u? -17, 1/9 Factor -5*w**3 + 25*w**2 - 20*w. -5*w*(w - 4)*(w - 1) Factor 4*w**3 + 22*w**2 + 30*w. 2*w*(w + 3)*(2*w + 5) Determine d, given that 2*d**2 - 52*d + 338 = 0. 13 Suppose 3*o**4 - 60*o**3 + 417*o**2 - 1116*o + 756 = 0. What is o? 1, 6, 7 Determine q, given that q**4/3 - q**3/3 - 19*q**2/3 + 49*q/3 - 10 = 0. -5, 1, 2, 3 Suppose -2*d**5 - 130*d**4 + 542*d**3 - 686*d**2 + 276*d = 0. What is d? -69, 0, 1, 2 Factor -3*j**4/5 + 27*j**3/5 + 3*j**2/5 - 27*j/5. -3*j*(j - 9)*(j - 1)*(j + 1)/5 Factor 4*s**5 + 80*s**4 + 100*s**3 - 5000*s**2 - 10000*s + 100000. 4*(s - 5)**2*(s + 10)**3 Factor p**3 + 1455*p**2 + 705675*p + 114084125. (p + 485)**3 Solve 2*c**3/3 + 58*c**2/3 + 120*c + 168 = 0. -21, -6, -2 Factor n**4/7 - 2*n**3 - 16*n**2/7 + 2*n + 15/7. (n - 15)*(n - 1)*(n + 1)**2/7 Determine h so that -3*h**4 + 36*h**3 - 45*h**2 - 168*h + 180 = 0. -2, 1, 3, 10 Factor -5*k**2 + 240*k - 2560. -5*(k - 32)*(k - 16) Solve -n**3/4 - 13*n**2/4 + 15*n/2 = 0. -15, 0, 2 Factor 4*n**3 - 32*n**2 + 60*n. 4*n*(n - 5)*(n - 3) Factor 2*l**2/11 - 6352*l/11 + 6350/11. 2*(l - 3175)*(l - 1)/11 Find m such that m**4/4 + 7*m**3/4 + 11*m**2/4 + 5*m/4 = 0. -5, -1, 0 Let -2*i**5/5 + 24*i**4/5 - 14*i**3/5 - 96*i**2/5 + 88*i/5 = 0. Calculate i. -2, 0, 1, 2, 11 Let p**3/4 - 23*p**2/4 = 0. What is p? 0, 23 Suppose -f**5/4 - 21*f**4/4 - 15*f**3/4 + 961*f**2/4 - 672*f + 441 = 0. What is f? -14, 1, 3 Factor 5*j**3 + 40*j**2 + 100*j + 80. 5*(j + 2)**2*(j + 4) Factor 2*z**3/11 + 42*z**2/11 + 166*z/11 - 210/11. 2*(z - 1)*(z + 7)*(z + 15)/11 Factor -2*k**2/11 - 2*k - 36/11. -2*(k + 2)*(k + 9)/11 Find d such that d**3/4 - 9*d**2 + 405*d/4 - 675/2 = 0. 6, 15 Determine k, given that 2*k**4/3 - 4*k**2/3 + 2/3 = 0. -1, 1 Solve 5*c**4 + 25*c**3 + 25*c**2 - 25*c - 30 = 0 for c. -3, -2, -1, 1 Determine m so that 4*m**3 + 12*m**2 - 40*m = 0. -5, 0, 2 Solve -2*t**3/3 + 206*t**2 - 16218*t + 46818 = 0. 3, 153 Factor -15*d**2/2 - 4281*d/2 - 855. -3*(d + 285)*(5*d + 2)/2 Suppose -d**4/10 - 13*d**3/5 + 42*d**2/5 - 43*d/5 + 29/10 = 0. Calculate d. -29, 1 Solve -l**2/3 - 1562*l/3 - 1561/3 = 0. -1561, -1 Determine x so that 2*x**3/13 + 30*x**2/13 + 136*x/13 + 168/13 = 0. -7, -6, -2 Find i, given that i**2 + 20*i - 300 = 0. -30, 10 Determine n, given that -3*n**4 - 30*n**3/7 - 9*n**2/7 = 0. -1, -3/7, 0 Solve 8*l**5 - 42*l**4 - 54*l**3 + 112*l**2 - 24*l = 0 for l. -2, 0, 1/4, 1, 6 Find i, given that 3*i**2/8 - 15*i/8 = 0. 0, 5 Determine m, given that -m**5 - 61*m**4/3 - 227*m**3/3 - 105*m**2 - 178*m/3 - 32/3 = 0. -16, -2, -1, -1/3 Factor -5*g**2 + 645*g + 650. -5*(g - 130)*(g + 1) Factor -5*w**4 - 950*w**3 - 47840*w**2 - 253920*w. -5*w*(w + 6)*(w + 92)**2 Determine n, given that -n**3/8 + 35*n**2/4 - 203*n/8 + 67/4 = 0. 1, 2, 67 Let -9*h**4/2 - 525*h**3/2 - 344*h**2 - 114*h = 0. What is h? -57, -2/3, 0 Factor 5*a**4 + 45*a**3 + 120*a**2 + 80*a. 5*a*(a + 1)*(a + 4)**2 Suppose -8*n**5/5 - 54*n**4/5 - 2*n**3/5 + 228*n**2/5 + 136*n/5 - 48/5 = 0. Calculate n. -6, -2, -1, 1/4, 2 Determine l, given that 2*l**2 - 96*l - 98 = 0. -1, 49 Solve -3*g**4/5 - 12*g**3/5 + 6*g**2/5 + 36*g/5 - 27/5 = 0. -3, 1 What is s in s**4/2 + 52*s**3/3 + 829*s**2/6 - 210*s + 54 = 0? -18, 1/3, 1 Let 3*w**2 - 5133*w - 5136 = 0. Calculate w. -1, 1712 Factor -5*t**5 - 25*t**4 - 45*t**3 - 35*t**2 - 10*t. -5*t*(t + 1)**3*(t + 2) Let 2*v**5 + 36*v**4 + 176*v**3 + 108*v**2 - 178*v - 144 = 0. Calculate v. -9, -8, -1, 1 Factor -4*j**3 + 236*j**2. -4*j**2*(j - 59) Factor -5*i**2 - 390*i - 7605. -5*(i + 39)**2 Solve 4*d**2 + 20*d - 144 = 0 for d. -9, 4 Factor f**3/3 + 53*f**
{ "pile_set_name": "DM Mathematics" }
ulate the highest common divisor of 10 and n. 2 Let w = -1562 + 1752. What is the greatest common divisor of w and 418? 38 Suppose 3*z = -14 + 44. Let a = 340 - 250. What is the greatest common divisor of a and z? 10 Let t = -134 - -144. What is the greatest common divisor of t and 18? 2 Suppose 19 = 3*z - 3*t - 26, 3*z - t = 51. Calculate the highest common factor of z and 24. 6 Let n = -4 - -25. Calculate the greatest common factor of 14 and n. 7 Suppose 2*a = 2*p, 2*a + 2*p - 5*p = -4. Suppose 5*j + f - 50 = -a*f, -8 = -4*j + 4*f. Calculate the greatest common factor of 12 and j. 6 Let c = 127 + -122. Suppose -c*f = 3*f - 408. Calculate the greatest common factor of f and 3. 3 Let j = -397 - -438. Calculate the greatest common factor of 1025 and j. 41 Let w(m) = -2*m**2 + 131*m - 17. Let i be w(65). Let a = 40 - 28. Calculate the greatest common divisor of i and a. 12 Let a = -1310 + 2892. Calculate the highest common divisor of a and 14. 14 Let x = -7 - -17. Let y = 10 - x. Suppose 2*j + 2*j - 18 = -5*r, y = 5*r - 3*j - 39. Calculate the greatest common divisor of r and 48. 6 Suppose 0 = 5*x + 4*p - 109, 0 = 2*x + p - 36 - 7. Suppose 2*t + 328 = 4*l + 6*t, 5*t - 158 = -2*l. Calculate the greatest common factor of x and l. 21 Let d be 1 - 210/12*4/(-5). Let m(t) = -t**2 + 13*t + 46. Let l be m(d). What is the highest common divisor of 8 and l? 8 Let b(h) = -h**2 + 6*h + 5. Let s be b(7). Suppose -27 = -4*y - 3*j, -2*j = 3*y + j - 21. Let v = y + s. Calculate the highest common factor of v and 40. 4 Let t(c) = c**3 - 11*c**2 + 10*c + 7. Let f be t(10). Suppose 3*v = -y + 85, 262 + 104 = 4*y - v. What is the highest common factor of f and y? 7 Suppose -m + 4*n + 96 = 0, -n + 73 = 3*m - 176. Calculate the highest common factor of m and 357. 21 Suppose 0 = 2*s - 17 + 7. Suppose -4*q + 0*k - 4*k = -8, s*k = 0. What is the highest common divisor of q and 6? 2 Let u = 9 - 5. Let j = 21 - u. Suppose -2*x - j = -67. What is the highest common divisor of 200 and x? 25 Let y = 6 + -2. Let n(c) = -c**2 - 7*c - 10. Let w be n(-5). Suppose 2*a + 5*u - 38 = w, y*u + 20 = 4*a - 0*u. What is the greatest common factor of 45 and a? 9 Let b = -1042 - -1048. Suppose -5 = -2*l - 1. Calculate the highest common factor of l and b. 2 Suppose 78*w - 39742 - 176474 = 0. Calculate the greatest common factor of 44 and w. 44 Let v be 54*(1 + 8)/3. Suppose -6 = -4*o + v. Let r be 8 + -1*1/(4/8). Calculate the greatest common divisor of o and r. 6 Suppose 5*f - 64 + 659 = 5*j, 0 = -2*j - 2*f + 230. What is the greatest common factor of j and 143? 13 Let r(n) = 8*n - 12. Let z be r(8). Let x = -3132 + 3145. Calculate the highest common divisor of x and z. 13 Let z = 169 + -44. Calculate the highest common divisor of z and 25. 25 Let q = 62 + -10. Let s(v) = 622*v + 11200. Let x be s(-18). Calculate the greatest common divisor of x and q. 4 Let x be (90/(-27))/(4/(-138)). Suppose 6*b = 137 + x. Calculate the highest common factor of b and 14. 14 Let a(i) = -i**3 - 11*i**2 + 11*i - 10. Let t be a(-12). Suppose -t*k - k + 216 = 0. Calculate the highest common divisor of k and 9. 9 Let l(m) = m + 15. Let n be l(-12). Suppose -n*f = -10 - 2. Suppose f*z - 3*z - 26 = 0. What is the greatest common divisor of z and 78? 26 Suppose -2*n - n + 30 = 0. Let m(t) = t**2 + 3*t - 13. Let r be (-1)/(3/27)*(-1)/3. Let c be m(r). What is the greatest common divisor of c and n? 5 Suppose z - 10 = 31. Suppose 3*h = 113 - z. What is the greatest common factor of 48 and h? 24 Suppose 138*d - 156*d = -324. What is the greatest common factor of 6 and d? 6 Let r(w) = 5*w + 25. Let u(v) = -v - 5. Let y(p) = -2*r(p) - 11*u(p). Let t be y(0). Suppose 13 + 157 = t*k. Calculate the highest common factor of k and 85. 17 Let c = 408 + -397. What is the highest common divisor of c and 77? 11 Let l = -41 - -26. Let h be 3/(15/2) - 159/l. Calculate the highest common divisor of 99 and h. 11 Let l(r) = -2*r**2 - 2*r + 145. Let o be l(0). What is the highest common factor of o and 116? 29 Let x(k) = 7*k**3 - 10*k**2 + k + 8. Let d be x(5). What is the highest common divisor of d and 44? 22 Suppose 5*i + 50 = 155. Calculate the highest common divisor of 28 and i. 7 Let s(a) = 583*a**2 + a - 1. Let u be s(1). Calculate the highest common factor of u and 33. 11 Suppose 5*u + 6 = 16. Suppose 5*b - 9 + 29 = 0, -12 = u*g + 5*b. Let q(j) = 4*j**2 - 2*j - 1. Let o be q(g). Calculate the highest common divisor of o and 5. 5 Suppose 3*i - 5*l = 135, 5*l - 10*l = 3*i - 105. What is the greatest common factor of 160 and i? 40 Let o be (-19)/(-133) + (-194)/(-14). Calculate the highest common divisor of 70 and o. 14 Suppose 3*u + 0*b + 3*b = 108, 0 = 2*u - 4*b - 66. Suppose -175 = -u*q + 34*q. Calculate the greatest common factor of q and 25. 25 Suppose -2*m - 6 = 3*a + 23, a + 5*m + 27 = 0. Let d = a - -22. Let j(s) = -74*s**3 - s. Let p be j(-1). What is the greatest common divisor of d and p? 15 Suppose -14*i + 28*i - 2828 = 0. Calculate the highest common factor of i and 2. 2 Suppose 6264 + 3456 = 10*g. What is the highest common factor of g and 36? 36 Let n be (12 - 4) + 1 - 4. Let h be (-1134)/(-4) + n/10. Suppose 5*q - h = 276. What is the greatest common divisor of 16 and q? 16 Suppose 21*s - 286 = 10*s. Suppose 295 = -2*k + 867. Calculate the highest common factor of k and s. 26 Suppose -775 = -7*l - 24*l. What is the greatest common factor of l and 675? 25 Let x be 321/15 + (-2)/5. Suppose 122 = 15*u + 77. Calculate the greatest common divisor of u and x. 3 Let j(o) = 8*o - 136. Let r be j(26). Calculate the highest common divisor of 198 and r. 18 Suppose -16 = -o - 3*o. Let f = 0 + o. Let a(x) = x**3 + 7*x**2 + 8*x + 6. Let h be a(-5). What is the highest common factor of h and f? 4 Suppose -30 = 3*o + 3*m, -2*o + 5*m = 2*m. Let r be (-2006)/(-22) + o/33. Calculate the greatest common factor of r and 13. 13 Let i(r) = 2318*r - 304. Let z be i(2). Calculate the greatest common divisor of z and 12. 12 Suppose -4*s + 26 = -10. Let v(n) = -21*n + 36. Let x be v(-5). Let g = -140 + x. What is the greatest common divisor of g and s? 1 Suppose 0 = -g - f + 129, 3*f = 5*g + 5*f - 642. Calculate the highest common factor of g and 16. 16 Let j(d) = 2*d**2 - 23*d - 270. Let i be j(-9). What is the highest common factor of i and 165? 33 Let f(b) = 4*b**3 + 6 + 9*b + b**3 - 4*b**3 - 6*b**2. Let c be f(5). What is the highest common factor of 143 and c? 13 Suppose -s + 3 = -4*j, 3*s + j = 6*s - 9. Suppose -s*m + 426 = -69. Calculate the highest common factor of m and 33. 33 Let a(s) = 12*s**3 - s**2 - 10*s + 19. Let z be a(3). Calculate the greatest common divisor of z and 19. 19 Let c(p) = 20*p**2 - 15*p - 113. Let o be c(-5). Calculate the highest common divisor of o and 132. 66 Let k = 1138 - 823. What is the highest common divisor of 360 and k? 45 Let i = 84 - 54. Let b be (48/i)/((-1)/5). Let y be (-118)/b + 3/12. What is the greatest common divisor of y and 15? 15 Suppose -119*x = -144*x + 25. Calculate the highest common divisor of x and 4. 1 Let q(w) = w**2 + w + 10. Let d be q(-6). Let l = d + -14. Calculate the greatest common divisor of l and 13. 13 Suppose -4*b + 997 = 5*q, 5*q + 628 - 1868 = -5*b. Calculate the greatest common factor of b and 9. 9 Let i = 15 + -11. Suppose 15 = -3*l - 2*l, i*q - 93 = -5*l. Let o = q + 15. What is the highest common factor of o and 14? 14 Suppose -8*a + 11*a - 63 = 0. Suppose -37 = -2*p - a. What is the highest common divisor of 16 and p? 8 Suppose 0*n = -4*n + 80. Let g be (-546)/(-3) + -4 + 2. Let k = g - -20. What is the highest common divisor of n and k? 20 Let c(s) = 6*s**2 + 2*s - 8. Suppose l + 3 = -v, -4*v + 0*l - 12 = 5*l. Let p be c(v). Calculate the greatest common factor of 5 and p. 5 Let u be 23*12/12 - 8. What is the greatest common divisor of u and 470? 5 Suppose -3*h + 3 = 39. Let w be (-7)/42 - 158/h. Calculate the greatest common factor of w and 117. 13 Suppose 3*q - 2*q - 31 = 0. Let x = -10 + q. Suppose -7*p = -114 + 16. What is the highest common divisor of x and p? 7 Let f be (32/(-80))/((-2)/20). Suppose -v = -f, -3*t - 3*v = -0*t - 18. Let b be t*39*1/6. Calculate the highest common divisor of b and 143. 13 Suppose n + 5*x - 30 = 0, -5*n + x - 4*x +
{ "pile_set_name": "DM Mathematics" }
mainder when 261 is divided by 80. 21 What is the remainder when 182 is divided by 96? 86 Calculate the remainder when 18 is divided by 18. 0 What is the remainder when 64 is divided by 18? 10 Calculate the remainder when 65 is divided by 3. 2 What is the remainder when 56 is divided by 9? 2 Calculate the remainder when 567 is divided by 6. 3 What is the remainder when 524 is divided by 47? 7 What is the remainder when 521 is divided by 244? 33 Calculate the remainder when 194 is divided by 7. 5 Calculate the remainder when 1176 is divided by 172. 144 Calculate the remainder when 592 is divided by 129. 76 Calculate the remainder when 358 is divided by 75. 58 Calculate the remainder when 684 is divided by 43. 39 What is the remainder when 2223 is divided by 26? 13 Calculate the remainder when 192 is divided by 111. 81 Calculate the remainder when 38 is divided by 13. 12 What is the remainder when 122 is divided by 48? 26 What is the remainder when 134 is divided by 96? 38 What is the remainder when 23 is divided by 2? 1 Calculate the remainder when 716 is divided by 8. 4 What is the remainder when 61 is divided by 7? 5 Calculate the remainder when 119 is divided by 4. 3 What is the remainder when 702 is divided by 8? 6 What is the remainder when 436 is divided by 22? 18 What is the remainder when 935 is divided by 78? 77 What is the remainder when 442 is divided by 14? 8 Calculate the remainder when 142 is divided by 102. 40 Calculate the remainder when 298 is divided by 98. 4 What is the remainder when 979 is divided by 175? 104 Calculate the remainder when 1679 is divided by 11. 7 What is the remainder when 950 is divided by 338? 274 What is the remainder when 1338 is divided by 96? 90 What is the remainder when 44 is divided by 22? 0 What is the remainder when 230 is divided by 34? 26 Calculate the remainder when 217 is divided by 10. 7 What is the remainder when 328 is divided by 33? 31 Calculate the remainder when 222 is divided by 25. 22 Calculate the remainder when 2559 is divided by 64. 63 Calculate the remainder when 2725 is divided by 70. 65 What is the remainder when 121 is divided by 5? 1 Calculate the remainder when 2625 is divided by 29. 15 Calculate the remainder when 217 is divided by 22. 19 Calculate the remainder when 346 is divided by 169. 8 Calculate the remainder when 69 is divided by 25. 19 What is the remainder when 656 is divided by 318? 20 What is the remainder when 688 is divided by 76? 4 What is the remainder when 187 is divided by 47? 46 What is the remainder when 1108 is divided by 336? 100 What is the remainder when 316 is divided by 192? 124 What is the remainder when 361 is divided by 28? 25 What is the remainder when 142 is divided by 26? 12 What is the remainder when 76 is divided by 12? 4 Calculate the remainder when 58 is divided by 51. 7 What is the remainder when 833 is divided by 19? 16 What is the remainder when 69 is divided by 38? 31 What is the remainder when 1151 is divided by 561? 29 What is the remainder when 259 is divided by 19? 12 Calculate the remainder when 663 is divided by 95. 93 What is the remainder when 570 is divided by 275? 20 Calculate the remainder when 239 is divided by 49. 43 Calculate the remainder when 802 is divided by 13. 9 Calculate the remainder when 1005 is divided by 18. 15 What is the remainder when 980 is divided by 9? 8 Calculate the remainder when 87 is divided by 8. 7 Calculate the remainder when 135 is divided by 14. 9 Calculate the remainder when 590 is divided by 122. 102 What is the remainder when 433 is divided by 14? 13 Calculate the remainder when 291 is divided by 6. 3 What is the remainder when 1897 is divided by 53? 42 What is the remainder when 601 is divided by 283? 35 What is the remainder when 165 is divided by 47? 24 What is the remainder when 252 is divided by 35? 7 What is the remainder when 1561 is divided by 92? 89 What is the remainder when 1523 is divided by 27? 11 What is the remainder when 2359 is divided by 24? 7 What is the remainder when 397 is divided by 93? 25 What is the remainder when 4676 is divided by 40? 36 What is the remainder when 1065 is divided by 26? 25 Calculate the remainder when 102 is divided by 8. 6 What is the remainder when 102 is divided by 21? 18 What is the remainder when 1923 is divided by 108? 87 Calculate the remainder when 304 is divided by 22. 18 What is the remainder when 207 is divided by 21? 18 Calculate the remainder when 262 is divided by 91. 80 Calculate the remainder when 6507 is divided by 2166. 9 Calculate the remainder when 4 is divided by 1. 0 Calculate the remainder when 170 is divided by 77. 16 Calculate the remainder when 1824 is divided by 482. 378 Calculate the remainder when 759 is divided by 7. 3 Calculate the remainder when 11532 is divided by 18. 12 What is the remainder when 42 is divided by 11? 9 Calculate the remainder when 6034 is divided by 3. 1 What is the remainder when 188 is divided by 98? 90 Calculate the remainder when 140 is divided by 47. 46 Calculate the remainder when 246 is divided by 63. 57 What is the remainder when 370 is divided by 191? 179 Calculate the remainder when 1567 is divided by 224. 223 Calculate the remainder when 69 is divided by 22. 3 What is the remainder when 79 is divided by 37? 5 Calculate the remainder when 1397 is divided by 1371. 26 Calculate the remainder when 333 is divided by 48. 45 What is the remainder when 207 is divided by 106? 101 Calculate the remainder when 94 is divided by 24. 22 What is the remainder when 5213 is divided by 149? 147 What is the remainder when 996 is divided by 13? 8 What is the remainder when 2701 is divided by 7? 6 Calculate the remainder when 243 is divided by 82. 79 Calculate the remainder when 158 is divided by 40. 38 Calculate the remainder when 52 is divided by 3. 1 Calculate the remainder when 5542 is divided by 42. 40 Calculate the remainder when 3376 is divided by 13. 9 What is the remainder when 286 is divided by 27? 16 What is the remainder when 1478 is divided by 91? 22 Calculate the remainder when 345 is divided by 127. 91 What is the remainder when 242 is divided by 117? 8 Calculate the remainder when 21056 is divided by 52. 48 Calculate the remainder when 208 is divided by 151. 57 What is the remainder when 1391 is divided by 175? 166 What is the remainder when 2658 is divided by 19? 17 Calculate the remainder when 138 is divided by 63. 12 Calculate the remainder when 56 is divided by 42. 14 Calculate the remainder when 115 is divided by 11. 5 Calculate the remainder when 119 is divided by 11. 9 What is the remainder when 71 is divided by 16? 7 Calculate the remainder when 1130 is divided by 62. 14 What is the remainder when 1425 is divided by 53? 47 What is the remainder when 154 is divided by 83? 71 Calculate the remainder when 5091 is divided by 56. 51 What is the remainder when 2100 is divided by 110? 10 What is the remainder when 127 is divided by 44? 39 What is the remainder when 97 is divided by 24? 1 Calculate the remainder when 1053 is divided by 196. 73 Calculate the remainder when 21886 is divided by 18. 16 Calculate the remainder when 227 is divided by 214. 13 What is the remainder when 1871 is divided by 133? 9 Calculate the remainder when 289 is divided by 139. 11 Calculate the remainder when 632 is divided by 55. 27 What is the remainder when 287 is divided by 58? 55 Calculate the remainder when 13619 is divided by 19. 15 What is the remainder when 84 is divided by 31? 22 What is the remainder when 547 is divided by 177? 16 Calculate the remainder when 777 is divided by 13. 10 Calculate the remainder when 369 is divided by 37. 36 Calculate the remainder when 151 is divided by 76. 75 What is the remainder when 22 is divided by 5? 2 Calculate the remainder when 1027 is divided by 78. 13 What is the remainder when 4792 is divided by 266? 4 Calculate the remainder when 477 is divided by 219. 39 What is the remainder when 231 is divided by 49? 35 What is the remainder when 3475 is divided by 315? 10 Calculate the remainder when 121 is divided by 62. 59 What is the remainder when 153 is divided by 28? 13 What is the remainder when 750 is divided by 109? 96 Calculate the remainder when 69 is divided by
{ "pile_set_name": "DM Mathematics" }
3 + 10/(-30) + (-7 - -20232)? 5, 809 Let s = 628 - 628. Suppose -2*v - v + 4206 = s. What are the prime factors of v? 2, 701 Let u(s) = s**2 - 13. Let d be u(-3). List the prime factors of (84/(-15))/(d/230). 2, 7, 23 Suppose -5*w = -2 + 2. Suppose -4*s - 20 = w, 4*s = -0*m + 2*m - 76. List the prime factors of m + 0/5 + -4. 2, 3 Suppose -9*z + 17 = -10. Suppose -k - 5*d + 17 + 16 = 0, -z*d = k - 25. Suppose 9*a - 77 = k. List the prime factors of a. 2, 5 Let p = 21054 + 4538. What are the prime factors of p? 2, 7, 457 Suppose -w + 0*c + 38 = 3*c, 0 = 4*w - 2*c - 208. Let j be (-9)/(-15) - (-220)/w. Suppose -7*d + j*d = -170. What are the prime factors of d? 5, 17 Suppose 4*m + 1035 - 15623 = 2*r, r - 18221 = -5*m. Suppose 0*h - m = -2*g + 3*h, 7263 = 4*g + 3*h. List the prime factors of g. 2, 3, 101 Let n = -65 + 70. Let b = -4 + n. What are the prime factors of ((-147)/9 - b)/(2/(-18))? 2, 3, 13 List the prime factors of (-2265)/(-1) - 16/6*(-18)/(-24). 31, 73 Let b(a) = -57*a - 21. Let o be b(14). Let i be ((96/(-14))/(-8))/((-1)/o). Suppose 4*d - 162 - i = -4*c, 4*d + 856 = 4*c. What are the prime factors of c? 5, 43 Let k(m) = -m**3 + 8*m**2 - 3*m - 1. Let w be k(3). Let x = -20 + w. Suppose -18*p = -x*p - 138. What are the prime factors of p? 2, 23 Let k(s) = -s - 23. Let n be k(21). Let r be (n/(-11))/(-1 + 2). Suppose -r*h = -11*h + 581. List the prime factors of h. 83 Let m = 22971 - 10534. List the prime factors of m. 12437 Let b(j) = 3*j - 15. Let o(u) = u**3 + 8*u**2 + u + 13. Let l be o(-8). Let v be b(l). Suppose 2*p - 76 = -v*p. What are the prime factors of p? 2, 19 Suppose -5*q - 383 = -2*y, -2*q + 144 = 2*y - 204. Suppose 995 = 5*j - 3*l, -y = -4*j - l + 600. What are the prime factors of j? 2, 7 Suppose -2*n - 73504 = -a, -4*a + 2*n = 81299 - 375261. What are the prime factors of a? 2, 7, 29, 181 Let o(g) = -2*g**2 + g + 2. Let v be o(0). Let p be ((1 + -445)/v)/(123/(-164)). Suppose -3*h + 221 = 2*w, 4*h + 2*w = -2*w + p. List the prime factors of h. 73 Let i = 113 + -120. Let d be (-153)/63 + (-3)/i. What are the prime factors of (7 - 8)*518/d? 7, 37 Suppose -23*f + 2847 + 3846 = 0. What are the prime factors of f? 3, 97 Let s = 1110 + -750. Suppose 9*t - t - s = 0. Suppose 0 = -3*c + 8*p - 4*p + 150, -3*p = -c + t. What are the prime factors of c? 2, 3 Suppose 3*w - 11 = 649. Suppose 3*h - 5*m = 88, 5*h + 54*m = 49*m + 120. Suppose -31*f = -h*f - w. What are the prime factors of f? 2, 11 Suppose z + 4028 = 6*z - 2*a, 3236 = 4*z - 5*a. Let f = z + 87. What are the prime factors of f? 3, 11 Let q = 447 + 2266. Suppose 5*c - q = -3*n, 0 = 2*n + 4*c - 1173 - 639. List the prime factors of n. 2, 7 Let a(j) = -33*j - 6. Let f be a(-2). Suppose -10*u + f = 200. Let x(m) = -17*m + 4. What are the prime factors of x(u)? 2, 11 Let y(f) = 2*f**2 + 29*f - 15. Let o be y(-15). Let l be -7 + 9 - (o - 1*-515). What are the prime factors of (l/36)/((-1)/4)? 3, 19 Suppose 2*c = 4*c - 10502. What are the prime factors of c? 59, 89 Let f(o) = o**2 + 15*o - 16. Let v be f(-16). Suppose 12*b = -2*q + 7*b + 883, -4*q + b + 1733 = v. List the prime factors of q. 2, 7, 31 Let c be 5/((-15)/(-42)) - -4. Let l = 7 - 11. What are the prime factors of 2/l - (-1071)/c? 59 Let n = -26447 - -28290. List the prime factors of n. 19, 97 Suppose f + 1 - 3 = 0. Let n(l) = -95*l + 60. Let k be n(-10). Suppose -3*u - f*u = -k. List the prime factors of u. 2, 101 Let s(x) = x**3 + 19*x**2 + 33*x - 20. Let t be s(-17). List the prime factors of t/((-6)/992) - 7. 3, 163 Suppose -292*p - 766723 = -3575763. List the prime factors of p. 2, 5, 13, 37 Suppose -2*b = 103*z - 106*z + 26636, -b = -2. List the prime factors of z. 2, 3, 5, 37 Let i(d) = d**3 - 36*d**2 + 63*d - 586. List the prime factors of i(38). 2, 587 Let c(w) = 6*w**3 - 18*w**2 + 208*w + 9. What are the prime factors of c(13)? 12853 Let r be (-2)/4 - 1615/(-10). Suppose 0 = o + r - 706. Suppose -11*v + o = -225. What are the prime factors of v? 2, 5, 7 Suppose 2*x - 371 = 2349. Let s(f) = f**2 + 47*f + 175. Let g be s(-47). Suppose 15*n - x = -g. List the prime factors of n. 79 Let f(z) = z + 6. Let t be f(-5). Let b(m) be the second derivative of 7*m**4/2 - m**3/2 + m**2 - 117*m. List the prime factors of b(t). 41 Let h(u) = -341*u + 36389. List the prime factors of h(0). 36389 Let c(m) = 9*m**3 - m**2 + 2*m - 10. Let g = 145 - 142. List the prime factors of c(g). 2, 5, 23 List the prime factors of (245/25 - 9)/(197436/98715 + -2). 2, 6581 Suppose b + 106*t = 111*t + 31499, -3*b + 94611 = 4*t. What are the prime factors of b? 41, 769 Let i = -31 - -44. Suppose 5*s + i - 38 = 0. Suppose 3*z + v = 154, s*z + 0*v + v - 258 = 0. What are the prime factors of z? 2, 13 Suppose -83*r + 76*r = -261905. What are the prime factors of r? 5, 7, 1069 What are the prime factors of ((-208)/6)/((-12)/180)? 2, 5, 13 Let m = -11 - -17. Let y(d) = -2*d**3 + d**2 - d + 3. Let c(f) = -5*f**3 - 5*f**2 - 10*f + 17. Let v(q) = -c(q) + 3*y(q). List the prime factors of v(m). 2, 53 What are the prime factors of 4203 - (44/99)/((-8)/(-180))? 7, 599 Let g(k) = k**2 + 12*k + 25. Let f be 3/18 + (-33)/(-18). Suppose 11 = -3*q + f*q. List the prime factors of g(q). 2, 7 Suppose 0 = -164*k + 4862107 + 1039597. What are the prime factors of k? 2, 19, 947 Suppose -3*t - 83 = -3*r + 130, -4*t + 3*r = 286. Let i = t - -944. What are the prime factors of i? 13, 67 Suppose v + 54 = 28*v. Suppose v*u - 2206 = -z, -5*z - 1081 = -3*u + 2*u. What are the prime factors of u? 3, 367 Let b(d) = -2*d**2 + 3*d - 3. Let z be b(1). Let i be z/(((-6)/75)/((-8)/(-10))). Suppose -5*a = -5*v + 770, 6*a - 2*a + i = 0. List the prime factors of v. 149 Let o be 8/(-2 - -6) + -3514. Let d(f) = 3*f + 6. Let k be d(-6). List the prime factors of o/k + (-4)/6 + -3. 17 Let f(d) = d + 5. Let r be f(-4). Let g be ((-29)/(-87))/(((-2)/r)/654). Let p = -19 - g. List the prime factors of p. 2, 3, 5 Suppose -7*d - 14*d = -3864. Suppose 0 = 5*m - 4*g - 1416, m - g - 259 = 25. Let w = m - d. List the prime factors of w. 2, 3 Let l(y) = y**3 + 32*y**2 + 55*y + 62. List the prime factors of l(-15). 2, 1531 Let n be 14/(-28)*22/(-1). Let x be n/5 - (-2)/(-10). Suppose x*b + 170 = 12*b. List the prime factors of b. 17 Suppose -2040718 = -75*d - 184018. List the prime factors of d. 2, 3, 2063 Let j(k) = -52*k + 31. Let a be j(-12). Let i = -357 + a. Suppose -3*v = b - 7*v - i, -5*b - v = -1469. List the prime factors of b. 2, 3, 7 Suppose -209 = 4*j - 165. Let x(h) = 5*h + 73. What are the prime factors of x(j)? 2, 3 What are the prime factors of (42358/6)/((-17)/(-51))*(2 + -1)? 21179 Let g be (10/(-1) + 2)/(-2). Suppose -4*p - 3*b = b - 20, -g*b = 12. Suppose -i + p = -17. What are the prime factors of i? 5 Suppose 8*g = -377 - 855. Let b(d) = -4*d**2 + 8*d + 1. Let o be b(7). Let u = o - g. List the prime factors of u. 3, 5 Suppose 4110274 = 13*y + 124*y. List the prime factors of y. 2, 7, 2143 Let i(m) = m**3 + 4*m**2 + 20*m - 24. Let c be i(-7). Let h = c - -560. List the prime factors of h. 3, 83 Let v(l) = 418*l**2 + 3*l - 4. Let q be v(1). Let p = q + -82. What are the prime factors of p? 5, 67 Let c(z) = -20*z**3 + 4*z**2 - 15*z + 1. Let q be c(4). Let t = 2330 + q. List the prime factors of t. 5, 211 Let m(g) = g**3 - 92*g**2 + 104*g - 634. List the prime factors of m(96). 2, 7, 3301 Let f be (-714)/56*(-2 - 6/9). Let l = f - -1270. Suppose 12 + l = 7*t. What are the prime factors of t? 2, 47 Suppose -12*j + 13*j + 5*s - 21745 = 0, 3*s - 15 = 0. What are the prime factors of j? 2, 3, 5, 181 Suppose 5*n + 2*m - 39621 = 0, -763*n = -765*n - 5*m + 15840. What are the prime factors of n? 5, 317 Suppose -4*u - 50 + 6 = -2*b, 0 = 4*b - 2*u - 76. Suppose -15*a = -b*a + 663. Suppose -a = -2*s - 65. List the prime factors of s. 2, 3, 13 Let i be -1 - -1 - 108/(4 + 0). Let b(q) = -q**3 - 27*q**2 - 34*q - 82. List the prime factors of b(i). 2, 11, 19 Let l = 43 + 0. Let d = 33 - l. List the prime factors of (-4)/d*43*(1 - -4). 2, 43 List the prime factors of ((-4698)/3915)/(1 - 5751/5750). 2, 3, 5, 23 Let j be (-1287)/6*(-2 - (-50)/15). Let t = 479 + j. What are the prime factors of t? 193 Suppose 79671 = 3*x + 2*t, -2*x + 70894 = 4*t + 17788. What are the prime factor
{ "pile_set_name": "DM Mathematics" }
4:27 AM? 309 What is 691 minutes after 9:44 AM? 9:15 PM What is 625 minutes after 7:32 PM? 5:57 AM How many minutes are there between 1:39 PM and 9:29 PM? 470 How many minutes are there between 9:00 PM and 8:43 AM? 703 How many minutes are there between 12:19 PM and 10:10 PM? 591 How many minutes are there between 11:18 PM and 9:49 AM? 631 What is 679 minutes before 9:45 AM? 10:26 PM How many minutes are there between 3:16 PM and 1:55 AM? 639 What is 552 minutes before 3:45 AM? 6:33 PM What is 706 minutes before 1:52 PM? 2:06 AM How many minutes are there between 11:53 AM and 8:14 PM? 501 How many minutes are there between 8:21 PM and 8:56 PM? 35 How many minutes are there between 7:37 AM and 1:21 PM? 344 How many minutes are there between 3:53 AM and 5:40 AM? 107 How many minutes are there between 5:24 AM and 4:55 PM? 691 What is 359 minutes before 6:49 AM? 12:50 AM How many minutes are there between 4:08 AM and 12:10 PM? 482 What is 663 minutes before 5:21 PM? 6:18 AM How many minutes are there between 4:31 PM and 6:26 PM? 115 What is 553 minutes after 11:19 AM? 8:32 PM How many minutes are there between 1:31 PM and 10:50 PM? 559 What is 458 minutes after 2:01 PM? 9:39 PM What is 159 minutes after 10:12 PM? 12:51 AM What is 584 minutes after 1:09 PM? 10:53 PM How many minutes are there between 9:47 PM and 6:24 AM? 517 What is 159 minutes before 2:54 PM? 12:15 PM What is 367 minutes after 3:05 PM? 9:12 PM How many minutes are there between 9:40 AM and 7:50 PM? 610 What is 110 minutes before 1:26 PM? 11:36 AM What is 360 minutes before 8:18 AM? 2:18 AM How many minutes are there between 10:04 AM and 12:05 PM? 121 How many minutes are there between 10:27 AM and 3:23 PM? 296 What is 14 minutes after 12:48 AM? 1:02 AM How many minutes are there between 12:08 PM and 7:04 PM? 416 What is 386 minutes before 3:09 AM? 8:43 PM What is 354 minutes after 11:51 PM? 5:45 AM What is 101 minutes after 4:29 PM? 6:10 PM What is 54 minutes after 5:34 PM? 6:28 PM What is 454 minutes before 9:03 AM? 1:29 AM How many minutes are there between 3:53 AM and 3:02 PM? 669 How many minutes are there between 9:23 AM and 7:11 PM? 588 How many minutes are there between 9:00 PM and 4:04 AM? 424 What is 572 minutes after 4:03 PM? 1:35 AM What is 135 minutes before 9:16 PM? 7:01 PM How many minutes are there between 5:43 AM and 10:43 AM? 300 How many minutes are there between 3:26 PM and 3:21 AM? 715 What is 279 minutes before 5:40 PM? 1:01 PM What is 595 minutes after 9:40 AM? 7:35 PM What is 660 minutes before 2:39 AM? 3:39 PM How many minutes are there between 10:40 AM and 10:59 AM? 19 How many minutes are there between 6:05 AM and 3:53 PM? 588 How many minutes are there between 8:50 AM and 6:38 PM? 588 How many minutes are there between 3:43 AM and 3:42 PM? 719 How many minutes are there between 12:04 PM and 6:35 PM? 391 How many minutes are there between 9:56 PM and 7:41 AM? 585 What is 165 minutes after 2:41 PM? 5:26 PM What is 453 minutes before 4:48 AM? 9:15 PM What is 244 minutes before 11:59 PM? 7:55 PM How many minutes are there between 10:10 AM and 6:35 PM? 505 What is 466 minutes before 1:40 PM? 5:54 AM What is 704 minutes after 11:40 PM? 11:24 AM How many minutes are there between 3:32 AM and 6:37 AM? 185 How many minutes are there between 7:37 PM and 2:21 AM? 404 How many minutes are there between 5:01 PM and 5:00 AM? 719 How many minutes are there between 8:38 PM and 2:05 AM? 327 What is 324 minutes before 12:14 AM? 6:50 PM How many minutes are there between 10:25 PM and 3:16 AM? 291 What is 466 minutes before 10:14 AM? 2:28 AM How many minutes are there between 3:50 PM and 4:32 PM? 42 How many minutes are there between 6:06 PM and 12:18 AM? 372 What is 408 minutes before 4:05 AM? 9:17 PM How many minutes are there between 4:19 PM and 11:58 PM? 459 What is 715 minutes after 4:55 AM? 4:50 PM How many minutes are there between 6:47 AM and 3:56 PM? 549 How many minutes are there between 11:16 PM and 4:16 AM? 300 How many minutes are there between 11:35 AM and 5:12 PM? 337 What is 385 minutes before 5:04 AM? 10:39 PM What is 197 minutes before 5:39 PM? 2:22 PM How many minutes are there between 4:29 PM and 8:25 PM? 236 How many minutes are there between 9:14 PM and 5:14 AM? 480 What is 480 minutes before 1:11 PM? 5:11 AM How many minutes are there between 10:26 PM and 2:21 AM? 235 What is 624 minutes after 12:32 PM? 10:56 PM What is 176 minutes after 8:36 PM? 11:32 PM How many minutes are there between 9:17 PM and 11:00 PM? 103 What is 630 minutes after 3:57 PM? 2:27 AM How many minutes are there between 5:51 AM and 3:38 PM? 587 How many minutes are there between 6:04 PM and 5:35 AM? 691 How many minutes are there between 8:57 AM and 2:28 PM? 331 How many minutes are there between 5:46 PM and 4:13 AM? 627 What is 394 minutes after 4:07 AM? 10:41 AM What is 204 minutes before 12:57 AM? 9:33 PM What is 156 minutes after 9:59 AM? 12:35 PM How many minutes are there between 5:19 PM and 11:14 PM? 355 What is 693 minutes before 5:03 PM? 5:30 AM How many minutes are there between 10:44 AM and 10:55 AM? 11 What is 63 minutes after 12:03 PM? 1:06 PM How many minutes are there between 3:11 PM and 9:25 PM? 374 How many minutes are there between 9:01 AM and 10:30 AM? 89 What is 400 minutes before 4:13 AM? 9:33 PM How many minutes are there between 8:09 PM and 1:13 AM? 304 How many minutes are there between 8:17 PM and 2:24 AM? 367 How many minutes are there between 5:57 AM and 2:47 PM? 530 How many minutes are there between 3:54 PM and 12:31 AM? 517 How many minutes are there between 3:45 PM and 3:59 PM? 14 What is 388 minutes before 1:28 PM? 7:00 AM What is 679 minutes after 9:12 AM? 8:31 PM How many minutes are there between 9:10 PM and 3:10 AM? 360 What is 627 minutes after 3:43 PM? 2:10 AM How many minutes are there between 5:21 PM and 6:58 PM? 97 How many minutes are there between 2:43 PM and 12:52 AM? 609 How many minutes are there between 2:07 PM and 1:36 AM? 689 What is 254 minutes after 6:34 AM? 10:48 AM How many minutes are there between 8:49 AM and 8:07 PM? 678 What is 250 minutes before 7:45 PM? 3:35 PM How many minutes are there between 9:21 AM and 4:33 PM? 432 How many minutes are there between 7:59 AM and 6:16 PM? 617 How many minutes are there between 6:30 AM and 9:16 AM? 166 What is 325 minutes before 3:48 PM? 10:23 AM How many minutes are there between 11:10 PM and 1:05 AM? 115 What is 424 minutes before 6:26 AM? 11:22 PM How many minutes are there between 1:48 PM and 5:03 PM? 195 How many minutes are there between 10:18 AM and 3:10 PM? 292 How many minutes are there between 1:18 AM and 1:02 PM? 704 How many minutes are there between 7:45 AM and 8:52 AM? 67 What is 655 minutes after 8:26 PM? 7:21 AM How many minutes are there between 6:55 PM and 4:28 AM? 573 What is 139 minutes before 1:48 PM? 11:29 AM What is 462 minutes after 7:47 AM? 3:29 PM What is 39 minutes after 5:40 PM? 6:19 PM What is 49 minutes after 1:07 AM? 1:56 AM What is 482 minutes after 6:48 AM? 2:50 PM How many minutes are there between 7:25 PM and 8:09 PM? 44 How many minutes are there between 8:36 AM and 9:03 AM? 27 How many minutes are there between 3:09 AM and 3:18 AM? 9 How many minutes are there between 8:10 AM and 2:52 PM? 402 What is 472 minutes before 12:50 PM? 4:58 AM What is 665 minutes before 10:39 PM? 11:34 AM What is 283 minutes before 9:22 AM? 4:39 AM How many minutes are there between 11:21 AM and 10:50 PM? 689 How many minutes are there between 3:29 PM and 5:37 PM? 128 What is 231 minutes before 3:38 AM? 11:47 PM What is 56 minutes after 7:07 AM? 8:03 AM How many minutes are there between 11:17 PM and 2:08 AM? 171 How many minutes are there between 3:07 PM and 7:05 PM? 238 How many minutes are there between 11:29 PM and 4:52 AM? 323 How many minutes are there between 1:26 PM and 9:38 PM? 492 How many minutes are there between 6:01 PM and 7:43 PM? 102 What is 690 minutes before 3:44 AM? 4:14 PM How many minutes are there between 12:51 PM and 7:25 PM? 394 What is 184 minutes after 2:57 AM? 6:01 AM What is 35 minutes before 9:58 PM? 9:23 PM What is 387 minutes after 9:42 PM? 4:09 AM What is 89 minutes before 10:48 AM? 9:19 AM How many minutes are there between 12:54 AM an
{ "pile_set_name": "DM Mathematics" }
lify ((c**(-2/9)*c*c*c*c**(-5))/(c**1*(c/c**(-3))/c))/((c/(c*c*c**(-4))*c**(-2))/(c**(-1/3)*c)**13) assuming c is positive. c**(13/9) Simplify ((g/(g/g**(-1)*g))**(-7/4)*(g/(g*g**(-1)/g)*g)**(2/5))/(g**(-2)/g**(-2))**14 assuming g is positive. g**(47/10) Simplify ((a/a**(-4))/(a*a**(1/9)))**(2/27)/(a*a/(a**(-2/7)*a*a)*a**(-1/4))**(-10) assuming a is positive. a**(2195/3402) Simplify (l/l**1*l)**(3/2)/(l**(-1)/l)**(-50)*((l**(2/9))**(5/16))**(-7) assuming l is positive. l**(-7127/72) Simplify (((h*h*h*h**(3/5))/(h/(h/h**4)))/((h**(1/5)*h)/(h*h**(-4))))/((h**1)**(4/5))**35 assuming h is positive. h**(-163/5) Simplify ((k**(-1/4)*k)**(-35)*(k/(k/k**3))**(-18))**(3/14) assuming k is positive. k**(-963/56) Simplify ((((t**(2/5)/t)/t)/t)/t)**(5/2)/((t*t/t**(-2/9))/t**(1/4))*(t**(5/2)*t**3)/(t**(-1)*(t/t**(1/6))/t) assuming t is positive. t**(-155/36) Simplify (l**(-7)/l**(-1/6))/(l/((l/l**(-2/3))/l)*(l*l*l**(-2/11)/l)/l*l*l)*(l**(-2)*l)/l**(-3)*(l*(l**(-2/3)*l)/l*l)**(-1/6) assuming l is positive. l**(-1427/198) Simplify ((r/(r*r**1))**18)**(-1/2)*(((r*(r**1/r*r)/r)/r)**(-44))**44 assuming r is positive. r**9 Simplify (((((z**1*z*z)/z)/z)/z**5*z*z**(1/10)*z*z/(z*z/(z*z**(-2/21)))*z)**(21/5))**(1/3) assuming z is positive. z**(-209/150) Simplify (w**(1/13)/w*w**(-2/5)/w)**(-3/16)*(w/(w/w**(2/5)))/w**(2/11)*(w**1)**(-2) assuming w is positive. w**(-15401/11440) Simplify ((m*(m/(m**(-1/13)*m*m*m))/m)/m)**(-40)*m**(-32)*(m/((m/(m/(m**(-15)*m)*m))/m))/m*m*m*m*m*m assuming m is positive. m**(1377/13) Simplify ((j**(-1))**17*(j/(j*j*j*j**6/j*j)*j)/j*j*j/j**(-2))/((j/(j/(j/j**(-2/9)*j)))**(-39)/(j**(-1/4))**(-1/24)) assuming j is positive. j**(6305/96) Simplify (((z/(z*z/z**3)*z)/z)/(z**(-2/11)/z*z*z))/((z*z/(z**(1/6)*z))/(((z*z**(1/5))/z)/z))*((z*z*z**(-2/3)*z)**(-11))**17 assuming z is positive. z**(-144139/330) Simplify ((l**1/l*l)/l)**(3/20)*(l*l*l*l**(-1)*l)/l*l**(1/13)*((l**(1/5)*l)/l**4)**(-20/7) assuming l is positive. l**(131/13) Simplify (x**(-2/33)/(x**(-23)*x))/((x/x**31)/x**2) assuming x is positive. x**(1780/33) Simplify ((r*r**2)/(r*r/(r/(r/((r*r**4/r)/r*r)))))/(r**(-4)/(r*r/(r**(2/13)*r*r)))*(r**(-4)/r**(-9))**(-2/29) assuming r is positive. r**(3205/377) Simplify (((y*y/(y*y**(-3)*y))/y)**(-3/17))**45*((y/(y*((y/((y**1*y)/y))/y)/y*y))/(y*y**(1/2)))/((y**(2/11)*y)/y**(-6)) assuming y is positive. y**(-8813/374) Simplify (n*n**(-2/9)*n*n)**(-48)/((n/(n*n*n**(-1/2))*n*n)/n)**(-16/9)*((n/n**(1/4)*n*n)**(-2/9))**(5/12) assuming n is positive. n**(-28663/216) Simplify (i**(-5)/(i*i/i**14*i)*(i/i**(-4/7))**(25/4))**(-16/9) assuming i is positive. i**(-1772/63) Simplify ((y*y/(y**(2/7)*y))/(y*y**(2/3)))**(-5/6)/((y**(-4)/y**4)/(y**1)**(2/25)) assuming y is positive. y**(13976/1575) Simplify ((l**(-4)*l*l**(-2/5))/(l/(l*(l**(2/11)/l)/l)*l**0/l))/((l*l**(-1)*l)**(16/5)/(l**(-1/7)/((l**(-5)*l*l)/l))) assuming l is positive. l**(-1371/385) Simplify ((a**(2/11))**(-2/33))**(-43)/((a*a*a/a**12)/a**9)**32 assuming a is positive. a**(209260/363) Simplify (((v/(v**13/v))/v)/v**(-4/9)*v**(2/27)*v*v**(2/9))**(-17) assuming v is positive. v**(4709/27) Simplify ((m**1/m)**(-2/33))**29/(m*m/(m**(1/7)/m)*m*(m*m**(-2/7))/m)**(2/11) assuming m is positive. m**(-50/77) Simplify (((t**(-4/3)/t**(1/3))**(-29/5))**(4/17))**50 assuming t is positive. t**(5800/51) Simplify ((b/(b**(3/7)/b*b))/(b*b*b/b**4))/(b**0/b*b)**28*((b/b**(4/9))/(b/(b*b**(2/5)/b)))/((b/(b**(-1)*b))/b)**(-11) assuming b is positive. b**(481/315) Simplify (p**(2/35)*p*p/(p/(p**(-11)/p*p)))**(-2/75)*(p*p*p**(1/2)*p)/(p*p*p**(1/6)*p)*p**8*p*p*p**6*p*p assuming p is positive. p**(48821/2625) Simplify ((a*a/(a/a**(-27))*a)/((a/(a/a**(24/5))*a)/a)*(a**(2/27))**(5/4))**(2/171) assuming a is positive. a**(-8021/23085) Simplify (((w/(w**(-11)*w))**47)**(-2/27))**34 assuming w is positive. w**(-35156/27) Simplify f**8*f**(-6)*(f*f**(-2/7))/f*f*f**9*((f*f**(1/2))**(4/27))**(2/185) assuming f is positive. f**(136558/11655) Simplify (((l*l**(-4)*l*l)/l)/(l*l**(-4)))**(-2/25)*(l**(-2/5))**(-2/123)/(l*l**0*l**7) assuming l is positive. l**(-24826/3075) Simplify (((c**(-3)*c)/c*c**(-1/7)/c)/((c/(c*c*((c/((c**(2/5)/c)/c*c))/c)/c))/c**6))/((c/(c*(c*c/(c*c**2)*c)/c))**29)**(-14/11) assuming c is positive. c**(15156/385) Simplify (((y**(6/5)*y**(-10))/(((y/y**(1/3)*y*y)/y*y)/y)**9)**(-3))**26 assuming y is positive. y**(9282/5) Simplify ((s*s**(-1))**20*(s*s**(1/3))**(-29))/(s**(-4)*s*s**(-5))**(-3/22) assuming s is positive. s**(-1312/33) Simplify ((d**2/d**(-2/39))/((d**10/d)/((d/((d*d/(d*d*d**2)*d*d)/d))/d)))**(-7) assuming d is positive. d**(1624/39) Simplify ((b*b/(b*b**(-5/3)/b))/b*b*b**7*b**(-6)*b/(b/(b*b**(-6)/b)))/((b*b*b**(-2/5))**5)**(-2/7) assuming b is positive. b**(20/21) Simplify ((((f**(1/2)/f)/f)/f)/(f/f**(-6)*f)*(f/(f**(-2/5)*f))**29)/(f**5/(f*f*f**(-2/19)/f*f)*(f*f**0)/f**(-6)) assuming f is positive. f**(-1711/190) Simplify y**(-2)*y**(-1/3)*(y**0)**16*(y*y**(-7)*y*y*y/(y*y**(-2)*y)*y)**(9/8) assuming y is positive. y**(-55/12) Simplify ((b**(-2/3))**(-1/23))**(1/15)*((b**(-1/2)/b)/((b/b**(-1)*b)/b))**(35/6) assuming b is positive. b**(-84517/4140) Simplify (((x/(x/x**(-1/3)))/x*x)/x**(-1/5))**(1/4)*((x/x**6)/(x/((x/x**0*x*x)/x)*x))/(x**0)**(-2/15) assuming x is positive. x**(-151/30) Simplify ((u**(2/5))**(-1/8))**22*(u**(-2)*u*u**(2/9))**47 assuming u is positive. u**(-3389/90) Simplify (a**(-4/7)*a*(a**(-2/5)*a*a)/a*a)/(a**(1/2)*a*a**0)*((a**(-2/3)/a*a)/a)**(-46)/((a**(-4/3)*a)/a*((a**(-2/9)/a)/a)/a) assuming a is positive. a**(51503/630) Simplify ((v/(v/(v**(-4/7)/v*v)*v))/(v*v*v*v/(((((v**(-11)/v)/v)/v)/v*v)/v))*v**(6/11)*v*v**(-3/5)*v)**44 assuming v is positive. v**(-28684/35) Simplify ((m/(m*m**28*m)*m**(-4/15))/((m*m**(-1/12))/m)**(2/3))**(3/5) assuming m is positive. m**(-2629/150) Simplify (f**(1/4)*f/(f**(1/4)*f)*(f/((f**6/f*f*f)/f*f))/(f/f**(-3)))/(f**(3/4)/f**(-4))**(3/8) assuming f is positive. f**(-377/32) Simplify ((z/(z*z/z**(-40)))/(z/z**8)*z**9*z/z**(-22/9))**(-1) assuming z is positive. z**(194/9) Simplify ((a*((a/a**(-1)*a)/a)/a*a**(-4)*(a/a**(-6))/(a/a**(-3)))**(8/3))**45 assuming a is positive. a**120 Simplify (((r/(r**(2/13)/r)*r)/r)/((r*(r/r**(-10))/r*r)/r)*(r**6*r)/r*r*r*r**(-13))**(-25) assuming r is positive. r**(4600/13) Simplify ((((f*f**(-11/4))/(f/f**7))/(f**1*f*f*f**(-10)/f))**8)**(16/3) assuming f is positive. f**(1568/3) Simplify ((l/(l*l/(l/l**0*l))*l)**(-7)/(l/(l*l/l**(-7)*l)*(l**(1/11)*l)/l))/((l/(l**1/l))**(1/5))**(-37) assuming l is positive. l**(127/55) Simplify ((x/x**(-2/11))**(3/47)/(x/x**(-1/3))**(2/99))**(2/107) assuming x is positive. x**(1354/1493613) Simplify (j**0*j*j**(1/2))/(j**7*j**(-7))*(j**1*j*j**(-2/3)*j)/((j/j**(-7))/j**(-2)) assuming j is positive. j**(-37/6) Simplify ((k/(((k**2/k)/k)/k)*k)**(-5/16))**(3/46)*(k**(13/3)*k**14)**(-10) assuming k is positive. k**(-404935/2208) Simplify s**(-4)/s**(1/10)*s/(s/(s**(1/2)*s))*s*s*(s/s**(-1/6))/s*(s*s**1)**(-47)*s**(2/3)/s**(-1/6) assuming s is positive. s**(-468/5) Simplify (j**(-1/4)/(j*j/j**2)*j*j/j**0*j*j*j*j*j/j**5)/((j**(-2/5))**(-14)/(((j*j**(-1/5))/j)/(j/j**(3/2)))) assuming j is positive. j**(-71/20) Simplify (v**(4/7)/(v**(-1/6)*v))**(-3/8)*v**(2/9)*v*v*v/(v/((v*v*v**(2/13))/v)*v)*v*v*v*v**3*v*v*(v*(v**(-3)*v)/v)/v assuming v is positive. v**(97943/13104) Simplify (q*q/(q**(-1)/q*q))**(-1/39)*((q**(1/3)/q)/q)**0*((q**1)**(-25))**(-44) assuming q is positive. q**(14299/13) Simplify d/(d**3*d)*d*d/d**(4/9)*(d*(d*d/d**1)/d)/(d/(d*(d**(-7)*d)/d))*(d*d*d**(2/5)*d/d**(-2/7)*d*d*d)**(-1/64) assuming d is positive. d**(-76093/10080) Simplify ((g**(-21/5)*g*g**(14/3))**(42/13))**(31/4) assuming g is positive. g**(2387/65) Simplify ((y**(1/5)/y)/y*y**(-1)/y*y**(1/5)*(y**2*y)/y)/((y**(-1/4)/y*y)**(-4/5)/((y/(y*y*y/y**(-5)))/(y/y**(-2/3)*y))) assuming y is positive. y**(-172/15) Simplify (l*l*l**(3/7)/l*(l**(1/2)*l)/l*l)/(l/l**(2/9))**(6/7)*(l**(-2/7)/l)**30/((l*l/l**(-2)*l*l*l*l)/(l/((l/(l**(-8)/l))/l)*l)) assuming l is positive. l**(-2155/42) Simplify (v**(9/7))**(-1/28)*v*v**(-1/8)*v*v/(v*v*v**(-2/25)/v) assuming v is positive. v**(18709/9800) Simplify ((n/n**(-2/5)*n)**(-25))**(11/3)/(((n**(2/7)*n)/(n/n**(2/5)))/((((n/(n**(3/5)*n))/n)/n*n*n*n*n)/(n*n**(3/4)))) assuming n is positive. n**(-61
{ "pile_set_name": "DM Mathematics" }
qrt(832))**2*-6. 3*sqrt(13) + 4988 Simplify 6*(sqrt(243) + 3 + sqrt(243)). 18 + 108*sqrt(3) Simplify 1*(sqrt(78)*6)/sqrt(6). 6*sqrt(13) Simplify ((sqrt(700)*-2 + sqrt(700) + sqrt(700) - sqrt(700)) + (sqrt(7) + 1 + -3 - sqrt(7)))**2. 40*sqrt(7) + 704 Simplify 1*sqrt(11)*3 - sqrt(88)/(sqrt(8)*2). 5*sqrt(11)/2 Simplify ((sqrt(35) - 3*sqrt(560) - sqrt(35))/(sqrt(605)*2))**2. 252/121 Simplify ((3*(sqrt(14) - sqrt(1400)))/sqrt(7))**2. 1458 Simplify (sqrt(44)*-2 - sqrt(44)) + sqrt(44) + -1 + sqrt(44). -2*sqrt(11) - 1 Simplify (1 + sqrt(171))**2 + 4. 6*sqrt(19) + 176 Simplify (sqrt(13) + -1)*-2 + 0. -2*sqrt(13) + 2 Simplify 5*sqrt(95)/(3*sqrt(80)). 5*sqrt(19)/12 Simplify sqrt(189)/(sqrt(28)/sqrt(4) + sqrt(7))*5. 15*sqrt(3)/2 Simplify 2*(1 + (sqrt(396))**2). 794 Simplify 5 + sqrt(500) + 1 - sqrt(500) - ((1 + sqrt(500))*2 - sqrt(500)). -10*sqrt(5) + 4 Simplify (((sqrt(462) - sqrt(462)*-1) + sqrt(462))/sqrt(11))/(1*sqrt(6)*2 + sqrt(6) + sqrt(6)). 3*sqrt(7)/4 Simplify 4*sqrt(27) + -4. -4 + 12*sqrt(3) Simplify 3*(sqrt(7) + (sqrt(7)*1)**2) + (-2*sqrt(63) - sqrt(63))/sqrt(9). 21 Simplify (-1*sqrt(70)/sqrt(2))/(((sqrt(77)*2 - sqrt(77)) + sqrt(77))/sqrt(11) + sqrt(7) + sqrt(7)). -sqrt(5)/4 Simplify ((sqrt(32)/sqrt(2)*-3)/(-2*sqrt(200)))**2. 9/50 Simplify 6*(-3*3*sqrt(175))**2. 85050 Simplify (1 + sqrt(7) + -1)**2 + (sqrt(7) - -2*(sqrt(7) - sqrt(21)/sqrt(3))). sqrt(7) + 7 Simplify sqrt(99) + sqrt(99) + sqrt(99) + (sqrt(99) + -3)**2 + sqrt(99) + 1 + sqrt(99). -3*sqrt(11) + 109 Simplify 4*(sqrt(13) - (2 + sqrt(26)/sqrt(2))). -8 Simplify (sqrt(70) - -2*sqrt(70)*6)/(sqrt(80)/(sqrt(32) + sqrt(8) - sqrt(8))). 26*sqrt(7) Simplify (-1*sqrt(7344))/(-2*sqrt(432)). sqrt(17)/2 Simplify 1*sqrt(34)/sqrt(2) + 1 + sqrt(17) + 4. 5 + 2*sqrt(17) Simplify ((sqrt(2) - 1*(-2 + sqrt(2)))*-2)**2. 16 Simplify (sqrt(252) - (sqrt(252) - (sqrt(252) + (sqrt(252)*-1)**2)))*-3. -756 - 18*sqrt(7) Simplify 3 + (sqrt(171) + -1 + 3)**2. 12*sqrt(19) + 178 Simplify -6*sqrt(684)*3*-6. 648*sqrt(19) Simplify -6*2*sqrt(567)*-1. 108*sqrt(7) Simplify sqrt(7) + 4 + (-2*sqrt(7))**2 + sqrt(700)*-2. -19*sqrt(7) + 32 Simplify ((sqrt(104) - 1*sqrt(104))*-5)/(4*sqrt(32) + sqrt(8)). 0 Simplify (-5*sqrt(12))**2 - sqrt(192). -8*sqrt(3) + 300 Simplify -3 + sqrt(200)*2*-3. -60*sqrt(2) - 3 Simplify ((sqrt(2) - (sqrt(2) - (sqrt(2) + sqrt(2) + (sqrt(2) - sqrt(8)) + 1)))*-2)**2 + -2. 10 + 8*sqrt(2) Simplify -3 + 1 + sqrt(3) - (sqrt(243) + -1)**2. -246 + 19*sqrt(3) Simplify sqrt(128)*-2 + 4. -16*sqrt(2) + 4 Simplify sqrt(121)/((sqrt(110) + sqrt(110) + sqrt(110)*2)/sqrt(10)). sqrt(11)/4 Simplify -1 + -3*1*sqrt(363). -33*sqrt(3) - 1 Simplify 5 + sqrt(20) + sqrt(5) + (sqrt(5) - (sqrt(5) - -2*sqrt(500))) + 5. -17*sqrt(5) + 10 Simplify ((sqrt(209) - (sqrt(209) + (sqrt(209) - (sqrt(209) - sqrt(209)*2))))*-5)/(((sqrt(121)*2 + sqrt(121) + sqrt(121) - sqrt(121)) + sqrt(121))/sqrt(11)). 5*sqrt(19)/2 Simplify 2 + 5*(1*sqrt(343) - (sqrt(49)*1)/sqrt(7))**2. 1262 Simplify (5*(sqrt(28) + 0)*6)**2. 25200 Simplify (((sqrt(90)*-3)/sqrt(3))/sqrt(10))**2. 27 Simplify (-2*((-2*sqrt(170)*1 - sqrt(170) - sqrt(170)) + sqrt(170) + sqrt(170))/((sqrt(110)*-2)/sqrt(11)))**2. 68 Simplify (sqrt(48))**2*-4 + 3 + (sqrt(3) - sqrt(75)). -189 - 4*sqrt(3) Simplify (-1 + sqrt(448) + 1)**2. 448 Simplify sqrt(21)/sqrt(7) + 2 - (-1 + (sqrt(18)/sqrt(6))**2). sqrt(3) Simplify -5 + 0 + sqrt(500). -5 + 10*sqrt(5) Simplify 2 + (4*sqrt(847) - sqrt(847))**2. 7625 Simplify 1*-3*(sqrt(19)*1 + sqrt(19)). -6*sqrt(19) Simplify 4*sqrt(35)/(sqrt(7) + (sqrt(7) - (1*sqrt(84) + sqrt(84) + sqrt(84))/sqrt(12))). -4*sqrt(5) Simplify 1 + sqrt(75)*-2. -10*sqrt(3) + 1 Simplify (((sqrt(153) - -4*sqrt(153))/sqrt(3))/sqrt(3))**2. 425 Simplify ((2*sqrt(80))/sqrt(8))/((-1*sqrt(10))/sqrt(5)). -2*sqrt(5) Simplify ((sqrt(209) + (sqrt(209) - sqrt(209)*-2))/sqrt(11) + -2)**2. -16*sqrt(19) + 308 Simplify (sqrt(170)/sqrt(40))**2 + sqrt(17) + sqrt(102)/sqrt(6)*3 + sqrt(17). 17/4 + 5*sqrt(17) Simplify (sqrt(99) - (sqrt(99) + (-4*sqrt(99)*-1 - sqrt(99))))/((sqrt(108)*-2)/sqrt(12) + sqrt(9)). 3*sqrt(11) Simplify sqrt(187)/(sqrt(11)*3) + (3*sqrt(119))/sqrt(7). 10*sqrt(17)/3 Simplify (-3*sqrt(76)/sqrt(4) + -1*sqrt(1216))**2. 2299 Simplify ((sqrt(80) + sqrt(80)*3 + -5 - sqrt(80))*1)**2. -120*sqrt(5) + 745 Simplify (4*(3 + sqrt(192)))**2. 768*sqrt(3) + 3216 Simplify (sqrt(19) - ((sqrt(19) + -2)*-3)**2) + (1 + -2 + sqrt(19))**2. -187 + 35*sqrt(19) Simplify (sqrt(28) + 1)**2 - ((sqrt(7) + sqrt(7) + -2)*4 - sqrt(7))**2. -378 + 116*sqrt(7) Simplify (sqrt(1053)*1 - (sqrt(78)/sqrt(6) + -4))**2. 64*sqrt(13) + 848 Simplify (-1*sqrt(17)*-3)**2*4. 612 Simplify (sqrt(320)*1 + -1)**2. -16*sqrt(5) + 321 Simplify (2*sqrt(240))/sqrt(12). 4*sqrt(5) Simplify 4 + 2*sqrt(300) + -3 + 4. 5 + 20*sqrt(3) Simplify ((sqrt(396) + -5*(sqrt(396) + 4))*-2)**2. 3840*sqrt(11) + 26944 Simplify (sqrt(320) + 0)*1. 8*sqrt(5) Simplify sqrt(30)/(sqrt(160) - -4*sqrt(160)) + 5. sqrt(3)/20 + 5 Simplify (-5 + 0 + sqrt(19))*-6 + 5 + (sqrt(2736) - (-1*sqrt(2736))**2). -2701 + 6*sqrt(19) Simplify 1*sqrt(2)*-3 + (sqrt(2)*-2)**2*-3. -24 - 3*sqrt(2) Simplify (1*sqrt(22))/sqrt(11) + -2 + 2. sqrt(2) Simplify (sqrt(28) + -5 + 3)**2. -8*sqrt(7) + 32 Simplify 2*(sqrt(1088) + 0)**2. 2176 Simplify (1 + 4*sqrt(1008))**2. 96*sqrt(7) + 16129 Simplify ((sqrt(126)*-2)/sqrt(7))/((sqrt(72)*2)/sqrt(12)). -sqrt(3) Simplify 3 + (sqrt(1539)*-2)**2 + -5. 6154 Simplify 2 + (-5*(sqrt(1700) - (3 + sqrt(1700))))**2. 227 Simplify (-4*(2 + sqrt(7)) - sqrt(7)) + (sqrt(252) + 0 - sqrt(252))**2. -5*sqrt(7) - 8 Simplify 1*sqrt(539)*-1. -7*sqrt(11) Simplify (sqrt(6)/(sqrt(50)*-3 + sqrt(2)))**2. 3/196 Simplify (-5 + -2 + sqrt(931)*-2)**2. 196*sqrt(19) + 3773 Simplify (1*2*sqrt(204))/sqrt(12). 2*sqrt(17) Simplify (-4 + sqrt(32))**2*-5 + -1. -241 + 160*sqrt(2) Simplify 3*6*-1*sqrt(500)*-4. 720*sqrt(5) Simplify ((-4*sqrt(171) + 0)*-2)**2*3. 32832 Simplify 3 + -4*sqrt(25)/sqrt(5) + 2 + sqrt(180). 2*sqrt(5) + 5 Simplify (sqrt(13) + sqrt(208)*-1)**2 + 0 + sqrt(52)/sqrt(4). sqrt(13) + 117 Simplify ((sqrt(486) - (-2*sqrt(486) - sqrt(486))) + sqrt(486))/(-2*sqrt(32)). -45*sqrt(3)/8 Simplify ((-2*sqrt(112) + -3 + 1)*-2)**2. 128*sqrt(7) + 1808 Simplify 5 + 2*sqrt(3) + 5 + sqrt(15)/sqrt(5). 3*sqrt(3) + 10 Simplify 5*-5*(sqrt(5) + 4). -100 - 25*sqrt(5) Simplify 1*((sqrt(72) + sqrt(2))*3 + sqrt(2) + sqrt(8) + 3). 3 + 24*sqrt(2) Simplify ((sqrt(88) - (sqrt(88) + (sqrt(88) - (sqrt(88) - (-5*(sqrt(88)*-1 + sqrt(88)) - sqrt(88))))))/sqrt(128))**2. 11/16 Simplify -3 + ((sqrt(11) + 0)**2 + sqrt(11))*-1. -14 - sqrt(11) Simplify sqrt(20)/(sqrt(24)/sqrt(54)) + (sqrt(80)*-1*-4)**2. 3*sqrt(5) + 1280 Simplify (sqrt(190)/(sqrt(40)/sqrt(4)))**2 - (sqrt(19) + 3 + -2). -sqrt(19) + 18 Simplify -1 + ((sqrt(7) + -2*sqrt(7))*2 - (-2*sqrt(1008) + sqrt(7))). -1 + 21*sqrt(7) Simplify -4*((sqrt(8) + 2 + sqrt(2))**2 - sqrt(2)). -88 - 44*sqrt(2) Simplify (sqrt(560) + (-1*sqrt(560) - sqrt(560) - sqrt(560)))/sqrt(7). -8*sqrt(5) Simplify 2 + (0 + sqrt(176) + 0)**2. 178 Simplify (-5 + (sqrt(99) + 1 - sqrt(99)))**2 + sqrt(99) + -4. 3*sqrt(11) + 12 Simplify (sqrt(38)/(sqrt(550)/sqrt(11)))**2*-5. -19/5 Simplify ((sqrt(128) - (sqrt(128) + 1))*2)**2. 4 Simplify 2*(-4*sqrt(33)/sqrt(3) + (1*sqrt(88))/sqrt(8)). -6*sqrt(11) Simplify 1*(1*(-1*(3 + sqrt(19)) + sqrt(19)))**2. 9 Simplify sqrt(187)/(sqrt(55)/((sqrt(5)*1 - sqrt(5)) + sqrt(5))). sqrt(17) Simplify (4*((sqrt(684) + 0)*-2 + -1))**2. 384*sqrt(19) + 43792 Simplify 4 + ((-2*sqrt(6))/sqrt(2))**2 + sqrt(3). sqrt(3) + 16 Simplify -4*(2*sqrt(1216))**2 + sqrt(1216). -19456 + 8*sqrt(19) Simplify ((sqrt(68) - ((-1 + sqrt(68) - sqrt(68)) + 0 - sqrt(68))) + 2 + -3)**2. 272 Simplify sqrt(35)/(sqrt(80)/sqrt(4)). sqrt(7)/2 Simplify (((sqrt(91) - 2*sqrt(91))*1)/((-1*sqrt(77))/sqrt(11)))**2. 13 Simplify sqrt(3) + sqrt(12)/sqrt(64) - sqrt(3)*1*-4. 21*sqrt(3)/4 Simplify (2*sqrt(7488))/(sqrt(196) - (sqrt(196) - (sqrt(196)*1 + sqrt(196)) - sqrt(196))). 8*sqrt(13)/7 Simplify (sqrt(6)/(1*sqrt(2)) + 0 + sqrt(243))**2. 300 Simplify sqrt(275) + (4 + sqrt(275) + 1 - sqrt(275))**2 + 6*(sqrt(275) + 1). 31 + 35*sqrt(11) Simplify -4*2*sqrt(396). -48*sqrt(11) Simplify (sqrt(11) + (sqrt(110) + sqrt(110) + sqrt(110)*1)/sqrt(10) - (sqrt(11) + 0)*1)**2. 99 Simplify (-1*sqrt(1024) + sqrt(1024))/(sqrt(8)
{ "pile_set_name": "DM Mathematics" }
28) - -2)/((-2)/32). Suppose d*m - 3*c = 31, -7*m + 10*m - 5*c = 37. Solve -3*z + 5*h = -7 - 0, -m*h = -2*z + 6 for z. -1 Suppose -484 = -61*s + 4. Suppose 4*h - s - 8 = 0. Solve 29 = -5*w + h*m, -4*m + 8 = 4*w + 24 for w. -5 Let j = -18531 + 18546. Let q(m) = -m**2 + m. Let n be q(0). Let l = n - -9. Solve 0 = 3*w + j, t - 2*w - l = 1 for t. 0 Let n(t) = t**2 - 5*t - 7. Suppose 7*x = -13*x - 40. Let k be n(x). Solve 4*f = 3*j - k - 0, 0 = -5*f + 10 for j. 5 Let c(z) = 6*z**2 + 3*z + 1. Let g be c(-1). Suppose 0*r - 3*x - 24 = -5*r, r = 3*x. Let w be 2 + 6*10/r. Solve 0 = -4*h + w, 3 = 2*n + 3*n - g*h for n. 3 Let j(i) be the second derivative of 19*i + 1/12*i**4 + 1/6*i**3 - 1/20*i**5 + 15/2*i**2 + 0. Let a be j(0). Solve g = -2*w - 1, -a - 2 = -5*w + 4*g for w. 1 Suppose -867*w - 4 = -869*w. Solve -23 = 2*k - 3*i - 16, -k = -w*i + 5 for k. 1 Let p be 1 + (((-90)/25)/(-2))/((-57)/(-665)). Solve 0 = 4*b - m - 6, p = -3*m + 4 for b. 0 Suppose 0 = -2*c + 5*z + 31 + 4, 0 = -5*c - 3*z + 10. Let i = 17 - 50. Let w = i - -35. Solve w*o + c*b = 29, -b = -5 - 0 for o. 2 Suppose 167 + 22 = 9*i. Suppose -5*y = n - 2 - i, -5*y = 5*n - 55. Solve g - n = -5*r, -2*g - 10 = r - 4*r for r. 2 Let u(d) = 2*d - 2 + 2 - 4 - 6 - 11. Let b be u(13). Solve 4*v - b*i = 32, 2*i + 10 = -2*v - 2*i for v. 3 Let f = 4 + -2. Let j(h) = h**3 - 4*h**2 - 6*h - 1. Let t be j(-1). Let q be (-1 - t)*(11 + -11)/(-6). Solve v - f*v + 4 = 4*k, v - 2*k + 2 = q for v. 0 Suppose -4*p + 6*p = 6. Suppose -p*m - 2*u = 0, 2*u = 2*m - 4*m - 2. Let t be (8 + (-369)/36)/(3/(-4)). Solve -5*k + t = m*w, 4*k + 5*w = w for k. 1 Let z = 589 - 574. Suppose -l - z = -3*k - 2, l = k - 5. Solve -k*p - 6 + 0 = -u, 0 = -p + 5*u + 8 for p. -2 Let w be (7 + 0)/(-1*(-1 + 0)). Suppose -l = w*l. Let v be ((-2)/6)/((-2)/18). Solve 0 = -3*s - 4*c, l = 5*s - v*s + c for s. 0 Suppose 147 - 3 = a + 17*a. Solve -4*h = -f - 10, -14*h + a = -12*h for f. 6 Suppose 0 = -m + 16 - 15, -5*g + 157 = 2*m. Suppose 36*h - g*h - 40 = 0. Solve -x - x = -4, 2*x = -4*t - h for t. -3 Let w = -48 + 57. Let i(q) = -q**3 + 6*q**2 + 14*q - 13. Let k be i(9). Let h be w/12 + k/(-8). Solve -u - u + h = 3*a, 0 = -u + 3*a - 5 for u. 4 Let t be 5 - (7 + -14 + 9)/1. Solve -t*j + 6 = -3*v, 4*v + 2*j + 0*j = 10 for v. 1 Let u(w) = -w**3 - 2*w**2 + w + 4. Let c be u(-3). Let t be 4/((32/24)/(c/3)). Solve -3*o + t = 4*z, 2*o + 2*z - 6*z = -20 for o. -2 Let m = 9 - 6. Suppose -3*y = -5*b + 40, 2*y + 20 = m*b - b. Solve -c - 2 = 0, 5*l + b*c = 3*c - 9 for l. -1 Suppose 1327*d = 1367*d - 200. Solve -c = 5*k - 11 + 6, k - d*c = 1 for k. 1 Let h be (5/10 - 2)*-2. Let m = -13 + 21. Suppose m*z - 3 = -3. Solve 2*v + h*c + 9 = z, -v - 4*c + 3 = 15 for v. 0 Let f(i) = -i**3 - 8*i**2 - i - 2. Let g be (-48)/(-20)*(-3)/((-54)/(-60)). Let d be f(g). Solve -2*h = 5*y + d, 5*y + h = -2*h - 4 for y. -2 Let u(t) = 4*t**2 - 28*t - 69. Let h be u(-2). Solve h*k - 30 = -5*l, -4*l + 17 + 7 = 2*k for k. 0 Suppose 0 = -b - 5*b + b. Let o be (-2)/(-12) + (-25)/(-30). Let d(c) = 2*c**3 + c**2 + 2*c - 2. Let i be d(o). Solve i*a = 5*j + 22, -a - j = -b*a - 2 for a. 4 Let x(q) = q**3 - 3*q**2 - 79*q - 59. Let m be x(-7). Solve 12 = -2*r + m*d, -2*r + 31 = 2*r + 3*d for r. 4 Let k(a) be the third derivative of -a**5/60 - a**4/4 - 5*a**3/2 + 16*a**2. Let i be k(-7). Let y = i + 25. Solve 4*z + y*g + 3 = -4, 4 = -4*g for z. -1 Let s(b) = -b**3 + 3*b**2 - 5*b + 4. Let p be s(4). Let f = p + 63. Suppose 5 = -13*m + f. Solve -3*d = 3*o + 27, 2 = m*d - 0*d - 3*o for d. -5 Let v(s) = -s**2 - 29*s - 68. Let w be v(-19). Let p = -120 + w. Solve p*i + 10 = 0, -28 = -l - i + 6*i for l. 3 Let u(j) = -6*j**3 - 24*j**2 + 5*j + 27. Let g be u(-4). Solve 3*h = y + 5, 3*h + g = -3*y - 8 for y. -5 Let u = -5922 + 5925. Solve -u*q = 4*n - 6*n, n + 3*q - 9 = 0 for n. 3 Suppose -201*t + 8 = 3*m - 194*t, -2*t + 8 = 2*m. Solve m*p + z - 3 = 4*p, 2*z = p + 12 for p. -2 Let x = -416 + 416. Suppose 2*w + 6 = 2*i - 2*w, 3*w = x. Solve 0 = 4*d + 10 + 10, 0 = -i*p + 2*d - 2 for p. -4 Suppose 3*l = 3*y - y + 1, 5*y - l = 17. Let c(b) = 21*b - 320. Let a be c(15). Let p be y + 35/a + 3. Solve -2*v - 25 = v - 5*s, p = 5*s - 25 for v. 0 Suppose 75*k = 67*k - 176. Let r = k - -24. Solve 3*f + 4 + r = 5*m, 5*f - 30 = -5*m for f. 3 Let n = -625 - -813. Suppose 43*f = -4*f + n. Solve -1 = w + 4*t, -3*w + 7*w - f*t + 24 = 0 for w. -5 Let t(m) = m**3 - 22*m + 27. Let f be t(-5). Suppose -5*l = 5*g, 9*g - 7*g - f = 4*l. Solve -g*v - 5*h + 1 = 0, 5*v - 11 = -h - 3*h for v. 3 Let o(r) = r**3 + 38*r**2 + 166*r + 5. Let n be o(-5). Solve -s - h + 5 = n, 13 = -s + 4*h + 3 for s. 2 Suppose 0 = 12519*f - 12531*f. Solve 0 = 4*v + k + 9 - f, 4*k = -4 for v. -2 Let v(h) = 24*h**3 - 5*h**2 - 4*h + 1. Let f be v(-2). Let w = 210 + f. Solve -4*z - w*i + 3*i + 8 = 0, -3*z = 5*i - 14 for z. -2 Let x be 8/((-280)/(-15)) + (-12)/28. Solve j - 7 = 3*a, x*j = -4*a - j for a. -1 Let p(n) = -13*n + 4. Let s = 47 - 46. Let m(u) = -u + 1. Let l(f) = s*m(f) - p(f). Let x be l(2). Solve -4*d + x = -z, 2*z - 4*d + 20 + 2 = 0 for z. -1 Let i = -3798 - -3821. Solve -5*c - i*x = -22*x - 21, 3 = 3*x for c. 4 Let w(b) = -7*b + 97. Let n be 1/((3*6/(-18))/(-13)). Let q be w(n). Let v be 0/(-1)*(-2)/(-4). Solve v = 3*a - 4*f - 23, -f + q*f + 25 = 0 for a. 1 Suppose -83*r + 58 + 274 = 0. Solve -3*s + 5*m - 13 = 0, r*m - 11 = s + m for s. 4 Suppose -6*u = -u - g + 440, 0 = -5*u + 4*g - 455. Let d = 87 + u. Solve d = -5*p + 3*q - 30, p + q - 11 = 3*p for p. -3 Let p be -7 - (-108)/(10 + -4). Solve 4*l + 12 = 0, -p = 4*m - 3*l - 4 for m. -4 Suppose 2*m - 7 + 11 = 4*k, -4*m - 5*k + 18 = 0. Suppose -m*f - 17 = -57. Solve 0 = -4*w + f, -4*w + 2*w = 5*i for i. -2 Let t(b) = b**2 - 15*b + 46. Suppose -92*m = -98*m + 66. Let h be t(m). Suppose -12 = -s + 3. Solve -h*g + 5*o - 10 = 0, s = -3*g - 5*o + o for g. -5 Let n(i) = 3*i**2 + 95*i + 66. Let l be n(-31). Solve -3*t = -2*b + 8, -l*t = b - 6 + 2 for b. 4 Suppose c - 10*c + 576 = 0. Suppose 8*d - 12*d + c = 0. Solve 2*v - 4*j = d, -5*v + j + 9 + 4 = 0 for v. 2 Suppose 5*l = -4*x + 295, -l = 4*x - 107 - 176. Let v = x - 58. Solve 4*c - v = 2*b, -7*c - b = -3*c - 24 for c. 5 Let j(q) = 6*q**2 + 2*q - 8. Let w be j(2). Suppose -3*t - y + 3 = -8, -4*y = -w. Solve -4*m + 2*i - t = 0, 0*m + m - i + 1 = 0 for m. 0 Suppose -10*x + 6*x = -168. Suppose k - x = -6*k. Let d = -35 + 49. Solve -4*y + 5*g + 4 + d = 0, 3*g + k = 0 for y. 2 Let b = -70 - -73. Suppose -5*o - 29 = -b*y, 12*o = 2*y + 9*o - 18. Let x be (-66)/(-14) - 6/(-21). Solve -p - 4*m + 0*m = 22, 0 = 5*p - y*m - x for p. -2 Suppose -594 = 97*a - 151*a. Solve -5*s - 281 + 296 = 0, -4*b - 5*s + a = 0 for b. -1 Let i = -10 + 22. Let m(v) = -v + 16. Let y be m(i). Suppose -y*p + 8 = -0*p. Solve -2*l + n - 2 = p, -3*l = 5*n - 7 for l. -1 Suppose 1041 = 24*t + 57. Let r(l) = 19*l. Let k be r(-2). Let f = t + k. Solve -2*w = -0*w + 2*y - 16, 0 = f*w + 4*y - 28 for w. 4 Let s(n) be the second derivative of -n**3/3 + 3*n**2/2 - n + 50. Let l be s(-1). Solve 0*y - w = 4*y, 0 = y - w - l for y. 1 Let h(i) = 17*i**2 - 12*i - 19 + 2*i + 9*i + 18. Let d be h(-1). Let l(p) = 2*p**2 + p - 1. Let t be l(1). Solve -2*y + 1 = t*r + 3, -y - d = 5*r for y. 3 Let w = 313 + -311. Suppose 3*r + 2*s = 14, -r - w*s + 10 = 4. Solve r*u - 4 = -4*f, 4*f - 14 = -f - 2*u for f. 4 Suppose -4*w + 8*w = -4, -2*w + 142 = -4*m. Let s be (-440)/m - 4/18. Solve v + 3 = -c, 0 = -4*c + 2*v + 2*v - s for c. -3 Let i(x) = -2*x**3 - 7*x**2 + 8*x - 17. Let l be i(-9). Suppose 0 = -3*p - l + 817. Solve r - 8*m - 14 = -3*m, 5*r + 20 = -p*m for r. -1 Let p be (-4 + 1)*(-17)/51. Let y be p + (1 - 3) + (-1)/(-1). Suppose c + c = y. Solve 3*o + 2*q + 2 + 11 = c, 4 = 4*q for o. -5 Suppose 7*f - 183 = 4*f. Let p = 58 - f. Let c(m) = -m - 1. Let z be c(p). Solve n + z*n - 5*x = 40, 0 = 2*n + 2*x for n. 5 Let w(q) = -4*q**2 + 11*q - 72. Let v be w(-7). Let n = 348 + v. Solve 4*t - 4*a = -6*a + 2, a = -n for t. 2 Suppose 0 = -53*q + 462 - 197. Suppose -3*k - 14 = -6*k - z, 0 = z - 5. Suppose k*a + 4 - 13 = 0. Solve q*h - 23 = a*g, 0*g + 14 = 2*g + 4*h for g. -1 Let m be (4/(-1) + 1)*(-32)/(-12). Let c(j) = j**3 + 10*j**2 + 16*j + 7. Let b be c(m). Suppose 0 = -0*g + g - 4. Solve -4*r - d = b + 5
{ "pile_set_name": "DM Mathematics" }
? 2/3 Calculate (-1 - (-69)/6)*4/7. 6 What is (3/6*(-5 + 5))/1? 0 What is the value of (-35)/(-25) + -1 + (-322)/630? -1/9 What is (2 + 2)/(-16) - (-2)/(-56)? -2/7 What is 5*(-6)/30 + 8? 7 What is the value of 1890/(-350) - 4/(-10)? -5 What is the value of ((-78)/351)/((-12)/(-135))? -5/2 What is the value of 15/6 + (-5 - -1)? -3/2 What is (-20)/170 + (-252)/(-119)? 2 2/(-2)*(-2)/(-14) -1/7 Evaluate (-6)/(-1) - (10 + -10 - -5). 1 What is the value of (-2)/(-5) - 2/(-20)? 1/2 Calculate (-7)/(-14)*4/(-5). -2/5 Evaluate 10/(-25)*(-5)/(-9). -2/9 Evaluate (28/7)/(2 - -8). 2/5 (-9)/(-6)*(-10)/(1200/10) -1/8 What is (-1 + (-19)/(-21))*-3? 2/7 What is 10/(-20) + 26/20? 4/5 Evaluate -2*(-3)/(3 - -3). 1 What is the value of (7 - (-29)/(-4))/((-9)/48)? 4/3 Calculate 2/(-10) - (-483)/315. 4/3 What is 4/(-10) - 4/(-35)? -2/7 What is the value of (-1 + 7/10)/(5/10)? -3/5 Calculate 1 + 10 + 29 + -35. 5 Calculate (-18 + (-380)/(-20))/(-1 - -2). 1 What is 1/(-3)*(-24)/(-14)? -4/7 What is (-24)/21*1 - -1? -1/7 What is the value of (-218)/(-24) + -85 + 76? 1/12 Evaluate 8 - (-1 - (4 - 11)). 2 What is (12/8 + 1)*1*2? 5 What is the value of 3/3 + -20 + 19? 0 ((-2)/(-8))/((-10)/(-4))*4 2/5 What is the value of 4/((-24)/(-30)*-1)? -5 Evaluate -3 - 57/(-18) - 38/12. -3 What is ((-6)/15)/((-26)/(-39))? -3/5 Evaluate 5082/(-7865) + 4/(-26). -4/5 What is 6/(-1) + 3 - 55/(-19)? -2/19 Evaluate (1 - 4)/1*(-18)/18. 3 What is the value of ((-10)/(-4))/((-90)/180) - -10? 5 What is (-364)/(-28) - (-23)/(-1)? -10 What is (-9*(-18)/(-189))/(-7 + 5)? 3/7 ((-80)/30 - -5)/((-3)/(-9)) 7 Evaluate (-35)/(-50)*16/(-14). -4/5 What is (125/50)/(1/(-2))? -5 What is (5 + ((-8)/4 - 0))*-1? -3 Evaluate 6 + 4/(168/(-245)). 1/6 What is the value of 3/(-78)*28/(-7)? 2/13 (-6 - -7 - -7)*(-1)/2 -4 Calculate ((-1)/2)/(142/1420). -5 Calculate (-9)/4 + 70/280. -2 ((-10)/(-75))/((-2)/10) -2/3 What is the value of 55/30 + -4 + (-42)/(-12)? 4/3 Evaluate (-7)/(1 - 0) - 12/(-4). -4 What is the value of 59/88 + 156/(-286)? 1/8 Calculate -5 + (-66)/(-14) - 38/(-84). 1/6 Evaluate (-4)/12 + 352/66. 5 Evaluate -1 + 18/(-63)*-14 - 13. -10 2/(-3)*99/(-264) 1/4 (1/(-3))/(8/16*-1) 2/3 0/4 - 2 - (-3 + -4) 5 What is 51/(-6) + 6/(-12) + 0? -9 -3 + 231/28 - 1/4 5 Calculate ((-8)/(24/(-9)))/(-3). -1 -2 - 0 - 1 - (-26)/8 1/4 What is the value of (-104)/40 - 10/25? -3 Calculate ((-7)/(-2))/(132/(-120)) - -3. -2/11 -4 - (-14)/(2688/780) 1/16 Evaluate ((-33)/88)/(6/4). -1/4 Calculate -4 - (-486)/84 - 2/7. 3/2 Evaluate (-1*4/3)/((-28)/210). 10 Evaluate (-1 - -22)/(-3) - 5*-1. -2 Calculate ((5 - 72/20)*-5)/(-1). 7 What is the value of (56/(-210))/((-2)/5)? 2/3 Calculate (5 + -1)/((-117)/39). -4/3 Evaluate -3 + 5/3 + 44/(-66). -2 What is the value of 8/(-4) + (-7)/(-3)? 1/3 Calculate ((15/(-6))/(-1) - 1)*2. 3 What is the value of (2 - 6) + 5 - -3? 4 (-6)/111 + 343/1554 1/6 What is 2/10*-2 - 70/75? -4/3 (80/(-48))/((-1)/(1 - -2)) 5 Calculate (9/30)/(99/55). 1/6 What is the value of 14/(-8) - 2*(1 + -2)? 1/4 ((-15)/6 + 2)*0/5 0 Evaluate (45/(-420))/(6/(-7)). 1/8 Calculate ((-61)/(-3294))/(2/(-6))*4. -2/9 (2/3 + -1)/((-2)/3) 1/2 What is (-5)/(-1) + 117/(-39)? 2 308/(-819)*1 + (-2)/(-13) -2/9 2 - ((-244)/(-110) - 6/15) 2/11 0/(-3*4/(-12)) 0 Evaluate (-1 - -4 - 96/64)/(-3). -1/2 Calculate (0 + 3)/(-3) - -1*1. 0 Calculate (1 - -2) + 1 + -3. 1 Evaluate ((-4)/(-9))/(2 + (-32)/18). 2 Evaluate (1*2/14)/(52/(-182)). -1/2 2/4 - (-1)/(-4) 1/4 What is (10/6)/((-7)/21)? -5 Evaluate 3/(-8)*(17 - 927/54). 1/16 What is the value of 5 - ((-7)/1 - -17)? -5 What is 39/(-18) + 2/3? -3/2 Evaluate ((-3)/(-24))/(28/(-280)). -5/4 Evaluate (-2)/11 + (-38)/(-88). 1/4 Calculate 21/6*(4 - (-108)/(-21)). -4 6/(-36)*(-4)/(32/12) 1/4 -20 + 20 - 4/6 -2/3 What is the value of (-4)/16*88/33? -2/3 Calculate (-169)/(-156) + (-5)/4. -1/6 Calculate -1 - (-2 - (3 - (-184)/(-44))). -2/11 Calculate (-2)/4 + (-30)/(-108). -2/9 What is the value of 9/(-4) - 42/56? -3 -1 + -3 - 8/(-2) 0 Evaluate (((-144)/(-27))/8)/(4/(-6)). -1 Evaluate (-133)/126 + 7/126. -1 What is the value of (-4 + 66/16)*2? 1/4 Calculate (-232)/40 + (-1 - (-27)/15). -5 (-56)/(-16) + 4/1 + -5 5/2 What is the value of (-3502)/(-2244) - (-3)/(-2)? 2/33 Evaluate (96/(-90) - -1)*(-3)/(-2). -1/10 Calculate -1*1*(-1)/(-3). -1/3 Calculate (4/((-20)/(-15)))/(-1). -3 Calculate (13 + -11)*(-12)/32. -3/4 1 + (7 - 3) + -8 -3 2/(-5) - ((-24)/(-15) - -1) -3 2/10 - (96/(-105))/4 3/7 What is the value of ((-192)/(-104) + -2)*(-2 + 3)? -2/13 What is the value of ((-2)/(-5))/((-697)/(-205))? 2/17 (-117)/156 + (-1)/4 -1 What is the value of (1 - (4 - 3)) + 0 + 1? 1 What is the value of (-54)/21 - ((-336)/(-98) - 4)? -2 What is the value of (100/(-45) - (-6)/27)/(-2)? 1 Evaluate (-46)/(-184) - (18/(-8) + 2). 1/2 What is 12 + -5 - (6/(-1) + 17)? -4 589/(-248) - 10/(-4) 1/8 Calculate (-2 + -1)*(-30)/(-54). -5/3 What is the value of (-9)/((-81)/15) + 1*-2? -1/3 (54/24)/((-39)/104) -6 (-8)/(-32)*-28*(-3)/7 3 Evaluate (6 - 8)/(1/3) - -4. -2 Calculate (34 - 31)/(6/(-10)). -5 Evaluate (-50)/(-225) + (-121)/(-63) + -1. 8/7 What is -93*(-21)/2772 - (-5)/(-4)? -6/11 What is (-35 - -28) + 162/22? 4/11 What is the value of -1 - 0 - (1 + 3 + 1)? -6 Calculate ((-112)/9)/(-2) + (-186)/837. 6 Calculate (12/(-84))/(2/6). -3/7 (-4)/3*-1*(-1)/(-2) 2/3 What is (-35)/(-15) + -3 - 102/(-72)? 3/4 What is (2 + (-16)/5)*(-10)/8? 3/2 10/5 + 2 + -7 -3 (-5)/(5/(-4)) - (-78)/(-21) 2/7 What is 12/(-16)*80/(-24)? 5/2 Calculate (4 - (-18)/(-4))*(-3 + 1). 1 What is the value of (-2)/3 - ((-280)/72 + 3)? 2/9 Calculate -5*6/(-45)*6/(-2). -2 Evaluate (2*5/(-25))/(2/(-35)). 7 Evaluate ((-10)/(-8))/((-10)/(-4)). 1/2 What is the value of 7/(35/(-12)) - -3? 3/5 Calculate (8/(-6))/(142/213)*4. -8 Evaluate (16/(-14))/((-3)/21*1). 8 Calculate (76/35 + -2)*(-644)/(-138). 4/5 What is (-3)/4 + 69/46? 3/4 What is the value of ((-2)/4)/((-5)/10)? 1 What is the value of (-1 + -1)*(2*1)/(-14)? 2/7 What is 9 - 4 - 3 - 7? -5 What is the value of 1*(9 - 196/21)? -1/3 What is the value of 10/24 + (-37)/148? 1/6 (17 - 16)*2/(-6) -1/3 Evaluate (1*3)/(28/(-8)*-3). 2/7 (-3)/(5 - 4) + 0 -3 What is the value of 105/(-21) + (-64)/(-12)? 1/3 Evaluate (-1)/3 + 6 + 16/(-3). 1/3 What is (-20)/2 + 5 + -1 + 4? -2 What is (-3)/((-9)/(-6))*13/143? -2/11 What is the value of (62/(-14))/1 - (-12)/(-21)? -5 Calculate (-2)/(-60)*154 + -2 + -3. 2/15 What is (-26)/(-6) + 12/(-9)? 3 (-4)/8*(-1)/2 1/4 Evaluate -3*(4/18 + 140/(-90)). 4 Evaluate (-48)/(-36)*3 + -2 + 5. 7 Evaluate 15/4 + (10 - 14). -1/4 Calculate 32/(-10)*15/(-24)*4. 8 What is the value of 12/(-10)*(-295)/826? 3/7 Evaluate 12/2*(-6)/9. -4 Calculate 5/(-40) - (-185)/200. 4/5 Evaluate ((-1)/18)/(13/(-39))*8. 4/3 What is 38/57*(-5)/(-2)? 5/3 20/(-150) - (2/(-2))/(-5) -1/3 Calculate (30/(-7))/(144/336). -10 What is -1 + (-1 - (-3 - 0))? 1 Calculate ((-1)/(20/(-12)))/1. 3/5 Evaluate (-5 - -6)/(1/(-1)). -1 Evaluate (2/(-10))/(6 - 130/25). -1/4 2/6 + 850/150 6 Evaluate (-1)/12*(-10 - (-14 - -7)). 1/4 Evaluate 500/(-275) - 4/22. -2 What is 2 + (-32)/(-42) + 49/(-21)? 3/7 What is the value of (2/(-5))/((-56)/70)? 1/2 Evaluate (9/(-6))/(12/104*13). -1 What is the value of (10 - 10)*(-2)/4? 0 What is the value of 25/20*328/41? 10 What is the value of -3 + ((-1127)/(-56))/7? -1/8 What is the value of -1*(6/21)/(144/112)? -2/9 Calculate 8 - ((-708)/154)/(104/(-182)). -1/22 Evaluate (-207)/63 - 8/(-28). -3 Calculate 128/(-68) + 2 - 72/34. -2 What is (1419/946)/(1/((-8)/3))? -4 What is (-3)/(-18)*3 + 10/4? 3 Evaluate -1*(-120)/66 - 2. -2/11 Calculate ((-17)/170)/(2/16). -4/5 What is 10/(-3) + 3 - (-98)/(-21)? -5 (1016/144 + -7)*3*-1 -1/6 What is (-3)/(-12)*32/(-14)? -4/7 What is the value of ((-1)/(-4))/((-41)/164)? -1 Calculate ((-6)/(-8))/(624/(-1664)). -2 Evaluate 0/((0 + 1)/((-2)/(-4))). 0 What is 2 + 4 + ((-440)/(-14))/(-5)? -2/7 Calculate ((-2)/4*4)/(11 + -12). 2 (2/10)/(9/60) 4/3 Evaluate (-330)/(-176)*4/(-10). -3/4 What is ((-9)/27)/(-1 - 10/(-9))? -3 Evaluate (-2)/(2/15)*146/(-438). 5 (-1)/(944/(-72) - -13) 9 Evaluate ((-10)/(-8))/((-15)/60). -5 What is (176/1232)/((-20)/(-14) - 1)? 1/3 What is (-2 - 7) + -2 + 8? -3 ((-4)/(-7))/((-4)/56) -8 What is the value of ((-2)/(-14))/((-74)/(-8) - 9)? 4/7 What is 3/(8/48*27)? 2/3 Evaluate (-9
{ "pile_set_name": "DM Mathematics" }
/2)/j**(-3/20) assuming j is positive. j**(-7/20) Simplify (x**0/x*x)/x*x/x**(-2/7)*(x**0*x*x*x*x)**47 assuming x is positive. x**(1318/7) Simplify (n*n**(-2/19))**(-27) assuming n is positive. n**(-459/19) Simplify (w*w**(1/26))/w*w**(2/31)*w assuming w is positive. w**(889/806) Simplify ((q**(1/7)*q)/(q**2/q))/((q*q**(-3/7)*q*q)/q*q**(-2/3)) assuming q is positive. q**(-16/21) Simplify (d**0*d*(d/d**(-2))/d)/(d**(2/5)/d**3) assuming d is positive. d**(28/5) Simplify (l*((l**(-4)/l*l)/l)/l*l*l)**(2/13) assuming l is positive. l**(-6/13) Simplify (v/v**9*v)/v**(-17) assuming v is positive. v**10 Simplify (((x**(-5)*x)/x)/(x*x*x**(-5/7)))**(4/41) assuming x is positive. x**(-176/287) Simplify ((x**(2/7))**(6/23))**(2/31) assuming x is positive. x**(24/4991) Simplify k**(1/3)*k*k*k**2*k**1*k*k*k*k**(2/17)*k*k assuming k is positive. k**(533/51) Simplify (o/(o*o**(-1)))**19/(o**(4/3)*o/(o*o*(o**(1/3)*o*o)/o)) assuming o is positive. o**20 Simplify f/(f*f/(f*f/(f*f**(-15))))*f*f*f**16*f assuming f is positive. f**34 Simplify (u**(-1/7)*u)**(-8/5) assuming u is positive. u**(-48/35) Simplify (y*(y*y**(-3/2))/y*y)/(((y/(y**(1/36)/y))/y)/y) assuming y is positive. y**(19/36) Simplify ((g/g**2)/g)**(6/7) assuming g is positive. g**(-12/7) Simplify (d*d*d**(1/2)*d)/(d**(-4)*d)*(d/(d*d*d**2))/(d/d**2) assuming d is positive. d**(9/2) Simplify ((o/o**(7/5))/o**(2/7))**(-7) assuming o is positive. o**(24/5) Simplify (u**0)**(-1/8)*(u/(u*(u*u**0)/u*u))**(1/5) assuming u is positive. u**(-1/5) Simplify h**(1/49)*h/(h/(h*h**(-37))) assuming h is positive. h**(-1763/49) Simplify (j**(-1)/j)/j**(2/13)*(j**5*j)/j*j**(-1) assuming j is positive. j**(24/13) Simplify m**5/m**(-8) assuming m is positive. m**13 Simplify u**(1/9)*u**(-3/5) assuming u is positive. u**(-22/45) Simplify w*w/(w*w**(-6)*w)*w**(5/2) assuming w is positive. w**(17/2) Simplify r/(r/(r*r**20)*r)*r**(-26) assuming r is positive. r**(-6) Simplify (w/((w/(w/(w/(w/w**(2/7)))*w))/w))**19/((w*w**(1/2)*w)/w*w)**(-44) assuming w is positive. w**(1131/7) Simplify (j/((j**(-7)*j)/j*j)*j)/j**0*(j**(-1/8)*j*j)/(j/((j/((j/(j**(-4/11)*j))/j)*j)/j*j)) assuming j is positive. j**(1013/88) Simplify (q/(q**(-5)*q)*q**(-2/3)*q*q*q)**(4/5) assuming q is positive. q**(88/15) Simplify ((c*c**1*c*c)/c)**(-1/2)/(c*c*c**(3/5)*c**(-6)*c) assuming c is positive. c**(9/10) Simplify (j*j**(2/3))**(9/4) assuming j is positive. j**(15/4) Simplify (((m**(-1/11)*m*m)/m)/m**6)**(5/7) assuming m is positive. m**(-40/11) Simplify (((n*n**10)/n)/n**3)**32 assuming n is positive. n**224 Simplify (l*((l*l*l**(-1/4)*l)/l)/l)**(1/37)*(l/(l*l**(1/2)*l))**(2/5) assuming l is positive. l**(-409/740) Simplify r*r**9*(r*r**(1/10))/r*r*(r**7*r)/(r*r**(-2)) assuming r is positive. r**(201/10) Simplify (x**0/(x**(-2/5)/x))/((x*x**5*x)/(x/(x/x**3))) assuming x is positive. x**(-13/5) Simplify ((d**0/d)/d)**(-31/5)/(d/d**1)**(-8) assuming d is positive. d**(62/5) Simplify (((z/z**(1/9))/z)/((z**(-1)*z)/z))**(-46) assuming z is positive. z**(-368/9) Simplify (n**5)**(-31) assuming n is positive. n**(-155) Simplify (l*l*l**(3/8)/l*l*l**(-2)*l)/((l**(2/3)*l)/l**0) assuming l is positive. l**(-7/24) Simplify ((i**(2/9)/i)**(-1/38))**17 assuming i is positive. i**(119/342) Simplify ((j/(j/((j*j**(2/9)*j)/j)))**(-3))**28 assuming j is positive. j**(-308/3) Simplify (q**(1/3)*q**(-1/30)*q*q)**(1/59) assuming q is positive. q**(23/590) Simplify b**(-3)*b*b*b**(-1)*b**(-1/7)*b**(2/3) assuming b is positive. b**(-31/21) Simplify w**38/w**(45/7) assuming w is positive. w**(221/7) Simplify ((w*w*w*w*w**2*w)**(20/11))**8 assuming w is positive. w**(1120/11) Simplify (v**(3/5)*v/v**(-14/9))**(1/10) assuming v is positive. v**(71/225) Simplify (v/v**(-3)*v/((v/v**3)/v))/((v*v**(2/9))/v**4) assuming v is positive. v**(97/9) Simplify ((q/(q**7*q))/q*q**(3/11))/((q*q/((q*q**8)/q))/q**2) assuming q is positive. q**(3/11) Simplify (g**1*g)**16*g*g/((g**(6/11)*g)/g)*g*g/g**(-2) assuming g is positive. g**(412/11) Simplify (x**(-8/3)*x**(-1))**23 assuming x is positive. x**(-253/3) Simplify i/(i**22*i)*i**3*i assuming i is positive. i**(-18) Simplify (s*s**(-2/13))/(s/s**(-3)) assuming s is positive. s**(-41/13) Simplify (p*p*p*p**(1/12)*p*p)**21 assuming p is positive. p**(427/4) Simplify (a/(((a**4/a)/a)/a)*a/a**(-6)*a)/(a*(a/(a*(a/(a/(a**(-1)/a))*a)/a))/a)**8 assuming a is positive. a**(-8) Simplify (a**17/a)/a**(1/13) assuming a is positive. a**(207/13) Simplify ((p*p/(p**(-1)/p*p*p))**(-1/41))**(-1/7) assuming p is positive. p**(2/287) Simplify ((p**(-2/19)*p)/p)/(p**(-5)*p*p)*((p**(-7)*p)/p)/p*p/p**(-1/3) assuming p is positive. p**(-215/57) Simplify (l/(l*(l/(l**5/l*l)*l)/l)*l*l**9)**(-6/25) assuming l is positive. l**(-84/25) Simplify (p*(p/p**22)/p)/p*p/(p**(-11)/p)*p assuming p is positive. p**(-8) Simplify (t/t**(2/7))/t**(9/5) assuming t is positive. t**(-38/35) Simplify x*x**(-47)*x/x**(-4/15) assuming x is positive. x**(-671/15) Simplify (c*(c**(3/8)/c)/c*c*c)/(c**(1/3)/c)*(c**(2/5)/c)**(-26) assuming c is positive. c**(2117/120) Simplify n**5/((n/((n/(n*n/(n**(1/4)/n)*n))/n*n))/n)*n**(-4)*n*n**(-7)*n assuming n is positive. n**(-27/4) Simplify (a**(1/4)/(a*(a**(-1)*a)/a))**(-13) assuming a is positive. a**(-13/4) Simplify (s/(s*s/(s*s**(-19/3)*s)))/s*s/s**21*s*s assuming s is positive. s**(-73/3) Simplify (x*x*x*x**0*x*x)/((((x**(-3/8)/x)/x)/x)/x)*x**2/x**(-2/9) assuming x is positive. x**(835/72) Simplify (b/(b/(b*b*b**(-1/2)*b))*b**(-2)/b)/(b**(-1/6)*b**(-6)) assuming b is positive. b**(17/3) Simplify (c**(-2/3)*c*c**4/c)/(c**(-1)*((c**(-1/4)/c*c)/c)/c*c) assuming c is positive. c**(67/12) Simplify x**(5/2)*(x*x**(-1/7))/x assuming x is positive. x**(33/14) Simplify (s/(s*s**(2/13))*s*s**(1/4))/(s**7*s*s*s**2) assuming s is positive. s**(-515/52) Simplify v**(1/6)/(v*v**8)*v**(-10)/v**(4/7) assuming v is positive. v**(-815/42) Simplify x*x**(-6)*x*(x/x**(-23))/x assuming x is positive. x**19 Simplify (p/(p/p**(-7)*p)*p)**(-28) assuming p is positive. p**196 Simplify o**6*o*o**(-6)*((o*o**6*o)/o)/o**(-6) assuming o is positive. o**14 Simplify (x**7*x*x/(x**(-7/4)*x*x))**(3/4) assuming x is positive. x**(105/16) Simplify (w/(w**(-1/6)/w))/w**(1/26) assuming w is positive. w**(83/39) Simplify f**(-1/3)/(f*f/f**(-5)*f*f) assuming f is positive. f**(-28/3) Simplify (((o**8*o)/o*o)/o*o)/(o/o**6)*((o/(o**6/o))/o)/o**0 assuming o is positive. o**9 Simplify (r**(1/3)*r**4)**9 assuming r is positive. r**39 Simplify (((h*h**(5/4)*h)/h)/((h/(h*h**(-2)*h))/h*h))/(h**(-11)*h*h*h/(h*h*h*h**(-1/9)*h)*h) assuming h is positive. h**(437/36) Simplify (t**(-8)/t)**(-2/15) assuming t is positive. t**(6/5) Simplify (q*q*q/(q/q**0))**44/(q**5/q**(6/11)) assuming q is positive. q**(919/11) Simplify y**(-10)*y**(-18)/y assuming y is positive. y**(-29) Simplify (((o*o*o**(-1)*o)/o*o*o*o)/o)**(-4/3) assuming o is positive. o**(-4) Simplify m**(-1/5)/m**(-5)*m**(1/8)*m*m*m**(-2) assuming m is positive. m**(197/40) Simplify (c**(-6/11)*c*c)**18 assuming c is positive. c**(288/11) Simplify h**1/h*(h/(h*h/(h*h**5*h*h)))/h assuming h is positive. h**6 Simplify v**12*v**(-8/7) assuming v is positive. v**(76/7) Simplify u**(3/5)*u**(1/18) assuming u is positive. u**(59/90) Simplify i/i**(-1/3)*i**(-2/15)*(i**(2/3))**(-13) assuming i is positive. i**(-112/15) Simplify (v*(v*v**2*v*v)/v)/v**(-6/19) assuming v is positive. v**(101/19) Simplify (((f*f/((f/(f*(f**(-2/17)/f)/f))/f))/f*f*f)/(((f*f**(1/9))/f)/f))/(f/(f*f**(1/4))*f)**(5/2) assuming f is positive. f**(1097/1224) Simplify (v/(v**(-9/5)*v))**(1/15) assuming v is positive. v**(3/25) Simplify ((o*o**(-9)*o*o*o*o)**(5/11))**(-40) assuming o is positive. o**(800/11) Simplify (w**(-2/3))**(-5/16) assuming w is positive. w**(5/24) Simplify b**(-2/3)*b**(-2/11) assuming b is positive. b**(-28/33) Simplify (z*z/(z/z**(-8))*z*z)/(z/z**24) assuming z is positive. z**18 Simplify (((s*s*s**(5/3))/s)/s)**41 assuming s is positive. s**(205/3) Simplify (q/((q/(q**(1/32)*q*q)*q)/q)*q)/q**(2/5) assuming q is positive. q**(421/160) Simplify (n/(n*n/(n/(n**1*n)))*(n*n**(-1))/n)**(-40) assuming n is positive. n**120 Simplify ((d**27*d)/d)**(-4/11) assuming d is positive. d**(-108/11) Simplify s**(4/5)/(s*s*s**(-9))*s**(2/3)*(s*s**(2/5)*s)/s
{ "pile_set_name": "DM Mathematics" }
9*y**3 + 9 wrt y? 1620*y**2 Suppose -402 = -2*x + 1090. Let i = 86 + -73. Find the third derivative of 8*k**3 + i*k**3 + 14*k**2 - 746*k + x*k wrt k. 126 Let w(x) = 11*x**2 + 7*x. Let a be w(-1). What is the second derivative of 14*c**4 - 2 + 13*c - 14*c**a - 7*c**4 - c**2 wrt c? -84*c**2 - 2 Let o(s) be the second derivative of -1/4*s**4 + s**2 + 0*s**5 + 2*s + 19/15*s**6 + 115/6*s**3 + 0. Find the second derivative of o(u) wrt u. 456*u**2 - 6 Suppose -5*f + 690 = 10*f. What is the derivative of 52*k - f - 61*k + 13*k + 75*k wrt k? 79 What is the second derivative of 1504802*b**3 - 49*b**2 - 24*b**2 - 1504798*b**3 - 2 + 234*b wrt b? 24*b - 146 Let t(b) = -2*b**2 - 13*b - 12. Let l be t(-5). What is the first derivative of c + 80 - c - 57*c**3 + 6*c**l wrt c? -153*c**2 Let j(c) be the second derivative of 1157*c**4/6 - 415*c**3/6 + c**2 + 536*c - 2. Find the second derivative of j(b) wrt b. 4628 What is the third derivative of 220*v**2 + 12 + 191*v**2 - v**4 - 681*v**3 - 11 + 3*v**2 + 2*v**4 wrt v? 24*v - 4086 Let v(i) be the second derivative of 10 + 0*i**6 + 0*i**7 - 2*i + 0*i**5 + 0*i**2 + 5/14*i**8 + 0*i**3 - 19/3*i**4. What is the third derivative of v(p) wrt p? 2400*p**3 Let z(f) be the third derivative of 0*f + 0 - 24*f**2 + 0*f**4 + 59/20*f**5 - 29/2*f**3. Find the first derivative of z(l) wrt l. 354*l Let u(w) be the second derivative of w + 1/2*w**3 + 5/3*w**4 + 36 + 53*w**2. Differentiate u(l) with respect to l. 40*l + 3 Suppose -2*k = 2*k - 432. Suppose -k*w + 107*w = -2. Differentiate -50*p**w + 102*p**2 - 71*p**2 + 20 wrt p. -38*p Let s(a) = 68*a + 82. Let z(b) = -12*b + 1105 + 78*b - 1022. Let m(i) = 3*s(i) - 2*z(i). Differentiate m(t) wrt t. 72 Let w(l) be the first derivative of -53/2*l**2 + 32 + 25/3*l**3 + l. What is the second derivative of w(h) wrt h? 50 Suppose -5*p + 5*d + 150 = 0, 5*p - 35 = d + 95. What is the first derivative of -p + 2 + 118*a**4 - 37*a**4 wrt a? 324*a**3 Let t be 69/21 - (-4)/(-14). Suppose 35*q = 12*q + 8027. What is the second derivative of 349 - q - 13*y**t + 3*y wrt y? -78*y Let m(z) be the first derivative of -1260*z**3 - 358*z**2 - 2225. What is the second derivative of m(j) wrt j? -7560 Let s be 29988/378 - ((-5)/3 - -1). What is the derivative of -4*u**3 + 134 + 4*u**3 - s + 50*u**4 wrt u? 200*u**3 Suppose -7*a = 118 - 132. Differentiate 0*f + 4*f - 4313 + 5*f**2 - 17*f**a + 4388 with respect to f. -24*f + 4 Let n(w) = -w**4 + w**3 - w**2 + w + 1. Let t(x) = -896*x**4 + 4*x**3 - 4*x**2 + 2102*x + 4. Let j(c) = 4*n(c) - t(c). Find the second derivative of j(d) wrt d. 10704*d**2 Find the third derivative of 21530*k**3 - 9 + 12 - 21655*k**3 + 217*k**2 - 2 wrt k. -750 Let r(a) be the second derivative of 1 + 1/6*a**3 + 5/42*a**7 - 49*a + 0*a**2 + 0*a**6 + 1/20*a**5 - 7/12*a**4. What is the third derivative of r(d) wrt d? 300*d**2 + 6 Let b(t) = t - 7. Let h(m) be the first derivative of 75*m**2/2 + 135*m - 71. Let j(y) = -10*b(y) + h(y). What is the first derivative of j(s) wrt s? 65 Let v(w) be the second derivative of 1643*w**3/6 - 934*w**2 + 5247*w. Differentiate v(y) with respect to y. 1643 Let f(i) be the second derivative of 153*i**5/20 - i**4/3 + 679*i**3/2 + 4282*i. What is the second derivative of f(z) wrt z? 918*z - 8 Let q(r) be the third derivative of 31*r**7/210 - r**5/15 - 21*r**4/2 + r**3/3 + 36*r**2 + r. What is the second derivative of q(s) wrt s? 372*s**2 - 8 Let c(y) = -4378*y**3 - 6*y**2 + 4595*y + 11. Let m(z) = -4378*z**3 - 5*z**2 + 4592*z + 9. Let u(a) = 5*c(a) - 6*m(a). Find the second derivative of u(d) wrt d. 26268*d Let m be 34/8 - (-7 + (-290)/(-40)). Differentiate -69*h**3 + 35*h**4 + 16 - 17*h**4 + 74*h**3 - 24*h**m with respect to h. -24*h**3 + 15*h**2 Suppose 91 = -0*m + m. Suppose -4*a + m = -41. What is the third derivative of -h**2 - 15*h**5 - 3*h**5 - 4*h**2 + a*h**2 wrt h? -1080*h**2 Let i = 52 + 93. What is the second derivative of i*g**2 - 12*g + 8*g - g**4 - 166*g**2 + 14 wrt g? -12*g**2 - 42 Let r(w) = 143*w**2 - 5*w + 86. Let i = -58 + 56. Let s(x) = -71*x**2 + 2*x - 42. Let h(y) = i*r(y) - 5*s(y). Find the first derivative of h(d) wrt d. 138*d Let k be (-128)/16*(-6)/16. Differentiate -70*v**k - 29 - 77 + 22 wrt v. -210*v**2 Differentiate -53*z - 7276*z**2 - 8647 - 17*z + 31*z + 39*z with respect to z. -14552*z Let m(v) be the third derivative of 0*v + 0*v**3 + 73*v**2 - 157/24*v**4 + 0 - 47/20*v**5. What is the second derivative of m(o) wrt o? -282 Let j(g) be the first derivative of 0*g**2 - 55 + 39*g + 83/3*g**3. What is the first derivative of j(u) wrt u? 166*u Let h(u) = u**3 + 16*u**2 - 2*u + 2. Let p be h(-7). Let i be 11 + -2 - (23 + -18). What is the derivative of i + 4*j**3 + p*j**2 - 457*j**2 wrt j? 12*j**2 Let k(m) = 251*m**4 + 3*m**2 + 4*m - 202. Let a(q) = -501*q**4 - 7*q**2 - 9*q + 406. Let s(h) = -2*a(h) - 5*k(h). What is the second derivative of s(c) wrt c? -3036*c**2 - 2 Let g(h) = 35*h**2 - 40*h - 2888. Let s(y) = 38*y**2 - 33*y - 2890. Let t(b) = -6*g(b) + 5*s(b). What is the derivative of t(u) wrt u? -40*u + 75 What is the first derivative of 13361 - 137*r**4 + 126*r**4 - 2401*r**2 + 2664*r**2 wrt r? -44*r**3 + 526*r Let b(v) = v**2. Let x(o) = 101*o**3 - 4*o**2 + 94. Let c be -8*1*(-5)/10. Let j(p) = c*b(p) + x(p). Differentiate j(t) wrt t. 303*t**2 Let q(a) be the first derivative of 729*a**4/2 - a**3/3 + 1904*a + 1486. Find the third derivative of q(u) wrt u. 8748 Let t(l) be the second derivative of 5*l**5 - 7*l**4/12 + l**3/2 + 166*l**2 - 3*l + 458. What is the second derivative of t(x) wrt x? 600*x - 14 Let q(o) be the second derivative of o**6/30 + 71*o**5/4 - 469*o**4/6 - 26*o + 19. Find the third derivative of q(x) wrt x. 24*x + 2130 Let v = -30 + 38. Let f be v/(-36) + (-80)/(-36). Differentiate 4*l - 4*l - 8 + 2116*l**2 - 2123*l**f with respect to l. -14*l Let y = -18359 - -18363. Let a(o) be the second derivative of 0 - 34*o + 0*o**3 + 13/2*o**2 - 1/3*o**y. Find the first derivative of a(l) wrt l. -8*l What is the second derivative of 4159*i**2 + 19989*i + 22586*i - 50800*i wrt i? 8318 Find the second derivative of 2 - 159*b - 435*b**5 + 418*b**5 + 424*b**5 wrt b. 8140*b**3 Let j be (-1504)/(-26) + 2/13. Let n = 60 - j. What is the first derivative of 1 + 21*v**3 - 15 - n*v**3 wrt v? 57*v**2 Let f(t) be the first derivative of 4109*t**3/3 + 2531*t - 1285. Differentiate f(c) wrt c. 8218*c Let o(q) = 7*q - 1. Let d(h) = 1127*h - 341. Let v(u) = 2*d(u) - 8*o(u). What is the derivative of v(z) wrt z? 2198 Let g(l) be the third derivative of 815*l**4/12 - 1636*l**3/3 + 27*l**2 - 126. What is the first derivative of g(s) wrt s? 1630 Let u(o) = 95*o**2 - 227*o - 238. Let g(r) = 67*r**2 - 151*r - 159. Let l(z) = -7*g(z) + 5*u(z). Differentiate l(k) with respect to k. 12*k - 78 Let l be 12 + -5 + 5/5. Find the third derivative of 1515*n + 2 - 4*n**6 + l*n**4 - 2 - 1558*n - n**2 wrt n. -480*n**3 + 192*n Suppose -p = -5*x + 28, 0 = 2*x - x + 3*p + 4. Suppose 7*m = 4*m + 3*s - 3, 5*s = 4*m + x. Differentiate 159*z**4 + m + 6 - 169*z**4 with respect to z. -40*z**3 Let d be (1 - 9 - -2) + 2. Let b be (-1)/3 + d + (-832)/(-12). What is the third derivative of u - 71*u**4 + 11*u**2 + b*u**4 - u wrt u? -144*u Let t be -1 - (-2 + 5 - 4). Suppose -3*o - 3 = t, 0 = -4*m + 3*o + 2*o + 5. Find the first derivative of -10 - 944*v + m + 919*v wrt v. -25 Let x(h) be the third derivative of -h**2 - 97/3*h**3 + 0*h**4 + 0*h + 11/120*h**6 - 11 - 3/20*h**5. Differentiate x(d) with respect to d. 33*d**2 - 18*d Let g(q) = -q + 1. Let b(c) = 49*c**2 + 35*c - 91. Let h(n) = b(n) + 6*g(n). Let s(m) be the first derivative of h(m). Differentiate s(u) with respect to u. 98 Let z(i) be the second derivative of -2*i**6/3 - i**4/6 + 1196*i**2 + 1312*i. What is the derivative of z(c) wrt c? -80*c**3 - 4*c Find the third derivative of 4406 + 1119*c**5 - 16*c**2 + 1247*c**5 + 32*c**2 - 14*c**2 wrt c. 141960*c**2 Let b be ((-330)/44)/(1*3/(-32)). Let f = -77 + b. What is the second derivative of -212*c**f + 418*c**3 - 27*c**4 - 206*c**3 - 23*c wrt c? -324*c**2 What is the second derivative of -178*w**2 + 522*w**2 + 5621*w + 274*w**3 - 175*w**2 + 33*w**3 - 180*w**2 wrt w? 1842*w - 22 Suppose 4*d = q - 130, 12*q - 10*q + 5*d - 299 = 0. Find the third derivative
{ "pile_set_name": "DM Mathematics" }
replacement from sbbhgg? 1/20 What is prob of picking 3 m when three letters picked without replacement from mtmmmtmtmmmmmt? 30/91 Calculate prob of picking 1 j and 1 f when two letters picked without replacement from fbbjabbibbe. 1/55 Calculate prob of picking 1 z, 1 j, 1 i, and 1 u when four letters picked without replacement from yzbjbiuiiiuyjjz. 16/455 Two letters picked without replacement from {t: 4, v: 3, n: 4, y: 2, m: 1, e: 1}. Give prob of picking 1 n and 1 v. 4/35 What is prob of picking 1 g, 1 e, and 1 f when three letters picked without replacement from uugef? 1/10 Three letters picked without replacement from ggggghhgghhhghgggg. What is prob of picking 3 h? 5/204 Three letters picked without replacement from yyyyyyyyyyyoyyyoyy. Give prob of picking 1 o and 2 y. 5/17 Four letters picked without replacement from {f: 1, b: 2, u: 1, x: 1, t: 1, w: 1}. Give prob of picking 1 b, 1 f, 1 u, and 1 x. 2/35 Two letters picked without replacement from {u: 1, d: 1, c: 4, t: 3, w: 6, i: 1}. Give prob of picking 1 u and 1 c. 1/30 Calculate prob of picking 1 h, 1 t, 1 f, and 1 g when four letters picked without replacement from {g: 1, h: 5, t: 3, f: 1, u: 3}. 3/143 Two letters picked without replacement from {q: 5, c: 7}. What is prob of picking 1 q and 1 c? 35/66 Four letters picked without replacement from {b: 6, f: 12}. Give prob of picking 4 b. 1/204 Four letters picked without replacement from nryyryynyynnyrnnnn. Give prob of picking 2 y and 2 n. 49/255 What is prob of picking 1 f and 1 l when two letters picked without replacement from lldflxfaxxf? 9/55 Two letters picked without replacement from eqqccccq. What is prob of picking 1 e and 1 c? 1/7 Two letters picked without replacement from ucpupjuuu. Give prob of picking 1 u and 1 p. 5/18 Two letters picked without replacement from {v: 10, k: 4}. Give prob of picking 2 k. 6/91 What is prob of picking 2 e and 2 w when four letters picked without replacement from {n: 5, w: 2, e: 10, j: 3}? 3/323 Two letters picked without replacement from {x: 9, d: 10}. Give prob of picking 2 d. 5/19 Three letters picked without replacement from {a: 1, m: 3, w: 5, g: 3, c: 8}. What is prob of picking 2 g and 1 c? 2/95 Four letters picked without replacement from rrwwwrkrrw. Give prob of picking 2 r and 2 w. 2/7 What is prob of picking 2 y and 1 v when three letters picked without replacement from vvyvvyv? 1/7 Two letters picked without replacement from xccecccxxxxxxsc. Give prob of picking 1 s and 1 c. 2/35 What is prob of picking 1 i and 1 g when two letters picked without replacement from gggi? 1/2 Two letters picked without replacement from mlmlqnmmllxm. Give prob of picking 1 l and 1 x. 2/33 Calculate prob of picking 2 v and 1 q when three letters picked without replacement from {a: 1, q: 1, z: 1, v: 2, x: 13, t: 2}. 1/1140 Three letters picked without replacement from {w: 1, k: 1, s: 4, t: 1, f: 1}. Give prob of picking 1 f, 1 k, and 1 t. 1/56 Calculate prob of picking 1 f, 1 a, and 1 x when three letters picked without replacement from {a: 5, f: 3, h: 3, y: 4, x: 3}. 15/272 Four letters picked without replacement from {k: 1, m: 2, z: 2}. Give prob of picking 2 m, 1 k, and 1 z. 2/5 Calculate prob of picking 1 e and 2 v when three letters picked without replacement from {e: 2, n: 4, v: 6}. 3/22 Calculate prob of picking 4 f when four letters picked without replacement from {e: 15, f: 5}. 1/969 What is prob of picking 2 h, 1 n, and 1 i when four letters picked without replacement from nnihddfdhdndhd? 9/1001 Two letters picked without replacement from ddvvdvvvvdvvvv. What is prob of picking 1 d and 1 v? 40/91 Calculate prob of picking 2 l and 2 o when four letters picked without replacement from llooo. 3/5 Calculate prob of picking 4 a when four letters picked without replacement from aaaa. 1 Calculate prob of picking 1 j and 1 m when two letters picked without replacement from qjqjgjgqqqgmqgmgqmqq. 9/190 Four letters picked without replacement from {t: 3, c: 7}. What is prob of picking 3 c and 1 t? 1/2 Three letters picked without replacement from wnnxjoonnnxnononn. Give prob of picking 1 w, 1 n, and 1 x. 9/340 Three letters picked without replacement from {v: 1, e: 1, i: 2, c: 1, x: 1, a: 1}. What is prob of picking 1 i, 1 v, and 1 c? 2/35 What is prob of picking 1 v and 3 j when four letters picked without replacement from {o: 1, h: 1, v: 2, u: 1, j: 5}? 2/21 What is prob of picking 1 a and 2 t when three letters picked without replacement from tatitiitia? 1/10 Three letters picked without replacement from fbnoubnonfnfnn. What is prob of picking 1 o, 1 f, and 1 b? 3/91 What is prob of picking 2 t and 1 x when three letters picked without replacement from {t: 7, f: 1, x: 2}? 7/20 What is prob of picking 1 l and 2 e when three letters picked without replacement from {e: 4, l: 5, b: 2}? 2/11 Two letters picked without replacement from {g: 3, l: 7}. Give prob of picking 2 g. 1/15 Four letters picked without replacement from {e: 4, v: 4, n: 12}. What is prob of picking 2 n and 2 e? 132/1615 Three letters picked without replacement from tbobttotb. What is prob of picking 1 b, 1 o, and 1 t? 2/7 Two letters picked without replacement from {u: 1, h: 9, a: 4}. What is prob of picking 1 h and 1 u? 9/91 What is prob of picking 1 x, 1 c, and 1 z when three letters picked without replacement from {q: 1, h: 2, c: 1, r: 2, z: 3, x: 3}? 9/220 Three letters picked without replacement from jjjjjojojj. Give prob of picking 1 j and 2 o. 1/15 Three letters picked without replacement from zzwiiilwik. Give prob of picking 1 k, 1 z, and 1 i. 1/15 What is prob of picking 1 b and 1 z when two letters picked without replacement from bazbbzzzzbz? 24/55 What is prob of picking 4 x when four letters picked without replacement from {x: 7}? 1 Three letters picked without replacement from ecbemcjeecejbe. Give prob of picking 1 j, 1 m, and 1 b. 1/91 What is prob of picking 1 a and 1 h when two letters picked without replacement from tbhar? 1/10 Four letters picked without replacement from {v: 2, x: 4, h: 2}. Give prob of picking 2 x and 2 v. 3/35 Two letters picked without replacement from fqfqofofqof. What is prob of picking 2 f? 2/11 Two letters picked without replacement from naiaa. Give prob of picking 1 a and 1 i. 3/10 Four letters picked without replacement from fqqqfsffqfqfqff. What is prob of picking 4 f? 2/39 Two letters picked without replacement from tccetcwecfccewetcttf. Give prob of picking 1 c and 1 w. 7/95 Three letters picked without replacement from ahbbojc. Give prob of picking 1 h, 1 a, and 1 b. 2/35 What is prob of picking 3 e when three letters picked without replacement from yeyyyyyeeyyyyy? 1/364 What is prob of picking 3 h and 1 b when four letters picked without replacement from {e: 1, b: 3, h: 3}? 3/35 Three letters picked without replacement from dccccd. Give prob of picking 1 d and 2 c. 3/5 Calculate prob of picking 2 z when two letters picked without replacement from {z: 4, j: 3}. 2/7 What is prob of picking 1 r and 2 d when three letters picked without replacement from hhaaiadxaaaarxaxd? 1/680 Calculate prob of picking 1 s and 1 g when two letters picked without replacement from {g: 4, s: 6}. 8/15 Calculate prob of picking 1 u and 1 m when two letters picked without replacement from ymzmygymhuhm. 2/33 Calculate prob of picking 2 h when two letters picked without replacement from hhhhh. 1 Four letters picked without replacement from {z: 8, u: 2, o: 8}. Give prob of picking 1 z, 1 o, and 2 u. 16/765 What is prob of picking 1 d and 1 h when two letters picked without replacement from {r: 6, a: 1, g: 1, m: 1, h: 1, d: 3}? 1/26 Two letters picked without replacement from tktktytbtktktatkttk. Give prob of picking 1 a and 1 y. 1/171 Four letters picked without replacement from jlllllll. Give prob of picking 4 l. 1/2 Three letters picked without replacement from ddgggdgddpddp. Give prob of picking 1 g and 2 p. 2/143 Two letters picked without replacement from {n: 5, s: 6, m: 4}. What is prob of picking 1 m and 1 n? 4/21 Two letters picked without replacement from {d: 3, m: 9}. Give prob of picking 2 m. 6/11 What is prob of picking 3 h when three letters picked without replacement from {p: 2, h: 3, t: 6, x: 3, y:
{ "pile_set_name": "DM Mathematics" }
9 + -231. Sort s, 3, -9 in ascending order. s, -9, 3 Let t be ((-9)/(-3) - -10)/((-1)/(-6)). Let n = t + -80. Put 4, -1, 5, n in ascending order. n, -1, 4, 5 Let o(t) = -t**3 - 4*t**2 + 4. Let m be o(-4). Let j be (-4016)/96 + (-2)/12. Let c = -37 - j. Put c, 2, m in descending order. c, m, 2 Let k = -49.27 + 45.27. Let a be ((-10)/(-8))/((-3)/(-12)). Put a, k, 2 in decreasing order. a, 2, k Let j = -1.589 - -1.7. Let v = j + 0.389. Put -5, v, -0.1 in increasing order. -5, -0.1, v Let c = 1225 - 1295.26. Let g = c + 71. Sort 3, -1, g in descending order. 3, g, -1 Suppose 2*n = -5*a, n + a - 185 = -182. Put -4, n, -5, -1 in ascending order. -5, -4, -1, n Let j = 1/3 + -1. Let f = 1139/6643 - 9/511. Let c = -4 + 2. Sort c, j, f. c, j, f Let m = -95 - -100. Let c(i) = -i**2 + 3*i + 4. Let y be c(3). Suppose 4*q = -13 + 5. Sort q, m, y. q, y, m Let d be 3/9*2*231/2. Let h = 81 - d. Sort h, -13, -3, -5 in increasing order. -13, -5, -3, h Let j be 10/18 + (0 - 1). Let o = 5 + -5.4. Sort -5, j, o in decreasing order. o, j, -5 Suppose -5*x + 1 - 21 = 0. Let t = -0.25 + -0.05. Let k = -573 - -573. Put t, x, k in increasing order. x, t, k Let v be (-1 + (-12)/8)*2. Sort -2/11, -90, v. -90, v, -2/11 Let n = 0.0494 - 0.2494. Let h be ((-4)/(-265))/(18/15). Let v = -179/1590 + h. Put n, v, -2/3 in descending order. v, n, -2/3 Let q = -404 - -403. Put q, 2, 4, 77 in decreasing order. 77, 4, 2, q Suppose 9*v - 10 = -v. Let y be (-2)/((-1)/(-2) - v). Sort y, 8, 2 in ascending order. 2, y, 8 Let r(h) = -h**3 + 5*h**2 - 3*h - 5. Let l be r(4). Let y be (-5 + l)/(6/(-4)). Let b = -66 + 61. Sort b, 3, y in ascending order. b, 3, y Let x = -1.2 - 2.8. Let f(t) = -t**3 + 28*t**2 - 27*t. Let v be f(1). Sort v, x, 0.2, -0.01 in decreasing order. 0.2, v, -0.01, x Let a be 324/12*2 + (-2)/(-2). Put 5, a, -4 in increasing order. -4, 5, a Suppose 5*i - 451 + 462 = 2*j, -5*j = i + 13. Let g(y) = -y**3 + 5*y**2 - y + 6. Let u be g(6). Sort u, -1, 1, j. u, j, -1, 1 Let t = -4.2 + 2.2. Let d = 8/13 + -114/143. Sort 0.4, t, d in decreasing order. 0.4, d, t Let t = -0.45 + 5.35. Let h = t + 0.1. Let g = 0.60665 + -1.40665. Put h, 0.4, g in decreasing order. h, 0.4, g Let r = -5371/17 - -316. Sort -0.1, -0.2, -5, r in descending order. r, -0.1, -0.2, -5 Let g(p) = -p**3 + 61*p**2 + 190*p + 129. Let a be g(64). Sort 20, a, -6, 3. -6, a, 3, 20 Suppose 2*v - 12 = 2. Let n = 6 - v. Put 0, -3, n in ascending order. -3, n, 0 Suppose -2*y = 2*b + 3*b - 13, -3*b + 13 = -4*y. Let x = -1368 + 1376. Put x, y, -5 in ascending order. -5, y, x Let d be (-3)/((-18)/(-26)) - (-72)/54. Suppose g - 2 = 4. Let w = g + -4. Sort d, w, 0. d, 0, w Let s(w) = w**2 - 4*w - 12. Let a(m) = -m**2 + 3*m + 13. Let z(c) = -2*a(c) - 3*s(c). Let h be z(9). Sort h, 1/4, -2. h, -2, 1/4 Let k = -0.06 - -0.06. Let q = -10.86 - -10. Let o = q - 0.14. Put o, 3/2, k in descending order. 3/2, k, o Let r(n) = -23*n - 166. Let q be r(-7). Put -2, 14, q in decreasing order. 14, -2, q Let u = -2.4 + -0.6. Let n be ((-3)/(-12))/((-14)/(-8)). Suppose 154 = 44*o - 22. Put u, o, n in descending order. o, n, u Let b be (-608)/(-16) + -1*4. Let s be (-2)/(-11) - b/187. Sort 5, -1, s in ascending order. -1, s, 5 Let z(o) = o + 16. Let x(t) = 4*t + 49. Let f(y) = -3*x(y) + 8*z(y). Let r be f(-5). Sort r, 15, 3. r, 3, 15 Let o(b) = -21*b - 164. Let z be o(-8). Suppose 4*u - j - j = 20, 0 = -5*u + 2*j + 25. Let t be (u + -2)/(6/z). Sort t, 3, 0. 0, t, 3 Let v(p) = p**3 - 11*p**2 + 27*p - 171. Let s be v(10). Sort -3, 3, s, 104 in descending order. 104, 3, s, -3 Suppose 0 = 9*d + 21 - 30. Put 9, 2, -1, d in decreasing order. 9, 2, d, -1 Let n = -7.84 - -0.34. Let g = 7 + n. Let f = -0.12 + -0.08. Put f, g, -2 in decreasing order. f, g, -2 Suppose -66 = -4*s + 15*s. Put 2, 4, s in ascending order. s, 2, 4 Let y = -7/23 + 12/115. Sort y, 14, 4, -3/2. -3/2, y, 4, 14 Let g = -0.342 - 4.634. Let a = 0.024 - g. Put -4, 2, -0.2, a in descending order. a, 2, -0.2, -4 Let l = 25.63 - 0.63. Let g = 28 - l. Sort g, 5, 4/7 in increasing order. 4/7, g, 5 Suppose -24*l = -28*l - 4. Sort -34, l, 3 in descending order. 3, l, -34 Let z = 395 + -395. Put 6, 1, z, -5 in ascending order. -5, z, 1, 6 Let y be (-11)/10 - (-2)/(-5). Let q = -3.8977 + -0.1023. Let d(z) = -z**3 + 6*z**2 - 5*z + 6. Let i be d(4). Sort q, y, i. q, y, i Suppose 428 - 80 = -4*l. Let t = l + 88. Sort 2, t, -3 in increasing order. -3, t, 2 Suppose 10 = 3*b - k, -7*k + 2 = 3*b - 12*k. Put -4, -24, b in ascending order. -24, -4, b Let k = -3 - -2.7. Let l = 16 + -34. Let v be 4/(-22)*(-9)/l. Put -0.1, k, v in ascending order. k, -0.1, v Let s = 91/20 + -547/140. Let w = s + -1/7. Put w, -2/19, -5 in increasing order. -5, -2/19, w Suppose 0 = 16*h + h + 136. Suppose f - 5*m - 14 = 4*f, f = -2*m - 6. Put -4, f, h, 4 in descending order. 4, f, -4, h Suppose 0 = 4*g + 3*f - 5, 2*g + 0*f - 5*f + 17 = 0. Let d = 177 - 173. Put -11, d, g, 2 in descending order. d, 2, g, -11 Let o = 1116 + -1092. Put o, -5, 0 in ascending order. -5, 0, o Suppose 0 = -3*l + r - 28, 4 = 5*l - 3*l + 5*r. Let j(u) = u**3 + 8*u**2 - u - 10. Let n be j(l). Let q = -92 - -88. Sort 4, n, q in descending order. 4, n, q Let a = 4 + 35. Suppose -2*q + a = 27. Sort q, -2, -2/7 in ascending order. -2, -2/7, q Let k = 2 + -6. Let n be (8/6)/(-2 + 21/9). Sort n, k, 3. k, 3, n Let m = -0.96 + -0.04. Let z = -15/8 - -13/8. Sort z, m, -0.1. m, z, -0.1 Suppose -10 = -i - 3*b, 2*i + 2*b + 0*b - 8 = 0. Let y = i - -1. Let n be (-81)/6*16/(-12). Put y, n, 3 in descending order. n, 3, y Let o = -0.055 + 1.055. Let s be (7/(-14))/((-2)/(-4)). Put 0, s, o in decreasing order. o, 0, s Suppose 2*s + 32 - 42 = 0. Let m be s/(-5) - (0 - -7). Sort -2, -4, m. m, -4, -2 Suppose -2*g - 2*p = 16, 2*p = -p - 12. Let w = 1 - 3. Let o(h) = h**2 + 5*h + 3. Let q be o(-3). Sort g, w, q in decreasing order. w, q, g Let b = -297 + 293. Let p(s) = s**3 + 5*s**2 - 7*s - 1. Let i be p(-6). Let t = -8 - -5. Sort i, b, t in descending order. i, t, b Let s = -69 + 69.066. Let g = 5.034 + s. Let t = 0.1 - g. Put -4/9, -2/3, t in descending order. -4/9, -2/3, t Let o = 356 + -248. Let f = -108 + o. Put -2, f, 2/7, 2 in decreasing order. 2, 2/7, f, -2 Let u be 1/(-12)*(-1 + -1). Let s be 369/27 + -2 - 13. Put 18, s, u in increasing order. s, u, 18 Let l = 2.212 - 2.912. Put -4, 5, l, -8 in descending order. 5, l, -4, -8 Let o = -3.6 + 3.2. Let p = 317/110 - 27/10. Sort 0, p, o in ascending order. o, 0, p Let t be ((-1)/3 - -2)*3. Let s(i) = i**3 - 6*i**2 + 6*i - 5. Let w be s(5). Let o be 2 - 1 - -4*18/24. Sort w, t, o. w, o, t Let t(d) = d**3 + 3*d**2 + 2*d + 2. Let x be t(-3). Let y be (1/(-2))/(x/8). Let b be -2 - (12/2)/2. Sort b, -2, y in ascending order. b, -2, y Let v = -280 + 279.8. Sort 11, -5, v in increasing order. -5, v, 11 Let p = -0.02 + 0.11. Let a = -8.91 - -6. Let k = a - p. Put k, 2, -5 in ascending order. -5, k, 2 Let y = -291 - -255. Sort 0.5, y, -1/3 in increasing order. y, -1/3, 0.5 Let m = 897 - 896. Let g = -0.34 - 0.06. Sort m, 0, g in increasing order. g, 0, m Suppose -306 = -18*w - 108. Sort 3, -3, w. -3, 3, w Suppose 17 = 2*p + 9. Let i be (p/36)/(8/36). Put i, -5, -2 in decreasing order. i, -2, -5 Let l(h) = 10*h - 75. Let d be l(8). Put 16, 0.4, d in decreasing order. 16, d, 0.4 Let n be ((-216)/36)/(2/12). Put -4, -2, n in decreasing order. -2, -4, n Let i be (-30)/(-63) + (-7)/21. Let w = 13 + -12.81. Let v = w - 0.09. Sort 1/5, v, i in decreasing order. 1/5, i, v Let l = -90.43 - -90. Let t = 0.18 + l. Let a = t + 2.25. Sort -1, a, -4/7 in decreasing order. a, -4/7, -1 Let b = 73 + -43. Let d be 75/b*(-3)/10. Sort d, 1.6, -3/2 in descending order. 1.6, d, -3/2 Suppose 3*x = 11*r - 7*r, -2*r - x = 0. Let u = 0.2 - 0.11. Put r, u, 0.2 in descending order. 0.2, u, r Let x be 0/7*(55/(-15))/11. Let k(y) = -y**3 + 3*y**2 + y. Let c be k(4). Put x, c, 3 in increasing order. c, x, 3 Let d be (-3)/3 - 5/(-5). Suppose -36 = x - 2*h + 4*h, d = 2*x - h + 47. Let j be x/(-4) - 3/2. Sort 0, j, 4. 0, 4, j Let n be ((-3)/9)/(3/(-27)). Suppose -2 = -n*i + 5*s, 2 = -2*i + s + 8. Let v(l) = -18*l + 16. Let z be v(1). Sort 5, z, i. z, i, 5 Suppose -9 = -0*u + 3*u, -4*h = 4*u + 28. Suppose -2*o + 9 = -b, 4*b + 3 + 1 = 0. Suppose 3*c - 19
{ "pile_set_name": "DM Mathematics" }
divided by 2. 1 Calculate the remainder when 57 is divided by 5. 2 What is the remainder when 789 is divided by 88? 85 Calculate the remainder when 1023 is divided by 16. 15 Calculate the remainder when 934 is divided by 156. 154 What is the remainder when 245 is divided by 50? 45 What is the remainder when 394 is divided by 100? 94 What is the remainder when 245 is divided by 26? 11 What is the remainder when 1457 is divided by 485? 2 What is the remainder when 1475 is divided by 41? 40 What is the remainder when 601 is divided by 142? 33 Calculate the remainder when 150 is divided by 11. 7 What is the remainder when 19724 is divided by 9? 5 What is the remainder when 215 is divided by 12? 11 Calculate the remainder when 2795 is divided by 14. 9 What is the remainder when 707 is divided by 27? 5 Calculate the remainder when 490 is divided by 287. 203 What is the remainder when 13938 is divided by 85? 83 Calculate the remainder when 308 is divided by 26. 22 Calculate the remainder when 120 is divided by 36. 12 Calculate the remainder when 140 is divided by 36. 32 Calculate the remainder when 43 is divided by 10. 3 Calculate the remainder when 240 is divided by 85. 70 Calculate the remainder when 4154 is divided by 11. 7 What is the remainder when 191 is divided by 108? 83 What is the remainder when 1866 is divided by 17? 13 What is the remainder when 263 is divided by 43? 5 What is the remainder when 422 is divided by 53? 51 Calculate the remainder when 137 is divided by 47. 43 What is the remainder when 1879 is divided by 45? 34 What is the remainder when 108 is divided by 28? 24 Calculate the remainder when 660 is divided by 201. 57 Calculate the remainder when 68 is divided by 8. 4 Calculate the remainder when 55 is divided by 11. 0 Calculate the remainder when 273 is divided by 28. 21 Calculate the remainder when 266 is divided by 47. 31 Calculate the remainder when 8035 is divided by 41. 40 What is the remainder when 444 is divided by 10? 4 Calculate the remainder when 1902 is divided by 1900. 2 Calculate the remainder when 1684 is divided by 141. 133 What is the remainder when 163 is divided by 56? 51 What is the remainder when 274 is divided by 55? 54 Calculate the remainder when 105 is divided by 38. 29 What is the remainder when 33 is divided by 4? 1 Calculate the remainder when 93 is divided by 10. 3 What is the remainder when 4136 is divided by 22? 0 What is the remainder when 12860 is divided by 192? 188 What is the remainder when 588 is divided by 5? 3 What is the remainder when 41 is divided by 26? 15 Calculate the remainder when 239 is divided by 48. 47 What is the remainder when 713 is divided by 35? 13 Calculate the remainder when 547 is divided by 29. 25 Calculate the remainder when 1507 is divided by 10. 7 Calculate the remainder when 11002 is divided by 131. 129 What is the remainder when 525 is divided by 32? 13 What is the remainder when 5386 is divided by 55? 51 Calculate the remainder when 329 is divided by 70. 49 Calculate the remainder when 532 is divided by 15. 7 Calculate the remainder when 5234 is divided by 54. 50 What is the remainder when 357 is divided by 43? 13 Calculate the remainder when 546 is divided by 107. 11 Calculate the remainder when 490 is divided by 62. 56 What is the remainder when 101 is divided by 34? 33 What is the remainder when 42 is divided by 29? 13 Calculate the remainder when 699 is divided by 50. 49 What is the remainder when 259 is divided by 177? 82 What is the remainder when 436 is divided by 23? 22 What is the remainder when 3987 is divided by 87? 72 Calculate the remainder when 1209 is divided by 55. 54 What is the remainder when 148 is divided by 31? 24 Calculate the remainder when 758 is divided by 5. 3 What is the remainder when 123 is divided by 109? 14 What is the remainder when 132 is divided by 19? 18 What is the remainder when 19276 is divided by 9? 7 Calculate the remainder when 141 is divided by 36. 33 Calculate the remainder when 55 is divided by 35. 20 What is the remainder when 66 is divided by 23? 20 Calculate the remainder when 7157 is divided by 42. 17 Calculate the remainder when 302 is divided by 187. 115 What is the remainder when 138 is divided by 20? 18 Calculate the remainder when 196 is divided by 22. 20 Calculate the remainder when 147 is divided by 30. 27 Calculate the remainder when 36 is divided by 13. 10 Calculate the remainder when 168 is divided by 13. 12 Calculate the remainder when 477 is divided by 433. 44 Calculate the remainder when 262 is divided by 67. 61 Calculate the remainder when 141 is divided by 22. 9 What is the remainder when 69 is divided by 55? 14 Calculate the remainder when 114 is divided by 30. 24 Calculate the remainder when 1266 is divided by 44. 34 Calculate the remainder when 396 is divided by 85. 56 Calculate the remainder when 2662 is divided by 26. 10 Calculate the remainder when 163 is divided by 54. 1 Calculate the remainder when 1065 is divided by 21. 15 Calculate the remainder when 2878 is divided by 40. 38 Calculate the remainder when 1277 is divided by 10. 7 Calculate the remainder when 44 is divided by 12. 8 What is the remainder when 481 is divided by 28? 5 What is the remainder when 611 is divided by 50? 11 What is the remainder when 2380 is divided by 773? 61 What is the remainder when 146 is divided by 22? 14 What is the remainder when 396 is divided by 395? 1 Calculate the remainder when 120 is divided by 59. 2 Calculate the remainder when 2271 is divided by 65. 61 Calculate the remainder when 7773 is divided by 554. 17 What is the remainder when 221 is divided by 56? 53 Calculate the remainder when 1024 is divided by 19. 17 What is the remainder when 39 is divided by 12? 3 What is the remainder when 2531 is divided by 291? 203 What is the remainder when 3115 is divided by 56? 35 Calculate the remainder when 277 is divided by 134. 9 What is the remainder when 18636 is divided by 4656? 12 What is the remainder when 7967 is divided by 173? 9 What is the remainder when 112 is divided by 34? 10 What is the remainder when 24306 is divided by 85? 81 Calculate the remainder when 271 is divided by 55. 51 What is the remainder when 3275 is divided by 182? 181 Calculate the remainder when 249 is divided by 79. 12 Calculate the remainder when 62 is divided by 34. 28 Calculate the remainder when 80 is divided by 21. 17 Calculate the remainder when 2472 is divided by 21. 15 Calculate the remainder when 639 is divided by 58. 1 Calculate the remainder when 726 is divided by 14. 12 What is the remainder when 59 is divided by 50? 9 Calculate the remainder when 35 is divided by 12. 11 What is the remainder when 208 is divided by 187? 21 What is the remainder when 382 is divided by 79? 66 Calculate the remainder when 247 is divided by 25. 22 What is the remainder when 1557 is divided by 65? 62 What is the remainder when 4209 is divided by 13? 10 What is the remainder when 4378 is divided by 13? 10 Calculate the remainder when 253 is divided by 51. 49 What is the remainder when 86 is divided by 15? 11 What is the remainder when 5766 is divided by 199? 194 What is the remainder when 10112 is divided by 1264? 0 What is the remainder when 3429 is divided by 33? 30 Calculate the remainder when 1441 is divided by 39. 37 What is the remainder when 116 is divided by 60? 56 What is the remainder when 40648 is divided by 50? 48 Calculate the remainder when 438 is divided by 5. 3 What is the remainder when 40 is divided by 11? 7 Calculate the remainder when 355 is divided by 102. 49 Calculate the remainder when 1473 is divided by 472. 57 Calculate the remainder when 167 is divided by 28. 27 What is the remainder when 618 is divided by 148? 26 What is the remainder when 155 is divided by 87? 68 What is the remainder when 171 is divided by 16? 11 Calculate the remainder when 2163 is divided by 34. 21 What is the remainder when 12148 is divided by 248? 244 Calculate the remainder when 593 is divided by 198. 197 Calculate the remainder when 88 is divided by 48. 40 What is the remainder when 4534 is divided by 56? 54 Calculate the remainder when 1511 is divided by 28. 27 What is the remainder when 200 is divided by 51? 47 What is the remainder
{ "pile_set_name": "DM Mathematics" }
004635? 0 What is the tens digit of 257143641? 4 What is the billions digit of 1908589476? 1 What is the tens digit of 222515107? 0 What is the millions digit of 78499619? 8 What is the ten thousands digit of 3980188632? 8 What is the hundreds digit of 28126583? 5 What is the hundreds digit of 138163531? 5 What is the hundred thousands digit of 75771291? 7 What is the thousands digit of 34502755? 2 What is the units digit of 5830788501? 1 What is the thousands digit of 23765552? 5 What is the units digit of 1602964494? 4 What is the ten thousands digit of 2107065710? 6 What is the hundreds digit of 39513363? 3 What is the hundred thousands digit of 110330775? 3 What is the tens digit of 224439100? 0 What is the tens digit of 267154323? 2 What is the units digit of 413702246? 6 What is the billions digit of 8182025089? 8 What is the ten thousands digit of 20055197? 5 What is the tens digit of 18517951? 5 What is the units digit of 114205417? 7 What is the units digit of 8764572? 2 What is the ten millions digit of 38157583? 3 What is the ten thousands digit of 15152598? 5 What is the hundreds digit of 274632545? 5 What is the hundred thousands digit of 196631246? 6 What is the units digit of 2396357803? 3 What is the hundred thousands digit of 2264066569? 0 What is the millions digit of 2666313? 2 What is the ten thousands digit of 233384801? 8 What is the thousands digit of 267140296? 0 What is the hundred thousands digit of 812354096? 3 What is the hundred millions digit of 313956693? 3 What is the hundreds digit of 1583461031? 0 What is the ten thousands digit of 1918947163? 4 What is the millions digit of 89071721? 9 What is the thousands digit of 169432005? 2 What is the ten thousands digit of 396413791? 1 What is the hundreds digit of 1020999973? 9 What is the tens digit of 68859399? 9 What is the hundred thousands digit of 1395234434? 2 What is the millions digit of 235800712? 5 What is the tens digit of 2124113257? 5 What is the hundred millions digit of 126586672? 1 What is the units digit of 2127038? 8 What is the tens digit of 2440421377? 7 What is the tens digit of 607414659? 5 What is the units digit of 126965402? 2 What is the hundreds digit of 100527036? 0 What is the hundred thousands digit of 287858944? 8 What is the units digit of 1472105801? 1 What is the tens digit of 79755402? 0 What is the tens digit of 18009655? 5 What is the millions digit of 543531240? 3 What is the ten millions digit of 1291667481? 9 What is the millions digit of 198509196? 8 What is the hundred millions digit of 1264546930? 2 What is the ten thousands digit of 14207547? 0 What is the thousands digit of 639283176? 3 What is the hundreds digit of 404815232? 2 What is the thousands digit of 464246344? 6 What is the units digit of 106715793? 3 What is the hundreds digit of 2206407? 4 What is the billions digit of 1806624761? 1 What is the thousands digit of 58122240? 2 What is the ten millions digit of 549150189? 4 What is the hundreds digit of 3279524827? 8 What is the hundred thousands digit of 487086110? 0 What is the billions digit of 1923624137? 1 What is the units digit of 1713503299? 9 What is the tens digit of 6916118638? 3 What is the hundred millions digit of 295870801? 2 What is the tens digit of 751726254? 5 What is the ten thousands digit of 39488928? 8 What is the hundred thousands digit of 37219087? 2 What is the hundred millions digit of 179017044? 1 What is the hundred thousands digit of 723812689? 8 What is the hundreds digit of 741512451? 4 What is the thousands digit of 15769783? 9 What is the hundred thousands digit of 118917627? 9 What is the millions digit of 2891231677? 1 What is the tens digit of 48516942? 4 What is the tens digit of 4697299510? 1 What is the tens digit of 165782262? 6 What is the millions digit of 2013441932? 3 What is the hundreds digit of 154086541? 5 What is the billions digit of 5095187007? 5 What is the ten millions digit of 228415093? 2 What is the hundreds digit of 1439720597? 5 What is the ten millions digit of 2193524556? 9 What is the thousands digit of 8591060? 1 What is the ten millions digit of 45475959? 4 What is the billions digit of 3166172438? 3 What is the units digit of 2782993676? 6 What is the units digit of 2383724? 4 What is the ten millions digit of 296179448? 9 What is the hundred thousands digit of 72847543? 8 What is the ten millions digit of 1869394357? 6 What is the tens digit of 892087562? 6 What is the hundred thousands digit of 174966366? 9 What is the hundred millions digit of 7384835209? 3 What is the units digit of 2998497549? 9 What is the hundred millions digit of 4911579901? 9 What is the thousands digit of 59561883? 1 What is the hundred millions digit of 599681240? 5 What is the hundreds digit of 26705620? 6 What is the ten thousands digit of 54649909? 4 What is the millions digit of 44779352? 4 What is the hundred millions digit of 245506658? 2 What is the hundred thousands digit of 4505172533? 1 What is the units digit of 21047185? 5 What is the hundred millions digit of 880513112? 8 What is the hundred millions digit of 117227110? 1 What is the hundreds digit of 1273196970? 9 What is the tens digit of 1475962399? 9 What is the billions digit of 9252794851? 9 What is the thousands digit of 50938482? 8 What is the ten millions digit of 77176127? 7 What is the hundred millions digit of 162078732? 1 What is the ten millions digit of 1411449220? 1 What is the ten thousands digit of 236259268? 5 What is the ten millions digit of 68010464? 6 What is the ten thousands digit of 172374853? 7 What is the thousands digit of 3006774? 6 What is the hundreds digit of 171850555? 5 What is the ten millions digit of 5276072230? 7 What is the millions digit of 61602133? 1 What is the ten thousands digit of 128562318? 6 What is the hundred thousands digit of 615966677? 9 What is the tens digit of 59086641? 4 What is the ten millions digit of 6485960002? 8 What is the ten millions digit of 71437474? 7 What is the hundred millions digit of 1966314822? 9 What is the hundreds digit of 5082011338? 3 What is the hundreds digit of 56335250? 2 What is the hundred thousands digit of 1910125420? 1 What is the millions digit of 6457453389? 7 What is the thousands digit of 570927575? 7 What is the hundred millions digit of 109884760? 1 What is the tens digit of 146359049? 4 What is the tens digit of 3447042468? 6 What is the thousands digit of 91579941? 9 What is the units digit of 2501218606? 6 What is the hundreds digit of 740634100? 1 What is the thousands digit of 4059923799? 3 What is the hundreds digit of 207952644? 6 What is the hundreds digit of 845627654? 6 What is the hundred millions digit of 2949686372? 9 What is the ten millions digit of 1639394217? 3 What is the hundred thousands digit of 552272204? 2 What is the units digit of 110506341? 1 What is the ten millions digit of 51423795? 5 What is the hundred millions digit of 6073123617? 0 What is the ten millions digit of 1469006568? 6 What is the millions digit of 1441693? 1 What is the hundreds digit of 158439247? 2 What is the hundred thousands digit of 13449894? 4 What is the hundred thousands digit of 505620143? 6 What is the ten thousands digit of 648649802? 4 What is the ten thousands digit of 180119410? 1 What is the hundred millions digit of 353468266? 3 What is the tens digit of 155620506? 0 What is the millions digit of 68510280? 8 What is the billions digit of 6930145648? 6 What is the thousands digit of 1285186634? 6 What is the units digit of 719359880? 0 What is the ten thousands digit of 5918610807? 1 What is the units digit of 4823175318? 8 What is the ten millions digit of 873917197? 7 What is the tens digit of 1181880614? 1 What is the ten thousands digit of 4311546234? 4 What is the hundreds digit of 920428236? 2 What is the units digit of 1737481292? 2 What is the hundred millions digit of 1893925796? 8 What is the hundreds digit of 4859588420? 4 What is the thousands digit of 2290923893? 3 What is the thousands digit of 18253132? 3 What is the ten millions digit of 94515512? 9 What is the hundred thousands digit of 68597245? 5 What is the ten millions digit of 159934934? 5 What is the hundred thousands digit of 92
{ "pile_set_name": "DM Mathematics" }
ors of 9295. 5, 11, 13 List the prime factors of 1532. 2, 383 List the prime factors of 1179. 3, 131 What are the prime factors of 32215? 5, 17, 379 What are the prime factors of 1563? 3, 521 List the prime factors of 35287. 7, 71 What are the prime factors of 11316? 2, 3, 23, 41 What are the prime factors of 4192? 2, 131 What are the prime factors of 139? 139 List the prime factors of 10876. 2, 2719 What are the prime factors of 19719? 3, 7, 313 List the prime factors of 86300. 2, 5, 863 List the prime factors of 20945. 5, 59, 71 List the prime factors of 9206. 2, 4603 List the prime factors of 12641. 12641 List the prime factors of 14413. 7, 29, 71 List the prime factors of 1402. 2, 701 List the prime factors of 6316. 2, 1579 What are the prime factors of 2077? 31, 67 What are the prime factors of 2350? 2, 5, 47 What are the prime factors of 5698? 2, 7, 11, 37 What are the prime factors of 1267? 7, 181 What are the prime factors of 83185? 5, 127, 131 List the prime factors of 3688. 2, 461 What are the prime factors of 65395? 5, 11, 29, 41 List the prime factors of 872. 2, 109 List the prime factors of 2519. 11, 229 What are the prime factors of 2640? 2, 3, 5, 11 List the prime factors of 24043. 24043 What are the prime factors of 55? 5, 11 What are the prime factors of 4911? 3, 1637 What are the prime factors of 57057? 3, 7, 11, 13, 19 What are the prime factors of 58808? 2, 7351 What are the prime factors of 3042? 2, 3, 13 List the prime factors of 17458. 2, 7, 29, 43 List the prime factors of 13735. 5, 41, 67 What are the prime factors of 14403? 3, 4801 List the prime factors of 19836. 2, 3, 19, 29 List the prime factors of 2139. 3, 23, 31 List the prime factors of 3419. 13, 263 List the prime factors of 5847. 3, 1949 What are the prime factors of 60505? 5, 12101 What are the prime factors of 2086? 2, 7, 149 What are the prime factors of 95696? 2, 5981 List the prime factors of 971. 971 List the prime factors of 5236. 2, 7, 11, 17 List the prime factors of 1816. 2, 227 What are the prime factors of 196? 2, 7 What are the prime factors of 872? 2, 109 What are the prime factors of 18233? 18233 What are the prime factors of 19022? 2, 9511 What are the prime factors of 2815? 5, 563 List the prime factors of 30. 2, 3, 5 List the prime factors of 761. 761 What are the prime factors of 50961? 3, 16987 List the prime factors of 1721. 1721 What are the prime factors of 103193? 37, 2789 List the prime factors of 5908. 2, 7, 211 What are the prime factors of 2804? 2, 701 List the prime factors of 1499. 1499 What are the prime factors of 102125? 5, 19, 43 What are the prime factors of 22689? 3, 2521 List the prime factors of 690. 2, 3, 5, 23 What are the prime factors of 3749? 23, 163 What are the prime factors of 41468? 2, 7, 1481 What are the prime factors of 1561? 7, 223 What are the prime factors of 4487? 7, 641 List the prime factors of 1558. 2, 19, 41 List the prime factors of 5131. 7, 733 What are the prime factors of 1116? 2, 3, 31 List the prime factors of 3830. 2, 5, 383 List the prime factors of 2634. 2, 3, 439 What are the prime factors of 2206? 2, 1103 What are the prime factors of 9188? 2, 2297 List the prime factors of 3244. 2, 811 List the prime factors of 25194. 2, 3, 13, 17, 19 List the prime factors of 19905. 3, 5, 1327 List the prime factors of 83521. 17 What are the prime factors of 8969? 8969 List the prime factors of 121298. 2, 60649 What are the prime factors of 382? 2, 191 What are the prime factors of 3756? 2, 3, 313 What are the prime factors of 26? 2, 13 What are the prime factors of 40793? 19, 113 List the prime factors of 10683. 3, 1187 What are the prime factors of 8186? 2, 4093 List the prime factors of 34027. 7, 4861 List the prime factors of 82189. 82189 List the prime factors of 396. 2, 3, 11 What are the prime factors of 103082? 2, 7, 37, 199 List the prime factors of 21025. 5, 29 What are the prime factors of 269? 269 List the prime factors of 16929. 3, 11, 19 What are the prime factors of 9624? 2, 3, 401 What are the prime factors of 4609? 11, 419 List the prime factors of 21252. 2, 3, 7, 11, 23 List the prime factors of 6899. 6899 List the prime factors of 10912. 2, 11, 31 List the prime factors of 901. 17, 53 List the prime factors of 103183. 103183 List the prime factors of 11794. 2, 5897 What are the prime factors of 7213? 7213 List the prime factors of 82653. 3, 27551 List the prime factors of 4278. 2, 3, 23, 31 What are the prime factors of 1342? 2, 11, 61 List the prime factors of 551. 19, 29 What are the prime factors of 2037? 3, 7, 97 List the prime factors of 12547. 12547 What are the prime factors of 7193? 7193 What are the prime factors of 8199? 3, 911 List the prime factors of 2010. 2, 3, 5, 67 List the prime factors of 207. 3, 23 What are the prime factors of 25274? 2, 12637 What are the prime factors of 51425? 5, 11, 17 What are the prime factors of 116? 2, 29 What are the prime factors of 291? 3, 97 What are the prime factors of 41540? 2, 5, 31, 67 List the prime factors of 11353. 11353 What are the prime factors of 30592? 2, 239 What are the prime factors of 21672? 2, 3, 7, 43 List the prime factors of 235. 5, 47 What are the prime factors of 1104? 2, 3, 23 List the prime factors of 381. 3, 127 List the prime factors of 17819. 103, 173 List the prime factors of 146667. 3, 48889 List the prime factors of 4623. 3, 23, 67 What are the prime factors of 5774? 2, 2887 List the prime factors of 12264. 2, 3, 7, 73 What are the prime factors of 1875? 3, 5 List the prime factors of 1055. 5, 211 List the prime factors of 10329. 3, 11, 313 What are the prime factors of 40159? 7, 5737 What are the prime factors of 1843? 19, 97 List the prime factors of 20303. 79, 257 What are the prime factors of 65848? 2, 8231 What are the prime factors of 1088? 2, 17 List the prime factors of 3984. 2, 3, 83 What are the prime factors of 1805? 5, 19 What are the prime factors of 295? 5, 59 What are the prime factors of 320? 2, 5 List the prime factors of 31554. 2, 3, 1753 What are the prime factors of 22325? 5, 19, 47 What are the prime factors of 2186? 2, 1093 List the prime factors of 7873. 7873 List the prime factors of 987. 3, 7, 47 List the prime factors of 125461. 7, 17923 What are the prime factors of 68874? 2, 3, 13, 883 List the prime factors of 8579. 23, 373 What are the prime factors of 35286? 2, 3, 5881 What are the prime factors of 3796? 2, 13, 73 List the prime factors of 69158. 2, 151, 229 What are the prime factors of 1294? 2, 647 List the prime factors of 1452. 2, 3, 11 List the prime factors of 131027. 13, 10079 What are the prime factors of 45095? 5, 29, 311 List the prime factors of 231. 3, 7, 11 What are the prime factors of 1626? 2, 3, 271 List the prime factors of 96384. 2, 3, 251 What are the prime factors of 248? 2, 31 List the prime factors of 11089. 13, 853 List the prime factors of 656. 2, 41 List the prime factors of 7331. 7331 List the prime factors of 3563. 7, 509 List the prime factors of 10655. 5, 2131 What are the prime factors of 58? 2, 29 List the prime factors of 283. 283 What are the prime factors of 931? 7, 19 What are the prime factors of 158? 2, 79 List the prime factors of 7766. 2, 11, 353 What are the prime factors of 907? 907 What are the prime factors of 5369? 7, 13, 59 List the prime factors of 26307. 3, 37, 79 List the prime factors of 867. 3, 17 List the prime factors of 2091. 3, 17, 41 What are the prime factors of 325? 5, 13 What are the prime factors of 3185? 5, 7, 13 What are the prime factors of 9588? 2, 3, 17, 47 List the prime factors of 158173. 61, 2593 What are the prime factors of 26531? 43, 617 List the prime factors of 65814. 2, 3, 7, 1567 List the prime factors of 50067. 3, 5563 What are the prime factors of 1429? 1429 What are the prime factors of 1797? 3, 599 What are the prime factors of 1706? 2, 853 List the prime factors of 601. 601 What are the prime factors of 444? 2, 3, 37 What are the prime factors of 23205? 3, 5, 7, 13, 17 What are the prime factors of 1191? 3, 397 What are the prime factors of 3142? 2, 1571 List the prime factors of 53504. 2, 11, 19 What are the prime factors of 1403? 23, 61 List the prime factors of 119. 7, 17 What are the prime fac
{ "pile_set_name": "DM Mathematics" }
50. Give -5*d(c) - 4*t(c). c + 10 Let m(g) = -1. Let b(r) = r**2 + 3*r + 3. Let s be b(-6). Suppose 0 = -22*o + s*o + 5. Let i(l) = -3*l + 4*l + 3*l - 3*l. What is o*i(u) + m(u)? 5*u - 1 Let z(l) = 227*l + 100. Let h(t) = 45*t + 21. Give 11*h(w) - 2*z(w). 41*w + 31 Let y(j) = -239*j + 3504. Let c(b) = 130*b - 1753. Determine -11*c(l) - 6*y(l). 4*l - 1741 Let r(f) = -23*f**3 + 7*f**2 - 8. Let p(x) = 23*x**3 - 8*x**2 + 10. Calculate 5*p(t) + 6*r(t). -23*t**3 + 2*t**2 + 2 Let t(j) = j**2 + 1. Let y(k) = -20*k**2 + 13 + k**3 - 68*k + 52*k**2 - 12. Let h be y(-34). Let g(v) = v**2 - 2*v - 4. What is h*g(c) + 2*t(c)? 3*c**2 - 2*c - 2 Let x(r) = -23 - 15 + 39 - r. Let i(c) = 2*c**2 + 2*c + 1. Let s be 17/15 + ((-11)/330)/((-9)/(-36)). Give s*x(q) - i(q). -2*q**2 - 3*q Let a(l) = -5*l**3 + l**2 - 4*l - 2. Let x(o) = -6*o**3 + 2*o**2 - 5*o - 3. Let t = -91 + 176. Suppose -22*u - 25 = t. What is u*a(g) + 4*x(g)? g**3 + 3*g**2 - 2 Let i(l) = -34*l**2 - 3. Suppose 2*q - 12 = -g, 0 = q - 0*q + 3*g - 6. Let h(t) = -137*t**2 - 13. Give q*h(v) - 26*i(v). 62*v**2 Let l(k) = 11*k**2 - 78*k + 2. Let p(i) = -11*i**2 + 75*i - 3. Determine 3*l(d) + 2*p(d). 11*d**2 - 84*d Let n(d) = -d + 1. Let r(y) = -2*y - 1. Suppose 44 - 133 = -66*m - 23*m. What is m*r(t) + 3*n(t)? -5*t + 2 Let q(o) = -2*o**3 - 2*o**2. Let b(y) be the second derivative of y**5/5 + 5*y**4/12 - 3299*y. Suppose 2*l + t = 10, 8 = 2*l + 3*t - 2. What is l*q(m) + 2*b(m)? -2*m**3 Let s(g) = 2*g**2 + 3*g + 4. Let r(a) = -3 - a - 2*a**2 + 0 - a. Let y = -365 + 379. Let k be (-2)/y - 116/(-84)*3. Calculate k*r(w) + 3*s(w). -2*w**2 + w Let k(b) = -14*b - 3521. Let s(o) = -16*o - 3509. Determine 9*k(v) - 8*s(v). 2*v - 3617 Let p(i) = 12141*i - 285. Let c(s) = 12*s - 3. Determine 95*c(t) - p(t). -11001*t Let i(u) = 7*u + 0*u - 11*u - 10. Let n(x) = x + 3. Let a be 18/(-36) + 18/4. Let p(j) = -j**3 + 10*j**2 + 11*j + 14. Let h be p(11). Give a*i(y) + h*n(y). -2*y + 2 Let w(h) = 13*h - 6500. Let v(b) = -7*b + 3226. Give 11*v(d) + 6*w(d). d - 3514 Let k(f) = 1 + 3*f - 3*f + 0*f**2 - f**2 + f. Let r(s) = -s**3 + 4*s**2 - 5*s - 8. Let o be 6/216*4 + 9/((-162)/(-88)). Give o*k(j) + r(j). -j**3 - j**2 - 3 Let m(v) = -5*v - 6. Let x(b) = b + 1. Suppose -19*j = -14 - 24. Give j*x(z) + m(z). -3*z - 4 Let n(r) = -2*r**2 + 11*r + 19. Let h(z) = -10*z**2 + 59*z + 95. What is 2*h(l) - 11*n(l)? 2*l**2 - 3*l - 19 Let s(u) = 29*u**3 + 4*u**2 - 2*u + 4. Let b(m) = 58*m**3 + 10*m**2 - 5*m + 7. Calculate 6*b(a) - 15*s(a). -87*a**3 - 18 Let y(w) = 6*w**2 - 20*w + 3. Let d(u) = 4*u**2 - 1. Calculate d(j) - y(j). -2*j**2 + 20*j - 4 Let x(z) = -5*z - 3. Let l(m) = -3*m + 7 + 4*m + 8*m. Suppose -9722*p + 33 = -9711*p. Determine p*l(k) + 7*x(k). -8*k Let q(i) = 286*i - 16. Let f(p) = -21*p + 1. Give -102*f(l) - 6*q(l). 426*l - 6 Let v(p) = -7*p - 358 + 723 - 363. Let h(x) = x - 1. Determine h(n) + v(n). -6*n + 1 Let s(v) = -504*v**2 - 448. Let n(j) = -53*j**2 - 47. Give -48*n(l) + 5*s(l). 24*l**2 + 16 Let t(x) = -x - 1. Let j(b) = -6*b + 575. Let u be j(96). Let i(m) = -2*m**2 - 3*m + 23. Determine u*i(s) + 2*t(s). 2*s**2 + s - 25 Let x(k) = 2777*k - 55. Let g(z) = -1851*z + 39. Determine 10*g(w) + 7*x(w). 929*w + 5 Let p(j) = 20*j + 11. Let s(c) = -2*c + 3*c - 7*c - 5*c - 6. Let k(l) = 6*p(l) + 11*s(l). Let m(t) = -2*t. Let g be -2*(3/(-2) + 1). Calculate g*m(q) - 6*k(q). 4*q Let j(g) = 5*g**2 + 3*g + 7. Let n(i) = -14*i**2 - 8. Let x(r) = 17*r**2 - r + 8. Let d(s) = -4*n(s) - 3*x(s). What is 6*d(q) - 7*j(q)? -5*q**2 - 3*q - 1 Let d(t) = 2900*t + 0*t**2 - 5906*t - t**2 + 3007*t. Let s(f) = -f**3 - f**2 - 2*f - 2. What is -3*d(q) - s(q)? q**3 + 4*q**2 - q + 2 Let t be 57/((-57)/(-3)) - (-2 + 0). Let v(f) = -6*f**2 - 8*f + 6. Let c(l) = -5*l**2 - 7*l + 5. Determine t*c(u) - 4*v(u). -u**2 - 3*u + 1 Let p(w) = 88*w**2 - 19*w + 4. Let i(s) = -2*s + 1. What is -6*i(d) + p(d)? 88*d**2 - 7*d - 2 Let y(m) = 9*m**2 + 2*m + 61. Let c(p) = -2*p**2 - 2*p - 2. What is 3*c(r) + y(r)? 3*r**2 - 4*r + 55 Let a(u) = -2*u**2 + 73*u + 517. Let f be a(-6). Let o(r) = -4*r - 17. Let q(m) = -2*m - 8. Determine f*q(w) - 3*o(w). -2*w - 5 Let g(v) = v**3 - v**2 + v + 1. Suppose 7*o = -6*o + 26. Let s(n) = -11 - 15*n + 4*n**o - 21*n**3 - 4 + 2*n**2 + 9*n**2. What is 30*g(j) + 2*s(j)? -12*j**3 Let b(i) = 7*i + 9. Let s(a) = 3*a - 4. Let j(p) = 14*p - 10. Let g(x) = 2*j(x) - 7*s(x). Calculate 5*b(k) - 6*g(k). -7*k - 3 Let h(j) = 3*j - 13. Let c be h(5). Let y(z) = -c + 3*z - 4*z + 0*z - z. Suppose 11*i + 24 + 9 = 0. Let w(m) = -5*m - 5. Calculate i*w(l) + 7*y(l). l + 1 Let u(p) = 172*p**3 + 5*p**2 - 6. Let x(l) = 172*l**3 + 4*l**2 - 5. Determine -4*u(j) + 5*x(j). 172*j**3 - 1 Let a(v) = 10*v + 65. Let r be ((-12)/18)/((-12)/9)*58. Let o(y) = r - 8 + y - 15. Determine -6*a(t) + 65*o(t). 5*t Let n(u) = 3*u - 6. Let r(k) = k - 14. Let g be r(8). Let v(o) = 3. Let a(l) = g*v(l) - 3*n(l). Let m = -180 + 178. Let i(c) = -4*c. Give m*a(h) + 5*i(h). -2*h Let x(o) = 70*o**2 + 3*o. Let j(s) = -217*s**2 - 9*s. What is 2*j(m) + 7*x(m)? 56*m**2 + 3*m Let y be 3*(-2)/(-39) + 3182/1118. Suppose 0 = -3*d + 5*p - 78, 0 = y*d + 19*p - 16*p + 54. Let w(j) = 33*j - 12. Let m(t) = 8*t - 3. What is d*m(f) + 5*w(f)? -3*f + 3 Let q(t) = 2*t - 6. Let d be ((-5)/(-4))/(15 - 1652/112). Let f(x) = -2*x - 3*x + 4*x. Let r(w) = 3*w + 5. Let k(z) = d*f(z) + r(z). Calculate -5*k(m) - 4*q(m). 2*m - 1 Let j(g) = -2*g**3 + g**2 + 10*g - 102. Let l(s) = 2*s**3 - 2*s**2 - 14*s + 103. Give 3*j(o) + 2*l(o). -2*o**3 - o**2 + 2*o - 100 Let a(t) = 7*t - 3. Let m(x) = 5*x - 68. Let y be m(14). Let r be 15/(-5 + y) + -1. Let s(b) = -13*b + 5. Determine r*s(v) - 11*a(v). v + 3 Let g(x) be the second derivative of 3*x**2/2 + 1852*x. Let b be 18/(-15)*15*2/12. Let m(w) = w**3 + 7. Let l be 6 + 2 + (-2)/2. Give b*m(o) + l*g(o). -3*o**3 Let p(l) = -49*l**2 - 67*l - 540. Let v(b) = -9*b**2 - 13*b - 108. Determine -2*p(q) + 11*v(q). -q**2 - 9*q - 108 Let z(k) = 22*k - 20. Let l(a) = -15. Determine 2*l(b) - z(b). -22*b - 10 Let k(n) = -2778*n**2 + 13890*n - 9260. Let o(m) = 3*m - 2. What is -k(i) + 4630*o(i)? 2778*i**2 Let y(g) = -1706*g**2 - 18. Let h(o) = 3412*o**2 + 45. What is -2*h(t) - 5*y(t)? 1706*t**2 Let p(b) = -10*b + 3. Suppose -47*f - 123*f + 8*f = 486. Let x(u) = -29*u + 8. Calculate f*x(s) + 8*p(s). 7*s Let z(c) = 124*c + 41. Let a(r) = 124*r + 29. What is -3*a(j) + 2*z(j)? -124*j - 5 Let u(j) = 2*j + 249. Let z(i) = 10*i + 1166. Let v(q) = 14*u(q) - 3*z(q). Let h(p) = 1. Let n(f) = 2. Let k(a) = 5*h(a) - 3*n(a). Give -10*k(m) + v(m). -2*m - 2 Let c(v) be the second derivative of v**4/12 + v**3/6 - v**2/2 - 855*v + 2. Let o(k) = -3*k**2 + 4*k**2 + 0 - 2 + 1 + 4*k. Give -4*c(g) + o(g). -3*g**2 + 3 Let a be (-8 + -6)*34/238. Let u(f) = f**3 + 9*f**2 + 23*f - 5. Let x(g) = -g**3 - 4*g**2 - 11*g + 2. What is a*u(t) - 5*x(t)? 3*t**3 + 2*t**2 + 9*t Let j(m) = 497*m**3 + 7*m**2 - 3*m + 5. Let b(i) = 249*i**3 + 4*i**2 - i + 3. Calculate 5*b(n) - 3*j(n). -246*n**3 - n**2 + 4*n Let c(t) = -123*t - 1477. Let x be c(-12). Let l(k) = -3 - k + 2 + k**2 + 2*k. Let h(q) = -4*q**3 + 1. Determine x*l(n) - h(n). 4*n**3 - n**2 - n Let j(t) = -1629*t**2 - t - 5. Let p(q) = -5*q**2 + q + 2. What is -j(b) - 2*p(b)? 1639*b**2 - b + 1 Let r(j) = 74*j + 5. Let f(n) = 8*n - 1018 - 4*n + 1021 + 33*n. Determine -5*f(g) + 3*r(g). 37*g Let f(z) = 29*z**3 - 5*z**2 + 2*z + 4. Let b(t) = 15*t**3 - 3*t**2 + t + 2. Suppose 3*c = 15, -469 + 476 = -4*m - c. Calculate m*f(h) + 5*b(h). -12*h**3 - h - 2 Let n(h) = 7*h**3 + 67*h - 25. Let y(d) = 2*d**3 - d**2 + d - 9. Calculate -n(r) + 3*y(r). -r**3 - 3*r**2 - 64*r - 2 Let j(p) = 14822*p**2 + 75*p - 85. Let v(f) = -10587*f**2 - 53*f + 60. Determine -12*j(g) - 17*v(g). 2115*g**2 + g Let q(v) = 21*v. Let j(i) = -102*i**3 + i**2 + 3*i - 4. Let g be j(1). Let w = g - -91. Let b(t) = 7*t. Calculate w*b(p) + 4*q(p). 7*p Let r(b) = -18*b + 389. Let o(m) = 4*m - 3. Determine -6*o(g) - r(g). -6*g - 371 Let q(i) = 4*i - 7. Let z(d) = 3*d - 5. Let j(v) = -2*q(v) + 3*z(v). Let l(y) = 11*y - 9. Let x be -3 + (-27)/(-3) - 4. What is x*l(g) - 18*j(g)? 4*g Let v(s) = -4*s - 12151. Let l(b) = b + 2430. Calculate -14*l(h) - 3*v(h). -2*h + 2433 Let i(h) = -23*h**2 + 204*h - 65. Let v(w) = -11*w**2 + 94*w -
{ "pile_set_name": "DM Mathematics" }
(-6) + 1/2. Let m be -4 + -36*((-189)/46 + 4). Which is the third biggest value? (a) m (b) t (c) -2/7 c Let g = 6148/77 - 872/11. Which is the third biggest value? (a) -0.1 (b) 1 (c) g (d) 0.2 d Let g be (1 - (-750)/14) + 9/21. Suppose -g*w + 39*w + 864 = 0. Which is the second smallest value? (a) -0.2 (b) 0.4 (c) w b Let n = -81.633 - -0.133. Let f = n + 81. Which is the third smallest value? (a) 2/19 (b) f (c) 5 (d) -7 a Let w be 2/3 + 22/(-6). Let l = -57.28 - -0.28. Let f = l - -56.7. Which is the third biggest value? (a) 3 (b) w (c) -1/5 (d) f d Let h be (-15 - (-184)/12)*378. Suppose -4*c = -3*n - 2*n - 565, 0 = 2*c - 2*n - 280. Let s be (4/10)/(h/c). What is the fourth biggest value in 3, s, 0, 2? 0 Let m = 4 - 4.05. Let h = 0.1 + -0.4. Let k(j) = j**2 + 17333*j + 86640. Let n be k(-5). Which is the fourth biggest value? (a) 0.4 (b) n (c) m (d) h d Let r be 6*(-10)/15 + -387. Let i = 0.3593 - 0.1593. What is the smallest value in -0.4, i, r? r Let r = 5.1 - 0.1. Let y = 1.38 + 433.12. Let o = y - 435. Which is the third biggest value? (a) r (b) -0.2 (c) -0.04 (d) o b Let n = -5672 - -5670. Let f be 12/8 + (-9)/(-6). What is the second smallest value in 6, f, n, -1/7? -1/7 Let w = -47 + 52. Let s be (19 + (-35016)/1848)*7/2. Let v = 0.2 - 0.1. Which is the fourth smallest value? (a) s (b) -2 (c) v (d) w d Let a = -9775.2 + 9776. What is the biggest value in -0.3, -5, a, 0.06, -0.4? a Let r = -0.12 + 2.24. Let g = r - 1.62. Which is the fourth biggest value? (a) -0.17 (b) 0 (c) g (d) 0.2 a Let a(w) = 7*w - 5. Let b be a(7). Let o = b - 46. Let f be 3/(-18) - o/(-4). What is the second smallest value in 2, f, -1? f Let a = 1350777/28 - 48237. Let f = -19/4 + a. Suppose -t + 1 = x, t - 3*x = -t - 8. What is the fourth smallest value in f, 0, -4, t? f Let z = -11741 - -11744. Which is the third biggest value? (a) -25 (b) 1 (c) -2 (d) -5/9 (e) z d Let b = 16196.7 - 16197. Let o = -32/259 - 6/37. What is the smallest value in o, 3, b, 0.1? b Let f = -3207 - -3206.9. Let i = -9 - -17/2. Which is the second smallest value? (a) i (b) f (c) -5 (d) -2/7 a Suppose 2*k = -4*n - 6, 4*k + 125 - 116 = -5*n. What is the biggest value in -6, -0.4, k, 0.3? 0.3 Suppose -25*o + 29*o + 460 = 0. Let p = 343/3 + o. Which is the second smallest value? (a) -12/5 (b) p (c) 1 b Let v be 8/18 + 50/(-45). What is the fifth biggest value in v, -2, -5, 5, 4/3? -5 Let k = 0.04 + -0.04. Suppose 7*s - 349 + 409 = -5*s. Which is the second smallest value? (a) 53 (b) s (c) k c Let g be (-3)/1*2/(-6). Let k be g*3*4/(-12). Let s = 5.27222 + -0.27222. Which is the third biggest value? (a) -0.1 (b) k (c) 0.04 (d) s a Let d = 2895 - 2895.4. What is the biggest value in 0.2, d, 1/4? 1/4 Let u = -1/2779 + 5563/13895. Which is the second biggest value? (a) -0.1 (b) -2/7 (c) -241/2 (d) u a Let y = 15292/5 + -3058. What is the third smallest value in 0.05, -1/13, y? y Let v = -200 - -178. Let i = 21.967 + v. Which is the third biggest value? (a) -1/4 (b) 0.2 (c) i a Suppose 6*w + 6 = 7*w, 0 = -y + 2*w - 12. Which is the fourth biggest value? (a) y (b) 1/14 (c) 1 (d) -2/5 d Let u = 0.071 - 3.591. Let z = u - -0.62. Let p = -3 - z. Which is the smallest value? (a) 15 (b) p (c) 0.3 b Suppose -6 - 15 - 87 = -27*t. Which is the second smallest value? (a) 2/5 (b) 70 (c) 20 (d) t (e) -4 a Let x = 985 - 984. What is the second biggest value in 15/2, -2, -58, x? x Let c = -7746 - -7750. What is the biggest value in 2/11, -2/13, c, 28? 28 Let f be (-16)/4 + -2 + 225. Let k = f + -1967/9. Let q = 5 + -8. What is the second biggest value in -2, 4, q, k? k Let h = 63188/45 - 7022/5. Which is the smallest value? (a) 0.4 (b) h (c) 3/2 (d) -1/8 b Let q be 525/19*70/3129. Let k = q - -2/149. Let u = -109/38 - k. Which is the second biggest value? (a) 1 (b) 3/4 (c) u b Let y be -13 + (-9 - -13)*-1. Which is the third smallest value? (a) 0.5 (b) y (c) -1/4 (d) -1.1 (e) 2/11 c Let d(t) = -11*t + 60. Let s be d(5). Let c = -29.16 - -1.86. Let x = 27 + c. What is the second biggest value in s, -1/4, x, -4? -1/4 Let t = 4.8 + -0.8. Let f = -2747 + 2730. Which is the smallest value? (a) f (b) t (c) -1 a Let o = 0.4483 - 0.7273. Which is the third smallest value? (a) 0 (b) -1 (c) o a Let q = -6912 + 6912.1. Which is the third smallest value? (a) q (b) -0.14 (c) -2/7 a Let s = -0.9 + -0.1. Let x be 6/(-4) - (-2 - -1). Suppose -9 = -3*f, 23*f = 2*l + 31*f - 66. What is the second biggest value in x, l, s? x Let o be (935/(-1122))/((-85)/12). Which is the fourth smallest value? (a) 2 (b) 1648 (c) 1/3 (d) o b Let p be (2/3)/((-130)/(-15)). Let x = 0.73 + 252.27. Let g = 252 - x. What is the fourth biggest value in 5, g, -3/5, p? g Let f = -25 - -55. Let x be 54/8*16/f. Let z = -34/15 + x. What is the third smallest value in -3, 1, z? z Let o = 10912 + -10914.12. Which is the second biggest value? (a) o (b) -2/7 (c) 0.7 b Let x = 43 - 49.4. Let z(u) = u**2 + 1480*u - 20914. Let w be z(14). Which is the third smallest value? (a) x (b) -3 (c) w (d) -1/6 d Let m be 2 - -15 - 208/16. What is the fourth smallest value in m, 1/3, -4/13, 3, 8? m Let f be ((-228)/68 + 4)*1. Let y = -133/153 + f. What is the third smallest value in y, 0.3, -0.1, -11? -0.1 Let i = 0.1577 + 0.0423. Let d = -18 - -14. Let o = -5 - d. Which is the second biggest value? (a) o (b) 0.5 (c) i c Let u be (81/81)/(18/4). What is the second smallest value in u, 0.06, 3/2? u Let a be ((-40)/(-52))/(-5*60/(-975)). What is the second smallest value in a, -0.3, -0.194? -0.194 Let z = 67.07 + -67.37. What is the second biggest value in z, -3, -0.05, -3/25, 0.4? -0.05 Let r = 12.19 - 12. Let i = -0.01 - r. Suppose -91 + 91 = 38*k. Which is the third biggest value? (a) k (b) -3/4 (c) 2/3 (d) i d Suppose -5*i + 91 = -12*j + 10*j, -j + 2 = 0. Let m = i - 170/9. Which is the smallest value? (a) -1/4 (b) -2 (c) m (d) -2/15 b Let j = 232.49 - 232. Let h = j + 1.51. Which is the smallest value? (a) h (b) 3/20 (c) -3/4 (d) -5 d Let k = 235 + -583. Let v = k + 353. What is the smallest value in 0.2, -0.08, v? -0.08 Suppose 382*v = 389*v + 91. Let x be 0 + -3*(-8)/6. What is the third smallest value in x, v, 0.3? x Let z = -856.61 - -862. Let s = z - 0.39. Let g = -0.176 - 0.024. Which is the biggest value? (a) 4 (b) -3 (c) s (d) g c Let m = -0.04 - 2.96. Let c = -5 - m. Let a be 30/20*(-11)/((-715)/(-26)). What is the third smallest value in a, c, -8? a Suppose -5*r - 4 = -3*u, -2*u - r + 1 = -6. Let c be 1/u*-15 - (-1 + 1). Let y be (c/(-4))/(1/((-12)/(-10))). What is the third biggest value in -2/25, -3, y? -3 Let k be (3/(-18))/((-100)/48 - -2). What is the biggest value in 0.6, -33, k? k Let t = 0.033 + 1.967. Let r(b) = b**2 + b - 3. Let i be r(-2). What is the third biggest value in i, 0.42, t? i Suppose w = 3*t - 0 + 5, 3*t = -2*w - 8. Let d be 11/3 + t - 1. Let n = 0.055 - 0.025. What is the second smallest value in n, 4, d? d Let t = 12800 - 12799.6. What is the fourth biggest value in -0.2, 2, t, 3, 9? t Let i = 252 - 3274/13. Let m = -0.137 - -2.647. Let l = m + -0.51. Which is the third smallest value? (a) i (b) l (c) -0.07 b Let z = 0.03355 + 2.96645. What is the third biggest value in z, 0.3, -5, 136, -0.2? 0.3 Let s = -0.0196 + 0.1996. Let l = s + 0.02. What is the second smallest value in 1/10, 5, 1, l? l Let j = 0.383855 + -0.283855. Let d be ((-4)/(-42))/((-2)/(-307)). Let q = -43/3 + d. What is the second biggest value in -1, q, 1/2, j? q Suppose p - 5*m = -1, -5*m = 2*p - 23 - 20. Suppose -p = -11*j + 25*j. Which is the biggest value? (a) j (b) -3 (c) -2/5 (d) -8/3 c Let l = 21.02 - 22.277. Which is the third biggest value? (a) l (b) 1/3 (c) -2 c Let q = -0.137 - 41.263. Let g = -42 - q. Which is the third biggest value? (a) g (b) 4/5 (c) -0.3 (d) 0.2 c Let l be (-3 - -2)/((-36)/(-27)). Let g = -43 + 25. Let s = 17.9 + g. What is the second biggest value in -0.4, l, s? -0.4 Let j = -5775 + 5772. Let i = 12.7 + -13. Which is the third smallest value? (a) j (b) i (c) -9 b Let v = 7.507 - 0.207. Let x = -6.8 + v. What is the third biggest value in -0.6, x, -0.5, -5? -0.6 Let w = 3122 - 3133. What is the
{ "pile_set_name": "DM Mathematics" }
ivative of -i**3/3 - i**2/2 + 5*i - 3. Calculate the lowest common multiple of g and k(0). 10 Suppose -b = -5*f + 55, -4*f - 5*b = -5*f + 11. Suppose 0 = 4*v - 62 + 18. Calculate the least common multiple of v and f. 11 Let k(g) = 12*g**2 - 7*g - 10. What is the least common multiple of k(4) and 10? 770 Suppose -z + 2*r + 23 = 0, 0*z = -2*z + 2*r + 54. Suppose 4 = -w - 4*u, 4*w + 5*u = 5*w + z. Find the common denominator of 87/4 and (0 + 1)*(-178)/w. 8 Suppose i + 90 = -0*i. Let c(x) = x**3 + 4*x**2 - 6*x - 6. What is the least common multiple of i/(-4) + 2/(-4) and c(-4)? 198 Find the common denominator of (-526)/(-96) - 2/(-6) and -53/6. 48 Let d(y) = 24*y + 4. Let m(q) = -q - 2. Let v be m(-6). Let z be d(v). What is the common denominator of -1 - (z/(-7))/(-4) and 25/2? 14 Let j = -111/10 + 423/55. Find the common denominator of j and -11/4. 44 Suppose j = -5*c + 85, 2*c - c + 2*j = 26. What is the lowest common multiple of 10 and c? 80 Let u = -76127/10 + 7620. What is the common denominator of u and 49/3? 30 Suppose 64 = -4*l + 6*l. Let y = l - 156/5. Calculate the common denominator of y and 55/7. 35 Let k be -3 - (1 - 4 - 0). Suppose -4*m + 8 = -k. What is the common denominator of 44/3 and m*3 - (-4)/18? 9 Let i(n) be the second derivative of 7*n**3/6 + n**2 - n. Let j be i(4). What is the common denominator of -30 and (j/8)/((-18)/(-12))? 2 Let z(m) = -m**3 - 15*m**2 + 16*m + 22. Calculate the least common multiple of z(-16) and 22. 22 Let h be -3*(-2)/15*5. Suppose v = h*v - 2. Suppose -36 = -v*n - 0*n. Calculate the smallest common multiple of 16 and n. 144 Suppose -3*n = -4 - 2. Find the common denominator of (9/(-8))/(3/n) and 47/4. 4 Suppose 285 = 5*n + l, -3*n - l = 2*l - 159. Calculate the lowest common multiple of 1/(-4) + n/8 and (((-252)/(-8))/(-9))/((-2)/4). 7 Let g = -511669/101072 + -1/12634. Let j(y) = -2*y + 6. Let f be j(4). What is the common denominator of g and (f/3)/(8/(-138))? 16 Let u(z) = z**2 + 17*z - 40. Calculate the smallest common multiple of u(3) and 8. 40 Let c be 3/(-6) + 402/4. Find the common denominator of (-12)/4 - c/(-14) and 25/11. 77 Let z(y) = 8*y**2 - y + 1. Calculate the lowest common multiple of z(1) and 12. 24 Let i(l) = -2*l + 1. Let z be i(5). Let u = 7 - z. What is the smallest common multiple of u and 8? 16 Let y = 6724216/7 - 963248. Let t = y + 2639. What is the common denominator of t and 63/2? 14 Let k(q) = q**3 - 9*q**2 + 7*q + 9. Let r be k(8). Let g be (-2 - (-2 + r))/(-1). What is the common denominator of 41/11 and (g/(-4))/((-2)/(-10))? 44 What is the common denominator of (-2)/(-15) + 549/540 and -1/14? 140 Let q = -11370461/10 - -1140004. Let o = q - 2963. What is the common denominator of 4*(1 + 5/(-7)) and o? 70 Suppose -5*l + 1 + 9 = 0. What is the smallest common multiple of l and 6? 6 Suppose 3*a = a + 16. What is the least common multiple of a and 440/30*6/4? 88 Let i(f) = -1636*f**2 + f. Let x be i(1). Let s = x - -11386/7. Find the common denominator of -38/5 and s. 35 Suppose g + 2 = t, -t - 3*g + 2 + 4 = 0. What is the smallest common multiple of t and 3? 3 What is the common denominator of 526/(-360) - (-2)/(-5) and -95/16? 144 Let m = 5 - 1. Suppose l - m*l = -6. Suppose 0 = 5*f - 25 - 55. Calculate the smallest common multiple of l and f. 16 Let h = -489/14 + 2819/77. Calculate the common denominator of h and -71/2. 22 Suppose -16 = -a - 4*k, a + 9 = 4*a - k. Suppose 0 = l - a*b + 14, -4 = -4*l + 3*b + 5. Calculate the lowest common multiple of l and 6. 6 Let y(n) = 20*n**2 - 2. Let x be y(1). Suppose 0 = -a + 3*a - x. Let h(r) = r**2 - 2. Calculate the smallest common multiple of h(3) and a. 63 Suppose -25*w + 26*w - 18 = 0. What is the lowest common multiple of w and 27? 54 Suppose 7*o + 614 = 6*o. Let n be (-20)/584*o/(-8). Let m = n - -1/292. What is the common denominator of m and 18/7? 56 Let b = -52 + 54. Calculate the least common multiple of 5 and b. 10 Let f(h) = h + 15. Let n be f(-11). Suppose 3*u + 3 = 4*u. Suppose -2*s = 4, -u*s - 6 = -t + n. Calculate the lowest common multiple of 5 and t. 20 Let q = -29247/11 - -2656. Calculate the common denominator of q and 9/11. 11 Calculate the common denominator of 11/(352/(-744))*2/15 and -65/8. 40 Let s = 49 + -38. Let p = -3 - 0. Let i = 5 + p. Calculate the smallest common multiple of s and i. 22 Suppose -2*k = 21 + 193. Let f = -75 - k. Calculate the common denominator of (f/18)/((-3)/6) and 53/4. 36 Find the common denominator of 558/60 + (-1 - 0) and -85/76. 380 Let j = 40/553 + 26683/21014. Find the common denominator of 13/4 and j. 76 Let k(x) = -x**2 + 16*x + 20. Suppose -2*h = h + 5*c + 1, 0 = 2*h + 5*c - 6. Let f = h - -12. What is the smallest common multiple of f and k(17)? 15 Suppose -f - 4 = 3. Let u(c) be the third derivative of c**5/60 + c**4/4 + c**3/6 - 7*c**2. What is the smallest common multiple of u(f) and 18? 72 What is the smallest common multiple of 12 and 8/6*(1 - -5)? 24 Suppose -2*h + 3*g = -h + 318, -2*g - 308 = h. Calculate the common denominator of 3428/h + (-4)/(-26) and -63/4. 12 Let b(p) = -p**2 + 12*p - 3. Calculate the least common multiple of 20 and b(11). 40 Let h = 27 + -16. Calculate the lowest common multiple of -1 + h - 10/(-5) and 4. 12 Suppose -5*l + 5 = b - 3, 5 = -4*l + 3*b. Suppose 0 = -j - 0*j + l. What is the smallest common multiple of 1 and j? 1 Suppose 1 = -2*t + 7. Suppose t = -4*m + m. Calculate the common denominator of 15/4 and m/(-3)*495/(-24). 8 Let j be (-249)/(-27) - (-2)/(-9). Let k = j - 5. Calculate the lowest common multiple of 11 and k. 44 Let r = 16 + -10. Let s(q) = -r*q + 0*q + q - 6*q - 1. What is the smallest common multiple of s(-1) and 7? 70 Let z(f) = f**3 - 10*f**2 + 5*f - 7. What is the common denominator of z(10) and 13/6? 6 Suppose -14*s + 10*s + 56 = 0. Suppose 0 = c - 12 + 4. What is the smallest common multiple of c and s? 56 Calculate the common denominator of 103/14 and (-79)/12 + -11 + 8. 84 Let p = 31 - 10. Find the common denominator of ((-18)/(-48))/((-1)/42) and p. 4 Suppose 0 = -j - 53 + 159. Let u = j - 1111. Let l = u - -6053/6. What is the common denominator of l and 77/6? 6 Let l = -64484/13 - -4958. Let g be (-4)/(-12) + 997/(-156). Let t = l - g. What is the common denominator of -145/6 and t? 12 Calculate the least common multiple of 32 and (8/6)/((-1)/(15/(-2))). 160 Let n be (-6)/(-8) - 1430787/108. Let q = 13240 + n. What is the common denominator of 127/12 and q? 36 Let q(j) = -2*j - 4. What is the least common multiple of 16 and q(-6)? 16 Let z = 2/46107 + -84206755/92214. Suppose -3*m = -0*m + 2694. Let k = m - z. What is the common denominator of -63/2 and k? 6 Let t = -59075 + 293291/5. Let b = t - -423. What is the common denominator of -71/2 and b? 10 Find the common denominator of 14/11 and (-524)/105 + 4/30. 77 Let d = 5 + 2. What is the least common multiple of 11 and d? 77 Suppose -40 = 4*n + 4*h - 144, -136 = -5*n - 3*h. What is the common denominator of 43/7 and n? 7 Let v(b) = -2*b - 6. Calculate the least common multiple of 38 and v(-7). 152 Let f(u) = 1 + u + 2 + 0*u. Let d be f(7). Let x = d + -20. What is the common denominator of x and 43/3? 3 Let j = -4 - -6. Let i be -6 - j/2*-2. What is the common denominator of i/(-14) + 345/(-56) and 151/18? 72 Let s be (-4)/(12/(-3))*-1. What is the common denominator of s + -3 + (-250)/12 and -91/8? 24 Let m = 4985/7 + -716. What is the common denominator of 11 and m? 7 Let d = -167891/216027 - 4/1701. Let q be (-3)/(-2) + 5584/2286. Let y = q - d. Find the common denominator of y and -61/22. 198 Let d(l) = -3*l**3 - 2*l**2 - 3*l - 2. Calculate the lowest common multiple of 6 and d(-2). 60 Suppose 3*l + 38 + 52 = 0. Let r = -2/741 + -2551/494. Find the common denominator of (909/l)/((-6)/(-5)) and r. 12 Suppose 47 + 9 = 3*j - 4*k, -j - 4*k = -8. Calculate the common denominator of 13 and (188/j)/((-7)/(-4)). 7 Let j = -2688 - -21573/8. Calculate the common denominator of 4/18 - 3596/144 and j. 8 Let t = 1956 + -13715/7. Find the common denominator of -17/5 and t. 35 Let j(k) = -1 + 1 + 4 + 3*k. What is the smallest common multiple of ((-3)/6)/(1/(-4)) and j(4)? 16 Let h(g) = g**2 + 3*g. Let f be h(-4). Suppose t = -f*d, 7 = -3*t + 4*d + 55. Let a(
{ "pile_set_name": "DM Mathematics" }
y = j - 0.05. Which is the second biggest value? (a) 4 (b) h (c) y c Let n = -47 - -46. Which is the third biggest value? (a) n (b) -0.08 (c) -4 c Let o = -3.1 - 10.9. Let p = o + 12. Which is the second biggest value? (a) 0.2 (b) -0.5 (c) p b Let s be -1*2/4 - -2 - -3. Which is the second smallest value? (a) -3 (b) s (c) 2 c Suppose 2 = 3*b + 20. Let v = -7 + -11. Let d be v/(-14) - b/(-21). What is the smallest value in -1/4, d, 5/2? -1/4 Let c = -0.05 - 4.95. Let d be ((-4)/(-18)*-3)/(60/(-18)). What is the third smallest value in d, -6/5, c? d Let w = 2 + -3. Let a be w/2*-2 + 3. What is the biggest value in -5, a, 2/17? a Let f = -4.5 + 0.5. Let y = -2 - f. Let r = y - 2. Which is the smallest value? (a) 0.5 (b) r (c) -0.4 c Let x = 1.6 + 1.4. Let a = -6 + x. What is the third biggest value in 0.5, a, -2? a Let g = 0.7 + 0.3. Let c = -1.04 + g. Let j = -0.44 - c. What is the third biggest value in j, 1, -0.5? -0.5 Let j = 5.4 + -6.4. Which is the second biggest value? (a) -2/7 (b) 4 (c) j a Let s(j) = -6*j + 12. Let k be s(-5). Let y = k - 125/3. What is the third biggest value in -0.4, y, 5? -0.4 Let n = -0.46 + -0.04. Let y = 0.1 + -0.2. Which is the smallest value? (a) y (b) n (c) 0.2 b Let y = 7.7 + -7.8. Which is the second smallest value? (a) 2 (b) 8 (c) 0 (d) y c Let o be (0 - (-85)/(-25)) + 1*3. Which is the second smallest value? (a) -3/5 (b) -1/4 (c) o c Let b = -3 - -3.7. Let g = 47 - 46.6. What is the second smallest value in 3, g, b? b Let n be 6/(-8) - (3 - 4). Let f = 2 + -3. What is the second biggest value in n, -4, f? f Let o be 79/(-4)*(11 + -8). Let r = o - -59. Which is the smallest value? (a) -4 (b) 0.3 (c) r a Let x be 2/(-20)*(-10)/(-4). Let c = -35/22 - -12/11. What is the biggest value in c, x, 5? 5 Let z = -0.048 - 0.052. Which is the biggest value? (a) z (b) 0.5 (c) 2/3 (d) -2 c Let d = 31 + -55. Let m be (d/3)/((-4)/6). Let x be 3/m + 1/12. Which is the second biggest value? (a) x (b) -2 (c) -2/21 c Let s be (-26)/(-10) + 15/(-25). Which is the second biggest value? (a) 0.07 (b) s (c) -0.1 a Let m = 37 - 38. Which is the third smallest value? (a) m (b) 0.5 (c) 0.4 b Let u be 2/9 + (-28)/18. Let o = 317/390 + -1/78. Let p = 6.4 - 6. Which is the second smallest value? (a) u (b) p (c) o b Let i = 323 - 4847/15. Let x = -3 - -4. Let d = x - 1. What is the second smallest value in d, -2, i? i Let r = -3.5 - -5.5. What is the smallest value in 3, -2/5, r? -2/5 Let y(m) = m**2 + 5*m. Let n be y(-5). Suppose 125*r = 128*r - 15. What is the third biggest value in 1, n, r? n Let i = 8 - 3. Suppose 2*q - 9 = 3*r, i = r - 2*q + 4*q. Which is the second smallest value? (a) 2/7 (b) -5 (c) r c Let v = 0.4 - 0.3. What is the smallest value in 4/5, 5, v? v Let k be (-6)/4*8/54. Let c be 3 + 0 + 34/(-8). Let b = -6 - -4. What is the third biggest value in k, b, c? b Let o(f) = f**2 + 9*f - 11. Let y be o(-10). Which is the smallest value? (a) y (b) -2/7 (c) -5 (d) 5 c Let q = -3.2 + 5.2. Let l = 1.9 - 1.2. Let r = l + -1. Which is the biggest value? (a) q (b) -2 (c) r a Let g = -26 + 26. What is the third smallest value in 5, g, 0.3? 5 Let h = 20 + -18. Which is the fourth smallest value? (a) 18 (b) -4/7 (c) h (d) 3 a Let o = -7.3 - -0.3. Which is the biggest value? (a) o (b) 4 (c) 1/3 (d) -2/5 b Let g = 10.22 + -0.22. Let c = g + -11. Let j = 0.9 + c. What is the smallest value in -0.4, j, -5? -5 Let k = 1.3 - 1.2. What is the second biggest value in k, 2, -5? k Let t be 24/(-224)*(-74)/9. Let x = -3/14 + t. What is the second biggest value in -5, x, 0.05? 0.05 Let x = 125/1218 - 3/406. What is the fourth smallest value in x, -1, -0.4, -4? x Let d = 0.3 - 4.3. Let m = d + 4.5. Let g = 3 - 2.8. Which is the second biggest value? (a) m (b) 2 (c) g a Let d be 358/8 - (-12)/(-16). Let b be 212/d + (-2)/(-11). Let j = -0.3 - -0.4. What is the second biggest value in j, -0.4, b? j Let g = -6.9 + 3.9. Which is the third biggest value? (a) -0.4 (b) -5 (c) -0.2 (d) g d Let x = 0.057 - -3.643. Let y = x - 0.6. Let v = y - 3. What is the third biggest value in -2/3, v, 0.3? -2/3 Let f be (-6)/(-16)*4 + (-18)/8. Which is the fourth smallest value? (a) 0.4 (b) -1.1 (c) f (d) 4 d Let z = -0.1 + 0.2. Let w = -4 - -2. What is the third biggest value in -5/2, z, w? -5/2 Suppose 2*z - 3 = 3. Suppose j - 4*m = 0, 0*j - 3*j - 9 = -z*m. Let g be ((-12)/(-56))/((-3)/j). Which is the third smallest value? (a) -5 (b) -4 (c) g c Let u = -350 + 2454/7. Which is the smallest value? (a) -3/4 (b) u (c) 28 a Let h = -14 + 16. Let f be (1 - -15)/(-2) + 4. Which is the third smallest value? (a) f (b) h (c) -1/5 b Let u = 91.9 + -92. Let a = -4 + 2. What is the biggest value in a, 1/2, u? 1/2 Let u = -18 - -6.7. Let q = u - -11. What is the second biggest value in -4/7, 2, q? q Suppose -1 = -r - 0. What is the second biggest value in 2/3, r, -4? 2/3 Let p(n) = 3*n**3 - n**2 + n - 1. Let t be p(1). Let h be 27/5 + t/(-5). Let q be (1/h)/(4/(-10)). Which is the second biggest value? (a) -2/7 (b) 2 (c) q a Let z = -1.8 - -4.8. What is the smallest value in 8, 4, z? z Let z = 13.5 + 0.5. Let s = 13.6 - z. Which is the biggest value? (a) 0 (b) s (c) 1/3 c Let u = -4 - -1. Let r(w) = w**3 - w**2 - 2. Suppose 3*a + 0 = g - 4, -4*a + 5*g = 20. Let d be r(a). What is the smallest value in -1, u, d? u Let v = -1 - -0.99. Let s = v + -0.49. What is the biggest value in s, 2, 0.1? 2 Let t = 0.4 - -0.5. Let f = 0.5 - t. What is the second biggest value in -0.5, f, -2? -0.5 Let f be 0 + 2/(-21)*6. Suppose 4*h + 2*k + 16 = -0*h, -5*h - 3*k - 19 = 0. Let s = 3 + -3.5. What is the second smallest value in h, s, f? f Suppose -15*p = -17*p + 18. Which is the second biggest value? (a) p (b) -3 (c) -5 b Let y = 0 + 1. Let j = -2309 - -50813/22. Let f = 24/11 - j. What is the second smallest value in f, y, 3/5? y Let n be (-2)/(-4)*4/(-16). Let x be ((-2)/6)/((-20)/24). Which is the biggest value? (a) 0 (b) n (c) x c Let s be 362/10*1/(-2). Let h = s - -37/2. What is the smallest value in -0.1, -3, h? -3 Let z = 8 + -11. Let p(v) = v - 9. Let y be p(10). Let t be (4/(-30))/(y/z). Which is the second biggest value? (a) 5 (b) -1 (c) t c Let f = -0.034 + 0.534. What is the third biggest value in 1, f, -1/4? -1/4 Let r = 4.4 - 4.6. Which is the fourth smallest value? (a) -3 (b) -2 (c) r (d) 3 d Let j be -6 - 4/2*-1. Let l be 0 + -3*j/(-9). Let k = 2.01 - 0.01. Which is the second smallest value? (a) -1/8 (b) l (c) k a Let o = 5 - 5.5. Let f = 0 + o. What is the second smallest value in -0.4, -0.2, f? -0.4 Let y = 0.1 + 0.1. Let r = -756.93 + 753. Let o = r + -0.07. What is the smallest value in o, 1/6, y? o Let y = 1285/13 + -99. What is the fourth biggest value in y, 0.3, -1, 3? -1 Let r = 6 + -2. Let k = -4.2 + r. Which is the second biggest value? (a) k (b) -4 (c) 2 a Let z = 0.533 - 0.033. Let j = 468/35 - 69/5. What is the smallest value in j, z, 4? j Let i = -23 - -15. Let l = 8.5 + i. Which is the second smallest value? (a) 3 (b) 4 (c) l a Let d be 8/50*(-9 + 4). What is the second biggest value in -0.1, d, 4/7? -0.1 Let c = 0.1 - -0.2. Let i = c + -0.4. What is the third biggest value in 1/15, i, 5? i Let l = -4 + 4.3. Which is the fourth biggest value? (a) l (b) 0 (c) -0.4 (d) 0.4 c Let l(q) = q**3 - 5*q**2 - 7*q + 4. Let s be l(6). Let v be (s/(-18))/(3/6). Which is the third smallest value? (a) v (b) -0.5 (c) -2/15 a Let v = 1.07 - 0.57. Which is the smallest value? (a) -1 (b) 2/11 (c) v a Let j = 19 + -16. Suppose -3 = -j*n + 2*n. Which is the third biggest value? (a) -3 (b) n (c) 4 a Let f = 10/69 - -451/1173. Let k = -61/51 + f. Let u be -1 - (5/(-2))/5. What is the third biggest value in u, k, 3? k Let f = 182/5 - 36. What is the biggest value in f, -3, 0.1, -2/9? f Let m = -21 + 24. What is the biggest value in m, 1, 6? 6 Let u = 42157 - 209748/5. Let d = -208 + u. Which is the third smallest value? (a) 0 (b) -0.3 (c) d a Let z = 24.89 + -25. Let m = z - -0.17. Which is the third smallest value? (a) m (b) 5/2 (c) -2 b Let k be ((-7)/2 - -4)*794. Let d = k + -4361/11. Which is the second smallest value? (a) d (b) 0 (c) 3 a Let y(i
{ "pile_set_name": "DM Mathematics" }
et x be -21 + 21 + (4/14)/(-1). Let r = -1/7 - 32/21. Which is the second biggest value? (a) r (b) x (c) k a Let k be ((-117)/26)/(-9)*0. Which is the second biggest value? (a) 23 (b) k (c) -4 (d) 5 d Let o = 80 - 80.39. Let i = o + -8.61. Which is the biggest value? (a) i (b) -4 (c) 1 (d) 4/7 c Let i = -9.9 + 9.8. Let q = 0.8 + -0.4. Let g = -1 - -1.2. Which is the second biggest value? (a) q (b) i (c) g c Let i be 22/22 - (-1 + 0/(-2)). Suppose -2*t = -2*w + 12, 2*t - 2 = -i*w - t. What is the third smallest value in w, 1, -0.5? w Let h = -2 + 15. Let k = h + -12.4. Let p = 0.8 - k. What is the second biggest value in 5, -5, p? p Let u = -10.06 - -10. Let r = 0.09 + u. Let m = r + -0.43. What is the biggest value in -0.3, 0.2, m? 0.2 Let p = -1 + -2. Let y = -3.2 - p. Let z(m) = -2*m**2 + 12*m + 10. Let j be z(7). Which is the smallest value? (a) j (b) y (c) -3 a Let v = -185.5 + 186. Which is the second smallest value? (a) v (b) 23 (c) 0 a Suppose 5*v + 5*p + 9 = -6, v = 3*p + 9. Let u be (v - -1)/(1/(-11)). Let s = u + 43/4. Which is the second smallest value? (a) s (b) -1/2 (c) 0.3 a Let o = 2846 + -2847. Which is the biggest value? (a) 63 (b) o (c) -2 (d) -0.5 a Suppose 8*p - 30 = -1134. Let j be p/(-30) + -4 + 2 + -2. What is the biggest value in 29, j, 1? 29 Let o be 717/15 - -3 - 3. Let f = -47 + o. Which is the third smallest value? (a) f (b) 0 (c) 1 c Let p = -61.8 + 62. What is the third smallest value in p, 25, 5? 25 Let j be 4/144*3*3/1. Which is the fourth smallest value? (a) 3 (b) j (c) 0.5 (d) -1/5 a Let j = 314.5 + -315. Let w = -5.7 - -0.7. Let f = w - -3. Which is the third biggest value? (a) f (b) j (c) 5 a Let a = -2 - -2.5. Let t = a + 0. Let k = -4093 - -4091. What is the biggest value in 0.2, k, t? t Let k = -18 - -16. Let w = 0 - k. Let r = w + -6. Which is the smallest value? (a) r (b) -0.1 (c) 4 a Let q be (-22)/(-6) - 25/15. Let a be q*-1 - 341/(-186). What is the third biggest value in 3, a, -1? -1 Let r be 1 - (70/464 + 1). Let o be (12/16)/((-174)/(-64)). Let t = o + r. Which is the smallest value? (a) 2 (b) -2 (c) t b Let b = -7199/9 + 800. What is the third biggest value in 3/2, 111, -3, b? b Let i = -2351/28 - -586/7. Which is the smallest value? (a) i (b) 0 (c) 3/2 (d) -5 d Let k = 0 + 0. Let m be 5/(-30)*3/(-14). Let w = -89/140 + m. Which is the smallest value? (a) k (b) w (c) 5 b Let k = 9 + -8.75. Let c = k + -0.05. Suppose 11 = 4*a + t - 2*t, 3*a - 21 = 5*t. What is the smallest value in a, -1, c? -1 Let w(q) = q**3 - 10*q**2 - 13*q + 27. Let v be w(11). Let t be (-2)/3*v/(-20). Which is the third biggest value? (a) t (b) -4 (c) 0.4 (d) 6 a Let o = 1810/3 - 602. What is the smallest value in -4, o, 2/15, 22/3? -4 Let p = -2.92 - 0.08. Let v = -174 - -260. Let g = -86.3 + v. Which is the third biggest value? (a) -4 (b) p (c) g a Let f be ((-1848)/(-306) - 6)*-3. Which is the second smallest value? (a) 2/3 (b) f (c) -0.5 (d) 5 b Let m = -239.1 + 239. What is the smallest value in m, 10, -1/2? -1/2 Let q = -1.93 + 2.33. What is the third biggest value in q, -5, 0.226? -5 Let i = 0.5 - 0.9. What is the fourth biggest value in 1/4, i, -0.3, 0.5? i Let h = -1741 - -1736. Which is the third biggest value? (a) h (b) 5 (c) 0 (d) -0.2 d Let y be 2 + -8 + (-2806)/(-488). Let z = -2.02 + 0.02. What is the third smallest value in y, 0, z? 0 Let o = 38 + -30. Let h = 7.9 - o. Let j = 2 + -2.2. What is the second biggest value in h, -0.4, j? j Let m(r) = 42*r + 2. Let f be m(1). Suppose 3*c + 96 = -a - f, c - 2*a + 35 = 0. Let g be (3/c)/(2/6). What is the third biggest value in 2/7, -3/7, g? -3/7 Let v = -60 + 65. Suppose -v = -4*i - 9. What is the third biggest value in 2, i, 1/11? i Let b = 523.1 - 523. What is the second smallest value in b, -1/3, 0, -5/4? -1/3 Let w = -444 + 437. What is the smallest value in 2/3, w, -0.4? w Suppose -4 = 9*l - 10*l. Let t be (-3)/44 - (-1)/l. Which is the second biggest value? (a) -4 (b) 0.11 (c) t b Let u = 0.12 + 11.88. Let x = u - 24. Let i = x + 16. Which is the biggest value? (a) i (b) -4 (c) 2 a Let n be 16/(-9) + 2 + (-500)/630. What is the third biggest value in 3, -21, n? -21 Let r = -57.065 + 0.065. Let k = r - -61. Which is the fourth biggest value? (a) -3 (b) -0.2 (c) k (d) -3/5 a Let i = 2474 + -2473.7. Let m be 4/14 - (-72)/(-154). Which is the third biggest value? (a) 2 (b) 2/3 (c) i (d) m c Let l = -1625467/3888330 + -29/8362. Let k = l + 2/93. Which is the biggest value? (a) k (b) 0 (c) 6 (d) 0.5 c Let m = 36 - 17. Let o = m - 17. Let x = 33.3 + -33. Which is the second biggest value? (a) -5 (b) o (c) x c Let u = -30.79 + 31. Let p = -1.79 - u. Let z = -2.3 - p. Which is the second smallest value? (a) z (b) -5 (c) -1 c Let z be (511/21)/(-1*2/(-9)). Let t = 107 - z. Let i = -0.1 - 0. Which is the second biggest value? (a) t (b) -0.4 (c) i b Let g be 2 + -4*(-8)/(-4). Let w be -2 + 1 + (-2 - g). Suppose w = -3*r - 0*r. What is the biggest value in -2, r, 1/7? 1/7 Let v be ((-279)/930)/(3/(-4)). Which is the second smallest value? (a) 0.6 (b) -0.3 (c) v c Let i = 94 - 94.5. Let l be (0 + -1)/(4/(-20)). What is the second smallest value in l, 0.1, i? 0.1 Let d = -145 - -85. Let s = -65 - d. Suppose 2*f + 0*f + 4 = 0. What is the second smallest value in -0.3, s, f? f Let g be (-22)/(-40) - (-1)/4. Let i = -10.4 - -6.5. Let b = i + 4.9. What is the third smallest value in g, b, -3? b Let a = -0.89 - -1.79. What is the smallest value in -1/7, -3, 0, a? -3 Let x = -346.07 - -346. Let w = -1 - -2. What is the second biggest value in x, 1/10, w? 1/10 Let p = 0.1 - 0.27. Let n = -25 + 24.87. Let u = p + n. Which is the third biggest value? (a) -3 (b) 1 (c) u a Let q(g) be the second derivative of -g**3/6 - 2*g**2 - 2*g. Let z be q(-5). Let u = 2 - -3. Which is the smallest value? (a) u (b) z (c) 2/5 c Let b = -187/679 - 1/97. Let a(s) = s**2 + s - 2. Let t be a(-2). What is the smallest value in 8, 3, b, t? b Let d = -1363 + 1360. What is the third biggest value in d, -5/74, -3/4? d Let t = 156 - 464/3. What is the smallest value in t, -3, 5, -0.5? -3 Let o be 27/(-6)*(-6)/9. Suppose -o*d - d = -3*l + 22, 2*d + 12 = 2*l. Let t = -94 + 661/7. Which is the second biggest value? (a) l (b) 0.2 (c) t c Let u = -154.07 + 154. Which is the second biggest value? (a) u (b) 1/5 (c) 4 b Let g = 27.1 + -14.1. Let f = 2 - -15. Let c = f - g. What is the smallest value in c, -2, -2/7? -2 Let v = -37/11 + 218/55. Suppose -k + 5*o = 6, -2*k = -4*k - 3*o + 1. What is the smallest value in -0.2, k, v? k Let z = 0.021 - 0.521. Let f = -93 - -86.3. Let k = -7 - f. Which is the third biggest value? (a) 3 (b) z (c) k b Let y be 7 + (-15)/3 + 2/(-4). Which is the biggest value? (a) 54 (b) y (c) -4 a Let l = 90 + -359/4. Which is the third smallest value? (a) -13 (b) -1/6 (c) l c Let g = 203.5 + -203. What is the smallest value in g, -0.01, -3, -0.5? -3 Let q be (-12)/(-54) - 2/36. Let t = -10.21 + 0.21. Let w = t + 9. Which is the biggest value? (a) w (b) q (c) -5 b Let w = 446/3 - 149. What is the biggest value in -0.5, 0, w, 1/2? 1/2 Let j = -1.519 + 4.519. What is the second biggest value in -78, -1/3, j? -1/3 Let z = -2/443 + -1758/3101. What is the third biggest value in z, 212, 0.4? z Suppose -18 = 7*w + 3. What is the biggest value in -2, w, 1? 1 Let o = 7.06 - 6.96. Which is the second smallest value? (a) -1 (b) 2/3 (c) o (d) 6 c Let d = -218 - -218.1. What is the fourth smallest value in 11/5, 0, 0.4, d? 11/5 Let j = 72 - 73. Let n = -11.6 - -6.6. What is the third biggest value in -18, n, 5, j? n Let y = -1.1293 - -3.1293. Let l = -4 - -1. Which is the third smallest value? (a) y (b) 2/9 (c) l a Suppose -w - 15 + 12 = 0. Let i = -0.3 - 0.2. What is the fourth biggest value in w, -4, i, 0.5? -4 Let s = -1384 + 15238/11. What is the biggest value in s, -3/7, 0.7? s Let t = -359 + 358. Which is the third biggest value? (a) -14 (b) t (c) -1/12 a Let k(l) = -l**3 + 5*l**2 + 5*l + 2. Let f be k(4). Let o be 6/f*(-16)/(-24). Let i be 2/9 + 14/18. What is the second biggest value in -2, o, i? o Let x = -0.47 + 4.17. Let w = 1.7 - x. Let f be 2/(-12) + (-361)/22
{ "pile_set_name": "DM Mathematics" }
+ (20 - 23). -4 What is the value of -3 + 0 + 2 + 2? 1 What is 10 - (-6 + 4 + 8 - 0)? 4 What is -2 + -5 - (-3 - 14)? 10 Evaluate -1 + -1 - 3 - (0 + -1). -4 What is the value of 1 + (-5 - -2) + 5 + 0? 3 What is 2 + (8 - (-3 + (20 - -4)))? -11 Calculate -8 - (-6 + 5 + -5). -2 (5 - (0 + -1)) + -4 2 Calculate (-1 - (1 + 1)) + (26 - 24). -1 (-9 - (-2 + -1)) + (16 - 17) -7 What is the value of -28 + 18 - (-6 + -1)? -3 Evaluate -8 + -1 + 15 + -12 + -2. -8 What is the value of 1 - 6 - (-25 + 19)? 1 Evaluate 14 + (3 - 3) - 7. 7 What is 1 + -1 - (7 - (13 - 2))? 4 Calculate -5 + 2 + (4 - 1) + -5. -5 (5 + 4 - 7) + 4 6 What is the value of 4 - (4 + (5 - 10) + 4)? 1 Calculate (-5 - -17 - 5) + -3. 4 Calculate (1 - -3) + 3 - 3. 4 Calculate (-6 - -14) + (1 - 7). 2 Evaluate -1 + 4 - (-4 - (4 + -16)). -5 What is the value of (3 - 10) + 5 + 13 - 3? 8 (-3 - 1) + -2 + 8 - 1 1 Evaluate 1 + -5 - (-4 - (4 + -2)). 2 What is 2 - (8 + -7 + 8)? -7 Evaluate -6 + (-6 - (7 - 6)) + 5. -8 What is -8 - (3 + 0 - (5 + 0))? -6 Evaluate 3 - (12 + -6 + -6). 3 Calculate 11 + (-10 - -14) + -4. 11 Calculate (-8 - -12 - 8) + -1 + 8. 3 Evaluate 4 + -3 + 3 + 1 + -11. -6 -3 - (-4 - (-6 + 3)) -2 -19 + -10 + 23 + 6 0 What is 8 - ((8 - 5) + 11)? -6 Calculate -6 - -8 - 7 - 0. -5 What is the value of -10 + -9 + 12 + 3? -4 What is the value of (1 - -1 - -1 - 8) + 9? 4 Evaluate 25 - 22 - (-1 + 6). -2 What is the value of 9 - (6 - (7 - 5 - -4))? 9 What is (-1 - (-8 + (-1 - -4))) + -10? -6 -1 + -2 + 0 - (-4 - 4) 5 -7 - -3 - -5 - (5 - 1) -3 What is 0 - ((1 - (2 + -3)) + 0)? -2 What is -4 + 1 + 45 + -40? 2 Evaluate 0 - 0 - -4 - -1. 5 What is the value of -1 + 0 + (2 - 1) - -2? 2 Calculate 1 + 1 + -2 - -1. 1 Calculate -2 - (5 + (-8 - 5 - -5)). 1 0 - ((5 - 0) + (17 - 19)) -3 Calculate -8 + 0 + -4 + 7. -5 What is 5 + (4 - 1 - 21) + 6? -7 Calculate 1 + 4 + (9 + -6 - 13). -5 Evaluate -5 - -7 - -6 - 13. -5 What is the value of 2 + -2 - ((-1 - -3) + -1)? -1 -5 + (1 + -3 - -3) -4 (-7 + 1 - -4) + 6 4 What is the value of (-2 - -2 - 0) + 4 - 3? 1 Calculate -4 + 2 + 3 + -2. -1 What is the value of (-3 + 3 - -3) + 0? 3 What is the value of -4 + 3 + (-3 + 4 - 6)? -6 What is -2 + (8 - -2) + -2 + -1? 5 Evaluate (6 - 0) + -2 + 1. 5 What is (6 - 3 - 2) + -1 + -3? -3 What is the value of -1 + -4 - ((-5 - 3) + 6)? -3 What is the value of -2 + (6 - (1 - 2)) + -2? 3 What is 4 + (2 + -8 - -12 - 3)? 7 What is (-22 - (26 + -55)) + (-18 - -1)? -10 What is the value of 1 + 2 + (6 - (12 + -4))? 1 -3 + (18 - 16 - (-1 + 0)) 0 Evaluate -3 + (2 - 5) + (4 - 2). -4 Evaluate 7 + 4 - (28 - 10). -7 Calculate -4 + (1 - (-3 + 6) - -2). -4 -1 + (-4 - -11) + -1 5 Evaluate 2 - (-3 - (4 - 9)). 0 Evaluate (2 - -3) + -25 + 22 - 2. 0 Evaluate 0 + (2 - (2 + -8)) + -3. 5 What is the value of -20 - -16 - (-2 - 0)? -2 Evaluate (-2 - 3 - -12 - 4) + 1. 4 What is 2 + 0 + 1 + 1? 4 (-3 - (3 - (10 - 2))) + 0 2 What is the value of (-2 - -5) + (38 - 39)? 2 What is -6 + (-2 - (-12 + 5))? -1 Evaluate -7 + 19 + (-8 - -3 - 1). 6 5 - ((2 - -1) + (-1 - -2)) 1 What is 5 + 0 - (-13 - -21)? -3 What is -2 - (-11 + 6 + 6)? -3 Calculate (-3 - -2) + 2 + 3. 4 Calculate -1 + (-2 - (-2 - -2)) + 1. -2 Evaluate -5 + 0 - -2 - -8. 5 Calculate -5 - (3 + -1 - (5 + -3)). -5 What is -2 - (-3 + -4) - 1? 4 What is the value of (6 - 7) + (1 - 0)? 0 Evaluate 1 + 2 + 7 + -12 - -3. 1 What is the value of 3 + 0 + -3 + 1? 1 What is the value of -18 - -8 - 6 - -10? -6 What is -2 + 1 + (-2 + -7 - -9)? -1 Evaluate -12 - -1 - (-19 - -7). 1 Evaluate 2 + -11 + 8 + -2. -3 What is -2 + 0 - (-7 - (-5 + -5))? -5 Evaluate -4 + (-25 + 13 - -13). -3 (3 - 11) + (12 - 5) -1 Calculate 6 + -2 + 2 + (3 - 7). 2 What is 4 + 11 + -26 + 19? 8 What is the value of 6 + (9 - 4 - 5) + 1? 7 Evaluate 0 + (2 - 3) - (-15 - -9). 5 -3 + 1 + 3 + 3 4 Calculate (-7 - (-2 + 4)) + (-19 - -25). -3 Calculate 0 + -1 + (2 - 2 - -5). 4 Calculate (5 - (0 + 1)) + (-32 - -27). -1 Evaluate -9 - ((5 - 0) + -19). 5 What is the value of (0 - 5) + 4 - (5 + 3)? -9 Evaluate 18 - (-5 + -9 + 25). 7 -11 + 3 + 4 + 3 + -3 -4 Calculate 3 - (-2 - (-3 - (-4 - -8))). -2 What is the value of 4 - 12 - (1 - (6 + -2))? -5 What is the value of -4 + -2 + 3 + (0 - -5)? 2 (2 - 4) + 3 - 1 0 What is 2 - (-1 + 7 + 0)? -4 (-6 - -3) + 0 + 5 2 Calculate -26 + 20 - (-4 + 5 - 3). -4 Evaluate 1 + -3 + -1 - -6. 3 What is (-1 - 0) + -5 - (1 - 5)? -2 Evaluate -15 - 7 - -4 - -10. -8 Calculate 3 - (-13 - (7 - 14)). 9 Evaluate 1 - 1 - (0 - (7 - 2)). 5 Calculate (3 - 2) + (-4 - (-3 - 1)). 1 (9 - 3) + (-9 - 0) -3 Calculate -2 - (-5 - -6) - -6. 3 Calculate -1 + 1 + -1 + 2. 1 Calculate 4 + 1 + -3 + 7 + -9. 0 -6 + 16 + -6 + -1 3 Evaluate -8 + 3 - (7 + -12). 0 What is the value of (26 - 18) + (-2 - 10)? -4 3 + -12 + 5 + -2 - -12 6 What is the value of 10 + 7 + -5 + -8? 4 What is 5 - (2 - (2 - 1))? 4 Evaluate 4 + (-4 - -5) - 1. 4 Evaluate 6 - (1 + 1 + -1). 5 Calculate 1 - (4 + 7 + (2 - 6)). -6 Calculate -11 + -5 - -17 - (-1 + 1). 1 What is the value of -2 + -1 + 7 - 2 - 7? -5 What is -1 + (-3 - 3) - (0 - 3)? -4 What is 0 + -1 + 1 + 3 + 1? 4 Evaluate -12 - -6 - -3 - (-5 + 5). -3 Evaluate 2 + -7 - (1 - 1). -5 2 + 1 - ((4 - -8) + -11) 2 What is the value of 8 + (2 - 8 - (4 - 5))? 3 What is the value of (1 - 2) + (-15 - -18)? 2 2 + -4 - 2 - -6 2 Calculate -93 + 102 + (-1 - -1). 9 What is the value of (-7 - 3) + (38 - 34)? -6 (-3 + (0 - -3) - -5) + -1 4 Calculate (0 - -4) + -9 - -6. 1 What is the value of 2 + 0 + (0 - (-7 + 10))? -1 What is the value of -2 + 2 + -2 + 6 - 3? 1 What is the value of -5 + (-3 - -6) - 2? -4 What is -9 - (-4 - (11 + -5))? 1 What is the value of 11 - (6 + -9 + 21)? -7 Calculate -8 + 3 + 7 + 6. 8 Calculate -3 + 3 + (-4 - -5). 1 What is the value of (4 - (-3 - -7 - -1)) + 0? -1 Evaluate -8 + 7 + 0 + -3 + 1. -3 6 + -3 + 1 + (-7 - -7) 4 What is the value of 4 - 2 - (16 + -12)? -2 11 - 6 - (9 - (7 + -3)) 0 What is -4 - -2 - -6 - 2? 2 What is the value of -5 + 7 + -2 + 8? 8 Calculate (-9 - 1) + 1 + (-3 - -8). -4 Evaluate 4 - (3 - (3 - 3)). 1 Calculate -4 - (3 - -3 - 9). -1 Calculate (-5 + -3 - -8) + 2 + -1. 1 What is the value of -1 - 5 - (-33 - -8 - -11)? 8 Calculate 4 + -1 + -2 + 0. 1 -6 + -11 + 4 - -15 2 Calculate (0 - 1) + 82 + -74. 7 Calculate (3 - 0 - (0 - -1)) + -3. -1 1 + -5 - -2 - (-8 - -3) 3 What is (-2 - 0) + 4 + 3 + 0? 5 Evaluate 9 + -2 + -12 + 2. -3 Calculate 0 + (8 - (4 - 0)). 4 (3 - 3 - (-3 + 3)) + -3 -3 -1 - (-5 + 2 + 2) 0 Calculate -2 - (0 - -1) - -3. 0 Calculate -1 + 7 + -1 + 5 + -5. 5 What is the value of 0 - 7 - (-1 - 4)? -2 Evaluate -9 + (-3 - -9) + -2. -5 What is the value of 6 + (1 - 16 - -4)? -5 What is the value of 11 - (-3 - -1 - (6 - 14))? 5 -11 + (4 + 9 - 5) -3 1 + 3 + -10 + (-2 - -11) 3 0 + -2 + -5 - (-7 + 4) -4 What is the value of 2 + -3 - (-2 - 2)? 3 What is the value of (3 - (0 - 2)) + -6? -1 Evaluate -3 + 0 + -3 - (-5 - -2). -3 What is the value of (3 - 8) + 1 + (7 - 0)? 3 Evaluate -1 + 7 + (-4 - 4). -2 Evaluate -7 - -2 - (-12 + 9). -2 1 + (-6 - (3 - 8)) 0 What is the value of (6 - (13 - 1)) + 2 + 2? -2 14 - (12 - (-13 + 9)) -2 What is the value of -7 + 5 + -5 + 11 + -13? -9 Evaluate 21 + (13 - 13) + -13. 8 What is the value of (1 - -1) + -11 - (-7 + 1)? -3 Evaluate 1 - (-3 - (4 - (5 - 1))). 4 What is the value of -1 + (5 - (-1 + 7) - -2)? 0 What is 6 + (-4 - (-4 + 6)) - -3? 3 Calculate -2 + -2 + (-10 - -8) - -4. -2 What is the value of -13 - (2 + -8 + 0 - -3)? -10 What is 0 + -1 + -3 - (-64 + 58)? 2 Calculate -3 + -1 - (26 - 19). -11 -2 - (-3 + (4 - 0)) - 2 -5 What is (5 + 0 - 5) + 9 + -4? 5 What is -2 + (-2 - (-10 + 3))? 3 Calculate 6 + (-1 + -3 + 1 - -2). 5 -1 + 2 + 0 - (5 - 2) -2 What is the value of -6 + 3 - (8 - 10)? -1 Evaluate 3 + 3 + -1 + (1 - 6). 0 Evaluate -3 - (1 - 4 - 1). 1 Evaluate (2 - 1) + 12 + -15 - 8. -10 (-7 - ((-2 - 0) + -6)) + 8 9 Calculate -3 - 8 - -2 - -7. -2 What is -2 + (-4 - -6) - -4? 4 Calculate -11 + (14 - (-1 + 7)). -3 Calculate 7 + 9 + -14 + 2. 4 Evaluate 3 - (-3 + (-3 - -14) + 0). -5 Calculate -2 + (-9 - -5) + 12 - 8. -2 (0 - -2) + -2 + 2 + -7 -5 What is the value of (-2 - -5) + -12 - -2? -7 What is the value of 59 - 65 - (-8 - (0 + -1))? 1 -2 + -5 + 2 - -1 -4 What is the value of (0 + 0 - -3) + -2 + 2? 3 Calculate 2 - (-1 + -1 - -1). 3 Evaluate 2 - (-3 + 3 - -4). -2 What is (2 - (-1 - -3))
{ "pile_set_name": "DM Mathematics" }
+ 4*o - 11*o as j*o + h and give j. -19 Rearrange -4*u + 9*u - 4*u - 5*u to the form x + a*u and give a. -4 Rearrange 6 - 67*w**2 - 19*w**2 - 6 to f*w + k*w**2 + b and give k. -86 Rearrange -13*z**2 + 10*z**2 + 0 + 6 to the form l*z**2 + g + t*z and give l. -3 Express (2*l - 2*l + l)*(-l**3 + 2*l**3 + 0*l**3) + (3*l**2 + l**4 - 3*l**2)*(3 - 5 + 5) in the form n*l**4 + j*l**3 + p + y*l + c*l**2 and give n. 4 Express -8 + 2*l**2 + 3 - 8 as r + t*l + i*l**2 and give i. 2 Express t**2 - 8*t**2 - 5*t**2 - 3*t**2 in the form a*t**2 + p + s*t and give a. -15 Express (-3 - 2 + 3)*(5 - 3 - 5)*(-13 + 13 - 23*r**2) as q*r + p*r**2 + i and give p. -138 Rearrange -1 + 8*u**2 - 5*u + 13*u**2 + 4*u - 2*u**3 - 23*u**2 to y*u**2 + g*u + k*u**3 + a and give k. -2 Express ((-2 - 4 + 4)*(-2*q - 2 + 2) - q - 1 + 1)*(5 + 2*q**3 - 5) + 4*q**4 + q**4 - 4*q**4 in the form k*q + a*q**4 + l*q**3 + n*q**2 + i and give k. 0 Rearrange 3 - 3*d**3 + 2*d**2 + 10*d**3 - 3 to z*d**3 + a*d**2 + m + h*d and give z. 7 Rearrange (3*x - x + 0*x)*(-7 + 3 + 2)*(5*x - x - 3*x)*(2*x**2 - 12*x - x - 3*x) to the form b + y*x**4 + r*x**3 + d*x + n*x**2 and give y. -8 Express -8*c**2 + 2 - 2 - 2*c**2 as r*c**2 + u + s*c and give u. 0 Rearrange (-3 - 1 + 0)*(2 - 2*d - 2)*(0*d - 3*d + d) to the form n + k*d + l*d**2 and give l. -16 Rearrange -3*i**2 - 2*i**3 + 2*i**3 - i - 2*i**3 + 2*i**4 to r*i**2 + u*i**3 + q*i**4 + k*i + w and give u. -2 Rearrange -3 + 3 + 36*p**2 + 5*p**2 to the form v + m*p + a*p**2 and give a. 41 Rearrange 15*a + 9 - 19 + 6 + 2 to the form v*a + c and give v. 15 Rearrange -1 + 6*u**2 - u**2 + 1 to c + h*u**2 + d*u and give h. 5 Rearrange (-73*i**3 + 143*i**3 - 11*i**2 - 66*i**3)*(-2 + 5 - 2) to a*i**3 + x + w*i**2 + s*i and give a. 4 Rearrange -9*z - 2*z**2 + 47*z + 29*z to w*z**2 + o + i*z and give i. 67 Rearrange -2 + p + 4 + 0 + 5*p**3 + 8 to the form c*p + n*p**2 + d + w*p**3 and give w. 5 Express (3*k - 5*k + 3*k)*(4 + 0 - 2) + 0*k + 4*k - 3*k + (-1 + 1 - 1)*(-6*k + 2*k + 3*k) + 3*k + 8 - k + 1 in the form l + c*k and give c. 6 Express (1 - 2 + 4)*(4*r**3 - 3*r**3 + 3*r**3) in the form k + y*r + z*r**3 + a*r**2 and give y. 0 Rearrange z**2 + z + 561*z**4 + 0*z**2 + z**3 - 562*z**4 - 2*z**3 to the form q + l*z + p*z**2 + r*z**3 + w*z**4 and give w. -1 Express 2*m**4 - 4*m**3 - m**4 - 4*m**3 - 271*m + 272*m as b*m + n*m**3 + d*m**2 + x + z*m**4 and give n. -8 Express (1 + 2*l - 1)*(-4 + 3 + 2) + 16*l - 70*l - 28*l as c + s*l and give c. 0 Rearrange (k + 3*k - 2*k)*(-k - k + 4*k) + (-10*k**2 - 9*k**2 - 2*k**2)*(2 - 2 + 1) to o + p*k + v*k**2 and give v. -17 Rearrange 12*v**2 - 99*v**2 - 19 + 19 to the form b*v + h*v**2 + z and give h. -87 Express -561 + 0*i + i**2 + 0*i + 564 as h*i**2 + o*i + q and give h. 1 Rearrange 3*p - 26*p**2 + p - 3*p to the form q*p + n*p**2 + h and give h. 0 Rearrange c**2 + 2*c**4 - c**2 + (0*c**4 + 0*c**4 - c**4)*(-3 + 4 + 0) + 24*c**4 - 23*c**4 - 16*c**4 to the form s + n*c**3 + d*c**4 + z*c**2 + l*c and give d. -14 Rearrange (3*d**2 - 2*d**2 + 0*d**2 + (3 - 3 - 2)*(0*d**2 + d**2 + 0*d**2))*(-11 - 9 + 0) to the form t + o*d**2 + k*d and give o. 20 Rearrange -3*l**4 + 0*l**4 + 2*l**4 + (-30*l + 30*l - 8*l**2)*(669 - 669 + 8*l**2) to the form a*l**4 + n*l**3 + r*l + w + s*l**2 and give a. -65 Rearrange 4 + 11*v - 3 - 1 to z + u*v and give z. 0 Express -10*q - 7*q - 4 + 18*q as r + s*q and give s. 1 Express 3 - 38*u + 4*u**3 + 36*u + 3*u**4 - 5 as q*u**2 + h*u + k + o*u**4 + s*u**3 and give k. -2 Express 0*p - 22 - 3*p + 7*p in the form o + v*p and give o. -22 Rearrange (5 - 7*b - 5)*(5*b**3 - 2*b**3 + b**3) to j + f*b**2 + r*b**4 + p*b + k*b**3 and give r. -28 Rearrange 3 + 10*g**3 - 2 + g - 1 to l + c*g**3 + p*g + u*g**2 and give c. 10 Express 0*g**2 - g**3 + 0*g**2 + (g - 3*g + g)*(2*g**2 + 2*g**2 - 6*g**2) + 3*g**3 + g**3 + g**3 as p*g**3 + x*g + s + k*g**2 and give p. 6 Express (4*t + 2 - 2)*(2 + 0 + 0)*(2 - 1 + 0)*(5 + 0 - 3) as l + n*t and give n. 16 Rearrange -5 - w**2 + 0 + 9 to the form z*w**2 + s + t*w and give z. -1 Express k + 2*k**2 - 8 + 0*k**2 - 3*k**2 - 2 in the form h*k**2 + o + t*k and give t. 1 Rearrange r**2 + 12 + 10 - 5 + r**2 to the form p + v*r + b*r**2 and give b. 2 Rearrange -108*n + 112*n + n**2 - n**3 + 3*n**3 to l + u*n + p*n**2 + x*n**3 and give u. 4 Express -4 - 5*u**2 - 2 + 4 - u**2 as f*u**2 + l + q*u and give f. -6 Express -931*o**2 - 2*o**3 + 933*o**2 - 10*o**3 - 4*o in the form u*o + h + l*o**3 + t*o**2 and give l. -12 Rearrange -9*l + 2*l + 3*l to the form h*l + w and give h. -4 Express 3*x**3 - x**3 - 3*x**3 + (-2*x**2 + 0*x**2 + 8*x**2)*(3*x - 2*x + x) in the form l + t*x**3 + c*x**2 + f*x and give t. 11 Rearrange (-2 + 2 + r + (-1 + 2 + 1)*(-4*r + 6*r - r) + 0*r + 0*r - r - 5*r - 7*r + 13*r - 2 + 2 + 2*r)*(-2 + 2 + 2) to z*r + h and give z. 10 Express s**3 + 16*s - s**3 - s**4 + s**3 - 1 - 15*s in the form f*s**3 + n*s**4 + d + g*s + b*s**2 and give d. -1 Express 2*o - 3*o**2 - 4 + 4*o**4 + 3 + 3*o**2 in the form t*o**2 + a*o**3 + y + v*o + g*o**4 and give g. 4 Rearrange 0*y - 10*y**3 - 10*y**3 + y - 24*y**3 to d*y**2 + z + g*y + p*y**3 and give d. 0 Rearrange (-2*q + 3*q + q)*(-37 + 37 + 47*q**2) to s*q**3 + k*q**2 + u + t*q and give s. 94 Rearrange (-n + 3 - 3)*(1 + 3 - 2)*(19 + 7 - 8)*(-1 - 2 + 1) to the form y + a*n and give a. 72 Rearrange -2*r**4 + 2*r + 4*r**4 - 2*r**3 + 3*r**2 - 3*r**2 to the form u*r + p*r**2 + a*r**4 + k + y*r**3 and give y. -2 Express x - 4*x**3 - 12*x**2 - 3*x**2 + 2*x**3 - 4*x**2 in the form n*x**3 + d*x + z + g*x**2 and give d. 1 Express -150*n**3 - 162*n**3 + 359*n**3 - n**2 as x + s*n + p*n**2 + b*n**3 and give p. -1 Express 16 - 6 - 7 - 5 - c in the form x*c + r and give x. -1 Express (3*h**3 - 5*h**3 - h**3)*(3 - 3 + 1) - 5*h**2 + 2*h**3 + 5*h**2 + 6 - 6 + 2*h**3 in the form z + o*h + l*h**3 + v*h**2 and give v. 0 Express -18*a**2 + 9*a**2 - 4*a + 4*a as b*a + r*a**2 + q and give r. -9 Express 31 - 8 - k + 3 + 17 in the form u + x*k and give x. -1 Rearrange (-i**2 + 0*i**2 - i**2)*(-22*i + 135 - 135)*(2*i - 2*i + i) + 4*i**3 + 2*i**4 - i**3 + 0*i**3 to z*i + d*i**3 + w + j*i**4 + p*i**2 and give d. 3 Rearrange -4 + v + 1 + 4 + 3*v + 3*v - 4*v + (4*v + 1 - 1)*(3 - 6 + 4) to the form j*v + s and give j. 7 Rearrange 0*i**2 + 2*i**2 + 0*i**2 + (2*i - 2 + 2)*(-i - 2*i + 0*i) to q*i + n*i**2 + r and give r. 0 Rearrange -2*k + 6 - 8 + k**3 + 3*k**3 - 3*k**3 + k**2 - k**4 to the form x*k**2 + b*k**3 + t + u*k**4 + c*k and give x. 1 Rearrange 3*d - 3*d**3 - 3*d - 1 - 4 - d to f*d**2 + c*d + o + a*d**3 and give a. -3 Rearrange -5*q**3 + 8*q - 2*q**3 + 6*q**3 - 1 to the form y*q**2 + d + u*q**3 + b*q and give b. 8 Express (19 - 3*v - 19)*(1 - 3 + 1)*(3 - 3 + 1 + (-3 + 0 + 2)*(-1 + 0 + 3)) in the form z + h*v and give h. -3 Rearrange (4*g**2 - 3*g**2 + 0*g**2)*(2 - 1 - 2)*(8 + 8 - 2) to the form i*g**2 + r + a*g and give i. -14 Rearrange (1 - 1 + q)*(-5 - 2*q + 5)*(-4*q**2 + q**2 - 19*q**2) to the form v*q**3 + w*q + o + r*q**2 + i*q**4 and give i. 44 Rearrange -12 + 2*r**2 + 24*r**3 + 7 + 6 - 19*r**3 to the form i + j*r**2 + p*r + x*r**3 and give p. 0 Express -f + 3*f - f + 3*f as r + y*f and give y. 4 Rearrange 15*x + x**3 + 1 - 2 + x**2 + x**3 - 13*x to the form f + w*x + v*x**2 + d*x**3 and give v. 1 Rearrange (-r**2 - r**2 + r**2)*(-53*r + 53*r + 28*r**2) to the form y*r + p*r**3 + n*r**4 + m*r**2 + g and give n. -28 Express 27*m - 3 - 2*m**2 - 44*m + 19*m as p*m**2 + g + c*m and give c. 2 Rearrange (-j + j - j)*((-2 + 6 - 2)*(-3 + 3 + 2*j) + 2*j + 0 + 0 - 6 - 3*j + 6) - 3*j**2 + 3*j**2 - j**2 to the form v*j + w*j**2 + t and give w. -4 Express 0*h**3 - 4*h + 4*h + 2*h**2 + 8*h**3 as x*h**3 + r*h + t*h**2 + z and give x. 8 Express 4*p**4 + p**2 - 5*p**4 - 46*p**2 + (2*p**3 + p**3 - p**3)*(3*p + 0*p - p) as w*p + y*p**4 + c*p**2 + f + g*p**3 and give c. -45 Rearrange (-2 + 0 + 3)*(-8*v + 94*v - 12*v) + (0 - v + 0)*(1 - 1 + 2) to s*v + l and give s. 72 Rearrange 2*u - 14*u**4 - 2*u - u**3 + 9*u**2 + 11*u**4 to q*u**4 + m*u**3 + c + l*u**2 + s*u and give m. -1 Express (-n - n + 8*n)*(2 + 0 - 4)*(2 + 4 - 4)*(-2 - 2 - 2) as s + i*n and give i. 144 Rearrange -9*a**2 - 4*a**4 + 2*a**3 - 8*a**2 + 16*a**2 to the form y*a**3 + v*a + o + x*a**2 + n*a**4 and give y. 2 Rearrange 12
{ "pile_set_name": "DM Mathematics" }
Let v = 7 + -3. Calculate the remainder when t is divided by v. 1 Let m(r) = -r**3 + r**2 + 33*r - 61. Calculate the remainder when (-739)/(-3) - (-4)/6 is divided by m(4). 17 Suppose 0 = -5*v - 4*s + 1564, 3*v - 7*v + 3*s = -1276. Calculate the remainder when v is divided by 74. 20 Let g be 120*(-5 + (-175)/(-20)). Suppose 14*s = 4*s + g. Suppose r + 718 = 5*r - 5*b, 3*r + 5*b = 521. What is the remainder when r is divided by s? 42 Calculate the remainder when 575 is divided by ((4/(-35))/(20/70))/((-7)/9940). 7 Suppose -r + 437 = 185 + 129. Suppose -4*o + 26 = -30. What is the remainder when r is divided by o? 11 Suppose 0 = -170*l + 166*l + 5*i + 372, -2*l + 208 = 3*i. Calculate the remainder when 159 is divided by l. 61 Suppose 0 = 5*n + m - 16556, -1007*n + 2*m = -1009*n + 6616. What is the remainder when n is divided by 65? 62 Suppose -3*m - 10 = -2*z + 4, 0 = -m + 3*z. Let a(x) = x**3 + 8*x**2 + 9*x + 7. What is the remainder when (-1)/(((-15)/288)/5) is divided by a(m)? 21 Let q(p) = p**3 - p - 4. Suppose 11*d - 6*d - 85 = 0. Suppose u - 6*u = -k - d, -2*k = -u + 7. Calculate the remainder when 97 is divided by q(u). 17 Suppose 3*o = -4*x + 95, -2*x + 4*o = 6*o - 48. Suppose -2*m + 25 - 13 = 0. What is the remainder when x is divided by m? 5 Let h(r) = 76*r**2 + 475*r + 1426. What is the remainder when h(-3) is divided by 406? 279 Suppose 9*i - i = -521 + 1569. Calculate the remainder when 1309 is divided by i. 130 Let y be (-3*2)/(23/(-874)). Suppose o = 3*h - y, -5*o = 3*h - h - 169. Calculate the remainder when 153 is divided by h. 76 Let s(j) be the third derivative of 0 + 24*j**2 - 1/6*j**3 + 0*j - 1/8*j**4. What is the remainder when s(-21) is divided by 33? 29 What is the remainder when 115 is divided by (-3)/(-2)*128/6? 19 Let z be 2/10 + (-484)/220. Let d(f) = -31*f**3 - 2*f**2 - 2*f + 1. What is the remainder when d(z) is divided by 31? 28 Suppose -26*f + 22 = -15*f. Suppose 0 = 8*i + f*i - 110. Calculate the remainder when 41 is divided by i. 8 Let n = 513 - 346. Suppose -8*a + 57 = -n. What is the remainder when 104 is divided by a? 20 Let o be (-15 + 15)*(-1)/(-2). Suppose -7*f + 2*f + 545 = o. Suppose -3*i = -f - 17. Calculate the remainder when i is divided by 13. 3 What is the remainder when 546 + (10 - -1)/1 is divided by 173? 38 Let p be 2 + -2 + -1 + 7. Let c be (18/(-12))/(3/p). Let b = c + 29. Calculate the remainder when 128 is divided by b. 24 Suppose 3*q - 5790 = 3*j, -4*q - 845*j = -842*j - 7727. What is the remainder when q is divided by 481? 7 Calculate the remainder when 496 is divided by 0 + -2 - (-90 + -1) - 6. 81 Suppose 6*y = 1090 - 424. Let m = 188 - y. What is the remainder when m is divided by 10? 7 Suppose -3*j + 29 = -1. What is the remainder when (-4)/15 - 1441349/(-9165) is divided by j? 7 Suppose -2*v + 4*y = -60, 5*v + 0*y + 5*y = 195. Let i = v + -33. Suppose -11*g = -i*g - 56. What is the remainder when 34 is divided by g? 6 Suppose -4*x = -2*w + 26, 0*w + 4*w - 72 = -2*x. Let h = 12885 - 12879. Calculate the remainder when w is divided by h. 5 Suppose -33*d - 57 = -14*d. Calculate the remainder when 110 is divided by 54/(-36)*112/d. 54 Let j = -11 + 17. Suppose 552 = 9*v - j*v. Calculate the remainder when v is divided by 40 - (-4 + 10)/2. 36 Let z(w) = -5*w + 55. Let q be 0*(2/(-12) - 42/126). Calculate the remainder when 326 is divided by z(q). 51 Suppose -3*t = 0, 2*f + 2*t = 4*f - 164. Suppose 79*z - f*z + 237 = 0. Suppose 0 = 18*o - 155 - z. What is the remainder when o is divided by 4? 1 Let a(s) = 23*s**2 + 80*s - 159. Calculate the remainder when 315 is divided by a(2). 36 Let b(c) = -c**3 - 108. Let z be b(0). Let x(m) = 8*m**2 + 4*m + 10. Let l be x(-2). Let y = l - z. What is the remainder when y is divided by 24? 22 Let k(v) = 210*v**2 + 2*v + 1. Let r be k(-1). Let u = r + -141. Let c = 77 - u. Calculate the remainder when 17 is divided by c. 8 Let s be 5 + (-5 + 1)/4. Calculate the remainder when (-1575)/(-14) - s/(-8) is divided by 38. 37 Let z = -4423 + 4434. Calculate the remainder when (-2)/(-8) + (-630)/(-8) is divided by z. 2 What is the remainder when (-2 - 10*33)*16/64*-4 is divided by 139? 54 Let a(l) = 26*l - 188. What is the remainder when 8683 is divided by a(15)? 199 Let m = -757 - -757. Suppose -29*r + 3928 + 14893 = m. Calculate the remainder when r is divided by 25. 24 Let g(a) = 3*a**2 + a - 3. Suppose -2*i + z = 2*z - 481, 4*z + 263 = i. Calculate the remainder when i is divided by g(-4). 38 Suppose -3 - 7 = -2*v + 3*k, -4*v + k = -40. Let a = v + 2. Suppose -a*m + 655 = -34. What is the remainder when m is divided by 7? 4 Let h = 442 + -315. Let y be (-2)/(-11) - (-20)/(-110). Suppose -4 = 4*j, y = -t - 0*t - 3*j + 13. What is the remainder when h is divided by t? 15 Let v = -56 + 16. Let j be ((-132)/99)/((-4)/177). Let d = v + j. What is the remainder when 93 is divided by d? 17 Suppose -243 = -350*g + 323*g. Calculate the remainder when 3275 is divided by g. 8 Suppose 0 = -3*l + 5*o + 19, -o - 5 = -6*o. Let p(b) be the third derivative of -3*b**4/8 + 17*b**3/3 - b**2. What is the remainder when p(-5) is divided by l? 7 Let l = -461 - -483. Let j(o) = -4*o - 5. Let u be j(-2). Suppose u*d = -5*m + 3*m + 24, d = 4*m - 6. What is the remainder when l is divided by d? 4 Let k(y) be the second derivative of 2*y**4/3 + 5*y**3/3 + 9*y**2/2 + 37*y + 2. Calculate the remainder when k(-3) is divided by 19. 13 Let s(a) = -6*a**3 + 39*a**2 - 11*a - 10. Calculate the remainder when 3035 is divided by s(6). 27 Calculate the remainder when 42900/32 + 0 + (-183)/(-488) is divided by 230. 191 Let r = 22 + 6. Let d = 179729 - 179657. What is the remainder when d is divided by r? 16 Let t = 514 + -412. Calculate the remainder when t is divided by 26. 24 Let m = -573 + 948. Suppose -2*i - 1 = y + i, -3*i = 3*y - 9. Suppose -4*b + 8*a - 5*a = -231, -b + y*a = -79. What is the remainder when m is divided by b? 51 Suppose 115650 = -61*h + 151*h. What is the remainder when h is divided by 319? 9 Let v = -22 + 1. Let r = 108 - 93. What is the remainder when (-1)/(1/(2*v)) is divided by r? 12 Let l(w) = w**2 + 10*w - 21. Suppose 33 = -2*p + 5*r, -4*p + 1 - 31 = 2*r. Let k be l(p). Let d = k - -34. What is the remainder when 19 is divided by d? 3 Let o(k) = 383*k**2 + 12*k - 10. Calculate the remainder when o(1) is divided by 93. 13 Suppose 185*k - 164*k = 2814. Calculate the remainder when 1062 is divided by k. 124 Suppose -5*t + 5*g + 927 = 4*g, 0 = 2*t - 6*g - 354. Calculate the remainder when 18598 is divided by t. 184 Suppose 53 = -34*w + 203 + 530. What is the remainder when w is divided by 11? 9 Let n be ((-3065)/(-10))/((-3)/(-6)). Let b = n + -492. What is the remainder when 603 is divided by b? 119 Suppose 0 = b - v - 43, 0 = -b + 2*b - 5*v - 55. Suppose -8*a - b = -10*a. What is the remainder when 238 is divided by a? 18 Let z(v) = v**3 + 4*v**2 - 5*v + 3. Let n be z(-5). Suppose -w + 16 = 7*x - 2*x, w - 37 = 2*x. What is the remainder when w is divided by (16 + -13)/(n/8)? 7 Suppose 4*t + 5*w = 26, 5*w + 77 = 67. Calculate the remainder when 592 is divided by t. 7 Suppose -25*b - 5357 = -76*b + 1069. Calculate the remainder when 317 is divided by b. 65 Let x(w) = -w**3 - 8*w**2 - 7*w - 5. Let y be x(-7). What is the remainder when 128 is divided by -3 + 9 + 5 + y? 2 Let l(x) = 13*x - 34. Let w(a) = -5*a. Let v = 60 - 61. Let q be w(v). What is the remainder when 59 is divided by l(q)? 28 Suppose 749 = -20*n + 1749. Calculate the remainder when 3648 is divided by n. 48 Let i(j) = -63*j + 36. Calculate the remainder when 404 is divided by i(-1). 8 Suppose 0 = -0*t + t + 4*i - 16, t + 3*i - 12 = 0. Suppose t = 7*q - 2*q - 125. What is the remainder when 48 is divided by q? 23 Let u be (-4)/(-5)*(-10)/(-4). Let w = 2939 - 2916. Suppose 0 = f - u*m + 6*m - w, 5*m + 46 = 2*f. What is the remainder when f is divided by 6? 5 Suppose -3*s + 76 + 20 = 0. Suppose 29 = 37*r - 8. Calculate the remainder when ((-693)/22)/(r/(-2)) is divided by s. 31 Calculate the remainder when 783 is divided by 27/36*-2*-8 - -5. 1 Suppose -94 = -2*w - 4*m, -4*w + 8*w + 3*m = 198. What is the remainder when 90 is divided by w? 39 Suppose 14*z - 3450 = -1098. Calculate the remainder when 47 is div
{ "pile_set_name": "DM Mathematics" }
rom xbqnr. Give prob of picking 1 b, 2 r, and 1 x. 0 What is prob of picking 2 q and 1 w when three letters picked without replacement from qwgggqwq? 3/28 Three letters picked without replacement from oopllpyppllooyollpyy. Give prob of picking 2 y and 1 p. 1/38 Three letters picked without replacement from {n: 2, w: 3}. What is prob of picking 3 w? 1/10 Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, t: 2, q: 2}. 1/15 What is prob of picking 2 q when two letters picked without replacement from {j: 1, k: 1, q: 2}? 1/6 Four letters picked without replacement from ddlldldhdfbf. What is prob of picking 1 d, 2 l, and 1 h? 1/33 Four letters picked without replacement from {o: 4, d: 1, w: 5, t: 6}. What is prob of picking 2 o, 1 t, and 1 d? 9/455 Four letters picked without replacement from ffyyyy. Give prob of picking 4 y. 1/15 Two letters picked without replacement from {m: 2, y: 1, u: 8, j: 2, o: 2, i: 2}. What is prob of picking 1 o and 1 i? 1/34 Two letters picked without replacement from eoouchehohb. Give prob of picking 1 e and 1 h. 6/55 Three letters picked without replacement from {y: 2, p: 4, o: 2, j: 2}. Give prob of picking 1 y and 2 p. 1/10 Calculate prob of picking 3 q when three letters picked without replacement from qllllllllllqllllll. 0 Four letters picked without replacement from iiccici. Give prob of picking 3 i and 1 c. 12/35 What is prob of picking 2 m and 1 a when three letters picked without replacement from {d: 5, a: 2, c: 2, m: 2, o: 2, x: 1}? 1/182 Calculate prob of picking 3 u when three letters picked without replacement from {g: 1, u: 4, r: 5}. 1/30 Three letters picked without replacement from {x: 4, m: 1, u: 8, s: 6, d: 1}. Give prob of picking 2 x and 1 s. 3/95 Three letters picked without replacement from {j: 8, o: 2}. What is prob of picking 1 j and 2 o? 1/15 What is prob of picking 1 l and 1 d when two letters picked without replacement from {d: 4, l: 3, o: 1, v: 2}? 4/15 What is prob of picking 1 q, 1 n, and 2 r when four letters picked without replacement from rrrrrrrrrrrqrrrrrnr? 2/57 Three letters picked without replacement from rrbbbbd. What is prob of picking 3 b? 4/35 Four letters picked without replacement from {z: 1, r: 11}. Give prob of picking 3 r and 1 z. 1/3 What is prob of picking 2 c when two letters picked without replacement from oococ? 1/10 Calculate prob of picking 2 i when two letters picked without replacement from biiibbb. 1/7 What is prob of picking 1 n, 1 r, and 1 q when three letters picked without replacement from qqnqqnraqqaqqqql? 1/28 Calculate prob of picking 2 j and 1 s when three letters picked without replacement from {s: 2, p: 1, o: 7, z: 1, w: 4, j: 3}. 1/136 Three letters picked without replacement from jjjjnnnnnjnj. Give prob of picking 2 n and 1 j. 9/22 Two letters picked without replacement from {n: 1, y: 1, g: 1, h: 1, x: 1}. What is prob of picking 1 y and 1 g? 1/10 Calculate prob of picking 2 m and 2 i when four letters picked without replacement from miiiim. 2/5 Three letters picked without replacement from ntccncn. What is prob of picking 1 n and 2 c? 9/35 What is prob of picking 3 z when three letters picked without replacement from uzczxzccudkzuzdcxddu? 1/114 Three letters picked without replacement from ggohbzbgbggggbb. Give prob of picking 1 h, 1 b, and 1 o. 1/91 Four letters picked without replacement from vvvvavvvavvvavvv. What is prob of picking 1 a and 3 v? 33/70 Calculate prob of picking 2 l, 1 q, and 1 z when four letters picked without replacement from {p: 2, b: 1, l: 2, e: 1, q: 1, z: 1}. 1/70 Four letters picked without replacement from {z: 10, l: 1, q: 7, k: 2}. Give prob of picking 2 q and 2 z. 63/323 Two letters picked without replacement from {h: 6, v: 2, b: 4, u: 1}. Give prob of picking 2 v. 1/78 Two letters picked without replacement from vvvnvvvvnnvvnvvvvn. Give prob of picking 2 v. 26/51 Calculate prob of picking 1 u and 1 a when two letters picked without replacement from uiiiiiiiiiaiiiillui. 2/171 What is prob of picking 1 t, 1 p, and 2 s when four letters picked without replacement from ppsffptsstfstfpptss? 25/323 What is prob of picking 1 c and 1 e when two letters picked without replacement from mwwmevevmwmvwcwww? 1/68 Two letters picked without replacement from ekklkekeoleekyellje. Give prob of picking 1 o and 1 y. 1/171 Calculate prob of picking 1 c and 1 m when two letters picked without replacement from {c: 1, m: 1, x: 1, p: 1, r: 2, t: 1}. 1/21 Calculate prob of picking 2 y and 2 m when four letters picked without replacement from miiiyimimmwmimi. 0 Calculate prob of picking 1 d and 2 a when three letters picked without replacement from dmdadaa. 9/35 What is prob of picking 1 w, 1 x, and 1 d when three letters picked without replacement from {w: 1, q: 4, x: 3, d: 3}? 3/55 Three letters picked without replacement from mcfffmmfffccmcmff. What is prob of picking 2 c and 1 m? 3/68 Calculate prob of picking 2 g when two letters picked without replacement from {l: 10, g: 2, m: 1, h: 1, p: 2, d: 2}. 1/153 Two letters picked without replacement from {f: 5, r: 1, p: 1, w: 1, d: 1, q: 3}. What is prob of picking 1 w and 1 d? 1/66 Two letters picked without replacement from dzwddddzz. Give prob of picking 1 z and 1 d. 5/12 What is prob of picking 1 q, 2 u, and 1 e when four letters picked without replacement from qqqeeqqueuquuqqqqq? 11/170 Two letters picked without replacement from eedeeevveeeeeed. What is prob of picking 2 e? 11/21 Two letters picked without replacement from {t: 7, a: 6}. Give prob of picking 1 a and 1 t. 7/13 What is prob of picking 1 z and 2 p when three letters picked without replacement from pzzppqppzzzzz? 35/143 Two letters picked without replacement from {o: 3, q: 4}. What is prob of picking 1 q and 1 o? 4/7 What is prob of picking 2 n when two letters picked without replacement from knnknnknnn? 7/15 Three letters picked without replacement from iiiiziiiizizzzizisz. Give prob of picking 3 i. 55/323 What is prob of picking 2 o when two letters picked without replacement from czomo? 1/10 Four letters picked without replacement from {n: 6}. What is prob of picking 4 n? 1 Calculate prob of picking 2 x and 1 h when three letters picked without replacement from {v: 6, x: 9, i: 2, h: 1}. 3/68 Four letters picked without replacement from {r: 5, c: 8}. Give prob of picking 1 c and 3 r. 16/143 Calculate prob of picking 3 t and 1 u when four letters picked without replacement from tttuttttuttttttttttt. 32/95 Calculate prob of picking 2 n and 1 j when three letters picked without replacement from {n: 8, j: 5}. 70/143 Calculate prob of picking 1 p and 1 n when two letters picked without replacement from phnbb. 1/10 Four letters picked without replacement from ouuuuruuouuuuu. Give prob of picking 3 u and 1 r. 15/91 Two letters picked without replacement from {r: 2, x: 1, w: 1, t: 8, u: 2, a: 3}. Give prob of picking 1 w and 1 u. 1/68 Calculate prob of picking 4 c when four letters picked without replacement from {n: 4, c: 10}. 30/143 Calculate prob of picking 1 s and 1 h when two letters picked without replacement from {h: 2, u: 1, m: 1, s: 1}. 1/5 What is prob of picking 1 n and 2 d when three letters picked without replacement from {n: 6, d: 6}? 9/22 Calculate prob of picking 1 e and 2 a when three letters picked without replacement from abebebebeaabe. 15/286 What is prob of picking 1 r and 1 a when two letters picked without replacement from xlalllrrrxalx? 1/13 Calculate prob of picking 2 e when two letters picked without replacement from clccqqtclceek. 1/78 Four letters picked without replacement from {q: 8, l: 3, u: 5, e: 1, s: 3}. What is prob of picking 2 u, 1 s, and 1 l? 6/323 Two letters picked without replacement from {t: 2, j: 1, o: 1}. What is prob of picking 1 o and 1 j? 1/6 What is prob of picking 1 r and 1 n when two letters picked without replacement from {c: 1, n: 1, r: 1, h: 2}? 1/10 What is prob of picking 1 w and 1 e when two letters picked without replacement from suuovseoesewuo? 3/91 Three letters picked without replacement from llaaglgglfxldgffga. What is prob of picking 1 d, 1 x, and 1 l? 5/816 Two letters picked without replacement from {k: 5, w: 1, t: 12}. Give prob of pick
{ "pile_set_name": "DM Mathematics" }
/3 Evaluate 864/72 - (-6 - 0 - -40). -22 What is 2 + -1 - (561/85 + 6/(-10))? -5 What is (-5)/(-1) - (-1692)/(-329)? -1/7 What is the value of (5 - 20) + -12 + 11 + 17? 1 What is the value of 162/(-10) - 1116/(-930)? -15 Calculate 1 + 1407/(-147) + 6. -18/7 Calculate -24 + (2 - -30) - 4/1. 4 What is 4/14*(595/(-14) + -24)? -19 Evaluate (-9 - -8 - 0)*(-2)/6. 1/3 What is (-1 - 7) + -26 + (3 - -16)? -15 What is the value of -9 + -978*8/(-864)? 1/18 What is the value of (-75)/((-48)/16) - 27? -2 Evaluate 30/(-4)*4*(7 - 242/33). 10 What is the value of -1 + (-225)/(-325) - (-147)/13? 11 Evaluate -11 + 2 - (-66)/121*-11. -15 Evaluate (6/(-75) + -9 + 477/25)/(-1). -10 What is -25 - (-25 + (-11 - -34))? -23 1895*26/(-3510) + 2*7 -1/27 Evaluate (-72)/21 + 57/133. -3 Evaluate (-1022)/292 - 7/2. -7 Calculate ((-9)/30 + (0 - 0))/((-15)/25). 1/2 What is 15/(-255)*6/(-3)? 2/17 What is the value of (-13888)/1008*12/(-16) + (-4)/(-6)? 11 Evaluate (6/153)/(1135/681 + -1*2). -2/17 What is 205/20 - (49 + -41)? 9/4 What is the value of 6/9*-9*1*(-39 + 38)? 6 Calculate (-246 + 243)/(9/(-30)*1). 10 What is (1 + (-32)/96)*(-1 + 23/2)? 7 Evaluate ((-4)/12 + 0)/(((-42)/6)/252). 12 Evaluate (-5)/(-5) - 5/(210/54). -2/7 What is the value of (-20 + -3)*(-440)/1012*8/10? 8 (-2)/(-33) - (-3144)/396 8 Evaluate -12*(-11)/1595*-29. -12/5 Evaluate (1/(-5))/(1767/(-310)). 2/57 What is the value of -2 + 76/10 - 253/(8349/198)? -2/5 Evaluate (-16)/24*(-39)/(-221). -2/17 What is (-20)/(-11) + 1 + 42/231? 3 Evaluate (8/68 - (-222)/714)/(9/105). 5 Calculate (-2)/(2 + (256/(-24) - -8)). 3 Evaluate ((-3)/4)/(-3) + (-445)/1780. 0 Calculate 8/(1/(-12) + 415/(-996)). -16 Calculate (-266)/(-24) + 391/(-4692). 11 Evaluate (-27120)/1520 - (-9)/(-57) - 0/(-3). -18 Calculate (-10)/(-12) + (-60249)/(-2394). 26 What is ((-15)/(-243))/(50/(-60))? -2/27 12/22 + -48 + 53376/1122 2/17 What is the value of 418/(-748) + (-3)/(-51) - 175/(-182)? 6/13 Calculate 1/20*((-246)/18 + (-4 - -17)). -1/30 (-23)/23 - -37 - 25 11 What is 109 + -99 + 704/(-54) + 3? -1/27 (6 + (-65)/(-25))*25/30 + -6 7/6 (((-3)/609)/(32/(-336)))/(27/(-18)) -1/29 Evaluate (-1 - 0)/(16/32 - 3/9). -6 What is the value of 5/(201/28 + -12*(-238)/(-408))? 28 Calculate 39/(-2) - (-38 + 20). -3/2 Calculate -3 + 1656/52 - -4*7/182. 29 What is the value of -9 + 41 + -15 + -11? 6 (0 + 1)/(36/144) 4 Calculate ((-1524)/(-8128))/((-33)/(-32)). 2/11 What is (-78)/1980 + (-9)/(-90)? 2/33 (-118)/(-59)*((-6)/(-8) - (-803)/44) 38 What is the value of 542636/16994 - (-3 + 35)? -2/29 Evaluate (10 - (-66)/(-24))/(13/52). 29 What is the value of ((-3)/(-5) - 585/1350)/(1/9)? 3/2 What is 972/3726*(-3)/(-9)? 2/23 What is (-328)/18 - (-992 + 974)? -2/9 What is (-18)/42 - 995/(-1393)? 2/7 Calculate (-19)/(-133) - 5/(140/32). -1 Evaluate (-4)/(-1 - -25)*(-48)/(-32). -1/4 What is the value of (-40)/180 - (-3 - (-440)/288)? 5/4 What is the value of 2*5*(-72)/3120? -3/13 2/(7/35*30/(-27)) -9 What is 686/(-2401) + (-262)/14? -19 Calculate (-3 - (-404)/136)/(9/18). -1/17 Evaluate ((-520)/(-455))/(-1 - (-32)/28). 8 What is 774/(-903)*(-6 - 465/(-81))? 2/9 What is the value of 20 - 6/756*2532? -2/21 (-381)/18 + 12/(-9) + (-3)/(-6) -22 Calculate (2 + -3)/((20910/1377)/(-82)). 27/5 Evaluate 12042/34788 - (0 + 1/2). -2/13 What is the value of 8 - 11 - (-14 + 8)? 3 Evaluate (7 - 14)/(-28)*6. 3/2 What is (21/9)/(20/(-6))*(-100)/(-175)? -2/5 Calculate (-24)/((-12)/(-90) + (-12)/15). 36 Calculate (-3)/(-6) - (-1 - 25/(-2)). -11 Evaluate ((-16)/(-5))/(242/3509 + 96/290). 8 What is the value of 354/1180 + 366/(-20)? -18 Calculate -10 + 68/36*9. 7 30 + -39 + 325/35 2/7 Calculate ((-1)/(-2))/(474/252 - (-528)/(-308)). 3 What is (-158050)/(-5655) + (-2 - 26)? -2/39 Evaluate (85/5 + (-1411)/85)*10/(-152). -1/38 (-6)/10 - 522/(-435) 3/5 Evaluate -6 - (-3648)/288*1/2. 1/3 14*-7*(-9 - 310/(-35)) 14 Calculate (-10)/11*-21*15/(-525). -6/11 Calculate (-4)/((13/(520/(-16)))/1). 10 Calculate (-648)/660 + (2 - 88/40)*-4. -2/11 ((-18)/(-52)*(-3)/(-18))/((-542)/2168) -3/13 17*(1020/(-1224) - (-19)/30) -17/5 (-281 + 230)*5/75*5 -17 What is the value of (816/64)/(63/(-84))? -17 Evaluate (-12)/460*(-255)/(-153). -1/23 What is the value of ((-20)/(-143))/((-96)/528)? -10/13 Calculate ((-828)/690)/(507/325). -10/13 Evaluate (-6)/18 - 152/(-240) - 0. 3/10 (4/(-18) - (-1545)/2781)/((-40)/(-6)) 1/20 What is the value of 8/(-3)*(20 + -17 + 0)? -8 What is the value of 6 + (13 - (-13 + 5769/180))? -1/20 What is (-155)/10 + (-5 - (-45)/6) - 2? -15 1/(18/(-35 + 215)) 10 Evaluate 5/(-3)*(439 - 430). -15 What is the value of (-444)/(-189) + 3 + (-28)/(-126) + -3? 18/7 Evaluate (0*23/(-736))/2. 0 What is 0 - 99/44 - -3? 3/4 What is the value of ((-19)/(-741))/(128/416)? 1/12 Evaluate (-4284)/244800 - (-2 + -8*(-12)/50). 1/16 What is ((-111)/60 - -2)*2440/(-305)? -6/5 (-6)/(-4) + 114/252*-3 1/7 Evaluate ((-870)/(-1044))/(2/12). 5 Evaluate 6/24*-3 + 2/56. -5/7 Evaluate (3784/(-29799))/((-4)/14). 4/9 Calculate (-6)/(-13 + 22 + -123). 1/19 What is ((-100)/1800)/((-4)/(-16))? -2/9 What is (-1)/(-1)*1 - (-370 - -375)? -4 Evaluate 2/(-3)*(-393)/524*-2. -1 Evaluate (-10 - 12/(-3)) + (-200)/(-50). -2 Evaluate -2 - ((-3)/6 - 0) - 804/(-536). 0 Evaluate (-140)/(-24) - -1*(-13)/(-78). 6 Evaluate (-39)/6*(11 + 1)/3 - -8. -18 What is the value of (-6 + 1 - (-51 + 51))*10/(-5)? 10 Calculate (-805)/336 - (-203)/87. -1/16 Evaluate ((-11)/(-66))/(414/(-108)). -1/23 What is 124/93 + (-35)/42? 1/2 What is (58/22 - 688/(-1892)) + 334/(-110)? -2/55 Evaluate ((-1376)/(-1204))/(36/(-14) - 0). -4/9 What is ((-60)/(-300))/((-1)/75) - -24? 9 What is the value of ((-4)/5 + (-33)/(-60))*-16? 4 What is the value of (-2)/1209*3*(-243 + 230)? 2/31 (-4 + (-144)/(-33))/((-22)/33) -6/11 Evaluate 4/(-2) - 3*1/((-9)/15). 3 (13 + 530/(-40))/(3/4)*30 -10 What is the value of -4*(6 + 594/(-176))? -21/2 2/(-3)*(-7 - -8)*-1 2/3 What is (130*(-10)/(-350))/((-14)/(-98))? 26 What is (117/36)/((-20)/32)*(-270)/(-36)? -39 What is the value of (0 + 6/(-27))/(184/(-2070))? 5/2 What is the value of 8/(-16)*(-6 - (-160)/25)? -1/5 ((-5)/8)/((-1779)/2372) 5/6 What is ((-13)/(5070/90))/(1/((-2)/3))? 2/13 Evaluate (-39)/(-26)*48/(-9). -8 Evaluate (600/420)/(35/(-294)). -12 Calculate -2 - 13/(-6) - ((-760)/48 + 1). 15 What is 8 + 19 + 10 + -38? -1 What is (130/91)/(10/35 - (-6)/(-14))? -10 8/10 + 46 + -46 4/5 What is the value of (-1088)/78 + (-582)/11349? -14 What is the value of 0 - 81/5 - (-713)/3565? -16 What is 1/(((-1)/(-6)*2)/((-2560)/384))? -20 What is the value of (1628/40)/(-11) + (-172)/(-860)? -7/2 Calculate (-7712)/(-704) + (-66)/6. -1/22 Calculate (-24 - -1) + 33 - 17. -7 What is (356/(-90) + 4)/((27/(-45))/(-3))? 2/9 What is the value of 14 - ((-1053)/(-405) - 74/(-10))? 4 (1815/(-22506))/(10/4) -1/31 What is the value of 48 + 15939/(-330) + 348/(-80)*2? -9 Calculate (33/33*0/2)/(-2). 0 (-95)/(-38) - ((-130)/(-4) - 15) -15 -130 - -140 - (4 - 0) 6 (0 - (-4)/((-48)/12))/((-14)/(-8)) -4/7 11 + (-24)/2 - (-24)/21 1/7 476/11781*11/6 2/27 (296/(-370))/(2/5) -2 What is 5/((-65)/(-39)) + 216/(-18)? -9 Evaluate 91/5 + (14356/370 - 39). 18 What is (9/(-27))/((-4)/182*203/87)? 13/2 What is the value of ((-40)/(-800)*16/(-46))/((-2)/(-10))? -2/23 Evaluate 4 + 9 + 1246/(-105) + -1. 2/15 What is the value of (-1)/(13/(-78)) - (-175)/(-60)*2? 1/6 (15/40)/((-63)/28) -1/6 What is the value of 30/285*323/187? 2/11 Calculate (-15)/(-1) + 4081/(-265). -2/5 Calculate (-158)/(-26) - ((-2279)/(-559) - 4). 6 Evaluate (-20)/6*(2 + 8 - 1600/250). -12 Evaluate ((-7)/1)/((-17875)/4550 + (-6)/(-14)). 2 13/(-2)*((-62510)/5681 + 11) 1/46 What is the value of 6 - (-2)/(-8)*23/(230/144)? 12/5 (-3)/((-46593)/4008 + 2/(2/9)) 8/7 Calculate 8 - (-6 + -9 + 0)/(-1). -7 What is (-22)/10 + 2 - (7692/540 + -14)? -4/9 What is the value of (-1)/(-7) + (-17)/((-952)/384)? 7 What is -4 + 7 + 48/(-20) - (-820)/300? 10/3 360/(-420)*(22/3 - 5) -2 (((-1)/5)/(98/(-245)))/(-5) -1/10 What is (-10 + -1)*7/(-15) - 20/150? 5 Evaluate (-14*(-7)/84)/(-7*4/(-42)). 7/4 Calculate (1 - (-31)/(-9))*(-1161)/258. 11 Calculate (-600)/(-35) + (-88)/77. 16 Calculate (1*(5 + -9))/74. -2/37 Calculate (-9)/12*(16 + -12). -3 Calculate (-168 - -167)/(100/64 - 2). 16/7 What is the value of -26 + (-1 - 147/(-7) -
{ "pile_set_name": "DM Mathematics" }
rest integer? 148 What is the sixth root of 72400 to the nearest integer? 6 What is 5724 to the power of 1/2, to the nearest integer? 76 What is the ninth root of 65791 to the nearest integer? 3 What is the third root of 105276 to the nearest integer? 47 What is the tenth root of 93340 to the nearest integer? 3 What is 2817 to the power of 1/8, to the nearest integer? 3 What is the cube root of 39306 to the nearest integer? 34 What is the square root of 709 to the nearest integer? 27 What is 2482 to the power of 1/8, to the nearest integer? 3 What is the cube root of 5803 to the nearest integer? 18 What is 29324 to the power of 1/6, to the nearest integer? 6 What is the third root of 4112 to the nearest integer? 16 What is the square root of 2399 to the nearest integer? 49 What is 2015 to the power of 1/6, to the nearest integer? 4 What is 1617 to the power of 1/3, to the nearest integer? 12 What is 1781 to the power of 1/2, to the nearest integer? 42 What is 6074 to the power of 1/2, to the nearest integer? 78 What is 66155 to the power of 1/3, to the nearest integer? 40 What is 45435 to the power of 1/2, to the nearest integer? 213 What is 28077 to the power of 1/5, to the nearest integer? 8 What is the square root of 117186 to the nearest integer? 342 What is 11820 to the power of 1/4, to the nearest integer? 10 What is the third root of 90176 to the nearest integer? 45 What is the sixth root of 1332 to the nearest integer? 3 What is the cube root of 10663 to the nearest integer? 22 What is 27538 to the power of 1/3, to the nearest integer? 30 What is 47525 to the power of 1/8, to the nearest integer? 4 What is 159683 to the power of 1/6, to the nearest integer? 7 What is the sixth root of 129 to the nearest integer? 2 What is the seventh root of 747 to the nearest integer? 3 What is the square root of 1670 to the nearest integer? 41 What is the third root of 5868 to the nearest integer? 18 What is the fourth root of 48954 to the nearest integer? 15 What is 1929 to the power of 1/2, to the nearest integer? 44 What is the ninth root of 221 to the nearest integer? 2 What is the fifth root of 7596 to the nearest integer? 6 What is the fifth root of 12030 to the nearest integer? 7 What is the square root of 3448 to the nearest integer? 59 What is 2392 to the power of 1/2, to the nearest integer? 49 What is the square root of 879 to the nearest integer? 30 What is the seventh root of 6778 to the nearest integer? 4 What is the square root of 5774 to the nearest integer? 76 What is 584 to the power of 1/3, to the nearest integer? 8 What is 12328 to the power of 1/4, to the nearest integer? 11 What is 27388 to the power of 1/3, to the nearest integer? 30 What is the fifth root of 1601 to the nearest integer? 4 What is 3973 to the power of 1/9, to the nearest integer? 3 What is the fourth root of 107964 to the nearest integer? 18 What is the third root of 8842 to the nearest integer? 21 What is the cube root of 3806 to the nearest integer? 16 What is 53578 to the power of 1/3, to the nearest integer? 38 What is the cube root of 22869 to the nearest integer? 28 What is the tenth root of 48416 to the nearest integer? 3 What is 1077 to the power of 1/2, to the nearest integer? 33 What is the square root of 15740 to the nearest integer? 125 What is 14294 to the power of 1/2, to the nearest integer? 120 What is the sixth root of 18921 to the nearest integer? 5 What is the third root of 642 to the nearest integer? 9 What is 2721 to the power of 1/3, to the nearest integer? 14 What is the square root of 152608 to the nearest integer? 391 What is 15173 to the power of 1/6, to the nearest integer? 5 What is 2056 to the power of 1/3, to the nearest integer? 13 What is the square root of 1023 to the nearest integer? 32 What is the third root of 46839 to the nearest integer? 36 What is the square root of 5427 to the nearest integer? 74 What is 13858 to the power of 1/2, to the nearest integer? 118 What is 4591 to the power of 1/2, to the nearest integer? 68 What is the ninth root of 401 to the nearest integer? 2 What is the third root of 1691 to the nearest integer? 12 What is 1469 to the power of 1/3, to the nearest integer? 11 What is the fifth root of 8153 to the nearest integer? 6 What is 25645 to the power of 1/2, to the nearest integer? 160 What is the third root of 587 to the nearest integer? 8 What is the tenth root of 7784 to the nearest integer? 2 What is 27959 to the power of 1/3, to the nearest integer? 30 What is the square root of 738 to the nearest integer? 27 What is the tenth root of 53759 to the nearest integer? 3 What is 6128 to the power of 1/10, to the nearest integer? 2 What is the square root of 6636 to the nearest integer? 81 What is the cube root of 9632 to the nearest integer? 21 What is the cube root of 2565 to the nearest integer? 14 What is 868 to the power of 1/10, to the nearest integer? 2 What is the third root of 544 to the nearest integer? 8 What is 384 to the power of 1/8, to the nearest integer? 2 What is 1711 to the power of 1/2, to the nearest integer? 41 What is the fourth root of 3951 to the nearest integer? 8 What is the sixth root of 91963 to the nearest integer? 7 What is 1951 to the power of 1/3, to the nearest integer? 12 What is the fifth root of 54 to the nearest integer? 2 What is the sixth root of 805 to the nearest integer? 3 What is the ninth root of 9696 to the nearest integer? 3 What is the third root of 1140 to the nearest integer? 10 What is 48977 to the power of 1/5, to the nearest integer? 9 What is the ninth root of 3859 to the nearest integer? 3 What is the cube root of 111 to the nearest integer? 5 What is 24915 to the power of 1/2, to the nearest integer? 158 What is 6444 to the power of 1/2, to the nearest integer? 80 What is the square root of 250 to the nearest integer? 16 What is 113215 to the power of 1/3, to the nearest integer? 48 What is the third root of 1339 to the nearest integer? 11 What is the cube root of 54316 to the nearest integer? 38 What is the eighth root of 174474 to the nearest integer? 5 What is the sixth root of 131 to the nearest integer? 2 What is the square root of 1362 to the nearest integer? 37 What is the square root of 2687 to the nearest integer? 52 What is 4621 to the power of 1/3, to the nearest integer? 17 What is 3079 to the power of 1/6, to the nearest integer? 4 What is the third root of 960 to the nearest integer? 10 What is the square root of 8759 to the nearest integer? 94 What is 8128 to the power of 1/4, to the nearest integer? 9 What is 1862 to the power of 1/2, to the nearest integer? 43 What is the ninth root of 53717 to the nearest integer? 3 What is the fifth root of 5510 to the nearest integer? 6 What is the fourth root of 6980 to the nearest integer? 9 What is the third root of 6548 to the nearest integer? 19 What is 24320 to the power of 1/2, to the nearest integer? 156 What is the seventh root of 13838 to the nearest integer? 4 What is the square root of 15525 to the nearest integer? 125 What is the square root of 197 to the nearest integer? 14 What is 1472 to the power of 1/3, to the nearest integer? 11 What is the third root of 10151 to the nearest integer? 22 What is 1375 to the power of 1/9, to the nearest integer? 2 What is 662 to the power of 1/2, to the nearest integer? 26 What is the cube root of 1785 to the nearest integer? 12 What is the third root of 952 to the nearest integer? 10 What is 363 to the power of 1/2, to the nearest integer? 19 What is the square root of 110566 to the nearest integer? 333 What is 6616 to the power of 1/2, to the nearest integer? 81 What is the cube root of 2913 to the nearest integer? 14 What is the square root of 639 to the nearest integer? 25 What is 18821 to the power of 1/3, to the nearest integer? 27 What is 4718 to the power of 1/2, to the nearest integer? 69 What is the square root of 12024 to the nearest integer? 110 What is 785 to the power of 1/5, to the nearest integer? 4 What is the fourth root of 58368 to the nearest integer? 16 What is 20353 to the power of 1/9, to the nearest integer? 3 What is the square root of 2284 to the nearest integer? 48 What is the square root of 232 to the nearest i
{ "pile_set_name": "DM Mathematics" }
= -3148*b - 5. Let u(j) = 1889*j + 3. Let z(s) = 3*o(s) + 5*u(s). Determine f*k(y) + 7*z(y). y - 2 Let k be (1 + 3 - -3) + -3. Let s(a) = -6*a - 3. Let r = 8 + -5. Let b(i) = -r - 31*i - 25*i + 49*i. Give k*b(w) - 5*s(w). 2*w + 3 Let z(u) = -117. Let k(g) = 310*g + 3596. Give k(b) + 31*z(b). 310*b - 31 Let w(n) = 1 - 2 - 1. Let t = 257732 + -257730. Let g(m) = 5*m**2 + 22. Determine t*g(i) + 22*w(i). 10*i**2 Let a(c) = c**2 - 4*c - 26. Let h(l) = -2*l**2 - 8. Determine -a(v) + h(v). -3*v**2 + 4*v + 18 Let a(n) = -n + 1. Let w(t) = -t + 4 + 7 - 9. Suppose 2*x + 36 = 6*x. Suppose -14*h = -11*h - x. What is h*a(y) - w(y)? -2*y + 1 Let d(c) = -921*c**3 + 4*c**2 - 2*c + 2. Let i(u) = 2*u**2 - u + 1. Give d(z) - 2*i(z). -921*z**3 Let s(t) = -22. Let v(w) = 54*w + 260. Calculate 12*s(p) + v(p). 54*p - 4 Let r(d) = 23*d - 2. Let n(t) = -2*t**2 + 158*t + 493. Let o be n(-3). Let l(i) = i + 1. Determine o*r(g) + 3*l(g). 26*g + 1 Let s(l) = -142*l - 10. Let i(b) = 141*b + 7. Calculate 4*i(v) + 3*s(v). 138*v - 2 Let p(i) = -4*i + 1. Let r(t) = 18 + 287*t - 567*t - 17 + 279*t. Calculate -p(m) + r(m). 3*m Let o(v) = 27*v + 50. Let d(s) = 133*s + 231. What is 3*d(x) - 14*o(x)? 21*x - 7 Let z(l) = 5*l - 204. Let m(y) = -11*y + 614. Calculate 3*m(u) + 10*z(u). 17*u - 198 Let a(s) = 116*s + 12. Let h(v) = -43*v - 6. Give 4*a(b) + 9*h(b). 77*b - 6 Suppose -139*r - 267 - 11 = 0. Let w(v) = v**2 + 2*v + 3. Let l(g) = -145*g - 9 - 3*g**2 + 139*g - 1. What is r*l(o) - 7*w(o)? -o**2 - 2*o - 1 Let t(r) = -3*r + 3. Let c(v) = -501*v - 14. Determine c(u) + 5*t(u). -516*u + 1 Let x(n) = -114*n - 178. Let z(j) = 227*j + 372. Calculate -21*x(v) - 10*z(v). 124*v + 18 Let t(m) = 2204*m**3 - 12*m - 6. Let d(o) = 2205*o**3 - 14*o - 7. Give -6*d(w) + 7*t(w). 2198*w**3 Let h(w) = 383*w**2 - 8*w - 3. Let o(l) = -382*l**2 + 6*l + 2. Calculate -4*h(j) - 5*o(j). 378*j**2 + 2*j + 2 Let c(l) = -l**3 - 3*l**2 - l - 1. Let p(d) = -21*d**3 - 81*d**2 - 474*d - 27. Calculate 27*c(m) - p(m). -6*m**3 + 447*m Let a be (-2)/(-4)*(-2 + 2). Let m(f) = -1 - 31*f + 2 + 30*f + a. Let d(j) = -j**2 - 3*j + 7. Suppose 4*r + k = -k - 20, -r + 2*k = 5. Determine r*m(q) + d(q). -q**2 + 2*q + 2 Let n(l) = -11020*l - 2. Let a(y) = -77*y. Give 6*a(c) - n(c). 10558*c + 2 Let r(f) = -f + 5. Let m(d) = -2*d**2 + 9*d - 1. Let s be m(3). Let b(h) = s + 8 - 2 - 12. Give -6*b(t) + 2*r(t). -2*t - 2 Suppose 4*t = 2*f + 56 + 74, -37 = -t - f. Let i(r) = -49 - 5*r + 16 + r + t. Let h(l) = -9*l + 2. Let b = -22 + 8. Determine b*i(u) + 6*h(u). 2*u - 2 Let u(n) = 3*n**3 + 8*n**2 - 78*n + 9. Let x(i) = -2*i**2 + 19*i - 2. Let a(y) = 3*u(y) + 13*x(y). Let v(t) = -4*t**3 + t**2 - 6*t. Give -6*a(c) - 13*v(c). -2*c**3 - c**2 - 6 Let l(g) be the third derivative of -g**6/15 + g**4/12 + 34*g**2 - 6. Let y(r) = -57*r**3 + 15*r. Calculate 15*l(n) - 2*y(n). -6*n**3 Let o(w) = w**3 - w - 1. Let m(q) = -2921*q**3 - 2 + 4*q + 15 + 2916*q**3. Determine -m(s) - 6*o(s). -s**3 + 2*s - 7 Suppose 14*x = 17*x - 33. Let f be (-3 + 1)/(2/x). Let s(j) = 2*j**2 - 3*j - 3. Let g(b) = 10*b**2 - 16*b - 16. Calculate f*s(v) + 2*g(v). -2*v**2 + v + 1 Let u(s) = s - 1. Let n = -7355 + 7365. Let b(z) = -2*z + 3. What is n*u(r) + 6*b(r)? -2*r + 8 Let p(s) = 6*s**2 - 20*s + 4. Let t(w) = -5*w**2 + 20*w - 3. Suppose -3*f - 4 = 2*z, -5*f = 316*z - 321*z + 40. Give z*t(x) + 3*p(x). -2*x**2 + 20*x Let k(s) = -6*s**3 - 10*s**2 + 31*s. Let p be (11 + 896/(-70))/((-3)/5). Let c(t) = 6*t**2 - 157*t**3 - 6*t + 158*t**p - 4*t**2. What is -11*c(i) - 2*k(i)? i**3 - 2*i**2 + 4*i Let q(r) = -r - 3. Let h(v) = 3 - 303*v - 301*v - 308*v + 1221*v - 308*v. What is 4*h(i) + 3*q(i)? i + 3 Let d(c) = -2*c + 4. Let u(a) = 0*a + 449 - 447 - 2*a. Let x(i) = -1 + 2 + 6*i - 5*i. Let v(z) = -u(z) - x(z). What is -2*d(k) - 3*v(k)? k + 1 Let o(m) = -45*m**2 + 194*m + 5. Let z(c) = 8*c**2 + c - 1. Calculate o(u) + 5*z(u). -5*u**2 + 199*u Let h(u) be the second derivative of u**4/4 + u**3/3 - u**2/2 - 2*u + 832. Let f(i) = 3*i**2 + 2*i - 1. Suppose 6 + 12 = 3*m. Give m*h(t) - 7*f(t). -3*t**2 - 2*t + 1 Let m be -5 - 3/15*-5. Let t(b) = 6*b**3 - b**2 + 4*b + 4. Let v(j) be the first derivative of 2 + 0*j**3 + 1/4*j**4 + j + 1/2*j**2. What is m*v(c) + t(c)? 2*c**3 - c**2 Let c(o) be the second derivative of 5*o**3/6 - 5*o**2/2 + 16020*o - 4. Let a(s) be the first derivative of 11*s**2/2 - 11*s - 1. What is 3*a(v) - 7*c(v)? -2*v + 2 Let p(h) = 1423*h - 6. Let f(k) = 2683*k - 12. Calculate 6*f(d) - 11*p(d). 445*d - 6 Let k(f) = f. Let c(r) = -6. Let a(d) = c(d) - 4*k(d). Let w(h) = -2*h - 3. Suppose 69*i + 164 + 116 = -i. Calculate i*a(p) + 7*w(p). 2*p + 3 Let n be (-163 - -152)/(22/12). Let k(u) = 4*u**3 - 6*u**2 + 6*u + 5. Let v(c) = -5*c**3 + 2*c**3 - 4 + 5*c**2 + 0*c**2 - 5*c. Determine n*v(x) - 5*k(x). -2*x**3 - 1 Let q(d) = 109 - 6*d - 54 - 55. Let r(v) = 25*v. Let k be 1 - 6 - (-8 - -5)*1. Give k*r(i) - 9*q(i). 4*i Let b(g) be the second derivative of -g**4/6 + g**2 + 5709*g. Let v = 6 - 11. Let k(n) = 4*n**2 + n - 5. What is v*b(q) - 2*k(q)? 2*q**2 - 2*q Let j(b) = 0 - 2 + 3. Let r(l) be the second derivative of -l**4/6 - l**3/6 + l**2/2 - 21*l + 1622. Give 6*j(a) - r(a). 2*a**2 + a + 5 Let v(r) be the second derivative of r**4/12 - r**2/2 - 20578*r. Let m(c) be the first derivative of -c**4/4 + 8*c**3/3 + c**2 - 6*c - 1. What is m(d) - 6*v(d)? -d**3 + 2*d**2 + 2*d Let p(d) = 2*d**3 + 283*d**2 - 1. Let q(s) = -14*s**3 - 1982*s**2 + 9. Give 15*p(w) + 2*q(w). 2*w**3 + 281*w**2 + 3 Let z(y) = 5*y**2 - 8*y - 6. Let w(r) = 49*r**2 - 69*r + 26. Let a(q) = 16*q**2 - 23*q + 5. Let c(p) = 7*a(p) - 2*w(p). Determine 6*c(t) - 17*z(t). -t**2 - 2*t Let l(b) = 10*b + 574. Let y(m) = 29*m + 1696. Determine 8*l(o) - 3*y(o). -7*o - 496 Let a(p) = -2*p + 192 - 379 + 192 - 21*p**2. Let x(v) = -v**2 - 1. What is -a(y) - 5*x(y)? 26*y**2 + 2*y Let f(b) = -b**2 + 126*b + 384. Let g be f(-3). Let u(a) = a**3 + 3*a**2 + 6*a + 1. Let v(y) = 2*y**3 + 4*y**2 + 7*y + 2. Calculate g*v(c) + 4*u(c). -2*c**3 + 3*c - 2 Let c(a) = -83940*a + 26. Let k(r) = 33575*r - 10. Calculate 5*c(v) + 13*k(v). 16775*v Let a(l) = l**2. Let o = -1376 + 1394. Let q(i) = -14*i**2. Calculate o*a(g) + 2*q(g). -10*g**2 Let x(a) = -a**3 + a**2 - 1. Let c(w) = -5*w**3 + w**2 + w. Suppose -5*s = -2*p - 5 + 1, -2*s = 3*p + 6. Give p*x(m) + c(m). -3*m**3 - m**2 + m + 2 Let n(g) = -6*g**2 + 3*g. Suppose -1003 = 990*w + 2624 - 657. Let r(m) be the first derivative of 5*m**3/3 - m**2 + 1. Calculate w*r(d) - 2*n(d). -3*d**2 Let y(b) = -7*b**2 - 131*b - 40. Let r(s) = -6*s**2 - 124*s - 40. Determine -9*r(x) + 8*y(x). -2*x**2 + 68*x + 40 Let y(t) = -3*t + 8. Let s(r) = -13 - 5 + 13 + r + 0 + 2. Calculate -17*s(m) - 6*y(m). m + 3 Let k(r) = -r**2 + 3*r + 1. Let v(p) = -2*p**2 + 10*p + 2099. Give 4*k(h) - v(h). -2*h**2 + 2*h - 2095 Let o(t) = 2*t**2 + t + 2. Let w(j) = 5*j**3 + 22*j**2 + 10*j + 8. Calculate -4*o(l) + w(l). 5*l**3 + 14*l**2 + 6*l Let p(w) = -7*w**3 + 7*w + 7. Let m(u) = 6*u + 35. Let g be m(-6). Let t be 42/(-56)*(-3 + g). Let n(z) = 4*z**3 - 4*z - 4. Determine t*p(r) + 5*n(r). -r**3 + r + 1 Let k(i) = 11*i**3 - 10*i**2 + 2*i + 7. Let w(t) = -2*t**3 + 4*t**2 - 1. What is k(x) + 2*w(x)? 7*x**3 - 2*x**2 + 2*x + 5 Let l(s) = 1388*s - 23. Let k(z) = -2778*z + 40. Calculate -4*k(i) - 7*l(i). 1396*i + 1 Let z(b) = b**3 + 2*b**2 + b - 7 - 2 - b**2 + 10. Let a(k) = -5*k**3 + 5*k**2 + 6*k + 4. Calculate -a(j) + 4*z(j). 9*j**3 - j**2 - 2*j Let d(a) = -2*a**2 + 8*a - 347. Let x(o) = -6*o**2 + 28*o - 1043. What is -7*d(b) + 2*x(b)? 2*b**2 + 343 Let k(z) = -3*z + 6. Let l(o) = 49*o + 162. Let m(v) = -12*v - 34. Let b(a) = -2*l(a) - 9*m(a). What is -2*b(t) - 7*k(t)? t - 6 Let v(m) = 223*m + 225*m + 229*m + 233*m - 906*m + 13. Let h(f) be the third derivative of f**4/24 + f**3/2 + 4*f**2. Determine -26*h(i) + 6*v(i). -2*i Let q(i) = i + 2. Let b(s) = -s - 3. Let u be -1 + (4 + -12)/((-36)/27). Calculate u*q(h) + 3*b(h). 2*h + 1 Let k(l) = 2*l**2 - 3*l. Let t(v) = -v**2 - v. Suppose p + 10*p - 154 = 0. Suppose f = 4*m - p, 0*m + 4*m - 8 = -2*f. Calculate m*t(y) - k(y). -5*y**2 Let g(f) = f**2 + f - 1. Let y(z) = 3*z**3 + 9*z**2 + 7*z - 3. Let x(m) = -8*m**3 - 26*m**2 - 20*m + 9. Let h(q) = -6*x(q) - 17*y(q). What is -3*g(w) + h(w)? -3*w**3 -
{ "pile_set_name": "DM Mathematics" }
ppose -z + u + 5 = 0. Suppose -2 + 14 = 3*h, j - 22 = -z*h. What are the prime factors of j? 2 Let s be 4/(-6)*1*3. What are the prime factors of (-15)/(-2 - -1) + s? 13 Let t = -4 + -1. List the prime factors of -2 + -1 - 3*t. 2, 3 Let d(p) = -p**3 - 18*p**2 - 16*p + 38. List the prime factors of d(-17). 3, 7 Let u(v) = 17*v - 13. What are the prime factors of u(6)? 89 Let k be (-2 - 0)/(2/3). What are the prime factors of (-10)/(-4)*(-12)/k? 2, 5 Let n be (48/9)/((-1)/3). Let o = -14 - n. List the prime factors of o. 2 Let k = 188 + -113. What are the prime factors of k? 3, 5 Suppose 0 = -3*h + 7*h - 728. List the prime factors of h. 2, 7, 13 Suppose -h = 5*y + 2 - 58, 212 = 3*h + 4*y. What are the prime factors of h? 2, 19 Let u(w) = -w - 4. Let x be u(-7). Let d = x + 1. List the prime factors of (5/2)/(d/24). 3, 5 Let k(u) = u**3 - 10*u**2 + 6*u + 7. List the prime factors of k(10). 67 Let f be 13/1 - (-6 + 4). Suppose -3*y + 2*a + f = -a, -3*a = y - 5. List the prime factors of y. 5 Let t = 5 + -3. Let p be t/8 - (-590)/8. List the prime factors of (-2)/6 + p/6. 2, 3 Let u(i) = -i**3 + 6*i**2 - i + 3. Let j be u(6). Let x = j + 6. Suppose -4*r = -x*q + 23, 2*r - 31 = -5*q + 5*r. List the prime factors of q. 5 Suppose 0 = -8*z + 7*z + 11. List the prime factors of z. 11 Let a = -2 - -6. Suppose 4*y + 70 = -2*u, 0*u - 5*u + 49 = -a*y. What are the prime factors of y/(-10)*(-5)/(-2)? 2 Suppose -12 = -2*d + 6*d. Let t = 8 + d. List the prime factors of t. 5 Let c be 9/2*4/6. Suppose 6*i - c*i - 57 = 0. What are the prime factors of i? 19 Let a = 540 + -293. What are the prime factors of a? 13, 19 Suppose 5*q = -0*q. Suppose -5*k + q*k = -150. What are the prime factors of k? 2, 3, 5 Let m(a) = 5*a - 7*a - 7 + 1. What are the prime factors of m(-4)? 2 Let n = 11 + -22. Let a = -16 - n. What are the prime factors of (-18)/a + (-3)/5? 3 Suppose 0 = -3*h + 1 - 10. List the prime factors of (3/2)/(h/(-12)). 2, 3 Suppose 8 = 3*g - r - 6, 27 = 5*g + 2*r. Let o(i) = -5 + 2 - g + i. What are the prime factors of o(10)? 2 Let q be -3 + -1 + 2 - -7. Suppose -4*l + 4 = f, -4*l - 2*f + 2 = -2. Suppose -l - q = -s. What are the prime factors of s? 2, 3 Let j(y) = -y**2 + 4*y + 2. Let q be j(4). Suppose 0 = -q*f - f + 27. List the prime factors of f. 3 Let d(k) be the third derivative of k**5/30 + 3*k**4/8 - k**3 + k**2. What are the prime factors of d(-7)? 29 Let x(n) = 17*n + 5. What are the prime factors of x(3)? 2, 7 Suppose 0 = -4*f + 63 + 77. What are the prime factors of f? 5, 7 Let c(w) = 10*w**3 - w**2 - w + 1. Let v be c(1). What are the prime factors of (-3 + v)/2*9? 3 Suppose -4*d = 7 + 1. List the prime factors of d/5 - 182/(-5). 2, 3 Let y(t) = 2*t + 17. List the prime factors of y(20). 3, 19 Let y(j) = -55*j + 2. List the prime factors of y(-2). 2, 7 Let x be 12/(-9) + (-1)/(-3). Suppose 2*g - 4 = -5*h + 7, -4*g - 2*h = -14. List the prime factors of g + x/1 - -1. 3 Let h = -2 - 27. Let v = 50 + h. List the prime factors of v. 3, 7 Let w = 6 + -1. Suppose -27 - 48 = -w*f. What are the prime factors of f? 3, 5 Let i(k) = 2*k + 6. What are the prime factors of i(4)? 2, 7 Let w be (-6)/(-2) + (84 - -1). Let h = -62 + w. What are the prime factors of h? 2, 13 Suppose -3*q + 2 = -4*q. Let n be (q/(-4))/((-2)/(-52)). Suppose -2*f + n = y + 1, 5*y + 10 = 4*f. List the prime factors of f. 5 Suppose 5*h - 12 = h. Suppose -3*x + y + 8 = -7, 2*x = h*y + 17. Suppose 2*c + 1 = -5*s - x, -3*c = s - 12. List the prime factors of c. 5 Suppose -5*b + 35 = -30. What are the prime factors of b? 13 Let q = -153 - -287. Suppose -3*f = -5*f + 2*v + 68, -5*v - q = -4*f. List the prime factors of f. 2, 3 Let x(a) = -a**3 - 30*a**2 + 23*a + 28. List the prime factors of x(-31). 2, 3, 23 Let z(f) be the third derivative of f**5/20 - f**4/8 - f**3/3 + 6*f**2. What are the prime factors of z(4)? 2, 17 Let r(k) = k**3 - 2*k**2 + 8*k - 11. What are the prime factors of r(3)? 2, 11 Let w(u) = -1. Let f(l) = -l + 6. Let d(y) = f(y) + 6*w(y). Let j = -54 - -51. What are the prime factors of d(j)? 3 Suppose x + 3*x = 3*g - 53, -2*g + 36 = -2*x. What are the prime factors of g? 19 Suppose 4*m = 2*t - 54 + 22, 5*m = -2*t + 68. What are the prime factors of t? 2, 3 Let m = 17 - 8. Suppose r = -5*h + 3 + m, 2*h = 6. What are the prime factors of (-27)/r + (1 - 0)? 2, 5 Suppose 0 = -m + 3*l + 13, 3*m + 4*l = -m + 36. Let f be (12/10)/(3/m). Suppose -3*q + 3*r + r = -26, f*r + 24 = 2*q. List the prime factors of q. 2 Let z = 13 + -10. What are the prime factors of z? 3 Let f(s) = -s**2 - 14*s - 9. Let k be ((-45)/10)/((-6)/(-16)). What are the prime factors of f(k)? 3, 5 Let f = 215 - 101. List the prime factors of f. 2, 3, 19 Suppose 6*r = 252 + 708. What are the prime factors of r? 2, 5 Suppose 8*f - 4*f - 636 = 0. Suppose 0 = -t - t - 2*a + 70, -3*a = -5*t + f. What are the prime factors of t? 3, 11 Let h = 9 + -13. What are the prime factors of 2/(-4)*h - -3? 5 Let h(q) be the third derivative of q**5/60 - q**4/3 + 2*q**3 - 5*q**2. Let a(m) = m**3 - 4*m**2 - 4*m + 3. Let j be a(5). List the prime factors of h(j). 2, 3 Let g = -14 + 20. Suppose g*k + 4 = 2*k. Let s = k + 5. What are the prime factors of s? 2 Let m = -36 + 67. List the prime factors of m. 31 Let q(d) = -d + 11. List the prime factors of q(-8). 19 What are the prime factors of (-2)/(-9) - 9040/(-144)? 3, 7 Let u be (2 - 1 - 3)/2. Let m = -1 - u. Suppose m = 5*i + 17 - 42. List the prime factors of i. 5 Let o = -8 + 14. List the prime factors of (-8 + 5)*(-4)/o. 2 Let g = 18 + 13. List the prime factors of (-2 - -4)/2 + g. 2 Suppose 3*o = 3*n - 109 - 107, -76 = -n + 3*o. List the prime factors of n. 2, 5, 7 Suppose -6*i = -0*i - 258. List the prime factors of i. 43 Let o(g) = -255*g + 1. What are the prime factors of o(-1)? 2 Suppose -4*b - 270 = -9*b. What are the prime factors of b? 2, 3 Suppose -36 + 13 = -3*h - 2*d, 3*h - 35 = -5*d. Suppose -h*t + 155 = -0*t. List the prime factors of t. 31 Let l = -3 - -5. Suppose -4 = l*m, f - m - 4 = -0. What are the prime factors of f/8 - (-15)/4? 2 Let s(c) = 3*c - 2. Let u be s(2). Suppose 9*y - 190 = u*y. What are the prime factors of y? 2, 19 Suppose -2*l - 14 = u, 2*u + 3*l + 24 = l. Let c = 23 + u. List the prime factors of c. 13 Let w = 9 + 4. Suppose -d = -0*d - w. What are the prime factors of d? 13 Let v be (2/4)/((-6)/(-24)). Suppose -t + 4*t - 41 = -5*a, v*a = t - 32. What are the prime factors of t? 2, 11 Let y(n) = n**3 - 3*n**2 + 2*n + 2. Let x be y(2). Let h be -1*(-8)/(0 - -2). Suppose -15 = -3*v - x*v, -h = -l + v. What are the prime factors of l? 7 Let g = -8 - -23. Suppose -a + 6 = 2*r, -2*r = -7*r + 3*a + g. Suppose t = -2*h + 17, 2*t = r*h + h + 10. List the prime factors of t. 11 What are the prime factors of (-36)/(-3) - (4 + -3)? 11 Suppose -o = -22 + 4. List the prime factors of o. 2, 3 Let m(z) be the first derivative of 2 - 5/2*z**2 + 2*z. List the prime factors of m(-2). 2, 3 Suppose -5*a = -3*p + 19, 0*p + 2*a = 5*p - 19. Let b = p - -7. List the prime factors of b. 2, 5 Suppose -w - 4*u - 14 = 0, -3*u - 2*u = -4*w + 28. What are the prime factors of (-3 - (1 - w)) + 7? 5 Suppose -12 = -4*g + 8. Suppose -g*y + 14 = -1. Suppose 0*k - 21 = -y*k. What are the prime factors of k? 7 Suppose 3*p + 5 = -7. What are the prime factors of p*(-5)/(80/12)? 3 Let t = 16 + -10. What are the prime factors of (-4)/t*7*-3? 2, 7 Let g(w) = 4*w. What are the prime factors of g(19)? 2, 19 Let q(b) be the first derivative of -b**4/4 + 5*b**3/3 + 3*b**2/2 - 7*b - 3. What are the prime factors of q(5)? 2 Let k(c) be the first derivative of c**3/3 - 5*c**2/2 - 3*c - 3. List the prime factors of k(6). 3 Let z = -22 - -20. List the prime factors of (-8 - 17)/(z + 1). 5 Suppose 0 = -4*g - 0*z - z + 295, -5*g = 2*z - 368. What are the prime factors of g? 2, 37 Suppose -3*s - 19 = -t, t + s + 4*s + 21 = 0. List the prime factors of 18/4*t/2. 3 Suppose y - 6*y + 10 = 0. Suppose 19 = 5*c - 31. Suppose 5*f + y*z = -0*f + 41, 0 = f + z - c. List the prime factors of f. 7 What are the prime factors of (-411)/(-1) - (0 + 3)*1? 2, 3, 17 Suppose 4*x - 5*q - 2 = -5, -5*q = 2*x - 21. Suppose 8*h - 5 = 3*h, -3*o + x*h = -18. What are the prime factors of o? 7 Let g be 24/16*20/
{ "pile_set_name": "DM Mathematics" }
0 for w. -27, -9, 70 Suppose 4*g**3 + 6434280*g**2 + 180157488*g + 1261096928 = 0. What is g? -1608542, -14 Factor -2*m**2/9 - 32854286*m/3 - 32854284. -2*(m + 3)*(m + 49281426)/9 Find u such that -60530049371236*u**2 - 995853568*u - 4096 = 0. -32/3890053 Let 2*w**4 - 9940*w**3 + 11176608*w**2 + 2974434496*w + 23075075584 = 0. Calculate w. -214, -8, 2596 What is f in -f**4 - 189*f**3 + 3166*f**2 + 21504*f - 24480 = 0? -204, -6, 1, 20 Suppose -46*x**2/7 - 383960*x/7 - 162112 = 0. What is x? -8344, -68/23 Factor j**2/4 + 24235320*j + 587350735502400. (j + 48470640)**2/4 Determine q so that -3*q**4/4 + 51597*q**3/4 - 217696299*q**2/4 - 35913693321*q/4 - 35478094311/2 = 0. -157, -2, 8679 Let -26*p**4/9 - 13736*p**3/9 + 61422*p**2 - 1064284*p/9 + 525248/9 = 0. Calculate p. -566, 1, 464/13 Determine l so that -4*l**3 + 41896*l**2 + 10574720*l + 659445888 = 0. -124, 10722 Suppose 4*p**3/5 - 14577156*p**2/5 + 13280849604096*p/5 - 13280835026944/5 = 0. Calculate p. 1, 1822144 Factor i**3 - 828301*i**2 + 11596067*i - 40586063. (i - 828287)*(i - 7)**2 Solve -55*a**5 - 284855*a**4 - 483048370*a**3 - 252613998280*a**2 + 26458989861280*a + 4819073402240 = 0. -1756, -2/11, 89 Factor -k**2/6 - 25885*k/3 - 13629308/3. -(k + 532)*(k + 51238)/6 Let c**3 - 7212*c**2 + 3262980*c - 381553984 = 0. Calculate c. 238, 6736 Find p, given that -3*p**4 + 13401*p**3 - 14850678*p**2 - 257834484*p + 1658766120 = 0. -22, 5, 2242 Let -2*g**4/3 - 348*g**3 + 34118*g**2/3 - 30968*g = 0. Calculate g. -553, 0, 3, 28 Solve 86*r**4 - 5108*r**3 + 43082*r**2 - 28188*r - 76464 = 0. -1, 2, 9, 2124/43 Find v such that -8*v**4 + 170*v**3 + 350*v**2 - 650*v + 138 = 0. -3, 1/4, 1, 23 Suppose 3*h**2 - 11838*h + 10517535 = 0. What is h? 1351, 2595 Find a, given that -3*a**5/5 - 33162*a**4/5 + 66336*a**3/5 - 6*a**2/5 - 66333*a/5 + 33168/5 = 0. -11056, -1, 1 Let -q**3/3 + 379307*q**2/3 - 17062740*q = 0. Calculate q. 0, 135, 379172 Find r, given that -r**5/4 + 25*r**4/2 + 4539*r**3/4 + 6416*r**2 - 241783*r + 899640 = 0. -34, -27, 5, 8, 98 Let -3*d**2 - 8617254*d - 17234496 = 0. What is d? -2872416, -2 Determine t so that -2*t**3/7 - 297666290*t**2/7 - 1582236053780338*t + 1582236096304094 = 0. -74416573, 1 Solve 30*n**5/11 - 11329504*n**4/11 + 1069625270110*n**3/11 + 4136014491732*n**2/11 + 3708192179080*n/11 - 570490174864/11 = 0. -2, 2/15, 188827 Let 3*w**4 - 16305*w**3 - 2068704*w**2 + 4202604*w = 0. What is w? -126, 0, 2, 5559 Find a, given that -3*a**3/2 - 26619*a**2 - 2601153*a/2 + 2707641 = 0. -17697, -51, 2 Factor 3*t**4 + 2405664*t**3 + 14433912*t**2 + 28867776*t + 19245168. 3*(t + 2)**3*(t + 801882) Find n, given that -9*n**4 + 23763*n**3 + 54066384*n**2 - 18024768*n = 0. -1464, 0, 1/3, 4104 What is y in 2*y**4/5 + 52*y**3 + 888*y**2/5 - 15696*y/5 - 72576/5 = 0? -126, -6, 8 Let 4*f**4 + 3312*f**3 - 1494336*f**2 + 138689792*f = 0. Calculate f. -1172, 0, 172 Factor 3*j**2/5 - 11223*j + 9507942/5. 3*(j - 18534)*(j - 171)/5 Let i**3/5 - 402*i**2/5 + 38717*i/5 + 58212 = 0. Calculate i. -7, 189, 220 Find o, given that o**5/4 - 671*o**4/2 - 2699*o**3/4 + 3693*o**2 + 4032*o = 0. -4, -1, 0, 3, 1344 Factor 2*u**4/5 + 3612*u**3/5 + 1350018*u**2/5 - 50712480*u + 1971216000. 2*(u - 72)**2*(u + 975)**2/5 Factor -3*k**4 - 16173*k**3 - 1368690*k**2. -3*k**2*(k + 86)*(k + 5305) Find o, given that -3*o**5 + 6684*o**4 + 230787*o**3 - 140304*o**2 - 4978884*o - 4614480 = 0. -34, -4, -1, 5, 2262 Determine u, given that 242*u**5 + 26114990*u**4 + 4748174*u**3 + 215826*u**2 = 0. -107913, -1/11, 0 Solve -3*q**3 - 2205396*q**2 - 405331935660*q - 6484746401472 = 0 for q. -367558, -16 Determine m so that 2*m**2/9 + 66451624*m/9 + 551977291529672/9 = 0. -16612906 What is p in p**2 - 22321*p + 4314570 = 0? 195, 22126 Solve -4*q**3 + 6936*q**2 - 2957052*q - 21040600 = 0. -7, 791, 950 Determine h so that 3*h**5/5 - 19473*h**4/5 - 234423*h**3/5 + 2048637*h**2/5 - 1248036*h/5 - 702324 = 0. -18, -1, 2, 5, 6503 Find v such that 92*v**5 - 18576*v**4 + 70236*v**3 + 206072*v**2 + 126672*v + 9504 = 0. -1, -2/23, 6, 198 Suppose -r**4 + 1939*r**3 - 924618*r**2 + 127166720*r + 936140800 = 0. Calculate r. -7, 320, 1306 Factor 3*a**3 - 8676*a**2 - 174420*a - 873600. 3*(a - 2912)*(a + 10)**2 Suppose b**2 + 30629650*b + 234543864780625 = 0. Calculate b. -15314825 Factor -4*g**2 - 18796*g - 12845080. -4*(g + 830)*(g + 3869) Factor 2*u**3/9 - 188242*u**2/9 + 51465694*u/9 - 3522828686/9. 2*(u - 93847)*(u - 137)**2/9 Determine u, given that 3*u**3/7 + 336*u**2 + 440145*u/7 - 2259900/7 = 0. -465, -324, 5 What is v in 4*v**4 - 93095525*v**3 + 541673606623801*v**2 - 677091886091880*v + 135418372563600 = 0? 1/4, 1, 11636940 Determine m, given that -2*m**5/3 - 154694*m**4/3 - 3987650186*m**3/3 - 34239278998690*m**2/3 + 479972230666724*m/3 - 1371805209472240/3 = 0. -25787, 4, 10 What is j in 4*j**2 - 1044608*j - 173515152 = 0? -166, 261318 Solve w**5/7 + 3622*w**4/7 - 58406*w**3/7 - 102212*w**2 + 17585293*w/7 - 82317026/7 = 0. -3638, -17, 11 Determine m, given that -2*m**4/9 - 13534*m**3/9 - 7652302*m**2/3 - 205382378*m/9 + 228352820/9 = 0. -3379, -10, 1 Suppose 3*f**2 - 137359741*f - 91573162 = 0. What is f? -2/3, 45786581 Find p, given that -3*p**3 + 2079*p**2 + 6264*p = 0. -3, 0, 696 Factor -c**2/3 + 449795*c/3 + 17246550. -(c - 449910)*(c + 115)/3 Solve 2*a**5 - 887*a**4 + 70969*a**3 - 1572769*a**2 + 2236617*a - 733932 = 0. 1/2, 1, 37, 57, 348 Let 2*y**3/5 + 4046*y**2/5 + 351478*y/5 + 6838954/5 = 0. What is y? -1933, -61, -29 Factor 2*w**2 - 1680*w + 327262. 2*(w - 533)*(w - 307) Suppose 2*a**5 - 4532*a**4 + 2567082*a**3 + 672080*a**2 - 383017448*a + 1725278016 = 0. What is a? -14, 6, 8, 1133 What is o in -3*o**3 - 3574296*o**2 - 3574293*o = 0? -1191431, -1, 0 Suppose 2*t**3/9 + 324*t**2 - 32342*t/9 - 11752/3 = 0. Calculate t. -1469, -1, 12 Factor b**2/5 - 12015*b - 120170. (b - 60085)*(b + 10)/5 Find w, given that w**2 + 512234*w + 1024464 = 0. -512232, -2 Let 2*o**4/17 + 41154*o**3/17 - 1442024*o**2/17 + 16816224*o/17 - 65298816/17 = 0. Calculate o. -20612, 11, 12 Suppose -2*s**2/17 + 186672*s/17 - 11006686/17 = 0. What is s? 59, 93277 Factor 2*z**2/7 + 233774580*z/7 + 6831319281772050/7. 2*(z + 58443645)**2/7 Determine v, given that -v**5/4 - 10161*v**4/2 - 102674437*v**3/4 + 1454011056*v**2 + 3010655909*v = 0. -10189, -2, 0, 58 Let b**5/2 - 291*b**4/2 - 12625*b**3/2 + 40471*b**2/2 - 576*b - 26978 = 0. Calculate b. -41, -1, 2, 329 Suppose -19083842*o**3/5 + 73196944*o**2/5 + 12424664*o/5 + 516128/5 = 0. Calculate o. -254/3089, 4 Let 2*w**5/7 + 118*w**4 - 9246*w**3/7 + 34646*w**2/7 - 51668*w/7 + 25440/7 = 0. What is w? -424, 1, 2, 3, 5 Factor 5*k**2 + 19785*k + 2836960. 5*(k + 149)*(k + 3808) Factor 2*x**2/3 + 63340094*x/3 + 126680180/3. 2*(x + 2)*(x + 31670045)/3 Find d such that -4*d**2 + 3182148*d + 9546480 = 0. -3, 795540 Let 5*z**2 - 352515*z + 3524650 = 0. What is z? 10, 70493 Suppose -3*c**2/5 - 179574414*c - 13436237568101415 = 0. Calculate c. -149645345 Let -f**4 + 330*f**3 - 14179*f**2 + 49890*f + 64400 = 0. What is f? -1, 5, 46, 280 Determine q, given that 124*q**4 + 19624*q**3 - 54588*q**2 + 24536*q + 10304 = 0. -161, -8/31, 1, 2 Let -4*m**3 - 20944*m**2 - 479684*m - 458744 = 0. What is m? -5213, -22, -1 Let p**2 - 149708190*p + 5603135538269025 = 0. What is p? 74854095 Let 3*k**5 - 11112*k**4 + 33288*k**3 + 77766*k**2 - 166491*k - 199854 = 0. Calculate k. -2, -1, 3, 3701 Suppose 3292178*o**5/9 + 3659116*o**4 - 36111310*o**3/9 - 12536*o**2 - 88*o/9 = 0. What is o? -11, -2/1283, 0, 1 Find h, given that -3*h**5/4 + 34797*h**4/4 + 174051*h**3/4 + 104451*h**2/4 - 43512*h - 34812 = 0. -4, -1, 1, 11604 Factor -3*c**2 - 690324*c + 1380660. -3*(c - 2)*(c + 230110) Suppose -p**3/4 + 3109*p**2/4 + 114634*p - 232375 = 0. What is p? -143, 2, 3250 Factor f**3 + 549*f**2 - 518380*f + 1550172. (f - 494)*(f - 3)*(f + 1046) Factor 4*c**3 - 156*c**2 - 1248*c - 1840. 4*(c - 46)*(c + 2)*(c + 5) Factor -3*r**2 - 255681*r - 3578946. -3*(r + 14)*(r + 85213) Let 196*d**5 - 38866716*d**4 + 2120577468*d**3 - 29528278772*d**2 + 16357603104*d - 2312329680 = 0. Calculate d. 2/7, 27, 198245 Solve -5*f**2 + 1586730*f = 0 for f. 0, 317346 Let -3*f**4 - 1374*f**3 + 140376*f**2 - 1020738*f - 1162485 = 0. Calculate f. -545, -1, 9, 79 What is w in 74*w**
{ "pile_set_name": "DM Mathematics" }
t value? (a) 0.5 (b) 2 (c) q (d) 3 d Suppose l - 1 = -c, -2*c + 3*l = -68 + 61. Let q = -2 + 5. Let n be ((-24)/(-108))/(c/q). What is the third smallest value in 0.1, n, 2? 2 Let f be 4 - (-84)/(-30) - 78/40. Which is the third biggest value? (a) 0 (b) -0.5 (c) 1/3 (d) f b Let b = 63 - 63.5. What is the third biggest value in -2, b, -4, -1? -2 Let r = 11/2 + -6. Let y be 748/(-2046) - 1/(-3). Let k = 67/155 + y. Which is the third biggest value? (a) r (b) k (c) -2/9 a Let v be (58/3)/((-20)/(-90)). Let h be 2 - 3 - v/(-3). Suppose -7 = 3*p - h. What is the second biggest value in -5/2, p, 1? 1 Let f = 5.011 - 1.011. What is the third smallest value in f, -4, 1, -1? 1 Let d be (24/(-20))/(9/(-30)). Suppose 3*i - 17 = -l - 3*l, -32 = -d*i + 4*l. Which is the third smallest value? (a) i (b) -2/7 (c) -2/11 a Let i = 0.44 - 0.93. Let o = -0.01 + i. Let j = 67 - 67.1. Which is the third biggest value? (a) o (b) 8 (c) j a Let a be (66 - -3)/((-4)/4). Let s = a + 485/7. What is the second biggest value in 3, 3/5, s? 3/5 Let v = 263 - 262. What is the third smallest value in v, -0.361, 1/8? v Let o = -0.04 + -1.96. Let s = o - -2.3. Let q = 6 - 6. What is the smallest value in s, q, -5? -5 Let d = 471 - 1414/3. Which is the third smallest value? (a) 12/5 (b) 4/9 (c) d a Let p = 0.0297 + -0.1297. Which is the third smallest value? (a) 10 (b) -5 (c) p a Let c be -3*4/(-210)*-7. What is the second smallest value in 1/6, -0.5, -1, c? -0.5 Let j = -0.261 - -20.561. Let a = -20 + j. Let w = -1 - 4. What is the second biggest value in 2, a, w? a Let p = 276 + -276.2. Which is the third biggest value? (a) -1/3 (b) 1 (c) p a Let t(i) = -2*i - 9. Let q be (-2)/5 + (-28)/5. Let v be t(q). Which is the smallest value? (a) -0.1 (b) v (c) 1/3 a Let r = 915 - 1829/2. Which is the third biggest value? (a) -1/70 (b) -2/7 (c) r (d) 2/7 a Let m be 1/(-7 - (-4)/2). Let z be (-48)/30*10/4. Let g = -7/2 - z. Which is the second biggest value? (a) m (b) g (c) -5 a Let s = -1411 + 1410.8. Let f = -0.4 + 0.2. Let m = 0.1 + f. What is the second smallest value in 2/3, m, s? m Let n = 26 + -26.24. Let w = -0.64 - n. Which is the second smallest value? (a) -1/10 (b) 3 (c) w a Let g = 3.89 - 0.89. What is the third biggest value in g, 12/7, 0.04? 0.04 Let h = -76.1 - -75.8. Which is the second smallest value? (a) h (b) 12.3 (c) 3 c Let i = -2/739 + 1520/15519. What is the second biggest value in -19, -4, i? -4 Let m = 2227 + -2226. What is the second smallest value in -0.2, m, -77, -4? -4 Let o = -9.99 - -2.99. Which is the third biggest value? (a) 0.1 (b) o (c) -2 (d) 4 c Let n = 1.2 + -0.5. Which is the fourth smallest value? (a) 9 (b) 1/6 (c) -0.2 (d) n a Let y(a) = 17*a**3 + a - 4. Let t(k) = -18*k**3 - k + 5. Let p(f) = 3*t(f) + 4*y(f). Let j be p(1). What is the second smallest value in -3, 3, j? 3 Let w be 1/4*2 + 0. Let i = -0.68 + 0.83. Let l = i - 0.45. Which is the second smallest value? (a) 3 (b) w (c) l b Let w(r) = -16*r - 347. Let v be w(-22). What is the third biggest value in 16, -2, v? -2 Let z = -0.2055 + 0.1355. What is the smallest value in -1, z, -61? -61 Let y = 165 + -174. Which is the third smallest value? (a) 0.3 (b) -0.5 (c) 2/5 (d) y a Let n = -292 - -294. Let m be (-1 - (-215)/190)*(-8)/(-10). Which is the second biggest value? (a) -2 (b) 0.01 (c) n (d) m d Suppose 10*t = 23*t - 65. What is the smallest value in 0.3, -4/11, t? -4/11 Let u = 7 + -10. Let g = -10.28 - -10.48. Which is the third smallest value? (a) g (b) u (c) 3 c Suppose 38 + 2 = 4*v. Let s be (-28)/(-70) + 36/v. Which is the fourth smallest value? (a) -5 (b) -3 (c) s (d) -0.06 c Let p = -2282 - -2280. Let t = -2 - -2.5. Let i = 0.2 + -0.1. Which is the second biggest value? (a) i (b) t (c) p a Let i = -0.7119 + 0.2119. Let q = 3.94 + 0.06. Which is the third smallest value? (a) i (b) 2/21 (c) q (d) -0.3 b Let r(f) = f**3 + f**2 - f + 2. Let q be r(0). Let m = 6 - q. Let u = 2510.8 - 2511. Which is the third biggest value? (a) 1/3 (b) u (c) m b Let l be ((-10)/4*-1 - -1) + -3. Which is the fourth biggest value? (a) 1/4 (b) 0.01 (c) l (d) 4 b Let g(x) = x**2 + 7*x - 2. Let h be g(-7). Let o(j) = 3*j + 4. Let v be o(h). Which is the third smallest value? (a) -1/4 (b) 0.03 (c) v b Let o = -117 - -116.6. Let l = -76 + 75.8. What is the fourth smallest value in -2/9, o, -1/4, l? l Let h be 5/(-6)*(-28)/35. What is the smallest value in h, -2, 16? -2 Let w = -66 - -62. What is the second smallest value in w, 1/14, -2, 1/7? -2 Let s = 6403 + -19211/3. Let c = -2 + 2.2. What is the fourth smallest value in 0.3, 3, s, c? 3 Suppose 0 = 2*f + 5*r + 144, 3*f + 198 = -2*r - r. What is the biggest value in -2/5, 0, f, -3? 0 Let f = 55/18 + -50/9. What is the second smallest value in -1, f, 1, 0.3? -1 Let k = -0.14 - -18.14. Let q = 20 - k. Let i be 1/2 + (-5)/(-2). Which is the second biggest value? (a) 0.1 (b) i (c) q c Let u be 25/105 - ((-15)/7)/5. What is the smallest value in u, -0.21, 8? -0.21 Suppose 2*q + 2*q = 4*l + 4, 0 = -5*q + l + 17. Let i = 1148 + -8032/7. Which is the smallest value? (a) q (b) 0 (c) i b Let d = 52.4 + -52. What is the smallest value in 4, d, -4, 1.5? -4 Let j be 3 + -5 + (-70)/2. Let p = -34 - j. What is the third biggest value in p, 0.1, 3/5? 0.1 Let k = -346 - -343. What is the biggest value in 2, -0.4, -7/3, k? 2 Let f be 2 - (-1 - 42/(-16)). Let s = -80 - -82. Which is the second biggest value? (a) f (b) s (c) -4 a Let y = 145 + -98. Let k = -37104/5 + 7468. Let q = y - k. Which is the third smallest value? (a) q (b) -0.3 (c) 0.5 c Let s be (1936/24)/((-4)/6). Let t = 122 + s. Let d = 0.2 - 0.16. What is the third smallest value in t, -1/2, d? t Let j = 25 - 34. Let x = j - -6. What is the third smallest value in x, 0.2, 2? 2 Let j = -1 + 1. Let l = -88 - -133. Let p = l + -49. Which is the biggest value? (a) j (b) -0.22 (c) p a Let i = -30 - -30.1. Let b = -49 - -29. Let z = b + 20.2. What is the second biggest value in i, z, 1/2? z Let g = 13 - 9. Suppose 4*c + 8 = 0, 7*c = -4*d + g*c - 10. What is the smallest value in 0, -1/10, d? d Suppose -8*u - 8 = -24. Let w be u/(-3) + 5/((-180)/(-16)). Let q = 0.02 + -0.42. Which is the second biggest value? (a) q (b) w (c) -4 a Let x = -7823/3 - -2606. Which is the second biggest value? (a) x (b) 1.3 (c) -8 (d) 0.3 d Let i = -0.4 - -0.38. Let f = 51.98 - 53. Let k = f - i. Which is the second biggest value? (a) -0.4 (b) 0.2 (c) k a Let n = 999 + -1002. Which is the second biggest value? (a) n (b) -97 (c) 5 (d) -0.2 d Let u = -78 + 78. Which is the third smallest value? (a) 35 (b) -1 (c) u (d) 2 d Let m = -976.92 - -0.92. Which is the second smallest value? (a) 0 (b) -2/13 (c) m b Let i = 10.8 + -13.8. Which is the second biggest value? (a) -27 (b) 0 (c) i c Suppose 6*a - 5*a - 92 = 5*g, a = 2. What is the fourth smallest value in g, -2, 1, 4? 4 Let r = -156 - -1245/8. Let l = 11 - 7. Let y = -2.02723 - -0.02723. What is the third biggest value in l, r, y? y Let n = 137 + -137.5. Which is the smallest value? (a) n (b) 0.04 (c) 2 a Suppose 0 = -g + 4*f + 12, -5*g - 2*f = 14 + 14. Let h = -4 + 3.3. Let c = h + 1. What is the third smallest value in g, c, -1/3? c Let j = 2615 - 2612. What is the second biggest value in 1, j, -10, -5? 1 Let m = 568 - 9655/17. Which is the second biggest value? (a) 1 (b) m (c) -0.5 b Let r(w) = -2*w**2 - 21*w + 36. Let j be r(-12). What is the third smallest value in -134, j, -2, -0.4? -0.4 Let h = -1.14 + 0.94. Which is the fourth biggest value? (a) 0.3 (b) 0 (c) -1 (d) h c Let r be (-14)/(-35) + (-74)/10. Let g = 608 - 604. What is the fourth biggest value in g, 0.1, 1, r? r Let u(r) = r**3 - 25*r - 15*r**2 + r**3 + r**2 - 3*r**3 - 17. Let s be u(-12). Which is the smallest value? (a) 0.2 (b) s (c) 5/6 b Let f = -138.7 + 139. Which is the third biggest value? (a) f (b) 1/2 (c) -0.2 (d) -1/6 d Let t be (-12)/(-21)*(-42)/(-228). Let m = -0.9 + 1.4. Which is the second biggest value? (a) m (b) -5 (c) t c Suppose 0 = 3*g + 8*g - 22. Which is the second smallest value? (a) g (b) -2/11 (c) 4/5 (d) 0 d Let p be (40/(-105))/8*6. Which is the second
{ "pile_set_name": "DM Mathematics" }
b**2 + 32*p**4 - 2*p**2 + 2*p wrt p? 12*b**2*p + 384*p**2 - 4 What is the derivative of -5718*c*k**2 + 245*c + 1 wrt k? -11436*c*k What is the third derivative of -120*d**3*h**3 + 8*d**2*h**3 + d**2*h**2 wrt d? -720*h**3 What is the derivative of -d**3*l**3*p + 8*d**3*l**2 + 1347*d**3*p + 89*d*l**3 wrt p? -d**3*l**3 + 1347*d**3 Find the third derivative of -5*i*q**2*x**3 + 2*i*q**2*x**2 - 5*i*q*x**3 - 18*i*x**2 - 6*q**2*x - 2*q*x**3 wrt x. -30*i*q**2 - 30*i*q - 12*q Differentiate 6755*o - 5472 with respect to o. 6755 What is the third derivative of -1117*m**3 - 2158*m**2 wrt m? -6702 What is the second derivative of -26*w**4 + 144*w**2 - 369*w + 5? -312*w**2 + 288 What is the second derivative of -3*d**2*z**2 - 6*d**2*z - 4*d + 228*z**3 + 42*z wrt z? -6*d**2 + 1368*z What is the second derivative of -11*u**3 - 11*u**2 - 85*u + 4 wrt u? -66*u - 22 Find the third derivative of c**4*s + 50*c**4 - c**3*s - 16*c**2*s - 5*s wrt c. 24*c*s + 1200*c - 6*s Differentiate g**4 + g**3 - 1496*g**2 + 76 with respect to g. 4*g**3 + 3*g**2 - 2992*g Find the third derivative of 7*w*y**6 - 2*w - 7*y**6 + 4*y**2 - 3 wrt y. 840*w*y**3 - 840*y**3 Differentiate -2*d**4*j**3 - 232*d*j**3 - 393*j**3 with respect to d. -8*d**3*j**3 - 232*j**3 Find the second derivative of 2*m**3*n**2 + 4*m**3*n*y - 2*m**3*y + m**2*n**2*y**2 - 36*m**2*n**2 + m**2*n*y**2 - 38*m*n*y - 2*m*y**2 wrt n. 4*m**3 + 2*m**2*y**2 - 72*m**2 What is the second derivative of 304*f*k**2 - 5*f*k - 5*f - 3 wrt k? 608*f Find the second derivative of -2183*g**2 + 2*g + 75. -4366 What is the first derivative of 2*k**2*u*v + 41*k**2 + 3*k*v**2 + u*v**2 - v**2 + 2 wrt k? 4*k*u*v + 82*k + 3*v**2 What is the second derivative of 3705*t**3*x**2 + 4*t**3*x - 16*t**2*x + 2*t + x**3 - 2*x wrt x? 7410*t**3 + 6*x Find the second derivative of c**2*x + 1499*c**2 - 1977*c*x wrt c. 2*x + 2998 Find the first derivative of -63*o**2*v + 2*o**2 - 48*v wrt o. -126*o*v + 4*o Find the third derivative of 6146*z**5 - 34*z**2 + 33. 368760*z**2 What is the second derivative of -a**3 + 41*a**2 - 655*a wrt a? -6*a + 82 Find the second derivative of 76*j**3 - j**2 - 495*j wrt j. 456*j - 2 What is the third derivative of 967*f**6 - f**5 - 1326*f**2 - f? 116040*f**3 - 60*f**2 What is the third derivative of 2*h**4*v + 190*h**4 - 8*h**3 + 16*h**2 + 36*h*v + 5*h wrt h? 48*h*v + 4560*h - 48 What is the first derivative of g**3 + 5193*g*z + 6*z + 1835 wrt g? 3*g**2 + 5193*z What is the second derivative of -m**3 - 1018*m**2*q - m**2 - 5*m*q - 1318*q wrt m? -6*m - 2036*q - 2 Differentiate -14008*d**2 + 11485 with respect to d. -28016*d What is the second derivative of 123*v**3 - v + 90 wrt v? 738*v What is the second derivative of 363*a**3 + 438*a wrt a? 2178*a Find the third derivative of 84*c**5 + 4*c**3 + 1135*c**2 wrt c. 5040*c**2 + 24 What is the first derivative of 2*a**2*h - 7*a**2 + 23*a + 2*h**3 + 22*h wrt h? 2*a**2 + 6*h**2 + 22 What is the second derivative of -d**5 - 2*d**3*z + 62*d**2*z + 3*d*z - 129*d wrt d? -20*d**3 - 12*d*z + 124*z Find the third derivative of -j*n**4*z + 25*j*n**3*z - 2*j - 8*n**4*z + n**2 - 3*n*z + 22*z wrt n. -24*j*n*z + 150*j*z - 192*n*z What is the second derivative of 7*q**5 + q**3*w**2 - 6*q**3*w + 2*q*w**2 - 3*q*w + w wrt q? 140*q**3 + 6*q*w**2 - 36*q*w Find the first derivative of 161*v*w**2 + 1454*w**2 wrt v. 161*w**2 Differentiate 1550*c**3 + 782 with respect to c. 4650*c**2 Find the third derivative of 4*d*l**6 + 1734*d*l**4 + d*l + 2*l**2 - 173*l wrt l. 480*d*l**3 + 41616*d*l Differentiate 1443*l - 846 wrt l. 1443 What is the second derivative of 125*u**3 - 18*u? 750*u Find the third derivative of -b**3*i**3*n**2 + 159*b**3*i*n**2 + 2*b**2*i**3*n**2 - 2*b**2*n**2 - 2*b*i**3*n**2 + 93*b*n**2 wrt b. -6*i**3*n**2 + 954*i*n**2 Find the third derivative of -617*h**5 - 703*h**2. -37020*h**2 Find the second derivative of 3035*n**2 - 19*n + 241. 6070 What is the second derivative of -f*u**2 - f - 1686*u**5 + 993*u wrt u? -2*f - 33720*u**3 Find the second derivative of 3453*a*n**2*p + a*n + 2*n*p + 2*p + 6 wrt n. 6906*a*p Differentiate -599*x**4 + 2*x**3 - 641. -2396*x**3 + 6*x**2 Differentiate -4411*o - 3741. -4411 Find the third derivative of 2*n**6*v + 49*n**3*v - n**2 + 13*n*v - 7*n wrt n. 240*n**3*v + 294*v What is the derivative of -c**3*n**2 - c**3*n + 523*c**3*s + 11*n**2*s + 35*n**2 + 3*n wrt s? 523*c**3 + 11*n**2 Find the second derivative of -289*a*j**4 + a*j**2 + 1029*a*j + 2*j**5 wrt j. -3468*a*j**2 + 2*a + 40*j**3 Find the third derivative of 13*r**4 - 74*r**3 - 2359*r**2 wrt r. 312*r - 444 Differentiate 4049*q**4 + 1833. 16196*q**3 Differentiate -4*k*n*s*v**2 - k*n*v**3 + 29*k*n - 2*k*s + 3*k*v**3 + k*v**2 - s*v**3 with respect to n. -4*k*s*v**2 - k*v**3 + 29*k Find the third derivative of 6*a**5*p**2 - 92*a**5*p - 2*a**2*p**2 - 3*a**2 + 5*a*p**2 - 6*a wrt a. 360*a**2*p**2 - 5520*a**2*p Find the third derivative of -9*h**4*p**2 + 50*h**3*p**2 - 666*h**2*p**2 - p**2 wrt h. -216*h*p**2 + 300*p**2 Find the third derivative of a**5 - 1364*a**3 + 1726*a**2 wrt a. 60*a**2 - 8184 What is the second derivative of 7933*b**2 + 6739*b? 15866 Find the second derivative of 5*n**2*w**3 - 10*n**2*w**2 - 339*n*w**2 + 2*w**3 wrt n. 10*w**3 - 20*w**2 Find the third derivative of -1897*c**6 - 2*c**5 + 252*c**2 + 15*c. -227640*c**3 - 120*c**2 Find the third derivative of -4*j**4*w + 3*j**4 - 2*j**3*w - 18*j**3 - j**2*w + 2*j*w - 994 wrt j. -96*j*w + 72*j - 12*w - 108 What is the second derivative of -n**2*q**2 - 144*n**2*q + 19*n*q**2 + q**2 wrt n? -2*q**2 - 288*q Differentiate 5065*v**3 + 4061 with respect to v. 15195*v**2 What is the second derivative of -217*y**3 + 1075*y? -1302*y Find the second derivative of -7*t**2*z**3 + t**2*z**2 - 21*t**2 - 8*t*z**3 + 40*t*z**2 - 2*z**3 wrt t. -14*z**3 + 2*z**2 - 42 What is the third derivative of 42*f**3*j + 14*f**3 - 7*f**2*j - 116*j wrt f? 252*j + 84 What is the first derivative of 11*n**2*r*w + n**2*r - 199*n**2*w - 5*n*r*w wrt r? 11*n**2*w + n**2 - 5*n*w Find the first derivative of -8476*s + 9372. -8476 Find the third derivative of 10180*w**3 - 462*w**2 + 2*w - 1 wrt w. 61080 What is the third derivative of 11*f*z**4 + 4*f*z**3 - 1306*f*z**2 - z**3 - z**2 wrt z? 264*f*z + 24*f - 6 Differentiate -15189*f*t*x**2 + 3*t*x**2 + 973*x**2 - 2 with respect to f. -15189*t*x**2 What is the third derivative of 622*f**5 + 360*f**2 wrt f? 37320*f**2 What is the third derivative of -7*d**2*h**3 + 3*d**2*h**2 + 8*d**2 + 4*d*h**3 + 42*d*h**2 - 2*h**3 + 2*h**2 wrt h? -42*d**2 + 24*d - 12 What is the derivative of -12*u**4 - u**2 + 22 wrt u? -48*u**3 - 2*u Find the first derivative of 3376*q**2 + 1042 wrt q. 6752*q What is the third derivative of -10*m**6*w + m**3*w**2 + 74*m**2 - 2*w**2 + w wrt m? -1200*m**3*w + 6*w**2 What is the third derivative of -573*o**3 - 209*o**2 + 1? -3438 What is the first derivative of 328*t**4 - 8*t*u + 365*u wrt t? 1312*t**3 - 8*u What is the second derivative of -11*i**4 + 5*i**2 + 718*i wrt i? -132*i**2 + 10 What is the second derivative of a**2*g**3*n**2 - 2*a**2*n**3 - 6*a**2*n**2 - 10*a*g**3*n + 8*a*g*n**3 + 3*n**2 wrt a? 2*g**3*n**2 - 4*n**3 - 12*n**2 What is the third derivative of 8*s**3 - 267*s**2? 48 What is the second derivative of 25*p**5 + 4*p**2 + 42*p - 3? 500*p**3 + 8 What is the derivative of -5*s*x**2 - 478*s*x - 10019*s - x**2 + x wrt x? -10*s*x - 478*s - 2*x + 1 What is the derivative of 1575*y**4 + 2099? 6300*y**3 What is the derivative of 2*k*p**3 + 74*k + 1680*p**3 wrt k? 2*p**3 + 74 What is the first derivative of 312*z**3 - z - 9473 wrt z? 936*z**2 - 1 What is the third derivative of 14*s**2*t**3*w + 2*s**2*t**2 + 163*s**2*w**3 + s**2 + t**3*w**3 + 2*t**2*w**2 wrt w? 978*s**2 + 6*t**3 Find the second derivative of -238*l**2*t**2 - 2*l**2*t - 111*l**2 + t**2 + t wrt t. -476*l**2 + 2 What is the second derivative of -10*l**5 - 28*l**3 - 5*l**2 - 2632*l wrt l? -200*l**3 - 168*l - 10 What is the second derivative of 2475*b**5 + b**2 + 5874*b wrt b? 49500*b**3 + 2 Differentiate -1442*q**2 - 1284. -2884*q What is the first derivative of 316*k**4 - 2*k**2 + 1054? 1264*k**3 - 4*k Find the third derivative of 2*f**5 - 3104*f**4 - f**2 + 55*f + 2. 120*f**2 - 74496*f Find the second derivative of -23*s**2*w**3 + 14*s**2*w**2 -
{ "pile_set_name": "DM Mathematics" }
09885 prime? False Is 78773 a prime number? False Is 395774 a prime number? False Is 9305 prime? False Is 18155 a prime number? False Is 329 composite? True Is 2459 a prime number? True Is 1418441 a prime number? False Is 427969 a composite number? False Is 520261 prime? False Is 274909 a composite number? False Is 28109 prime? True Is 20283 prime? False Is 25693 a prime number? True Is 5201 a prime number? False Is 239359 a composite number? True Is 448597 a prime number? True Is 24611 prime? True Is 40881 a composite number? True Is 20477 a prime number? True Is 3953 prime? False Is 17159 a composite number? False Is 5813 composite? False Is 1093577 prime? True Is 9431 composite? False Is 4421 composite? False Is 3079 a prime number? True Is 322843 a composite number? True Is 476297 prime? False Is 45249 composite? True Is 9774059 composite? False Is 2027459 prime? False Is 110039 a prime number? True Is 78943 composite? True Is 64433 prime? True Is 3346061 a composite number? False Is 645179 a composite number? False Is 3341 prime? False Is 16207 composite? True Is 662 composite? True Is 446309 a prime number? True Is 30427 prime? True Is 9479 prime? True Is 379963 a composite number? False Is 3337151 composite? True Is 1641433 a composite number? True Is 91571 a composite number? False Is 10133 composite? False Is 2174 a prime number? False Is 74549 a composite number? True Is 16979 composite? False Is 358013 composite? True Is 3119 prime? True Is 1312277 a composite number? False Is 45538 a prime number? False Is 2923 a prime number? False Is 1836553 composite? False Is 531627 a prime number? False Is 483863 composite? False Is 24469 a prime number? True Is 245653 prime? True Is 86923 a composite number? False Is 1599203 composite? False Is 24239 composite? False Is 80737 prime? True Is 36739 a prime number? True Is 121117 prime? False Is 719107 a prime number? False Is 1055671 prime? True Is 20789 a composite number? False Is 78341 prime? True Is 899513 prime? False Is 298493 composite? True Is 6589 composite? True Is 286859 prime? True Is 25657 composite? False Is 3937 a composite number? True Is 318397 composite? True Is 86923 composite? False Is 30551 a composite number? True Is 1247 prime? False Is 6761 a composite number? False Is 10061 prime? True Is 38147 prime? False Is 11733 a prime number? False Is 798269 a composite number? True Is 235931 prime? False Is 4985 a composite number? True Is 25073 a prime number? True Is 19181 a prime number? True Is 540803 a prime number? True Is 538015 composite? True Is 228205 composite? True Is 1797767 a composite number? True Is 1430987 composite? False Is 76319 a composite number? True Is 20561 composite? True Is 1481 composite? False Is 45469 a prime number? False Is 358945 prime? False Is 37 a composite number? False Is 392039 a prime number? False Is 37081 a composite number? True Is 9533 a prime number? True Is 629171 a composite number? False Is 3101 prime? False Is 27767 prime? True Is 43807 a prime number? False Is 26669 a prime number? True Is 18583 composite? False Is 268727 a prime number? False Is 160831 prime? False Is 42079 prime? False Is 341995 composite? True Is 55103 a prime number? True Is 11923 a composite number? False Is 56077 composite? True Is 41911 prime? True Is 21439 a composite number? True Is 2259671 a prime number? True Is 24637 composite? True Is 953 composite? False Is 125959 a prime number? True Is 2787971 prime? True Is 212557 composite? False Is 566273 composite? False Is 2971 a prime number? True Is 211493 a prime number? True Is 133483 composite? True Is 1728401 composite? True Is 8779 composite? False Is 1473109 prime? False Is 115679 prime? True Is 94949 prime? True Is 78041 a composite number? False Is 33103 a composite number? True Is 1966593 composite? True Is 62639 prime? True Is 196358 prime? False Is 140717 composite? False Is 17638 prime? False Is 741669 composite? True Is 1201787 composite? False Is 708277 composite? True Is 557 composite? False Is 37381 composite? True Is 16217 a prime number? True Is 53759 composite? False Is 689 prime? False Is 920783 composite? False Is 13397 a composite number? False Is 11179 prime? False Is 8553 prime? False Is 19939 a prime number? False Is 605471 a prime number? True Is 2047 a prime number? False Is 9939 composite? True Is 376051 a composite number? True Is 19829 composite? True Is 667013 a prime number? True Is 14971 composite? True Is 1762 a prime number? False Is 8637 prime? False Is 35879 a prime number? True Is 191405 composite? True Is 84689 composite? True Is 315538 a prime number? False Is 862117 a composite number? False Is 20219 a composite number? False Is 2284241 a composite number? False Is 9647 composite? True Is 257473 composite? False Is 232499 composite? False Is 561283 a prime number? False Is 120781 a prime number? False Is 24439 a prime number? True Is 80942 prime? False Is 2391401 composite? False Is 11591 composite? True Is 438911 a composite number? True Is 112061 prime? True Is 20593 composite? False Is 835897 prime? True Is 8767 a prime number? False Is 54722 a composite number? True Is 275813 composite? False Is 910883 prime? True Is 19741 prime? False Is 73517 a composite number? False Is 15599 a prime number? False Is 415141 prime? True Is 1361 a prime number? True Is 25161 composite? True Is 167291 prime? False Is 49019 a composite number? False Is 9287 composite? True Is 2203 composite? False Is 1016727 prime? False Is 142063 a composite number? True Is 1859269 a composite number? False Is 64271 a prime number? True Is 35314 a prime number? False Is 289937 prime? True Is 121061 a prime number? True Is 40201 composite? True Is 5173 a prime number? False Is 191969 a prime number? True Is 49319 a prime number? False Is 2119967 composite? False Is 15245 a composite number? True Is 9391 prime? True Is 4421 prime? True Is 43327 a composite number? True Is 125563 prime? False Is 26653 a prime number? False Is 1546877 a prime number? False Is 12871 prime? False Is 155009 a composite number? False Is 124977 a prime number? False Is 29899 composite? True Is 1041 prime? False Is 1187 prime? True Is 108487 composite? True Is 2957 a composite number? False Is 7561 a composite number? False Is 569461 prime? True Is 32831 a composite number? False Is 23101 composite? True Is 178471 composite? True Is 873745 a prime number? False Is 78763 a composite number? True Is 20609 a prime number? False Is 2081 composite? False Is 248851 prime? True Is 1771766 a prime number? False Is 629891 prime? True Is 13121 a composite number? False Is 14197 prime? True Is 20281 composite? True Is 18687 prime? False Is 449149 prime? True Is 475113 composite? True Is 108411 a composite number? True Is 217307 a composite number? False Is 6421 a composite number? False Is 26801 a prime number? True Is 2732749 a prime number? True Is 2229523 composite? False Is 1494853 a prime number? True Is 26227 prime? True Is 295637 a prime number? False Is 26927 a composite number? False Is 14983 prime? True Is 38251 a prime number? False Is 1097293 prime? True Is 62201 composite? False Is 25691 prime? False Is 739099 a composite number? False Is 99443 a prime number? False Is 49783 a composite number? False Is 1777 composite? False Is 5189 a prime number? True Is 3624661 composite? True Is 2503 a composite number? False Is 99887 a composite number? True Is 395 a prime number? False Is 317 prime? True Is 1721 composite? False Is 400847 composite? True Is 3367401 prime? False Is 3691 a prime number? True Is 535957 prime? True Is 31199 composite? True Is 189509 prime? True Is 8081 prime? True Is 1603709 a prime number? True Is 42271 prime? False Is 37581 composite? True Is 67101 prime? False Is 10397 composite? True Is 1692763 a composite number? False Is 15277 a prime number? True Is 821 composite? False Is 64831 a prime number? False Is 742571 a prime number? False Is 26539 a composite number? False Is 50021 a prime number? True Is 2927 a composite number? False Is 106531 a composite number? False Is 1196747 prime? False Is 173567 a composite number? True Is 7601 a prime number? False Is 3281 prime? False Is 38029 a prime nu
{ "pile_set_name": "DM Mathematics" }
etters picked without replacement from {b: 1, q: 2, p: 1, d: 1, o: 1, j: 1}. 1/42 Calculate prob of sequence yf when two letters picked without replacement from yhyjyvyofjov. 1/33 Calculate prob of sequence htqq when four letters picked without replacement from mqqxtxtxxhmxqmxxm. 1/4760 Four letters picked without replacement from zzzddzzddzzzddznz. Give prob of sequence zzzn. 3/238 What is prob of sequence dgeo when four letters picked without replacement from ooooooogoodoe? 1/1716 Three letters picked without replacement from {j: 1, z: 2, k: 1, q: 1, e: 2, t: 1}. What is prob of sequence eje? 1/168 Calculate prob of sequence les when three letters picked without replacement from {e: 1, s: 1, f: 1, l: 3, r: 1}. 1/70 Calculate prob of sequence xs when two letters picked without replacement from {y: 1, u: 1, i: 3, x: 4, s: 2, l: 1}. 2/33 What is prob of sequence zz when two letters picked without replacement from {z: 4}? 1 What is prob of sequence ppy when three letters picked without replacement from {y: 1, p: 3}? 1/4 Three letters picked without replacement from vzvtvmvvovvvumv. What is prob of sequence voz? 3/910 Four letters picked without replacement from vhurourvrhvrruo. What is prob of sequence urov? 1/364 What is prob of sequence ov when two letters picked without replacement from vgogoggv? 1/14 Two letters picked without replacement from rrhrrrhfrrqrfqfhrrf. Give prob of sequence ff. 2/57 Two letters picked without replacement from kbbk. Give prob of sequence bb. 1/6 Calculate prob of sequence bk when two letters picked without replacement from {b: 2, k: 8}. 8/45 Two letters picked without replacement from {s: 3, e: 3, j: 1}. What is prob of sequence ej? 1/14 Calculate prob of sequence pq when two letters picked without replacement from {f: 3, k: 1, p: 2, q: 1}. 1/21 What is prob of sequence xm when two letters picked without replacement from ggmagmaxuggga? 1/78 Four letters picked without replacement from {n: 2, s: 4, k: 1, i: 1, a: 3}. What is prob of sequence ikna? 1/1320 Calculate prob of sequence rsr when three letters picked without replacement from {r: 6, s: 12}. 5/68 Calculate prob of sequence tt when two letters picked without replacement from {t: 9, l: 9}. 4/17 Three letters picked without replacement from nytztkh. Give prob of sequence ykn. 1/210 Calculate prob of sequence ussx when four letters picked without replacement from {d: 2, x: 3, s: 2, u: 1, m: 3, o: 1}. 1/1980 What is prob of sequence xw when two letters picked without replacement from ulxumxmwmu? 1/45 Three letters picked without replacement from vsusvevsmuvz. What is prob of sequence ume? 1/660 Calculate prob of sequence wwee when four letters picked without replacement from {e: 2, i: 1, w: 2}. 1/30 Three letters picked without replacement from pggpgpgppppgggpgggp. What is prob of sequence ppg? 40/323 Four letters picked without replacement from uynuuyunuuunuyuuuy. What is prob of sequence nuuy? 11/612 Calculate prob of sequence yhh when three letters picked without replacement from {x: 7, y: 4, h: 3}. 1/91 What is prob of sequence uf when two letters picked without replacement from {v: 1, u: 1, f: 2, x: 1}? 1/10 What is prob of sequence onn when three letters picked without replacement from {o: 2, n: 2, t: 1, e: 1, a: 1, l: 2}? 1/126 Three letters picked without replacement from bbbbwbbbbbbb. Give prob of sequence bwb. 1/12 Calculate prob of sequence ccy when three letters picked without replacement from {c: 2, y: 6}. 1/28 Two letters picked without replacement from {a: 7}. What is prob of sequence aa? 1 Two letters picked without replacement from kkkkkkkkkkkkkkkdkdk. What is prob of sequence dd? 1/171 Three letters picked without replacement from {w: 2, l: 1, n: 3, p: 4}. What is prob of sequence llw? 0 Calculate prob of sequence kv when two letters picked without replacement from vyumukvvyy. 1/30 Calculate prob of sequence sc when two letters picked without replacement from ttccsctctc. 1/18 Three letters picked without replacement from {f: 10, q: 2, y: 2, n: 3, h: 1, t: 1}. What is prob of sequence hfq? 10/2907 Three letters picked without replacement from {x: 2, m: 4, u: 8, w: 3, c: 2}. What is prob of sequence xcc? 2/2907 Four letters picked without replacement from {n: 1, f: 3, h: 3}. What is prob of sequence nfff? 1/140 What is prob of sequence mp when two letters picked without replacement from {p: 2, m: 6}? 3/14 What is prob of sequence pp when two letters picked without replacement from {p: 4, j: 7}? 6/55 What is prob of sequence xex when three letters picked without replacement from xxxe? 1/4 Two letters picked without replacement from {y: 2, a: 6, l: 3, e: 6, i: 1}. Give prob of sequence ia. 1/51 Calculate prob of sequence bwqq when four letters picked without replacement from qbwqcqwwcn. 1/280 Two letters picked without replacement from {i: 2, o: 1, x: 1, r: 2}. Give prob of sequence rx. 1/15 Four letters picked without replacement from {z: 1, q: 5, d: 4, s: 6}. Give prob of sequence dzqd. 1/728 Two letters picked without replacement from uiuuiiuuuuu. Give prob of sequence ui. 12/55 Three letters picked without replacement from {m: 9}. Give prob of sequence mmm. 1 Calculate prob of sequence ona when three letters picked without replacement from nonoaanonaonaonno. 7/170 Calculate prob of sequence aa when two letters picked without replacement from eeaeeeeeaeaeeeeeeeee. 3/190 What is prob of sequence ht when two letters picked without replacement from wwwhhwtwh? 1/24 Three letters picked without replacement from {v: 4}. Give prob of sequence vvv. 1 Three letters picked without replacement from wwwwwswswsww. What is prob of sequence www? 21/55 Four letters picked without replacement from ppppvddpvppppp. Give prob of sequence vddv. 1/6006 What is prob of sequence so when two letters picked without replacement from aamossmmmassaam? 2/105 Two letters picked without replacement from jyay. Give prob of sequence yy. 1/6 What is prob of sequence mmzz when four letters picked without replacement from {m: 6, z: 2}? 1/28 Two letters picked without replacement from {t: 7, i: 2, v: 2, o: 4, d: 2}. Give prob of sequence vo. 1/34 Two letters picked without replacement from {w: 3}. What is prob of sequence ww? 1 Three letters picked without replacement from {g: 12, c: 1}. Give prob of sequence ccc. 0 Three letters picked without replacement from {u: 1, r: 4, q: 2, o: 4}. What is prob of sequence qoo? 4/165 Three letters picked without replacement from yciyyyycpypyhyyyyyp. Give prob of sequence pih. 1/1938 What is prob of sequence rk when two letters picked without replacement from kuur? 1/12 Two letters picked without replacement from rbrooobgbabbbaob. What is prob of sequence ab? 7/120 Two letters picked without replacement from vuvvxppuxvxxvyk. Give prob of sequence ux. 4/105 What is prob of sequence tc when two letters picked without replacement from {c: 3, m: 3, t: 1}? 1/14 Two letters picked without replacement from {r: 1, t: 3, c: 6, y: 5}. Give prob of sequence rc. 1/35 What is prob of sequence hhh when three letters picked without replacement from ttthtttthtttttttthtt? 1/1140 Three letters picked without replacement from uhrrrruh. Give prob of sequence rur. 1/14 What is prob of sequence bzzg when four letters picked without replacement from bdgxdvgvgbzgdgbzgd? 1/2040 Calculate prob of sequence odo when three letters picked without replacement from oooooooddddooo. 15/91 Four letters picked without replacement from {b: 3, t: 1, s: 3, u: 3, a: 2, o: 1}. What is prob of sequence atus? 3/2860 Four letters picked without replacement from {a: 3, e: 3, t: 11, q: 2}. What is prob of sequence attq? 55/7752 Calculate prob of sequence xqkg when four letters picked without replacement from {k: 3, x: 2, g: 1, q: 4}. 1/210 What is prob of sequence aaaa when four letters picked without replacement from aaaaaaa? 1 What is prob of sequence vu when two letters picked without replacement from uhhhuuchhhucmhv? 2/105 Four letters picked without replacement from zffavvvcffavvcvvffq. Give prob of sequence azvv. 7/7752 What is prob of sequence zpcp when four letters picked without replacement from pzzpcpcpc? 1/42 Calculate prob of sequence jje when three letters picked without r
{ "pile_set_name": "DM Mathematics" }
red thousands digit of 91338165? 3 What is the ten thousands digit of 441957881? 5 What is the thousands digit of 226977384? 7 What is the hundreds digit of 5098883372? 3 What is the ten millions digit of 3904364333? 0 What is the ten millions digit of 197383267? 9 What is the hundreds digit of 1081516074? 0 What is the tens digit of 54228830? 3 What is the units digit of 1768008728? 8 What is the millions digit of 1609735471? 9 What is the tens digit of 124028535? 3 What is the millions digit of 80356138? 0 What is the hundred thousands digit of 4640727023? 7 What is the hundred millions digit of 334757715? 3 What is the tens digit of 4175203514? 1 What is the thousands digit of 271982820? 2 What is the thousands digit of 48024587? 4 What is the hundred thousands digit of 1188320991? 3 What is the ten thousands digit of 2596454? 9 What is the tens digit of 714940? 4 What is the hundreds digit of 3947936753? 7 What is the units digit of 8139258? 8 What is the ten thousands digit of 1344565432? 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2 What is the tens digit of 52970635? 3 Wha
{ "pile_set_name": "DM Mathematics" }
False Suppose 8*w + 291 = 11*w. Is 9 a factor of w? False Suppose -4*z = -z - 3. Suppose 0 = -2*y - 5*d + 20, -y = -2*y + 2*d + z. Suppose 0 = 5*j - 0*j + y, -5*j = 2*i - 29. Is i a multiple of 8? False Let n = 16 - 9. Suppose n = -v - 4. Let y = 14 - v. Is y a multiple of 9? False Let p be ((-2 - -2) + -1)*-12. Does 3 divide 39/p + 2/(-8)? True Let u = 288 - 163. Is u a multiple of 25? True Let l(z) = -1 + 1 + 4 + z - 2. Is 6 a factor of l(4)? True Let g = 2 + 3. Suppose -g*n + 7 = -4*n. Let v(m) = m**3 - 8*m**2 + 8*m. Does 7 divide v(n)? True Suppose -g - 44 = -3*g + 4*r, g + 3*r + 3 = 0. Let z = g - -38. Is z a multiple of 21? False Is 41 - (0 + -3) - 3 a multiple of 11? False Let d be -98*(-1 - (-2)/(-4)). Suppose m - d = -2*m. Does 14 divide m? False Let t(m) = m**2 - m + 7. Let f = -18 + 12. Let k be f/(-2 + -1) + -2. Is 7 a factor of t(k)? True Let t(v) = -v**2 - 8*v - 1. Let z = -6 + 0. Let n be t(z). Suppose n = 5*x - 14. Does 2 divide x? False Let a be 2/(-8) + 25/4. Let x be a/(-15) + 144/10. Does 17 divide 4/x - (-1920)/42? False Suppose 2*q + 7 = 4*l - 21, 5*l + 2*q - 26 = 0. Suppose l*n - 10 = n. Suppose f = -n*i - 0*f + 30, 4*i + 3*f - 60 = 0. Does 15 divide i? True Does 13 divide (6 - 3) + 63 + -1? True Let u = -124 - -212. Suppose h + 270 - 58 = 4*r, 2*r - u = 5*h. Is r a multiple of 18? True Let t = -44 - -26. Let y be -40 - (-1 + -3 + 6). Let v = t - y. Is 24 a factor of v? True Let g(m) = -202*m - 2. Does 25 divide g(-1)? True Let b be 2/4 - 33/6. Let y(f) = f**2 + 2*f + 1. Is 16 a factor of y(b)? True Suppose -5*o + 18 = 2*g, o + 4 = g + 2. Let z = o - -14. Suppose -r - 6 = -z. Is r a multiple of 3? False Suppose 24 = -w - w. Let u = w + 35. Does 14 divide u? False Let a(f) = 8*f**2 + 6*f + 6. Let d(k) = -7*k**2 - 5*k - 7. Let u(i) = -6*a(i) - 7*d(i). Let x = 3 + -3. Is 7 a factor of u(x)? False Suppose 7*m - 95 = 24. Is 10 a factor of m? False Suppose 12 = 2*u - 84. Does 16 divide u? True Suppose 0*f - 24 = -f. Does 9 divide (16/f)/((-2)/(-27))? True Suppose 18*t - 13*t = 750. Does 26 divide t? False Let c(v) = 25*v**2 - 1. Is 23 a factor of c(1)? False Let v(o) = -1 + 1 + 7 + 5*o. Is v(9) a multiple of 13? True Is (1 - 182)*(-1)/(2 - 1) a multiple of 26? False Let j = 58 - -96. Is 11 a factor of j? True Let i(j) = j - 6. Let r be i(10). Suppose -r*d - 4*k + 36 = 0, -k = k + 6. Does 6 divide d? True Suppose 6 = -o + 7. Suppose -1 = -4*h - b, -3*b - 15 = -5*h - o. Suppose 2*t - 5*m - 75 = 0, t + h = -4*m + 6. Is t a multiple of 11? False Suppose 4*m = 2*j + 8 + 2, -5*m + 6 = 4*j. Suppose 5*i - 9 = x, m*i - i = -5*x + 33. Is x even? True Let y be (-2 + 40)*(2 + -1). Suppose 2*v + 2 = y. Does 9 divide v? True Suppose 3*w - 2 = w. Let l = 15 + w. Does 6 divide l? False Suppose -5*m = -r - 0*m + 23, 0 = 3*r - 3*m - 57. Let t = 32 - r. Is 9 a factor of t? False Suppose 0 = g + 3*u - 25, g - 2*u - 142 = -4*g. Is 6 a factor of g? False Let p = 41 - -10. Does 13 divide p? False Suppose 0 = 2*o - 5*o + 480. Suppose 8*v = 4*v + o. Suppose -h = 3*h - v. Is 10 a factor of h? True Suppose -5*p - 2*h = -410, 4*p - 2 - 338 = -4*h. Does 23 divide p? False Let v = -57 + 96. Is 4 a factor of v? False Suppose -3*t - 115 = -319. Does 17 divide t? True Let u(m) = -22*m - 1. Does 13 divide u(-3)? True Suppose 5*u = u + 80. Let v = u + 7. Does 15 divide v? False Let t = 19 - -3. Is 8 a factor of t? False Let d = -25 - -59. Is 34 a factor of d? True Suppose 6 = -6*o + 5*o. Let k(g) = -16 - 13 - 8*g + 21. Does 20 divide k(o)? True Let x(j) = -j**3 + 6*j**2 + 2*j - 3. Let n be x(6). Let l = n - -8. Let f = 1 + l. Does 9 divide f? True Let h(s) = -s**2 + 3*s + 2. Is h(2) a multiple of 4? True Let g(r) = 34*r**3 - 5*r**2 - 6*r - 5. Let w(f) = 23*f**3 - 3*f**2 - 4*f - 3. Let z(o) = -5*g(o) + 8*w(o). Is z(1) a multiple of 14? True Suppose -86 = -4*c + 98. Is 8 a factor of c? False Suppose 91 = 5*h - 2*a, 4*h - 77 = -2*a + 5*a. Suppose -4*v + 4*t = -32, v + 3*t + t + h = 0. Does 3 divide v? True Suppose 3*a - 252 = i, 0 = -a - a - 3*i + 168. Is 14 a factor of a? True Let x = 26 - 1. Does 17 divide x? False Suppose 5*d + 5*a - 27 = 23, 0 = -4*d + 4*a + 8. Let z(h) = h + 0*h + 2*h**2 - h**2 - 2. Does 15 divide z(d)? False Suppose m + 61 = 2*j, 97 = 5*j + m - 59. Let z = j + -11. Does 13 divide z? False Let c(f) = -2*f + 1 + 6*f + 0. Suppose -4 - 2 = -q. Is 11 a factor of c(q)? False Let f be (-4 + 1)*(-3)/(-9). Let l = 6 + f. Suppose l*n - 243 = 3*b, -5*n + 2*b = 5*b - 237. Is n a multiple of 25? False Suppose 0 = -2*b - 0*b - 28. Let a = b - -24. Does 5 divide a? True Suppose 3*y - 132 = -0*y. Suppose 0 = -5*c + 1 + y. Is c a multiple of 3? True Let l(z) = 10*z + 4. Let c(u) = -u - 1. Let p(y) = -8*c(y) - l(y). Suppose 4*j - j = -9. Does 4 divide p(j)? False Suppose -2*s + 0*s + 5*o = 10, -3*o = 4*s - 6. Let v(m) = -m**3 + m + 33. Does 8 divide v(s)? False Suppose 99 = 4*w - 45. Is 12 a factor of w? True Let d be 1/(4/(-3240)*-3). Suppose 0 = 7*l - 4*l - d. Does 29 divide l? False Let p(t) = 1. Let b(l) = -6*l + 10. Let c(u) = b(u) - 4*p(u). Let q be 138/(-30) + (-2)/5. Is c(q) a multiple of 18? True Let z be (3/3)/(-1) - -3. Suppose y = z*y - 35. Does 12 divide y? False Suppose 4*m - 55 = -3*n, -72 - 4 = -4*m + 4*n. Does 16 divide m? True Suppose q = -5*p + p - 237, 0 = -2*p - 3*q - 111. Let v = -29 - p. Is 7 a factor of v? False Let h(a) = a + 4. Let i be h(-2). Suppose i*w = -4*d + 148, -w = -5*d + 2*d + 121. Is d a multiple of 13? True Suppose -6*d + 90 = -234. Is 18 a factor of d? True Suppose 6*u - 389 = 139. Does 22 divide u? True Let h(z) = -z**2 + 6*z + 3. Let o be h(6). Let x be (-2 - -1) + o - -2. Suppose 150 = p + x*p. Is 10 a factor of p? True Suppose -g + 92 + 9 = 0. Let h = g - 40. Suppose -11 = -4*i + h. Is i a multiple of 8? False Suppose 0 = -5*c + 2*c + 234. Does 16 divide c? False Suppose 0 = -2*r - 3*l - 36, 24 = -r - 2*r + 3*l. Let y(c) = c**3 + 13*c**2 + 10*c - 6. Does 11 divide y(r)? False Is 7 a factor of 1 - (2 + -4) - -49? False Let q(b) = b**3 + 8*b**2 + 8*b + 9. Let v be q(-7). Let m = -1 - -1. Suppose -v*g - g + 21 = m. Does 7 divide g? True Does 8 divide 21 + (1 - -2)*1? True Let w(k) = k**3 - 7*k**2 - 2*k + 2. Let p be w(6). Let v = -26 - p. Does 10 divide v? True Let s(w) = 2*w + 0*w + 7*w**2 - w - w**2. Suppose -5*v = x - 11, -4*v + 16 = 5*x + 3. Is 5 a factor of s(x)? False Let r(q) = -7*q - 1. Does 3 divide r(-2)? False Let k = -17 + 8. Let j = 7 - k. Does 8 divide j? True Let t(s) = -2*s**3 - 4*s**2 + 6*s + 5. Let i be t(-4). Suppose i = 8*n - 3*n. Is 9 a factor of n? True Let v(z) = 15*z**2 + 2*z - 2. Let k be v(-2). Let t = -101 + k. Let c = 69 + t. Is 11 a factor of c? True Suppose -12 = -12*h + 14*h. Is 128/(-6)*h/4 a multiple of 24? False Suppose 3*c - 6 = -u - 4*u, 18 = 3*u - 3*c. Let p = 26 + u. Suppose 2*q - 5 = p. Is 7 a factor of q? False Let f(q) = q - 2. Let t be f(4). Suppose 4*m - 3*o = -7*o + 128, m = -t*o + 35. Is m a multiple of 17? False Let r(s) = 6*s**2 - 1. Suppose 2*m - 5 = -3*m. Let a = -2 + m. Is r(a) a multiple of 2? False Suppose -2*f = 4*m - 260, -m - 355 = -6*m + 5*f. Does 35 divide m? False Let c(h) = -h**3 + 11*h**2 - 4*h + 5. Let t be c(6). Let g = t - 50. Does 37 divide g? True Let f(c) be the third derivative of c**4/24 + c**3/6 + c**2. Let q be f(3). Let y(o) = 5*o - 1. Is y(q) a multiple of 7? False Let f = -17 - -35. Does 4 divide f? False Let i = -71 - -229. Does 19 divide i/4 + (-18)/12? True Does 14 divide 165/(-6)*12/(-10)? False Let q(j) = -5*j - 5. Let n = -2 + 1. Let s be (4 - n)*(-2 + 1). Is 15 a factor of q(s)? False Let p(x) = x**3 - 12*x**2 + 12*x - 10. Let j be p(11). Suppose a - 14 + 6 = -m, 2*a + 5*m - j = 0. Does 13 divide a? True Suppose 4*l + 53 = -3. Let k be -1 + (1/1 - l). Let d = 13 + k. Does 14 divide d? False Let h(t) = t - 4. Let w(q) = -q + 3. Let g be w(-6). Does 2 divide h(g)? False Let p(b) = b**3 + 8*b**2 - b - 3. Let j be p(-8). Suppose -j*k = -5*s - 10, 3 = -k - 2. Is 15 a factor of (-4)/(-14) + (-285)/s? False Let j(h) = -h + 6. Let g be j(6). Suppose -4*q + q + 99 = g. Does 17 divide q? False Let y be 27/3*(-2)/(-6). Suppose y*o + 15 = 0, r - 6*r + 3*o = -25. Suppose r*x - 40 - 8 = 0. Does 12 divide x? True Let j(m) = m**2 + 4*m + 3. Let c be j
{ "pile_set_name": "DM Mathematics" }
3 Let g = 24 + -21. Suppose i = 5*q - 9, -5*q + 2 = g*i - 11. Let v be (0 - -2)/4*q. Solve -v = -2*r - 7 for r. -3 Let n(l) be the second derivative of l**3/6 - 3*l**2/2 + l. Let c be n(-3). Let i be c/(-33) - 130/(-11). Solve -5*k + k - i = 0 for k. -3 Suppose 5*z - 6*z - 4*r - 8 = 0, 3*z = 4*r + 24. Solve 2*o + 0*o = z for o. 2 Suppose 3*p - 2*p = -7*p. Let z be p + 23 - -3*(-3 - -4). Solve 5*n = z - 1 for n. 5 Let n(z) = z + 7*z**2 - z**3 - 2*z + 5 + 0*z**3 + 3*z. Let a be n(7). Suppose 13 = h - 3*y, -a + 5 = -2*h + 3*y. Solve 2*j + h + 1 = 0 for j. -1 Let q = -66 + 66. Suppose p = -1, -25 = 3*u - 0*p + 4*p. Let v = u - -7. Solve q = 3*l - v*l - 3 for l. 1 Suppose -6*f + 5*f - 5*b + 5 = 0, 0 = f + 4*b - 5. Solve -3*x = -2*x - f for x. 5 Suppose 2*r + 15 = 7*r. Let s be (-1 - (4 - 4)) + r. Solve -2*g = s*g - 16 for g. 4 Let t(n) = 2*n - 18. Let c be t(10). Let k(d) = -2*d - 4. Let l be k(c). Let b(g) = -g**3 - 7*g**2 + 7*g - 4. Let i be b(l). Solve -y - 12 = -i*y for y. 4 Let p = -6 - -6. Suppose 3*x + p*x + 15 = 0. Let v = 5 + x. Solve v*i = -5*i + 15 for i. 3 Suppose -3 = -3*d + 3*g, -8 = -d - d - 4*g. Suppose 0 = -d*b + 2*s - 6, -b + 3*s - 9 = b. Solve o - 3*o + 2 = b for o. 1 Let u be ((21 + -1)/(-4))/(-1). Suppose -s = 5*y - 8 + 3, -y = -u*s - 1. Solve 0 = f - s*f for f. 0 Let w be 125/(-15)*45/(-25). Solve 0 = 9*g - 6*g + w for g. -5 Suppose -4*s + 40 = -36. Let l(j) = j**2 - j + 6. Let f be l(4). Suppose 2*u = f - 8. Solve -u*q - 1 = s for q. -4 Suppose 2*k = 3 - 17. Let d be (-6)/21 - 30/k. Solve -4 - d = -4*c for c. 2 Let x be (-2)/(-9) - (-196)/9. Let c be x/6 - (-4)/12. Suppose -c = -b - 2. Solve 0 = b*y - 3*y + 1 for y. 1 Let b be (18/10)/(10/(500/6)). Solve -b*u = -2*u + 13 for u. -1 Let q(j) = -38*j + 16. Let h be q(0). Solve 0 = -9*r + h*r + 28 for r. -4 Let s be (-15 - -22)*6/14. Solve 10 = 7*u + s*u for u. 1 Let p(o) = -4*o**3 - 2*o**2 + o + 2. Let a be p(2). Let y = a + 39. Suppose -3*v + s + 9 + y = 0, 0 = -4*v - 3*s + 3. Solve u + v = 2*u for u. 3 Let s(r) = 8*r + 36. Let c be s(-4). Solve 0 = 2*q - c*q - 4 for q. -2 Let m(i) = -i**3 + 8*i**2 - 2*i + 19. Let z = 24 + -16. Let c be m(z). Solve 10 + 5 = -c*f for f. -5 Let h be (-76)/(-19)*6/(-8). Let x(o) = 2*o - 2. Let c be x(h). Let m = -4 - c. Solve -2*s = m + 4 for s. -4 Suppose 0 = 2*j - 5*d + 6 + 4, -3*d + 6 = 0. Solve j = 5*l + l for l. 0 Let z be (-16)/(-3)*153/12 + -3. Suppose -r + p = -3, -5*p + z = 7*r - 2*r. Solve 10 = -r*g + 3*g for g. -2 Let r be 1 + (39 - -1) + 4. Suppose 4*a - 8*a + 6 = -2*s, 5*a = -5*s + r. Solve 4*p = -11 - s for p. -4 Let u(c) be the first derivative of -c**3/3 - 2*c**2 - c - 1. Let k be u(-3). Suppose z + 9 = 3*w - 14, -4*z = -5*w + 50. Solve -w*j + k*j = 0 for j. 0 Let j be -15*(5 + 68/(-12)). Suppose -j - 50 = -30*l. Let m be -4*-3*2/8. Solve 0 = -i + l + m for i. 5 Let q be (3/3*3)/1. Suppose 7*h + 110 = 166. Solve i + h = q*i for i. 4 Let b be (2 - 1 - 4) + 5. Solve -2 = b*z + 8 for z. -5 Let u(x) be the first derivative of -2*x**2 - 36*x - 5. Let y be u(-9). Solve y = -z + 2 - 0 for z. 2 Let m(j) = j**2 + j - 2. Let l be m(-2). Let x = 44 - 27. Suppose l = -5*p + y + 19, -5*p + 2*p = 5*y - x. Solve p*w - 3 = 1 for w. 1 Suppose 4*m + 3 - 14 = 5*z, 21 = 5*m + z. Solve -i = m*i + 25 for i. -5 Let l = 277 + -253. Solve 8*t = -0*t - l for t. -3 Let k(f) = f + 8. Let h be k(-5). Suppose 5*q + 2*l = 73, 4*q + 4*l - 11 = 45. Solve 0*s + h*s - q = 0 for s. 5 Let k(v) = -v**3 + 9*v**2 + 2*v - 12. Let f = -5 - -14. Let p be k(f). Let w = p + -6. Solve -4*t - 8 = -w for t. -2 Suppose -r - 2 = 2, 0 = -2*m - 4*r - 4. Let g be m - 4/(-12)*-3. Solve 3*y - g = 1 for y. 2 Let l = -55 + 65. Solve -l = q - 11*q for q. 1 Let d be (-4)/((-2)/11 - 90/(-132)). Let g be 1 - (d + 2 + 2). Solve -3*i = -g + 2 for i. 1 Suppose f = -3 + 6. Let s be ((-4)/f)/((-4)/18). Let m(i) = -i**2 + 8*i - 7. Let b be m(7). Solve 0 = -3*h + s - b for h. 2 Let q(i) = -i. Suppose -4*w = -g + w, 0 = -3*g + 5*w. Let o be q(g). Solve 4*n = -o*n + 16 for n. 4 Let n(k) = -k**3 + 2*k**2 - k - 2. Let a be n(-1). Let w be (((-1)/a)/(-1))/((-26)/(-520)). Solve -w = -q + 6*q for q. -2 Suppose -160 = -523*o + 503*o. Solve 0 = 8*n + o*n + 64 for n. -4 Let q(m) = -23*m + 3. Let i be q(1). Let n be -4 + 7/((-28)/i). Solve -n = f - 2 for f. 1 Suppose 0*r - 1 = 2*x - 3*r, 19 = 4*x + r. Suppose 3*g = 3*y - 162, -2*y - 3*g + 2 = -86. Let b = y + -34. Solve x = 5*d - b for d. 4 Suppose 15*j + 42 = 3*l + 16*j, 0 = -l - 5*j. Solve -4 = -l*m + 17*m for m. -2 Suppose -3*w + 5*w = 8. Suppose -5*m = -20, -m - 6 = -2*n - 3*n. Suppose 5*f = -n*f + 7. Solve d = -w + f for d. -3 Let l(s) = 3*s - 2. Let i be l(3). Suppose i*m - 23 = -3*o + 3*m, 5*o - 47 = 2*m. Suppose 5*y = 2*y + o. Solve y*k + 6 = -0*k for k. -2 Suppose 4 = -2*w, n - 4*w - 30 = -17. Solve -1 + 1 = n*o for o. 0 Suppose 108 = -6*n - 0*n. Let y(a) = -a**3 - 19*a**2 - 17*a + 27. Let i be y(n). Solve 0 = -4*j - i - 11 for j. -5 Suppose 9*t - 12*t + 27 = p, t + 4*p - 20 = 0. Let l be -8*(-5 + 36/t). Solve r + l = -r for r. -2 Let h be (-3482)/(-18) - (-232)/(-522). Solve 0 = -4*j + 189 - h for j. -1 Suppose -5*t + 12 + 3 = 0. Let s be (8/6)/((-25)/(-75)). Suppose -t*n - 2 = -s*n. Solve 0 = -2*x + 4*x - n for x. 1 Let w = -44 + 87. Let k = w + -38. Solve -p = -k*p + 12 for p. 3 Let q(d) = d**3 + 9*d**2 - 11*d - 7. Let j be q(-10). Solve j = -2*v - v for v. -1 Let f be (6/4)/((-3)/(-16)). Let q = -3 - -7. Suppose q*t + 3*k = 19, -7 - 6 = -3*t - k. Solve -3*o - t = f for o. -4 Suppose -3*s + 5*a + 17 = 2, -2*s + 3*a + 10 = 0. Suppose h = s*h. Solve h*y = y for y. 0 Let k(h) = h**3 + 5*h**2 + 3*h - 1. Suppose -6*i + i - 20 = 0. Let d be k(i). Solve t = -d - 2 for t. -5 Let c(u) = 8*u**2 - 3*u - 4. Let v be c(-1). Suppose 10*m - v*m = 0. Solve 4*j + 3 + 1 = m for j. -1 Let c = -43 - -40. Let d = c - -5. Let f(b) = -b + 7. Let x be f(3). Solve -x = -0*j - d*j for j. 2 Let s = 9 - 3. Solve 0 = x - s*x - 15 for x. -3 Let t(p) = -2*p + 23. Let d be t(11). Let j = 2 + d. Solve 5*w - 2*w = -j for w. -1 Suppose -3*k - 4*l - 7 - 31 = 0, -5*l - 49 = 4*k. Let d = k - -16. Solve 4*g + d = -g for g. -2 Suppose -2*m + 5 = 5*i, m + 99 = -3*i + 102. Solve m = 11*t - 33 - 11 for t. 4 Suppose 2*w + 2*o - 22 = 0, -o = 1 - 4. Suppose w = 8*d - 4*d. Solve -d*u = -0*u - 4 for u. 2 Let j be 10/35 - ((-80)/(-35) + -2). Suppose -4*g - 3*r = 3, 2*g - 40 = -3*g + 5*r. Solve -g*d - 7 + 1 = j for d. -2 Let c(t) = 2*t**2 + 9*t - 4. Let i = 32 - 37. Let s be c(i). Solve s = -h + 2*h for h. 1 Let x be (-108)/90*10/(-3). Solve x*l + 1 - 17 = 0 for l. 4 Let d be 90/(-50) + (-5)/25. Suppose 2*g = 3*g - 3, -4*x = 4*g + 4. Let p be (d - 1)*x/6. Solve 4*m = p*m + 10 for m. 5 Let h be (-6)/9 + 4/6. Suppose -2*r - 2*c = -c, h = -4*r + 4*c. Let u be 2 + (r/3)/3. Solve -u*b = -b for b. 0 Let b = 23 + -1. Suppose b = 2*x + 2*x - 2*p, -p = 2*x - 1. Solve 2*j - x*j = 0 for j. 0 Let a(g) = 3*g**2 + g + 5. Let b be a(0). Suppose 0 = -b*p - 4*u + 65, -3*u = -5*p + 10 + 20. Solve -3*i = -0*i - p for i. 3 Let v = 62 - 44. Suppose -3*q + v = 5*p, -2*q + 1 = 2*q - p. Solve 4*h = 3*h - q for h. -1 Let u(f) = 32*f - 42. Let q be u(2). Solve 6*y + q = -8 for y. -5 Suppose -3*u + 5*q + 5 = 0, 0*u = 3*u - 2*q + 7. Let c(l) = -l**3 - 5*l**2 + l + 4. Let j be c(u). Let m be -2 + j*(-20)/4. Solve 3*y = 12 + m for y. 5 Let w = -31 - -24. Let n = w - -11. Suppose 3*s - 6 = 2*d - 23, 3*d - n*s - 24 = 0. Solve 0 = 4*u + 24 - d for u. -5 Let o(c) = -c**3 - 6*c**2 + 7*c + 4. Let w be o(-6). Let s = 66 + w. Let t be (-7)/s + (-18)/(-8). Solve 0 = -t*u - 0*u + 6 for u. 3 Let k = -48 + 49. Solve -3*n + k = -8 for n. 3 Let k(c) = 2*c**2 + 18*c + 26. Let b be k(-8). Solve -b*g + 4 = -8*g for g. 2 Let l = -60 + 135. Suppose -3*u = g - 11, -4*g = -7*g + 5*u + l. Let m = g - 18. Solve -z = m*z for z. 0 Suppose f - 2 = 4. Let p be ((-4)/f)/((-4)/54). Let x be (30/p)/(2/3). Solve 0 = 2*m - x*m - 6 for m. -2 Let y(q) = -3 - 3*q + 7*q + 31*q**2 - 25*q**2. Let j be y(1). Solve 12 = j*w - 3*w for w. 3 Suppose 5*v = -4*t + 124, 0*v + 4*t + 44 = 2*v. Let g be 15*(-2 + v/9). Suppose -2*f - g = -4*h - 3*f, h + 3*f = 8. Solve -3*c - h = -11 for c. 3 Suppose 14*r - 6*r = 72. Solve l + 2*l = r for l. 3 Let j(a) = -5*a + 3. Suppo
{ "pile_set_name": "DM Mathematics" }
. Let l(i) = i**2 + i + 1. What is g(d) + 5*l(d)? -4*d**2 + d - 3 Let f(o) = o**2 - 5*o - 5. Let m(h) = h**2 - 4*h - 4. Suppose 4*c - t = 19 - 3, -2*t = c - 4. What is c*f(u) - 5*m(u)? -u**2 Let p(x) = -13*x**3 - 5*x**2 - 11*x - 2. Let i(z) = -7*z**3 - 3*z**2 - 6*z - 1. What is 11*i(g) - 6*p(g)? g**3 - 3*g**2 + 1 Let t(p) = 3*p - 5. Let y(n) = -2*n + 4. Let x(o) = -o + 3. Let s be x(6). Let a be (s/(-9))/((-1)/(-15)). Determine a*y(z) + 4*t(z). 2*z Let j(z) = 9*z**2 + 4*z + 4. Let x(n) = -8*n**2 - 5*n - 5. What is -5*j(l) - 4*x(l)? -13*l**2 Let n(q) = 5*q + 3. Suppose 5*t = -2*x + 10, 23 = 5*x + 3*t - 2. Suppose 2*y + x*j - 40 = -3*y, -3*j = -15. Let u(k) = 6*k + 4. What is y*n(r) - 2*u(r)? 3*r + 1 Let h(j) = -9*j**3 - 2*j**2 - 6*j - 5. Let a(l) = 9*l**3 + 2*l**2 + 5*l + 4. What is 5*a(t) + 4*h(t)? 9*t**3 + 2*t**2 + t Let z(t) = 64*t**2. Let p(v) = -v**2. What is -144*p(f) - 2*z(f)? 16*f**2 Let a(y) = -10 + 8*y - 20*y - 1. Let z be 14/(-28) + 3/2. Let t(j) = 3 - j + z - 1 - 4. Give -2*a(x) + 22*t(x). 2*x Let d be 2/8*(5 - 9). Let j(i) = 9*i**2 + 3*i - 2. Let o(x) = -8*x**2 - 4*x + 3. Let u(a) = -2*j(a) - 3*o(a). Let q(b) = b**2 + b - 1. Give d*u(c) + 4*q(c). -2*c**2 - 2*c + 1 Let v(w) = -3*w - 1. Suppose -7 = 2*l - 31. Suppose 5*o - 22 = u, o + u = 4*o - l. Let x(c) = -2*c - 1. Calculate o*x(n) - 3*v(n). -n - 2 Let n(y) = y**2 - 5. Suppose t + 2*h = -t - 12, -3*h = -2*t - 7. Let a(m) = 2*m**2 - m - 11. Calculate t*n(s) + 2*a(s). -s**2 - 2*s + 3 Let t(s) = -9*s + 9. Let b(g) be the third derivative of -g**4/3 + 4*g**3/3 + 3*g**2 + 9*g. What is -6*b(a) + 5*t(a)? 3*a - 3 Let a(m) = -m - 1. Let o(k) = 23. Determine -23*a(y) - o(y). 23*y Let y(p) = -6*p + 6. Let x(q) = -17*q + 17. Give -3*x(t) + 8*y(t). 3*t - 3 Let h(g) = -g. Let r(u) = -4*u + 13. Let s(o) = 3*h(o) - r(o). Let v be s(7). Let z(w) = -7*w**2 + 4*w + 6. Let a(q) = -q**2 + q + 1. Calculate v*a(n) + z(n). -n**2 - 2*n Let y(s) = -4*s + 2. Let j(n) = -9*n + 5. Suppose -6 = -3*a, -i - 1 = 2*a - 0. What is i*y(c) + 2*j(c)? 2*c Let t(l) = -2*l + 6. Let v(g) = -g + 3. What is -4*t(j) + 9*v(j)? -j + 3 Let a(c) = -c + 1. Let b(z) = z - 2. Give -a(y) + b(y). 2*y - 3 Let t(n) = 3*n**2 + 1 + n**3 - 5*n**2 + 3*n**2 - 2*n**2. Let p(s) = 2*s**3 - 6*s**2 + 6. Determine -p(f) + 6*t(f). 4*f**3 Let x(a) = 29*a**3 - 5*a**2. Let v(i) = 14*i**3 - 2*i**2. Give -5*v(d) + 2*x(d). -12*d**3 Let n(u) = 2*u**2 + 2. Let s(z) = z**2 - z. Let r = 13 - 8. Let p(y) = y**2 - 5*y + 1. Let x be p(r). Determine x*s(q) - n(q). -q**2 - q - 2 Let k(c) = -2*c**2 - 2*c + 7. Let w be k(-3). Let v(z) = z - 9. Let m(p) = -4. Give w*m(l) + 2*v(l). 2*l + 2 Let r(s) = s**3 + 5*s**2 + 4*s. Let i(p) = 3*p**3 + 15*p**2 + 13*p. Calculate 2*i(c) - 7*r(c). -c**3 - 5*c**2 - 2*c Let o(j) = -j**3 + 4*j**2 + 1. Let p(n) = n**3 - 5*n**2 - 1. Determine -5*o(v) - 4*p(v). v**3 - 1 Let b(d) = -d**3 + d**2 - 2*d + 3. Let s(k) = 6 - k**2 - 2*k**3 - 2 + 14*k - 16*k + 3*k**2. Give 4*b(v) - 3*s(v). 2*v**3 - 2*v**2 - 2*v Let f(q) = -q**2 - 2*q + 1. Let z(x) = 2*x - 1. Let y = 2 + -3. Let k be z(y). Let c be (0 - (1 + 0)) + 2. Let l(n) = -n. Give c*f(o) + k*l(o). -o**2 + o + 1 Let v(o) = -o - 1. Let c(a) = -a - 2. Let u(h) = 4 - 3*h**2 + 8*h + h**2 + h**2. Let j be u(8). Give j*v(d) - 2*c(d). -2*d Let a(b) = 2*b + 5. Let j(i) = -i - 1. Let m = -41 - -43. Calculate m*a(l) + 6*j(l). -2*l + 4 Let t(h) = 2*h - 9. Let d = 46 - 21. Suppose -2*o - d = 3*o. Let i(l) = 3*l - 14. What is o*i(a) + 8*t(a)? a - 2 Let t(r) = -r**3 + 3*r**2 - 3. Let v(m) = -m**2 + 1. Give -2*t(o) - 6*v(o). 2*o**3 Let u(b) = 3*b. Let s(o) = -6*o + 1. Calculate 3*s(w) + 7*u(w). 3*w + 3 Let z = 26 - 31. Let l(a) = 6*a**2 + 5*a. Let d(r) = -7*r**2 - 6*r. Determine z*d(t) - 6*l(t). -t**2 Let f = 10 - 8. Suppose 0 = f*q - 1 - 9. Let s(r) = -3*r + 4*r - q - 3*r + r. Let t(l) = 1. Give s(z) + 6*t(z). -z + 1 Let x(s) = 1. Let m(r) = 3*r - 15. Give -m(y) - 12*x(y). -3*y + 3 Let y(t) be the third derivative of 5*t**4/24 + t**3/2 + t**2. Let o(k) = -9*k - 5. Suppose 0 = 4*a - 3*g - 8, -5*a + 2*g = -2*g - 9. What is a*y(i) + 3*o(i)? -2*i Let l(w) = -9*w**3 - 5*w**2 + 5*w + 2. Let i(k) = -8*k**3 - 4*k**2 + 4*k + 2. Calculate 5*i(q) - 4*l(q). -4*q**3 + 2 Let r(g) = 7*g. Let x(k) = 10*k. Let b be (-2 - -2)/(-4) + 5. Give b*x(f) - 7*r(f). f Let i(k) = k + 3. Let s(l) = l + 5. Suppose 27 = -7*g - 2*g. What is g*s(r) + 5*i(r)? 2*r Let t(u) = -u**2 - u + 1. Let r(y) be the third derivative of -7*y**5/60 - y**4/4 + y**3 + y**2. Calculate -r(l) + 6*t(l). l**2 Let z(m) = 7*m + 4. Suppose 0*y = 2*y - 8. Suppose y*v + 0*v = 0. Suppose 2*a = -5*f - a + 22, v = -f + 5*a + 10. Let o(u) = -6*u - 3. Give f*z(t) + 6*o(t). -t + 2 Let f be (-2)/7 + 40/(-7). Let r(c) = -5*c - 5. Let l be (6 - 5)/((-2)/(-4)). Let p(m) = 7 + 2 - l + 6*m - 1. Calculate f*p(z) - 7*r(z). -z - 1 Let w(d) = d**3 + d**2 - d. Let p(x) = 29*x**3 + 3*x**2 - 5*x + 2. What is -p(a) + 5*w(a)? -24*a**3 + 2*a**2 - 2 Let h(r) = 16*r**2 + 6*r. Let k(t) = -t**2 + t + 7. Let d be k(0). Let i(m) = -11*m**2 - 4*m. Calculate d*i(z) + 5*h(z). 3*z**2 + 2*z Let q be (-12*6/60)/((-2)/10). Let l(f) = 4*f - 3. Suppose -27 = 5*w - 2. Let t(o) = -1 + 5*o - 3 + 0. Determine q*l(d) + w*t(d). -d + 2 Let f(j) = j - 1. Let z(a) = -2*a**2 - 8*a + 7. Give -6*f(i) - z(i). 2*i**2 + 2*i - 1 Let u(i) = 7*i**3 - 13*i**2 - 13*i. Let x(k) = k**3 - 2*k**2 - 2*k. Let q = 13 + -7. Calculate q*u(j) - 39*x(j). 3*j**3 Let s(d) be the second derivative of d + 1/3*d**4 + 5/6*d**3 + 0 + 2*d**2. Let i(q) = -5*q**2 - 6*q - 5. Give 5*i(v) + 6*s(v). -v**2 - 1 Suppose -3*k + 6 = z, -4*z + 17 = 2*k + 3*k. Let f = -4 + 6. Let m(q) = q**f - 2*q + q + 0*q**2. Let u(a) = a**2 - 5*a - 1. Calculate z*m(r) - u(r). 2*r**2 + 2*r + 1 Let b(u) = -5*u**2 - 1. Let w(q) = 3*q - 4*q - 26*q**2 + 10 - 15. Give 11*b(s) - 2*w(s). -3*s**2 + 2*s - 1 Let o(u) = 2*u + 5. Let q be 2 - (-44)/(-6) - (-34)/(-51). Let j(s) = s + 6. Give q*o(n) + 5*j(n). -7*n Let o(t) = -t**3 - t - 1. Let n(p) be the first derivative of -5*p**4/4 - 3*p**2 - 5*p + 18. Give -2*n(g) + 11*o(g). -g**3 + g - 1 Let v(s) = 16 + s + 13 - 16*s - 12. Let z(b) = -7*b + 8. What is -6*v(n) + 13*z(n)? -n + 2 Let d(a) = a**2 + 3*a - 1. Let g(f) = -6*f**2 - 7*f + 3. Let w(h) = 11*h**2 + 14*h - 6. Let u(j) = 5*g(j) + 3*w(j). What is 5*d(t) - 2*u(t)? -t**2 + t + 1 Let q(d) = d**2 - 2*d. Let o(f) = 8*f**2 - 17*f. Determine -6*o(l) + 51*q(l). 3*l**2 Let o(n) = 2*n**2. Suppose 3*a + 4 - 31 = 0. Let m(x) = -x**3 - 6*x**2 - 5*x + 7. Let d be m(-5). Let f(i) = d*i**2 + 0*i + 0*i + i**2. Give a*o(w) - 2*f(w). 2*w**2 Let d(l) = -5*l**2 - 9*l + 4. Let y(i) be the first derivative of -i**3/3 - i**2 + i - 26. Calculate -2*d(v) + 9*y(v). v**2 + 1 Let p(k) = -33*k**2 + 5*k. Let o(s) = 32*s**2 - 6*s. Determine 5*o(w) + 6*p(w). -38*w**2 Let g(n) be the first derivative of -2*n + 0*n**2 + 3 - 4/3*n**3. Let k(z) = -z**2. Let y(b) = b - 5. Let i be y(4). Calculate i*g(d) + 2*k(d). 2*d**2 + 2 Let l(k) = -13*k**2 - 9*k - 5. Let b(c) = 6*c**2 + 4*c + 2. Determine -9*b(f) - 4*l(f). -2*f**2 + 2 Let v(k) = k - 2. Let m(x) = -3*x + 6. What is 6*m(h) + 17*v(h)? -h + 2 Let j(p) = 1. Let k(g) = -2*g**2 - 6*g - 7. Calculate -4*j(o) - k(o). 2*o**2 + 6*o + 3 Let m(i) be the first derivative of -i**4/4 - i**3/3 - i - 3. Let l(z) = 7*z**3 + 2*z**2 + 4. What is -l(p) - 5*m(p)? -2*p**3 + 3*p**2 + 1 Suppose 0 = -3*h + 4*r - 31, 2*r = -2*r - 8. Let l = h - -1. Let m(d) = -14*d - 10. Let o(n) = n + 1. Calculate l*o(x) - m(x). 2*x - 2 Let w(a) = -8*a**3 - 3*a**2 + 3. Let f(l) = -33*l**3 - 11*l**2 + 11. Determine -3*f(u) + 11*w(u). 11*u**3 Let z(w) = -18*w + 10. Let p(g) = -g + 1. Let i(r) = 12*p(r) - z(r). Let x(m) = 13*m + 4. What is 9*i(c) - 4*x(c)? 2*c + 2 Let b(k) be the second derivative of -k**2 + 0 - 1/3*k**3 - 2*k. Let c(d) be the first derivative of -2*d**2 - 4*d - 2. Determine -7*b(w) + 3*c(w). 2*w + 2 Let s(w) = w + 5. Let g(c) = 4. Determine -3*g(i) + 2*s(i). 2*i - 2 Let d(j) be the second derivative of -5*j**4/12 - j**3/2 + j. Let g(q) = 3*q**2 + 2*q. Calculate 4*d(m) + 7*g(m). m**2 + 2*m Let s(n) = 13*n**2. Let t(m) = 66*m**2. Calculate -16*s(a) + 3*t(a). -10*a**2 Let r(p) = 3*p + 6*p + 0*p + 4. Let u(n) = 8*n - 22. Let j(t) = 3*t - 6. Let s(w) = 7*j(w) - 2*u(w). Determine -6*r(
{ "pile_set_name": "DM Mathematics" }
eplacement from {m: 1, x: 5, d: 2, i: 4, z: 2}. Give prob of sequence idmz. 2/3003 Four letters picked without replacement from {k: 2, q: 3, v: 3, m: 7}. What is prob of sequence qkkq? 1/2730 What is prob of sequence ka when two letters picked without replacement from {k: 2, a: 9}? 9/55 What is prob of sequence uuyr when four letters picked without replacement from {r: 2, y: 1, g: 9, u: 7}? 7/7752 What is prob of sequence bfcf when four letters picked without replacement from bbbfeclbfc? 1/315 Calculate prob of sequence gx when two letters picked without replacement from {g: 2, j: 1, x: 1, b: 1}. 1/10 Two letters picked without replacement from rrrrrrvrrrvrvvrrrrrv. What is prob of sequence rr? 21/38 Four letters picked without replacement from {e: 14, z: 1}. Give prob of sequence eeez. 1/15 Three letters picked without replacement from nvdvvndddvdnv. What is prob of sequence vnv? 5/143 Three letters picked without replacement from isvvneiviesnbvsie. Give prob of sequence ivs. 1/85 What is prob of sequence www when three letters picked without replacement from wfuwfwfw? 1/14 Two letters picked without replacement from xujxjoxjxxjxxuoxxo. What is prob of sequence xx? 4/17 Three letters picked without replacement from mtitiimittim. Give prob of sequence tmi. 1/22 What is prob of sequence zf when two letters picked without replacement from {f: 1, z: 2, e: 1, x: 2, s: 2}? 1/28 Three letters picked without replacement from hhjjjjj. Give prob of sequence hjh. 1/21 Calculate prob of sequence ccc when three letters picked without replacement from {s: 1, z: 3, c: 7, d: 6}. 7/136 What is prob of sequence ffpf when four letters picked without replacement from {h: 5, p: 2, f: 9}? 3/130 Two letters picked without replacement from {o: 6, m: 1, t: 4, u: 4}. Give prob of sequence ou. 4/35 What is prob of sequence peee when four letters picked without replacement from efpep? 0 Calculate prob of sequence rr when two letters picked without replacement from {r: 6, e: 6}. 5/22 Four letters picked without replacement from {n: 2, m: 1, e: 6, k: 3}. What is prob of sequence kmnn? 1/1980 Two letters picked without replacement from dnnqnrqntnqqqrdnnd. What is prob of sequence nt? 7/306 Calculate prob of sequence ssm when three letters picked without replacement from mssmms. 3/20 What is prob of sequence rf when two letters picked without replacement from {r: 5, f: 9}? 45/182 Calculate prob of sequence ooo when three letters picked without replacement from {o: 9}. 1 Calculate prob of sequence yqbj when four letters picked without replacement from bjgbqgqgggqy. 1/1980 Calculate prob of sequence yuq when three letters picked without replacement from {y: 4, q: 3, u: 3, t: 5, k: 3}. 1/136 Three letters picked without replacement from nnvvvvn. Give prob of sequence vnn. 4/35 Four letters picked without replacement from {k: 1, a: 1, p: 1, u: 4, y: 3, r: 4}. What is prob of sequence yyur? 4/1001 Three letters picked without replacement from vxxvyiiyyyxixixxyx. What is prob of sequence xii? 7/408 Three letters picked without replacement from acoaaoa. Give prob of sequence oaa. 4/35 What is prob of sequence gu when two letters picked without replacement from {g: 3, b: 1, u: 3, i: 1, r: 1, q: 2}? 9/110 Three letters picked without replacement from ggkgggngugnkgknug. What is prob of sequence nkg? 27/1360 Two letters picked without replacement from kmwaqkkmqkvq. What is prob of sequence wm? 1/66 Calculate prob of sequence kaqq when four letters picked without replacement from {a: 3, v: 4, k: 1, q: 5, o: 1}. 5/2002 Three letters picked without replacement from nnnnffnnfnnff. What is prob of sequence nnn? 28/143 What is prob of sequence ppu when three letters picked without replacement from upoupppupoo? 2/33 Three letters picked without replacement from sdmppddbkpkdpm. Give prob of sequence pds. 2/273 Three letters picked without replacement from {s: 3, j: 1, x: 5, d: 5, e: 1}. Give prob of sequence ded. 2/273 What is prob of sequence cww when three letters picked without replacement from wwwwcwcfccwwwweccewf? 3/38 What is prob of sequence gxng when four letters picked without replacement from {g: 12, n: 3, x: 2}? 33/2380 What is prob of sequence fv when two letters picked without replacement from {u: 5, v: 1, i: 2, f: 1}? 1/72 What is prob of sequence ll when two letters picked without replacement from {e: 1, g: 4, l: 3, q: 5}? 1/26 Four letters picked without replacement from qtrrrrqt. What is prob of sequence qtqr? 1/105 Calculate prob of sequence sck when three letters picked without replacement from kcsk. 1/12 What is prob of sequence kkkf when four letters picked without replacement from {i: 1, f: 3, m: 3, k: 6}? 3/143 What is prob of sequence itb when three letters picked without replacement from {b: 2, q: 1, t: 1, r: 2, d: 1, i: 2}? 1/126 Calculate prob of sequence rhht when four letters picked without replacement from {t: 7, h: 3, r: 4}. 1/143 Two letters picked without replacement from sslsssssvalv. What is prob of sequence sv? 7/66 Three letters picked without replacement from copcooerceo. Give prob of sequence roo. 2/165 Two letters picked without replacement from {s: 4, x: 9, a: 1}. Give prob of sequence as. 2/91 Four letters picked without replacement from {i: 10, c: 9}. Give prob of sequence iicc. 45/646 What is prob of sequence pppp when four letters picked without replacement from pppp? 1 Two letters picked without replacement from {n: 2, d: 9, o: 6}. Give prob of sequence od. 27/136 Three letters picked without replacement from rpzgr. What is prob of sequence rrz? 1/30 Calculate prob of sequence nr when two letters picked without replacement from {n: 2, r: 2, t: 2}. 2/15 What is prob of sequence mw when two letters picked without replacement from ezpmvzw? 1/42 What is prob of sequence uufu when four letters picked without replacement from huguususf? 1/126 Three letters picked without replacement from {n: 2, v: 5, y: 3}. What is prob of sequence yny? 1/60 Four letters picked without replacement from {p: 1, k: 7, h: 2, w: 4, u: 4}. What is prob of sequence wkkk? 7/612 What is prob of sequence ol when two letters picked without replacement from lhohlnoolhooahooooo? 5/57 Calculate prob of sequence abag when four letters picked without replacement from bbgvgagcbbggvga. 2/1365 What is prob of sequence yy when two letters picked without replacement from vyyyyyyyyyyvyyyyyyvy? 68/95 Three letters picked without replacement from {u: 7, h: 2, q: 1}. What is prob of sequence uqh? 7/360 Calculate prob of sequence yy when two letters picked without replacement from yyyyyyyypppyyy. 55/91 Calculate prob of sequence qiuu when four letters picked without replacement from {i: 1, y: 1, u: 2, o: 5, j: 3, q: 3}. 1/5460 Four letters picked without replacement from {y: 2, n: 1, z: 2, m: 9}. What is prob of sequence mnzy? 3/2002 Three letters picked without replacement from ddyd. Give prob of sequence ddd. 1/4 What is prob of sequence wwz when three letters picked without replacement from sswmmwmwsswswssz? 1/168 Calculate prob of sequence uvc when three letters picked without replacement from cvcvccrrvuruccraruvv. 1/76 Three letters picked without replacement from {c: 3, v: 4, r: 1, d: 6}. Give prob of sequence cdd. 15/364 Three letters picked without replacement from uhhxxururu. What is prob of sequence uxr? 1/45 Calculate prob of sequence nns when three letters picked without replacement from nssssssnnnsssssn. 11/168 Three letters picked without replacement from cgikitu. Give prob of sequence iki. 1/105 What is prob of sequence sh when two letters picked without replacement from hpssx? 1/10 Two letters picked without replacement from {w: 5, t: 3, r: 2}. What is prob of sequence rt? 1/15 Two letters picked without replacement from znnudvn. Give prob of sequence uz. 1/42 Three letters picked without replacement from {r: 2, s: 2, c: 5, g: 5, t: 1, i: 1}. What is prob of sequence gss? 1/336 What is prob of sequence yync when four letters picked without replacement from {y: 3, c: 3, n: 1}? 3/140 What is prob of sequence ll when two letters picked without replacement from {i: 1, n: 6, l: 7, z: 3}? 21/136 Four letters picked without replacement from {o: 3, k: 8}. Give prob of sequence okok.
{ "pile_set_name": "DM Mathematics" }
ate the remainder when 1887 is divided by 11. 6 What is the remainder when 144603 is divided by 21? 18 What is the remainder when 141080 is divided by 45? 5 What is the remainder when 38570 is divided by 470? 30 Calculate the remainder when 746118 is divided by 5. 3 What is the remainder when 1217 is divided by 155? 132 What is the remainder when 15164180 is divided by 22? 20 What is the remainder when 1973598 is divided by 978? 972 Calculate the remainder when 34632 is divided by 542. 486 What is the remainder when 28851 is divided by 1697? 2 What is the remainder when 14106 is divided by 52? 14 What is the remainder when 1473 is divided by 1450? 23 What is the remainder when 39130 is divided by 130? 0 What is the remainder when 3084 is divided by 341? 15 What is the remainder when 437419 is divided by 39764? 15 What is the remainder when 13445 is divided by 3359? 9 Calculate the remainder when 75670 is divided by 37825. 20 What is the remainder when 24891 is divided by 66? 9 What is the remainder when 4831 is divided by 1481? 388 Calculate the remainder when 47675 is divided by 20. 15 What is the remainder when 63818 is divided by 42? 20 What is the remainder when 3179 is divided by 1586? 7 What is the remainder when 8233 is divided by 229? 218 What is the remainder when 89820 is divided by 2040? 60 What is the remainder when 13018 is divided by 440? 258 What is the remainder when 15667 is divided by 68? 27 What is the remainder when 54836 is divided by 18274? 14 What is the remainder when 411 is divided by 15? 6 Calculate the remainder when 5707 is divided by 46. 3 What is the remainder when 118841 is divided by 93? 80 Calculate the remainder when 8142 is divided by 896. 78 What is the remainder when 29984 is divided by 9988? 20 Calculate the remainder when 31723 is divided by 6343. 8 Calculate the remainder when 65640 is divided by 5965. 25 Calculate the remainder when 64086 is divided by 145. 141 Calculate the remainder when 98163 is divided by 48. 3 What is the remainder when 171570 is divided by 11435? 45 What is the remainder when 30878 is divided by 448? 414 Calculate the remainder when 241 is divided by 69. 34 What is the remainder when 8303 is divided by 39? 35 Calculate the remainder when 715964 is divided by 288. 284 Calculate the remainder when 24859 is divided by 4138. 31 What is the remainder when 13740 is divided by 1694? 188 Calculate the remainder when 733481 is divided by 102. 101 Calculate the remainder when 2387 is divided by 328. 91 Calculate the remainder when 6356 is divided by 1585. 16 What is the remainder when 124749 is divided by 452? 449 Calculate the remainder when 6585 is divided by 1631. 61 What is the remainder when 9030 is divided by 130? 60 What is the remainder when 999 is divided by 792? 207 What is the remainder when 1116 is divided by 24? 12 What is the remainder when 79628 is divided by 20? 8 Calculate the remainder when 239810 is divided by 215. 85 What is the remainder when 35436 is divided by 17706? 24 What is the remainder when 13736 is divided by 237? 227 Calculate the remainder when 128080 is divided by 64039. 2 What is the remainder when 126077 is divided by 394? 391 What is the remainder when 2117 is divided by 230? 47 What is the remainder when 26832 is divided by 5365? 7 What is the remainder when 2034 is divided by 82? 66 Calculate the remainder when 1117 is divided by 106. 57 What is the remainder when 5393 is divided by 1075? 18 Calculate the remainder when 150171 is divided by 108. 51 Calculate the remainder when 667450 is divided by 166856. 26 What is the remainder when 105912 is divided by 32? 24 What is the remainder when 2077 is divided by 87? 76 What is the remainder when 26341 is divided by 62? 53 Calculate the remainder when 8319 is divided by 8313. 6 Calculate the remainder when 32271 is divided by 44. 19 Calculate the remainder when 14435 is divided by 104. 83 What is the remainder when 15712 is divided by 129? 103 What is the remainder when 121599 is divided by 795? 759 What is the remainder when 960 is divided by 658? 302 What is the remainder when 3873 is divided by 240? 33 Calculate the remainder when 21439 is divided by 1648. 15 Calculate the remainder when 54511 is divided by 45. 16 What is the remainder when 66788 is divided by 251? 22 Calculate the remainder when 60487 is divided by 1142. 1103 Calculate the remainder when 963 is divided by 293. 84 What is the remainder when 67863 is divided by 277? 275 Calculate the remainder when 2147 is divided by 966. 215 What is the remainder when 612128 is divided by 205? 203 What is the remainder when 10548 is divided by 14? 6 What is the remainder when 29105 is divided by 2? 1 What is the remainder when 2582 is divided by 55? 52 What is the remainder when 69611 is divided by 65? 61 What is the remainder when 118304 is divided by 29536? 160 Calculate the remainder when 82693 is divided by 5167. 21 Calculate the remainder when 19174 is divided by 2130. 4 Calculate the remainder when 88877 is divided by 220. 217 Calculate the remainder when 2417 is divided by 131. 59 Calculate the remainder when 3161 is divided by 628. 21 Calculate the remainder when 3774 is divided by 229. 110 Calculate the remainder when 82532 is divided by 41. 40 What is the remainder when 30118 is divided by 3346? 4 What is the remainder when 1253 is divided by 14? 7 What is the remainder when 986748 is divided by 32? 28 Calculate the remainder when 4164 is divided by 44. 28 What is the remainder when 3212 is divided by 1606? 0 What is the remainder when 4344 is divided by 618? 18 What is the remainder when 2114 is divided by 345? 44 What is the remainder when 14075 is divided by 6961? 153 What is the remainder when 1007 is divided by 317? 56 Calculate the remainder when 527220 is divided by 263606. 8 What is the remainder when 2367 is divided by 394? 3 What is the remainder when 44541 is divided by 8830? 391 What is the remainder when 8138 is divided by 407? 405 What is the remainder when 140758 is divided by 211? 21 Calculate the remainder when 1275 is divided by 212. 3 What is the remainder when 6268 is divided by 6239? 29 What is the remainder when 69358 is divided by 48? 46 What is the remainder when 415 is divided by 241? 174 Calculate the remainder when 21050 is divided by 329. 323 What is the remainder when 2290110 is divided by 567? 564 Calculate the remainder when 175945 is divided by 564. 541 Calculate the remainder when 740 is divided by 305. 130 Calculate the remainder when 1384 is divided by 84. 40 What is the remainder when 41684 is divided by 492? 356 What is the remainder when 22708 is divided by 873? 10 What is the remainder when 1021150 is divided by 44? 42 What is the remainder when 43628 is divided by 1322? 2 What is the remainder when 14076 is divided by 542? 526 Calculate the remainder when 2362 is divided by 469. 17 Calculate the remainder when 6181 is divided by 52. 45 What is the remainder when 5602 is divided by 100? 2 Calculate the remainder when 1692 is divided by 502. 186 Calculate the remainder when 1832 is divided by 441. 68 What is the remainder when 30868 is divided by 23? 2 Calculate the remainder when 1358 is divided by 332. 30 Calculate the remainder when 31841 is divided by 54. 35 What is the remainder when 756 is divided by 211? 123 Calculate the remainder when 256279 is divided by 567. 562 Calculate the remainder when 302209 is divided by 394. 11 What is the remainder when 691 is divided by 231? 229 What is the remainder when 142 is divided by 66? 10 What is the remainder when 2203 is divided by 98? 47 What is the remainder when 5832 is divided by 37? 23 What is the remainder when 11428 is divided by 229? 207 Calculate the remainder when 4311 is divided by 201. 90 Calculate the remainder when 2895 is divided by 742. 669 Calculate the remainder when 1078 is divided by 445. 188 Calculate the remainder when 1567 is divided by 1413. 154 What is the remainder when 11715 is divided by 221? 2 Calculate the remainder when 72501 is divided by 159. 156 What is the remainder when 13322 is divided by 111? 2 Calculate the remainder when 19148 is divided by 23. 12 Calculate the remainder when 233274 is divided by 16661. 20 Calculate t
{ "pile_set_name": "DM Mathematics" }
(-25))/((c/(c/(c/c**(2/5))))**(-23)/((c/c**(2/19))/(c/(c**(-2/11)*c)))) assuming c is positive. c**(1857799/307230) Simplify (z**1/z*z)**(3/2)*(z*z/((z/(z**0/z))/z)*z)**(-19)*((z**(1/2))**22)**(-29) assuming z is positive. z**(-711/2) Simplify (r*r*r**(-2/3)*r**(-21/2)*r*(r/r**(2/5))/r*r*r**(-10)*r)**(-3/38) assuming r is positive. r**(497/380) Simplify (q**(-11/4)*q**(-6)*q**(-3/16)*q**30)**(-44) assuming q is positive. q**(-3707/4) Simplify (((i*i**(1/5))**27/(i/((i*i/(i*i**6))/i)*i**(-9)))**(1/10))**(-26) assuming i is positive. i**(-2236/25) Simplify (h**(-13/5)/h)/(h/(h/h**(-6/11)))*h**(-15)/(((h/(h/h**(23/2)*h*h))/h)/h) assuming h is positive. h**(-2811/110) Simplify (u/(u/u**(-2))*u**4)**(-4)*((u*u/u**(-2/5)*u)**(-7/5))**(-7) assuming u is positive. u**(633/25) Simplify (u/(u*u*u**(1/4)*u)*(u*u**(2/17))/u*(u**(-2))**35)/((u**0)**(-19))**(2/39) assuming u is positive. u**(-4905/68) Simplify ((t/(t**(-6/13)/t))/t**(-5)*((t**(-1/9)/t)/t)**(10/13))**43 assuming t is positive. t**(29369/117) Simplify (t*t*t**(12/17))/(t*t/t**(2/31)*t)*t**(2/7)/(t/(t*t**(-24))) assuming t is positive. t**(-88329/3689) Simplify q**9*q**(1/6)*q*(q*q**2*q)**16*(q*q*q*q**1*q)/q*q**(-2)/q*(q**0)**(-3/23) assuming q is positive. q**(451/6) Simplify ((b*b/(b*b**(-2/7)))/b*b/b**(1/4))/(b*b**(-1))**(-32)*(b**(-1/7)*(b**1*b*b)/b)**44 assuming b is positive. b**(331/4) Simplify ((m**(-4)*m)/((m/m**(-2/5))/m))**2/(((m**3/m)/(m/(m/m**4)))/(((m**4/m)/m*m)/m**(-4))) assuming m is positive. m**(11/5) Simplify ((((k**3*k)/k)/k)**(1/19)*k**(-1/7)*k**(-2/5))**29 assuming k is positive. k**(-8439/665) Simplify ((r/r**(-1/4))/r**3)**(-2/47)*(r**(4/7)/(r**(-2/23)/r))/(r**1)**(-10/17) assuming r is positive. r**(597165/257278) Simplify ((((o**(-4/3)*o)/o)/(o/(o/(o/o**(-1/4))))*(o**(-2))**(-25))**(2/55))**7 assuming o is positive. o**(3983/330) Simplify (c/((c*c**1)/c))**29*c**7*c**(1/9)*c*c*c**(1/3)*c/(c/((c**(-3)*c)/c))*(c**0/c)**(-2/103) assuming c is positive. c**(5992/927) Simplify (g*(g/g**(1/2))/g*(g/g**(3/4))/g)**(-5/4)/((g/(g/(((g**0/g)/g)/g)*g))**13*g**(2/23)/(g**(2/9)*g)) assuming g is positive. g**(177019/3312) Simplify (c**0)**(-43)*(c**(1/2))**(-3/26)*c**6/(c/(c*c**5))*(((c*c*c**(4/5)*c)/c)/c)/c**(-6) assuming c is positive. c**(4873/260) Simplify ((b*b**(-1)*b*b)**(1/36))**(21/5)*(b*b/((b/(b**(-2/7)*b))/b*b))**(-34)/(b**(1/2)/b)**(-36) assuming b is positive. b**(-15971/210) Simplify ((((a*a*a*a**(-4/7)*a)/(a*a**(-5)))**(1/9))**(1/56))**(1/14) assuming a is positive. a**(13/12348) Simplify ((n/n**1*(n*n*n*n**(-6/7)*n*n)/n*n*n**(2/21)/n**(-2/9))**38)**28 assuming n is positive. n**(42712/9) Simplify (y**(-2)/(y/(y**(-1/3)*y)))/(y**(-1/3)*y**3)*((y**(-1))**5)**(-35) assuming y is positive. y**170 Simplify ((h/h**0)/(h*h*h**(-6)*h)*(h**(1/2)*h)/((h*h/h**(-3))/h))/((h**1)**(-3/16))**(9/4) assuming h is positive. h**(123/64) Simplify (p**(-3/8)/((((p*p**(-3)*p)/p)/p)/p))**(2/9)*((p/(p*p**5/p*p)*p)/(p*p/(p/(p/(p*p**(-1))))*p))**(-3/17) assuming p is positive. p**(1249/612) Simplify ((l**17*l/(((l/(l**(-19/3)/l))/l)/l))/((l*l/(l*l*l*(l/(l/l**(-1/3)))/l*l))/l**23))**(-27) assuming l is positive. l**(-954) Simplify (z**0)**(-30)*(z**(1/40)*z*z)**(3/17) assuming z is positive. z**(243/680) Simplify n**(-5/3)*n*n*n/((n/(n/(n/n**(1/4))))/n)*((n**(2/5)/n)/n)/(n/(n*n**(-1/2)))*(n/(n/n**(1/15))*n**(-7)*n)**(-42) assuming n is positive. n**(14921/60) Simplify (d**(-3/5)/(d/d**3))**(-12/5)*d*d**2*d*d/(d/((d/(d**(-5/4)/d*d)*d)/d))*(d/(d**(1/2)/d))**(1/4) assuming d is positive. d**(653/200) Simplify (((z/((((z/(z/(z/(z/z**(1/5)*z))*z*z))/z)/z)/z)*z)/z**(-1/9)*(((z/z**8*z)/z)/z)/(z*z**(2/21)))**49)**(-4) assuming z is positive. z**(10444/45) Simplify ((((a*(a/(a*(a/((a*a*(a*(a/a**(-1/4))/a*a)/a)/a))/a*a))/a)/a**(-5))/((a/(a/a**(-3)*a*a*a)*a)/(a/a**(-5))))**(15/8))**(-21) assuming a is positive. a**(-21735/32) Simplify (q*q**(-28)*q**3)/(((q*q**47)/q)/q*q/(q/(q*(q/(q*q**25*q))/q))) assuming q is positive. q**(-44) Simplify ((((r*r/(r/r**(-19)))**30)**(-3/5))**49)**21 assuming r is positive. r**333396 Simplify ((((q/(q/(q*q/((q/(q*q**(-10)))/q))))/q)/q*q)**9*(q/(q**(-2)/q)*q)**6)**21 assuming q is positive. q**(-882) Simplify (p**(-5)/p**(-1/8))**(-9/4)*(p**1*p*p)**(-17)/(p*p**(-1)*p*p)**7 assuming p is positive. p**(-1729/32) Simplify (((i**(5/4)*i)/((i*i*i*i*i**4)/i))/((i**(2/5)*i)/(i**(-4/5)*i)))**(-10/9) assuming i is positive. i**(119/18) Simplify (((v*v**6/v)/v)/(v/v**4))/(v**1/(v*(v/((v/(v**(1/2)/v))/v))/v))*((v*v**(-5))/(v/v**(-2/3)))/(v**(2/7)/v*v**(-2)) assuming v is positive. v**(191/42) Simplify (((w*(w**(-2/43)*w*w)/w)/w)/(w*w/(w*w**(-40)/w)))/((w/(w**(18/5)/w))/(w*w*w*w**(4/15)*w*w*w*w*w)) assuming w is positive. w**(-20111/645) Simplify ((x*((x**2*x)/x)/x*x**(1/4)/x*x)/((x**(-2)*x)/x)**12)/(((x**8/x)/x*x**(1/10))/(x**6*x**(-2/13))) assuming x is positive. x**(6759/260) Simplify (v**4/v**(7/3))**21*((v*(v**(-2/7)*v)/v)**36)**(2/69) assuming v is positive. v**(5755/161) Simplify a**(3/2)/(a**(-2/13)*a*a)*(a*a**(3/4))/(a/(a**(-6)*a))*((a**(-1/2)/a*a)/(a*a**0/a))**(-38) assuming a is positive. a**(749/52) Simplify ((b*b/b**(2/11)*b)**11)**(-1/8)*(b**(1/7)/b)/(b/b**(1/5))*b*(b*b/b**(2/25))/b*b*b*b/(b/(b*b/b**(-8)*b)) assuming b is positive. b**(13143/1400) Simplify ((o/(o**(2/7)/o))**(-4/17)*(o/o**0*o)**(-13/4))/(o**(-2/5)/o*o*o**(2/7)*(o**0/o)**(7/13)) assuming o is positive. o**(-96697/15470) Simplify ((j*j*j**3*j**(1/6))/(j**(-2/3))**(-20/9))/(((j*(j**(-1)*j)/j)/(j*(j**(-6)*j)/j))/(j/j**1*j)**(6/25)) assuming j is positive. j**(-1451/1350) Simplify (l*l/(l*l**(-3/7))*l/(l**(3/7)/l))/(l*l**1*l)**30*((l/l**(-2/5))/l)**25/(l**(-4/3)*l**3/l) assuming l is positive. l**(-233/3) Simplify (r*r*r**(-18/5)*r*r/(r/r**(2/11))*r)/(r/(r**(-1/16)*r))**(-2/33) assuming r is positive. r**(773/1320) Simplify ((j/((j**2*j)/j))/j*j**7)/(j**(-2/5))**(-3/40)*((j/(j*j**8))/j**(-3/5))**4 assuming j is positive. j**(-2463/100) Simplify ((w**15/w*w)/w**12*(w**(-6)*w)**(-2/43))**8 assuming w is positive. w**(1112/43) Simplify ((z**(3/5))**12*(z*z**(-2/19)/z)**(2/35))**(-4/13) assuming z is positive. z**(-1472/665) Simplify ((z/(z*z/z**8))/z**(-2/27)*z*z/((z*z**(3/14)*z)/z)*z*z**(1/10))**(2/21) assuming z is positive. z**(16934/19845) Simplify ((z/(z**(3/5)/z))/z*z**(4/9)*(z*z**23)/(z**(-17/2)/z*z))**(4/11) assuming z is positive. z**(6002/495) Simplify (((p*p**(-3))/p)**(2/5))**49/((p**0)**(-1/15)/(p/p**(-1/2))**(28/5)) assuming p is positive. p**(-252/5) Simplify (((n*n**(-4/7)*n*n*n**(-2/21))/(n/(n*n**(-2/9)*n*n))**38)**(-22/7))**(3/25) assuming n is positive. n**(-13838/525) Simplify ((v*v/(v/(v**(1/6)*v))*v)/((v**1*v)/v))/(v**0/v)**(-23/4)*((v*(v**(3/5)*v)/v)/(v/(v/v**(-5))))**28 assuming v is positive. v**(10873/60) Simplify ((j*j**(-1/35)/j)/((j**(-5/11)*j)/j))/(j*j*(j*j**(-33)*j*j)/j*j**(-16)) assuming j is positive. j**(17489/385) Simplify t*((t**(-4)*t*t)/t)/t*t*(t/(((t/(t*t**(2/5)/t*t))/t)/t))/t*(t/(t*t**1))**19*((t**(-1/14)/t)/(t*t/(t**5/t)*t))**(-34) assuming t is positive. t**(-566/35) Simplify (n/(n*n**0*n))**(-21/5)/(n**3/n**(-1/3))*n**6/(n*(n/((n**(-1)/n)/n*n))/n)*n**(-3/4)*n**(1/5)*n assuming n is positive. n**(259/60) Simplify ((r**(-1))**(-6/23))**(1/20)*(r*((r*r*r**(-1))/r*r)/r)/r**(-5)*(r*r*r**(2/5)*r*r)/(r*r**7) assuming r is positive. r**(111/46) Simplify ((z/(z**(3/8)*z)*z)/(z*z**9/z*z)*(z*z/((z*z**12)/z))**(-3/10))**(-14) assuming z is positive. z**(357/4) Simplify ((p**(4/9)*p**(11/8))/((p*p/(p/(p**48*p)))/p**(-44)))**(-43) assuming p is positive. p**(285391/72) Simplify ((w**2*w*w**18)**(-15))**(-13/2) assuming w is positive. w**(4095/2) Simplify (((b/b**(-2/9))/b*b)/((b*b**3/b)/b)*(b/(b/(((b/b**1*b)/b)/b)))/b**3)/(b/((b**(-2/3)*b)/b)*(b/b**(-7))/b*b)**(1/11) assuming b is positive. b**(-560/99) Simplify y*(y/y**(3/10))/y*y*((y**(-6/11)*y)/y)/y*(y*y**(-40)/y)/y**(-4) assuming y is positive. y**(-3943/110) Simplify ((v*v**(-1/2)*v)**(3/34)/(((((v*v**(-14)*v)/v)/v*v)/v)/(v*v**(-10)*v)))**(-1/19) assuming v is positive. v**(-417/1292) Simplify (i*i**0)**(2/17)*i*i/(i/(i**(-2/3)/i))*i*i*i**(-1)*i*(i**(-8)*i*i**(-1/2))/(((i**(-3)*i)/i)/(i**(2/17)*i)) assuming i is positive. i**(-197/102) Simplify ((b/(b/b**(-2/17)))/b*b*b**(2/19))**(6/17)*(b**(2/5))**(-20)*(b*b/b**(1/5)*b)/b
{ "pile_set_name": "DM Mathematics" }
- 3*y**2 - 2572851*y wrt y? -25198480*y**3 - 6 What is the third derivative of -1076*a**3*b + 3325*a**3*d + 2*a**2*b*d + 182326*b wrt a? -6456*b + 19950*d Differentiate -46204503*z**2 - 234200837 with respect to z. -92409006*z Find the third derivative of 516644*g**5 - g**3*m - 3*g**3*y - g**2*m - 33*g*m*y - 90*g*m - 2*g*y + 2*m - 3*y wrt g. 30998640*g**2 - 6*m - 18*y What is the third derivative of 96646561*u**3 - 133325407*u**2 wrt u? 579879366 What is the third derivative of 6*d**6 + 972561*d**5 + d**3 - 16*d**2 - 2000701? 720*d**3 + 58353660*d**2 + 6 What is the derivative of 5150526*f*x + 1101807*f + x + 8 wrt x? 5150526*f + 1 Find the second derivative of 71217*o**3 + 19*o**2 + 329636*o - 13 wrt o. 427302*o + 38 Find the second derivative of 941693181*w**3 - 912873228*w. 5650159086*w Find the third derivative of 1917*a**5 + 29082*a**4 - 661566345*a**2. 115020*a**2 + 697968*a Find the first derivative of 1946174*v**3 - 7940646 wrt v. 5838522*v**2 What is the second derivative of -573*j**4 - 444*j**2 + j + 2818348? -6876*j**2 - 888 Find the third derivative of 2925692*q*s**3*z**3 - q*s**3*z - 49853765*q*s*z**2 + s**3*z**3 wrt z. 17554152*q*s**3 + 6*s**3 Find the first derivative of 20592422*w - 35653975. 20592422 Find the first derivative of 14586091*h + 242426455. 14586091 Find the third derivative of -133112*u**2*x**3 - 39*u**2*x + 76*u**2 + 3*u*x**3 + 4*u*x + 4*x**3 - x**2 wrt x. -798672*u**2 + 18*u + 24 What is the second derivative of 2*a*i**2*u - a*i**2 + 20*a*i*u + a*i + 232631*i**2 + 3*i*u - i + u - 302 wrt i? 4*a*u - 2*a + 465262 Find the second derivative of -2*i**3*l*t**2 - 88*i**3 - 68*i**2*l**2*t - 44258623*l**2*t**2 + 181*l**2 wrt t. -4*i**3*l - 88517246*l**2 Find the second derivative of -19613437*j**2*w - 9*j**2 + 336275142*j*w wrt j. -39226874*w - 18 Differentiate 66*o**2*z**3 + 80368*o*z**3 - 2*o + z**3 + 112591155*z**2 wrt o. 132*o*z**3 + 80368*z**3 - 2 Find the third derivative of 18708387*v**3 - 24031015*v**2 wrt v. 112250322 What is the second derivative of 301494329*q**2 - 253501513*q wrt q? 602988658 Find the third derivative of -145449244*p**4 - 2*p**3 - 2*p**2 - 4382391. -3490781856*p - 12 What is the second derivative of -l**4 + 8707*l**3 + 21*l**2 - 2624129*l? -12*l**2 + 52242*l + 42 Differentiate 13*c*o + 2676924*c - 2505*o + 43126 with respect to c. 13*o + 2676924 What is the second derivative of -2*j**4*q - j**3*q - 50163*j**3 - 2*j*q - 5030355*j wrt j? -24*j**2*q - 6*j*q - 300978*j Find the second derivative of 288652*b**5 - 7*b**2 - 166*b + 440 wrt b. 5773040*b**3 - 14 What is the second derivative of -9957703*t**3 - 2439647*t wrt t? -59746218*t What is the third derivative of 34*a**6*q**2 + 12100*a**3*q**2 - 2*a**2*q**2 - 2*a**2*q + a**2 + 10*a*q**2 + 94*q wrt a? 4080*a**3*q**2 + 72600*q**2 Find the second derivative of 402519630*d**2 - 36*d + 3293151. 805039260 Find the first derivative of -364348570*y - 710152428 wrt y. -364348570 What is the second derivative of 103409526*i**5 - 2*i**3 - 854082987*i? 2068190520*i**3 - 12*i Find the second derivative of 240*g**5 - 19312*g**2 - 12831341*g + 3. 4800*g**3 - 38624 Find the second derivative of c**4 - c**3 - 250506*c**2 + 110261048*c. 12*c**2 - 6*c - 501012 What is the third derivative of -1158110766*l*o**3 + 631646*l*o**2 - l*o + 30*o**2 wrt o? -6948664596*l What is the second derivative of -48*u**4 + 595*u**3 - 55*u**2 - 106940*u wrt u? -576*u**2 + 3570*u - 110 Find the second derivative of -9928709*n**2 + 1533*n - 401 wrt n. -19857418 Differentiate 198813882*h**2 + 304329563. 397627764*h Differentiate a**2*y + 1913862*a**2 + a*y - 15379*y with respect to y. a**2 + a - 15379 What is the first derivative of 9456522*l**2 - 10275592? 18913044*l Find the third derivative of -409787307*g**4 - 23279514*g**2 wrt g. -9834895368*g What is the third derivative of -64*c**4*w - 2*c**4 - 11*c**3*w - 40*c**3 - 26*c**2*w - 10*c**2 + 65713 wrt c? -1536*c*w - 48*c - 66*w - 240 What is the derivative of -13323464*d**2 + 8314718? -26646928*d What is the first derivative of 173*b*i*r + 623724*b*r**2 + 11*b*r + 889*i*r**2 - 8*i*r wrt i? 173*b*r + 889*r**2 - 8*r Differentiate -23255999*n - 38885309 with respect to n. -23255999 What is the derivative of 118713453*w**2 + 732621526? 237426906*w Find the third derivative of -140*y**5 + 25*y**4 - 26*y**3 + 12*y**2 + 1196*y - 17 wrt y. -8400*y**2 + 600*y - 156 Find the second derivative of -416926525*q**2*u**2 + 465*q**2*u - 59*q**2 + 79*q - 6*u - 3 wrt u. -833853050*q**2 What is the third derivative of r**6 + 134589467*r**4 - 139490*r**2 + 28? 120*r**3 + 3230147208*r Differentiate -5*k**4 - 11552*k**3 + k**2 + 14994322 with respect to k. -20*k**3 - 34656*k**2 + 2*k Find the third derivative of 2*a**3*p*q*x**3 + 1731*a**3*q**3 - 2*a**3*q**2*x**2 - 69*a**2*p*q**2 - 18*a**2*q**2*x - 15*a**2*q + 6*a**2 + 596*p*q**3*x**3 wrt q. 10386*a**3 + 3576*p*x**3 What is the second derivative of 78730465*n**3 - 5022651*n wrt n? 472382790*n What is the third derivative of 696210*r**3*s**3 - 17*r**3*s + 3*r**2*s**3 + 2*r**2*s - r*s**3 + r*s - 2841*s**2 wrt r? 4177260*s**3 - 102*s Find the third derivative of -116*a**3*g**2 - 272724*a**3*g*x**3 - 310021*a**2*x**3 + 2*a*g**2*x**3 - 2*a*g**2*x - 3*a*g**2 wrt a. -696*g**2 - 1636344*g*x**3 What is the third derivative of -140939913*c**3 + 743318*c**2 + 9*c? -845639478 Find the first derivative of 2724932*a*r**2 - 2*a - 116*r**2 - 2*r + 13266 wrt a. 2724932*r**2 - 2 Find the second derivative of -266106494*s**3 + 5889*s + 17550. -1596638964*s Find the first derivative of 16201681*w**3 + 3960841. 48605043*w**2 Find the third derivative of 14977*h**2*i**3 - 22*h**2*i + 46942*h**2 - 2*h*i**3 - 191*i**3 + 2*i**2 wrt i. 89862*h**2 - 12*h - 1146 Find the first derivative of -2*d**3 - 11165*d**2*u + 8*d*u - 14531739*u wrt d. -6*d**2 - 22330*d*u + 8*u Differentiate -29*g*i*n + 15*g*i + 324*g*n - 4*g + 26*i*n + 9827*i with respect to g. -29*i*n + 15*i + 324*n - 4 What is the second derivative of 39945842*t**2 - 21027*t + 355? 79891684 Differentiate -21362472*b**4 + 3*b + 1047438221. -85449888*b**3 + 3 Find the second derivative of -497935*u**2*z**2 - 2*u**2*z - 2*u**2 + 4*u*z**3 - 9*u*z + 210*u - 300*z + 3 wrt z. -995870*u**2 + 24*u*z Find the third derivative of -9529*g**3*u**3 + 164*g**3*u**2 - 7535*g**2*u**3 - 1944*g**2*u**2 - 21*g*u**2 wrt u. -57174*g**3 - 45210*g**2 What is the third derivative of 287155487*j**4 - j**2 + j + 12794270? 6891731688*j What is the first derivative of 17848*l**2 + 1470*l - 52009085 wrt l? 35696*l + 1470 Differentiate -690141*a + 41054940 wrt a. -690141 Find the second derivative of -3*i**3 + 100020*i**2 + 21366878*i wrt i. -18*i + 200040 Find the first derivative of -14390239*a**3*h + 21886736*a**3*l + 8*a**3 + 2*a*h**2 - 2*h*l wrt h. -14390239*a**3 + 4*a*h - 2*l Differentiate 18022130*a - 15512701. 18022130 Differentiate -112959540*f**2 - 130833249. -225919080*f Differentiate 308208490*h + 169816241 wrt h. 308208490 What is the first derivative of 7*r**2 - 19171774*r + 630496601? 14*r - 19171774 Find the third derivative of j**3*p**3 - 2*j**3*p - 39045558*j**2*p**3 - 6*p**3 - 41911228*p**2 wrt p. 6*j**3 - 234273348*j**2 - 36 What is the second derivative of 382025314*p**5 + p + 5042040 wrt p? 7640506280*p**3 Find the third derivative of -11858089*g**4 + 20*g**3 + 6*g**2 + 4*g - 2468 wrt g. -284594136*g + 120 What is the second derivative of g**4 - 30708711*g**3 - 927495*g + 7 wrt g? 12*g**2 - 184252266*g What is the third derivative of 250236160*s*z**3 + s*z**2 - 1358*s*z - 63*s - 3*z**2 - 3 wrt z? 1501416960*s Find the third derivative of -23209582*a**3*h**3 + 1577*a**2*h**3 - 4*a**2*h**2 + 13*a**2 + a*h**2 - 2 wrt a. -139257492*h**3 Differentiate 88230033*f + 325705105 wrt f. 88230033 What is the second derivative of 706*n**2*p**2*y**2 - 4325*n**2*p**2 - 3*n**2*p + 10*n*p*y**2 - 2*n*p*y + 8*n*y**2 - 2*p*y + 2*y**2 wrt p? 1412*n**2*y**2 - 8650*n**2 What is the third derivative of 91*l**5 - 11*l**4 - 1230*l**3 + 5*l**2 - 61303 wrt l? 5460*l**2 - 264*l - 7380 Differentiate -937490*l**2 - 9*l + 31908733 wrt l. -1874980*l - 9 Differentiate 564512305*p - 565105459 with respect to p. 564512305 Differentiate 654237371*h - 300696666 wrt h. 654237371 Find the first derivative of 118*n*
{ "pile_set_name": "DM Mathematics" }
8 Let k(g) = 7*g**2 + 14*g - 1440. Let b be k(30). What is the highest common factor of 110 and b? 110 Suppose -30 = -144*b + 149*b. Let i be b*18/15 + 2/10. Let w be 770/20*(16/i)/(-4). Calculate the highest common divisor of 198 and w. 22 Suppose -2*n = b + 4516, 7*b - 6*b + 9036 = -4*n. Let w = 36 - 86. Let x be 2/(-10) + n/w. Calculate the highest common divisor of 9 and x. 9 Let x be 180/27*6/10. Suppose -3*b = 3, b = -x*l + 6*b + 517. What is the highest common factor of 112 and l? 16 Let w = 123 - -80. Let z = -1665 + 1723. Calculate the highest common divisor of w and z. 29 Let w = 704 - -6506. What is the highest common factor of w and 14? 14 Let n be (4 + 6408/20)/(2/10). Let z = -962 + n. What is the highest common divisor of 60 and z? 60 Let v(p) = 9*p - 22 - 3*p - 9*p. Let s be v(-20). Let a = 86 - s. Calculate the greatest common divisor of 32 and a. 16 Let b = 10281 + -9412. Calculate the highest common divisor of b and 209. 11 Suppose 185 = 28*s - 25*s + 4*v, -2*s = 3*v - 125. Suppose -p = 4*p - 385. Calculate the highest common factor of s and p. 11 Let w be ((-30048)/(-320))/(6/180). Calculate the greatest common factor of w and 63. 9 Suppose -6*h = -7 + 133. Let d be 5*(-4)/12*h. Let z(p) = -3*p**3 + 4*p**2 + 6*p + 7. Let n be z(-2). What is the highest common factor of d and n? 35 Let l = -494 + 702. Suppose 0 = -16*b - 2*b + 11106. Suppose -695 = -3*q - b. Calculate the greatest common factor of l and q. 26 Let p = 6250 - 6201. Let t = -4 - -18. Calculate the highest common factor of t and p. 7 Suppose -6*n + 73 = -59. Let d(g) = g**2 - 21*g + 41. Let j be d(n). Calculate the highest common factor of j and 21. 21 Suppose -11*r + 0*r + 77 = 0. Suppose 0 = 19*v - 1665 + 1589. Calculate the highest common divisor of v and r. 1 Let o be -3 + ((-15672)/(-5) - 30/(-50)). Calculate the greatest common factor of o and 464. 116 Suppose 5*c - 2*n = 105, -10*n = 2*c - 15*n - 42. Suppose -c*w + 240 = -6*w. Calculate the highest common factor of 128 and w. 16 Suppose -237*j + 69971 - 7403 = 0. What is the highest common divisor of 40 and j? 8 Let n(z) = -z**3 - 8*z**2 + 21*z + 24. Let a be n(-10). Let d be 54/((8 + -1)*4/a). Calculate the greatest common divisor of 45 and d. 9 Suppose -2*s + 665 = 3*s. Let t be 17/(-17)*(-1 - -1). Suppose t = 26*i - 580 + 86. Calculate the highest common factor of i and s. 19 Let h(y) = -22*y**2 - 3*y + 4. Let n be h(-2). Let c be (n/(-9))/(286/(-48) - -6). What is the highest common divisor of c and 32? 16 Suppose 3*j - 5450 + 395 = -2*n, -n + 2*j + 2552 = 0. What is the highest common divisor of 658 and n? 94 Suppose -1100 = -5*j + 4*i, -3*j - 6*i = -3*i - 633. Suppose 14*x - j = 6*x. Let r be (x/(-15))/((-3)/15). What is the highest common divisor of 2 and r? 1 Let i(c) = -135*c**3 - c - 1. Let z be i(-1). Let b(g) = g**3 - 13*g**2 + 35*g + 24. Let v be b(9). Calculate the greatest common factor of v and z. 15 Let g(w) = 3*w**2 + 255*w + 52. Let l be g(-85). Calculate the highest common divisor of 1443 and l. 13 Suppose 2*r - 46 = -2*z + 36, -4*r = -4*z + 196. Let d(x) = 80*x + 6785. Let g be d(-82). Calculate the greatest common factor of g and z. 45 Suppose 5*g - 4*z - 4356 = 0, -4*g - 136*z + 3488 = -140*z. Calculate the highest common factor of g and 28. 28 Suppose 23*w + 18750 - 6905 = 0. Let h = 535 + w. Calculate the highest common divisor of 70 and h. 10 Suppose -560 = 14*q - 1540. Let p be 7/((-2)/(-12)*1). Calculate the highest common divisor of q and p. 14 Let l(d) = -2*d + 44. Let u be l(10). Suppose 2*h = -a + 21, 0 = u*a - 25*a + 2*h + 13. Suppose 3*w = -w + 272. What is the highest common factor of w and a? 17 Suppose 0 = 5*f + 16 + 4, -20 = -2*o + f. Suppose 117 + 73 = 19*g. What is the greatest common factor of g and o? 2 Let g be 990/15 - (3 - 7). What is the highest common factor of g and 250? 10 Suppose h = -5*d + 2, 2866*d + 74 = h + 2862*d. Suppose 0 = 2*b, 0 = -3*g - 5*b + 55 + 134. What is the greatest common factor of g and h? 21 Let y = 4761 + -4533. Calculate the greatest common factor of y and 3021. 57 Let a be 1 - -335 - (-12)/3. Suppose 7*r - a = 185. What is the greatest common divisor of 15 and r? 15 Let f = -818 + 1102. Let h = f + -171. Calculate the highest common divisor of h and 452. 113 Suppose -3*s - n = -213, 0 = 5*s + 2*n - 267 - 89. What is the highest common divisor of 21 and s? 7 Let a(t) = 12*t**2 - 91*t - 27. Let b be a(-6). Calculate the greatest common factor of b and 6. 3 Let d = -2 - -3. Suppose 13*n - 4*n + 10*n = 0. Suppose -64 = -4*o + 4*i, -o + 5*i = -n*o - 36. What is the greatest common factor of d and o? 1 Let h(q) = -q**2 + 9*q + 7. Let u be h(10). Let z be (30/9 + u)*33. Let r = 321 + -288. What is the greatest common divisor of r and z? 11 Suppose s + 153 = -4*s - 3*r, 0 = 2*s + r + 62. Let f = -44 - s. Let y = 17 - f. What is the greatest common factor of y and 196? 28 Suppose -14*u - 13500 = -18*u + 5*i, 5*u - 16830 = -5*i. Calculate the highest common factor of u and 20. 10 Let k = -78 - -81. Let y be (-5 - 23 - -6)*k/(-6). Calculate the greatest common divisor of y and 341. 11 Let o(v) = 108*v - 3016. Let b be o(38). Calculate the highest common divisor of b and 612. 68 Suppose -2*w = 2*q - 242, 15*w - 12*w = -5*q + 369. Suppose w = n - 25. Calculate the greatest common divisor of n and 22. 11 Suppose 4*n - 724 = 2*k, 0 = -2*n + 4*k + 59 + 297. Let g = n - 152. What is the greatest common factor of g and 130? 10 Let d = 7255 - 6991. What is the highest common factor of 704 and d? 88 Suppose 37 - 41 = -2*x. Let i be -3 + (225 - 0) - x. Let k be ((-3)/3)/(1/(-20)). What is the highest common divisor of i and k? 20 Let z = 2 - -2. Let w = z - -3. Let n = 81708 - 81694. Calculate the highest common divisor of n and w. 7 Suppose 175*p + 10296 = -185*p + 69336. What is the highest common divisor of p and 1517? 41 Let w = 147 - 141. Suppose w*l + 162 = -126. Let o = 62 + l. What is the greatest common divisor of 56 and o? 14 Suppose 3*s - 160 = 4*i, 4*s + i - 90 - 98 = 0. Suppose -24 = 13*n - 15*n - o, 0 = -4*n + 4*o + s. Calculate the greatest common factor of 68 and n. 4 Suppose -2139 = -4*s + 3297. Calculate the greatest common divisor of s and 755. 151 Suppose 0 = 3*p + 3*h - 693, 5*h = p + 4*p - 1165. Suppose 0 = -y + 6*y - 315. Let z = -34 + y. Calculate the highest common factor of p and z. 29 Suppose k + 80 = 6*k. Suppose 16 = -12*f - 20*f + 36*f. Calculate the highest common divisor of k and f. 4 Suppose 4*p - 74 = -12*g + 11*g, -g + 2 = 0. Suppose -4*j - 6 + 58 = 0. Let m be (j - 4)*(3 - (-8)/2). Calculate the greatest common divisor of p and m. 9 Let s be 19/(513/(-864))*(-34)/4. What is the highest common factor of 1328 and s? 16 Suppose 5*y - 5*i + 25 = 0, -15 = -9*i + 4*i. Let h be -2*(y + 4) + 140. Suppose -77 = -3*q + 25. What is the highest common divisor of h and q? 34 Let k be 6/12 + 586/4. Let u = -143 + k. Calculate the highest common divisor of 26 and u. 2 Let u be (6 - 7)/((-1)/9). Let z(i) = i**3 - 2*i**2 - 6*i + 18. Let f be z(6). Suppose q = -q + f. What is the greatest common divisor of q and u? 9 Let s = -14936 - -15021. Suppose 2*l - 255 = -l. What is the greatest common factor of l and s? 85 Let o = -78 - 64. Suppose 2 = 5*c + 62. Let k be o/c + (-21)/(-126). What is the highest common factor of k and 48? 12 Let g be 4 + (10 + 2)/(-6) + 5. Let y(r) = -r**3 + 10*r**2 + 6*r + 1. Let z be y(g). What is the greatest common factor of 20 and z? 10 Suppose 0 = 2*t - 3*i - 532, 5 = -5*t - i + 1318. Suppose 0 = t*j - 259*j - 328. What is the highest common divisor of 41 and j? 41 Let r = -223421 + 223694. Suppose -4*i + 114 = -42. Calculate the greatest common divisor of r and i. 39 Let g(q) = -43*q**3 - 2*q**2 - 1. Let z be g(-1). Suppose 0 = -4*n + 59 + 61. Calculate the greatest common divisor of z and n. 10 Let h be 28/(-56)*(-9 - 1). Suppose 7*r - 276 = h*r. Calculate the highest common factor of r and 46. 46 Let y = -947 - -948. Suppose 3*c + 1 = 10. Let d be 1/((-3)/(c*-7)). What is the greatest common factor of y and d? 1 Suppose -4*g - 12*u = -9*u - 222, 3*u = 6. Suppose -12*a + g = -42. Calculate the highest common divisor of a and 3. 1 Suppose -640 = 2*j + 4*y, -2*j - 1600 = 3*j + 2*y. Let w be 3/8 + (-3714
{ "pile_set_name": "DM Mathematics" }
8 = 5*x + 2*g. Let q(f) = f**3 + 6*f**2 + 2*f - 7. Let z be q(-5). Let p be (-8)/6*15/z. Which is greater: p or x? x Suppose 3 = -5*i - 3*p, -i - 4*i - 4*p + 1 = 0. Let a be 1/((6/i)/16). Let m be 0/(7/((-14)/(-6))). Is m > a? True Let a(o) = o**2 + 13*o + 11. Let n be a(-7). Which is greater: -5 or n? -5 Suppose p = 3*k + 4*p + 777, 260 = -k - 2*p. Let v be (2/8)/(k/664). Let y = 1/43 - v. Do y and 1 have the same value? False Suppose 5*q + l + 124 = 0, 5*q + 140 - 4 = -4*l. Is -122/5 < q? True Let p(w) = -3*w + 11. Let t = -5 + 12. Let z be p(t). Let u = -1 + z. Which is greater: -12 or u? u Let j = 228 + -121. Which is greater: j or 105? j Let u = 18220 - 19404302/1065. Which is bigger: 1 or u? 1 Let l be (-2)/15 - (-15 - 1012/(-60)). Which is smaller: -13/11 or l? l Let p = 42 + -40. Suppose -2*h + 26 = -p*y, 0*h + h + 19 = -y. Which is greater: y or -14? -14 Let w(j) = -12*j - 409. Let x be w(-34). Let v be (-2 + -3)*2/8. Which is smaller: x or v? v Let p be -22*(((-5)/(-95))/(-1))/1. Is 1 not equal to p? True Let v(f) = -2*f**3 + 0 + 2*f**3 + 2*f**2 + 4 - f**3. Let d be v(3). Which is smaller: -4 or d? d Suppose 10*y + 20 = 5*y. Let w be ((-3 - -7) + y)*-1. Which is greater: 1/11 or w? 1/11 Let n be 4 - 8 - (-250)/72. Let l = n + 1/36. Is 0.06 != l? True Let g = -64.3 + 65.3. Which is bigger: g or -977? g Let w = 44 + -58. Let f(l) = -l**3 - 13*l**2 + 15*l + 9. Let q be f(w). Is 2 != q? True Let h(a) = -a**2 + 50*a - 512. Let w be h(13). Which is bigger: w or -38? w Suppose 2*o + 3*o = -20. Let y be (o/(-10))/(6/(-30)). Let u be (-42)/4 - 1/y. Is u greater than -10? False Let h = 77 - 78. Which is greater: 4/39 or h? 4/39 Suppose -2*m = -4*m + 12. Let y be (-1 + m)*(-99)/(-9). Suppose 5*f - y = 5*c, 2*f - 3*c + 0*c - 24 = 0. Which is bigger: f or 1? f Let y(d) = -4*d + 16. Let h be y(5). Let t be -2 - (0 + h) - -82. Is -0.1 at most as big as t? True Let d(v) = -3*v + 2. Let h be d(4). Let i be ((-3)/(-5))/(h/(-200)). Suppose -3*w + 6*w - 12 = 3*n, -i = 3*w + 3*n. Which is smaller: w or 1/23? w Let f(d) = d**2 - 14*d + 46. Let x be f(7). Let j = -0.4 + 0.3. Let a = j + 0. Is x greater than or equal to a? False Let t be 4/28 - (-1203)/7. Suppose -3*u + t = -26. Suppose 7*g - 4*g = -u. Which is smaller: g or -23? -23 Let f be (1/3)/(5/225). Let b be (-3)/15*(-50)/f. Is 2 bigger than b? True Let h = 3/379 - -4912/1895. Let f(n) = 2*n - 1. Let o(j) = j. Let u(d) = -f(d) + 5*o(d). Let q be u(1). Which is smaller: q or h? h Suppose 5*k + 2*j = 31 + 31, 2*j = -8. Let z(n) = -n**3 - 2*n**2 + 4*n - 2. Let q be z(2). Let a = q + k. Is a smaller than 2? False Suppose 0 = 129*f - 124*f - 120. Suppose -6 = 9*w - f. Is -7 at least as big as w? False Let t be 14/3*-3 - -2. Suppose -39 = 2*b + b. Let f = b - t. Is f not equal to -2/9? True Let m be 5/(-40) + 1*(-3)/8. Suppose 3*o - 16 + 1 = 0. Suppose -5*t - i = -4*i - 1, -5*t + o*i = 5. Is m bigger than t? False Let b be 18 - 5 - 10 - -2. Which is bigger: b or -88? b Let w = 287938/5 + -57782. Let k = w + 196. Let m(q) = -q**3 - q**2 + q. Let x be m(0). Which is smaller: x or k? x Suppose 0 = 2*t - 48 - 18. Suppose -85 = 2*i - t. Is -27 less than or equal to i? True Let n be 513/(-168) - (-19 - -16). Which is smaller: 0 or n? n Let i be 4/(-6) - (-8)/(-24). Let o be -3 - -1 - (i + -2). Let c be o + 7/4 + -2. Which is bigger: c or 1? 1 Let a(g) = g**3 - 3*g**2 + 9*g - 14. Let w be a(6). Let f be (-6)/27 + w/18. Let k = f - 24. Is -17 < k? True Let a = -3 + 2.98. Let p = -2.02 - a. Let j = 2.3 + p. Is -1 <= j? True Suppose -3*z = -a - 2*a + 18, -15 = -5*z - 4*a. Let t be -3 + (4 - z) + -1. Do t and 2/3 have different values? True Let u = 303/4 + -151189/1996. Which is smaller: u or 0? 0 Let a(x) = -x + 3. Let z be a(4). Which is smaller: -79 or z? -79 Let f be (((-6)/3)/(-4))/((-5)/(-10)). Which is greater: f or -0.18? f Let v(f) = -5*f**3 - f**2 + 2*f + 3. Let q be v(-1). Suppose q*i + 13 + 62 = 0. Is -15 at most i? True Suppose 5*z - 7*t - 1 = -6*t, -1 = -2*z + t. Is z smaller than 2/1641? True Let f = 32157/614 + -34/2149. Let i = f + -167/7. Is 29 greater than or equal to i? True Let r = 31 - 27. Suppose 2*w = -4*s + 18, -w = -5*s + 3*w - 10. Suppose -r = 2*g + s*g. Is -5/6 bigger than g? True Let g be -9 + (-7)/(-7) + 7. Which is greater: -40/27 or g? g Suppose -5*y + 4 = -3*y. Suppose a = y*p - 4*p + 35, -a + 56 = -5*p. Which is smaller: a or 0.1? 0.1 Suppose -8*m + 20 = -4*m. Suppose 11 = c + 3*j, -2*c + 4*c = m*j - 22. Let a be (0 - 2/14) + 0. Which is bigger: a or c? a Let n = 509 - 307. Which is smaller: n or 199? 199 Let u(v) = v**3 + 5*v**2 + 4*v - 2. Let f be u(-4). Let l be f - 25/(-9) - 1. Let x = 1.41 - 2.51. Which is smaller: l or x? x Suppose 0 = s - 3 + 8, 0 = -3*l + 5*s - 26. Let r = 387 + -1611/4. Which is smaller: l or r? l Let i = 0.52 + 0.36. Let z = -0.8 + i. Let s = z - 2.08. Are 3 and s equal? False Let y = -815 + 939. Is 124 smaller than y? False Let v = 1.9 + -3. Let d = -3.1 + 3.2. Let g = v + d. Is g greater than 0? False Let w be -2 + (-41)/(-8) + 19/(-152). Let h be (-16)/(-4) + (2 - 0). Are h and w unequal? True Let t = 257 - 246. Which is smaller: 9 or t? 9 Let s = 20.47 - 254.47. Which is smaller: 4 or s? s Let m be (5 - 4) + 3550 + 1. Let g = 586078/165 - m. Which is bigger: g or -1? g Suppose 24*a - 19*a = -3*c - 402, -246 = 3*a + 3*c. Do -72 and a have the same value? False Let q(b) = b**3 + 5*b**2 + 8*b + 7. Let i be q(-3). Which is greater: i or -6/49? i Let b = -31/21 + 8/7. Let z = -18.85 - -19. Let j = -0.05 + z. Which is greater: b or j? j Let b = 96992/137 + -708. Which is bigger: 1 or b? 1 Let s = 678 + -650. Are s and 29 unequal? True Let z be 4 - ((-1)/(-106) + 0)*426. Which is bigger: 1 or z? 1 Suppose -3*p = -2*p. Suppose -3*k + 94 = 3*y - 4*k, 5*k + 80 = 2*y. Let n be (3/y)/(6/(-36)). Are n and p non-equal? True Let q be ((-42)/(-15))/(1/10). Let p = 15 + -11. Suppose -j + p*j + 3 = -5*d, -4*d = -4*j + q. Which is smaller: d or -3/2? d Let w = -0.09 - -1.09. Let n(c) = c**3 - 5*c**2 - 39*c + 11. Let j be n(9). Which is smaller: j or w? j Let q be -1 - (8*(-3)/6 - -3). Let p be (22/45)/((-423)/108). Let t = p - 2/235. Which is greater: q or t? q Let u = 723 - 717. Which is smaller: 2/3 or u? 2/3 Let r = -1548/7 + 6998/35. Let k(v) = -3*v + 7. Let o be k(-5). Let q = o + r. Is -4 bigger than q? False Let q(r) = 25*r**2 + 4*r + 3. Let f be q(-1). Let w = -262/11 + f. Which is greater: -0.2 or w? w Let z = -3782/11 + 344. Suppose -2*o = -4*o. Let c = o + 0. Which is greater: z or c? z Let a = 14 + -26. Let o(p) = -p**3 - 11*p**2 + 11*p - 10. Let g be o(a). Suppose -g*k = 3*k - 10. Is k less than 8/3? True Let q(p) = 6*p - 13. Suppose 4*w = b - 6*b + 13, 0 = 3*b - 5*w - 30. Let j be q(b). Is j at most as big as 16? False Let t(a) = a**2 - 3*a + 2. Let d be t(3). Suppose -d = -3*m + 4. Suppose 0*u + 2 = u. Are u and m unequal? False Let r = 0.03 - -0.97. Let s(y) = -y**2 - 21*y + 31. Let v be s(-22). Which is greater: v or r? v Suppose 0 = -q - q - 4*z - 20, 0 = -4*q - 4*z - 28. Let o(r) = -r**2 - 2*r - 10. Let i be o(q). Which is greater: -1 or i? -1 Let f = 1/10244 - -25277/3411252. Which is smaller: f or 0? 0 Let m(u) = u**3 - 3*u - 3. Let q be (3 + -4 - -2)*3. Let k be m(q). Suppose 0 = -3*t + x + 6, t - 5*x + 9*x = k. Which is greater: 5 or t? 5 Let d(p) = -25*p + 36. Let w be d(-9). Which is smaller: w or -1? -1 Suppose z + 2 = 2*k + 9, 2*k + 4 = 4*z. Let h be -3 + (-4 + 3)/z. Let o be ((-67)/(-35) + h)*-5. Is -1 bigger than o? False Suppose 4*g - 7*g = -36. Let d be -20 - (-9 - g/(-3)). Is -14 less than or equal to d? False Let j be (1 - 4)/(-2 + -1). Is 5/76 equal to j? False Suppose 0 = -13*g + 17*g + 4. Let p be (-5)/525 - g/7. Is p bigger than -1? True Let n = -221.8598 + -0.1402. Is n != -1? True Let x be ((-3)/(-5))/(4/20). Suppose -5*a - 4*z + 1 = 0, -x*z - 1 = a + a. Is a at least as big as 2/73? True Let w = -1499 + 1675. Is w greater than or equal to 174? True Suppose -5 = 2*o - n, -6*n = -2*n - 20. Suppose w = -o*w - 8. Does w = 0.2? False Let y(h) = -52*h + 415. Let a be y(8). Which is greater: 6/227 or a? 6/227 Let s(m) = -5*m + 2 + 4*m - 3. Let x be s(-4). Let g be 1/((-13)/(9 - 35)). Is g > x? False Let h(z) = 8*z + 90. Let s be h(-1
{ "pile_set_name": "DM Mathematics" }
+ 3 + 7 + 252? True Suppose 5*n - 3 = 7. Is 56 - (6/n - 5) a multiple of 5? False Suppose -890 = -6*a + 2998. Is 36 a factor of a? True Suppose 35*j = 26*j + 1557. Is 2 a factor of j? False Let d be 190/57 - (-2)/3. Suppose -2*u - 204 = -5*g, -d*u = -0*u + 8. Is g a multiple of 7? False Let n(s) be the first derivative of 11*s**2/2 + 22*s - 5. Is n(10) a multiple of 12? True Let t(m) = -m**3 - 6*m**2 - 3*m - 5. Let d be t(-4). Suppose -3*a - 5*z = 120, a = 4*a + z + 120. Let b = d - a. Does 15 divide b? True Suppose p + 8*t = 4*t + 422, 0 = -t + 3. Does 10 divide p? True Let z(x) = x**2 + 10*x + 5. Let h be z(0). Suppose -l + h*r = -115, -l - 2*l - 4*r = -421. Is l a multiple of 22? False Suppose -5*i + 594 = -b, -2*i = -0*i + 5*b - 216. Let x = i - -69. Let n = x + -131. Is n a multiple of 16? False Is (-1007)/(-9) - 59/(-531) a multiple of 16? True Let u(w) = 2*w**2 + 11*w + 3. Let b be -5*(4 - (3 + 2)). Does 9 divide u(b)? True Let s = -14 - -19. Suppose -r + 2*r = s. Suppose 296 + 24 = r*i. Is 20 a factor of i? False Let y be 1 + -4 + -2 + 10. Let r(m) = m**3 - 5*m**2 + 3*m - 3. Let a be r(y). Let z(n) = 3*n - 30. Is z(a) a multiple of 2? True Let w be 4 - (-35 + 0 + -2). Suppose -w - 7 = -a - 3*u, 0 = -4*u + 8. Suppose 9*f + a = 10*f. Is f a multiple of 6? True Suppose q = 5*w - 302, -5*w + 3*q + 306 = -0*w. Is 15 a factor of w? True Suppose 0 = u - 21 + 6. Let w(q) = 4*q + 12. Let t be w(u). Suppose -12 - t = -2*s. Is 18 a factor of s? False Suppose 4*n - 32 = -2*b, b + 4*b = 4*n + 38. Let j = b + -7. Is 48/j + (-3)/1 a multiple of 13? True Let b = -151 - -252. Is 36 a factor of b? False Let y be (9/6)/((-1)/(-4)). Suppose 8*o = y*o. Suppose -5*p - 68 = -r, o = 2*r - p + 4*p - 110. Is 29 a factor of r? True Let m = 16 + -11. Suppose 2*t - 2 = m*s - 14, s - 3*t = 5. Suppose -5*f = 2*q - 332, f + s*q - q = 67. Is f a multiple of 11? True Let t = -3 - -8. Suppose -47 = -0*h - 2*h - p, -4*h + 85 = t*p. Let g = h + -11. Is 7 a factor of g? True Let l be (-2)/2*(-1 + 1). Let n(y) = -y + 13. Let f be n(l). Is 106/f + (-20)/130 a multiple of 2? True Suppose 3*j - 4*j = -6. Suppose j*p + 27 - 213 = 0. Is p a multiple of 10? False Let s(r) = 0*r + 0*r + 2 + 82*r**2 - 1 + r. Is s(1) a multiple of 26? False Suppose 0 = 6*b - 97 - 395. Does 26 divide b? False Is 3 a factor of 80 + -1 + 3 + (-22)/(-11)? True Let f(l) = -l**3 + 3*l**2 + 1. Let g be f(3). Let m(k) be the first derivative of 15*k**2 + 4. Does 24 divide m(g)? False Let n = 380 - 557. Let k = -39 - n. Is 46 a factor of k? True Let b = -89 - -99. Suppose -b*z + 514 = 34. Is 12 a factor of z? True Let w(c) = -8*c**3 - 3*c**2 - c + 5. Let l be w(3). Let b be 6/2 + (l - 4). Let y = b - -359. Is 39 a factor of y? True Suppose 4*p - z = 4, 2*p - 7*p - 4*z = -26. Suppose -2*f + 15 + 137 = -p*i, 2*f - 5*i = 167. Is 9 a factor of f? False Suppose -3*l + 5148 = 3*x - 0*l, -3*x - 5*l + 5148 = 0. Is 26 a factor of x? True Let h(j) = 25*j**2 - j + 1. Let q = 19 - 5. Let d be (0 - -2)*(-7)/q. Is h(d) a multiple of 16? False Let i(y) = y**3 + y + 5. Let z be i(0). Suppose -46 = -z*r - 6. Is (-39)/52*r/(-3) a multiple of 2? True Suppose 200 = n - 4*b, 5*n - 9*b = -4*b + 955. Is 29 a factor of n? False Let d(p) = p**2 + 3. Let v be d(0). Suppose -v*z - x + 13 = 0, 4*z - 6*x = -5*x + 8. Suppose 54 = 5*k - 3*j, 28 = z*k - 4*j - 0*j. Does 8 divide k? False Let y(g) = -g**2 - 7*g + 13. Let w(u) = u**3 + 11*u**2 + 9*u - 10. Let c be w(-10). Suppose -4*s = -c*i - 3*i - 8, 0 = -4*i - s - 36. Is y(i) a multiple of 5? True Let o(x) = x**2 + 13*x + 16. Let c be o(-16). Suppose 3*n - 32 - c = -3*k, -n + 2*k = -26. Does 30 divide n? True Let k be 13 + -6 + (4 - 1). Suppose 5*v - 61 = -i + k, -3*v = 12. Is i a multiple of 44? False Suppose -p = -2 + 1. Is -3 - (p - -266)/(-3) a multiple of 20? False Let q = -1315 + 1926. Suppose -9*c - q = -1988. Is 17 a factor of c? True Suppose 4*a - 9*a = -135. Suppose -31*u + 108 = -a*u. Is u a multiple of 5? False Suppose 7*z = 9*z. Suppose -4 = v, z*w + 2*w + 5*v - 16 = 0. Is 13 a factor of w? False Let f = 2320 + -821. Is 32 a factor of f? False Does 3 divide 67 + -33 - ((-1 - 0) + 6)? False Does 2 divide (12/(-5))/((-2)/(-5)) - -144? True Suppose -3*t = -3*g - 33, 5*t = 2*t + g + 25. Suppose 0 = -5*w - u + t, 0 = -w - 3*w - 5*u - 7. Does 24 divide (26 - w) + (-2 - -2)? True Let n(m) = m + 5. Let g be n(-3). Suppose 0 = 3*w - 10 - g. Suppose 21 = 3*a - 3*t, 2*a = -w*t + 31 + 13. Is a a multiple of 7? False Let b = 262 - -38. Is 18 a factor of b? False Let n(r) = 14*r**2 - 46*r + 21. Is n(-10) a multiple of 35? False Let i(h) = -4*h + 0*h + 3*h + 3*h - 5. Let a be i(4). Suppose -r = a*r - 20. Is r a multiple of 5? True Let o = 14 + -11. Suppose 0 = o*x - 71 - 34. Is x a multiple of 9? False Let l(t) = -20*t. Is 8 a factor of l(-6)? True Suppose -3*q = -5*l + l - 28, -14 = 2*l + 4*q. Let k(c) = 58*c**2 + 4 + 4*c**3 - 2*c - 5*c**3 - 130*c**2 + 67*c**2 + 11*c. Is k(l) a multiple of 19? False Let b = 4 - 1. Suppose b*i - p - 34 = p, -5*i + 55 = -3*p. Let j = 13 - i. Is 2 a factor of j? False Let j = 247 - -1130. Is j a multiple of 81? True Let l be 1/4*-7*-2*10. Let h = l + -15. Is h a multiple of 6? False Let q(n) = 2*n**2 + 5*n - 9. Let z be q(-6). Suppose -3*r = -u + z, -59 - 39 = -4*u - 5*r. Suppose -5*k = -6*k + u. Does 20 divide k? False Let g be (-87)/27 + (-2)/(-9). Let v be (3/(-9))/(g/207). Let b = v - 2. Is 5 a factor of b? False Is 41 a factor of 805 - (-4 + -5 + 16)? False Suppose -3*k - 86 = -u, -3*u - 2*k = -126 - 77. Is u a multiple of 2? False Suppose 0 = -36*r + 38*r + 20. Let h(g) = g**2 + 4*g + 14. Is 21 a factor of h(r)? False Let u(w) = w - 11. Let m be u(3). Let t be -2*12/m - -3. Suppose t*a - 144 = 72. Is 12 a factor of a? True Suppose 493*b = 507*b - 5068. Does 13 divide b? False Suppose 0 = -5*b + 13 + 87. Let a be 879/4 + 5/b. Suppose -3*m - 2*m + a = 0. Is 22 a factor of m? True Let n be ((-3)/((-6)/2))/(-1). Let z be (n + -1)*17/2. Is ((-16)/(-4))/(-2) - z a multiple of 5? True Let j(o) = -298*o**3 - o**2 + 2*o + 2. Let x be (8/12)/((-12)/18). Does 30 divide j(x)? False Let k(g) = g**3 + 3*g**2 + 2*g - 4. Let d be k(-3). Let b be (d - 13)*(1 + 0). Let x = 36 + b. Is x a multiple of 13? True Let t = -46 - -46. Suppose -8*q + 1447 - 159 = t. Is q a multiple of 23? True Let n be ((12790/4)/5)/((-1)/(-4)). Is (-12)/15 - n/(-10) a multiple of 31? False Let d be (-20)/(-6)*36/30. Suppose d*c - 258 + 2 = 0. Is c a multiple of 53? False Let r be (21 - -1)*(-18)/(-3). Let g = -34 + r. Does 21 divide g? False Let s(z) = 45*z + 2. Let r be (3 - 0)/((-15)/(-10)). Let k be s(r). Suppose 2*c - 4*q = k, q + 3 = 4*q. Is 12 a factor of c? True Let w be -3 - -7 - (-4 - -4). Suppose -55 = -w*y + 457. Does 27 divide y? False Let h(n) = n**3 - 9*n**2 + 7*n + 43. Is 18 a factor of h(13)? True Suppose 0 = -5*o + 3*k + 1855 + 674, -492 = -o - 4*k. Is o a multiple of 8? True Suppose 45 = -5*r - 25. Let x = -6 - r. Does 12 divide 28 + 7/((-14)/x)? True Let r(l) = l**3 - 2*l**2 - 3*l + 4. Let t be r(3). Let z(a) = a**2 - 8*a - 6*a**2 + 3*a**2 + 5*a**2 - 4. Is z(t) a multiple of 4? True Suppose 5*h - 3*a - 5829 = 0, h - 8*a - 1173 = -5*a. Is h a multiple of 16? False Let c(r) = r**3 - r**2 - 4*r - 3. Let d(v) = 2*v**3 - v**2 - 2*v - 1. Let y be d(-1). Let n be c(y). Let a(i) = -10*i - 17. Does 19 divide a(n)? False Let b(g) = g**3 - g**2 - 2*g + 2. Let z be b(1). Suppose -2*a + 4*a - 208 = z. Is a a multiple of 8? True Let i(q) = 2*q + 167. Is i(59) a multiple of 15? True Let y(w) = 60*w + 11. Let x be 4*2/8*-4. Let d be y(x). Let i = -149 - d. Is i a multiple of 40? True Let v(z) = -2*z + 1 + 5 + 0*z - 3*z. Is v(-6) a multiple of 9? True Suppose -66*t = -32*t - 23596. Is 49 a factor of t? False Let b(l) = l**2 + 11*l + 11. Let o(n) = n - 7. Let i be o(-5). Let y be b(i). Let p = 30 - y. Is 2 a factor of p? False Suppose 4*j - 1 = 19. Let o = 80 + -35. Suppose j*s + o = 225. Does 13 divide s? False Let x = -10 + 21. Let o = x + -27. Is (-432)/64*o/3 a multiple of 18? True Let w be (-10795)/(-20) + (-1)/(-4). Suppose 0*c = 3*c - w. Suppose 3*q + 0*q = c. Does 15 divide q? True Suppose 2*h - 68 = 86. Is 63 a factor of h? False Let c(i) = i**3 + 3*i**2 - 31*i + 17. Does 10 divid
{ "pile_set_name": "DM Mathematics" }
orm c*h**3 + d*h + x*h**2 + l and give x. 5 Rearrange -2*x**2 + 2*x**2 + 4*x**2 + (-x**2 - x**2 - 4*x**2)*(-7 + 4 - 7)*(-4 + 5 + 0) to the form s*x + d + g*x**2 and give g. 64 Rearrange -27 + 76*j - 49*j - 21*j to w*j + s and give w. 6 Express (3*l - l - 3*l)*(8*l + 11*l**3 - 8*l) + (-2*l**2 + 2*l**2 + 3*l**3)*(-2*l + 3*l + 5*l) as i*l**4 + w + b*l**2 + p*l + f*l**3 and give i. 7 Rearrange -15*q + 19*q - 11*q - 21 to l + f*q and give l. -21 Rearrange 2 + 29*u - 95*u + 22*u**2 + 37*u + 29*u to the form r + b*u**2 + s*u and give b. 22 Express 6 + 38*x + 19 - 25 + 1647*x as f + b*x and give b. 1685 Express -32*v + 23*v + 30*v + 76*v in the form r + d*v and give r. 0 Rearrange -10*c - 5*c - 5*c + (-3*c + 4*c + 0*c)*(3 + 2 - 7 + (-1 + 4 - 5)*(4 - 4 + 1) + 0 + 6 - 4) to the form a*c + s and give a. -22 Rearrange (8159*r - 2576*r - 2244*r - 1808*r)*(3 - 1 - 4) to the form g*r + s and give s. 0 Rearrange (0 - 1 + 2)*(0 - 1 + 2)*(641*g + 3 + 654*g - 863*g) to i + n*g and give n. 432 Rearrange 311 + 5*x**4 - 8*x - 4*x**4 - 308 to o*x**2 + s + v*x**3 + n*x + r*x**4 and give r. 1 Express 23 + 36 - 3*g - 20 + 23 + 5 in the form c*g + a and give c. -3 Rearrange -225*b - 254*b + 129*b to j*b + i and give j. -350 Rearrange (0*l - l - 3*l)*(5*l**2 + 2*l**2 - 5*l**2) - 1880 - 316*l**3 + 1880 to y*l**2 + i*l + k*l**3 + n and give k. -324 Rearrange 0*z - 201 - z**2 - 41 + 58 - z**2 + 2*z to u + n*z + a*z**2 and give u. -184 Express (30 - 5 - 3*s - 28)*(0*s**2 + 0*s**2 - 2*s**3) as o + i*s + l*s**4 + f*s**2 + x*s**3 and give x. 6 Express -14*d**2 - 12*d**2 + 9 - 16*d**2 - 22*d**2 + 48*d**2 in the form q + l*d + r*d**2 and give q. 9 Express -4*k**2 + 2*k**2 - 537*k - 123 + 536*k as a*k**2 + b*k + t and give b. -1 Express 40*p**3 - 1 + 2*p + 3*p - 42*p**3 - 6*p**4 - 13*p + 10*p in the form g*p**2 + t*p**3 + f + u*p**4 + a*p and give a. 2 Express 0*r**4 + 0*r**4 - 3*r**4 - 6*r**4 + 2*r**4 + 3*r**4 + (-3*r**3 + r**3 + 0*r**3)*(-5 - 4*r + 5) as z + b*r**3 + q*r**4 + w*r**2 + g*r and give q. 4 Express (75 - 32 + 21)*(1 - 1 - 4*l) + (-1 + 2 - 2)*(0*l + 2*l - 4*l) + (1 - 3 + 4)*(0*l + 2*l - l) in the form j*l + u and give j. -252 Rearrange (-s + 2*s - 3*s)*(2 - 2 + s) + (-4*s + 4*s + 2*s**2)*(0 - 4 + 2) + s**2 - 4*s**2 + 0*s**2 + 4 - s**2 - 4 to the form l*s**2 + j + c*s and give l. -10 Express -1253*k**2 - 1217*k**2 + 2154*k**2 as i*k + j*k**2 + a and give j. -316 Express -h**4 - 2 + 2*h + 0*h**4 + 2*h**4 - 3*h + 2*h**3 as c + b*h**2 + a*h + r*h**4 + k*h**3 and give c. -2 Rearrange -6 - 8 + 5 - f**3 - 4 to t*f**2 + q*f**3 + r + x*f and give q. -1 Rearrange -174*j**3 - 8 + 298*j**3 - 235*j**3 to f*j + g*j**3 + w*j**2 + b and give b. -8 Rearrange 2*s - 17*s**2 - s**2 + 2 - 48*s**2 - 1 - 3*s**3 to b + h*s**3 + q*s + c*s**2 and give q. 2 Express (-d + 4*d - 5*d)*(-66*d**2 + 144*d**2 - 58*d**2) - 1 + 1 - d**3 as b + p*d + x*d**2 + v*d**3 and give v. -41 Rearrange 869*j - 7*j**2 - 1 - 3*j**3 - 869*j - 6*j**4 + 1 to f*j**2 + k*j + p + y*j**3 + u*j**4 and give f. -7 Express 223*f**2 + 176*f + f**3 - 223*f**2 - 487*f + 1 in the form m + j*f**2 + d*f + q*f**3 and give d. -311 Express (72*g - 16*g + 84*g + 19*g)*(-2*g**3 - g**3 + 9*g**3) in the form y*g**3 + z + f*g**4 + q*g**2 + h*g and give f. 954 Rearrange 4 - 149*x**2 - 2*x**3 - 4*x + 149*x**2 - x to y + n*x**3 + l*x + p*x**2 and give y. 4 Express 9 + 6 + 16*s - 16 + 3*s - 2*s - 3*s + (2 - 1 + 0)*(s - 3*s + 3*s) + 1 - 1 + 3*s in the form x*s + h and give h. -1 Rearrange -4*r**2 - 2 + 3*r**4 - 3*r**2 - 3*r**3 + 9*r**2 - 2*r to c*r + i + k*r**3 + j*r**2 + p*r**4 and give c. -2 Express (-6 + 6 + 2*y + (2 + 7 + 4)*(-3*y + 0*y + 2*y))*(-y - y + 4*y) + (3*y + y - 3*y)*(-2 + 1 + 0)*(-1 + 1 + y) as r + g*y**2 + m*y and give g. -23 Express -17*z - 111*z**2 + 17*z - 284*z**2 as o*z**2 + p*z + l and give l. 0 Rearrange -168 - t**3 + 15*t + 224 + 203 - 18*t + 2*t**3 to the form r*t**3 + w*t + a + i*t**2 and give w. -3 Express (-1222*h - 34*h**3 + 1222*h)*(4*h + h - 4*h + (4 - 4 - 2*h)*(3 - 6 + 2) - h - 2*h + h) as f*h**3 + m*h + p*h**2 + q*h**4 + k and give q. -34 Rearrange 95*i + 73*i - 46*i to x + t*i and give t. 122 Express 3*u**3 - 65*u**2 + 8*u**2 - 1 + 50*u**2 + 2*u in the form h*u**2 + a*u + g + y*u**3 and give g. -1 Express -57 - 65 + 15*g**2 + 114 in the form a*g**2 + d*g + l and give l. -8 Express (-5*v + 7*v - 16*v)*(0 + 0 - 2*v) + (15*v**2 + 42*v - 42*v)*(6 - 3 - 4) as z*v**2 + y*v + p and give z. 13 Rearrange 3081*z + 261*z**2 + 883*z**2 - 3081*z + (5*z - 2*z - 2*z)*(0*z - z + 0*z) to the form i*z**2 + b + q*z and give i. 1143 Express v**3 + 0*v + 41*v**2 + 0*v**3 + 15*v**2 - 2*v as g*v**3 + n + u*v**2 + l*v and give u. 56 Express s**3 - 8*s - 15*s**3 + 23*s**3 - 6*s**3 - 6*s**2 as w*s**3 + n*s**2 + b*s + r and give b. -8 Express (-2*z - 3 + 1 + 4*z)*(7*z - 6*z - 3*z + 33*z**2) in the form l + s*z**2 + f*z**3 + g*z and give s. -70 Rearrange (4*o - 2*o + 0*o)*(3 - 6 + 2 + (0 - 1 - 4)*(0 + 0 - 3) - 2 + 0 + 0)*(3 - 1 - 1 + 1 + 0 - 2 + (2 - 3 - 1)*(-1 - 2 + 2)) to c + h*o and give h. 48 Rearrange (-5 + 0 + 3 + 1 - 3 + 3 + (0 - 2 + 3)*(-6 + 3 + 1) + 0 + 1 - 3 - 3 + 0 + 11 - 1 + 1 - 2)*(-3*q - 4*q + 4*q) to the form x + h*q and give h. -3 Express 4*h**4 - 4*h + 124 - 126 - 5*h**4 in the form m*h + g*h**4 + a + c*h**3 + l*h**2 and give c. 0 Rearrange (1574*q + 14266 - 14266)*(0*q - q - q) + q + 2*q**2 - q to c + d*q + m*q**2 and give d. 0 Rearrange (-c - 3 + 3)*(-3 + 4 - 2) + 15*c - 13*c + 4*c + (2 + 2 - 1)*(-c + 3 - 3) to the form t*c + j and give t. 4 Rearrange 2*n**3 - 4 - 2*n**2 + 5 - 3 + n to the form c*n**2 + l*n**3 + g*n + m and give m. -2 Rearrange 8542 - 8542 + 322*z to the form h + s*z and give s. 322 Rearrange 29*u**2 + 12*u - 1419*u**2 + 21*u - 33*u to the form a*u**2 + m + h*u and give a. -1390 Express (4*a**4 - 3*a**4 - 2*a**4)*(-214 - 584 - 337) in the form s*a**2 + n*a**3 + d*a**4 + w + u*a and give d. 1135 Rearrange (-4 - 3 + 3)*(-4*p**4 + 4*p**4 - 2*p**4) - 21*p**4 - 13*p**4 - 2*p**4 to u*p**4 + k + o*p**3 + l*p**2 + w*p and give u. -28 Express -i**2 - 49 - 1 - 17 - 26 + 28 as q*i + c + s*i**2 and give s. -1 Rearrange -2*k - 15*k**3 + 1 + 117 + 16*k**3 to the form c*k**2 + b*k + q + t*k**3 and give b. -2 Express -9309 + 3*v + 9294 - v**3 - v - 2*v**4 as n*v**2 + g + a*v**4 + w*v + b*v**3 and give b. -1 Express -1 - f**2 - 1271*f**3 - 6 + 1269*f**3 + 2*f**4 - 2*f in the form b*f**3 + m*f**4 + n*f + q*f**2 + x and give x. -7 Express 2188*z - 2188*z - 6*z**3 + (-z + 2 - 2)*(z**2 - z**2 - 2*z**2) + 2*z**3 - 4*z + 4*z as v*z**3 + o*z + k*z**2 + y and give v. -2 Express 0*o**3 + 14*o**3 - 4*o**3 + ((2*o**2 + 4 - 4)*(4*o - o - 2*o) - o**3 - 2*o**2 + 2*o**2)*(-11 - 10 + 0) as r*o**2 + p*o**3 + f*o + l and give p. -11 Rearrange -40*s**3 + 0*s**3 - 6*s - 2 + 6*s**3 + s + 20*s**3 + s**2 to the form o + j*s**2 + d*s**3 + g*s and give d. -14 Express (-2 + 0 + 0)*(-4*n**2 - 10 + 10) + (-2 + 5 + 2)*(n + 2*n - n)*(-4*n + 6*n + 0*n) in the form c + r*n**2 + j*n and give r. 28 Express 2*u**3 + 3*u**3 + 0*u + 3*u - 4*u**3 - 24 - 3*u**2 as g*u**3 + f*u + r*u**2 + y and give r. -3 Rearrange 37*q**3 - q - 62*q**3 + 6*q - 6*q**2 + 32*q**3 to the form r*q**3 + j + l*q**2 + w*q and give w. 5 Rearrange -29*f**2 + 2 - 22*f**3 - 21*f**3 - 28*f**2 + 51*f**2 to p + b*f**3 + i*f**2 + w*f and give i. -6 Express -60*y**3 + 28*y**3 + 10*y + 31*y**3 as z*y**3 + d*y**2 + m*y + j and give m. 10 Express -3*j + 2 - 7*j + j - 4 - 2 - 2*j**2 in the form m + g*j**2 + d*j and give m. -4 Rearrange 2*c**3 - 4 - c**3 + 0*c**3 - 9*c**3 + 13*c**3 + 4*c**2 to z*c**2 + o*c + q + d*c**3 and give q. -4 Rearrange b + 3 + 70414*b**3 - 70410*b**3 + 2 + 3 to the form g*b**2 + l*b + k + i*b**3 and give i. 4 Rearrange (h**2 + 2*h - 2*h)*(-6*h + h + h)*(2 - 25*h - 2) to the form c + m*h + r*h**4 + k*h**2 + t*h**3 and give r. 100 Express (25 - 14 - 12)*(-9*r + 15*r**4 - 7*r - 17*r**4) as d*r + c + b*r**2 + w*r**4 + m*r**3 and give w. 2 Express (32*d + 28*d + 27*d)*(-10*d**3 + 0*d**3 + 2*d**3) as a*d**3 + k + m*d**2 + y*d**4 + j*d and give y. -696 Rearrange (c - 3*c - c)*(-2 - 5149*c**3 + 11056*c**3 - 5000*c**3) to the form b + t*c**4 + d*c**2 + x*c**3 + s*c and give b. 0 Rearrange (-4 + 3 + 3)*(3*o**3 + 6*o**3 - 7*o**3 + 4) + 138*o**2 - 11*o**3 - 138*o**2 to the form d*
{ "pile_set_name": "DM Mathematics" }
acement from {w: 1, u: 1, k: 1, z: 1, f: 1}. What is prob of sequence wkfw? 0 Two letters picked without replacement from gggtqztqmt. What is prob of sequence tg? 1/10 What is prob of sequence iif when three letters picked without replacement from {j: 1, i: 10, f: 6}? 9/68 What is prob of sequence yy when two letters picked without replacement from ayyaya? 1/5 Four letters picked without replacement from {d: 1, u: 1, g: 6, f: 3, m: 2}. Give prob of sequence ggmg. 2/143 Two letters picked without replacement from {o: 5, s: 2, e: 2, g: 1, c: 1, v: 2}. What is prob of sequence eo? 5/78 Three letters picked without replacement from {u: 5, s: 2, v: 11, j: 2}. What is prob of sequence vuu? 11/342 Three letters picked without replacement from {l: 2, c: 1}. Give prob of sequence cll. 1/3 Calculate prob of sequence vvvq when four letters picked without replacement from pqvvqvpvpddpdvdwv. 1/238 What is prob of sequence ss when two letters picked without replacement from {w: 1, h: 5, s: 6, u: 6, f: 1}? 5/57 Two letters picked without replacement from qquqqqukuuquqquqq. What is prob of sequence qu? 15/68 Three letters picked without replacement from jjssssjsssssjsjjjhss. What is prob of sequence sjj? 7/95 Three letters picked without replacement from {z: 3, v: 2, r: 10, k: 3}. Give prob of sequence kzz. 1/272 What is prob of sequence vonv when four letters picked without replacement from {r: 1, o: 1, v: 2, n: 1, j: 2}? 1/420 Four letters picked without replacement from {o: 2, y: 13, p: 1, r: 1, v: 2, d: 1}. What is prob of sequence oyvr? 13/29070 Four letters picked without replacement from {s: 2, j: 7, p: 11}. What is prob of sequence jpjj? 77/3876 Three letters picked without replacement from ltffrtpprgprfrtgt. What is prob of sequence rfl? 1/340 Four letters picked without replacement from {k: 4, y: 4, s: 2, q: 2}. What is prob of sequence ssyy? 1/495 Calculate prob of sequence kvk when three letters picked without replacement from {k: 4, v: 3}. 6/35 Calculate prob of sequence ct when two letters picked without replacement from jkjetjucueej. 1/132 Calculate prob of sequence llqa when four letters picked without replacement from lqlaaqalallllaqqqaq. 21/1292 Four letters picked without replacement from {l: 1, u: 1, n: 2, c: 6, p: 3}. Give prob of sequence pcun. 3/1430 Three letters picked without replacement from hhjhhhjh. What is prob of sequence hhj? 5/28 What is prob of sequence yu when two letters picked without replacement from {y: 1, x: 3, u: 3, m: 3}? 1/30 What is prob of sequence ak when two letters picked without replacement from kkkkkkka? 1/8 Calculate prob of sequence ens when three letters picked without replacement from {o: 1, n: 2, e: 2, s: 1, f: 2, l: 5}. 1/429 Four letters picked without replacement from hhyyhyhhyyyyydydyyyy. Give prob of sequence dhhh. 1/969 Calculate prob of sequence uvu when three letters picked without replacement from {j: 6, u: 9, v: 3, k: 1}. 12/323 Calculate prob of sequence fiyf when four letters picked without replacement from ffyifyyfyoyyyyy. 3/910 What is prob of sequence am when two letters picked without replacement from {m: 2, a: 3}? 3/10 Four letters picked without replacement from zzzzolkww. What is prob of sequence zzzz? 1/126 Two letters picked without replacement from {y: 2, u: 4, k: 1, m: 2}. What is prob of sequence yk? 1/36 Four letters picked without replacement from uizrriwirrrir. What is prob of sequence wizi? 1/1430 Two letters picked without replacement from nenqonoqoqdone. What is prob of sequence on? 8/91 Two letters picked without replacement from {z: 1, h: 1, y: 2, u: 3, r: 5}. What is prob of sequence rh? 5/132 Three letters picked without replacement from rkddddkr. Give prob of sequence ddr. 1/14 Calculate prob of sequence fs when two letters picked without replacement from {s: 2, f: 13, q: 3}. 13/153 Four letters picked without replacement from {p: 2, w: 1, g: 2, l: 1, q: 2}. What is prob of sequence qwwp? 0 Three letters picked without replacement from zqpbwbq. What is prob of sequence wqp? 1/105 Three letters picked without replacement from fcfki. Give prob of sequence fif. 1/30 What is prob of sequence th when two letters picked without replacement from {g: 3, t: 1, f: 1, h: 1, d: 6, w: 1}? 1/156 Calculate prob of sequence ci when two letters picked without replacement from iitiottiiyicyiycigi. 1/19 Calculate prob of sequence qqq when three letters picked without replacement from qqqqqq. 1 What is prob of sequence llll when four letters picked without replacement from {l: 4}? 1 Two letters picked without replacement from sxusxuuxxfsx. Give prob of sequence uu. 1/22 Two letters picked without replacement from kkwfwd. What is prob of sequence dk? 1/15 Calculate prob of sequence mmg when three letters picked without replacement from sgwwgmmoqwm. 2/165 What is prob of sequence mkom when four letters picked without replacement from {m: 3, o: 3, k: 4, b: 4, t: 6}? 1/1615 What is prob of sequence bsd when three letters picked without replacement from psbssbssdsssbs? 9/728 Three letters picked without replacement from {o: 3, r: 1, x: 4, q: 6}. What is prob of sequence oor? 1/364 Two letters picked without replacement from {f: 1, q: 2, b: 7, l: 3, y: 4}. Give prob of sequence yb. 7/68 Two letters picked without replacement from {s: 11, x: 9}. Give prob of sequence xx. 18/95 Three letters picked without replacement from gggkgngggxkgkg. What is prob of sequence gkg? 9/91 Two letters picked without replacement from qgk. Give prob of sequence kg. 1/6 What is prob of sequence xl when two letters picked without replacement from cflvccxccccc? 1/132 Three letters picked without replacement from ggaagaaa. What is prob of sequence aaa? 5/28 What is prob of sequence ssmq when four letters picked without replacement from msqsmqsq? 3/140 What is prob of sequence xsh when three letters picked without replacement from {z: 1, x: 2, s: 1, p: 1, a: 2, h: 1}? 1/168 What is prob of sequence oho when three letters picked without replacement from {o: 3, h: 15}? 5/272 What is prob of sequence lb when two letters picked without replacement from lbrr? 1/12 Four letters picked without replacement from zzppp. What is prob of sequence pppz? 1/10 Calculate prob of sequence rrr when three letters picked without replacement from {r: 9}. 1 Two letters picked without replacement from kkkkfkff. Give prob of sequence fk. 15/56 Three letters picked without replacement from tavzzzcnvvttavtvvc. Give prob of sequence tva. 1/102 Three letters picked without replacement from {n: 8, h: 4, r: 2}. What is prob of sequence rhn? 8/273 Two letters picked without replacement from {a: 2, h: 1, q: 1, g: 1, k: 1, w: 1}. Give prob of sequence gk. 1/42 Two letters picked without replacement from nnnnnnnnnnnnjnnnnn. Give prob of sequence nj. 1/18 Two letters picked without replacement from buxbuuxuxxxxx. Give prob of sequence xu. 7/39 Calculate prob of sequence it when two letters picked without replacement from wzktwtiwthwkwhh. 1/70 What is prob of sequence ndnt when four letters picked without replacement from pnnpptndnqnd? 1/297 Calculate prob of sequence yjh when three letters picked without replacement from {r: 4, x: 4, v: 3, y: 1, j: 1, h: 4}. 1/1020 Two letters picked without replacement from jrzxuxejjjuu. Give prob of sequence ej. 1/33 What is prob of sequence ee when two letters picked without replacement from {e: 4, a: 2}? 2/5 Two letters picked without replacement from glglff. Give prob of sequence gf. 2/15 Three letters picked without replacement from {y: 1, s: 4, w: 6, h: 3}. Give prob of sequence hhh. 1/364 Calculate prob of sequence ntu when three letters picked without replacement from uneuxtxutntnq. 9/572 Four letters picked without replacement from {b: 4, w: 1, j: 4, p: 1, o: 4, v: 4}. Give prob of sequence povj. 2/2295 Calculate prob of sequence zof when three letters picked without replacement from {o: 4, z: 6, f: 9}. 12/323 Three letters picked without replacement from {m: 4, o: 1, h: 3, r: 5, c: 3, k: 1}. What is prob of sequence koo? 0 Calculate prob of sequence gg when two letters picked without replacement from uqguquugqugugujg. 1/12 Two letters picked without replacement from {p: 1, k: 1, s: 2, b: 2, h: 1}. What is p
{ "pile_set_name": "DM Mathematics" }
/(1*sqrt(1452)). -12*sqrt(2)/11 Simplify (1*((sqrt(133) + sqrt(133) + sqrt(133) + sqrt(133)*2 - sqrt(133))/sqrt(7) - (-2 + sqrt(57)/sqrt(3) + sqrt(19) - sqrt(19))))**2. 12*sqrt(19) + 175 Simplify (sqrt(210)/sqrt(10)*-2)/sqrt(3). -2*sqrt(7) Simplify (4 + (sqrt(5) - (1 + -2*sqrt(5) - sqrt(5)))*2)**2. 32*sqrt(5) + 324 Simplify -5*sqrt(133)/((sqrt(7) + sqrt(28))*-1). 5*sqrt(19)/3 Simplify ((sqrt(605)*1)/sqrt(11))/(1*sqrt(275)). sqrt(5)/5 Simplify 6*sqrt(55)/sqrt(11) + (-1*sqrt(500))**2. 6*sqrt(5) + 500 Simplify sqrt(1872)*-1 - (sqrt(13) - (sqrt(13) + (sqrt(78)/sqrt(2))/sqrt(3))). -11*sqrt(13) Simplify (sqrt(72) + 0 - -2*sqrt(648))**2 + 3. 3531 Simplify ((sqrt(228) - 3*sqrt(228))*-3)/(sqrt(132)/(sqrt(55)/sqrt(5))). 6*sqrt(19) Simplify sqrt(1300) + (0 + sqrt(1300))**2 + 2. 10*sqrt(13) + 1302 Simplify (sqrt(880)*-2)/(-1*sqrt(704)). sqrt(5) Simplify -5 + -3 + (2*sqrt(35))/sqrt(7). -8 + 2*sqrt(5) Simplify (6*sqrt(1458))/sqrt(9). 54*sqrt(2) Simplify (sqrt(57)/(1*-2*sqrt(3)))**2. 19/4 Simplify (sqrt(2057) - (sqrt(2057) + -1))**2 - (sqrt(612)*2 - sqrt(612)). -6*sqrt(17) + 1 Simplify (0 + (sqrt(54)/sqrt(3)*4)/sqrt(6))*-4. -16*sqrt(3) Simplify -3*(sqrt(11) - (1 + sqrt(11)*-3))**2*-2. -48*sqrt(11) + 1062 Simplify -1 + 1 + 2*sqrt(13). 2*sqrt(13) Simplify (-2 + (sqrt(2) - sqrt(2)*-2))*-4. -12*sqrt(2) + 8 Simplify sqrt(405) + 2 + 4. 6 + 9*sqrt(5) Simplify (sqrt(975)*3)/(-4*sqrt(3)*-3). 5*sqrt(13)/4 Simplify (sqrt(160) + 1*sqrt(160))/(sqrt(2) - -1*sqrt(128)). 8*sqrt(5)/9 Simplify (sqrt(42)/sqrt(150) - sqrt(7) - (sqrt(7)*1 + -2))**2. -36*sqrt(7)/5 + 667/25 Simplify 2*(-1 + (1*sqrt(2430))/sqrt(10)). -2 + 18*sqrt(3) Simplify sqrt(833) + -1*-1*sqrt(833) + sqrt(833) - sqrt(833). 14*sqrt(17) Simplify (2 + sqrt(363)*1 + sqrt(363) + sqrt(363) + (sqrt(363) - (sqrt(363) + (sqrt(363) + (1*sqrt(363) - sqrt(363)))*3) - sqrt(363)))**2. -44*sqrt(3) + 367 Simplify sqrt(171)/(6*sqrt(9)*3). sqrt(19)/18 Simplify -2 + 6*-3*-2*sqrt(99). -2 + 108*sqrt(11) Simplify ((-3 + sqrt(5)*2 + sqrt(5) + 2)**2 + -4)*-2. -84 + 12*sqrt(5) Simplify -5 + (sqrt(65) - (sqrt(65)*3*-3 + sqrt(65)))/sqrt(5). -5 + 9*sqrt(13) Simplify 4 + (-1*sqrt(5)*-6)**2. 184 Simplify (-3*sqrt(468) + sqrt(468) + 5 + 3)**2. -192*sqrt(13) + 1936 Simplify 3*((sqrt(847) - -4*sqrt(847))**2 - sqrt(847)) + 5. -33*sqrt(7) + 63530 Simplify (2 + (sqrt(2) - -3*sqrt(2)) - (sqrt(2) + sqrt(32)*1))*2. -2*sqrt(2) + 4 Simplify 1 + sqrt(17)*-3 - (sqrt(17) + (sqrt(2057)*-2)**2). -8227 - 4*sqrt(17) Simplify -6*sqrt(208). -24*sqrt(13) Simplify -4 + 5 + sqrt(1088) - sqrt(1088). 1 Simplify sqrt(6)/(5*sqrt(108))*-1. -sqrt(2)/30 Simplify (5*sqrt(567)*-2*1)**2. 56700 Simplify (sqrt(325) + (sqrt(325) - (sqrt(325)*-1 + 1 + sqrt(325))) - sqrt(325))**2 - (1 + sqrt(325))*1. -15*sqrt(13) + 325 Simplify 3 + (sqrt(180) - sqrt(180)*2) + -1 + sqrt(180). 2 Simplify (sqrt(567)*-1 - (-1 + sqrt(7) + -5))**2*3. -360*sqrt(7) + 2208 Simplify (sqrt(448) - -4*(0 + sqrt(448))) + sqrt(448) + 4. 4 + 48*sqrt(7) Simplify 1 + (sqrt(704) - sqrt(44))/sqrt(4) + sqrt(11). 1 + 4*sqrt(11) Simplify (-4*(3 + sqrt(2)) - sqrt(10)/(-2*sqrt(5)))**2. 84*sqrt(2) + 337/2 Simplify sqrt(1573)*3*4 + 5. 5 + 132*sqrt(13) Simplify 0 + ((sqrt(21) + sqrt(84))*2)/sqrt(3). 6*sqrt(7) Simplify ((sqrt(14) + sqrt(56)/sqrt(4))*1)/(sqrt(7) + 2*sqrt(567) + sqrt(7) - sqrt(7)). 2*sqrt(2)/19 Simplify (-3*sqrt(11) + sqrt(11))**2 + sqrt(11) + -5 - (5 + (sqrt(121)/sqrt(11) - sqrt(11))). sqrt(11) + 34 Simplify sqrt(102)/(sqrt(726) + (sqrt(726) + -2*sqrt(726) - sqrt(726)) + sqrt(726) - sqrt(726)) + (3 + sqrt(17) + 0)*2. 6 + 21*sqrt(17)/11 Simplify (sqrt(550)/sqrt(10))/sqrt(11) - ((sqrt(405) - sqrt(5))**2 + -5). -315 + sqrt(5) Simplify (-4*(sqrt(11) - (sqrt(11) + 1 + -5)))**2*1 + 4. 260 Simplify -1 + sqrt(128)*2. -1 + 16*sqrt(2) Simplify (6*(sqrt(7) - (4*sqrt(14)/sqrt(2) + sqrt(7))))**2. 4032 Simplify (sqrt(119) - 2*(sqrt(119)*-2 - sqrt(119)))/(5*sqrt(7)*2). 7*sqrt(17)/10 Simplify (sqrt(156) + (sqrt(156) - (sqrt(156) + ((sqrt(156) - (sqrt(156) - sqrt(156)*2))*-5 - sqrt(156)))) - sqrt(156))/(sqrt(972) + sqrt(972)*1 - sqrt(972)). 11*sqrt(13)/9 Simplify (2*sqrt(98))**2 + ((sqrt(18) - (sqrt(18)*1 - sqrt(18)))/sqrt(9))**2. 394 Simplify (sqrt(1125)/sqrt(5))/(-5*1*sqrt(3) - sqrt(3)). -5*sqrt(3)/6 Simplify sqrt(38)/(sqrt(6)/sqrt(3)) + sqrt(171)*6. 19*sqrt(19) Simplify (6*sqrt(220)/sqrt(4))/(sqrt(891) - (sqrt(891) - (sqrt(891)*2 + sqrt(891)))). 2*sqrt(5)/9 Simplify sqrt(35)/(3*sqrt(20))*5*-3. -5*sqrt(7)/2 Simplify (sqrt(85)/(sqrt(5) + sqrt(5)*-2)*5)**2. 425 Simplify (sqrt(208)*-5)**2 + sqrt(13) + sqrt(39)/(sqrt(9)/sqrt(3)). 2*sqrt(13) + 5200 Simplify 0 + (1*sqrt(44))**2. 44 Simplify ((sqrt(208) + sqrt(52))*4)/sqrt(4). 12*sqrt(13) Simplify (sqrt(1872)*-1*2)**2. 7488 Simplify ((2 + sqrt(833))**2 + sqrt(17) - ((1 + sqrt(68) - sqrt(68)) + sqrt(17))**2) + -5. 27*sqrt(17) + 814 Simplify (sqrt(175) + (1 + 2*sqrt(175) - sqrt(175)) - (6*(2*sqrt(42) + sqrt(42)))/sqrt(6))**2. -16*sqrt(7) + 449 Simplify (sqrt(77)/(sqrt(11) - (sqrt(44)/sqrt(4) + sqrt(11))))**2*6. 42 Simplify ((2*(2*sqrt(102) + sqrt(102)) - sqrt(102))/(-1*sqrt(96)))**2. 425/16 Simplify ((sqrt(153)*6 - sqrt(153))*4)/sqrt(9) + 4. 4 + 20*sqrt(17) Simplify (sqrt(12))**2 + -5 - (sqrt(192)*2 + sqrt(192)). -24*sqrt(3) + 7 Simplify -1*(2*sqrt(300))**2*6*6. -43200 Simplify (6*sqrt(220) - sqrt(55))/(-4*-2*sqrt(5)). 11*sqrt(11)/8 Simplify 1 + sqrt(720) + sqrt(720) + (sqrt(720) + (5 + sqrt(720) + 1*sqrt(720) + sqrt(720))**2 - sqrt(720)). 384*sqrt(5) + 6506 Simplify (3*(-2*sqrt(396) + sqrt(396) + -5 + 2))**2. 324*sqrt(11) + 3645 Simplify 5 + sqrt(304) + 1 + 6*1*sqrt(19). 6 + 10*sqrt(19) Simplify (0 + sqrt(19)*-1 + (1*sqrt(475) - sqrt(19)))**2. 171 Simplify sqrt(33)/(sqrt(21)/sqrt(112)). 4*sqrt(11) Simplify sqrt(57)/(sqrt(27)/(sqrt(18)/sqrt(2))) - (sqrt(684)*-1 + -5)**2. -709 - 59*sqrt(19) Simplify ((sqrt(7) - ((sqrt(7) - sqrt(252)/sqrt(4)) + sqrt(7)) - sqrt(7)) + -3)**2. -6*sqrt(7) + 16 Simplify (-1*((sqrt(125) + 2 - sqrt(125)) + sqrt(125) + sqrt(125)))**2. 40*sqrt(5) + 504 Simplify sqrt(119)/(sqrt(84)/(sqrt(12)*-4))*-6. 24*sqrt(17) Simplify (3 + (sqrt(3) - sqrt(30)/(sqrt(40)/sqrt(4))) - (1 + -3 + sqrt(27)))**2. -30*sqrt(3) + 52 Simplify (sqrt(1331) + (-1*((sqrt(1331) - 2*sqrt(1331)) + sqrt(1331)) - sqrt(1331)))**2. 0 Simplify ((-2 + sqrt(76)/sqrt(4))**2 + -5)*-3. -54 + 12*sqrt(19) Simplify ((sqrt(288)*-1)/sqrt(9))/(sqrt(196)*2). -sqrt(2)/7 Simplify sqrt(539) + (1*sqrt(539))**2*-5 - (sqrt(176) + 2)*6. -2707 - 17*sqrt(11) Simplify (sqrt(704) - (-3 + 1 + sqrt(704)) - sqrt(704))**2. -32*sqrt(11) + 708 Simplify (sqrt(42)/sqrt(2) + sqrt(21))/sqrt(7) + (sqrt(108)*-4)**2. 2*sqrt(3) + 1728 Simplify ((-1*sqrt(98) - sqrt(98)) + 3 + sqrt(98) + 5)**2. -112*sqrt(2) + 162 Simplify sqrt(162)*-2 + -1 + 1*(sqrt(162) + -1). -9*sqrt(2) - 2 Simplify (-2*(-2*sqrt(117) - sqrt(117)))/((sqrt(9)*-2 - sqrt(9) - sqrt(9))*3). -sqrt(13)/2 Simplify (3*((sqrt(7) - (sqrt(35)/sqrt(5) + 0)) + 0))**2. 0 Simplify (sqrt(63) + sqrt(315)/(sqrt(10)/sqrt(2)))/(((sqrt(18)/sqrt(2) + sqrt(9) - sqrt(9)) + sqrt(9))*-5). -sqrt(7)/5 Simplify -2 + (-5*(sqrt(7) + sqrt(28)))**2. 1573 Simplify (sqrt(16)/(sqrt(32)/sqrt(4)) - sqrt(2)) + -1. -1 Simplify (5*sqrt(882)*4 - sqrt(882)) + sqrt(882). 420*sqrt(2) Simplify (sqrt(7) - sqrt(343)*2)**2*-4 + (sqrt(7)*-2*2)**2 + 1. -4619 Simplify 2*(-5 + sqrt(76)*6 + 0). -10 + 24*sqrt(19) Simplify (sqrt(104) - 4*-2*sqrt(104) - sqrt(104))/sqrt(8). 8*sqrt(13) Simplify ((sqrt(208) - (4 + sqrt(208))) + 1)**2. 9 Simplify sqrt(170)/(sqrt(360)*-2 + sqrt(10)). -sqrt(17)/11 Simplify 1 + (3*(2 + sqrt(1100)))**2. 360*sqrt(11) + 9937 Simplify (2 + sqrt(12) + ((sqrt(12) - (-2 + sqrt(12)) - sqrt(12)) + sqrt(12))**2 + 1)*-2. -14 - 4*sqrt(3) Simplify 6*(-6*sqrt(50) - sqrt(2)). -186*sqrt(2) Simplify 3 + 4*-3*(sqrt(19) - (sqrt(19) + sqrt(19) + sqrt(76)/sqrt(4))). 3 + 24*sqrt(19) Simplify -5*(sqrt(99)/(sqrt(18)/sqrt(2)) + 5). -25 - 5*sqrt(11) Simplify sqrt(315)/sqrt(7) + (sqrt(55)/sqrt(44))**2. 5/4 + 3*sqrt(5) Simplify -6*((-2*sqrt(121) + sqrt(121))*3)/sqrt(11). 18*sqrt(11) Simplify -3 + (((sqrt(171)/sqrt(3))/sqrt(3) - sqrt(19))*3)**2. -3 Simplify (1 + -4 + 2*sqrt(68))**2. -24*sqrt(17) + 281 Simplify (1 + sqrt(243))**2 + 2. 18*sqrt(3) + 246 Simplify (4*-5*sqrt(612)*1)**2 + -4. 244796 Simplify 2*(sqrt(11) + 0 +
{ "pile_set_name": "DM Mathematics" }
lify ((o*(o*o*o/o**1*o*o)/o)**(9/2))**(12/13)/((o/o**(2/5))**(5/2))**(3/13) assuming o is positive. o**(423/26) Simplify ((n**(-1/3))**(-22)/(n/n**(-6)*n**(7/4)*n))/((n/((n*n**(-3))/n)*n*n*n/n**(-1/7))/(n**(-2/19)/n*n**(3/2))) assuming n is positive. n**(-14627/1596) Simplify ((q*q**(-2/5))**15*q**(-3/5)/((q*q/(q/(q*q*q**(-3/4)*q)))/q*q))/((((q*(q**(1/9)/q)/q)/q)/(q**0*q))/(q/(q/(q/q**(-1))))**36) assuming q is positive. q**(14407/180) Simplify ((d/d**(-2/9))**39)**13*((d*d**4)/(d*d**(1/8)))/(d**2/d**3) assuming d is positive. d**(14989/24) Simplify (g**(-5)/g**(-1/4)*(g*g**8*g)/g**(-7))/((g**(-2/11)/g**(-9))/(g/g**1*g**(-1/2))) assuming g is positive. g**(129/44) Simplify (((t*(t**(7/3)/t)/t*t*t/(t*t**9/t))/(t**(-5/4)*t*t/((((t/t**2)/t)/t)/t)))**(-25))**(2/79) assuming t is positive. t**(3125/474) Simplify ((n**22/(n*n/(n*n**18)))/(n**(-1/4)*n**(-1/7)))**(2/11) assuming n is positive. n**(1103/154) Simplify (h**(-2)/h**8)**6*((h*h*h/h**(2/7))**(-4/3))**(17/2) assuming h is positive. h**(-1906/21) Simplify ((g/g**(-1/6))**(-42))**13/((g/g**1)**(2/15)/((g**(6/5)*g)/(g*g*g**(8/5)))) assuming g is positive. g**(-3192/5) Simplify ((f**2)**(-14/15))**(-5/7)*(f*f/(f*((f**(-13)*f)/f)/f)*f*(f/f**(-5/4))/f)**(41/2) assuming f is positive. f**(8519/24) Simplify ((g/(g*g*g**12/g)*g*g/g**14)/((g/(g/g**10*g*g))/(g*g/(g/((g/(g**11/g)*g)/g)))))**25 assuming g is positive. g**(-1000) Simplify ((((y/y**(-2/9)*y)/y)/((y/y**(-7))/y))/(y**(2/9)/y*y*y/(y*y*y**(-2))*y))/((y**(-1/3)*y*y**(1/2))/(y**(-2/9)*y*y**(-2/3))) assuming y is positive. y**(-163/18) Simplify (((u**3*u)/u)/u**(-1/3))/((u*u**(-1/2)*u*u)/(u*u**(-4)*u*u*u))*(u*u**(-5/4)*u*(u/(u*u/u**(-6)*u)*u)/u*u)**6 assuming u is positive. u**(-110/3) Simplify (b**44*((b/(b*b**(-1/12)/b*b))/b)/b*b**30/(b*b*b/b**(-29)))**(-37) assuming b is positive. b**(-17797/12) Simplify g**15*g**(-1/16)*g**(-6/5)/(g/((g**29*g)/g)) assuming g is positive. g**(3339/80) Simplify ((u**(-6/7)/u**(-3)*((u**5/u)/u*u)/u*u*u*(u/u**(-2))/u)**(-1/5))**23 assuming u is positive. u**(-1472/35) Simplify l/(l/l**(-6))*l/(l*l**6*l*l)*l**3*l*l**(-6)*l**(1/5)/l**5*l*((l/((l*l**4)/l))/l)/l*l*l**(-3) assuming l is positive. l**(-134/5) Simplify (v/(v**1*v))**(12/11)*v/(v**6/v)*v*v*v/v**6*v*(v**(-2/3)/v*v**2/v)**(-4/11) assuming v is positive. v**(-226/33) Simplify (p/(p*p*p**(4/23)*p))/(p*p*p/(p/(p/(p*p**0)))*p)*p**0*(p**2/p)/p assuming p is positive. p**(-119/23) Simplify ((b*b**(2/3)*b/(b/(b**(-3)/b))*(b/((b*b**(-3))/b))/b**(-2/9))**38)**(-36) assuming b is positive. b**(-2584) Simplify (((n*n**(-1/3))/(n*n**(7/3))*n**6/((n**(-1/14)/n)/n))**(-10))**25 assuming n is positive. n**(-28375/21) Simplify ((o*o/((o**(-4/7)/o*o)/o))/(o/(o/(o**0*o)*o)))/(o*(o**(-1/4)*o*o)/o*o*o)**(-2)*(o**(-4/11)*(o**(-4/3)*o)/o)**(1/11) assuming o is positive. o**(55481/5082) Simplify (m**(-4)/m**(-4/5))/(m**0*m/(m*((m*m*m/(m/(m/(m**0*m))))/m)/m*m))*(((m/(m/m**0))/m)**(19/2))**(5/13) assuming m is positive. m**(-761/130) Simplify ((s*(s*s**(-8))/s)/(s**(-4/13)*s))**11*((s**(1/7))**(-1/74))**41 assuming s is positive. s**(-570333/6734) Simplify (((f**(1/5)/f**(1/8))/(f**0)**(-4/13))**(-41))**4 assuming f is positive. f**(-123/10) Simplify ((u**(-7)*u/(u*u**11)*u)/((u*u*(u*u**0)/u)/u**11))**(-15) assuming u is positive. u**120 Simplify (p**(5/8)/p*p*p**25*p*(((p*p/p**(-2/45))/p)/p)/p*p*p*p/((p/(p**(-1/34)*p*p))/p*p)*p)**(-3/8) assuming p is positive. p**(-187517/16320) Simplify (n**(-2/9)*n**(2/5))**(-4/23)/((n*n**(2/5)/n)/(n/n**(-4/5))*((n**(3/11)*n)/n)/(n/(n**6/n))) assuming n is positive. n**(-33058/11385) Simplify (h*h**7*h**(2/25))/(h**(2/3)*h**5)*(h**1)**(-35)*h**(2/11)*h*h*h/h**(-4) assuming h is positive. h**(-20959/825) Simplify (((h/h**17)/h*h*h**(1/20))/(h**27)**(-8))**(-22) assuming h is positive. h**(-44011/10) Simplify (m*m**4*m/((m**(-9)/m)/m)*m)/((m/(m**(-2/7)*m))/m**(-1/4))*(m/(m*m/(m/(m**(3/4)*m*m*m))))/(m/m**(-1/10))*m**(-7)/m**(5/4) assuming m is positive. m**(611/140) Simplify ((s**(5/11)/s)**(-4/5)/((s**(-5/9)/s)/s*s*((s/s**(-8))/s)/s*s*s))**21 assuming s is positive. s**(-24283/165) Simplify (f**(7/4)/(f/(f**(-4/5)/f*f))*(f**(-2/15)*f)**(3/14))**(-1/59) assuming f is positive. f**(-19/8260) Simplify (h*h**(-2/5))**(-2/23)/(h/(h**5/h)*h*h/(h*h/((h/h**(-2/13))/h)*h*h))*(h**8/h**5)/(h*h**(1/3))**(2/129) assuming h is positive. h**(4497364/578565) Simplify (r/r**0)**(-3/13)/(r**(-2/3)*r*r)**(5/13)*(r**(-3)*r*(r**0*r)/r)/(r**(-2)/r*r*r*r**4) assuming r is positive. r**(-224/39) Simplify (((l/l**(-10))/l)**(-4/3)*l**(3/4)/(l**14/l*l))**(2/7) assuming l is positive. l**(-319/42) Simplify ((j**(12/11)/j**(-15))/((j*j**17)/j**(-12)))**47 assuming j is positive. j**(-7191/11) Simplify u**8*u*u*u/u**(4/9)*u*u*u**7*u**(-6)*(u**2*u*u*u/u**(3/8)*u)/(u*u*u/(u/(u**2*u)))**(-7/3) assuming u is positive. u**(2221/72) Simplify (((k*k**(2/3)/k)**(-3/4)/(k**(-1/4)/k)**(-6/17))**47)**42 assuming k is positive. k**(-31584/17) Simplify ((a/(a**12/a)*a*(a*a**6)/a*a)/(a/(a/(a*a**1)))**(-16))**2 assuming a is positive. a**60 Simplify o**(4/13)/(o*o*o**(-1/13)/o*o*o)*o**(-23)*o**26 assuming o is positive. o**(5/13) Simplify (((p*(p/(p*p**(-31)))/p)/(p/p**28))/((p*p*p/(p/(p*p**32))*p)/((p/p**(22/5))/p)))**(-2/5) assuming p is positive. p**(-176/25) Simplify ((((y**(-6)/y)/y)/y)/y**(-17)*(y*y*y/((y/(y**3*y))/y))**(-37))**(-4) assuming y is positive. y**1004 Simplify ((k*k**(-1)/k)**(-25/3))**(1/5)*(k**(-2/3)/((k/k**12)/k))**(-2/143) assuming k is positive. k**(647/429) Simplify (t/(t/(t*t/(t/(t**(7/4)/t)*t*t)))*t**(-2/5)*(t/(t**25*t)*t)/(((t/(t*t**(-14)*t*t))/t)/t))**(-2/7) assuming t is positive. t**(99/10) Simplify ((c/c**7*c)/(c/(c**(-2)/c)*c))/(c**(-5)*c*c/((c**(3/2)/c*c)/c))*(c**4*c**(2/5))**(-42) assuming c is positive. c**(-1913/10) Simplify (v**25)**32/(v**(-30)*(v**(-6)*v)/v) assuming v is positive. v**836 Simplify ((j*j**(2/35))**8*j*(j**33/j)/j*j*j**(-2/23))**(6/7) assuming j is positive. j**(199818/5635) Simplify (r**(-1/13)*r*r*r*r**(-6))/(r*r/(r*r/r**(-1/2)))**4*((r*(r**(-6/11)/r)/r)/r**(2/13))/(r**(-2/15)*r*r*r*r**(-6)) assuming r is positive. r**(766/2145) Simplify (t**(-3)/t*t/(t*t/(t*t*t**(-3/2))))**34*((t/t**(-5))/(t**(2/5)/t))/(t/(t*t**(-1)))**9 assuming t is positive. t**(-777/5) Simplify (((s**(1/56))**(-3))**20)**(2/37) assuming s is positive. s**(-15/259) Simplify (q**(-14)/q)**(-1)/(q/(q*q**(-16/3))*q*q/(q**(-4/27)*q)) assuming q is positive. q**(230/27) Simplify ((((h*h**1*h)**(17/6))**7)**2)**(2/7) assuming h is positive. h**34 Simplify (((q**(-1/11)/q*q**(-2/15))**(-4))**7)**(-48) assuming q is positive. q**(-90496/55) Simplify ((x/(x/(x/(x/x**(-1/4)))*x*x))**(-38)*(x*x**(5/14))**39)**(-30) assuming x is positive. x**(-29070/7) Simplify ((((o/(o*o**0))/o)**(2/83)/(o/(o**0/o))**(-8))**(4/7))**46 assuming o is positive. o**(243984/581) Simplify ((z/z**(-15))/((z/z**(-14))/z))**18/(((z*z*z**1)/z)/(z*z*z/(z*z**9*z))*(z/(z*z/(z*z**(-9)*z)))/z*z/(z*z*z**(-8/3)/z)) assuming z is positive. z**(97/3) Simplify (r**(1/3)*r)**(-14)*(r*r**1)**(8/5)*((r*r/(r*r**(2/17)*r*r)*r)/r**6)/(r**(3/5)*r**(1/3)) assuming r is positive. r**(-1914/85) Simplify (c**(-34)*c/(c/(c**(-3/10)*c))*c**(2/51)*(c**(-32)/c)/c)**(-13/3) assuming c is positive. c**(445939/1530) Simplify ((t**(1/4)*t*t)/t**(-4))**11*t**(2/23)/((t/((t/(t**(1/5)*t))/t))/t)*((t*t**0)/t)/t**(-1/5) assuming t is positive. t**(6241/92) Simplify (((y/y**(-1))**8)**(-2/11))**(-2) assuming y is positive. y**(64/11) Simplify ((b/b**(-11)*b/b**(2/3))/(b*b**(-8)*(b**(-5/2)/b)/b))**(-33) assuming b is positive. b**(-1573/2) Simplify (c**(-14))**(-2/31)/(c**(-43)/(c/c**(1/4))) assuming c is positive. c**(5537/124) Simplify (((i*i**(1/3)*i)/i)/(i*i**5/i))/(i/i**0)**6*(i**(1/3))**(16/7)*i**(-7)/i*i**6 assuming i is positive. i**(-229/21) Simplify g**(3/26)/g*g/(g*g**(-43)*g)*(g/(g**(-30)*g))/g*g*g**(-14)*g assuming g is positive. g**(1511/26) Simplify (((y**(-14)/y)**(32/3))**49)**25 assuming y is positive. y**(-196000) Simplify ((((q/(q*q**5)*q)/q*q)/(((q*q**8/q)/q)/q))/(q*q**(-2/9)/q)**(-34))/((q**(-2/9)*q*q)/q**(2/9)*q*q**(5/2)*q*q**(-1/13)) assuming q is positive. q**(-5507/234) Simplify ((k*k*k**(-10/9)*k*k**(-3/19))**5)**(-39) assuming k is positive. k**(-19240/57) Simplify (b/(b/(b*(b/(b*b**7*b)*b)/b))*b**(-1/
{ "pile_set_name": "DM Mathematics" }
tes after 7:48 AM? 2:15 PM What is 111 minutes after 8:20 PM? 10:11 PM How many minutes are there between 9:51 AM and 8:03 PM? 612 What is 530 minutes before 2:04 PM? 5:14 AM How many minutes are there between 7:54 AM and 9:44 AM? 110 How many minutes are there between 11:59 AM and 6:38 PM? 399 What is 539 minutes before 9:35 AM? 12:36 AM What is 14 minutes after 2:26 PM? 2:40 PM What is 171 minutes before 3:27 AM? 12:36 AM How many minutes are there between 12:10 AM and 2:35 AM? 145 What is 238 minutes before 9:22 AM? 5:24 AM What is 211 minutes before 6:44 PM? 3:13 PM How many minutes are there between 3:36 PM and 4:18 PM? 42 What is 705 minutes after 8:18 PM? 8:03 AM What is 331 minutes after 3:06 AM? 8:37 AM What is 236 minutes after 6:04 AM? 10:00 AM What is 559 minutes after 10:19 AM? 7:38 PM What is 104 minutes before 4:11 PM? 2:27 PM What is 419 minutes after 12:59 AM? 7:58 AM How many minutes are there between 6:22 AM and 7:14 AM? 52 How many minutes are there between 6:22 AM and 7:16 AM? 54 How many minutes are there between 7:40 AM and 4:14 PM? 514 How many minutes are there between 12:05 PM and 3:34 PM? 209 What is 56 minutes after 11:33 AM? 12:29 PM How many minutes are there between 11:37 AM and 2:17 PM? 160 What is 424 minutes after 8:14 PM? 3:18 AM How many minutes are there between 11:22 PM and 8:38 AM? 556 What is 115 minutes after 9:12 AM? 11:07 AM How many minutes are there between 9:02 PM and 7:12 AM? 610 What is 459 minutes after 7:51 AM? 3:30 PM How many minutes are there between 5:02 PM and 1:14 AM? 492 What is 104 minutes before 11:42 PM? 9:58 PM What is 526 minutes after 8:36 AM? 5:22 PM What is 700 minutes before 10:32 PM? 10:52 AM How many minutes are there between 11:54 PM and 4:06 AM? 252 What is 167 minutes before 12:06 AM? 9:19 PM What is 128 minutes before 11:15 AM? 9:07 AM How many minutes are there between 3:28 PM and 8:41 PM? 313 How many minutes are there between 8:21 PM and 10:11 PM? 110 What is 581 minutes before 10:16 PM? 12:35 PM How many minutes are there between 2:12 PM and 11:04 PM? 532 How many minutes are there between 8:27 AM and 5:07 PM? 520 What is 480 minutes before 1:30 AM? 5:30 PM What is 53 minutes after 7:27 AM? 8:20 AM What is 127 minutes after 3:07 AM? 5:14 AM How many minutes are there between 10:24 AM and 9:33 PM? 669 What is 359 minutes after 6:17 AM? 12:16 PM What is 38 minutes after 9:32 AM? 10:10 AM What is 620 minutes after 9:42 PM? 8:02 AM How many minutes are there between 8:52 PM and 11:58 PM? 186 How many minutes are there between 8:07 AM and 6:19 PM? 612 How many minutes are there between 3:18 PM and 6:41 PM? 203 How many minutes are there between 9:23 PM and 9:02 AM? 699 How many minutes are there between 6:19 AM and 3:52 PM? 573 How many minutes are there between 8:19 PM and 8:25 PM? 6 What is 448 minutes before 4:13 AM? 8:45 PM What is 543 minutes after 1:07 PM? 10:10 PM What is 360 minutes after 12:40 AM? 6:40 AM What is 646 minutes after 8:42 AM? 7:28 PM What is 67 minutes after 8:53 AM? 10:00 AM What is 675 minutes after 3:09 PM? 2:24 AM How many minutes are there between 5:12 PM and 2:21 AM? 549 How many minutes are there between 10:28 PM and 10:11 AM? 703 What is 254 minutes before 2:34 AM? 10:20 PM What is 610 minutes before 2:43 PM? 4:33 AM How many minutes are there between 2:44 AM and 1:31 PM? 647 How many minutes are there between 3:13 PM and 8:35 PM? 322 What is 121 minutes after 10:11 PM? 12:12 AM What is 181 minutes before 3:32 PM? 12:31 PM What is 719 minutes before 11:50 AM? 11:51 PM What is 128 minutes after 3:17 PM? 5:25 PM What is 175 minutes after 6:49 PM? 9:44 PM What is 165 minutes after 6:26 AM? 9:11 AM What is 546 minutes after 10:53 AM? 7:59 PM What is 573 minutes before 12:19 PM? 2:46 AM What is 453 minutes after 7:43 AM? 3:16 PM What is 149 minutes before 8:30 AM? 6:01 AM How many minutes are there between 2:05 AM and 4:57 AM? 172 How many minutes are there between 11:25 AM and 1:26 PM? 121 How many minutes are there between 1:18 AM and 7:17 AM? 359 What is 82 minutes before 7:12 PM? 5:50 PM What is 385 minutes before 8:20 PM? 1:55 PM What is 410 minutes after 8:56 PM? 3:46 AM What is 9 minutes before 8:40 AM? 8:31 AM How many minutes are there between 10:55 PM and 1:16 AM? 141 How many minutes are there between 11:18 AM and 6:14 PM? 416 What is 137 minutes before 2:37 AM? 12:20 AM How many minutes are there between 8:03 PM and 8:23 PM? 20 How many minutes are there between 9:44 AM and 4:53 PM? 429 What is 292 minutes before 10:57 AM? 6:05 AM How many minutes are there between 1:43 PM and 12:50 AM? 667 How many minutes are there between 8:35 PM and 3:39 AM? 424 How many minutes are there between 5:25 AM and 12:26 PM? 421 How many minutes are there between 7:56 AM and 6:06 PM? 610 How many minutes are there between 6:49 PM and 1:03 AM? 374 What is 578 minutes before 12:46 PM? 3:08 AM How many minutes are there between 7:49 AM and 8:56 AM? 67 How many minutes are there between 9:23 PM and 3:54 AM? 391 How many minutes are there between 9:46 AM and 7:18 PM? 572 What is 67 minutes after 10:58 AM? 12:05 PM What is 429 minutes before 9:44 PM? 2:35 PM What is 404 minutes after 7:47 AM? 2:31 PM What is 416 minutes before 3:29 AM? 8:33 PM How many minutes are there between 7:51 AM and 5:43 PM? 592 How many minutes are there between 5:52 PM and 10:54 PM? 302 How many minutes are there between 2:57 AM and 6:40 AM? 223 How many minutes are there between 2:07 PM and 12:53 AM? 646 How many minutes are there between 10:57 PM and 5:41 AM? 404 How many minutes are there between 9:26 AM and 1:09 PM? 223 What is 249 minutes before 7:04 PM? 2:55 PM How many minutes are there between 4:29 AM and 6:58 AM? 149 How many minutes are there between 12:05 PM and 5:25 PM? 320 How many minutes are there between 4:02 PM and 4:42 PM? 40 What is 401 minutes after 2:53 PM? 9:34 PM How many minutes are there between 11:39 AM and 8:01 PM? 502 How many minutes are there between 7:46 AM and 9:43 AM? 117 What is 559 minutes after 6:59 AM? 4:18 PM How many minutes are there between 10:17 PM and 1:31 AM? 194 How many minutes are there between 9:12 AM and 11:22 AM? 130 What is 402 minutes before 5:40 AM? 10:58 PM How many minutes are there between 1:23 PM and 6:38 PM? 315 What is 295 minutes before 11:13 PM? 6:18 PM What is 445 minutes after 7:15 AM? 2:40 PM How many minutes are there between 10:22 AM and 1:14 PM? 172 How many minutes are there between 5:14 PM and 7:09 PM? 115 What is 367 minutes after 10:11 AM? 4:18 PM What is 549 minutes before 5:23 PM? 8:14 AM What is 359 minutes after 10:05 PM? 4:04 AM What is 154 minutes before 12:58 AM? 10:24 PM How many minutes are there between 4:36 AM and 1:21 PM? 525 How many minutes are there between 12:34 AM and 7:58 AM? 444 How many minutes are there between 7:56 AM and 7:18 PM? 682 How many minutes are there between 2:23 AM and 7:15 AM? 292 How many minutes are there between 10:54 PM and 4:38 AM? 344 What is 611 minutes before 11:40 AM? 1:29 AM How many minutes are there between 10:56 AM and 6:48 PM? 472 How many minutes are there between 7:49 PM and 12:51 AM? 302 How many minutes are there between 11:04 PM and 2:19 AM? 195 What is 309 minutes after 3:15 PM? 8:24 PM What is 354 minutes after 3:02 AM? 8:56 AM How many minutes are there between 7:35 PM and 1:17 AM? 342 What is 60 minutes after 5:39 PM? 6:39 PM What is 644 minutes after 9:04 AM? 7:48 PM How many minutes are there between 6:52 AM and 10:14 AM? 202 How many minutes are there between 8:04 AM and 3:29 PM? 445 How many minutes are there between 8:16 PM and 1:11 AM? 295 How many minutes are there between 4:12 PM and 5:28 PM? 76 What is 274 minutes before 9:19 PM? 4:45 PM What is 142 minutes after 12:26 PM? 2:48 PM What is 706 minutes before 3:46 PM? 4:00 AM What is 295 minutes before 6:51 AM? 1:56 AM What is 387 minutes before 3:04 AM? 8:37 PM How many minutes are there between 5:08 PM and 4:10 AM? 662 What is 360 minutes after 11:51 PM? 5:51 AM What is 644 minutes before 7:50 AM? 9:06 PM How many minutes are there between 3:29 AM and 5:35 AM? 126 How many minutes are there between 3:10 PM and 9:48 PM? 398 How many minutes are there between 9:54 PM and 7:32 AM? 578 How many minut
{ "pile_set_name": "DM Mathematics" }
*m**2 + 5*m - 1 Let g(f) = 15*f**3 - 2*f + 9. Let p(s) = 2*s**3 + 5*s**3 + 4 + 0*s**3 - s. Calculate 4*g(r) - 9*p(r). -3*r**3 + r Let g(a) = -1. Let j = -14 - -16. Let h(w) = -w**2 + 2*w - 3. Calculate j*g(x) - h(x). x**2 - 2*x + 1 Let v = -304 + 299. Let d(r) = 5 + 5*r - 2*r - r. Let j(z) = z + 3. Calculate v*j(b) + 3*d(b). b Let h(z) = 7*z + 5. Let s(v) = 28*v + 21. Give 21*h(k) - 5*s(k). 7*k Let b(w) be the first derivative of -2*w**3/3 - 9*w**2/2 - w - 77. Let s(h) = 2*h**2 + 8*h + 1. Suppose -4 = 3*l - 22. Calculate l*b(u) + 7*s(u). 2*u**2 + 2*u + 1 Let z(i) = 3*i**3 - i**2. Suppose -12 = a - 13*a. Let j(u) = u**3 - u**2 - 1. Give a*z(d) - j(d). 2*d**3 + 1 Let m(l) = 2*l**2 - 4*l + 5. Let y(o) = 4*o**2 - 7*o + 9. Let x(b) = b**3 - 8*b**2 + 9*b + 14. Let z be x(6). Give z*y(k) + 7*m(k). -2*k**2 - 1 Let t(x) be the third derivative of 3*x**5/20 - x**4/4 - 4*x**3/3 - 31*x**2. Let j(k) = 13*k + 15 - 6 + 8 - 19*k**2. Determine -6*j(l) - 13*t(l). -3*l**2 + 2 Let p(u) = 4*u**3 - u**2 - 2*u + 2. Let s(i) = -5*i**3 + i**2 + 3*i - 2. Give -4*p(z) - 3*s(z). -z**3 + z**2 - z - 2 Let o(l) = -3*l**2 - 2*l + 1. Let i(d) = 7*d**2 + 5*d - 3. Let r = 22 + -20. Determine r*i(w) + 5*o(w). -w**2 - 1 Let q(x) = x**3 + 3*x**2 + 3*x. Let c(j) = j**3 + 14*j**2 + 17*j + 18. Let y be c(-13). Let l(h) = 5*h**3 + 17*h**2 + 17*h. Calculate y*q(m) + 6*l(m). -4*m**3 Let t(o) = -o**3 - 5*o**2 + 2*o + 5. Let x(h) = -h - 2. Let a be x(-5). Let v(k) = -k + k**3 - 3 + 3*k**2 - 2 + 2. Determine a*t(b) + 5*v(b). 2*b**3 + b Let g(f) be the second derivative of f**5/20 - f**3/2 - 3*f**2/2 + f. Let a(y) = 42*y - 2 - 43*y + 1. Determine 3*a(q) - g(q). -q**3 Let b(u) = 6*u - 4. Let r(x) = -1. Let w(g) = b(g) - 2*r(g). Let j(n) = -3*n + 1. Give 7*j(o) + 4*w(o). 3*o - 1 Let f(y) = -22*y**2 + 2*y. Let c(n) = 44*n**2 - 5*n. Determine -2*c(t) - 5*f(t). 22*t**2 Let z(h) = -11*h**2 + 4*h + 5. Let t(f) = -2*f**2 + 1. Calculate 3*t(o) - z(o). 5*o**2 - 4*o - 2 Let w = -3 + 7. Let j(g) = -2*g + 6*g**3 + 4*g**2 - g - g - w. Let d(i) = 7*i**3 + 5*i**2 - 5*i - 5. Calculate -4*d(o) + 5*j(o). 2*o**3 Let v(a) = -3*a**2 + 5*a - 5. Let t(o) = 8*o**2 - 14*o + 14. Determine -5*t(n) - 14*v(n). 2*n**2 Suppose 2*s + 4*g - 18 = 0, s + 3*g + 3 - 13 = 0. Let r(t) = 5*t. Let x(c) = 2*c + 9. Let j be x(-6). Let y(o) = 11*o. Calculate j*y(d) + s*r(d). 2*d Let p(c) be the second derivative of -c**2/2 - 7*c. Let q(v) = -v**2 + v - 2. Calculate 4*p(l) - q(l). l**2 - l - 2 Let b(y) = -6*y. Let d be -2*(-5 + 3)/4. Let k be 3/(-6)*2*d. Let o be ((-10)/6)/((-3)/(-9)). Let q(f) = f. Determine k*b(g) + o*q(g). g Let n(d) = 3*d - 1. Let p(x) = x - 1. Suppose 0 = -2*o + 2, -5*b + 4*o = -7 + 1. Let g be (b/(-5))/((-2)/10). Let m be (1 - 1/g)*-2. Give m*n(r) + 2*p(r). -r - 1 Let k(y) = -y**3 - 4*y**2 - 4*y - 4. Let g(p) = p**3 + 3*p**2 + 3*p + 3. Calculate 4*g(f) + 3*k(f). f**3 Let f(z) = -3*z + 29. Let l(q) = -q + 10. Determine -3*f(w) + 8*l(w). w - 7 Let o(h) = 98*h - 28. Let l(w) = -1. Calculate -28*l(q) + o(q). 98*q Suppose -6 = -4*h - 2*h. Let v(x) = x + 1. Let l(k) = -2*k**2 + 4*k + 4. Give h*l(p) - 4*v(p). -2*p**2 Let u(x) = x**2 - x + 1. Let i(j) = -2*j**2 + 1 + j**2 - 4. What is -i(c) - 2*u(c)? -c**2 + 2*c + 1 Let g = 4 + -6. Let h be g/(-2) + 0 + -4. Let n(c) be the second derivative of c**5/4 + c**3/2 - 8*c - 4. Let b(a) = 26*a**3 + 16*a. Determine h*b(k) + 16*n(k). 2*k**3 Let p = -79 + 84. Let j(n) = 3*n**3 - 6*n. Let h(d) = 3*d**3 - 7*d. Determine p*j(z) - 4*h(z). 3*z**3 - 2*z Let k(d) = d - 1. Let m(g) = -2*g + 2. Let v be m(4). Suppose -4*r + 3 = -x, -3*r - x = -4*x. Let t(c) = 3 - 7*c + 2 + r. What is v*k(i) - t(i)? i Let b(q) be the third derivative of q**5/30 + q**4/6 - q**3/3 + 4*q**2. Let d(m) = -1 - m + m**2 + 4*m + m**2. Calculate 3*b(n) - 4*d(n). -2*n**2 - 2 Let f(m) = 3*m + 7. Suppose x + 0*x - 3 = 0. Let j(k) = -6 - k + k + k - x*k. Calculate -4*f(z) - 5*j(z). -2*z + 2 Let w(c) = 47*c**3 + 5*c**2 - 5*c. Let s(p) = 24*p**3 + 2*p**2 - 2*p. Determine -5*s(a) + 2*w(a). -26*a**3 Let g = 8 + -13. Let l(o) = 4*o + 4. Let v(q) = -q - q + 76 - 78. Determine g*v(i) - 2*l(i). 2*i + 2 Let f(s) = -s**3 - 3*s**2 - 2*s. Let h be f(-3). Let i(b) = -1. Let q(l) = l + 8. Calculate h*i(w) + q(w). w + 2 Let j(r) = 5*r**2 + 5*r - 2. Let x be (-10 + 4)/(6/(-8)). Let g(b) = -14*b**2 - 14*b + 5. What is x*j(t) + 3*g(t)? -2*t**2 - 2*t - 1 Let x(a) = 4*a + 5. Let y(o) be the second derivative of 3*o - 1/3*o**3 - 3/2*o**2 + 0. What is -4*x(g) - 7*y(g)? -2*g + 1 Let t be ((-2)/4)/((-5)/60). Let j(d) = -2*d + 13. Let y(w) = w - 7. What is t*j(c) + 11*y(c)? -c + 1 Let z = 3 + 1. Let c be 2/4 - (-18)/z. Let f(i) = 3*i - c*i + i. Let g(t) = -4*t + 1. Determine 7*f(d) - 2*g(d). d - 2 Let g(d) = -10*d + d**3 + 5*d + 5*d + 1 - d. Let o(v) = -v**2 + 1 + 5*v - v - 5*v. What is -g(h) + o(h)? -h**3 - h**2 Let n(k) = -k - 1. Let y(x) = -13*x - 11. Let i(q) = -18*n(q) + 2*y(q). Let w(f) = -7*f - 3. What is 4*i(c) - 5*w(c)? 3*c - 1 Let c(h) = -2*h**2 + 6*h - 2. Let k(w) = w - 20*w**2 + 4*w + 11*w**2 + 7*w**2 - 1. Determine 2*c(r) - 3*k(r). 2*r**2 - 3*r - 1 Let i(q) = q**2 - 12. Let n(w) = -w**2 + 8. Calculate -5*i(g) - 7*n(g). 2*g**2 + 4 Let k(w) = -w**2 + 6*w - 6. Let b(m) = -7*m - 2. Let f(n) = 3*n + 1. Let v(s) = -4*b(s) - 9*f(s). Give k(u) - 6*v(u). -u**2 Let r(g) = -4*g. Let o(s) = -11*s - 1. Let w = -66 - -74. Determine w*r(f) - 3*o(f). f + 3 Let c(o) be the first derivative of o**2/2 + 17. Let u(x) = -x**2 - 7*x + 4. Calculate 5*c(a) + u(a). -a**2 - 2*a + 4 Let m(z) = 9*z**2. Let a(x) = 4*x**2. Suppose 3*p - 5 = -4*f, 5*f + 5*p = 3*f - 15. Let t = -2 + 3. Let o be (t - 4) + (2 - 1). Calculate f*a(b) + o*m(b). 2*b**2 Let j(k) = -20*k**2 - 21*k + 17. Let b(h) = 7*h**2 + 7*h - 6. Calculate -17*b(o) - 6*j(o). o**2 + 7*o Let d(b) = b**2 + 5*b - 1. Suppose 17*o - 7*o = 40. Let v(r) be the third derivative of r**5/60 + r**4/6 - r**3/6 + r**2. Determine o*d(m) - 5*v(m). -m**2 + 1 Let b = 129 - 127. Let s(c) = -c - 7. Let a(g) = 6. What is b*s(u) + 3*a(u)? -2*u + 4 Let t(x) = 2 + 0 - 2*x + 0. Let z(i) = 6*i - 5. Suppose -h - 8 = -2*h. Let r be (0 + -1)/(2/(-6)). Determine h*t(p) + r*z(p). 2*p + 1 Let x(v) = -15*v + 5. Let d(m) = 76*m - 26. Give 2*d(i) + 11*x(i). -13*i + 3 Suppose 0 = -4*s - 32 - 28. Let d = -10 - s. Let x(g) = d*g**2 - 4*g**2 + 3 - 3*g - 3*g**2. Let f(r) = -5*r**2 - 8*r + 8. Calculate -3*f(v) + 8*x(v). -v**2 Let o(d) = -7*d**2 + 8*d + 6. Let f(y) = -y**2 + 1 + 0*y + 0*y + y. Suppose 0 = 2*i - 8 - 0, 3*b = -i + 13. Suppose -7*l + 4 = -b*l. Give l*o(g) - 6*f(g). -g**2 + 2*g Let l(x) = -5*x**3 + 11*x. Let u(c) = -c**3 + 2*c**2 + 4*c - 3. Let j be u(2). Let f(t) = 3*t**3 - 7*t. Determine j*l(h) + 8*f(h). -h**3 - h Let t(h) = -8*h**2 - 3*h + 7. Let c(a) = -3*a**2 - a + 2. Calculate -7*c(u) + 2*t(u). 5*u**2 + u Let v(b) = 17. Let y(a) = -a - 35. Give -5*v(s) - 2*y(s). 2*s - 15 Let c(u) = 2 + 0*u + 10*u - 3*u + 4*u. Let r(t) = 3 + 0*t + 4*t - 2. Let f = 0 - -3. What is f*c(d) - 8*r(d)? d - 2 Let f(v) = -v**3 + 5*v**2 + 4*v - 5. Let s(n) = 3*n**3 - 11*n**2 - 9*n + 11. Give 9*f(b) + 4*s(b). 3*b**3 + b**2 - 1 Let d(s) = -2*s. Let n(x) be the second derivative of -3*x**3/2 + x. Calculate 26*d(a) - 6*n(a). 2*a Let s(w) = -4*w**2 - 3*w - 6. Let y(d) = -d**2 - d - 1. Let p = -46 - -45. What is p*s(n) + 6*y(n)? -2*n**2 - 3*n Let f = -62 + 111. Suppose b - f = 8*b. Let u(w) = 10*w**3 + 7*w**2 + 13*w + 10. Let m(t) = 3*t**3 + 2*t**2 + 4*t + 3. Give b*m(l) + 2*u(l). -l**3 - 2*l - 1 Let r(o) = -5*o + 13. Let a(y) = -6*y + 13. Determine -3*a(z) + 4*r(z). -2*z + 13 Let a(u) = -u**3 - 3*u**2 + 3*u - 3. Let t(r) = 3*r - 34. Let q be t(11). Let z(n) = n**3 - n**2 + n - 1. Determine q*a(m) + 3*z(m). 4*m**3 Let t(u) = -2*u + 2. Let v(m) = m - 1. Let o(k) = -2*t(k) - 3*v(k). Let n(y) = -y + 1. Let f be (-42)/(-28)*8/(-6). Calculate f*o(c) - n(c). -c + 1 Let x(a) = a**3 - a**2 + a. Suppose -2*y = -3*y + 2. Let s(w) = -2*w**2 + y*w**3 + w + 0*w + 4*w - 3*w**2. What is -s(k) + 5*x(k)? 3*k**3 Let x(l) = 272*l**2 + 64*l + 64. Let v(c) = 13*c**2 + 3*c + 3. Calculate 64*v(k) - 3*x(k). 16*k**2 Suppose 8*c + 23 + 1 = 0. Let i(r) be the third derivative of -r**4/24 + r**3/3 + r**2. Let q(w) = -1. Give c*q(t) - i(t). t + 1 Let u(z) = -30*z - 3. Let r(q) = -2
{ "pile_set_name": "DM Mathematics" }
ate the remainder when t is divided by 10/(-25) + (-84)/(-10). 7 Suppose -u - 102 = -4*f - 0*u, -2*f + 46 = -3*u. Calculate the remainder when 75 is divided by f. 23 Suppose 11 = -2*w - 5*z, -w - 5*z + 4 - 12 = 0. Calculate the remainder when (-53)/w + (-2)/(-6) is divided by 10. 8 Calculate the remainder when (-2)/(-6) + 380/12 + -2 is divided by 17. 13 Suppose -2*i - 5*v + 45 = -2*v, 0 = 4*i - 5*v - 35. Suppose 4*o + 12 = 4. Let n = o + i. Calculate the remainder when 25 is divided by n. 12 What is the remainder when 20 is divided by 18/6 + (-1 - 1) - -10? 9 Suppose h = 2*h - 4. Suppose -2*d + 10 = 2*v - 14, h*v = 4. What is the remainder when d is divided by ((-8)/10)/(1/(-5))? 3 Let t(i) = -i**3 + 5*i**2 - 4*i - 1. Suppose -g - g + 6 = 0. Let k = 39 + -26. What is the remainder when k is divided by t(g)? 3 Let q be 12/10*30/9. Suppose 2*x - q*b + 2*b = 26, x - 5*b - 21 = 0. What is the remainder when 21 is divided by x? 10 Let v(f) = f**3 + 10*f**2 - 5*f - 7. Calculate the remainder when v(-10) is divided by 6/45 + 446/30. 13 Suppose 2*z - 5*a = 41, 0 = -2*z + a + 73 - 20. What is the remainder when 111 is divided by z? 27 Let q(f) = f. Let a be q(0). Suppose 0 = -2*t - 3*s + 161, a = -5*t - 2*s - 2*s + 399. Calculate the remainder when t is divided by 20. 19 Let y(c) = 5*c + 7. Let x(m) = -8*m - 2. What is the remainder when x(-12) is divided by y(5)? 30 Suppose -x = -3 - 6. Let i be (20 - -4)*(-6)/8. Calculate the remainder when 3/i - 97/(-6) is divided by x. 7 What is the remainder when 31/(0 + -3 + 4) is divided by 16? 15 Let d = 24 - -33. Calculate the remainder when d is divided by 20. 17 Let i(d) = d**2 - 15*d - 22. Let r = -12 + 33. What is the remainder when r is divided by i(17)? 9 Suppose -2*r + 2*m = 10, 2*r - 4*m + 18 = -r. What is the remainder when 58 is divided by -1 + (0 + r - -18)? 13 Let u(a) = -32*a**3 + a**2 + a. What is the remainder when 61 is divided by u(-1)? 29 Suppose -145 = -4*y - 5*z, -4*y + 5*y - 40 = -2*z. What is the remainder when y is divided by 16? 14 Suppose 0 = -2*y + y + 5*i + 1, -i = -3*y + 31. Let g = -73 - -114. Calculate the remainder when g is divided by y. 8 Suppose 236 = -2*l + 2*t, 0*l = 2*l + t + 227. What is the remainder when 33 is divided by (-12)/(-78) - l/13? 6 Let c = -1 - -1. Suppose 2*d + 0 - 2 = c. Calculate the remainder when d is divided by 2/((-1)/((-2)/4)). 0 Let s = 17 + -13. Suppose -s*l + 49 = q, -210 = -2*q - 2*q - 2*l. Calculate the remainder when q is divided by 18. 17 Suppose 0 = g - 1 - 2. Suppose -15 = -4*x - g. What is the remainder when (x/9)/((-1)/(-39)) is divided by 4? 1 Let j = -18 + 8. Let d = j - -14. Suppose 0 = -d*h + h + 24. Calculate the remainder when 15 is divided by h. 7 Let z(m) = -m - 5. Let r be z(-5). Let c(f) = f**3 + f**2 + f + 19. Let l be c(r). Let t = l - 3. What is the remainder when 62 is divided by t? 14 Let v = 28 - 8. Suppose -h + 59 = 5*g - v, -4*g = 5*h - 59. Calculate the remainder when g is divided by 9. 7 Suppose -5*q + 134 = -236. Calculate the remainder when q is divided by 19. 17 Let f(s) be the third derivative of -s**6/120 - s**5/12 + 5*s**4/24 - s**3/2 - s**2. Calculate the remainder when 3 is divided by f(-6). 0 Suppose 11*d = 7*d + 48. What is the remainder when 59 is divided by d? 11 What is the remainder when ((-3)/9)/(1/(-249)) is divided by 28? 27 Suppose g - 44 = -9. Suppose -3*n + 76 = -3*a - 41, n - 5*a - g = 0. What is the remainder when n is divided by 14? 12 Let a = 2 + 2. Suppose -2*v + 25 = 3*v. Suppose -1 = -d + v. What is the remainder when d is divided by a? 2 Let u(i) = -i**2 + 6*i - 6. Suppose -4*d = -5*d + 24. Suppose -4*k - k = 25, 0 = -2*v + 4*k + d. Calculate the remainder when u(4) is divided by v. 0 Suppose 2*j + 6 = 4*v, 0 = -2*j - 0*v - 2*v + 12. Let a(p) = 9*p**2 - 3*p**3 - 3*p**3 + 4 + 5*p**j - 7*p. What is the remainder when 23 is divided by a(8)? 11 Calculate the remainder when ((-6)/(-4))/((-12)/(-272)) is divided by 20. 14 Let f(z) be the second derivative of 5/12*z**4 + 1/20*z**5 + 0 - 4/3*z**3 + 0*z**2 + z. Calculate the remainder when 34 is divided by f(-6). 10 Suppose -c = -s + 13, -s + c + 1 = 3*c. Let m = s - -4. What is the remainder when m is divided by 5? 3 Suppose -4*f = -2*f - 62. What is the remainder when 60 is divided by f? 29 Suppose 4*y - 3*o = 6, 5*y = -0*o - 3*o + 21. Suppose 0 = y*v + 2*i - 161, i + 4 = 2*i. What is the remainder when v is divided by 18? 15 Let c be (4*52/(-8))/(-2). Suppose -10*s = -c*s + 21. What is the remainder when s is divided by 3? 1 Suppose 3*p = -26 - 46. Let u be (-2)/8 - 2814/p. Calculate the remainder when (-6)/4 - u/(-6) is divided by 5. 3 Suppose -6 = 3*d, 3*u - 2*d + 4*d = 17. What is the remainder when u is divided by 6? 1 Let y = -10 - -19. Let j be (12/y)/(2/3). Suppose 49 = 4*n - 4*c + 13, 3*c = j*n - 17. Calculate the remainder when 18 is divided by n. 8 What is the remainder when 20 is divided by (-33)/(-4) + 4/(-16)? 4 Suppose -y + 27 = 5*w - 24, -5*w = -3*y - 67. Let a = -4 + w. Let r(q) = q**3 - 9*q**2 + 3*q - 1. Calculate the remainder when r(9) is divided by a. 5 Suppose l + 5 - 23 = 0. What is the remainder when l is divided by 7? 4 Let m(s) = -s + 11. Let g = -20 - -51. What is the remainder when g is divided by m(0)? 9 Let h = 17 + -12. Suppose -h*b = -3*b + f - 14, -2*b - 6 = -4*f. What is the remainder when 12 is divided by b? 2 Suppose -5*w - 4 = 16. Let l be w + 5 + (63 - 1). Suppose -o = h - 54, -33 = -2*h + 4*o + l. What is the remainder when h is divided by 18? 16 Suppose 113 = -5*t + 2*h + 339, 5*t - h = 228. Suppose 5*b - 73 = 7. Calculate the remainder when t is divided by b. 14 Let r = 18 - 16. Suppose -101 = -3*k + 3*m + 22, r*k = 4*m + 90. What is the remainder when k is divided by 13? 11 Let x(r) = -r**3 + 9*r**2 - 5*r - 7. Let s(h) = 11*h - 6. Calculate the remainder when s(5) is divided by x(8). 15 Suppose 0 = 5*d - 205 + 50. Calculate the remainder when d is divided by 17. 14 Let w be 14/3 + 4/(-6). Calculate the remainder when 9 is divided by (5/(-3))/(w/(-12)). 4 Suppose -8*v + 11 = -5. What is the remainder when v is divided by 1? 0 What is the remainder when 33 is divided by (-84)/8*12/(-21)? 3 Suppose -j + 0*o - 5*o = -6, 32 = 3*j + o. Let n = 89 - 47. Calculate the remainder when n is divided by j. 9 What is the remainder when (-9 - 68/(-8)) + 567/2 is divided by 57? 55 Let i be 2 + 0/2 - -2. Let k = -7 - -9. Suppose 22 = k*r + i. What is the remainder when r is divided by 6? 3 Let p = -23 - -46. Let v = 65 + -29. Suppose 2*y - v = -y. Calculate the remainder when p is divided by y. 11 Suppose -3*f + 8*f - 66 = 4*w, 28 = 2*f - 2*w. Calculate the remainder when (2/(-4))/(f/(-140)) is divided by 4. 3 Suppose 84 = 4*o + 4*j, -5*j = o - 19 - 10. Suppose -2*a + 200 = 3*a. Suppose d - a = -3. Calculate the remainder when d is divided by o. 18 Let v(x) = x**3 + 6*x**2 + 4. Let c be v(-6). Suppose 2*j = 2 + c. Calculate the remainder when 10 is divided by j. 1 Suppose 29 - 13 = 2*j + 4*f, 4*j - 38 = -5*f. Let b = j - 7. Suppose -b*h + v + 21 = -3*v, -3*h + 17 = 2*v. What is the remainder when 8 is divided by h? 3 Suppose h - 17 = -4*w + 18, -3*h - 4*w = -73. Let b(k) be the first derivative of -27*k**2 + k - 2. What is the remainder when b(-1) is divided by h? 17 Suppose 5*z + 60 = 3*x, -5*x - z + 0*z = -72. What is the remainder when 71 is divided by x? 11 Suppose 0*m - 8 = -4*m. Suppose 0 = -m*j - 10, 0*j + 46 = 3*k + j. Calculate the remainder when k is divided by 9. 8 Let w(x) = x**3 - 3*x**2 - 10*x - 8. Calculate the remainder when 239 is divided by w(6). 39 Let b = -69 + 77. Calculate the remainder when 20 is divided by b. 4 Let x = -26 - -47. Calculate the remainder when x is divided by 11. 10 Suppose 5*m - 41 = g - 14, g = -2. Suppose -132 = -4*k - 2*f, -m*f = -2*k - k + 73. Calculate the remainder when k is divided by 8. 7 Suppose 22 + 18 = w. Suppose -l + 25 = 4*l. Suppose -4*u = -2*m + u + 53, -25 = l*u. What is the remainder when w is divided by m? 12 Let o = 5 - 13. Calculate the remainder when 25 is divided by o/(-1) + 2 - 1. 7 Let s(a) = 2*a**3 - 25*a**2 - 11*a - 20. Let p = 12 - 3. Calculate the remainder when p is divided by s(13). 3 Let j(s) = s**3 + s**2 - 5*s + 5. What is the remainder when j(4) i
{ "pile_set_name": "DM Mathematics" }
composite? True Let t be 0 - -746*(4 + -3). Suppose 113 - t = -n. Suppose -9*w + 6*w + n = 0. Is w prime? True Suppose -4*s = 0, -d + 6 = -0*s + 3*s. Suppose -10 = 5*l, -2*j + d*j - 20720 = -4*l. Is j a composite number? True Let u = -480 + 483. Suppose -2*z + 16538 = -3*x, -5818 - 18979 = -u*z + 2*x. Is z a prime number? True Suppose 5671 = 28*q + 743. Let j = 43 + q. Is j prime? False Suppose -56*y = -343144 - 996768. Is y a prime number? False Suppose -13*j + 14945 = -76393. Let w = j - -773. Is w a composite number? True Suppose 3*i - j - 10387 = 0, 3*j - 10 = 5. Let q = i + 801. Is q a composite number? True Let a = 41 + -33. Let j be ((-1)/2)/((-2)/a). Suppose 3*l = 4*v + 3781, 0 = j*l - 5*v - 3278 + 762. Is l a prime number? False Suppose 18*i + 315477 = 20*i + y, -2*y - 157736 = -i. Suppose 14*b - 170100 = i. Is b a prime number? True Let j(x) = -x + 126. Let d be j(22). Is (-98202)/d*(-4)/3 composite? False Let l(o) = -55916*o + 417. Is l(-7) composite? True Let n(s) = 11*s**2 + 404*s - 17. Is n(-50) prime? True Let f(y) be the third derivative of -5*y**4/6 + 7*y**3 - y**2 + 8. Is f(-19) a prime number? False Let l = 68810 - 39009. Is l prime? False Let g be ((-87)/(-6))/((-9)/(-54)). Is (-1)/((-8536)/(-25626) + (-29)/g) prime? True Suppose -156*r = -146*r - 375652 - 704178. Is r prime? False Let w(b) = -3*b - 12. Let l be w(-9). Let q be (-3)/(-12) - (-18)/24. Is (l - -498) + (q - 3) a prime number? False Is ((-6)/21 + (-684309)/14)*-2 a composite number? True Let q(n) = -n**2 + 4*n + 3. Let i be q(5). Suppose 26*a - 14*a - 25416 = 0. Is -3 + a/(1 - i) a composite number? True Suppose -197256 - 41496 = -96*x. Is x prime? False Let x be (-4 - 13/(-5)) + 6/(-10). Let j(y) = 2*y**2 + 3*y. Let v be j(x). Suppose 12162 = -3*k + 6*k - 3*n, -4*k = v*n - 16222. Is k composite? True Let j = 17 + 1. Let z = -17 + j. Is (-8)/2 + z - -252 composite? True Let l = -2172479 - -4429510. Is l a prime number? False Suppose -6*f - 20 = -f. Let q be (-7356)/(-3)*f/4*1. Let c = -1301 - q. Is c a composite number? False Let f = -60 - -62. Suppose f*q + 5*a = 4*q - 10497, -3*q + a + 15778 = 0. Is q prime? True Suppose 8*h - 12*h - o + 81151 = 0, 3*h - 2*o - 60855 = 0. Is h a composite number? False Is (1231164/(-24))/(36/(-24)) a composite number? True Let l(r) = r**2 - r - 2. Let k be l(-3). Let j(h) be the second derivative of h**5/20 + h**4/2 - 5*h**3/3 + 43*h**2/2 - 1064*h. Is j(k) composite? False Let m be 4329 - (6 + (-4 - 3)). Let g be -1 - (-3)/(3/7). Suppose g*h - m = h + 3*i, -5 = -i. Is h a composite number? True Let i(y) = -y**3 - 6*y**2 + 4*y - 15. Let u be i(-7). Suppose -3*h = -u, 0*r + 2*r - 3*h + 8078 = 0. Let z = 6921 + r. Is z a composite number? True Let x = 47449 - 26660. Is x composite? False Let d(k) = k - 2. Let c(o) = -12271*o + 171. Let p(s) = c(s) + 3*d(s). Is p(-3) a prime number? False Let v be (2 + -5)/((-3)/(-878)). Let a be ((-207)/(-12))/((-33)/(-3740)). Let s = a - v. Is s a composite number? False Suppose 8423775 = -31*s + 256*s. Is s a prime number? False Let v(m) = -318*m - 145. Let q be ((-7)/(-6 + -15))/(6/(-486)). Is v(q) a composite number? True Let o(g) = 19287*g - 58. Is o(7) composite? False Let p = -168724 + 432923. Is p composite? True Suppose 0 = -13*n + 203 + 291. Let o be -4 + (-51)/(-12) - n/(-8). Is 314/6*(o - 2) prime? True Suppose 9*k + 6162 - 537720 - 196515 = 0. Is k composite? False Let j(k) = 4*k**2 - 74*k - 20. Let r be j(18). Suppose 325 = -4*g - 159. Let l = r - g. Is l a prime number? False Let m = 140698 + 109449. Is m composite? False Suppose 360*x - 4 = 359*x. Suppose 112685 = -x*t + 35*t. Is t prime? False Let s(g) = -40*g**2 + 4*g + 16. Let f be s(5). Let n = -177 - f. Is n composite? False Suppose -4*s = -5*v - 14001, 1906 = -4*s - 3*v + 15899. Is s a composite number? False Suppose 4*g - 5*g = 0. Suppose 3*f - 3*o = 15, -121*f + 118*f - 3*o + 3 = 0. Suppose 4*p + 4*d = 14028, g = -3*p + f*d - 5*d + 10525. Is p prime? True Suppose -5*m + 33120 = 189*c - 191*c, 2*c = -m + 6636. Is m prime? False Suppose -14*o = 31*o - 1395. Suppose -o*d = -165604 - 153417. Is d composite? True Suppose t + 2*u = u - 7, u = 3*t + 1. Let b be 8456/12*1/t*15. Let z = 464 - b. Is z a composite number? False Let k(q) = 962*q**2 + 267*q - 4639. Is k(17) a prime number? False Let d be ((-58810)/30)/((-1)/3)*1. Let f = d + -2244. Is f prime? True Let b = 142 - 113. Suppose b - 21 = 2*f. Is ((-4)/6)/(f/(-2118)) a composite number? False Let s(p) = 7427*p**2 + 28*p - 26. Is s(-3) a composite number? False Let j = 158 - 158. Suppose 9*g + 4*q - 214 = 7*g, 3*g + 3*q - 315 = j. Is g a prime number? True Let u(w) = 4*w + w + 15 + 12 + 13*w**2. Suppose 646*a = 648*a - 3*p - 31, a = -2*p + 5. Is u(a) composite? True Let t = 129 + -89. Suppose 3*c = -7*c + t. Suppose 2*q = -c*b + 286 + 380, 4*q + 660 = 4*b. Is b composite? True Suppose 4*l = -16, -4*q + 11870 = -4*l - 9082. Suppose 0 = i - a - 1304, 22*a - 17*a = -4*i + q. Is i a prime number? False Suppose 0 = 3*j + 4*d - 143 - 85, -5*j = d - 363. Suppose 60*v - j*v + 36132 = 0. Is v prime? True Let t(a) = -90*a + 19. Let g = -66 + 73. Let d be t(g). Let w = d - -1026. Is w prime? False Let b(p) = 21*p + 49. Let k be b(11). Suppose k + 414 = 2*y. Is y composite? False Suppose -6*o = -32*o - 78. Is (354 + (-3)/o)/1 composite? True Let a be 4 + (-14)/3 - 15754/(-6). Let u = a - 1538. Is u a prime number? True Is (220/308)/((-6)/(-108913))*6 a composite number? True Suppose -7*a = -13*a + 6. Suppose 47 = -2*f + a. Let l = 112 + f. Is l prime? True Let y be ((-4)/9*-3)/((-8)/24). Let z be ((-28)/y + -7)*(1 - 0). Suppose 15*t + 3*t - 16182 = z. Is t a composite number? True Suppose -4*p - 2*h + 14 = 0, 13*h - 15*h = -4*p + 26. Suppose -15 = -p*x, -5*j - 4*x = 8736 - 31413. Is j a prime number? False Let c = 334355 - 215568. Is c a composite number? False Let d = -26 + 28. Suppose d*s = r - 1 - 9, 22 = r - 5*s. Suppose -5*g + 815 = 5*a, -g + 7*a + 151 = r*a. Is g composite? True Suppose -1923 = -i - z + 1775, -2*i + 3*z = -7391. Is i prime? True Suppose -33*t + 26*t + 875694 = -752387. Is t a prime number? False Suppose -14*w + 13*w - 8 = 0. Is (-2019)/6*(-10 - w) a prime number? True Is 8/(-10) + (398217/30)/(41/82) composite? True Suppose 2*i = -0*i - 68. Let z = -80 - i. Let n = z - -493. Is n composite? True Suppose -31*p + 13570 = -45051. Let z = p - 368. Is z prime? True Let u(o) = 4014*o**2 - 28*o + 30. Let p be u(1). Let c = 3 - 5. Is c/(-6) + p/3 prime? False Let h = 27262 + -12924. Suppose 5*f + h + 6635 = 2*b, 25 = 5*f. Is b composite? False Is (209653 - -6)/((-29)/(-29)) a prime number? True Suppose 1331116 = -101*a + 103*a. Is a prime? False Suppose -241628 + 394286 = 20*u - 415082. Is u prime? True Let n = -201 - -207. Is (6 - (n - -4197))/(-3) a composite number? False Suppose 0 = -68*s + 65*s - 414. Let n = 5333 - s. Is n a prime number? True Suppose -3*q - 20 + 8 = 0. Let c be 1 - 12/8 - 30158/q. Suppose -3122 = 7*t - c. Is t a composite number? False Let q(h) = 295*h**2 + 68*h - 186. Is q(-25) a composite number? False Suppose 35 = 3*i - 5*d, -16*d = 4*i - 15*d - 16. Suppose i*y + 6*r = 5*r + 3590, 699 = y + 4*r. Is y composite? False Suppose -21 = 5*k - 11. Let f be (5 - -29) + (3 - (2 + k)). Let u = 25 + f. Is u a composite number? True Suppose -4*k + 20 = -y, 20 = -14*k + 16*k - 3*y. Suppose k*p - 99803 = -3*o, -7*p = 4*o - 3*p - 133068. Is o a composite number? True Suppose 0 = q - 3*x - 3 - 7, 2*q - 47 = -3*x. Suppose -2*p = -3*b + q, -2*b = -2*p - p - 6. Suppose b*t + 934 = 11*t. Is t a composite number? False Let f(j) = -20089*j - 212. Is f(-73) composite? True Suppose 7*b - 281 - 104 = 0. Suppose b*v - 56*v = -3523. Is v a prime number? False Let h(l) = -115*l + 13. Let d = 12 - 10. Let n = -10 + d. Is h(n) prime? False Let i = 49540 + 138567. Is i composite? False Let y = 416427 + -277514. Is y a prime number? False Suppose 2*l + 44*c - 1248438 = 40*c, 2*c = -2*l + 1248448. Is l composite? False Let o be -596*((-356)/16)/1. Let l = o + -4760. Is l a composite number? False Let j = 116 + -113. Let q(z) = 1606*z - 109. Is q(j) a composite number? True Suppose -18*x + 4*x + 48202 = 0. Is x a composite number? True Let b = 466791 - 208028. Is b composi
{ "pile_set_name": "DM Mathematics" }
? 2 Let b be (-62 - -2)*2/(-6)*3. Suppose 8*w - 4*w = -b. Let i(k) = -3*k + 10. What is the units digit of i(w)? 5 Let a(j) = -119*j - 14. Suppose -s - 11 = 2*i, 3*i + 62 = -5*s - 0*i. Let y(v) = -4*v - 54. Let b be y(s). What is the tens digit of a(b)? 2 Suppose -5*n + 34365 = 2*o, 1 = 725*n - 724*n. What is the hundreds digit of o? 1 Let d = 0 - -4. Suppose 5*z - 5*a = 50, 5*a = -4*z + 6*a + 25. Suppose 381 = z*q + 4*s, 2*s + 309 = d*q + s. What is the tens digit of q? 7 Let u = -343 + 191. Suppose 5*z = -3*s - 1134, -5*z + 400 - 1522 = -s. Let j = u - z. What is the tens digit of j? 7 Let g = -226 - -229. Suppose g*r - 317 - 3958 = 0. What is the thousands digit of r? 1 Suppose 51*j - 758214 = -37*j - 26*j. What is the units digit of j? 1 Suppose 0 = 34*b + 18 - 86. Suppose -4*n + 8534 = -b*j, -33*n - 2*j + 10645 = -28*n. What is the hundreds digit of n? 1 Let a = 19434 - 3168. What is the thousands digit of a? 6 Suppose -24 = -3*l, 27*w - 5*l - 117465 = 22*w. What is the units digit of w? 1 Let b(a) = 19*a - 2 - 19*a**2 - 3 - 10*a**2 + 27*a**2. Let i be b(9). Suppose -i*l - 100 = -5*s - 477, 5*l - 3*s = 455. What is the units digit of l? 8 Suppose -3*u + 2*p = 786, 0*u + 5*p = 5*u + 1305. Let d = -89 - u. Suppose -5*n = 2*n - d. What is the tens digit of n? 2 Let y be 17/34 - (-6)/4. Suppose n - u - 131 = -0*n, 0 = 3*n - y*u - 391. What is the hundreds digit of n? 1 Let q be 48893/78 - (-1)/6. Suppose q + 258 = 3*n. What is the hundreds digit of n? 2 Let i(o) = 194*o**2 - 32*o - 291. What is the units digit of i(-6)? 5 Suppose 0 = -10*v - 15*v + 29275. Let m = 2203 - v. What is the hundreds digit of m? 0 What is the units digit of 1/(-4)*-162220*(-1)/(-5)? 1 Let v be (1 - 1)/((14 - 23)/(-9)). Let r = 1533 + v. What is the units digit of r? 3 Suppose -11*b = -27652 - 120452. What is the tens digit of b? 6 Let l(m) = -47*m - 28. Let s = -24 - -15. What is the units digit of l(s)? 5 What is the units digit of (-19702)/(-5) - (-18)/(-45)? 0 Let j(b) = -4614*b + 147. What is the hundreds digit of j(-8)? 0 Let u = 1054 + -724. What is the units digit of (-251)/5*u/(-22)? 3 Suppose -3*i = -2*y - 1219, 0*i + 2*i + 5*y - 800 = 0. Let t = -178 + i. Let d = t + -109. What is the units digit of d? 8 Suppose 0 = p - 4*m + 5, 5*p - 2*m - 21 - 8 = 0. Let y = p + -5. Suppose 2*r + y*h - 20 - 288 = 0, 466 = 3*r + h. What is the hundreds digit of r? 1 Let r(u) = 3*u - 16. Let p be r(6). Suppose m + p*f - 288 = 70, -f = m - 354. What is the units digit of m? 0 Suppose 5*z - 12 = 3. Suppose -z*w = -821 - 688. What is the units digit of w? 3 Suppose d + d - 312 = 0. Let z = -652 + 655. Suppose 2*y - 103 = n, d = z*y - 4*n + 3*n. What is the units digit of y? 3 Suppose -1848522 = -33*s - 45*s. What is the tens digit of s? 9 Suppose -26022 = 16*s - 74854. What is the hundreds digit of s? 0 Let x(u) = -u**2 + u + 44. Let c be x(0). Let t = c + 6. Let q = 99 - t. What is the tens digit of q? 4 Let f be (3 + -2)/(2/4). Let m = -1498 - -1501. Suppose m*p - 77 = -t, f*t + 81 = -4*p + 231. What is the tens digit of t? 7 Let w(n) = n**2 - 17*n + 42. Let g be w(13). Let f(i) = -i**3 - 8*i**2 - 12*i + 24. What is the tens digit of f(g)? 4 Suppose 10191 = z - 24*d + 25*d, 5*d = -z + 10187. What is the hundreds digit of z? 1 Let u(x) = -x**3 + 2*x**2 - 4*x + 4. Let s be u(3). Let z = -12 - s. Suppose -z*p = p - 348. What is the tens digit of p? 5 Let f(h) = 2210*h**2 + 189*h + 1036. What is the tens digit of f(-6)? 6 Suppose -m - 48763 = -5*x, 4*x - 3*m - 32513 = 6493. What is the tens digit of x? 5 Suppose -g - 3*x = -1431 - 838, 3*g = -3*x + 6819. Suppose -4*j = 9*j - g. What is the hundreds digit of j? 1 Let t = 23262 - 15550. What is the hundreds digit of t? 7 Let c be (-9)/(2511/(-414) - -6). Suppose 4*k = -4*y + 472, -c = -y + 5*k - 10*k. What is the tens digit of y? 1 Let r = -7422 - -24067. What is the hundreds digit of r? 6 Let j be (-8)/(-2)*(-7)/(140/(-25)). Suppose 4*q = 4*g - 2808, -j*g - 3*q + 3498 = -4*q. What is the hundreds digit of g? 6 Let b = 12219 - 11456. What is the units digit of b? 3 Suppose 60*l + 45 = 65*l. Suppose -222 = -l*j + 2172. What is the tens digit of j? 6 Let c(z) = -3*z**3 + 9*z**2 + 5*z + 21. Suppose l - 4 = 0, -3*h - 25*l - 6 = -22*l. What is the hundreds digit of c(h)? 9 Let l = -7498 - -28911. What is the hundreds digit of l? 4 Suppose -75 = 21*s + 30. Let h(b) be the second derivative of -b**5/10 - b**4/2 - b**3/3 + b**2 - 2*b. What is the hundreds digit of h(s)? 1 Suppose 20 = 4*f - 28. Suppose p - f = -4. Suppose -492 = -4*x + 4*v, 3*x + p*v - 4*v - 369 = 0. What is the units digit of x? 3 Let x = -20820 - -59475. What is the hundreds digit of x? 6 Let s be (1 + 10/(-4))*-2. Suppose 3 - 1 = 3*u - 2*v, -s*u = -5*v + 4. What is the units digit of (-6)/(u/(-16)*3)? 6 Suppose 2 = u, 0*u + 18 = 4*g + 3*u. Suppose 1525 = g*o - 2*p - 0*p, 0 = 4*o + 3*p - 2056. What is the units digit of o? 1 Let x(l) = -l**3 - 9*l**2 - 3*l + 4. Let n(f) be the second derivative of f**4/6 + 7*f**3/3 + 3*f**2/2 + 2*f. Let b be n(-6). What is the tens digit of x(b)? 3 Let q be 0 - ((-6)/(-2) - 5). Let y be (q + (-12)/3)*-2. Suppose -2*o - m + 466 = 0, -3*o = -y*m - 619 - 69. What is the tens digit of o? 3 What is the tens digit of (90/6 - (14 + -6)) + 4540? 4 What is the thousands digit of (1113/(-212))/(3/(-2860))? 5 Let z = 4 - 7. Let i(u) be the third derivative of -u**6/40 + u**5/60 + u**4/24 - u**3/3 - u**2 - 11. What is the tens digit of i(z)? 8 Suppose 64*j - 58*j = 54. What is the units digit of ((-4)/(-4) + j)*12 + 1? 1 Suppose 6752 = 4*a - 4*l, 0 = -4*a - 2*l + 3377 + 3363. Suppose 4*i - a = 862. What is the hundreds digit of i? 6 Let j(v) = -124*v**3 - 2*v**2 + 2*v + 3. Let g be (2/(-3))/(-5 - (-224)/42). What is the hundreds digit of j(g)? 9 Suppose 0 = -3*d - 3*d + 138. Suppose d = 4*y - 117. What is the units digit of y? 5 Let t be (-2 - 0)/((-11)/(8 - 19)). Let b(s) = -27*s**3 - 3*s - 4. What is the units digit of b(t)? 8 Suppose -31 = -8*c + 25. Suppose -1209 = -c*k + 3*k + 5*o, -5*o + 1199 = 4*k. What is the hundreds digit of k? 3 What is the tens digit of 9088*9*(-1)/(-18)? 4 Let j(x) = 21*x**2 - x - 2*x**2 + 0*x**3 + 3*x + x**3 + 41. Let t be j(-19). Suppose 3*u + 0*u = -i + 66, t*i - 2*u = 231. What is the units digit of i? 5 Let t(w) = w**3 - 16*w**2 + 28*w + 2. Let f be t(14). Suppose -10 + f = 2*b. What is the hundreds digit of -5 + (-552)/(-4) + b? 1 Let h = -1981 - -12060. What is the ten thousands digit of h? 1 Suppose -g + 2*g + 33 = 0. Suppose j = -2*p + 80, p - 156 = -2*j - 2*p. Let s = g + j. What is the units digit of s? 9 Suppose -7*k + 2734 = -66. Suppose -4*o - 5*y - 297 = -1077, -5*y + k = 2*o. What is the units digit of o? 0 What is the thousands digit of -9 + ((-36)/12 - -1999)? 1 Let u(j) = -j**3 + 10*j**2 - 6*j - 7. Let k be u(5). Let d be (-7 - -2)/(-10)*66. Suppose 5*r = k - d. What is the tens digit of r? 1 What is the hundreds digit of (-228)/12 + 221368/8? 6 Let h = 23 + -11. Let v(y) be the third derivative of 5*y**4/24 + 10*y**3/3 + 1142*y**2. What is the units digit of v(h)? 0 Suppose -639 = 201*n - 210*n. Suppose -n*q = -68*q - 1074. What is the hundreds digit of q? 3 What is the thousands digit of (-21)/14*112/21*-136? 1 Suppose -66 = 4*g - 74. Let f be ((-4)/(-6))/(1/(-24)). What is the tens digit of g + 88 + (-5)/(20/f)? 9 Let v = -21598 - -45148. What is the ten thousands digit of v? 2 Let y = 33 - 30. Let h be 1 - (-1 - 3) - y. Suppose -2*l + 72 = u, 0 = -h*u + 6*u. What is the units digit of l? 6 Let k(x) = -161*x. Let w(s) = -483*s + 1. Let z(j) = 7*k(j) - 2*w(j). Let h be z(1). What is the units digit of 0 - (3 + h + 1 + -2)? 1 Suppose 0 = 98*f + 97*f - 88725. What is the tens digit of f? 5 Suppose -4*b = -1080 - 1680. Let y = b + -601. What is the units digit of y? 9 Suppose -19*n + 121071 - 40150 = 0. What is the tens digit of n? 5 Let q(u) = 411*u - 8120. What is the units digit of q(24)? 4 Let o = -40 - -47. Let g(u) = 7*u + 2. Let a be g(o). Suppose 6*t = 7*t - a. What is the tens digit of t? 5 Suppose 0 = 579*a - 732*a + 2453202. What is the hundreds digit of a? 0 Suppose 11*u + 11675 = i + 9*u, 4*i = -3*u + 46766. What is the ten thousands digit of i? 1 Let o = 234 + -122. Let a = 208 - o
{ "pile_set_name": "DM Mathematics" }
11))**(8/3) assuming o is positive. o**(16/11) Simplify (r**(1/10))**(-6/5) assuming r is positive. r**(-3/25) Simplify j**(3/5)/j*j*j**(4/3)*(j**(-2))**(1/11) assuming j is positive. j**(289/165) Simplify s**0/(s/((s*s**(-5))/s)*s)*(s**(-2/7)/s)/s**(-3) assuming s is positive. s**(-37/7) Simplify (k**(-18)*k*k*k**(-17))**(-2/39) assuming k is positive. k**(22/13) Simplify (k**(6/13)/k*k*k)**8 assuming k is positive. k**(152/13) Simplify g**(-25)/(g*g**(-2/41)) assuming g is positive. g**(-1064/41) Simplify (f**(-5)/(f**12/f))**(-28) assuming f is positive. f**448 Simplify (i**(3/8)*i**(-2)*i)**(-8) assuming i is positive. i**5 Simplify ((v*v/v**0)**(-1/60))**(-8) assuming v is positive. v**(4/15) Simplify b/(b*b/((b/(b/(b**(1/5)*b*b)))/b)*b)*b*((b*b**4)/b)/b*b assuming b is positive. b**(21/5) Simplify (i/(i/(i**(1/4)/i))*i)**48/(i**(-3/4)/(i/(i/(i**(-3)/i)))) assuming i is positive. i**(35/4) Simplify (t**(1/12)*t)**(-49) assuming t is positive. t**(-637/12) Simplify ((o/(o*o**(1/4)*o*o))**(-5/2))**(-1/13) assuming o is positive. o**(-45/104) Simplify (r**(-1)*r/r**(-8))**(-3/35) assuming r is positive. r**(-24/35) Simplify ((h*h**(-11))/h*h)/h**(-1/18) assuming h is positive. h**(-179/18) Simplify (q*(q**(-2/3)*q*q*q)/q)**(1/2) assuming q is positive. q**(7/6) Simplify ((g/(((g/g**(1/4))/g)/g))**(1/3))**(-2/25) assuming g is positive. g**(-3/50) Simplify (d**(-2/7)/d)**(-5/6)*d*d**3*d**(-1/2) assuming d is positive. d**(32/7) Simplify ((y/y**(2/5))/y)**(-4/37)/(y**(-2/5))**33 assuming y is positive. y**(490/37) Simplify (p**(-1/8)*p*p**(-3))**(-1/9) assuming p is positive. p**(17/72) Simplify (q*q**18*q)**(-13) assuming q is positive. q**(-260) Simplify (i/((i*i*i/(i*i**1*i))/i)*i**(1/2))**50 assuming i is positive. i**125 Simplify (t**(-2/3)/t)**(-39)/(t**(-2/21)*t/(t*t*t**(-2/7))) assuming t is positive. t**(1382/21) Simplify ((f**(-1/2)*f)/f)**(-22)*f**(2/15)*f*f**2/f assuming f is positive. f**(197/15) Simplify l*(l*l*l**(1/8))/l*l/l**3 assuming l is positive. l**(1/8) Simplify j**17/(j/(j*j**(-31))) assuming j is positive. j**(-14) Simplify (p/(p/(p*((p*p**(3/5)/p)/p)/p)))**(-1/23)*p**(-1)/p**(-4/5) assuming p is positive. p**(-21/115) Simplify (r/r**(-2/33))/(r**(-3/7)/r)*(((r*r**2*r)/r)/r)/r**(1/8) assuming r is positive. r**(8065/1848) Simplify s*s/(s*s*s**(-25)*s)*s**3 assuming s is positive. s**27 Simplify (l*l**(-29)/l)**9 assuming l is positive. l**(-261) Simplify (f**(-2/9)/f**(-7))/(f**(-8)/(f/(f*f**(-7)*f*f))) assuming f is positive. f**(178/9) Simplify (u**(-1/5)*u**(-3/2))/((((u*u/u**1)/u)/u)/u*u**0*u) assuming u is positive. u**(-7/10) Simplify a**(-3/2)/(a*(a*a/a**(-3/10))/a)*(a**(-1/3))**4 assuming a is positive. a**(-77/15) Simplify p**(-5/2)/((p*(p*p/p**9*p*p*p)/p)/p) assuming p is positive. p**(5/2) Simplify ((t/(t**(-3/8)/t))/(t/(t/t**(2/7))))**(-8) assuming t is positive. t**(-117/7) Simplify ((v**(-2/7))**(-4))**(-3/5) assuming v is positive. v**(-24/35) Simplify (q/(q**(-3/5)/q*q)*q/q**(3/4)*q)**(11/3) assuming q is positive. q**(209/20) Simplify n/(n/n**(-12))*n*n*n/(n/(n*n*n/(n/((n**19*n)/n*n))*n*n))*n assuming n is positive. n**15 Simplify (s/(s**(-2/11)*s))/(s*s**(-5/4)/s) assuming s is positive. s**(63/44) Simplify (j/(j*j/(j**(-4)/j)*j))/(j*(j**0*j)/j) assuming j is positive. j**(-8) Simplify (n*n*n**(-4/13)*n**(-16))**(-3/38) assuming n is positive. n**(279/247) Simplify ((n/(n/n**(-2/7)))/n)**(1/39)*n/(n/n**(-3))*n**(3/8) assuming n is positive. n**(-1935/728) Simplify (o/(o*o**9)*o)**21 assuming o is positive. o**(-168) Simplify q**(-1/10)/(q*q**(-2)*q) assuming q is positive. q**(-1/10) Simplify ((g/(g/(g/(g*g*g/g**(-9))))*g)/g)/g**(2/71) assuming g is positive. g**(-783/71) Simplify u**41/u*u*(u**44/u)/u assuming u is positive. u**83 Simplify ((n**5)**21)**(1/75) assuming n is positive. n**(7/5) Simplify ((g*g**11)/(g/g**(-2)))**(-23) assuming g is positive. g**(-207) Simplify ((k/(k/(k/k**(1/3))))/k)**(-40)/(k**(4/3)*(k*k**(4/5))/k) assuming k is positive. k**(56/5) Simplify (z**(-1/7))**(-13/5) assuming z is positive. z**(13/35) Simplify (((n**(-2/9)*n)/n)/n)**(31/2) assuming n is positive. n**(-341/18) Simplify (k/k**2)**(-5) assuming k is positive. k**5 Simplify g**11*g**(-15) assuming g is positive. g**(-4) Simplify (n/((n*n**(1/3))/n*n*n))**(-27)*(n*n**(2/7)*n*n)**(1/20) assuming n is positive. n**(5063/140) Simplify (r/(r*r**(-1/7))*r*r/(r**2/r))**(16/5) assuming r is positive. r**(128/35) Simplify (k/(k/k**(-1/4)))/k**(1/5)*k*k**0*k*k**(4/9)/k assuming k is positive. k**(179/180) Simplify u**(-7)*u*u/(u/(u/(u*u**(-5/3))*u))*u assuming u is positive. u**(-7/3) Simplify (t/(t**(-2/9)*t))**(-18)*(t*t*t**(-1/4)*t*t)**(-36) assuming t is positive. t**(-139) Simplify ((d**(1/5))**(-10))**(1/52) assuming d is positive. d**(-1/26) Simplify v**25*v*v**(-35) assuming v is positive. v**(-9) Simplify u**(-11/4)/((((u*u**3*u)/u)/u)/u) assuming u is positive. u**(-19/4) Simplify (i**(-1/6)/(i**(-1/8)/i))**(-29) assuming i is positive. i**(-667/24) Simplify ((k*(k**(-2)/k*k*k)/k)/(k/(k/((k**(-2)*k)/k))))/((k/(k/(k**1/k)))/(k/(k/(k/(k*k*k/k**(2/7)*k)))*k*k)) assuming k is positive. k**(2/7) Simplify (s**6*s*s/(s**(3/4)*s))/(s*s/(s/(s*s*(s*s**0*s*s)/s*s*s))*s*s*((s*s/(s/(s/(s**(-2/3)*s))))/s*s)/s*s) assuming s is positive. s**(-53/12) Simplify z*z*z**(-15)*z/z**(3/10) assuming z is positive. z**(-123/10) Simplify (b/(b/b**5)*b*b**5)/(b**(-4/3)/((b*b**(2/5))/b)) assuming b is positive. b**(191/15) Simplify v**26*v/(((v*v/(v**(-3)*v)*v)/v)/v) assuming v is positive. v**24 Simplify (h**(-8))**(1/30) assuming h is positive. h**(-4/15) Simplify ((((x*x**(-4)/x)/x)/x*x)/x**(1/8))/(((x**7*x)/x)/(x*x**1)) assuming x is positive. x**(-81/8) Simplify a/a**(-1/4)*a*a**(-2/27)*(a**(-1)*a)**(-41) assuming a is positive. a**(235/108) Simplify (r/(r/((r/((r/r**5*r)/r)*r)/r*r)))**(-12) assuming r is positive. r**(-72) Simplify x*x/(x/(x*x/(((x*(x/(x**17*x))/x)/x)/x)))*((((x/x**(2/11)*x)/x)/x)/x)/x*x assuming x is positive. x**(229/11) Simplify ((p/p**(-10)*p)/(p**1/p))/(p**(-1/9)/(p*(((p*((p**(-2/3)*p)/p)/p)/p*p)/p)/p)) assuming p is positive. p**(94/9) Simplify (t**(-7))**11 assuming t is positive. t**(-77) Simplify ((g**(1/3)/g)**(7/3))**(10/11) assuming g is positive. g**(-140/99) Simplify ((o**(1/5))**40)**(3/11) assuming o is positive. o**(24/11) Simplify y/y**(-3/17)*y*y/(y**(-9/5)/y)*y*y*y assuming y is positive. y**(763/85) Simplify m*m**8*m**(-8)*m*m assuming m is positive. m**3 Simplify y*y**(-10)/y*y**(-2/21)*((y/y**0)/y)**(-35) assuming y is positive. y**(-212/21) Simplify ((j**(-1/4))**(-1/26))**(-1/13) assuming j is positive. j**(-1/1352) Simplify y/y**(3/7)*y**(-1/4)*(y/(y/((y*y**(-1/2))/y)))**(-2/73) assuming y is positive. y**(685/2044) Simplify (f**0)**48*f/(f**1*f)*f*f*f*f**(-1) assuming f is positive. f Simplify (u/(u*u*u**(-8)*u))/(u*u**16) assuming u is positive. u**(-11) Simplify z**(2/65)*z**(-16/3) assuming z is positive. z**(-1034/195) Simplify (j*j*j*j**(-2)*j)**(2/51) assuming j is positive. j**(4/51) Simplify (u/(u/((u*u/((u*(u**(-2)*u)/u*u*u*u)/u)*u)/u)))**(-9) assuming u is positive. u**(-9) Simplify ((b*(b*b*b**(1/4))/b*b*b)**(-6))**(-48) assuming b is positive. b**1224 Simplify (w**3)**(-2/29)/(w**(-1/6)/(w*w**(-4/7))) assuming w is positive. w**(473/1218) Simplify (g**(-1)/g)**18*((g**(-1/2)*g)/g*g)/(g/((g/g**(-1/4))/g)) assuming g is positive. g**(-145/4) Simplify (g**(5/3)*g*g)**24 assuming g is positive. g**88 Simplify (q/q**(-9)*q*q*q/(q/(q**1*q)))/((q/q**(-9))/q**0) assuming q is positive. q**4 Simplify (y**(1/7)/y**(-1/3))/(y*(y*(y*y*y/(y*y**(1/2)))/y)/y*y)**(3/35) assuming y is positive. y**(11/42) Simplify (((r*r/(r*r*r**(-8/9)))/r)/r*r*r)/(r*r**(1/9)) assuming r is positive. r**(-2/9) Simplify (((u**5*u)/u*u)/(u/(u/u**(2/5))))**(3/5) assuming u is positive. u**(84/25) Simplify ((x**(-1/11))**22)**(-1/30) assuming x is positive. x**(1/15) Simplify (i*i**(2/7)/i*i/(i*i**(-1)*i))/(i*i*i**(-1))**(-22) assuming i is positive. i**(156/7) Simplify i/(i*i/(i**(2/9)*i))*i/(i**22/i) assuming i is positive. i**(-178/9) Simplify (l**(1/19)/l**(-2/11))/(l*l**(-1)/l*l)**43 assuming l is positive. l**(49/209) Simplify (f**10)**(-8/3) assuming f is positive. f**(-80/3) Simplify c/(c/(c/(c*c*c**11
{ "pile_set_name": "DM Mathematics" }