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Let v = 328 - 218. Suppose 4*i - 3*x = 99, 2*i - x = -3*i + v. What is the tens digit of i? 2 Let x(f) = -f + 4. Let t be x(3). Let l(a) = -10*a**2 - a + 1. Let v be l(t). Let k = v + 20. What is the units digit of k? 0 Let m(g) = g**2 - 10*g - 13. Let j(u) = u**2 - 11*u - 14. Let t(q) = -3*j(q) + 4*m(q). What is the tens digit of t(10)? 2 Let r = -17 + 54. What is the tens digit of r? 3 Suppose -5*t = -t - 104. Suppose -3*q - 2 + t = 0. What is the units digit of q? 8 Suppose -n + 3*w + 145 = 0, -n + 5*n - 520 = -3*w. What is the tens digit of n? 3 Let q(a) = 4*a + 87. What is the units digit of q(5)? 7 Let r(m) = -m + 6. Let p be r(0). Let o(c) = c**3 - 4*c**2 - 4*c - 4. What is the tens digit of o(p)? 4 Let n(b) = 2*b**2 + 3*b + 2. Suppose -6 = 5*i + 4. What is the units digit of n(i)? 4 Suppose -4*r = 3*u - 10 - 8, 5*r = -4*u + 23. Let o be (-118)/(-6) - 2/3. Suppose -3*g + r*v + 23 = -v, 0 = -5*g - 3*v + o. What is the units digit of g? 5 Let w(l) = l - 2. Let i be w(6). Suppose y = i*y - 30. What is the tens digit of y? 1 Let a(x) = x**3 + 6*x**2 + 2*x - 5. Let t be a(-5). Suppose -t = -5*b, 4*b - 10 = 3*z + 2*b. What is the units digit of (-1)/z*(20 - 2)? 9 Let l(o) = -o**3 + 0*o**3 + 2*o - o + 5*o**2 - 5*o. Let q be l(4). Suppose q = -0*f + f - 3. What is the units digit of f? 3 Suppose 0 = -d + 4*f - 5*f + 2, -2*d + 5*f + 32 = 0. Let l = 0 + d. Suppose -2*a + l = -a. What is the units digit of a? 6 Let i = 15 - -23. What is the tens digit of i? 3 Suppose 0 = 5*i - 5*b, b = 1 + 2. Suppose -c = -0*c + 2*x - 20, -i*c + 4*x + 10 = 0. What is the units digit of c? 0 Suppose -5 + 15 = 2*h. Let b be (2 - -1)/((-6)/(-4)). Suppose -b*y - 14 = -2*c, -3*y = 3*c - h*y - 20. What is the units digit of c? 6 Let w(r) = -r**2 - 6*r + 5. Let a be w(-6). Suppose a*z - 2 - 113 = 0. What is the units digit of z? 3 Let n(k) = -k**3 + k**2 + k + 4. Let h be n(0). Let c be (-36)/(-8) + 1/(-2). Suppose -4 = 3*z - h*t - 3, -c*t + 36 = 4*z. What is the units digit of z? 5 Suppose -65 = 5*c - 0*c. Let z = 6 - -15. Let p = c + z. What is the units digit of p? 8 Suppose 2*b + 82 - 278 = 0. What is the tens digit of b? 9 Let d = -229 - -321. What is the units digit of d? 2 Suppose -5*n + 3*n = 4*s - 12, -4*s - 16 = -5*n. What is the units digit of n? 4 Let z(f) be the third derivative of f**5/60 + f**4/3 - 5*f**3/3 - 3*f**2. Let b be z(-8). Let k = 7 - b. What is the tens digit of k? 1 Suppose 3*g + 2*g = b + 645, 5*g + b = 655. Suppose -a + 6*a = g. What is the units digit of a? 6 Let t(l) = 2*l + 8. Let b be t(13). What is the tens digit of b + (0 - (3 - -1))? 3 Let y = 4 - 1. Suppose -y*f + 18 = 3. Suppose f*c - 5 = -0*c. What is the units digit of c? 1 Let m(t) = -t**3 + 3*t**2 - 2*t + 1. Let b be m(2). Suppose -l = -11 - b. What is the units digit of l? 2 Let q(g) = g**3 - 8*g**2 + 6*g + 9. Let c be q(7). Suppose 73 = c*z - 3*i - 28, 4*i - 172 = -4*z. What is the tens digit of z? 4 Suppose -f = 1 - 5, -n + 5*f - 50 = 0. What is the units digit of (-350)/n + 2/(-3)? 1 Suppose 4 = -v - 0. Let x = 4 + v. Suppose x = -2*c + 3*c - 5. What is the units digit of c? 5 Let l(g) = g**3 + 13*g**2 - 17*g + 1. What is the tens digit of l(-14)? 4 Suppose -2*k + r = -3*r - 382, 2*k = r + 379. What is the units digit of k? 9 Suppose 1 = y + 6. Let m(q) = -q**3 - 5*q**2 + q + 1. Let x be m(y). What is the units digit of 4 + x - (0 + -1)? 1 Let f be 5*1 + -1 + 1. Let r be (-1495)/(-52) - (-1)/4. Suppose -f*x = -0*x + 2*a - r, 4*a = -x - 5. What is the units digit of x? 7 Suppose -4*q - 20 = 0, -2*k + 0 = 3*q + 9. Let g(i) = i**2 - 1 - i + 2 - i**k + 1. What is the units digit of g(0)? 2 Let z(n) = -6*n + 24. What is the tens digit of z(-12)? 9 Let d(t) = t**2 - t + 3. Let b be d(0). Suppose 7 = -b*w + 28. What is the units digit of w? 7 Let t(g) = -g**3 - 2*g**2 - 2*g + 4. Let y(m) = m**3 + 4*m**2 - 4*m + 2. Let r be y(-5). What is the tens digit of t(r)? 1 Suppose a - 17 = -2*s + 74, 0 = 5*s - 4*a - 234. What is the tens digit of s? 4 Let c(b) = -b**2 + 9*b - 14. What is the units digit of c(6)? 4 Let o(y) = -y**2 + 6*y - 5. Let u be o(4). Suppose 5*i + u*j = 10 + 19, 3*j = 9. Suppose i*z - 2*z - 4 = 0. What is the units digit of z? 2 Let c = 411 - 278. What is the units digit of c? 3 Let p(k) = k**2 - 9*k - 12. What is the units digit of p(11)? 0 Let d(j) = -5*j + 6. Let x be d(-11). Let r = -35 + x. What is the tens digit of r? 2 Let u(c) = -17*c**3 + 2*c**2 - 1. Let y be u(-1). Let z = y - 27. What is the units digit of (-12)/z + 1/(-3)? 1 Let q be (0/(-2))/(1 + -2). Suppose 2*g + 6 = -q. Let t = -2 - g. What is the units digit of t? 1 Suppose 3*o - 85 = 383. What is the units digit of o? 6 Suppose -4*t = -t - 6. Let h be (-12)/(-2) + -3 + t. Suppose 2*j - 3 = -3*d + 2*d, 9 = 4*j + h*d. What is the units digit of j? 1 Suppose -4*s + 2 = -2*i + i, 8 = -4*s. Let o = -1 - i. What is the units digit of o? 9 Let p be 4/6 - (-1376)/24. Suppose p = 3*h + 1. What is the tens digit of h? 1 Let o = -4 + 4. Suppose 17 = b - o. What is the tens digit of b? 1 Let v = -23 + 56. What is the tens digit of v? 3 Suppose 0 = -h + 3*g + 2, -1 = 5*h - 4*g. What is the tens digit of 2/(h/(34/(-4)))? 1 Let k(l) = -l**2 - 2*l - 3. Let d be k(-2). Let z = d + 5. Suppose -z = -g - 0. What is the units digit of g? 2 Let q(f) = -f + 10. What is the tens digit of q(-16)? 2 Suppose 24 = 2*c - 5*c. Let f(h) = h**2 + 7*h - 8. Let m be f(c). Suppose 0 = p + 2*b - 15, m - 6 = p - 5*b. What is the units digit of p? 9 Suppose -3*d - 5*m = -6*d + 125, -4*m - 4 = 0. What is the tens digit of d? 4 Let m = 11 + -7. Suppose -12 = -f - q, f = -2*f - m*q + 31. What is the units digit of f? 7 Let c be -15*(1 - (-8)/(-6)). What is the units digit of 8/20 - (-73)/c? 5 Suppose 3*t - 43 = -5*c - 2, -39 = -3*t - 3*c. What is the units digit of (t/(-7))/(4/(-14))? 6 Let v(d) = d**2 + 3*d - 6. What is the units digit of v(-11)? 2 Let v(c) = -7*c**2 - 7*c + 10. Let n(x) = 6*x**2 + 6*x - 9. Let r(z) = 3*n(z) + 2*v(z). What is the units digit of r(-4)? 1 What is the units digit of -4 - (3/12 + (-4359)/12)? 9 Suppose -2*c + 5*c - 15 = 0. Suppose q + 3 = 36. Suppose 57 = c*y + u + 3*u, -2*u = 3*y - q. What is the units digit of y? 9 Let g(c) = c**2 + 6*c + 11. What is the units digit of g(-4)? 3 Let m = 97 + 188. What is the hundreds digit of m? 2 Suppose 0 = -2*a + a + 3. Suppose -4*l - 2*n = -78, -l + 0 = 5*n + 3. Suppose 0 = j + 3*y - 5*y - 8, -a*j = -5*y - l. What is the units digit of j? 4 Let n be 2 + 2*(-18)/(-4). Suppose b - 3*b + 9 = -3*c, -b - 5*c = -n. Suppose -29 = -3*r - y, -r - b*y + 2*y - 5 = 0. What is the tens digit of r? 1 Let s(c) = -c**2 + 13*c - 9. Let b be s(9). Let k = 49 - b. What is the units digit of k? 2 Let d(m) = 2*m**2 - m + 6. Let l(v) = -1. Let c(w) = d(w) + 6*l(w). Let a(i) = i**2 - 3*i - 1. Let r be a(3). What is the units digit of c(r)? 3 What is the tens digit of 6/(28/8 - 3)? 1 Let f(v) be the second derivative of -v**5/20 - v**3/6 - v**2 + v. What is the units digit of f(-2)? 8 Let j be 6*-14*(-3)/12. Let w = j - 1. What is the tens digit of w? 2 Let j(k) = k + 7. Let i be j(-7). Suppose i*p = -4*p + 20. Suppose -4*x + p*h = -25, -35 = -5*x + 4*h + h. What is the units digit of x? 0 Let b(p) = p**2 + 6*p - 7. What is the tens digit of b(-10)? 3 Let y = -101 - -173. What is the units digit of y? 2 Let l(c) = -c**2 - 6*c - 2. Let x be l(-5). Let j(d) = -8*d - 4 - 10*d**2 + 0 - d**3 - x*d + 2. What is the units digit of j(-9)? 6 Suppose 4*q - 2*l - 24 = 0, 3*l - l = -2*q + 6. Suppose q*n - 124 = 11. What is the tens digit of n? 2 Suppose 0*j = 2*j. Let x = 5 + -8. What is the units digit of (j + 3)/((-1)/x)? 9 Let f be 33*(28/3)/7. Let d = f + -16. What is the tens digit of d? 2 Let z(p) = -3*p + 5*p + 4*p + p**2. Let y be z(-5). Let o = 16 + y. What is the units digit of o? 1 Let p(o) = o**3 + 8*o**2 + 8*o + 1. Let n(a) = a**3 + 3*a**2 - 2*a + 1. Let f be n(-4). Let b be p(f). Let j = 10 + b. What is the units digit of j? 4 Let v(h) = 0 + 2*h**2 + 4 - 3*h**2 + 4*h. Let c be (40/(-15))/(4/(-6)). What is the units digit of v(c)? 4 Let u = 5 + -7. Let t(g) = 4*g**2 + 2*g - 1. What is the tens digit of t(u)? 1 Let s = -27 - -52. What is the units digit of s? 5 Suppose 5*s = 10*s. Suppose -i + 9 = -g, s = 2*i + g - 6 - 6. What is the units digit of i? 7 Let a = 49 + -14. Let r = 15 - a. Let s = r - -30. What is the tens digit of s? 1 What is the tens digit of (-5)/(-1) + -1 - -29? 3
Expand (7*a - 9*a + 9*a)*(5*a**2 - a**2 - 2*a**2). 14*a**3 Expand -15*y**2 + 12*y**2 - y + 1 - 2*y**3 - y + (3 - 3 + y**2)*(0*y + 4*y - 3*y) + 2*y**3 + y**3 + y**3. 3*y**3 - 3*y**2 - 2*y + 1 Expand (-4*q + q**2 + 4*q)*(-3*q**2 - q**2 + 3*q**2) - 4*q**4 + 3*q**4 - 2*q**4. -4*q**4 Expand -5*s**2 + 7*s**3 + 5*s**2 + (0*s**2 + 3*s**2 - s**2)*(s + 0*s + 1 + 2). 9*s**3 + 6*s**2 Expand (2 + 1 - 2)*(2*x - 31 + 31) + x + 4 - 4. 3*x Expand (-2*d + d - d)*(-29 + 3*d**3 + 12 + 8)*(2 + 2 - 2). -12*d**4 + 36*d Expand (-5*b**2 - 5*b**2 + 4*b**2)*(2 + 5 - 5 + (4 - 5 + 0)*(-1 + 0 + 0) - 3 + 1 + 4 + 2 + 0 - 8)*(b + 3 - 3). 6*b**3 Expand (a + 2*a + 0*a)*((-3*a**2 - 2*a**2 + 4*a**2)*(-5*a**2 + 4*a**2 + 3*a**2) + 5*a**3 - 5*a**3 + a**4 + 3*a**4 - 5*a**4 - 5*a**4) + 3*a**5 - 2*a**5 - 3*a**5. -26*a**5 Expand -11*g**2 + 8*g**2 + 7*g**2 + 3*g**2 - 3*g**2 - g**2 + (0*g + 2*g - 4*g)*(1 - 1 - g). 5*g**2 Expand (0 + 0 - c**4)*(0 + 1 + 1)*(3*c - 7*c + c). 6*c**5 Expand (-2*v**3 - 22*v - 26*v + 0*v)*(-1 + 0 + 0). 2*v**3 + 48*v Expand 4*v - 4*v - 2*v**2 - v**5 + v + 2*v**5 - v - v**4 + v**4 + v**5 + (-4*v - 2*v**4 + 4*v)*(0 - 2*v + 0). 6*v**5 - 2*v**2 Expand (2*w**2 - w**2 + w**2)*(-w**3 - 2*w**3 + 5*w**3) + (-3*w**4 + w**4 - w**4)*(-2*w + 0*w + w). 7*w**5 Expand 0*n**5 + 2*n**5 - 4*n**5 + (2*n**5 + 3*n**4 - 3*n**4)*(-3 - 2 + 4) - 9*n**5 + 858 - 858 - n**4. -13*n**5 - n**4 Expand -3*t**3 - 4*t**3 + 5*t**3 + (-2*t**2 - 1 + 1)*(-t - t + 0*t) + (0*t - 3*t + t)*(6 + 20*t**2 - 6). -38*t**3 Expand (-2 + 12 + 0)*(a - a - 3*a**4). -30*a**4 Expand (-5 + 4 + 2)*(3*b**2 - 3*b**2 + b**3) - b**2 - 3*b**2 + 3*b**2 - 9*b**3. -8*b**3 - b**2 Expand 4*x**3 + 0*x**3 - 3*x**3 - 4*x**3 + 4*x**3 - 2 - x**3 + (3*x**2 - 4*x**2 - x**2)*(-2*x - 16*x - 8*x). 52*x**3 - 2 Expand (-3*j**5 - j**5 + 3*j**5)*(-3 + 1 + 1) + 64*j + 5*j**5 - 64*j. 6*j**5 Expand (-3*r - 2*r - 3*r)*(-1 - r + 1 + (3 - 2*r - 3)*(-2 - 2 + 2) - 3*r - r + 3*r - r + 3 - 3 + r + 4*r - 2*r). -32*r**2 Expand (-6 + 4 - 5 - 2 + 1 + 2 + (-3 + 4 - 2)*(-3 + 6 - 4) - 1 + 1 + 1)*(-3*o**3 + 5*o**3 - 3*o**3). 4*o**3 Expand -5 - 35*z**2 + 1 + 29*z**2 + (-6 + 3 + 4)*(0*z**2 - 6*z**2 + 5*z**2) - z**2 + 3*z**2 - 3*z**2. -8*z**2 - 4 Expand (4*v + 0*v - 2*v)*(82 + 17 + 25). 248*v Expand -3*p + 8*p + 2 - 12 + (-1 + 2 + 0)*(2*p - p - 2*p). 4*p - 10 Expand (o**4 + 1 - 3*o**4 - o**4)*((-3 + 1 + 3)*(3*o - 2*o + o) + 0*o + o - 2*o - o + 2*o + 0*o). -6*o**5 + 2*o Expand -g**3 - g**3 - g**3 + (-4*g**2 + 5*g**2 - 2*g**2)*(-4*g - 6*g + 0 + 1). 7*g**3 - g**2 Expand (4 + 0 - 1)*((0*c + c - 2*c)*(-c + 5*c - 2*c) - 2*c + c**2 + 2*c). -3*c**2 Expand (p**3 + 2*p**2 - 2*p**2)*(-4*p + p - p)*(2*p + 2*p + 0*p). -16*p**5 Expand (-o - 2*o + 2*o)*(-o**3 + 4*o**3 - o**3 + (0*o**3 - 5*o**3 + 3*o**3)*(-3 - 2 + 7) + 102*o**3 - 6275*o**2 + 6275*o**2)*(-2 - 1 + 2). 100*o**4 Expand (5 - 2*m - 5)*(-1 - 2*m**2 + 1 - m**2 + 2*m**2 + m**2 + (-3*m + 2*m + 2*m)*(2*m - 1 + 1) - 2*m**2 + 3*m**2 + 0*m**2 + m**2 + m**2 - 4*m**2). -2*m**3 Expand (-1 - 2 - 2)*(-2 + 0*x + 0 + x). -5*x + 10 Expand (-1 + 1 + 2*p)*(10*p - 3*p + 10*p). 34*p**2 Expand ((-3 + 3 - 2)*(3 + 1 - 5) + 3 - 6 + 4)*(0*g + 5*g + 2*g) + (-2 + 3 + 0)*(8*g - 2*g - g). 26*g Expand (4*x**2 + 1 - x**3 - 1)*(-6*x + 3*x - x). 4*x**4 - 16*x**3 Expand (2 + 0 - 3)*(-3*u**3 + 4*u**3 + 0*u**3) + (-1 + 0 + 0)*(-3*u + u - u)*(-2*u**2 + 0*u**2 + 6*u**2). 11*u**3 Expand -3*m**2 + 9*m**2 - 13*m**2 + 0*m - m**2 + 0*m + (-2*m + 2*m - 2*m)*(2*m + m - 2*m). -10*m**2 Expand f**3 - f**3 - 2*f**5 + (0*f + f + 2*f)*(3*f**4 + 0*f**4 - f**4). 4*f**5 Expand (3*f + 0*f - 4*f)*(-2 + 6 + 0). -4*f Expand (10*o - 156*o - 133*o + 36*o)*(5 - 5 + 1). -243*o Expand -5*h**4 + 2*h**5 + 5*h**4 + (4 - h**2 - 4)*(-3*h**3 - 12*h**3 - 5*h**3) - h**4 - h - h**5 + h**4. 21*h**5 - h Expand b**3 + 0*b**3 - 3*b**3 + 2*b + b**3 - 2*b + (-b**3 + 3*b**3 + 0*b**3)*(2 + 1 - 4) + 0*b + 0*b - b**3 - b**3 - 10*b**3 - 4*b**3. -19*b**3 Expand (2 - 1 - 4 + w)*(0 - 1 + 3)*(1 + 2 + 0). 6*w - 18 Expand -4*v**5 - 4 + 4 + (0*v + 4*v - 2*v)*(-3*v**4 + 2*v**4 + 2*v**4). -2*v**5 Expand (-a**2 - 2*a**2 + 0*a**2)*(-1 + 1 - 2*a**3 + (-2*a + a + 0*a)*(0*a**2 + a**2 - 2*a**2) - 5*a - 2*a**3 + 5*a). 9*a**5 Expand (0 + 1 - 2)*(-2*s - 5 - 1 + 4). 2*s + 2 Expand 0*y**4 + y**3 - 2*y**4 + 5*y**4 + (-2*y**2 + 8*y**2 + 0*y**2)*(-4 - 2*y**2 + 4). -9*y**4 + y**3 Expand 3*q - q**5 - 3*q - 3*q**5 + 4*q**5 - 2*q**5 + (2*q**2 + 9*q - 9*q)*(-3*q**3 + 2*q**3 + 0*q**3). -4*q**5 Expand (-t - t + 0*t)*(-4*t**3 - 2*t**3 + 4*t**3 + (2 - 2 + 5*t**2)*(-2 + 2 + t) + (6 - 4 - 4)*(-t**3 - 2 + 2))*(-2*t + 0*t + 5*t). -30*t**5 Expand (-a + 6*a - 4*a)*(44 + 1 + 12). 57*a Expand (66*n + 82*n - 14*n)*(-6 + 2 + 3). -134*n Expand (0 + 3 - 1)*(-4 - 2 + 3)*(-3*p**4 + 4*p**4 + p**4 + (-2*p + 5*p - p)*(p - 2*p**3 - p)). 12*p**4 Expand (2 - 2 + 2*h)*(5 + 0 - 4)*(4 - 2 - 1)*(-1 - 3 + 1). -6*h Expand ((j**4 + 2*j**4 - j**4)*(j + 0*j + 0*j) + 0*j**4 + j**5 + 0*j**4 - j**2 + j**2 - j**5 + (-2*j + 3*j + 2*j)*(-j**4 + 5*j**4 - 5*j**4))*(3 + 4 - 4). -3*j**5 Expand -5 + 5 + 9*n - n - 2*n + 4*n + 2*n - 2*n + 2*n + (4 + 3 - 5)*(-3*n + 3*n - 2*n) + 3*n - 3*n - n + 5*n - 4*n - 2*n. 6*n Expand (-4 + 0 + 0)*(21 + 5*n - 21). -20*n Expand (-y + y + 2*y)*(3*y**4 - 3*y**4 - 2*y**4) + (y**2 + y**2 + y**2)*(-8*y**2 + 5*y**3 + 8*y**2). 11*y**5 Expand 128 + 25*g**5 - 128 + (-2*g**2 + 4*g - 4*g)*(4*g**3 - 4*g**3 + g**3). 23*g**5 Expand (-5 - 1 + 3 - 2*y)*(1 + 0 + 2)*(0 + 0 + 2)*(-3*y**2 - y**2 + 3*y**2). 12*y**3 + 18*y**2 Expand (-2 - 5 - m + 5)*(19*m - 3*m + 2*m). -18*m**2 - 36*m Expand (-4 - 2*q - 5 + 7)*(q**3 - 3*q**3 + 0*q**3). 4*q**4 + 4*q**3 Expand (2*w + 2 - 1 + 3)*(w - 5*w + 2*w). -4*w**2 - 8*w Expand (-2*c**3 - 2*c**3 + 3*c**3)*(0*c + 4*c - 2*c)*(0*c + 8*c + 3*c). -22*c**5 Expand (-14*h + 14*h - 28*h**2)*(-2*h + h + 2*h)*(3 + 2*h - 3) - h**2 + h**2 + 2*h**4. -54*h**4 Expand (0*f - 4*f - 5*f)*(4*f**2 - 4*f**2 - f**2) - 7*f**3 + 4 - 3 + 3*f**3. 5*f**3 + 1 Expand (4*s - 2*s + 2*s)*(-696 + 32*s + 696). 128*s**2 Expand (0 - u + 0)*(1 + 5 + 0)*(0*u**3 - 2*u**3 + 4*u**3). -12*u**4 Expand -c**3 + c**2 + c**3 + c**4 + (-79*c - 45*c - 8*c)*(3*c**3 - 3*c**3 + 2*c**3). -263*c**4 + c**2 Expand (1 + 3 - 15)*(4*g**3 + g**3 - 4*g**3). -11*g**3 Expand q**2 - 6*q**2 + 3*q**2 + (0 + q + 0)*(-1 + 1 - q) - 4*q**2 + 0*q**2 + q**2 + (-4*q + 19 - 19)*(0*q + 3*q - q). -14*q**2 Expand (-2*j + j + 0*j)*(-j - 2*j + j) - 1 + 18*j**2 - 14 + 15. 20*j**2 Expand (-2*n + 0*n + n)*(2 - 4 - 1). 3*n Expand (-18*o**3 - 485 + 485)*(-2*o**2 - 2 + 2). 36*o**5 Expand (15 - 15 + 2*l)*((-3*l - 3*l + 4*l)*(-l**3 + 2*l**3 + 0*l**3) + l**4 + l**4 - 4*l**4 + 0*l + l**4 + 0*l - 2*l**2 - l**4 + 2*l**2). -8*l**5 Expand 0*s**5 + 0*s**4 - s**4 - s**5 - s**2 + s**5 + 0*s**5 + 3*s**5 - 2*s**5 + s**5 + 2*s**5 + (s + 3*s - 2*s)*(-3*s + 3*s + 2*s**4). 8*s**5 - s**4 - s**2 Expand (-699*k + 0*k**3 + 700*k - 2*k**3 - 3*k**2)*(-2*k + 0*k + 0*k). 4*k**4 + 6*k**3 - 2*k**2 Expand 2*j**2 - 2*j**2 - 2*j**3 + (2*j - 2*j - 2*j)*(3*j**2 - 5*j**2 - 9*j**2). 20*j**3 Expand (-3*k + 3*k + 2*k)*(250*k**2 + 2 - 4 - 256*k**2). -12*k**3 - 4*k Expand (-2*g + 5*g - 2*g)*(9 + 12 - 10)*(-4 - 1 + 4)*(2 - 4 + 1). 11*g Expand (-4 + 1 + 2 + (1 - 2 + 3)*(6 - 3 - 2))*(-5*h + 5*h - h)*(-5 + 4 + 2). -h Expand (p - 2*p + 3*p)*(-2 + 0 + 3) - 5*p + p + 6*p - 3*p + 5*p - 3*p + 5*p - p - 2*p + (-3 - 1 + 3)*(-3*p + 4*p - 3*p). 7*p Expand (-4 - 5 + 6)*(-2*u**4 + 2*u**4 + 2*u**4 + u**3). -6*u**4 - 3*u**3 Expand (0*n - 5*n**2 + 0*n)*(2*n + 0 + 0). -10*n**3 Expand (-l**3 - 3*l**3 + 2*l**3)*(-l**2 - l**2 + 0*l**2) + l + 17*l**4 - 17*l**4 - 6*l**5. -2*l**5 + l Expand 4*j**2 - 4*j**2 - 2*j**3 + (-j + 3*j**3 + j)*(-3 - 1 + 3)*(-3 + 3 + 3). -11*j**3 Expand (t**3 + 0 + 0)*(5*t - 3*t + 2*t)*(0*t + 4*t - 2*t). 8*t**5 Expand (-4*p + p + p + (-4 + 2 + 1)*(0*p - 2*p + p) - 11*p - p - 7*p)*(p**4 - p**2 + p**2 + 2). -20*p**5 - 40*p Expand (0 - 6*g**3 + 0)*(g - g**2 - g + (0 - 1 + 0)*(2*g - 2*g - g**2) - 4*g + 4*g + g**2 + 2*g**2 + g**2 - g**2). -18*g**5 Expand (3*t - t - 4*t)*(2*t**4 + 0*t**4 - t**4) + (-t**4 + t**4 - t**4)*(0*t - t + 3*t) + t**5 + 4*t**5 - 3*t**5. -2*t**5 Expand (-4*x**3 - 2*x**3 + 4*x**3)*(-14*x**2 + 0*x**2 + x**2) - x**5 + 3*x**3 - 3*x**3. 25*x**5 Expand 0 + m**4 + 0 + 436*m - 436*m - 8*m**4 + (-1 + 6 - 3)*(0 + 0 + m**4). -5*m**4 Expand (-113*b + 113*b + 41*b**3)*(-2 + 2 + 2*b**2 + (5*b - 5*b - b**2)*(-1 - 3 + 3)). 123*b**5 Expand (-7*q - 4*q + 4*q)*((-5 + 3 + 4)*(-2 + 2 - q) + 0*q - 2 - 3*q + q). 28*q**2 + 14*q Expand (119 - 3*g - 248 + 126)*(-g**2 + g**2 - g**2). 3*g**3 + 3*g**2
Suppose -55*v + 18*v + 185 = 0. Suppose 5*z = 3*x - 76, 10*z - v*x = 8*z - 38. Is -12 greater than z? True Suppose 0 = 330*l - 63*l + 729711. Which is smaller: l or -2730? l Let r(o) = 5*o + 16. Let w be r(-2). Suppose 5*d = 15, 4*d = -3*x + d + w. Are x and 50 equal? False Let x be ((-2)/(-6))/(18/4). Suppose -5*v - 27 = -q, -3*q - v + 64 = 47. Let i be (-6)/21 + (25/q)/(-5). Is x greater than i? True Suppose 0 = -4*n + 3*o + 3, 4*n + 5*o - 10 = -47. Let j = 70 + -74. Let y be j/6 + (-32)/(-48). Which is smaller: y or n? n Let f = 1.056 - -2.944. Which is bigger: f or 15.6? 15.6 Let s = 9470 + -6391. Which is bigger: 3080 or s? 3080 Let u = 50 - 42. Let p be (81/4)/((-3)/u). Which is smaller: 0 or p? p Suppose -5*a + 5*v - 149 = -59, -3*v - 58 = 4*a. Let h = -449 + 443. Let i be a/h + -2 + 1400/(-75). Which is greater: -71/4 or i? -71/4 Suppose -122*w - 50 = 5*g - 124*w, 65 = -5*g + 5*w. Is -541 at most g? True Suppose v = -4, -25 = 4*j - 2*v + 15. Which is smaller: j or 1? j Let i be -4 + 74 + (-6)/(-1). Let k = -410 + 485. Which is bigger: i or k? i Let h be (-8468)/46 - ((-4080)/368 + 11). Which is smaller: -193 or h? -193 Let f be ((-1378)/(-39) - 8)*84/(-8). Which is bigger: f or -296? f Let g be (-4)/4*(22/8)/(-11). Which is smaller: 1/345 or g? 1/345 Let x(o) = o**2 + 29*o + 98. Let q be x(-28). Let j be (-6 - (-422)/q)/(-1). Which is smaller: 0 or j? j Let j(c) be the first derivative of -4*c**2 - 73*c + 117. Let d be j(-11). Is d less than -7? False Let n = 0.534 + -22.574. Let o = -1.04 - n. Let c = 0.01 - 1.01. Is o greater than c? True Let f be (6/(-9))/((-6)/(-9)). Let k = 12506/157675 - 36/425. Is f <= k? True Let x = -210 - -204. Suppose -5*w + 38 + 7 = 0. Let p be (57/w)/(0 - 1). Do x and p have different values? True Let b(v) = -v**3 - 19*v**2 - 4. Let l be b(-19). Let y be -1 + l + (4 - -17). Let p be (y/(-40))/((-1)/15). Are p and 8 non-equal? True Let l = -145 - -139. Let g = 44/7 + l. Let y = -14 - -6. Which is smaller: g or y? y Suppose 11 = -7*q + 8*q + 10*q. Is q smaller than 18/1205? False Suppose 7215 = 27*a - 42*a. Let i = a - -370. Which is smaller: -113 or i? -113 Let z(i) = i**2 + 12*i + 6. Let u be z(-12). Suppose 0 = -n - 1, 3*m - u*m + n = -49. Let r be (-12)/m*(-1)/8. Which is bigger: r or 0? r Let i = 1448 - 1009. Let b = i + -436. Which is greater: b or 2/37? b Let z = 31068281599/38127 - 814863. Are z and 0 equal? False Suppose 81 = -25*c + 56. Let y = 158 - 230. Let w be (-308)/y - (2 + 2). Which is smaller: w or c? c Let q = 47 + 93. Let s be (9 - 1359/153) + q/(-34). Is s at least as big as -30? True Let t = 486 + -502.7. Let x = t + 16.67. Which is bigger: 0.32 or x? 0.32 Let r = -6255 + 969528/155. Let d(z) = -z**2 + 6*z - 1. Let y be d(6). Which is bigger: r or y? r Let f be 0/(-1 + -2 + 4). Let s be (f - 1)/(54/24). Let n = 31.9 + -32.1. Which is smaller: s or n? s Suppose -34 = -2*i + 22. Let b be (-14)/(-2) + -12 + 12. Let l(y) = 2*y**2 - 9*y - 8. Let n be l(b). Which is smaller: i or n? n Suppose 141 - 519 = -21*k. Suppose 2*u + k*u = 0. Which is smaller: -2/487 or u? -2/487 Let b = 299/8 - 829/24. Do b and -1/23 have the same value? False Let p be ((-12)/10)/((-18)/60). Suppose -2*j - k + 17 = 0, -9*k + 8 = -j - p*k. Is j <= -1? False Let j be (8/(72/45))/(0 + 1). Suppose 0*w + 6 = -5*v - 3*w, -3*v = -3*w - 6. Suppose j*c = 6*c + 5*s, v = 5*c - 5*s. Which is greater: c or -2/33? c Let u = -465 - -394.5. Let v = 82.6 + u. Which is smaller: -1/2 or v? -1/2 Let t(y) = -y**3 + 6*y**2 - 10*y + 14. Let f be t(6). Let l(x) = -49*x**3 + x**2 - x + 1. Let o be l(1). Which is bigger: o or f? f Let s = 17964 + -13551. Which is bigger: 4414 or s? 4414 Suppose -9*x + 12 - 390 = 0. Let n = x - -36. Let p be -2 - n - 126/31. Which is smaller: p or 1? p Let k = -636 + 634. Is k smaller than -41/29? True Suppose -16 = -4*q + 2*w, -6*w - 4 = 2*q - w. Suppose 3*u + 2719 = 4*n - q*n, 2*u - 3*n = -1815. Let i be (-1516)/u - 5/3. Which is smaller: -1 or i? -1 Suppose 5*a + 3*a + 3*l + 1703 = 0, -4*l + 654 = -3*a. Is a smaller than -209? True Suppose -134904 = 71*a - 19*a + 21*a. Which is smaller: -1846 or a? a Let u be (-15)/(-10)*16/10932. Let y = u + -6411/15487. Which is bigger: -1 or y? y Let t(z) = -6*z**2 - 12*z - 23. Let w be t(-10). Let a = 467 + w. Which is greater: a or -35? -35 Let w = -7121 + 7120. Is w at most as big as -3/158? True Let l be 2/6 + 4640/120. Let v be 6*1/9*l. Is 26 less than or equal to v? True Let m(b) = 3170 + 0*b + 6*b - 3307. Let x be m(15). Which is greater: x or -45? -45 Let d = -0.57 - -0.4885. Let r = 0.5085 - d. Which is smaller: -2/13 or r? -2/13 Let l = -25 + -1. Let j = 128 - 102. Let s = l + j. Is s equal to -2/5? False Let k = 48776.876 + -48777. Let b = 5 - 5. Is k greater than or equal to b? False Let p be ((42/(-24))/((-84)/24))/(2/(-20)). Which is greater: 133 or p? 133 Let y be (-3)/7 - (-2)/(-14)*3259. Are -462 and y nonequal? True Suppose -44*o = -42*o - 180. Suppose 5*b + 123 = -4*f, -3*b + 3*f - o = -0*b. Is -26 != b? True Suppose -28 = 7*v - 0. Let i be (v/13)/(-2) - 249536/(-146432). Let u = i + 9/176. Which is greater: u or 3? 3 Suppose 13*n + 39*n + 230*n = 48*n. Do -2/13503 and n have the same value? False Let b = 1471.8 + -1472. Are b and 1092 unequal? True Let n(y) be the second derivative of 13*y**3/6 + 33*y**2 - 142*y. Let k be n(-6). Let g = -20 + 9. Is k smaller than g? True Let j = -60 - -64. Let p be (1 - 3/6)*1. Let n = -3/10 + p. Which is bigger: n or j? j Let g = -726040 + 268634963/370. Let t = g + -3/74. Is 82 != t? True Suppose 6*d + 226 + 1580 = 0. Let l = 202 + d. Let v = l - -57. Is v bigger than -0.1? False Let s = -0.25905 - -0.04905. Is s > -76? True Let n = -12941 + 12906. Which is greater: -2 or n? -2 Suppose 2*n + 752 = y, 0 = -7*n + 3*n + 4. Let l = 678 - y. Is l > -75? False Suppose 5*v + 32626 = -2*t, 3*v + 3*t + 12031 = -7559. Which is greater: v or -6523? v Let z be (10/(-15))/(4/72*-4). Suppose -7*k + 21 = -m - 4*k, z*k = 3*m + 69. Suppose 3*n + 33 = -3*l - 30, -17 = n + 2*l. Which is greater: n or m? m Let n be (1413/18)/(5 - (-217)/(-42)) - 4. Which is bigger: n or -482? n Suppose 4*s = -s - 100. Suppose 54*z - 49*z = 125. Suppose -5*c = -2*j - z, -3*j + 4*c = c + 51. Is s >= j? True Suppose 13*k + 715 - 13 = 0. Let n be (-6)/21 + (-383)/7. Are n and k unequal? True Let y(l) = 5*l**2 - 4*l + 4. Let z be y(2). Suppose 18*g - 2*g = -128. Let a be g/(-20) - 252/(-20). Do z and a have different values? True Let d = -0.1589 + 74.1589. Let x = -67 - -68. Does x = d? False Let m be 4 - 0 - 6/3. Let c = 296 + -284. Let u be (-462)/(-55) - (c/15)/2. Which is bigger: m or u? u Let t = -24 - -23.74. Let q = t + 0.36. Let k = -126 + 99. Which is smaller: k or q? k Suppose -7480 = 2*w + 5*c, -42*w = -46*w - 3*c - 14974. Do -3746 and w have different values? True Let s = 1/25179 - 56291861/251790. Let r = s - -674/3. Which is smaller: -1 or r? -1 Let u be (-8)/14 + (-61)/(-21) + -1. Let q = 10.6 + -67.6. Let v = q - -57.2. Is v != u? True Let n = -101 + 194. Let q = n + -81. Is q <= 1? False Suppose -y + 24 = 5*y. Let u(k) = 7*k**2 + 5*k - 26. Let d be u(y). Is 107 equal to d? False Let r(g) = -2*g + 68. Let i be r(-11). Let o = i + -82. Let d(x) = x**2 - 5*x - 16. Let c be d(o). Is c at least as big as 8? True Let d(y) = 17*y - 67. Let x(n) = -17*n + 70. Let q(k) = -6*d(k) - 5*x(k). Let u be q(3). Is u != -1/66? True Let a = -9822 - -9820.691. Is a <= 4? True Suppose 1498 + 4954 = -2*o + 2*p, -5*p + 12902 = -4*o. Which is greater: o or 1? 1 Let o(a) = -17*a - 112. Let x be o(-7). Let t be 7/(-1)*(6 - x). Is 3 greater than t? False Let q(r) = r**3 + 6*r**2 + 12. Let i be q(-6). Let p be 10*18/30 - i. Which is smaller: -4 or p? p Let b be (-4)/(-14) + 1304/(-7). Let s(w) = 46*w**3 + 553*w**2 + 8*w - 235. Let z be s(-12). Does b = z? False Let g = 4/923 - -1514/76609. Which is bigger: g or -6.6? g Let q be (-3)/((-9)/552)*18/24. Let r be (-558)/q - (0 - 5). Which is smaller: r or 0? 0 Suppose -59*v = -0*v - 59. Which is smaller: v or -1568? -1568 Let k be 7 - (-11)/297*-471. Suppose 0*i = -4*i - 44. Which is greater: i or k? k Let f = -142 + 171. Let o(c) = -c**3 + 28*c**2 + 26*c + 65. Let w be o(f). Let r = -30 - -8. Are w and r non-equal? False Suppose -23*c - 349*c = -184*c - 128592. Which is greater: -18 or c? c Let j = -1391/398 + -1/199. Let v = 4 + j. Let n = -146 - -145.91. Is n at least v? False Suppose v = 3*z - 5*z + 469, -3*z - 924 = -2*v. Let t = v - 352. Is t <= 114? True
Solve t - 5*t = -12, -j = -4*t + 9 for j. 3 Solve 2*j - 3*q = 18, 4*q + 16 + 0 = 0 for j. 3 Solve c - 6 = -5*k, 2*k - 33 + 30 = -c for k. 1 Solve -4*k - 24 = 4*t - 0*k, t = k + 2 for t. -2 Solve -3*q - p + 8 = 3, -4*q = -4*p - 28 for q. 3 Solve -5*o = 3*f - 17, -3*o + 6 = -4*f - 10 for o. 4 Solve -1 = -3*f - g - 2, -4*g = -5*f - 13 for f. -1 Solve 5*r - 15 = 2*q, q - 56 = 3*r - 64 for q. -5 Solve 0 = -4*v + 810*l - 807*l + 4, -l = -5*v - 6 for v. -2 Solve -n - 3*n - 2*b = -4, b = 4*n + 8 for n. -1 Solve 10*p = 5*p + 3*w - 10, -3*w + 19 = 4*p for p. 1 Solve -4*l + t = 4, -2*l + 3*l + 3*t + 1 = 0 for l. -1 Solve 5*w = 2*q - 2 + 3, -5*w = 5*q - 15 for w. 1 Solve 3 = -5*n + 2*a, a = -4*n + 2*a for n. 1 Solve 382*z = 386*z - 5*x + 1, -5*x + 4 = -z for z. 1 Solve -4*k - 3*c - 36 = -22, -2*c - 6 = 2*k for k. -5 Solve 5*i + 3*t = -37, 2*i - i + 17 = -3*t for i. -5 Solve 4*s - 4 = 0, b - 32*s = -34*s + 1 for b. -1 Solve -4*v - 3*a = -18, 2*a - 3*a = -2*v + 4 for v. 3 Solve 4*c + 3*r = 35, 4*c - 2*r = 53 - 43 for c. 5 Solve -12 = -3*t - 5*b, -3*t - 16 = -4*b - 1 for t. -1 Solve 0*h - 2*h - 3*t + 1 = 0, 0 = -4*h + t - 19 for h. -4 Solve 8*r + 5*w = 11*r + 8, 4*r + 4*w - 32 = 0 for r. 4 Solve -n - 4*z + 25 = 0, 3*n - 6*n - 3*z + 30 = 0 for n. 5 Solve s - 4*s + 22 = l, -s - 16 = -3*l for s. 5 Solve 4*p - 4*k - 12 = 0, k = -p - 3 + 8 for p. 4 Solve -a = 5*p + 30, a - 2*p - 7 + 2 = 0 for a. -5 Solve 0 = 2*q + x - 3*x, 5*q = x for q. 0 Solve 3*b + p = -14, 3*b = 6*b - 4*p + 4 for b. -4 Solve 5*a + 2*i - 14 = i, 4*i = -5*a + 26 for a. 2 Solve 3*p = -2*n + 14, -4*n - 3*p + 16 = -0*p for n. 1 Solve -4*a = -4, 0 = -3*u - 0*a + 3*a - 15 for u. -4 Solve -u = -f - 10, -2*u + 0*u + 38 = -4*f for f. -9 Solve -t - 6 = k - 0*t, 0 = -3*k - 5*t - 20 for k. -5 Solve 2*o - 23 = 5*t, 2*o + t - 42 = -37 for o. 4 Solve -s - 16 = 5*m, -222*m + 10 = 5*s - 227*m for s. -1 Solve 2*m + 2*u + 6 = -2, -2*u = 4*m + 18 for m. -5 Solve -9*z + 12*z - 24 = 4*l, 3*z - 9 = -l for l. -3 Solve 4*k = 3*i + 20, 4*i + 5*k = 8*i + 26 for i. -4 Solve 2*j + 147 = 149, 2 = -4*c + 2*j for c. 0 Solve 4*p + d - 14 = 0, 3*p - 5*p + 2*d + 12 = 0 for p. 4 Solve -2*q - 12 = -f, 208 - 219 = 2*f + 3*q for f. 2 Solve 0 = 2*g + h + 9, 3*g - 7*h = -4*h for g. -3 Solve 2*p + 6 = -2*n, -59*n + 56*n = p + 1 for p. -4 Solve 8 = 2*d + n, 2*n = -5*d - 9 + 27 for d. 2 Solve 4*q + 2 = -2*j - 0, 5*j + 13 = -2*q for q. 1 Solve -2*r = 3*n - 6, -11*n + 9*n + 4 = 0 for r. 0 Solve 3*l + 2*z = -3, 9*z + 11 = -4*l + 4*z for l. 1 Solve 0 = -4*p + 4, -16*h + 3*p - 11 = -14*h for h. -4 Solve -5*p + 13 = -0*p - 3*z, -5*p = 2*z - 33 for p. 5 Solve -x + 22*o - 17*o = 21, -2*x - 5*o + 18 = 0 for x. -1 Solve -4*c = 12, 3*i - 3*c = 11 - 8 for i. -2 Solve -4*r + 1 = 4*a - 7*a, 0 = a + 5*r - 25 for a. 5 Solve 0 = -6*x + 2*x + s - 5, 3*x + 18 = -4*s for x. -2 Solve 5*o = 5*s + 4*o - 8, -3*o = -6 for s. 2 Solve 7*z + 16 = 9*z + 5*i, 5*i = -4*z + 22 for z. 3 Solve u - x + 2 = 0, 5*u - 3*x + 6*x - 22 = 0 for u. 2 Solve 4*f + 5*k + 27 = f, 14 = -5*f + 2*k for f. -4 Solve -3*o + 6 = 0, -2*o = 2*z - 7 - 3 for z. 3 Solve -m = -2*m - 5*a + 8, -a = m for m. -2 Solve 4*x = -41*g + 42*g + 13, 0 = -3*g + 4*x - 23 for g. -5 Solve 6*v + p + 4 = 7*v, -2*p - 3 = 3*v for v. 1 Solve 0 = 2*p - 3*p + 3*w - 10, 4*p + 3*w - 5 = 0 for p. -1 Solve -4*a + 3*u = 3, 0 = 2*u - 218 + 208 for a. 3 Solve 3*z - 4 = -5*r, -2*r + 1 = z - 0 for r. -1 Solve 30 = 5*r + 5*x, -26 = -5*r - 4*x - 1 for r. 1 Solve 10*p = 9*p + x - 9, -21 = -3*p - 5*x for p. -3 Solve 3*z + 40 = 5*o, -9*z - 5*o = -10*z - 30 for z. -5 Solve -14 = -d - 2*x, -22*x - 23 = -2*d - 25*x for d. 4 Solve -c - 1 = 2*l, -5*c + 5*l + 6 = -19 for c. 3 Solve s + 5*v = -21 - 5, 25 = -5*v for s. -1 Solve 0 = -4*h + n + 18, 16 = 4*h - 17*n + 15*n for h. 5 Solve 0 = -2*v - 2, 27*v - 11 = 2*i + 28*v for i. -5 Solve -w - o = 5, -18*w + 16*w - 4*o - 12 = 0 for w. -4 Solve -13*f + 12*f + 5 = v, -2*f - 14 = -2*v for v. 6 Solve -3*x + 20 = -5*b, 0 = 4*b + 4 for x. 5 Solve -3*h = 3*s, h + 0*h = -5*s - 12 for s. -3 Solve 0 = -5*c, 4 - 19 = -3*n + 4*c for n. 5 Solve 3*i + 5*h - 8 = 3*h, 0 = -5*i - h + 11 for i. 2 Solve -5*s = -5*m + 5, -17*s + 16*s = -2*m - 1 for s. -3 Solve -17*s + 15*s - 27 = 5*y, -5*y - 25 = 0 for s. -1 Solve -2*w - 2*y = -42 + 32, -2*w + 5*y = 18 for w. 1 Solve 2*o - c = -12, -3*o - 11*c + 8 = -6*c for o. -4 Solve 8*x - 3*x = 2*m + 16, -4*m - 8 = 2*x for m. -3 Solve 9 = 4*z + 2*s - 5*s, -3 = z + s for z. 0 Solve -5*s - b - 4*b = 0, 0 = -3*s - 5*b for s. 0 Solve 3*d = 6*q - 2*q - 24, 3*d + 12 = 0 for q. 3 Solve 3*u - 2*z - 5 = 0, 0 = u + 2*z - 3*z for u. 5 Solve 4*m + 16 = -3*s + 11, 4*m = 2*s + 10 for s. -3 Solve 2*g - 2 = 2*r + 2*r, 4*r = 4 for g. 3 Solve 0 = 3*y - 73*t + 78*t - 15, 2*y - 12 = -4*t for y. 0 Solve h = o - 3*h + 22, -4*h = -20 for o. -2 Solve -2*c + 4*h + 28 = -2, 4*h = -5*c + 5 for c. 5 Solve 2*p + 19 = -3*p + 3*i, -4*p + 3*i - 14 = 0 for p. -5 Solve 2*o - 18 = -4*v, v + 15 = -2*o + 24 for v. 3 Solve 3*m - 1 = -2*k, -m = -5*k - 6 - 17 for k. -4 Solve 12 = -3*i, 5*t + 5 + 18 = -2*i for t. -3 Solve -3*a - 3*z + 6 = -8*z, 0 = 4*z for a. 2 Solve -26 = m + 3*t - 16, 2*m + 2*t = -8 for m. -1 Solve -i + 5*j + 14 = j, 5*j + 15 = 0 for i. 2 Solve 4*u + 28 = -48*r + 43*r, -3*r - 14 = u for r. -4 Solve -4*t - 6 = 47*n - 50*n, 0 = 4*t + 2*n + 16 for t. -3 Solve -x = 3*p + 1 - 2, -5*p - 4*x = 3 for p. 1 Solve -2 = -w - 3, -2*j = 5*w - 1 for j. 3 Solve -7 = 5*k - a, -a - 2*a = 9 for k. -2 Solve u - r + 5 - 4 = 0, -5*u - 1 = -3*r for u. 1 Solve -2*m + 22 = -5*m + 5*y, m + 4*y - 4 = 0 for m. -4 Solve 0 = -2*b + 3*z + 2, 2*b + 3*z - 2 = -2*z for b. 1 Solve -4*x - 6*w - 36 = -2*w, -4*w - 33 = 3*x for x. -3 Solve 4*r + 4*h + 28 = 0, -r + 3*h = 9 - 10 for r. -5 Solve 3*j - 12 = 2*d, j + 2*d = 132 - 136 for j. 2 Solve -5*z - 2*f + 14 = 0, z = -0*f - f + 4 for z. 2 Solve -22 + 8 = 2*p - 4*k, 5*p + 2*k = 13 for p. 1 Solve 0*t - 5*t = 3*w - 11, -4*t - 4 = -4*w for w. 2 Solve 0 = 5*i + 4*b - 40, 4*i + 203*b = 208*b - 9 for i. 4 Solve u - 2*r + 3 = 0, 0 = -5*u + 47*r - 42*r - 15 for u. -3 Solve -i - 3*y - 20 = 0, 4 = -i - 5*y - 26 for i. -5 Solve 5 = -g - 4*x, -86 + 80 = -4*g - 3*x for g. 3 Solve 4*m + 51 - 39 = -5*i, -3*m = 2*i + 2 for m. 2 Solve 3*i = -5*x + 27, -47*x - 5*i = -49*x - 14 for x. 3 Solve -3*r - 15 = 0, 6 - 16 = -z + r for z. 5 Solve -2*l - 2*l - 2*s + 2 = 0, -5*l - 5*s + 15 = 0 for l. -2 Solve -4*y - 5*n - 13 = 0, -3*y - 32*n - 3 = -35*n for y. -2 Solve -3 = -z, -3*d = z + 2*z - 15 for d. 2 Solve -25 = -5*m, -2*v + 3 = 5*m - 4*m for v. -1 Solve 0 = 3*q - q - 2*x - 12, -x = -4*q + 9 for q. 1 Solve 5*u = 2*k + 6, 30*k = -4*u + 28*k + 12 for u. 2 Solve -2*b - 1 = u, 6*u - b + 16 = u for u. -3 Solve 40*u + 16 = 2*y + 45*u + 6, 0 = 3*u for y. 5 Solve 3*t = 4*j, 5*j = j + 12 for t. 4 Solve 130*d - 126*d + i - 16 = 0, 3*d + 3*i - 21 = 0 for d. 3 Solve 0*w - 3*w - 9 = -4*m, 2*m = -w + 7 for w. 1 Solve -b - 6*n + 3*n = 16, -b = -5*n - 24 for b. -1 Solve 6 = 2*c - f, 3*c + f - 19 = -0*c for c. 5 Solve -2*x = 2*x + 3*z - 8, z + 4 = 2*x for x. 2 Solve k + 22*q - 21*q = -2, -6*k = -q + 40 for k. -6 Solve 5*c + 4*a + 35 = 0, 10*a = 8*a - 10 for c. -3 Solve -195*a + 192*a = -3*m, 3*a - 16 = -m for a. 4 Solve 2*s + 8 = 3*u, 2*s = 4*u - 10 - 2 for u. 4 Solve -v + 5*v + 3*l - 8 = 0, l + 4 = 2*v for v. 2 Solve -3*f = 3*t - 6, 6*f - 11*f + 5*t + 50 = 0 for f. 6 Solve 3*p = 2*x - 4, 0*x + x = 5 for p. 2 Solve -2*t + 3 + 12 = -5*x, 4*x + 2*t = -12 for x. -3 Solve 5*l - 23 = 5*q + 17, 2*q - l + 13 = 0 for q. -5 Solve 3*a = t + 10, -9 = -t - 10 for a. 3 Solve -5*b - 5 = -4*v, 5*v = 7*v + 3*b + 25 for v. -5 Solve 2*o + 5*f = -10, 12*f - 15*f - 15 = 3*o for o. -5 Solve 5*q - 5*p - 12 = -8*p, -4*p - 4 = 0 for q. 3 Solve 3*t = x + 4, -5*t = -2*t - 2*x - 2 for t. 2 Solve 4*c - 10 = -5*f, -f - 21*c - 12 = -23*c for f. -2 Solve 3*v + s = 7, -25*v = -26*v + 2*s for v. 2 Solve 5*i = 3*k, 38*k - 39*k = 4*i for i. 0 Solve 12*u - 10*u - 4 = 0, -u + 14 = -4*i for i. -3 Solve 3*g - 10 = -d - 1, -12 = -3*g - 2*d for g. 2 Solve -s - 9 = y - 7, 0 = 2*y + 4 for s. 0 Solve -n - 5*i = -2, i - 14 = 5*n + 2*i for n. -3 Solve -g - 4 = 2*p, 8 = 19*g - 24*g + 2*p for g. -2 Solve 3*g + 5*k - 15 = 0, 32*k + 10 = 2*g + 30*k for g. 5 Solve o = h + 1 - 2, -2*h = o + 4 for h. -1 Solve -18 - 17 = -4*r + 5*x, 0 = 5*r - 3*x - 34 for r. 5 Solve 3*p - 4*r - 27 = 0, -11 = -p + 3*r + 3 for p. 5 Solve 4*k - 9 = -d, -3*k - 2*k + 6 = 3*d for d. -3 Solve y + 2 = 4*a, a + 6 + 2 = -4*y for a. 0 Solve 9*g + j = 4*g + 23, -5*g + 31 = -3*j for g. 5 Solve 2*f = -2*a + 4*a + 10, 5*f = 0 for a. -5
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224559 What is the next term in -16277, -16265, -16249, -16229, -16205, -16177, -16145? -16109 What is next in -5261, -4009, -1923, 997? 4751 What is the next term in -2100, -2093, -2080, -2061, -2036, -2005, -1968? -1925 What is the next term in 19246, 19229, 19212, 19195? 19178 What comes next: -281, -555, -815, -1067, -1317, -1571, -1835, -2115? -2417 What comes next: 2930, 2954, 3012, 3122, 3302, 3570? 3944 What is the next term in -126, 46, 336, 744, 1270, 1914? 2676 What is next in -59375, -59389, -59403, -59417, -59431, -59445? -59459 What comes next: 4219113, 4219112, 4219111, 4219110? 4219109 What is the next term in 68, 23, -76, -247, -508, -877, -1372? -2011 What is next in 37264, 74530, 111796? 149062 What is next in -100676, -201341, -302006, -402671, -503336, -604001? -704666 What is the next term in -2239, -2381, -2525, -2671, -2819? -2969 What is next in 180, 82, -16? -114 What comes next: -2363, -9420, -21189, -37676, -58887, -84828, -115505, -150924? -191091 What is next in -53043, -106087, -159131, -212175, -265219, -318263? -371307 What is the next term in -365, -401, -437? -473 What is the next term in -1406, -1386, -1340, -1256, -1122, -926, -656, -300? 154 What comes next: -2259, -2312, -2453, -2724, -3167, -3824, -4737, -5948? -7499 What comes next: -3378, -6776, -10182, -13602, -17042, -20508, -24006, -27542? -31122 What is the next term in 18035, 18067, 18089, 18095, 18079, 18035, 17957, 17839? 17675 What is the next term in 1507, 1526, 1561, 1618, 1703, 1822, 1981? 2186 What is next in 1184, 9512, 32110, 76112, 148652, 256864, 407882? 608840 What comes next: 1514, 1497, 1468, 1427, 1374, 1309, 1232? 1143 What is next in 1974, 7901, 17778, 31605, 49382? 71109 What comes next: -64, -183, -378, -649, -996, -1419, -1918? -2493 What is the next term in 7, 1606, 5975, 14500, 28567, 49562? 78871 What is next in -460727, -460726, -460725, -460724, -460723? -460722 What is next in -7767, -31058, -69877, -124224, -194099? -279502 What comes next: 1050, 1072, 1116, 1194, 1318, 1500, 1752? 2086 What is next in -1518, -1545, -1636, -1827, -2154, -2653, -3360, -4311? -5542 What is next in -88438, -88437, -88436, -88435, -88434? -88433 What comes next: -8730, -17395, -26058, -34719? -43378 What comes next: 229, -990, -4297, -10736, -21351, -37186? -59285 What is the next term in -605, -311, 177, 859, 1735? 2805 What is next in -71, 304, 945, 1846, 3001, 4404, 6049, 7930? 10041 What comes next: -9544, -9557, -9590, -9649, -9740, -9869, -10042, -10265? -10544 What comes next: -917, -1891, -2865, -3839? -4813 What comes next: -603, -1452, -2303, -3156? -4011 What comes next: -10405, -10384, -10365, -10348, -10333, -10320, -10309? -10300 What is the next term in 16, 34, 66, 118, 196, 306? 454 What comes next: -748, 1836, 6144, 12176, 19932, 29412, 40616? 53544 What is next in -53976, -107953, -161930? -215907 What comes next: -4371, -8737, -13103, -17469, -21835? -26201 What is next in 2455, 4919, 7395, 9889, 12407, 14955, 17539, 20165? 22839 What comes next: -7947, -8077, -8293, -8595, -8983, -9457? -10017 What comes next: 18, 14, 8, 0, -10, -22, -36? -52 What comes next: -15844, -15828, -15812? -15796 What is the next term in 15353, 15397, 15439, 15479, 15517? 15553 What is next in -9786, -9789, -9794, -9801, -9810, -9821? -9834 What is the next term in 4762, 9368, 13984, 18616, 23270, 27952, 32668, 37424? 42226 What comes next: -54025, -54027, -54031, -54037, -54045? -54055 What is the next term in 1079, 3021, 6257, 10787, 16611? 23729 What comes next: 4076, 16390, 36928, 65696, 102700? 147946 What is the next term in -199767, -199764, -199761, -199758? -199755 What comes next: 2905, 2943, 2979, 3013, 3045, 3075? 3103 What is the next term in -732696, -732697, -732698? -732699 What is the next term in -875, -1240, -1591, -1922, -2227, -2500, -2735, -2926? -3067 What is next in 23509, 23488, 23467, 23446, 23425, 23404? 23383 What is next in 706, 2801, 6280, 11143, 17390, 25021? 34036 What is the next term in -146, -488, -1060, -1862, -2894, -4156, -5648? -7370 What comes next: 3, -33, -81, -129, -165? -177 What is next in 6578, 6591, 6604, 6617, 6630? 6643 What is next in 400, 1199, 2532, 4399, 6800? 9735 What comes next: -2147, -8529, -19149, -34007, -53103, -76437? -104009 What is the next term in 64, 170, 346, 592, 908, 1294? 1750 What is next in 4556, 13822, 29258, 50858, 78616, 112526, 152582? 198778 What is next in 330, 248, 60, -276, -802, -1560, -2592? -3940 What is next in -41, -477, -1659, -3959, -7749, -13401? -21287 What is the next term in -199, 0, 199? 398 What comes next: -5041, -5014, -4987, -4960, -4933, -4906? -4879 What is the next term in 9157, 9167, 9197, 9259, 9365, 9527, 9757? 10067 What comes next: 16009, 15978, 15933, 15868, 15777? 15654 What comes next: 4171, 16653, 37455, 66577, 104019, 149781? 203863 What is next in 22001, 22002, 22003, 22004, 22005? 22006 What is next in 11, 6, -19, -64, -129, -214? -319 What is the next term in -201, -1217, -3975, -9345, -18197, -31401? -49827 What is next in -3092, -3004, -2866, -2684, -2464, -2212, -1934? -1636 What is next in -16, -6, -16, -58, -144, -286, -496, -786? -1168 What comes next: 272, 339, 404, 467, 528, 587, 644? 699 What is next in -1347, -2797, -4235, -5655, -7051? -8417 What is next in 2703, 6116, 9529, 12942, 16355, 19768? 23181 What is the next term in 20, -95, -300, -643, -1172, -1935? -2980 What is the next term in -106, -379, -832, -1465, -2278, -3271? -4444 What is the next term in -155, -669, -1183, -1697, -2211? -2725 What is the next term in -321549, -643096, -964643, -1286190? -1607737 What is the next term in -1828, -3654, -5480? -7306 What is the next term in -335, -2613, -8823, -20939, -40935, -70785? -112463 What is the next term in -832, -1746, -2670, -3610, -4572, -5562? -6586 What comes next: -726, -1482, -2268, -3084, -3930, -4806, -5712? -6648 What is the next term in -556, -2260, -5114, -9130, -14320, -20696? -28270 What is the next term in 350917, 701830, 1052741, 1403650, 1754557, 2105462? 2456365 What is next in -70015, -69954, -69861, -69742, -69603, -69450? -69289 What is the next term in 61229, 122459, 183687, 244913, 306137? 367359 What comes next: -6099, -48958, -165295, -391848, -765355, -1322554? -2100183 What is the next term in 271, 558, 847, 1138, 1431? 1726 What comes next: 10221, 10261, 10301, 10341, 10381? 10421 What is the next term in 679, 1304, 1929, 2554, 3179, 3804? 4429
What are the prime factors of 14295264? 2, 3, 43, 3463 What are the prime factors of 2416332? 2, 3, 61, 3301 List the prime factors of 823010. 2, 5, 82301 List the prime factors of 743802. 2, 3, 53, 2339 What are the prime factors of 1347818? 2, 31, 21739 List the prime factors of 68374. 2, 17, 2011 What are the prime factors of 1631063? 7, 33287 List the prime factors of 900230. 2, 5, 90023 List the prime factors of 48490. 2, 5, 13, 373 What are the prime factors of 7664540? 2, 5, 13, 41, 719 What are the prime factors of 749138? 2, 13, 28813 What are the prime factors of 799911? 3, 7, 12697 List the prime factors of 278562. 2, 3, 17, 2731 List the prime factors of 5793871. 5793871 List the prime factors of 2665773. 3, 11, 26927 What are the prime factors of 2086538? 2, 719, 1451 List the prime factors of 8545868. 2, 431, 4957 List the prime factors of 1950529. 7, 17, 37, 443 List the prime factors of 14368663. 73, 196831 List the prime factors of 1361380. 2, 5, 43, 1583 List the prime factors of 712301. 712301 What are the prime factors of 780966? 2, 3, 43, 1009 What are the prime factors of 8668013? 29, 298897 What are the prime factors of 1877725? 5, 75109 What are the prime factors of 205264? 2, 12829 What are the prime factors of 297989? 297989 What are the prime factors of 169344? 2, 3, 7 List the prime factors of 2373517. 431, 5507 List the prime factors of 2166698. 2, 1083349 What are the prime factors of 14175417? 3, 4725139 What are the prime factors of 912094? 2, 456047 List the prime factors of 14350350. 2, 3, 5, 7, 79, 173 List the prime factors of 5343784. 2, 193, 3461 List the prime factors of 3397540. 2, 5, 257, 661 List the prime factors of 52565. 5, 10513 What are the prime factors of 793418? 2, 396709 What are the prime factors of 10374211? 653, 15887 What are the prime factors of 15796191? 3, 229, 22993 List the prime factors of 3701551. 7, 23, 83, 277 List the prime factors of 4473277. 4473277 List the prime factors of 1517803. 7, 216829 List the prime factors of 4510339. 181, 24919 What are the prime factors of 2341469? 13, 23, 41, 191 List the prime factors of 304566. 2, 3, 23, 2207 What are the prime factors of 279203? 279203 List the prime factors of 795563. 131, 6073 What are the prime factors of 3235903? 11, 47, 569 List the prime factors of 3170248. 2, 53, 7477 List the prime factors of 232231. 23, 439 List the prime factors of 1205134. 2, 7, 59, 1459 What are the prime factors of 1614526? 2, 431, 1873 List the prime factors of 170698. 2, 11, 7759 What are the prime factors of 2344142? 2, 331, 3541 What are the prime factors of 177400? 2, 5, 887 List the prime factors of 121886. 2, 60943 List the prime factors of 3788054. 2, 23, 82349 What are the prime factors of 457824? 2, 3, 19, 251 List the prime factors of 9464550. 2, 3, 5, 63097 List the prime factors of 445711. 7, 41, 1553 List the prime factors of 1550184. 2, 3, 64591 List the prime factors of 84178. 2, 42089 What are the prime factors of 137636? 2, 19, 1811 List the prime factors of 307964. 2, 76991 List the prime factors of 1136798. 2, 13, 23, 1901 What are the prime factors of 192172? 2, 107, 449 List the prime factors of 83141. 71, 1171 What are the prime factors of 1777104? 2, 3, 7, 41, 43 List the prime factors of 33146. 2, 16573 List the prime factors of 1304391. 3, 11, 29, 47 List the prime factors of 116726. 2, 58363 What are the prime factors of 5945507? 1051, 5657 List the prime factors of 300146. 2, 7, 11, 1949 What are the prime factors of 12586033? 139, 90547 What are the prime factors of 264283? 264283 List the prime factors of 1869450. 2, 3, 5, 11, 103 List the prime factors of 1297214. 2, 648607 List the prime factors of 4781785. 5, 956357 List the prime factors of 7696038. 2, 3, 7, 26177 What are the prime factors of 638608? 2, 167, 239 List the prime factors of 42587847. 3, 4731983 List the prime factors of 948145. 5, 11, 17239 List the prime factors of 27496720. 2, 5, 343709 List the prime factors of 60936. 2, 3, 2539 List the prime factors of 8755240. 2, 5, 13, 113, 149 What are the prime factors of 5957183? 373, 15971 List the prime factors of 1333055. 5, 17, 15683 List the prime factors of 1464987. 3, 488329 List the prime factors of 514770. 2, 3, 5, 17159 List the prime factors of 185929. 17, 10937 List the prime factors of 1630249. 17, 5641 What are the prime factors of 3065016? 2, 3, 127709 What are the prime factors of 7447180? 2, 5, 13, 28643 List the prime factors of 260256. 2, 3, 2711 What are the prime factors of 461010? 2, 3, 5, 11, 127 What are the prime factors of 1561808? 2, 97613 List the prime factors of 59748. 2, 3, 13, 383 List the prime factors of 468254. 2, 257, 911 What are the prime factors of 6110699? 7, 313, 2789 What are the prime factors of 56901? 3, 13, 1459 What are the prime factors of 8134902? 2, 3, 451939 List the prime factors of 245061. 3, 73, 373 List the prime factors of 453011. 13, 34847 List the prime factors of 593873. 7, 43, 1973 What are the prime factors of 1673582? 2, 17, 49223 List the prime factors of 16047715. 5, 3209543 List the prime factors of 3149014. 2, 11, 143137 What are the prime factors of 347098? 2, 173549 List the prime factors of 4088106. 2, 3, 11, 1877 List the prime factors of 12640379. 2179, 5801 What are the prime factors of 1412315? 5, 23, 12281 What are the prime factors of 294094? 2, 147047 List the prime factors of 472023. 3, 179, 293 List the prime factors of 873968. 2, 54623 List the prime factors of 1251588. 2, 3, 13, 71, 113 What are the prime factors of 793748? 2, 198437 List the prime factors of 765476. 2, 17, 11257 What are the prime factors of 475660? 2, 5, 17, 1399 What are the prime factors of 400023? 3, 13, 263 What are the prime factors of 2760635? 5, 552127 List the prime factors of 91401. 3, 30467 List the prime factors of 44019058. 2, 22009529 What are the prime factors of 2129408? 2, 4159 What are the prime factors of 1145513? 661, 1733 What are the prime factors of 385837? 385837 List the prime factors of 241784. 2, 30223 What are the prime factors of 784709? 211, 3719 What are the prime factors of 154438? 2, 37, 2087 What are the prime factors of 14104000? 2, 5, 41, 43 What are the prime factors of 23992606? 2, 11, 9013 What are the prime factors of 7384? 2, 13, 71 List the prime factors of 670987. 670987 What are the prime factors of 1039945? 5, 23, 9043 List the prime factors of 57771. 3, 7, 131 List the prime factors of 204836. 2, 41, 1249 List the prime factors of 129256. 2, 107, 151 What are the prime factors of 24132251? 11, 13, 37, 4561 List the prime factors of 6620035. 5, 1324007 What are the prime factors of 1414239? 3, 599, 787 What are the prime factors of 5324502? 2, 3, 17, 52201 What are the prime factors of 6938983? 709, 9787 What are the prime factors of 160353? 3, 5939 List the prime factors of 6191678. 2, 3095839 What are the prime factors of 5085? 3, 5, 113 List the prime factors of 223410. 2, 3, 5, 11, 677 List the prime factors of 12274404. 2, 3, 941, 1087 What are the prime factors of 204754? 2, 11, 41, 227 List the prime factors of 747808. 2, 23369 What are the prime factors of 155880? 2, 3, 5, 433 List the prime factors of 4004697. 3, 29, 191, 241 List the prime factors of 15808727. 11, 491, 2927 List the prime factors of 4697247. 3, 41, 38189 List the prime factors of 12958559. 683, 18973 What are the prime factors of 699601? 7, 17, 5879 List the prime factors of 2539475. 5, 157, 647 What are the prime factors of 1442795? 5, 288559 What are the prime factors of 3840441? 3, 11, 29, 4013 List the prime factors of 567059. 567059 List the prime factors of 1386803. 11, 139, 907 List the prime factors of 2730833. 7, 390119 What are the prime factors of 3606791? 23, 156817 What are the prime factors of 7614519? 3, 11, 230743 What are the prime factors of 645613? 37, 17449 List the prime factors of 1559874. 2, 3, 499, 521 What are the prime factors of 8915899? 557, 16007 List the prime factors of 329699. 487, 677 List the prime factors of 204116. 2, 11, 4639 What are the prime factors of 2269347? 3, 17, 44497 List the prime factors of 917381. 917381 What are the prime factors of 829143? 3, 7, 41, 107 What are the prime factors of 14636012? 2, 59, 62017 List the prime factors of 104614. 2, 19, 2753 List the prime factors of 190602. 2, 3, 10589 What are the prime factors of 265570? 2, 5, 26557 What are the prime factors of 14073879? 3, 4691293 What are the prime factors of 99763? 67, 1489 What are the prime factors of 805141? 271, 2971 What are the prime factors of 5185178? 2, 2592589
What is the units digit of 651964024? 4 What is the thousands digit of 18825304? 5 What is the hundreds digit of 1102738754? 7 What is the tens digit of 2125760558? 5 What is the tens digit of 898572446? 4 What is the millions digit of 283855065? 3 What is the millions digit of 8116259441? 6 What is the millions digit of 37210989? 7 What is the hundreds digit of 420375608? 6 What is the ten thousands digit of 948056051? 5 What is the ten millions digit of 45236983? 4 What is the hundreds digit of 693558190? 1 What is the hundred millions digit of 180035358? 1 What is the ten thousands digit of 992038565? 3 What is the ten thousands digit of 3953382073? 8 What is the ten millions digit of 1241926053? 4 What is the tens digit of 5442745? 4 What is the ten millions digit of 103042744? 0 What is the ten thousands digit of 89927387? 2 What is the hundred millions digit of 3544677388? 5 What is the hundred thousands digit of 5142528232? 5 What is the billions digit of 1326833002? 1 What is the ten thousands digit of 134932488? 3 What is the hundred millions digit of 219334556? 2 What is the hundred thousands digit of 27071239? 0 What is the units digit of 45254704? 4 What is the millions digit of 957768890? 7 What is the hundred thousands digit of 2352714868? 7 What is the hundred thousands digit of 4188567? 1 What is the hundreds digit of 50054709? 7 What is the hundred thousands digit of 401852422? 8 What is the ten millions digit of 1146116881? 4 What is the tens digit of 784901185? 8 What is the tens digit of 271171162? 6 What is the hundred thousands digit of 638595891? 5 What is the hundreds digit of 788874093? 0 What is the hundred thousands digit of 68268094? 2 What is the millions digit of 59822155? 9 What is the ten thousands digit of 53359073? 5 What is the thousands digit of 21502016? 2 What is the ten thousands digit of 487233066? 3 What is the thousands digit of 3119887489? 7 What is the thousands digit of 19351401? 1 What is the thousands digit of 2806645427? 5 What is the tens digit of 417773484? 8 What is the hundred thousands digit of 241201649? 2 What is the ten millions digit of 1981625746? 8 What is the hundred thousands digit of 233074697? 0 What is the millions digit of 267573979? 7 What is the hundred thousands digit of 233790844? 7 What is the millions digit of 16911431? 6 What is the billions digit of 6369624498? 6 What is the ten thousands digit of 22203263? 0 What is the millions digit of 45939643? 5 What is the millions digit of 1995055191? 5 What is the ten thousands digit of 39582432? 8 What is the millions digit of 937144811? 7 What is the ten millions digit of 613165198? 1 What is the hundred thousands digit of 817260733? 2 What is the tens digit of 1019832? 3 What is the units digit of 95932972? 2 What is the hundred thousands digit of 6150468272? 4 What is the ten thousands digit of 43896993? 9 What is the ten thousands digit of 568581876? 8 What is the thousands digit of 202986166? 6 What is the billions digit of 3847094447? 3 What is the tens digit of 136080715? 1 What is the millions digit of 6092256? 6 What is the thousands digit of 90749802? 9 What is the tens digit of 283705603? 0 What is the millions digit of 227844312? 7 What is the thousands digit of 2573839531? 9 What is the millions digit of 723256733? 3 What is the ten thousands digit of 1499441834? 4 What is the hundreds digit of 44278498? 4 What is the ten millions digit of 1449069826? 4 What is the ten millions digit of 290395295? 9 What is the thousands digit of 496788446? 8 What is the hundreds digit of 4576117153? 1 What is the units digit of 27548550? 0 What is the hundred thousands digit of 298659583? 6 What is the hundreds digit of 22772820? 8 What is the units digit of 1310578180? 0 What is the hundred thousands digit of 8730637? 7 What is the tens digit of 456428068? 6 What is the thousands digit of 580800938? 0 What is the ten thousands digit of 31803143? 0 What is the hundred thousands digit of 17814807? 8 What is the hundreds digit of 93277289? 2 What is the thousands digit of 6808949426? 9 What is the hundreds digit of 335364820? 8 What is the millions digit of 445480529? 5 What is the ten millions digit of 1002082775? 0 What is the hundreds digit of 132104637? 6 What is the thousands digit of 277198005? 8 What is the ten thousands digit of 43138381? 3 What is the millions digit of 376731862? 6 What is the tens digit of 364638891? 9 What is the ten millions digit of 919774320? 1 What is the tens digit of 845233924? 2 What is the millions digit of 76326108? 6 What is the ten millions digit of 673532477? 7 What is the hundred millions digit of 538160669? 5 What is the tens digit of 73883443? 4 What is the tens digit of 952864810? 1 What is the millions digit of 2172478124? 2 What is the ten millions digit of 343134931? 4 What is the tens digit of 2980085884? 8 What is the units digit of 261583056? 6 What is the ten millions digit of 30677276? 3 What is the thousands digit of 1484716300? 6 What is the ten millions digit of 1630287031? 3 What is the ten millions digit of 51393567? 5 What is the ten thousands digit of 2384590428? 9 What is the thousands digit of 25262717? 2 What is the hundred millions digit of 151144989? 1 What is the tens digit of 198160833? 3 What is the ten millions digit of 137034087? 3 What is the millions digit of 202492917? 2 What is the tens digit of 1543737761? 6 What is the ten thousands digit of 3468497370? 9 What is the ten thousands digit of 911859855? 5 What is the hundred thousands digit of 779270297? 2 What is the billions digit of 1039327925? 1 What is the hundred millions digit of 344404099? 3 What is the hundred thousands digit of 396229682? 2 What is the thousands digit of 67284503? 4 What is the ten thousands digit of 73572216? 7 What is the tens digit of 106726930? 3 What is the units digit of 6346488133? 3 What is the thousands digit of 1799113014? 3 What is the units digit of 251529619? 9 What is the millions digit of 65928615? 5 What is the ten thousands digit of 4764843516? 4 What is the tens digit of 67868210? 1 What is the tens digit of 1039805550? 5 What is the thousands digit of 2012906087? 6 What is the billions digit of 1178295432? 1 What is the millions digit of 24920341? 4 What is the millions digit of 73581132? 3 What is the billions digit of 6155939909? 6 What is the billions digit of 3935322704? 3 What is the ten thousands digit of 2770250477? 5 What is the thousands digit of 266209718? 9 What is the tens digit of 468754009? 0 What is the hundreds digit of 4656063582? 5 What is the hundred millions digit of 166904812? 1 What is the units digit of 961642974? 4 What is the tens digit of 147383327? 2 What is the hundred millions digit of 576303051? 5 What is the hundred thousands digit of 309144826? 1 What is the ten thousands digit of 5002032834? 3 What is the thousands digit of 636513642? 3 What is the ten thousands digit of 396661597? 6 What is the ten thousands digit of 73323651? 2 What is the hundred millions digit of 4731490093? 7 What is the tens digit of 37048746? 4 What is the millions digit of 3462394722? 2 What is the hundred thousands digit of 116984621? 9 What is the millions digit of 31241888? 1 What is the thousands digit of 5149285899? 5 What is the thousands digit of 75261478? 1 What is the ten thousands digit of 131149024? 4 What is the hundred thousands digit of 4247478739? 4 What is the hundred millions digit of 2392158449? 3 What is the tens digit of 72528561? 6 What is the hundred millions digit of 153877342? 1 What is the ten thousands digit of 140919558? 1 What is the tens digit of 14892744? 4 What is the thousands digit of 536942134? 2 What is the thousands digit of 335117798? 7 What is the ten thousands digit of 76690262? 9 What is the ten millions digit of 4029395020? 2 What is the tens digit of 84670197? 9 What is the millions digit of 1358194693? 8 What is the ten thousands digit of 42564844? 6 What is the hundred thousands digit of 67691111? 6 What is the hundred thousands digit of 1593323660? 3 What is the tens digit of 23124179? 7 What is the hundred millions digit of 251221436? 2 What is the ten millions digit of 178141233? 7 What is the units digit of 313380951? 1 What is the units digit of 242025448? 8 What is the ten millions digit of 288064441? 8 What is the tens digit of 1703659094? 9 What is the units digit of 695566400? 0 What is the hundreds digit of 104935209? 2 What is the tens digit of 393526014? 1 What is the units digit of 223923682? 2 What is the hundred millions digit of 7836771515? 8 What is the ten millions digit of 42056340? 4
What is 30221343 (base 5) in base 14? 6432a 3162338 (base 10) to base 14 5c4654 Convert -12477353 (base 8) to base 10. -2785003 -201113002032 (base 4) to base 10 -8745102 24021103 (base 5) to base 10 220153 Convert -3f52e2 (base 16) to base 15. -56e95b Convert -13134350 (base 6) to base 12. -18a3b6 What is 96a843 (base 12) in base 4? 21011220303 What is 3a45d (base 14) in base 15? 2c805 What is 92c2 (base 15) in base 12? 15b3b Convert 111101110011001 (base 2) to base 3. 1121101220 What is a57978 (base 11) in base 3? 10012002000101 What is -239233 (base 11) in base 15? -7713c What is 133010021321 (base 4) in base 16? 7c4279 What is -4a9267 (base 14) in base 9? -4732470 -2a0a0 (base 15) to base 14 -37378 Convert 1691663 (base 10) to base 3. 10011221112012 What is 253694 (base 11) in base 10? 400129 1013444 (base 5) to base 6 205313 What is aca5 (base 13) in base 10? 24133 What is -1730677 (base 8) in base 15? -9e620 What is 207526 (base 9) in base 3? 20021120220 Convert 41154835 (base 9) to base 11. 10176066 Convert 1432010002 (base 5) to base 14. 706341 -b2cc4a (base 13) to base 8 -17720107 What is -2643417 (base 10) in base 15? -37337c 22220221201 (base 3) to base 6 3433114 10051774 (base 8) to base 9 3878217 What is -13012011 (base 4) in base 12? -14999 -16908 (base 11) to base 7 -126111 What is -5011c7 (base 13) in base 5? -433441434 205002034 (base 7) to base 13 2683c5a -248684 (base 14) to base 3 -2100122011222 -112020211022 (base 3) to base 16 -447da What is 4a0c (base 15) in base 16? 3d92 Convert 18255 (base 15) to base 8. 230513 What is 884a77 (base 11) in base 8? 5306072 What is -20011202 (base 4) in base 3? -1200102202 990569 (base 10) to base 2 11110001110101101001 -a017 (base 14) to base 12 -13a85 Convert -2314455 (base 9) to base 3. -2100111111212 What is 1395879 (base 10) in base 7? 14602422 -312322030130 (base 4) to base 5 -12141103030 -271643 (base 9) to base 11 -1031a4 What is 1061218 (base 12) in base 10? 3112436 -166266 (base 8) to base 12 -2b09a What is -3777 (base 8) in base 10? -2047 Convert -1101101010011101101010 (base 2) to base 4. -31222131222 Convert -55564 (base 8) to base 14. -8764 What is -5576394 (base 10) in base 8? -25213312 Convert -1101101011101100100110 (base 2) to base 13. -9877cb What is -414255532 (base 6) in base 5? -3321131321 What is 22111201021102 (base 3) in base 2? 10001001111110111110010 1101021031 (base 4) to base 16 5124d 14524024 (base 7) to base 12 56917a 231003220 (base 4) to base 3 100101011021 14093 (base 12) to base 4 12301233 -121002122201 (base 3) to base 14 -83692 What is 3233121130 (base 4) in base 13? 284428 What is -48c19 (base 13) in base 11? -91640 Convert 17f54 (base 16) to base 6. 2034152 23d51 (base 16) to base 10 146769 Convert -222003 (base 9) to base 2. -100000011001001001 193328 (base 10) to base 3 100211012022 What is -4214b (base 15) in base 8? -631212 Convert 217b4 (base 15) to base 8. 317601 -5544881 (base 9) to base 15 -3dd9c1 Convert -1034433322 (base 5) to base 4. -20220330011 Convert -3b5423 (base 15) to base 9. -5327276 What is -2ab411 (base 15) in base 13? -573046 What is -1001111100010100000 (base 2) in base 10? -325792 13555136 (base 8) to base 2 1011101101101001011110 Convert -624521 (base 7) to base 9. -173135 What is 11010100011111000000 (base 2) in base 6? 30353200 114202302 (base 5) to base 7 4400003 10895 (base 12) to base 6 245505 Convert d59a7d (base 16) to base 10. 13998717 -43020014 (base 7) to base 10 -3651932 What is 4b4e19 (base 15) in base 9? 6713376 What is -42004120 (base 5) in base 15? -6c025 What is bb2105 (base 12) in base 4? 23110310111 What is -247283 (base 9) in base 8? -444262 Convert 25113212 (base 6) to base 13. 221627 -291237 (base 14) to base 8 -5336301 What is 4e4691 (base 16) in base 13? 10a7c38 Convert 110121110100022 (base 3) to base 11. 38677a8 What is 68625 (base 9) in base 6? 551335 1011525545 (base 6) to base 9 21582582 What is -202203013 (base 4) in base 7? -1126366 What is -2a57047 (base 13) in base 11? -76a8415 -238198 (base 11) to base 5 -44030101 What is 4518057 (base 9) in base 12? 9942ba -3400247 (base 11) to base 14 -b119da -a3aa8 (base 12) to base 13 -765c2 Convert 1022035000 (base 6) to base 15. e20ed3 Convert -122154 (base 9) to base 12. -36827 -211022002220 (base 3) to base 4 -1223022120 -109459 (base 10) to base 15 -22674 -2a27986 (base 11) to base 7 -62100102 270756 (base 8) to base 3 11210220111 -321591b (base 12) to base 3 -122211221202212 Convert -2589b (base 16) to base 13. -54ca4 Convert 3303124 (base 5) to base 8. 156530 3d39a6 (base 16) to base 8 17234646 -65d87b (base 16) to base 15 -8bc9a5 Convert 133022110 (base 4) to base 11. 87993 Convert 5450252 (base 6) to base 7. 2205665 -13566 (base 12) to base 11 -1908a Convert -833372 (base 9) to base 14. -cc346 What is -111000112211 (base 3) in base 14? -69579 152435524 (base 6) to base 16 30f6ac Convert 679b94 (base 14) to base 13. 964627 What is -572311 (base 8) in base 5? -22144422 What is 161666 (base 9) in base 5? 11142230 Convert -257a28 (base 11) to base 13. -112974 What is 123201 (base 5) in base 12? 2941 Convert -11403220 (base 5) to base 4. -122002331 Convert 11134241304 (base 5) to base 16. bd70e4 -1923131 (base 10) to base 6 -105115215 Convert 130000020 (base 6) to base 3. 11202000000110 Convert -4a065 (base 12) to base 15. -1eabb What is -370535 (base 16) in base 14? -69c101 -16516232 (base 8) to base 4 -32221302122 What is -2779087 (base 10) in base 4? -22212133033 212804 (base 15) to base 6 53453121 What is 5a566a (base 12) in base 8? 5445562 What is 283085 (base 14) in base 16? 153add Convert -418948 (base 13) to base 5. -343023030 52912 (base 12) to base 10 108446 What is -cde1 (base 15) in base 2? -1010101001110100 -493772 (base 10) to base 16 -788cc -110011111101011011011010 (base 2) to base 4 -303331123122 Convert -123163544 (base 7) to base 3. -112200010221212 10111011001110010 (base 2) to base 10 95858 What is -330464 (base 8) in base 12? -54218 What is -13434034 (base 5) in base 14? -38da6 Convert 2aa8 (base 13) to base 3. 22112110 Convert 150442e (base 15) to base 14. 203a0d2 -3077251 (base 9) to base 5 -410124221 145425262 (base 7) to base 5 4442033410 What is -1034222101 (base 5) in base 9? -4221070 What is 26aa0 (base 12) in base 5? 3202100 What is -256651 (base 7) in base 5? -3014012 Convert 3405a2 (base 11) to base 13. 15cb89 What is 22020220120 (base 3) in base 6? 3252153 -3231332324 (base 5) to base 2 -11010010101000111000110 30023 (base 8) to base 12 7157 Convert -287277 (base 15) to base 8. -7334441 1ed02 (base 16) to base 15 275e0 Convert 40647 (base 14) to base 15. 30d6d What is 14050212 (base 6) in base 2? 1110011100000100000 c16d7 (base 16) to base 13 219807 Convert -111101012210210 (base 3) to base 2. -11011000111110010100100 What is -153972 (base 10) in base 2? -100101100101110100 What is 13ba74 (base 15) in base 6? 32213314 What is 7b184 (base 12) in base 6? 3305044 100110100010111001101 (base 2) to base 16 1345cd 11eab (base 15) to base 10 57311 What is -110000001001000011011 (base 2) in base 4? -12001020123 What is -904a (base 11) in base 15? -3873 Convert 15128 (base 12) to base 2. 111001101110000 Convert -12433311 (base 6) to base 15. -812bd -7630341 (base 9) to base 8 -17474610 What is -1111110110111001111111 (base 2) in base 13? -b271c6 What is 388a1 (base 13) in base 9? 168610 11101001000011111000 (base 2) to base 12 3a0534 -2612ab (base 12) to base 10 -624227 Convert 210000221212022 (base 3) to base 7. 164010113 Convert 110111100011011100000 (base 2) to base 5. 431223014 Convert -12460 (base 8) to base 3. -21102220 Convert 103238 (base 9) to base 11. 42179 Convert -249661 (base 12) to base 6. -20444201 Convert -2674021 (base 9) to base 3. -2202111000201 4301104 (base 5) to base 14 1c36d Convert 235963 (base 10) to base 7. 2001640 What is 346e7c (base 16) in base 8? 15067174 What is 11011110000011001 (base 2) in base 15? 23a44 What is 2244ca (base 16) in base 7? 25042423 -3477756 (base 8) to base 7 -11035264 What is c687b4 (base 13) in base 11? 26934a4 -1031010123 (base 4) to base 9 -531020 48e1 (base 15) to base 12 8b87 What is 258b398 (base 12) in base 7? 116624633 Convert -1260820 (base 10) to base 4. -10303310110 What is 133a46 (base 13) in base 11? 298664 Convert -1121b3 (base 15) to base 4. -3013133313 274093b (base 12) to base 5 3444014304 What is -84a73a (base 12) in base 6? -112500514 What is 12141430433 (base 5) in base 6? 1232430210 What is 112a68 (base 11) in base 9? 303367 What is -12122443 (base 5) in base 3? -12210112210 What is 41941 (base 11) in base 8? 167145 2020221113 (base 4) to base 9 1042682
Let k(c) be the third derivative of -c**5/30 + 7*c**4/12 + 9*c**3/2 + 70*c**2. Differentiate k(b) wrt b. -4*b + 14 Let b = -1 + 4. What is the third derivative of 8*x - 11*x + 8*x**2 + b*x - 10*x**4 wrt x? -240*x Let t(s) be the third derivative of -11*s**8/48 + 23*s**5/12 - s**2 + s. What is the third derivative of t(m) wrt m? -4620*m**2 Suppose -4*c = -5*c + 4. Suppose -c = -j - 0. Differentiate 0 - 8*k - 3 + j wrt k. -8 Differentiate 33*q - 11*q - 55 - 114 wrt q. 22 Suppose 20 = 3*v + 14. What is the second derivative of -5*g**2 + 4*g + 2 + 11*g**v + 3*g**2 - 3 wrt g? 18 Let m = -32 - -32. Suppose m = -7*y + 22 + 13. Let h(x) = 15*x**3 + x. Let a(z) = 7*z**3. Let d(f) = y*a(f) - 2*h(f). Find the second derivative of d(q) wrt q. 30*q Let n(c) = 345*c**5 + 8*c**4 - 7*c - 31. Let l(g) = g**5 - 2*g**4 - 1. Let s(j) = 4*l(j) + n(j). What is the second derivative of s(h) wrt h? 6980*h**3 Suppose -2*i + 3*r + 65 = 0, 3*i - r = -5*r + 72. Find the second derivative of i*l + 3*l**2 + l**2 - 9*l**2 - 22*l**2 wrt l. -54 Let a(s) = -17*s**5 + 5*s**2 + 6. Suppose -15 - 33 = -8*n. Let w(o) = 1. Let y(u) = n*w(u) - a(u). Find the third derivative of y(d) wrt d. 1020*d**2 Let v(y) = 17*y**4 + 3*y + 6. Let d(z) = -35*z**4 + z**2 - 6*z - 11. Let h(t) = -2*d(t) - 5*v(t). Find the second derivative of h(q) wrt q. -180*q**2 - 4 Let y(d) be the third derivative of 7*d**6/120 + d**5/60 + d**4/12 + 23*d**3/3 - 83*d**2. Find the second derivative of y(w) wrt w. 42*w + 2 Let w(z) be the second derivative of 11*z**6/120 + 5*z**4/8 - z**2/2 + 7*z. Let u(q) be the first derivative of w(q). Find the second derivative of u(f) wrt f. 66*f Let j be (1 - -5)*(-4)/(-12). Find the first derivative of p**2 - 6 - 7*p**j - 8*p**2 wrt p. -28*p Let z(b) = -461*b**2 + 11*b - 139. Let m(u) = -153*u**2 + 4*u - 47. Let k(v) = -11*m(v) + 4*z(v). Differentiate k(q) wrt q. -322*q Let q(s) be the first derivative of -211*s**3/3 - 172*s + 287. Find the first derivative of q(u) wrt u. -422*u Let a be (6/(-6))/((-1)/3). What is the third derivative of -a*j**2 - 3*j**5 - 4*j**2 - 5*j**2 - 8*j**5 wrt j? -660*j**2 Let n(x) = 2*x**4 + x**3 - 2*x**2 + x. Let u(y) = -9*y**4 + 8*y**3 + 12*y**2 + 4*y - 9. Let b(c) = -6*n(c) - u(c). Find the second derivative of b(d) wrt d. -36*d**2 - 84*d Let t(k) be the second derivative of -8*k**6/15 - k**5/20 - 71*k**2/2 - 48*k. What is the first derivative of t(j) wrt j? -64*j**3 - 3*j**2 Let f(m) be the second derivative of -7*m**6/30 - 9*m**5/10 + 147*m**2 - 3*m + 84. Find the first derivative of f(l) wrt l. -28*l**3 - 54*l**2 Let m(z) be the first derivative of 0*z - 8 + 7/4*z**4 + 0*z**2 - 19/3*z**3. What is the third derivative of m(h) wrt h? 42 What is the second derivative of -5*i**3 - 323 - 47*i**4 + 342 + 3*i + 5*i**3 wrt i? -564*i**2 Let j(w) be the first derivative of -265*w**6/6 - 58*w**3/3 - 251. What is the third derivative of j(d) wrt d? -15900*d**2 Let z(y) = y**2. Let u be z(5). What is the third derivative of u*c**5 + 10*c - 10*c - 12*c**2 - 4*c**5 wrt c? 1260*c**2 Let b(y) be the third derivative of -y**7/42 - y**4/12 - 160*y**3/3 + 246*y**2. Differentiate b(x) wrt x. -20*x**3 - 2 Let p(k) = 3*k + 4. Let g be p(0). What is the third derivative of -16*s**2 + 35*s**2 - s**g + 3*s**4 wrt s? 48*s What is the second derivative of 4*s + 0 - 9*s - 8*s + 77*s**3 + 150*s**3 + 1 wrt s? 1362*s What is the second derivative of t**3 + 99*t**2 - 615*t + 117*t**2 + 2*t**3 - 6*t**3 wrt t? -18*t + 432 Find the second derivative of 9*g**5 + 8*g**5 + 2*g**4 - 2*g**4 + 62*g wrt g. 340*g**3 Let f = 1 - -3. What is the second derivative of 11*h**4 - 11*h**f - h**5 + 7*h wrt h? -20*h**3 What is the second derivative of 78 - 34*n + 6*n**3 - 79 - 56*n**3 + n**2 wrt n? -300*n + 2 Let q(u) be the second derivative of u**3/6 - 3*u**2/2 - 9*u. Let b be q(8). What is the second derivative of a + 3*a + b*a - 2*a**3 wrt a? -12*a Let y = 45 + -42. What is the second derivative of 22*d + 42*d**3 - 42*d**y + 20*d**5 wrt d? 400*d**3 Let l(d) = d**4 + 1. Let p(f) = 5*f**5 - 2*f**2 + 5 + 5*f**4 + 0*f**2 - 4*f**2 + 2*f**2. Let a(b) = -5*l(b) + p(b). Find the third derivative of a(i) wrt i. 300*i**2 Differentiate 58 + 166 - 483*z - 16 with respect to z. -483 Let n(u) be the third derivative of -8*u**6/5 - u**5/60 + u**4/24 + 93*u**3/2 - 180*u**2. Find the second derivative of n(b) wrt b. -1152*b - 2 Let t(p) be the second derivative of 181*p**5/5 - p**4/3 + 21*p**2 - 299*p - 1. What is the third derivative of t(d) wrt d? 4344 Let g(f) be the third derivative of -5*f**8/14 + 63*f**5/20 - 36*f**2 - 3. What is the third derivative of g(z) wrt z? -7200*z**2 Let z(l) be the first derivative of 17/3*l**3 - l**2 + 17 + 0*l. What is the second derivative of z(y) wrt y? 34 Suppose 3*y = y - 6. Let v be 4/3 + 1/y. What is the first derivative of 6*f**2 - f**2 + v + 0*f**2 wrt f? 10*f What is the first derivative of -32 + 279*r**4 - 12 - 54 - 32*r**4 + 25 wrt r? 988*r**3 What is the second derivative of 23*s - 7*s**3 - s**3 + 2*s**3 + 3*s**5 + 0*s**3 wrt s? 60*s**3 - 36*s Let d(n) be the first derivative of -83*n**6/6 + 3*n**4/4 - 7*n**2 - 82. What is the second derivative of d(b) wrt b? -1660*b**3 + 18*b Let r(u) be the first derivative of u**4/2 + 12*u**2 + 258*u + 125. What is the first derivative of r(m) wrt m? 6*m**2 + 24 Let a(f) be the second derivative of f**8/168 + f**6/72 - f**3/3 - 2*f. Let v(y) be the second derivative of a(y). What is the third derivative of v(b) wrt b? 240*b Let c be 0 + 1 - (0 - 1). Find the third derivative of 2*p**6 + p**2 - 2*p**4 + 3*p**c + 2*p**4 wrt p. 240*p**3 Suppose -15 = -2*h + 3*w, -4*h + 0 = 3*w - 3. What is the first derivative of 418*s + 7 - 418*s - h*s**3 wrt s? -9*s**2 Suppose 1 + 23 = 4*s. Differentiate -7*p**2 - s - 21 + 2 wrt p. -14*p Let b(w) be the first derivative of -125*w**4/4 - 75*w - 7. Differentiate b(c) wrt c. -375*c**2 Let f be (-2)/3 + 436/6. What is the third derivative of -19*j**2 - 20*j**6 + 72*j**4 - f*j**4 wrt j? -2400*j**3 Suppose -y - 1 = -4. Let f be 27/(-6)*(-2)/y. Find the second derivative of -2*i + 8*i**5 - f*i**5 - 3*i wrt i. 100*i**3 Let l be (2/(-3))/(0 + (-12)/90). Let b(k) = -12*k**3 + 19*k + 5. Let a(w) = -1. Let g(d) = l*a(d) + b(d). Find the second derivative of g(x) wrt x. -72*x Let f(s) = s + 7. Let y be f(-5). What is the third derivative of -5*u**2 - 5*u**y - 16*u**4 - 3*u**4 wrt u? -456*u What is the third derivative of j**5 - 38*j**2 + 6883*j + 33*j**4 - 6883*j wrt j? 60*j**2 + 792*j Let v(f) be the first derivative of 28*f**2 - 59*f + 44. What is the first derivative of v(n) wrt n? 56 Let g(n) be the second derivative of -87*n**5/20 + 23*n**2/2 + 22*n - 2. Find the first derivative of g(l) wrt l. -261*l**2 Differentiate -66 + 310*p**2 - 222 - 219 + 18 + 19 wrt p. 620*p Let x be (((-40)/(-6))/10)/((-2)/(-6)). Differentiate 2*j**2 + j**x + j**2 + 12*j**2 - 15 wrt j. 32*j Suppose 0 = 5*f - 10*f + 15. Suppose -f*y - 2*n + 4 = -n, -4*n = 4*y + 8. Find the second derivative of -69 + q - 4*q**y + 69 wrt q. -24*q Let o(m) = -185*m - 60. Let a(l) = 3*l**2 - 3*l - 1. Let f be a(4). Let j(r) = -31*r - 10. Let h(x) = f*j(x) - 6*o(x). Find the first derivative of h(v) wrt v. 25 Let b be 611/(-91) - 4/14. Let h = b - -13. What is the third derivative of -2*q**2 - 4*q**2 + 7*q**h + 2*q**2 wrt q? 840*q**3 Let k = -2 - 4. Let p be (-28)/k - (-3)/9. Find the second derivative of 6*d**5 - 3*d**2 + 12*d + 3*d**2 + d**p wrt d. 140*d**3 Suppose -5*g - 53 = -4*i, -6 = -i + g + 6. Differentiate -13*a**4 - i + 31*a**4 - 20*a**4 with respect to a. -8*a**3 Let i(k) be the first derivative of 0*k**4 + 0*k + 5 + 0*k**2 + 0*k**6 + 0*k**5 - 4/7*k**7 + 8*k**3. Find the third derivative of i(x) wrt x. -480*x**3 Let s(t) be the first derivative of 0*t**3 + 1/30*t**6 - 1 + 0*t**5 + 2*t**2 + 0*t**4 + 4*t. Let p(z) be the first derivative of s(z). Differentiate p(o) wrt o. 4*o**3 What is the second derivative of -2 + 27*a**2 + 11 - 24*a**2 - a**4 + 42*a**2 + 3*a wrt a? -12*a**2 + 90 Let n(o) be the third derivative of o**6/40 - 2*o**5/5 + 3*o**4/8 + o**3/6 - 119*o**2. What is the second derivative of n(l) wrt l? 18*l - 48 Let j(p) be the third derivative of -9*p**4/4 + 35*p**3/3 + p**2 + 75*p. What is the first derivative of j(v) wrt v? -54 Let g(z) be the second derivative of -29*z**5/20 - 29*z**4/12 - 17*z - 2. What is the third derivative of g(q) wrt q? -174 Find the third derivative of 1618*k**3 - 283*k - 3292*k**3 - k**2 + 1201*k**3 - k**2 wrt k. -2838
Suppose -55*h - 273 = -68*h. Solve -19*u - h = -2 for u. -1 Suppose -b + 0*b - 15 = -5*m, 0 = -4*m - 4*b + 12. Suppose 0 = -m*n, k - n - 2 = -0*n. Solve k*j - 3 = 1 for j. 2 Let l(v) = -23*v - 8 + 11*v + 9*v. Let j be l(-4). Solve -5*a - 14 = -j for a. -2 Suppose -559*a = -556*a - 72. Solve -8*x - a = 16 for x. -5 Suppose -3*h - h - 12 = -5*t, 2*t - 2*h - 4 = 0. Suppose t = -l + 2*l. Suppose 22 + 10 = 3*r + b, -l*r = -3*b - 21. Solve 3*m - 3 = r for m. 4 Let g(o) = -3*o + 32 + 3*o - 2*o - 2. Let s be g(14). Solve -s*f + 14 = 4 for f. 5 Let l be (-390)/(-25) - (-9)/(-15). Solve -l = -6*z + 3 for z. 3 Let t(o) = 0*o**3 - 6*o - 3*o**3 + 7 - 4*o**2 + 4*o**3. Let u be t(5). Solve -u*s + 8 + 0 = 0 for s. 4 Suppose c + 6 = -3*g, -12 = -7*c + 5*c + 2*g. Solve 0 = -3*f + c - 6 for f. -1 Let h = -3 + 7. Suppose -5*s - 5*z = -20, -h*s + 23 = -0*z - 3*z. Suppose s*t - 3*x + 15 = 0, 0*x = -2*t + 3*x - 15. Solve -10 = 2*o - t for o. -5 Let c be 0*(-5 - 22/(-4)). Solve 11*r - 7*r + 4 = c for r. -1 Suppose 3*j + 12 - 54 = 0. Let k(v) = -4 - v**2 + 11 + 4*v - 6. Let l be k(3). Solve l*b - j = 2 for b. 4 Let u = 28 + -38. Let s = -9 - u. Solve -3 = -p + s for p. 4 Let i = -16 + 16. Suppose 3*n = 5*n - 10. Solve i = 3*f + 4 + n for f. -3 Suppose 0 = -3*p + 3*t + 90, -63 = 3*p + t - 161. Solve 0 = -18*q + p*q + 14 for q. -1 Let y(x) = -10*x**3 - 3*x + 12. Let r(j) = -3*j**3 - j + 4. Let b(s) = -7*r(s) + 2*y(s). Let c be b(2). Solve c*m - m - 10 = 0 for m. 2 Let k(r) = -r - 10. Let p be k(-10). Suppose -27*i + 24*i + 6 = p. Solve -i*w - 9 = -5*w for w. 3 Let q = 52 + -52. Solve 12 = -4*u - q*u for u. -3 Suppose 4*p - 2*p - 20 = 0. Solve p = -15*q + 10*q for q. -2 Suppose 3*g - 295 = -56*g. Solve g*h + 2 = -8 for h. -2 Let x be (-45 + 10)*4/10. Let f be 12*(-2 + 45/12). Let v be x/f + (-8)/(-3). Solve -v*r - 1 = -r for r. -1 Let f be 1*(0 - 1 - -1). Let l be 91/26*90/105. Solve f = 3*t - l for t. 1 Let j(p) = 5*p + 46. Let f be j(-4). Solve 6*u = f - 2 for u. 4 Suppose 0 = -3*v - 5*q + 34, -4*v - 3*q = -3 - 24. Suppose -22 = -3*f - 2*p + 3, -v*f + p = -10. Solve 2*x + f = -3*x for x. -1 Let d = -11 - -14. Let w = 23 + -27. Let y be 0 - 3*w/3. Solve -c - y = -d*c for c. 2 Suppose 140*k + 16 = 144*k. Suppose f = 2*f - 3. Solve 5*i - k*i = f for i. 3 Let j = -27 + 29. Let d = -2 - -5. Suppose 2*l + 3*l = -3*y, -d*y = 2*l. Solve y = -j*h - 2*h - 12 for h. -3 Let g(y) = -2*y**2 - 5*y - 9. Let w be g(-4). Let a be (-156)/(-42) - 6/w. Solve 6*c - 5*c = a for c. 4 Let n(b) = b + 40. Let j be n(-37). Solve -j*c + 0 = 3 for c. -1 Suppose 0 = 15*j - 0. Solve j = 25*i - 29*i - 8 for i. -2 Let h be 2 + 12*81/36. Solve -30*l - 5 = -h*l for l. -5 Let b(y) = y**3 + 5*y**2 + y - 2. Let u be b(-3). Let p = u - -4. Let x = -14 + p. Solve x*f + 25 = 8*f for f. 5 Let l = -40 - -42. Let r be 8/(-10)*(-5)/l. Solve -1 - 3 = r*v for v. -2 Suppose -66 = -14*s + 46. Solve -s*m = 4*m - 60 for m. 5 Let f = -631 - -637. Solve -7*l + f = -4*l for l. 2 Let c be (-2 - 20) + -5 + 5. Let w = -25 - c. Let h be w + 4*3/4. Solve 6 = 3*o - h*o for o. 2 Suppose 0 = 15*m - 27 - 3. Solve -2*d - m - 2 = 0 for d. -2 Suppose y + 4*g + 10 = 2*y, -g = 3*y - 4. Suppose -o + y = -4. Solve -o*r = -2*r + 8 for r. -2 Let j = 48 - 22. Let q = 30 - j. Solve -2 = -q*l + 2 for l. 1 Let r = 28 + -21. Suppose -3 = 4*k - r. Solve -4 = -a + k for a. 5 Let v(z) = -z**2 + 8*z + 23. Let b be v(10). Suppose -2*s - g + 0 = 3, 5*s + b*g + 9 = 0. Solve s = -5*i + 32 - 7 for i. 5 Suppose -3*s = -6*s - 9. Let t be (1 + -3)/2 - s. Suppose b + 1 - t = i, -2*i = -3*b + 6. Solve -b*f + 2 - 10 = 0 for f. -2 Let q(s) = 74*s - 514. Let d be q(7). Solve -5 = -d*j + 15 for j. 5 Let d(k) = -k**2 - k. Let n be d(-1). Suppose m + 5 - 15 = n. Let u(b) = -b + 9. Let p be u(4). Solve m + p = -5*v for v. -3 Let a be 5/30 - (-41)/6. Suppose 2*q - a*q = 0. Solve -5*d + q*d = -10 for d. 2 Suppose -18 = 2*w + 2*r, 5*r - 14 - 6 = 0. Let y = 22 + w. Suppose -2*b + y - 1 = 0. Solve f + 5 = -b*f for f. -1 Suppose 4*w - 21 = -3*s + 2*s, 4*w - 31 = -3*s. Suppose 4*g - 3*g = 4. Suppose -12 = 3*k + g*z, -k - 9 = -0*k + 3*z. Solve -3*b + s + 10 = k for b. 5 Let o be 30/4 + (-1)/2. Suppose o*w = 3*w - 12. Let b be ((-1)/w)/(1/9). Solve -4*k = -b*k for k. 0 Let g be ((-2)/(-2) - 1) + 2. Suppose -3 = -3*j - 0*c + 2*c, 0 = 3*j - 3*c. Suppose g*x + j*x = 0. Solve 10 = -x*k + 5*k for k. 2 Let o(x) = x**3 + 30*x**2 + 54*x - 52. Let h be o(-28). Solve -13 = h*a - 1 for a. -3 Let z = -436 - -489. Solve 4*x - 69 = -z for x. 4 Let s be (-143)/22*(1 - 3). Suppose s*l = 17*l - 4. Solve -4*i + l = 5 for i. -1 Suppose -11*u = -103 + 15. Solve 0*r - u*r = 8 for r. -1 Suppose 3*q - 4*q = 0. Suppose 0*s - t + 8 = -s, q = -s - 3*t - 20. Let i = 14 + s. Solve -2*j = -1 + i for j. -1 Suppose -10*l - 4 = -12*l. Let u be (l/(-6))/(5/(-390)). Solve 4*y - 10 + u = 0 for y. -4 Let x = 14 - 3. Let r = -16 + x. Let p = -4 - r. Solve -p = h - 2*h for h. 1 Let j = -218 - -224. Solve 0 = 4*s - j - 10 for s. 4 Let s = -103 - -124. Solve s - 17 = f for f. 4 Let w(q) = -22 + 7*q + 5 + 13. Let m be w(1). Solve 12 = z + m*z for z. 3 Let j be -4*(-5)/(-10) + 6. Suppose 8 = 8*n - j*n. Solve -3*z = -2*z + n for z. -2 Let i = 11 + -8. Solve i*a - 5*a = -8 for a. 4 Suppose -5 = -2*j + j + 3*a, 4*j + 3*a - 5 = 0. Suppose 8*g = 6*g + 10. Suppose q + 33 = 3*t - 0*q, 5 = j*t + g*q. Solve u = -u + t for u. 5 Let b(f) = 4*f**2 + 43*f + 35. Let l be b(-10). Solve -l*g = -28 + 8 for g. 4 Let i be (-1 + 1)*((-16)/4 + 5). Solve i*z - 5 = 5*z for z. -1 Let h(i) = -2*i + 23. Let u(g) = -5*g + 47. Let z(d) = 9*h(d) - 4*u(d). Let q be z(-9). Suppose -5*v + q = -24. Solve -v + 0 = w for w. -5 Let d(b) = -b**3 - 5*b**2 + 4*b - 7. Let z be d(-6). Let f = 92 - 65. Let u be (-2 + 0 + 1)*106/(-53). Solve -z*s + f = u for s. 5 Let f = 9 - 3. Let s be (-3 - -13 - 4) + -1. Solve -s*b + 4 + f = 0 for b. 2 Let d = -724 - -765. Solve d + 4 = -9*r for r. -5 Let r = 43 + 10. Suppose 21 = -4*b + r. Solve b*p - 4*p = 20 for p. 5 Suppose 16 - 1 = -5*h. Let k be -1*(-2 - h) + 1. Suppose -3*n + 12 = -k*n. Solve n*x - 6 = 2 for x. 2 Let s = 385 + -350. Solve 11*j = s - 13 for j. 2 Let w = -13 - -5. Let t be 5 + 2 + 2 + w. Solve 2*z - t = 7 for z. 4 Let j = 79 - 73. Solve j = -2*o + 10 for o. 2 Let j be (43 + -5)*(-2)/(-4). Let z = j - 19. Suppose 8 = 2*f - 4*s - 4, -3*f - 5*s = 4. Solve z = -3*n + f*n + 1 for n. 1 Suppose -2*n + 76 = -0*n - 4*u, n + 4*u = 62. Solve -n = -2*s - 40 for s. 3 Let r be (-1 - (1 + 2)) + (21 - 1). Let s = r + -13. Solve -s = v + 2 for v. -5 Suppose 0 = 64*x - 16*x - 144. Solve 2*o = x*o - 2 for o. 2 Let f(q) = -22*q**2 - 93*q - 17. Let j(k) = 15*k**2 + 62*k + 11. Let h(u) = -5*f(u) - 8*j(u). Let x be h(-3). Solve x = -w - w + 2 for w. 1 Suppose -9*w + 4*w + 32 = 4*n, 2 = -w + 2*n. Let r = w - -12. Solve 0 = 4*f + r for f. -4 Suppose 0 = c + 46 - 4. Let j = -38 - c. Solve j*s + 11 = -5 for s. -4 Suppose 22*d - 81 = 161. Solve 6*l = 1 + d for l. 2 Let s = 59 - 45. Let w = -14 + s. Solve -5*h + 0 - 10 = w for h. -2 Let u be (-6)/(-2)*((-16)/2)/(-8). Solve -3*d - u = -6 for d. 1 Let o = 11 + -9. Suppose 2*u - 18 - 52 = 0. Let g be 49/u + 2/(-5). Solve o*v - g = 3 for v. 2 Suppose -14*a = -11*a. Let t be ((-3)/2)/(3/(-8)). Suppose t*o - 40 = -o. Solve 4*q + o = -a for q. -2 Let f(j) = -3*j - 13. Suppose 0 = -31*p + 27*p - 24. Let z be f(p). Suppose -h = 2*k, -z = k - 3. Solve h*l - 6 = l for l. 2 Suppose 0*p + 2*p = -12. Let y be 7/3 - ((-1)/(-3) - 1). Let h be 8/y - 2/p. Solve 3 - 6 = -h*a for a. 1 Suppose -4*u - 25 = 3*s - 24, u = 3*s - 19. Solve -12 = s*y - 2*y for y. -4 Suppose -g + 3 = -5. Let r = -27 + g. Let c = r - -20. Solve p + c = -0*p for p. -1 Let s = 1009 + -907. Solve -s = 2*n - 112 for n. 5 Let h(z) = 29*z - 4. Let t(y) = 10*y - 1. Let f(k) = 6*h(k) - 17*t(k). Let b be f(3). Solve -6*v - 5 = -b*v for v. -5 Let a be 16/(-9) + 4/(-18). Let v = a + 18. Solve 0*k + 4*k = v for k. 4 Let y = 330 - 326. Solve 7*f - y*f - 6 = 0 for f. 2 Let m(a) be the third derivative of a**6/120 - a**5/30 + a**4/12 + 11*a**3/6 + 4*a**2 + 1. Let i be m(0). Solve -i - 1 = 3*t for t. -4 Let o be (6/(-39))/(-1 + 36/39). Solve -8*z = o*z for z. 0 Let i = 17 + -10. Suppose -u + i = 2. Suppose -v - 8 = -2*f, 3*f + 8 = -u*v + 5*f. Solve 2*n + 0 + 2 = v for n. -1 Suppose b + 14 = 18. Solve -3*c + b*c - 2 = 0 for c. 2 Suppose -30 - 4 = -2*r. Let o(b) = b**3 + 5*b**2 - 10*b - 38. Let p be o(-4). Suppose -p*n + 4 = -r*n. Solve 0 = n*g - 2*g - 8 for g. 4
What is three sixteenths of a millennium in months? 2250 Convert 852.5785 micrograms to nanograms. 852578.5 What is 691.4297 milligrams in nanograms? 691429700 What is 649.2567 centuries in years? 64925.67 What is 6/5 of a gram in milligrams? 1200 What is 0.1034329 millilitres in litres? 0.0001034329 Convert 22.36304 centuries to years. 2236.304 How many kilograms are there in twenty-five quarters of a tonne? 6250 What is 82813.42l in millilitres? 82813420 How many millilitres are there in 487599.8l? 487599800 What is eleven quarters of a tonne in kilograms? 2750 How many hours are there in twenty-five quarters of a day? 150 What is one fifteenth of a decade in months? 8 What is 74742.52us in nanoseconds? 74742520 What is 3491.831 minutes in nanoseconds? 209509860000000 What is 497.2082 millilitres in litres? 0.4972082 What is one quarter of a year in months? 3 How many weeks are there in 467197.15 days? 66742.45 How many kilograms are there in 7/4 of a tonne? 1750 How many micrograms are there in eleven quarters of a milligram? 2750 What is 293993.7m in nanometers? 293993700000000 What is 850735.1 nanometers in meters? 0.0008507351 How many grams are there in one fifth of a kilogram? 200 What is 3/5 of a century in months? 720 Convert 3523.334 days to milliseconds. 304416057600 Convert 490.293cm to kilometers. 0.00490293 What is 9/10 of a tonne in kilograms? 900 How many kilograms are there in 43442.76 tonnes? 43442760 What is 55/2 of a decade in years? 275 What is three eighths of a meter in millimeters? 375 Convert 159.181s to milliseconds. 159181 Convert 860.446um to nanometers. 860446 How many millimeters are there in 99.90325m? 99903.25 What is 185887.2ml in litres? 185.8872 What is six fifths of a kilogram in grams? 1200 Convert 119392.2ns to hours. 0.0000000331645 What is fourty-five eighths of a tonne in kilograms? 5625 How many centuries are there in 222.03027 months? 0.185025225 What is 8.82769ng in kilograms? 0.00000000000882769 How many nanograms are there in 13.82053 micrograms? 13820.53 Convert 597.3146l to millilitres. 597314.6 How many seconds are there in twenty-nine fifths of a hour? 20880 Convert 63522.3 decades to years. 635223 How many litres are there in 0.5788538 millilitres? 0.0005788538 Convert 70014.67 centuries to years. 7001467 How many years are there in 63.48519 centuries? 6348.519 Convert 1202.231835 nanoseconds to weeks. 0.0000000000019878171875 How many centimeters are there in eleven tenths of a meter? 110 Convert 241522.506 microseconds to days. 0.000002795399375 How many grams are there in 4390.027 tonnes? 4390027000 Convert 196.6453kg to grams. 196645.3 How many millilitres are there in seventeen halves of a litre? 8500 Convert 737741.2l to millilitres. 737741200 What is fourty-three quarters of a week in hours? 1806 How many milliseconds are there in 4.189628 minutes? 251377.68 What is three tenths of a litre in millilitres? 300 Convert 7.238807l to millilitres. 7238.807 How many months are there in seventy-nine halves of a century? 47400 What is 8.459767cm in kilometers? 0.00008459767 How many millilitres are there in 13/4 of a litre? 3250 Convert 40734703.8 minutes to weeks. 4041.14125 What is 76/5 of a litre in millilitres? 15200 How many nanoseconds are there in fifteen quarters of a microsecond? 3750 Convert 96228.46 nanograms to kilograms. 0.00000009622846 Convert 66885.07 nanometers to millimeters. 0.06688507 Convert 5.650419mg to tonnes. 0.000000005650419 How many nanometers are there in 0.6476125 micrometers? 647.6125 How many millimeters are there in 275.4911um? 0.2754911 Convert 8.4578256s to hours. 0.002349396 How many nanometers are there in one tenth of a micrometer? 100 What is thirteen fifths of a microgram in nanograms? 2600 How many micrometers are there in 5/4 of a centimeter? 12500 Convert 102.1706 centuries to years. 10217.06 How many nanometers are there in 15202.2 kilometers? 15202200000000000 How many grams are there in 76/5 of a kilogram? 15200 Convert 710.1763 kilograms to nanograms. 710176300000000 Convert 13.143564 hours to weeks. 0.0782355 How many millilitres are there in 11/2 of a litre? 5500 What is 23260.31 kilometers in centimeters? 2326031000 What is 31/2 of a millisecond in microseconds? 15500 Convert 3446.231 meters to centimeters. 344623.1 How many millilitres are there in 1/20 of a litre? 50 What is 88356.9 litres in millilitres? 88356900 What is 61488.46g in tonnes? 0.06148846 How many months are there in five quarters of a century? 1500 Convert 0.2086909kg to grams. 208.6909 Convert 37.1315 kilograms to nanograms. 37131500000000 What is 45/2 of a minute in seconds? 1350 Convert 454.0099 tonnes to grams. 454009900 How many minutes are there in 16.906251us? 0.00000028177085 What is 306.0396 centuries in months? 367247.52 How many hours are there in twenty-nine halves of a week? 2436 What is 10.915974 months in years? 0.9096645 What is 29/2 of a litre in millilitres? 14500 What is fourty-three halves of a kilogram in grams? 21500 How many months are there in 1/16 of a millennium? 750 Convert 4.43926 millennia to centuries. 44.3926 What is 0.3644037t in nanograms? 364403700000000 How many months are there in fourty-five eighths of a millennium? 67500 Convert 0.3096129 weeks to microseconds. 187253881920 What is 45149.67 litres in millilitres? 45149670 How many months are there in 1/5 of a decade? 24 What is 698.2889 grams in milligrams? 698288.9 How many millennia are there in 4598.167 years? 4.598167 Convert 1073.800287 microseconds to weeks. 0.0000000017754634375 What is 0.4652395ng in milligrams? 0.0000004652395 How many centuries are there in 21/5 of a millennium? 42 What is 21/5 of a kilogram in grams? 4200 How many centuries are there in twenty-six fifths of a millennium? 52 What is 95766.39 litres in millilitres? 95766390 How many millilitres are there in five quarters of a litre? 1250 How many millilitres are there in 4557.814 litres? 4557814 What is thirty-one halves of a litre in millilitres? 15500 How many seconds are there in 13/4 of a hour? 11700 What is one eighteenth of a day in minutes? 80 How many litres are there in 83132.7 millilitres? 83.1327 Convert 79.46965 milliseconds to microseconds. 79469.65 How many minutes are there in 13/4 of a day? 4680 What is 7/4 of a milligram in micrograms? 1750 How many months are there in 0.8324728 decades? 99.896736 How many milliseconds are there in 96634.45 minutes? 5798067000 How many litres are there in 674.6212ml? 0.6746212 How many kilograms are there in 5/4 of a tonne? 1250 What is 3/8 of a kilogram in grams? 375 How many millilitres are there in one quarter of a litre? 250 What is six fifths of a minute in seconds? 72 What is 45/2 of a meter in millimeters? 22500 Convert 0.5946616um to millimeters. 0.0005946616 Convert 26076.2247ns to days. 0.00000000030180815625 How many seconds are there in 15/16 of a day? 81000 What is 13/5 of a week in minutes? 26208 How many nanograms are there in 3/25 of a microgram? 120 What is 1/64 of a tonne in grams? 15625 How many decades are there in 6309.687 millennia? 630968.7 What is 8605.946 millilitres in litres? 8.605946 Convert 0.485869 centuries to decades. 4.85869 How many meters are there in 73/5 of a kilometer? 14600 Convert 790.2017 litres to millilitres. 790201.7 What is 55/4 of a milligram in micrograms? 13750 How many minutes are there in fourty-one sixths of a day? 9840 What is four thirds of a minute in seconds? 80 Convert 648293.9nm to meters. 0.0006482939 How many meters are there in 42.49228 millimeters? 0.04249228 How many hours are there in 21/8 of a day? 63 What is seven sixths of a week in minutes? 11760 What is 7/4 of a litre in millilitres? 1750 How many micrometers are there in 2019.408 millimeters? 2019408 How many months are there in 0.6775805 centuries? 813.0966 How many seconds are there in nine tenths of a hour? 3240 What is eight sevenths of a week in hours? 192 What is seven sixths of a hour in minutes? 70 How many nanometers are there in eleven quarters of a micrometer? 2750 How many kilograms are there in 10.79123 nanograms? 0.00000000001079123 What is twenty-one fifths of a litre in millilitres? 4200 How many microseconds are there in 192567.3 days? 16637814720000000 Convert 14017.584ns to minutes. 0.0000002336264 How many nanometers are there in 927464.7 centimeters? 9274647000000 Convert 63970.28 centuries to decades. 639702.8 What is 1/4 of a centimeter in micrometers? 2500 What is 55.74855l in millilitres? 55748.55 What is 31/5 of a centimeter in millimeters? 62
Let q be (-2*1)/((-10)/35). Let y be -1 - q*(-2 - -1). Calculate the remainder when 3/y*2*15 is divided by 8. 7 Suppose -2*a + 5*o = -24, -5*a - o + 51 = 18. Let h = -49 - -52. Calculate the remainder when a is divided by h. 1 Let a(f) = -f**2 + 3*f + 2. Let b be a(4). Let g = 3 + b. Suppose 3*z - 7*z + 12 = 0. What is the remainder when z is divided by g? 0 Let s = 1 + -2. Let f = 6 - 4. What is the remainder when 0 - (0 + s + -1) is divided by f? 0 Let f = -17 + 27. Let o be (2 - 1) + (-4)/2. What is the remainder when (-2)/(-2)*(o + 19) is divided by f? 8 Let l be 3 - (4 + (3 - 6)). Suppose -l*k + 3*w + 27 = 0, 5*k = -w - w + 77. Calculate the remainder when 42 is divided by k. 12 Let v(u) = 3*u + 9. Let a be v(-5). Let i(g) = -g + 6. Let o be i(-8). What is the remainder when 20 is divided by (-2 - 1)/(a/o)? 6 Let o be ((-2)/(-6))/((-5)/(-30)). Suppose 0 = -o*m - 2*v + v + 23, -2*m - 5*v = -27. What is the remainder when 31 is divided by m? 9 Suppose 5*u + s - 170 = 0, -8*s = -4*s. Calculate the remainder when u is divided by 10. 4 What is the remainder when 7/(1/(-12)*-4) is divided by 8? 5 Suppose -n - n = -48. What is the remainder when 45 is divided by n? 21 Let p = 53 + -17. What is the remainder when p is divided by 13? 10 Suppose -3*h + 54 = 9. Let c = 7 + -1. Suppose -x = -c*x + 215. Calculate the remainder when x is divided by h. 13 Suppose u + 69 = 4*u. Let f(y) = -y**3 + 8*y**2 + 9*y + 12. What is the remainder when u is divided by f(9)? 11 Calculate the remainder when (-2)/(3 + (-298)/98) is divided by 18. 13 Suppose -6*c + 3*c + 54 = 0. What is the remainder when c is divided by 12? 6 Suppose -22 = -4*b + 6. Suppose -2*p + b = -15. Calculate the remainder when p is divided by 4. 3 Suppose 0 = -3*p + 5*k + 58, p + 16 = 2*p - 5*k. What is the remainder when 82 is divided by p? 19 Suppose 2*z - 11 + 25 = 0. What is the remainder when 2/z - 396/(-14) is divided by 10? 8 Suppose z = 3*a - 3*z - 86, -125 = -5*a + 3*z. Calculate the remainder when a is divided by 6. 4 Let l(y) = y**3 + 11*y**2 + 21*y - 17. Let b = -5 - -31. What is the remainder when b is divided by l(-8)? 5 Suppose 8 = d - 0*z + 2*z, -4*z = 3*d - 26. Let u be 12/(-9)*15/10. Calculate the remainder when d is divided by (-1)/u - 14/(-4). 2 Let q = -53 + 132. Calculate the remainder when q is divided by 20. 19 Let a(t) = 9*t**2 - 2*t - 5. What is the remainder when a(-3) is divided by 21? 19 Let v(s) = -3*s**3 - 3*s**2 + 4*s**3 - 6 + 10*s**2 + 0*s - 2*s. What is the remainder when v(-4) is divided by 17? 16 Let i be 1/(((-3)/31)/(-3)). Suppose -k = 35 + i. Let r = k + 103. What is the remainder when r is divided by 19? 18 Let x = -23 + -40. Let l = -25 - x. Let y = l + -25. Calculate the remainder when 37 is divided by y. 11 Let d = 47 + -66. What is the remainder when (d/(-2))/((-6)/(-24)) is divided by 20? 18 Suppose 0 = -5*y + 6*y - 35. Calculate the remainder when y is divided by 18. 17 Calculate the remainder when 14*((-1 - -3) + 2) is divided by 15. 11 Let y = 29 + -25. Suppose y*a - 20 = 0, 0 = l - a - 7 - 1. Calculate the remainder when l is divided by 7. 6 Suppose u + 2*y = 9 + 26, 2*y - 80 = -2*u. Calculate the remainder when u is divided by 12. 9 Suppose -5*q = 1 - 211. Let j(s) = -s**3 - 6*s**2 - 3*s - 9. Calculate the remainder when q is divided by j(-6). 6 Let k be (-28)/6*(-9)/(-6). Let f(v) = v**3 + 8*v**2 + 5*v - 8. What is the remainder when f(k) is divided by 4? 2 Suppose 3*g - 2*g - 143 = 0. Calculate the remainder when g is divided by 29. 27 Calculate the remainder when 23 is divided by (8/3)/((-1)/(-3)). 7 Suppose 13*z = 12*z + 229. Calculate the remainder when z is divided by 29. 26 What is the remainder when 63 is divided by 6/(-15)*(-500)/8? 13 Suppose r + 3 = h, r + 11 = 3*h - 4*r. Let q(l) = -l + 2*l - 2 - h. What is the remainder when 5 is divided by q(7)? 2 Let t be ((-2)/(-4))/((-1)/(-4)). Suppose 24 = 3*f - 2*j, -2*f + 4*j + 16 = 2*j. What is the remainder when 12*1 + t + 1 is divided by f? 7 What is the remainder when 113 is divided by -1 - (0 - 60/2)? 26 Suppose c = -4*c - n + 32, -2*c - 4*n + 2 = 0. Let m = -17 + 36. Calculate the remainder when m is divided by c. 5 Calculate the remainder when -63*(2 + 28/(-12)) is divided by 4. 1 Suppose 2*d + 10 = 7*d. Suppose -3*t = 2*t + 30. What is the remainder when 11 is divided by t*(d + (-16)/6)? 3 Let t = 25 - 17. Suppose -t = -5*c + 32. What is the remainder when 31 is divided by c? 7 Let w(i) = i**2 - 7*i - 51. What is the remainder when 106 is divided by w(13)? 25 Let c(s) = -s**2 - 13*s + 4. Let r be c(-9). Suppose 3*k - 26 = -y, -y = 4*k + 10 - r. Calculate the remainder when 25 is divided by y. 11 Let t = -11 + 15. What is the remainder when 15 is divided by t? 3 Let d(n) = -3*n**3 - 8*n**2 - 9*n + 5. Let q(j) = 7*j**3 + 15*j**2 + 18*j - 11. Let r(x) = 5*d(x) + 2*q(x). Calculate the remainder when 4 is divided by r(-9). 1 Suppose -y + 5*y - 5*g = 50, 2*y + 2*g = 16. Calculate the remainder when 87 is divided by y. 7 Suppose 2*m = 3*n + 2*n - 101, -2*m = -4. Calculate the remainder when n is divided by 11. 10 Suppose m - 1 = -5*n, n - 2*m = 3*m - 5. Suppose 110 = -n*t + 5*t. Calculate the remainder when t is divided by 12. 10 Let c(b) = 15*b**3 - 2*b + 6. Calculate the remainder when c(2) is divided by 31. 29 What is the remainder when 48 is divided by (-90)/(-35)*(-56)/(-6) + 1? 23 Let n(v) = 2*v**2 + 27*v - 32. Let c(u) = u**2 + 13*u - 16. Let y(p) = -5*c(p) + 2*n(p). What is the remainder when 89/3 + 1/3 is divided by y(-11)? 14 Let g(f) be the third derivative of -3*f**4/8 - 2*f**2. Let t be g(-2). Calculate the remainder when 16/(-72) - (-634)/t is divided by 12. 11 Suppose 41 = 3*f - 16. Suppose 0*u - f = -u. What is the remainder when 36 is divided by u? 17 Let q(d) = 2*d**2 + d - 1. Let v be q(-2). Let c = v + 0. Calculate the remainder when c is divided by 4. 1 Suppose -2*z + 13 + 7 = 0. Calculate the remainder when 59 is divided by z. 9 Let t be 9/(-36) + 21/4. Suppose -t*q = -4*u - 24, 2*q - 8 = q + 4*u. What is the remainder when 5 is divided by q? 1 Suppose 0 = t - 4*k - 270, -5*t + 10*t + k - 1287 = 0. What is the remainder when t is divided by 37? 36 Let k(o) = -7 + 2*o**3 - 5*o**3 + 2*o**3 + 3*o + 9*o**2 - 3*o**2. Calculate the remainder when ((-20)/6)/(3/(-18)) is divided by k(6). 9 Suppose 4*v = -8, -5*y + 200 = -4*v + 17. What is the remainder when y is divided by 19? 16 Suppose 2*q = -2*q - 40. What is the remainder when 29 is divided by (13 + q)*16/6? 5 Let l be ((-30)/(-4))/((-12)/112). Let s = -50 - l. What is the remainder when 77 is divided by s? 17 Let k = 2 - 6. Let x = -2 - k. Let y = 4 + -2. Calculate the remainder when y is divided by x. 0 Let q = 6 - 4. Suppose 28 = -q*r + 226. What is the remainder when r is divided by 34? 31 Suppose 6*f - 10 = 4*f. Suppose 2*z - 66 = 4*w, f*w - 42 = -2*z + w. Calculate the remainder when 52 is divided by z. 25 Let r(c) = 12*c**2 - c - 2. Let s be r(-2). Suppose -2*h + s = -0*h. Suppose 2*u = 34 + h. Calculate the remainder when u is divided by 10. 9 Suppose 0 = 5*d + 3*a - 233, -d - 3*a + 41 = -a. Let f(j) = 2*j**2 - j + 2. Let n = 8 + -5. Calculate the remainder when d is divided by f(n). 15 Suppose -5*l + 8*q = 3*q - 560, 0 = -5*q. Calculate the remainder when l is divided by 38. 36 Let y(j) = -2*j + 4. Let d(c) = c + 1. Let i(k) = 3*d(k) + y(k). Calculate the remainder when i(5) is divided by 7. 5 Suppose 0 = k - 0*k - 13. What is the remainder when k is divided by 5? 3 Let f = 25 - 22. Suppose -4*u + 10 = -f*u. What is the remainder when u is divided by 4? 2 Let d = -4 + 8. Let w = d - 2. What is the remainder when 10/4*4/w is divided by 2? 1 Suppose -32 = -4*m + u, -8*m + 32 = -4*m - 2*u. Let a = 23 - 1. What is the remainder when a is divided by m? 6 Suppose -2 = -t - 6. Calculate the remainder when 56 is divided by t/14 - (-856)/56. 11 Let y = 92 + -79. Suppose 3*d - 125 = -5*q, -4 = -3*q + 2*q. Let h = d + 3. Calculate the remainder when h is divided by y. 12 Suppose -94 = -4*r + 14. Suppose 3*w + 2*i - r = -2*w, 4*w - 4*i = 16. What is the remainder when 9 is divided by w? 4 Let r = 11 + -8. Let v = 11 - 7. Suppose h + 4*j - 47 = -v*h, -12 = -4*j. What is the remainder when h is divided by r? 1 Suppose -m = m + 2*k - 44, 0 = 3*m - k - 62. Calculate the remainder when 13 is divided by (m/6)/((-1)/(-2)). 6 Suppose 3*j - 31 = 23. Calculate the remainder when j is divided by 10. 8
Let i = -1523 - -3511. Let a = -32878 + i. What is a rounded to the nearest 1000? -31000 Let v be (2512180/11)/(16/(-800)). Round v to the nearest one million. -11000000 Let n = 226.5 + -310. Let f = n + 139. What is f rounded to the nearest integer? 56 Let a = -494 - -494.514. Let x = a - -42.186. Let q = x - 40. Round q to the nearest integer. 3 Let s = 393 - 388. Suppose 3*x - 8*x + l - 23204 = 0, s*x = -3*l - 23188. Round x to the nearest 1000. -5000 Let g = -359.78 - -359.796077. Round g to three decimal places. 0.016 Let n = -763170907 - -763171136.0000277. Let j = n - 229. Round j to five dps. 0.00003 Let o = 230945 + 133155. What is o rounded to the nearest one hundred thousand? 400000 Let g(z) = -5*z - 3. Let y be g(-1). Suppose 0 = y*c + 2922 + 876. Let h = c + -601. Round h to the nearest one thousand. -3000 Let v = 723 + -738.58. Let p = v + -0.22. Let y = -15.617 - p. What is y rounded to two decimal places? 0.18 Let h be (495 + -815)/((-2)/5500). What is h rounded to the nearest 10000? 880000 Suppose -5*p + 67 = -3*v, -v + 18 = -0*p + 2*p. Suppose -5*y = -p*y + 30. Suppose -1970000 = y*r - 4*r. Round r to the nearest one hundred thousand. -2000000 Let t = -0.122 + -0.3752. Round t to one dp. -0.5 Let m(w) = -5*w**3 - 5*w**2 + 4. Let g be m(5). Let h = g - -231. Round h to the nearest one hundred. -500 Let h be (-4 - -350)*((-7155)/(-6) + 2). Let t = h - 3493297. Round t to the nearest one hundred thousand. -3100000 Let a be -138082027 + 1 - (-239 + 213). Round a to the nearest 1000000. -138000000 Suppose -3*d + 13 = -2*k - 34, 0 = -5*d + 3*k + 78. Let h be 591499993/35 + 3/d. What is h rounded to the nearest one million? 17000000 Let g = -1.33 + -7.77. Let f = 19.2 + g. Let b = 10.1085 - f. What is b rounded to 3 decimal places? 0.009 Let u(k) = 19*k - 15*k + 33*k + 179 - 39 + 108*k. Let x be u(6). Round x to the nearest one hundred. 1000 Let v be (-12)/(-18) + (-66)/(-9). Suppose 8*w - 8 - v = 0. Suppose -3*u + 5*f = 475, w*f - 5 = f. Round u to the nearest 100. -200 Let n = -1039285.892 - -1039751.8920051. Let j = 466 - n. What is j rounded to 7 dps? -0.0000051 Let f = -2.5 - -49.5. Let j = -394532 + 394578.99998. Let o = j - f. What is o rounded to four decimal places? 0 Let p = 503.55 + -503.5376539. What is p rounded to four dps? 0.0123 Let y = 147.6 - 182. Let i = y - -83. Let o = i - 48. Round o to the nearest integer. 1 Let b = -43176872 - -43176869.7300083. Let x = 2.27 + b. What is x rounded to five dps? 0.00001 Let n = -39211.99999977477 + 39212. Round n to 7 decimal places. 0.0000002 Let f(l) = 0 - 472*l + 189*l - 751*l - 72. Let t be f(-8). Round t to the nearest ten thousand. 10000 Let q = -30 - -77. Let c = q - 38. Let b = c + -14.7. Round b to 0 dps. -6 Let o = 13255.8012 - 13258. Round o to one decimal place. -2.2 Let r be (-6)/((18/4)/(-3)). Suppose -5*o + 381 = -3*y, 2*o = -2*o - r*y + 292. Let b be 805 - (o/(-5))/(-3). What is b rounded to the nearest 100? 800 Let o(f) = 33 - 15 + 0 + 13 - f. Let s = -7 + -3. Let n be o(s). What is n rounded to the nearest one hundred? 0 Let p = 0.1825383 + -0.194272. What is p rounded to three decimal places? -0.012 Let m = 17.33535533 + -17.3363. Round m to 4 decimal places. -0.0009 Let y = 681.2 + -651.211. What is y rounded to the nearest 10? 30 Let y = 1121 + 3407. Let n = -4495.91 + y. Let w = n + -2.29. What is w rounded to the nearest ten? 30 Let g = -830.0472 - -0.0472. Let v = g + 830.00042. Round v to five dps. 0.00042 Let n = 361 - 379.9. Let r = 18.900039 + n. What is r rounded to five dps? 0.00004 Suppose 0 = -382*w + 374*w. Suppose w = -30*i + 12*i - 2372400000. What is i rounded to the nearest 1000000? -132000000 Suppose -12*f - 104 - 28 = 0. Let k(u) = -1355*u**2 + 3*u - 12. Let t be k(f). Round t to the nearest 100000. -200000 Let m = 25213953233 + -25213840548.89861. Let x = -112714.5 + m. Let p = x + 30.4. What is p rounded to three dps? 0.001 Let b = 4047.8 + -7805. Round b to the nearest 100. -3800 Let r(g) = 249*g**2 + 14*g. Let f be r(6). Let c = 17472 - f. Let h = c + 4576. What is h rounded to the nearest 10000? 10000 Let a = -159659.332 - -160261. Let i = 600 - a. What is i rounded to one dp? -1.7 Let w = 615.21745 - -0.34255. Round w to the nearest 100. 600 Let z = 19.88169 + -0.12769. Round z to the nearest integer. 20 Suppose 2 = -2*u + 2*f, 2*u - 7*f - 4 = -2*f. Let j(g) = 26*g**3 - 2*g**2 - 6*g - 13. Let a be j(u). What is a rounded to the nearest ten? -720 Let i = -9804.9962755 + 9805. Round i to 4 dps. 0.0037 Let s = 16641 + -16640.941214. Round s to 2 dps. 0.06 Let m = 1442 - 1442.1158. Let y = 26.104 - 26. Let u = y + m. What is u rounded to 3 dps? -0.012 Let d = -0.558 - -1.067. Let t = d + -0.275. What is t rounded to two decimal places? 0.23 Let t = -2.66 - -4.96. Let l = -0.9991 - 1.2962. Let b = l + t. Round b to 3 decimal places. 0.005 Let d(r) = r**2 + 14*r + 2. Let o be d(-14). Suppose 4*s + 516 = -2*f - 240, 0 = o*s + 2*f + 380. Let p = s - -60. Round p to the nearest 10. -130 Let j = -75.82 - -75. Let b = 1.415 + j. What is b rounded to 2 dps? 0.6 Let j = 224 - 457. Let f = j + 233.37. Round f to one decimal place. 0.4 Let y = -4.5416 + -230.2284. Let h = y - -235. What is h rounded to the nearest integer? 0 Let v = -909 + 908.999917. What is v rounded to 5 dps? -0.00008 Let r = 12911.58072 + -12912. Round r to one dp. -0.4 Let k(g) be the third derivative of -59*g**6/120 - 3*g**4/4 - 4*g**3/3 + 4*g**2 + 2. Let f be k(6). What is f rounded to the nearest 1000? -13000 Let q = -357 + 183. Let y = 176.84 + q. Let c = 2.8400211 - y. What is c rounded to six decimal places? 0.000021 Let b = 161.51 - 161.554004. What is b rounded to two decimal places? -0.04 Let p = -5783 - -5783.001688. What is p rounded to five dps? 0.00169 Suppose -5*q + 83831 = -2*d, 67074 = 4*q - 3*d + 6*d. Suppose -29*n + 6*n - q = 0. Round n to the nearest 100. -700 Let j = 6038.956 - 6051. Round j to 0 dps. -12 Let x = -3270.10746 + 0.30746. Round x to the nearest 100. -3300 Let l(o) be the second derivative of o**5/5 - 9*o**4/4 + 13*o**3/6 + 23*o**2 - 18*o. Let m be l(-22). Round m to the nearest 1000. -56000 Let x = 1.0852 - -721.8548. Round x to the nearest one hundred. 700 Let q = 7582.582 - 7589.481838. Let b = -6.9 - q. Round b to 4 decimal places. -0.0002 Let l(h) = 1823*h - 36. Let p be (0 - -15) + (7 - 7). Let o be l(p). Let x be -1 - (o/(-3) + 2). Round x to the nearest 1000. 9000 Suppose -m + 0*o + 6524968 = 4*o, 2*o = 4*m - 26100016. What is m rounded to the nearest one hundred thousand? 6500000 Let q = -206.58 - -206.580038406. Round q to 5 decimal places. 0.00004 Let v = -20 + 9. Let q = -7733.974 + 7723. Let b = q - v. What is b rounded to two dps? 0.03 Let p = -270.24 + 266. Let b = p - -4.239899. Round b to 5 decimal places. -0.0001 Let y = -331893 + 569869. Suppose -5*h = -1318001 + y. Suppose -3*p - 54003 = -c, 2*p - h = -4*c + 7*p. Round c to the nearest 100000. 100000 Let u be (6 + -3 - 2)*(-14)/(-2). Let s(f) = -f**2 + 9*f - 14. Let t be s(u). Suppose -2*q + t*q = -3200. What is q rounded to the nearest one thousand? 2000 Suppose -2*k - 4*z - 10613992 = 0, -4*k = -z + 22922781 - 1694779. Round k to the nearest 1000000. -5000000 Let f = -44582 - -44582.0000178265. What is f rounded to seven decimal places? 0.0000178 Let q = -349 - -346.91. Let o = q - -3.3. Let k = o + 0.55. Round k to one dp. 1.8 Let y(x) = 61*x**2 + 2*x + 13. Let i be y(-6). Let z = i - 18197. Round z to the nearest one hundred thousand. 0 Let g be (6 - 17) + 15 + 172049997 + -1. Round g to the nearest 1000000. 172000000 Let i = -1944.01385999 - -1875.013859. Let b = -210 + 279. Let c = i + b. What is c rounded to 7 dps? -0.000001 Let q = -4359 + 4367.0304. Let i = -0.0204 + q. What is i rounded to 0 decimal places? 8 Let c = -65982.9 - -53382. Round c to the nearest one thousand. -13000 Let z = -26330 - -26330.99884. Let j = z - 1. Round j to 4 dps. -0.0012 Let y = -534627 + 5297. Round y to the nearest ten thousand. -530000 Let y = 793.8 + -11.8. Let v = -858.3 + y. Round v to 0 dps. -76 Let k = -808.05880095 + 807.7868. Let t = 0.272 + k. Round t to seven dps. -0.000001 Let t be (-102)/(-21) + 0 + (-6)/(-42). Suppose t*x - 15730000 = 16*x. Round x to the nearest one million. -1000000 Let k = -34467.9999953757 - -34468. Round k to 7 decimal places. 0.0000046 Let x be 0 + (-340)/(-55) - 6/33. Let r be -1*2 - (5 + (4379 - x)). Round r to the nearest one hundred. -4400
Which is the closest to 0.1? (a) -69 (b) 39 (c) -3 (d) 2 (e) -4 d Which is the closest to 1? (a) 61 (b) -21969 (c) 3 (d) 4 c Which is the closest to 0.03? (a) -5 (b) -0.68 (c) 4 (d) -92 b Which is the closest to 2/5? (a) -3431 (b) -1 (c) 0.4 c What is the closest to -2 in -3470/37, -2/19, 1? -2/19 Which is the nearest to 3? (a) -0.03 (b) 1 (c) 5.178 b What is the nearest to -1 in 38417/5, 1, -2/349? -2/349 Which is the nearest to -1? (a) 145 (b) 0.6 (c) -60 (d) 0.4 d What is the closest to 0.02 in 1, 0.66, -16.11, 2/13? 2/13 What is the closest to -1/30 in -0.0002, -0.4, -69? -0.0002 Which is the closest to -1/4? (a) -21.9 (b) 12806 (c) 3 c Which is the closest to 1/11? (a) 1/6 (b) -0.5 (c) -24.21 (d) 17/6 a Which is the nearest to -560? (a) -5 (b) -2/365 (c) -8 (d) 1/7 c Which is the closest to -2/9? (a) -1668 (b) -0.9 (c) -6/5 b Which is the nearest to -24? (a) 1/8 (b) -11/34 (c) 5 b What is the nearest to 1/2 in -1596/11, 445, 4, 3? 3 What is the nearest to 2/15 in 2/19, 0.2, -0.96, -14/5? 2/19 Which is the closest to 0.2? (a) 40/9 (b) 1513 (c) 1 c Which is the closest to -1? (a) 2190 (b) 45 (c) -0.3 (d) 5 (e) -378 (f) -2/3 f What is the closest to -0.5 in 2/323, 86, 4? 2/323 Which is the nearest to 0? (a) 4/33 (b) 3/5 (c) 0.1 (d) -0.7 (e) -3 (f) 4/279 f Which is the nearest to -1? (a) 510 (b) -1/4 (c) 0.3 (d) 43/9 b Which is the nearest to -2/131? (a) -0.51 (b) 1/6 (c) -2 (d) -8 b Which is the nearest to 0.1? (a) 2/8875 (b) 5 (c) -1 (d) -1/3 (e) -9 a Which is the closest to -1? (a) -2/13865 (b) 0.06 (c) 26 (d) -4 (e) 2/5 a Which is the nearest to -2/5? (a) 6 (b) -5 (c) 3 (d) 1170 (e) 0.14 e Which is the nearest to -0.3? (a) 111762 (b) -1 (c) -4 b What is the nearest to 3 in -13741, -11, -22? -11 What is the nearest to 8/11 in -0.01, -2/73, 0.0878? 0.0878 Which is the nearest to 0? (a) 2 (b) 1 (c) 0.16 (d) -384 (e) 4 c Which is the nearest to -6.2? (a) 4 (b) 1/6 (c) -0.3 (d) 4/3 (e) 6/5 c Which is the nearest to 0.2? (a) -2/13 (b) -2804 (c) 31 (d) 8/7 a What is the nearest to 2/5 in -0.05, 2, 35/4, -2.3? -0.05 Which is the nearest to 0.4? (a) 2/21 (b) -65 (c) -2 (d) -48160 a What is the closest to 3/361 in 5, -44, -0.1, 0.085, -0.2? 0.085 Which is the closest to -1? (a) 14905.7 (b) 1/10 (c) -1 c Which is the nearest to -0.1? (a) 7/12 (b) -1015 (c) -0.3 (d) -51 c What is the nearest to 1/7 in -5, -0.8, -2/119? -2/119 Which is the closest to 1/2? (a) 145854 (b) -9 (c) -3 (d) 3 (e) 0.5 e Which is the nearest to 8? (a) -0.14 (b) 2 (c) 2.1 (d) -4 (e) 4.1 e Which is the nearest to -165.8? (a) 2/37 (b) -4 (c) 6/7 (d) -6 d What is the closest to -3/1939 in 2/23, 5, -55, -0.4, 2? 2/23 Which is the nearest to 1/2? (a) 2761 (b) 0.06 (c) 10 b Which is the closest to 1553.3? (a) -3.2 (b) 1 (c) -3 (d) -11 b Which is the closest to 2? (a) -2 (b) 0.086 (c) 0.4 (d) -161.5 c What is the nearest to 2 in -1/11, 0.9, -77, -5, 2? 2 Which is the closest to -7/2? (a) 0.3 (b) 6 (c) -2.93 (d) -0.03 c What is the nearest to 1/4 in 0.2, 215, -3/7, 14, -4/5? 0.2 What is the nearest to -38 in 7/2, -2, 4.7, -3? -3 Which is the closest to -0.74? (a) 1 (b) 9/844 (c) -15 b What is the closest to -1/4 in 2, -5, -1/188, 29, -1? -1/188 Which is the nearest to 0? (a) -11/6 (b) 3 (c) -4 (d) -2/37727 d Which is the nearest to 19? (a) -1 (b) -1.82 (c) 1.28 (d) 0.5 c Which is the closest to 2? (a) -815.2 (b) 13 (c) 0.1 c Which is the nearest to -4/37? (a) 8026/7 (b) -3/2 (c) -0.04 c Which is the nearest to 247? (a) 12 (b) -1/4 (c) -0.1 (d) -26 (e) -1 (f) -2 a Which is the nearest to -1/2? (a) -7/3 (b) 16/3 (c) 0.6 (d) 2.4769 c Which is the nearest to -563? (a) -1/2 (b) 7 (c) -155 (d) -4 c What is the closest to -2060 in -4, 0.5, -23, -3? -23 Which is the closest to 1/3? (a) 0 (b) -3/20 (c) -5.09 (d) 1.9 (e) -5 (f) -9/4 a What is the closest to -11 in 25, 1/7, -2/453, 1, 1/12, -1/6? -1/6 What is the closest to -1/4 in 3, -2/7, 1/2, 1182, 4.29? -2/7 Which is the closest to 1/3? (a) 72006 (b) -37 (c) -4/7 c Which is the nearest to 5? (a) 29/3 (b) -1/23 (c) -0.3 (d) 0.5 (e) 20/67 (f) 0.2 d Which is the closest to 3/7? (a) 0 (b) 1315/3 (c) -4 (d) 0.1 (e) 2 d What is the nearest to -8236.9 in -1, 1, -47? -47 What is the closest to 20 in -4, -20, -151, 0.09, -0.5? 0.09 What is the closest to -21 in -1/5, -0.12, 0.5, 4, -1/181? -1/5 What is the closest to 2/2463 in 0, -4, -2/9, 2.5, -2? 0 Which is the nearest to 2/13? (a) 122 (b) -173 (c) 0.1 c Which is the closest to 1840/13? (a) -2/19 (b) 4 (c) 0.2203 b What is the closest to 11.05 in -0.036, -1/12, -2/9, -1/4, 0.1? 0.1 What is the closest to -3/5 in -5, -2/1525, -4, -1242? -2/1525 What is the nearest to 27736 in -0.5, -0.15, 1/7? 1/7 Which is the nearest to -1? (a) -5 (b) 2/9 (c) 4/17 (d) 4.4 (e) -6.3 b What is the closest to 9134.57 in -0.4, 9, -4? 9 Which is the nearest to 10/7? (a) -2/5 (b) 1/8 (c) -12.3036 b Which is the nearest to 2? (a) 1/3 (b) -56 (c) 7817 (d) 2 d What is the closest to -2/5 in 0.07, -7/4, 1.08, 1/33, 5? 1/33 Which is the nearest to 3/7? (a) -3313 (b) 0.061 (c) -1/2 (d) 3 b What is the nearest to -2 in 0.3, 1190, -72, -0.5, 7/3, -0.1? -0.5 Which is the closest to -0.1? (a) -14250/13 (b) -0.28 (c) 0 c Which is the closest to -20? (a) 1/6 (b) -0.4 (c) -8.5 (d) 15/4 (e) -2/11 (f) -1/5 c Which is the nearest to -2/3? (a) -5 (b) -3/19 (c) 22.264 b What is the closest to 50 in -2, 148, 0.2, 235, 0.5? 0.5 What is the closest to -2 in 2, 5, -16/3, -87, 3/5? 3/5 Which is the closest to -0.02? (a) 2/9 (b) 0.6 (c) -148/5 (d) 1/4 a Which is the closest to 2470? (a) -2 (b) -4 (c) -1/3 (d) 49 (e) 9 d Which is the closest to -1? (a) -10/3 (b) 2.57 (c) -16.2 a What is the nearest to 0 in 4, -0.07, 25851? -0.07 What is the nearest to -149 in -2, -0.3, -6, 1.1, 13/4? -6 Which is the nearest to -0.29? (a) -0.5 (b) 3 (c) -1 (d) -357 (e) 0.9 (f) 1 a What is the nearest to -0.1 in 0.031, -0.1, -136888? -0.1 What is the closest to 482 in -0.23, -0.2, 83? 83 What is the closest to -329 in -0.1, -1/7, -1/3, 13, -1? -1 What is the closest to -1 in 4920, -4, 0.5, 14/67? 14/67 What is the closest to 2 in -2168, -21, -0.2, 9? -0.2 What is the nearest to -1 in -5, -75109.3, -0.1, -4? -0.1 What is the nearest to 2/3 in -4/7, -0.06, -0.3, -2, 2144/5, -1/4? -0.06 What is the closest to 6/187 in -0.4, 6, -11, 2, -0.2? -0.2 What is the nearest to -15 in 2, -3/463768, 1? -3/463768 Which is the nearest to -0.1? (a) -5/3 (b) 0.2 (c) 0.1 (d) -48 (e) 8 c What is the nearest to -15 in -335, 0.07, 17? 0.07 Which is the nearest to 919948? (a) -0.2 (b) 5/4 (c) 35 c What is the closest to 1 in -2/19, 3, -0.4, 1.2, 97? 1.2 Which is the nearest to 0.1? (a) -1766 (b) -0.5 (c) 0.5 (d) 114 c Which is the nearest to 0.1? (a) -0.5 (b) -2/33 (c) -324 (d) -2/5 (e) -4 (f) -660 b Which is the nearest to 3? (a) 1/6 (b) 1/5 (c) 9.226 (d) 4 d What is the closest to -1 in -3/112, 0.078, 0.11? -3/112 What is the nearest to 7 in -2/11, 0.5, -514566, 0.2? 0.5 Which is the closest to -1? (a) -15826 (b) 0.2 (c) 5 (d) 3 (e) 2/5 b What is the closest to -89792 in 1.3, 5/2, 4, 0.03? 0.03 Which is the closest to -2/5? (a) -86/3 (b) -0.4 (c) -115 (d) 0.4 (e) 0.6 b What is the closest to 0.07 in 1, -23261, -2/3, 2? -2/3 Which is the nearest to -126? (a) 1/4 (b) -0.0655 (c) -25 c Which is the closest to 5? (a) 3326 (b) 0.3 (c) 2/15 (d) 4 (e) -9 (f) 16 d Which is the nearest to -1/3? (a) -0.1 (b) 0.11 (c) -4 (d) -83 (e) -22/7 a Which is the closest to 2.9? (a) -5 (b) 1.51 (c) -0.3 (d) -24 (e) -4 b What is the nearest to 10 in 30/73, 8, -0.2, 0.7? 8 What is the nearest to -1 in 11, -739, 0.5, 5, -4? 0.5 Which is the nearest to -0.1? (a) 4/5 (b) -20 (c) 2/11 (d) 12965 (e) -1/2 c Which is the nearest to 9/16? (a) -7/8 (b) 5 (c) -2/13 (d) -3/2 c What is the nearest to 1 in 11.1941, -1, 4/3, 0.1, -2? 4/3 What is the closest to -132 in 35, -0.1, 2/3, -3/4? -3/4 What is the closest to -348 in -1.3, 0.6, -1, -1/32? -1.3 What is the closest to 0 in -8939805, -2, 2/17? 2/17 What is the nearest to 1 in -2, 0.1, -10, -123, 0, 18? 0.1 Which is the nearest to 1? (a) -15 (b) 2 (c) -4/9 (d) -3/5 (e) 116 b Which is the closest to 3801? (a) -0.4 (b) -1/6 (c) -2.4 (d) -2 b Which is the nearest to -3? (a) 2 (b) 0.1472 (c) 5 (d) 0.1 (e) 64 d Which is the nearest to -12? (a) -10/3 (b) -0.5 (c) 4 (d) -0.32 (e) 0.022 (f) -2 a
Let a(i) = 6*i. Let v(d) = -11*d**2 - 13*d**2 + 37*d**2 - 12*d**2. Give v(a(f)). 36*f**2 Let n(z) = z**2 - 8*z + 1. Let c be n(6). Let a(g) = 3 - 14 + 444*g - 435*g. Let p(s) = -3*s + 4. Let o(f) = c*p(f) - 4*a(f). Let r(j) = -j**2. What is o(r(h))? 3*h**2 Let y(b) be the first derivative of -b**6/60 - b**3 - 2. Let t(m) be the third derivative of y(m). Let g(q) = -2*q**2. What is t(g(n))? -24*n**4 Let o(i) = -2*i + 9. Let q(w) = -48*w**2 + 2. Determine q(o(u)). -192*u**2 + 1728*u - 3886 Let j(x) = -10*x**2 - 2. Let d(c) be the second derivative of -c**3/6 - 47*c. Calculate d(j(s)). 10*s**2 + 2 Let q(b) = -5*b + 3. Let f(k) = 6*k - 4. Let w(i) = -3*f(i) - 4*q(i). Let c(x) = 23*x**2. Determine w(c(g)). 46*g**2 Let d(m) = m. Let a(y) be the third derivative of -y**4/6 - 4*y**2. Give d(a(h)). -4*h Let g(i) be the first derivative of -i**5/60 + i**2 - 1. Let q(x) be the second derivative of g(x). Let a(h) = 2*h. What is q(a(t))? -4*t**2 Let v(m) be the second derivative of -m**3/3 + 2*m. Let r(k) = 2*k**2 - 2*k**2 - k**2. What is v(r(c))? 2*c**2 Let f(u) = 3*u**2. Suppose -3 - 1 = -2*t - 2*q, t - q = 8. Suppose -2*l = -t*c + 3*c - 6, 15 = 5*c. Let y(m) = l + m - 3 - 3. Calculate y(f(r)). 3*r**2 Let c(t) = -t**2. Let p(l) = 2*l - 5 - 6*l + 2*l. Let u(w) = -w - 2. Let y(j) = -2*p(j) + 5*u(j). What is y(c(d))? d**2 Let g(i) = 0 - 239*i + 0 + 241*i. Let x(k) be the third derivative of 0 + 0*k**4 + 1/20*k**5 + 0*k + 0*k**3 - 2*k**2. Give g(x(m)). 6*m**2 Let y(z) be the first derivative of -1/2*z**2 + 1 + 0*z. Let o(d) be the first derivative of -d**3/3 + 10. What is o(y(t))? -t**2 Let d(b) be the third derivative of 0*b**4 + 0*b**3 + 0*b + b**2 + 0 + 1/30*b**5. Let j(q) = q. Give j(d(k)). 2*k**2 Let z(r) = r**2. Let f(p) = -p**2 + 4. Let n be f(2). Let m(q) be the third derivative of 0*q**3 + 0*q**4 + 1/60*q**5 - 2*q**2 + n + 0*q. Calculate m(z(s)). s**4 Let p(v) be the third derivative of v**5/60 + 5*v**2. Let k(f) = 2*f. Calculate p(k(c)). 4*c**2 Let q(a) = -4*a**2 + 27*a**2 - 15*a**2. Let g(o) = o. Calculate q(g(h)). 8*h**2 Let g(a) = -a. Let l(m) = -3*m. Let q(w) = -8*g(w) + 3*l(w). Let j = 18 - 16. Let o(p) = 9*p**2 - 2*p**j - 3*p**2. Calculate q(o(s)). -4*s**2 Let k(a) = a**2. Suppose 0*w + 10 = 5*w. Let v be 6 - w - (3 + -1). Let f(i) = -1 + v*i + 3 - 2. Calculate k(f(j)). 4*j**2 Let z be -2*(-3 - (3 + -5)). Let f(t) = -z*t**2 - 8 + 8. Let i(u) = 7*u**2. Calculate i(f(h)). 28*h**4 Let b(u) = 66*u. Let d(i) = -5*i. Let h(q) = 2*b(q) + 27*d(q). Let j(a) = 4 + 2*a - 6 + 2. What is j(h(l))? -6*l Let q(a) = -13*a. Let f(d) = -1. Let i(k) = -6*k + 4. Let p(j) = -4*f(j) - i(j). Give q(p(s)). -78*s Let k(r) = 65*r**2. Let u(a) = -4*a. Give u(k(c)). -260*c**2 Let i(c) = -21*c**2 - 7. Let u(j) = j**2. Give u(i(b)). 441*b**4 + 294*b**2 + 49 Let u(d) = 612*d. Let m(c) = -4*c**2. What is m(u(k))? -1498176*k**2 Let n(s) be the third derivative of s**5/60 + 2*s**2. Let g(q) be the first derivative of 1 - 2/3*q**3 + 0*q**2 + 0*q. Give n(g(d)). 4*d**4 Let b(o) = -2*o. Let f(r) = -r. Let v(y) = 5*b(y) - 8*f(y). Let p = 1 - -1. Let g(d) = 2*d**p - d**2 - 2*d**2. What is v(g(q))? 2*q**2 Let x(b) be the second derivative of -b**3/6 + 35*b. Let z(j) = 2*j**2. Determine x(z(f)). -2*f**2 Suppose -5*d + 4*w + 22 = 0, d + d + 4*w = -8. Let h(j) = -2*j**d + j**2 + 3*j**2. Let n(q) = -3*q. Give n(h(o)). -6*o**2 Let h(b) = 388*b. Let v(q) = 3*q. Calculate v(h(o)). 1164*o Let m(z) = -3*z**2 - 3*z**2 + 4*z**2. Let t(v) be the second derivative of -v**4/2 + 3*v. What is t(m(a))? -24*a**4 Let b(w) be the first derivative of 11*w**2/2 + 9. Let d(f) = -2*f**2. Determine d(b(s)). -242*s**2 Let d(j) = 19*j**2. Let c(l) = -10*l. What is d(c(p))? 1900*p**2 Let q(m) = 2*m. Let h(p) = -p**2 + 17*p - 21. Calculate h(q(l)). -4*l**2 + 34*l - 21 Let l(d) = 3*d. Let t(j) = 3*j. Let u(i) = -7*l(i) + 6*t(i). Let a(p) = 2*p**2 + 872 - 872. What is u(a(z))? -6*z**2 Let b(q) = q**2 - q - 1. Let p(m) = m + 1. Let n(r) = -2*b(r) - 2*p(r). Let f(u) = 21 + 2*u + 23 - 44. Calculate n(f(t)). -8*t**2 Let b(j) = -j. Let p(q) be the third derivative of -3*q**5/10 - 14*q**2. Give p(b(z)). -18*z**2 Let u(v) = 2*v**2 + 2. Let m(h) = 6. Let z(b) = -1. Let t(y) = -m(y) - 5*z(y). Let r(j) = -2*t(j) - u(j). Let q(g) = -3*g. What is r(q(o))? -18*o**2 Let a(h) = 26*h**2. Let p(k) = k**2 + 126*k. Determine p(a(x)). 676*x**4 + 3276*x**2 Let s(u) = -204 - 7*u + 204. Let i(c) = -c. Calculate i(s(h)). 7*h Let y(z) = -3*z**2. Let j(f) be the third derivative of 0*f**3 + 0*f - 3*f**2 + 0 - 1/24*f**4. Give y(j(x)). -3*x**2 Let z(m) = 3*m. Let x(n) = -17*n. Determine x(z(s)). -51*s Let i(r) = -r**2 - 18*r. Let q(v) = -9*v. Determine q(i(t)). 9*t**2 + 162*t Let t(j) = -8*j**2. Let l(s) = -302*s. Determine l(t(v)). 2416*v**2 Let k(f) = -38*f**2. Let o(i) be the first derivative of -i**3/3 + 18. Determine o(k(w)). -1444*w**4 Let g(b) be the third derivative of 1/30*b**5 + 0*b**4 + 0*b**3 + 0*b + 0 - b**2. Let r(j) = 4*j - 4*j - 2*j**2 + 3*j**2. Determine g(r(o)). 2*o**4 Let h(s) = -1236*s**2. Let l(g) = 2*g. Determine l(h(v)). -2472*v**2 Let v(b) = 4*b**2 + 1. Let j(x) = -16*x. Calculate v(j(s)). 1024*s**2 + 1 Let o(u) = u**2. Let z(f) = f**2 - 3351. Give z(o(a)). a**4 - 3351 Let l(m) = m**2. Let g(x) = -1543*x**2. What is g(l(k))? -1543*k**4 Let z(u) = -2*u**2. Let b(j) = -4*j + 2. Let v(w) = -16*w + 9. Let a(h) = -18*b(h) + 4*v(h). Determine a(z(l)). -16*l**2 Let s(r) = -2*r. Let m(f) be the second derivative of 5/12*f**4 + 0*f**2 - 4*f + 0*f**3 + 0. What is s(m(j))? -10*j**2 Let g(s) = -s**2. Let u = -1 - -3. Let c be -1 + 1 + 5 - 1. Let y(b) = 3*b + u*b - c*b. Calculate y(g(p)). -p**2 Let q(v) = -33*v - 37*v + 77*v. Let c(r) = -2*r**2. Determine q(c(y)). -14*y**2 Let l(y) = -6*y. Let o = 39 - 27. Let k(g) = -6*g + o*g + 2*g**2 - 6*g. Calculate l(k(p)). -12*p**2 Let x(w) = -17*w + 3. Let j(t) = -18*t + 4. Let v(b) = -3*j(b) + 4*x(b). Let z(u) = 2*u. What is v(z(l))? -28*l Let o(z) = -12*z + 2*z + 6*z - 10*z. Let n(y) be the second derivative of y**4/6 - 2*y. Determine n(o(g)). 392*g**2 Let d(w) = -6*w**2 - 4*w. Let b(v) = v**2 + v. Let z(s) = -4*b(s) - d(s). Let l(y) be the second derivative of -y**3 + 4*y. Calculate l(z(o)). -12*o**2 Let h(o) = o. Let k(f) = -3*f**2 + f - 1. Let v(g) = -g**2 - g + 1. Let c(p) = k(p) + v(p). Give c(h(t)). -4*t**2 Let g(y) = -5*y. Let i(m) = m - 1. Let z(c) = -2*c + 1. Let x be z(-1). Suppose x*a = -3 - 0. Let h(q) = -q - 1. Let t(f) = a*h(f) + i(f). What is t(g(u))? -10*u Let t(v) = 6*v + 11. Let g(d) be the second derivative of d**3/6 + d**2 + d. Let m(h) = 22*g(h) - 4*t(h). Let f(w) = w**2. What is m(f(n))? -2*n**2 Let x be (3 - 2)/((-2)/(-4)). Let t(u) = u**2 - x*u**2 + 2*u**2. Let k(w) be the third derivative of -w**5/30 + 2*w**2. Determine k(t(a)). -2*a**4 Let f(b) = -122*b - 5. Let x(k) = -2*k**2. Determine f(x(q)). 244*q**2 - 5 Let u(d) = d + 3. Let q(n) = -2. Let j(i) = 3*q(i) + 2*u(i). Let t(l) = 21*l**2. Calculate t(j(z)). 84*z**2 Let q(s) = 5*s. Let o(r) = -r**2 + 6. Let x(c) = -c**2 + 5. Let n(j) = -5*o(j) + 6*x(j). Give n(q(f)). -25*f**2 Let o = 18 + -6. Let p(n) = n + 4*n + 8*n - o*n. Let m(l) = -l - 4*l + 6*l. Determine p(m(x)). x Let p(s) be the third derivative of -s**4/8 - s**3/6 - 17*s**2. Let u(c) = -c**2. Give p(u(l)). 3*l**2 - 1 Let d(g) = 12*g - 1. Let o(c) = 8*c. Calculate d(o(a)). 96*a - 1 Let x(g) be the first derivative of -2*g**3/3 + 3. Let s(t) = -23 + 6*t - 15 + 38. Calculate s(x(v)). -12*v**2 Let s(k) = -66*k + 19*k + 20*k + 23*k. Let n(q) = 3*q. What is n(s(y))? -12*y Let y(q) be the third derivative of 29*q**4/24 - 45*q**2. Let n(j) = 2*j**2. What is n(y(i))? 1682*i**2 Suppose -5*x + 6*x - 37 = 0. Let r(o) = -x - 6*o + 4*o + 37. Let m(g) = g**2. Give m(r(i)). 4*i**2 Let w(m) = 9*m**2. Let z(q) = 8*q**2 + 6*q + 6. Let r(j) = j**2 + j + 1. Let i(p) = 6*r(p) - z(p). Determine w(i(u)). 36*u**4 Let n(l) = -12*l**2. Let j(d) be the second derivative of -d**4/6 - 8*d. Give n(j(f)). -48*f**4 Let p(j) = -j + 5*j - 2*j - j. Let x(o) = 3*o**2. Let g(y) = 3*y**2. Let h(z) = 2*g(z) - 3*x(z). Give p(h(n)). -3*n**2 Let i(x) = -4*x**2. Let a(y) = -5*y**2 + 5*y. Let r(b) = 2*b**2 - 3*b. Let w(q) = 3*a(q) + 5*r(q). What is i(w(z))? -100*z**4 Let s(m) = m. Let o(l) = 603*l. What is o(s(c))? 603*c Suppose -2*t - p + 5 - 2 = 0, 0 = -t - 2*p - 6. Suppose 0*c = -c. Let b(w) = -3*w + c + 4 - t. Let o(n) = 2*n**2. Give o(b(y)). 18*y**2
List the prime factors of 4149133720. 2, 5, 79, 89, 14753 What are the prime factors of 670384818? 2, 3, 23, 1619287 List the prime factors of 1744390304. 2, 19, 2869063 What are the prime factors of 135663983? 7, 13, 1490813 What are the prime factors of 164556059? 127, 1295717 List the prime factors of 236043558. 2, 3, 1457059 List the prime factors of 76331870. 2, 5, 17, 449011 What are the prime factors of 1898259? 3, 11, 23, 41, 61 What are the prime factors of 1804665632? 2, 7, 11, 6053 What are the prime factors of 157743354? 2, 3, 29, 307, 2953 List the prime factors of 262983756. 2, 3, 7, 3130759 What are the prime factors of 92238967? 67, 1376701 List the prime factors of 173277442. 2, 13, 6664517 What are the prime factors of 277239998? 2, 7, 61, 324637 What are the prime factors of 146914901? 7, 17, 37, 61, 547 What are the prime factors of 1104566748? 2, 3, 19, 397, 12203 List the prime factors of 690549484. 2, 172637371 List the prime factors of 1147554109. 13, 6790261 List the prime factors of 1078877623. 1621, 665563 List the prime factors of 10850925. 3, 5, 149, 971 List the prime factors of 30832348. 2, 7708087 What are the prime factors of 569574779? 569574779 What are the prime factors of 144536459? 43, 53, 63421 What are the prime factors of 209538012? 2, 3, 751, 23251 What are the prime factors of 496803732? 2, 3, 181, 228731 What are the prime factors of 891607812? 2, 3, 41, 547, 3313 What are the prime factors of 133868284? 2, 11, 3042461 List the prime factors of 65404927. 7, 107, 87323 List the prime factors of 56621190. 2, 3, 5, 31, 107, 569 What are the prime factors of 3298418? 2, 173, 9533 What are the prime factors of 176489625? 3, 5, 13, 41, 883 List the prime factors of 841110835. 5, 11657, 14431 List the prime factors of 1899119623. 17, 67, 1667357 What are the prime factors of 552350952? 2, 3, 7671541 List the prime factors of 17141480. 2, 5, 139, 3083 What are the prime factors of 60700638? 2, 3, 2521, 4013 List the prime factors of 661107852. 2, 3, 6121369 List the prime factors of 1058687885. 5, 19, 11144083 What are the prime factors of 41232241? 41232241 List the prime factors of 467663037. 3, 701, 222379 What are the prime factors of 2952521099? 11, 131, 2048939 List the prime factors of 46110023. 46110023 What are the prime factors of 6073409318? 2, 19, 159826561 List the prime factors of 2455299925. 5, 13, 389, 19421 List the prime factors of 6767509. 7, 359, 2693 List the prime factors of 2721415298. 2, 7, 10211, 19037 List the prime factors of 125857673. 173, 727501 List the prime factors of 59438300. 2, 5, 233, 2551 What are the prime factors of 49846473? 3, 71, 78007 What are the prime factors of 1406747000? 2, 5, 229, 6143 List the prime factors of 480155424. 2, 3, 7, 714517 What are the prime factors of 54618722? 2, 17, 1606433 What are the prime factors of 345533208? 2, 3, 43, 113, 2963 List the prime factors of 20181757. 20181757 List the prime factors of 7599329406. 2, 3, 1723, 245029 What are the prime factors of 2262227578? 2, 13, 61, 109721 What are the prime factors of 424736563? 487, 872149 What are the prime factors of 870023781? 3, 11, 2929373 List the prime factors of 331276748. 2, 11, 7529017 What are the prime factors of 2033720585? 5, 13, 1223, 25583 What are the prime factors of 870477597? 3, 11, 109, 8963 What are the prime factors of 3557650944? 2, 3, 2316179 List the prime factors of 1049184466. 2, 11, 71, 227, 269 List the prime factors of 992945. 5, 198589 List the prime factors of 147628635. 3, 5, 7, 11, 127817 What are the prime factors of 86713597? 86713597 What are the prime factors of 49293281? 6277, 7853 What are the prime factors of 139095227? 109, 1276103 What are the prime factors of 161295862? 2, 7, 13, 886241 List the prime factors of 67868341. 397, 170953 List the prime factors of 119463666. 2, 3, 7, 406339 List the prime factors of 322432515. 3, 5, 23, 103843 List the prime factors of 509980569. 3, 7, 17, 859, 1663 List the prime factors of 112721788. 2, 293, 96179 What are the prime factors of 50830911? 3, 307, 18397 What are the prime factors of 29444846? 2, 3557, 4139 What are the prime factors of 494960594? 2, 247480297 List the prime factors of 5628004305. 3, 5, 7, 11, 983, 4957 What are the prime factors of 1850553192? 2, 3, 77106383 List the prime factors of 93151630. 2, 5, 11, 13, 65141 List the prime factors of 15052685. 5, 3010537 What are the prime factors of 1098633676? 2, 7, 31, 727, 1741 List the prime factors of 5084562683. 8263, 615341 What are the prime factors of 2139499855? 5, 427899971 List the prime factors of 428721664. 2, 7, 37, 53, 61 What are the prime factors of 96474215? 5, 19294843 List the prime factors of 27041385. 3, 5, 7, 36791 What are the prime factors of 381787004? 2, 95446751 List the prime factors of 1203789856. 2, 17, 73, 30313 What are the prime factors of 2313633396? 2, 3, 192802783 What are the prime factors of 140513853? 3, 3733, 12547 List the prime factors of 2038742533. 331, 1187, 5189 What are the prime factors of 366981230? 2, 5, 7, 11, 476599 List the prime factors of 848101256. 2, 106012657 What are the prime factors of 148558039? 7, 29, 439, 1667 What are the prime factors of 41332058? 2, 23, 898523 What are the prime factors of 178215341? 59, 3020599 What are the prime factors of 301775069? 283, 1066343 What are the prime factors of 546771751? 546771751 List the prime factors of 65104088. 2, 7, 1162573 List the prime factors of 80944283. 7, 59, 195991 What are the prime factors of 556621402? 2, 5381, 51721 What are the prime factors of 4122190155? 3, 5, 1933, 142169 What are the prime factors of 1917777016? 2, 53, 4523059 What are the prime factors of 40082733? 3, 4453637 What are the prime factors of 21458457? 3, 41, 58153 List the prime factors of 2210955918. 2, 3, 368492653 List the prime factors of 26393572. 2, 43, 173, 887 List the prime factors of 773911516. 2, 7, 29, 953093 What are the prime factors of 59352100? 2, 5, 17, 34913 List the prime factors of 246322019. 23, 463, 23131 What are the prime factors of 122119803? 3, 13, 1043759 List the prime factors of 80966116. 2, 7, 11, 262877 List the prime factors of 675240180. 2, 3, 5, 43, 261721 What are the prime factors of 196210227? 3, 197, 331997 List the prime factors of 2748120246. 2, 3, 152673347 What are the prime factors of 42737047? 41, 73, 109, 131 What are the prime factors of 10144371? 3, 719, 4703 List the prime factors of 1134245207. 23, 49315009 What are the prime factors of 661438726? 2, 13, 25439951 List the prime factors of 33443075. 5, 1337723 List the prime factors of 16328036. 2, 79, 163, 317 List the prime factors of 86768570. 2, 5, 7, 1239551 List the prime factors of 55100020. 2, 5, 31, 181, 491 List the prime factors of 51648490. 2, 5, 5164849 What are the prime factors of 312819797? 43, 7274879 What are the prime factors of 351071936? 2, 5485499 List the prime factors of 3242823021. 3, 191, 1886459 List the prime factors of 5427606101. 19, 1553, 183943 What are the prime factors of 2076823738? 2, 11, 97, 773, 1259 List the prime factors of 2055251394. 2, 3, 7, 19, 13627 List the prime factors of 5286930819. 3, 1249, 1410977 List the prime factors of 7236217862. 2, 36527, 99053 What are the prime factors of 30459117? 3, 13, 781003 What are the prime factors of 364005468? 2, 3, 3370421 List the prime factors of 81508707. 3, 7, 61609 List the prime factors of 46078663. 46078663 What are the prime factors of 466373364? 2, 3, 1409, 27583 List the prime factors of 665447230. 2, 5, 7, 9506389 What are the prime factors of 1701775910? 2, 5, 8039, 21169 What are the prime factors of 63796622? 2, 83, 384317 What are the prime factors of 35549573? 107, 457, 727 What are the prime factors of 1533357140? 2, 5, 7, 47, 467, 499 What are the prime factors of 975627680? 2, 5, 101, 60373 List the prime factors of 243931228. 2, 53, 439, 2621 List the prime factors of 373467831. 3, 11, 1028837 What are the prime factors of 1502521205? 5, 300504241 What are the prime factors of 1675861024? 2, 911, 57487 List the prime factors of 226057061. 226057061 List the prime factors of 43756313. 43756313 What are the prime factors of 794434713? 3, 264811571 List the prime factors of 125109481. 7, 17872783 List the prime factors of 758919952. 2, 7, 1597, 4243 List the prime factors of 467465848. 2, 29, 2014939 What are the prime factors of 4119800865? 3, 5, 83, 3309077 List the prime factors of 59371273. 13, 37, 123433 What are the prime factors of 419429936? 2, 179, 146449
Suppose 2*a + 5*l = 5*a - 15, -a + 5*l = -15. Solve a = -0*g - 2*g - 8 for g. -4 Let b be -2*(-4 + (-24)/(-3)). Let m = 2 - b. Solve f + m = -f for f. -5 Let d(t) = 3*t - 9. Let i be d(8). Suppose -5*z = 2*n - 15, -5*z = 3*n - i - 5. Suppose 0 = -0*k + n*k. Solve -4*b = -k*b - 20 for b. 5 Let m = -3 + 8. Suppose 2*k + 3*f + f = 12, 0 = -m*k + 2*f + 18. Solve -v = k*v for v. 0 Suppose -4 = -3*c + 5. Let a(k) = 7 - k**2 + k**3 - c*k**2 - 2 - 6*k. Let i be a(5). Solve i = v + 4*v - 25 for v. 5 Suppose -3*y - 6 = -5*y. Suppose -4*p = 5*h + 101, -3*p + 3*h = -5*p - 51. Let w be 2/(p/14 + 2). Solve -y*n - w + 1 = 0 for n. -2 Suppose 3*r - 45 = -w, -5*w + 1 + 14 = r. Solve -4*u - u = -r for u. 3 Let o = 93 + -53. Suppose -o = -3*m + 17. Let q = -3 + m. Solve 5*d + 9 + q = 0 for d. -5 Let w = -2 - -5. Let z be 3/5 - (-18)/(-30). Suppose 0 = -l - w*q - z + 8, 0 = -l + q. Solve -l*f + f + 3 = 0 for f. 3 Suppose 3*l + 2*z - 4 = 10, z = 1. Let m(i) = -i**2 - 10*i. Let v be m(-7). Suppose 5*q = -g - v, -q + 4 = 3*g - 3. Solve -4*t + g = -l for t. 2 Suppose 4*c + 2 = 5*f, 2*f - 13 + 5 = -2*c. Solve -10 = -4*b + c for b. 3 Let t be ((-15)/(-5) - 5)/(-1). Solve -t*w - 4 = -4*w for w. 2 Let l be 57/5 + 15/25. Suppose k + 0*k - 2*q = 16, -3*k - 3*q = -l. Let r(i) = i**3 - 5*i**2 + 5*i + 1. Let x be r(4). Solve -x = -k*v + 3*v for v. 1 Let x be 1/(-1) + (-2 - -2). Let p be (0 + x - 1)*-2. Suppose -s - 5 = 4*k - 14, 0 = p*s - 2*k. Solve q = 2*q + s for q. -1 Suppose 4*t - d + 16 = 0, 0 - 1 = -t - d. Let b be (-2 - 12)*2/4. Let g = t - b. Solve g = -3*y - 8 for y. -4 Let n(m) = m**2 - 2*m + 3. Let j be n(2). Let g be 2/6 - (-1)/(-3). Let k be 0/(0 - -3) + g. Solve k = j*t + 2*t for t. 0 Let m(q) = -q**2 - 12*q + 12 + 19*q - 6*q. Let b be -1 + 2 - (2 + -1). Let j be m(b). Solve 4*p - j = 8 for p. 5 Let v(j) be the first derivative of j**4/4 - 4*j**3 + 11*j**2/2 + 5*j + 2. Let p be v(11). Suppose -2*a - 3*a + 30 = 0. Solve p*k + a = 2*k for k. -2 Let n = -1 + 4. Let t be (4/(-7))/((-8)/112). Solve t*w - 5*w = -n for w. -1 Let n = 38 - 72. Let q = n - -24. Let v = q - -16. Solve v*t - 2*t = 16 for t. 4 Suppose -3*v + 0 = -6. Let j be ((-4)/12)/(v/(-12)). Let k = 2 - j. Solve 4*u + 1 - 13 = k for u. 3 Suppose 115 = 3*c + 2*c. Suppose 0 = -2*a + 27 + c. Solve a = g + 4*g for g. 5 Suppose p + 25 = 2*r, 40 = 3*r - 0*r - 2*p. Solve 6*u = u - r for u. -2 Let d(i) = -i**2 - 10*i - 9. Let z be d(-8). Let m be (-2)/2 + z/7. Let f = 19 + 1. Solve o + 3*o + f = m for o. -5 Let r = 90 + -84. Solve -w = -r*w for w. 0 Let i be 4/(-8)*1 + 55/10. Suppose -3 = -5*j + 3*f + 1, -3*j = 3*f - 12. Solve -j*q + q = -i for q. 5 Let h be (9/(-18))/((-1)/4). Let n be h/6 - 17/(-3). Solve -n*k = -3*k for k. 0 Let w(u) = -u**2. Let t be w(0). Solve -2*h = -t*h - 2 for h. 1 Suppose 0*m + 3*o = 4*m, 0 = -5*m + o + 11. Solve 7*u = m*u + 12 for u. 3 Suppose 10 = 5*q - 0*q. Solve q*r = -0*r - 10 for r. -5 Suppose -5*g = 2*g - 21. Solve 2 = g*h + 5 for h. -1 Let a(w) be the second derivative of w**4/12 + w**3/6 - w. Let r be (-1)/(-4) + 42/(-8). Let z be a(r). Solve 5*n - n + z = 0 for n. -5 Suppose -4*x + 31 = 3*b - 0*x, -4*b + 5*x = 0. Suppose -3*c = -c - 28. Suppose -2*i - i - 2 = 4*u, -2*u = -5*i + c. Solve 3*h = b*h + i for h. -1 Let s = 176 + -172. Solve 9 = -s*n + n for n. -3 Suppose -10 = -v + a, 2*a = 4*v - 0*a - 30. Suppose -3*c = -r + 7, r - 2*c - 3 - 3 = 0. Let y be 22*(-2 + (-5)/(-2)). Solve -v*l - r = y for l. -3 Let o(j) = 3*j - 1. Let b be o(3). Let i be 1/1 + 0 + 1. Suppose -2*w = i*w. Solve -3*v + v + b = w for v. 4 Let y = -9 - -15. Solve -n + 10 = -y*n for n. -2 Let g = 61 + -42. Let h = 22 - g. Solve -x - h = -4*x for x. 1 Suppose 0 = -4*z - 0*z - 28. Let a = -5 - z. Solve 2*j = 4*j + a for j. -1 Suppose 2*g = 11*g - 63. Solve 4*p + g + 9 = 0 for p. -4 Suppose 0 = -4*c + 8. Let y = c - -1. Let p be 1 - (-4)/1 - 0. Solve -y = 4*r - p*r for r. 3 Suppose 0*m - 5*m = -15. Suppose -m*k + 0*k = -51. Suppose 0 = -5*d, -3*d + k = 5*t + 2. Solve 0 = -v - t*v - 12 for v. -3 Let m(o) = -o**2 + 2*o - 1. Let q = -1 - -2. Let p be m(q). Suppose 3*t = t + 18. Solve 3*k - t = -p*k for k. 3 Let j = 38 + -16. Suppose 2*m - 4*w + w - 15 = 0, -2*m + j = 4*w. Solve -2*o - o = m for o. -3 Let o(j) = 2*j - 7. Let a(v) = v - 6. Let h be a(0). Let r = 12 + h. Let g be o(r). Solve g*s - 11 + 1 = 0 for s. 2 Let a = -146 - -150. Solve -a*l + 1 = 9 for l. -2 Let b = 27 + -7. Let u(p) = p**2 - p. Let q be u(2). Suppose -3 - 1 = -q*s. Solve -s*r - b = 3*r for r. -4 Let r(s) = s**2 - 8*s + 7. Let w be (-8)/(-1) - (1 - 0). Let x be r(w). Solve x = 3*y + 2 + 1 for y. -1 Let z be 1 - 1*(2 - 4). Solve z*t = 4*t for t. 0 Let d(x) = x**3 - 12*x**2 - 12*x + 5. Let i be d(13). Let p be (4/3)/(12/i). Solve -l + p*l = 2 for l. 2 Let t = -12 + 5. Let i = t + 1. Let c be 3*-1*8/i. Solve -m + c = m for m. 2 Let l = 8 - 2. Let h be (l/(-5))/((-12)/40). Solve h + 6 = 5*y for y. 2 Let u be 0/(3/(-1) + 2). Suppose -2 = -h + 3*a, u = -2*h - 3*a + 2 + 2. Solve 4*q + 10 = -h for q. -3 Let j be ((-24)/(-10))/((-18)/120). Let n be (j + 17)*0/(-2). Solve n*m = 2*m - 4 for m. 2 Let m be (20/6)/((-16)/(-24)). Solve 0 = m*k - 7*k for k. 0 Let y = -2 - -2. Let l = 19 - 18. Let q be l/((-1)/(-4)) + -2. Solve y*x = -2*x + q for x. 1 Suppose -16 = -6*k + 2*k. Suppose k*c - 5 = 7. Solve 3 = c*w - 3 for w. 2 Suppose -5*m + 19 + 6 = 0. Solve m*o + 31 = 6 for o. -5 Suppose 0 = -0*f - 6*f. Solve -2*q = -f*q - 6 for q. 3 Let z(f) be the second derivative of f**5/20 + f**4/4 - 5*f**3/6 - 3*f**2/2 - f. Let t = -6 - -2. Let w be z(t). Solve -w = -3*q - 10 for q. -3 Let q be 8/12 - 2/3. Solve q*f + 25 = -5*f for f. -5 Let t(a) be the second derivative of -a**3/6 + 7*a**2 - 3*a. Let m be t(11). Solve m*h + 3 = -3 for h. -2 Let t = -3 + 1. Let u = 0 - t. Let f = 0 - -2. Solve -u = f*l - l for l. -2 Let b(y) = -y**2 + 7*y + 4. Let f be b(7). Suppose -5*x - 3*a = -0 + 3, x + 5*a = -5. Solve -q - q - f = x for q. -2 Let c(b) = -b**3 + 7*b**2 - 4*b - 3. Let s be c(6). Suppose -7*w = -s*w. Solve p = -w*p for p. 0 Let a(h) = 13*h - 1. Let n be a(1). Let f(o) = o + 4. Let w be f(3). Suppose w*q = 11*q. Solve 3*b = -q*b - n for b. -4 Let m(p) = p - 2. Let b be m(-2). Let i be (-3 - -6)/((-3)/b). Solve -i = -g - 5 for g. -1 Suppose -15 = -3*w - 2*w. Solve -w*f - 2 + 11 = 0 for f. 3 Let d = -4 - -11. Let w be 30/d + (-10)/35. Solve -g - w = g for g. -2 Suppose 7*n - 3*n - 28 = 0. Suppose -2*d - 5 = -n*d. Suppose d = -z + 8. Solve -z*c + 8 = -3*c for c. 2 Let y(z) = z**3 + 6*z**2 - z - 8. Suppose 2*s + 30 = -3*s. Let u be y(s). Let x be (u/3)/((-1)/6). Solve 0 = v + x*v for v. 0 Suppose 5*l = 5*o + 2 + 13, -o - 11 = -3*l. Solve 0*v = v + o for v. -1 Let y(v) = -2*v**2 + v - 1. Let a be y(-2). Let z(n) = -n**3 - 11*n**2 + n + 16. Let k be z(a). Solve k*f + 5 + 20 = 0 for f. -5 Let v be ((-1)/3)/((-4)/(-12)). Suppose 5*u + 24 + 16 = 3*j, 4*j + 5*u = -5. Let z = v + j. Solve -z*s + 12 = -s for s. 4 Let f be 5/(75/(-9))*-5. Let o = f - 2. Suppose 2 + o = 3*h. Solve n = h + 1 for n. 2 Let h(k) = -k + 4. Let b be h(4). Suppose 3*s - 1 - 8 = b. Solve s*p - p - 2 = 0 for p. 1 Suppose 4*o + o - 30 = 0. Suppose -6 = -3*f - 2*l + 3*l, 3*f + l = o. Suppose -f*z + 15 = 7. Solve s = -z*s + 15 for s. 3 Let d = -7 + 11. Suppose -d*a - 3*n = a - 94, 2*n + 4 = 0. Solve 4*v + a = -0*v for v. -5 Let l be 1/2*0 + 2. Let a = l - 0. Suppose -b = a - 8. Solve -3*z - b = -5*z for z. 3 Suppose 11 = f + 3. Solve -m - f = m for m. -4 Suppose 24 = 2*j + 16. Solve y - 3 = -j for y. -1 Let i(d) = d**3 + 6*d**2 - d - 6. Let c be i(-6). Let z be (2 + -1)/1*c. Solve -6*f + f + 15 = z for f. 3 Let p = -6 - -10. Solve 26 = -p*f + 6 for f. -5 Suppose -3*z = -z + 12. Let l = z + 9. Solve 0*a = l*a + 15 for a. -5 Let t be -4*(9/2)/(-3). Let j(z) = 3*z - 13. Let k be j(t). Solve -6*c = -c - k for c. 1 Let k(a) = -a**2 - 5*a + 2. Let u be k(-6). Let y(c) = -c - 4. Let b be y(u). Let q be b/(2/1 - 3). Solve o = -q*o - 1 for o. -1 Let t(v) = -4*v**3 + 8*v**2 - 8*v + 1. Let n(f) = -7*f**3 + 15*f**2 - 15*f + 3. Let k(h) = -3*n(h) + 5*t(h). Let q be k(4). Solve -16 = -q*c - 4*c for c. 4 Let w be (-140)/16 - 1/4. Let x = 11 + w. Let i be x/6 - (-5)/3. Solve 3 = -z + i for z. -1 Let k = 1 - -3. Suppose 0 = -2*i + 5*p, 2*i - k*p = -p. Solve 4*h + 3 + 5 = i for h. -2 Suppose 4*i + 8 = 0, 4*h = -i + 2*i + 10. Suppose t = -3*c + 4, -h*t - 26 = -5*t - 2*c. Let x(b) = b**2 - 4*b - 56. Let n be x(-6). Solve -z = n*z + t for z. -2
Sort -4/3, -5, -0.1, 7, 0.5. -5, -4/3, -0.1, 0.5, 7 Put -0.1, -41, 3/11 in ascending order. -41, -0.1, 3/11 Sort -15, 3, 38, -5, -2 in decreasing order. 38, 3, -2, -5, -15 Sort 6, -2, 7, 2, -3 in ascending order. -3, -2, 2, 6, 7 Put -0.01, -0.1, 82, -3 in ascending order. -3, -0.1, -0.01, 82 Sort 5, -2, -3, 3. -3, -2, 3, 5 Put 12, 1, -5, -9, 0 in increasing order. -9, -5, 0, 1, 12 Put 2/5, 5, 4, -6, -0.4 in descending order. 5, 4, 2/5, -0.4, -6 Put -1, 402, -5, -3/4 in descending order. 402, -3/4, -1, -5 Sort 5, 0.2, -3/2, -0.2 in decreasing order. 5, 0.2, -0.2, -3/2 Put -0.4, 0.4, -2, 14 in increasing order. -2, -0.4, 0.4, 14 Sort -5, -73, 5 in ascending order. -73, -5, 5 Put -2/5, 43, -5, -12 in ascending order. -12, -5, -2/5, 43 Sort 7, 9, 1, -2, -5 in decreasing order. 9, 7, 1, -2, -5 Put -0.2, 0.2, -5, -0.1 in decreasing order. 0.2, -0.1, -0.2, -5 Sort -5, 3/2, -1/3, -0.003, 5 in decreasing order. 5, 3/2, -0.003, -1/3, -5 Sort 1, -184, -3. -184, -3, 1 Sort -2/3, 0.28, -1/3, 0.5, -17/3 in decreasing order. 0.5, 0.28, -1/3, -2/3, -17/3 Put -0.2, 1/9, -1, 369 in increasing order. -1, -0.2, 1/9, 369 Put -1, 3, 55, -4, 5 in ascending order. -4, -1, 3, 5, 55 Put -5, 6, 1, 0.01 in decreasing order. 6, 1, 0.01, -5 Put 2, 194, 1/3 in ascending order. 1/3, 2, 194 Put 35, 1, -8 in ascending order. -8, 1, 35 Sort -22, 3, 0, -24 in descending order. 3, 0, -22, -24 Put -2, -17, 0 in decreasing order. 0, -2, -17 Sort -4, 26, 3. -4, 3, 26 Sort 11, -3, -4 in descending order. 11, -3, -4 Sort 4, 0, 3/16. 0, 3/16, 4 Sort -63, -2, 33 in descending order. 33, -2, -63 Put 9, -1/4, 7 in descending order. 9, 7, -1/4 Sort 4, 6, -4, 2 in decreasing order. 6, 4, 2, -4 Put 2, -28, 3 in increasing order. -28, 2, 3 Put -2, 1/375, 2/13 in ascending order. -2, 1/375, 2/13 Sort -15, 10, -4 in decreasing order. 10, -4, -15 Sort -0.2, -0.5, -4, -3, 2 in increasing order. -4, -3, -0.5, -0.2, 2 Put 7, 1, -6, 3, -2 in increasing order. -6, -2, 1, 3, 7 Sort -4, -2, -3. -4, -3, -2 Sort 23, 3, -1, -2. -2, -1, 3, 23 Put 4, -0.4, 0.6, 2/3 in ascending order. -0.4, 0.6, 2/3, 4 Sort -5, 2, -134 in descending order. 2, -5, -134 Put 35/12, -3, 2/5, -0.3 in decreasing order. 35/12, 2/5, -0.3, -3 Put 46, 9, 2 in decreasing order. 46, 9, 2 Sort -3, 0, 10, 2, -5 in ascending order. -5, -3, 0, 2, 10 Put 4, -5, 186 in ascending order. -5, 4, 186 Put -1/5, 5/4, -618, -1/8 in ascending order. -618, -1/5, -1/8, 5/4 Sort -4, -1/4, -11.8. -11.8, -4, -1/4 Sort 1, 82, 10 in decreasing order. 82, 10, 1 Put 2, -9, 11 in ascending order. -9, 2, 11 Sort -5, -3, 200, 0 in ascending order. -5, -3, 0, 200 Sort 0, -326, -5 in decreasing order. 0, -5, -326 Sort 3, -5, 2, 5. -5, 2, 3, 5 Put 1/32, 4, 2/17 in decreasing order. 4, 2/17, 1/32 Sort -2/3, -5, -1/3, -12, -4. -12, -5, -4, -2/3, -1/3 Put -42, 5, -3, -4 in decreasing order. 5, -3, -4, -42 Sort -2, 3, 6/11, 3/2 in decreasing order. 3, 3/2, 6/11, -2 Put 5, 3, 4, 13 in increasing order. 3, 4, 5, 13 Put -2, 5, -1, 35 in descending order. 35, 5, -1, -2 Sort -0.5, -3, -1/4, -3/5 in increasing order. -3, -3/5, -0.5, -1/4 Sort -8, 1, 23 in ascending order. -8, 1, 23 Sort -0.3, -2/5, -10.3 in descending order. -0.3, -2/5, -10.3 Sort 3, -28, -0.11. -28, -0.11, 3 Put 119, 4, 5, 1/4 in descending order. 119, 5, 4, 1/4 Put -7, -61, -4, 1 in increasing order. -61, -7, -4, 1 Put -2/3, 6, -3 in ascending order. -3, -2/3, 6 Put -2, 2, -38 in decreasing order. 2, -2, -38 Sort -70, -3, 6. -70, -3, 6 Put -354, 2, -3 in decreasing order. 2, -3, -354 Sort -3, 3, -5, 56 in decreasing order. 56, 3, -3, -5 Put -5/3, 4, 1/3, 5 in descending order. 5, 4, 1/3, -5/3 Sort 2, 1242, 1 in descending order. 1242, 2, 1 Sort -60, -7, 4 in decreasing order. 4, -7, -60 Sort -1, 1, -3, 5, -133. -133, -3, -1, 1, 5 Sort -4, 0, -5, 98 in increasing order. -5, -4, 0, 98 Sort 6, 11, -2, 3 in decreasing order. 11, 6, 3, -2 Sort 3, 4, -474 in descending order. 4, 3, -474 Put -0.1, -1, 2, 9 in descending order. 9, 2, -0.1, -1 Put -0.6, 0, 1 in decreasing order. 1, 0, -0.6 Put 6, 2, -0.4, -0.337 in ascending order. -0.4, -0.337, 2, 6 Sort -4, -606, 1, 2. -606, -4, 1, 2 Sort -4, -5, 10 in increasing order. -5, -4, 10 Put -3, 0, -68.08 in increasing order. -68.08, -3, 0 Put -6, -143, -2 in decreasing order. -2, -6, -143 Sort -194, 2, -1, -4 in decreasing order. 2, -1, -4, -194 Sort 3, -78, 5, 1 in descending order. 5, 3, 1, -78 Sort -4, 3, -3963 in decreasing order. 3, -4, -3963 Sort 2, 3, -56, -1. -56, -1, 2, 3 Put -687, 2, -3 in decreasing order. 2, -3, -687 Sort -23, 3, -2, 2 in decreasing order. 3, 2, -2, -23 Put 0.5, 0, -21 in descending order. 0.5, 0, -21 Sort -11, -3, -6, -4 in descending order. -3, -4, -6, -11 Put 1, 2, 26 in descending order. 26, 2, 1 Sort -6/11, -3, 1/7, -0.12, 0.3 in decreasing order. 0.3, 1/7, -0.12, -6/11, -3 Sort -0.4, -1/12, 1/6. -0.4, -1/12, 1/6 Put -41, -0.4, -4 in decreasing order. -0.4, -4, -41 Put -4, -0.1, -6.13 in descending order. -0.1, -4, -6.13 Put -2/5, 1, 5, -5 in increasing order. -5, -2/5, 1, 5 Put -0.01, -5/4, -5, -1.3 in increasing order. -5, -1.3, -5/4, -0.01 Sort 1/6, 2, 8/9, 1/18, 0 in ascending order. 0, 1/18, 1/6, 8/9, 2 Sort 709, -3, -2, 3 in ascending order. -3, -2, 3, 709 Put 3, 0, -1/5, 0.2, 2/29 in increasing order. -1/5, 0, 2/29, 0.2, 3 Put -6, 2, -4 in descending order. 2, -4, -6 Sort -1633, 2, 3 in descending order. 3, 2, -1633 Put -0.2, -0.04, -1.07 in increasing order. -1.07, -0.2, -0.04 Put 29, -5, 1, -45 in decreasing order. 29, 1, -5, -45 Sort -0.06, -0.2, 0.2, -4 in ascending order. -4, -0.2, -0.06, 0.2 Put -2, -7, -107 in descending order. -2, -7, -107 Sort 1, 2, 0, 10, 2/5 in descending order. 10, 2, 1, 2/5, 0 Put -0.1, -64, -0.16 in ascending order. -64, -0.16, -0.1 Sort 11, 1/2, 3, 2/5 in increasing order. 2/5, 1/2, 3, 11 Put 5, -4, -5, -2 in descending order. 5, -2, -4, -5 Sort 4, 0, -1, -3, 7 in descending order. 7, 4, 0, -1, -3 Sort 17, 5, -2. -2, 5, 17 Sort 17, -5, 1, 8. -5, 1, 8, 17 Sort -387, 4, -5 in decreasing order. 4, -5, -387 Sort 0, 7, 4, -1. -1, 0, 4, 7 Put -2, 1976, -3 in descending order. 1976, -2, -3 Put 1, 3, -5, 4, 281 in increasing order. -5, 1, 3, 4, 281 Put 1, -10, 13, -5 in increasing order. -10, -5, 1, 13 Sort -2, -3, -1, 59 in ascending order. -3, -2, -1, 59 Sort -1220, 0.3, -3 in decreasing order. 0.3, -3, -1220 Sort -11, 4, -79 in descending order. 4, -11, -79 Sort -5, 2, 7 in increasing order. -5, 2, 7 Sort 6, 4, 8 in decreasing order. 8, 6, 4 Sort -13, 0.5, -14, 4 in increasing order. -14, -13, 0.5, 4 Sort 1, 119, -2, -10 in decreasing order. 119, 1, -2, -10 Sort -4, 0, 4, 0.1, -33 in decreasing order. 4, 0.1, 0, -4, -33 Put 5, -29, -100 in decreasing order. 5, -29, -100 Sort 3, -2/5, -3, -2/23. -3, -2/5, -2/23, 3 Put -7, 18, 2/3 in increasing order. -7, 2/3, 18 Put -26, 0.1, 0.2, 1/7 in decreasing order. 0.2, 1/7, 0.1, -26 Sort 12, -2, 2, -1 in decreasing order. 12, 2, -1, -2 Put -9, 5, -2, -27 in increasing order. -27, -9, -2, 5 Sort -91, 9, 0.2. -91, 0.2, 9 Sort 5, -2, -1, -9, 4. -9, -2, -1, 4, 5 Sort 0.3, 1, 49, 0.4, -4 in increasing order. -4, 0.3, 0.4, 1, 49 Sort 2/7, 5, 0.261, -2/9 in ascending order. -2/9, 0.261, 2/7, 5 Put -3/5, 1, -0.4, 7, 5 in descending order. 7, 5, 1, -0.4, -3/5 Put -0.4, 1/9, 1/4, -4/3, 5 in decreasing order. 5, 1/4, 1/9, -0.4, -4/3 Put -2/69, 2.9, -2/9 in decreasing order. 2.9, -2/69, -2/9 Put -5, 3, -4, 4, -13 in increasing order. -13, -5, -4, 3, 4 Sort -5/36, -4, 4/9, 0.4 in increasing order. -4, -5/36, 0.4, 4/9 Put 3/2, 36, 5, 0.1, -2/15 in decreasing order. 36, 5, 3/2, 0.1, -2/15 Sort -4, 0.1, -0.031, 4/7 in decreasing order. 4/7, 0.1, -0.031, -4 Sort -85/6, 1/4, 0, 2/11. -85/6, 0, 2/11, 1/4 Put -5, 5, 14.1 in ascending order. -5, 5, 14.1 Put 0, -0.09, -1/2 in decreasing order. 0, -0.09, -1/2 Sort 0.2, -11, -0.5, -0.2. -11, -0.5, -0.2, 0.2 Put 0.4, -0.1, 0.14, -2 in ascending order. -2, -0.1, 0.14, 0.4 Sort 0, 13, -10 in decreasing order. 13, 0, -10 Sort -2, -3, 0.23, 10 in descending order. 10, 0.23, -2, -3 Put -5, 2, -14 in ascending order. -14, -5, 2 Sort 863, 1, 3. 1, 3, 863 Sort 4, 127, -3. -3, 4, 127 Sort 0.2, 2/11, 335. 2/11, 0.2, 335 Sort 0, 3, -5, 2, -35 in decreasing order. 3, 2, 0, -5, -35 Sort 128, 2, 3 in decreasing order. 128, 3, 2 Sort 1, -1, -11, -4, -5 in descending order. 1, -1, -4, -5, -11 Sort -4, -2, 4, 3 in ascending order. -4, -2, 3, 4 Put 0, -4, -1, -2 in decreasing order. 0, -1, -2, -4 Sort 0, -2/15, 1.1 in decreasing order. 1.1, 0, -2/15 Sort -2, 10, 0, 15. -2, 0, 10, 15 Put 2, -1/5, -2/3, 3/940, 3 in descending order. 3, 2, 3/940, -1/5, -2/3 Sort 18, 1, -0.009, 2 in ascending order. -0.009, 1, 2, 18
Let g = -2.2 - 17.8. Let u = 20.09 + g. Let k = u + 0.11. Put -2/9, k, -1/5 in descending order. k, -1/5, -2/9 Let n = -0.1 - 0. Let y = -145.2 - -145.3. Put n, y, -1/4 in descending order. y, n, -1/4 Suppose 3*b + 6*b + 1107 = 0. Let q = b - -247/2. Sort -6, q, 3, -5 in increasing order. -6, -5, q, 3 Let s = 159233 + -1590787/10. Let o = -155 + s. Sort o, 2, -2 in decreasing order. 2, o, -2 Let o(n) = n - 9. Let g be 44/(-33)*(-1 + -5). Let s be o(g). Sort -3, 2, s in decreasing order. 2, s, -3 Let d(o) = -o**3 + 14*o**2 - 33*o - 21. Let j be d(11). Put j, -5, -4, 4 in descending order. 4, -4, -5, j Let h be (-735)/(-20) - (-4)/16. Let o = h - 37. Put -6, o, -1 in increasing order. -6, -1, o Let p be 3 + 0/(2 - 3). Let l = 257 - 252. Put -4, l, p, 2 in descending order. l, p, 2, -4 Let m = -705.1 - -705. Put -2, -0.2, m, 5 in decreasing order. 5, m, -0.2, -2 Suppose 5 + 3 = 2*c. Suppose -2*i + 5*f - 1 = 0, c*i - 2*f + 4 = 2*i. Suppose -5*k + 2*k - 33 = 4*o, 50 = -5*o + 5*k. Put -4, o, i in descending order. i, -4, o Suppose 3*a + 4*z = -4 - 7, -21 = -2*a + 3*z. Put 50, a, -3 in decreasing order. 50, a, -3 Let g be ((-6)/(-9))/((-4)/6). Let j = -38.3 + 40. Let q = 2 - j. Put g, 5, q in descending order. 5, q, g Suppose 2*d = -7*d - 9. Put -4, -9, d, -3 in decreasing order. d, -3, -4, -9 Suppose 3*r = -2*x - x - 9, 3*x + 8 = -4*r. Let q = -42 - -37. Sort -1, 4, x, q in ascending order. q, x, -1, 4 Let f be ((-2)/(-6))/((-1)/(-3)). Let o(c) = -14*c - 31. Let b be o(-2). Put 5, b, f in decreasing order. 5, f, b Suppose 12*w + 35*w = -235. Sort w, -20, 2, 3. -20, w, 2, 3 Let t = 172 + -169. Put 4/7, -2, t in decreasing order. t, 4/7, -2 Let v(u) = u**3 + 13*u**2 - 15*u - 15. Suppose -25 = 5*t + 45. Let r be v(t). Sort r, 5, -11 in decreasing order. 5, r, -11 Let q(v) = 9*v - 31. Let g be q(2). Put 0, g, -7, -3 in decreasing order. 0, -3, -7, g Let h = -4594 - -4599. Let z = -27 - -54. Sort z, h, -5 in increasing order. -5, h, z Let o = -167 + 238. Let j = -71.1 + o. Put j, 1/6, 4/7, -1 in descending order. 4/7, 1/6, j, -1 Let x be (4 + 0)*9/(-12). Let j be (-72 + 71)/(1 - 0). Sort x, -5, j, 0. -5, x, j, 0 Let c = 0.1 - -0.2. Let n = c + -0.6. Let k be (1015/56)/5 - 4. Sort -1/5, n, k in decreasing order. -1/5, n, k Let s be (-2)/(-4)*-1*8/18. Sort -1, -9/5, s, -4. -4, -9/5, -1, s Let n = -23 + 28. Sort -0.1, -0.2, 39, n in decreasing order. 39, n, -0.1, -0.2 Suppose 5*p - 4*o = -16, -p + o - 3 = -0*o. Let w be (1/3)/(3/(-18)). Sort -1, p, 5, w in decreasing order. 5, -1, w, p Let d = 0.273 + -3.293. Let g = -0.02 - d. Sort -0.2, 2/7, 4, g in descending order. 4, g, 2/7, -0.2 Suppose 5*l - 4*l = -1. Let z(t) = -t**2 + 4*t - 2. Let r be z(3). Let m = 4 - -1. Sort r, m, l in decreasing order. m, r, l Let h = 799/48 + 50615/336. Let u = -167 + h. Let p(a) = 4*a + 10. Let n be p(-3). Sort n, -4, u in ascending order. -4, n, u Let g = 0.01 + 4.99. Suppose -4*a = 8, 0 = -5*q - 3*a + 2 + 12. Let x = -4/21 - 5/21. Put x, q, g in descending order. g, q, x Let w = -1.05 + 1.15. Let d = -0.44 + 0.24. Sort w, 3, 1, d in descending order. 3, 1, w, d Let x be (1 - 1)/1*-1. Let h = 0 + 3. Suppose 3*l + 104 - 101 = 0. Sort x, l, h. l, x, h Let m = -0.2 + -0.3. Let w = -33.9 + 32. Let d = w - -2.3. Sort m, 0.03, d. m, 0.03, d Suppose t - 3*k = 2*k + 7, -3*t = k - 5. Suppose o - t*c = -4*c - 10, -17 = 2*o + 3*c. Let j be (-18)/(-81) + 84/(-81)*-21. Sort o, -5, j in decreasing order. j, o, -5 Let h = -23.38 + 0.38. Let p = h - -23. Sort -0.1, p, -0.2 in ascending order. -0.2, -0.1, p Let w be 12 + -1*(-1300)/(-110). Sort 7/2, w, -3/7, -17 in decreasing order. 7/2, w, -3/7, -17 Let r be ((-9)/5 + 1)/(6/30). Sort -4/3, r, -1, -2/17 in decreasing order. -2/17, -1, -4/3, r Let o = -29021164/109577 - -9/8429. Let w = 265 + o. Sort w, 18, 0.5 in descending order. 18, 0.5, w Let m = -12 - -11.98. Let h = 0.08 + m. Let u = h + -0.36. Sort -4/3, u, 0.5. -4/3, u, 0.5 Suppose -3*s = -9*s. Let h be 1/3 - 15/(-9). Put h, 19, -2, s in decreasing order. 19, h, s, -2 Suppose 0 = -3*w + 4*m + 94, 0*w + 3*m + 63 = 2*w. Let z = 27 - w. Sort 2, z, -2 in decreasing order. 2, -2, z Let q(z) = -z - 10. Let f(a) = a - 8. Let y be f(0). Let p be q(y). Put 4, p, 0.4 in increasing order. p, 0.4, 4 Suppose 14*z = 41 - 27. Let d be (-2)/5 - 18/5. Let m be 2/(-6)*d/6. Put m, -0.3, z in ascending order. -0.3, m, z Let d = 0.13 - -8.27. Let a = d - 8.9. Put a, 2/15, -1, 0 in increasing order. -1, a, 0, 2/15 Let g = 4 + 0. Let j(d) = d**2 - 4*d - 2. Let x be j(g). Let m = -21 + 24. Sort 5, m, x in increasing order. x, m, 5 Let u = 28.6 - 29. Let p = 32 - 13. Suppose 0 = 4*k - k + 5*x - p, 33 = -4*k + 5*x. Put 1/6, k, u in increasing order. k, u, 1/6 Let l = 407/9 - 45. Let q be (-511)/(-42) - 120/10. Sort q, 3, l in ascending order. q, l, 3 Let j be (4/30)/(1/10). Let h = -2968 - -2972. Sort 11, j, h. j, h, 11 Let c be 2/(0 + (-2)/3). Let r(u) = -2*u**2 - 15*u - 7. Let g be r(-7). Suppose -6*b + 3*b - 15 = g. Put b, c, -2 in increasing order. b, c, -2 Suppose 48 = -11*q + 15*q. Let b = -13 + q. Sort b, 2, -3 in ascending order. -3, b, 2 Let l be 30/9*-10*207/42. Let z = l - -164. Sort -4, 3, z in decreasing order. 3, z, -4 Let p = 298 - 301. Sort -2.7, p, 1, -9. -9, p, -2.7, 1 Suppose -25 = x - 6*x. Let a(t) = t + 5. Let k be a(-6). Let o = k + 3. Sort x, 3, o in descending order. x, 3, o Let t be -4 - (-7 + 2) - (3 - -1). Sort 0, -9, t, -4 in increasing order. -9, -4, t, 0 Let b = 4.5 - 4. Let x = -606.2 - -606. Sort x, -0.5, -0.06, b in decreasing order. b, -0.06, x, -0.5 Let p = -6 - -2. Let m = 0 - -0.1. Let b = -1.1 + m. Sort b, 0.5, p. p, b, 0.5 Suppose 0*a = 6*a. Suppose 5*p + 45 = 5*j, 3*p - 3*j = 5*p - 7. Put 1, -1, p, a in descending order. 1, a, -1, p Let w(t) = -t**2 - 12*t + 41. Let x be w(-15). Let z = 20 - 12. Let i be x/(-6) - z/21. Put i, -0.2, 1 in descending order. 1, i, -0.2 Suppose 4*c + 95 = 5*w, w - 3*c = -0*c + 19. Let a be (345 - 358) + 17 + -1. Sort 2, w, a in decreasing order. w, a, 2 Let w = 14.34 + -18.3. Let q = 0.04 - w. Put q, -21, 3 in increasing order. -21, 3, q Suppose -5*q + 4*q - o - 7 = 0, -3*q = 2*o + 18. Put q, -23, 4, -3 in decreasing order. 4, -3, q, -23 Let z = 22.71 - 17.71. Sort -53, 2, z, -3 in decreasing order. z, 2, -3, -53 Let k = -286 - -289. Sort k, 0, 1 in descending order. k, 1, 0 Let q = 0.14 + -5.14. Let g(y) = y**3 + 6*y**2 + 6*y + 2. Let h be g(-4). Let b be 1 + (18/h)/(-3). Sort 3, q, b in descending order. 3, b, q Let z be (5/(-9))/(170/(-102))*0. Suppose o = 3*q + 12, q + o = 5*o - 15. Put -4, z, q in ascending order. -4, q, z Let j = -1.936 - -91.836. Let z = j + -90. Sort -1/5, z, -1/6, 4/3 in increasing order. -1/5, -1/6, z, 4/3 Let k(l) = -3*l**2 + 5*l - 2. Let x(r) = -7*r**2 + 9*r - 4. Let c(b) = 5*k(b) - 2*x(b). Let p be c(6). Suppose n - 5 = -p. Put 4, -4, n in increasing order. -4, n, 4 Let u = -808 - -887. Sort 3, u, -2, -5 in descending order. u, 3, -2, -5 Suppose g + 4*g - 70 = 5*k, 2*g + k - 25 = 0. Let u = 27.6 + -28. Put g, -4, u in ascending order. -4, u, g Let b = 5.04 + 0.36. Let i = 5 - b. Put 2, -1, i, -0.9 in descending order. 2, i, -0.9, -1 Let h(v) = v**2 - 4*v - 10. Let y be h(6). Suppose 5*x - x = -52. Suppose -6*t = -13 - 5. Put y, t, x in descending order. t, y, x Suppose -5*o + 116 = -9. Suppose 0 = -4*b - o + 5. Let p(r) = r**3 + 4*r**2 - 5*r + 6. Let d be p(b). Put d, -4, -2 in increasing order. -4, -2, d Let o = -1.3 - -0.29. Let i = o + 0.81. Let r = 0.3 + -5.3. Sort r, i, 3 in ascending order. r, i, 3 Let d be (-110)/(-715)*(2 + -1). Put 8, -4, -2, d in decreasing order. 8, d, -2, -4 Let s = 4/17 + 1/68. Let w = 228.5 + -228. Put 0.02, -2/21, s, w in descending order. w, s, 0.02, -2/21 Let g be (-1)/3*-3 - 6. Let u = -71 - -74. Put 2, u, g in decreasing order. u, 2, g Let r = -231 - -165. Let b = r - -71. Suppose -5*w = 2*o + 2*o - 3, -4*o + 4*w = -12. Put b, o, 0 in descending order. b, o, 0 Let d = -971 - -4853/5. Put d, -0.03, 1/2 in descending order. 1/2, -0.03, d Suppose 4*u = -5*z + 25, 3*u = -3*z + 7 + 5. Suppose -5*q + z*q + 240 = 0. Let d be -3*(-8)/q*-10. Sort -4, -3, d. -4, -3, d Let s = 100 - 104. Let c = 17 - 35. Let y be 4/c + 83/9. Sort 1, y, s. s, 1, y Let f(v) = 2*v + 7 + 3*v**2 - 3*v + 0*v**3 - 7*v**2 - v**3. Let w be f(-3). Let z be w + (-2)/2 + 5. Sort 1, -5, z in decreasing order. z, 1, -5 Let x = 8.2 + -1.2. Let u = -80.1 + 87. Let z = x - u. Put 2/13, -0.2, z in decreasing order. 2/13, z, -0.2
Let l = 0.005 - 5.005. Let i = 2.9249 + 0.0751. What is the third smallest value in i, l, -0.28? i Let z = 71 - 74. Which is the smallest value? (a) -0.1 (b) 1319/2 (c) z c Let l = 22 - 152/7. Let y = -5/17 - 2/51. Which is the second smallest value? (a) y (b) l (c) 0.06 c Let t = -9023 - -9021.8. Which is the biggest value? (a) 2/9 (b) t (c) 12 (d) 2/5 c Let m(s) = -6*s - 149. Let j be m(-24). Let q(p) = -p**3 - 5*p**2 - 3*p - 15. Let y be q(j). Which is the third biggest value? (a) 21 (b) -3/5 (c) y b Let q be (45/18 - 3)/(1/(-52)). Let l = q - 77/3. What is the third biggest value in -3, -2/3, l? -3 Let b = -22 + 243/11. Let z = 93 + -97. Let a be 2/z*12/(-75)*10. What is the third biggest value in b, a, 1/6? b Let n = -2.32 + 2.507. Let a = n + -3.187. Let f = -0.01 - 0.19. What is the third smallest value in -0.1, f, a? -0.1 Let g = 37 + -395. Let i = 1075/3 + g. Which is the third biggest value? (a) i (b) 0.35 (c) 0.5 a Let o = -0.28173 - -0.29173. Let x = 3.8 - 0.8. Which is the smallest value? (a) o (b) -0.1 (c) x b Let w(u) = -u**2 + 8*u + 28. Let c be w(11). Suppose -2*n + 9 = 4*v - 13, 4*n + 3*v - 24 = 0. What is the third smallest value in c, n, -0.08? n Suppose -3*p - 33 = -42. Suppose 0*f - g - p = -2*f, 2*f + 1 = -3*g. Which is the third smallest value? (a) 3/5 (b) f (c) -1 (d) -4 a Let r be 7 + (-7 - 75/(-10))*-18. Which is the second smallest value? (a) -3 (b) r (c) 33 b Suppose 3*p + 4*n - 13 = 0, 10*p - 14*p = -n - 30. Let r = -135/19 + p. Let h = 0.3 + 0.2. Which is the smallest value? (a) h (b) r (c) 0.2 (d) -1 d Let x = 0.47 - 31.47. Let n = -38 + 66. Let d = n + x. What is the smallest value in -0.1, 2, d, -0.2? d Let h = -16.6 - -11.6. Let q = 0.15 - -1.25. Let l = q - 2.4. What is the second smallest value in -1/9, l, 2, h? l Let d = -328 - -253. Let p be -4 + d/(-13)*(-14)/(-21). What is the third biggest value in 0.3, p, 20? p Let u be 3/((-6)/3 - -3). Suppose -u*g = -g + 4. Let k = 4.9819 - -0.0181. What is the smallest value in 3/7, k, g? g Let i = 1240.8 - 1243.8. Let x be (-1)/1 - (-10)/14. Which is the second smallest value? (a) x (b) i (c) 15.5 a Let d = 2626 - 2628. Which is the biggest value? (a) d (b) 6/11 (c) -16 b Let l = 8422.9 - 8423. Let i be (-3)/((-1 + -2)/3). Suppose t - i*u = -5*u + 1, 2*u = 0. Which is the third biggest value? (a) l (b) 0.02 (c) -4 (d) t a Let p = -45.175 - -45. Let h = p + -3.825. Which is the third biggest value? (a) 0.1 (b) h (c) -1 (d) -2 d Let l = 0.71 + -1.11. Let h = -16 + 16.2. Let f = -27 + 28. What is the third smallest value in h, l, f? f Let w = 13/3 - 41/9. Let l = 2.68 - -390.32. Let q = 397 - l. Which is the third smallest value? (a) w (b) 0.3 (c) -0.5 (d) q b Let t = 621/4 + -3109/20. Which is the second biggest value? (a) -0.1 (b) 16/35 (c) t (d) -2 (e) 2 b Let j = -226391/51 - -4439. Which is the third smallest value? (a) j (b) 0 (c) -2/5 b Let n = -299 - -299. Which is the fourth smallest value? (a) n (b) 1 (c) 2/99 (d) 2/9 b Let b = 1 + -1.05. Let n = b + -3.95. Let h = -29.248 - -27.248. What is the third smallest value in 5, -3, h, n? h Let g = -8.85931 - 0.14069. What is the second biggest value in 0, 2, -0.1, -4, g? 0 Let g = 6967570/120591 - 10/13399. Let n = 58 - g. Let k be -1 - -1 - (-3 - (-2 + 2)). Which is the third smallest value? (a) 0 (b) n (c) k c Let b = 43/44 + -8/11. Suppose 10*n = 2*n + 5*n + 12*n. What is the smallest value in -5, n, 2, b? -5 Let g = 0 - 0. Suppose 0 = 25*y - 35*y + 40. Let j be (y/(-20))/(56/(-160)). What is the fourth biggest value in -2, j, 1, g? -2 Suppose -r + 38 = -100*w + 104*w, 40 = 5*w + 5*r. Which is the second biggest value? (a) w (b) -104 (c) -0.1 c Let j = 1844 - 1849. Let u = 443 - 3983/9. Which is the fourth smallest value? (a) 2/21 (b) -4/9 (c) j (d) u d Let m(s) = 123*s - 4430. Let v be m(36). Let u = 6 - 15. Let i = u + 16. Which is the third smallest value? (a) 1 (b) i (c) v b Let n be 0 - ((-4)/(-9))/(-2). Let v = 0.0603523 + 0.3396477. What is the third biggest value in -3, n, v? -3 Let n = 215.7 + -217. Let o = n - -0.9. Which is the second biggest value? (a) o (b) -1 (c) -0.1 (d) 0.7 c Let x = -1798 + 1798.5. Let l = -0.023 + -0.377. Which is the smallest value? (a) 12 (b) l (c) 0.3 (d) x b Let z(y) = y**2 + 4*y - 29. Let g be z(-8). Let t = -1.63 - 1.37. What is the second biggest value in g, t, 0.5, 18? g Let j = 54.22 + -51.22. Which is the smallest value? (a) j (b) -1/5 (c) 1 (d) -2/67 b Let m = 11/162 + -119/162. What is the biggest value in -2, -14, -5, m? m Let o(i) = -i**3 + 11*i**2 + 13*i - 12. Suppose 222 = 7*a + 138. Let j be o(a). What is the second smallest value in j, -7, 0.02, -0.5? -0.5 Let h = -0.43906 + -0.06094. What is the smallest value in -24/19, -1/3, 1/4, h? -24/19 Let b = -61 + 260. Let k = -205 + b. What is the biggest value in -2/3, -2/5, k? -2/5 Let y = 2221 - 2220. What is the second biggest value in -6, 184, y? y Let m = -0.05877 - -477.85877. Let p = -61.8 + m. Which is the biggest value? (a) p (b) -2 (c) -1 a Suppose -4*r + 5*g = -16, 11*r = 9*r + 4*g + 8. Which is the fourth smallest value? (a) -5 (b) 1/3 (c) r (d) -11 c Let s = 4769/6 + -794. What is the smallest value in 4, s, 3, -47? -47 Suppose -220 = x - 205. Suppose -4*h - 4*k + 54 = -18, 0 = -2*k - 4. Let w = h + x. Which is the third smallest value? (a) w (b) -1 (c) -2/5 (d) 0 d Let x = -15499 + 15501. What is the fourth biggest value in x, -0.05, -1, -12? -12 Let n = -1570 + 1570.52. Let r = 0.25 + -0.97. Let v = r + n. What is the biggest value in -3/7, v, 4? 4 Let i be -1*1/8 - 35/280. Suppose v = 2*v - 2*m - 1, -4*v - 5*m = -17. Let z be (2/6)/(2/v). Which is the third biggest value? (a) i (b) z (c) -0.3 c Let y = 1/18 + -43/126. Let q = -142234.04 - -142234. Which is the smallest value? (a) y (b) -3/5 (c) 0.3 (d) q b Let f = 23259 + -46533/2. What is the fifth biggest value in f, 1/5, 0.3, 2/19, -8? -8 Let s = 17446 - 17448. What is the third smallest value in s, 0.3, 81? 81 Suppose x + 4*x - 4*j = 27, -2*j = 6. Suppose 7 = i + 3*u, -x*u - 1 = 5*i - 12. What is the second biggest value in -1, i, 9? i Suppose -72*g - 1805 = -2165. What is the fifth smallest value in 19, -0.3, 0, 1/6, g? 19 Let p be 8/6*-2*(-42)/784. Let h(v) = -2*v + 33. Let j be h(19). Which is the biggest value? (a) j (b) -0.7 (c) p c Let i = -699 + 701.84. Let j = 0.84 - i. Which is the second biggest value? (a) j (b) 1/2 (c) -1/3 (d) 18 b Let z = 17625 + -17624.91. What is the second biggest value in z, -3/5, 2/5? z Let p = 94 + -130. Let g = -44 - p. Let y = -129 + 642/5. Which is the fourth smallest value? (a) y (b) 1 (c) g (d) -2/9 b Let u be 134/201*3/(-43). What is the third smallest value in 0, u, 2/59, 2, 4? 2/59 Let o be (-9 - (-429)/52)*4. What is the second smallest value in -364, 0.3, o, -2/9, 7? o Let q = -225 - -229. What is the biggest value in -10/3, q, -3? q Let u = -154.39 - -158.39. What is the biggest value in -1/7, 10/7, 0.3, u, 0.2? u Let a = 4.9758 + 0.0642. Let n = a + -4.74. What is the third smallest value in 3, n, -3/4? 3 Let v = -1 + 0.7. Let o = 97 + -102. Let g = -0.064 - 0.936. Which is the second biggest value? (a) g (b) o (c) v a Let h = 47.31 + -46.91. Which is the biggest value? (a) -0.03 (b) -0.83 (c) h (d) 3 d Let y = 1529 + -1526. What is the second biggest value in 2, -7, y, -1? 2 Suppose -12*n = -669 - 171. Let t be 340/(-70) + 5 + 158/n. What is the biggest value in -3, -1, t, -5/3? t Let r = -0.2 + 1.2. Let z = 438084 + -438082.7. What is the smallest value in -9, z, -1/4, r? -9 Suppose 0 = -6*j - 12 - 18. Let y = -60.3 + 59.9. Let h = 77/5 + -15. What is the third smallest value in y, j, h? h Let x be 3/(-2) + 10*663/780. What is the biggest value in -5, x, -8/7? x Let r = 4242 + -21214/5. Let u(f) = -f**3 - 4*f**2 + 5*f + 1. Let q be u(-5). What is the second biggest value in -2, q, r? r Let s be (-3 + 2)/(20/(-820)). Suppose 3*i = 4*g + s, 0 = 2*g - 3 + 1. Which is the smallest value? (a) -2 (b) -0.6 (c) i a Let h = 13517.13 + -13517. Let t = -11 + 9. Let a = -2.5 - t. What is the fourth biggest value in -1/5, h, a, 5? a Let k = -19.01 + 19. Let d = -0.31 - k. Let o = 122.8 - 123. What is the second smallest value in 0.4, 0.1, o, d? o Let k = 541152/7865 - 8/1573. Let f = -69 + k. Let d = -0.1 - 4.9. What is the third biggest value in d, 0.3, -3, f? -3
Simplify 3*((-6*3*sqrt(84)*-2)/((sqrt(96)*2*1)/sqrt(8)))**2. 6804 Simplify 3 + 6*(sqrt(19) - (sqrt(19) + -2)**2)*1 + -1 - ((sqrt(19) + -1 + sqrt(684) + sqrt(1900) + -1)**2 + (sqrt(304)*-1 + sqrt(304))*-4). -5631 + 98*sqrt(19) Simplify (-5*(-1*-1*sqrt(72) - -6*(sqrt(72) + 0))*-2*6)**2*2. 25401600 Simplify ((-2*sqrt(153)/sqrt(3))/((sqrt(54)/sqrt(2))/sqrt(9)))**2*3 - ((sqrt(425)*3 + sqrt(833)*2)**2 + -4). -14089 Simplify (sqrt(64)/sqrt(4)*6 + sqrt(784)*-1)/((1*sqrt(384))/(1*sqrt(3)*-2)). sqrt(2)/2 Simplify (2*((sqrt(1274) + -3*sqrt(1274) + sqrt(1274) - sqrt(1274)) + sqrt(1274))*-6)/(-6*(sqrt(200) - sqrt(200)*-1) - sqrt(200) - 1*sqrt(200)*2). -14*sqrt(13)/25 Simplify (-2*sqrt(400)/(1*sqrt(8)))/(sqrt(50)/(sqrt(5) - (sqrt(245)*1 + sqrt(245) + sqrt(245)))) + -3 + 0. -3 + 40*sqrt(5) Simplify (sqrt(143) - 1*sqrt(143))/sqrt(11)*-5 + 2 + ((sqrt(325) - (sqrt(325) - 2*sqrt(325)*-2)) + -1*sqrt(325) + 1)**2. -50*sqrt(13) + 8128 Simplify (-3*((sqrt(76) + sqrt(76) + 0 - sqrt(76))*5 + sqrt(76) + -1*-2*sqrt(76) + 5 + 1*sqrt(76) + -2 + (sqrt(76) + -2)*-3))**2. 1944*sqrt(19) + 25353 Simplify ((sqrt(363)*-1 - -3*sqrt(432))**2 - (sqrt(96)*5)/(sqrt(2) - sqrt(20)/(sqrt(160) + sqrt(10) - sqrt(10)))) + -3. -80*sqrt(3)/3 + 1872 Simplify (2*(3*(1 + sqrt(567)) - (-1 + (0 + sqrt(567) - sqrt(567)))))**2 - (sqrt(42) - sqrt(462)/(-2*sqrt(11)))/((sqrt(96)/sqrt(4))/sqrt(4)). 1725*sqrt(7)/2 + 20476 Simplify 6*-5*(-1 + (sqrt(44)/sqrt(16) + -3 + sqrt(11)*-2 + 2 + -2*sqrt(176))**2 + 5). -59865/2 - 570*sqrt(11) Simplify (sqrt(133) + (sqrt(133) - 5*sqrt(133)*2 - sqrt(133)) + sqrt(133) - (sqrt(133)*2 + sqrt(133))*4)/(-3*sqrt(448)*1*-3). -5*sqrt(19)/18 Simplify (((sqrt(96)*1)/sqrt(12) + sqrt(96)/(sqrt(12)*-2))*3)/(-3*sqrt(32)/sqrt(2)*-4). sqrt(2)/16 Simplify -3 + -3*((sqrt(95) + sqrt(95) + -2*(-2*sqrt(95) + sqrt(95)))*6)/(-1*sqrt(80)*1). -3 + 18*sqrt(19) Simplify 1 + (sqrt(1331) + -3 + -1 + (4*(sqrt(1331) + 1))**2)*1 + 3. 363*sqrt(11) + 21312 Simplify (6*sqrt(2880)*-2*3)/(-5*sqrt(48)/sqrt(3)*3). 72*sqrt(5)/5 Simplify ((-4 + (sqrt(1088) + -1)*3 - (5 + 3*(sqrt(1088) + 0))) + 4 + 1)**2. 49 Simplify ((sqrt(132)/(sqrt(12)/sqrt(3))*-5*3)/(sqrt(44)*6 + sqrt(11) + (sqrt(176) - sqrt(176)*-3)))**2 + -3. -1848/841 Simplify ((sqrt(432) - sqrt(432)*2) + 5 + sqrt(432) + -1*sqrt(432)*-2 + 3 + (sqrt(432) + 5 + 1 + sqrt(432) + sqrt(432) - (-2*sqrt(432) + 2)) + 1)**2. 2184*sqrt(3) + 21337 Simplify -3*-2*sqrt(475) - (-1 + -1*sqrt(475))**2 - (-4 + (1*sqrt(1539)*4)**2). -25096 + 20*sqrt(19) Simplify (-4*(sqrt(6171)*-1 + sqrt(204) + (sqrt(204)*-1 - sqrt(204))))/(-3*(sqrt(3) + sqrt(27) + sqrt(3)) - (sqrt(192) + (sqrt(192) - sqrt(192)*2))). -52*sqrt(17)/15 Simplify -4 + -5*(4 + -3*-6*(-1 + sqrt(1539)) + (3*(-1 + sqrt(1539)) - ((0 + sqrt(1539))*1 - sqrt(1539))))**2. -3394944 + 32130*sqrt(19) Simplify 2 + (6*(-4*sqrt(468))**2 - sqrt(468) - (2*sqrt(468) + 3)**2) + 0. -78*sqrt(13) + 43049 Simplify -5*(4*((sqrt(68) - sqrt(17)) + -2)**2*-2 + ((sqrt(17) + sqrt(2448) + 0)**2 - (sqrt(187)*-3)/sqrt(11))). -13525 - 175*sqrt(17) Simplify ((sqrt(35) - sqrt(175)/sqrt(5))/sqrt(5) - (sqrt(448) - (sqrt(448)*-2)**2)) + (-4 + (3 + sqrt(175))**2 - sqrt(175)) + -5. 17*sqrt(7) + 1967 Simplify (sqrt(1280) + 1 + 1 + sqrt(1280) + 2 - (0 + sqrt(500) + 1 + -4))**2. 308*sqrt(5) + 2469 Simplify (3*-1*sqrt(130) + 4*sqrt(130)*-4 + sqrt(130))/(sqrt(30)/sqrt(3)*-4 - (sqrt(60)/sqrt(6) + sqrt(10))*3). 9*sqrt(13)/5 Simplify (-3*1*sqrt(162)*3)/((sqrt(60)*1*-2)/((sqrt(40) + 2*sqrt(40))/sqrt(4)))*3 + -5. -5 + 243*sqrt(3)/2 Simplify (5 + 3 + sqrt(2299) + -1*(-2 + sqrt(2299)) + sqrt(2299) + sqrt(2299)*1 + -1 + 1*(sqrt(2299) + 1))**2. 660*sqrt(19) + 20791 Simplify (-3*(-6*(sqrt(66) - -2*sqrt(66)) + sqrt(66))*-4)/((sqrt(864) - 2*sqrt(864)*2)*-5). -17*sqrt(11)/15 Simplify -3 + 1*((sqrt(102)/(-2*sqrt(300)))/((sqrt(24)*2)/sqrt(12) - sqrt(2) - -3*(sqrt(2) - sqrt(4)/sqrt(2))) + 5). -sqrt(17)/20 + 2 Simplify (5*(sqrt(468) + -1 + -2 - sqrt(468) - sqrt(468) - (0 + sqrt(468))*2 - ((2*sqrt(468)*2 - sqrt(468)) + -5)))**2. -3600*sqrt(13) + 421300 Simplify -1*sqrt(98)*1 - (2 + sqrt(98) + 1) - (-1 + (-1 + sqrt(128))*3 + sqrt(128)). -46*sqrt(2) + 1 Simplify ((6*sqrt(2057)*-2)**2 - (sqrt(2057)*1 + -2 - sqrt(2057))**2) + -1*(4*(-1*sqrt(1700))**2 + 2). 289402 Simplify (((sqrt(180) - (2 + sqrt(180)))**2 - sqrt(45)*-3) + 1 + (3 + sqrt(405) + 2)*-3)*1. -18*sqrt(5) - 10 Simplify 5 + ((1*(sqrt(2) - sqrt(8)) + 4*4*sqrt(2))**2 - -2*((-3*sqrt(2) - sqrt(2))*-6 + -3)). 48*sqrt(2) + 449 Simplify sqrt(756)/sqrt(192) + (sqrt(189)/sqrt(108) - sqrt(63))**2 + 0 + (5 + sqrt(6300) + 0)**2. 1203*sqrt(7)/4 + 25475/4 Simplify (-5*2*sqrt(152) + 5*-3*sqrt(152))/((sqrt(72) + (sqrt(72)*1 - sqrt(72)))*-4 + (sqrt(72) - 2*sqrt(72)*1)). 5*sqrt(19)/3 Simplify -5 + ((2*(sqrt(156) + sqrt(156)*-2)*6)/(4*sqrt(300) + sqrt(12) - (sqrt(108) + (sqrt(108) - -1*sqrt(108)) + sqrt(108))))**2. 163/9 Simplify ((sqrt(28) - (2*sqrt(336))/sqrt(12)) + 2*2*sqrt(28))/((sqrt(980) - sqrt(20))/sqrt(5)*3). sqrt(7)/6 Simplify -2*((0 + (sqrt(200)*-4 - sqrt(200)) - (-2 + sqrt(200) + 2 - sqrt(200))) + 4)**2. -10032 + 800*sqrt(2) Simplify (3 + 3*sqrt(2448) + -2 + (-6*sqrt(2448)*2 - 6*((sqrt(2448)*2 - sqrt(2448) - sqrt(2448)) + sqrt(2448))))**2. -360*sqrt(17) + 550801 Simplify -5*(1 + -2*-2*sqrt(304) - -5*(sqrt(1216) + sqrt(1216) + ((0 + sqrt(1216))*6)**2 + sqrt(1216))). -1094405 - 680*sqrt(19) Simplify (5 + 3*(sqrt(637) + (sqrt(637) - (sqrt(637) + -5 + 4)) + sqrt(637) + sqrt(637) + sqrt(637) + (sqrt(637)*-6 - sqrt(637)) + -5) + 2)**2. 630*sqrt(13) + 51622 Simplify (6*-6*(4 + 1*sqrt(1700)))**2 - -3*5*-2*(2 + sqrt(1700)). 103380*sqrt(17) + 2223876 Simplify (0 + (-4 + sqrt(252) - sqrt(252)) + -2 + (6*sqrt(7)*-6 - sqrt(7))*-1)**2. -444*sqrt(7) + 9619 Simplify (((sqrt(60) - sqrt(180)/sqrt(3))*-5)/sqrt(12)*6 - ((sqrt(245) - ((sqrt(245) - (sqrt(245) + -1*sqrt(245))) + 5)**2) + (sqrt(245) + -1)*3))*3. 126*sqrt(5) + 819 Simplify 3 + ((-2 + sqrt(1053) + sqrt(1053) + -1 - sqrt(1053)*-1*4)*-1)**2 + 2*sqrt(1053)*1 + (sqrt(1053) + 2)*3. -279*sqrt(13) + 37926 Simplify (-5*-2*sqrt(525) - (3*sqrt(525)*2 + sqrt(525)))/((sqrt(21) + sqrt(84)*5)/(sqrt(14)/sqrt(18))). 5*sqrt(7)/11 Simplify (3 + ((5*(2*sqrt(539) - sqrt(539)) - sqrt(539)) + -5*(sqrt(539) + sqrt(539)*2) - ((sqrt(539) - 5*(sqrt(539) + 0)) + (-1 + sqrt(539))*2)))**2 + 1. -630*sqrt(11) + 43685 Simplify (sqrt(2000)*-1*3*-2)/(sqrt(40) - (sqrt(40) + sqrt(80)/sqrt(2) + sqrt(40)) - (sqrt(1000) + sqrt(1000)*2 - sqrt(1000))). -5*sqrt(2)/2 Simplify 4*(3*(sqrt(72)*1 + sqrt(72) + sqrt(72)))**2 + -4 + -2 + (sqrt(288) - -2*sqrt(288)) + -4. 36*sqrt(2) + 23318 Simplify (((sqrt(210)*-1)/sqrt(7) + -6*1*sqrt(30))/(sqrt(384)*1*3))**2 + -4. -2059/576 Simplify (((-5 + 0 + sqrt(833) + -3 - 2*(sqrt(833) - (sqrt(833) - (-2 + sqrt(833))*5))) + -1 + 3)*1)**2. -1764*sqrt(17) + 67669 Simplify -1 + (sqrt(8)*-4 - sqrt(288)*-1) - (1 + 2*(sqrt(2)*2 - sqrt(2)) + 5). -7 + 2*sqrt(2) Simplify (((-2*(sqrt(108) + 0) + -4)*6 + sqrt(108) + sqrt(108)*-2 + 2 + -1*(0 + sqrt(108) + sqrt(108) - sqrt(108)) + 4)*-5)**2. 75600*sqrt(3) + 537300 Simplify 3*((sqrt(2) + 0 + sqrt(2))**2*5 + sqrt(2) + sqrt(98)*2 - (1 + ((3 + sqrt(128))*4)**2)). -6459 - 2259*sqrt(2) Simplify (sqrt(156) - ((1*sqrt(156)*1 - sqrt(156)) + sqrt(156)) - sqrt(156) - -3*(sqrt(156) - sqrt(156)*-1))/(1*sqrt(300) - sqrt(12)*-3*3). 5*sqrt(13)/14 Simplify 5*(1*(-3 + (0 + sqrt(1300) - sqrt(1300))*5 + ((-2 + sqrt(1300))*5 - -1*sqrt(1300)*1)))**2. -7800*sqrt(13) + 234845 Simplify 3 + 5*(sqrt(275) + sqrt(275)*2)*-5 + ((sqrt(275) + -6*(-2 + sqrt(275)) + sqrt(275))**2 - sqrt(275)) + -2 + 2 + 2. -860*sqrt(11) + 4549 Simplify (-4 + -3*-2*sqrt(325) + -5 - (-5 + ((5 + sqrt(325)*-1)**2 - -5*-1*sqrt(325))))*4. -1416 + 420*sqrt(13) Simplify (sqrt(204)/sqrt(6)*6)/(sqrt(6)/(sqrt(15)/sqrt(5))) - ((sqrt(1088) + sqrt(1088)*1)*-5*2*5)**2. -10880000 + 6*sqrt(17) Simplify (2*(sqrt(44) - (sqrt(2156) - (sqrt(2156) + sqrt(2156)*-1 + sqrt(2156))))*-4)/((sqrt(84)/sqrt(7))/sqrt(3) + sqrt(8)/(sqrt(2) + sqrt(12)/sqrt(6))). -16*sqrt(11)/3 Simplify ((sqrt(30) - (sqrt(30) - sqrt(150)/sqrt(5)))*5 + (sqrt(120)/sqrt(2))/sqrt(2))/((sqrt(726) - (2*sqrt(726) + sqrt(726)))*3*-5). sqrt(5)/55 Simplify ((sqrt(847) + -4 + sqrt(847) + -1 + sqrt(847))**2*-1 - (-6*(sqrt(448)*-2 + sqrt(448))**2 + -3)) + 1. -4956 + 330*sqrt(7) Simplify -1*((sqrt(320)*1 + -3 - (4 + (1 + sqrt(320) - sqrt(320))))**2 + (3 + sqrt(320) + -4 + sqrt(320) + 0)**2). -1665 + 160*sqrt(5)
Suppose 14*l + 3*n = 10*l + 5, -5*n + 20 = -5*l. Is (89760/(-3))/l - 3 a prime number? True Let v = 3089 + -4414. Let u(w) = 280*w**3 - 2*w**2 - 2. Let p be u(2). Let i = v + p. Is i a prime number? False Suppose 63*h = 64*h - 3*y - 50305, -h + 50323 = -6*y. Is h a prime number? True Let x be 2 - 3 - 179/1. Suppose 2*y + 43 = 9. Let c = y - x. Is c a prime number? True Let a(k) = -300*k - 110*k + 158 - 106*k + 63*k. Is a(-13) prime? True Let n = 2832 - 60. Let x = n + -1544. Is x/(-3)*(-21)/14 composite? True Let z(x) = -x**2 + 18*x + 3. Let u be ((-1)/(-2)*1 + 4)*4. Let w be z(u). Is (-1574)/w*21/(-14) composite? False Let p be 5 + (-1)/((-1)/(-9)). Is 52/p*(3 - 400) composite? True Suppose -167*t = 141*t + 1104960 - 10578116. Is t a composite number? False Let v(d) = -3669*d**2 + 3*d - 5. Let i be v(1). Let z = 9510 + i. Is z prime? True Is -5*(0 - -1)*((-1665)/(-37) - 4502) a prime number? False Let o(z) = -6*z + 37. Let a be o(5). Suppose 5*t - 6*t = -5*m + a, -2*t + 6 = 0. Suppose -m*l - 4*y = -1922, -5*l + 1741 = y - 3091. Is l a prime number? True Suppose d = -c + 16 - 1, 3 = -d + 5*c. Suppose 16*s = d*s - 12. Is (s - 10/(-5))*521*-1 a composite number? False Suppose -5*m + 6 = 4*g - 6*m, 0 = 4*g + m - 2. Let f(w) = 4690*w**3 + 3*w - 2. Is f(g) prime? True Suppose m - 2397 = 5*x, -8*x + 6*x = 2*m - 4746. Let u(i) = 4*i**3 + 8*i**2 - 9*i. Let z be u(10). Let s = z - m. Is s prime? True Let z(h) = 14*h - 252. Let g be z(-6). Is 60644/7 - (-144)/g prime? True Let p be (-6)/(-54)*47 - (-4)/(-18). Suppose p*y - 235 = -5*x, 4*y - 5*x = 5*y - 51. Is y a composite number? True Let q be 4 + 2 + 6/(-2). Suppose 3*z = -10*g + 9*g + 2798, -z = -q*g + 8424. Is g a prime number? False Let f(l) = 324591*l**2 + 5*l + 3. Is f(-2) a composite number? False Let y be (-24)/6*(-4)/8. Let g(f) = -f**2 - 3*f. Let l be g(-3). Suppose -3*j = -p - 608, -j - 5*p + y*p + 206 = l. Is j a composite number? True Let i = 112059 - 57274. Is i a prime number? False Let i(v) = -5*v - 5. Let q be i(-3). Let z(l) = l**2 - 11*l + 14. Let x be z(q). Is ((-2)/1)/(x/(-758)) prime? True Let c(n) = n**3 + n**2 + 8*n - 13. Let x be 3*8/(-12) - 28/(-4). Suppose -4*w + 4*m + 20 = 0, -3*w + 9 = -x*m - 4. Is c(w) a composite number? True Suppose 72*m = 60*m + 701628. Is m composite? True Let v(d) = d. Suppose -4*s - 8 + 38 = -2*i, -30 = -3*s + 4*i. Let a be v(s). Let m(g) = 293*g - 1. Is m(a) a composite number? True Suppose -100*l + 99*l = -6. Is ((-30747)/l + 1)/(11/(-22)) prime? True Suppose 0 = 28*p + 20387 - 326259. Suppose 42*k - p - 8858 = 0. Is k a prime number? False Suppose 3*r + 29 + 163 = 0. Let c = 65 + r. Is (-54 + -5 + c)/(-1) a prime number? False Let t(f) = -105289*f + 918. Is t(-1) composite? False Let f = -44897 - -300736. Is f composite? False Let k = -1174375 + 2022246. Is k prime? True Let j(t) = 1268*t**2 + 61*t + 4. Is j(-5) prime? False Suppose 3*y + 14343 = -3*t, -2*y + 191*t = 186*t + 9548. Let d = 7358 + y. Is d a composite number? False Let g(h) = 7*h - 2. Let q be g(0). Let w(a) = -1365*a**3 - 6*a**2 - 2*a + 3. Is w(q) a composite number? False Suppose -47*r - 100 = -52*r. Let k be (-8)/r*-1*199*5. Suppose -g + k = 43. Is g prime? False Is 551461/6*-19*108/(-342) composite? False Suppose -2*x = 45 + 187. Let v be x/(-36) + (-1)/((-18)/(-4)). Suppose j = 0, -2*j = -5*n - v*j + 6715. Is n composite? True Let d(k) = 109*k**2 - 9*k + 31. Let x be (-31)/(-310) + (-218)/(-20). Is d(x) a prime number? True Let t(s) = 738*s**3 - 2*s + 1. Let p(a) be the second derivative of -a**5/20 + 3*a**4/4 - 4*a**3/3 + a**2/2 - 5*a. Let w be p(8). Is t(w) composite? True Suppose -4*v = -w + 241, 0*w = -5*w + v + 1300. Let u = w + 208. Is u composite? True Let t(a) = 7*a**3 - 11*a**2 + 8*a + 8. Let z be t(14). Suppose 8*p - 18132 = z. Is p prime? False Let q = -90258 + 135593. Is q composite? True Let g = -76 - -76. Suppose i + 148 - 1887 = g. Is i a composite number? True Suppose 0 = -5*n + 11*n. Is 2496 - 33 - (n - 0) a composite number? True Let m = 97769 + 112002. Is m a prime number? True Suppose 0 = -5*r + r + 8. Suppose 0 = -r*l + 951 + 71. Suppose a + l = 2*a. Is a composite? True Suppose -9*h + 8*h - 2*k = -58545, -5*k = -5*h + 292695. Is h prime? False Let d(g) = 21397*g - 3. Let n be d(1). Suppose -8074 + n = 6*f. Suppose 18*w - f = 6*w. Is w prime? False Let j(m) = 53123*m**2 + m - 1. Let z(r) = 4*r**2 + 7*r + 2. Let x be z(-1). Is j(x) a composite number? True Let m(u) be the third derivative of 7*u**5/30 - 41*u**4/24 - u**3/6 - 20*u**2 - 2. Is m(18) prime? True Let i be 0 + 20/25*5. Suppose -3*v + 8*v = -25, 2035 = 3*w + i*v. Is w composite? True Suppose -73*a - 560783 = -464610 - 1577124. Is a a prime number? True Let t = 186 - 190. Is (-10 - t) + 1 + 6612 a prime number? True Suppose -229*g = -6804587 - 2156412. Is g a prime number? False Suppose 531227 = 2*a - 3*r, -86*a + 81*a + 2*r + 1328029 = 0. Is a a composite number? True Is (-304599)/((4 - (19 - 9))/4) a composite number? True Let m(q) be the first derivative of 40*q**3 + 9*q**2/2 - 38*q + 12. Is m(5) composite? True Let c = -8188 + 4975. Let f = 1490 - c. Is f a prime number? True Is ((-3)/(-5))/((-336)/(-8877680)) composite? True Let c = 61169 + -23766. Is c composite? True Let w(m) = -13 + 25*m + 4*m**3 - 71*m**2 + 5*m**3 + 9*m**3 - 14*m**3. Is w(22) a prime number? False Let i = 3034 + -1404. Suppose 33*m - 36*m + 1616 = 5*v, i = 3*m - 2*v. Is m a composite number? True Is 2*(-2 + 1 - 24/(-16))*451039 composite? False Let v(n) = -54*n**2 - 22*n - 50. Let z be v(13). Let y = z + 24076. Is y prime? False Let f = -223906 - -328365. Is f a prime number? True Let k(j) = -944*j - 398. Is k(-11) prime? False Let g be (1 - 5)/4 - (-42 + -1). Let r = 172923 - 80997. Is r/g - (-4)/14 a prime number? False Let c(u) = -u**3 - 2*u**2 + 6521. Let t(b) = 15*b - 15. Let p be t(1). Is c(p) prime? True Suppose -b + 1322 = -3*p, b + 1930 = -5*p - 260. Suppose 3*h + 6*f = 10*f + 2762, -f - 1838 = -2*h. Let o = p + h. Is o composite? False Suppose 0 = -2*r + 28*r - 609388. Let k = r - 9297. Is k composite? True Suppose z - 650 = 175. Let h(y) = 10*y**2 - 2*y + 6. Let t be h(-6). Let f = z + t. Is f a prime number? False Let m be (-1)/(-1 + (-10)/(-15)). Suppose 3*q + 12 = 0, -2*b - m*b + 104 = -q. Is 4 + (-252)/(b/(-5)) a prime number? True Suppose -75*d - 21*d = 28*d - 18776948. Is d prime? False Suppose 7832 = 5*h - 65643. Suppose h = n - 2352. Is n prime? True Suppose 0 = 153*z - 156*z + 81. Is (-12)/2 - (-2216 - z) a prime number? True Let r be 15/10 - 15/(-6). Suppose 2975 = 4*f + q, 9*f - 3700 = r*f + 5*q. Is f prime? True Let y = -26168 - -49215. Is y composite? True Let i(s) = -38*s**3 - 2*s**2 - 3*s + 16. Let w be i(2). Let l = 2085 + w. Is l a composite number? False Suppose 241 = 4*h - y, -y + 194 = 5*h - 105. Let s = 4921 - h. Is s a prime number? True Suppose 0 = -90*b + 88*b - 4*n + 637098, -3*b - 5*n + 955651 = 0. Is b a prime number? True Is 555555/70 - (-2)/4 a prime number? True Let y(h) be the first derivative of h**2 + 8*h + 4. Let l be y(-7). Let v(x) = -55*x - 1. Is v(l) composite? True Suppose 5*k + 2*n - 170 = 0, -k + 5*n + 46 = -15. Suppose -k = -4*g - 5*g. Suppose 8107 + 513 = g*m. Is m a composite number? True Let u = 5302 - -2613. Let k = u - 4616. Is k a prime number? True Let c(d) = 7*d + 22. Let n be c(-2). Suppose -n*o = -17*o + 208287. Is o a prime number? True Suppose -4151470 = -50*k + 7285080. Is k prime? True Let c(k) = -k - 2. Let n be c(-5). Let m be 2/(-7)*((-1487 - 8) + -31). Suppose 3*o - n*v = 7*o - 436, -5*v + m = 4*o. Is o a prime number? True Suppose -9*u + 11*u = -l + 172291, 3*u - 172295 = -l. Is l a composite number? False Let x be 5/45 + (-142)/(-18). Suppose -3 = -x*b + 21. Suppose 0 = b*h + l - 279, l + l - 279 = -3*h. Is h composite? True Suppose 0 = -q - f + 3*f + 15957, -5*f - 15954 = -q. Suppose -6301 = 2*u - q. Is u a prime number? False Let j = -16023 + 63958. Is j prime? False Suppose 5*j = p + 161832, 73*j - 68*j = 2*p + 161834. Is j a composite number? True Let k(o) = -o - 2. Let c be k(-4). Suppose -c*d = 3*d + j - 40, -52 = -3*d + 5*j. Suppose 0 = d*p - 10*p + 587. Is p prime? True Suppose 162*k + 62*k = 108949792. Is k a composite number? True Let q(f) = -f + 3564*f**2 - 7*f + 31*f**2 + 6*f. Is q(1) a prime number? True Suppose -57*r + 8247858 = -1396789 - 63319286. Is r prime? False Let p = -6 + 49. Let a = p - 43. Suppose a = i - 20 - 2. Is i a prime number? False
Calculate prob of picking 1 w, 2 x, and 1 k when four letters picked without replacement from {w: 1, k: 2, t: 1, x: 2}. 2/15 What is prob of picking 4 j when four letters picked without replacement from ssjsjjj? 1/35 Three letters picked without replacement from {o: 9, k: 4, r: 6}. What is prob of picking 1 r and 2 o? 72/323 Four letters picked without replacement from {h: 3, o: 11, w: 3, s: 2}. Give prob of picking 3 w and 1 o. 11/3876 What is prob of picking 1 w, 1 a, and 1 j when three letters picked without replacement from {j: 8, a: 2, w: 2, z: 5}? 4/85 What is prob of picking 1 g, 2 e, and 1 l when four letters picked without replacement from lgjlejlkjgjj? 0 Two letters picked without replacement from {v: 1, g: 1, k: 1, t: 6}. Give prob of picking 1 g and 1 v. 1/36 Three letters picked without replacement from {d: 2, z: 3, h: 1, n: 1, g: 7}. What is prob of picking 1 z, 1 n, and 1 h? 3/364 Three letters picked without replacement from kkhkhkkh. Give prob of picking 3 k. 5/28 Four letters picked without replacement from {j: 10, d: 4}. Give prob of picking 3 j and 1 d. 480/1001 Calculate prob of picking 1 i and 1 n when two letters picked without replacement from {w: 1, z: 1, n: 2, i: 1, c: 4, v: 3}. 1/33 What is prob of picking 2 p and 2 n when four letters picked without replacement from nnnnnpp? 2/7 Two letters picked without replacement from {g: 1, a: 2, l: 1, e: 1, z: 2, j: 1}. Give prob of picking 1 j and 1 z. 1/14 Four letters picked without replacement from ntdndqdnndndntnn. Give prob of picking 4 t. 0 Calculate prob of picking 2 h when two letters picked without replacement from {a: 2, o: 2, i: 1, v: 1, h: 6, f: 6}. 5/51 Calculate prob of picking 1 j and 1 p when two letters picked without replacement from jtmtjitmtmjempmjt. 1/34 What is prob of picking 1 n and 1 y when two letters picked without replacement from ydnynddyyyyddqqhnyry? 12/95 What is prob of picking 4 h when four letters picked without replacement from {m: 7, h: 9, t: 2}? 7/170 Four letters picked without replacement from kicibak. What is prob of picking 1 a, 1 c, and 2 i? 1/35 Two letters picked without replacement from {a: 2, n: 18}. Give prob of picking 2 n. 153/190 Calculate prob of picking 2 r when two letters picked without replacement from {k: 3, r: 17}. 68/95 Two letters picked without replacement from {z: 4, b: 1, j: 2, h: 2}. What is prob of picking 1 b and 1 z? 1/9 Three letters picked without replacement from {h: 2, k: 1, w: 2}. Give prob of picking 2 w and 1 k. 1/10 Two letters picked without replacement from qaqaqaaaaaaaaqqaaaa. Give prob of picking 2 a. 91/171 Two letters picked without replacement from {r: 2, g: 2, k: 2}. What is prob of picking 1 k and 1 r? 4/15 Two letters picked without replacement from ggg. Give prob of picking 2 g. 1 Two letters picked without replacement from isb. What is prob of picking 1 i and 1 b? 1/3 Calculate prob of picking 1 p and 2 b when three letters picked without replacement from ppbbbbbp. 15/28 What is prob of picking 1 e, 2 h, and 1 o when four letters picked without replacement from {e: 4, h: 6, o: 4}? 240/1001 Two letters picked without replacement from tdnpdpydtttpdd. Give prob of picking 1 p and 1 t. 12/91 Two letters picked without replacement from {s: 1, z: 2, f: 1, q: 2}. Give prob of picking 1 f and 1 z. 2/15 What is prob of picking 1 z and 1 i when two letters picked without replacement from ddiaydiyiddazi? 4/91 Calculate prob of picking 2 f when two letters picked without replacement from ffffffffkffff. 11/13 Four letters picked without replacement from {n: 2, m: 5, r: 13}. What is prob of picking 4 r? 143/969 Calculate prob of picking 1 c and 1 d when two letters picked without replacement from cdcdccd. 4/7 What is prob of picking 1 l, 1 a, and 2 d when four letters picked without replacement from fdald? 1/5 Two letters picked without replacement from xxux. What is prob of picking 2 x? 1/2 Calculate prob of picking 2 w and 2 h when four letters picked without replacement from {h: 5, w: 11}. 55/182 Calculate prob of picking 2 q when two letters picked without replacement from qqqq. 1 Four letters picked without replacement from {f: 2, j: 3, h: 1, m: 5, u: 6}. What is prob of picking 1 u, 1 h, 1 m, and 1 j? 9/238 What is prob of picking 1 e and 1 v when two letters picked without replacement from {v: 1, e: 2}? 2/3 Two letters picked without replacement from ctcc. What is prob of picking 1 c and 1 t? 1/2 Calculate prob of picking 1 f and 1 m when two letters picked without replacement from {m: 5, f: 1, d: 6, e: 1, b: 2, q: 2}. 5/136 Four letters picked without replacement from ksjjgsgh. Give prob of picking 1 s, 1 g, 1 h, and 1 k. 2/35 What is prob of picking 3 b when three letters picked without replacement from ubuubuuuuubuuuuuuu? 1/816 Calculate prob of picking 1 u and 1 t when two letters picked without replacement from wtsqttqsuessquqqusq. 1/19 Four letters picked without replacement from {b: 4, e: 8, n: 3, s: 2}. What is prob of picking 3 b and 1 e? 8/595 Four letters picked without replacement from pkkupukuoukuo. What is prob of picking 3 k and 1 u? 4/143 Three letters picked without replacement from lmlllllmmrlrmlml. What is prob of picking 1 r and 2 l? 9/70 What is prob of picking 2 y when two letters picked without replacement from gyggyg? 1/15 Three letters picked without replacement from hiyhiiiyn. What is prob of picking 1 h, 1 n, and 1 i? 2/21 Two letters picked without replacement from {b: 1, e: 1, g: 2, w: 1}. What is prob of picking 1 g and 1 e? 1/5 What is prob of picking 1 w, 1 n, and 2 u when four letters picked without replacement from {g: 2, n: 2, w: 3, a: 7, u: 4}? 1/85 What is prob of picking 1 v and 1 b when two letters picked without replacement from {e: 1, r: 3, v: 2, b: 1, h: 3}? 2/45 Calculate prob of picking 1 c, 1 i, and 1 w when three letters picked without replacement from icqzwir. 2/35 Four letters picked without replacement from {e: 7, v: 1, a: 2, n: 4}. What is prob of picking 3 n and 1 e? 4/143 Three letters picked without replacement from {r: 4, j: 7, b: 1, x: 2, w: 2}. Give prob of picking 1 b, 1 r, and 1 x. 1/70 What is prob of picking 2 k and 2 q when four letters picked without replacement from eqeezzekeeeezqeqeqk? 1/646 Calculate prob of picking 2 h and 1 v when three letters picked without replacement from {v: 1, h: 7}. 3/8 Three letters picked without replacement from zyzz. What is prob of picking 3 z? 1/4 What is prob of picking 2 p and 1 q when three letters picked without replacement from qqppqqqqqppqqppp? 27/80 What is prob of picking 2 f when two letters picked without replacement from fllffffffffl? 6/11 What is prob of picking 1 y and 1 m when two letters picked without replacement from ymmmmmymymmm? 9/22 Calculate prob of picking 1 o and 1 h when two letters picked without replacement from ooohohhocmommm. 18/91 What is prob of picking 1 v and 2 r when three letters picked without replacement from rvffffvfrffrfffr? 3/140 Calculate prob of picking 2 w and 2 e when four letters picked without replacement from {w: 10, e: 4}. 270/1001 Three letters picked without replacement from rxbxjxxabx. What is prob of picking 1 r, 1 a, and 1 x? 1/24 Two letters picked without replacement from {f: 2, u: 3}. Give prob of picking 2 u. 3/10 What is prob of picking 1 w, 2 z, and 1 q when four letters picked without replacement from {w: 3, q: 3, c: 2, z: 7}? 9/65 Two letters picked without replacement from {e: 2, r: 9}. Give prob of picking 1 r and 1 e. 18/55 Calculate prob of picking 2 t when two letters picked without replacement from {t: 6}. 1 Two letters picked without replacement from mphpmphllmhphi. What is prob of picking 2 p? 6/91 Calculate prob of picking 1 o, 2 e, and 1 h when four letters picked without replacement from ttteeetezohtszz. 2/455 Calculate prob of picking 1 z and 2 d when three letters picked without replacement from {d: 5, q: 3, z: 1}. 5/42 Calculate prob of picking 1 a, 1 t, and 1 s when three letters picked without replacement from eaeestsea. 1/21 Calculate prob of picking 4 q when four letters picked without replacement from aaaaaaqaaaqaaqqaaaaq. 1/969 Three letters picked without replacement from ansts. What is prob of picking 2 s and 1 a? 1/10 Calculate prob of picking 1 q and 1 m when two letters picked without replacement from rqlwm. 1/10 Three letters picked without replacement from lllulyuuluyuufflll. What is prob of picking 1 l, 1 f, and 1 y? 2/51
Simplify ((-2*(sqrt(104)*4 + sqrt(104)))/(sqrt(16)/sqrt(2)*6))**2. 325/9 Simplify 0 + ((sqrt(2736) - (sqrt(2736) + -1*sqrt(2736)))*5 + sqrt(2736) + 0 + sqrt(2736) + 4 + sqrt(2736) - 6*(-1 + sqrt(2736)*-2 + sqrt(2736))**2). -16418 - 48*sqrt(19) Simplify -2*(-3 + -6*(-1*(sqrt(475) - (1 + sqrt(475) - sqrt(475)))**2 - ((sqrt(475) + 2)**2 + -2))). -11430 - 120*sqrt(19) Simplify -1*(3 + sqrt(176)) + sqrt(176) - (-1*sqrt(11)*-4 + 5). -4*sqrt(11) - 8 Simplify 2*1*-5*(-6*(-2 + sqrt(684)) + sqrt(684))**2*-4. -28800*sqrt(19) + 689760 Simplify 3*(((-2 + sqrt(11))*4 + sqrt(11))*4*5 + -4)**2. -98400*sqrt(11) + 410688 Simplify sqrt(60)/(sqrt(300)*4) - (sqrt(125) + (sqrt(125) - sqrt(125)*2) + sqrt(5) + sqrt(15)/sqrt(3)*6)**2. -245 + sqrt(5)/20 Simplify (2*((sqrt(171) + -2)*-1 + sqrt(171) + sqrt(171)*-3*5) + -5)**2. 180*sqrt(19) + 153901 Simplify (3*4*(sqrt(99)*1 - sqrt(99))*5)**2. 0 Simplify (((sqrt(60) + sqrt(60) + sqrt(240))/sqrt(4) + sqrt(15))*-6)/(-4*(sqrt(3) + 2*sqrt(3) - sqrt(3))*3). 5*sqrt(5)/4 Simplify (((sqrt(85)*-3)/sqrt(5)*-6 + sqrt(51)/((sqrt(324)/sqrt(9))/sqrt(12)))*-4)**2. 98192 Simplify (1 + -5*sqrt(425)*-2 - (5 + 1 + 2 + sqrt(425)))**2. -630*sqrt(17) + 34474 Simplify (sqrt(33) - (sqrt(33) + (sqrt(33) - ((sqrt(33) - (sqrt(33) + 5*sqrt(33)))*5 + sqrt(33)))) - sqrt(33))/(sqrt(3) - sqrt(12)*5). 26*sqrt(11)/9 Simplify ((0 + sqrt(3))*4*-1 + -2 + 2 + sqrt(75))**2. 3 Simplify ((sqrt(102) - -2*-2*sqrt(102)) + (sqrt(102) + 5*(sqrt(102) + 2*sqrt(102)) - sqrt(102) - sqrt(102)))/((sqrt(384)*-3 + sqrt(384))*-4). 11*sqrt(17)/64 Simplify ((sqrt(19)*-5*-6)**2 + -2)*-3 + 3. -51291 Simplify ((4*-1*sqrt(700) + 2 + sqrt(700) + -1*sqrt(700) + -1)*-5)**2. -2000*sqrt(7) + 280025 Simplify sqrt(35)/(sqrt(5) - (sqrt(320) - sqrt(320)*3)) + (sqrt(1029) + (sqrt(1029) + sqrt(1029)*2 - sqrt(1029)))/sqrt(3) + -5. -5 + 358*sqrt(7)/17 Simplify (-4*sqrt(48)/sqrt(3))/(sqrt(8) + -6*(sqrt(8) + sqrt(32)/sqrt(4)) + sqrt(8)) + -3. -3 + 2*sqrt(2)/5 Simplify 1*(1*sqrt(243) + sqrt(243) + -5 + 3)**2*-4. -3904 + 288*sqrt(3) Simplify -6*(((sqrt(11) + -3 + sqrt(11) + sqrt(11))*-1)**2 - (sqrt(396) + sqrt(396)*2)**2). 108*sqrt(11) + 20736 Simplify (-3*sqrt(171) + -2)**2 + sqrt(133)/(6*sqrt(7)*2). 433*sqrt(19)/12 + 1543 Simplify ((sqrt(3328) + -1*sqrt(3328) + (sqrt(52) - (sqrt(468) + sqrt(468)*-2)/sqrt(9)) + sqrt(52))/((sqrt(36)/(2*sqrt(3)))/sqrt(3)))**2. 468 Simplify (3*sqrt(24)/sqrt(2))/(sqrt(6) - (sqrt(54)*-1 + sqrt(54)))*-2. -6*sqrt(2) Simplify -6*sqrt(1008)*2 + sqrt(1008) + ((0 + sqrt(1008))*-4)**2. -132*sqrt(7) + 16128 Simplify (2*((sqrt(117) - (1 + sqrt(117))) + sqrt(104)/(sqrt(16)/sqrt(2)) + (sqrt(117)*2*5)/sqrt(9)))**2. -88*sqrt(13) + 6296 Simplify 1*(2*(sqrt(70) + sqrt(70) + sqrt(70) + sqrt(70) + (sqrt(70) - 1*sqrt(70))))/(sqrt(10) + (-5*1*sqrt(10) - sqrt(10))). -8*sqrt(7)/5 Simplify 2 + -6*(((sqrt(612)*-2 - sqrt(612)) + -1 + sqrt(612))*5)**2. -367348 - 3600*sqrt(17) Simplify (sqrt(11) - (sqrt(99)*2)/sqrt(9))*-3 + (sqrt(1100) - (sqrt(1100)*1 + 2)). -2 + 3*sqrt(11) Simplify ((sqrt(44) + sqrt(396) + sqrt(44) + sqrt(44))/sqrt(2) + sqrt(22) - sqrt(110)/(sqrt(5) - sqrt(20)))/(-4*(sqrt(396) - sqrt(11))). -2*sqrt(2)/5 Simplify (sqrt(144)/(sqrt(12)*-2)*-1)/(sqrt(48)/(sqrt(8) + sqrt(16)/sqrt(50))). 3*sqrt(2)/5 Simplify -1*((sqrt(2448) - (-2 + sqrt(2448) + -2)) + (sqrt(2448) - (sqrt(2448) + (sqrt(2448) - (sqrt(2448) + 2)) + 3 - sqrt(2448))) + sqrt(2448))**2. -9801 - 144*sqrt(17) Simplify (3 + ((3*-5*(1 + sqrt(3)) + -2)*3)**2)*-6. -52074 - 27540*sqrt(3) Simplify (sqrt(468) + 1)**2 - (2 + sqrt(208) + -2). 8*sqrt(13) + 469 Simplify ((sqrt(7) - sqrt(28))*4 + sqrt(7)*1 + 4)**2 + -4*2*(sqrt(7) + -1) + -3. -32*sqrt(7) + 84 Simplify ((sqrt(27) + sqrt(243) + sqrt(27))/sqrt(9) - ((sqrt(3) - (0 + sqrt(3)))**2 + 0)) + ((sqrt(18)/(sqrt(24)/sqrt(4)) - sqrt(3)) + 3)**2. 5*sqrt(3) + 9 Simplify (2*(6*(sqrt(1216) - (sqrt(1216) + 3 - sqrt(1216))) - 1*sqrt(19)*-2*-3))**2. -6048*sqrt(19) + 135360 Simplify (-5*(sqrt(7200)*2)/(-1*sqrt(490)))**2. 72000/49 Simplify (5*sqrt(208)*2 - -4*-2*sqrt(208))**2. 832 Simplify sqrt(192) + sqrt(192) + -1 + -2 - (-5*sqrt(9)/sqrt(3) + 3)**2. -87 + 46*sqrt(3) Simplify (((sqrt(42) - 4*sqrt(1050))*1)/(sqrt(72)/(2*sqrt(12)) - (sqrt(6) - sqrt(864)/sqrt(9))))**2. 1444/7 Simplify (1*sqrt(833)*2*2*-4)**2*1. 213248 Simplify 1*sqrt(475) + (1 + -1 + sqrt(19))**2 - ((1*(2 + sqrt(1900)) - sqrt(1900))**2 - sqrt(1900)). 15 + 15*sqrt(19) Simplify (sqrt(608)*2)/(sqrt(98)*3)*-6. -16*sqrt(19)/7 Simplify (-5*(sqrt(209) - 4*(sqrt(209) - (sqrt(209) + 1*sqrt(209)))))/(sqrt(176)*3*5). -5*sqrt(19)/12 Simplify -1*(-5 + (4*(sqrt(117) + 1))**2 + 3). -1886 - 96*sqrt(13) Simplify (sqrt(176) + 2 - (sqrt(11) + 3)*5) + 4. -9 - sqrt(11) Simplify (-4*(-5 + 5*(0 + sqrt(300) - sqrt(300))))**2. 400 Simplify -5 + (1 + 3 + sqrt(99))**2 + 0 + 0 + 2 + sqrt(11). 25*sqrt(11) + 112 Simplify (-3*(sqrt(65)*2*-1)/sqrt(5))**2 + -3. 465 Simplify ((1*sqrt(228)*-2 - sqrt(228)) + -3*-1*sqrt(228))/(6*(sqrt(12) - (sqrt(12) + -2*sqrt(12) + sqrt(12)))*-4). 0 Simplify sqrt(153)/((sqrt(144) - sqrt(9))*2) - sqrt(204)/(sqrt(1200) + sqrt(1200)*3). 17*sqrt(17)/120 Simplify ((sqrt(1008) - sqrt(1008)*4*4) + sqrt(1008) - sqrt(1008))/((sqrt(64) + (-4*sqrt(64) - sqrt(64) - sqrt(64) - sqrt(64) - sqrt(64)))*5). 9*sqrt(7)/14 Simplify (sqrt(132)*3 + (sqrt(363)/sqrt(44) - sqrt(33)))/((sqrt(1331) - (sqrt(1331) + -1*sqrt(1331)))*-4 + sqrt(1331)) + -2. -2 - sqrt(3)/6 Simplify ((-1 + sqrt(1100)*1 - (sqrt(1100)*-1 + 3)) + 4*(sqrt(1100) + (-2*-1*sqrt(1100) - sqrt(1100))))**2. -800*sqrt(11) + 110016 Simplify (-1 + -1*(sqrt(1539) + -4 + -2 + sqrt(1539)))**2. -180*sqrt(19) + 6181 Simplify (-1*sqrt(1701) + sqrt(21))/((sqrt(12) - sqrt(3))*-2) + -1 + -5. -6 + 4*sqrt(7) Simplify ((sqrt(88) + 2*sqrt(88)*2)/sqrt(8) + sqrt(99)*-1 + -5)**2*4. -80*sqrt(11) + 276 Simplify (6*(2*sqrt(272))**2 + ((sqrt(272) + -1 + sqrt(272) - sqrt(272)) + 0)**2)*-5. -34005 + 40*sqrt(17) Simplify (-6*(sqrt(17) - sqrt(153)) - ((sqrt(204) - (sqrt(204) + sqrt(204)*-1)) + sqrt(204))/sqrt(12))*4*-6. -240*sqrt(17) Simplify (5 + 6*(sqrt(2057) + sqrt(2057)*-1 + -4 - sqrt(2057) - 4*(1 + sqrt(2057))) + 0)**2. 28380*sqrt(17) + 1853149 Simplify (0 + -5*(0 + sqrt(1200) + 4*2*sqrt(1200)))**2. 2430000 Simplify 5 + 5 + (-2 + sqrt(1008) + (sqrt(7) + -2)*6 + 1)**2. -468*sqrt(7) + 2447 Simplify (5*(3 + (sqrt(343) + 1)*-6 + sqrt(343) + (sqrt(343) + 1)*1)*1)**2. 2800*sqrt(7) + 137300 Simplify (5*(-4*-5*sqrt(22))/(sqrt(11) + -6*sqrt(11)*-5))**2. 20000/961 Simplify -5 + 4 + 5*(2 + (sqrt(30)*2*6)/sqrt(10)). 9 + 60*sqrt(3) Simplify (sqrt(50) + 1 - sqrt(4)/sqrt(2)*5)**2 - -4*(sqrt(2) + (sqrt(2)*4)**2)*6. 24*sqrt(2) + 769 Simplify -1*(4*-2*(-2*sqrt(272) + 1))**2*6. -418176 + 6144*sqrt(17) Simplify (-3*(1 + sqrt(76)) + 2 + -1 + -1*sqrt(76)*-2)**2. 8*sqrt(19) + 80 Simplify -1*(sqrt(252)*-2 + -5 + 0 + ((sqrt(448) + -1 + sqrt(448) + sqrt(448))**2 - sqrt(448)) + 5). -4033 + 68*sqrt(7) Simplify (-2*(sqrt(168)*-2 - sqrt(168))/((sqrt(6) - sqrt(24)/sqrt(4) - sqrt(6))*4))**2*-5. -315 Simplify 4*(-6*(2*sqrt(175) + -5 + 0)**2 + 2). -17392 + 2400*sqrt(7) Simplify 4 + (sqrt(85) - (sqrt(85) - (sqrt(85) - (sqrt(85) - sqrt(85)*1)*5 - sqrt(85) - sqrt(85))))/(-2*sqrt(405)). sqrt(17)/18 + 4 Simplify sqrt(847)*1 + 1 - -3*(sqrt(7) - (-1*sqrt(77) + sqrt(77))/sqrt(11))**2. 22 + 11*sqrt(7) Simplify ((-1*(sqrt(2) + 1) + 3 + -4*(0 + sqrt(128)) + -1)*-1)**2. -66*sqrt(2) + 2179 Simplify (-1 + sqrt(425)*2 + -1 - (sqrt(170)*2*4 - sqrt(170) - sqrt(170))/(-4*-1*sqrt(10)))**2. -34*sqrt(17) + 4929/4 Simplify 1*sqrt(1053)*5 - (sqrt(78) - (sqrt(78) - 5*(sqrt(78) + sqrt(78) + sqrt(78) + sqrt(78)*2)))/sqrt(6). 20*sqrt(13) Simplify 4 + ((sqrt(325) - sqrt(325)*1*-3) + sqrt(325) - sqrt(325) - sqrt(325) - (3 + (sqrt(325) - (0 + sqrt(325)))))**2. -90*sqrt(13) + 2938 Simplify (sqrt(18) - ((sqrt(882) - (sqrt(882) - (sqrt(882) + sqrt(882) + 4*sqrt(882) + sqrt(882))) - sqrt(882)) + sqrt(882)))/(sqrt(24)/sqrt(400)). -480*sqrt(3) Simplify (sqrt(605) + -1 + 0 + 1)**2 + 2 + 2. 609 Simplify 5*((sqrt(405) - 3*sqrt(405))*5 + sqrt(405) - (3*sqrt(3025))/sqrt(5)). -570*sqrt(5) Simplify ((sqrt(80) - (sqrt(80) + 0))**2 - sqrt(80)) + sqrt(5) + (-1 + sqrt(5))**2 + sqrt(5) + -2 - (sqrt(10)/sqrt(2) + 3 + sqrt(30)/(sqrt(6)*-1)). -4*sqrt(5) + 1 Simplify (-2*sqrt(891) - sqrt(891))*-6 + sqrt(891) + sqrt(891) + 0 + 2 + -1 + (1*sqrt(891))**2 + 5. 180*sqrt(11) + 897 Simplify (sqrt(228) - (sqrt(228) + 4*sqrt(228)*-2 - sqrt(228)) - sqrt(228))/sqrt(12) + (sqrt(171) + -4*-5*sqrt(171))/sqrt(9). 29*sqrt(19)
What is 0.105 take away 4208? -4207.895 Calculate 1 + 0.3331. 1.3331 What is -0.7 minus -32774? 32773.3 What is 8.6 less than -36.9? -45.5 Work out -0.3 + 133.9. 133.6 What is 1 - -69.043? 70.043 Sum -0.03 and 1335. 1334.97 What is -2.31 less than 31? 33.31 Subtract -0.2892 from -2.7. -2.4108 Add 0.5 and 3.51512. 4.01512 What is -55 less than 3093? 3148 -0.4+-301.179 -301.579 What is the difference between -183 and -5.9? 177.1 What is 29 plus 9? 38 Work out 2.082882 - -2. 4.082882 Put together 73.8 and -4.68. 69.12 Calculate -15 + 18.11. 3.11 What is 0.2 minus -568556? 568556.2 Calculate -0.047 - 11473. -11473.047 What is -59 minus -611.8? 552.8 Sum 84 and -0.64. 83.36 Add together -0.26 and 37.2. 36.94 Sum -40715.3 and 0.2. -40715.1 What is 47 minus -0.18? 47.18 Add together -297.97 and -582. -879.97 Sum -1.006 and 111. 109.994 Work out -2468.35 + 3. -2465.35 Add together -0.0954 and -0.3. -0.3954 What is -0.13554 plus -0.016? -0.15154 Work out 1.716 + -0.005. 1.711 Add -4 and 107. 103 What is the distance between 3 and -66329? 66332 Subtract 620 from 0.3. -619.7 What is -5 - 31937? -31942 What is -2 plus 775.3? 773.3 0.09 - 0.4 -0.31 What is -10 minus -984.2? 974.2 What is the distance between -0.3 and -3188? 3187.7 What is -0.32 plus -286? -286.32 Sum -1 and 30.844. 29.844 Add together -0.03 and -338. -338.03 What is 33.2 + -16.1? 17.1 Add together -5 and -6723.3. -6728.3 Work out -1 - 54699. -54700 Work out 1 + -1889954. -1889953 Calculate 0 + 7594. 7594 Total of -0.091 and -43. -43.091 Put together 21 and 19397. 19418 Total of -5 and 20238. 20233 Put together -39 and 0.557. -38.443 Work out -0.2 + 10.12. 9.92 Subtract -6 from -0.505. 5.495 Work out 2 - 2021. -2019 Subtract -5 from -197.85. -192.85 What is -1.88 - 115? -116.88 Total of -534526 and -0.5. -534526.5 What is -77.4 - -0.04? -77.36 Subtract 1015 from -4. -1019 What is 1 plus -1028153? -1028152 Total of 0.29 and -401. -400.71 What is -824.676 minus 0.5? -825.176 0.19+-107154 -107153.81 Work out 1912238 + 0.4. 1912238.4 Add together 7 and 123. 130 Add together 0.092226 and 0.6. 0.692226 Work out -67 - 153. -220 What is the distance between 0.891 and 2? 1.109 What is -0.149 less than -428? -427.851 Work out 1 + 132. 133 Calculate -106 + -10.458. -116.458 Sum 0.26 and 1666. 1666.26 -0.29+7 6.71 What is 888 take away -0.622? 888.622 0.225 - -6.2 6.425 -623.3 - -24 -599.3 What is -6.98 plus 0.5? -6.48 What is -0.04 + -240718? -240718.04 Add -4 and 829. 825 -0.02 - -11049 11048.98 Work out 7184 - 0.5. 7183.5 0.5669+-5 -4.4331 What is 30 - -61856? 61886 What is -0.28 - 0.79? -1.07 Work out -0.2 - 102694. -102694.2 What is -2 + 156127? 156125 What is -115.36 less than -320? -204.64 -5 - 316 -321 Subtract 0 from 33535. 33535 Work out 349 + -0.4. 348.6 Work out 35 + -19. 16 Work out -0.212 + 25.6. 25.388 What is 712335 plus -4? 712331 What is the difference between 1.4 and -49319? 49320.4 -621264 - -0.5 -621263.5 What is 2 take away -24.6? 26.6 What is the distance between -40 and 3? 43 What is -1 + -1.778? -2.778 Calculate 0.011 - -1. 1.011 What is 304.81 + 0.4? 305.21 97.0986 - -2 99.0986 Work out 85 + 0.61. 85.61 Calculate -0.3 - 4946. -4946.3 Work out -0.689 - 5. -5.689 Work out -1378 - -0.624. -1377.376 What is -80.46 + -1? -81.46 Work out -103431 + 4. -103427 -0.09 - 179.8 -179.89 Subtract 185.3 from -3. -188.3 What is the difference between -0.384939 and 5? 5.384939 Subtract 1146.1 from -0.098. -1146.198 Add -1.034513 and -0.2. -1.234513 Calculate 25948 + 3. 25951 1 + 1606709 1606710 What is -0.409 + -0.1? -0.509 What is the distance between 11 and 1780.95? 1769.95 What is the distance between -4106 and 0.4? 4106.4 What is 0.2 take away 1.596? -1.396 What is the difference between -170 and 28? 198 What is 0.3 take away 7689? -7688.7 Calculate 93.8 - 0.2. 93.6 What is 176 - -0.29? 176.29 Sum -697 and -0.04992. -697.04992 What is 0.12 take away 4601? -4600.88 -1174+-0.5 -1174.5 What is -2105371 plus 0.5? -2105370.5 What is the distance between -13312 and 0.25? 13312.25 What is 70.21 + -0.3? 69.91 -1298242+-0.1 -1298242.1 What is 0.1 take away 0.01868? 0.08132 What is -476 less than 0.4? 476.4 Calculate -132396 - 3. -132399 Sum -0.1 and 13.151. 13.051 Sum 130 and 2.1. 132.1 Calculate -3 - 212626. -212629 Work out -0.9 - -35264. 35263.1 Add together 36 and -77. -41 Sum 61 and -1. 60 Calculate 0.014 - 35. -34.986 What is 0 minus 9.35? -9.35 What is -908 plus -12? -920 What is the distance between 4.40324 and 1? 3.40324 -1.4 - 0.87 -2.27 Subtract -5 from -6054. -6049 What is 28 less than 206? 178 0.6 - 11.613 -11.013 Total of 1092820 and 0.4. 1092820.4 -0.1 - -189.61 189.51 Total of -0.0871 and 48. 47.9129 Calculate 1.189073 + -4. -2.810927 -3194+3 -3191 Sum 18 and -270758. -270740 1.558 + -2 -0.442 What is 2449557 - 0.3? 2449556.7 Work out 641196 - 4. 641192 What is 751 less than -0.26? -751.26 What is -0.09 less than 38067.4? 38067.49 What is the distance between 427.85 and -9? 436.85 -56276 - -1.3 -56274.7 2854+-0.4 2853.6 4.2912+33 37.2912 3873 + 0.05 3873.05 What is -0.4 minus -36385? 36384.6 Work out 2.026 - 0.947. 1.079 -103+-0.0237 -103.0237 What is -65.86 plus 25? -40.86 Add 5 and 19.546. 24.546 Add together -0.2 and -1805. -1805.2 What is -0.4 minus 1.87736? -2.27736 911+-69 842 -11+-24261 -24272 Add together 0.1 and 0.0824. 0.1824 Calculate -239398 - 3. -239401 Add together 0.02 and 0.422. 0.442 Work out -102497 - -0.4. -102496.6 What is 30.93 + 0.13? 31.06 9502 - -0.5 9502.5 What is 6 plus -17.7? -11.7 What is 0.179 + 18? 18.179 Total of 7883642 and 0.2. 7883642.2 Add together 57924 and 2. 57926 Put together 69312 and 0.02. 69312.02 What is the distance between -0.0023 and 3.41? 3.4123 -0.219 + -102 -102.219 What is 477.9 take away 15? 462.9 Put together 7730 and 0.129. 7730.129 Work out 212.24 - -4. 216.24 -0.012+203753 203752.988 Sum -0.039031 and 0.043. 0.003969 Subtract -6 from 0.03667. 6.03667 What is the difference between -14628 and 0.5? 14628.5 -391826 + -6 -391832 Add together -9 and -0.12104. -9.12104 What is -0.0029 minus -4139? 4138.9971 Subtract -26 from -101.1. -75.1 What is the distance between 5 and -0.0796? 5.0796 13984 + -3 13981 Sum -0.05 and -1420. -1420.05 What is the distance between -148 and 842? 990 Calculate 0 + -439.711. -439.711 What is -1 - -9.2689? 8.2689 Calculate 92517 + -8.1. 92508.9 Work out 4 - -526. 530 What is the difference between -7 and -0.1085? 6.8915 Work out 3318 - 0.068. 3317.932 Total of -138076 and 0.4. -138075.6 Work out -0.2 - 86945. -86945.2 Calculate -0.1826 + -2.9. -3.0826 What is 50 less than 32? -18 What is the difference between 0.014 and 2.36? 2.346 25086 - -6 25092 What is -308 less than 0.1? 308.1 Add 3 and -0.222. 2.778 Work out -4149 + 0.7. -4148.3 55 + 282.7 337.7 What is 426 less than -753? -1179 Total of 829.6 and 0.718. 830.318 What is the difference between -13583 and -1? 13582 -747.8+6 -741.8 Subtract -0.85 from 114.7. 115.55 6 + 0.12 6.12 Add 172.82 and -0.4. 172.42 What is -4 + -23.19? -27.19 1556+-0.2 1555.8 What is -23 take away -2.219? -20.781 What is the distance between -1480 and 0.6? 1480.6 What is 39935 less than -1.72? -39936.72 4+-24097 -24093 Add together -0.2 and -152.948. -153.148 -350.88 + 0.4 -350.48 Add together 5 and 195.333. 200.333 Work out -2 + -14. -16 What is the distance between 4695 and 0.5? 4694.5 125 + 55 180 Total of -44 and -241. -285 383751+-11 383740 Work out -325 - -8. -317 0.5+-733.5 -733 Total of -0.1 and -30085. -30085.1 Add together 0.11 and 604. 604.11 Sum 106 and 0.83. 106.83 -1676 + 1 -1675 What is the distance between 603370 and 0.1? 603369.9 Subtract 2.902 from 0.0185. -2.8835 Subtract 33250 from -0.4. -33250.4 Calculate 861 - -0.5. 861.5 Work out 3.4 - 3490. -3486.6 What is the distance between -10.1 and -3541? 3530.9 Total of 10 and 6369.6. 6379.6 What is the distance between 15696 and 0.05? 15695.95 Total of -145.73 and 0.2. -145.53 Add -2 and -648.1. -650.1 4 + 185765.5 185769.5 What is -1281 - -5891? 4610 Calculate 0.36 - -5. 5.36 What is -22.73 - -12.4? -10.33 Calculate 27.7 - 0.4. 27.3 What is -1081 - 49.6? -1130.6 Calculate 3.5 - 56. -52.5 Calculate -0.14 - 341. -341.14 What is 0.137 less than 2002? 2001.863 Subtract -1 from 0.4068355. 1.4068355 Sum -5 and 28255. 28250 Total of -949.42 and 0.4. -949.02 0.3+72342 72342.3 What is the difference between 4 and -0.6? 4.6 Add 32228 and -0.9. 32227.1 What is -0.0936 take away 115? -115.0936 What is 7 plus 18997? 19004 Subtract -5 from -6033260. -6033255 -1815 - -5859 4044 Calculate 0.0332156 + 5. 5.0332156 What is the distance between 54.7 and -0.7? 55.4 What is 0.06 + 7292? 7292.06 What is -518 plus -0.0215? -518.0215 Total of -606 and -0.048. -606.048 What is the distance between -4.044 and 0.4? 4.444 Total of -1.187 and -0.4. -1.587 Calculate 0.1813 - -2. 2.1813
Solve 5*q + 15 = -2*b - 0*b - 1, -18*q + 6*q + 1269 = -10*q + 183*b for q. -6 Solve 119*i + 2747 = -5*c, -5*c - 80*i + 13 = -81*i for c. -2 Solve 7*z - 14 = 132*c - 130*c, -2*c - 42 = 0 for z. -4 Solve 64*m - 66*m + 4*a = 24, -m - 28 = 2*a for m. -20 Solve 0 = -539*o + 537*o - a + 46, 0 = 4*a - 152 for o. 4 Solve 0 = f + 2*z - 6 - 22 + 12, -4*f - 4*z = -48 for f. 8 Solve -4*g = -5*f - 75, -4*f - 8736*g + 8733*g + 20 - 57 - 23 = 0 for f. -15 Solve -4*m + 106 = -2*m - 3*f, -46*m = 457*f - 459*f + 108 for m. -4 Solve 12*s - 3*k = 8*s + 160, 0 = -3*s + 9*s - 9*s + 4*k + 204 for s. 4 Solve 12*c - 10*c - 10 = -0*q + 4*q - 38, 114 = 26*q + 4*c for q. 5 Solve 2389668*d - 2389670*d = 2*q + 24, -5*d - 18 = -q for q. -7 Solve -9315 = -2*a - 18*l - 9403, 5*a + 10 = -3*l for a. 1 Solve -2*o = -3*o + 2*x - 10, -533*o + 536*o - 74 = -20*x for o. -2 Solve 69 = l - 2*q - 55 + 108, -67 = -22*l + 5*q + 12 for l. 2 Solve -2*n + 2*k + 2*k - 178 = 0, 55*n + 5*k = 51*n + 203 for n. -3 Solve 114*g - 19 + 3 = 3*f + 60*g + 55*g, -11*g = 3*f + 86 for f. -3 Solve 7*o - 37*i = -38*i + 30, -3*o + i - 168 = -178 for o. 4 Solve 3*p = 2*l - 5, 34*p + 16*l + 20*l + 21*l - 60*l = -155 for p. -5 Solve b = 27*y - 538, 0*y + 5*y + 4*b = 7*y - 5*y + 68 for y. 20 Solve 0 = 4*x - 3*j - 90, 4*j + 185 = 11*x - 217 + 282 for x. 0 Solve 0 = -x + 4*b - 2 + 4, -3*x - 4*b = -0*x + 10 for x. -2 Solve -3*d - 3*d - 2*d - 141 = -9*z, 0 = 5*d - 2*z + 99 for d. -21 Solve 46 = -5*u + 4351*f - 4355*f, -2*f - 45 = 3*f for u. -2 Solve 5*c - 5*g = -25, -727*c - 15 = -730*c - 3*g for c. 0 Solve 76 = -20*q - 3*i, 0 = -8590*q + 8593*q - 5*i + 55 for q. -5 Solve 8820*u = 2*p + 8818*u - 148, 0*p - 7*p - 3*u - 252 = 0 for p. -3 Solve 20*d - 8*z + 4*z = -99*d - 298, 4*d - 5 + 88 = 5*z for d. -2 Solve -14*z - 26 = 3*a - 18*z + 77, -23 = 11*a - 2*z for a. 3 Solve -92 = 3*o - 110, -4*d + 15 = 2*o + 11 for d. -2 Solve 0 = -5*m + 5*d - 65, -564*m + 237 = -585*m + 12*d for m. -9 Solve 900 = a - 314*u, -14291*a + 14295*a + 156 = 4*u for a. -42 Solve -1234*j + 1 = c - 1233*j - 1, 17*j + 46 = 3*c for c. 4 Solve 0 = 4*a + 90*g - 89*g - 27, -7*a - 5*g = -96 for a. 3 Solve 284 = -b + g + 281, -36*g + 145 = b for b. 1 Solve -135*r + 396*r - 123*r + 5*v = 4825, -v + 279 = 8*r for r. 35 Solve g + 19 + 7 = 2*q, 0 = 8*q + 1570*g - 1575*g - 106 for q. 12 Solve 5829*g = 5825*g - 3*b - 53, g = -b - 16 for g. -5 Solve 0*n + 4*a + 2476 = -4*n + 2512, n - 2*a = 12 for n. 10 Solve -11920*a - c = -11916*a - 26, -2*a = -3*c + 50 - 14 for a. 3 Solve -42*k + 34*k = -2*o - 146, -7*o - 4*k + 8 + 35 = -2*o for o. -5 Solve -535*l + 4*t - 236 = -539*l, 0 = l + 17*t - 1003 for l. 0 Solve 0*a - 2*a - 18 = -13 - 9, 0*a - 4*a = -5*j + a + 35 for j. 9 Solve 0 = -69*t, -3*g - 40*t = g - 5*g - 74*t + 39*t + 5 for g. 5 Solve -3*w + 179*o + 817 = -253*o - 1316, 5*o = 2*w - 7 for w. -9 Solve r + 4*t = 3*r - 28, 2*t + 46 = -302*r + 307*r - 4*t for r. 2 Solve 2*h + 3*h = h + k + 18, -k - 9 = -3*h + 2*k for h. 5 Solve -4*c + 136 = 28*l + 10*l, -2*c - 3*l = -0*c - 4 for c. -4 Solve 0 = -13*b - 5*c - 20, 2*b - 4*c + 4*c + 2 = -b - c for b. 5 Solve 22*x + 3883 = -4*j + 1977 + 2082, -x - j = -44 for x. 0 Solve g = 2*n + 19, 2*n - 5*g + 100 = -0*g - 3 for n. 1 Solve -4*w - 229 = 11*q, -329*w - 80 = 5*q - 115*w - 107*w - 110*w for q. -19 Solve 5*m + 5*d + 55 = 5, 75*m - 70*m + 20 = -2*d for m. 0 Solve -930 = 50*r + 4*l, -3*r + 4*r - 3*r - 91 = 2*r - 3*l for r. -19 Solve 12*p - 10*u = -7*u + u + 52, -2*p = -4*u - 62 for p. -1 Solve 0 = v - 4*b - 440 + 516, -v - 6*v - 5*b = -128 for v. 4 Solve 55853*o - 55853*o - 3*j = -1 + 10, -5*j = -4*o + 55 for o. 10 Solve -o - 2231 = 2*o + 33*s - 2564, -o - 3*s = -31 for o. 1 Solve -72 = -4*z - 21*t, 29*t = -4*z + 6*z + 20*t + 42 for z. -3 Solve 1799*w = -5*h + 1795*w - 44, -1505 = 188*h + w for h. -8 Solve -2*r = 46936*o - 46932*o + 42, -8*o - 102 = 10*r for o. -9 Solve -2*o + 29*j + 33 = 0, o + 264 = 4*j + 228 for o. -56 Solve -4*u - 82 = -3*n - 71, -1116*n - 2*u = -1121*n + 9 for n. 1 Solve 4*h - 80 = 2*h + 7*h + 4*t, 97*t - 98*t = -5*h - 55 for h. -12 Solve -2*p + 509*y - 507*y = -6, -18 = -6*p + 5*y for p. 3 Solve 0 = 213*j - 3*n - 990, -7812*n + 7815*n + 130 = -2*j for j. 4 Solve -28 = -4*x - 5*q, -182*x + 224*x + q + 118 = 0 for x. -3 Solve -70 = 14*g + 4*k + 44, 107495*k - 107494*k = -g - 11 for g. -7 Solve 0 = 217*j - 235*j - 4*f - 94, -17*j + 10*j + 4*f = -9*j - 110 for j. 1 Solve 0 = -17*z - 0*z - q + 40, -2*q + 18 = -462*z + 465*z for z. 2 Solve -4*b + 18 + 45 + 7 - 10 = 5*y, 5*b = -4*y + 57 for y. 8 Solve 4327425 = 7*w - 2*w + 4*f + 4327475, -48 = -w + 5*f for w. -2 Solve 7*f + f - 8*z - 85 - 3 = 0, -3*f - 21 - 10 = 5*z - 0 for f. 3 Solve 3*j - x - 210 = 10*j - 0*x, 11*j - 3*x - 12 + 342 = 0 for j. -30 Solve 3*i + 3*g + 45 = 0, 5*g - 743 = 4*i - 701 for i. -13 Solve -3 = -d - 0 + 2, 30*t - 19*t + 4*d = 174 for t. 14 Solve -4*r - 127311 + 127331 = 0, -z = r - 8 for z. 3 Solve 2*k - 50 = -4*i, -2*i = 12290 - 12298 for k. 17 Solve 5*m + 3*y - 1518 = -1556, -40 = -3*m + 3*y - 10 for m. -1 Solve 9*k = 4*q + 9, 35 + 40 = 3*k + 3*q + 72 for k. 1 Solve 3*l - 38 = 5*r, 64*l = 58*l - 27*r + 28*r + 67 for l. 11 Solve 0*f + f + 16 - 54 = 6*h, -2*f + 223 = -27*h - 6*h for h. -7 Solve 6*o + 126*f - 45*f - 39*f = 44*f - 210, 0 = 4*o + 2*f + 130 for o. -34 Solve 12 = -m - 3*m, -231*m + 227*m - 23 = 5*t + 9 for t. -4 Solve -8 = 4*m - 2*l, -2*m - 809*l = -807*l + 22 for m. -5 Solve 2*n = 6*v - v - 8*v + 98, -3*v + 3*n - 83 = 49 for v. 2 Solve -6 = -t - 9*t - 3*m, t - 856 = 3*t - 2*t - 4*m - 808 for t. -3 Solve -75*r + 70*r - 225 = -2*v + v, 157 = 5*v - 3*r for v. 5 Solve -26 = 59*o - 42*o - 6*l + 168, 4*o = l - 14 - 13 - 17 for o. -10 Solve r - t = 39, -3*r + 42*t + 41*t = 134*t - 43*t - 172 for r. 44 Solve -12*w + 5*m - 66 = 46, -22*m = 3*w - 19*m + 45 for w. -11 Solve -560*z + 565*z - 176 = 2*x, 3*z + 14 - 128 = -3*x for x. 2 Solve 3*y + 163*p - 158*p + 83 = 0, 7*y - 3*y + 9*p + 148 = 0 for y. -1 Solve -9168*i = -9173*i - 4*j - 18, 3*i = 3*j for i. -2 Solve -21*k - 7*c = -23*k - 112, 4*k - c + 16 = 0 for k. 0 Solve -5230*r + 5225*r + 3*t - 16 = 0, 3*r + 16 = 5*t for r. -2 Solve y = -21*b + 73, -14*b + 12*b + y + 2 = 2*b - 25 for b. 4 Solve 0 = -1903*j + 3808*j - 1901*j + 2*d - 60, 2*j + 5*d - 38 = 0 for j. 14 Solve 0 = -3*v - 19*c - 0*c - 874, -7*c - 203 = -4*v - 2*c + 27 for v. 0 Solve -16*x + 19*x = -25*j + 29*j - 4, 13*j = 4*x - 33 for j. -5 Solve -8*m = 5*g - 0*g + 149, 4*g + 1 = -2*m - 39 for g. -1 Solve -33*t = 4*i - 37*t + 48, 2*i + 5296*t = 5301*t - 36 for i. -8 Solve 0 = -5*m - 4*t - 15, 613*m - 6 = 615*m - 2*t for m. -3 Solve 2*g - 2*q - 112 = 0, -286 = -2*g - 2959*q + 2964*q for g. -2 Solve 2*s = 5*h - 9, -619607*h = -619608*h + 2*s + s + 33 for h. -3 Solve -4*q = s + 173 - 151, -4*s = 32*q + 152 for q. -4 Solve 2*c + n + 1 = 0, 2*c - 3*n = -566425 + 566396 for c. -4 Solve -4*x + 13 = -5*h, 2137*x - 3*h = 835*x - 3891 for x. -3 Solve -4*j - j + 35 + 0 = 5*r, -187 = 3*r - 5*j - 120 for r. -4 Solve u + 53 = -4*r, -175*r + 170*r - 131 = 3*u for r. -4 Solve 2 + 1 = o + 3*j - 1 - 3, 4*j - 14 = -2*o for o. 7 Solve -5*x + 2 = -2*i - 9, 1899 = 3*x + 8*i + 1920 for x. 1 Solve 5*g + 183 = -v, 24268 = -3*v - g + 24237 for v. 2 Solve -32 = 5*k - 2*r, k - 131393*r = -131396*r + 31 for k. -2 Solve -45*y - 26*y - 39 = -68*y - l, 3*y = 22*l + 24 for y. -14 Solve -25*h + 115 - 110 = 5*v, 413*h - 418*h - 35 = -5*v for v. 6 Solve h + h + 18*h = -5*x + 570, 0 = -8*h - 3*x + 226 for h. 29 Solve -2*y - 252*j = 2*y + 3029 + 263, 81 = -4*y - 5*j for y. -4 Solve -374549*w + 374547*w + f + 40 = 0, 0 = w - 4*f - 27 for w. 19 Solve 52*a - 4*x = 56*a - 48, -606 = a - 2*x - 594 for a. 4 Solve -5*d - r - 1 = 0, -306*r = 3*d + 646 - 340 for d. 0 Solve 5*l + 1 + 1 = 7, -76*a + 2*l + 14 = -75*a + 6*l + l for a. 9 Solve 4*a - 4960*o + 2478*o - 69 = -2479*o, 7*a + 2*o - 99 = 0 for a. 15 Solve -6195*t + 6198*t = 5*c - 75, 16*c + 5*t + 52 = 0 for c. 3 Solve -4*r - 17 = 5*d, -103*d + 98*d + 5*r = 5*r - 8*r + 41 for d. -5 Solve 7*h + 34 = -174*j + 170*j, 4*h = 13*j + 180 - 16 for j. -12 Solve -15*u = -4*s + 140, 5*s - 215*u - 88 = -218*u for s. 20 Solve 5*k + 13*c + 11 = 0, 2*c = 3*k + 4*c - 53 + 48 for k. 3 Solve -2*o = -334*h + 330*h + 24, -7*h = -2 + 9 for o. -14 Solve f + 2*w - 1 = -0*w - 3, -324*w - 8 + 10 = -f for f. -2 Solve -5*k + 11 = -4*f, -25*f + 6*k = 11*k - 40 for f. 1 Solve 7 = 5*v - t, -31*v + 205*t - 24 = 207*t + 31 for v. -1 Solve 4*f - 51*t - 137 = -54*t, 0 = 112*t - 336 for f. 32 Solve 0 = -4*r + 5*w - 55, 3*r + 4304*w = 4342*w - 281 for r. -5
Let w be ((-476)/612)/((-9)/4). Is 0 at least w? False Let v be 8/(-32) + 17/4. Suppose r - 4*z = -25, 4*z - 16 = v. Let y(p) = -p - 3. Let x be y(r). Which is greater: x or 30/11? 30/11 Suppose -64 = -5*l - 5*u - 269, 5*u - 165 = 5*l. Does l = -36? False Let i = -14 - -11. Let a = -4 - i. Which is bigger: a or 3/14? 3/14 Suppose 11*y - 4 = 13*y. Let f be y/3 + 3/(180/64). Is -1 bigger than f? False Let n(k) = k**3 + 7*k**2 - 95*k + 17. Let g be n(7). Is 38 not equal to g? False Suppose 0 = 7*d + 827 + 559. Let y be (-580)/d + (-16)/(-88) - 2. Which is bigger: 1 or y? y Suppose -5*j + 10*j + 5*m = -45, 0 = 3*j - 2*m + 7. Let r be -1 + 15 + j + 3. Suppose 3*k = -0*k - r. Is -4 less than or equal to k? True Let i = 0.1 + 14.9. Let x = 13 - i. Is 1 > x? True Let p = 32/41 - 1483/902. Which is greater: p or 0? 0 Let q = 35 + -20. Let n = -15.15 + q. Let s = -0.22 - n. Which is smaller: s or 0? s Let d = -26.9548 + -0.0452. Which is bigger: d or -0.12? -0.12 Let b = -2.42 + 7.42. Is b smaller than 14? True Let z = 0.7 + -2.84. Let k = -11 - -11.14. Let h = k + z. Which is smaller: -0.5 or h? h Let x be (5 - 4)*11/(-2354). Is x smaller than 1? True Let t be (-27522)/24 + 4 + -1. Let g = t + 31793/28. Which is greater: -9 or g? g Suppose 4*v - f = 2*v - 394, 2*v = -3*f - 386. Let r be ((-388)/v + -2)*-2. Is 0 greater than r? False Let w be (-13)/26*(-12)/2. Suppose -25 = w*s - 97. Suppose -s = -2*o + 6*o. Do o and -2/5 have the same value? False Let p(d) = d**2 + 8*d - 184. Let h be p(-28). Is h < 373? False Let y = 1594/7 + -228. Are y and -4/147 unequal? True Let r = -26.5 - 2.7. Let f = -29 - r. Is -0.06 greater than or equal to f? False Let w be -28*2*(-4 + 3). Let n = w + -104. Which is greater: n or -47? -47 Let g be -11 - (119/(-28) - (-1)/4). Let o = -35 - -37.1. Let d = 2 - o. Which is smaller: g or d? g Let u = -50.975 + -0.025. Let q = u + 51. Is q equal to -1? False Let t = -57497554/3249 - -17697. Which is smaller: t or 0? t Let t = -244 + 244.4. Which is bigger: -16 or t? t Let p(j) = 5*j**2 + 11*j + 19. Let g(f) = f**2 - f + 1. Let w(r) = -4*g(r) + p(r). Let a be w(-13). Suppose x - 18 = 3*x. Which is greater: x or a? x Let t = 57/20 + -13/4. Let s = -352 - -593. Let k = 1925/8 - s. Is k greater than or equal to t? True Suppose -42*s + 28 = 28. Are 2/539 and s non-equal? True Suppose -b = -3*g - 0 - 6, -4*b + 4 = -2*g. Suppose b = 8*p + 2*p + 80. Which is smaller: p or -7? p Suppose -4*g = -430 - 78. Let j = g - 128. Which is smaller: j or -7/16? j Let g be 1210/(-6468) + 1/6. Do 0 and g have the same value? False Suppose 56 = -9*m + 17*m. Suppose -12 = 3*r - 5*s, -3*s = 2*r - m*r - 4. Do r and -2/163 have different values? True Suppose -47*v + 52*v = 30. Suppose 68 = v*o - 2*o. Which is bigger: 18 or o? 18 Let w = -5.227 + 5.4. Let c = 0.027 + w. Are 0.02 and c equal? False Let w be (9/(-1))/(3/(-2)). Let b(j) = j**2 + 14*j + 38. Let v be b(-10). Let a be v + 1 + w + -3. Is a > 12/7? True Let j be ((-9)/4)/(9/(-6)). Let k be 1/(((-1)/4)/(-1)). Suppose -k*a + 6 + 6 = 0. Is j equal to a? False Suppose -80 = -383*x + 378*x. Which is smaller: 14 or x? 14 Let v = -3 + 4. Let u be (49 - 6)*(v + 0). Is u != 43? False Let m = -589 + 588. Which is smaller: -17/43 or m? m Suppose 3*j = -4*v + 67, -v + 0*j + j + 22 = 0. Suppose -5*m - 47 = -3*f, 2*m + 44 = 2*f + 5*m. Are v and f equal? True Let s be (-66)/9*3/(-4). Let r(k) = 7*k**2 + 2*k + 1. Let t(v) = 2*v + 13. Let o be t(-7). Let l be r(o). Which is smaller: s or l? s Suppose -4*j + 7*v = 5*v + 22, 2 = j + 2*v. Is j != -3? True Let x(j) = j**2 + 44*j - 1. Let r be x(-44). Is -5/11 greater than r? True Let p be ((-20)/12)/((-3)/18). Suppose -5*m + 14 + 56 = 0. Let q = p - m. Which is smaller: q or -1? q Let i be (5 + -6)/((-2)/14). Let d = -4 + i. Suppose 3*c + 0*c + y - d = 0, 0 = c + 2*y + 4. Do c and -0.4 have different values? True Let c = 24 + -20. Suppose -3*f = -3*v - 5*f - 3, c*f = -v + 9. Let q be 2 - 4 - (1 + 1). Which is greater: v or q? v Let i(n) = 6*n**2 + n + 2. Suppose h + 5 = 3. Let y be i(h). Suppose -2*f = -u + 13, y = 3*u - 2*f - f. Which is greater: 2 or u? u Suppose -6*d + 192 - 60 = 0. Which is smaller: d or 23? d Let x be (1*-1)/((-5)/40). Let y be (-3)/3 + (-5)/(-3)*21. Let s be 4 + -8 + y/x. Is s greater than or equal to -1? True Let d be 7/(3 - (3 + 1)). Let t be (d + 3)*(-18)/456. Which is smaller: -1 or t? -1 Let u = -30 + 32. Suppose -u*s - 1 = 9. Let p be ((-6)/s)/(20/25). Which is bigger: p or 1? p Let q = -45/14 + -191/7. Let h = q + 29. Let a = -1 - -1. Is h equal to a? False Suppose -8*n = 4*p - 4*n, -5*p + 3*n = -16. Let o(y) = 2*y**3 - 1. Let k be o(p). Is k bigger than 14? True Let j(x) = -12*x + 15. Let i be j(1). Is i > 0.26? True Let h be (3/(27/(-6)))/((-2)/9). Let k be (-1)/(6*h/1674). Is k < -92? True Let r be ((-14)/(-35))/(-1*(-1)/65). Is 25 less than or equal to r? True Suppose -8*j + 20*j - 6*j = 0. Is j bigger than -1/119? True Suppose 5*y = 2*x - 225, y + 0*x = -3*x - 45. Let n(v) = 2*v**2 + 83*v - 175. Let c be n(-43). Which is greater: y or c? y Suppose -9*u = 4*f - 10*u - 4, -2*u = 4*f + 8. Is f bigger than -6/179? True Suppose 0 = -2*u - 2*u - 5*m - 21, 0 = -m - 1. Let i be -106*u/(-88) + 1. Which is smaller: i or -5? -5 Let a = -1.04 - -2.94. Let x = -21 + 20.1. Let u = x + a. Is -2 less than or equal to u? True Let d be (1*-2)/(3/(-6)). Suppose -v + 2*v - d*k = -15, -3*v + 20 = k. Let o be (-2)/v - 2/(-5). Which is smaller: -2/11 or o? -2/11 Let m = 18.8313 - 0.4413. Let i = m - 0.39. Which is smaller: 1 or i? 1 Suppose 337 = 7*d + 1765. Is -204 < d? False Let m be 4/(-42) - (5131/(-147))/(-1). Which is smaller: -244/7 or m? m Let f(a) = -a**3 - 4*a**2 + a + 3. Let r be f(-4). Let g = r + 6. Suppose g = 3*o + 14. Are 0.1 and o unequal? True Suppose -95*n + 66 = -101*n. Do n and -3 have the same value? False Let y(g) = -g - 5. Let r be y(-8). Suppose 0 = -r*c - c. Let v = -0.24 + 2.24. Which is smaller: v or c? c Suppose 3*r = -0 + 6. Let b = 2122 + -180367/85. Let q = 361/595 - b. Is q at most as big as r? True Suppose 5*i + 6 - 16 = 0. Let j = -8 - -9. Suppose j = -2*t + 3. Does i = t? False Suppose -2*t - 2*g + 848 = 0, -76*g + 10 = -81*g. Is t != 426? False Let q = -1 + 9/8. Let a be ((-2)/(-2))/(1/10). Suppose 9*k = a*k. Are k and q unequal? True Let w be (2698/(-8))/(1*2/5). Let i = -842 - w. Which is smaller: 2 or i? i Let v = 16 - 14.8. Let s = v - 2.3. Let p = s - -1.1. Which is bigger: p or 0.09? 0.09 Let r = -480 - -1418/3. Is 0 not equal to r? True Suppose 4*i = -i - 50. Let b be 4/i - (66/(-15) - -5). Is 4/41 greater than b? True Let r be ((-9)/6)/((-9)/(-24)). Suppose -36 = 6*j + 12. Which is bigger: j or r? r Let o = 0.42 + -0.12. Is o <= -4? False Suppose -4*w = -9*w + 5. Let c be (w/4)/((-168)/64 - -2). Let l be (-6)/27 - 13/9. Are c and l equal? False Suppose 0 = 6*r - 2*r - i - 845, 2*r = -5*i + 417. Is r smaller than 634/3? True Suppose -2*f - 36 = 2*f + 2*l, -2*l - 20 = 2*f. Suppose 0 = -2*n + 8*n + 36. Which is bigger: f or n? n Let r = 2.935 - 0.335. Is r at least -0.3? True Let v be (0 - 4/(-26)) + 1720/988. Is 3 bigger than v? True Let q be (-16)/(-11) + 1 + -3. Let m(u) = -4*u**3 + 3*u**2 + 2*u. Let x be m(-1). Suppose 6 = -x*w + 1. Is q equal to w? False Let b(w) = 10*w + 15. Let i(t) = 7*t + 10. Suppose 5*k + 3*a = 23, 2*k + 1 = 5*k + 5*a. Let d(c) = k*i(c) - 5*b(c). Let u be d(-9). Is 2 > u? False Let v(y) = 563*y**2 + 9*y - 9. Let r be v(1). Is 0 greater than or equal to r? False Let l(r) = -r - 3. Suppose 0*m - 65 = -5*m. Let x be (-54)/m + (-4)/(-26). Let i be l(x). Is -1/3 bigger than i? False Let t be 684/(-2128)*26/(-3). Is t at most as big as 4? True Let i(p) = -p**2 + 14*p + 26. Let b be i(11). Suppose 0 = -5*w - t + 286, -3*w - t + 3*t = -182. Is b at most w? False Suppose 2757 = 22*d - 27*d - b, 3*b = -5*d - 2761. Is d < -552? False Suppose 0 = q + 2*i + 2, q = 2*q - 3*i - 3. Which is bigger: q or 141? 141 Let v be 138/30 - (-2)/5. Suppose -v*x - 282 = -77. Which is greater: x or -40? -40 Suppose -2*g + u = -5, -13*g + 9*g - 2*u = 10. Let b be -1 - 1 - (g - 168/68). Which is greater: 0 or b? b Let w be -2 - ((-12)/20 + -1). Let h = 0.98 - -1.02. Are h and w nonequal? True Let f = 1017 + -1016. Let p be (16/6)/((-3)/9). Let b be 3/(-36)*p/(-3). Is f != b? True Let b = 641509/38 - 16883. Is b != -1? True Let w be 822*((-1)/(-5))/(15/(-25)). Which is smaller: w or -273? w Let k = -400 + 390. Is k > -1/3? False
Expand (-b**3 - b**3 + 0*b**3)*(b + 3*b - 2*b) - b**3 + b**3 + 2*b**4 - 6*b**4 - 13*b**2 + 13*b**2. -8*b**4 Expand (2 - 1 + 3)*(-36*m + 31*m + 224*m)*(5*m - m - 2*m). 1752*m**2 Expand (6 - 4 - 3)*(0*j**5 + j**5 + 0*j**5) - 129*j**5 + 14346*j**2 - 14346*j**2. -130*j**5 Expand (-3*c + 4*c + c)*(9 + 471 + 736). 2432*c Expand (6 + 0 + 14)*(-2 + 4 + 3)*(-5*c + 3*c + c). -100*c Expand (-1 + 2 + 3)*(1 + 1 - 4)*(-d - 2*d + 8*d) + (-2*d + 3 - 3)*(2 - 1 + 0) + 0 + 0 - d - 4*d + d - 2*d. -48*d Expand (-3*a + 3*a - 2*a)*(1 + 0 + 1)*((-3*a + 0*a + 2*a)*(4 - 1 - 1) + 2*a - a + 0*a - 2*a + 0 + 0). 12*a**2 Expand ((0 + 4*w + 0)*(2*w + 4*w + 3*w) + (-2*w + w + 0*w)*(4*w - w - 5*w))*(-1 + 1 - w). -38*w**3 Expand (-k - 5 + 5)*(7*k - 5*k - 3*k) + (2 + 7 - 3)*(-6*k**2 + 4*k**2 + k**2). -5*k**2 Expand n - 68*n**2 + 15*n**4 + 68*n**2 + n**4 + 2*n**4 + n**4 + (-4*n + 3*n + 2*n)*(3*n**2 + 7*n**3 - 3*n**2). 26*n**4 + n Expand (81 - 81 + 2*j)*(-16 - 16 + 34 - 4*j). -8*j**2 + 4*j Expand ((0*m**2 + m**2 + 0*m**2)*(m - 2 + 2) + m**2 - 2*m**3 - m**2)*(0 - m + 0) - 3*m + 3*m + 2*m**4 + (2*m**4 - 4*m**4 + 3*m**4)*(0 + 1 + 1). 5*m**4 Expand (-6*j**2 + j**2 + 2*j**2 + (-j + 2*j + 0*j)*((-6*j + 3*j + 2*j)*(2 - 1 - 4) - j + 4*j - 5*j))*(-3*j + 0*j + 2*j). 2*j**3 Expand (-5413 + m**2 + 5360 + 2*m**2)*(4*m - 4*m - 2*m). -6*m**3 + 106*m Expand (k + 0*k + 0*k)*(0 + 1 + 2)*(0*k**2 + k**4 + 0*k**2) + 271*k**3 + 33*k**5 - 271*k**3. 36*k**5 Expand (a**3 - 5*a**3 + a**3)*(7 - 63*a - 7 - 384*a). 1341*a**4 Expand (3*d - d + d)*((0 - 2*d + 0)*(1 - 4 + 2) + 549*d + 1424*d - 399*d + 512*d). 6264*d**2 Expand (2*c**2 - 5*c**2 + 4*c**2)*(-3*c - 5*c**2 + 3*c). -5*c**4 Expand (-46 + 46 - 20*q**4)*(-q - 2*q + 4*q) - 47*q + 2*q**5 + 47*q. -18*q**5 Expand (2*q**4 + 0*q**3 + 0*q**3)*(-33 + 153 - 69). 102*q**4 Expand -5*o**4 + 3*o**4 + 3*o**4 + (2*o + 0 + 0)*(3*o - 2*o**3 - 3*o) + (0*o - o + 5*o)*(-o**3 - 5*o**3 + 0*o**3). -27*o**4 Expand (-3*s - s**3 + 3*s)*(222*s**2 - 561*s**2 + 203*s**2). 136*s**5 Expand (3 + 6 - 2)*(3*k - k - k) + 0*k + 0*k - 3*k + (0 + 1 - 5)*(2 - 2*k - 2). 12*k Expand (-3*j**3 + 2*j**3 + 5*j**3)*((-2*j + 11*j - j)*(1 - 4 + 1) + (2*j + 0*j - 4*j)*(1 + 1 - 3)). -56*j**4 Expand 15*f - 4 + 2 + 0 + 2 + (0 - 18 - 3)*(0 + 0 + 2*f). -27*f Expand (3 + 4*o - 3)*(-3*o**4 + 3*o**4 + o**4)*(106 + 178 - 499). -860*o**5 Expand (5*z - z - 2*z)*(-3 - 5 + 2) - 3*z + 4*z - 20*z. -31*z Expand (-135*w**3 - 74*w**3 - w**3)*(-w**2 + 2 - 1 + 1). 210*w**5 - 420*w**3 Expand (-4 + y + 4)*(561*y**4 - 289*y**4 - 286*y**4) - y**5 + 0*y**2 + 0*y**2. -15*y**5 Expand -11*b**3 + 11*b**3 + 2*b**2 + 7*b**3 + (b**2 - 3*b**2 - b**2)*(2*b + 0*b - b) + 3*b**3 + 0*b**3 + 2*b**3. 9*b**3 + 2*b**2 Expand (-16 + 18 - 13 + (1 + 3 - 2)*(-3 + 1 + 0) - 5 - 3 + 5)*(g - g + g**2). -18*g**2 Expand 3 - o - 3 + 0*o - 4*o + 2*o + (0 + 0 - o)*(-3 + 2 + 2) - 1 + 2*o + 1 + (-7 + 1 - 11)*(22*o + 21 - 21). -376*o Expand -14*i**3 - 11*i**3 + 7*i**3 + (2*i**2 - 1 + 1)*(4*i - 4*i + 2*i) + 2*i**2 - 2*i**2 - i**3 + 2*i**3 - 2*i**3 + 2*i**3. -13*i**3 Expand 27*q**2 - 27*q**2 + 10*q**5 - 248*q**4 + 248*q**4 + 10*q**5 + (-q**2 + 0*q**2 + 3*q**2)*(q - q - 2*q**3). 16*q**5 Expand (-7 + 3 + 2)*(-11*s**2 - 4*s**2 - 13*s**2 - 20*s**2 - 10*s**2). 116*s**2 Expand (7 - 1 - 2)*(-3*y**2 + 7*y**2 - y**2)*((-1 + 1 + 1)*(2*y + 3*y - 3*y) + 2*y + 3 - 3 - 3*y - 2*y + 2*y + (-2*y + 2*y + y)*(-3 + 3 + 2)). 36*y**3 Expand (-22*n + 832 - 832)*(1 - 4 + 2). 22*n Expand 3*o**3 + o**3 - 6*o**3 + 2*o**2 + (0*o**2 + 0*o**2 + 4*o**2)*(7*o - 2 + 2) + (o + 0*o + 0*o)*(-o**2 - 2*o**2 + o**2). 24*o**3 + 2*o**2 Expand (4 + 3 - 5)*(-5*u**5 + 0*u**5 + 3*u**5) + 1669*u**5 - 1667*u**5 + 6*u**4 + 2*u**4. -2*u**5 + 8*u**4 Expand 4*r - 4*r - 3*r**3 + (-r + 0*r + 2*r)*(-1686*r - 10*r**2 + 1686*r) + 2*r**3 - r**3 + r**3. -11*r**3 Expand (-4*g + 5*g + 0*g)*(-65 - 123 + 120)*(-g + g + 3*g). -204*g**2 Expand (5*l**2 - 4*l**2 + 0*l**2)*(6 + 12 + 42) + l**2 + 0*l**2 - 5*l + 2*l. 61*l**2 - 3*l Expand (-3*t**3 + 5*t**3 - 3*t**3)*(0 + 5 + 51) - 134*t**2 - 6*t**3 + 134*t**2. -62*t**3 Expand (-5*i - 28*i + 80*i)*(2 - 2 - 2*i)*(0*i + 5*i - 4*i). -94*i**3 Expand (-6*q**3 + 62*q**3 - 5*q + 6*q)*(-4*q**2 - 2*q**2 + 4*q**2). -112*q**5 - 2*q**3 Expand -228*b**4 + 67*b**4 + 55*b**4 - 3*b**4 - 3*b**4 + 7*b**4 + (-2*b**2 + 0*b**2 + 0*b**2)*((0 + 0 + b)*(-4*b + 2*b + 4*b) + 0*b**2 - b**2 + 5*b**2). -117*b**4 Expand -3*q + q + 3*q + (-4 + 1 + 1)*(2*q - q + q) + 2*q + 3*q - 3*q - q - 9*q - q + (-1 - 2 + 2)*(-5 + 2*q + 5) + 8*q - 3*q - q. -10*q Expand (0 - 2 + 4)*(4*y**4 - 1 + 1)*(14*y - 46 + 93 - 48). 112*y**5 - 8*y**4 Expand (2*f - f + 2*f)*(8*f - 25*f + 11*f)*(7 + 0 - 3). -72*f**2 Expand d**5 + 3*d**5 + 2*d**5 + 4 - 2*d**5 - 4 + (0 + 2 - 3)*(-5*d**5 + d**5 + 2*d**5) - 3*d**5 + 3*d**5 + d**5 + 3*d**5 - 6*d**5 - 2*d**5. 2*d**5 Expand s**2 - s**2 - 2*s**2 + (7*s**2 - 2*s**2 - 7*s**2)*(5 - 5 - 1) - 4*s**2 + 2*s**2 - s**2 + (-2*s + 1 - 1)*(s + 0*s + s). -7*s**2 Expand -9*d**3 + 4*d**3 + d**3 + (3*d + 0*d - 4*d)*(57 - 57 + 47*d**2). -51*d**3 Expand (-178*d**2 + 178*d**2 - 18*d**3)*(2 + 1 - 1). -36*d**3 Expand (-2*k + k + 0*k)*(13 + 20 + 10) - 4*k + 3*k + 0*k + 7*k - 3*k - 3*k + (0 + 0 - 2)*(-4*k + 2*k + k). -41*k Expand (0*n**2 + 2*n**2 - n**2)*(-25*n + 25*n - 10*n**2)*(-5 - 12 + 8). 90*n**4 Expand p**2 + p**2 - 3*p**2 + (0*p - p - p)*(-6 - p + 6) + (1 + 2*p - 1)*(3*p + 2*p - 7*p) + 5*p**2 + 2*p**2 - p**2. 3*p**2 Expand (-2*q + q + 0*q)*(-3*q**2 + 2*q**2 + 2*q**2) + 0*q**3 - q**3 + 6*q**3 + (q**2 - 2*q**2 - q**2)*(-11*q - 28 + 28). 26*q**3 Expand 214*x - 458*x - 638*x - 411*x + (-3*x + 3*x + x)*(4 + 2 - 5). -1292*x Expand (2 + 2*c - 2 + (-3 - 1 + 3)*(-3*c - 3*c + 4*c) + c + 5*c - 4*c)*(-4 + 4 - 1) - 4*c - 4*c + 2*c. -12*c Expand (0*z - 17*z - 2*z)*(24*z - 2*z**2 - 54*z + 31*z - 3). 38*z**3 - 19*z**2 + 57*z Expand -135 + r**2 + 135 + 14 - 14 + 3*r**2 + (3 - 3 - 1)*(2*r**2 - 3*r**2 + 2*r**2). 3*r**2 Expand (2*d**5 + 2*d**2 + d**5 + 0*d**2)*(4 + 9 + 144). 471*d**5 + 314*d**2 Expand (-1 - 119*c + 1 - 27*c)*(-5 + 0 + 2). 438*c Expand (-613 - 379 + 162)*(-k**2 + 0*k + 0*k)*(5 + 0 - 3)*(-5*k + 3*k + 3*k). 1660*k**3 Expand (-2 + 1 + 3)*(-6 + 3 + 4)*(-8*p - 36 + 36). -16*p Expand (3 - 3 + 2*g)*(0 - 2*g + 0)*(-22 - 1787*g + 2*g**2 + 1787*g). -8*g**4 + 88*g**2 Expand (-2*n**2 + 2*n**2 + n**2)*(629*n - 177 - 1249*n + 622*n). 2*n**3 - 177*n**2 Expand (-3 + 1 + 4)*(-x**2 + 2*x**2 + 3*x**2)*(-2 - 9*x + 7*x - 21). -16*x**3 - 184*x**2 Expand (0 + 2*x**2 + 0)*(114*x + 11*x - 289*x)*(0 - 2 + 5). -984*x**3 Expand (-h**2 - 2*h**3 + h**2)*(0 + 3 - 5)*(-19 + 47 - 541). -2052*h**3 Expand (-2 + 3 + 1)*(-14 + 23*x**3 - 12*x**3 - 12*x**3). -2*x**3 - 28 Expand (386*g - 144*g + 6*g)*(-2*g - 1 + 1) + 4*g**2 + 0*g**2 - 5*g**2. -497*g**2 Expand (-2 + 0 + 4)*(35*g - 35*g + 5*g**3) - 10*g**3 + 19*g**3 + 34*g**3. 53*g**3 Expand r - r - r**3 + (-r - 4 + 4)*(3*r**2 - 9*r**2 - 5*r**2 + 3*r**2 + 0*r**2 + 0*r**2 + (0*r - 3*r + 5*r)*(5*r - 4*r + r) + r**2 - 4*r**2 + 2*r**2). 4*r**3 Expand 6 - 2 - 2 + 2*f + 4*f + 0*f + 2*f + (f - f + f)*(2 + 1 - 5). 6*f + 2 Expand (u**3 - u**3 - 2*u**3)*(-602 + 64*u + 602). -128*u**4 Expand 0*k**5 - 4*k**4 + 8*k**5 - k**5 + (3*k - 3*k**3 - 3*k)*(k - k - k**2). 10*k**5 - 4*k**4 Expand (-14*o**4 - 8*o**4 + 11*o**4)*(-732 + 34*o + 732). -374*o**5 Expand (-3 - 2*w**2 + 3)*(-154*w**2 + 305*w**2 + 380*w**2). -1062*w**4 Expand (0 + 0 + 4)*(0*u - 2*u + 4*u + (-3 + 2 + 2)*(-3*u + 2*u + 2*u) + (-2 - 2*u + 2)*(1 - 6 + 2) + 58 - 58 - 6*u). 12*u Expand (-2 + 4 + 0)*(y**5 - 1 + 1) - 2*y**2 - 4*y**5 + 2*y**2 - 33*y**5 - y**5 + 623*y**5. 587*y**5 Expand (0 + 2 - 3)*(-3*t + 3*t - t) + (-3*t - 3*t + t)*(-8 - 5 + 9) + t - 2*t - t. 19*t Expand -2*j**2 - j**2 + 4*j**2 + (0 + 1 + 1)*(3*j + j**2 - 3*j) - 5*j**2 + 6*j**2 - 8*j**2 + (-j + 2*j - 2*j)*(j - j + 2*j) + j**2 - 4*j**2 + 2*j**2. -7*j**2 Expand (4*l**2 + 6*l**2 - 14*l**2 - 3*l)*(-l + l - 10*l**3). 40*l**5 + 30*l**4 Expand (6 - 4 + 1)*(0*o**4 + o**4 - 3*o**4) + (-3*o - o + 2*o)*(-o**2 - 2*o**3 + o**2) + (22*o - 22*o - 21*o**2)*(-o**2 - o**2 + 3*o**2). -23*o**4 Expand (2*y - 4*y + 0*y + 0*y + 2*y - 3*y + y + 3*y - 5*y + (5 + 0 - 4)*(-3*y - 2*y + 3*y) + 3 - 2*y - 3 + 2*y + 2*y - 3*y)*(16*y**3 + 16*y**3 - 10*y**3). -154*y**4 Expand -3*i - 2*i + 4*i + (-10 - 1 - 2)*(i - i + 3*i) - 5*i + i + 2*i. -42*i Expand 33*a**2 - 5*a - 4*a - 32*a**2 + (-a + a - 2*a)*(0*a + 0*a + a) + 2*a**2 + 3*a**2 - 4*a**2 + 0*a - a**2 + 0*a. -a**2 - 9*a Expand (2*m - 2*m + m)*((4 - 1 - 2)*(21*m + 72 - 72) + (4*m - 3*m + 0*m)*(-1 + 2 + 5)). 27*m**2
Let s = 1.8837 - 1571884.8837. Let m = 1571884.000001 + s. Let x = m + -1. What is x rounded to six dps? 0.000001 Let h = 5.06 + -5. Let d = 0.06064 - h. What is d rounded to four decimal places? 0.0006 Let u = -9 - -31. Let q = -21.9999991 + u. Round q to seven dps. 0.0000009 Let o(q) = -8*q**2. Let k be o(1). Let r be (k/(-12))/(4/(-222)). Round r to the nearest ten. -40 Let o = 0.151905 - 0.917875. Let j = -31.78497 - o. Let h = 31 + j. Round h to two decimal places. -0.02 Let r = -213090 + 213089.98000034. Let b = r - -0.02. What is b rounded to seven dps? 0.0000003 Let g = 102.3 - 86. Round g to zero decimal places. 16 Let o(b) = -394*b**3 - 12*b**2 - 5*b. Let j be o(-8). Suppose -6*n = -3*n + j. Round n to the nearest 10000. -70000 Let z = 1.92 - 19.22. Let o = z - -17.30000103. What is o rounded to seven decimal places? 0.000001 Suppose -4*s = s - 3250. Round s to the nearest 100. 700 Let r(o) = -179979*o**3 + 1. Let n be r(-1). Suppose 5*l - 449995 = v, -l = l - 4*v - n. Round l to the nearest one hundred thousand. 100000 Suppose 28*o - 26*o = -9200. Round o to the nearest one thousand. -5000 Suppose -72600000 = x + 2*x. What is x rounded to the nearest one million? -24000000 Let d = 60 - 94. Let x = d - -56. Let s = -22.00108 + x. Round s to four decimal places. -0.0011 Suppose -b + 12 = 7. Suppose 0 = 5*c + 2*f - 8, -3*c - f = -b + 1. Round c to the nearest ten thousand. 0 Let b = -394 - -112. Let x = 317.9 + b. What is x rounded to the nearest integer? 36 Let q = 811.6 - 808.3348. Let d = 8.0629 - q. Let w = d + -4.8. Round w to 3 decimal places. -0.002 Let z = 3.6 + -3.682. Let q = -6.718 + z. Let n = -6.79923 - q. Round n to four decimal places. 0.0008 Let q = -76.83 - -78. Let y = q + -1.169791. Round y to 5 decimal places. 0.00021 Let f = 0.06 - 0.08. Let i = f + 0.021. What is i rounded to 2 decimal places? 0 Let z = -71.27 - -72. Let j = z - 0.7. Let d = j + -0.0252. What is d rounded to three decimal places? 0.005 Let f(p) be the first derivative of p**2 + 1 - 5/3*p**3 - 7*p - 1/4*p**4. Let b be f(-6). Round b to the nearest ten. 20 Let s be (-299 - 1)/(3/(-56)). What is s rounded to the nearest 1000? 6000 Let o = 964.6565 + -934.856363. Let b = o + -29.8. Round b to 5 dps. 0.00014 Let h be 2 + 1*(2696 + 2). Round h to the nearest 1000. 3000 Let v(c) = -c**3 + 7*c**2 - 7*c + 4. Let a be v(6). Let g be 1/a - (-65999997)/(-6). What is g rounded to the nearest one million? -11000000 Let b be ((-3)/(-2))/((-6)/8). Let o = b - -6. Suppose o*j - 4912 + 12912 = 0. Round j to the nearest 1000. -2000 Suppose -5*o - 4278 - 3818 = m, 5*m = 2*o + 3260. Round o to the nearest 100. -1600 Suppose -3*u = -9, 2*g = 5*u - 9 - 12. Let r(v) = 3*v**3 + 5*v**2 + 3*v + 3. Let s be r(g). What is s rounded to the nearest ten? -40 Let i = 0.07 + 0.2. Let f = i + 0.09. What is f rounded to 1 dp? 0.4 Suppose 5*u + 600000 = 4*u. What is u rounded to the nearest 100000? -600000 Let r = -384596 - -94596. What is r rounded to the nearest one hundred thousand? -300000 Let w(p) = -p - 9. Let n be w(-7). Let v = n + 4. Let z = v + -1. What is z rounded to the nearest ten? 0 Let k = 500995.0058 - 501065. Let f = k + 70. Round f to 3 dps. 0.006 Let i be -7*21*1 - (-3)/(-1). What is i rounded to the nearest one hundred? -200 Let d = 161208 + -11061208. Round d to the nearest 1000000. -11000000 Let r(a) = -29593*a**2 + 9*a - 6. Let u be r(7). Round u to the nearest 100000. -1500000 Let f = -7.971 + 8. Let o = 1.91 - 2. Let t = f + o. Round t to 2 decimal places. -0.06 Let h(t) = 3*t**2 + 7*t + 6. Let i(v) be the first derivative of -v**3/3 + 2*v**2 + 3*v + 4. Let w be i(3). Let g be h(w). What is g rounded to the nearest 10? 160 Let b = -1 + 34. Let o = b + -5. Let f = -28.0022 + o. What is f rounded to three decimal places? -0.002 Suppose -12342 - 108658 = -j. Round j to the nearest 10000. 120000 Let k = -25.353 - -25.2. Round k to 2 decimal places. -0.15 Let p(y) = 7*y + 11 + 0*y - 5 - 166668*y**2. Let b be p(6). Round b to the nearest one million. -6000000 Let g = -129 - -129.59. What is g rounded to one decimal place? 0.6 Let o = -49.00000145 + 49. Round o to seven decimal places. -0.0000015 Let h = 1.838479 - 0.327049. Let y = h - 1.51. Round y to four dps. 0.0014 Let w(g) = 2*g - 7. Let y(v) = 2*v**2 - 2. Let j be y(2). Let u be w(j). Suppose 5*i + u*n = -38520, -4*i + 5*i = n - 7696. Round i to the nearest 1000. -8000 Let f = -446200750 + 682916070. Let z = f - 236715350.00000017. Let b = -30 - z. What is b rounded to 7 dps? 0.0000002 Let f = 74 - 74.0295. What is f rounded to two decimal places? -0.03 Let j = -0.115 - 2.215. Let t = -6.9 + 9. Let s = j + t. Round s to 1 dp. -0.2 Let a = -17.8 + 36.2. Let i = 3.6 + -12.8. Let o = i + a. What is o rounded to the nearest integer? 9 Let z = 5.89999917 - 5.9. What is z rounded to six dps? -0.000001 Let i = -12.517 - -0.117. Let l = i - -12.40093. What is l rounded to 4 dps? 0.0009 Let r = 0.04698 + -0.047. What is r rounded to 4 decimal places? 0 Let z = 134225066.999963 - 134225144. Let f = 77 + z. Round f to five decimal places. -0.00004 Let a = 1.3 - 1.37. Let f = 9534.92997 + -9535. Let u = f - a. What is u rounded to 5 decimal places? -0.00003 Let v = 41.411 - -0.089. Round v to the nearest integer. 42 Let r = 13 - 4.3. Let z = r + -8. Round z to the nearest integer. 1 Let g = 1 - -7.09. Let l = 8 - g. Round l to 2 dps. -0.09 Let v = -1.02 - -1. Let f = v - -0.01999962. Round f to seven dps. -0.0000004 Let h = -46495.937 - -46645. Let k = h + -149. Let z = 0.06299906 - k. What is z rounded to 7 decimal places? -0.0000009 Let d be 5680000 + 1 + -2 - -1. Suppose q - 5*t + 3*t = 1420000, 4*q - d = 5*t. Round q to the nearest 100000. 1400000 Suppose 2*k + 34 = h, 5*k + 2*h = 4*h - 83. Let r be -5*2*3/k. Let b be 1125/r*(-80)/6. What is b rounded to the nearest one thousand? -8000 Let k = -109.99999851 - -110. What is k rounded to 7 decimal places? 0.0000015 Let h = -24195.44115 + 24196. Let w = -0.56 + h. Round w to 4 dps. -0.0012 Let v = -481 - -835. Let l = v - 164. What is l rounded to the nearest 100? 200 Let q = 14.715 - 0.015. Round q to zero decimal places. 15 Let t = -1 + 0.85. Round t to 1 dp. -0.2 Let v = -563838 + -139133. Let w = v + 302971. Let c be w/(-2)*(11 + -1). Round c to the nearest one million. 2000000 Let r = 167 - 167.001085. What is r rounded to four dps? -0.0011 Let g = -996861 + 1441866. Suppose -2*n = 5*u + n + 445015, -5*u - n - g = 0. Round u to the nearest 10000. -90000 Let a be (-257607)/28 - 1/(-4). What is a rounded to the nearest one thousand? -9000 Let d = -156.52 + -35.38. Let x = -96 + -84. Let h = d - x. What is h rounded to 0 decimal places? -12 Let t = 9102930 - 15102930. Round t to the nearest one million. -6000000 Let t = -3.7 - -3.33. Let b = -0.3822 - t. What is b rounded to three decimal places? -0.012 Let y = -142 + 542. Round y to the nearest one thousand. 0 Let h = 4.4 - 4.415. What is h rounded to two dps? -0.02 Suppose 0 = 4*w - 5*x + 2*x - 14, 0 = -5*w - 5*x. Let l(u) = -21249*u**3 - 2*u**2 - u + 2. Let n be l(w). What is n rounded to the nearest one hundred thousand? -200000 Let x = 188.012 + -189. Let c = x + 0.8817. Let u = -0.111 - c. Round u to three decimal places. -0.005 Let z = -0.36245466 + -58399.63814534. Let l = z + 58393. Let c = l - -7. Round c to 4 dps. -0.0006 Suppose -3*n = 4*b - 22, -3*n - 4 = -2*b - 2. Suppose x + 3834 = 6*x + 4*h, 5*x - n*h - 3858 = 0. What is x rounded to the nearest 100? 800 Let u = -84.9 + 58. Let c = 27 + u. What is c rounded to one decimal place? 0.1 Let b = -3.03 - -0.03. Let c = 10 - b. Let r = -13.0007 + c. What is r rounded to 4 decimal places? -0.0007 Let o = 13071.29 + -13127. Let k = -34 + -22. Let f = o - k. Round f to 1 decimal place. 0.3 Let n = 1.399888 + -1.4. Round n to five dps. -0.00011 Suppose -2*x - 59210 = 3*b - b, 59220 = -2*x - 4*b. What is x rounded to the nearest 10000? -30000 Let v(t) = -t**2 - 7*t. Let c be v(-6). Suppose x + 620003 = p, x = -2*p + c*x + 1240015. What is p rounded to the nearest one hundred thousand? 600000 Let b = -68 - -67.9008. Let z = -3.2 - -3.1. Let q = z - b. Round q to 3 dps. -0.001 Let n = 460 + -459.999998668. What is n rounded to 7 dps? 0.0000013 Let h be -1 + 513 + (2 + 0)*-1. Round h to the nearest one hundred. 500 Let k = 35248.66575 - 35195.5. Let r = -0.10425 - k. Let v = r + 53. Round v to one dp. -0.3 Let l = 0.044 + -103.044. Let b = l - -103.0082. Round b to three dps. 0.008
Let q be 8/(5*(-6)/(-15)). Let j be (440/(-44))/((-1)/q). Calculate the greatest common factor of 25 and j. 5 Let x(z) = -12*z**2 + z**3 - z + 10*z + 4*z - 70 - 6*z**2. Let l be x(18). What is the greatest common divisor of l and 4? 4 Let o be -1*(0/(-15) - 2825). Calculate the greatest common divisor of 75 and o. 25 Suppose -2*v + 190 - 74 = 2*m, -131 = -2*v + m. What is the greatest common factor of v and 1638? 63 Suppose 1 = -b, -19*b + 14*b = -4*q + 897. Suppose -217*v + q*v = 612. What is the highest common divisor of v and 255? 51 Let q(p) = p**3 - 25*p**2 + 2*p - 27. Let k = 145 - 120. Let c be q(k). Suppose c*t - 18*t = 120. Calculate the highest common factor of 32 and t. 8 Suppose 2*s = -3*d - 877 + 5914, -6756 = -4*d + 4*s. Calculate the highest common divisor of 44 and d. 11 Suppose -24 = -3*o + 6. Let r be ((-3)/(-9))/(o/900). Let l = -65 + 95. Calculate the highest common divisor of l and r. 30 Let r(u) = -2*u**3 - 4*u**2 - 92*u - 37. Let v be r(-10). Calculate the greatest common divisor of v and 13. 13 Suppose -4*c = -2*c - 288. Let q = -17 + 46. Suppose o = 7 + q. Calculate the greatest common divisor of c and o. 36 Suppose 45*f + 23*f = -79*f + 19404. What is the greatest common factor of f and 3520? 44 Let r = 749 - 524. Let i(m) = 18*m - 1593. Let b be i(89). What is the greatest common factor of r and b? 9 Let o be (-2)/10 + (-896)/70. Let j be (-6)/39 + (-1900)/o. Let b = -11 + j. What is the highest common factor of 30 and b? 15 Let i = -51 + 173. Let t = i - 54. Let o = 121 + -19. What is the highest common factor of o and t? 34 Let v(f) = 10*f - 120. Let i be v(17). Suppose 4*k - 18 = -4*z + 6, -2*z + 18 = 5*k. Let j be k*(8 - (0 + -2)). What is the highest common divisor of i and j? 10 Let c be 6*(-7 + 50/6). Let i be c/6 + -2 - 34/(-6). Calculate the highest common divisor of i and 5. 5 Let o be 3*2/(-9) + (-12984)/(-36). What is the highest common divisor of o and 2920? 40 Let q be (-37)/(-222) + 38398/12. Suppose -88*n + q = -78*n. Calculate the highest common factor of 10 and n. 10 Let c be (-6527)/(-488) - (-6)/(-16). Calculate the highest common divisor of c and 6. 1 Let b(m) = 15*m - 115. Let q be b(23). Suppose -q = -9*c - 50. Calculate the highest common factor of 55 and c. 5 Suppose -2*m - 2 = 2*v, -v + 2*m + 2 + 0 = 0. Let b be 10*((-22)/(-4) - v). Let t be b/2 + 21/(-14). Calculate the greatest common divisor of t and 26. 26 Let w = 24172 + -23876. Calculate the greatest common factor of 4366 and w. 74 Let d(m) = 9*m**2 - 2*m + 3. Suppose 17*u - 3 = 14*u. Let y be d(u). Let w = y - -11. What is the highest common factor of w and 231? 21 Let g = 197 + -208. Let l(d) = -d**2 - 7*d + 47. Let m be l(g). What is the greatest common divisor of 21 and m? 3 Suppose b = 3*p + 19, -68*p + 5 = -b - 71*p. What is the greatest common factor of 938 and b? 7 Suppose -5*u - 74 = 121. Let o = 56 + u. What is the greatest common divisor of o and 459? 17 Let b = -4603 - -5098. Suppose 0*j - 2*j + 2 = 0. Suppose s = 44 + j. Calculate the greatest common factor of s and b. 45 Suppose 5*x - 650 = 5*q, 511 = -2*x + 6*x + 5*q. What is the highest common factor of 1161 and x? 129 Let b be (-3 - -2)/(7/(-119)) - 8. Calculate the greatest common factor of 183 and b. 3 Let x be 10*(-6)/(-15) - -4. Suppose 21*b - 572 = x*b. What is the greatest common divisor of 11 and b? 11 Suppose 9*b + 1248 = 21*b. Let y = -78 - -130. What is the highest common factor of b and y? 52 Let p be ((221/4)/17 - 8)*16*-1. What is the highest common divisor of 10 and p? 2 Let q be (90/(-14))/(-5)*7/(-14)*-28. Let x = -11 - -15. Calculate the greatest common factor of x and q. 2 Suppose 80 + 142 = -3*d. Suppose 0 = 4*h + 4, -3*l + 86 = -5*h - 165. Let n = l + d. What is the highest common factor of n and 4? 4 Let z = 6709 - 6159. What is the highest common factor of 176 and z? 22 Let m(i) = -i + 1. Let h be m(-3). Let l(z) = -317*z + 4 + 148*z + 172*z. Let j be l(h). Calculate the highest common divisor of j and 4. 4 Let v be 511/7 - 1*-5. Suppose -3*q + v = 24. Let w = 60 + -54. Calculate the highest common divisor of q and w. 6 Let n = 601 + -583. Suppose -87 = -h - n. What is the highest common factor of 6 and h? 3 Let p = 363 + -318. Let z = 47 - p. Calculate the highest common factor of z and 106. 2 Let t(x) = 11*x + 241. Let u be t(-21). Suppose 29 = 3*n - l, 0 = 3*l - 3 - 0. Calculate the highest common divisor of n and u. 10 Let o(h) = -h**2 + 2*h + 14. Let d be o(0). Let k(y) = -15*y**2 + 158*y + 35. Let w be k(7). Calculate the greatest common divisor of d and w. 14 Suppose -2098*b - 2180 = -2118*b. What is the highest common factor of 18312 and b? 109 Suppose 3*t + 155 = j - 0*t, -5*j + 870 = 4*t. Let x be (5/10 + 2)*4. Calculate the greatest common divisor of x and j. 10 Let o = 51 + 352. Suppose -o*q + 405*q = 10. Calculate the highest common divisor of 3 and q. 1 Let f be ((-7)/(-2))/(5/20 + 0). What is the highest common divisor of f and 49? 7 Let s(p) = 49*p**2 - 17*p + 366. Let m be s(10). What is the highest common factor of m and 104? 104 Let j(z) = 264*z + 18. Let i be j(10). Suppose 0 = -0*s - 6*s + i. Suppose 6*b = -29 + s. What is the greatest common divisor of b and 23? 23 Suppose -108 = 6*u - 8*u. Let f(c) = c + 45. Let a be f(0). Let k = u - a. What is the greatest common divisor of 27 and k? 9 Suppose -2*q = -3*x - 3453, -270*q - 3*x = -266*q - 6843. What is the greatest common factor of q and 231? 33 Suppose 792 = -2*j - 2*j. Let q be (-74)/(-4)*8*j/(-72). Suppose -h = 10*h - q. What is the highest common divisor of 296 and h? 37 Let y(m) = 2*m**3 - 2*m**2 - 4*m + 7. Let d be y(2). Suppose d*j - 931 = 469. Calculate the highest common factor of j and 32. 8 Let s(l) = -l + 37. Let n be s(-3). Let m be n/5*-3*(-8)/12. Calculate the highest common divisor of m and 128. 16 Suppose 73*v - 268576 = 29*v. Calculate the highest common divisor of 112 and v. 56 Suppose 0 = -4*g - 4*y + 156, 1 = -3*y + 10. Let p = 68 - g. Calculate the highest common factor of p and 96. 32 Let m be (8/(-14))/(10/((-840)/759) + 9). Calculate the greatest common divisor of 290 and m. 2 Suppose 4*n = y - 58, 5*n + 17 = 2*y + 8*n. Suppose -5*v = -4*v - 1342. What is the highest common factor of y and v? 22 Let l = 7623 + -7368. Calculate the highest common factor of l and 45. 15 Suppose -d = 20*a - 22*a + 12, 3*d = 6. Let i be (-205)/(-1) - (-2 + 4). Calculate the greatest common divisor of i and a. 7 Suppose 27*l + 80 = 11*l. Let n(a) = -2*a + 20. Let o be n(l). Calculate the highest common factor of 15 and o. 15 Suppose -2*d = -4*u - d + 204, 0 = 5*u - d - 256. Suppose -p - u = -5*p. Suppose p*v = 11*v + 56. What is the greatest common divisor of 42 and v? 14 Let v be (-3*2/18)/(6/2826). Let r = 213 + v. Calculate the greatest common divisor of 112 and r. 56 Let p(i) = 12*i - 31. Let h be p(8). Let d = -79 + 56. Let c = 49 + d. Calculate the greatest common factor of c and h. 13 Suppose 0 = -84*w + 37818 - 5898. What is the greatest common factor of 60 and w? 20 Let y(n) = n + 27. Let j be (-4 + (-5)/(-1))*-10. Let q be y(j). Suppose 2*g - 12 - 22 = 0. What is the highest common divisor of g and q? 17 Suppose 516 = -41*a + 1459. Let r be 12*(1380/(-9))/(-5). What is the highest common divisor of r and a? 23 Let c = -12926 + 18958. Calculate the highest common factor of 624 and c. 208 Let q(y) be the second derivative of 0 + 1/4*y**4 - 3*y**2 + 1/20*y**5 - 11/6*y**3 - 20*y. Let u be q(-4). What is the highest common factor of u and 33? 11 Let k(u) = 12*u**2 + 66*u + 502. Let r be k(-13). Calculate the greatest common divisor of r and 8. 8 Let z(x) = -x**3 + 3*x**2 + x + 3. Let u be z(3). Suppose 5*r - 748 = -u*r. Calculate the highest common divisor of r and 1156. 68 Let k(u) = 150*u**2 - 2*u - 17. Let x be k(-6). Calculate the greatest common factor of x and 249. 83 Let t = 7460 + -7433. Let m be (27 - 4/2) + 2. Calculate the greatest common factor of m and t. 27 Suppose -5*t + 154 = 4*p, -13*p + 3*t = -9*p - 138. Calculate the greatest common factor of 732 and p. 12 Let c = -17 + 23. Suppose 1056 = -2*b + c*b. What is the greatest common factor of 66 and b? 66 Let s(y) = 9*y + 5. Let m be s(4). Let h be (-17 - -11) + (1 - -15). Let x = m - h. Calculate the highest common factor of x and 62. 31 Suppose -h = -4*v - 3*h + 1236, 5*v = -2*h + 1545. Calculate the greatest common divisor of 3 and v. 3 Let x be 4/3*45/10. Suppose 3*m = x*m - 42. Let q(k) = -20*k - 28. Let d be q(-7). Calculate the greatest common divisor of m and d. 14
Simplify (v**1)**30*((v/(v/v**(-5)))/v)/(v/v**(2/9)) assuming v is positive. v**(209/9) Simplify (x*x/x**(-3/8)*x)/((x/(x/x**(5/6)))/x)*x**(-5)/x**(1/2) assuming x is positive. x**(-47/24) Simplify (y**(27/4)/y)**(-48) assuming y is positive. y**(-276) Simplify (o/o**2)**(-26) assuming o is positive. o**26 Simplify (t*t/t**(3/7))/t*(t*t**(2/5)/t)/t*(t*t/(t*t*t**(1/5)*t)*t)**(-15) assuming t is positive. t**(104/35) Simplify (f**(-4/3))**44 assuming f is positive. f**(-176/3) Simplify (b/(b**(-2/13)/b)*b*b**(-6))/(b*b*(b*b/((b/((b/(b*b**(-5)/b*b))/b))/b)*b)/b*b*b**(2/7)) assuming b is positive. b**(-1104/91) Simplify (f**0*f)**(-48)*(f*f**(-5)/f)/(f*f**(-2/9)) assuming f is positive. f**(-484/9) Simplify ((v/v**6)/(v*v*v/v**(2/3)*v*v*v))/(v**1)**(-22) assuming v is positive. v**(35/3) Simplify (o/((o**(2/21)*o)/o))/(o*o**(-1/2))*(o*o**2)**(10/17) assuming o is positive. o**(1549/714) Simplify m**(-2/53)/m*m**(-2/5) assuming m is positive. m**(-381/265) Simplify ((x**(-2/15)/x)/x**(3/7))/(x**(-2/5))**(-7) assuming x is positive. x**(-458/105) Simplify (n*n*n**(-7)/n*n*n**0)/(n**(-1)*n**(-8)*n) assuming n is positive. n**3 Simplify ((a*a/a**(-2/7)*a)**28)**(-1/41) assuming a is positive. a**(-92/41) Simplify v/((v/(v**(3/5)*v))/v)*v/(v**(3/4)*v*v)*(v*((v/(v*v*v**(-2/7)/v*v*v*v))/v)/v)**(-5) assuming v is positive. v**(2719/140) Simplify (q**(-3)*q*q*q/((q*q**(-1/6))/q))/(q**(-2))**40 assuming q is positive. q**(481/6) Simplify j**4/(j*j**(-4))*(j*(j*j**(-4/5))/j)/j**(-3/5) assuming j is positive. j**(39/5) Simplify (v**5/(v*v**(3/5)*v))/(v**(-7)*v*v**9) assuming v is positive. v**(-3/5) Simplify (f*f**(-2/7)*f/(f**0/f)*f)**(3/23) assuming f is positive. f**(78/161) Simplify ((m/(m/(m/(m*m/(m*(m**(-3)/m)/m*m))))*m)/(m*m**(6/7)))/(m*m*m**(-2/3))**(-30) assuming m is positive. m**(246/7) Simplify (h**4/h)/h**6*h**2/(h*h**(-9)*h) assuming h is positive. h**6 Simplify v**(-5)/v*v**(-3)*(v*v**(1/3))/(v*v**(-2/13)) assuming v is positive. v**(-332/39) Simplify z/(z*z/z**(-6/11))*z**(-1/6)*(z**(2/3))**11 assuming z is positive. z**(371/66) Simplify ((u/u**(2/7))/u*u**(-3/4))**(4/17) assuming u is positive. u**(-29/119) Simplify (y/(y*y/(y**(-4)*y))*y/(y/(((((y*y/((y*(y*y/(y*y*y**2*y)*y*y)/y*y)/y)*y)/y)/y)/y)/y)*y))**(-48) assuming y is positive. y**240 Simplify ((x*x/(x*x**2))/x)/(x/(x/x**1))*x**(-1/2)/(x*x**(-4/5)) assuming x is positive. x**(-37/10) Simplify (y**18*y**(-3/5)*y)**(-2/73) assuming y is positive. y**(-184/365) Simplify (j*j**(4/13)*j)/j*(j/(j/j**(-21)))/j assuming j is positive. j**(-269/13) Simplify (m/m**(-1/15))/m**5*(m/(m*m**1/m))**(-31) assuming m is positive. m**(-59/15) Simplify ((g/(g/(g/g**(-2/11))))**(1/3))**(15/11) assuming g is positive. g**(65/121) Simplify x*x**(4/5)/x*x*x*x*x/x**1*(x/(((x**(-4/5)/x)/x)/x))/x**1 assuming x is positive. x**(38/5) Simplify ((s*s/(s**(5/3)*s*s))/s**(-8/5))**(-48) assuming s is positive. s**(16/5) Simplify (d**2)**(21/8) assuming d is positive. d**(21/4) Simplify (m*m**(-5)*m*m)**44 assuming m is positive. m**(-88) Simplify ((u/(u**(-3/5)/u))/(u**(-16)/u*u))**19 assuming u is positive. u**(1767/5) Simplify (d/((d*d**(-10/11)/d*d)/d)*d**(-5)*d)**(-1/21) assuming d is positive. d**(23/231) Simplify ((m*m/m**2)/m)**30/((m*m**(1/5))/m**8) assuming m is positive. m**(-116/5) Simplify (i**0*(i*i**(-1/4))/i)/(i/(i/(i*i*i**(1/2)/i))*i)**33 assuming i is positive. i**(-331/4) Simplify (q*(q*q**(-26))/q)/q*q**(12/5) assuming q is positive. q**(-118/5) Simplify (g**(4/15))**(-7/11) assuming g is positive. g**(-28/165) Simplify (s**0/s)**(-16)/(s**(-1/6)*s*(s*s**10*s)/s) assuming s is positive. s**(25/6) Simplify x**7/(x*x/x**(-16/7)) assuming x is positive. x**(19/7) Simplify (m**(6/5))**39 assuming m is positive. m**(234/5) Simplify (((u*u**(2/31))/u)/u)/(u*u**2) assuming u is positive. u**(-122/31) Simplify ((n*n/(n*n/(n*n**(2/3)*n)))**(-23/3))**13 assuming n is positive. n**(-2392/9) Simplify z**(-3/4)*(z*z**(2/9)/z)/z*z**(-4)/z**5 assuming z is positive. z**(-379/36) Simplify (u**(-1/2)*u)/u**(1/4)*(u**3*u)/(u**(-4/9)*u) assuming u is positive. u**(133/36) Simplify y*y**7*y*y*y*y**12 assuming y is positive. y**23 Simplify ((d/d**0)**7)**4 assuming d is positive. d**28 Simplify (u*u*u**(-15)*u)/(u*u*(u/u**(4/11))/u) assuming u is positive. u**(-150/11) Simplify (v*v/(v**(2/11)*v))/v**(4/7)*v/((v*v/v**(-7))/v)*v*v/v**0 assuming v is positive. v**(-366/77) Simplify p/((p/(p*p**(-7))*p)/p)*p**(-2/13)*(p**(-1/2))**(-1/9) assuming p is positive. p**(-1427/234) Simplify (y**(-1))**(-40)/((y/((y/(y/y**(2/11)*y))/y))/(y/(y**(-2)/y))) assuming y is positive. y**(453/11) Simplify ((q**(-1))**15)**(1/8) assuming q is positive. q**(-15/8) Simplify o**6/((o*o/o**(3/2))/o)*(o*o/(((o*o**(5/2))/o)/o))/(o*o*o*(o**(2/9)*o)/o) assuming o is positive. o**(34/9) Simplify d**4/d**(2/9)*(d**0)**(-1/21) assuming d is positive. d**(34/9) Simplify (x**(-3)*x**(1/4))/((x/(x/(x**(-1/3)/x)))/(x**6/x)) assuming x is positive. x**(43/12) Simplify b**4/(((b**(3/4)*b)/b)/b) assuming b is positive. b**(17/4) Simplify ((v/v**2)/(v**(-3)*v))**0 assuming v is positive. 1 Simplify (v*(v/(v**(-5)*v))/v*v**(1/7))/(v*v**(-3)*v*v*v*v**(-4/9)/v) assuming v is positive. v**(352/63) Simplify ((b**(-1)/b)**26)**(-2/57) assuming b is positive. b**(104/57) Simplify ((a*a**(-1/4)*a)/a**4)/(a*((a*a/a**(-6))/a)/a*a**(-4)/a) assuming a is positive. a**(-17/4) Simplify (((f/(f*f**4)*f)/f)/f)/(f/(f/(f/(f/((f*f**(-9)/f)/f)*f))*f)) assuming f is positive. f**7 Simplify (r**(2/7)*r*r*r)**(1/58)/(r**2)**(1/30) assuming r is positive. r**(-61/6090) Simplify (g*g**(2/17)*g)**(-2/9) assuming g is positive. g**(-8/17) Simplify ((i*(i**2*i)/i)**(-37))**49 assuming i is positive. i**(-5439) Simplify ((z*z*z**(-5))**(-3/5))**(-1/23) assuming z is positive. z**(-9/115) Simplify (r**(2/5))**32/(r*r**(1/4)*r*r*r/(r/(r**4/r))) assuming r is positive. r**(131/20) Simplify (y/y**(2/5))**(23/6) assuming y is positive. y**(23/10) Simplify ((s*(s/(s*s*s**(-22)*s*s))/s)/s)/s**(6/11) assuming s is positive. s**(192/11) Simplify (p**(-1)*p)**(3/20)/(((p*(p*p*p/(p**(-1/5)*p))/p*p)/p)/(p*(p/p**4)/p*p)) assuming p is positive. p**(-21/5) Simplify (b**0/b)/(b**(-3/4)/b)*(b**(-1)/b)**(-1/9) assuming b is positive. b**(35/36) Simplify (p/(p*p**0))**(3/10)/((p*p/(p/(p**(4/9)*p)))/p**(-1/2)) assuming p is positive. p**(-53/18) Simplify (p/p**(-2/7))/(p*p*p**(4/7))*(p**(-2/9))**23 assuming p is positive. p**(-403/63) Simplify g*g**(4/19)*g*g*g**(6/7) assuming g is positive. g**(541/133) Simplify (f*f**(-1)*f)**(-3)*(f/(f/(f*(f/(f/(f*f/f**(-3))))/f)))/(f/(f*f**(-1/2))) assuming f is positive. f**(3/2) Simplify (n**2/n)**(-2/13)*(n*(n*n*n**(2/9)/n)/n)**(-34) assuming n is positive. n**(-4880/117) Simplify (y*y*y**5*y)/((((y/y**(-4/5)*y*y)/y)/y*y)/y) assuming y is positive. y**(31/5) Simplify (n**(1/9)/n**(-1/6))**(-27) assuming n is positive. n**(-15/2) Simplify t**15*t*t**(5/2) assuming t is positive. t**(37/2) Simplify (d**1)**(2/121)*d/(d/(d*d**(-1/3)*d))*d**(-1/9)/d assuming d is positive. d**(623/1089) Simplify ((p**(-4/7))**(-10/13))**24 assuming p is positive. p**(960/91) Simplify (d**10)**(1/74) assuming d is positive. d**(5/37) Simplify h**(-1/16)/h**(-2/5) assuming h is positive. h**(27/80) Simplify (m/(m*m**8*m*m*m))/((m*m*m/(m/(m*m**(-2/3))))/m)*m**7/m*m/(m/(m*(m/(((m*m**(-3/2)*m)/m)/m)*m)/m))*m assuming m is positive. m**(-11/6) Simplify a**4/(a*a*a**(-7))*(a**(-2))**(17/5) assuming a is positive. a**(11/5) Simplify (v/v**(-1/8)*v*v**(-3/11))/(v/(v/(v**(-1/3)/v*v)))**(-11) assuming v is positive. v**(-479/264) Simplify ((i/i**(-1/15))/((i*i**(-1/6))/i))**(-33) assuming i is positive. i**(-407/10) Simplify ((m/m**6)/m)/(m/((m**7*m)/m)) assuming m is positive. 1 Simplify (h**(1/3)/h)**(-1/11)/(h**(-3/11)*h*h**(1/2)/h) assuming h is positive. h**(-1/6) Simplify (z*z*z*z**(-3)*z)/z**(-1)*(z**(-2/3))**(1/3) assuming z is positive. z**(16/9) Simplify (d**(-7))**(-30) assuming d is positive. d**210 Simplify (i**(-1/6)/i**(-2/37))**15 assuming i is positive. i**(-125/74) Simplify (((s*s/(s*s**(-2/7)))/s)/s)/((((((s*s**(-9))/s)/s*s)/s*s)/s)/s) assuming s is positive. s**(72/7) Simplify (m**7*m**(1/2))**(-5/6) assuming m is positive. m**(-25/4) Simplify ((r**(-4)/r)/r**(-6))**(2/19) assuming r is positive. r**(2/19) Simplify ((x**1*x)**(2/11))**(-2/23) assuming x is positive. x**(-8/253) Simplify (c**(-6/5)*c*c*c)/((c**(2/13)/c*c)/c*c*c) assuming c is positive. c**(42/65)
Let i(p) = -p**2 - 28*p. Let h(a) = -743*a**2 - 129*a + 2. Give h(c) - 5*i(c). -738*c**2 + 11*c + 2 Let f(d) = 1584*d**2 + 17*d + 32. Let o(y) = 793*y**2 + 8*y + 15. Determine -6*f(j) + 13*o(j). 805*j**2 + 2*j + 3 Let d(t) = -2*t**3 + t**2 + 3*t + 3. Suppose -5*r - 512 = -3212. Let i(v) = 2*v**2 + r*v - 1077*v - 2*v**3 + 541*v + 4. Calculate -4*d(z) + 3*i(z). 2*z**3 + 2*z**2 Let d(r) be the third derivative of -r**6/120 - r**4/24 - 465*r**2. Let c(x) = -4*x**3 - 6*x**2 - x. Determine c(i) - d(i). -3*i**3 - 6*i**2 Let g(t) = -4*t**2 + 60*t - 972. Let v(f) = -5*f**2 + 84*f - 1458. Give -7*g(s) + 5*v(s). 3*s**2 - 486 Let y(r) = -26*r**2 - 4*r + 2. Let o = -6128 - -6124. Let j(c) = 25*c**2 + 3*c - 1. Give o*j(f) - 3*y(f). -22*f**2 - 2 Let d(n) = -4*n**2 + 7*n - 658. Let f(p) = -3*p**2 + 6*p - 566. What is 6*d(a) - 7*f(a)? -3*a**2 + 14 Let y(x) = -1 + 5*x + 2 - 3. Suppose -8*p - 522 = -14*p. Let o = 85 - p. Let q(l) = -51*l + 21. Give o*q(r) - 21*y(r). -3*r Let x = 1 + -7. Let a be x/(-10) - (-40)/(-25). Let t(k) be the second derivative of -k**3/6 - 1152*k. Let b(q) = 5*q + 2. Determine a*b(g) - 6*t(g). g - 2 Let q(p) = -2*p**2 - 1. Let k(o) = -1345*o**2 - 2*o - 8. What is k(b) - 5*q(b)? -1335*b**2 - 2*b - 3 Let z(w) = -4*w**2 + 6*w + 3. Let x(g) be the second derivative of g**4/4 - 7*g**3/6 - 3*g**2/2 - 111*g. Give -3*x(f) - 2*z(f). -f**2 + 9*f + 3 Let b(w) = 18*w**3 + 11*w**2 - 7. Let q(g) = -9*g**3 - 6*g**2 + 4. Let d be ((-912)/(-80) + -7)/((-4)/(-10)). Give d*q(z) + 6*b(z). 9*z**3 + 2 Let t(y) = -23*y + 66*y - 23*y - 18*y - 7. Let h(z) = -z + 3. Let f be 1*-7 - (3 - 1). Determine f*h(p) - 4*t(p). p + 1 Let y(g) = -9*g + 8*g - 11 - 8*g. Let u(o) = 5*o + 6. Let i(w) = -2*w**2 - 21*w - 14. Let h be 40/6*11/(154/(-21)). Let t be i(h). Give t*y(k) - 7*u(k). k + 2 Let z(w) = -287*w**2 - 20. Let d(j) = j**2 - 4. Give 5*d(c) - z(c). 292*c**2 Let x(y) = -134 - 440*y**3 - 40222*y**2 + 122 + 12*y + 40210*y**2. Let b(i) = 176*i**3 + 5*i**2 - 5*i + 5. What is -12*b(f) - 5*x(f)? 88*f**3 Let b(f) = 33*f**3 + 2*f**2 - 2*f. Let g(z) = 496*z**3 + 31*z**2 - 31*z. Let h be 30/(-25)*(-6)/(18/(-5)). Calculate h*g(u) + 31*b(u). 31*u**3 Let i be 7/(11 - -8 - 18). Let a(s) = 8*s - 6. Let v(k) = 9*k - 7. Suppose f + 6 = -0*f. What is f*v(l) + i*a(l)? 2*l Let l(y) be the first derivative of 5*y**3/3 - 4*y**2 - 4*y + 4303. Let u(k) = k**2 - k - 1. Let s be (-1 - -3)/2 - 2. Calculate s*l(n) + 6*u(n). n**2 + 2*n - 2 Let k(i) = -3*i**2 - 10*i. Let z = -40 + 46. Let y be -5*(-3)/z*2*-1. Let d(j) = -2*j**2 - 7*j. Determine y*k(w) + 7*d(w). w**2 + w Let d(m) = 4*m - 4. Let l(i) be the third derivative of -i**4/8 + i**3/2 + 407*i**2. Determine 4*d(n) + 5*l(n). n - 1 Let s(v) = v**2 - 1. Let j(n) be the third derivative of -7*n**5/60 - n**4/24 + n**3/2 - 147*n**2. What is j(h) + 5*s(h)? -2*h**2 - h - 2 Let y(d) = d - 1. Let u(q) = -20*q**2 + 22*q - 44. Calculate -2*u(f) + 44*y(f). 40*f**2 + 44 Let p(s) = -4*s - 4. Let i(j) = 20*j + 40. Determine -i(z) - 8*p(z). 12*z - 8 Let z(l) = 2. Let g(h) = -2253*h - 4506. Determine -g(d) - 2253*z(d). 2253*d Let n(k) = 3*k**2 - 2337*k + 5. Let r(i) = 3*i**2 - 2331*i + 4. Determine 4*n(h) - 5*r(h). -3*h**2 + 2307*h Let v(s) = -11*s**3 - 5*s**2 - 109*s + 18. Let l(g) = 3*g**3 + g**2 + 29*g - 4. What is 9*l(x) + 2*v(x)? 5*x**3 - x**2 + 43*x Let s(k) = 4*k**3 + 6*k**2 + 6. Let p be -3*(5 - (-19)/3). Let b be (1/(4/14))/((-17)/p). Let d(n) = -4*n**3 - 7*n**2 - 7. Give b*s(z) + 6*d(z). 4*z**3 Let l(o) be the second derivative of 1/20*o**5 + 0*o**2 - 94*o + 0*o**3 + 0 - 1/6*o**4. Let u(d) = -2*d**3 + 7*d**2 + d. What is 7*l(z) + 2*u(z)? 3*z**3 + 2*z Let p(n) = -n**3 + 565*n**2 - 6. Let f(d) = -2*d**3 + 565*d**2 + d - 9. Determine 2*f(o) - 3*p(o). -o**3 - 565*o**2 + 2*o Let u(j) = 19*j - 84. Let d(z) = 17*z - 79. Give 5*d(i) - 4*u(i). 9*i - 59 Let f(m) = -6*m**2 + 16*m + 16. Let x(s) = -s**2 + 3*s + 3. Suppose 1155 = 28*u + 63*u - 301. What is u*x(r) - 3*f(r)? 2*r**2 Let h(z) = 190*z + 14. Let j(q) = 63*q + 1754 + 1773 - 3522. Determine 4*h(v) - 11*j(v). 67*v + 1 Let a(i) = 12*i - 6. Let m be (14/(-3))/((-2)/3). Let k(d) = 55*d - 18*d - 15*d - m - 9*d. What is -7*a(f) + 6*k(f)? -6*f Let g(l) = l**3 - 15*l**2 + 883*l + 5. Let w(u) = 3*u**2 - 4*u - 1. Calculate g(c) + 5*w(c). c**3 + 863*c Let x(d) = d**3 + 1. Let v be 1/(-2)*2*-3. Let o(f) = 12*f**3 - 94*f**2 - 17*f + 9. Let j be o(8). Let i(h) = -5*h**3 - 2*h**2 - 7. Give j*i(c) + v*x(c). -2*c**3 - 2*c**2 - 4 Let n(x) = x + 1. Let h(g) = 8*g + 14. Let u be (-6)/(-4) - (-95)/570*(-129)/1. Calculate u*n(q) + 2*h(q). -4*q + 8 Let z(k) = 5*k**3 + 20*k**2 - 6*k + 2383. Let i(v) = -v**3 - 5*v**2 + v. Determine -4*i(c) - z(c). -c**3 + 2*c - 2383 Let d(p) = -1642. Let j(f) = 274. Let k(b) = d(b) + 6*j(b). Suppose 3*y + v - 16 = 0, -22 + 5 = -3*y - 2*v. Let w(h) = h + 4. Calculate y*k(x) - 2*w(x). -2*x + 2 Let a(b) = -8*b**3 + 58*b**2 - 20*b - 1. Let k(o) = -37*o**3 + 232*o**2 - 79*o - 4. Calculate 9*a(z) - 2*k(z). 2*z**3 + 58*z**2 - 22*z - 1 Let p(z) = -15*z**3 - 8*z**3 - 233 + 236 - 3*z**3 + z**3. Let d(w) = -126*w**3 + 16. What is 3*d(h) - 16*p(h)? 22*h**3 Let x(n) = -21*n - 121. Let p be x(-10). Let s = p - 94. Let m(c) = 6*c**3 + 20*c**2 + 14. Let a(i) = 2*i**3 + 7*i**2 + 5. Give s*m(o) + 14*a(o). -2*o**3 - 2*o**2 Let x(p) = -17*p - 5. Let o(g) = 80*g - 1634. Give -o(t) - 5*x(t). 5*t + 1659 Let j(o) be the second derivative of -2*o**3/3 + 5*o**2/2 + o. Let w(y) = -864*y + 3480*y - 9 - 876*y - 868*y - 865*y. Give 11*j(r) + 6*w(r). -2*r + 1 Let c(z) = z + 1. Suppose 4 = -290*m + 9 - 5. Let v(y) be the third derivative of 0 + 22*y**2 + m*y + 1/6*y**3. What is -2*c(p) + v(p)? -2*p - 1 Let c(y) = -1320*y + 14. Let b(s) = -2*s + 13. Calculate b(a) - c(a). 1318*a - 1 Let w(b) = b - 1. Let c(m) = 5*m - 12. Let h(g) = 3*g - 6. Let o(n) = 3*c(n) - 7*h(n). Suppose -44*l - 7*l + 204 = 0. Determine l*w(s) + o(s). -2*s + 2 Let i(g) = g**3 - g**2 - 5*g - 4. Let h(o) be the third derivative of -o**6/120 + o**5/30 + 7*o**4/24 + o**3 + o**2 + 442*o. Determine 5*h(d) + 7*i(d). 2*d**3 + 3*d**2 + 2 Let p(j) = -4*j**3 + 573*j**2 + 5*j. Let k(a) = -7*a**3 + 860*a**2 + 8*a. Calculate -5*k(r) + 8*p(r). 3*r**3 + 284*r**2 Let l = -1014 - -1018. Let r(h) = -33*h**3 - 3*h**2 + 7*h. Let f(y) = -17*y**3 - 2*y**2 + 4*y. Give l*r(t) - 7*f(t). -13*t**3 + 2*t**2 Let s(n) = 2*n - 7. Let f(z) = 3*z + 19*z + 12*z - 37*z + 11 + 2. Suppose 0 = i + 6. Calculate i*f(j) - 11*s(j). -4*j - 1 Let p(i) = -3*i. Let d(m) be the first derivative of m**2/2 + m + 2100. Calculate 6*d(g) + p(g). 3*g + 6 Let b(z) = z**2 + 8*z. Let g(x) = -3*x**2 - 2602*x - 1. Determine 5*b(j) + g(j). 2*j**2 - 2562*j - 1 Let t(z) = 104*z + 388. Let b(l) = -35*l - 141. Calculate 14*b(o) + 5*t(o). 30*o - 34 Let s(f) = -f - 2. Let j(l) = 32*l - 150. Let x(t) = -15*t + 76. Let z(w) = 2*j(w) + 5*x(w). Let p be z(7). Let n(u) = -4*u - 10. Give p*n(d) - 14*s(d). 2*d - 2 Let a(n) = -10*n**3 - 7*n**2 - 13*n - 390. Let p(z) = 7*z**3 + 5*z**2 + 9*z + 260. What is 5*a(q) + 7*p(q)? -q**3 - 2*q - 130 Let c(h) = -2*h - 1. Let x(f) = -4*f - 3. Let m = 26753 - 26759. Let u = 29 - 18. Give m*x(j) + u*c(j). 2*j + 7 Let b(n) = 6*n**2 + 7*n - 10. Let o(h) = -18*h + 274. Let i be o(15). Let l(d) = -11*d**2 - 13*d + 19. Give i*l(p) + 7*b(p). -2*p**2 - 3*p + 6 Let r(n) = n + 1. Let u(d) be the second derivative of -3*d - 1 - d**2 - 2/3*d**3. What is -6*r(o) - 3*u(o)? 6*o Let g(c) = -c - 1. Suppose 0 = 5*d - 0*t + 2*t - 136, 2*t = 6. Let o = 69 - d. Let q = 53 - o. Let h(s) = -2*s - 2. Calculate q*g(z) - 6*h(z). 2*z + 2 Let f(w) = -78*w**2 - 22*w - 2. Let g(z) = 704*z**2 + 200*z + 18. Determine 28*f(h) + 3*g(h). -72*h**2 - 16*h - 2 Let c(r) be the first derivative of -88*r**3/3 - 2039. Let a(z) = 22*z**2. Determine -9*a(d) - 2*c(d). -22*d**2 Let c(h) = -h**3. Let r(g) = -9*g**2 - 172*g - 23. Let m be r(-19). Let z(p) = -7*p**3. What is m*c(k) + z(k)? -3*k**3 Let o(s) = -2*s**2 - 70*s + 24. Let h(j) = 30*j - 12. Give 7*h(i) + 3*o(i). -6*i**2 - 12 Let c(d) be the third derivative of -d**4/24 + 26*d**2 + 3*d. Let z(a) be the first derivative of a**3/3 + 7*a**2/2 + 4. Determine 21*c(p) + 3*z(p). 3*p**2 Let n(d) = 14*d**3 + 18*d**2 - 209*d. Let w(o) = -12*o**3 - 15*o**2 + 208*o. What is 5*n(p) + 6*w(p)? -2*p**3 + 203*p Let n(y) = -12*y + 157. Let l(q) = -37. What is -4*l(m) - n(m)? 12*m - 9 Let t(p) = 2*p**2 - 68*p - 485. Let s be t(40). Let f(u) = u**3 - u**2 + u - 3. Let z(b) = -b**3 + 2*b**2 - b + 5. Determine s*f(q) - 3*z(q). -2*q**3 - q**2 - 2*q
Round 7185646.209 to the nearest one thousand. 7186000 What is 4462234.86 rounded to the nearest one thousand? 4462000 What is 0.3582534513 rounded to three decimal places? 0.358 Round 398540.678 to the nearest one hundred thousand. 400000 What is -202907.4743 rounded to the nearest one hundred? -202900 What is -254.936581 rounded to the nearest 10? -250 What is -0.00000063668473 rounded to seven dps? -0.0000006 What is 3184362.595 rounded to the nearest one hundred? 3184400 What is -18.8999338 rounded to one decimal place? -18.9 What is 96773.658 rounded to the nearest ten thousand? 100000 Round -1.25852837 to 4 dps. -1.2585 Round 510.448759 to the nearest ten. 510 What is 279.400816 rounded to 2 dps? 279.4 Round -2.14048254 to 1 dp. -2.1 What is -76.2198231 rounded to the nearest ten? -80 What is -97577.7647 rounded to the nearest one hundred? -97600 What is 0.035209659 rounded to two dps? 0.04 What is -2971607600 rounded to the nearest one hundred thousand? -2971600000 Round 15164914000 to the nearest 1000000. 15165000000 What is 2396850080 rounded to the nearest one hundred thousand? 2396900000 What is 271060.145 rounded to the nearest one hundred? 271100 Round -0.00035686299 to 6 dps. -0.000357 Round 5720229.611 to the nearest one hundred thousand. 5700000 Round -1335.42666 to one dp. -1335.4 Round 1888030.72 to the nearest 100000. 1900000 What is 10.86711895 rounded to one decimal place? 10.9 What is -16918.92749 rounded to the nearest 1000? -17000 Round 0.0001442021754 to 6 decimal places. 0.000144 What is -0.025863763 rounded to 3 dps? -0.026 What is -0.00937135465 rounded to 3 dps? -0.009 What is -9.8543617 rounded to two decimal places? -9.85 What is -9270.35 rounded to 0 decimal places? -9270 Round -0.00173879322 to 4 dps. -0.0017 What is -323105.4554 rounded to the nearest ten thousand? -320000 Round -182.2263397 to 1 dp. -182.2 What is 8180065538 rounded to the nearest 1000000? 8180000000 Round 173745.64 to the nearest one thousand. 174000 What is 45385697 rounded to the nearest ten thousand? 45390000 Round 1.3853019 to 2 dps. 1.39 Round -281.015122 to the nearest 100. -300 What is -16956.42 rounded to the nearest 10000? -20000 What is -0.005161508 rounded to two dps? -0.01 What is 192268.4018 rounded to the nearest 100? 192300 Round 2007.066339 to 1 dp. 2007.1 What is -0.1584747535 rounded to 5 dps? -0.15847 What is -425124207 rounded to the nearest ten thousand? -425120000 What is 6847999350 rounded to the nearest one hundred thousand? 6848000000 Round 19755.571 to the nearest one thousand. 20000 Round 14263542 to the nearest one thousand. 14264000 Round -10865570.7 to the nearest 100000. -10900000 Round 43779.37429 to the nearest 100. 43800 What is -0.0435282126 rounded to 3 dps? -0.044 Round -1.294312385 to the nearest integer. -1 Round 0.2376116987 to 2 dps. 0.24 What is 0.336436352 rounded to one decimal place? 0.3 What is 0.225086911 rounded to 3 dps? 0.225 What is -0.0240368921 rounded to five decimal places? -0.02404 Round 0.074904398 to five decimal places. 0.0749 What is 0.00048387454 rounded to seven dps? 0.0004839 Round 676867092 to the nearest one million. 677000000 What is -580722.547 rounded to the nearest one hundred thousand? -600000 Round 69.8382995 to 1 decimal place. 69.8 What is 1855.267601 rounded to the nearest 100? 1900 What is 3746324.5 rounded to the nearest one hundred thousand? 3700000 Round -137916653.4 to the nearest one million. -138000000 What is -934.997791 rounded to the nearest one hundred? -900 Round 23.3405369 to two decimal places. 23.34 What is 181195987160 rounded to the nearest 1000000? 181196000000 What is 12066990.8 rounded to the nearest 1000? 12067000 Round 572.37494 to the nearest ten. 570 Round 3719352880 to the nearest 1000000. 3719000000 What is 1.32274655 rounded to 2 decimal places? 1.32 Round -0.0000004088526963 to 7 decimal places. -0.0000004 Round 4.180701957 to 4 decimal places. 4.1807 Round -2.409928239 to 4 dps. -2.4099 Round -3255.5237 to the nearest 10. -3260 What is 0.91112217 rounded to 3 dps? 0.911 Round 0.00000010169436 to seven dps. 0.0000001 Round -0.102946898 to three decimal places. -0.103 Round -0.00546804492 to 6 decimal places. -0.005468 Round -0.003004052803 to 7 decimal places. -0.0030041 Round -0.00063055669 to 6 dps. -0.000631 What is 0.01013894851 rounded to three dps? 0.01 Round 133.8764 to one dp. 133.9 What is -0.000037084857 rounded to five decimal places? -0.00004 What is 0.003787264409 rounded to 4 decimal places? 0.0038 Round 44.35337064 to three dps. 44.353 What is -0.01770196321 rounded to five dps? -0.0177 Round 0.0000070448785 to seven decimal places. 0.000007 What is 0.0000747418129 rounded to six decimal places? 0.000075 Round 1397065050 to the nearest one million. 1397000000 Round -60499.3278 to the nearest 10000. -60000 Round -0.00367341495 to 7 decimal places. -0.0036734 What is 30391188.72 rounded to the nearest 10000? 30390000 Round 1022.8199667 to one decimal place. 1022.8 Round 90092489 to the nearest ten thousand. 90090000 Round 14.234475329 to one decimal place. 14.2 Round -12.4992417 to 2 dps. -12.5 What is -40476371200 rounded to the nearest one million? -40476000000 Round -273601990 to the nearest ten thousand. -273600000 Round 14141.7337 to the nearest integer. 14142 Round 0.00204595859 to 4 dps. 0.002 Round 811.010229 to the nearest 100. 800 What is -12731249 rounded to the nearest 10000? -12730000 Round -39091.98554 to the nearest integer. -39092 Round -15964.228 to the nearest 1000. -16000 What is -1.131050221 rounded to 3 decimal places? -1.131 Round 0.000844995291 to six decimal places. 0.000845 What is -1394430 rounded to the nearest 100000? -1400000 What is -16570.3127 rounded to the nearest 100? -16600 Round 0.0000392930138 to 6 dps. 0.000039 What is -0.0066320016 rounded to three decimal places? -0.007 Round 0.00009735522 to 6 decimal places. 0.000097 What is 0.005143030332 rounded to five decimal places? 0.00514 What is 112.68907401 rounded to 1 dp? 112.7 Round 0.00658806585 to 6 decimal places. 0.006588 What is -7.13315576 rounded to zero decimal places? -7 Round 1033076856.5 to the nearest ten thousand. 1033080000 What is 0.000330635651 rounded to six decimal places? 0.000331 What is 57.49742797 rounded to the nearest integer? 57 Round -99.043441 to one dp. -99 Round 0.0001269834677 to 6 dps. 0.000127 What is -0.0008602874 rounded to 5 decimal places? -0.00086 What is 3286.12194 rounded to the nearest one thousand? 3000 What is -0.00263569713 rounded to 7 dps? -0.0026357 What is -754.65115 rounded to 0 dps? -755 What is 730924.3763 rounded to the nearest one hundred? 730900 What is 0.00046803641 rounded to four dps? 0.0005 Round 2203116 to the nearest ten thousand. 2200000 What is -0.00025455291 rounded to 5 dps? -0.00025 Round -0.494909055 to three dps. -0.495 What is -483352.41 rounded to the nearest one hundred? -483400 What is -0.00003667647519 rounded to six dps? -0.000037 Round 0.2107584359 to three decimal places. 0.211 What is 5892.57314 rounded to the nearest one hundred? 5900 What is 56.1369998 rounded to the nearest integer? 56 Round 0.002364478801 to five dps. 0.00236 Round -6955.9225 to the nearest 10. -6960 Round -0.000631016678 to six decimal places. -0.000631 What is 4696.209805 rounded to 0 dps? 4696 What is -1306281551 rounded to the nearest 100000? -1306300000 Round 0.025504861 to four decimal places. 0.0255 Round -37.063169 to two decimal places. -37.06 What is 58.74452 rounded to 0 decimal places? 59 What is -3328035.764 rounded to the nearest one hundred? -3328000 Round -25734309600 to the nearest 1000000. -25734000000 Round -0.06430098265 to 2 dps. -0.06 Round -0.117926531 to two dps. -0.12 Round 0.00559693292 to seven dps. 0.0055969 Round -116.0029906 to the nearest ten. -120 What is 148.720159 rounded to the nearest ten? 150 Round -0.002180305615 to seven decimal places. -0.0021803 Round 233627638 to the nearest ten thousand. 233630000 What is 25971659 rounded to the nearest 10000? 25970000 Round -0.01212026029 to 6 decimal places. -0.01212 What is 19.8752156 rounded to 3 dps? 19.875 Round 1.32327124 to 3 decimal places. 1.323 What is -4.6867849 rounded to the nearest integer? -5 Round -51402738 to the nearest one hundred thousand. -51400000 Round 0.000402291069 to four decimal places. 0.0004 Round 0.0000677965526 to six dps. 0.000068 Round 2515500343 to the nearest 1000000. 2516000000 What is 7.0164424 rounded to 2 dps? 7.02 What is -1057440120 rounded to the nearest one hundred thousand? -1057400000 Round 0.000683815632 to 4 decimal places. 0.0007
Let n be 146/10 + (-4)/(-10). Suppose 0 = -5*q - o + 18, 3*q - n = -2*o. Suppose q*g - 15 = -0*g. What is the smallest common multiple of g and 1? 5 Suppose -247 = -0*t - 5*t + 3*k, t - 2*k - 55 = 0. Find the common denominator of t/(-4) + -2 + 3 and 117/10. 20 Calculate the common denominator of (5*36/(-150))/(218/10) and 2/7. 763 Find the common denominator of 51/14 and ((-2)/16)/(6/(-117)). 112 Let i(a) = -a**3 - a**2 - a. Let p(r) = 5*r**3 + 4*r**2 + 4*r - 2. Let d(s) = -4*i(s) - p(s). What is the smallest common multiple of 12/9 + 24/9 and d(-2)? 20 Find the common denominator of -163/30 and (-60)/14 + -7 + 7. 210 Let v(b) = -b - 6. Let g(q) = q + 2. Let i be g(-10). What is the least common multiple of 1 and v(i)? 2 Let c(y) = -61*y - 1. Let k(m) = -61*m - 1. Let f(d) = 4*c(d) - 5*k(d). Let x be f(-1). What is the common denominator of 51/16 and 2/x*132/8? 80 Calculate the common denominator of 1/4 - 100/20 - -2 and 89/(-36) - 1/4. 36 Suppose 0 = -x - 1, -4*x = 3*t + t + 628. Calculate the common denominator of -5/9 and 4 + -1 + t/40. 90 Let u = 24/113 - -7235/1582. Find the common denominator of (-2)/(-6) + (-154)/(-96) and u. 112 Let o be (-737*3/(-12))/2. Let y = o - 92. What is the common denominator of -139/12 and y? 24 Suppose 3*k - 6 = 24. Calculate the smallest common multiple of 20 and k. 20 Suppose 22 = v - 11. Suppose -v = -2*n + 11. Calculate the smallest common multiple of n and 12. 132 Let i be -2*3/6 - -4. Suppose i*y + 19 = 31. Calculate the smallest common multiple of y and 8. 8 Let z = 23383/3688 + 16/461. Find the common denominator of 2*(-2)/((-40)/19) and z. 40 Let o(k) = k**2 - 8*k - 3. Let l(f) = f**2 - 7*f - 2. Let m(h) = 6*l(h) - 5*o(h). Calculate the least common multiple of 6 and m(-3). 18 Find the common denominator of -12/7 and (-7)/70*(-1 + 2 + -5). 35 Let c(f) be the second derivative of f**5/20 + f**4/6 - f**3/3 + 2*f**2 + 2*f. Let u be c(-3). Find the common denominator of (3/6)/(u/(-86)) and -11/2. 2 Let p be 1906*((-2)/56 + 0). Let k = -200/7 - p. Let j = -1015/6 - -166. Calculate the common denominator of j and k. 6 Suppose -2*y - 35 = -3*l - 0*y, l = y + 12. What is the common denominator of l/(-1) + 6/9 and (51/(-42) - (-3 - -2))*26? 21 Let b(w) = -w**3 + w**2 + 4*w + 3. Suppose -3*p = 2*p + 10. Let d = 9 + -5. What is the lowest common multiple of d and b(p)? 28 Suppose 26 = -t - 3*d - 0*d, -t = -3*d + 14. Calculate the least common multiple of 9 and 2*t/(-16)*2. 45 Let u be 156/(-6)*(-1)/2. Suppose 3*h = -1 + u. Calculate the least common multiple of h and (-32)/(-6) - (-8)/12. 12 Let r(t) = -t**3 + 7*t**2 + 2*t. Suppose -5*q + 10*q - 51 = -4*w, -3*w - 23 = -5*q. Calculate the lowest common multiple of r(q) and 10. 70 Let y(a) = a**2 + 3*a - 13. Calculate the lowest common multiple of y(-6) and 4. 20 Let o = 35805/8 + -4468. Let p = -557/6 - -93. What is the common denominator of o and p? 24 Suppose -5*t + 5 = -4*t. Suppose -80 = t*w + 10. Calculate the common denominator of 121/12 and (339/15)/(w/(-5)). 36 Let x(y) = 3*y. Let r be x(-6). Let a be (-1)/4 - r/8. What is the common denominator of 115/6 and 2 + a + 334/(-44)? 66 Suppose -2 = -5*o + 58. What is the least common multiple of 22 and o? 132 Suppose -o + 4*x + 0 = 2, -2*o - 4*x = -44. Let n = -35 + 39. What is the least common multiple of n and o? 28 Let u(v) = v**3 + 2*v**2 - 2*v + 2. Let y be u(4). Suppose 0*b = 5*b - y. Calculate the lowest common multiple of b and (9/(-12))/((-4)/32). 18 Let q = 67 - 39. Suppose 0 = 2*j + 2*j - q. What is the least common multiple of (-34)/(-6) + 4/12 and j? 42 Suppose 240 = -3*f + 5*f. Find the common denominator of (-15)/4*f/(-99) and 65/3. 33 Let s(w) = 2*w**2 - w - 4. Calculate the least common multiple of 7 and s(2). 14 Let p = -48/559 + -460280/3913. Let r = p - -115. Find the common denominator of r and 2/8 - (-346)/(-40). 35 Let v(w) = -12*w - 4. Let x be v(3). Find the common denominator of 6/8 + (-38)/x and -79/4. 20 Let w = 27 + -13. Suppose 4*n = y - 24, -2 - 4 = 3*n. What is the smallest common multiple of y and w? 112 What is the common denominator of -15 + 14 - (-53)/(-5) and 37/3? 15 Let c = 10 + 1. Let u = c + -3. Let m = 18 + -8. Calculate the least common multiple of m and u. 40 Suppose 4*t - 94 = -2*a, 47 = t + 3*a + 16. Calculate the least common multiple of 18 and t. 198 Let z be (-482)/(-626)*391/63. Let s = z + -2/2191. What is the common denominator of 10/7 and s? 63 Suppose -5*f + 3*f = -4. Let m = -30 + f. What is the lowest common multiple of (m/(-10))/(1/5) and 16? 112 Let u(q) = -1 + 1 - 3*q. Let d = 5 - 7. Calculate the smallest common multiple of 7 and u(d). 42 Let d = -3/499 + -14405/10978. Find the common denominator of (-1)/(4/6) + (-243)/(-45) and d. 110 Let u be ((-110)/11)/(1/3). Let f = u - -44. What is the least common multiple of 20 and f? 140 Let w = 9 + 18. What is the common denominator of (-6)/16*w/(-1) and -18/7? 56 Let c = -1710 + 17033/10. Let x be 11/2 + 1/(-2). Find the common denominator of (-2)/x*590/(-8) and c. 10 What is the common denominator of -1/9 and 415/25*5/33? 99 Suppose w = 4 - 1, 78 = 3*c - 3*w. Suppose 0 = 2*s - c + 9. Let z(x) = -3*x - 1. What is the least common multiple of s and z(-1)? 10 Let h = -153/586 + -490339/12892. Let t = 309/22 + h. Let m = -313/19 - -3261/266. What is the common denominator of m and t? 28 What is the common denominator of ((-52)/(-24))/(4 - (-17)/(-4)) and -23/27? 27 Let g = -27803/12 + 2320. Calculate the common denominator of -7/12 and g. 12 Let c = 136 + -112. What is the lowest common multiple of 22 and c? 264 What is the lowest common multiple of 8 and 3 + (-34*1/(-2) - -1)? 168 Let m = 6 + 2. Let d = 4 + m. Calculate the lowest common multiple of 14 and d. 84 Calculate the common denominator of 117/14 and 33/(-4) + -2 + 3. 28 Let i(g) = -g**2 - 7*g - 3. Suppose 4*d - 4 = 8. Suppose -d*v - 9 = -4*v. Calculate the least common multiple of v and i(-5). 63 Let w be (-6)/(-2) - 305/5. Let d = 6 - 6. Calculate the common denominator of 11/9 and (d - 1) + w/(-6). 9 Let j = -37 + 26. Calculate the common denominator of (j/6)/((-12)/9) and -29/6. 24 Let x = 34 + -23. What is the smallest common multiple of 2 and x? 22 Suppose -681 - 957 = -7*d. What is the smallest common multiple of 5 and d? 1170 Suppose q - 165 = -2*r - 23, -2*q + 215 = 3*r. Calculate the least common multiple of r and 10. 690 Suppose 0 = -5*l - 5*r, 3 = -0*l - l - 4*r. Suppose -2*a - l = -5. Suppose a*d = 8 + 8. What is the smallest common multiple of 9 and d? 72 Let f = -886 - -8877/10. Let t = 373/35 - 54/5. Find the common denominator of f and t. 70 Let h = 13835/14 - 986. Suppose -3*m = m. What is the common denominator of (-99)/(-48) + -1 + m and h? 112 Let c = 11349/4 + -2816. Let d = -190 + 1897/10. What is the common denominator of d and c? 20 Let h = 62 + -46. Calculate the least common multiple of h and 68. 272 What is the common denominator of (-39)/(-7)*(-36)/(-24) - 2 and 33/14? 14 Let k = -169/2 + 75. Let u(c) = -8*c**2 - 3*c + 2. Let g be u(3). What is the common denominator of k and g/(-16)*(7 + -5)? 8 Let z(b) = b - 1. Let r be z(3). Calculate the common denominator of -19/18 and r/(-21)*342/24. 126 What is the smallest common multiple of 1 and (-6 + 4)*(1 - 2)? 2 Suppose 0 = -4*x - 47 - 129. Find the common denominator of 4/x*(0 - -31) and -27/4. 44 Let b be (-4)/(-20) - 19/(-5). Suppose b*x = -9 - 7. What is the smallest common multiple of 6 and ((-6)/x)/((-2)/(-8))? 6 Let q(g) = -2*g**3 + 9*g**2 - 6*g + 1. Calculate the smallest common multiple of 10 and q(3). 10 Find the common denominator of ((-228)/216)/(2/6 + 0) and 71/28. 84 Let s be -132621*1*(1 - 2). Let b be (2 - 0) + s/46266. Let p = 2/701 - b. What is the common denominator of -49/22 and p? 22 Suppose 0 = 4*j + j - 4*n - 7, 3*j = -4*n + 17. Suppose -j*x + 9 = -0*x. What is the least common multiple of 6 and x? 6 Let t = 30371/3512 - 10/439. Calculate the common denominator of t and -83/14. 56 Let s(k) = -3*k - 12. Calculate the least common multiple of s(-8) and 9. 36 Let k be ((-11)/(-8))/(6/3208). Let s = k - 738. Calculate the common denominator of 151/6 and s. 6 Suppose 4*v + 2*h - 108 = -v, 91 = 4*v - 3*h. Calculate the smallest common multiple of v and 12. 132 Find the common denominator of ((-314)/(-48))/1 + (-4)/6 and -21/16. 16 Suppose -1528 = n - 0*n. Let j = 6173/4 + n. Find the common denominator of -61/10 and j. 20
Let y = 6103/2926 - 90/133. What is the common denominator of y and 26*-1*(-3)/4? 22 Let v(z) be the third derivative of -z**6/120 - z**5/12 - z**4/24 + 2*z**3/3 + z**2. Calculate the least common multiple of v(-5) and 1*2/(-8)*4 + 4. 9 Calculate the least common multiple of 20/(-5)*-5 + 1/1 and 8. 168 Let n = 1 + 3. What is the least common multiple of n and 1? 4 Let l = 6611/30 + -1031/5. Let n = 2/624887 + -4406703134/3124435. Let j = n + 1398. Calculate the common denominator of j and l. 30 Let i be (0/(-5))/(-1 - 1). Let l be (-278)/132 - (i - -3). Let b = l - -36/11. Find the common denominator of -9/2 and b. 6 Suppose -3*l - 2*l = 735. Let i = -4/111 - -4579/777. What is the common denominator of l/9 - (0 - 1) and i? 21 Let b = -7/4 - -41/20. Find the common denominator of 71/9 and b. 90 Let f = 19 - 72. Let d(w) = 11*w**2 + 1. What is the smallest common multiple of f/(-3) + 1/3 and d(-1)? 36 Suppose 5*w - 5*s - 135 = 0, -2*w - 123 = -6*w + s. Suppose 30 - 54 = -2*d. Calculate the smallest common multiple of d and w. 96 Calculate the common denominator of -55/4 and (-11)/198*(-3)/4*-2. 12 Let y(t) be the third derivative of -t**6/120 - t**5/15 + t**4/8 - t**3/6 + 4*t**2. What is the least common multiple of y(-5) and 9? 9 Suppose -4*j + 16 = -h, -5*j + 2*h + 11 = 3*h. Let f = -2 + j. What is the common denominator of 77/18 and (((-83)/22)/f)/(-1)? 198 Let v(m) = -m**2 + 6*m + 32. What is the least common multiple of 38 and v(8)? 304 Suppose -10 = -g - 2*j - 0*j, 5*g + j = 32. Calculate the smallest common multiple of g and 24. 24 Calculate the common denominator of (15/40)/(9/222) and -67/14. 28 Let u(m) = 2*m**2 + m + 2. Let q(f) = f**2 + f + 2. Let g(j) = -3*q(j) + 2*u(j). What is the lowest common multiple of 12 and g(-3)? 60 Suppose -3*f + 3*r + 24 = -33, 67 = 4*f - r. Calculate the smallest common multiple of 6 and f. 48 What is the common denominator of (30/36 + 0)/((-26)/66) and -29/18? 234 Suppose -5*p + 3*n - 11 = 0, -4*n = -9*n + 10. What is the common denominator of -6 and (-76)/14 + p + -2? 7 Let z(a) = a + 11. What is the least common multiple of z(-5) and 74? 222 Suppose -2*b + 31 = -b. Let x = b - 19. Find the common denominator of ((-147)/x + -1)/2 and -23/20. 40 Let w be 2/(-3)*3 + 3. Let d = 1 + w. Suppose -6*a + 3*x = -3*a - 57, -4*x = d*a - 56. What is the lowest common multiple of 16 and a? 176 Let w = 5 + -10. Let q = w - -9. Calculate the smallest common multiple of 4 and q. 4 Suppose y - 3*a - 33 = -2*y, 2*y - 30 = 4*a. Suppose 1 + 2 = -3*s - 3*f, -f = 5*s - y. Find the common denominator of -25/22 and (0 + (-123)/(-6))/s. 44 Suppose -2*v + 4*g - 8 = 0, 0 = -v + 5*g + 5 - 21. Let r = 1 + v. Let z = 19 - r. What is the least common multiple of 20 and z? 140 Suppose -j = -2*l + 4, -j - 4*l = -4*j - 4. Calculate the smallest common multiple of j and ((-121)/44)/(-2 + (-30)/(-16)). 44 Let a = 6858 + -41027/6. Let o be (402/120)/((-6)/5). Let f = o - -1/8. What is the common denominator of a and f? 6 Let p(w) = -5*w - 4. Calculate the least common multiple of p(-6) and 14. 182 Let a be 1 - (83237/41625 + -1). Let j = a - -538003021/333000. Let c = -1621 + j. What is the common denominator of c and 51/22? 88 Find the common denominator of 35/18 and ((-172)/252)/((-3)/9). 126 Let j(h) = 2*h - 2. What is the smallest common multiple of j(2) and 126? 126 What is the common denominator of -5/16 and (1/25)/(12/(-885))? 80 Let m(x) = -2*x**3 + 2*x**2 + 9*x + 6. What is the least common multiple of 12 and m(-4)? 780 Let t = 11 - 19. Let r = t + 20. What is the lowest common multiple of r and (8/(-6))/(6/(-99))? 132 Let t = 84 + -75. What is the least common multiple of 2 and t? 18 Suppose 12 = 5*b - z - z, z - 24 = -5*b. What is the lowest common multiple of 8 and b? 8 Let a = 4 - 1. Suppose -a*b + 24 = b. Suppose 5*m = 4*c - 9, -7*c - 4*m = -2*c - 1. Calculate the smallest common multiple of c and b. 6 Let y(b) = b**3 + 6*b**2 + 3*b + 3. Let q be y(-6). Let j = q + 21. Suppose j*o - o = 40. What is the smallest common multiple of 2 and o? 8 Let y be 2/(-3)*(-1 - -13). Let i = -61 - 53. Find the common denominator of i/y*8/(-10) and -39/4. 20 Let u(o) = o + 10. Let m be u(-8). Suppose -3*v - m + 8 = 0, 0 = 3*j - 5*v - 65. Let f = j - 7. Calculate the least common multiple of 16 and f. 144 Let c = 56 - 38. Suppose -t = c + 3. Let y = -250 - -1807/7. Find the common denominator of t and y. 7 Let n = -1398 - -12526/9. Let o be ((-283)/(-5))/(-1)*2. Let y = o + 5249/45. Find the common denominator of y and n. 9 What is the smallest common multiple of 5 and 6/14 + (-36)/(-63)? 5 Let c(t) = 19*t - 5. Let y be c(2). Let m = 133/4 - y. What is the common denominator of m and (67/(-12))/((-1)/(-2))? 12 Let v = -7341/16 - -459. Find the common denominator of -49/4 and v. 16 Let c = 689/2 + -364. What is the common denominator of 42/5 and c? 10 Let i(n) = n**2 + 4*n - 5. Let w be i(-7). Suppose 5*k + w = 61. Let o(d) = -d + 10. Calculate the least common multiple of o(6) and k. 36 Let b(r) = r**2 - 9*r + 18. Suppose 3*a - 2*p + 1 = 0, a + 3*p = 9 - 2. What is the lowest common multiple of 1/(-1) + a*17 and b(8)? 80 Suppose 4*x = h + 13 - 6, 0 = -5*x + 4*h - 5. Suppose 4*f + 4*n - 12 = 0, -x*f + n - 1 = -26. Calculate the least common multiple of 9 and f. 63 Let m be 2/(-4) + 18/4. Suppose m*a - 50 = -a. What is the lowest common multiple of a and 10? 10 Calculate the smallest common multiple of ((-9)/6)/(6/(-16)) and 6. 12 Calculate the common denominator of 6/(-4)*(-4)/(-24) and (-1)/4*82/3. 12 Suppose 2*z + 0*z - 1316 = 0. What is the common denominator of z/90 + 3/(-15) and (-6)/4*41/3? 18 Calculate the common denominator of -61/18 and (4/670)/(60/3975). 1206 Let w = -22 + 45/2. Suppose -96 = -0*n - 3*n. Find the common denominator of n and w. 2 Let w be (-30084)/16 + (-6)/8. Let h = w + 9448/5. What is the common denominator of h and 61/39? 195 Calculate the smallest common multiple of 48 and 4/(-12) + (-440)/(-24). 144 Suppose 0 = -3*k + 2*q - 4 + 12, 20 = -3*k - 5*q. Let n be 1 + k + (-743)/(-495). Let c = n - 10/99. Calculate the common denominator of c and -24/11. 55 Suppose -4*p - 20 = 36. What is the common denominator of (-101)/(-2)*(-7)/p and 83/4? 4 Let t = 56411/14 + -4027. Let n = t + -124/63. What is the common denominator of 11/14 and n? 126 Let t = 11 + -7. Suppose 4*i - 2*y - 36 = 0, -4*i + 0*i = t*y - 36. Let f = 3 + i. What is the lowest common multiple of 8 and f? 24 Let a = -85031/154 + 6120/11. Calculate the common denominator of 6/(-20) + 2295/400 and a. 112 Suppose 4*g - 16 + 48 = 0. Let b = -395/666 - 2/111. Find the common denominator of g/32 - (-69)/(-4) and b. 18 Let b(s) = -551*s**3 - s**2 - 5*s + 4. Let y be b(3). Let z = -178897/12 - y. Find the common denominator of 67/20 and z. 60 Suppose -2*v - 3*v = -20. Let r = 8 + v. Suppose -4*k + 68 = -4. Calculate the lowest common multiple of k and r. 36 Suppose -5 = -2*c - 1. Suppose 4 + 4 = c*a. Calculate the common denominator of 2/3 and 1 + (-1)/(3/a). 3 Suppose 2*h - 35 = -2*d - h, -5*h = -25. Calculate the lowest common multiple of d and 10. 10 Let u(f) = f**2 + 6*f - 11. Let h(d) = -2*d + 4. Let s be h(6). Let a be u(s). Suppose 0 = -a*k + 9 + 26. What is the smallest common multiple of k and 7? 7 Let a = 1437/116 + 54/29. Let v = -31685 + 44680. Let x = -182031/14 + v. Calculate the common denominator of x and a. 28 Let l = 1100 - 10911/10. Find the common denominator of l and -1 - 2/(88/58). 110 Suppose -2*s = -y + 18, -5*y - 42 = -7*y + 2*s. What is the lowest common multiple of y and 34? 408 Let v = -70087/9735 + -1/1947. Calculate the common denominator of v and -79/2. 10 Let h = -3234/5 - -638. Find the common denominator of 56/5 and h. 5 Let q = -7 + 11. Suppose -q*f - r = f, -5*r = 0. Suppose 0 = -f*u - 3*u + 24. What is the least common multiple of 7 and u? 56 Let o(k) = k - 7. Let t be o(7). Suppose 0*g - 4*g = -44. What is the lowest common multiple of 7 - 1 - t - 2 and g? 44 Suppose 24 = -4*h + h. Let i = h - -11. Calculate the least common multiple of i and 10. 30 Let u = 37 - 17. Suppose 3*w - 128 = -5*w. What is the smallest common multiple of u and w? 80 Let p = -5507/975 - 6/325. Find the common denominator of p and 79/10. 30 Let k be (682389/(-20))/(3 + -6). Let z = 11376 - k. What is the common denominator of 109/18 and z? 180 Let z = -2 - 6. What is the smallest common multiple of 5 and ((-18)/z)/((-8)/(-32))? 45
Solve 3*j = 5*d + 47, 5*d + 72*j = 68*j + 51 for d. -1 Solve 5*n = 4*t - 0 + 14, 20*n - 10*n + 44 = -4*t for n. -2 Solve -4*y + 12 + 4 = -4*x, -11 = y + 2*x for y. -1 Solve 0 = -4*i - 5*b + 22 + 49, -i - 4*b = -48 for i. 4 Solve -5*g - 25 = 3*o, 4*o - 5*g = -16 - 29 for o. -10 Solve -5 = 5*m + 4*t, -280*t + 284*t = 20 for m. -5 Solve -60 = 4*n - 4*d, 4*n - d + 36 - 6 = 0 for n. -5 Solve y = -61*p + 60*p + 12, -12*y - 3*p = -81 for y. 5 Solve 3*p - 27 = 4*h, 2*p + 53 = -2*h + 57 for h. -3 Solve -4*d - 4*f = -1 + 25, -d = -2*f - 9 for d. -1 Solve -11*f = -2*b - 8*f - 5, -2*f + 10 = -3*b for b. -4 Solve -7291*i + 7292*i = -3*r + 3, i = 15 for r. -4 Solve 5*t - 3*k + 10437 - 10408 = 0, -k = -t - 7 for t. -4 Solve -49 = 7*i + 5*b, 5*i + 3*b = -36 + 1 for i. -7 Solve -o + 1 = 3*c - 3, 39787 = -2*c + 39789 for o. 1 Solve -x + 3*r = -0*r + 43, 0 = 12*r - 15*r + 48 for x. 5 Solve -4*t - 4 = 0, -13*p + 3 = -12*p - 3*t for p. 0 Solve 4*d + 2*a = 42, -5*d - 37*a + 42*a - 30 = 0 for d. 5 Solve -22 + 7 = 3*m, -53*z = -55*z - 2*m for z. 5 Solve -8*p = 12*n - 3*n - 4*n + 19, -2*n = -2 for p. -3 Solve -4*d - 12 = 4*q, 63*q + d + 8 = 67*q for q. 1 Solve f + 47 = -3*s + 8*f, -9 = -20*s + 21*s - f for s. -4 Solve 107*k - 105*k = 4*a + 26, 2*k = -4*a - 30 for a. -7 Solve 11*z - 4*o = 15*z + 28, -36 = 6*z + 4*o for z. -4 Solve 4*p = -6*x + 16, -5*p = -2*x + 15 - 35 for p. 4 Solve 0 = -1211*o + 1215*o + 5*t + 13, -2*o - 4 = 2*t for o. 3 Solve 2*p - 2 = 2*z, 4*z + 227 = -3*p + 251 for z. 3 Solve 26 = -4*w + 10*y, -2*y = -3*w + 103 - 106 for w. 1 Solve 672*r + 23 = -4*b + 677*r, -r = 2*b + 1 for b. -2 Solve -5*h + 4*a + 17 = 0, -h - 2*a = -513 + 504 for h. 5 Solve 9*t - 26 = -53, -6 = -3*j + 5*t for j. -3 Solve 0 = 2*n + h - 7, -2161*n = -2163*n - 2*h + 12 for n. 1 Solve -q = -k - 2, 4*k - 2*q + 243 - 229 = 0 for k. -5 Solve -5*j + 214*c - 28 = 215*c, 3*j + c + 18 = 0 for j. -5 Solve 308*t - 5*l = 307*t - 8, -3*l + 60 = 4*t for t. 12 Solve 104*k - 3*p = -416, 5*k - 2*p - 4 = 6*k for k. -4 Solve u = 2*i + 11, -3*u - 79414*i + 79417*i + 18 = 0 for u. 1 Solve -5 = -t + 41000*d - 40998*d, -13 = -3*t + 4*d for t. 3 Solve 0 = -4*j - f + 27, 2*f = 3*j + 45 - 35 for j. 4 Solve -3*j + 313 = -4*z + 305, 5*z = -25 for j. -4 Solve 2*g - 51 = 1459*v - 1464*v, -5*v + 12 = -g for g. 13 Solve 2*g - 209 + 191 = 2*n, 0 = -5*g + 3*n + 33 for g. 3 Solve 4*l + 32 = 4*j, -19 = -3*l - 3*j + 17 for l. 2 Solve 4*x - 9*x + 4*c + 42 = 0, -2*x - 7*c = -34 for x. 10 Solve -4*h + 4 = 4*p, -2*h + 68 = -4*p + 84 for p. 3 Solve -2*u + 20 = -5*f, 2*u = -72*f + 68*f - 34 for u. -5 Solve 2*y + 0*y + 3*r - 24 = 0, 32 = 4*y + 2*r for y. 6 Solve 16*s = 11*s - 4*a - 15, -2*a = 8*s + 46 for s. -7 Solve 3*r + i - 16 = 0, -4*i = 9 - 25 for r. 4 Solve 2*v - 3*n = -77, 103 = -3*v + 39*n - 35*n for v. -1 Solve -p - 17 = -b - 22, 5*b - 4*p + 27 = 0 for b. -7 Solve 0 = -5*k + 5, -12*x + 64 = -k + 29 for x. 3 Solve n + 50 - 27 = 3*q, -45 = -5*q for n. 4 Solve 5*o = 5*s + 30, -12*s = -16*s - 5*o + 48 for s. 2 Solve -9*k + 13*k = 4*y + 12, 5*y + 4*k + 33 = 0 for y. -5 Solve 5*c + 84*q - 167*q + 10 = -85*q, -8 = 4*c - 2*q for c. -2 Solve -15*c + 12*c = 4*v + 8, 0 = 5*c + 3*v + 17 for c. -4 Solve -q = -2*t - 26, -2 = 2*t + 59*q - 54*q for t. -11 Solve 81 = -4*h - 5*t, 5*h - 5*t + 4991 = 4901 for h. -19 Solve 13*o - 60 = -4*d, 0 = 2*o - 275*d + 271*d for o. 4 Solve 22*f - 24*f + 21 = 3*n, -21 = 13*f - 3*n for f. 0 Solve -4*s = -3*b + 39, 2*b + 643*s = 647*s + 34 for b. 5 Solve -2*w - 58*i = -57*i - 31, 24 = 8*i for w. 14 Solve o + 4*q + 66 = 0, 86*q - 90 = 5*o + 91*q for o. -2 Solve -3*o + b + 442 - 449 = 0, 2*o - 5*b + 9 = 0 for o. -2 Solve 0 = -2*j + 5*c + 22, -93*c + 91*c - 5 = 3*j for j. 1 Solve 11*y + 4*n = 13*y + 8, -5*y + 5*n - 15 = 0 for y. -2 Solve -2*m - 36 = 4*t, -4*m - 10 = -5*t - 29 for m. -4 Solve -31 = -4*u - 5*x - 37, -u + x - 6 = 0 for u. -4 Solve 2856 = 3*c + 2853, v + c - 6*c + 10 = -0 for v. -5 Solve -8 = 3*j + x - 7, -22*j + 17*j = -2*x - 13 for j. 1 Solve 38 + 220 = -17*j - 5*g, 10 = -j + g for j. -14 Solve -3*g + 2*h = -3, 3*g - 5*h + 112 = 115 for g. 1 Solve 6444*y - 3*m - 16 = 6439*y, y = 4*m + 10 for y. 2 Solve 16 = -4*a, -23152*q + 23154*q = -a + 18 for q. 11 Solve -10*y = i + 19, 12 = -3*i + 2*y + 19 for i. 1 Solve 123*a + 23 = 120*a + 4*x, 24 = 3*x for a. 3 Solve -3 = 4*z + g, 3*g = 18*z - 14*z + 7 for z. -1 Solve -6 = -3*l, 16*n + 2*l - 1 = 13*n - 6 for n. -3 Solve 2*q - 23*n - 44 = 0, 5*n + 14 = -2*q - 2*q for q. -1 Solve 0 = -5*m + 9*m - 4*h - 28, -2*m + 3*h + 19 = 0 for m. 2 Solve -2*x - 605*o + 607*o = -10, 2*o + 10 = 4*x for x. 0 Solve c - 12 = 2*j, -2*j - 401 + 393 = c for j. -5 Solve -5*f - 3*o = 4, f = -4*o + 83 - 77 for f. -2 Solve 0 = 3*m + 2*m, -294*r = -293*r + 2*m - 14 for r. 14 Solve 2*m + 4 = 2*x, 0 = -58363*m + 58368*m + 4*x + 28 for m. -4 Solve -5*g = -2*q - 12, 2*q - 734 + 742 = 4*g for q. 4 Solve 4*i = 5*z - 47, -190 + 212 = 2*z for i. 2 Solve -2*g - 61*h - 2 = -60*h, -2*g + 5*h - 2 = 0 for g. -1 Solve 3*t - 61 = -11331*b + 11335*b, 12*t = -4*b - 76 for b. -16 Solve -3*n - 22 + 27 = -5*r, 2*n + 18 = -2*r for n. -5 Solve 5*s + 2*m = 7, -s - 7801 = 4*m - 7806 for s. 1 Solve -5*h + 6*a - 130 = -20*a, h + 5 = a for h. 0 Solve -326*s + 327*s = w + 5, 0 = 2*w - 4*s + 10 for w. -5 Solve 2 = c + z, 65*z + 13 = 5*c + 67*z for c. 3 Solve -5*u = -4*h + 37, -5*h + u + 1168 - 1127 = 0 for h. 8 Solve 0 = 5*y - 2*j - 36, -14*y = -9*y - 5*j - 90 for y. 0 Solve 5*t - 11 = -3*s, 3*t - 2*s + 109 = 127 for t. 4 Solve 5*b + 14 = -4*h, 8*h = 13*h - 4*b - 3 for h. -1 Solve -28 = -5*u - 2*n, 4*n = 468*u - 469*u + 20 for u. 4 Solve -5*l + 24 = -4*q, 68*l - 66*l - 300 = 50*q for q. -6 Solve u = 24*n - 22*n - 7, -5*n + 10 = 0 for u. -3 Solve -4*m + 4*l - 507 = -467, m + 355 = 70*l for m. -5 Solve -2*w - 2*q - 2 = 0, 723*w + 52*q + 4 = 719*w for w. -1 Solve -4*j + 2*h - 192 + 192 = 0, 6 = -3*h for j. -1 Solve 2*m - 20 = 2*z, -5*z - 84 = 4*m - 70 for m. 4 Solve 2*x = -2*b + 12 - 10, 41 = 5*b - 4*x for b. 5 Solve 3*z - 1471*u + 1470*u = 1, 4*z = -5*u - 5 for z. 0 Solve -451*f + 13 = -450*f + 5*j, 5 = j for f. -12 Solve 3 = -4*t - 3*z, -5*z = 3*t - 278033 + 278038 for t. 0 Solve -70*h - 2*i = -73*h + 16, -5*h - 14*i - 55 = -i for h. 2 Solve 6*o - 2*g - 64 = 0, -20*o - 21 = -24*o - 3*g for o. 9 Solve -5*v = -20, 5*y + 2*v = -15 + 13 for y. -2 Solve 4*q - 8*u = -12*u + 32, 3*q = -14*u + 46 for q. 6 Solve -4*b = -2*k - 1633 + 1591, -24 = -b + 5*k for b. 9 Solve -2*b - 5*m = 5, -2*b - 5698 + 5653 = -3*m for b. -15 Solve 352*m = 349*m + 3*b + 3, 20 = -4*m - 4*b for m. -2 Solve 37 = -3*d + 5*x, -4*x = -34*d + 30*d - 36 for d. -4 Solve -14 = r, -77*r + 8 = 4*u - 79*r for u. -5 Solve -9*u + d - 33 = 0, 3*u + 13792*d + 24 = 13788*d for u. -4 Solve 2*m = -5*v + 13, -16753 = -5*v + m - 16752 for v. 1 Solve 3*l + 3*c - 27 = 0, 316*l = 313*l + 7*c - 23 for l. 4 Solve 0 = 27*j - 26*j + 5*l - 99, 5*l = 5*j + 75 for j. 4 Solve -25 = -2*r - 6*t - 1, 10 + 5 = 3*t for r. -3 Solve 2*y = -y + 48, 4*q = -3*y + 23 + 5 for q. -5 Solve -116*r - 4 = -2*k - 118*r, -4*r - 37 = -5*k for k. 5 Solve 0 = p + 3*o - 7, -5*p - 39*o = -12 - 47 for p. 4 Solve -5*d - 2*x - 12 = 0, 0 = -188*d + 184*d + 5*x - 3 for d. -2 Solve -2*m = -1130*o + 1126*o + 26, -o + m = -8 for o. 5 Solve 52 = 12*d + 10847*r - 10851*r, 2*r + 1 = d for d. 5 Solve 2*l + 5*x - 10 = 0, 0 = 463*l - 464*l - 4*x + 8 for l. 0 Solve 1614*h = 1615*h + 3*n - 3, 0 = 3*h - 3*n + 3 for h. 0 Solve 32 = -5*d + 3*h, -4*h + 183 = -4*d + 151 for d. -4 Solve -k + 29 = -2*m, 0 = -3*k + 4*m + 716 - 659 for k. -1 Solve -2*h - 2*n - 28 = 0, -2*h - n - 19 = -0*n for h. -5 Solve -4*t - 4*i = -48, 19 = 1519*t - 1518*t + 2*i for t. 5 Solve -4*c - 20 = 4*r, 33*c + 3 = 31*c - r for c. 2 Solve -v - 2*o + 499 - 497 = 0, 8*v - o = 50 for v. 6 Solve 0 = -y - h - 2, 188*y - 2*h + 11 = 193*y for y. 5 Solve -g - 2*f = -18, 8 = -g - 5*f + 50 for g. 2 Solve 3*u - 20 = -2*r, -5*u + 60 = 5*r + 20 for u. 4 Solve -4*g = -2*x + 18, g + 15 = -0*g - 4*g for x. 3 Solve 290*j + 4*o + 20 = 286*j, 0 = -7*j - 5*o - 35 for j. -5 Solve 0 = -4*w - 5*r + 23 - 34, -2*w + 5*r = -17 for w. 1 Solve 568 - 505 = 11*a + 4*g, -24 = -4*a - 2*g for a. 5 Solve -4 = 2381*v - 2382*v - h, v = -3*h + 6 for v. 3 Solve 4*b - 6 = -5*a, -2138*b + 2129*b = 2*a + 5 for a. 2 Solve 5*d - 3*d + x + 11 = 0, -2*x = -31*d - 83 for d. -3 Solve 0 = -5*c, 8*q + 3*c + 483 - 363 = 6*c for q. -15 Solve -5*m + 51 = -5*z + 41, -10 = 5*z + 5*m for z. -2 Solve 2*k = c - 2, 22*k - 20*k - 2 = 3*c for c. -2 Solve -2*z = 307*h - 312*h, -3*z = -3*h for z. 0
What is (2780/(-20850))/(38/(-30))? 2/19 Calculate ((-10*14/(-224))/((-40)/96))/78. -1/52 Calculate 0/((-31)/(217/(-14)))*11/11. 0 What is (-4)/(-13)*7/6*46/(-1288)? -1/78 What is (5/5)/(18/27864*-18)*1? -86 (2/(-3))/(1000/(-13500)*9/24) 24 Evaluate (2/64)/((-1304)/(-125184)). 3 What is the value of (-1056)/80*(-2)/(246/(-205))? -22 Evaluate (-85)/170*1488/(-24). 31 What is the value of 100/(-40)*((-1056)/55)/4? 12 What is the value of ((-126464)/(-1612416))/(((-1)/(-1))/(-1))? -4/51 What is the value of (((-2652)/(-4420))/((-4)/((-560)/(-6))))/2? -7 (3/10)/((-492)/(-656))*4/168*-10 -2/21 What is the value of ((-5307)/1708)/((-6)/16)*364/(-52)? -58 What is the value of (-60)/((-18)/(-4)*(-116)/(-261)*(-15)/(-20))? -40 Calculate (52/(-988))/(9/252*7). -4/19 What is the value of ((-86020)/176)/85*(6/3)/(3/(-12))? 46 Evaluate (-106)/2*((360/30)/4)/3. -53 Evaluate (-187)/102*6*(-58)/2552. 1/4 What is the value of (444/(-30))/(6/21*63/(-45))? 37 What is the value of (320/(-128))/(220/(-16))? 2/11 Evaluate 11/((-52)/(936/11)). -18 What is the value of 6/(-325)*80/960*-60*20? 24/13 Evaluate (-3230)/(-114)*(-960)/(-800). 34 What is the value of -10*(-320)/(-3000)*2/(-2)*(-2)/(-4)? 8/15 Calculate (7641/(-1698))/(54/1104). -92 Evaluate ((-119700)/(-135))/95*32/(-14). -64/3 What is (-2472)/1545*69/46*(-190)/6? 76 Evaluate 3/(-5)*(239/18403)/(2/22). -3/35 ((-30)/(-720))/(18/648) 3/2 55/154*(-144)/30*84/30 -24/5 3720/31*4/((-48)/3) -30 Evaluate ((-133)/((-5719)/86))/74. 1/37 (37/((-1480)/60))/(((-1)/(-5))/((-688)/(-60))) -86 What is (17/(-136)*-6)/((-36)/(-576))? 12 Evaluate 14/35*(-595)/2142. -1/9 13/(-3)*(51832/8151)/(-31) 8/9 What is the value of (10/(-160))/(45/(-120))? 1/6 4326/(-3605)*(-30)/(-8) -9/2 ((8/((-96)/78))/2)/((-13)/(-208)) -52 What is the value of ((369/(-82))/9)/((-1)/46)? 23 117/(-39)*33/9 -11 What is (1040/(-3900))/((-28)/147)? 7/5 Evaluate 120/(-1120)*404*287/(-123). 101 What is (35/16)/(5894/(-3368))? -5/4 (-65994)/23292*27/51 -3/2 Evaluate (-12)/(-110)*(-6490)/4425. -4/25 Calculate 69/6*-52*(-42)/1092. 23 Calculate (-14)/(-252)*-6*(-75)/2650*2. 1/53 What is the value of (-42)/8*(8832/(-46))/(-48)? -21 Calculate ((89/178)/(((-88)/60)/11))/(6/(-120)). 75 What is the value of (1*-12)/((272/32)/(-17))? 24 15*(-4)/(240/(-75))*(80/15)/(-2) -50 Calculate 366/610*(-4920)/72. -41 Calculate (-25347)/(-14484)*40/(-63). -10/9 What is the value of (-2)/38*3*(1/(-4))/(2568/(-10272))? -3/19 What is 20/(-20)*4/(-1)*(-36)/9? -16 What is 40/90*5*(414/(-90))/(-23)? 4/9 Evaluate (26/6)/(((120/27)/(-20))/(6/(-45))). 13/5 What is ((-354)/4720*10)/(2/16*-23)? 6/23 What is the value of (((504/90)/(-14))/(44/(-2805)))/((-3)/(-2))? 17 Evaluate ((-318)/583)/(5/2*48/60). -3/11 What is the value of (24/(-18)*296/16)/(22/(4092/31))? -148 Calculate (16/6)/((2/(-18))/((-892)/(-1338))). -16 What is the value of (-43904)/(-2352)*(-6)/(-2)? 56 (62/(-70432)*-142)/(2/(-4)) -1/4 (((-6)/28)/((-45)/945))/(18/264) 66 (56710/(-11342))/(((-1)/(-78))/((-2)/10)) 78 Evaluate (38796/210145)/(1*(-2)/10). -12/13 What is ((-240)/7280)/(16/1144*-11)? 3/14 Calculate (15/460)/((-729)/567*(-7)/(-8)). -2/69 56*(-57)/(-7980)*-3*((-4)/3)/4 2/5 What is ((-2578)/439549)/(3/31)? -2/33 (18/44*((-1110)/45)/(-37))/((-6)/8) -4/11 (((-300)/(-250))/(((-24)/(-170))/(-3)))/(2/4) -51 65*966/(-420)*12/78 -23 Calculate ((-8526)/(-13807857))/(2/82). 2/79 Calculate ((-2952)/(-41820))/((-24)/80). -4/17 (-2370)/711*(-9)/(-28)*(-14)/(-36) -5/12 Calculate (195/(-5)*256/(-384))/(3*-5). -26/15 Evaluate (213/2840)/(1/10*-2)*(-736)/36. 23/3 Calculate ((-4)/6)/((-14)/18)*-25*3024/48600. -4/3 -2*(-5)/(-6)*205/((-36900)/(-216)) -2 (-1460)/16*4560/5700 -73 1*(-5)/(-20)*(-12)/(-15)*-1 -1/5 What is the value of (5891/274)/(((-12)/16)/(9*5/30))? -43 Calculate 7*1*62*102/82212. 7/13 Evaluate (588/(-24))/((-6)/(-12)*((-36)/(-9))/4). -49 What is the value of 3/5*(-345)/138*264/36? -11 Evaluate ((-2)/2*-1)/(((-3339)/(-2583))/53). 41 What is the value of (-5)/(75/(-20))*63*(-77)/84? -77 Evaluate (-146)/146*2/(-3)*30/20. 1 (-12)/158*13*(-99)/(-3861) -2/79 2332/176*24/8*(-20)/15 -53 (-9)/((-72)/(-28))*1800/225 -28 Evaluate 7*-57*120/(-13300). 18/5 What is the value of (58/(-9))/((-2906)/(-26154))? -58 What is 11345/(-149754)*108/10? -9/11 Evaluate (-18)/(-150)*(-6550)/(-8122). 3/31 Evaluate (256/(-9408))/(4/(-336)). 16/7 What is 2*-42*(345/60)/23? -21 Evaluate (7/119)/((-92)/(-391))*352/4. 22 51/34*(-4)/(-375)*5 2/25 (24/26)/(691/(-8983)) -12 (7112/560)/(-127)*5900/10 -59 Evaluate (4/(-6))/(((-1098)/540)/61). 20 What is -6*63/(-288)*(-22)/77? -3/8 What is the value of 112/240*(-40)/14*(-8)/(144/(-21))? -14/9 What is the value of (-45)/(-12)*-4*76/4332? -5/19 (6/4)/((-53)/1272) -36 ((1382/(-34550))/(1/30))/(3*(-2)/(-320)) -64 (1/((-198)/(-4)))/((-15327)/56199) -2/27 Evaluate (1*-1)/(((-1)/1)/(3245/(715/(-13)))). -59 Evaluate ((-6)/(-4))/(63/(-7))*-3*(-1804)/(-656). 11/8 (696/580)/(31/(155/12)) 1/2 What is (-20)/(-315)*90/(-60)*3/36*99? -11/14 What is the value of ((2992/6)/68)/((-6)/(-3))*-9? -33 What is the value of (20/(-5))/(((6/4)/(21/7))/(-8))? 64 What is the value of ((-7)/(-4)*(-12)/14)/(3/16)? -8 What is (374/61523)/((-1)/7)? -2/47 Calculate ((-3195)/(-1420))/((10/8)/(-5)). -9 What is the value of 112*(-88)/(-59136)*6/(-4)? -1/4 What is the value of (-7)/(-3)*-35*(-6768)/11515? 48 What is the value of 1664/2080*(-185)/8177*(-2)/4? 2/221 Calculate ((-7)/7)/((1*(-3)/(-10))/(297/(-495))). 2 What is (-75*(-70)/4375)/(708/4)*10? 4/59 Evaluate ((-10416)/13671)/(12/(-27)). 12/7 What is the value of ((-6244)/42370)/(49/(-35))? 2/19 Calculate (-1175)/20*(-2)/(-50)*(-920)/46. 47 What is the value of ((-170)/(-2465))/(198/638)? 2/9 Calculate ((-213)/284)/(2970/(-240)). 2/33 Calculate ((-1)/(10/(-48)))/((-1920)/6400). -16 What is the value of (-732)/(-1647)*(-54)/440? -3/55 What is the value of (-84)/42*((-102)/38)/(-17)? -6/19 What is (-142)/1065*-1110*(2*4/16)/2? 37 ((-62)/(-341))/(21/660*8) 5/7 What is -8*((-1241)/(-2380))/73? -2/35 Calculate 1*(-10)/8*5360/(-110550). 2/33 What is the value of 5*((-44)/(-11))/8*1408/80? 44 (20/(-18))/((-23825)/(-171540)) -8 Evaluate -392*(-32)/10752*8/(-1876). -1/201 What is ((-4)/28)/((-2775)/(-55500))? -20/7 What is the value of (17/(-85))/((-5)/2700*4)? 27 Calculate 570/(-4180)*(-902)/1. 123 Evaluate -3*1/(-42)*2954/8440. 1/40 What is 1/372*(-353)/((-15532)/264)? 1/62 Calculate (2385/318*(-2)/(-6))/(165/5874). 89 Calculate (198/(-21))/((3/10)/(2240/1600)). -44 2*(-3)/(-114*2)*924/(-1155) -2/95 Evaluate (14*(-102)/4760)/((-6)/(-300)). -15 Calculate (-130)/1300*1610/92. -7/4 Evaluate ((140/(-4900))/((-2)/(-14))*172)/((-4)/(-10)). -86 Evaluate -86*(-14)/(-16)*3368/5894. -43 Calculate 696/203*(10/(-20))/(3/(-28)). 16 ((-2006)/59)/(-238)*(-14)/(-6) 1/3 Calculate 5/56*9520/(-41650). -1/49 What is (192500/(-8250))/((-14)/27)? 45 Evaluate ((-1)/(2/(-6)))/(11706/218512). 56 (-49)/98*-5*66/(-1595) -3/29 What is 3625/(-870)*(-10)/(-8)*41/((-5740)/(-84))? -25/8 (2/5)/(-37*50/(-92500)) 20 Evaluate ((-21)/((-7938)/(-72)))/(350/(-49)). 2/75 10/(-80)*(-33)/((-858)/16) -1/13 2*(-6)/(-72)*-39*(-1624)/(-728) -29/2 Evaluate (-10)/(-4)*(-127336)/(-2894)*(-1)/(10/2). -22 What is the value of ((-784)/(-28))/(-308)*22/(-2)*-43? -43 What is the value of (4/(16/(-6)))/(10128/(-30384))? 9/2 What is the value of ((-38)/(12768/72))/((-1)/8*6)? 2/7 Calculate (80/12)/5*342/(-399)*273/(-12). 26 37/(-6216)*12*-1*9/(-6)*-36 27/7 Calculate (-12)/(-1952)*(-47704)/(-5963). 3/61 18/(-3)*(-2975)/(-150)*4/7 -68 Calculate (13/(-780)*-90)/((-371)/(-14)). 3/53 Calculate (14/1078)/(6/4)*(-1)/((-9)/(-21)). -2/99 What is 7/(((-2310)/11)/(-15))? 1/2 (((2010/(-360))/67)/(15/520))/(16/(-12)) 13/6 Evaluate (-1)/(9/2556*120/30). -71 What is (9/180*8*-105)/((-78)/(-117))? -63 Calculate (((-44)/(-616))/((-7)/196))/8. -1/4 ((-4)/15)/((-16275)/11160*8/(-5)) -4/35 What is the value of (-1*72/78)/((-342)/1482)? 4 Evaluate (1/1)/((-385)/55). -1/7 Evaluate (-4)/(-5)*1*(-9)/12*1305/27. -29 Calculate (-27)/(-20)*39910/(-47892). -9/8 Calculate -47*53/(358704/(-2448)). 17 What is the value of (670/1876)/((-50)/60)? -3/7 What is 440/2244*(-54)/(-60)? 3/17 Calculate ((-390)/(-16))/(987/2632). 65 Calculate 10/(-5)*9*6/(-60)*20/(-40). -9/10 Evaluate (-288)/(-390)*1025/(-410). -24/13 135/(-900)*200/(-160) 3/16 Evaluate (-25530)/61272*((-32)/25)/2. 4/15 What is the value of (((-986)/145)/(-34))/((-7)/49)? -7/5 Calculate ((-18)/(-726))/(1443/52910). 10/11 Evaluate (-6)/210*-10*(-55)/20*306/(-187). 9/7 What is the value of ((-91850)/(-50100))/((-22)/(-24))? 2 What is the value of -1*2*(5964/(-224))/(-213)? -1/4 (-3)/(-60)*-28*23/161*12/1 -12/5
Let f(c) = c**2 - 2. Let d(l) = -l**2 + 10*l + 13. Let u be d(11). Let a be f(u). Let r be 2/6 - 2/(-3). Which is bigger: r or a? a Let r = 6 - 10. Let w = 4 + r. Which is bigger: -0.1 or w? w Suppose -5 = 2*i + 1. Let q = 12 + -11. Let o(n) = n**2 - n. Let y be o(q). Is y less than i? False Let q be (-368)/(-18)*57/(-6). Let v be 8/(-28) - (-1360)/7. Let m = q + v. Which is smaller: m or 0? m Suppose v + 3*x - 12 = 0, -5*v + 4 = 4*x - 12. Let o(p) = p**2 - 5*p + 3. Let w be o(4). Is w greater than v? False Let l be (7/(-1))/((-3)/3). Suppose 3 = -4*v + l. Let i = 0.024 + 0.176. Which is smaller: i or v? i Let w = 19.3 + -23.3. Let m = -0.1 - -0.1. Is w at least m? False Let w be 970/(-4)*48/45. Let t = w + 13174/51. Is 0 less than t? False Let z = 154847/93 + -1665. Is z greater than or equal to 0? True Let w be 0/(3/6*-2). Suppose 0 = -w*t + 4*t - 8. Let y be -3*(-2)/3 - -1. Does y = t? False Let i = -236/9 + 3994/153. Which is smaller: 1 or i? i Let l = 6 - 2. Let h be (-1)/l*16/(-12). Are -1 and h nonequal? True Let j(l) be the third derivative of -l**6/120 + l**5/60 - 2*l**2. Let o be j(-2). Suppose 0*d = -4*d + 2*a - o, 0 = 5*d + a + 8. Which is smaller: d or 0? d Let o be 58/(-40) + (-3)/(-12). Let h = 6 + -8. Do h and o have the same value? False Let r = -1.39 + -1.61. Let x(i) = i**3 + 3*i**2 + i - 1. Let z be x(-2). Suppose z + 1 = 3*p - 5*n, -3*p + 4*n = -1. Is r greater than p? False Suppose 2*w - 4*j - 380 = -3*w, 2*w + 2*j = 134. Let t be (-16)/w + (-8)/126. Let a = -3 + 4. Is t at least as big as a? False Let j(w) = w**2 + 6*w + 2. Let a be j(-5). Suppose 1 = -2*q - 1. Let f be (a/(-6) + q)*-2. Is f != -1/3? True Suppose 2*d - 4*d + 3*q = 0, 5*d = -4*q - 23. Let k be 2/d*1/2. Suppose w = -3*u - 2*w + 9, 0 = -2*w + 6. Which is bigger: u or k? u Let q = -22 - -27. Which is smaller: 4 or q? 4 Suppose -5*j + 2*j = -6. Which is greater: -0.1 or j? j Suppose 6 = 13*p - 7. Which is smaller: 19 or p? p Suppose 0 = -4*k + 33 + 43. Let n = k + -19. Is n not equal to -0.1? True Let g(r) = -7*r + 6. Let z(q) = -6*q + 5. Let y(l) = 5*g(l) - 6*z(l). Let j be y(4). Suppose 0*w + 18 = 2*d - j*w, 5*d - 20 = 5*w. Is d at least as big as -1? True Suppose 3*p - 1 + 7 = 4*g, 0 = -2*g. Is 0 at least p? True Let s(w) = w**2 + 3*w. Let k be s(-4). Suppose -b = -2*b - 5*x, k*b + x = -19. Which is greater: b or -4? -4 Suppose 3*r + 8 = 5*z - 19, z + 13 = -4*r. Is r at most -5? False Suppose 0 = -13*q + 7*q - 12. Which is bigger: q or -14/5? q Let f be ((-12)/(-5))/((-8)/(-172)). Let z = f - 52. Which is smaller: 0 or z? z Suppose 0 = 2*c - c. Suppose c = 4*r - 8*r + 4. Is r less than or equal to -1? False Suppose -j + 6*j = -10. Is j greater than or equal to -24/11? True Suppose 3*g + 3*g = -78. Which is smaller: g or 5? g Let d = -8 - -7.9. Let b = 4.9 - d. Which is bigger: -0.1 or b? b Let k = -4 - -7. Suppose 4 = k*t + t. Which is smaller: t or -1/4? -1/4 Let z be (-2 - 95/(-50))/(4/10). Which is bigger: -3.4 or z? z Suppose y = 4*m + 6, -3*y + 2*y - 5*m + 33 = 0. Suppose 2*p - 3*o + y = 0, -o + 17 = -3*p + o. Let g be (-2)/8 - (3 + p). Which is greater: -2 or g? g Suppose 0 = -4*l + 4*b - 8, 3*b + 0*b - 18 = -3*l. Suppose 5*z - 9 = m, 0 = z + l*z + 3*m - 9. Which is bigger: z or -0.1? z Let m be (3/(-15))/(6/(-285)). Which is smaller: m or 9? 9 Let s = -19 - -30. Suppose 19 = m + 3*m - a, 0 = 5*m + 3*a - s. Suppose -w + m*w = 0. Which is smaller: w or -2? -2 Let r(d) = 2*d + 3. Let i be r(-1). Are i and -1/58 unequal? True Let a = -21 + 18. Is -10 >= a? False Suppose -3*n - 21 = 3*o, 2*o + 6*n - n + 29 = 0. Let j be (-2)/(-4) - 1/o. Let f = -3 + 4. Is j at most f? True Let h be (16/(-20))/((-4)/(-10)). Let p be -1 + h/(-4)*1. Are 0 and p non-equal? True Suppose 2*w = -0*w - 28. Let l be 0 - (w - -2) - -2. Is l less than or equal to 15? True Let u(t) = 3*t - 2. Let q be u(2). Suppose 0 = 2*i - 6*i + q. Which is bigger: 2 or i? 2 Suppose 5*x + 8 = w + 10*x, -3*w - x + 24 = 0. Which is bigger: w or 9? 9 Let k = 17 - 12. Let t(l) = l**2 - 4*l - 6. Let n be t(k). Let m be 2/(-4)*-2 - n. Is m >= 1? True Let g be (-1)/((-13)/(-7) + -2). Suppose 4*c - 3*q - g = 0, -2*q - 6 = -4*c + c. Let x(o) = o**3 + 4*o**2 + 2*o - 1. Let p be x(-2). Is c >= p? True Let s = 0.075 - -0.025. Which is bigger: s or 5/7? 5/7 Let g be (16/32)/(1/(-10)). Let k = 3 + g. Is k at least -2? True Suppose 0*b + 20 = 4*b. Let h be (-2)/b - 72/(-80). Which is bigger: h or 1? 1 Let t be (-3)/((-3)/(-1)) + 1. Are t and -1/2 non-equal? True Let a = 0.5 + -0.55. Let n = -0.05 + a. Let u = 0.3 + n. Which is bigger: 3/4 or u? 3/4 Let r(y) = y**3 + 2*y**2. Suppose -8 = t + 3*t. Let j be r(t). Let o be (-7 - -8) + 2/(-6). Which is smaller: o or j? j Let p = -0.3 - -0.5. Let d = -0.05 - -0.04. Let i = d - 0.99. Which is bigger: i or p? p Let y = -3.7 - -3.66. Is y at least as big as -4/7? True Let r be (-217)/81 - -2 - -2. Let u = r + 1/81. Which is greater: u or 2? 2 Let h be 70/224*(-2)/(-5). Which is smaller: 2 or h? h Let t(v) = -2*v + 6. Let d be t(-4). Let h = d + -152/11. Which is smaller: -1 or h? -1 Let j be ((-15)/(-48))/(7/(-28)). Which is smaller: -3 or j? -3 Let r be 10/(-15) + 71/102. Let q(g) = g**3 + g**2. Let f be q(0). Which is smaller: r or f? f Let l = 1 - 2. Let z = -20 - -18.82. Let n = 0.18 + z. Is l > n? False Let w be -18 - (3/(-18) - (-3)/18). Which is smaller: w or -15? w Let p = 70 + -71. Let m = 4/5 + -1. Which is greater: m or p? m Suppose 0*r + 2*r + 26 = 0. Are r and -12 unequal? True Suppose 2*a - 1 = -3*x + 1, 3*a + 6 = 0. Is 0.2 <= x? True Let d be (-1)/2*(-3 - 3). Suppose -3*w - d - 3 = 0. Suppose 0 = -3*s - 2 - 10. Is w at most s? False Let s = -19 - -5. Which is smaller: -15 or s? -15 Let m = 1.1 - 1. Do 1/11 and m have the same value? False Let j be 996/546 + -4 - (-2)/(-7). Which is smaller: j or -0.1? j Let m be -2 - 6 - (-1 - 2). Which is bigger: -6 or m? m Let r = 127/330 - -1/66. Let s = -1/181 - 1986/905. Let o = s + 72/35. Which is smaller: o or r? o Suppose p - 5*p = -16. Suppose 2*t + 2*k + 1 = 3, 2*t + 5*k = 5. Suppose -b + 4*x - 10 = b, t = 4*b + 2*x - 20. Which is greater: p or b? p Let w = -281 + 274. Let q = 3 + -2. Is q smaller than w? False Let s = -43 + 42. Let h = -12 - -8. Is s less than or equal to h? False Let k = 3 + 1. Suppose -3*f = -5*f. Suppose f = -k*y - 4. Which is smaller: -2 or y? -2 Suppose 0 = 4*u - 6*u - 8. Suppose -2*m - 11 - 1 = 0. Let t(s) = -s**2 - 4*s + 7. Let j be t(m). Which is smaller: j or u? j Let u be 18/12 - 452/(-8). Is u less than 59? True Suppose 3*d - 2*d - 3 = 0. Suppose -4*a = -d*a + 1. Are a and 3/16 nonequal? True Let f be (-1*(-1 - 2))/1. Let o be (-72)/(-21) + 0 - f. Which is greater: -1 or o? o Let m = -5368/13 - -412. Let y = 27 + -27. Is m < y? True Suppose -4*b = -5*b - 1. Suppose 3*y - 4*y = -1. Let m = b - y. Is m less than or equal to 1? True Suppose 7*n - 4 = 5*n. Suppose 3*a = 3*x + 12, -5*a + 30 = -n*x + 10. Suppose f + 9 = a*f. Is 3 smaller than f? False Let m = -2 - -2. Suppose -4*b + 13 + m = 3*g, -g - 5*b = -19. Are -1 and g unequal? False Let p = 311326829/28 + -44849435/4. Let c = -222630497/2380 - p. Let d = c - -4/85. Is d smaller than 1? False Suppose -3*b + 0*b - 1278 = 3*r, 4*r - 3*b = -1669. Let p be r/(-3) - -1*1. Let f = 140 - p. Is -2 less than f? True Suppose -2*l + 5 = -7*l, -2*y = -l - 7. Let x(s) = s**2 - s + 5. Let t be x(0). Is t at least y? True Let g = -20 + 20. Is g <= 0? True Let y(f) = f**3 + 4*f**2 + 5*f + 2. Let u be y(-3). Suppose 5*g = -r + 1, -2 = 4*r - 3*r + 2*g. Are r and u equal? True Suppose -27 = -3*i - 0. Let p be 3 + (-21)/(2 + -5). Which is greater: p or i? p Let z = -22466/9 + 2500. Are z and 5 non-equal? True Let y be 8/5 + 10/25. Suppose 2 = -4*b - y*h, -3*b + 2*h = -1 - 1. Which is bigger: b or 1/5? 1/5 Let g = -274 - -248.9. Let s = g - -25. Is 2.6 at least s? True Let u = 86/165 + -4/33. Let x = -1 + 0.3. Is x less than u? True Suppose 9 = 2*h + 2*h - 5*r, 3*r + 3 = 0. Let q = -4 + 3. Which is greater: q or h? h Let j be 2*-5 + 0 - -3. Let l = -10 - j. Let i be (-12)/(-3)*2/(-4). Which is bigger: l or i? i Let o = 35 - 40. Let m = -4.8 + -1.2. Let h = m - o. Is h at least as big as 2/5? False Let g = -0.53 - -0.36. Let i = g + 0.07. Let m = -1.9 + 2. Is m less than or equal to i? False Let h(r) = 3*r + 5. Let j be h(-4). Let s be 2/(7/((-49)/2)). Is j equal to s? True Let f = 29 + -55. Which is smaller: f or -29? -29 Let j = 1.7 + 0.3. Let a(k) = -14*k**2 - k + 1. Let d be a(1). Let r be 7/d + (-10)/4. Which is smaller: j or r? r
Simplify (sqrt(49)/sqrt(7))**2 + -2 + sqrt(42)/(sqrt(36)/sqrt(6)). sqrt(7) + 5 Simplify 0 + ((sqrt(16)/(sqrt(72) + sqrt(8) + sqrt(8)))**2 - (sqrt(2) + 3)*-2). 2*sqrt(2) + 152/25 Simplify -6*5*(sqrt(17) + 0 - sqrt(17))**2*6. 0 Simplify -1*((sqrt(36)*-2)/sqrt(12))**2. -12 Simplify -4*(sqrt(2268) + 1 + sqrt(2268))**2. -36292 - 288*sqrt(7) Simplify (6*((sqrt(5) - sqrt(30)/(sqrt(6)*1 + sqrt(6))) + 3))**2*-1. -369 - 108*sqrt(5) Simplify ((sqrt(66) - (sqrt(66)*-2 - sqrt(66))*-1)/(-1*sqrt(96)))**2. 11/4 Simplify -2*sqrt(28) + -5. -4*sqrt(7) - 5 Simplify (sqrt(448) + sqrt(448)*-2)*-2. 16*sqrt(7) Simplify -1 + (-2*(sqrt(5) + 1)**2 - 4*sqrt(30)/sqrt(6)). -8*sqrt(5) - 13 Simplify -5*(sqrt(300) + 2 - sqrt(300)). -10 Simplify -2*((sqrt(2057) - (sqrt(2057) + 0) - sqrt(2057))**2 + 5). -4124 Simplify (sqrt(56)/sqrt(4)*-1)/(sqrt(77)/(sqrt(11) + sqrt(44)/sqrt(4))). -2*sqrt(2) Simplify (sqrt(2200)*-1 + sqrt(2200))/sqrt(11). 0 Simplify -2*((sqrt(13) + (sqrt(13) - (sqrt(13) + 0)))*2)**2. -104 Simplify -3*((-5 + (sqrt(300) - (sqrt(300) + sqrt(300) + -4*sqrt(300))))**2 + sqrt(300)). -8175 + 870*sqrt(3) Simplify (sqrt(2) - sqrt(20)/(sqrt(60)/sqrt(6))) + sqrt(2) + sqrt(16)/sqrt(128) + sqrt(2). 9*sqrt(2)/4 Simplify (sqrt(52) + 1 + 5 + -3)*-4. -8*sqrt(13) - 12 Simplify (sqrt(11) + -1)*4 + -2*sqrt(11)*-3. -4 + 10*sqrt(11) Simplify (-3 + sqrt(45) - (sqrt(200)/sqrt(4))/sqrt(10)) + 5. 2 + 2*sqrt(5) Simplify (4*sqrt(30)/sqrt(3))/(sqrt(2) - sqrt(18)*-1). sqrt(5) Simplify 3 + sqrt(180) + 5 + 3. 11 + 6*sqrt(5) Simplify ((sqrt(720) - ((1*sqrt(720) + sqrt(720) + sqrt(720) - sqrt(720)) + sqrt(720))) + sqrt(720))**2 + (sqrt(5) + sqrt(20)/sqrt(4))**2 + 0. 740 Simplify (-5*sqrt(832))**2 - (sqrt(13) - ((sqrt(1872) + sqrt(1872)*-4)**2 - sqrt(1872))). -13*sqrt(13) + 37648 Simplify (-4*sqrt(209))/sqrt(11) - sqrt(114)/sqrt(6)*2. -6*sqrt(19) Simplify (sqrt(2299) - (-1 + sqrt(2299)))**2*-5. -5 Simplify (sqrt(448) + 0 + 0 + sqrt(448) - 2*(sqrt(448) + 3))**2. 36 Simplify ((sqrt(2) - (sqrt(2) + 0)) + 1)*4. 4 Simplify (2 + (3*(sqrt(204) - (sqrt(204) - (sqrt(204) + -2*sqrt(204) + sqrt(204)))))/((sqrt(132)*-1)/sqrt(11)))**2. 4 Simplify (4*(sqrt(832) + 1))**2*-1. -13328 - 256*sqrt(13) Simplify (sqrt(40) - sqrt(160)*1 - sqrt(40))/sqrt(8). -2*sqrt(5) Simplify (sqrt(88)/sqrt(32))**2 + (sqrt(297) + sqrt(33))/sqrt(3). 11/4 + 4*sqrt(11) Simplify (sqrt(198)/sqrt(44))/sqrt(9). sqrt(2)/2 Simplify sqrt(2) + (sqrt(2) - (sqrt(2) - sqrt(90)/sqrt(5))) - (-1 + sqrt(242)). -7*sqrt(2) + 1 Simplify 2 + (sqrt(1584) - 3*sqrt(1584)). -24*sqrt(11) + 2 Simplify (-3 + sqrt(175)*-2 - ((1*sqrt(420))/sqrt(10) - sqrt(42))/sqrt(6))**2. 60*sqrt(7) + 709 Simplify 1*sqrt(49)/(sqrt(77)/sqrt(11)). sqrt(7) Simplify (sqrt(19) - sqrt(171)) + 1 - (sqrt(304) + 1)**2. -304 - 10*sqrt(19) Simplify sqrt(425) + sqrt(425)*3 + 1 + -2. -1 + 20*sqrt(17) Simplify (((sqrt(8) - sqrt(8)*3)*-1)/(sqrt(576)*3 + sqrt(576) + sqrt(4)))**2. 8/2401 Simplify 1*(sqrt(3)*1 + -2). -2 + sqrt(3) Simplify 6*sqrt(63) + -5. -5 + 18*sqrt(7) Simplify -2*sqrt(612)*-2. 24*sqrt(17) Simplify -1*sqrt(209)/(sqrt(11) - 6*-2*sqrt(11)). -sqrt(19)/13 Simplify (sqrt(40) + sqrt(640)*1)/sqrt(8). 5*sqrt(5) Simplify 1*sqrt(1539) + 3. 3 + 9*sqrt(19) Simplify -1*-1*(-1 + sqrt(13) - sqrt(13))*-1. 1 Simplify (sqrt(315)/(sqrt(36)/sqrt(4)))/(-1*sqrt(720)). -sqrt(7)/12 Simplify (-1 + sqrt(10)/sqrt(5) + (sqrt(20) + sqrt(60)/sqrt(3))/sqrt(10))**2. -6*sqrt(2) + 19 Simplify (5 + sqrt(14)/sqrt(2) + -4)**2. 2*sqrt(7) + 8 Simplify (sqrt(152)*2*6)/((sqrt(8) - (sqrt(128) + sqrt(8)))*-4). 3*sqrt(19)/4 Simplify (sqrt(637) - ((sqrt(637) + -1*sqrt(637))**2 + sqrt(637) - sqrt(637))) + -5. -5 + 7*sqrt(13) Simplify 5*(sqrt(70)*-1*2)/sqrt(10). -10*sqrt(7) Simplify ((sqrt(2) - (sqrt(2) + -2))*-4)**2 + -5 + sqrt(4)/sqrt(2). sqrt(2) + 59 Simplify ((-5*sqrt(242))**2 - sqrt(2) - sqrt(2)) + sqrt(16)/(sqrt(200) + sqrt(8)). -11*sqrt(2)/6 + 6050 Simplify 3 + (sqrt(5) - (sqrt(5) - (sqrt(5) - (sqrt(125) - (sqrt(125)*-2 + sqrt(125))))))**2. 408 Simplify ((3*sqrt(242)*2)**2 + sqrt(242))*4. 44*sqrt(2) + 34848 Simplify ((sqrt(7) - -3*sqrt(1008)) + sqrt(343) + (3 + sqrt(343) - sqrt(343)) + 1)**2. 352*sqrt(7) + 13568 Simplify sqrt(117)*5 + sqrt(13) - (sqrt(832) + -1)**2. -833 + 32*sqrt(13) Simplify (0 + 1*sqrt(245) + sqrt(245) + (sqrt(180) + 0)*5)**2. 9680 Simplify (sqrt(128) - 3*2*sqrt(128))**2 - sqrt(128) - (sqrt(128) - (sqrt(128)*1*5 + sqrt(128))). 32*sqrt(2) + 3200 Simplify (1 + 1 + sqrt(2) + ((sqrt(2) - (sqrt(2) + 0)) + -3 - sqrt(2)) - 6*(sqrt(98) + 0 + sqrt(98)))**2. 168*sqrt(2) + 14113 Simplify (4*1*sqrt(76))**2*-4. -4864 Simplify ((sqrt(119) + sqrt(119) + (-2*sqrt(119)*4 - sqrt(119)))/((sqrt(448) - sqrt(28)) + sqrt(28) + sqrt(7) - sqrt(7)))**2. 833/64 Simplify sqrt(153)*-1*-1. 3*sqrt(17) Simplify 1 + 4 + sqrt(70)/(sqrt(30)/sqrt(3)). sqrt(7) + 5 Simplify 1 + -1*sqrt(1539) + (-2*(sqrt(1539) + 0))**2. -9*sqrt(19) + 6157 Simplify -5 + sqrt(19)*-2 + sqrt(19) + 5. -sqrt(19) Simplify 1*(sqrt(52)/sqrt(64))**2. 13/16 Simplify (sqrt(117) - (sqrt(117)*-1 + sqrt(117) + sqrt(117))*4)/(sqrt(9) - -5*sqrt(144)). -sqrt(13)/7 Simplify (-5*(sqrt(63) + sqrt(252)))/sqrt(9). -15*sqrt(7) Simplify (sqrt(7) - sqrt(28))**2*-3*6. -126 Simplify (sqrt(21) - -1*-1*sqrt(21))/((sqrt(63)/sqrt(3))/sqrt(3)). 0 Simplify 3*(-1 + -5*sqrt(42)/sqrt(6)). -15*sqrt(7) - 3 Simplify ((1*sqrt(192))/sqrt(8))/(sqrt(56)/(sqrt(112) - sqrt(7))). 3*sqrt(3) Simplify -2*-4*((sqrt(112))**2 + 0). 896 Simplify (sqrt(44)/sqrt(144))**2 + 0. 11/36 Simplify 2*(-1*sqrt(432) + (sqrt(33)*-1)/sqrt(11)). -26*sqrt(3) Simplify -3*(0 + (2 + sqrt(2))**2). -18 - 12*sqrt(2) Simplify (4*sqrt(108)*2)**2. 6912 Simplify sqrt(45)*-3 + 4. -9*sqrt(5) + 4 Simplify -1 + ((sqrt(294)*2)/sqrt(7) - sqrt(42))/((sqrt(48) + sqrt(768) - sqrt(48))/sqrt(8)). -1 + sqrt(7)/4 Simplify -1*sqrt(50) + 0. -5*sqrt(2) Simplify (sqrt(26) + (sqrt(936) - (sqrt(936) - sqrt(936)*1)))/((-2*sqrt(18))/sqrt(9)). -7*sqrt(13)/2 Simplify (-3*((-1 + sqrt(99) - sqrt(99)) + sqrt(99)) - sqrt(99))**2 + sqrt(99). -69*sqrt(11) + 1593 Simplify sqrt(5) + sqrt(720)*1 + -1. -1 + 13*sqrt(5) Simplify ((sqrt(70)/sqrt(5))/sqrt(7) - (5 + sqrt(2) + 2))**2. 49 Simplify (-1*sqrt(125) + -3)**2. 30*sqrt(5) + 134 Simplify -3*(6*sqrt(80)*-5)**2. -216000 Simplify 1*sqrt(19) + -5 + -3. -8 + sqrt(19) Simplify (sqrt(1440)*2 + sqrt(1440) + sqrt(1440))/(3*sqrt(72) + sqrt(2)). 48*sqrt(5)/19 Simplify (sqrt(2448) + 0 + -4)**2*-1. -2464 + 96*sqrt(17) Simplify -2*(sqrt(539) + ((sqrt(539)*1)**2 - sqrt(539)) - sqrt(539)). -1078 + 14*sqrt(11) Simplify sqrt(168)/sqrt(6) + 2*sqrt(35)/sqrt(5). 4*sqrt(7) Simplify sqrt(1700) + sqrt(1700)*-2 + 2 + -1*sqrt(17). -11*sqrt(17) + 2 Simplify (sqrt(5)*-2*2 - ((sqrt(245) + 0)**2 + sqrt(5)))*6. -1470 - 30*sqrt(5) Simplify (3*sqrt(2000))/(sqrt(48)/(3*sqrt(12) - sqrt(12)) + sqrt(4)). 20*sqrt(5) Simplify (-2*(sqrt(242) + -2 + -5*sqrt(242)))**2. 704*sqrt(2) + 15504 Simplify (sqrt(84)*1)/sqrt(12) - (sqrt(847) + 1)**2. -848 - 21*sqrt(7) Simplify sqrt(304)*-5 + 5 + sqrt(38)/sqrt(2). -19*sqrt(19) + 5 Simplify sqrt(20) + sqrt(20) + -2 - (sqrt(5) + 2*sqrt(20)). -sqrt(5) - 2 Simplify (sqrt(18)/sqrt(6) + 1 + (1*sqrt(192) - sqrt(3) - sqrt(3)) + 0)**2. 14*sqrt(3) + 148 Simplify sqrt(192) + -1 + -1. -2 + 8*sqrt(3) Simplify (sqrt(468) - (-1 + sqrt(468) + -4) - sqrt(468) - 1*(sqrt(468) + -2))**2. -168*sqrt(13) + 1921 Simplify (sqrt(608) - sqrt(608)*-2)/(sqrt(2) + -6*sqrt(4)/sqrt(2)). -12*sqrt(19)/5 Simplify (-3 + sqrt(65)/sqrt(5))**2 + 3. -6*sqrt(13) + 25 Simplify sqrt(204)/(sqrt(108) - sqrt(12) - sqrt(12)) + (2*sqrt(153))/sqrt(9) + (sqrt(170) + (5*(sqrt(170)*-2 - sqrt(170) - sqrt(170)) - sqrt(170)))/sqrt(10). -17*sqrt(17) Simplify (6*-1*sqrt(2736))**2 - (-1 + sqrt(931) + 0). -7*sqrt(19) + 98497 Simplify -2 + -6*((sqrt(176) + sqrt(176) + 1)**2 + -2). -4220 - 96*sqrt(11) Simplify sqrt(63)/(2*sqrt(63)/sqrt(7)). sqrt(7)/2 Simplify 1*(-4*sqrt(1008))**2. 16128 Simplify (4 + sqrt(176)*-2*-5)*4. 16 + 160*sqrt(11) Simplify ((sqrt(630) - -6*(sqrt(630) + sqrt(630)*-1))/sqrt(10) + 3)**2. 18*sqrt(7) + 72 Simplify (-1 + sqrt(637)*2 + -5)**2. -168*sqrt(13) + 2584 Simplify -1 + (sqrt(5) - (sqrt(15) + sqrt(60) - sqrt(15))/sqrt(3)) + -2*sqrt(80). -9*sqrt(5) - 1 Simplify ((sqrt(275) - (sqrt(275) - 2*sqrt(275)))*-6 - sqrt(275))**2. 46475 Simplify (sqrt(95)/(sqrt(245)*-2))**2. 19/196 Simplify 1*sqrt(684)*6. 36*sqrt(19) Simplify 1 + -2*sqrt(19)*2. -4*sqrt(19) + 1 Simplify sqrt(27)*-1 + (1*(sqrt(3) - (-1 + sqrt(3) - sqrt(3))))**2. -sqrt(3) + 4 Simplify (-4*(sqrt(567) + -1) - (0 + sqrt(567))*1)**2. -360*sqrt(7) + 14191
Factor -4*l**5 + 3*l**4 - l**4 + 3*l**5 + l**3 + 2*l**5. l**3*(l + 1)**2 Let r(j) be the third derivative of 0*j**5 + 0*j + 0*j**3 + j**2 - 1/1020*j**6 + 0*j**4 + 0. Factor r(o). -2*o**3/17 Let n(p) be the second derivative of 3*p**5/100 + p**4/20 - 7*p. Factor n(d). 3*d**2*(d + 1)/5 Let m(j) = j**2 + 4*j + 4. Let t(q) be the third derivative of q**4/24 + q**3/6 + q**2. Let p(s) = -3*m(s) + 12*t(s). Factor p(n). -3*n**2 Let g(y) be the first derivative of y**4/16 - y**3/2 + 3*y**2/2 - 2*y + 25. Find i, given that g(i) = 0. 2 Let a = -15 + 20. Factor -6 + a*z - 12*z**2 - 16*z - 4*z - 3*z**3. -3*(z + 1)**2*(z + 2) Let a = -82 + 86. Let x(f) be the third derivative of 0*f - 2*f**2 - 1/210*f**5 + 0 + 0*f**3 + 1/84*f**a. Factor x(u). -2*u*(u - 1)/7 Let g(j) be the second derivative of j + 4/3*j**3 - 3/2*j**2 - 4/9*j**4 + 0. Factor g(n). -(4*n - 3)**2/3 Solve -139/6*i**3 - 62/3*i + 31/6*i**4 + 67/2*i**2 + 14/3 + 1/2*i**5 = 0 for i. -14, 2/3, 1 Let f(t) be the first derivative of -t**3/3 - 2*t**2 - 6*t + 5. Suppose d = 2*z + 7, 5*z + 34 = 14. Let o(l) = -1. Let u(r) = d*f(r) + 2*o(r). Factor u(a). (a + 2)**2 Let p = -241 + 491/2. Factor p*t**2 + t + 0. t*(9*t + 2)/2 Factor 2/9*u**2 + 4/9 + 2/3*u. 2*(u + 1)*(u + 2)/9 Solve -2/7 + 2/7*q**4 + 4/7*q - 4/7*q**3 + 0*q**2 = 0. -1, 1 Let s = -16/11 - -102/55. Let v(u) be the first derivative of 1/20*u**4 + 0*u + 4/15*u**3 + s*u**2 + 3. Suppose v(c) = 0. Calculate c. -2, 0 Let d be 0*(-4)/16*(-1)/2. Let p(m) be the second derivative of 0*m**2 + d + 0*m**4 + 1/3*m**3 - 1/10*m**5 + m. Let p(c) = 0. Calculate c. -1, 0, 1 Let c(o) be the third derivative of o**11/27720 - o**10/6300 + o**9/4032 - o**8/6720 - o**5/15 - 5*o**2. Let n(w) be the third derivative of c(w). Factor n(v). 3*v**2*(v - 1)*(2*v - 1)**2 Let w(k) be the third derivative of k**6/600 - k**5/150 - k**4/30 + 4*k**3/15 - 4*k**2. Find p such that w(p) = 0. -2, 2 Let k be (3 - (0 + (-6)/9)) + -2. Solve 4/3 + 4*g + k*g**2 = 0. -2, -2/5 Find t such that 39*t**2 - 10*t**2 - 9*t**2 - 16*t**2 = 0. 0 Suppose 0 = 4*d - 6*d - 2. Let q be (-28)/(-12) + d/3. Determine a, given that 2*a**4 + 2*a**3 - q*a**5 + 3*a**5 - a**3 = 0. -1, 0 Let k be (1 + -3)/(3/(-3)). Suppose 3*b = 3*v + 3, -4*v - k*b - 2*b + 12 = 0. Factor 12*c**3 - v + 5*c**2 - 3 - 10*c - 3*c**2. 2*(c - 1)*(2*c + 1)*(3*c + 2) Let k(m) be the first derivative of -m**6/360 + m**5/120 + m**4/12 - m**3 + 3. Let c(l) be the third derivative of k(l). Suppose c(r) = 0. Calculate r. -1, 2 Suppose -4*n + 17 + 3 = 0. Let m(j) be the first derivative of 1 - 3*j**3 - 2/5*j**n - 5/2*j**2 - 7/4*j**4 - j. Determine t, given that m(t) = 0. -1, -1/2 Let c(x) be the second derivative of -5/6*x**3 + 5/24*x**6 - 7/16*x**4 + 1/4*x**5 - 1/2*x**2 + 4*x + 0. Factor c(p). (p - 1)*(p + 1)*(5*p + 2)**2/4 Let l = -117 - -176. Let m = l - 411/7. Factor m*y**2 + 0 + 0*y. 2*y**2/7 Factor -6*a + 0*a + 6*a**2 - 2*a**4 + 2*a + 0*a**4. -2*a*(a - 1)**2*(a + 2) Suppose -4*u = -s, -u = -s + 2*s. Let -4 - 3*g**2 + g**3 - 13*g**2 + s*g**3 + 14*g + 5*g**3 = 0. Calculate g. 2/3, 1 Let v(u) be the second derivative of -7*u**6/180 - 19*u**5/120 - u**4/9 + u**3/9 - 8*u. Find y such that v(y) = 0. -2, -1, 0, 2/7 Let z be ((-4)/(-60))/((-1)/(-3)). Factor -z*x**2 - 1/5 - 2/5*x. -(x + 1)**2/5 Let j = -8/7 + 39/28. Factor -1/4*k**2 - 1/4*k + j + 1/4*k**3. (k - 1)**2*(k + 1)/4 Let o(w) = 5*w + 11. Let y be o(8). Let g be (-20)/15*y/(-8). What is x in 0 - g*x**4 - 5/2*x**5 - 11/2*x**2 - x - 21/2*x**3 = 0? -1, -2/5, 0 Suppose 6 = 5*g - 3*g. Suppose -3*z - g*k = 0, 0*k = z + 2*k + 2. Factor 0 - 2/3*b**z - 2/3*b + 2/3*b**3 + 2/3*b**4. 2*b*(b - 1)*(b + 1)**2/3 Suppose -4/9 + 2/9*s**3 - 2/9*s + 4/9*s**2 = 0. What is s? -2, -1, 1 Let p(b) = 9*b**4 + 3*b**3 - 6. Let o(i) = i**4 - i**3 - i**2 - 1. Let d(c) = -6*o(c) + p(c). Determine j, given that d(j) = 0. -2, -1, 0 Let c be 11/((-539)/(-14))*27. Let h be (-1 + 145)*1/14. Suppose c*d**2 + 2/7 + 18/7*d + 46/7*d**3 - h*d**5 - 48/7*d**4 = 0. Calculate d. -1/2, -1/3, 1 Let g = 65/4 + -691/44. Determine k, given that g*k**4 - 4/11*k**2 + 8/11*k**3 - 8/11*k - 2/11 = 0. -1, -1/3, 1 Let z = 57 + -54. Let k = 10 - 7. Factor 1 + f**z + 3*f + 9*f**2 + f + f**4 + 3*f**k - 3*f**2. (f + 1)**4 Let o(k) = 57*k**2 + 735*k + 6111. Let d(m) = -7*m**2 - 92*m - 764. Let f(t) = 33*d(t) + 4*o(t). Factor f(i). -3*(i + 16)**2 Let g = -11 - -13. Let a(o) be the second derivative of 0*o**2 + 1/12*o**4 + 0 - g*o - 1/20*o**5 + 0*o**3 - 1/30*o**6 + 1/42*o**7. What is r in a(r) = 0? -1, 0, 1 Let g(h) be the first derivative of 1/2*h - 6 - 3/8*h**2 + 3/16*h**4 - 1/20*h**5 - 1/12*h**3. Suppose g(b) = 0. Calculate b. -1, 1, 2 Factor 3*v**5 - 2*v - 4*v**3 + v**5 + 2*v. 4*v**3*(v - 1)*(v + 1) Find g, given that 2*g**2 - 6/5*g - 4/5 = 0. -2/5, 1 Let f(r) = 2*r. Let w be f(3). Let k(z) = z**2 - 6*z + 3. Let b be k(w). Determine t so that 9*t**2 - 2*t**3 + 7*t**b + 8*t - 2*t**3 - 2*t = 0. -2, -1, 0 Let f(s) be the first derivative of -s**5/2 + 5*s**4/8 + 5*s**3/3 - 21. Factor f(l). -5*l**2*(l - 2)*(l + 1)/2 Let g(w) be the third derivative of 7*w**6/80 - 3*w**5/10 + 3*w**4/16 + w**3/2 - 21*w**2. Suppose g(o) = 0. Calculate o. -2/7, 1 Let n = 79/3 + -26. Let a(v) be the first derivative of -n*v**3 - 3 - 2*v**2 - 4*v. Let a(i) = 0. What is i? -2 Let t(h) be the second derivative of h**7/1155 + h**6/330 + h**5/330 - 2*h**2 + 2*h. Let d(u) be the first derivative of t(u). Find g such that d(g) = 0. -1, 0 Let v(k) be the third derivative of -k**9/1008 + k**8/140 - k**7/56 + k**6/60 - 2*k**3/3 - 6*k**2. Let q(t) be the first derivative of v(t). Factor q(y). -3*y**2*(y - 2)*(y - 1)**2 Let g(k) be the second derivative of k**6/6 - 5*k**4/4 + 5*k**3/3 - 7*k. Factor g(t). 5*t*(t - 1)**2*(t + 2) Let a(f) = 9*f**3 + 17*f**2 - 26*f. Let q(i) = -3*i**3 + 9*i - 6*i**2 - 5*i**3 + 5*i**3. Let t(l) = 6*a(l) + 17*q(l). Solve t(j) = 0. -1, 0, 1 Factor -12 - 212*w**3 - 125*w**4 - 188*w**3 - 4 - 128*w - 360*w**2. -(w + 2)*(5*w + 2)**3 Suppose 5*k - 20 = k. Suppose -k = -2*w + 3. Factor 1 - 2*r**2 + r**w - 4*r**3 + r + 0*r + 2*r**3 + r**5. (r - 1)**2*(r + 1)**3 Let s(f) be the second derivative of 5*f + 5/21*f**3 - 1/70*f**5 + 1/105*f**6 + 0 - 2/7*f**2 - 1/14*f**4. Factor s(y). 2*(y - 1)**3*(y + 2)/7 Let n be -1 + (-2 + 1)*-3. Let o(a) be the first derivative of -2*a - 2/5*a**5 - n*a**4 - 4*a**3 - 1 - 4*a**2. Factor o(r). -2*(r + 1)**4 Factor -14/17*x**2 + 2/17*x + 0 + 20/17*x**3. 2*x*(2*x - 1)*(5*x - 1)/17 Factor 0*f**2 + 0*f + 0 - 4/7*f**4 - 2/7*f**3 - 2/7*f**5. -2*f**3*(f + 1)**2/7 Let w(l) be the third derivative of l**9/1512 - l**8/420 + l**6/90 - l**5/60 + l**3/2 + 3*l**2. Let n(p) be the first derivative of w(p). Factor n(o). 2*o*(o - 1)**3*(o + 1) Let v(n) be the third derivative of -2*n**7/105 - n**6/15 - n**5/15 + n**2. Suppose v(b) = 0. What is b? -1, 0 What is z in 0 - 1/7*z + 1/7*z**3 - 1/7*z**2 + 1/7*z**4 = 0? -1, 0, 1 Let d = -4 + 4. Factor 4*k**4 + 8*k**2 + 7*k**3 - k - 6*k**2 + d*k**2. k*(k + 1)**2*(4*k - 1) Let j(t) be the second derivative of 6/5*t**2 - 9*t + 1/20*t**4 + 0 - 1/2*t**3. What is h in j(h) = 0? 1, 4 Let r(f) = -f. Let t be r(0). Factor -z**2 - 3*z**3 + 3*z**2 + t*z**3 + 2*z**3. -z**2*(z - 2) Let b(h) = 9*h**5 + 4*h**3 - 13*h**2 - 13. Let g(v) = 4*v**5 + 2*v**3 - 6*v**2 - 6. Let p(k) = 6*b(k) - 13*g(k). Find a such that p(a) = 0. -1, 0, 1 Let v be (-1)/(-5) + (-56)/(-20). Let s(l) be the second derivative of 0 + l - 1/54*l**4 - 1/90*l**5 + 1/9*l**2 + 1/27*l**v. Factor s(q). -2*(q - 1)*(q + 1)**2/9 Let a = -4139/36 - -115. Let v(h) be the third derivative of -h**2 + 0 - 1/24*h**4 - a*h**5 + 1/9*h**3 + 0*h. Determine z so that v(z) = 0. -1, 2/5 Suppose -2*p + p = 4*p. Let a(h) be the second derivative of p + 1/42*h**4 + 0*h**5 + 0*h**2 - 3*h - 1/105*h**6 + 0*h**3. Determine d, given that a(d) = 0. -1, 0, 1 Suppose -6*l - 2325 = -l. Let o = l + 1409/3. Let 4/3 - o*z**3 + 14/3*z + 2*z**2 - 10/3*z**4 = 0. Calculate z. -1, -2/5, 1 Solve -2*p**3 + 6*p + p**4 - 1 + 4*p - 8*p = 0. -1, 1 Let i(b) be the first derivative of 1/15*b**3 - 1/20*b**4 + 3 + 0*b + 0*b**2. Factor i(c). -c**2*(c - 1)/5 What is t in -53*t**4 - 33*t - 6 - 9*t**2 + 65*t**4 - 27*t**2 + 3*t**3 = 0? -1, -1/4, 2 Find k such that 8/7*k**3 + 2/7*k + 10/7*k**2 + 0 = 0. -1, -1/4, 0 Let h(k) be the third derivative of k**5/20 - 5*k**4/4 + 25*k**3/2 + 11*k**2. Factor h(o). 3*(o - 5)**2 Let x(p) = 3*p**3 + p**2 + p - 1. Let o be x(1). Let n be o/22 + 174/132. Determine l so that 3/2*l**2 - n*l - 1/2*l**3 + 1/2 = 0. 1
What is the a'th term of -142, -361, -580, -799, -1018, -1237? -219*a + 77 What is the d'th term of 106, 876, 3000, 7156, 14022, 24276, 38596? 113*d**3 - d**2 - 18*d + 12 What is the j'th term of 60, 302, 946, 2190, 4232? 33*j**3 + 3*j**2 + 2*j + 22 What is the k'th term of -523, -1033, -1601, -2257, -3031, -3953, -5053, -6361? -5*k**3 + k**2 - 478*k - 41 What is the s'th term of 400, 843, 1286, 1729, 2172, 2615? 443*s - 43 What is the o'th term of 10872, 21671, 32470? 10799*o + 73 What is the v'th term of 5980, 11846, 17726, 23626, 29552, 35510, 41506? v**3 + v**2 + 5856*v + 122 What is the m'th term of -1006, -933, -812, -643, -426, -161, 152? 24*m**2 + m - 1031 What is the g'th term of 509, 1050, 1625, 2234, 2877? 17*g**2 + 490*g + 2 What is the v'th term of -1801, -3592, -5383, -7174, -8965, -10756? -1791*v - 10 What is the s'th term of 3803, 7598, 11391, 15182, 18971, 22758, 26543? -s**2 + 3798*s + 6 What is the a'th term of -48067, -96125, -144183, -192241, -240299? -48058*a - 9 What is the z'th term of -2733, -10942, -24623, -43776, -68401, -98498, -134067? -2736*z**2 - z + 4 What is the z'th term of 6679, 6665, 6651, 6637, 6623, 6609? -14*z + 6693 What is the j'th term of 4190, 8349, 12508, 16667? 4159*j + 31 What is the y'th term of 462, 2505, 8042, 18819, 36582, 63077, 100050? 291*y**3 + y**2 + 3*y + 167 What is the v'th term of 2797, 4753, 6709, 8665? 1956*v + 841 What is the v'th term of 39, 641, 2253, 5373, 10499, 18129, 28761, 42893? 83*v**3 + 7*v**2 - 51 What is the x'th term of -35032, -70062, -105092, -140122, -175152? -35030*x - 2 What is the d'th term of 317, 337, 357, 377, 397, 417? 20*d + 297 What is the i'th term of -310396, -620794, -931192, -1241590? -310398*i + 2 What is the b'th term of 1175, 1167, 1151, 1127, 1095, 1055? -4*b**2 + 4*b + 1175 What is the g'th term of -423, -344, -279, -234, -215, -228, -279, -374? -g**3 - g**2 + 89*g - 510 What is the b'th term of 1925, 15361, 51829, 122843, 239917, 414565, 658301? 1919*b**3 + 2*b**2 - 3*b + 7 What is the q'th term of -30997, -61993, -92999, -124021, -155065? -q**3 + q**2 - 30992*q - 5 What is the j'th term of 294, 930, 1978, 3426, 5262? -2*j**3 + 218*j**2 - 4*j + 82 What is the z'th term of 684, 690, 696, 702, 708, 714? 6*z + 678 What is the l'th term of 298, 356, 458, 610, 818, 1088, 1426, 1838? l**3 + 16*l**2 + 3*l + 278 What is the a'th term of 95, 68, 49, 38, 35, 40, 53? 4*a**2 - 39*a + 130 What is the x'th term of 16980, 16965, 16950, 16935, 16920? -15*x + 16995 What is the s'th term of -867, -3673, -8371, -14955, -23419, -33757, -45963? s**3 - 952*s**2 + 43*s + 41 What is the u'th term of 7666, 7573, 7466, 7339, 7186, 7001, 6778, 6511? -u**3 - u**2 - 83*u + 7751 What is the p'th term of 90, 396, 908, 1626, 2550, 3680, 5016? 103*p**2 - 3*p - 10 What is the i'th term of 91, 388, 885, 1582? 100*i**2 - 3*i - 6 What is the i'th term of -1582, -6303, -14164, -25159, -39282? i**3 - 1576*i**2 - 7 What is the r'th term of -421, -418, -415, -412, -409, -406? 3*r - 424 What is the a'th term of 1532, 1529, 1526, 1523, 1520? -3*a + 1535 What is the b'th term of 1128, 2373, 3730, 5193, 6756, 8413, 10158? -b**3 + 62*b**2 + 1066*b + 1 What is the r'th term of -998, -1933, -2856, -3761, -4642, -5493? r**3 - 942*r - 57 What is the z'th term of 782, 1551, 2318, 3083, 3846, 4607? -z**2 + 772*z + 11 What is the n'th term of -76, -147, -266, -433, -648? -24*n**2 + n - 53 What is the s'th term of -160, -326, -782, -1672, -3140, -5330, -8386, -12452? -24*s**3 - s**2 + 5*s - 140 What is the l'th term of -517, -4059, -13659, -32347, -63153, -109107, -173239, -258579? -505*l**3 + l**2 - 10*l - 3 What is the v'th term of 2002, 8038, 18098, 32182, 50290? 2012*v**2 - 10 What is the r'th term of 21935, 21953, 21997, 22079, 22211? 2*r**3 + r**2 + r + 21931 What is the v'th term of -15956, -15939, -15912, -15875? 5*v**2 + 2*v - 15963 What is the s'th term of 82, 106, 132, 160, 190, 222, 256? s**2 + 21*s + 60 What is the w'th term of 706, 774, 842? 68*w + 638 What is the i'th term of 1039, 2065, 3073, 4063? -9*i**2 + 1053*i - 5 What is the b'th term of -34, -77, -128, -187? -4*b**2 - 31*b + 1 What is the v'th term of -42640, -42631, -42610, -42571, -42508, -42415, -42286? v**3 + 2*v - 42643 What is the q'th term of 46, 204, 554, 1192, 2214, 3716, 5794, 8544? 16*q**3 + 46*q - 16 What is the w'th term of -2029, -4439, -8455, -14077, -21305? -803*w**2 - w - 1225 What is the u'th term of -9596, -9587, -9580, -9575? -u**2 + 12*u - 9607 What is the r'th term of 7339, 7311, 7261, 7189? -11*r**2 + 5*r + 7345 What is the s'th term of -16, 24, 138, 368, 756? 7*s**3 - 5*s**2 + 6*s - 24 What is the m'th term of -8632, -34486, -77570, -137878, -215404, -310142, -422086? m**3 - 8621*m**2 + 2*m - 14 What is the u'th term of 233, 330, 425, 518? -u**2 + 100*u + 134 What is the u'th term of 781, 3134, 7061, 12562? 787*u**2 - 8*u + 2 What is the h'th term of 738, 361, -654, -2625, -5870, -10707, -17454? -53*h**3 - h**2 - 3*h + 795 What is the l'th term of -622, -691, -764, -841? -2*l**2 - 63*l - 557 What is the r'th term of 2140, 8574, 19300, 34318? 2146*r**2 - 4*r - 2 What is the o'th term of -6960, -13915, -20870, -27825? -6955*o - 5 What is the b'th term of -76080, -152165, -228252, -304341, -380432, -456525, -532620? -b**2 - 76082*b + 3 What is the m'th term of 135, 276, 527, 900, 1407, 2060, 2871? 2*m**3 + 43*m**2 - 2*m + 92 What is the n'th term of -52, -86, -100, -88, -44, 38, 164? n**3 + 4*n**2 - 53*n - 4 What is the c'th term of 72, 679, 2352, 5631, 11056, 19167, 30504, 45607? 90*c**3 - 7*c**2 - 2*c - 9 What is the t'th term of 127, 326, 655, 1114? 65*t**2 + 4*t + 58 What is the w'th term of -359, -864, -1369, -1874, -2379, -2884? -505*w + 146 What is the s'th term of 1460, 1525, 1590? 65*s + 1395 What is the c'th term of -2778, -5575, -8392, -11229? -10*c**2 - 2767*c - 1 What is the k'th term of -2725, -2731, -2741, -2755, -2773, -2795, -2821? -2*k**2 - 2723 What is the v'th term of 73, -104, -421, -902, -1571, -2452, -3569? -4*v**3 - 46*v**2 - 11*v + 134 What is the u'th term of -38, -9, 16, 37, 54, 67? -2*u**2 + 35*u - 71 What is the a'th term of 1200, 2266, 3328, 4386? -2*a**2 + 1072*a + 130 What is the d'th term of -128, -127, -118, -101, -76, -43, -2? 4*d**2 - 11*d - 121 What is the m'th term of -449999, -449983, -449967? 16*m - 450015 What is the u'th term of -403, -429, -455, -481? -26*u - 377 What is the s'th term of -6842, -6840, -6838? 2*s - 6844 What is the s'th term of 3209, 6389, 9567, 12743, 15917, 19089, 22259? -s**2 + 3183*s + 27 What is the t'th term of 346, 1330, 2968, 5260, 8206, 11806, 16060? 327*t**2 + 3*t + 16 What is the j'th term of 2957, 5918, 8881, 11846, 14813? j**2 + 2958*j - 2 What is the l'th term of -409678, -819355, -1229032, -1638709? -409677*l - 1 What is the f'th term of -65534, -131066, -196598, -262130, -327662? -65532*f - 2 What is the d'th term of 116, 875, 2956, 7019, 13724, 23731, 37700? 110*d**3 + d**2 - 14*d + 19 What is the s'th term of 1008, 988, 968, 948, 928? -20*s + 1028 What is the c'th term of -637, -646, -665, -694, -733? -5*c**2 + 6*c - 638 What is the m'th term of 105397, 210777, 316155, 421531, 526905, 632277? -m**2 + 105383*m + 15 What is the g'th term of -2163, -4313, -6463, -8613, -10763? -2150*g - 13 What is the l'th term of 1898, 3868, 5838? 1970*l - 72 What is the d'th term of 230, 265, 308, 359, 418, 485, 560? 4*d**2 + 23*d + 203 What is the z'th term of 3217, 3237, 3271, 3319, 3381? 7*z**2 - z + 3211 What is the i'th term of -310, -344, -418, -556, -782, -1120? -4*i**3 + 4*i**2 - 18*i - 292 What is the p'th term of -4650, -4977, -5308, -5643, -5982, -6325, -6672? -2*p**2 - 321*p - 4327 What is the v'th term of -319658, -639303, -958938, -1278557, -1598154, -1917723, -2237258? v**3 - v**2 - 319649*v - 9 What is the i'th term of 16053, 16062, 16071, 16080, 16089, 16098? 9*i + 16044 What is the p'th term of 824394, 824391, 824388, 824385, 824382, 824379? -3*p + 824397 What is the o'th term of 9646, 9645, 9632, 9601, 9546, 9461, 9340, 9177? -o**3 + 6*o + 9641 What is the t'th term of -28487, -28486, -28485? t - 28488 What is the r'th term of -170, -362, -682, -1130, -1706, -2410? -64*r**2 - 106 What is the y'th term of -760, -3051, -6868, -12211? -763*y**2 - 2*y + 5 What is the j'th term of 3711, 14863, 33451, 59475? 3718*j**2 - 2*j - 5 What is the c'th term of -600, -623, -642, -657, -668, -675, -678? 2*c**2 - 29*c - 573 What is the n'th term of -94518, -94521, -94524, -94527, -94530? -3*n - 94515
Let r = -12.43 + 14.13. Put 1, -0.5, -4, r in decreasing order. r, 1, -0.5, -4 Suppose 4*t - 5*a = 65 + 30, 5 = 5*a. Let n be -3 + 3 - 1/(-2). Sort 3/7, -0.2, t, n in ascending order. -0.2, 3/7, n, t Let k(x) = -3*x - 7. Let d be k(-4). Suppose -d*j - 3 = 7. Let g(t) = -t**2 + 4. Let o be g(j). Sort -7, 4, o in descending order. 4, o, -7 Let g be 0 - (1 - 0)/1. Let p = 1.689 + -7.689. Put 0.2, p, g in ascending order. p, g, 0.2 Let v = -47 + 62. Sort v, 4, 6, -4 in ascending order. -4, 4, 6, v Let w be -13 + 27*10/30. Put w, 0, 1 in decreasing order. 1, 0, w Let x = 0.04 + 4.96. Let l = 7 - x. Put -4, l, -0.12 in decreasing order. l, -0.12, -4 Let k = -10 + 20. Let m be (-13 + 5 - -6)/2. Let d = 2 - 1. Sort k, d, m. m, d, k Suppose -40*d = -45*d + 10. Suppose d*i + 14 = 2*s, 0 = -0*s - 4*s - 16. Sort 2, i, -4 in descending order. 2, -4, i Let t = -100.7 + 96.7. Let f = 5 - 2. Sort f, -0.2, t in decreasing order. f, -0.2, t Suppose -3*y + 13*g - 9 = 11*g, g = -y + 2. Put y, 2, -5 in increasing order. -5, y, 2 Let i = 19.63 - 0.63. Let o = i - 14. Put o, 1/2, -5 in decreasing order. o, 1/2, -5 Let x = 2420.907 + -2421. Let f be (-4)/6 - (-3 - -2). Sort x, f, 2 in ascending order. x, f, 2 Let y = -3 + 2. Let r = 37.04 - 32.04. Sort r, -0.5, y, 1 in decreasing order. r, 1, -0.5, y Suppose -9 = 3*u + 5*r, 3*u + 4*r + 9 = -0*r. Suppose 3*m - 8*m + 5 = 0. Let t be (-20)/25*(4 - (0 - m)). Sort -5, u, t. -5, t, u Let l(s) = -s**3 - 13*s**2 + 12*s - 25. Let r be l(-14). Put r, 9, -26 in decreasing order. 9, r, -26 Let i be (1/2)/(7/14). Let t = -34 - -33. Put t, 9, i in increasing order. t, i, 9 Suppose 0 = 23*x - 18*x + 5. Sort 2, -0.04, x in increasing order. x, -0.04, 2 Let a(w) = 5*w**2 + 131*w + 24. Let l be a(-26). Sort 6, 3/4, -0.7, l. l, -0.7, 3/4, 6 Let p be -17 - -18 - (0 - 0). Let q be (10/3)/(-2) + p. Put -4, -2/7, q in descending order. -2/7, q, -4 Let s = 21.867 - 22.067. Let u be (-2)/(-1 + -1) + -7. Let r be (-48)/(-119) - u/(-21). Sort 1, r, s in descending order. 1, r, s Suppose 2*u = 0, -2*v = -0*v + 2*u - 96. Let g = v - 51. Suppose 0 - 2 = l. Sort 3, l, g in descending order. 3, l, g Let c(p) = -p**3 + 5. Let m be c(0). Suppose -m*d - 1 = -16. Let j be (d/(-7) + 1)/(-2). Sort j, 2, 0 in descending order. 2, 0, j Let s = 700 + -696. Sort -27, s, -3 in decreasing order. s, -3, -27 Suppose m = 2*m. Let f(p) = -p**3 + 4*p**2 - 5*p + 10. Let d be f(3). Sort m, -5, d in decreasing order. d, m, -5 Let j = 804487/1729 + -6052/13. Let g = 2/19 + j. Sort g, -1/2, -3. -3, -1/2, g Suppose 8 = -3*n + 2. Let a(d) = -2*d**3 - 20*d**2 + 5*d + 55. Let i be a(-10). Put i, n, -3, -4 in ascending order. -4, -3, n, i Let t = 174 + -192. Let w be ((-6)/(-20))/(-6 - 96/(-20)). Put w, t, -2, -2/11 in decreasing order. -2/11, w, -2, t Let z(x) = -x + 20. Let i be z(-10). Let h = i - 35. Put h, -6, 0 in increasing order. -6, h, 0 Let x be 9/(-6)*10/(-3). Suppose -4*q = 12 + 8, -3*s - 3 = 3*q. Suppose 4*f - 2*f = s. Put 1, f, x in decreasing order. x, f, 1 Let a = 581 - 577. Put a, -20, -5, 8 in increasing order. -20, -5, a, 8 Let y = -138 + 143. Put -2, 6, 0, y in ascending order. -2, 0, y, 6 Let t be (-428)/(-535) + (-19)/5. Let p = -3 + 4. Sort t, p, -5, 3 in descending order. 3, p, t, -5 Let p = 1161 - 1162. Let t = 4.08 + -0.08. Sort -1/4, p, t, -3 in increasing order. -3, p, -1/4, t Let l = -2 - -1. Let w = -261.587 + -0.413. Let q = 259 + w. Sort -1/6, l, q in descending order. -1/6, l, q Let p = 3/70 + 11/70. Sort -4/3, -4, p in decreasing order. p, -4/3, -4 Suppose w = 4*r - 14, 2*w - 2*r = -2*w. Let c = -54 - -53. Let s(m) = -2*m**3 - 4*m**2 - 4*m - 3. Let j be s(-2). Sort c, w, j. c, w, j Let t = -23 + 15. Let n be 363/44 - 6/t. Sort n, 4, -4, -1 in ascending order. -4, -1, 4, n Let w = 0.5 + -0.3. Let u = -0.15 + w. Let d = 37458 - 37461. Put u, d, 2 in descending order. 2, u, d Suppose 3*l - v = -1, 5*l + 2*v = -0 + 2. Suppose l*d + 5*b = 3*d - 14, 5*d + b - 14 = 0. Suppose 8 = -5*h - d*h. Sort -6, -4, h in descending order. h, -4, -6 Suppose 0 = -f + 3*j + 10 - 0, 5*f + 14 = -j. Let g(y) = -3*y - 16. Let i be g(-4). Sort 7, f, i in decreasing order. 7, f, i Suppose 0 = 4*k + 4 + 72. Let g(b) = b**3 + 20*b**2 + 17*b - 41. Let s be g(k). Suppose 3*l - 7 = -0*l + a, -27 = -3*l - 3*a. Put s, l, -5 in increasing order. -5, s, l Let v be ((20/(-15))/((-4)/(-3)))/3. Put -5, -1/32, v in ascending order. -5, v, -1/32 Let b = -179 + 174. Put -3/5, b, 11 in ascending order. b, -3/5, 11 Let m(v) = 3*v - 12. Let d be m(4). Suppose 5*f + 4*k + 120 = 0, -f - 3*f - 5*k - 105 = 0. Let j be d + (f/5 - -7). Sort j, 8, 2/9. 2/9, j, 8 Let d be 308/(-132)*(-2)/(-42). Sort 1/4, 4, 5, d in increasing order. d, 1/4, 4, 5 Let a = 43.941 + 0.059. Let m = a - 41. Put m, -2/3, -0.5 in decreasing order. m, -0.5, -2/3 Let a(q) = -2*q**2 - 4*q + 4. Let f be a(1). Suppose 0 = -3*z - z - 4, 5*n = -z - 1. Sort f, -5, n in ascending order. -5, f, n Let w be (4/(-24))/((-5)/(-4345)). Let n = -145 - w. Sort -0.5, n, -7 in decreasing order. n, -0.5, -7 Let x = 14.51 + -10.51. Sort 338, x, 0 in increasing order. 0, x, 338 Let z = -2491 - -2490.5. Let a = 2 - 1.6. Sort a, -0.4, z, 1 in increasing order. z, -0.4, a, 1 Let d(q) = -2*q - 17. Let c be 1*((0 - 2) + 4). Suppose -c*j + 6*j + 28 = 0. Let a be d(j). Sort 3, a, 8 in increasing order. a, 3, 8 Let x(w) = -10*w**2 + 2 + 2*w**3 - 3*w**3 + 1 + 0*w**3. Let r be x(-10). Let u be 2 + (36/(-7))/r. Put -1, u, 3 in decreasing order. 3, u, -1 Suppose 0 = v - 2 - 2. Suppose 0 = -3*w - 2*u + v + 4, 5*w - 5*u = 30. Let y = 3/97 + 161/1067. Sort w, 1, y in ascending order. y, 1, w Suppose -74 - 6 = -8*t. Sort t, -5, 1/5 in ascending order. -5, 1/5, t Suppose 0 = -3*n + n - 54. Let p = n - -15. Put 1, 0, p in descending order. 1, 0, p Suppose 15*x + 31 = 19*x + 3*l, 5*x = l + 15. Sort x, 11/2, -2/19 in descending order. 11/2, x, -2/19 Let m = -126.1 + 126. Sort -1, -1.7, m in descending order. m, -1, -1.7 Let d(n) = -n**3 + n**2 + 11. Let a be d(0). Let t(l) = l**3 + 8*l**2 + 12*l + 4. Let k be t(-6). Sort k, 1, a in increasing order. 1, k, a Let p be (-8)/32 - 73/(-4). Let x = p - 17. Put -2, x, -0.2 in increasing order. -2, -0.2, x Suppose -4*f + 6 = -2*s, 4*s + 3 = 3*f + 6. Put -3, -4, s, 7 in increasing order. -4, -3, s, 7 Suppose x - 5 = p - 3, p + 18 = 5*x. Let h(q) = -q**3 - 6*q**2 - 2*q - 7. Let y be h(-6). Let g be 4*(-5 + 16/4). Put g, y, x in decreasing order. y, x, g Let f = -831 + 827. Sort 1, 19, f, -1 in decreasing order. 19, 1, -1, f Let n = 78/5 - 161/10. Put 2.4, -0.4, n, 4/9 in decreasing order. 2.4, 4/9, -0.4, n Suppose 2*a = -5*b - 13, 2*a = -3*b - b - 12. Put -1, a, 594 in decreasing order. 594, -1, a Let r = 18 + -17. Suppose 2*k + 3 = r. Sort k, 1, -3 in increasing order. -3, k, 1 Let u = -34.5 - -37.5. Sort 3/5, -13, u. -13, 3/5, u Let y = 482 + -476. Sort y, -2, -3, 0 in descending order. y, 0, -2, -3 Let o = -0.24 + 0.46. Let i = o + 0.08. Let q = -52/5 - -349/35. Put q, i, 0 in increasing order. q, 0, i Suppose -l + 16 + 9 = 5*n, 0 = -3*n + 5*l - 13. Suppose 2*i = -4*i - 198. Let k be 138/i + 2/11. Sort -7, k, n in increasing order. -7, k, n Let q = 1.5 - -0.5. Let h = 48 - 47.934. Let c = h - 0.566. Put -1, c, q in decreasing order. q, c, -1 Let w = -726 - -727. Let r = 0.04 - 0.34. Put 13, r, w, 3/2 in descending order. 13, 3/2, w, r Let x(g) = g**3 - 7*g**2 + 6*g + 2. Let w be x(6). Let u be 2 - ((-4)/(-4) + -3). Suppose 4*m = w*f - 4*f, -5 = 3*m + u*f. Put m, -4, 5 in increasing order. -4, m, 5 Suppose -p + 15 = -r, -52 = -3*p - 2*r - 2*r. Put -3, -1, p, 0 in increasing order. -3, -1, 0, p Suppose 30*z - 26*z - 35 = -3*l, z = l. Put 200, l, -4 in descending order. 200, l, -4 Suppose 0 = -2*f - 5 - 5, -4*f + 40 = 5*b. Suppose -b = 5*p + 8. Sort 0, p, 3, 6 in descending order. 6, 3, 0, p Suppose -1 = -4*i + 23. Suppose r + i = 4*r. Sort r, -0.1, -2 in increasing order. -2, -0.1, r Let u be (56/(-30) + 2)*5. Let z = -0.762 + 0.462. Let g = 3.3 + -0.3. Sort g, z, u. z, u, g Let k be -10*(-2 - -5)/(-6). Suppose 0 = 3*p + k*j - 8, 0 = p - 3*j - 2*j + 4. Suppose 4*g = 9*g + 10. Put p, g, -3 in descending order. p, g, -3 Let i = 12 + -3. Put 0.2, i, -3/8, 4 in increasing order. -3/8, 0.2, 4, i Suppose -3*f - 7*m = -9*m - 1, 3*m = -4*f - 10. Sort -4/5, f, -1.5 in decreasing order. -4/5, f, -1.5 Suppose -3*s + 3*v - 1 = -2*s, 4*v = s + 3. Suppose 18*i - 21*i = -9. Suppose q - 2*m - 1 = 3, -2*q + i*m + 4 = 0. Sort s, -1, q in decreasing order. s, -1, q
Expand 2*c + 2*c - 6*c + 2 - 2 + 2*c + (-c - 2*c + 4*c)*(5 - 4 + 0) + (2 + 2 - 7 + 3 - 4 + 0 + (-1 + 0 - 1)*(2 + 3 - 6))*(-8*c - 6 + 12*c + 1). -7*c + 10 Expand (81*a - 91*a + 151*a)*(2 + 4 - 3) + 7*a - 3 - 18*a + 13*a. 425*a - 3 Expand 3*n + 4*n - 5*n + (7*n - 2*n - 20*n)*(4 + 3 - 5) + 36*n + 249 - 249. 8*n Expand (6 - 2 + 13)*(-3 + 1 + 0)*(15 - 48 + h - 5*h). 136*h + 1122 Expand (-b - 24*b**2 + 11*b**2 - 105*b**2)*(0*b + 3*b - b) + 2 - b**3 - 2. -237*b**3 - 2*b**2 Expand (-2*t + t + 0*t)*(1 + 2 - 1)*(74 - 139 - 347) + 4*t - 2*t + 0*t. 826*t Expand (-183630 + 183630 + 3197*y)*((-y + 3*y + 0*y)*(-3*y + 4*y - 3*y) + y + 2*y**2 - y). -6394*y**3 Expand (-44 - 90 - 12 - 285 + 10)*(880 - 880 + 7*d). -2947*d Expand (5*g**3 - 4*g**3 + 0*g**3)*(0 + 0 - g**2) + 5*g**4 + 47112*g**5 - 4*g**4 - 47129*g**5 + 307*g**2. -18*g**5 + g**4 + 307*g**2 Expand (2 - 4 + 4)*(2 - 1 + 0 + (2 + 4 + 1)*(13 - 20 - 13))*(-3 - 10 + 4)*(6 + 0 - 5)*(n - n + 3*n**2). 7506*n**2 Expand (80 - 90 - 67)*(-6*x - 11 + 11) + 0*x - x + 3*x. 464*x Expand 0*n**2 - 2*n**2 + 3*n**2 + (-2*n**2 + 4*n**2 - 4*n**2)*(1 - 3 + 0) - 465*n**2 + 103877*n - 103877*n. -460*n**2 Expand ((-3*q**2 + q**2 + q**2)*(1 - 1 + 2) + 0*q**2 + 2*q**2 - 5*q**2 - 1455*q**2 + 3339*q**2 - 1324*q**2)*(-2*q + 2*q - 2*q). -1110*q**3 Expand -19*l**2 - 20*l**5 - 24*l**2 + 48*l**2 + (-3*l - l**2 + 3*l)*(l**3 - 4 + 4) - l**5 + 2*l**5 - 3*l**5. -23*l**5 + 5*l**2 Expand (2*h + 43 + 307 + 375)*(4*h + 3*h - 3*h)*(-2*h - 6 + 4 - 1). -16*h**3 - 5824*h**2 - 8700*h Expand (5*w**3 - 6 + 2 - w**3)*(-81 - 40 + 89)*(7 - 4 + 11). -1792*w**3 + 1792 Expand -212*x**3 + 3*x**4 + 212*x**3 + (0*x**3 + 0*x**3 + 2*x**3)*(4 + 2*x - 4) - 253*x**2 + 253*x**2 + 70*x**4. 77*x**4 Expand -13*y**3 - 18*y**3 + 21*y**3 + (7*y - 23*y - 29*y)*(4*y - y**2 - 4*y). 35*y**3 Expand (87*q**2 - 197*q**2 - 164*q**2)*(5 - 4 + 1) + (-q + 0 + 0)*(5*q - 4*q - 2*q) + 2*q**2 + q - q. -545*q**2 Expand -6*j**5 - 32 + 32 + (j + j - j)*(-j**3 - j**4 + j**3) - 2*j**5 - j**5 + 2*j**5 + 154*j**5 - 148*j**5 - 71*j**5. -73*j**5 Expand (-50 + 173 + 12)*(6*r - 84*r + 19*r)*(r - 2*r + 2*r). -7965*r**2 Expand (-2*s + s + 3*s)*((-4 + 3 - 3)*(2*s + 2*s - s) + 2*s - 3*s + 2*s). -22*s**2 Expand (-3 + 4 - 4)*(-2*y**2 + 103*y - 103*y). 6*y**2 Expand -m**4 + 3*m**3 - 3*m**3 - 17*m**4 - 55*m**4 + 12*m**4 + (m - 1 + 1)*(-4*m**3 + 2*m**2 - 2*m**2) - 2*m**2 + m**4 + 2*m**2. -64*m**4 Expand (-2*i**3 - 1 + 1)*(-24082 - 6356 + 8687 + 4055 - 24430). 84252*i**3 Expand (-130*j + 185*j - 303*j - 398*j)*(14*j**2 + 6*j**2 - 24 + 23). -12920*j**3 + 646*j Expand (843 - 843 + 1168*v)*(2 - 4 - 5 + 2*v). 2336*v**2 - 8176*v Expand -13 + 14 + 1 - 352*z**5 + (0*z**2 + 0*z**2 - 8*z**4)*(0*z + z - 3*z). -336*z**5 + 2 Expand 3*x**5 + 4*x**3 - 4*x**3 + (-x - 6*x + x)*(-3*x**4 + x**4 + 0*x**4) + (0*x - x**4 + 0*x)*(2*x - x - 2*x) + 12 - 12 - 39*x**5. -23*x**5 Expand (0*g + g + 0*g)*(-2*g**2 + 2*g**3 + 2*g**2) - 3 - g**4 + 3 - 88*g**4 + 2*g**2 - 4*g**3 + 137*g**4 + 5*g**3. 50*g**4 + g**3 + 2*g**2 Expand (-13 + 22*x + 13 + (4*x + 0*x - 5*x)*(-1 - 4 + 4))*(35*x + 34*x + 66*x). 3105*x**2 Expand (185 + 431 - n + 181)*(n - n - n**2). n**3 - 797*n**2 Expand 3*t**5 - 6*t**5 + 2*t**5 + (-4*t**3 - 7*t**3 + 4*t**3)*(-2*t**2 - 18*t**2 - 20*t**2) + (-1 - 2 + 2)*(t**3 - t**3 - 2*t**5) + 4 + t**5 - 4. 282*t**5 Expand -2*v**5 + 0*v**3 + 0*v**3 + (-4*v**5 + 0*v**5 + 3*v**5)*(1 + 2 - 1) + (0*v**2 - 7303*v**5 + 0*v**2 + 8694*v**5)*(0 - 3 - 7). -13914*v**5 Expand (7228770 - 7228770 + 8283*a**3)*(-2*a - 2 + 2)*(0*a + 3*a - 2*a). -16566*a**5 Expand 5*x - 8*x**5 - 5*x + (-5*x**3 + 5*x**3 + 2*x**3 + 6*x**3 - 2*x**3 - 2*x**3 + (-x + 2*x**2 + x)*(-x + 0*x + 3*x))*(3*x**2 - 5*x**2 - x**2). -32*x**5 Expand (-25 - 4 + 61 + 30)*(8*q**2 + 5*q**2 - 2*q**2) + (4*q - 2*q - 3*q)*(-2*q - 2*q + 6*q). 680*q**2 Expand (2*p + 3*p - p)*(-53*p**2 - 190*p**2 - 306*p**2) + 3*p**3 - p**3 - 3*p**3. -2197*p**3 Expand 114*m**2 - 1 - 4*m - 127*m**2 + 10*m**2 + 5*m**2 - 2*m**2 + 4*m**2 + (5*m - 2*m - m)*(m + 2*m - m). 8*m**2 - 4*m - 1 Expand -26*s**4 + 81*s**4 - 27*s**4 + (-5*s**2 - 5*s**3 + 5*s**2)*(0*s + s - 2*s) - 4*s**4 - 2 + 2. 29*s**4 Expand (-x**3 + 0*x + 0*x)*(4 + 5*x - 4) + (-x + 2*x - 4*x)*(26*x**3 + 223*x - 223*x). -83*x**4 Expand (0 - i + 0)*(2*i**3 - 9 + 483*i**2 - 484*i**2 + 4*i - 3*i). -2*i**4 + i**3 - i**2 + 9*i Expand 11360*x - 19258*x - 18912*x + (4*x - 4*x - x)*(1 - 3 + 4) + 2*x - x + 0*x - 2*x + 1 - 1. -26813*x Expand (-2 + 1 + 2)*(-u - 3*u + 6*u) + u + 10*u + 13*u - 31*u + 19*u - 55 + 14*u. 28*u - 55 Expand (-3*i + i + i)*(9749*i - 10656*i - 6145*i). 7052*i**2 Expand (1270*j**4 + 84350*j**3 - 84350*j**3)*(3*j - 2*j + 0*j) + (-2*j + 4*j + 0*j)*(3*j**4 - 3*j**4 + j**4). 1272*j**5 Expand (5*z**2 - z**2 - 2*z**2)*(701*z**2 - 2178*z**2 + 671*z**2). -1612*z**4 Expand (2*n - 2 + 2)*(-2*n - n + 2*n)*(-406*n**2 - 341*n**2 + 170*n**2). 1154*n**4 Expand (126*q + 26*q + 227*q)*(-3 + 3 + 3*q**2 + (2 - 2*q - 2)*(2*q + 0*q - 3*q) + 4*q**2 + q**2 - 3*q**2 + q**2 + 4*q - 4*q - q**2 - q**2 - q**2). 1895*q**3 Expand (3*i + 128*i**3 - 269*i**3 + 132*i**3)*(65 - 65 + 3*i). -27*i**4 + 9*i**2 Expand (-5*s - 14*s + 3*s)*(-5 + 5 - 1) + (-2 - 3 + 6)*(3 - 5 + 0)*(3 - 3 - 1)*(-18*s - 21*s - 3*s). -68*s Expand (-130*b + 5 - 3*b**2 + 130*b)*(0*b - 1 - 2*b + 0*b) - 36*b**2 + 6*b**3 + 36*b**2. 12*b**3 + 3*b**2 - 10*b - 5 Expand (17 - 171 - 139 + (0 - 4 + 3)*(-3 + 3 + 1))*(1 + 3 - 3)*(-2*f + 0 + 0)*(0 + f + 0). 588*f**2 Expand (1 - 12 + 1)*(p**3 - 4*p**3 - 4*p**3)*(-8*p**2 + 50*p**2 + 29*p**2). 4970*p**5 Expand (-5295*r**4 + 5289*r**4 - 57*r - 1 - 42*r)*(-1 + 1 + 3). -18*r**4 - 297*r - 3 Expand ((-7*d - d + d)*(6 - 1 - 1) - 4*d - d - 47*d)*(-2*d - 2*d + 2*d) - 3*d**2 + 4*d**2 + 0*d**2 + (0 + 2 - 3)*(d - d + 2*d**2). 159*d**2 Expand (-54 - 27 - 15)*(-g - 2*g + 6*g). -288*g Expand -q**2 - 2*q + 2*q + (4*q + 3 - 3)*(16288 - 430*q - 16288). -1721*q**2 Expand (4 - 4 + 4)*(-4 + 4 + q**2) + (28*q**2 - 407 + 407)*(3 + 23 - 2). 676*q**2 Expand (-194*w - 2*w**2 + 9 + 194*w)*(-29*w**2 + 7106*w - 7106*w). 58*w**4 - 261*w**2 Expand (-1166 + 1166 + 489*f)*(0 - 2 + 3) + (3 - 3 + 2*f)*(0 + 0 + 1) - 3*f + f - 2*f. 487*f Expand (-74*n**5 - 13078*n**2 + 13078*n**2)*(-1 + 3 - 3) + (n**2 + 0*n**2 - 2*n**2)*(-n**3 - n**2 + n**2). 75*n**5 Expand (-21 + 24*v + 21 + 2*v - 2*v + v + 3 - 3 - v + (2*v + 0*v + 0*v)*(1 - 4 + 1))*(-17790 + 2*v**3 + 17790 + 59*v). 40*v**4 + 1180*v**2 Expand (31 - 20504*c**4 + 132*c**3 - 17 - 14 + 20508*c**4)*(-1 - 2 - 9). -48*c**4 - 1584*c**3 Expand 2*h**4 + 2*h**4 - 6*h**4 + (17*h**3 - h**3 - 4*h**3)*(3 - 1 - 1)*(52*h - 113*h - 46*h). -1286*h**4 Expand -3*p - 3 + 5 + 2*p - 1762*p + 168*p + 88*p + (0*p + p + p)*(-3 - 1 + 1) + 1 - 1 + 2*p + 3 - 3 + 3*p. -1508*p + 2 Expand (-2*s - 2*s + 2*s)*(2*s**3 - 4 + 4) + 951*s**4 - 978535*s**2 + 978535*s**2 + 3*s**4 - 2*s**4 - 3*s**4. 945*s**4 Expand (2*a + 2*a + 3*a)*(-2 - 3 + 1) - 19 + 61*a - 30*a - 28*a. -25*a - 19 Expand (-s - s + 3*s)*(2*s**2 - 3*s**2 + 4*s**2) + (-81*s + 397 - 397)*(-4*s + 2*s + 3*s)*(-s + 1 - 1). 84*s**3 Expand (1 - 6 - 1)*(-31*g + 1721 - 1721)*(0*g + 0*g + 2*g**2). 372*g**3 Expand (-2*i - 2*i + 2*i)*((-1 - 2*i + 1)*(0 - 1 + 2) - 2*i + 3*i - 4*i)*(-457*i - 3683*i + 955*i). -31850*i**3 Expand (44*a - 184*a - 129*a)*(-2*a**4 - a**4 + 0*a**4) + (a + 0 + 0)*(-2*a + 2*a + 2*a**4) - 4*a**5 + 2*a**5 + a**5 + 3*a**5 + 2*a**5 - 3*a**5. 810*a**5 Expand -7*c + 33*c + c + 2*c - 5*c + c + (-1 - c + 1)*(3 - 4 + 0) - 2*c + 0*c + 5*c. 29*c Expand 3*p**5 - p**5 - p**5 + ((p - 3*p + 4*p)*(5 - 1 - 1) + 15 - 26 - 8*p + 10)*(-2*p**3 + 2*p**4 + 2*p**3). -3*p**5 - 2*p**4 Expand (6*f**2 - f**2 - f**2)*(-175*f - 682*f - 1096*f - 63*f). -8064*f**3 Expand (0*g**2 - g**2 + 7*g**2)*(-22*g**3 + 115*g**2 - 115*g**2) - 77*g**2 - 3*g**5 - 7*g**5 + 72*g**2. -142*g**5 - 5*g**2 Expand (-2*f + 0*f + 3*f)*((3 - 3 - 2)*(3 - 2 + 1) + 140 - 28 + 4)*(8 - 8 - 2*f). -224*f**2 Expand 3*x**2 - 3*x**2 + 9*x**2 + (-16 + 33 - 4)*(2*x - x**2 - 2*x). -4*x**2 Expand (-2*d + 2 - 2)*(4 - 4 - d**4) + 0*d**4 - d**5 + 0*d**4 - 27493 + 27493 - d**3 - 245*d - 2*d**5. -d**5 - d**3 - 245*d Expand -1217*g**5 + 735*g**5 + 726*g**5 + (g**3 + 2*g**3 - 4*g**3)*(-22*g**2 + 42*g**2 - 39*g**2). 263*g**5 Expand (-1832*h**4 - 313*h**4 - 155*h**4)*(-1 - 2 - 2). 11500*h**4 Expand 14 - 14 + 11*o**4 + (15*o**3 - 4*o**3 - o**3)*((o + 1 - 1)*(-4 + 1 + 2) + 7*o - 6*o + 2*o). 31*o**4 Expand -9 - 6*p**4 - 18637*p + 2*p**3 + 2*p**2 + 18637*p + (11*p + p + p)*(2*p**3 + 1 - 1). 20*p**4 + 2*p**3 + 2*p**2 - 9
Rearrange (-2 - 1 + 2)*(-1 - i + 1) - 3162 + 3162 + 171*i to the form s*i + q and give q. 0 Rearrange 45*y - 4*y - 2 - 44*y - 3*y**2 to the form t*y + n*y**2 + p and give t. -3 Rearrange g**3 + g**3 + 0*g**3 + (2*g**2 - g**2 - 3*g**2)*(0*g + 4*g - 2*g) + 29*g**3 + 76*g**3 + 11*g**3 to the form t + i*g + b*g**3 + a*g**2 and give b. 114 Express 0*p**4 + 0*p**3 - 17*p**3 - p + 445 - 2*p**4 - 443 in the form x*p**2 + z*p**3 + a*p + r + l*p**4 and give a. -1 Express 0*j**2 - j**4 + 5*j**2 + 3*j**2 + 0*j**2 + 72 - 10*j**2 as c*j + y*j**4 + q + x*j**2 + l*j**3 and give x. -2 Rearrange -2*c**2 - c**3 - 2*c**4 + 14 + 15 + 15 to the form o*c**3 + i + m*c**4 + y*c**2 + v*c and give i. 44 Express -2*r - 39 + 108 - 2*r**4 + 2*r**3 + r**4 as w*r + g + c*r**2 + f*r**3 + v*r**4 and give f. 2 Express (-5912*b**2 - 31411*b - 31413*b + 62826*b)*(-3*b**2 - 3*b**2 + 5*b**2) in the form a*b**2 + h + y*b**4 + l*b + n*b**3 and give y. 5912 Rearrange (-2*i**2 + 0*i**2 + 5*i**2)*(-4 + 2 + 1) + (i - 5 + 5)*(-6*i - 7*i + 14*i) to l*i + g + f*i**2 and give f. -2 Express 2 - o + 3*o - o + 6*o in the form g*o + k and give k. 2 Rearrange -1521*v - 981*v + 3 - 5 + 2 to h*v + n and give h. -2502 Express 84*f + 115*f - 87*f in the form p*f + c and give p. 112 Rearrange (-z + 0*z + 0*z)*(1 - z**2 - 1) - 7226*z**2 + 7228*z**2 - 179*z - 48*z + 1 - 8*z**3 to the form h*z**3 + j*z**2 + m + k*z and give k. -227 Express 3 - 4 + 17870*p + 7*p**4 - 2*p**3 - 2*p**2 - 17872*p in the form u*p**3 + k*p**2 + c*p + w*p**4 + i and give w. 7 Rearrange 28*x**2 + 1 - 2 + 30*x**2 - 55*x**2 + x**3 + 6*x to h + p*x + z*x**2 + q*x**3 and give z. 3 Express 139*i - 156*i**4 - 68*i - 71*i + (-2*i**2 - i**2 + 4*i**2)*(3*i**2 + i**2 - i**2) in the form k*i + o*i**2 + a*i**3 + s + p*i**4 and give p. -153 Rearrange 0*h**4 + 7*h**2 + 284 + 32*h**2 + 2*h**4 - 38*h**2 to the form d*h + c*h**3 + l*h**2 + z + k*h**4 and give l. 1 Rearrange (1899 + 44*n - 1899)*(-2 + 2 - n) to d*n + r*n**2 + t and give r. -44 Rearrange 343*h - 677*h + 6*h**2 + 1 - 2*h**4 + 345*h + 2*h**3 to the form s + l*h**2 + p*h + n*h**3 + x*h**4 and give p. 11 Express 2*m**3 - 1 - 80*m**4 + 145*m**4 - 68*m**4 + m**2 - m as v*m**2 + l*m**4 + c*m**3 + o + u*m and give l. -3 Express (-1 + t**4 - t**4 - t**4)*(1471 - 3053 + 1492) in the form h + c*t + o*t**2 + f*t**3 + n*t**4 and give h. 90 Express ((2*s - 3*s + 3*s)*(2 + 1 - 1) + s + 3*s - 2*s)*(-45*s**2 - 64*s**2 + 16*s**2) as d + y*s**3 + u*s**2 + x*s and give y. -558 Rearrange (-14 - 8 + 16)*(9*t - 5*t + 9*t - 2*t - 2*t + 3*t - t + 3*t + 0*t + t - t - t + (5 + 0 - 3)*(-2*t - 3 + 3) - t + 6*t - 3*t) to r*t + x and give r. -66 Rearrange (-3*y + 3*y - 2*y)*(3 - 7 + 2)*(-172 - 371 + 154) to g*y + w and give g. -1556 Rearrange (39 + 58 - 117)*(19*z - 34*z - 64*z) to q*z + j and give q. 1580 Rearrange (2*d**2 - 4*d**2 + 3*d**2)*(5*d - 32*d + 28*d + 33*d**2) to g*d**3 + h*d + o + m*d**2 + w*d**4 and give o. 0 Express -93*p**3 + 4*p**2 - p**2 - 26 - 3*p**2 + 92*p**3 in the form r*p**3 + i*p + j + c*p**2 and give j. -26 Express (-4*u + 3*u - u)*(7 + 19 - 20)*(3 + 0 - 4)*(1 - 1 + 2*u**2) in the form w + v*u**3 + t*u**2 + d*u and give v. 24 Rearrange (-7*c**2 + 3*c**2 + 2*c**2)*(-2299 - 3624 - 305 + 1084) to r + f*c + k*c**2 and give k. 10288 Express (-8*v - 6*v + 4*v)*(-34*v + 3*v - 25*v) as a*v + i*v**2 + f and give f. 0 Express -18825 - 243*c + 18825 in the form d*c + r and give d. -243 Rearrange 2*d + 7 - 17 + 3 + 6 + 4*d**3 - 2*d**4 to a*d + p*d**3 + b*d**4 + k*d**2 + o and give o. -1 Rearrange (2 - 2 + 4*m)*(0 + 2*m + 0 + (-1 - 1 - 1)*(-15*m + 2*m - 6*m)) to d + z*m**2 + k*m and give z. 236 Express -196*w**3 - 9*w**3 + 25*w**3 + (-1 - w + 1)*(-w**2 + 4*w**2 - w**2) + w**3 + 3 - 3 + 4*w**3 + 13*w**3 + 8*w**3 as h*w**3 + b + j*w + f*w**2 and give h. -156 Rearrange (-1 - w**2 + 1)*((-27 - 171 - 144)*(4 - 5 - 1) + 0 - 3 + 5)*(w + 2*w - w) to the form m*w + c*w**2 + y*w**3 + s and give y. -1372 Rearrange (-7*z - 235*z**4 + 44*z**3 + 2 + 237*z**4 - 13*z**3)*(1 + 2 - 2) to c + b*z**3 + j*z**4 + t*z**2 + r*z and give c. 2 Rearrange 93 + 101 + 0 + 51699*u**3 - 51698*u**3 to the form x + n*u**2 + a*u**3 + h*u and give a. 1 Rearrange -14 + s**2 + 2628*s - 2626*s - s**3 - 12 to the form x*s**3 + b*s + f + o*s**2 and give x. -1 Rearrange 21336*o - 3*o**3 - 21336*o - 1 - 4*o**4 to the form v*o + r*o**4 + d*o**2 + p*o**3 + k and give k. -1 Express 15*l**2 + 3*l**2 - 2 + 9*l**2 + 14*l**2 + 58*l**2 in the form y*l**2 + d + t*l and give t. 0 Express 3872*z**2 - 120*z - 3872*z**2 + 2*z**3 in the form p*z**3 + d*z**2 + n + o*z and give o. -120 Rearrange (w + w - 6*w)*(0 + 2*w + 0)*(1 + 0*w - 2 + 2*w)*(73 - 61 + 28) + (-2*w - 3*w + 4*w)*(-2*w**2 + 0 + 0) to d + k*w**2 + g*w + l*w**3 and give g. 0 Express -15 + 7 - 2*d**3 + 9 - 2*d - 2*d**2 - 31 + d**4 + 0*d in the form v*d**4 + t*d**2 + w + y*d + m*d**3 and give m. -2 Express -3*s**3 - 4*s**4 - 1 + s**2 + 3*s**2 - s**2 + s**4 + 4*s**4 in the form f + c*s**4 + p*s**2 + h*s**3 + y*s and give p. 3 Express -10 - w**2 - w**3 - w**4 + 3*w**4 - 15 + 8 in the form n*w**4 + r*w**2 + v*w + i + k*w**3 and give i. -17 Rearrange -7*s**2 + 4*s**2 + s**2 - 24 + 7 - 9*s**3 to the form t*s**2 + z*s + f*s**3 + p and give p. -17 Express 4611 - 4611 + 227*d**2 in the form s*d**2 + u*d + x and give s. 227 Rearrange -67 + 35 + 32 + i - 3*i**2 + 22*i**3 to the form c*i**2 + u + o*i**3 + f*i and give o. 22 Express -14*b - 180*b + 7*b + 0*b as m + s*b and give s. -187 Rearrange (33*j**2 - 54*j - 46*j + 100*j)*(-1 - 3 + 9) to the form p + c*j + s*j**2 and give s. 165 Express (-197 + 14 - 456)*(-5 + 2 + 2*r + 1)*(-2*r + 6*r - 3*r) in the form n + o*r + u*r**2 and give o. 1278 Express (-6820*b + 308*b**3 + 6820*b)*(-2*b + 5 - 5) in the form g*b**2 + p + c*b**3 + s*b**4 + d*b and give s. -616 Rearrange -29*k + 100 - 22*k + 2*k**2 + 51*k to g*k + y + j*k**2 and give y. 100 Express (4*s - s + 0*s - 6 + 6 + 5*s + (-s - 9*s + 0*s)*(2 - 2 - 1) + (0 + 1 - 2)*(-s + 4*s - s))*(5 + 1 - 4) in the form v + l*s and give l. 32 Rearrange (4*m + 5920 - 5915 + 9*m)*(0*m**3 - m**3 + 0*m**3) to the form x*m**3 + w*m**4 + u*m + o*m**2 + g and give x. -5 Express (2*r + r - 4*r)*(-66 + 2837*r - 42 + 108) as z*r + g + f*r**2 and give f. -2837 Rearrange -g**2 - 10*g**3 + 17*g + 7*g**2 - 17*g to s*g**2 + h*g**3 + v*g + m and give v. 0 Rearrange 2*n**3 - 4458 + 29*n + 4456 - 9*n to o*n + r*n**2 + t + a*n**3 and give o. 20 Express 307*m + 0 - 2 + 2 - 1528*m in the form d*m + b and give d. -1221 Express -2*j**2 + j**2 + 3*j + 420*j**3 - 422*j**3 in the form f*j + i*j**2 + k*j**3 + p and give i. -1 Rearrange (9*q + 0*q - 6*q)*(-5*q + q + 2*q + (-4*q + 2*q + 5*q)*(12 - 10 + 9))*(-3 + 0 - 11) to the form d*q + c + z*q**2 and give z. -1302 Rearrange s**3 - 124 - 169*s + 383 - 132 + s**4 - 127 to the form q*s**4 + b*s**3 + m*s + h + k*s**2 and give m. -169 Express 246*g**2 - 462*g**2 - 431*g**2 + 4*g - 94*g**2 - 3*g + 2 in the form n*g + b + k*g**2 and give b. 2 Rearrange 0 + 5 - 3 - 1164*l - 2 to the form f*l + d and give f. -1164 Express (-15*l**2 + 3*l**2 + 4*l**2)*(-56*l + 5*l**2 + 59*l + 0*l**2) in the form g + o*l**3 + z*l**4 + p*l**2 + m*l and give p. 0 Rearrange (3*w - w**4 - 3*w)*(22 - 33 - 12) to the form p + q*w**4 + f*w + h*w**2 + y*w**3 and give q. 23 Express 4*f**4 + f**4 - 3*f**4 + (-2*f**2 + 3*f - 3*f)*(0*f + 4*f + 2*f)*(0 + 0 + 2*f) in the form g*f**3 + c*f**4 + u + o*f**2 + m*f and give c. -22 Rearrange 165*f**3 - 1 + 0 - 4 - 180*f**3 + f**2 to n*f + q*f**3 + p*f**2 + o and give q. -15 Express (-3*t + 4*t + 0*t)*(0 + t + 0) + 2*t**2 + 0 + 0 + (-2*t + 3*t + t)*(-3 + 4 - 2)*(33*t - 86*t - 33*t) as l*t + a*t**2 + u and give a. 175 Rearrange -3*f**2 + 5*f**2 + 0*f**2 + (-5 + 5 - 2*f)*(-7*f + 23*f - 12*f) + (-2*f - 5*f + 3*f)*(-4*f + f + 2*f) to h + i*f + d*f**2 and give d. -2 Express s**4 - 84*s + s**2 + 86*s - 5*s**2 - 6*s**2 + 1 as r*s**2 + d*s + g*s**3 + k + u*s**4 and give u. 1 Rearrange 106*w + 1337 - 1337 - 3*w + 3*w + w + (2 - 2 - 2*w)*(1 + 1 + 0) to l*w + o and give o. 0 Rearrange (15 + 1 - 1)*(-54*n**3 + 12*n**4 + 54*n**3) to a + c*n**2 + h*n**4 + z*n**3 + y*n and give h. 180 Rearrange (-6*t + 15*t + 20*t)*(-21 + 32 + 15) to c + q*t and give q. 754 Rearrange 11*t**2 + 29*t - 6 - 14*t - 15*t + 3*t**2 to c*t + a*t**2 + l and give a. 14 Express x + 17*x + 3*x**3 + 59*x in the form l + j*x**3 + d*x + n*x**2 and give j. 3 Express 953*k + 816*k - 79*k in the form w*k + j and give w. 1690
Simplify (((4*sqrt(350))/sqrt(10))/(sqrt(21)/(sqrt(6)/sqrt(2) + sqrt(3))))**2. 320 Simplify ((-3*(sqrt(252) + sqrt(252)*-2) + (sqrt(252) + -1)*-2)*-5)**2. 600*sqrt(7) + 6400 Simplify ((-2 + 1*-2*sqrt(1900))*-3 + 0)*-3. -180*sqrt(19) - 18 Simplify (sqrt(11) - (sqrt(891) + 4)) + (0 + sqrt(539))**2 + -4. -8*sqrt(11) + 531 Simplify (((-2*sqrt(24))/sqrt(3))/(sqrt(576) + sqrt(576)*2))**2. 1/162 Simplify -2*-4*(2*sqrt(162) - sqrt(162)) + (sqrt(162)*1 + -2 - (-2*sqrt(162)*-5)**2). -16202 + 81*sqrt(2) Simplify sqrt(22)/(-1*sqrt(2)*-1) + (sqrt(11) - (5 + sqrt(11) + (sqrt(176) - sqrt(11)))**2 - (0 + sqrt(99))**2) + -5. -305 - 38*sqrt(11) Simplify sqrt(650)/sqrt(2)*-6 + (sqrt(1573) - (sqrt(1573) + (sqrt(1573)*-1 - sqrt(1573)) + -5)). -8*sqrt(13) + 5 Simplify 6*(sqrt(242)*1*5 + 2*-2*sqrt(242))**2*-1 + 5. -1447 Simplify (-5*(3 + sqrt(125)) + -2*(sqrt(405)*-2 + sqrt(405)) + -4)**2. 266*sqrt(5) + 606 Simplify 3*((1*(sqrt(208) + -1))**2 + sqrt(208)) + 1 + -3. -12*sqrt(13) + 625 Simplify ((-2 + sqrt(2))*5 + sqrt(50)*-2)*-1*4. 20*sqrt(2) + 40 Simplify (-6*(1 + -3 + ((sqrt(243)*1 - sqrt(243))*-5 + sqrt(243) - sqrt(243) - sqrt(243)) + sqrt(243)*-2 + -3))**2. 9720*sqrt(3) + 79632 Simplify (-2*sqrt(84)*-3)/(3*sqrt(12)/sqrt(4)*-6). -2*sqrt(7)/3 Simplify 5*((sqrt(1900) + (sqrt(1900) - ((-2*(sqrt(1900) + 4 + sqrt(1900)))**2 - sqrt(1900))) - sqrt(1900)) + -3). -152335 - 3100*sqrt(19) Simplify (3*sqrt(180)*-1 - sqrt(180))/(sqrt(12)/(-3*sqrt(300))). 360*sqrt(5) Simplify 1*-2*((sqrt(28)*5)**2 - (sqrt(252)*2 - sqrt(7))). -1400 + 22*sqrt(7) Simplify (1 + (-5*sqrt(44)/sqrt(4) - sqrt(11)))**2 - ((sqrt(33)/sqrt(3))**2*-4 + -4). -12*sqrt(11) + 445 Simplify (5*-2*sqrt(351))/(sqrt(147) + (sqrt(147) - (-2*sqrt(147) - sqrt(147)))*-1 + sqrt(147) - sqrt(147)). 10*sqrt(13)/7 Simplify 4*(sqrt(22)/(sqrt(8)/sqrt(4)) - (sqrt(88) + -2*sqrt(88) + sqrt(88) + sqrt(88))/sqrt(8)) + 2. 2 Simplify (sqrt(76) - -6*-1*sqrt(76)) + sqrt(304) + -1 + 1 + 1. -6*sqrt(19) + 1 Simplify ((-1 + sqrt(75))*2)**2 + -1 + (sqrt(300) + (sqrt(300) + 1 - sqrt(300) - sqrt(300) - sqrt(300)) + -5)**2 + -1. 40*sqrt(3) + 618 Simplify 3*((sqrt(85)/(sqrt(5) - (sqrt(5) - (sqrt(40)*3)/sqrt(8))))**2 - ((-1*-2*sqrt(102))/sqrt(6))**2). -595/3 Simplify (sqrt(2268)*2 + 4)**2 + (6*(sqrt(112)*-1 + sqrt(112) + -3))**2. 288*sqrt(7) + 9412 Simplify (3 + (3 + 1*(-1 + sqrt(300)))*2*4)**2. 3040*sqrt(3) + 19561 Simplify (-3*1*sqrt(117)*-2)/(sqrt(441)*-2*-3). sqrt(13)/7 Simplify ((sqrt(342)*-5)/(sqrt(50)*-5))**2. 171/25 Simplify (sqrt(65) + (sqrt(65) - 5*sqrt(65)*1) + sqrt(65) + sqrt(65) + 2*2*sqrt(65) + sqrt(65))/((sqrt(180) - sqrt(180)*-3)*1). sqrt(13)/6 Simplify (sqrt(11) - (sqrt(88)*-2)/sqrt(8)) + (2 + sqrt(275))**2 - ((sqrt(66)*-3)/sqrt(6) - sqrt(66)/(-2*sqrt(6) - sqrt(6))). 77*sqrt(11)/3 + 279 Simplify (sqrt(96)/sqrt(6))/(sqrt(18)*-3). -2*sqrt(2)/9 Simplify -3 + (-2 + sqrt(6300))**2 - ((1 + sqrt(6300) - sqrt(6300)) + -2)**2. -120*sqrt(7) + 6300 Simplify (-1*(sqrt(187) + 1*sqrt(187) + sqrt(187)))/(sqrt(121)/(4*sqrt(11))). -12*sqrt(17) Simplify ((sqrt(180) - (3*sqrt(180)*-2 + sqrt(180)))/sqrt(10))/(sqrt(1296)*2*-1). -sqrt(2)/4 Simplify (sqrt(175) - (sqrt(175) - (sqrt(175) + 6*(sqrt(175) - -2*sqrt(175))))**2 - (sqrt(175) - (-1 + (sqrt(175)*1 - sqrt(175))))) + -1. -56702 Simplify (1*(sqrt(190) - (sqrt(190) + sqrt(190) + -2*sqrt(190)))*-5)/((sqrt(1440) - (sqrt(1440) + sqrt(1440)*-1*-5 - sqrt(1440))) + sqrt(1440)). 5*sqrt(19)/36 Simplify (-5*sqrt(99) + -2 - ((sqrt(110)*-2)/sqrt(10) - (-3 + sqrt(11) + 1)))**2. 96*sqrt(11) + 1600 Simplify (-1*((sqrt(209) - sqrt(209)*1) + sqrt(209)) + 5*(2*sqrt(209) + sqrt(209)))/(-1*sqrt(22)/(sqrt(2) - (sqrt(2)*-2 + sqrt(2)))). -28*sqrt(19) Simplify sqrt(6)/(sqrt(4)/sqrt(2))*5 - ((-1*sqrt(18))/sqrt(6) + -5 + sqrt(9)/sqrt(3)). 5 + 5*sqrt(3) Simplify 3 + (sqrt(325) - (1 + sqrt(325)*-2))**2 + -5. -30*sqrt(13) + 2924 Simplify ((sqrt(847) + -1)**2 + sqrt(343) + -3)*2. -30*sqrt(7) + 1690 Simplify ((sqrt(408) - (sqrt(408) + sqrt(408)*1 - sqrt(408)))/sqrt(12))/sqrt(2) + (4 + -3 + sqrt(1377))**2. 18*sqrt(17) + 1378 Simplify -5 + sqrt(14)/(-6*sqrt(28)) + 5. -sqrt(2)/12 Simplify ((-5*(sqrt(1088)*2 - sqrt(1088))**2 - sqrt(1088)) + (sqrt(1088) + 1)*-3)*3*-3. 288*sqrt(17) + 48987 Simplify (-3 + 3 + (5 + sqrt(1452)*2 - (sqrt(1452) + 0 + sqrt(1452))*1))**2. 25 Simplify sqrt(175) + (4 + sqrt(175) + 2)**2 + (-1 + sqrt(175) + -1)**2 + -5. 45*sqrt(7) + 385 Simplify -2*((sqrt(2448) + -5*(2 + sqrt(2448)))**2 + ((-4*sqrt(102))/sqrt(6) + sqrt(17))*-6). -78536 - 1956*sqrt(17) Simplify ((sqrt(77) - 2*sqrt(77))*3 + sqrt(77) - -2*sqrt(77)*3)/(sqrt(7) - sqrt(28)/(sqrt(16)/sqrt(4)) - (sqrt(7) + (sqrt(105)/sqrt(3))/sqrt(5))). -2*sqrt(11) Simplify ((sqrt(360)*5)/sqrt(6))/sqrt(12) + -4 + -4. -8 + 5*sqrt(5) Simplify -2 + -3*sqrt(18)/sqrt(6)*-3 + 3. 1 + 9*sqrt(3) Simplify (1 + 2 + 6*(sqrt(468) + -1))**2. -216*sqrt(13) + 16857 Simplify ((-4*sqrt(7)*2*3 + 3*sqrt(28)/sqrt(4)*2)*-5)**2. 56700 Simplify ((sqrt(68) + -1 + 4 - (sqrt(68) + 1*(-1 + sqrt(68)) + sqrt(68) + sqrt(68))) + 3)**2*1. -84*sqrt(17) + 661 Simplify (-6*-5*sqrt(170))/sqrt(10) - (sqrt(833)*2)**2*3. -9996 + 30*sqrt(17) Simplify ((sqrt(76) - -3*sqrt(76)*-2) + 3*(sqrt(76) + -1))**2 + (sqrt(76) + -2 + sqrt(76) + -5)*-5. 4*sqrt(19) + 348 Simplify 3 + ((-4 + -2*sqrt(2))**2 - (sqrt(6)/(sqrt(27) - sqrt(3)))**2). 16*sqrt(2) + 53/2 Simplify (2*sqrt(80))/(sqrt(16)/(sqrt(12)/sqrt(3) + sqrt(4))). 8*sqrt(5) Simplify 1*(sqrt(5)*1)**2 - (sqrt(10)/sqrt(2)*4)**2 - -1*(-1 + sqrt(5))*-3. -72 - 3*sqrt(5) Simplify 0 + -2 + -4 + -1*sqrt(405) + -2. -9*sqrt(5) - 8 Simplify (((sqrt(5600) + -1*sqrt(5600))/sqrt(7))/((sqrt(576) + (sqrt(576) - (sqrt(576) - (sqrt(576)*2 - sqrt(576))) - sqrt(576)) + sqrt(576))*-1))**2. 0 Simplify (3 + -2 + (1 + 1*sqrt(931) - 1*-1*sqrt(931)))**2. 56*sqrt(19) + 3728 Simplify (sqrt(25) + (-1*sqrt(125))/sqrt(5))/(6*sqrt(45)). 0 Simplify 2*sqrt(68) + sqrt(153)*5 - ((sqrt(1377) - (sqrt(1377) + 1))**2*2 - (sqrt(1377) + ((sqrt(1377) + -1)*4)**2)). -260*sqrt(17) + 22046 Simplify (5*3*sqrt(18)*-1)/((2*sqrt(324) - sqrt(324))*-2). 5*sqrt(2)/4 Simplify (2*(sqrt(10) - sqrt(250) - sqrt(10)))/(sqrt(5) - -6*sqrt(20)) + 3. -10*sqrt(2)/13 + 3 Simplify sqrt(76)/(sqrt(256) - (sqrt(256)*3 + sqrt(256))) + -1*(sqrt(19) - ((2*sqrt(19))**2 + 1)). -25*sqrt(19)/24 + 77 Simplify (sqrt(475) - sqrt(475)*-1)*-6 - (-2*sqrt(475)*-4)**2. -30400 - 60*sqrt(19) Simplify 1*(2 + (0 + sqrt(192) + sqrt(192))**2 - sqrt(192)) - (sqrt(27) + (sqrt(27) - sqrt(297)/(sqrt(22)/sqrt(2))))/(2*sqrt(18)/sqrt(2)). -17*sqrt(3)/2 + 770 Simplify 1 + (-4 + (sqrt(325) - (sqrt(325) - (2*sqrt(325)*1 + sqrt(325)))))**2. -120*sqrt(13) + 2942 Simplify -1*((sqrt(612) - (sqrt(612) + 0)*3) + (sqrt(612) + 0 + sqrt(612) + sqrt(612) - sqrt(612)) + 5)**2. -25 Simplify -6*((sqrt(275) + 3 + 0 + sqrt(275) - sqrt(275)) + (-3 + (sqrt(275) + 1 - sqrt(275)))**2 - (2 + sqrt(275) + -5*1*sqrt(275) + sqrt(275))). -120*sqrt(11) - 30 Simplify (sqrt(275)*-1 + -4 - ((sqrt(66)*-2)/sqrt(6) + -5))**2. -6*sqrt(11) + 100 Simplify ((sqrt(117) - (sqrt(117) + -2)) + sqrt(13) + (-3*sqrt(143) + sqrt(143))/sqrt(11))**2*6 + -1. -24*sqrt(13) + 101 Simplify (6*((4 + sqrt(162) + -1 + sqrt(162) - sqrt(162)) + (sqrt(162) + 0)*1)*5*-1)**2. 97200*sqrt(2) + 591300 Simplify ((sqrt(5) - (-4 + sqrt(5) + -3)) + 4 + (3*sqrt(70)/sqrt(2))/sqrt(7))**2. 66*sqrt(5) + 166 Simplify (-5*(-3 + sqrt(2)))**2 + -4 + (sqrt(242) + 0 + -3 + sqrt(242))**2. -282*sqrt(2) + 1248 Simplify ((sqrt(847) + -2)*1*5)**2*2. -2200*sqrt(7) + 42550 Simplify 5 + -4*(sqrt(343) - (sqrt(343) - (sqrt(343) + (sqrt(343) + 1 - sqrt(343))**2 + sqrt(343) + -5))). -56*sqrt(7) + 21 Simplify 3*(-3 + (-2*sqrt(14)/sqrt(2))**2 + -2 + 5). 84 Simplify (sqrt(11) + 2*sqrt(11)*-5 + sqrt(121)/(sqrt(11)*5))*-2. 88*sqrt(11)/5 Simplify -6*(-2 + ((-1*sqrt(704))**2 - sqrt(704)) - (-1*sqrt(704) + -4)). -4236 Simplify (5 + 2*sqrt(1377)*1 + -1*(2 + sqrt(1377)) + 4)**2. 126*sqrt(17) + 1426 Simplify (4*-1*sqrt(84)*-3)/(-5*(sqrt(120) + sqrt(120)*-2)/sqrt(10)). 12*sqrt(7)/5 Simplify (2 + -3 + ((sqrt(144)*3)/sqrt(6) + sqrt(24))/sqrt(12) + 0)**2. -8*sqrt(2) + 33 Simplify ((sqrt(133)/(sqrt(42)/sqrt(6)))**2 + 2*sqrt(931) + sqrt(931))*-3. -63*sqrt(19) - 57 Simplify (-1 + (-1 + sqrt(243))**2 - (3 + 4 + sqrt(243))) + -4. -27*sqrt(3) + 232 Simplify (-3*(3 + sqrt(112) + -1 + -1 + 5))**2. 432*sqrt(7) + 1332 Simplify 1*4*((sqrt(1300) - (sqrt(1300)*-2 + 5))**2 - sqrt(1300))*3. -3720*sqrt(13) + 140700 Simplify -2*(sqrt(3087)*-5)/(sqrt(144)*4). 35*sqrt(7)/8
Calculate the greatest common divisor of 136 and 833. 17 What is the greatest common factor of 678 and 47121? 339 Calculate the greatest common divisor of 5472036 and 243. 81 What is the greatest common divisor of 45 and 388971? 9 What is the highest common factor of 1845 and 7438425? 615 What is the greatest common factor of 2322 and 873? 9 What is the highest common divisor of 378267 and 153? 51 Calculate the highest common divisor of 1235 and 7239. 19 What is the greatest common divisor of 2990 and 46735? 65 What is the highest common factor of 1 and 40639? 1 Calculate the highest common divisor of 2811955 and 710. 355 What is the highest common divisor of 696668 and 695? 139 What is the greatest common factor of 518951 and 79? 79 Calculate the highest common divisor of 9751848 and 24. 24 What is the greatest common divisor of 18817 and 23673? 607 Calculate the greatest common divisor of 29289 and 702. 39 What is the highest common factor of 1404 and 715? 13 What is the greatest common divisor of 45332 and 56? 28 What is the highest common divisor of 38788 and 4? 4 What is the highest common divisor of 1680 and 241440? 240 Calculate the greatest common factor of 12676 and 8. 4 What is the greatest common factor of 1512 and 4347? 189 Calculate the greatest common factor of 2 and 14255. 1 Calculate the greatest common divisor of 350192 and 30960. 688 What is the greatest common factor of 14893377 and 51? 51 What is the highest common divisor of 438008 and 8? 8 Calculate the greatest common factor of 544997 and 145. 29 What is the highest common divisor of 327 and 22999? 109 What is the highest common divisor of 18440 and 1080? 40 Calculate the greatest common divisor of 4321 and 26075. 149 Calculate the highest common divisor of 2162 and 53866. 46 Calculate the greatest common factor of 1082931 and 6. 3 Calculate the greatest common divisor of 15215 and 3. 1 Calculate the highest common factor of 4464 and 261702. 558 Calculate the highest common factor of 230 and 2043665. 115 What is the highest common factor of 3335 and 14065? 145 Calculate the highest common factor of 3311 and 539. 77 What is the greatest common divisor of 11 and 9427? 11 Calculate the highest common factor of 64344 and 4844. 28 What is the greatest common divisor of 326 and 9617? 163 What is the greatest common factor of 48180 and 126940? 220 What is the greatest common factor of 2668472 and 604? 604 Calculate the greatest common factor of 152763 and 325. 13 What is the highest common divisor of 230 and 428490? 230 What is the highest common divisor of 378 and 20853? 63 What is the greatest common factor of 25 and 236425? 25 Calculate the highest common divisor of 4928 and 12. 4 Calculate the highest common factor of 10 and 52165. 5 What is the highest common factor of 157722 and 6? 6 Calculate the highest common factor of 53 and 27136. 53 What is the highest common factor of 5605 and 6372? 59 What is the greatest common factor of 840 and 45500? 140 Calculate the greatest common divisor of 20 and 2515. 5 What is the greatest common divisor of 171270 and 594? 198 What is the highest common divisor of 1097375 and 400? 25 Calculate the highest common factor of 278289 and 594. 297 Calculate the highest common factor of 25 and 222175. 25 What is the greatest common factor of 3081 and 336856? 1027 Calculate the highest common divisor of 2024 and 16280. 88 Calculate the greatest common factor of 1673 and 165866. 239 What is the greatest common factor of 3614 and 13483? 139 What is the highest common divisor of 1318704 and 747? 249 Calculate the highest common divisor of 3087 and 100989. 441 What is the highest common factor of 131754 and 6? 6 Calculate the greatest common factor of 33 and 606. 3 Calculate the greatest common divisor of 114790 and 52. 26 What is the greatest common factor of 915068 and 176? 44 What is the highest common divisor of 127856 and 8122? 262 What is the highest common divisor of 10469 and 3625? 29 Calculate the highest common factor of 369416 and 976. 488 What is the highest common factor of 4991 and 1519? 217 Calculate the greatest common factor of 4311 and 27782. 479 Calculate the greatest common factor of 233 and 15378. 233 Calculate the greatest common divisor of 1827 and 8493723. 1827 What is the greatest common divisor of 5 and 17699? 1 What is the greatest common divisor of 429 and 11791? 13 What is the greatest common divisor of 28528 and 2? 2 What is the greatest common divisor of 951723 and 54? 27 Calculate the highest common divisor of 507510 and 9. 9 What is the highest common divisor of 262720 and 400? 80 Calculate the greatest common divisor of 220720 and 372. 124 Calculate the highest common divisor of 20383 and 34. 17 What is the greatest common divisor of 688 and 28036? 172 Calculate the greatest common divisor of 2480 and 19060. 20 Calculate the highest common factor of 1659 and 4179. 21 What is the greatest common factor of 144 and 977904? 144 What is the greatest common factor of 153 and 559827? 153 Calculate the highest common factor of 662342 and 2. 2 Calculate the greatest common factor of 14 and 466. 2 What is the greatest common divisor of 2782 and 749? 107 Calculate the greatest common factor of 1001 and 777634. 143 What is the greatest common factor of 79 and 470682? 79 What is the greatest common factor of 482855 and 10? 5 Calculate the greatest common factor of 108 and 596. 4 Calculate the greatest common factor of 26 and 286728. 26 What is the highest common divisor of 5428 and 6992? 92 What is the highest common divisor of 14520 and 5885? 55 Calculate the highest common divisor of 206883 and 15. 3 Calculate the highest common divisor of 74 and 50394. 74 Calculate the greatest common divisor of 2490 and 74202. 498 What is the highest common divisor of 75 and 65085? 15 What is the highest common factor of 81435 and 270? 15 Calculate the greatest common divisor of 8746475 and 445. 445 What is the highest common divisor of 160 and 17196? 4 Calculate the greatest common divisor of 271 and 73. 1 Calculate the highest common divisor of 94 and 36002. 94 Calculate the greatest common divisor of 671191 and 211. 211 Calculate the highest common factor of 2982 and 5205578. 994 Calculate the greatest common divisor of 1744 and 432. 16 Calculate the highest common factor of 13 and 567489. 13 What is the highest common divisor of 11722 and 4? 2 What is the highest common divisor of 47 and 9071? 47 Calculate the greatest common factor of 391135 and 6165. 685 What is the highest common factor of 19497 and 5723? 97 Calculate the greatest common divisor of 110763 and 9. 9 What is the greatest common factor of 430 and 11137? 43 Calculate the greatest common factor of 19776 and 7107. 309 What is the greatest common divisor of 4537 and 18317? 13 Calculate the highest common factor of 312 and 35698. 26 What is the highest common divisor of 104 and 12298? 26 Calculate the highest common divisor of 239 and 10556869. 239 Calculate the highest common divisor of 627 and 371868. 57 Calculate the greatest common factor of 90024 and 3. 3 Calculate the highest common divisor of 88851 and 21. 21 What is the highest common factor of 138 and 443202? 6 What is the greatest common factor of 13648 and 496? 16 Calculate the highest common divisor of 1316 and 4606. 658 Calculate the highest common factor of 5560967 and 137. 137 Calculate the greatest common factor of 53 and 34927. 53 Calculate the highest common factor of 69093 and 1053. 81 Calculate the highest common divisor of 54 and 4142. 2 What is the highest common factor of 611 and 762199? 47 Calculate the greatest common factor of 568 and 216. 8 Calculate the highest common factor of 64482 and 2112. 66 What is the highest common divisor of 15915504 and 86? 86 Calculate the highest common factor of 3029 and 559. 13 Calculate the highest common factor of 1164 and 90404. 388 Calculate the greatest common divisor of 143 and 259350. 13 What is the greatest common factor of 325710 and 490? 70 What is the highest common factor of 3922217 and 292? 73 What is the greatest common factor of 361 and 3154? 19 What is the highest common factor of 140 and 20380? 20 Calculate the highest common divisor of 8632 and 128. 8 What is the greatest common factor of 324 and 219456? 108 Calculate the highest common divisor of 414 and 102. 6 Calculate the greatest common factor of 800 and 32. 32 Calculate the greatest common divisor of 94569 and 493. 29 What is the greatest common factor of 159 and 189793? 53 What is the greatest common factor of 104 and 2561? 13
Simplify ((a**(-1/2)*a)**(2/43))**(-2)/((a*a**0)**18)**(-1/28) assuming a is positive. a**(359/602) Simplify ((l*l**(1/4))**18*l/l**3*(l/(l/((l*l*l**(-5))/l*l*l)))/l*l)/((l**(-1/2)*l/l**(-3))/(l*l**(-1/3))**(-6)) assuming l is positive. l**11 Simplify ((z/((z/(z*z**(-13)*z))/z)*z**(6/7))**(1/5))**(-8/5) assuming z is positive. z**(512/175) Simplify (f**(2/59)/f)**(6/7)/(f*f**(-8/5))**(-27) assuming f is positive. f**(-35163/2065) Simplify ((d/d**(-2/5))/(d*d/(d**8*d))*(d/(d/(d*d**8)))/d**(-1/6))/(((d**(7/2)*d)/d**5)/(d/d**(-6)*d*((d/d**(-2/11))/d)/d)) assuming d is positive. d**(4166/165) Simplify ((g**(-2/15)*g**(2/9))/(g**8/g**(-1/7)))**43 assuming g is positive. g**(-109091/315) Simplify ((t**5/(t/(t**(3/10)*t)))/(t**(1/2)/t)**(-11))**49 assuming t is positive. t**(-49/5) Simplify ((z/z**6*z)/(z/z**(-3))*z/((z*z**(-3/8))/z*z)*z*z**(3/4))/((z**(-1/5))**(-7/3)*(z**(-2/11)*z)/(z/(z**(-3)*z*z))) assuming z is positive. z**(-6811/1320) Simplify (l**(8/7)*l**8/l*l)**(24/7)/((l*l**(1/3)/l)**(1/6)/(l**(2/7))**(2/11)) assuming l is positive. l**(304093/9702) Simplify ((((z/(z*z*z*z**(-2/27)))/z**(-1/8))**(-24))**(-15))**(5/6) assuming z is positive. z**(-9725/18) Simplify (m**6*m*m**4)/(m*m*m/m**(6/11)*(m**(-2/17)/m)/m)*(m/((m*m**(-6)/m)/m)*m*m*m**(2/7)/m*m)/((m**6/m)/m*m/(m**(1/3)/m)*m) assuming m is positive. m**(56086/3927) Simplify (((z*z**(1/4)*z)**23*z/(z/(z/z**(1/12)))*z**5)**(8/5))**(-10) assuming z is positive. z**(-2768/3) Simplify ((q*q**(-2))**39)**(7/11)*(q/q**(1/7)*q/(q**(1/3)*q))/(((q*q*q*q**(1/2)/q*q)/q)/(((q/(q*q*q*q*q**(-7)*q*q*q))/q)/q)) assuming q is positive. q**(-12841/462) Simplify ((t**(-3/4)*t*t**(1/8)*t)/(t*t**(1/3)/t)**10)/((t/(t*t**0)*t)**(30/13)/((t**(-2/11)/t)/t*t**(1/6))) assuming t is positive. t**(-21557/3432) Simplify (((l/(l/l**6))/l*l**(-2))/(l*l/(l*l/((l**(2/5)/l)/l)))**(-36))/((l/l**(-2/3))**29*l**(-2/13)/l*l*l**(1/5)/l) assuming l is positive. l**(-19886/195) Simplify ((p/(p*p*p*p**0*p*p))**(2/15)/((p**1*p)/p*p/(p*p**(1/5)*p*p)))/((p**(2/7))**(2/45)*(p**0)**(28/3)) assuming p is positive. p**(206/315) Simplify ((k**3*k**(-1))/(k**6/((k**(1/3)*k)/k)))/((k*k**(-2/13))/(k*k**(-1/6))*(k/(k/((k**6/k)/k)))/(k/(k**(-1/4)/k))) assuming k is positive. k**(-847/156) Simplify (((w/w**(-1))**(-22)*(w**4/w)**(-38))**(-28))**22 assuming w is positive. w**97328 Simplify ((l**(-1/11)*l)/l**(2/9))**(-14)/((l**(-1/4))**(-7/3))**(2/63) assuming l is positive. l**(-5723/594) Simplify (((l**(-9)/(l*(l*(l**(6/5)/l*l)/l*l*l*l)/l))**(-36))**(-34))**(-40) assuming l is positive. l**646272 Simplify (((b**(-2/9)*b**2)**(3/16))**(-7))**39 assuming b is positive. b**(-91) Simplify ((u/u**(-5/3)*u*u**(-3))/(u**(-1/2))**(-34))/((u**(2/9))**(-3/14))**(-25) assuming u is positive. u**(-368/21) Simplify (((f**19*f/(f*f**(1/9)))**(-34))**(-4/9))**(-39) assuming f is positive. f**(-300560/27) Simplify (h**0/(h/(h*(h**4*h*h)/h))*(h*h**(-1/5)*h*h)/h**(1/8))/((h**(-2)/h)/h**(1/6)*(h**(2/3))**(-5)) assuming h is positive. h**(567/40) Simplify (((y*y/y**(-3/4))/(y**(4/3)/y*y))/(y**(1/10)/y**(-3/7)))**(-3/5) assuming y is positive. y**(-373/700) Simplify (((f*f*f**(-1))/f*f*f/f**3*f)/((f**(2/5)*f)/f**6))/(((f*(f/(f**(-2/15)/f))/f)/f)/f*f**(-4)*f/(f*f**(-2/7))*f**5) assuming f is positive. f**(334/105) Simplify (k*k*(k*k**(5/7))/k)**(-5/8)*(k/k**(18/5))**(-14/5) assuming k is positive. k**(7817/1400) Simplify n**(-15)*n**(-1/18)*n*n**(-5)*n/(((n/(n**(-14/3)*n))/n)/n) assuming n is positive. n**(-373/18) Simplify (((f/f**(-19)*f**(2/21))**(-15/2))**(-44))**48 assuming f is positive. f**(2228160/7) Simplify ((d**5)**27*(d**(-4/3))**(-2/51))**(-3/46) assuming d is positive. d**(-20663/2346) Simplify (g*g**39*g*g)/(g**28/g)*g/(g/((g**10*g)/g)*g)*g*g/(g*(g*g**(-2/79))/g) assuming g is positive. g**(1977/79) Simplify ((m**(-2/5))**(-46))**(2/39)/(((m/m**3)/m**(1/2))/(m**(-4)*m*m**(-2/11))) assuming m is positive. m**(1123/4290) Simplify (c**(10/9)/(c**(-13)*c)*c**(2/19)*c**(14/3))**(2/21) assuming c is positive. c**(6116/3591) Simplify ((o**(2/9)/((o*o**(-8/7))/o))/((o/(o*(o/(o*o/(o*o*o*o**(-4))))/o))/o**(-2/7)))/(o**(-1/16)*o*o**(2/25)/o)**(1/31) assuming o is positive. o**(-1500841/781200) Simplify ((h*h**4/h)/(h**6/h))/(h*h/(h/h**(-1/6))*h/(h*h**(1/2)))*((((h**(-1)*h)/h)/h)/(h*h**(-1/9)))**41 assuming h is positive. h**(-1078/9) Simplify ((d*(d*d/d**7*d)/d*d)**(-37)*(d**(4/5)/d*d)**(22/5))**(5/3) assuming d is positive. d**(2863/15) Simplify ((q**(3/4)/(q*q**(-3)))/(q/q**(-1/3)*q/(q/(q/(q/(q**(2/7)*q))))))/((q*q*((q**(-1)/q)/q)/q)**35)**(-17) assuming q is positive. q**(-99949/84) Simplify (((z*z/(z/(z**6/z))*z*z**12)**20)**(3/8))**(-7/8) assuming z is positive. z**(-1995/16) Simplify ((x**2/x)**(-11)/(x/x**(-7)*x**(3/4)))/(((x**(-2/5)/x)/x*x**(3/5)/x)/(x**(1/5)*x**(2/5))) assuming x is positive. x**(-327/20) Simplify ((((i/(((((i**(-6)*i*i*i)/i)/i)/i)/i))/i)/(i**17/i))/(i**(-18)/(i**(-17)/i*i)))**32 assuming i is positive. i**(-256) Simplify ((j*j**14*j)**27*j**10*j*j**(3/28)*j*j)**(2/11) assuming j is positive. j**(1133/14) Simplify ((l/l**(2/5)*l)**(-10/9))**(27/4)/(l**0/(l/l**(-4)*l)*(l**(1/3))**(2/21)) assuming l is positive. l**(-380/63) Simplify (s*s**7)/(s**(1/8)*s)*(s**4*s)/s**(1/3)*(s**(2/9))**29*s**(-7)*s*s**(-2/11)*s*s assuming s is positive. s**(10933/792) Simplify (k**(3/13)*k/(k*k*k**(-35)*k)*(((k/(k/((k/k**(-4))/k)*k)*k)/k)/k)**(13/6))**(1/5) assuming k is positive. k**(293/39) Simplify ((d/(d/d**(-1)))/d**(2/5))**32*((d**(2/7)/d)/d**7)**(-1/21) assuming d is positive. d**(-10886/245) Simplify (k/k**(2/9)*k/((k*k**(-1/6)/k)/k))/(k**(-1/2))**(-21)*k**6*k**0*k*k**(-2)/k*k**(-1/5) assuming k is positive. k**(-169/45) Simplify (((f**(-1/3))**(2/5)*(f**3*f)**50)**(6/7))**9 assuming f is positive. f**(53964/35) Simplify (((t/(t**3*t))/t*t)/t*t*t**(-1/14)/t)/(t**(1/6)/t**8)*((t**(-3/7)*t)/t*t/(t**(-11)/t))**(-7/8) assuming t is positive. t**(-152/21) Simplify ((p**(1/39)*p)/(p*((p*p*p*p/(p/(p**(-30)*p)*p))/p)/p*p*p)*p*p/((p*p*p**(-43)*p)/p)*p/((p/(p/(p/(p/p**(-9/5))*p)))/p))**(-25) assuming p is positive. p**(-71005/39) Simplify ((f**(1/22)*f*(f/((f/(f/(f*f**10*f*f)))/f))/f)/((f/((f/(f*f**(1/2)*f))/f*f))/f*f**0))**(2/109) assuming f is positive. f**(-274/1199) Simplify ((t**(-16)/(t**22*t))/(t**(2/35)/t**(1/13)))**(-7) assuming t is positive. t**(17736/65) Simplify ((y**(-2/17)*y*y)/y*y/(y*y*(y/y**(1/11)*y)/y))**(-28/9)*(y*y**(-1/2))**(9/8)*(y**(-2/3))**(15/2) assuming y is positive. y**(-11159/8976) Simplify (n**(-2/11)*n*(n*n**2)/n*(n*n**(-1))/n*n**(-4))/((n**(-1/4))**12/(n**(1/5)*n*n**(-5))) assuming n is positive. n**(-164/55) Simplify ((((d/((d/((d*(d/d**(-7/9))/d)/d))/d))/d)/d)/d*d**(2/17)*d*d**1*d/(d/(d*(d*d**(2/3))/d*d)))**(15/4) assuming d is positive. d**(2725/204) Simplify (r**2)**(-41)/(r*(r/r**(1/4))/r*r*r**(-5/3))*((r*r**(2/9))/r*r**0)/((r*(r*r**0/r)/r)/(r/((r**4/r)/r*r))) assuming r is positive. r**(-3019/36) Simplify ((o**0*o)**(-4)/(o**3*o*o**(-1/15)))**3 assuming o is positive. o**(-119/5) Simplify ((h**(-9)/(h/(h/h**(-2/7))))/(h/h**(-5/6)*h*h**11))**(5/12) assuming h is positive. h**(-4735/504) Simplify (g/(g*g/g**7)*g*g*g/((g*g**8)/g)*g*g*g)**(-46)*((g**(1/2)/g)/g)**(5/9)/((g*g/(g/(g*g**(-2/9))*g))/g)**(-1) assuming g is positive. g**(-3331/18) Simplify (o**(-4)*o**(4/7))**(-3/2)/((o**(2/7))**(2/13))**38 assuming o is positive. o**(316/91) Simplify ((p**11/(p**(3/7)*p*p))/(((p/((p**(-11/6)/p)/p*p))/p)/(p/(p/(p**7/p)))))**(-39) assuming p is positive. p**(-6409/14) Simplify ((p/(p*(p*p**(-2/37))/p))/((p*(p/p**(-23/5)*p)/p)/p*p)*(p/(p/(p*p**(-2/5))))/(p*p/(p/((p*p*p*p**(1/33)*p)/p)*p*p)))**(10/3) assuming p is positive. p**(-97390/3663) Simplify (i*i**0/i)**22/(i/(i*(i**6/i)/i*i)*(i/i**(3/2))/i)*(i**(-3)*i**(-1/11))/((i/i**(2/3))/(i*i**(-4))) assuming i is positive. i**(5/66) Simplify ((v**1/v)**(-11/6)/((v/v**(1/2))/((v**(-2)*v)/v)))/(v**(-12)*((v/(v**(-7)*v)*v)/v)/v)**(10/11) assuming v is positive. v**(65/22) Simplify ((t**(-10)/t)/t**6)**(2/19)*(t*t**4*t**8)**(3/31) assuming t is positive. t**(-313/589) Simplify (((d*d**1)/d*d)/(d**(4/7)*d))**(-2/3)*(d*d*d**6*d*d**(-3)*d*d)/(d**(2/19)*d**(-1/12)/d) assuming d is positive. d**(13873/1596) Simplify (n**(1/3))**(1/15)/(n*(n*n*n/n**(2/3))/n)**(-20)*(n**(-1))**(-12)*((n/(n*n**(2/7)*n))/n)**(-3/43) assuming n is positive. n**(797101/13545) Simplify (o**(-5)/o**(-2/7)*(o/o**1*o)/o*o*o**7/o)/(o**(-5)*o*o**6*o*o*o/(o*o**(-1))*o*o/((o/(o*o**5/o))/o*o)) assuming o is positive. o**(-61/7)
Solve 0*s + 4*j = -s - 21, 0 = -3*s - 2*j - 23 for s. -5 Solve 2*c + 56 = 5*x + 55, c = -x - 4 for x. -1 Solve 4*q + 14 = 2*v, 0 = -0*v - 4*v - 3*q - 5 for v. 1 Solve -t + 0*t - 2*q = -14, -3*q + 35 = 5*t for t. 4 Solve 2*x + 5*r = 10, -5*x + 4*r = -10*x + 25 for x. 5 Solve 0 = -5*z + 2*q - 33, 0 = 2*z + q + 127 - 121 for z. -5 Solve 4*x = 3*r + 7*x + 6, -2*x = -5*r - 3 for r. -1 Solve -2*u + u - 24 = 5*w, 5*u + w + 24 = 0 for u. -4 Solve 3*m + 25 = 3*q + 7, 3*m + 20 = 5*q for m. -5 Solve -20 = -0*s + 2*s + 2*v, 5 = -2*s + v for s. -5 Solve 7*o + 3*v + 36 = 0, 0 = -2*v - 2 - 8 for o. -3 Solve -o - 2*s - 6 = 0, 3*o + o + 12 = 4*s for o. -4 Solve 4*z - 36 + 15 = 3*v, 3*z - 18 = 3*v for v. -3 Solve 3*l = -2*l + m, 5 = -m for l. -1 Solve 4*q = r - 7, 0 = 18*q - 22*q - 2*r + 2 for q. -1 Solve 2*y - 4 = -a - 9, 3*a - 5*y = 18 for a. 1 Solve -9 = -5*y - 3*w - 8, -3*w + 5 = y for y. -1 Solve 0 = -6*z - 12, 3*p + 5*z + 12 = -13 for p. -5 Solve n + 6 = -5*k + 30, 0 = -4*n - k + 1 for n. -1 Solve 0 = 5*a - 20, -i - 4*a + 10 = -2*a for i. 2 Solve 2*x - 6*c = -11*c + 26, -4*x + 32 = 5*c for x. 3 Solve -5*r - 3 = -4*i - 38, 3*i + 2*r + 9 = 0 for i. -5 Solve 18 = -3*k + 3*m, -5*m = -k - 17 - 5 for k. -2 Solve -5*x = p - 22, 6*p + 5*x = 9*p + 14 for p. 2 Solve 24 = 5*a + 3*q, -8*q = -2*a - 4*q - 6 for a. 3 Solve 4*j - 2*h = -26, 3*j + h = 2*h - 18 for j. -5 Solve 0 = 3*n - 12, 4*k - 3*n + 9 + 3 = 0 for k. 0 Solve 5*j - 13 = -3*g, -3*j = 5*g - 3 - 8 for j. 2 Solve 5*c = -4*n - 9 - 4, 0 = 3*c - 3*n - 3 for c. -1 Solve 2*r + 0 = f - 10, 20 = 5*f for r. -3 Solve -4*u - 8 = -6*d, 27*d - 25*d - 8 = 0 for u. 4 Solve 16*v + 6 = -b + 17*v, -4*b - 12 = -v for b. -2 Solve 5*d = 18*a - 21*a - 25, -5*d = -4*a + 25 for d. -5 Solve -11 = 3*g + a, -g + 1095*a - 1096*a = 3 for g. -4 Solve 0 = 4*j - 3*u - 8, -3*j - 9*u + 13*u = -6 for j. 2 Solve 3*u = i + 17, 4*u + 32 = 5*i + 62 for u. 5 Solve -4*x + 4*r - 26 = -x, -x + 3 = r for x. -2 Solve m + 3*c + c = -6, -5*m - 4*c - 14 = 0 for m. -2 Solve -4*f + 4 = -4*w, -4*w + f - 5*f = 12 for w. -2 Solve 5*a = g - 3, 2*a + 2*a = -g + 3 for a. 0 Solve -5*b + 2*p - 6 = -3*b, -5*p = b - 3 for b. -2 Solve -d = -2, 4*d = q + 6*d - 6 for q. 2 Solve n - 2*y - 4 = -2*n, 2*n = -4*y + 24 for n. 4 Solve 2*c - 22 = 5*t + 3, -3*c + 2*t = -10 for c. 0 Solve 5*g = -6*l + 3*l + 22, -2*l = -5*g + 27 for g. 5 Solve -2*i - 6 = 4*r, 4*i - 2*i - 14 = r for i. 5 Solve 0 = y - 2*r - 1, -5*y + r = -0 - 23 for y. 5 Solve p - 6 = l, -18 = 4*l - 0*l - 2*p for l. -3 Solve 0 = -2*a - v - 6 + 1, -2*a = -5*v - 1 for a. -2 Solve x + 7 = -4*x - 4*o, -3*x - 2*o = 3 for x. 1 Solve -2*p + 4 = 3*o, 10 = -338*o + 341*o - 4*p for o. 2 Solve -3*p - 14*b + 11*b - 9 = 0, 0 = b + 5 for p. 2 Solve 4*i = 20, 0 = -4*p + 119*i - 117*i - 30 for p. -5 Solve 3 = -x, 2*x - 14 = 5*u - 0 for u. -4 Solve 5*y + 3*j = 24, 9 = 8*y - 7*y + 2*j for y. 3 Solve 5*j + 14 = 50*d - 49*d, -d + 4*j + 11 = 0 for d. -1 Solve -27*p + 31*p - 12 = -3*q, -3*p = -5*q - 9 for p. 3 Solve 0 = -a, -6*r - a - 12 = -3*r for r. -4 Solve 3*y - 153*t = -156*t, 0 = 4*y + t + 3 for y. -1 Solve 16*p - 5 = 5*r + 13*p, 3*r + p + 17 = 0 for r. -4 Solve -u = -5*v + 11, -u + 0 = 2*v - 10 for u. 4 Solve -n - 5*o - 157 = -148, -o = -4*n - 15 for n. -4 Solve 2*y + 2 = g, y = -y + 2*g - 2 for y. -1 Solve 28 = 4*y - 4*z, -7*z - 10 = -4*y - 9*z for y. 4 Solve 0 = -5*v + 25, 0 = 2*w + 3*w - 2*v - 5 for w. 3 Solve -3*z + p = -19, -z - 18 + 27 = -p for z. 5 Solve -q + 4*d = 9, -5*q - 3*d + 2*d - 24 = 0 for q. -5 Solve 4*m = 5*y - 13, -15*m - y - 1 = -17*m for m. 3 Solve -4*x - 28 = 3*c - 11, -2*c + 17 = -3*x for c. 1 Solve -21 = -r + 25*i - 20*i, 10 = 2*r - 2*i for r. 1 Solve 8*s - 2*d = 10*s + 10, -s + 3*d + 3 = 0 for s. -3 Solve -3*y = -0*a - 5*a + 17, 0 = 2*y + 8 for a. 1 Solve 8 = 2*x + 2*d, -5 = -141*d + 146*d for x. 5 Solve 4*o - 4*b = -4, 3*o - 5*b + 9 = -o for o. 4 Solve 1 = 2*n + 2*g + 7, 0 = -2*n - 3*g - 4 for n. -5 Solve -7*u + 2*u + 10 = 5*b, 3*b + 9 = 2*u for b. -1 Solve -g = -p - 4, 15 = 4*g + 5*p - 1 for g. 4 Solve 4*z - 31 = 3*u, 4*u + 25 + 3 = 2*z for z. 4 Solve 0 = 5*f + 2*p - 13, 4*f - 2*p = 13 - 17 for f. 1 Solve -4*l + 143 = -5*f + 96, -2*l + 34 = -4*f for l. 3 Solve -3*l - 1 = 4*x, 3*l - 2*x + 0*x = -13 for l. -3 Solve 0 = -2*h - 156 + 160, -2 = 5*o + 4*h for o. -2 Solve -2*h = 2*d - 12, 3*h = 5*d + 4 - 2 for h. 4 Solve 3*t = 5*z - 20, -3*z = -t - 6 - 2 for z. 1 Solve -5*a - 5 = 2*w, 25*w = 29*w + 2*a + 18 for w. -5 Solve -r + 4*r - 2*w - 5 = 0, 3*r + 2*w - 13 = 0 for r. 3 Solve 2*n = 4*n - 4, 0 = q - 4*n + 8 for q. 0 Solve -2*r = -s - 0*s - 2, 3*r + 2*s - 10 = 0 for r. 2 Solve 3*m + y - 5*y - 25 = 0, 21 = 3*m - 3*y for m. 3 Solve -101 + 90 = 2*m - 3*z, -4*m = -4*z + 12 for m. 2 Solve -2*b - 5*m = 25, -96 = -5*b + 3*m - 112 for b. -5 Solve 0 = 3*t - 2*k - 2, t - 483*k + 2 = -485*k for t. 0 Solve -4*j = -5*s - 5, 3*j + 131*s = 127*s - 4 for j. 0 Solve -4*r - 3*a = -1, 4*r + 3*a = -a for r. 1 Solve 0 = 4*m + 8, -5*m - 15 - 3 = 2*j for j. -4 Solve 14*u - 17*u + 44 = -4*q, -40 = -4*u + 3*q for u. 4 Solve 2*t + 2*s + 0 = 10, -4*t + 2*s = 4 for t. 1 Solve 5*b - 2*q = -3, 5*b = 3*b + 3*q - 10 for b. 1 Solve 5*g + 5*o - 35 = 0, 39*g - 36*g + 5*o = 29 for g. 3 Solve -4*y - l + 7 = 0, -2*y + l - 4 = -5*y for y. 3 Solve 5*f + 2*a + 21 = 0, -2*a - 2*a - 9 = -f for f. -3 Solve 0 = 3*l - 4*p + 6, 5*l = -p - 2*p + 19 for l. 2 Solve 12 = 4*j, -6*m + 2*m - 3*j = -25 for m. 4 Solve -10*n - 30 = -9*n + 5*a, 3*n + 35 = -4*a for n. -5 Solve -3*i = 4*r + 6, 2*i + 1 = i - r for i. 2 Solve 2*c + 2*t + 14 = 0, -14 = -3*c + 7*t - 3*t for c. -2 Solve 5*s = 2*b + 22, -9*s + 7*s - 2*b + 6 = 0 for s. 4 Solve -2*c = 3*c + 5*p - 30, 4*c - 2*p = 18 for c. 5 Solve 4*y = -3*j - 25, 0*j + 2*y + 2 = 2*j for j. -3 Solve 5*w - 2*a = -17, -60*a + 61*a + 9 = -w for w. -5 Solve 0 = 5*z + 4*u + 3, 3*z - 2 = -5*u + 4 for z. -3 Solve -4*r = w + 10, 0 = -0*r - r + 3*w - 9 for r. -3 Solve 2*o + 0 = 3*l - 19, -2*l - 4*o = -2 for l. 5 Solve -3*l + 1 = 5*z, 10*l + 3*z = 9*l + 3 for l. -3 Solve 4*w - 3*j = 308 - 329, 5*w + 34 = -4*j for w. -6 Solve 9*b - 10*b + 3*t + 2 = 0, 5*b - 2*t = 10 for b. 2 Solve -2*z + 2 = -3*c, 3*c - 6 = c + 5*z for c. -2 Solve -3*m - 2*u = 22 - 2, -m = -4*u - 12 for m. -4 Solve -4*r + 5*x = -30, -x - 27 = -22*r + 17*r for r. 5 Solve 3*w + 5*m + 0 = 1, 5*w + 19 = 2*m for w. -3 Solve -4*n - 18 = n + d, -3*n = -4*d - 3 for n. -3 Solve 0 = -3*f - 5*x - 20 - 17, -3*f = -3*x - 3 for f. -4 Solve 0 = z - 5*z + b + 18, 0 = -z - b + 2 for z. 4 Solve -h - 6 = 4*h - 3*p, 5*h + 18 = -p for h. -3 Solve -5*n + 4*d + 41 = 0, -2*d = -4*n - 4 + 32 for n. 5 Solve -r - 9 + 7 = 0, -3*b = 3*r + 21 for b. -5 Solve l - 1 = 5*p - 6*p, -5*p - 2*l = -2 for p. 0 Solve 5*f = -54*d + 49*d, -f - 6 = -d for d. 3 Solve 3*n = 53*s - 54*s - 3, -4 = 4*n + 2*s for n. -1 Solve -x = -5*c + 2*x - 14, -x - 18 = 4*c for c. -4 Solve 0 = -3*t + 2*k - 1, -5 = -k - 3 for t. 1 Solve 4*d = 3*p + 7, 0 = 5*p - 2*d + 13 - 6 for p. -1 Solve -4*x + x = -3*a - 3, -5*x = -3*a - 1 for a. -2 Solve -2*s + 3 = -u - 0, 3*s = 0 for u. -3 Solve -c = -1, c + 2 = -3*j + 3 for j. 0 Solve -15 = -2*r - 3*v, 4*r - 6*v + 8*v - 10 = 0 for r. 0 Solve -4*n - 3*r = n - 23, r + 15 = 4*n for n. 4 Solve 4*z - h + 4 = 0, -9 = 2*z - 3*h + 3 for z. 0 Solve 4*x + 2*u + 6 = 0, -9 = -0*x + x + 2*u for x. 1 Solve -3*v = -3*h, 3*h + 126 = -v + 118 for h. -2 Solve -82*y + 81*y - 6 = c, y = 2*c + 6 for y. -2 Solve 4 + 33 = -5*a - 4*j, -5*a - 31 = 2*j for a. -5 Solve -4*i - 19 = 5*l, 10 = -4*i - 4*l - 6 for i. -1 Solve -7*z - l = -12, z + 2 = 2*l + 8 for z. 2 Solve -13*l - 16 = -18*l + 4*r, 0 = 4*l + 4*r + 16 for l. 0 Solve 8*q = -2*w + 11*q + 5, 0 = -w + 5*q + 13 for w. -2 Solve 7*i - 9*i - 4*a - 16 = 0, -18 = 2*i + 5*a for i. -4 Solve 0 = -6*f + 2*f + 5*h + 9, -3*h = -3*f + 3 for f. -4 Solve -g - s + 6 = 0, -5*g - 5 = -7*g + 5*s for g. 5 Solve z + 2*s + 4 = 3*z, s = -5 for z. -3 Solve -3*f = -2*q + 9, 36*f + 11 = 35*f - 2*q for f. -5 Solve 3*i + 3 = -4*h, 4*i + 4 = 7*h - 9*h for h. 0 Solve 0 = 3*n - 2*l + 2, 4*n = -399*l + 403*l - 8 for n. 2 Solve 5*u + 20 = -5*f, -5*f + 6 = -3*u - 14 for f. 1 Solve -5*r + 5 = -v - v, -5*v - 3*r = -3 for v. 0 Solve 2*w + 9 = -4*a - 1, 2*a = -2*w - 4 for a. -3 Solve -5*b + l - 19 = 0, -4*l = 5*b - 1 - 0 for b. -3 Solve -v + 5 = x - 3, 0 = -2*v + 2*x - 4 for v. 3 Solve 18 = -2*j + 4*d, -11 = -181*j + 184*j + 2*d for j. -5 Solve -5*z = 5*q - 35, 2*z + 4*q - 12 = 6 for z. 5 Solve -3 - 2 = d - 5*u, 0 = 4*u for d. -5 Solve -5*d - 40 = -4*b, -2*b = 4*d - 5*d - 14 for b. 5 Solve 4*t - 7*k = -12*k + 40, -4*k + 11 = -t for t. 5
Calculate prob of picking 1 r and 1 m when two letters picked without replacement from ffarnffmnrmfrfacffr. 8/171 What is prob of picking 1 h and 1 d when two letters picked without replacement from {h: 2, d: 1}? 2/3 Four letters picked without replacement from {f: 3, m: 8, a: 2, p: 6}. Give prob of picking 3 m and 1 a. 28/969 What is prob of picking 2 z when two letters picked without replacement from maalzgmzagggnma? 1/105 Four letters picked without replacement from krgcgbb. What is prob of picking 1 r, 1 b, and 2 g? 2/35 What is prob of picking 1 u, 1 o, and 1 f when three letters picked without replacement from ouwwwuuwwwwwofuufuww? 2/95 What is prob of picking 1 r and 3 j when four letters picked without replacement from jjjprrrjjrj? 8/33 Three letters picked without replacement from shssnhnhhnrhhus. What is prob of picking 1 u, 1 h, and 1 s? 24/455 Calculate prob of picking 1 i and 2 z when three letters picked without replacement from zaazagugggzaizz. 2/91 Calculate prob of picking 3 q when three letters picked without replacement from rwrwrqqwrqw. 1/165 Two letters picked without replacement from {w: 4, p: 1, z: 2}. What is prob of picking 1 z and 1 w? 8/21 Two letters picked without replacement from {g: 5, u: 7}. Give prob of picking 2 g. 5/33 Calculate prob of picking 1 y and 1 l when two letters picked without replacement from {q: 5, l: 5, y: 8}. 40/153 Calculate prob of picking 1 p, 1 w, and 1 x when three letters picked without replacement from bpiwspbpwwpbxbbpsps. 6/323 Two letters picked without replacement from hmhllhlhlhhllhhhhm. What is prob of picking 1 h and 1 m? 20/153 What is prob of picking 4 d when four letters picked without replacement from dddddd? 1 Four letters picked without replacement from vavvvvvaaaaavvaaaav. Give prob of picking 3 v and 1 a. 70/323 What is prob of picking 2 u and 2 v when four letters picked without replacement from uvvvvuvuuu? 10/21 Four letters picked without replacement from qgggqqggqgggqg. Give prob of picking 4 g. 18/143 What is prob of picking 1 g and 1 c when two letters picked without replacement from {g: 3, e: 1, c: 2, v: 1, a: 2, b: 3}? 1/11 What is prob of picking 1 d and 1 s when two letters picked without replacement from {d: 12, s: 1}? 2/13 Calculate prob of picking 3 p and 1 w when four letters picked without replacement from pwwwvpvpwppwvwvvppwp. 392/4845 Calculate prob of picking 3 j and 1 x when four letters picked without replacement from jjxjjjjrjxrxxjx. 8/39 Four letters picked without replacement from eeuueeueuuuueeuu. What is prob of picking 4 u? 9/130 Two letters picked without replacement from vagva. Give prob of picking 1 g and 1 v. 1/5 What is prob of picking 1 d, 1 f, and 1 s when three letters picked without replacement from {s: 3, d: 3, f: 1, y: 3}? 3/40 Two letters picked without replacement from ccecqccqqqcccqxqqc. Give prob of picking 1 q and 1 e. 7/153 Three letters picked without replacement from {w: 2, o: 7}. Give prob of picking 1 o and 2 w. 1/12 Two letters picked without replacement from yyuuqxuxxyuyuxu. Give prob of picking 2 y. 2/35 What is prob of picking 1 n and 2 u when three letters picked without replacement from {u: 2, n: 4, r: 2, z: 1}? 1/21 What is prob of picking 3 x and 1 z when four letters picked without replacement from ppxxxzpzzxzxpppxxp? 7/153 Three letters picked without replacement from fksfkfkkk. What is prob of picking 1 k and 2 f? 5/28 Calculate prob of picking 1 h and 1 r when two letters picked without replacement from {c: 1, o: 11, h: 1, r: 1, l: 1}. 1/105 Two letters picked without replacement from {r: 11, u: 2, j: 2, b: 1}. What is prob of picking 2 u? 1/120 Four letters picked without replacement from jgjsffggjdjjgdssjd. What is prob of picking 1 g and 3 j? 4/153 Four letters picked without replacement from wwwwwwrrwwerewws. What is prob of picking 2 e, 1 w, and 1 r? 3/182 Calculate prob of picking 2 y, 1 w, and 1 t when four letters picked without replacement from thwywhwyhy. 3/70 Two letters picked without replacement from yyyyyyyyccyyycy. Give prob of picking 2 y. 22/35 What is prob of picking 1 x and 1 f when two letters picked without replacement from {f: 2, r: 3, n: 4, x: 2}? 4/55 What is prob of picking 1 i and 1 n when two letters picked without replacement from rrxvvrnrvvrxrir? 1/105 Three letters picked without replacement from sassaa. Give prob of picking 1 s and 2 a. 9/20 Four letters picked without replacement from gggdgggdgggdggg. What is prob of picking 2 g and 2 d? 66/455 Two letters picked without replacement from {g: 4, a: 1, y: 4, j: 2}. Give prob of picking 1 y and 1 g. 16/55 Calculate prob of picking 1 p, 1 a, and 1 m when three letters picked without replacement from {m: 3, a: 4, p: 2}. 2/7 Calculate prob of picking 3 x when three letters picked without replacement from {s: 1, x: 12}. 10/13 Three letters picked without replacement from fccc. What is prob of picking 3 c? 1/4 Calculate prob of picking 1 m and 1 a when two letters picked without replacement from lmllmlmlllmllllyaaal. 6/95 Four letters picked without replacement from nqvnnnvvmnnvnmnovnnn. What is prob of picking 3 v and 1 n? 22/969 Three letters picked without replacement from okpxhpahphkkxphxphp. Give prob of picking 2 k and 1 x. 3/323 Four letters picked without replacement from lyyiyiiy. Give prob of picking 1 l, 2 y, and 1 i. 9/35 What is prob of picking 1 b, 2 j, and 1 k when four letters picked without replacement from {j: 4, b: 3, k: 4}? 12/55 Four letters picked without replacement from dhmpbdhpppphbmnhp. What is prob of picking 1 n, 2 d, and 1 p? 3/1190 Two letters picked without replacement from {t: 10, h: 2, g: 4}. Give prob of picking 2 g. 1/20 What is prob of picking 1 v and 2 u when three letters picked without replacement from {v: 3, l: 2, u: 2, p: 2, j: 1, z: 2}? 3/220 Two letters picked without replacement from xcuzccunxunc. What is prob of picking 2 u? 1/22 Four letters picked without replacement from {m: 2, q: 5}. What is prob of picking 4 q? 1/7 Four letters picked without replacement from {z: 4, u: 15}. What is prob of picking 1 z and 3 u? 455/969 What is prob of picking 3 r when three letters picked without replacement from {k: 2, y: 2, r: 4, a: 2}? 1/30 Calculate prob of picking 1 b, 1 e, and 1 m when three letters picked without replacement from {e: 1, j: 1, b: 1, d: 1, m: 1}. 1/10 Two letters picked without replacement from {u: 3, r: 2}. Give prob of picking 1 r and 1 u. 3/5 What is prob of picking 1 x and 1 t when two letters picked without replacement from {x: 1, t: 2}? 2/3 Calculate prob of picking 2 w when two letters picked without replacement from {g: 7, w: 6, u: 2}. 1/7 What is prob of picking 1 f and 1 t when two letters picked without replacement from fjofotf? 1/7 Two letters picked without replacement from {y: 3, k: 8, t: 7}. What is prob of picking 2 t? 7/51 Two letters picked without replacement from hhahguahuauhgyyhyy. What is prob of picking 2 h? 5/51 Two letters picked without replacement from cctretrttrcjtc. Give prob of picking 1 r and 1 j. 3/91 Two letters picked without replacement from {s: 1, o: 3}. Give prob of picking 1 o and 1 s. 1/2 Two letters picked without replacement from lloooookoo. Give prob of picking 2 l. 1/45 Three letters picked without replacement from {l: 1, i: 2, z: 1, u: 1, h: 2, b: 2}. Give prob of picking 2 h and 1 b. 1/42 Three letters picked without replacement from {k: 1, r: 1, t: 1, j: 1, a: 1}. Give prob of picking 1 a, 1 k, and 1 j. 1/10 What is prob of picking 2 p when two letters picked without replacement from jppppppjjjjjjp? 3/13 What is prob of picking 1 o and 1 n when two letters picked without replacement from {o: 8, n: 1, w: 1, q: 3, t: 6}? 8/171 Two letters picked without replacement from jgzj. Give prob of picking 1 g and 1 j. 1/3 What is prob of picking 4 c when four letters picked without replacement from {q: 8, m: 7, c: 5}? 1/969 What is prob of picking 1 p and 1 j when two letters picked without replacement from {y: 11, m: 1, p: 1, g: 1, j: 1, i: 1}? 1/120 What is prob of picking 1 a and 2 f when three letters picked without replacement from {f: 10, g: 2, a: 4}? 9/28 Calculate prob of picking 1 e and 1 p when two letters picked without replacement from {q: 2, p: 4, z: 1, e: 2}. 2/9 What is prob of picking 2 q, 1 w, and 1 y when four letters picked without replacement from sqayspqwqaaa? 1/165 Calculate prob of picking 2 g when two letters picked without replacement from ggggg. 1
What is prob of picking 1 v and 1 n when two letters picked without replacement from {v: 2, n: 1, j: 2}? 1/5 Two letters picked without replacement from {c: 5, x: 1, j: 4, u: 5}. What is prob of picking 1 u and 1 x? 1/21 Two letters picked without replacement from {q: 11, e: 3}. What is prob of picking 2 q? 55/91 What is prob of picking 1 e and 2 w when three letters picked without replacement from eeweeewwwee? 14/55 Three letters picked without replacement from {k: 2, d: 1, s: 4, v: 2, q: 7}. Give prob of picking 1 d, 1 q, and 1 v. 1/40 What is prob of picking 1 u and 1 b when two letters picked without replacement from nnunbnb? 2/21 Two letters picked without replacement from {y: 1, f: 5, s: 1, t: 1, q: 4}. Give prob of picking 1 s and 1 q. 2/33 Calculate prob of picking 2 y and 1 i when three letters picked without replacement from tiiiifytyrya. 3/55 Two letters picked without replacement from bepdodddqeqqd. Give prob of picking 1 e and 1 o. 1/39 Four letters picked without replacement from zzzzzzzzz. Give prob of picking 4 z. 1 Four letters picked without replacement from sssssssmssmssms. What is prob of picking 3 m and 1 s? 4/455 Three letters picked without replacement from cztkfcb. What is prob of picking 1 b, 1 t, and 1 k? 1/35 What is prob of picking 2 m and 1 u when three letters picked without replacement from umuurrgumgurummuuu? 9/136 Two letters picked without replacement from {y: 3, t: 1, j: 1}. Give prob of picking 1 t and 1 y. 3/10 Two letters picked without replacement from {l: 6, v: 6}. Give prob of picking 1 l and 1 v. 6/11 Three letters picked without replacement from qqpppwwpp. What is prob of picking 2 p and 1 q? 5/21 Two letters picked without replacement from pppdveyyeepp. Give prob of picking 1 p and 1 d. 5/66 Four letters picked without replacement from xvvvxtvvbtvttttbbe. Give prob of picking 1 b, 2 v, and 1 t. 3/34 Three letters picked without replacement from tsstt. What is prob of picking 1 t and 2 s? 3/10 Calculate prob of picking 2 r and 1 n when three letters picked without replacement from ruuurrqcuqccqnnurr. 5/204 Two letters picked without replacement from {v: 2, b: 2, h: 1, o: 3, e: 6, w: 1}. What is prob of picking 1 w and 1 h? 1/105 Four letters picked without replacement from gfaafaafgyaaafqffqf. Give prob of picking 2 f and 2 a. 147/1292 What is prob of picking 3 q when three letters picked without replacement from qxxxxxqxxxxxxxxxxx? 0 What is prob of picking 1 t and 1 j when two letters picked without replacement from {d: 8, j: 5, t: 4}? 5/34 What is prob of picking 2 j when two letters picked without replacement from vjjjsvjhsjvsv? 5/39 Two letters picked without replacement from hnxfdhn. Give prob of picking 1 n and 1 d. 2/21 Calculate prob of picking 1 t, 2 d, and 1 q when four letters picked without replacement from ddqqt. 2/5 Two letters picked without replacement from ayiaaaaayiiiaiaiia. Give prob of picking 2 i. 7/51 Three letters picked without replacement from {u: 7, o: 1}. Give prob of picking 3 u. 5/8 Four letters picked without replacement from {o: 1, x: 2, u: 1, r: 1, w: 8, h: 3}. Give prob of picking 2 h, 1 x, and 1 r. 3/910 Calculate prob of picking 2 a when two letters picked without replacement from raararrrrarra. 5/39 Calculate prob of picking 1 m and 1 v when two letters picked without replacement from {n: 1, v: 2, m: 1}. 1/3 Three letters picked without replacement from jorjcerojjcccjbje. Give prob of picking 1 o and 2 e. 1/340 Calculate prob of picking 2 r when two letters picked without replacement from crrr. 1/2 What is prob of picking 2 j and 2 h when four letters picked without replacement from {j: 11, h: 9}? 132/323 Two letters picked without replacement from {l: 2, t: 2}. Give prob of picking 1 t and 1 l. 2/3 What is prob of picking 1 r and 1 z when two letters picked without replacement from rzzzzzzzrzzzz? 11/39 Four letters picked without replacement from {j: 19, m: 1}. Give prob of picking 4 m. 0 Two letters picked without replacement from zbzzzzzolbzbbolz. What is prob of picking 2 o? 1/120 Four letters picked without replacement from jjpjjjjpjjpjjjjjjpp. What is prob of picking 3 p and 1 j? 35/969 Two letters picked without replacement from auuaaa. Give prob of picking 2 u. 1/15 What is prob of picking 2 d when two letters picked without replacement from dlbtdttttdtdtddtdtl? 7/57 Two letters picked without replacement from {t: 1, v: 2, k: 4, d: 1}. What is prob of picking 2 t? 0 Calculate prob of picking 3 s when three letters picked without replacement from {v: 4, g: 3, s: 7}. 5/52 What is prob of picking 2 s when two letters picked without replacement from {s: 5, v: 2, e: 4, k: 2}? 5/39 What is prob of picking 2 a and 1 h when three letters picked without replacement from {i: 4, h: 4, n: 2, v: 5, a: 2}? 1/170 Two letters picked without replacement from {p: 4, d: 1, a: 3, v: 2, l: 6}. Give prob of picking 1 l and 1 d. 1/20 Two letters picked without replacement from uuuu. What is prob of picking 2 u? 1 What is prob of picking 1 v and 2 j when three letters picked without replacement from fjxjajjvjjxxa? 15/286 Four letters picked without replacement from meeemeeeemeeeeeeeme. Give prob of picking 2 e and 2 m. 105/646 Calculate prob of picking 4 j when four letters picked without replacement from {j: 7, w: 4, m: 4}. 1/39 What is prob of picking 1 f and 1 n when two letters picked without replacement from yqtyftdn? 1/28 Three letters picked without replacement from {r: 3, j: 4, l: 1, d: 6, o: 2, i: 2}. Give prob of picking 1 r, 1 d, and 1 o. 3/68 Calculate prob of picking 1 p and 1 v when two letters picked without replacement from {q: 1, p: 1, v: 2, t: 2}. 2/15 Three letters picked without replacement from {g: 1, p: 1, l: 1, v: 2}. What is prob of picking 1 g, 1 v, and 1 l? 1/5 Three letters picked without replacement from ciiihhhiihiciihihhh. Give prob of picking 3 i. 28/323 Two letters picked without replacement from aaaoaaooaoa. What is prob of picking 1 a and 1 o? 28/55 What is prob of picking 2 e when two letters picked without replacement from {n: 3, e: 2}? 1/10 Four letters picked without replacement from {u: 4, h: 1, y: 2, z: 1, l: 1}. Give prob of picking 1 z, 1 u, and 2 l. 0 Two letters picked without replacement from bbdqbbqbqqbddd. Give prob of picking 1 b and 1 q. 24/91 Calculate prob of picking 1 p and 1 v when two letters picked without replacement from pxbixibbgbbpbibpv. 3/136 What is prob of picking 3 z and 1 q when four letters picked without replacement from qqnqzqnzzzzqz? 20/143 What is prob of picking 1 f and 1 e when two letters picked without replacement from {e: 1, y: 1, p: 1, f: 4, h: 1}? 1/7 Calculate prob of picking 2 v when two letters picked without replacement from {z: 1, r: 1, y: 1, k: 5, l: 2, v: 6}. 1/8 Calculate prob of picking 4 n when four letters picked without replacement from {g: 4, n: 5, d: 3, u: 1}. 1/143 Two letters picked without replacement from ayyeyyyzyezabaa. Give prob of picking 1 b and 1 z. 2/105 Four letters picked without replacement from {m: 1, q: 1, e: 1, v: 2, f: 1, x: 1}. What is prob of picking 1 v, 1 f, 1 x, and 1 e? 2/35 Calculate prob of picking 4 j when four letters picked without replacement from jljjjjljjnjnljjjnjj. 715/3876 Calculate prob of picking 2 t when two letters picked without replacement from stssssssssst. 1/66 Calculate prob of picking 2 o when two letters picked without replacement from aloa. 0 What is prob of picking 2 z when two letters picked without replacement from oiseeuuzzuuue? 1/78 Calculate prob of picking 1 j and 2 d when three letters picked without replacement from jdddoooddddooddodd. 55/816 Three letters picked without replacement from lzzplpzlzpzzpz. Give prob of picking 1 z, 1 p, and 1 l. 3/13 Two letters picked without replacement from vydyvdvzzdvyydmd. Give prob of picking 2 y. 1/20 Three letters picked without replacement from {c: 5, t: 1, k: 7}. What is prob of picking 2 k and 1 t? 21/286 Two letters picked without replacement from {g: 2, n: 1, s: 1}. What is prob of picking 1 g and 1 n? 1/3 Two letters picked without replacement from {m: 5, e: 1, b: 1, k: 4}. What is prob of picking 1 m and 1 b? 1/11 Two letters picked without replacement from zxcxxxxxxxx. What is prob of picking 2 x? 36/55 Three letters picked without replacement from ksksss. Give prob of picking 1 s and 2 k. 1/5 Calculate prob of picking 1 w and 1 p when two letters picked without replacement from oppppoooppooowoooopo. 7/190
Suppose -8832 = -4*a - l + 10888, -3*l - 24667 = -5*a. List the prime factors of a. 4931 Let d(q) = q. Let l be d(5). Let a(n) be the third derivative of -n**5/60 + 3*n**4/8 - 5*n**3/6 + 188*n**2. List the prime factors of a(l). 3, 5 Let j(i) = i + 4. Let y be j(0). Suppose 2*d - 2*g + 2 = -8, -y*g + 2 = 5*d. List the prime factors of ((-14)/(-4))/(d/(-16)). 2, 7 Let u(b) = b**2 - 21*b + 37. List the prime factors of u(26). 167 Suppose 4*f + 728 = 5*f. Suppose 4*a = -5*p + f, -4*a + 79 = 2*p - 217. List the prime factors of p. 2, 3 Suppose 6*z - 2459 = -479. Suppose 106*f - z = 104*f. What are the prime factors of f? 3, 5, 11 Let g = -578 + 845. What are the prime factors of g? 3, 89 Let y(k) = -2 - 4*k + 8*k - 3*k. Let n be y(0). List the prime factors of (n/8)/(3/(-708)). 59 Suppose -4189 = -54*t - 517. What are the prime factors of t? 2, 17 Suppose -2*i - 3*f - 2 = 0, -2*i - 5*f = 2*i. Suppose -i*l - 833 = -2*y - 2*y, 2*y + l - 413 = 0. What are the prime factors of y? 3, 23 What are the prime factors of (-3*314)/(-10 - (-112)/12)? 3, 157 Let i be 3/12*2*8. Suppose c + 0 = -n - 6, c + i*n + 6 = 0. What are the prime factors of 3/(c/(-14))*3? 3, 7 Let q be 1103/13 + 4/26. Suppose -3*j = 2*j - q. What are the prime factors of j? 17 Suppose -2*p - 11 + 1 = -2*j, 0 = -j - 2*p + 2. Let z be j - 1 - 8/(-2). Let t = 19 - z. What are the prime factors of t? 2, 3 Let t = 399 - -554. List the prime factors of t. 953 Let k = -166 + 149. Let c = 274 - k. What are the prime factors of c? 3, 97 Let o = 45 - 69. Let n = 30 + o. What are the prime factors of n? 2, 3 Suppose 19770 = 38*c - 8*c. List the prime factors of c. 659 Suppose 5*v + 4*d + d - 15 = 0, 3*d + 26 = 4*v. Suppose -6*x + v*x + 5 = 0. Suppose 9*g - 64 = x*g. What are the prime factors of g? 2 Suppose -2165 = -8*a + 2963. Suppose -5*m + 3*q + 639 = 4*q, -a = -5*m + q. What are the prime factors of m? 2 Let v(d) = 191*d - 18. What are the prime factors of v(3)? 3, 5, 37 Let j(y) = 5*y**2 - y. Let a be j(1). Suppose 0 = -4*n + a*z - z + 279, 0 = -3*n - z + 206. What are the prime factors of n? 3, 23 Let d(m) = 2*m**2 - 33*m - 17. List the prime factors of d(29). 2, 3, 59 Let c = 2655 + -1784. List the prime factors of c. 13, 67 Let z be 2*4*2/8. Suppose -2*d - z*x = -4*x, -2*d - x + 6 = 0. Suppose 43 = t + d. What are the prime factors of t? 41 Let a = -29 + 88. Let d = 35 - a. What are the prime factors of d/(-30)*50/1? 2, 5 Let m = -20 - -10. Let i(d) be the third derivative of -7*d**4/24 - 17*d**3/6 + 7*d**2. List the prime factors of i(m). 53 Let y be 1 + (-2 - -1 - -11). Suppose -22*m = 7*m - 29. What are the prime factors of (y - 14)/(m*-1)? 3 Suppose 3*x = 47 - 53. List the prime factors of x - (-132 + (1 - 1) + -2). 2, 3, 11 Let t(j) = 4*j + 3*j - 8 + 2*j. What are the prime factors of t(9)? 73 Let b = -125 - -134. What are the prime factors of (b/(-3))/((-24)/1304)? 163 Suppose 4*h + 1 = -3*g - 3, -2*g = -4*h - 24. Suppose 2*s - 5*b = g*s - 50, 4*s = -2*b + 84. List the prime factors of s. 2, 5 Let b(z) = -6*z**3 + 5*z**2 + 8*z + 1. Let q be b(-4). Suppose -4*v = -5*l + q, -5*l + 597 - 158 = -2*v. What are the prime factors of l? 89 Let t(v) = -19*v**3 - 6*v**2 + v + 6. List the prime factors of t(-3). 2, 3, 7, 11 Let b(l) = -l**3 - l**2 - 2*l - 17. Let f be b(0). Let s = -15 - f. Suppose -s*q + 32 = 2*t, -q + t - 4*t + 20 = 0. What are the prime factors of q? 2, 7 Let u(q) = -3*q + 11. Let n be u(5). List the prime factors of n/6 - (-1 - 2660/21). 127 Suppose 1566 = 5*o + 456. What are the prime factors of o? 2, 3, 37 Let t = 0 - 11. Let y be t/55 + 378/(-10). List the prime factors of y/(-14) + 6/21. 3 Suppose -4*c = -7*c + 6. Suppose -7*v + c*v - 265 = -5*s, s - 59 = -2*v. What are the prime factors of (-6)/33 - (-945)/s? 17 Let b(c) = 9*c**2 - 4*c + 4. Let n(l) = l + 0*l**2 + l**2 + 2 - 1 - 2*l. Let d(z) = b(z) - 5*n(z). What are the prime factors of d(1)? 2 Let x(i) = 13*i - 7. Let g be x(3). Suppose y + y = g. Let q = 26 - y. List the prime factors of q. 2, 5 Suppose 3*u + 53 = -2*w - 102, 0 = -u - 5*w - 43. Let h = u - -78. What are the prime factors of h? 5 Suppose d - 4*d = -2*g - 16, -5*d + 22 = -g. What are the prime factors of (-20)/g*44/110? 2 List the prime factors of 1 - (5 - (0 - -322)). 2, 3, 53 Suppose 8*r - 24 - 24 = 0. Suppose 2*y - r*y = -248. List the prime factors of y. 2, 31 Let c = -754 - -368. Let q = -158 - c. List the prime factors of q. 2, 3, 19 Suppose -513*t + 468*t = -253440. List the prime factors of t. 2, 11 Let f be 12 + (-24)/4 + 4. Let r be (-44)/f*(-1 - 4). Suppose 2*k - r = 44. List the prime factors of k. 3, 11 Suppose -5*r + 21 = -2*n, r - 5*n = -3*r + 10. Suppose 0 = -i - 3 + r. Suppose 0 = x - 5, i*x - 111 = -2*o - 3*x. List the prime factors of o. 43 Suppose 22*m + 25*m = 48*m. Suppose m = -18*a + 1665 + 333. List the prime factors of a. 3, 37 Let i = 51 + -48. Suppose i*n - 1278 = -6*n. What are the prime factors of n? 2, 71 Let g = 244 + 2010. List the prime factors of g. 2, 7, 23 Let w(s) be the first derivative of -s**4/4 + 8*s**3/3 - s**2/2 + 4*s + 11. List the prime factors of w(4). 2 Suppose 0 = 2*m - 5*w + 6, 4*w - 6 = -m + 2*m. Suppose -m*j + 444 = -5*j. Let t = -85 - j. What are the prime factors of t? 3, 7 Let b = -478 + 961. What are the prime factors of b? 3, 7, 23 Let v(h) = 0*h + 11*h - 4*h**2 + 5*h**2 - 6. Let m be v(-12). Suppose -m*f = -f - 205. List the prime factors of f. 41 Let x = -104 - -531. List the prime factors of x. 7, 61 Suppose 0 = 5*a - a - 16. List the prime factors of 15/10 - (-294)/a. 3, 5 Let p = -530 - -921. What are the prime factors of p? 17, 23 Let a = -176 + 2378. List the prime factors of a. 2, 3, 367 Suppose -4*o - k + 15 = 0, 3*k + 5 = -o + k. Suppose 4*h - d - 16 = 0, 0*h = -o*h + 5*d + 5. Let g(w) = 3*w - 7. List the prime factors of g(h). 2 Let d be (-9)/(9/(-34)) - 3. Suppose 29*i = d*i - 180. What are the prime factors of i? 2, 3, 5 Let k(d) = 7*d**2 - 3*d - 5. Let r be ((-6)/5)/(8/((-240)/9)). What are the prime factors of k(r)? 5, 19 Suppose 10*f = 9*f + 8. What are the prime factors of 16 + 0*(4/f - 1)? 2 Suppose h = -3*o + 16, 10 = -h + 3*o + 2. Suppose 5*g = -h*c + 993, -4*g - 3*c + 223 = -572. List the prime factors of g. 3, 67 Let k(p) = p**3 + 8*p**2 + 9*p. Let f be k(-4). Let w be (-236)/(-14) - (-4)/f. Suppose -12*c = -w*c + 105. What are the prime factors of c? 3, 7 Let h(b) = b**2 - b - 1. Let f(p) = -2*p**2 - 4*p - 9. Let s(x) = -f(x) + h(x). What are the prime factors of s(8)? 2, 7 Let h be (-32192)/(-88) + -2 - 2/(-11). Let c = h - 179. List the prime factors of c. 5, 37 Let v be (-6)/4 + (-46)/4. Let n = v + 16. Suppose 78 = n*t - 2*s - 3*s, 5*s = -15. List the prime factors of t. 3, 7 Suppose -2*t + 5 = -13. Suppose 26 = -5*h + m, 5*h + 5*m + 29 = t. What are the prime factors of h*(-2 + 1 + -6)? 5, 7 Let n = 56 + -32. Let h = 24 - n. What are the prime factors of 7*(-14)/(-2 - h)? 7 Let s(p) = p - 8. Let w be s(8). Suppose w = 2*h + 5*r - 9 - 227, r = h - 111. What are the prime factors of h? 113 Suppose -3770 = -3*g + c - 6*c, -2*g + 2480 = -5*c. List the prime factors of g. 2, 5 Let o(s) = -s + 11. Let l = -9 - -19. Suppose d = -0*d - l. What are the prime factors of o(d)? 3, 7 Suppose -2*w + 8 = -0*w. Suppose 2*i - 14 + w = 0. Suppose -i*x + 177 = -v, 5*x - v = v + 174. List the prime factors of x. 2, 3 Let q = 611 - 509. List the prime factors of q. 2, 3, 17 Suppose 0 = -5*i + 2*a + 29 + 1606, -4*i + 3*a + 1308 = 0. List the prime factors of i. 3, 109 Suppose -43045 - 19739 = -48*y. List the prime factors of y. 2, 3, 109 Let h be (142 + 8)*1/2. Let m = h + -37. List the prime factors of m. 2, 19 Let n(k) = k**3 + 24*k**2 - 24*k + 25. Let a be n(-25). Suppose -3*c = -5*b + 408, 0*c - 5*c + 20 = a. List the prime factors of b. 2, 3, 7 Let a = 22 - -12. Suppose 3*x + 3*u - 87 = 0, -3*x + a + 28 = -2*u. List the prime factors of 3 + -1 + (x - -4). 2, 3, 5 Let s(h) = 90*h**2 - 14*h - 12. List the prime factors of s(-4). 2, 7, 53 Let z(o) = -2*o**3 + 9*o**2 + 4*o**3 - 3*o**3 - 5*o - 13 + 14*o. What are the prime factors of z(9)? 2, 17 List the prime factors of -4*8*(-31 - -5). 2, 13 Let j = 285 - -109. Suppose -54 = 5*z - j. What are the prime factors of z? 2, 17 Suppose -3*g = -2*d + 23, 4*g = -10 - 10. What are the prime factors of d/(-34) + (-3990)/(-102)? 3, 13 Let t = -90 + 237. What are the prime factors of t? 3, 7 Let a(t) = 5*t**2 + 63*t + 16. What are the prime factors of a(-14)? 2, 3, 19
Let v(s) be the third derivative of s**5/120 - 7*s**4/24 + 10*s**3/3 + 681*s**2. Suppose v(t) = 0. Calculate t. 4, 10 Let x be 0*(-14 + 23 + (-171)/18). Factor 4/3*t**2 + 5/3*t + 1/3*t**5 + x - 4/3*t**4 - 2*t**3. t*(t - 5)*(t - 1)*(t + 1)**2/3 Let j = -20/19 + 97/38. Determine b so that 5/2*b**3 + 0*b - j*b**4 + b**2 + 0 = 0. -1/3, 0, 2 Let t(c) = -3*c**2 - 18*c - 3. Let l(g) be the first derivative of g**3 + 17*g**2/2 + 4*g - 6. Let u(b) = -6*l(b) - 5*t(b). Let u(q) = 0. Calculate q. -3, -1 Suppose -30*a + 30 = -20*a. Let m(v) be the first derivative of -1/8*v**2 - 1/16*v**4 + 1/6*v**a + 0*v - 4. Factor m(r). -r*(r - 1)**2/4 Let t(d) be the third derivative of -d**5/300 + 7*d**4/10 - 294*d**3/5 - 64*d**2. Suppose t(y) = 0. What is y? 42 Find n such that 138/5 - 63/5*n - 3/5*n**2 = 0. -23, 2 Let m(n) be the third derivative of 0*n**5 - 1/60*n**6 - 1/6*n**3 + 1/210*n**7 + 0*n + 6*n**2 + 0 + 1/12*n**4. Suppose m(a) = 0. Calculate a. -1, 1 Let x(k) be the second derivative of k**4/66 - 2*k**3/33 - 8*k**2/11 - 75*k - 1. Factor x(u). 2*(u - 4)*(u + 2)/11 Suppose h + 3*h + 4 = 0. Let t be (2/(-14))/(3/15) - h. Determine y, given that t*y**3 + 0*y - 6/7*y**2 + 0 = 0. 0, 3 Find v, given that -6*v**4 + 27*v + 4*v**4 + 0*v**4 - v**3 - 22*v**2 + 13*v**3 - 15*v = 0. 0, 1, 2, 3 Suppose 133*r + 3 = 134*r. Let k be -3 - ((-95)/15 + r). Factor 1/3*i + k*i**2 + 0. i*(i + 1)/3 Let k(p) be the second derivative of 2*p**6/35 - 47*p**5/35 + 85*p**4/7 - 50*p**3 + 500*p**2/7 - 69*p. Solve k(j) = 0. 2/3, 5 Let i(n) be the third derivative of -n**8/504 - 31*n**7/315 - 28*n**6/45 - 6*n**5/5 + 9*n**2 - 48. Solve i(s) = 0. -27, -2, 0 Find w such that 0*w**2 - 6/7*w**5 + 0*w - 3/7*w**3 + 0 + 9/7*w**4 = 0. 0, 1/2, 1 Let v(s) be the first derivative of -1/14*s**4 + 0*s - 15 - 1/35*s**5 + 1/7*s**2 + 1/21*s**3. Factor v(m). -m*(m - 1)*(m + 1)*(m + 2)/7 Let y(d) = d**3 - 2*d**2 + d + 1. Let c(r) = 3*r**3 - 7*r**2 + 14*r + 12. Let a(t) = -c(t) + 4*y(t). Determine k, given that a(k) = 0. -2, -1, 4 Factor 25*x - 54 - 19*x**2 + 36*x**2 + 8*x - 20*x**2. -3*(x - 9)*(x - 2) Let o(h) be the third derivative of h**7/105 + 7*h**6/60 - h**5/10 - 19*h**4/12 + 14*h**3/3 - 6*h**2. Determine n, given that o(n) = 0. -7, -2, 1 Let h be 208/32 - (-2)/(-4). Factor h*x**2 - 3*x**2 - 6*x - 6*x + 9. 3*(x - 3)*(x - 1) Factor 2*a**5 - 15*a**3 - 256*a**4 + a**5 - 2*a**3 + a**5 + 269*a**3. 4*a**3*(a - 63)*(a - 1) Let q(x) be the second derivative of -65*x**4/12 - 5*x**3/2 - 31*x. Let q(l) = 0. What is l? -3/13, 0 Factor -1114*h + 539*h + 527*h - 84 - 3*h**2. -3*(h + 2)*(h + 14) Suppose 5*z**2 - 18*z + 4*z**4 - 2*z**5 - 8 - 219*z**3 + z**4 - 2*z**4 + 239*z**3 = 0. What is z? -2, -1, -1/2, 1, 4 Let n be 42/(-4) - 11186/(-987). Suppose 0 + 5/6*f + n*f**3 + 5/3*f**2 = 0. Calculate f. -1, 0 Let y(r) be the second derivative of -r**7/3360 + r**6/360 + r**5/480 - r**4/24 + r**3/2 - 12*r. Let j(a) be the second derivative of y(a). Factor j(z). -(z - 4)*(z - 1)*(z + 1)/4 Let r(s) be the third derivative of -1/240*s**5 + 0*s + 1/96*s**4 + 19*s**2 + 0 + 0*s**3. Factor r(x). -x*(x - 1)/4 Let c = 21 + -26. Let s = 5 - c. Factor -6*p**3 + s*p**3 - 4 + 0*p**3 + 12*p - 12*p**2. 4*(p - 1)**3 Let y(b) be the first derivative of -343*b**4/8 - 3724*b**3 - 121296*b**2 - 1755904*b - 356. Factor y(v). -(7*v + 152)**3/2 Factor 2/3*h - 8/9*h**2 + 0 + 2/9*h**3. 2*h*(h - 3)*(h - 1)/9 Suppose -9/2*r**2 - 29/2*r - 3 = 0. What is r? -3, -2/9 Let t(m) be the first derivative of 4*m**3/3 + 178*m**2 + 352*m + 181. Determine z so that t(z) = 0. -88, -1 Let l be ((-24)/(-45))/(-5*8/(-60)). Let 0 - l*u**4 + 4/5*u**2 + 0*u**3 + 2/5*u - 2/5*u**5 = 0. What is u? -1, 0, 1 Let n(s) be the third derivative of s**8/588 - 4*s**7/735 - 4*s**6/105 + 6*s**5/35 - 3*s**4/14 + 82*s**2. Find j, given that n(j) = 0. -3, 0, 1, 3 Let a(v) = -2*v**2 + 1. Let y(z) = -5*z**2 - 27*z - 24. Let l(o) = -2*a(o) + y(o). Factor l(u). -(u + 1)*(u + 26) Let r = 34 + -43. Let j be ((-2)/44)/(r/(-6))*-12. Solve -2/11*y**4 + 2/11*y**3 + j*y**2 + 0*y + 0 = 0. -1, 0, 2 Let o(q) be the first derivative of -q**4 - 28*q**3/3 - 16*q**2 + 64*q - 204. Determine f so that o(f) = 0. -4, 1 Let t be 6/(26*(-1)/(-2)). Let f be 46/(-184)*(-24)/39. Factor -20/13*m - t - f*m**4 - 24/13*m**2 - 12/13*m**3. -2*(m + 1)**3*(m + 3)/13 Let n(g) = -g**2 + 4*g + 120. Let q be n(0). Suppose 0*i**2 - q + 4*i**2 + 136 - 7*i - 9*i = 0. What is i? 2 Factor 0 - 2/5*c**2 - 6/5*c. -2*c*(c + 3)/5 Suppose -63 = 3*l - 30. Let r be (-7 + 6)*2 + (-30)/l. Factor -r*d**2 + 2*d + 6/11. -2*(d - 3)*(4*d + 1)/11 Let q be (-53)/(-6) + 2/12. What is t in q*t**4 + 0*t**5 + 8*t**3 - 28*t**5 + 11*t**4 = 0? -2/7, 0, 1 Solve 2/3*x**3 - 2/3*x + 0 + 0*x**2 = 0 for x. -1, 0, 1 Suppose -21*k**2 + 42*k**2 - 126 - 24*k**2 + 69*k = 0. Calculate k. 2, 21 Let f = -19 - 29. Let d = f + 51. Let 0*a - 1/2*a**d + 0*a**2 + 0 = 0. What is a? 0 Let p be 18/(-2 - 0)*442/(-102). Let z be (p/(-9) - -4)*0. Factor z + 3/4*v**2 - 3/4*v. 3*v*(v - 1)/4 Let t(o) be the first derivative of -o**6/2 + 3*o**5/20 + 4*o**4/5 + 2*o**3/5 + 34*o - 39. Let y(x) be the first derivative of t(x). Solve y(i) = 0 for i. -2/5, 0, 1 Let q(f) = f**3 + 44*f**2 + 17*f - 242. Let y(o) = 45*o**2 + 15*o - 240. Let m(g) = 5*q(g) - 4*y(g). Suppose m(b) = 0. Calculate b. -5, 2 Suppose 3/2 - 1/2*t**2 + 1/4*t**3 - 5/4*t = 0. Calculate t. -2, 1, 3 Let x be 1/(-4)*-4 - (672/70)/16. Factor 0 - x*i + 8/5*i**3 + 3/5*i**4 + 3/5*i**2. i*(i + 1)*(i + 2)*(3*i - 1)/5 Suppose -3*k + q = -435, -3*k + 3*q - 4*q + 435 = 0. Let w be 1/2 + (5 - k/30). Factor 1/3 - w*i + 1/3*i**2. (i - 1)**2/3 Suppose 4*a = l + 1, -72*a + 74*a - 5*l - 5 = 0. Suppose -x + 3 = 2*w + 2, -25 = -5*w + 5*x. Let -1/4*y**4 + 0 + a*y - 3/4*y**w - y**3 = 0. Calculate y. -3, -1, 0 Let k = 521/3 + -173. Let o(x) be the second derivative of -4*x + 0 + 0*x**3 + 1/36*x**4 - k*x**2. Factor o(z). (z - 2)*(z + 2)/3 Let g(v) = -9*v - 43. Let k be g(-5). Let x(y) be the first derivative of -2*y**2 + k*y**3 - 2/5*y**5 + 1 + 0*y + 0*y**4. Suppose x(t) = 0. What is t? -2, 0, 1 Let c = 599/378 - 16/189. Factor c - 5*z + 3/2*z**2. (z - 3)*(3*z - 1)/2 Let i(n) be the third derivative of -6*n**2 + 0 + 1/15*n**6 + 0*n - 2/105*n**7 - 1/3*n**4 + 0*n**5 + 2/3*n**3. Factor i(q). -4*(q - 1)**3*(q + 1) Let j(p) be the second derivative of 5*p**7/42 - 2*p**6/3 + 3*p**5/4 + 5*p**4/3 - 10*p**3/3 - 7*p + 22. Suppose j(z) = 0. What is z? -1, 0, 1, 2 Let n be 2 + 45/(-20) + 1/4. Let t(m) be the third derivative of 0*m + 0*m**5 + 1/160*m**6 + 8*m**2 + n + 0*m**3 - 1/32*m**4. Let t(j) = 0. Calculate j. -1, 0, 1 Let q(k) be the second derivative of -1/120*k**5 - 1/12*k**3 - 5/2*k**2 - 1/24*k**4 + 0 + 3*k. Let l(a) be the first derivative of q(a). Factor l(d). -(d + 1)**2/2 Suppose -5*j = 5*d + 45, -2*j + 3*j = -5*d - 29. Let f(l) = -4*l - 12. Let x be f(d). Solve 2*k**3 + 0*k**5 - x*k**3 - k**4 - 3*k**5 - 8*k**4 = 0. -2, -1, 0 Suppose -5574*f = -5490*f - 168. Let -58/3*x - 88/9*x**f - 4 + 284/9*x**3 - 44/3*x**4 + 2*x**5 = 0. What is x? -1/3, 2, 3 Let n(q) be the third derivative of -1/96*q**4 - 9*q**2 + 1/480*q**6 + 0*q**5 - 1/1680*q**7 + 0*q + 1/48*q**3 + 0. Determine z so that n(z) = 0. -1, 1 Let r(n) be the third derivative of n**6/24 + 5*n**5/4 - 55*n**4/8 + 85*n**3/6 - 68*n**2. What is k in r(k) = 0? -17, 1 Suppose -3*p + 4*m = 4 - 12, 5*p + 4 = -2*m. Find i, given that 1/2*i**4 + 1/2*i**2 + 0 + 3/4*i**5 - 7/4*i**3 + p*i = 0. -2, 0, 1/3, 1 Factor 0 - 52*g - 1/2*g**2. -g*(g + 104)/2 Let v(g) be the second derivative of -27*g - 2/21*g**3 + 0 + 4/7*g**2 - 1/21*g**4. Find q, given that v(q) = 0. -2, 1 Solve 18/5*l**2 + 2/5*l**3 - 10 + 6*l = 0 for l. -5, 1 Factor 2/3 - 23/6*f**3 - 29/6*f**2 + 7/6*f**5 + 5/6*f**4 - 2/3*f. (f - 2)*(f + 1)**3*(7*f - 2)/6 Suppose -109*h - 158 + 485 = 0. Find z such that 0*z**2 + 0*z + 3/4*z**5 + 0 + 3/2*z**h + 9/4*z**4 = 0. -2, -1, 0 Suppose -13*i + 9*i + 8 = 0. Suppose -m + 4 = 1, y + 2 = i*m. Factor 18/5*s**3 + 12/5*s**2 + 8/5*s**y + 0 + 2/5*s. 2*s*(s + 1)**2*(4*s + 1)/5 What is r in -1/4*r**4 - 1/2*r**3 + 0*r**2 + 1/2*r + 1/4 = 0? -1, 1 Let r = 64719254677/1455 - 44480577. Let i = -2/291 + r. Solve -16/5*s**3 - 8/5 - i*s**2 - 44/5*s = 0 for s. -2, -1, -1/4 Let p = 787/12 - 196/3. Let 1 - 5/4*c**2 - 5/4*c**3 + p*c**4 + c + 1/4*c**5 = 0. Calculate c. -2, -1, 1, 2 Factor 2/7*k**2 + 2/7*k**5 + 6/7*k**4 + 0*k + 0 + 6/7*k**3. 2*k**2*(k + 1)**3/7 Let h(o) = -2*o**3 + o**2 - 3*o - 1. Let j(u) = -3*u**4 - 19*u**3 + 32*u**2 + 66*u - 5. Let r(p) = 5*h(p) - j(p). Factor r(x). 3*x*(x - 3)*(x + 3)**2
Which is bigger: -1438677 or -1438678? -1438677 Is 3509519 less than 3509516? False Is -288844 at most as big as -288822? True Is -2/46993 >= -53? True Which is greater: -2876430 or -2876394? -2876394 Which is smaller: -0.2109 or -2239/35? -2239/35 Which is bigger: 0.0752235 or 2/79? 0.0752235 Which is greater: 33238 or 31107? 33238 Which is greater: -834271 or -6674165/8? -6674165/8 Is -2/8754919 < -1? False Which is smaller: 4933499 or 4933506? 4933499 Is 17009366 >= 3? True Is -47/11 at most as big as 2/228513? True Which is smaller: -99/85529 or 0? -99/85529 Is 2426/161 smaller than -15/2? False Which is smaller: -764 or -1164234/1525? -764 Is 29/13 less than 871872? True Which is greater: -779988/331 or -2355? -2355 Is 1/2 > -346184? True Are 82544 and 9210 equal? False Which is smaller: -18.8 or -8463.1? -8463.1 Is 38645/1678 greater than or equal to 24? False Is -71081350/3 >= -1/4? False Which is greater: -495684 or -10/283? -10/283 Which is smaller: -17794 or -6872? -17794 Is 86635078 greater than 86635080? False Which is bigger: -7160638 or -42963835/6? -7160638 Is 556.39 less than or equal to -946? False Which is smaller: -22/325895 or 0? -22/325895 Which is greater: 81/75698 or -34? 81/75698 Which is smaller: -578466340 or -578466341? -578466341 Which is smaller: -326105 or -326280? -326280 Is -917460045 != -917460046? True Is -95381486 smaller than -95381486? False Is 148603 greater than -291? True Which is bigger: -1/508949 or -10? -1/508949 Which is bigger: -5173631/14 or -369545? -369545 Do -1.6 and -62021938 have different values? True Which is smaller: -19029162 or -19029159? -19029162 Is 0 at most as big as 188/336537? True Which is greater: 7144 or 7340? 7340 Which is bigger: 37 or 4574217? 4574217 Which is smaller: -23 or 633274? -23 Do 442630074 and 442630073 have the same value? False Does -1 = -39/323975? False Which is smaller: -20020403 or -20020405? -20020405 Is 157/1150163 bigger than -0.2? True Which is smaller: -135031/228 or -591? -135031/228 Does -51 = -13104? False Which is bigger: -940 or -1238? -940 Which is greater: -566088 or 9? 9 Is -9486518/19 greater than -499289? False Is -4810 at most as big as -149076/31? True Is -2140941 at most as big as -2140787? True Do 1 and 1437/3190 have the same value? False Which is smaller: 5/182 or 62.64? 5/182 Are 3677864 and 25745052/7 nonequal? True Which is smaller: 123251.872 or -2? -2 Which is smaller: 8.4 or -12497123? -12497123 Which is bigger: 105/2495572 or 1? 1 Which is greater: 647 or 17989? 17989 Is -29910 greater than or equal to -0.366? False Is -4/27951 less than or equal to -212? False Which is bigger: 0 or -623/2237742? 0 Which is smaller: -42495749 or -42495748? -42495749 Which is bigger: 20658 or 20179? 20658 Is -7541/2281 != -4? True Which is smaller: 1054776 or 1054794? 1054776 Is -0.014347 greater than 89? False Does 2 = 19091/12066? False Which is greater: -828003 or 23? 23 Is 37054 smaller than -83/7? False Which is greater: -31/5373902 or 1? 1 Is 1/679718658 >= -1? True Is 19561 less than or equal to -1612? False Which is bigger: -17112/3593 or -5? -17112/3593 Do 258266395 and 258266396 have the same value? False Which is smaller: 0 or 76/1359191? 0 Which is greater: 14861/447 or 7.1? 14861/447 Which is smaller: 0.1 or 30734774? 0.1 Which is smaller: -243666 or -243677? -243677 Is -182078335 not equal to -182078336? True Is -6434093 >= -6434094? True Which is bigger: 0 or 52621146? 52621146 Which is bigger: -5925 or 2/6229? 2/6229 Is 11003210 > 11003226? False Do 961324 and 961306 have different values? True Is -4042/15 greater than -0.0581? False Which is smaller: 1 or 1/292717034? 1/292717034 Which is greater: -17/1456022 or 1? 1 Which is smaller: 14373449/45 or 319409? 319409 Is 132348106 smaller than 4? False Which is greater: -12787 or -12604? -12604 Which is smaller: -1 or -1/1326550985? -1 Is 903/40 at least -0.078? True Which is smaller: 20056 or 220606/11? 220606/11 Is 13021 bigger than 559892/43? True Is -6.4672 at most -1/218? True Which is greater: 7659524 or 7659521? 7659524 Which is smaller: 11338 or 10532? 10532 Is 151199 bigger than 150815? True Are -4 and 515136/1891 non-equal? True Is -68/1105371 equal to -1? False Is -1 <= 2/59233803? True Is -1276155 greater than or equal to -1276162? True Is 276.01 >= -19903? True Is -17365874/29 equal to -598824? False Are 9/46 and -420955 equal? False Are 21968125 and 43936249/2 nonequal? True Is 326189114 less than or equal to 326189115? True Is -16 greater than 5702376? False Is -11838 at most as big as -9668? True Is -44 greater than 277/291? False Is 0.29 >= -2385894? True Is -52574 at least 356/5? False Which is smaller: -2068506 or -80? -2068506 Is 1/22542546 equal to -0.1? False Are -1135779 and -1135761 nonequal? True Which is smaller: 25 or -19016608? -19016608 Which is smaller: 0 or 11221350? 0 Is -66/9503267 equal to 1? False Is -22815593 smaller than -22815593? False Is 0.00309016 equal to 0.3? False Which is smaller: 1.6931 or -2/7751? -2/7751 Which is smaller: 1303 or -54474? -54474 Are 0 and 2/228892647 equal? False Which is smaller: 39338 or -34/27? -34/27 Which is greater: 0 or 495/39827? 495/39827 Which is greater: -2214652 or -2214647? -2214647 Which is greater: -3696/17741 or 1? 1 Which is greater: 85351 or 85700? 85700 Is 2568/1369141 greater than 1? False Are 1/16132478 and 0 unequal? True Which is smaller: 39533 or 39088? 39088 Which is greater: -60185013 or -60185014? -60185013 Does 65964093 = 65964093? True Which is smaller: -111942 or -1343287/12? -111942 Which is bigger: 0 or -65/1544664? 0 Is 0.0545 at most 21724? True Which is smaller: 1171525 or 1171515? 1171515 Which is smaller: 2 or 16432025? 2 Which is greater: -109.0471184 or -0.1? -0.1 Which is bigger: 2295/17201 or 0? 2295/17201 Is 18745/3911 >= 4? True Which is smaller: 87/24463618 or 1? 87/24463618 Which is bigger: -20 or -950639? -20 Is -7631044/3 greater than -2543682? True Which is smaller: 0.1 or 616025563? 0.1 Which is smaller: -0.04916 or -1293? -1293 Is 155/3 greater than -1581/7? True Is 19.715 at least 650/7? False Which is smaller: -2584588 or -2584570? -2584588 Which is greater: -2 or -2668/2933? -2668/2933 Which is smaller: 20729489 or 20729491? 20729489 Which is greater: 2333 or 599932/257? 599932/257 Is 2319294 >= 32470117/14? False Is -2522776/27 >= -93436? False Which is bigger: 10490474 or 10490473? 10490474 Which is smaller: 406929610 or 406929611? 406929610 Is -353883/232 at least -1526? True Is 1 greater than 1/36212235? True Is -2704/64251 smaller than -1? False Which is smaller: 432460 or -1433? -1433 Which is bigger: -2369220 or -2369224? -2369220 Is -0.177709 at most 3565? True Is 1484 >= 27831? False Which is smaller: 313361 or 97? 97 Which is bigger: 1 or -2015/385799? 1 Which is smaller: -5748/489761 or 1? -5748/489761 Is 28 less than 8112.846? True Is -7/5491859 < 0? True Which is smaller: -5/1643 or -5.044? -5.044 Which is smaller: 25/25577 or 3/7? 25/25577 Is 1/4 > -6757863? True Is 0 less than -29/28833952? False Which is smaller: 27644/9 or 129/4? 129/4 Which is bigger: -330485/4 or -9? -9 Which is smaller: 4464981 or 4464936? 4464936 Which is smaller: 10502765 or 10502744? 10502744 Which is greater: -15228811 or -15228810? -15228810 Which is bigger: -4631817 or -2.9? -2.9 Which is bigger: -1074615 or -1074613? -1074613 Which is bigger: -2386569 or -2386475? -2386475 Is 679 at most 659716/971? True Is -468708 equal to -468711? False Which is smaller: 0 or 244/180261? 0 Is 1260/17 smaller than 1216? True Is -35/32 != 0.00064? True Is -1135 less than or equal to 0.013015? True Which is smaller: 25 or -5665253? -5665253 Are 19555704 and 19555701 nonequal? True Which is greater: 23638 or 23643? 23643 Is 125722822/15 < 8381522? True Is 67415135 <= 67415147? True Which is bigger: 168910 or 6? 168910 Which is bigger: -38 or -1119643? -38 Is -131245 at least -119448? False Is -389434905/8 not equal to -48679363? True Is -166302491 less than or equal to -166302490? True Which is bigger: 44 or -114761? 44 Is 0 bigger than 326283/22? False Are 4850631/137 and 35406 unequal? True Is 1276/3185 greater than 0? True Are 667044 and 667038 non-equal? True Which is bigger: -249650 or -249658? -249650 Is 0 > 2/13256251? False Which is smaller: -1 or -2035/315857? -1 Is -4/2796435 greater than -1? True Is -70921 at most as big as -70739? True Is 240718 <= 240782? True Which is smaller: -1 or 1521/13102? -1 Is -2156 less than -2050? True Which is bigger: -3263394 or -3263396? -3263394 Which is greater: 3 or -14223675? 3 Which is smaller: 1107976 or 1107929? 1107929 Is -492/1077601 less than -1? False Is 33294/727 greater than 47? False
Suppose -137*b - 72510 = -132*b. Is (-7)/(-35) - b/15 composite? False Let a(w) = -6*w**3 + 2*w**2 - 10*w + 7. Let h be a(-10). Let m(i) = i + 17. Let k be m(7). Suppose -17*n + k*n = h. Is n composite? True Is (87702/(-9))/((-38)/57) a prime number? False Let y(b) be the second derivative of 347*b**4/6 + 5*b**3/6 + 3*b**2 - 61*b. Is y(-1) composite? True Suppose 0 = 17*s + 30972 - 2446. Let a = 5579 + s. Is a composite? True Suppose -5*j = -j - 4*k - 204, 3*k - 9 = 0. Is 13998/15*135/j a composite number? False Let q(d) be the second derivative of d**5/20 - 7*d**4/12 + 4*d**3/3 + d**2 + 43*d. Let y be q(5). Let j(l) = l**3 + 24*l**2 - l - 1. Is j(y) a prime number? True Suppose 3*p - 3*r = 237, 0*r - 4*r - 16 = 0. Suppose -o = -4*w - 189, 4*o - 5*w - 795 = -28. Suppose 4*q - o = p. Is q a prime number? True Let b(p) = p**3 + 27*p**2 - 25*p + 44. Let v(a) = -2*a**2 + 8*a + 15. Let c be v(7). Is b(c) a composite number? False Let x(w) = 652*w**3 - w + 2. Let j be (-6)/(-10) + 24/10. Let t be 4 + (-3)/3*j. Is x(t) prime? True Suppose 11*t - 16*t + 208524 = 3*k, 2*k + 5*t - 139021 = 0. Is k a prime number? False Let s be ((-413)/35 + -7)*-5. Suppose s*m = 85*m + 2358. Is m prime? False Let o(y) = y**3 + 3*y**2 - 13*y + 4934. Is o(0) composite? True Let q be 9/3 + -2 + 5. Suppose q*r = 1 + 41. Let v(w) = -w**3 + 10*w**2 - 6*w - 2. Is v(r) prime? True Let r(x) = -x**2 - 2*x. Let y be r(-2). Suppose 2*o - 8*o = y. Is 1496/8 + (0 - o)/(-2) a prime number? False Let s(p) = 7021*p - 1695. Is s(22) a composite number? False Suppose 35*u - 156943 - 374347 - 582795 = 0. Is u a prime number? False Let r(s) be the second derivative of -1/12*s**4 - s**2 + 20/3*s**3 - 21*s + 0. Is r(15) a composite number? False Let u be -1 - 2/(-6)*3. Let p be (1 + u)*(-4)/2. Let t(v) = -16*v**3 - 2*v**2 - v - 3. Is t(p) a prime number? False Suppose 7*a - 6*a = 242. Let o = 130 - a. Let c = o + 491. Is c composite? False Let h(n) = 95*n**2 - 316*n + 23. Is h(9) a prime number? False Suppose -905780 = 70*n - 4*n - 2530106. Is n composite? False Let r(v) = -4999*v**3 - 2*v**2 - 3*v + 8. Let h be r(2). Is 1/(4 - (-159985)/h) a composite number? True Suppose 5*z = 3*g + z + 18, -6 = -3*g - 4*z. Let k be (g - (-80)/36) + 175280/18. Is k/12*4/3 prime? False Is ((-4)/((-8)/(-845862)))/(255/(-85)) prime? True Let x = 251 - 203. Let j = x + 749. Is j prime? True Let z(k) = 93922*k**2 - 46*k - 47. Is z(-1) prime? False Let i = 33811 + -16762. Is i composite? True Let k = 4005 - 2334. Let o be 314 + (2 - 2)*9/(-9). Suppose k - o = x. Is x composite? True Let c(k) = 171*k**2 + 25*k + 171. Is c(-10) composite? False Let a be -1 - (-1822)/(1 + (-32)/36). Suppose -29681 = -10*d + 48259. Let q = a - d. Is q a prime number? False Suppose 3*h = -21, 0 = -5*s + 5*h + 770707 + 2028023. Is s a prime number? True Let u(n) = -n**3 - 9*n**2 - 15*n - 1. Suppose 3*s + 1 = 2*b - 3*b, 3 = b + 5*s. Let h be u(b). Suppose 5*x - h = 1289. Is x a prime number? False Let q(a) = -377*a + 64. Let f be q(-5). Is f/(-2)*52/(-26) composite? False Let f(l) = l**3 - 16*l**2 - 16*l + 16. Let x be f(17). Let n be x/22*(4 + 0). Suppose 0 = 10*s - n*s - 2036. Is s a composite number? False Suppose -9 = 3*q, 0*q + 204103 = 2*r - 3*q. Is r composite? True Let o = -358 + 349. Is 3 + o + -4 + 11123 prime? True Suppose 23*m + 14*m = -20*m + 901455. Is m composite? True Is -14*10/(-315) - (-3497502)/54 composite? True Suppose -n - 3*n + 4 = 0. Let j(a) = -a**3 - 6*a**2 + 9*a + 4. Let z be j(-7). Is (4/z)/n - (-628)/20 composite? False Suppose -4 = -4*x + 2*x - 4*y, -68 = -4*x + 4*y. Suppose 3*o + 5*z - x = 0, o + 4*o - 2*z - 51 = 0. Is (o + -7)*(-1346)/(-4) a prime number? True Let r(o) = -7*o**3 + 3*o**2 - 13*o - 8. Let d(p) = -2*p + 29. Let n be d(19). Is r(n) a prime number? False Suppose -h = -2*n + 19, 3*n - 2*n - 3*h = 12. Let p(b) be the third derivative of 35*b**4/12 + 16*b**3/3 + 7*b**2. Is p(n) composite? True Suppose -5*u = 293 - 383. Suppose 3*o = b - 266, b + 19*o - 270 = u*o. Is b composite? False Let s = -24 - -48. Suppose -34*w + s = -30*w. Is (-8)/(-12)*2241/w a prime number? False Let w(b) be the third derivative of -17*b**4/3 + 17*b**3/6 + 24*b**2. Let h(f) = 137*f - 16. Let y(c) = -5*h(c) - 6*w(c). Is y(3) a prime number? False Let l(n) = -7*n**2 + 2*n + 5. Let f = 8 + -14. Let r be l(f). Let s = r - -596. Is s composite? False Let c = 44 - 41. Suppose w - t = 1836, -6*t + 5536 = c*w - 2*t. Let r = w - 881. Is r prime? False Let d be -5*40/50 - (-5 - -1). Suppose d = 4*q + 3*q - 54887. Is q a prime number? True Let n = -54 - -58. Suppose -2*g + 18 = 4*q, 0 = -n*g - 3*q + 4*q + 27. Let z(b) = 10*b**2 - 17*b. Is z(g) a composite number? True Let v be (6 + 8/(-16))/((-4)/(-4440)). Suppose 0 = 6*r - 44439 + v. Is r a prime number? True Suppose 21112 = 4*z + 4*d, 4*z - 5*d = 24542 - 3466. Suppose -3*x = -j - 5795, 3*j = -4*x + 2444 + z. Is x composite? False Let m(b) = -5 + 9*b**2 - 7*b**2 - b - 2*b. Let a be m(4). Is 6/a - (-17)/(-5) - -116 a prime number? True Suppose -139*m + 75441 = -138*m. Is m a composite number? True Is ((-297033)/22 - (-4 - -1))/((-66)/44) composite? False Let k = -7104 + 4124. Let p be 10/(-55) - (-99510)/22. Let g = p + k. Is g composite? False Let r(z) be the second derivative of -7*z**4/12 + z**3/6 - z**2/2 - 5*z. Let c be r(2). Is 0 + 6/(-4)*7596/c a composite number? True Let c = 50 + -61. Let x = 15 + c. Suppose -q - x*q = -3*b - 361, 4*q - 280 = -2*b. Is q a prime number? True Suppose 0 = 2*u - 216 - 1132. Let p = u + 2195. Is p a composite number? True Let c(m) = 16*m + 192. Let q be c(-10). Is -2 - ((-7818)/14 + q/(-56)) a composite number? False Suppose -8*a = -7*a - 5. Suppose -3*j - 5*o + 17938 = 0, -5*j - 7*o + 29903 = -a*o. Is j a prime number? True Let z = 261082 + -47291. Is z prime? True Let m(l) = 134*l**2 + 556*l - 65. Is m(-18) a composite number? False Let h = -833 + 2767. Is h a composite number? True Let k = -22 - -23. Is 75/(-15) + (k + 0 - -707) prime? False Suppose 2*z - g = 4, -2*z + 24 = 3*z + g. Let o(q) = 2781*q + 17. Is o(z) a prime number? False Let z be (8/10)/(-2)*-10 - 8. Is 1 + 33/(-22) - 31366/z prime? True Let v = -176 - -356. Suppose 5*o - 480 = v. Suppose 2087 = 7*t - o. Is t a composite number? False Let h(t) = -42*t + 67. Let w be (-30)/3*(0 - (-2 + 0)). Is h(w) composite? False Suppose 16 = 37*n - 33*n. Suppose -n*r - 3*k + 4335 + 4369 = 0, 0 = -4*r + k + 8720. Is r a prime number? True Is (-1595)/638*(880937/(-5) - 1) a prime number? True Suppose a = 2*w - 42, -2*w - w + 4*a = -68. Let z(g) = -w*g + 63 - 31 - 17. Is z(-7) prime? False Suppose 143835 = -5*z + 1240990. Is z a prime number? False Let j(y) = 21*y**2 + 7*y + 32. Let c be j(-5). Suppose 10*q = 8*q + c. Suppose q = z - 260. Is z a composite number? False Let n(h) = 13*h - 21. Let a be n(2). Let x be ((-16)/(-90) + 10/45)*-5. Is 494 - (x - -7)/a a composite number? True Let w = 405366 - 96685. Is w prime? True Is 180494/(-3)*(4 + (-7 - (2 + -2))) a composite number? True Suppose 8*k - 2*s - 1040970 - 140198 = 0, 0 = -s + 4. Is k a composite number? False Let d be (7/(-2) + 2)/(27/(-288)). Suppose 3*c + 7 - d = 0. Suppose -3*t - 5999 = -5*h, -2*h + c*t - 3609 = -5*h. Is h a composite number? False Let o(i) = -567*i - 73. Let q = -82 + 80. Is o(q) composite? False Suppose 0 = -3*n - n + 16, 19 = 3*m + 4*n. Let j be 0 + m + (-11)/((-66)/12). Is (1 - (-3 + j))*907 a prime number? True Suppose -5*f = 5, -4161 + 15439 = v + 5*f. Suppose 0 = -3*s + 31926 + v. Is s composite? True Is 4670919/(-396)*(-8)/6 prime? True Let a be 7 - 3 - (0 + 2). Let v be 12*(4/6)/a. Suppose 5*n - 1736 = -2*z, -v*n - n + 1727 = -z. Is n composite? True Let f = -983 + 4370. Let m = 57 - 52. Suppose -2025 = -3*r - 3*i, 3*i + f = m*r + 5*i. Is r a composite number? True Let j(w) = -54*w**3 - w**2 - 6*w - 8. Let h be (-18)/8 - 63/84. Is j(h) prime? True Let q(o) = o**2 + 10*o + 13. Let k = -71 - -62. Let s be q(k). Is (3957/4)/(3/s) a composite number? False Let i = 96 + 57. Suppose -5*g - w - 4*w = 2035, -2*g - 5*w - 823 = 0. Let m = i - g. Is m a prime number? True Let v = -20933 - -32130. Is v a composite number? False Suppose 223*y - 220*y - 30102 = -3*r, -2*r = -4*y + 40154. Is y prime? True Let r = 79 - 8. Is r/(-6 - 39/(-6)) a composite number? True Let q(c) = c**3 - 7*c**2 + 6*c - 21. Let s be q(7). Let j = -17 + s. Let o(l) = 158*l + 3. Is o(j) a prime number? False Let v(j) = 4*j**2 + 34*j - 109. Let k(p) = -p**2 - 11*p + 36. Let h(d) = 7*k(d) + 2*v(d). Let q be (-1 + 1 - 20/(-4))*4. Is h(q) prime? False
What is the third smallest value in 0, 3, 4/15, 0.058, -4/31? 0.058 Which is the smallest value? (a) 0.0292752 (b) 0.1 (c) -4 (d) 1/7 c Which is the fifth smallest value? (a) 0.16 (b) -546 (c) -1 (d) -7.7 (e) -0.5 (f) 4 a Which is the biggest value? (a) 1/7 (b) 36 (c) -1/5 (d) 2 (e) 98/15 b What is the smallest value in 0.62, -7, -486? -486 What is the smallest value in 3/5, 3/11, -5, -0.1, 0.8, 76, 0.2? -5 Which is the second smallest value? (a) -22/123 (b) 0.17 (c) -16 (d) 1/49 a What is the third smallest value in -15829, -5, 7, 1/5? 1/5 What is the third biggest value in -1/5, -2/3, 5.9, 1.2, -13, 2/3, 1? 1 What is the smallest value in 846, 0.0522, -10? -10 What is the second biggest value in 1591, -120, -117/11? -117/11 Which is the third smallest value? (a) 3/5866 (b) -0.1 (c) 1/16 c What is the smallest value in 880, -0.3, 0.5, -12, -0.4, -3, -1/7? -12 What is the third biggest value in 1/2, 4905, 10, -2/9, 1/11, -0.5, -0.3? 1/2 Which is the fourth biggest value? (a) 4 (b) -0.1 (c) -1.317352 (d) 3 c Which is the third smallest value? (a) 4173 (b) -2/9 (c) -19.9 a Which is the seventh biggest value? (a) 5 (b) 0.5 (c) 1/3 (d) 1/415 (e) 11 (f) -3/10 (g) 9 f Which is the second biggest value? (a) 1 (b) 3 (c) 0.1 (d) -21035 (e) -1/7 (f) -13 a Which is the second smallest value? (a) 12 (b) -2 (c) 1/3 (d) -3867 b What is the second smallest value in 1/12, -0.01, -25/6019? -25/6019 What is the second biggest value in -0.4, 12353, 0.074, -0.3, -3? 0.074 What is the third biggest value in 2/17, 0.05, 1902/239? 0.05 What is the biggest value in 0.049, 0.4, -221726? 0.4 What is the third biggest value in -0.5, 3/2, 267, -5, -0.01? -0.01 Which is the smallest value? (a) -24 (b) 1 (c) 0.41 (d) 7.6 (e) -4 (f) 0.3 (g) 2 a What is the third smallest value in -0.4, -1/3, 331, -226004? -1/3 What is the third biggest value in -84/23, -9941, -1.7? -9941 What is the fourth smallest value in -0.5, 203/31, 0.043, -5? 203/31 Which is the third biggest value? (a) -15230 (b) -0.025 (c) -7/3 a Which is the fourth biggest value? (a) -2/5 (b) 0 (c) 18/809 (d) 1/48 (e) 0.13 b What is the second biggest value in 198, 2/3, -125/3, 0.1, 0, 50? 50 Which is the second smallest value? (a) 96 (b) 4/9 (c) -113 (d) 3/8 (e) -4 (f) -5 f Which is the third biggest value? (a) 1 (b) 0.01 (c) 4 (d) -132047 (e) 0.5 e What is the smallest value in -2, -24705, 0.1? -24705 What is the sixth biggest value in -1/2, 2, -49, -1/4, -1.8, 713, 0.3? -1.8 What is the biggest value in -1/7, 19, 0.18, -2873, -5? 19 Which is the biggest value? (a) 58/7 (b) -0.7 (c) 267 (d) -3 c What is the second biggest value in 1, 83523, -5, 482? 482 What is the third smallest value in 4, -0.2, 0, -0.020733? 0 What is the fifth smallest value in 4858, 2, 0.28, -5, 1? 4858 What is the third biggest value in 14171/44, -97, -4? -97 What is the fourth smallest value in -78, -2, 0.5, -112, 0, 0.7, -0.2? -0.2 What is the fourth biggest value in -3, 103281, 2/19, -0.4? -3 What is the fourth smallest value in -0.4, -0.041, -64, 56/25? 56/25 Which is the fourth biggest value? (a) -0.9 (b) 0.4 (c) 532 (d) 0.2 (e) 1 (f) 3 (g) -1.72 b What is the second smallest value in -2, -0.3, 0.5, 3/5, 1023.9, -14, 1/6? -2 What is the smallest value in -2761/52, 19, 0, 2/9? -2761/52 What is the second smallest value in -90, -1, 116, -3.2, -3, -54, 0.1? -54 Which is the third smallest value? (a) 12 (b) 0 (c) 3575 (d) -3/113 (e) 0.4 e What is the fourth biggest value in -168, 2/15, 5, -5? -168 What is the second biggest value in 192, -438, -5, 0.1? 0.1 What is the fourth smallest value in 3, 0.086, -1/2, 0.5, -1/5, 54.8? 0.5 Which is the second smallest value? (a) -2/89 (b) -3.8 (c) -5 (d) 0.2 (e) 0 (f) 0.1 (g) -6 c Which is the fifth biggest value? (a) -0.04 (b) -3/2 (c) -1/4 (d) 3422 (e) 6 b What is the biggest value in 5, 39816, 2/7? 39816 Which is the second smallest value? (a) 4/5 (b) 5 (c) -1.55 (d) 1 (e) 503 (f) 0.1 (g) -1 g Which is the fifth smallest value? (a) -193 (b) -2/11 (c) -2/9 (d) -4 (e) 27 (f) 3 f Which is the fifth smallest value? (a) -2/3 (b) -21461 (c) 37 (d) -5 (e) -3/7 c What is the third smallest value in -9, -0.1, 26771359? 26771359 Which is the third smallest value? (a) -1 (b) -1413 (c) 6 (d) 3 (e) -2/5 (f) 0.213 e What is the biggest value in -2/17, 4, 32850, 0? 32850 Which is the fifth biggest value? (a) 1 (b) 0.4 (c) -3/8 (d) -54.4 (e) -3 (f) -1 (g) -2 g What is the smallest value in 5/14, 42/29, -2/7, 1, 2/33, -0.4? -0.4 What is the fourth smallest value in 5, 71, 6.6, -3/167, -5? 6.6 Which is the fourth biggest value? (a) 1/6 (b) 586 (c) 2/5 (d) -788 d Which is the smallest value? (a) -77413 (b) 13/11 (c) -3 (d) -4 a What is the fourth smallest value in -32, 5089, 0.032, 1? 5089 Which is the smallest value? (a) 0 (b) -3/8 (c) 6 (d) -185/4 (e) -5 (f) 67 d What is the second biggest value in -1/4, 23.7662, -2, 0.1? 0.1 Which is the second smallest value? (a) 50502 (b) -133/3 (c) -5 c What is the second smallest value in -5/27, 3/28, 20, 0.2, -2? -5/27 What is the sixth biggest value in -1, -6, -3, -98, 1.41, 2? -98 What is the second smallest value in 7, 120, -21440? 7 Which is the second smallest value? (a) 119 (b) 18 (c) 0.1 (d) -0.61 (e) 5/6 (f) -0.09 f Which is the second smallest value? (a) -5 (b) 28 (c) -2/7 (d) -1.541 (e) -4 e Which is the fourth smallest value? (a) 1/6 (b) -656 (c) -0.5 (d) 5 (e) -0.3 (f) -2 (g) 0.208 e Which is the smallest value? (a) -17598429 (b) -0.3 (c) -3 a What is the biggest value in 90.34, -3.1, 0.13, -4? 90.34 Which is the smallest value? (a) -11632 (b) 15 (c) 2/49 a Which is the biggest value? (a) -94 (b) 5 (c) 57/4 (d) 0 (e) 143 (f) 2 (g) 0.3 e Which is the second smallest value? (a) -1 (b) 9365/4 (c) 0.4 (d) 0.5 c Which is the smallest value? (a) 0.025 (b) -9 (c) -2/8651 b What is the biggest value in 0.04, 18/259, -21033? 18/259 Which is the third smallest value? (a) 4/9 (b) 0.5 (c) -438 (d) 0.3 (e) 1/6 (f) 338 d Which is the smallest value? (a) 3 (b) 2.46395 (c) 6/5 (d) 0.3 d Which is the seventh biggest value? (a) -21 (b) -2/15 (c) -24 (d) 4 (e) -1/6 (f) -0.8 (g) 2 c What is the fourth smallest value in -0.3, 2127, 8.9, -0.5? 2127 What is the second biggest value in -348, -2/5, -29, -3, 710? -2/5 What is the fourth smallest value in 28113/2, 2, 22, 1/2, -0.2, -4? 2 What is the biggest value in -5, 9227, -8.1, 2? 9227 What is the fifth smallest value in 5, 48, 0.5, -0.1, -21.5, -7, -0.03? 0.5 What is the third smallest value in 1/5, 0.4, 1, 0.053, 156? 0.4 Which is the second smallest value? (a) -1/2 (b) 37.45 (c) -0.34007 c Which is the second smallest value? (a) -41 (b) -0.1698 (c) 434 b What is the biggest value in -2.103, 95/4, 3/7, 0, -3? 95/4 Which is the smallest value? (a) 3/2 (b) 1713 (c) 2 (d) -3 (e) -0.5 (f) 0.045 d Which is the second smallest value? (a) 0.04 (b) 1/14367999 (c) -4 b What is the third biggest value in 2/15, 9517, 1/5, 24, -4, -0.04? 1/5 What is the third smallest value in 65/4, 0, -0.4, -63, -0.6? -0.4 What is the smallest value in -0.2, 109, -1/85, 2/9, -1/4? -1/4 What is the smallest value in -100/9, 1/14, 54, 1.5, -1/2? -100/9 What is the fourth smallest value in -230, -1, -25805, -4? -1 What is the second biggest value in -17, 0.0961757, 2? 0.0961757 What is the biggest value in 87/8, -2/3, 0.4, 0.29, 17, -0.3, -4? 17 What is the smallest value in -4, -3/7, 34, -101, -19/2, -1? -101 What is the fifth biggest value in 1.5, 24/11, -43, 2/7, 0.242, -2/3? -2/3 Which is the smallest value? (a) 1/3 (b) -3.2 (c) -0.1 (d) 3 b Which is the biggest value? (a) -0.2 (b) 0.3 (c) 997 (d) 21 (e) 1/2 (f) 2.3 c Which is the second smallest value? (a) 1/2 (b) -0.1 (c) 2045679 a Which is the fifth biggest value? (a) 19 (b) -2 (c) 3 (d) 1/370 (e) 25 b Which is the smallest value? (a) 1/1299685 (b) -8 (c) -4 b Which is the second smallest value? (a) 2343/8 (b) -741 (c) -38 c What is the smallest value in 1/9, -548, 15, -1? -548 Which is the fourth biggest value? (a) -1 (b) -9/68 (c) -7 (d) 7.1 c Which is the biggest value? (a) 4192.7 (b) -24/11 (c) -2/3 (d) -2/7 (e) -5 (f) 0.4 a What is the second smallest value in 69, 449, -2658? 69 Which is the biggest value? (a) 4 (b) 19 (c) -0.1 (d) 1 (e) -1436/13 (f) 1/4 b Which is the fourth biggest value? (a) -2/9 (b) 1 (c) -1 (d) 2538/11 (e) 4 (f) -74 a
Calculate the highest common divisor of 12576 and 12288. 96 Calculate the highest common divisor of 1112 and 122876. 556 What is the highest common divisor of 596 and 82546? 298 Calculate the highest common factor of 10311 and 15099. 21 What is the greatest common divisor of 15529 and 848? 53 What is the greatest common factor of 96637 and 902? 41 What is the greatest common divisor of 1550078 and 74? 74 Calculate the greatest common factor of 360506 and 4. 2 Calculate the highest common factor of 42 and 2365230. 42 What is the highest common factor of 336973 and 1587? 529 What is the greatest common divisor of 258 and 664522? 86 What is the greatest common factor of 80726 and 1784? 446 What is the highest common divisor of 116 and 53969? 29 Calculate the greatest common factor of 48 and 5281728. 48 Calculate the greatest common divisor of 345 and 2390. 5 What is the greatest common divisor of 64 and 10680? 8 Calculate the highest common factor of 102 and 575076. 102 Calculate the greatest common divisor of 902115 and 270. 45 Calculate the highest common divisor of 1650 and 11814. 66 What is the greatest common factor of 477302 and 1030? 206 Calculate the greatest common divisor of 247909 and 173. 173 Calculate the highest common factor of 10 and 5516930. 10 Calculate the highest common divisor of 5640 and 3560. 40 Calculate the greatest common factor of 6103 and 32113. 17 Calculate the greatest common factor of 10138 and 148. 74 Calculate the highest common factor of 2378 and 319. 29 Calculate the greatest common factor of 955800 and 540. 540 Calculate the greatest common divisor of 5142087 and 414. 207 What is the greatest common factor of 187060 and 235? 235 Calculate the greatest common divisor of 12 and 10571844. 12 What is the greatest common divisor of 1021722 and 130? 26 What is the highest common divisor of 3300 and 20295? 165 What is the greatest common factor of 27346 and 8954? 242 What is the greatest common factor of 2847 and 1404? 39 What is the highest common divisor of 164 and 1324? 4 What is the highest common factor of 1590302 and 406? 406 Calculate the highest common divisor of 15 and 45165. 15 Calculate the greatest common divisor of 14190 and 88. 22 Calculate the greatest common factor of 300 and 25170. 30 Calculate the greatest common divisor of 3692 and 1196. 52 What is the highest common divisor of 6710425 and 25? 25 What is the highest common factor of 832 and 29696? 64 What is the greatest common factor of 54 and 3248775? 27 What is the greatest common factor of 550 and 1408? 22 What is the greatest common factor of 750 and 9525? 75 Calculate the highest common divisor of 12 and 10156764. 12 Calculate the highest common divisor of 1976 and 1159. 19 What is the greatest common divisor of 42 and 107247? 21 Calculate the greatest common divisor of 1103 and 8441259. 1103 Calculate the greatest common divisor of 350 and 42847. 7 Calculate the greatest common factor of 129857 and 273. 91 Calculate the highest common factor of 21063 and 96033. 357 What is the greatest common factor of 44 and 709962? 22 Calculate the highest common factor of 23355 and 345. 15 Calculate the greatest common divisor of 3664 and 730052. 916 What is the greatest common factor of 7564 and 4148? 244 Calculate the highest common divisor of 30 and 118242. 6 What is the greatest common factor of 34060 and 39? 13 Calculate the highest common divisor of 124223 and 759. 253 Calculate the highest common factor of 5819 and 253. 253 What is the greatest common divisor of 2094318 and 18? 18 Calculate the greatest common factor of 8896 and 6784. 64 Calculate the highest common divisor of 6 and 309462. 6 What is the highest common factor of 5344 and 416? 32 What is the greatest common divisor of 103 and 2433169? 103 What is the highest common factor of 300311 and 4048? 253 Calculate the highest common divisor of 37 and 157805. 37 Calculate the highest common divisor of 255102 and 323. 17 What is the highest common divisor of 872 and 4791204? 436 Calculate the highest common factor of 151598 and 5296. 662 Calculate the greatest common divisor of 81 and 2784. 3 What is the greatest common divisor of 5253 and 27501? 309 What is the highest common factor of 7660 and 1340? 20 What is the greatest common factor of 1209 and 462423? 39 What is the greatest common factor of 265379 and 116? 29 What is the highest common divisor of 234936 and 4056? 312 What is the greatest common factor of 3540 and 2130? 30 Calculate the greatest common divisor of 9 and 3998898. 9 Calculate the highest common divisor of 792 and 239877. 99 Calculate the greatest common divisor of 1218 and 2977401. 609 Calculate the greatest common factor of 23138 and 828. 46 What is the greatest common divisor of 1938 and 41344? 646 What is the highest common factor of 27 and 64818? 9 Calculate the highest common factor of 27 and 4818069. 27 Calculate the highest common factor of 11525 and 14291. 461 Calculate the highest common divisor of 159282 and 846. 18 Calculate the greatest common factor of 28611 and 1089. 99 What is the highest common divisor of 10622 and 43616? 94 What is the greatest common factor of 80 and 7340? 20 Calculate the greatest common divisor of 57248 and 96. 32 Calculate the highest common factor of 90 and 10170. 90 What is the highest common factor of 48 and 69040? 16 What is the highest common divisor of 4009 and 399? 19 What is the highest common factor of 15201 and 567? 27 Calculate the highest common divisor of 2072 and 5402. 74 Calculate the highest common divisor of 86 and 52202. 86 What is the highest common factor of 11205 and 144? 9 What is the highest common divisor of 2154 and 1151313? 1077 Calculate the highest common divisor of 212733 and 27. 27 Calculate the highest common divisor of 4611 and 7105. 29 Calculate the highest common factor of 100 and 106980. 20 What is the greatest common divisor of 10 and 44090? 10 Calculate the highest common factor of 21870 and 980. 10 What is the highest common factor of 2750 and 5830? 110 What is the greatest common divisor of 1935282 and 12? 6 Calculate the greatest common factor of 133 and 14383. 19 Calculate the greatest common divisor of 456 and 65607. 57 What is the greatest common divisor of 143028 and 18? 18 What is the greatest common factor of 110 and 19085? 55 What is the highest common divisor of 49 and 7588? 7 Calculate the greatest common divisor of 86 and 642936. 86 What is the greatest common divisor of 2233 and 90937? 77 What is the highest common divisor of 96 and 1002? 6 What is the greatest common divisor of 2520 and 645? 15 Calculate the highest common divisor of 18 and 85818. 6 Calculate the highest common factor of 684 and 16948. 76 Calculate the highest common divisor of 910 and 3441620. 910 What is the highest common factor of 204221 and 221? 17 What is the greatest common divisor of 968 and 98104? 8 What is the highest common divisor of 330 and 672738? 66 What is the greatest common divisor of 6028 and 31784? 548 What is the greatest common factor of 14048 and 29413? 439 Calculate the greatest common factor of 33 and 21604. 11 Calculate the highest common factor of 679536 and 135. 27 What is the highest common factor of 28770 and 411? 411 Calculate the greatest common divisor of 19935 and 630. 45 What is the greatest common divisor of 2553 and 15346083? 2553 Calculate the highest common divisor of 27648 and 2208. 96 Calculate the greatest common divisor of 267486 and 654. 654 Calculate the greatest common divisor of 299043 and 1043. 149 Calculate the greatest common factor of 5080 and 464185. 635 What is the highest common factor of 462 and 49566? 66 Calculate the greatest common divisor of 71892 and 48. 12 What is the greatest common factor of 3000 and 7608? 24 What is the greatest common factor of 74 and 181966? 74 What is the greatest common divisor of 170 and 28730? 170 Calculate the highest common divisor of 9192 and 2488. 8 What is the highest common factor of 192 and 68064? 96 Calculate the highest common factor of 48 and 1392. 48 What is the greatest common factor of 7294773 and 1461? 1461 Calculate the greatest common factor of 6187 and 6992. 23 Calculate the highest common factor of 12256824 and 114. 114 Calculate the highest common divisor of 4275 and 4446. 171 Calculate the highest common divisor of 663380 and 5740. 820 Calculate the greatest common divisor of 8931 and 5694. 39 Calculate the greatest common factor of 176712 and 152. 8 What is the greatest common factor of 8 and 257048? 8
Let r(i) = 9*i - 63. Let g be r(17). Let f = -85 + g. Solve -5*p + 4*p - t = -f, 0 = -3*p - 4*t + 18 for p. 2 Let t(x) = -3*x**2 - 15*x + 5. Let g be t(-5). Solve -2*p + 6*b + 20 = 2*b, -4*p - 25 = g*b for p. 0 Let w(y) = 5*y**2 + 0*y**3 - 297*y + 301*y + 7 + y**3. Let u be w(-3). Solve -2 + 1 = 5*a - 2*g, -a = 4*g - u for a. 1 Suppose -2*g = m - 3, -3*m - 1 - 8 = -3*g. Suppose -11*y = 5*y - 48. Let b be 16/y - (-5)/(-15). Solve 18 = 5*h - 5*z + 43, h = -g*z - b for h. -5 Let a be (-8)/(-12)*(225/30 + 0). Suppose 0 = 5*l - 29 - 26. Solve 4*s - 5 + 13 = -y, -4*y + a*s = l for y. -4 Let f = -246 + 249. Solve 0 = -2*a + 6*a + f*r, 2*a + 26 = 5*r for a. -3 Suppose -o - 28 = -s - 0*o, 2*o = -3*s + 59. Suppose s = 5*m - 2. Suppose -u - 9 = -3*u + 3*j, -10 = -5*u - m*j. Solve 0 = 2*i - 2*n, 4 = -3*i + u*n + n for i. 4 Suppose 41*r = 33*r + 24. Solve 3*b = -q - b - 24, 0 = -3*q + 3*b + r for q. -4 Suppose -8*y + 11*y = -24. Let u = -5 - y. Solve -4*k - u*n = 8, 2*n + n = 0 for k. -2 Let o be (72/(-10))/((-80)/200). Solve 5*a = -3*n - 2*n, 5*n - o = a for n. 3 Let q(w) = -w**3 + 3*w**2 + 15*w - 39. Let p be q(4). Solve -a + 13 = 5*t, 22 = 4*a + p*t - 0*t for a. 3 Suppose -h + 15 = 8*n - 4*n, -3*n - h + 11 = 0. Solve 5*a + s = 0, 0 = -n*a + 3*a + s for a. 0 Let u = 32 + -27. Suppose -t - 16 = -u*t. Solve 3*g - 4 = -d + 4, -5*g - 15 = -t*d for d. 5 Let c(o) = -2*o**2 + o. Let b be c(1). Let k be 5 + -3 + -1 + b. Solve -4*u + 8 = i, -2*u + 2*i + k = 6 for u. 1 Suppose 25 = 2*c + 21. Solve -7 = -i + c*i + j, 3*j + 29 = -5*i for i. -4 Suppose 0*a = 5*a - 5*y - 5, 13 = a + 2*y. Solve 0 = 2*w + h - 3*h, a*w - 4*h = 3 for w. 3 Suppose 8 = 4*k - 20. Suppose 0*v + 28 = k*v. Solve -3*u + v = 3*q + 13, 0 = 3*u - 3 for q. -4 Let d = -94 - -149. Let u = d + -37. Solve 5*s = -0*s - 4*y + 28, -2*s = 5*y - u for s. 4 Let j(o) = -2*o**2 - 2*o + 13. Let y be j(0). Suppose -14*g + 28 = -y*g. Solve -g = 4*s - 4*b, 0*s - 5*s - 2*b - 14 = 0 for s. -4 Suppose 129*y - 127*y + 2*v = -4, -25 = 5*v. Solve -d + 16*x - 17*x + y = 0, -4 = 4*x for d. 4 Let p(w) = w**3 + 5*w**2 - 3*w - 5. Let r be p(-6). Let b = r + 20. Let f = 6 + b. Solve 2*v = -0*v + f*z, v + z - 5 = 0 for v. 3 Let k be (-10)/15 - (-50)/3. Suppose -5*u - 1 = -k. Solve 3*n - 4*i = -u*i - 19, 0 = 3*i - 12 for n. -5 Let v(u) = 2*u**2 - 5*u. Let q be v(4). Let x(a) = -2*a + 27. Let g be x(q). Solve -2*c - 5*n = 2*c + 33, n + 11 = -g*c for c. -2 Suppose -5*o + 76 = -7*o. Let u = -26 - o. Solve u = 2*l + 4*g - 4, -8 = -2*g for l. 0 Let v = 83 + -75. Solve 5*g + 5*h = 10, 2*g + 3*h = 6*g - v for g. 2 Let q = 32 - 14. Suppose q = 7*v - v. Solve v*h - 1 = -4*j + 10, h = 3*j - 5 for h. 1 Let g be (-70)/(-5)*(-150)/(-175). Solve -5*x - 3*z + 4*z = g, -4*x + 4*z = 16 for x. -2 Let f be (4 + -2)/((-1)/(-4)). Suppose f = 4*j - 2*j. Let m = -5 - -5. Solve -3*w + j*s + 4 = -m*s, -2*w = -s - 6 for w. 4 Suppose 0 = -5*n + 3*t + 3, -3*t = 4*n + 1 + 2. Suppose r - 13 = 5*h, 0*r - 2*r - h + 15 = n. Let k be -1 - 2/(-2)*r. Solve 2*m - 3 = -y, m - k = 4*y + y for m. 2 Let a be (-14)/(-175)*-5*(0 - 10). Solve 2*q - u - 2*u = 11, a*u + 12 = 0 for q. 1 Let o be (-2)/(-1)*(10 - 68/8). Solve -5 = o*p + 5*h + 3, -p - 4 = 3*h for p. -1 Let y be -2*4/6*-9. Suppose 3*p = -0*p + y. Solve 3*t + 4*c + 4 = 36, -p*t + 6 = -2*c for t. 4 Let k(o) = 12*o + 4. Let x be k(4). Let u = -47 + x. Solve -3*c - 2*q + 5 = 0, -u*q + 16 = -q for c. -1 Let g be (-4 + 10)/(3/(-2)). Let q = 6 + -3. Let i be (g + q)*1 - -1. Solve -3*l - 2 + 6 = -4*r, i = 3*r + 3 for l. 0 Let f be ((-4)/6)/(2/(-15)). Suppose f*c + 4*c = 9. Solve 4*z - 2*j = -8, 1 + c = -z - 5*j for z. -2 Let c(g) = -2*g - 6. Let f be c(-5). Let b be 130/35 + 14/49. Solve 4*j - f = -3*w, 0 = -5*j + 6*j + 2*w + b for j. 4 Suppose -5*a + 14 = -16. Let y = -4 + a. Solve y*b + 0*r - 3*r + 2 = 0, -3*b - r = 3 for b. -1 Let f be (-21 + 11)/10 - -4. Solve 0 = f*j + k + 12, 4*j - 2*k - 3 = 3*k for j. -3 Let l(y) be the third derivative of y**4/12 + 5*y**3/3 + 28*y**2. Let c be l(0). Solve 3*h + 4*j + 26 = -2*h, -h - 2*j = c for h. -2 Let l = 204 + -199. Solve d = -l*s - 30, 3*d + d + 15 = s for d. -5 Let v = 143 - 141. Solve 0 = -w - d + v, -4*d - 2 = -w - 15 for w. -1 Let a be 121/(-825)*-35 + 4/(-30). Solve -a*m = -25, -t + 6*t - m = -5 for t. 0 Let v(p) = 35 - 13*p - p - 33 + p. Let o be v(0). Solve -2*r - 2*r = -n - 10, o*r - 10 = 3*n for n. -2 Let r = 25 + -17. Suppose r*m = 5*m + 12. Solve 0 = -3*q - q + m*a, 3*q + a - 8 = 0 for q. 2 Let g = -234 + 239. Let m = -4 + 7. Solve g*q - 2 = m, -5*q - 10 = 5*j for j. -3 Let t = 172 - 169. Solve -13 = 2*z - t*r - 5, 3*r = 12 for z. 2 Let x be 12/(-64)*-2 - 74/(-16). Solve -2*a + y + 0 + x = 0, 2*y = 10 for a. 5 Let q(z) = -z + 1. Let h be q(0). Let m be -2*-10*h/(-4). Let i(r) = -r**2 - 5*r + 3. Let d be i(m). Solve 5*w + d*p = -5, 0 = -w + 5*p + 43 - 16 for w. 2 Let q(t) = t**3 - 8*t**2 - 18*t - 14. Let d(r) = r**3 - 9*r**2 - 17*r - 14. Let g(j) = 5*d(j) - 4*q(j). Let n be g(14). Solve -h = 4, -3*b + n*h = h + 19 for b. -5 Let h(d) = d**2 + 4*d + 3. Suppose 3 = -3*q - 6. Let s be h(q). Solve -5 = 3*r - 2*p + 4*p, 2*p - 4 = s for r. -3 Suppose -j + 47 = 22. Suppose -4*a + 13 = -2*d - d, 3*a + 5*d = 17. Solve 5*u + 5*m = -j, 12 = -a*m + m for u. -1 Let c(v) = v**2 + 24*v - 20. Let f be c(-25). Solve 3*b = -2*m + 17, -b + f*m = -0*m for b. 5 Let k be (1/4)/(33/528). Solve -6*s = -3*s - 5*t - 24, -k*t = 4*s for s. 3 Let l be (-3 + 2)*-3 - 1. Suppose -2 = w + l*r, -4*r = -r + 12. Let p be (-15)/w*8/(-10). Solve -p*a - a = -4*n - 6, -2*n - 2*a + 4 = 0 for n. 0 Let t = 12 - 19. Let r(n) = n**2 + 4*n - 3. Let v be r(t). Let o be 4*-1*v/(-24). Solve -4*i + 12 = 2*y, 3*i - o*y = -2*i - 7 for i. 1 Let z(l) = 2*l**2 + 2*l + 1. Let k be z(-2). Let j = -6 - -10. Suppose 2*v - 3*d - 16 = j, 0 = -2*v - 2*d + 10. Solve -k*y + g + g = -v, 5*y - g - 6 = 0 for y. 1 Suppose 6*b - 24 + 0 = 0. Suppose 0 = j + 3*j - f - 17, 2*f - 14 = -b*j. Solve j*d - 10 = -2*h, -3*d = h + h - 8 for h. 1 Suppose d = -2*d + 9. Let j(g) = -2*g + 30. Let p be j(11). Let q(n) = n**3 - 9*n**2 + 7*n + 19. Let b be q(p). Solve -l = 3*z - b, -3 = -d*z + 3 for l. 5 Let h(a) = a**2 - 2*a - 1. Let b be h(3). Let l be 996/108 + b/(-9). Solve 13 + l = 3*w + 2*n, -5*w = 2*n - 30 for w. 4 Let l = -12 + 18. Suppose -4 = -2*a - 18. Let n = -2 - a. Solve -n*b - 23 - l = 2*u, -2*u - 3*b - 19 = 0 for u. -2 Let k(b) = 5*b. Let p be k(1). Let s = p - 2. Suppose -5*y = s - 13. Solve 0 = y*a + 3*u + 5, -4*a + 3*u = -4 + 23 for a. -4 Let b = -32 + 34. Suppose 4*j - 2*c = b*c + 20, 0 = -j + 5*c + 9. Solve 4 = -4*d + 2*l, 0*d = -4*d - 2*l + j for d. 0 Suppose 5*g = 9 + 6. Let y be (-3)/g + 3 - 0. Suppose 5*v - 2 = 23. Solve -28 = -4*x + v*j, 2 = -j - y for x. 2 Suppose -46 = -4*q - 3*k, -25 = -2*q + 3*k + 7. Suppose 3*h - f - f - q = 0, 3*f - 6 = -4*h. Solve 0*u = -h*o + 4*u + 16, o - 3*u - 12 = 0 for o. 0 Suppose -5*f + 27 = -k + 7, -3*f = 2*k - 12. Solve f*d - 13 = -14*b + 13*b, -b + 17 = 5*d for b. -3 Suppose -1 - 9 = -5*o. Suppose 18 = 3*a + o*l - 0*l, 4*l = -3*a + 24. Let f = 7 - a. Solve -f*x + 4*s = 23, 0 = 2*x + 3*s - 5*s + 12 for x. -1 Suppose -55 = -13*s + 8*s. Let q be (-26)/(-7) - (-2)/7. Suppose -3 = 5*u + 2*v - 0*v, -q*u - 4*v = 12. Solve -i + 1 = -3*c, -2*c - s = -3*i - u for i. 4 Let t be 28/(-70) - 22/(-5). Solve 4*a + 2*j + t = 0, -3*j + 2 = 2*a - j for a. -3 Suppose -7*y + 8*y = 0. Suppose 0 = -3*c - y*c + 6. Let o = -4 + 7. Solve -o = 2*a + 2*r + 5, c*a + 7 = -r for a. -3 Suppose 40*v - 52*v + 60 = 0. Solve -2*r + 15 - 1 = v*b, b + 8 = 5*r for b. 2 Let d be (-10)/((-2 + 2 - 2)*1). Solve -4*f = g + 18, 2*g - 3*g - 22 = d*f for g. -2 Let b = 583 - 580. Solve 2 = 2*x + o - 1, 0 = -4*x - b*o + 5 for x. 2 Let y be 5/(-10)*-116*1. Suppose -y*q + 6 = -56*q. Solve 3*f - q*x = 21, 2*x - 5 = f - 17 for f. 2 Let g be 3*1 + 0/3. Let w(b) = -b**3 - 20*b**2 + 71*b + 48. Let p be w(-23). Solve 7 = -0*n + p*n + l, -g*n + 7 = 5*l for n. 4 Suppose -21*g = -18*g - 15. Solve g*p = j - 17 + 3, 4*j - 14 = -p for j. 4 Let k = -10 - -15. Let r be k/20*12/3. Solve -5 = h - x, -h = 2*x - r - 9 for h. 0 Let l = -12 - -10. Let q be 44*(-3)/(-6)*l. Let m be (q/6)/((-14)/21). Solve 17 = 4*p - v, -3*p - v = -m - 0 for p. 4 Let r be 21/6 - (-1)/2. Suppose 3*p = -4*j - 13, -2*p - 2 - 1 = -3*j. Let b be (j - 2) + 1 + r. Solve 0*z - b*z - 5*g = 1, -5*z = g - 9 for z. 2 Suppose 4*f + 0*u - 20 = -u, f - 5 = -u. Solve -7*y + 2*y = -5*d - 5, 4*d + 8 = f*y for y. 4
What is the derivative of 43*f**2*k**2 - 100291*f*k**3 - 39331751*k**3 wrt f? 86*f*k**2 - 100291*k**3 Differentiate -131285124*c*j + 21292731*c with respect to j. -131285124*c Differentiate a**3*w**3 - 402*a**3*w + 35*a**3 - 5300*a**2 + 26*a + 14404*w with respect to w. 3*a**3*w**2 - 402*a**3 + 14404 What is the first derivative of 39523*z**2 + 2*z - 2412440? 79046*z + 2 Differentiate -19626298*i**2*j - i*j**2 - 92466695*j**2 wrt i. -39252596*i*j - j**2 What is the derivative of 1816*b**2*s*w + 19368*b**2*w**2 + 14*s*w**2 - 6*w**2 wrt s? 1816*b**2*w + 14*w**2 What is the first derivative of 138130151*f + 65246945? 138130151 Find the third derivative of 466394*h**5 - h**4 - h**3 + 5135985*h**2. 27983640*h**2 - 24*h - 6 What is the second derivative of 7860248*p**2 - p - 3336503 wrt p? 15720496 Find the first derivative of 168*g**2*m**3 - 81727*g**2*m - 16145991*g**2 wrt m. 504*g**2*m**2 - 81727*g**2 Find the third derivative of 380*b**6 + 10*b**5 + 88*b**3 - 16932*b**2 - 940*b wrt b. 45600*b**3 + 600*b**2 + 528 Find the third derivative of -70743752*f**4 + 223066086*f**2 wrt f. -1697850048*f Find the first derivative of -10770931*g*k + 2405*k + 1877 wrt g. -10770931*k What is the second derivative of 1384363*l**3 + 16*l**2 + 4*l + 23396058? 8306178*l + 32 Differentiate -178644*b*i**4 + 28*b*i**2 + 2789162*b - 2*i**2 + 6 wrt i. -714576*b*i**3 + 56*b*i - 4*i Differentiate -28212*h**2*j - 1468*h**2 + 2835*h + 1982*j - 2 wrt j. -28212*h**2 + 1982 Find the second derivative of 7981877*j**5 + 7270493*j. 159637540*j**3 Find the second derivative of -d**3*y**2 + 18*d**3 - 147978337*d**2*y**3 - d**2*y - 6463103*d wrt y. -2*d**3 - 887870022*d**2*y Find the second derivative of -23595843*n**4 - 5*n**2 + 12123510*n - 2 wrt n. -283150116*n**2 - 10 Differentiate -2*a*g*t - 41825123*a*g - 8922645*a*t + 3*g*t + 6*t with respect to g. -2*a*t - 41825123*a + 3*t What is the second derivative of 353541969*z**2 - 1758*z - 72132? 707083938 What is the first derivative of 30*f**3*v - 18*f**3 - 1729*f**2*v - 3022*f**2 + 36*f*v + 1 wrt v? 30*f**3 - 1729*f**2 + 36*f Differentiate -i**2*o**2 - 2872829*i**2*o - 16900*o**2 + 119 with respect to i. -2*i*o**2 - 5745658*i*o What is the third derivative of 325290*d**2*g**5 + 6*d**2*g**2 + 550*d**2 + 26*g**3 + 10*g**2 - 6 wrt g? 19517400*d**2*g**2 + 156 What is the third derivative of 19928155*z**3 + 2993*z**2 - 1599? 119568930 What is the third derivative of 21351023*x**4 + 1120*x**2 + 6? 512424552*x What is the derivative of -47*c**2 - 28621*c - 17395145 wrt c? -94*c - 28621 What is the first derivative of 51697*n**4*o**2 - 1086*n*o**2 + 2030*o**2 - 1196*o + 4 wrt n? 206788*n**3*o**2 - 1086*o**2 Find the third derivative of 5709545*n**5 + n**2 + 109*n - 1436. 342572700*n**2 What is the derivative of 3471830*l - 2475743? 3471830 Differentiate 2*c**3 - 3104206*c**2 + 19582892 wrt c. 6*c**2 - 6208412*c What is the second derivative of -29839019*c**2*x - 13964220*c*x wrt c? -59678038*x What is the first derivative of 359999944*v*w - 1664128*w - 18 wrt v? 359999944*w Differentiate -2*a*l**2 - 50275*a + 3965610*l**2 - 163 wrt l. -4*a*l + 7931220*l What is the second derivative of -3*f*g**2 + 52140592*f + 15486031*g**2 + 2*g - 3 wrt g? -6*f + 30972062 Find the first derivative of 34*t**3 - 59244*t**2 + 73106047. 102*t**2 - 118488*t What is the first derivative of -2748132*l*n**2*z + 18*l*n**2 - 615762*n**2*z + 31*n - 2*z wrt l? -2748132*n**2*z + 18*n**2 What is the second derivative of 9774017*o**4 + 8858593*o? 117288204*o**2 What is the second derivative of 4686*l**2*n**2 - l**2*n - 369*l*n**5 - 4736467*l*n wrt n? 9372*l**2 - 7380*l*n**3 Find the second derivative of 8227986*g**3 + 674516*g. 49367916*g What is the first derivative of 106*c**2*t + 2*c**2 + 4*c*t + 148*c + 130964*t + 65 wrt c? 212*c*t + 4*c + 4*t + 148 What is the second derivative of -56521*h**3 - 61*h**2 - 2396576*h - 2 wrt h? -339126*h - 122 What is the second derivative of -119313373*m**2*o**2 - 7*m**2*o + 44*m**2 + m*o - 619*m + 2*o**2 - 2*o - 2 wrt o? -238626746*m**2 + 4 What is the first derivative of -10776825*g - 13781128 wrt g? -10776825 Find the first derivative of 386460*h**3 + 17*h**2 - 4*h + 621279035 wrt h. 1159380*h**2 + 34*h - 4 Differentiate 10*i**2*m**2 + 2588431*i**2 - 2*m**2 + 230*m + 2845 wrt i. 20*i*m**2 + 5176862*i Find the third derivative of -2*c**5 + 24769633*c**4 + 3*c**2 - 5751763*c - 19 wrt c. -120*c**2 + 594471192*c Find the second derivative of -421383624*w**5 - 311*w + 252164 wrt w. -8427672480*w**3 Find the second derivative of 70037437*o**2 - 71485798*o. 140074874 Find the second derivative of -259*r**4 + 345*r**3 - 2362*r - 8. -3108*r**2 + 2070*r What is the second derivative of -410759023*f**2 + 549416626*f wrt f? -821518046 Find the third derivative of -254817415*o**3 + 3148*o**2 + 13466*o wrt o. -1528904490 What is the third derivative of -3708681*k**3*p**3 - 3142*k**3*p - k**2*p**3 + 596*k*p**2 - 1 wrt p? -22252086*k**3 - 6*k**2 Find the third derivative of 6*f*u*z**2 - 113*f*u*z + 717*f*z**3 - 2*f*z**2 - 2639*u*z**3 + 2*z**3 - 4*z**2 + 65 wrt z. 4302*f - 15834*u + 12 What is the first derivative of i**2*y - 72548418*i**2 - 36076631*i*y**2 wrt y? i**2 - 72153262*i*y What is the second derivative of 6*h**5 - 97076*h**2 + 16387872*h? 120*h**3 - 194152 Differentiate -28233860*k + 25174102 with respect to k. -28233860 What is the first derivative of -29502930*f**3 + 94930182 wrt f? -88508790*f**2 Differentiate -2*d**3*s - 8*d**3 + 103*d**2 + 5695*d*s + 17*d - 153*s + 210 wrt s. -2*d**3 + 5695*d - 153 Differentiate -192677342*p**2*y + 2*p**2 - 77816274*p with respect to y. -192677342*p**2 Find the third derivative of -53056976*j**4 - 99260969*j**2. -1273367424*j What is the second derivative of 197004*n**3 + 9*n**2*x - 4*n**2 + 5*n*x - 3*x - 289898 wrt n? 1182024*n + 18*x - 8 What is the first derivative of a**4*n - 15722*a**2*n + 6*a + 7256619*n wrt a? 4*a**3*n - 31444*a*n + 6 Find the third derivative of 7482632*s**3 + s**2 + 6424193*s. 44895792 What is the derivative of 139343845*d - 152035052 wrt d? 139343845 Differentiate 4*a*q**2 + 478*a*q + 20847128*a + 15*q**2 + 3*q with respect to q. 8*a*q + 478*a + 30*q + 3 Find the third derivative of -260039*i**6 + 16*i**5*v**3 + 197*i**2*v**3 - 3*i**2 + 11*i*v - 2*v**3 + 5*v wrt i. -31204680*i**3 + 960*i**2*v**3 Find the second derivative of -26*k*u*x**2 - 21*k*u*x - 1033*k*x**2 - k*x + 238*u*x**2 - 1077*u*x + 3*x + 3 wrt x. -52*k*u - 2066*k + 476*u Differentiate -1542694*b**3*t*u + 83759216*b**3*u**2 - b**3 - 14*t*u**2 with respect to t. -1542694*b**3*u - 14*u**2 What is the second derivative of -556767*w**3 - w**2 - 1553753*w - 2 wrt w? -3340602*w - 2 What is the first derivative of 79949265*p*w**2 - 6945319*p wrt w? 159898530*p*w Differentiate -51207263*u**4 - 64619238 wrt u. -204829052*u**3 What is the third derivative of 60641375*z**4 - 13*z**2 - 30265*z? 1455393000*z What is the second derivative of 2*m**3*u*w - m**3*u - 12990*m**3*w**2 + 2*m**2*u*w - 19484*m**2*u - 2*m*u*w**2 - 762*m*w**2 - 18*u + 8 wrt w? -25980*m**3 - 4*m*u - 1524*m Find the first derivative of -91817245*q**2 + 154907133 wrt q. -183634490*q Differentiate -q**2*x + q**2 - 8952664*q - 56565685*x - 5 with respect to x. -q**2 - 56565685 What is the second derivative of 91979020*l**5 + 5375341*l - 5 wrt l? 1839580400*l**3 What is the second derivative of 521517*c**3*n - 3*c**3 + 12*c**2*n - c*n - 41644*c - 10*n + 4 wrt c? 3129102*c*n - 18*c + 24*n What is the third derivative of -2900*y**4 + 711*y**3 + 1675838*y**2 wrt y? -69600*y + 4266 What is the second derivative of 2*r**5*s**2 - 32610*r**2*s**2 + 26*r**2 + 1957*r*s**2 + 2*r - 2*s**2 - 84 wrt r? 40*r**3*s**2 - 65220*s**2 + 52 Find the second derivative of h**3 + 17569896*h**2 + 911590716*h. 6*h + 35139792 What is the first derivative of 19618541*k**2 + 28963952? 39237082*k Find the third derivative of 25989970*a*w**3 - 12234*a*w**2 - 677*w**2 wrt w. 155939820*a Find the second derivative of 607943*b**3 - 4*b**2 - 16903741*b. 3647658*b - 8 Find the second derivative of 45*k**2*n**2 - 459*k**2*n - k**2 + k*n**2 + 2307*k*n - 3235*n**2 wrt n. 90*k**2 + 2*k - 6470 Differentiate -2*g*o*p + 20811*g - 587*o*p - 1839*o + 7*p wrt g. -2*o*p + 20811 Find the second derivative of -34*q**4 + 2*q**3 + 155928*q**2 - 21924038*q. -408*q**2 + 12*q + 311856 Find the third derivative of -183*c**2*h**3*n + 4*c**2*h*n - 80*c*h**2*n - 94558*h**3*n - 2*h**2 - 16681*h*n wrt h. -1098*c**2*n - 567348*n
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Let i = -68 + 70. Suppose i*t + 5*w + 81 = 0, 136 = -4*t - 3*w - 19. Which is smaller: -36 or t? t Let u = 22 - 0. Let k be (-2)/(-5*(-2)/100). Let q = u + k. Is q > 2? False Let x(b) = -b**2 + 16*b + 3. Let u be x(13). Let p be 12/u - 153/(-28). Which is greater: 6 or p? 6 Let r be 3/(-1)*(-336)/63. Is r greater than 15? True Let z(r) = 2*r**3 - 2*r**2 - 6*r + 6. Let u be z(3). Let o be -2 + 3*(-4)/u. Let v be -1 - (1/(-1) + 3). Is o bigger than v? True Let u be 54/(-15) - (-161)/23. Do u and -1.2 have the same value? False Let f = 21 + -2. Suppose y - 3*o = 35, -3*y + f + 46 = -o. Is y < 22? True Let w = -158/7 + 2742/119. Which is greater: 1 or w? 1 Let o(t) = -11*t + 46. Let d be o(11). Let v = d + 76. Is 4/9 at least as big as v? False Let f be 13/2*(0 - (4 + -2)). Let i be 3/(-15) - f*6/(-10). Suppose 3*b + 6 = -24. Is b equal to i? False Let p = -546 + 511.1. Let y = p + 35. Is 3/5 less than y? False Let y = 2326 + -2199. Let q be (-1)/3 + 385/3. Is q bigger than y? True Let h(z) = -z**3 + 11*z**2 + 13*z - 20. Let f be h(12). Let k be 15/6 + 12/f. Which is greater: -3/17 or k? k Let o = -2.5 - -13.5. Let a = -36 + o. Which is smaller: 0.1 or a? a Let l = 7678 - 130562/17. Let k = l + 3581/1683. Which is bigger: 0 or k? k Let d be 30/210 + (-4689)/42. Do -112 and d have the same value? False Let f(u) = -13*u - 23. Let n be f(-2). Let m be (n/(-3))/((-5)/(-2)). Which is bigger: m or 3/4? 3/4 Let g = 0.02 - -2.98. Let r be 5845/(-84) - ((-4)/(-6) + 0). Let i = r - -69. Are i and g non-equal? True Let b = -55 - -59. Suppose -4*t - 78 = -5*l, -9*t = -b*t - 4*l + 102. Is t bigger than -21? False Suppose h + 5*i + 5 = 0, 0 = -3*h - 5*i - 9 + 4. Let o be ((-3)/(-21))/(3/(-2985)). Let w = 142 + o. Does h = w? False Let w = 45 - 41. Let o be 1/(4/6*(-147)/w). Which is smaller: 1 or o? o Let x = 555/2212 - 1/1106. Is 931 >= x? True Let a = -317 + 289. Which is greater: a or -16? -16 Let o(f) = f**2 - 3*f + 2. Let n(b) = -b. Let y(v) = 2*n(v) + o(v). Let r be y(5). Suppose 4*q = r*q - 4*x - 8, -4*x = -q - 4. Is q at least -2? False Let u(f) be the second derivative of f**3/3 - 13*f**2/2 - 4*f + 4. Let t be u(6). Which is greater: -10/3 or t? t Let l = -708 + 705. Is l equal to -2/587? False Let t(w) = -2*w**3 + 0*w**3 + 2 + 10*w**2 + 9*w + 3*w**3. Let a be t(-9). Does a = 5/3? False Let h = -293 - -253. Is -41 not equal to h? True Let p be (312/20)/(-5 + 3). Which is greater: -9 or p? p Let m = 23 + -17. Suppose v - 2*i = -m*i - 14, 3*v = -3*i + 3. Let w be (-1)/v - (-6)/12. Is 1 bigger than w? True Suppose o + 5*j - 62 = 3*j, -4*o + 2*j + 288 = 0. Suppose -o = -4*k + 2*m, 4*k + m - 73 = -0*k. Is 18 equal to k? True Let b be 2/4*1/(-2). Let n = 0.55 - 1.55. Let a = n + 0.8. Is a at most as big as b? False Suppose -5*j + 7*j = 3*i + 3085, -5135 = 5*i - 5*j. Which is greater: i or -1032? i Let q = -14 + 20. Let j = q - -3. Is j equal to 2? False Suppose 4088 = 25*f - 18*f. Let k = f - 2323/4. Which is bigger: k or 3? k Suppose 4*b = -b, -3*w - 3 = -2*b. Let h be ((-21)/(-4))/(1 + 66/(-48)). Let j be (-6 - (-100)/15) + h/30. Are w and j unequal? True Suppose 4*m - n - 31 = -9, -2*m - n + 8 = 0. Suppose 0 = -m*q + 5. Suppose -3*d - 5*r - 5 = 0, 0 = 4*d + d + r + q. Which is greater: 2/45 or d? 2/45 Let t(o) = -o**3 + 5*o**2 - 8*o + 28. Let i be t(5). Does i = -67/6? False Suppose x - 30*x - 7221 = 0. Is -251 greater than x? False Let l = 102.1 + -114. Let q = l - 4.1. Is -0.1 equal to q? False Let u = 0.19 + -0.1. Let y = 0 + u. Let r = y + 0. Which is smaller: r or 1? r Suppose -3*x - 12 = -4*l, 3*x - 3 = x - l. Do x and -1/1071 have the same value? False Let s = 528256/351 - 1505. Is s greater than -1? True Let j be 4 - (3 + -4 - -6). Let q be 4/14 + (-308)/49. Let g be q/33 - 8/(-165). Is j equal to g? False Let z = 757 + -1097. Is -340 less than z? False Let v = 32632/693 - 518/11. Is v less than 0? True Let j be 2/(-7) + 4/14. Let t(o) = -o**3 + o + 7. Let y be t(j). Suppose -8*h + 290 = 242. Which is smaller: h or y? h Suppose r - 4*r - 3 = 0. Let o be 2*75/(-6) - (37 + -39). Which is smaller: o or r? o Let k = -2/9085 - -345264/154445. Is k at most 3? True Let s(m) = -m**2 - 5*m + 5. Let q be s(-5). Let o = 0.4392 - 0.0392. Which is greater: o or q? q Let c = 62.7 + -60. Let i = c - 1.3. Let b = 1.3 - i. Is -1/2 >= b? False Let h = -31.031 + 0.031. Let t = h - -20. Let r = t + 11.2. Which is smaller: 2/27 or r? 2/27 Let m(g) = -7*g**2 + 12*g - 2. Let a be m(2). Let q be 169/a - 26/(-156). Which is greater: q or 0.2? 0.2 Suppose -4*z = r - 15, 4*z + 0*r = 4*r. Suppose -4*j + 11 = -17. Let k = z - j. Is k greater than -4? False Let m(o) = 1. Let r(t) = -2*t - 4. Let g(u) = 6*m(u) + 3*r(u). Let d(v) = -v**2 - v. Let f(y) = -d(y) + g(y). Let k be f(6). Is k less than 2/95? True Suppose -6*c - c = 3*c. Is c > -1401? True Let l = 14 + 2. Suppose o - 3*o = l. Let b(g) = 3*g**2 - 44*g + 56. Let w be b(13). Is w greater than o? False Let u be (-2)/(((-5)/(-2))/(-5)). Suppose 0 = z - u + 1. Let p be (-61)/(-21) - (6 - z). Do p and -1 have different values? True Let b(y) = -2*y + 1. Suppose 12*o = 11*o + 1. Let j be b(o). Let r be ((-6)/(-5) + -1)*-6. Which is smaller: j or r? r Let t be (-4 + 0)/(46/(-529)). Which is bigger: t or 48? 48 Suppose -4*w = 1121 - 921. Are -60 and w equal? False Let s = -149412 - -28089327/188. Let x be 97/(-47) - (0 + -2). Let y = x + s. Which is smaller: -1 or y? -1 Let x = 33 - 29. Let l be (1 - x) + (3 - 2). Which is bigger: l or 0? 0 Let w be 10/(-35) + (-39954)/(-6363) + -6. Which is smaller: 1 or w? w Let p(b) = b**2 + 3*b - 5. Let n be p(-4). Let w = -119509/55 - -2173. Which is smaller: w or n? n Let z be (-60)/(-232)*1/(1/2). Are -1/3 and z nonequal? True Suppose 4*c = 6 + 10. Suppose 0 = -5*k - s - 3*s, -c*s = 20. Suppose -3*w = -p + 2, 3*p - k = 11. Which is smaller: -3/10 or w? -3/10 Suppose -s = s. Let w = -65 - -12. Let k = -53.1 - w. Is k equal to s? False Let p = -8.1 - -8. Let z = -0.01 + -2.99. Let s = -5 - z. Which is smaller: s or p? s Let f be (-436)/(-22) + 4/22. Let u be (-1)/(5/f*2). Which is greater: -1 or u? -1 Let m = -97 - -108. Let c = 14 - 3. Let i = c - m. Which is smaller: -3/5 or i? -3/5 Suppose -772 = 39*p + 437. Which is smaller: -129/4 or p? -129/4 Let r = 1712 + -6361/4. Which is greater: r or 121? r Suppose 159*l = 157*l + 24. Let s be (24 - 2)*l/(-84). Do s and 2/5 have different values? True Suppose 8*q = 3*q. Suppose -r + 3*r - 10 = q. Suppose -5 = -5*z, r = -2*t + 5*z - 2. Is 2/15 greater than or equal to t? True Let i = -433.13 - -433. Is -1/7 less than i? True Let h be ((-2)/(-4))/(6/12). Let i be 4 - (4 - 29) - h. Is 29 at most i? False Let b = 378 - 364. Which is greater: -8 or b? b Suppose 3*n = n + 30. Let x = -14 + n. Let j be (x - 1)/(-16 + 14). Which is bigger: -1 or j? j Let o(j) = -j - 4. Let n(l) = l**3 - 10*l**2 - l + 10. Let f be n(10). Let y be o(f). Let d be (y - (-6)/(-5))*-5. Is 26 at least d? True Let n(r) = -5*r + 2. Let b be (-4)/(-16) - (-11)/4. Let w be n(b). Suppose 0*c + 6*c + 72 = 0. Which is smaller: c or w? w Let d be (12236/(-798))/((2/9)/2). Is d > -139? True Suppose -l = -19*l - 18. Which is smaller: l or -31/28? -31/28 Let k = -30.5 - 54.5. Is -2 <= k? False Let o = 137/4 + -17133/500. Which is greater: -1 or o? o Let c = 27 - 136/5. Let d = 33.7 - 33. Let z = -0.5 + d. Which is bigger: c or z? z Let y(a) be the third derivative of -a**6/120 - a**5/60 - a**4/24 - 8*a**3/3 + 3*a**2. Let i be y(0). Let p = i - -16. Is p greater than or equal to -1/10? True Let c = -14/15 - -274/165. Let m(p) = -2*p + 74. Let o be m(36). Which is smaller: c or o? c Let n be 7/(75/100 + (-10)/24). Is n < 18? False Let w = -2.8 + -39.2. Let n = w - -41.73. Let m = 1.27 + n. Which is greater: -4 or m? m Let m = -27.381 + -0.219. Let b = m + 17. Let s = 11 + b. Which is greater: s or 2/7? s Let j be -1 - 2 - 1/1*-34. Are 0 and j equal? False Suppose 2 = 3*f - 4*f. Let l be (f - -1)*(-6)/(-3). Let u be l - (0 + -6 + 2). Is 3 greater than u? True Suppose h = 2*c + 2, 0 = 2*h + h + c - 27. Let u be ((-20)/h)/(2/4). Are 1 and u equal? False Suppose 3*x = -2*m - 3*m - 28, 20 = -3*m - x. Let p be (m/10)/(54/(-45)). Let q = 231 + -2081/9. Are q and p nonequal? True Let g = 2638 - 2508.3. Let p = g - 130. Which is smaller: p or -3/4? -3/4 Let y = -355 - -2483/7. Are -15/2 and y equal? False Suppose -2*y - 4*k = -32, -y - y + 32 = -3*k. Suppose -5 = 4*g - 3*n, -y = -3*g - 3*n - 4. Let w be (-3)/(-3)*(16 - g). Is 15 less than w? False
What is g in -269*g**3 - 47880*g**2 + 1183956*g - 8800 = 0? -200, 2/269, 22 Solve 2*j**4/3 - 6838*j**3/3 - 61754*j**2/3 + 171334*j/3 + 75416 = 0. -11, -1, 3, 3428 Factor -a**2 - 381*a + 181332. -(a - 276)*(a + 657) Factor f**2/10 + 12024299*f/5 + 144583766441401/10. (f + 12024299)**2/10 Factor -3*r**2/4 - 2572218*r - 5144433. -3*(r + 2)*(r + 3429622)/4 Find g, given that g**2 + 48753634*g + 594229207051489 = 0. -24376817 Find h, given that -2*h**3/9 - 1072*h**2/3 - 27766*h - 427560 = 0. -1527, -60, -21 Suppose -343*n**4/4 + 1555603*n**3/4 - 581706279*n**2 + 277366143780*n + 14361993203184 = 0. Calculate n. -47, 10692/7 Solve -3*n**5 + 756*n**4 - 43905*n**3 - 232524*n**2 - 378804*n - 190944 = 0. -2, -1, 104, 153 Solve -3*a**3 + 49515090*a**2 - 204312060990756*a + 408623923921176 = 0 for a. 2, 8252514 What is g in -2*g**5/11 - 1264*g**4/11 + 438090*g**3/11 - 38696536*g**2/11 + 1063078912*g/11 - 1024819200/11 = 0? -900, 1, 64, 139 What is c in -2*c**3/5 - 796*c**2/5 + 45798*c/5 = 0? -449, 0, 51 Factor -m**2/10 + 23780307*m/5 + 47560616/5. -(m - 47560616)*(m + 2)/10 Factor h**2/2 - 193605185*h + 37482967658884225/2. (h - 193605185)**2/2 Suppose -8*i**5/3 + 94963*i**4/6 + 820401*i**3/2 + 685539*i**2 - 143064*i = 0. What is i? -24, -2, 0, 3/16, 5961 Factor 13*r**2/3 + 29942*r + 20727. (r + 6909)*(13*r + 9)/3 Let v**5/7 + 480730*v**4/7 = 0. Calculate v. -480730, 0 Factor 4*f**2 + 504169840*f + 15886701722851600. 4*(f + 63021230)**2 Let -12*x**2/5 + 39190083*x/5 - 9797517 = 0. What is x? 5/4, 3265839 Suppose 9*x**4 + 250980*x**3 - 46493061*x**2 + 2153806296*x - 712778832 = 0. What is x? -28071, 1/3, 92 Let -v**5/6 - 7130*v**4/3 - 25482515*v**3/3 - 456612770*v**2/3 - 1673613025*v/6 - 405669128/3 = 0. Calculate v. -7121, -16, -1 Factor 3*m**2 + 145598262*m + 1766571158118387. 3*(m + 24266377)**2 Determine b, given that 2*b**4 - 16*b**3 - 158*b**2 + 844*b + 3360 = 0. -7, -3, 8, 10 Determine a, given that -4*a**5 - 24876*a**4 - 148632*a**3 + 2986336*a**2 + 25454592*a + 38172672 = 0. -6213, -8, -2, 12 Factor -269*x**2/6 + 1116265*x/2 - 87143/3. -(x - 12449)*(269*x - 14)/6 Factor -3*m**3 + 794172*m**2 - 9529740*m + 28588896. -3*(m - 264712)*(m - 6)**2 Let -6*x**3 + 53978*x**2/3 + 94100*x + 228304/3 = 0. Calculate x. -38/9, -1, 3004 Solve 401*p**4/7 - 400*p**3/7 - 3610*p**2/7 + 3600*p/7 + 9/7 = 0. -3, -1/401, 1, 3 Let z**4 + 291*z**3 + 2733*z**2 - 21931*z - 82614 = 0. What is z? -281, -14, -3, 7 Factor 12*d**2 + 57561824*d + 38374544. 4*(d + 4796818)*(3*d + 2) Let x**4/7 - 4407*x**3/7 + 699588*x**2/7 + 1452100*x/7 - 809616 = 0. What is x? -4, 2, 167, 4242 Factor -5*r**2 - 147989695*r - 147989690. -5*(r + 1)*(r + 29597938) Factor -2*l**2 + 12104*l - 18170774. -2*(l - 3293)*(l - 2759) Find h, given that -10*h**5/7 + 80768*h**4/7 - 225906*h**3/7 - 1340132*h**2/7 - 1227224*h/7 - 193776/7 = 0. -2, -1, -1/5, 6, 8074 Find j, given that j**3/2 - 11723*j**2/2 + 52702*j + 128854 = 0. -2, 11, 11714 Factor 18*k**3/7 + 10596*k**2/7 + 1551104*k/7 + 67188032/7. 2*(k + 394)*(3*k + 292)**2/7 Factor -5*d**3 - 213655*d**2 + 854680*d - 854700. -5*(d - 2)**2*(d + 42735) Determine o so that 7*o**4/3 + 332*o**3/3 - 3484*o**2/3 - 94640*o/3 = 0. -52, -14, 0, 130/7 Let 58*j**5/7 - 42866*j**4/7 + 425776*j**3/7 - 29160*j**2/7 = 0. Calculate j. 0, 2/29, 10, 729 Suppose -2*x**4/13 - 101700*x**3/13 + 70416*x**2 - 2746332*x/13 + 2746386/13 = 0. What is x? -50859, 3 Find i, given that -2*i**3 - 8452*i**2 + 2251774*i - 107815680 = 0. -4480, 63, 191 What is m in 2*m**3/15 + 7028*m**2/3 + 897814*m/5 - 559776 = 0? -17493, -80, 3 What is i in i**5/10 - 5139*i**4/10 + 154611*i**3/5 + 1360352*i**2/5 + 2803056*i/5 = 0? -4, 0, 69, 5078 Determine t so that -2*t**4/7 + 164650*t**3 + 2*t**2 - 8067862*t/7 + 987900 = 0. -3, 1, 2, 576275 Factor 144431*l**3/2 + 288877*l**2/2 + 144461*l/2 + 15/2. (l + 1)**2*(144431*l + 15)/2 Factor -2*g**3/9 - 37462*g**2/3 - 526031954*g/3 + 20534243834/9. -2*(g - 13)*(g + 28103)**2/9 Let -m**5 - 147*m**4 - 1339*m**3 + 344127*m**2 + 345320*m = 0. Calculate m. -97, -89, -1, 0, 40 Let -7026*r**2/5 + 9695882*r/5 - 552 = 0. What is r? 1/3513, 1380 Factor -4*a**2/5 + 73441048*a/5 - 337099220708644/5. -4*(a - 9180131)**2/5 Suppose 8724*h**3 + 2971*h**2 + 21*h = 0. Calculate h. -1/3, -21/2908, 0 Factor -x**3/7 + 1028*x**2 + 580480*x/7 + 11641600/7. -(x - 7276)*(x + 40)**2/7 Find q such that -4*q**3 - 3056464*q**2 - 583867148480*q + 2335517497600 = 0. -382060, 4 Determine c so that c**2/5 + 20407*c/5 - 753594 = 0. -20590, 183 Let -20*a**5 - 16535*a**4 - 143465*a**3 - 257580*a**2 + 73620*a = 0. What is a? -818, -6, -3, 0, 1/4 Determine d so that -3*d**5/5 + 7992*d**4/5 + 713328*d**3/5 + 12926502*d**2/5 - 119924589*d/5 + 36461754 = 0. -47, 2, 5, 2751 Solve 3*f**3 + 9459*f**2 + 2087892*f - 4213644 = 0. -2914, -241, 2 What is v in v**5/3 - 15900*v**4 - 1240744*v**3/3 - 6299584*v**2/3 - 3945296*v - 7636160/3 = 0? -20, -2, 47726 Suppose -20*h**5/7 + 2703348*h**4/7 + 4325444*h**3/7 - 4866052*h**2/7 - 4325424*h/7 + 2162704/7 = 0. What is h? -2, -1, 2/5, 1, 135169 Factor -3*p**3/8 - 16551063*p**2/8 + 297919863*p/8 - 1340640477/8. -3*(p - 9)**2*(p + 5517039)/8 Suppose f**3 + 2099*f**2 + 1128567*f + 180918837 = 0. Calculate f. -1373, -363 Find r, given that -r**3/5 + 260002*r**2/5 - 3380883853*r + 108135041440 = 0. 32, 129985 Factor -4*q**3 - 46276*q**2 - 159595520*q - 140900891600. -4*(q + 1349)*(q + 5110)**2 Suppose -2*q**4 - 2016*q**3 - 626100*q**2 - 54799472*q + 289903110 = 0. What is q? -427, -159, 5 Factor 2*a**3 + 3120*a**2 + 1201816*a - 2416128. 2*(a - 2)*(a + 704)*(a + 858) Suppose -2*f**2/3 - 19716*f - 96795552 = 0. Calculate f. -23358, -6216 Determine a, given that 12*a**5 + 39764*a**4 - 816556*a**3 - 10200836*a**2 + 4016224*a + 6961392 = 0. -3334, -9, -2/3, 1, 29 Factor 8*q**3 - 3726724*q**2 + 14906800*q - 14906768. 4*(q - 2)**2*(2*q - 931673) Factor -j**2 + 3127490*j - 6254976. -(j - 3127488)*(j - 2) Factor 2*a**2 + 3679776*a + 1692593926272. 2*(a + 919944)**2 Factor -v**3 + 233196*v**2 + 233197*v. -v*(v - 233197)*(v + 1) Factor 4*l**2/7 + 1799136*l + 1416139526592. 4*(l + 1574244)**2/7 Factor -2*b**3/7 - 94134*b**2/7 - 158134986*b + 2375051490. -2*(b - 15)*(b + 23541)**2/7 Suppose -9*t**5/2 - 1335*t**4/2 - 1713*t**3/2 + 7515*t**2/2 + 1323*t = 0. What is t? -147, -3, -1/3, 0, 2 Factor -o**3 - 778414*o**2 + 3113668*o - 3113672. -(o - 2)**2*(o + 778418) Factor 2*f**3/3 + 50*f**2/3 - 6424*f/3 - 37944. 2*(f - 54)*(f + 17)*(f + 62)/3 Determine z so that 2*z**5/7 - 416*z**4/7 - 23796*z**3/7 - 44640*z**2/7 + 68850*z/7 = 0. -45, -3, 0, 1, 255 Factor -f**2/9 - 8862650*f/3 - 19636641255625. -(f + 13293975)**2/9 Suppose -i**4/5 - 9*i**3 + 105684*i**2/5 - 5724656*i/5 + 79036608/5 = 0. Calculate i. -372, 28, 271 Find v, given that -30*v**3 - 22105*v**2 - 826925*v - 407940 = 0. -2092/3, -39, -1/2 Determine w, given that 1764*w**4 - 56750925*w**3 - 15539082*w**2 + 193032*w = 0. -2/7, 0, 1/84, 32172 Factor -t**3/4 - 75977*t**2/4 - 361322260*t - 20533702800. -(t + 57)*(t + 37960)**2/4 Factor -o**4/4 - 1465*o**3/2 + 26126123*o**2/4 + 10354747455*o - 49957853839569. -(o - 3098)**2*(o + 4563)**2/4 Find d, given that 2*d**3/9 - 2048*d**2/9 + 403786*d/9 - 401740/9 = 0. 1, 265, 758 Suppose -3*x**3/2 + 118995*x**2/2 - 586796088*x - 63470205858 = 0. What is x? -107, 19886 Factor 4*d**2 - 10783996*d + 21567976. 4*(d - 2695997)*(d - 2) Solve -4*y**4/5 + 2016*y**3 - 6613812*y**2/5 + 328382424*y/5 = 0. 0, 54, 1233 Solve -4*c**4 + 54844*c**3 - 9686736*c**2 - 29444176*c - 19702592 = 0. -2, -1, 182, 13532 Determine s, given that 2*s**2/3 + 408176*s/3 - 1632736/3 = 0. -204092, 4 Solve 2*f**4/3 + 9364*f**3/3 - 339672*f**2 + 27914252*f/3 - 26904602/3 = 0. -4789, 1, 53 Suppose -3*y**5 - 141102*y**4 - 564360*y**3 + 48*y**2 + 2257488*y + 2257440 = 0. Calculate y. -47030, -2, 2 Factor c**2/2 + 5361*c/2 + 3566662. (c + 2453)*(c + 2908)/2 Factor q**2 - 165936*q - 829705. (q - 165941)*(q + 5) Find j such that 2*j**3 - 1388712*j**2 + 241066516074*j - 482127477316 = 0. 2, 347177 Determine r, given that 4*r**3 + 121002952*r**2 + 915107028541680*r - 1830214541095200 = 0. -15125370, 2 Factor -5*c**2 + 27496800*c - 37803700512000. -5*(c - 2749680)**2 Factor -w**3 + 1079*w**2 + 45740*w + 201600. -(w - 1120)*(w + 5)*(w + 36) Find j, given that -j**4/3 + 561100*j**3 + 11783141*j**2/3 + 4488824*j - 26932912/3 = 0. -4, 1, 1683307 Suppose -p**3/3 - 1072*p**2/3 - 33536*p/3 - 266240/3 = 0. Calculate p. -1040, -16 Factor -51130*g**2/7 - 17946634*g/7 - 1404/7. -2*(g + 351)*(25565*g + 2)/7
What is (5/35)/1 - (30976/56)/22? -25 What is 5 - 38 - (-61 - 13)? 41 Calculate 12065344/(-1444142) + (-4)/(-58). -58/7 Evaluate 854/(-21) - (-108)/(-81). -42 What is the value of 1336/(-1764) - (-34 + 10764/324)? 1/49 ((-8)/200)/(15 + 496/(-32)) 2/25 What is 342/27*(-24 + (-5 - -32))? 38 What is (7106/(-1007) + 7)*(0 + 1)? -3/53 Evaluate 30/(-80) - ((-9)/18 - 78/16). 5 Evaluate (352/330)/(-8) - (1561/105 + 3). -18 ((-160)/140)/(26/(-357)) + (-6)/195*-10 16 What is (183/3111)/((-15)/11985)? -47 52584/(-4695)*(-85)/8 119 Evaluate (-10353)/2023 + (-348)/(-68) + -5 + -3 + 12. 4 ((-2848)/(-267))/((-20)/(-34)) - 18 2/15 Evaluate (-88740)/18000 - 84/(-16). 8/25 Evaluate (-4)/(-3)*120/336*(-2961)/(-30). 47 2146/(-32) - (2/(-20))/(272/170) -67 What is the value of 242/(-6708)*2 + 186/7254? -2/43 Evaluate ((-167231)/8099 + (-1)/(-13) - -20)/((-4)/(-266)). -38 Calculate (-24759)/(-66810) + 8/(-17) - (-174)/40. 17/4 Evaluate 13/1 - (-36)/10*(-970)/97. -23 Calculate 4/(10/(-35) + 8/14 - (-234476)/5621). 2/21 Calculate ((-4)/6)/(27/((-274752)/(-128))). -53 What is the value of -10 - (684/(-494))/(3/78*-4)? -19 What is ((-2)/(-27))/(((-50)/(-12))/25) - 5876/14274? 2/61 What is 2755/(-76) - (-25)/4? -30 Evaluate (1368/62 + 60/(-930))/(66/165). 55 Evaluate 8228/726 + 14/6*-1 + 7. 16 What is (-1)/((-627)/(-77) + -8) + (-1)/((-30)/132)? -13/5 What is 497134/(-15576) + ((-4)/(-18) - 1312/369)? -141/4 3045/(-16240) + 922/(-32) -29 -20*(1 - (69/92 + 1/(-3 + 15))) -10/3 What is 19/95 + 20/(93800/(-1078))? -2/67 What is the value of (21 + (-10 - (-8 - -7)))/((-70)/(-21))? 18/5 Evaluate ((-3)/60)/(1/8) + 14/10*-4. -6 What is (-9)/153*-122 + (-19 - (23 - 35))? 3/17 What is (((-22)/28)/(-11))/((-64)/4480)? -5 (-25)/(22 + 20 + (-3630)/90) -15 What is the value of -26 + (-70668)/(-1040) + 4 + 237/(-60)? 42 What is 3/(-40)*(-2)/(-9)*130995/34932? -1/16 What is (-5420)/(-450) + ((-16991)/585 - -29)? 12 What is 138 - (203/(-1305)*-12 + 24/180)? 136 What is (-8)/(-292) - (-28444)/949? 30 What is 108/12 - 1*24/3? 1 28320/(-39648)*(-28)/(-85) -4/17 Calculate -41 + (-44 - -10) + 69. -6 Calculate (186/9 + -48 + 37)*3. 29 Evaluate 7/21*((-15196)/(-1537) - 10) - 16155/265. -61 Calculate ((-6090)/(-160) - 38)*-32*(0 - 46/(-4)). -23 What is the value of 119 - (-1588576)/(-13376) - (-2)/(-6)*6/4? -5/19 What is (-146)/8 + ((-5291)/148 - -36)? -18 What is (-129765)/3165 + 78 + 0? 37 What is (-1175)/(-50) - ((-19)/((-285)/90))/(-4)? 25 Calculate -73 - ((-261)/87)/((-12)/(-8)). -71 (-27)/117 - ((-10350)/234 + 2) 42 Evaluate (-39)/234 - (-9)/432*-638*-4. 53 What is the value of 22 + -15 - -7 - (8 - -21)? -15 What is ((-128)/1120)/(288/(-168))? 1/15 Calculate (-1384407)/(-731040) - 27*1*(4 - 236/60). 3/32 Evaluate (1330/(-400) - (-1648)/515)/(2/(-18)). 9/8 What is the value of (5 - 3)/(2/4 + 23835/(-546) + 43)? -13 Calculate 6 + 123/(-15) - 4704/(-720). 13/3 What is (-10242)/22191 - 684/39? -18 What is the value of 56*(4/42)/((-534)/(-3204))? 32 9/105*14*2/(-33 + 189) 1/65 Calculate (-615)/8 - 47/(-10152)*-27. -77 Evaluate (-13)/(-6)*551286/(-88478). -27/2 Evaluate ((-152)/342)/(27 + (-26630)/990). -22/5 Evaluate (-96)/(-4 - 4) + (3 - 30) + 25. 10 What is 1/(-32*4*(-5)/80 - 8778/1092)? -26 What is (24/(-2))/(115 + (-8600)/75)? -36 What is the value of (6204/28952)/(2 + 19/(-8))? -4/7 What is the value of 2*(-3)/(-12)*12/(-138)*4? -4/23 What is the value of ((21/(-5))/(38892/13890))/((-14)/(-4))? -3/7 3562*(-16)/(-416) - (-14)/((-56)/20) 132 Evaluate 13 + (-2)/81 + (-159341)/(-33372). 71/4 What is ((-858)/(-44) + -15)/(42/(-392))? -42 ((-10622)/452)/(16 + -15) -47/2 What is the value of (7 - (14 - 26)) + 9 + 19 + -6? 41 Calculate 2961/(-496) + 6 - (-47)/(-752). -1/31 (50/(-15))/((-157)/(48984/(-2210))) -8/17 Evaluate (1/(-13))/((-3)/(-2))*-87*2/(-232). -1/26 What is the value of (-1497)/39 - ((-24)/24 - 37)? -5/13 What is 1/3 + -6 + 36/84 + 34432/672? 46 What is (-65)/3*(-440)/572 + -18? -4/3 What is the value of ((-349)/((-12752460)/(-1512)))/(1/((-5)/9))? 2/87 585/119 + 79968/(-16464) 1/17 What is the value of (-63)/2*(22/(-297) - 2350/(-1269))? -56 Calculate 115 - 155 - -53 - (-76)/(-6). 1/3 What is (605/(-55) + (-42)/(-4) + (-4)/8)*62? -62 What is the value of (-4020)/(-31980) + 126/(-2583)? 1/13 156/(-9) - 16 - ((-3)/(-36) + (-105)/(-180)) -34 What is (-86)/((-5676)/(-2046)) - -3? -28 What is the value of (1 - (-551)/(-555))/(51 - (-19532)/4180*-11)? -2/111 What is 11 + 1 + (-6351 - -6336)*(-3)/((-9)/5)? -13 What is ((-128)/576 - ((-334)/126 - -2))*105/195? 3/13 Evaluate -10 + 3348/333 - (-549640)/(-10360). -53 What is the value of -9 - 330/126 - (3 + 4 + -19)? 8/21 What is the value of (77/(-539) + 1*7)*(182/28 + 4)? 72 What is (71/(-6))/(62/(-408) - 3216/218688)? 71 Evaluate 97/(3007/1364) - 104. -60 What is (22/(-4554))/((-15)/(1215/18))? 1/46 Evaluate 2*(-6509)/207 + ((-4)/(-10))/(144/(-40)). -63 What is the value of (-71)/((-4686)/264)*(-3)/27? -4/9 What is the value of 31 + (-126)/(-28)*(-14)/(1 + 6)? 22 Evaluate 4/(-1) - 58*(-33252)/(-121278) - -20. 4/41 Evaluate ((-1)/(-2)*26976/(-1405))/130 + (-4)/(-26). 2/25 What is (11 - 1752/168) + 1800/(-63)? -28 Evaluate -132*284/112464*1*(1 - -2). -1 2730/(-130) + 3047/143 4/13 Calculate -33 - (258/(-215))/(11/(1760/12)). -17 Calculate (7752/(-34))/6 + (40 - 76). -74 (-7)/4 - ((-333)/1110)/(10/825) 23 (12056*1835/64592)/(10/4) 137 ((-1460)/219)/(325/(-45)) 12/13 Evaluate (9 - 16) + -8 - ((-5383)/168 + 17). 1/24 What is 5/2*(15 - 81/1485*33)? 33 What is ((-16)/40)/(160/75)*(-1)/12? 1/64 27657/(-1317) + 3*-1 -24 Evaluate (2 - (0 - 2))/(-25 - -7212*(-30)/(-8640)). 96 What is (-1)/(1344/768*((-104)/7)/(-4))? -2/13 340/8 - (-2 - -7 - (-1254)/(-132)) 47 Evaluate 3/((-99)/(-235)) + (75 - 18942/231). 4/33 8/102*(-36)/21*2877/3288 -2/17 Calculate ((-671)/88 + 11)/(1674/(-44640)). -90 Calculate (270/21)/(-1)*(-54173)/(-15478). -45 What is the value of 468/(-58) + (-190 - 1074840/(-5655))? -8 Evaluate 8970/325*(-690)/207. -92 -11 + 6538/294 - (-4 + (-16)/((-560)/125)) 35/3 Calculate 1473395/(-30616) + 66/16. -44 What is 21*380/24*212/1007? 70 (-73996125)/2198742 + 1 + (-22)/26 -67/2 Calculate (-354)/(-3245)*4*22/(-32). -3/10 What is the value of ((-134)/(-1))/((-5)/((-110)/(-308)) + (15 - 3))? -67 (108/7560)/(2/(-8)) - (-152)/5110 -2/73 What is the value of ((14/6)/(428 + -435))/9? -1/27 Evaluate (-37 - (35 - 0)*-1)/(2/(-41)). 41 What is (47520/(-1045))/144 - 325/114? -19/6 Calculate (470/(-60) + 7 - 174/(-116))*-78. -52 Calculate (1740/(-1624))/((-55)/(-77)). -3/2 (-16)/(-24) + 4472/(-5304) -3/17 Evaluate 356/(-15) + 61632/2568. 4/15 Calculate 11 - (4*-4 + 14378/158). -64 Calculate (76/(-3))/((-22)/165*(-245)/147). -114 Calculate (-2325)/(-1705)*(20 + -9) - (-2282)/(-152). -1/76 Evaluate -30 + ((-260)/7 - 712/(-623)). -66 Evaluate (-13)/39*-32*(-1290)/(-344). 40 What is 7/(-14)*(1/(-2))/(403/(-46748))? -29 Evaluate (12 + -98 + 10)/(-77 - -75). 38 What is ((-62)/124)/((-1)/(79 - -3))? 41 Calculate -30 + (-9097236)/(-300150) + 4/(-58). 6/25 What is (210/12 + -7)/(1/2)? 21 What is 5/20 + 46170/11340*(-14)/60? -7/10 Calculate -79*(-1)/9 + (2584/14706 - 6/(-129)). 9 Evaluate -40 - (58 + (-16104)/165). -2/5 Evaluate (-95 - 46890/(-495)) + ((-4060)/231)/4. -14/3 ((-5)/(100/(-24)))/(30008/775 - 41) -10/19 Calculate 178/445*(3787/294 - 13)*2/8. -1/84 What is the value of 2/(-12)*(-318480)/(-10616)? -5 Evaluate 13818/19740 - (-20)/(-32). 3/40 Calculate (-164151)/(-468) + -345 - (-2)/(-8)*-485. 127 What is (300/504)/((-10)/(-7))*64/40? 2/3 What is the value of (-1088)/34 - -50 - -27? 45 Evaluate -75*((-10815)/(-1071) - 10) - (-6 + -1). -6/17 Calculate (-21 - (-28)/(-4)) + (-773 - -832). 31 Evaluate 45*(-69)/(-1840)*(-1952)/(-915). 18/5 What is the value of (248/12 + (-24 - -3))/((-27)/(-2))? -2/81 3*1 - 24/(204/(-8) - -25) 51 What is (-2)/((-1)/((-75)/(-35)) + 27/(81/2))? -10 Evaluate (-1)/(-2) - ((2766/1140 - 1) + (-772)/1930). -10/19 What is ((-104 - -85) + (-1284)/(-68))/((-3)/(-18))? -12/17 Evaluate (-4)/(-32) + 4375/200 + -25 - 130/2. -68 What is 14*(3 - (-41 + 45))*-1*4? 56 What is the value of ((-5311)/(-15933))/((3*4/36)/((-192)/3))? -64 -3*114/(-90)*(28 + 2) 114 Calculate 402/1407 + (-792)/(-21) - -1. 39 What is (-189)/(-36)*(-968)/605? -42/5 What is (((-144522)/(-13671))/(2/3))/(2/(-14))? -111 What is (-16)/30*-33*(-3875)/3100? -22 Calculate 92 + (19 - 95172/858). 1/13 What is the value of 3/1 - (-60)/264*(-117)/9? 1/22 What is the value of (4/(-102))/((-238788)/738072)? 4/33 What is (32 - 36) + (-98 - -134)? 32 What is ((-132)/(-462))/((-34)/((175/60)/((-45)/(-72))))? -2/51 (18*4/24 - 1*8)/(38/38) -5 What is 515/(-43) - -2*(-138)/460*-20? 1/43
Are 0 and 3059 nonequal? True Which is greater: 4 or 0.148? 4 Which is greater: -3169 or -3168? -3168 Is 0.2433 equal to -12? False Is -143 less than -425/3? True Which is bigger: 211 or 97? 211 Is -1197 greater than or equal to -1195? False Is 1/2 smaller than -18? False Which is smaller: -100/7 or -15? -15 Which is smaller: -1 or -45/751? -1 Which is greater: -113 or -111? -111 Is 28 greater than 15? True Is 35 at most as big as 176/5? True Is 2147 at least 2148? False Is 0 <= -2/20797? False Is 18 at least 75/4? False Which is smaller: -4385 or -4384? -4385 Is 173 bigger than 173? False Is 140 at least as big as -3? True Is -1507 < -1507? False Are 9/91 and -1 non-equal? True Which is smaller: -47 or -806/17? -806/17 Which is bigger: 8 or 77? 77 Is 55/91 at most as big as 2? True Which is smaller: 36 or 37? 36 Which is smaller: -1 or 6/29? -1 Which is smaller: 1/7780 or 0? 0 Are 2998 and 2998 nonequal? False Is 470 > 470? False Which is bigger: 33 or 32? 33 Which is greater: 1119 or 2235/2? 1119 Is 12 at most as big as 0.017? False Is 4 bigger than 160/59? True Which is greater: -14/71 or -1? -14/71 Which is smaller: 89 or 84? 84 Which is bigger: 2300 or 2297? 2300 Is -1 at least as big as -1/278? False Which is greater: 2 or -1.41? 2 Which is bigger: -0.05 or -1043? -0.05 Is -3/1010 at most as big as -1? False Is 11488 less than or equal to 11487? False Is -526 greater than -5? False Which is smaller: 12/2537 or 1? 12/2537 Which is smaller: 1 or 9/26? 9/26 Which is bigger: -9/4 or -3? -9/4 Is 21/19 <= 1? False Which is greater: -755 or -770? -755 Which is bigger: 8 or 65/7? 65/7 Do 120 and 226 have the same value? False Which is smaller: -2727/8 or -340? -2727/8 Is -1 at least as big as 13/28? False Which is bigger: -21 or -13? -13 Which is greater: -2 or -19/15? -19/15 Which is smaller: -110/17 or 8? -110/17 Is 147/50 bigger than 2? True Is -2909 != -2911? True Which is greater: -1 or -3/20519? -3/20519 Which is smaller: -161 or -162? -162 Are 199 and 197 nonequal? True Which is greater: 265 or 2123/8? 2123/8 Is 527 greater than 526? True Which is greater: 16112 or 16111? 16112 Is -1 equal to 1/24? False Which is bigger: 98 or 99? 99 Is -1 less than -12/229? True Is -2483 greater than or equal to -2486? True Which is smaller: 140 or 144? 140 Which is smaller: 0 or 1/13? 0 Is -1501 greater than or equal to -1504? True Is 6/13 > 0.118? True Which is smaller: 8268/5 or 1655? 8268/5 Is -99 smaller than -98? True Is -1 greater than 4714? False Which is smaller: 64 or -3? -3 Which is smaller: -1 or -5/29? -1 Which is bigger: 0 or -3/1229? 0 Is 1 greater than 2/4639? True Are 103 and 13.9 equal? False Is -197 >= -197? True Which is greater: -5767 or 2? 2 Are 81 and 163/2 nonequal? True Which is smaller: -1 or -3/41924? -1 Is 6 >= -504? True Is -1 < -809.5? False Is 178 at most 176? False Which is smaller: 0.2 or -8? -8 Is -1 at least as big as -2/84399? False Is -14570 < -14570? False Is -130 >= -126? False Is -40 >= 135? False Is 159 bigger than 0.079? True Which is smaller: -0.08 or -238? -238 Which is bigger: 1 or 4171? 4171 Which is smaller: -360 or 0.1? -360 Is -45 at most -45? True Which is bigger: 56 or -4? 56 Are 134 and 137 non-equal? True Which is smaller: -0.087 or 0.17? -0.087 Is -370 greater than -380? True Which is bigger: -12768 or -12769? -12768 Which is smaller: -2/11 or -943? -943 Which is bigger: 57 or 52? 57 Which is smaller: -36 or -357/10? -36 Are -58 and -53 nonequal? True Is 2/5043 not equal to -1? True Which is bigger: 1/16897 or 0.1? 0.1 Does -275 = 1/2? False Is -9/59 at least -1? True Is -627 >= -1? False Which is smaller: 1 or -27/340? -27/340 Which is bigger: -3/13 or -584? -3/13 Is -6606 at most as big as -6603? True Which is bigger: 2134 or 2133? 2134 Which is greater: -37421 or -0.1? -0.1 Which is smaller: -4229 or -4233? -4233 Is 4304 at most as big as 4303? False Which is bigger: 115 or 100? 115 Which is bigger: -28 or -33? -28 Are 21 and 331/15 nonequal? True Which is bigger: 24 or 176/7? 176/7 Is 1072 at least as big as 1072? True Do 2/77 and -5/4 have the same value? False Are 0 and 5/27 equal? False Is -1646 at least -1644? False Is 188 bigger than 191? False Which is smaller: 1 or 157? 1 Is 1 smaller than 8/241? False Which is greater: 1742 or 1743? 1743 Is -50 >= -48? False Are 20 and -1.4 equal? False Is -149 < -151? False Is -4/77 < 1? True Which is smaller: 4 or 65/16? 4 Which is smaller: 61 or -5? -5 Is 0.23 less than or equal to 4/29? False Is -2/18831 <= 0? True Which is greater: -10/471 or -1? -10/471 Which is smaller: 0.1 or -1784? -1784 Do 21 and -266 have the same value? False Which is smaller: -15.4 or 0.2? -15.4 Do 0.002 and -9 have the same value? False Is -0.3 != -12/25? True Which is smaller: -5880 or 3? -5880 Which is greater: -1 or 26/255? 26/255 Is -1 != 2/5173? True Which is smaller: 19 or 24? 19 Is -470 not equal to -470? False Which is smaller: 6.5 or 73? 6.5 Which is greater: -60 or -772/13? -772/13 Is 123 greater than or equal to 121? True Is -62/7 at least -8? False Is 8609 <= 8610? True Does 23 = 27? False Is -2 at most as big as -11/17? True Is -12678 not equal to -12678? False Which is greater: -10 or -221/20? -10 Which is smaller: 3 or -0.136? -0.136 Is 3496 at most as big as 3496? True Is -3 <= -45/19? True Which is greater: -1 or -11/75? -11/75 Which is bigger: -5 or -0.62? -0.62 Which is bigger: 0 or -38.7? 0 Which is bigger: 6822 or 6824? 6824 Which is smaller: -1 or 22? -1 Is -3367 > 3? False Which is greater: -5 or -25? -5 Which is smaller: 70 or 74? 70 Which is greater: -26 or -12? -12 Which is smaller: 31 or 350/11? 31 Is -302 at most -320? False Is -1 at least 10/757? False Which is greater: -2 or -89/112? -89/112 Is 40/39 greater than or equal to 0? True Which is smaller: -2/5877 or 1? -2/5877 Which is bigger: 4 or 77/18? 77/18 Is 210 bigger than 3? True Which is smaller: -1/4 or -5276? -5276 Which is greater: -1225 or -1231? -1225 Is 0 equal to 1/14243? False Which is smaller: -388 or -8? -388 Which is bigger: 37 or 12? 37 Which is smaller: -79 or -171? -171 Is 18458 <= 2/3? False Is 158/3 not equal to 54? True Which is bigger: -2/5857 or 0? 0 Are 0 and 8/257 unequal? True Do -55 and 5 have the same value? False Which is smaller: -95 or -107? -107 Which is bigger: 0 or 3/166? 3/166 Which is smaller: -271 or -67? -271 Is 14 at least as big as 0? True Is 13/330 at least as big as 0? True Which is greater: 1 or 41/6? 41/6 Is -109 smaller than -109? False Is -4 bigger than 71? False Is -357/94 smaller than -5? False Is -1.692 bigger than 0? False Which is greater: 2 or 446? 446 Which is smaller: 59/29 or 1? 1 Which is greater: 0 or 43? 43 Which is smaller: 90 or 0.3? 0.3 Is -10/19 less than -1? False Is -294 greater than or equal to -295? True Is -1/8803 greater than or equal to -1? True Which is smaller: 0 or -2/9223? -2/9223 Is 151 bigger than -1/8? True Which is greater: 150 or 744/5? 150 Which is smaller: -266 or -255? -266 Do 0 and -1/449 have different values? True Does -50 = -648/13? False Which is bigger: 1 or -4/243? 1 Which is smaller: 26/133 or 1? 26/133 Which is smaller: -2.3 or -2/9? -2.3 Which is smaller: 981 or 982? 981 Which is bigger: 0.097 or -178? 0.097 Which is smaller: 7 or -0.01? -0.01 Is -3130/33 < -96? False Which is bigger: -2.1 or -9? -2.1 Which is smaller: -68 or -343/5? -343/5 Is -626 > -0.06? False Is 155 less than 931/6? True Which is bigger: -207 or -0.4? -0.4 Which is greater: 113 or 109? 113 Which is smaller: -10/59 or -3/5? -3/5 Are -183 and -2 equal? False Which is greater: -114 or 2/5? 2/5 Are 2 and -83 non-equal? True Is -22/105 at least 1? False Do -9159 and -9160 have different values? True Which is smaller: -23 or -10? -23 Are 84 and 84 unequal? False Is -2/9 smaller than -3205? False Is 1517 greater than or equal to 1516? True Is 427/172 > 2? True Is -1838/3 <= -613? False Is 1 != -2/1693? True Is 10/337 smaller than 1? True Is -2 < -19/17? True Which is bigger: -1 or 26/901? 26/901 Is 3 not equal to 5? True Is -969 at most -973? False Which is bigger: 29/141 or 0? 29/141 Is -628 > -628? False Is 146 at least 146? True Which is bigger: 99 or 133? 133 Which is greater: -1 or -12? -1 Which is smaller: 0.1 or 420? 0.1 Is -1791 less than or equal to -1792? False Are 39 and 9 unequal? True Is 11250 bigger than 22501/2? False Is 478/63 bigger than 7? True Is 335 bigger than 325? True Which is bigger: -14/15 or -4.1? -14/15 Which is smaller: -0.83 or 2/53? -0.83 Is 138 smaller than 126? False Are 658 and 656 non-equal? True Which is bigger: -2540 or -2549? -2540 Which is bigger: 26 or 29? 29 Are -20/1367 and 1 unequal? True Which is bigger: 1/1139 or -1? 1/1139 Is 0.07 > -2/4631? True Does 0 = 30? False Which is smaller: 64 or 56? 56 Is -1 < 0.0449? True
Let j = -11 + 19. Let o(u) = u - 7. Calculate o(j). 1 Let h(y) = y**3 - y**2 + 6. Suppose 0 = -i + 2, -3*w - 25 = -5*i + 27. Let x be 4/14 + 4/w. What is h(x)? 6 Let u(l) = -2*l**2 - l - 2. Let p be u(-1). Let g(m) = 1 + m**2 + 0 + 3*m + 0*m. What is g(p)? 1 Let b(l) be the first derivative of l**2/2 - 2*l + 3. What is b(0)? -2 Let h(j) = -3*j. Suppose 3*i - i = 2. Let o = 2 - i. Give h(o). -3 Let t(m) = 3 - 6305*m + 0 - m**2 + 6295*m. What is t(-10)? 3 Let n(a) = 2*a**3 + a**2 - a + 2. Let p = 10 - 12. Give n(p). -8 Let r(x) = -3*x + 7 + 11*x**2 - 3*x**2 + x**3 + 12*x - 3*x. Calculate r(-7). 14 Let g(h) = h**2 + h. Let l be g(-2). Let u(f) = -f**2 + l*f**2 + 0 + 3 - 2*f + 0. Determine u(2). 3 Let u be 0 + 0 + (16 - 14). Let y(x) = 2*x**2 - 3*x**2 + 3*x**3 - 1 + 2*x**3 + 3*x**u. Calculate y(1). 6 Let j be 0/(0 - 2 - 1). Suppose -3*t - w = 7, 3*t = -j*w - 2*w - 5. Let m(x) = -x - 2. What is m(t)? 1 Let u(m) = 4*m + 4. Let s(t) = -1. Let o(a) = -5*s(a) - u(a). Let j be 3 + (2 + 0)*-1. Let f = j + -2. Calculate o(f). 5 Suppose 0*v + 29 = 5*v - x, -30 = -2*v + 5*x. Let j(m) = m**2 - 6*m - 5. What is j(v)? -10 Let h(z) = 4*z + 3*z - 3*z + 6 + 5*z. Let s(g) = 5*g + 3. Let a(u) = -6*h(u) + 11*s(u). Let c(l) = l - 1. Let x be c(-3). Determine a(x). -7 Let b(u) = 9*u**3 + u**2 + u. Let i(d) = 2*d - 13. Let v be i(6). Give b(v). -9 Let o be 1*(3 - 1) - 2. Suppose -3*f + o = -12. Suppose -f*z - 6 = 2. Let k(r) = -r**3 - 3*r**2 - r + 2. Give k(z). 0 Suppose -2*s = -3*v - 3, -4*v + 0 = 4*s + 4. Let n(b) = 5 - b**2 - 2*b + s*b + 4*b. Calculate n(4). -3 Let p(g) = -6*g**2 + 2*g - 1 + g**3 - 13 + 1 - 3*g**2. Determine p(9). 5 Let i(m) = m**2 - m - 5. Suppose -3*r + 2*r = -4. Give i(r). 7 Let m(u) = 4*u - 2 - u**2 + 0 - 1 + 2*u. Let i(d) = d**2 - d. Let o be i(-1). What is m(o)? 5 Let o(l) be the first derivative of 1/2*l**4 - 2 + 0*l**3 - l**2 + 0*l. Let h be 1*2*(-2 - -1). What is o(h)? -12 Let j(b) = 1 - 3*b + 6 + 1 + 2*b. Give j(6). 2 Let h(p) = -p**2 - 7*p - 6. Let q(t) = 12*t**2 + 5*t + 3. Let j be q(-4). Let f be (-1)/(-6) - j/42. Calculate h(f). 6 Let g(t) = 3*t**2 + 17*t - 11. Let f(y) = y**2 + 6*y - 4. Let l(z) = -11*f(z) + 4*g(z). Let v be ((-4)/10)/(2 - 9/5). Calculate l(v). 0 Let u be (-12)/6*(-6)/(-4). Let w be (-2 - -1 - 0)*u. Let q = w + -6. Let p(j) = -2*j + 3. What is p(q)? 9 Suppose b = m + 2, 0 = -b - 3*b - 5*m + 26. Let a(p) = 3*p**2 - 6*p**2 + 0*p**2 + b*p**2 + 1. What is a(3)? 10 Let w(h) = -5*h**2 - 3*h + 5. Let n(i) = -4*i**2 - 2*i + 5. Let k(x) = 4*n(x) - 3*w(x). Suppose -3*t + 20 = -8*t. Calculate k(t). -15 Let m(b) be the third derivative of -3*b**2 + 0 + 0*b - 1/8*b**4 - 1/60*b**5 + 1/6*b**3. Calculate m(-3). 1 Let w(b) be the third derivative of b**7/2520 + b**6/720 + b**4/12 - b**2. Let d(q) be the second derivative of w(q). Let j be (-9)/6*(-2)/(-3). Determine d(j). 0 Let t(k) = k**3 + 5*k**2 + 2*k + 3. Suppose 0*h - 3 = -h. Let g = -2 - h. Determine t(g). -7 Let h be (2 - (-4)/(-2)) + 3. Let u(t) = -3 - t**3 + 4 + 0*t**h. What is u(-2)? 9 Let h(d) = -6*d**2 + d - 1. Let t(r) be the second derivative of r**5/20 + 7*r**4/12 - 4*r**3/3 + r**2/2 - 3*r. Let v be t(-8). What is h(v)? -6 Suppose 5*c = -20, -3*m - m + 20 = -2*c. Let t = m - 4. Let b(q) = q - 1. Let l(f) = -4*f + 13. Let d(i) = t*l(i) - 6*b(i). Calculate d(-5). 3 Let j = 101 + -95. Let n(v) = -v + 7. Calculate n(j). 1 Let k(g) = 2. Let f(v) = -v - 2. Let z(l) = 6*f(l) + 5*k(l). Calculate z(-2). 10 Let s(r) be the first derivative of r**4/4 - r**3/3 + r + 5. Let w be (2/3)/(8/12). Give s(w). 1 Let k(y) be the second derivative of -y**5/20 - y**4/4 - y**3/2 - 3*y**2/2 + 2*y. Let q be 1/(0 - -1)*3. Suppose -5*z - 37 + 7 = -q*c, 0 = -4*c + 20. Give k(z). 6 Let t(i) = -i**3 + 3 + i + 1 - 5 - 3*i**2. Let g = -1 - 2. Give t(g). -4 Suppose -8 = -104*s + 102*s. Let a(c) = c**3 - 6*c**2 + 5*c + 4. Give a(s). -8 Suppose -2*j - 1 = -y - 0, -4*j + 3 = -y. Let d(c) = -y*c + 2*c + c. Let m = -11 - -8. What is d(m)? 6 Let h(g) = 5*g - 1. Suppose -4*b - q = q - 22, 0 = -2*b + 2*q + 8. Suppose 0*s = j - 2*s - 8, j - b*s - 17 = 0. Suppose 0 = j*l + 2 - 0. Give h(l). -6 Let f(n) be the third derivative of -n**4/24 - 15*n**2 - 1. Let g = 2 + -1. Calculate f(g). -1 Let d(o) = o**3 + 4*o**2 - 5*o + 1. Let p be d(-5). Let b(r) = r**3 + r**2 - 2*r + 1. Give b(p). 1 Let q(a) be the first derivative of 7 - a + 1/2*a**2 - 1/3*a**3. Let s = 4 + -3. Determine q(s). -1 Let p be 66/15 + 6/10. Let n be 9/2*(-8)/(-12). Let b(u) = 3 + n + u - 1. What is b(p)? 10 Let u(j) = j**2 + 4*j - 8. Let q(w) = 3*w - 12. Let h be q(2). What is u(h)? 4 Let b(l) = 6 + 3 + 0 + l**2 + 0*l**2. What is b(0)? 9 Let v(n) = -n**3 - n**2 + 2*n + 1. Let z = -3 - -1. Let q be v(z). Let p(r) = 7*r. Determine p(q). 7 Let g(b) be the second derivative of b**5/20 + 7*b**4/12 + 5*b**3/6 - 3*b**2 - 8*b. What is g(-6)? 0 Let v be 2*(-2)/(-4)*3. Let u(y) = -6*y**2 + 2*y + 11. Let l(m) = -5*m**2 + m + 10. Let k(i) = -7*l(i) + 6*u(i). What is k(v)? 2 Let a(u) = 7*u**2 - 4*u + 4. Let v be a(1). Let g(h) = h - 6. Determine g(v). 1 Let i be (18/15)/(2/10). Let u(v) = -2*v + 6. Calculate u(i). -6 Let p = 16 - 18. Let z(k) = -3*k**2 - k - 2. Give z(p). -12 Let k(g) = -g**2 + 2. Suppose -31*l = -13*l + 36. Determine k(l). -2 Let x(l) = -l**2 + 3. Let i(m) = m**2 - 5*m + 3. Let s be i(2). Determine x(s). -6 Let r(z) be the first derivative of z**4/4 + 2*z**3/3 - z**2 - z - 13. Calculate r(-2). 3 Let k(t) = t - 3. Let a = -37 + 37. Determine k(a). -3 Let s(i) = 2*i + 10. Let n = 12 - 12. Suppose 3*v + 2*v + 35 = n. What is s(v)? -4 Let r(c) = c**2 - 5*c + 7. Let o = -100 - -105. What is r(o)? 7 Let u(a) = a**3 - 2*a**2 + 2*a + 1. Let h(g) = 6*g**3 - 10*g**2 + 10*g + 5. Suppose -8*l = -3*l + 10. Let v(j) = l*h(j) + 11*u(j). Give v(-2). -3 Let c(a) = a**3 - 10*a**2 + 9*a + 4. Suppose -t + 5*j + 34 = 0, -4*t + 8*j - 3*j + 61 = 0. Calculate c(t). 4 Let x(b) = 1 - b**2 + 4*b**2 - 2*b + 0*b**2 + b**3. Let k(q) = -q**2 - q - 1. Let h(w) = 2*w + 2. Let t be h(-2). Let d be k(t). What is x(d)? 7 Let x(o) = o**3 - 4*o**2 - o + 2. Suppose -3*w + w - 6 = 0. Let k be w + 2 - (-15)/3. Calculate x(k). -2 Let c = -4 + 2. Let f(y) = -y**2 - 2*y + 1. Let n be f(c). Let j(z) be the first derivative of -z**4/4 + 2*z**3/3 - z - 1. Give j(n). 0 Let i = 18 - 14. Suppose 5*j - 2*t - 35 = 3*t, 5*t = j - 19. Let k(u) = -u**2 + 4*u - 3 + 2*u**3 - j*u**2 - u**3. What is k(i)? -3 Let s(v) = 10*v + 3. Let k(l) = 5*l + 1. Let b(c) = -5*k(c) + 2*s(c). What is b(-1)? 6 Let p be (-1)/3 - 23/3. Let t be (-3)/12 + (-10)/p. Let c(j) = -8*j - t + 9*j - 1 - j**2. What is c(2)? -4 Let u(w) = 5*w**3 + w**2 + w - 1. Suppose 3*b - 1 = 8. Suppose -5*o + 23 = t, -3*o = -6*o + 3*t + b. Let z be (o/(-4))/(1*-1). What is u(z)? 6 Let y = -50 - -55. Let s(k) = k**2 - 7*k + 6. Calculate s(y). -4 Let j(g) be the first derivative of g**4/4 - 2*g**3/3 - 3*g**2/2 - g + 11. Suppose -2*s - 2*s - 8 = 0. Let i be s*(-2)/4*3. Give j(i). -1 Let v = 4 - 2. Let m(b) = 1 + 3*b - b - b. Calculate m(v). 3 Let k = -5 - -10. Let c(q) = -2*q - 3*q + 4 - q + 4*q. What is c(k)? -6 Let a(u) = -u**3 + 5*u**2 + u - 5. Let l = 11 + -7. Suppose l*x + 46 = 5*n, 6*x + 17 = 2*n + 3*x. Suppose 0 = -2*d + 4*d - n. What is a(d)? 0 Suppose 0 = j - 3 - 0. Let i(g) = g**3 - 3*g**2 - g - 4. Give i(j). -7 Let q be (9 - 4)*2/(-5). Let h(f) = f**2 - f - 1. Give h(q). 5 Let o(x) be the third derivative of 0*x + 1/24*x**4 + 1/60*x**5 + 0 + 1/40*x**6 + 6*x**2 + 1/6*x**3. Give o(-1). -2 Let y = -6 + 8. Let r be (-1)/(2*1/(-4)). Let q(j) = -r - j**y + 6*j - j**2 + j**2. Determine q(5). 3 Let d(x) = x**2 + 5*x - 2. Let t(w) = w**3 + 5*w**2 - 1. Let i be t(-4). Suppose i + 0 = -3*u. Calculate d(u). -2 Let h be ((-8)/(-7))/((-2)/(-7)). Let j(b) be the second derivative of -1/6*b**3 + 1/4*b**h + 0 + 0*b**2 - 4*b. Calculate j(-1). 4 Let t be (3/(-2))/((-1)/4). Let m(j) = -j + 4. Let d be m(t). Let u = 7 + d. Let v(x) = x - 2. Give v(u). 3 Let w be -1 + 0 + 4*1. Suppose -2*k - 2*f + 0*f = 0, -w*f = 15. Let j(q) = 5 - q**2 - 6*q + q + 3*q + 5*q. What is j(k)? -5 Let q(k) = k - 2*k**3 + k**3 + 7*k**2 - 2 + 0*k**3 - 3*k**2 + 5*k. Let j be (-32)/(-12) - 2/(-6). Let m be (2/j)/(2/15). Calculate q(m). 3 Let x(u) = u**2 - 5*u. Let n(m) = -3*m**3 + 12*m**2 - 9*m - 5. Let y(t) = -t**3 + t**2. Let k(v) = -n(v) + 4*y(v). Let g be k(-9). Determine x(g). 0 Let h(d) be the third derivative of -d**6/120 + 2*d**5/15 - 7*d**4/24 - d**3/6 - 44*d**2. Determine h(7). -1
What is n in -n**4 - 21111*n**3 + 211338*n**2 + 2703776*n + 6082848 = 0? -21121, -4, 18 Solve n**4/3 + 24056*n**3/3 + 145344055*n**2/3 + 2688440000*n + 2640000000 = 0. -12000, -55, -1 Suppose -4*s**3 + 26722*s**2 + 66826*s + 26732 = 0. Calculate s. -2, -1/2, 6683 Factor 16*d**2/9 + 81443854*d/9 - 3393494/3. 2*(d + 5090241)*(8*d - 1)/9 Factor -5*n**3 + 336375*n**2 - 15798580*n. -5*n*(n - 67228)*(n - 47) Suppose -2*u**3 - 28438534*u**2 - 227508176*u - 455016288 = 0. Calculate u. -14219259, -4 What is l in -2*l**2/9 - 205472*l/9 + 22420210/9 = 0? -102845, 109 Find d, given that 7*d**3 + 49925*d**2/2 + 1783*d = 0. -3566, -1/14, 0 Factor 2*c**3/7 - 10728*c**2/7 + 14577408*c/7 - 510976512/7. 2*(c - 2664)**2*(c - 36)/7 Find j such that -3*j**2 - 24987*j + 57796470 = 0. -10215, 1886 Factor -n**4/4 - 5371609*n**3/4 + 5371613*n**2. -n**2*(n - 4)*(n + 5371613)/4 Let -2*o**4/7 - 588*o**3 - 2117358*o**2/7 - 301892*o = 0. Calculate o. -1063, -994, -1, 0 Suppose 4*k**5/7 + 4552*k**4/7 + 1304056*k**3/7 + 5093808*k**2/7 - 2040228*k - 5511240 = 0. What is k? -567, -5, -2, 3 Factor -5*f**2 + 7271950*f + 29087880. -5*(f - 1454394)*(f + 4) Determine h, given that -h**2/3 + 7714*h/3 + 1415560 = 0. -516, 8230 Suppose -2*d**3 + 53374*d**2 - 320118*d - 1440774 = 0. What is d? -3, 9, 26681 Factor -3*l**2 - 77715*l - 152701038. -3*(l + 2142)*(l + 23763) Suppose 4*s**4 + 4232*s**3 - 3732240*s**2 + 706741600*s - 22579168000 = 0. What is s? -1678, 40, 290 Solve 2*n**2/11 - 82558712*n/11 + 851992615887368/11 = 0 for n. 20639678 Let 2*y**4/5 - 93772*y**3/5 + 2059354*y**2 - 56598960*y = 0. Calculate y. 0, 55, 46776 What is j in -3*j**2/8 - 5955*j/8 + 137025/4 = 0? -2030, 45 Determine s, given that 5*s**3 + 27235*s**2 + 9252875*s + 9225645 = 0. -5083, -363, -1 Factor -f**3 + 157296*f**2 - 1730135*f. -f*(f - 157285)*(f - 11) Let -3*i**3/5 - 5854494*i**2/5 - 571254008391*i - 11424986496108/5 = 0. What is i? -975747, -4 Let -r**2/3 - 254676*r - 1528052/3 = 0. Calculate r. -764026, -2 Let 3*d**2/2 - 250879143*d + 20980114797471483/2 = 0. Calculate d. 83626381 Factor -y**3 + 289256*y**2 - 20917836884*y + 83666719504. -(y - 144626)**2*(y - 4) Let 2*a**3/11 - 4927832*a**2/11 + 3035441027528*a/11 = 0. Calculate a. 0, 1231958 Determine g so that 3*g**3/2 + 250143*g**2 + 2001105*g/2 + 750411 = 0. -166758, -3, -1 Factor 4*o**5 + 5692*o**4 + 524304*o**3. 4*o**3*(o + 99)*(o + 1324) Let h**2/2 + 413631*h - 102611240 = 0. Calculate h. -827510, 248 Factor 4*g**3 - 88340*g**2 + 2029608*g + 2117952. 4*(g - 22062)*(g - 24)*(g + 1) Let 5*q**3 - 4814*q**2 + 18239*q - 17262 = 0. What is q? 9/5, 2, 959 Factor d**2 - 19050*d + 2853749. (d - 18899)*(d - 151) What is d in 10*d**4 + 11633*d**3 - 82911*d**2 - 5290920*d - 1579500 = 0? -1170, -18, -3/10, 25 Find d such that 2*d**3 + 1134*d**2 - 43416*d = 0. -603, 0, 36 Suppose -2*h**2 + 902866*h + 36117840 = 0. Calculate h. -40, 451473 Find a, given that -108*a**5 + 141108*a**4 + 487552*a**3 - 303952*a**2 + 41920*a = 0. -4, 0, 2/9, 1/3, 1310 Suppose 4*q**5 + 31820*q**4 + 4866576*q**3 = 0. Calculate q. -7799, -156, 0 Find p, given that -4*p**4 + 202432*p**3 + 10131604*p**2 - 202432*p - 10131600 = 0. -50, -1, 1, 50658 Factor -2*q**2/7 + 672628*q/7 + 22871664/7. -2*(q - 336348)*(q + 34)/7 Solve -722*q**4/9 + 335806*q**3/3 + 1699190*q**2/9 - 203974*q/3 + 5588 = 0. -2, 3/19, 1397 Factor t**2/3 + 669848*t - 4019092/3. (t - 2)*(t + 2009546)/3 Solve 6*z**5/11 + 410*z**4/11 + 4398*z**3/11 - 44930*z**2/11 + 64596*z/11 - 24480/11 = 0. -51, -24, 2/3, 1, 5 Determine b so that 3*b**5/4 - 13311*b**4/2 + 584583*b**3/4 - 776697*b**2 - 584595*b + 3213276 = 0. -2, 2, 11, 8852 What is q in -3*q**5/5 - 51374*q**4/5 - 119811*q**3 - 342280*q**2 - 1711332*q/5 - 547616/5 = 0? -17113, -8, -2, -1, -2/3 Find d, given that -27*d**2/8 - 19230663*d/8 - 7478583/4 = 0. -712246, -7/9 Determine d, given that d**3 - 595796*d**2 + 14298672*d - 85791168 = 0. 12, 595772 Determine c so that 5*c**2 + 10280080*c + 41120240 = 0. -2056012, -4 Factor 7*c**5/2 + 50871*c**4/2 + 101707*c**3 + 152543*c**2 + 203379*c/2 + 50843/2. (c + 1)**4*(7*c + 50843)/2 Let -5*h**3 - 26538915*h**2 - 212311080*h - 424622000 = 0. What is h? -5307775, -4 Find p, given that -3*p**5/8 + 189*p**4/4 - 1047*p**3/4 - 125457*p**2/2 - 1485063*p/8 - 492855/4 = 0. -29, -2, -1, 55, 103 Let 2*n**3/5 - 13510166*n**2/5 - 2702036*n + 81061008/5 = 0. Calculate n. -3, 2, 6755084 Factor -2*f**2/5 - 796188*f/5 + 8759278. -2*(f - 55)*(f + 398149)/5 Determine p so that -p**5/3 - 198784*p**4/3 - 3180352*p**3/3 - 4240384*p**2 = 0. -198768, -8, 0 Find c such that 1951*c**2 - 13205*c + 11254 = 0. 1, 11254/1951 Let -3*z**4/2 - 2787*z**3/2 - 92043*z**2/2 - 673077*z/2 + 383955 = 0. Calculate z. -895, -22, -13, 1 Determine t, given that -2*t**3 - 16358*t**2 - 4333028*t - 8600640 = 0. -7905, -272, -2 Solve -6*b**3/5 + 21785596*b**2/5 - 19775515306664*b/5 + 13183667188624/5 = 0 for b. 2/3, 1815466 Let 266*l**3/9 - 185620*l**2/9 - 11168*l/3 = 0. What is l? -24/133, 0, 698 Solve -2*q**3 - 118839612*q**2 - 1765356553699200*q + 3530713582756864 = 0. -29709904, 2 Determine m, given that 64*m**4 - 21978272*m**3 + 98901060*m**2 - 45329608*m + 5494496 = 0. 1/4, 4, 343406 Factor -3*c**2/2 - 213342*c - 10236960. -3*(c + 48)*(c + 142180)/2 Suppose 5*m**4 + 68925*m**3 + 11174005*m**2 + 65183595*m + 96845310 = 0. What is m? -13621, -158, -3 Determine j so that -4*j**3/11 - 1882*j**2/11 - 216846*j/11 - 321048/11 = 0. -273, -196, -3/2 Factor 5*z**2 - 17564210*z + 15425073646205. 5*(z - 1756421)**2 Determine g so that 2*g**2/19 + 35090*g/19 + 910988/19 = 0. -17519, -26 Factor -2*x**2/11 - 65001344*x/11 - 528146840225792/11. -2*(x + 16250336)**2/11 Let 2*n**4/11 + 464584*n**3/11 - 21375286*n**2/11 - 44144316*n/11 - 22304448/11 = 0. What is n? -232338, -1, 48 Suppose -3*t**5 - 5577*t**4 + 33537*t**3 - 61527*t**2 + 33570*t = 0. What is t? -1865, 0, 1, 2, 3 Determine d, given that d**3/6 + 1611*d**2 + 585905*d/6 = 0. -9605, -61, 0 Determine a so that -1125*a**3 + 5330230*a**2 - 6313586365*a - 112243220 = 0. -4/225, 2369 Determine s so that -3*s**5 + 33402*s**4 - 113742936*s**3 + 74656743510*s**2 + 151418473392651*s + 453580435720800 = 0. -800, -3, 3979 Solve 4*t**5/7 - 204*t**4/7 + 1464*t**3/7 + 8272*t**2/7 - 44448*t/7 + 47232/7 = 0. -6, 2, 12, 41 Solve -666*i**5/7 - 66596*i**4/7 - 1514084*i**3/7 - 403248*i**2 - 195182*i + 8308/7 = 0 for i. -67, -31, -1, 2/333 Suppose n**4/3 - 5717*n**3 - 22875*n**2 + 85775*n/3 = 0. What is n? -5, 0, 1, 17155 What is n in -8*n**3 + 320134*n**2 - 3201519760*n - 23227848352 = 0? -29/4, 20012 Solve 2*h**3/5 - 47946*h**2/5 + 11345328*h/5 - 11297384/5 = 0. 1, 238, 23734 Determine z so that z**3 + 59291*z**2 + 1600004*z - 7348736 = 0. -59264, -31, 4 Factor -14*w**3 + 264788*w**2 - 1253788200*w + 16788870000. -2*(w - 9450)**2*(7*w - 94) Find j, given that -4*j**4/11 + 10122*j**3 + 7925166*j**2/11 + 7813820*j/11 = 0. -70, -1, 0, 55813/2 Factor 2*y**2 - 650354964*y + 52870197399930162. 2*(y - 162588741)**2 Factor i**2 - 71883*i - 718930. (i - 71893)*(i + 10) Factor g**2/4 + 145797*g - 9914485/4. (g - 17)*(g + 583205)/4 Solve 3*j**4 - 25924425*j**3 + 103697664*j**2 - 103697652*j = 0. 0, 2, 8641471 Solve 2*w**4/3 + 3556*w**3/3 - 4750*w**2 + 3564*w = 0 for w. -1782, 0, 1, 3 Suppose -b**2/4 + 1861246*b - 3464236672516 = 0. What is b? 3722492 What is b in -b**5/4 - 1102*b**4 - 568697*b**3/2 - 846436*b**2 - 3376933*b/4 - 281044 = 0? -4133, -272, -1 Factor 3*k**3 + 43605*k**2 - 1530192*k - 4982940. 3*(k - 38)*(k + 3)*(k + 14570) Find h such that h**4/3 + 31289*h**3/3 - 62602*h**2/3 - 625844*h/3 - 250328 = 0. -31291, -2, 6 Solve -2*v**4 + 6502*v**3 - 679518*v**2 + 1980090*v = 0. 0, 3, 105, 3143 Suppose -2*z**2 + 20390416*z - 51971133081632 = 0. What is z? 5097604 Factor c**2 - 35535340*c + 106606011. (c - 35535337)*(c - 3) Factor -4*o**4 - 369044*o**3 - 10330880*o**2 - 72310672*o. -4*o*(o + 14)**2*(o + 92233) Let f**3/4 - 461*f**2 + 10045*f - 43728 = 0. What is f? 6, 16, 1822 Factor -2*j**2 + 18570768*j - 43109178013728. -2*(j - 4642692)**2 Factor 4*k**2 - 562244*k + 51692592. 4*(k - 140469)*(k - 92) What is t in 61*t**4 - 364174*t**3 - 340351*t**2 + 23884*t = 0? -1, 0, 4/61, 5971 Factor -2*f**3/11 + 26234*f**2 - 10413840640*f/11 + 322551799808/11. -2*(f - 72128)**2*(f - 31)/11 Solve 3*m**5 - 6822*m**4 + 20439*m**3 + 12*m**2 - 27252*m = 0 for m. -1, 0, 2, 2271 Find g, given that -156*g**5 - 106474*g**4 - 45338146*g**3/13 + 21714352*g**2/13 - 3441896*g/13 + 181440/13 = 0. -648, -35, 2/13, 1/6
Calculate prob of sequence mfi when three letters picked without replacement from fmfiffmffiff. 4/165 Three letters picked without replacement from epaabaap. Give prob of sequence ebp. 1/168 Calculate prob of sequence ggg when three letters picked without replacement from ggggggaggggg. 3/4 Calculate prob of sequence crz when three letters picked without replacement from zrccccrcr. 5/168 Two letters picked without replacement from ggtguutgttugtgttt. Give prob of sequence tu. 3/34 What is prob of sequence id when two letters picked without replacement from ijdijnjwjj? 1/45 Calculate prob of sequence dw when two letters picked without replacement from cwwcedxqddxq. 1/22 Three letters picked without replacement from mjmjmmmmmmm. Give prob of sequence mjj. 1/55 Two letters picked without replacement from oououou. Give prob of sequence ou. 2/7 Four letters picked without replacement from uqqugqggqggugggqu. Give prob of sequence gguu. 1/85 Two letters picked without replacement from {c: 2, r: 2, y: 2, v: 1, d: 1, u: 1}. What is prob of sequence rd? 1/36 Two letters picked without replacement from eeeenxneeexeeex. What is prob of sequence nx? 1/35 Three letters picked without replacement from {z: 1, g: 1, l: 1, p: 1, v: 2, m: 2}. What is prob of sequence vvz? 1/168 Two letters picked without replacement from wqigqyw. What is prob of sequence ig? 1/42 Three letters picked without replacement from {u: 3, n: 1, k: 1}. Give prob of sequence uku. 1/10 Three letters picked without replacement from {e: 17, w: 1}. What is prob of sequence eww? 0 Calculate prob of sequence phh when three letters picked without replacement from pwpwwhppppwhpwwpppp. 11/2907 Two letters picked without replacement from {y: 6, k: 1, z: 1, v: 1}. What is prob of sequence yv? 1/12 What is prob of sequence ooo when three letters picked without replacement from {v: 15, o: 3}? 1/816 Two letters picked without replacement from {d: 1, x: 2, w: 8, t: 2, l: 4, k: 3}. What is prob of sequence xl? 2/95 Two letters picked without replacement from {j: 3, r: 7, p: 8}. Give prob of sequence jj. 1/51 Four letters picked without replacement from ucvvcccqvcuvu. What is prob of sequence cqvv? 1/286 Calculate prob of sequence ak when two letters picked without replacement from {a: 1, h: 3, k: 2, l: 7, r: 1}. 1/91 Three letters picked without replacement from muhfuummuh. Give prob of sequence huf. 1/90 Three letters picked without replacement from xdxdxxxxxxdxxd. Give prob of sequence xdd. 5/91 Three letters picked without replacement from ess. Give prob of sequence ess. 1/3 Three letters picked without replacement from {o: 10, s: 4}. Give prob of sequence oso. 15/91 Three letters picked without replacement from {k: 3, s: 9}. Give prob of sequence sks. 9/55 Two letters picked without replacement from {a: 1, i: 3}. What is prob of sequence ai? 1/4 Two letters picked without replacement from pddlv. Give prob of sequence pv. 1/20 Calculate prob of sequence zzva when four letters picked without replacement from {v: 4, z: 7, a: 5}. 1/52 Calculate prob of sequence yhkh when four letters picked without replacement from {n: 3, y: 4, k: 1, h: 2}. 1/630 Three letters picked without replacement from llkokklkinktkit. What is prob of sequence ltt? 1/455 Three letters picked without replacement from {n: 1, f: 1, s: 1, u: 2, y: 1, a: 1}. What is prob of sequence syu? 1/105 What is prob of sequence apwp when four letters picked without replacement from wwawaaawwaappwwaawa? 1/646 Four letters picked without replacement from {c: 1, z: 2, t: 5, u: 1}. Give prob of sequence zczu. 1/1512 Four letters picked without replacement from rssrsss. Give prob of sequence ssss. 1/7 What is prob of sequence du when two letters picked without replacement from {u: 1, a: 2, w: 1, d: 4}? 1/14 Calculate prob of sequence fbf when three letters picked without replacement from {b: 6, f: 4, s: 3}. 6/143 Calculate prob of sequence nn when two letters picked without replacement from pppwpnpnndppnweedpe. 2/57 Four letters picked without replacement from {o: 4, f: 3, k: 2, z: 2}. What is prob of sequence ofkk? 1/330 Three letters picked without replacement from {f: 2, z: 9, w: 2}. Give prob of sequence zff. 3/286 Two letters picked without replacement from chhcpcpchchcccppp. What is prob of sequence pc? 5/34 What is prob of sequence iicp when four letters picked without replacement from {p: 1, j: 1, c: 1, i: 1, w: 1}? 0 What is prob of sequence xe when two letters picked without replacement from agcxgxaeccegcxxgcesc? 3/95 Four letters picked without replacement from {h: 1, y: 1, d: 2, w: 2, l: 1, b: 1}. Give prob of sequence ddyw. 1/420 Two letters picked without replacement from nhnnnnnnnnhhnhhnnn. What is prob of sequence hn? 65/306 Four letters picked without replacement from {g: 3, e: 9, m: 2, k: 5}. What is prob of sequence gmem? 3/5168 What is prob of sequence ffft when four letters picked without replacement from {f: 10, t: 10}? 20/323 Two letters picked without replacement from {w: 6, y: 3, s: 4}. What is prob of sequence yw? 3/26 Two letters picked without replacement from oqiqfxxooqqirxfrfrif. Give prob of sequence fq. 4/95 Calculate prob of sequence nnl when three letters picked without replacement from mmmmhmlmmnmlnhz. 2/1365 Three letters picked without replacement from {j: 1, i: 2, o: 2, w: 1}. What is prob of sequence ioo? 1/30 Two letters picked without replacement from tgtgtlllhllllligrlhi. What is prob of sequence gt? 9/380 Calculate prob of sequence mil when three letters picked without replacement from myffbifbiibifilbb. 1/816 Three letters picked without replacement from {x: 3, c: 3, n: 2, s: 12}. Give prob of sequence xnc. 1/380 Three letters picked without replacement from {r: 1, j: 3}. What is prob of sequence jrj? 1/4 What is prob of sequence ussu when four letters picked without replacement from {s: 5, u: 2}? 1/21 What is prob of sequence ee when two letters picked without replacement from exhdkkeeeekkkkkhehe? 7/57 What is prob of sequence tl when two letters picked without replacement from {l: 12, t: 6}? 4/17 Two letters picked without replacement from {h: 2, l: 11}. What is prob of sequence lh? 11/78 Four letters picked without replacement from rrrrrrrrrr. Give prob of sequence rrrr. 1 Calculate prob of sequence ygo when three letters picked without replacement from {y: 1, i: 1, g: 1, f: 2, o: 2, r: 2}. 1/252 Calculate prob of sequence hu when two letters picked without replacement from {u: 7, h: 5}. 35/132 Two letters picked without replacement from iipipiiippi. What is prob of sequence pp? 6/55 What is prob of sequence oyou when four letters picked without replacement from uyyuyyoyuyyoyyyyy? 3/2380 Four letters picked without replacement from llllll. What is prob of sequence llll? 1 Two letters picked without replacement from aoooooaa. Give prob of sequence oo. 5/14 Calculate prob of sequence pppp when four letters picked without replacement from hphhhhhhhhhhhhh. 0 Three letters picked without replacement from pqqqxppxqm. Give prob of sequence pmx. 1/120 Two letters picked without replacement from ddlldddlldd. What is prob of sequence dd? 21/55 Two letters picked without replacement from {y: 2, z: 2, r: 8, n: 5}. What is prob of sequence rn? 5/34 Two letters picked without replacement from {s: 6, e: 4, b: 4, i: 3, d: 1, w: 2}. What is prob of sequence bw? 2/95 What is prob of sequence eeq when three letters picked without replacement from qqezeqqzqe? 1/24 Calculate prob of sequence vx when two letters picked without replacement from wevxnnn. 1/42 Three letters picked without replacement from tazziztzjiyjztjti. What is prob of sequence zzj? 1/68 Two letters picked without replacement from skksdq. Give prob of sequence ds. 1/15 Four letters picked without replacement from bgwwbbgwgwwwwxbbb. What is prob of sequence bxww? 3/680 Two letters picked without replacement from slskl. Give prob of sequence kl. 1/10 What is prob of sequence dyyt when four letters picked without replacement from ytyptttyytdddddt? 3/364 Two letters picked without replacement from {b: 4, t: 1, j: 2}. Give prob of sequence bt. 2/21 Four letters picked without replacement from {c: 11, f: 1, h: 6}. Give prob of sequence hhfh. 1/612 Four letters picked without replacement from zizizzizzzjzi. Give prob of sequence zzzj. 14/715 Three letters picked without replacement from {c: 1, l: 1, q: 1, u: 2, r: 2, k: 1}. What is prob of sequence ulq? 1/168
Expand (2*m + 1 - 1)*(4*m**3 + 3*m**3 + 0*m**3). 14*m**4 Expand (3 - 3 - 1)*(3*c - 3*c - c**2) - 3*c**2 + 0 + 0 + 0*c**2 + 2*c**2 - 4*c**2. -4*c**2 Expand (-2 - v**2 + 3*v - 2*v + 1)*(-5*v**2 - v**2 + v**2). 5*v**4 - 5*v**3 + 5*v**2 Expand 6*m**3 - 17*m**3 - 65*m**3 + (-1 + 1 - 2*m)*(-3*m + m**2 + 3*m). -78*m**3 Expand -l - l - l + (0*l - 4*l + 2*l)*(1 + 2 - 1) + l - 1 + 1. -6*l Expand (7*s - 29*s - s)*(s**3 - 3*s**3 + 4*s**3). -46*s**4 Expand (129*h**2 - 54*h**2 + 36*h**2)*(2*h + 1 - 1) - h**3 + 0*h**3 - h**3. 220*h**3 Expand ((a + 3*a - 3*a)*(-4*a + 3*a - a) - 6*a - 2*a**2 + 6*a)*(0 - 2 - 11). 52*a**2 Expand (3 - 1 - 3)*(-3 + 2 - 7)*(2*k + 0*k + 0*k). 16*k Expand (-79 + 79 - 5*f**2)*(0 + 0*f**2 + f**2 - 3). -5*f**4 + 15*f**2 Expand -c**2 - 2*c**2 - 2*c**2 + (c + 2*c - 4*c)*(-4*c + 2*c + 4*c) - c**2 - 3*c**2 + 5*c**2. -6*c**2 Expand -754 + 754 - 31*f + (3*f - f - 3*f)*(-2 - 1 + 4). -32*f Expand (4*c + 2*c - 4*c)*(5 - 4 - 2)*(6 - 11 + 0)*(-c + 2*c - 3*c). -20*c**2 Expand (-1 + 3 - 5)*(2 + 2 - 3)*(1 + 2*f + 2 + 2). -6*f - 15 Expand (-5*o + 7*o + 7*o)*(2*o**3 + 3*o**3 - 2*o**3) + o**4 + o**4 - 3*o**4. 26*o**4 Expand (-3 + 2 + 0)*(-2*g + g + 6*g) + g - g + g. -4*g Expand (3 - 3*c**2 - 12*c + 11*c - 1)*(-273*c - 33*c**2 + 273*c). 99*c**4 + 33*c**3 - 66*c**2 Expand (2*y**5 - 3*y**5 + 2*y**5)*(-53 + 240 + 188 - 127). 248*y**5 Expand (1 + m - 1)*(13*m - 4*m - 2*m)*(0 + 2 + 3). 35*m**2 Expand (-3*w - 4*w + 6*w)*(-2*w**4 + w**4 + 3*w**4) + 3*w**5 - 3*w**5 - 3*w**5. -5*w**5 Expand 3 - 3 + 2*c + (1 + 1 - 4 + 5 - 4 - 3 - 1 - 4 + 4 + (-2 - 2 + 2)*(3 - 2 - 2) - 1 + 2 - 2)*(-c + 0*c + 2*c). -2*c Expand (-2*h - 5*h + 2*h)*(0*h**2 + h**2 - 5*h**2). 20*h**3 Expand -2 + 2*m + 2 + (-4*m + 5*m + 0*m)*(4 - 5 + 0) - m + 3*m - 4*m + m - 2 + 2 + 3*m - 2*m - 3*m - 2*m + 2*m + m + (-1 + 2*m + 1)*(1 + 1 - 4) + 0 + 0 + 2*m. -3*m Expand (-7*m**2 + 8*m**2 + m**2 + (-1 + 3 - 1)*(-2*m**2 + 2 - 2) - 4*m**2 + 0*m**2 + 2*m**2)*(1 - 2 + 2). -2*m**2 Expand 4*h + 9*h - 11*h + (3*h - 5*h + 4*h)*(-3 + 4 - 3). -2*h Expand (1 + 2*g - 1)*(-9 + 5 - 4)*(-g - 2*g + 2*g). 16*g**2 Expand (-3*r - 2*r**2 + 3*r)*(0 + 0 - 7*r**2). 14*r**4 Expand (4 - 3 + 0)*(-9*t + t - 8*t). -16*t Expand (0 + 2 - 4)*(-a + a**2 + a)*(3*a + 0*a - a)*(3*a - a + a). -12*a**4 Expand (2*u - 2*u - 3*u)*(-3 + 4 - 2) - 2*u + 1 + 0 + 0. u + 1 Expand (0 + 2 + 0 + (-1 + 3 - 4)*(4 - 6 + 0) - 9 + 6 + 2)*(0*t**4 + 3*t**4 - t**4). 10*t**4 Expand ((-2 - 4 + 4)*(0 + 1 + 0) - 5 + 3 - 28)*(-3*a**2 - a**2 + 3*a**2). 32*a**2 Expand (0*s + 0*s + 2*s**4)*(0 + 0 - 3*s) - 3*s**5 + 10*s**2 - 10*s**2. -9*s**5 Expand ((i - 3*i + 0*i)*(3 - 5*i**2 - 3) + 27*i + 5*i**3 + 28*i - 54*i)*(2 - 2 - i**2). -15*i**5 - i**3 Expand (-2*g + 0 + 0)*(0 + 0 - g)*(-5*g - 2*g + 2*g). -10*g**3 Expand -1 + 1 + x + (-4 + 3 + 0)*(0*x + x - 3*x) + 0*x + 2*x + 0*x - x + 5 - 5 + (5 + 6 - 4)*(3 - 3 - x). -3*x Expand (21*x - 40*x + 17*x)*(-2*x - 3*x + 4*x) - x**2 - 5*x**2 + 3*x**2. -x**2 Expand (2*q + 2*q**2 - 2*q)*(4*q**2 - 4*q**2 + 2*q**2) + 6*q**2 - 6*q**2 + 2*q**4. 6*q**4 Expand (3 + 0 - 4 + (-1 - 2 + 4)*(3 - 5 + 3) + 5 - 7 + 4)*(c**3 - 5*c**3 + c**3). -6*c**3 Expand (-6 + 1 + 3)*(-5*y + 172*y**3 - 171*y**3 - 9*y). -2*y**3 + 28*y Expand (4*g**2 + 0*g**2 - 2*g**2)*(0*g + 0*g + g) + g**2 - g**2 + 3*g**3 + (2 + 3 - 3)*(-g**3 - g**2 + g**2) + 3*g**3 - 2*g**3 - 5*g**3. -g**3 Expand (-2*u**2 + 2*u**2 + 2*u**2)*(3*u**2 - 3*u**2 + 2*u**2) + (2 + 1 - 4)*(-u**2 + u**2 - 6*u**4). 10*u**4 Expand ((2 + 0 + 0)*(-24 + 24 + o) - o + o - o)*(-3 - 4 + 6). -o Expand (-4*t**4 + 2*t**4 + 0*t**4)*(5*t - 449 - 3*t + 450). -4*t**5 - 2*t**4 Expand (1 - 1 - 3*x + (2 + 1 + 0)*(-3*x + 5*x - 3*x))*(0 + 0 - 1). 6*x Expand -z**3 + z**3 - z**3 + (-5*z - z + 3*z)*(-1 + 1 + 2*z**2). -7*z**3 Expand 2*i - 43*i - 44*i + (1 - 1 - 2*i)*(6 - 3 - 4). -83*i Expand (0 + 2 - 7)*(-v + 2*v + v) + (-1 + 4 - 2)*(-3*v + 0*v + v). -12*v Expand 2*b**4 - 2*b + 2*b + (3*b**2 + b**2 - 2*b**2)*(-2*b**2 - 3*b**2 + 3*b**2) + (0*b - b - b)*(-2*b**3 - b**3 + b**3). 2*b**4 Expand t + 2*t - t + (t + 3*t + 0*t)*(-1 - 1 + 4) + 2 - 2 - 2*t. 8*t Expand 3*i**3 + 0*i**3 - 4*i**3 + (3*i - 3*i - i)*(5*i - 5*i + 2*i**2) - 11*i**2 - 2*i**3 + 11*i**2 + (-3*i - i + 2*i)*(3*i**2 + i**2 - 2*i**2). -9*i**3 Expand (0*n + 0*n + n)*(-14*n**3 + n**3 + 0*n**3). -13*n**4 Expand (3*h - h + 0*h)*(-1 + 2*h + 1) + 2*h**2 + 0*h**2 + 0*h**2 + 1 + 3*h**2 - 1 - 5*h**2 + 0*h**2 - 2*h**2. 2*h**2 Expand i**2 - i**2 - i**2 - 1 + (0*i - 3*i + 4*i)*(0*i + i + i) + 0*i**2 + 5*i**2 - 3*i**2. 3*i**2 - 1 Expand (g - 3*g + 3*g)*(0*g + 0*g - 2*g). -2*g**2 Expand (2*i**3 - 2*i**3 - i**3)*(0*i + i**2 + 0*i) - i**5 + 2*i**5 + i**5 + 2*i**5 - 4*i**5 + 3*i**5 + (-i - 2 + 2)*(4*i**2 - 3*i**4 - 4*i**2). 5*i**5 Expand (-3*h + 0*h + 4*h)*(11 - 15 + 7). 3*h Expand (7 - 5 + 6)*(-3 - 9 + 3)*(i + i - 4*i). 144*i Expand 3*w**4 + 0 - 2*w**4 - 2 - 2*w**2 + 2*w**2 - w**4 - 5*w**2 - 2*w**4 + 5*w**2 + (w**2 + 2*w**2 - 2*w**2)*(w - 2*w**2 - w). -4*w**4 - 2 Expand (3 - 3 - a**2)*(-5*a + 33*a - 13*a). -15*a**3 Expand (-b + 3*b - b)*((2*b**2 + 1 - 1)*(-4 + 3 + 3) - 2*b + 2*b + 3*b**2 + 0*b**2 - 4*b**2 + 5*b**2 + b**2 + 0*b**2 - 2*b**2). 7*b**3 Expand (-2 + 1 + 2)*(4 + 15*n**2 - 4). 15*n**2 Expand (-1 + 1 + 2*g**3)*(2*g - 1 + 1) + (-g**3 + g - g)*(0*g + 2*g - g) + 2*g**4 + 4*g**4 - 4*g**4. 5*g**4 Expand (-1 + 2 + d + 11)*(-3*d**2 + d**2 + d**2). -d**3 - 12*d**2 Expand -3*w**5 + w**5 + 0*w**5 + (42*w**2 - 18*w**2 + 14*w**2)*(3*w**3 + w**3 - 5*w**3). -40*w**5 Expand (2*l**2 - 2*l**2 + 2*l**2)*(2 - 1 - 6)*(1 - 3 + 3). -10*l**2 Expand ((-3*k**2 + 2*k**2 + 2*k**2)*(6 - 4 - 3) + 2*k**2 - k + k)*(0 + k**2 + 0). k**4 Expand -42*q**3 + 53*q**3 + q**2 - q + 18*q**3 - 2*q**3 + 1 - 1 + 3*q**3 - 4*q**3 + 2*q**3 + (4 - 2 - 3)*(q - q + 2*q**3) + q**3 + 0*q**3 - 3*q**3. 24*q**3 + q**2 - q Expand (6 + 4 - 23)*(-2*q**2 + 5*q**2 - 5*q**2). 26*q**2 Expand (-o + 2*o + o)*(-o - o + 0*o) - 115 - 8*o**2 + 115. -12*o**2 Expand 4*c**2 + 0*c**2 - 2*c**2 + 0 - 2*c**2 + 0 + (4*c - 4*c + c)*(4 - 2*c - 4). -2*c**2 Expand (0 - 4 + 2)*(-1 + 1 - 2*i)*(2 + 2 - 5)*(-4 + 5 + 2). -12*i Expand (7 - 7 + 21*t)*(0*t**3 + 0*t**3 + t**3) + (-3*t**3 + 2*t**3 + 2*t**3)*(t + 2*t - 2*t). 22*t**4 Expand (-2*i**2 + 3 - 3)*(-2*i**2 + 0*i**2 + 3*i**2) + (2*i**3 + 0 + 0)*(7*i - 2*i - i). 6*i**4 Expand -q**4 - 4*q**4 + 4*q**4 + (4*q**2 - 4*q**2 + q**2)*(-2*q**2 - 5*q**2 + 3*q**2). -5*q**4 Expand (4*i + 0*i - 3*i + (1 - 4 + 5)*(4*i - 2*i - 3*i) + i - 4*i + 0*i)*(i + 2*i - 2*i)*(4*i - 2*i - 3*i). 4*i**3 Expand (2*z + 0*z - 3*z)*(2 + 2 - 6) + 4*z - 8*z - 4*z + (-3 + 4 + 0)*(-2*z - 2*z + 5*z) + 4*z + 2*z - 5*z. -4*z Expand (o - 2*o - 5 + 3)*(-7 + 12 + 2) - 3*o + 7*o - 3*o. -6*o - 14 Expand (-3 + 5 - 1)*(2 - 4 + 1 - 2*d). -2*d - 1 Expand (5*c - 15*c + 1 + 16*c)*(3*c - 2*c - 2*c). -6*c**2 - c Expand (2*o**2 + 3 - 3)*(-o**3 - 2*o**3 + 4*o**3) + o**5 - o**4 + o**4 + (3*o - 3 + 3)*(-8*o**2 + 5*o**4 + 8*o**2). 18*o**5 Expand (-5 - 12*s**2 + 3*s**2 + 8*s**2)*(s**2 + 0*s**2 + 2*s**2). -3*s**4 - 15*s**2 Expand (5*j**2 - j**2 + 4*j**2)*(5*j**2 + 4*j**2 - 5*j**2) - 2*j**4 - 2 + 2. 30*j**4 Expand (-5*q**2 + 0*q**2 - 7*q + 5*q)*(4*q + 0*q - 3*q). -5*q**3 - 2*q**2 Expand (-4*c + 5*c - 2*c)*(-2*c**2 - 2 + 2) + 12 + 6*c**3 - 12 + (-2 - c**2 + 2)*(2*c + c - c). 6*c**3 Expand (-2*u + 2*u + 2*u**2 + (0*u - 2*u + 0*u)*(-3 - 2*u + 3) - u + u + u**2)*(-5*u - 5*u - 4*u). -98*u**3 Expand 2*k**5 - k**5 - 2*k**5 + (-4*k + 2*k**3 + 4*k)*(-k**2 + 2*k**2 + k**2) - k**4 - k**5 + k**4 + (-2*k - 4 + 4 - 2*k**2)*(0 + 0 - 2*k**3). 6*k**5 + 4*k**4 Expand (199*t - 2 - 98*t - 98*t)*(-2 + 4 + 0)*(1 - 4 + 6). 18*t - 12 Expand 4*w**3 - 2*w**3 - w**3 - 30*w**3 - 24*w**3 + 19*w**3 + (w - w + w)*(-2 + 2*w**2 + 2). -32*w**3 Expand (-4 + 3 + 3)*(0*b**2 + 0*b**2 - b**2)*(22*b - 11*b - 37*b). 52*b**3 Expand (-2*f - f**4 + 2*f)*(2 - 2 - 4) - 2*f**4 + 3*f**4 + 0*f**4 + (2*f + 2 - 2)*(-2*f**3 + 3*f**3 + 0*f**3). 7*f**4 Expand (1 - 1 + 4)*(-4 - 2*l + 4). -8*l Expand -30*f**3 + 188*f - 2*f**4 - 188*f - f**4 - 4*f**4 + 3*f**4 + (-2*f - 2*f + 5*f)*(-4 + 4 - f**3). -5*f**4 - 30*f**3 Expand (0 + 0 + 2*s**4)*(s - 2*s + 2*s)*(-1 - 7 - 7). -30*s**5 Expand (0 + 2 - 3)*(-5*l + l + 6*l)*(4*l**2 - 2*l**2 - 3*l**2). 2*l**3 Expand (-4*r**2 - 2*r + 2*r)*(-4 - 3 + 1)*(0*r - r + 0*r)*(-3*r + 2*r + 2*r). -24*r**4 Expand (4*b**2 - 6*b**2 - 3*b**2)*(0 + 0 - b**2). 5*b**4 Expand (-4*s**2 + 4*s**2 - 2*s**3)*(1 + 1 + 0) + 4*s**2 + 4*s + 14*s**3 - 16*s**3 - 3*s. -6*s**3 + 4*s**2 + s Expand 3*u**5 + 0*u + 0*u - 14*u + 3*u**5 + 14*u - 3*u**5 - 2*u**3 + 2*u**3 + (-2*u**2 + 3 - 3)*(-3*u**3 + 0*u**3 + u**3). 7*u**5
Let x(r) = 4*r - 164*r**2 + 160*r**2 + r + 9. Let h(m) = -m**2 + 1. Let s(d) = -3*h(d) + x(d). Give s(5). 6 Let w be -3 + 11 - 12/(0 - -4). Let i(c) be the third derivative of 0 + 3/2*c**3 + 1/60*c**w + 7/24*c**4 + 0*c + c**2. Determine i(-6). 3 Let w(l) = 9*l**2 - 12*l**2 - 3*l + 3 + 6*l. Let y(j) = 2*j**2 - 3*j - 3. Let m(g) = 4*w(g) + 5*y(g). Give m(-2). -5 Let g be (-150)/35 + 3*(-4)/(-42). Let j be (7/(14/(-4)))/(-2). Let p(m) = m + 0 + m - j. Give p(g). -9 Let t(g) = -2*g + 7. Let z(h) = 9*h - 28. Let i(u) = 4*t(u) + z(u). Let k be 4*(2*-1 - -1). What is i(k)? -4 Let g(l) = -l**2 + l - 2. Suppose 0 = -0*b - 47*b + 188. Give g(b). -14 Let l(g) = -4*g**2 - 1. Let d(q) = -q**2 - 12*q - 19. Let r be d(-8). Let n = 13 - r. Suppose 3*u + 8 - 5 = n. Give l(u). -5 Let o(q) be the second derivative of -7*q**4/6 + q**3/6 + q**2/2 - 2*q. Suppose 3*l - 23 = j - 30, -2*l = -j + 6. Determine o(l). -14 Suppose -n - 3*n - 5*m = -44, 16 = 4*m. Let d(i) = -i**2 + 7*i + 5. Determine d(n). 11 Let s(r) = -r**3 + 3*r**2 + 3*r + 2. Let j(q) = -4*q**2 + 19*q - 18. Let m be j(3). What is s(m)? 11 Let n(s) = 3*s**2 - s - 1. Let x(r) = 5*r**2 + 3*r + 1. Let m(p) = 2*n(p) + x(p). What is m(1)? 11 Let w be (-38)/4 - -8 - 10/(-6). Let i(z) be the second derivative of -1/12*z**4 + w*z**3 - 2*z + 0 + 0*z**2. Give i(-3). -12 Let i(u) = u - 20. Let q = -42 + 54. Determine i(q). -8 Suppose 2*j + 2*h = -3*h + 1, 0 = 3*h + 3. Let a be 3*1/(1/1). Let m(i) = 1 - 4*i**3 + 0*i**3 - i**2 - a*i + 5*i**3 + 2. Calculate m(j). 12 Let s(b) = 3*b - 2 + 3 - 1 + 1. Let g be (-6)/(3 + 2 + -3). What is s(g)? -8 Let w(p) = 3*p**2 - 6*p - 1. Let t = 13 + -16. Let l(y) = 2*y**2 - 6*y - 2. Suppose 3*q + 4 = 4*r, -18 = -4*r - 2. Let u(s) = q*l(s) + t*w(s). What is u(-4)? 3 Let w(d) = d + 3. Let a be w(5). Suppose 0 = 3*v + v - a. Let t(f) = 9*f**2 - 8*f**v + 0*f**3 + 2*f - 2*f**3. Calculate t(2). -8 Let u(x) be the second derivative of x**5/20 - 7*x**4/12 + x**3/6 + 5*x**2 - 16*x - 3. What is u(7)? 17 Let o(m) = -275*m + 273*m + 25 + m**3 - 27. Let u = 5 + -8. Determine o(u). -23 Let p(w) = -w + 7. Let l(x) = 1. Let d(y) = l(y) - p(y). What is d(11)? 5 Let l(c) = c**3 + 5*c**2 - 3. Suppose 10*s + 100 = -10*s. Give l(s). -3 Let r(b) = -b**3 - 2*b**2 - 2*b + 2. Let q be r(-2). Let j(d) be the first derivative of -d**3/3 + 3*d**2/2 + 6*d - 38. Calculate j(q). -12 Let t be ((-1 - 0)/((-2)/12))/2. Suppose 4*s + 28 = t*j, j + 13 = -3*s + 5. Let d(q) = q**3 + 4*q**2 - 3. Determine d(s). -3 Let y(b) = -111*b**2 - 108*b**2 + 1 - 6*b + 220*b**2 + b**3 + 4*b. Determine y(1). 1 Let m(u) = -11*u + 2. Let k(q) = q**2 - 14*q - 70. Let b be k(18). Give m(b). -20 Let r(s) be the first derivative of -s**4/4 + 11*s**3/3 - 17*s**2/2 - s - 182. What is r(9)? 8 Let s(q) = 1 - 3 + q + 0*q - 3 - 3*q**2 - q**3. Suppose -2*n = -5*a - 28, -2*n + 4*a + 20 = -n. Suppose -4*h + 0*h + 4 = 0, 0 = -n*z - h - 15. What is s(z)? 7 Let n(m) be the third derivative of -m**4/8 - 14*m**3/3 + 94*m**2 - 1. Determine n(-6). -10 Let y(o) = -o**2 + o + 1. Let a(h) = 12*h**2 - 5*h - 7. Let u(r) = a(r) + 6*y(r). Suppose 5*g + 16 = 6. Let d be g + -1 + (4 - 0). What is u(d)? 6 Let q(n) = -5*n - 2. Let k(u) = -2*u + 16. Let b be k(9). Give q(b). 8 Let d(v) be the third derivative of -v**5/60 - v**4/3 + 5*v**3/6 - 12*v**2. Let l be d(-8). Let c(p) = 3 + l - 2*p - 2. What is c(6)? -6 Let n be 4/(-10) - (-7)/(105/6). Let i(d) = -4*d**2 + 10*d + 1. Let w(k) = -3*k**2 + 7*k + 1. Let h(f) = -5*i(f) + 7*w(f). Determine h(n). 2 Let f(v) = -14*v - 2. Let w(b) = 11*b + 2. Let y(i) = 4*f(i) + 5*w(i). Give y(-10). 12 Let z be (-8)/(-2) - (0 - 0 - 1). Let n(k) = -6*k + k - 3 + k**3 - z*k**2 + k**2. Calculate n(5). -3 Let a(c) be the first derivative of c**2/2 - 5*c + 46. Determine a(5). 0 Let c be 10*1*9/18. Let r(v) = c*v - 6*v + 2*v. Determine r(-1). -1 Let r(g) = -7*g + 0*g**2 + g**3 + 4*g**2 + 0*g. Let p be (1/2*-114)/((-6)/4). Let x = p + -43. Calculate r(x). 10 Suppose -41*o + 312 = 11*o. Let f(y) be the second derivative of -9/20*y**5 - 1/12*y**4 + 0*y**3 + 0*y**2 + 0 - o*y. Calculate f(-1). 8 Suppose k - 2*k - 4*g = -1, -4*k = 2*g + 10. Let t(l) be the third derivative of -l**6/120 - l**5/30 + l**4/12 - l**3/3 - l**2 + 8. Determine t(k). 1 Let v(a) = a**3 - 15*a**2 + 16*a - 21. Let l = -496 + 510. Determine v(l). 7 Let m(u) = 2*u**2 - 12*u + 16. Let a be (-5)/35 - 2/(-14). Let o(y) = -9 + a*y**2 - 5*y**2 + 1 + 4*y**2 + 6*y. Let s(x) = 4*m(x) + 7*o(x). Determine s(6). 8 Let u = 295 - 297. Let p(q) = 2 - 3*q**2 - 2*q**2 + q**2 + 2*q**2. What is p(u)? -6 Let y be 49/7 - 0/(-4). Let u(a) = a**2 - 6*a - 15. What is u(y)? -8 Let i(q) be the first derivative of -q**4/4 + q**3 + 3*q**2/2 + q - 1. Let c(y) = -54*y - y**2 - 63*y + 115*y + 19. Let l be c(-5). Calculate i(l). -3 Let d(n) = n**3 + 6*n**2 + 4*n - 1. Let t be d(-5). Suppose -j = -t + 1. Let x be (-50)/15*j/2. Let h(v) = v**3 + 5*v**2 - v - 4. Give h(x). 1 Let s(a) = 4*a**3 - 11*a**2 - 3*a - 3. Let o(t) = -51 - 3*t**3 - 45 + 99 + 10*t**2 + 4*t. Let f(m) = -5*o(m) - 4*s(m). What is f(-5)? 12 Let b = 15 - 14. Let k(y) = -3 - 5 - 6*y + 8. Determine k(b). -6 Let g = 422 + -424. Let k(r) = r**3 - r - 2. Calculate k(g). -8 Let n(j) be the second derivative of 3*j + 0 - 1/40*j**5 - 1/6*j**3 + 0*j**2 + 0*j**4. Let w(d) be the second derivative of n(d). Give w(2). -6 Let y(f) = -48 - 50 + 2*f - 3*f + 104 + 6*f. What is y(4)? 26 Let b(v) be the first derivative of -3/2*v**2 + 3*v + 1. Suppose -2*s + 4*g = -4, -1 + 7 = 3*s + 4*g. Calculate b(s). -3 Suppose -4 - 52 = 4*w. Let a = w + 17. Let y(c) = 11*c**2 - 1 + 2*c + 3*c**3 + 4*c**a - 12*c**2 - 6*c**3. Determine y(2). 7 Let a(p) = 1061308*p + 9 - 1061307*p + 13. What is a(-10)? 12 Let n = 48 + -51. Let q(u) = u**2 - 3*u - 8. Let c(h) = h. Let t(v) = n*c(v) + q(v). Calculate t(6). -8 Let o = -316 - -322. Let h(l) = -l**3 + 5*l**2 + 6*l - 1. Give h(o). -1 Let i(t) be the third derivative of 2*t**5/15 - t**3/6 + 17*t**2 + 2. Determine i(1). 7 Let l(z) be the second derivative of -5*z + 1/6*z**4 - 1/2*z**2 + 0 + 1/20*z**5 - 1/6*z**3. Calculate l(-3). -7 Let j(x) = -20 - x**2 - 7*x - x + 46 - 21. What is j(-7)? 12 Let w = 25 - 23. Let c(v) = -3*v + w + 11*v + v**2 - 3*v. Let p be (6/5)/((-2)/10). Calculate c(p). 8 Let x = 408 - 395. Let a(j) = -j - 6. What is a(x)? -19 Suppose -4*s + s = 12. Let d be ((-16)/(-4))/s*-3. Let g(q) = -4*q + 2*q + 1 - 2*q**2 - d*q**2. Determine g(1). -6 Let b(s) = -3*s**3 + 8*s**2 - 3*s - 1. Let j(i) = i**3 - 4*i**2 + 2*i + 1. Let r(p) = -2*b(p) - 5*j(p). Give r(-5). -8 Let h(p) = p**3 - p + 8. Let t(x) = 3*x**2 + 10*x + 23. Let s(m) = m**2 + 5*m + 12. Let b(w) = 5*s(w) - 2*t(w). Let q be b(7). Determine h(q). 8 Let o(f) be the third derivative of 0*f - f**2 + 0 + 2/3*f**3 + 1/24*f**4. Let n(i) = 2*i**2 - 3*i + 1. Let j be n(1). Give o(j). 4 Suppose 21 = 4*c - j - 18, -2*j - 24 = -2*c. Let a(z) = -4*z + z + 4*z - c. Give a(4). -5 Let v(h) = h**2 - 2*h - 2. Let i be v(3). Let a(y) = -221156 + 6*y**3 + 221156. Give a(i). 6 Let c(r) = -8*r + 11*r - 2*r + 3. Suppose 4*p - 8 = -28. What is c(p)? -2 Let r be 1*(0/(-1) - 0). Let k be -2 + r - 0 - 0. Let j(v) = -v**2 - 12*v - 3 + 5*v - 2*v + 7*v. What is j(k)? -3 Let m(d) be the first derivative of -3*d + 5 + 1/6*d**4 + 2*d**2 + 5/6*d**3. Let q(o) be the first derivative of m(o). Give q(-3). 7 Let u(f) be the second derivative of -f**4/12 + f**3/2 - 3*f**2 - 8*f - 2. Give u(-5). -46 Let t(w) = 15*w + 32. Let p(a) = 7*a. Let f(k) = -3*p(k) + t(k). What is f(6)? -4 Let m(c) = -c**3 - 5*c**2 + 2*c + 4. Suppose 4*u + 14 - 34 = 0. Suppose u*l = 3*w + 4*l + 11, -3*w - 3*l = 27. Calculate m(w). -6 Let g(r) = -4 - 6*r**2 + 4*r - r - r**3 + r**2 + r. Let p be (28/(-2))/2 - -1*1. Give g(p). 8 Let z = 97 - 91. Let r(l) be the third derivative of 0*l - 2/3*l**3 + 1/60*l**5 - 1/8*l**4 + 0 + z*l**2. Determine r(5). 6 Let q(m) be the first derivative of m**2 - 2*m - 1. Suppose 2*a - 3*n = 25 - 3, 0 = 2*n. Let t = a - 6. What is q(t)? 8 Let r be (-2 - 2)*(-3)/(-3). Let f(y) = -y**2 - 5*y + 1. Let w be f(r). Let k(i) = 8 + w*i - 3*i**2 - 7 - i**3 + 2. What is k(-3)? -12 Let g(c) = 3*c**2 + 25*c + 12. Let i(p) = p**2 + 8*p + 4. Let x(l) = -2*g(l) + 7*i(l). Let z = -8 - -10. Suppose 4*h = z - 26. What is x(h)? 4 Let v(y) = -y. Let d(l) = -4*l**2 - 4*l. Let w(n) = d(n) - 6*v(n). Suppose -h - 6 = -4*i, h + 3*i - 2 = -i. Determine w(h). -20 Let w(m) = m**2 - 5*m + 3. Let k be -4*(0 - 3/12). Suppose -5*h + 4*a + 4 = k, -27 = -5*h - 4*a. Suppose -4*q + 25 = -s, h*q = -0*q - 2*s + 5. Calculate w(q). 3
Let b = 67 + -66. Let g(s) = -s - 4*s + 2*s. Give g(b). -3 Let w(m) = m**3 + 8*m**2 - 8*m + 3. Let g(n) = -n**3 + 8*n**2 - 7*n - 9. Let a be g(7). What is w(a)? -6 Let d be 36/(-44) + (384/66 - 6). Let q(c) = -5*c - 4. Determine q(d). 1 Let p(r) be the first derivative of r**4/4 + 5*r**3/3 + r**2 - 12*r + 783. Determine p(-5). -22 Suppose 0 = -5*b + 10. Suppose b*o + 24 = -2*o. Let j(x) be the first derivative of -x**2 - 7*x - 80. Calculate j(o). 5 Let c(m) = -m + 1. Let o be c(-11). Let g = -11 + o. Let f(a) = -a**3 + 5*a**2 - 5*a - 2*a**3 + 4*a**3 + g + 1. Determine f(-6). -4 Let h be (8 + 116/(-14))*-14. Let d(p) = -p**2 + 6*p - 3. Determine d(h). 5 Let c(s) be the first derivative of -s**4/4 + 6*s**3 - 8*s**2 - 158. What is c(17)? 17 Let s(l) = -3*l - 1. Let p(u) = 6*u + 1. Let r(c) = -2*p(c) - 5*s(c). Determine r(-2). -3 Let w be (-6*1/2)/(-3). Let n = 19 + -14. Suppose 4*j - 9 + w = -5*o, n*j = -o + 10. Let h(g) = 2*g - 3. Determine h(j). 1 Let r(w) = 251*w + 247*w - 493*w. Determine r(2). 10 Let s = -65 + 70. Let p(w) = -3*w - 3 + 4*w + w**2 + 0*w + 5*w. Let l(n) = -5*n**2 - 24*n + 11. Let d(u) = 2*l(u) + 9*p(u). Give d(s). 0 Suppose 0 = 3*g + 5*z + 34, -g + 2*g - 2*z + 26 = 0. Let b = 25 + g. Suppose 2*c - b = 5*x - 0*c, -2*x - 22 = 4*c. Let d(n) = -5*n - 4. Determine d(x). 11 Let o(i) = i**3 + 4*i**2 + 4*i + 4. Let z(j) be the third derivative of -j**5/15 - j**4/24 - j**3/6 - j**2. Let n = -907 + 906. Let y be z(n). What is o(y)? -12 Let s(b) = b**3 - 3*b**2. Let r(w) = -w**3 + w - 5. Let o be r(0). Let z be ((-2)/o)/(2/50). Suppose -4*p + z = -n + 21, 2 = -p. Give s(n). 0 Let c(r) = 3*r**3 - 2*r + 1. Let y(v) = -v**3 + 15*v**2 - 12*v - 33. Let h be y(14). Let z be 4 + 0 - (-10)/h. What is c(z)? 21 Let l(b) be the first derivative of 5*b**4/4 + 2*b**3/3 - b**2 + b - 1. Let x be 9 + 12*24/(-36). Determine l(x). 6 Let g(a) = a**3 - 2*a**2 + a - 1. Let r(h) = -40*h**3 - 11*h**2 + 4*h - 5. Let j(n) = 5*g(n) - r(n). Calculate j(-1). -45 Let i(v) = -5*v**2 + 2*v - 2. Let p = 0 + 3. Let j(y) = 3*y**2 + 2*y**2 - p*y + 3*y + 3 - 2*y. Let g(l) = -4*i(l) - 3*j(l). Determine g(-1). 6 Let a(g) = 688*g + 451*g - 1136*g + 2. Suppose -3*d + 6*d + 9 = 0. Calculate a(d). -7 Let z(b) be the first derivative of -b**3/3 + 8*b**2 - 15*b - 127. Calculate z(12). 33 Let t(o) be the third derivative of -o**4/8 + 9*o**3/2 + 2*o**2 - 1. Determine t(11). -6 Let h(k) = k**2 + k - 21. Let z be h(0). Let w be ((-12)/(-14))/(3/z). Let i be ((-14)/w + -3)*6. Let t(x) = x**2 + 3*x - 1. Determine t(i). 3 Let z(m) = -m - 7. Suppose 2*y + 3*n + 1 = -4, 4*y + n + 25 = 0. Let a be 3*(-2)/6 + y. Calculate z(a). 1 Let y(p) = -4*p**2 + 12*p + 9. Let k(b) = -3*b**2 + 11*b + 4. Let c(j) = 3*k(j) - 2*y(j). Let s be 52/9 - (-8)/36. Give c(s). 12 Let c(p) = -p + 1. Let d(x) = -8*x + 4. Let b(f) = 5*c(f) - d(f). Suppose -3*i + 11 = 5*l, 0 = 3*i - 5*l - 0*l - 1. Let w be -2*i + 10 + -7. What is b(w)? -2 Let f = 2 + 1. Let d(v) = 923 + v**2 - 235 - 227 - 227 - 232. Give d(f). 11 Let f(n) = -n**2 + 10*n + 11. Let d be f(11). Suppose d = y - 11 + 7. Let k(o) = -o**2 + 6*o - 2. What is k(y)? 6 Suppose 2*o + 2*u + 4 = 0, 3*o = -5*u + 1 - 5. Suppose -2*r = 2*r - 8. Let v(c) = 4*c - 21. Let s(w) = w - 7. Let t(l) = r*v(l) - 7*s(l). Determine t(o). 4 Let n(t) = -t**2 - 5*t + 3. Let a be 8*2/(2/3). Suppose -z = 4*o + 3*z + a, 10 = -5*o + 5*z. Determine n(o). 7 Let v(m) = -2*m**2 - 4*m - 2. Let s be v(1). Let u(b) = 2*b + 15. What is u(s)? -1 Let n(m) = -m**2 - 9*m - 8. Let h(u) = -3*u**2 - 19*u - 15. Let c(l) = 2*h(l) - 5*n(l). What is c(10)? -20 Suppose -2*t + 8 = -5*m, -3*t + 10 + 2 = 4*m. Let o(x) = -x**3 + t*x**2 + 2 - 4 + x**2 + 4. Calculate o(5). 2 Let x = 449 - 454. Let u(g) = -2*g - 6. What is u(x)? 4 Let n(a) = 12*a + 3*a**2 - 8 + 4*a**2 + 2*a**3 + a**3 - 4*a**3. What is n(8)? 24 Let a(h) be the third derivative of h**4/24 + 3*h**3/2 + 4*h**2 - 25. Determine a(10). 19 Let j = 835 - 832. Let i(o) be the second derivative of -3*o + 0 + 1/6*o**j - o**2. Calculate i(-6). -8 Let u(v) = v**3 - 15*v**2 - v + 14. Suppose 0*a + x = -4*a + 61, -3*a + 4*x = -41. What is u(a)? -1 Let s(q) = -5*q**3 - 3*q**2 + 8*q + 7. Let c(z) = z**3 - z**2 - 1. Let t(r) = 4*c(r) + s(r). Calculate t(-8). 3 Let i(q) = q**2 - 3*q - 4. Let t = -32 - -34. Let x be (3/(-9) + t)*3. Suppose -x - 7 = -2*p. Give i(p). 14 Let w(u) = -2*u - 1. Let b(t) = t**3 - 11*t**2 + 11*t - 7. Let k be b(10). Suppose -4*f + f = 3*y + 3, k*y - 1 = f. Calculate w(f). 1 Let z(j) = -2*j - 17. Let q(n) = -n**2 - 17*n + 11. Let f be q(-18). Determine z(f). -3 Let t(o) = -7*o**2 - 2*o + 17. Let f(b) = -4*b**2 + 9. Let s(c) = -5*f(c) + 3*t(c). Let j be s(0). Let x(p) = -p**3 + 5*p**2 + 5*p + 1. Give x(j). -5 Let j(k) = -3*k + 3. Let z(h) be the second derivative of -h**3/6 - 5*h**2 - 5*h. Suppose -7*m - 30 = 68. Let i be z(m). Calculate j(i). -9 Let u(l) = l - 13. Let g be u(-8). Let f = 16 + g. Let c(b) be the third derivative of -b**5/60 - 5*b**4/24 + 2*b**2. Determine c(f). 0 Let w(s) = 4*s + 3 - 3 - 1. Let u = 9 + -6. Suppose i + 13 = -3*g, 5*i + u*g + 13 = -4. Calculate w(i). -5 Let n(u) = 12*u - 87. Let y = 537 + -530. Calculate n(y). -3 Let v(l) = l**3 + 2*l**2 - 2*l + 4. Let g be -4 - (15/(-3))/5. What is v(g)? 1 Let q(z) = -3*z - 1. Let m(b) = 2*b - 1. Let i(s) = -m(s) - q(s). Let r = -20 - -10. Calculate i(r). -8 Let o(w) = -w. Suppose -5*j + 36 - 11 = 0. Let d = j - 5. Suppose -2 = -d*a + 2*a. Determine o(a). 1 Let r(z) be the third derivative of 0 - 1/3*z**3 + 3*z**2 - 1/24*z**4 + 0*z. Let q be -7 - (-10)/15*(4 + -1). Determine r(q). 3 Let b(g) = -g + 11. Suppose 129 = 3*v - 39. Let s = 56 - v. Determine b(s). 11 Let b(t) be the third derivative of t**4/24 + t**3/3 + 4*t**2. Let d(f) = 5*f + 42. Let l be d(-10). Give b(l). -6 Let d(k) = 5 + 12*k + 9 + 6*k**2 - 5*k**2 + 19 - 22. Determine d(-11). 0 Let j(v) = v - 7. Suppose 41 = 3*l - 4*f, 4*l - 18 = -5*f + 16. Give j(l). 4 Let k(u) = 2*u + 220*u**2 + 212*u**2 - 437*u**2 - 1 + u**3. Give k(4). -9 Let o = 109 - 86. Let v(h) = -1 + 17*h**2 - 8*h - o*h**2 + 4 + 7*h**2. Determine v(8). 3 Let r(d) be the second derivative of d**5/20 + d**4/2 - d**3/6 + d**2 + d. Let a(p) = -6 - 1 + 4 + p + 5. Let k be a(-8). What is r(k)? 8 Let y(s) be the first derivative of -s**4/4 + 4*s**3/3 + 2*s**2 - s - 117. What is y(5)? -6 Let r(i) = 14*i**2 - 12*i - 12. Let c(t) = 5*t**2 - 4*t - 4. Let w(u) = 8*c(u) - 3*r(u). Give w(5). -26 Let x(q) = -q**2 - 3*q + 2. Let t(r) = r**3 + 7*r**2 + 7*r + 8. Let i be t(-6). Suppose -4*h - 6*h = -20. Suppose 0 = i*a + 4, -u + 0*u = -h*a. What is x(u)? -2 Let r(j) = 3*j - 7. Let t(p) = -4*p - 29. Let n be t(-8). Let i be r(n). Let m(u) = -7*u + 2. What is m(i)? -12 Let t(z) = -z**2 - 20*z + 5. Suppose 0 = 21*q + 352 + 68. Calculate t(q). 5 Let b(g) = -g**2 + 6*g + 5. Suppose 0 = 2*z - 5*h + 80, 2*z - 2*h + 74 = -0*h. Let x = 42 + z. Calculate b(x). -2 Let g(i) = 34*i**3 + 2*i**2 + i. Suppose 14 = -12*z + 2. Give g(z). -33 Let j(s) = -5*s - 1. Let t be -7 - (-4 + -3 + 5). Let h(i) = 2*i + 8. Let r be h(t). Calculate j(r). 9 Let c(l) = 3*l**3 - l**2 + 4*l + 4. Let r be c(-1). Let k(h) = -2*h**2 - 6*h - 3. What is k(r)? -11 Let n(f) = 163 - 187 + 20*f - 22*f. What is n(-9)? -6 Let t(x) = x - 4. Let s be (-5)/(-8 + -2)*6. Let v be s*1/((-4)/(-4)). What is t(v)? -1 Let t(f) = -10*f**2 + 5*f + 4. Let v(r) = -3*r**2 + 2*r + 1. Suppose -3*o = s + 16, -2*s + 25 = -5*o - 4*s. Let y(w) = o*v(w) + 2*t(w). Give y(3). -2 Let a(l) = -2*l**3 - 8*l**2 + 25*l + 5. Let r be a(-6). Let i(n) = -2*n + 4. What is i(r)? 6 Let q(r) = -27*r + 22. Let u(t) = -9*t + 8. Let w(j) = 3*q(j) - 8*u(j). Determine w(4). -34 Let n(f) = -f**2 - f - 3. Suppose -5*d = 2*v - 10, 3*d - 2*d + 2*v + 6 = 0. What is n(d)? -23 Let f(b) = b**2 + 8*b + 14. Let i = -440 + 434. What is f(i)? 2 Suppose -5*z - p - 4*p = 10, -8 = 2*p. Let a(d) = 3*d**2 - d. Let w be a(1). Let r(m) = -136*m**2 + m + 68*m**2 - 2*m + 69*m**w. Calculate r(z). 2 Let k(o) = -2*o**3 - 2*o**2 + o + 2. Let f be k(-2). Let z be -6*-2*(-4)/f. Let x(c) = -c**3 - 5*c**2 + 4*c - 6. What is x(z)? 6 Let t be (70/28)/(3*2/12). Let b(q) = -3*q**3 + 4*q**2 + 18*q + 1. Let l(p) = p**3 - p**2 - 6*p. Let i(g) = 3*b(g) + 8*l(g). Calculate i(t). 8 Let h be ((-6)/(-9))/((-6)/(-531)). Let b = h + -64. Let a(k) = -2*k - 5. Determine a(b). 5 Suppose 0 = 2*t + t - 9. Let k(b) = -3*b + 2*b + 5 + t - 4. Let x(a) = -a**3 + a**2 + 3*a + 4. Let p be x(3). Calculate k(p). 9
Let t be 15/25 + 44/10. Let a(c) = 32*c - 11. What is the hundreds digit of a(t)? 1 Suppose 5*i + i = -774. Let j = 188 + i. What is the tens digit of j? 5 Let k = -277 - -291. What is the tens digit of k? 1 Let x(c) = c**3 + 10*c**2 + c + 1781. What is the units digit of x(0)? 1 Let u = 177 + 33. Suppose -u = 2*b - 4*b. What is the hundreds digit of b? 1 Let t = -29 + 225. What is the tens digit of t? 9 Let i = -4406 + 8698. What is the thousands digit of i? 4 Suppose -b - 1 = -0. Let g(d) = -204*d**3 - 2*d - 1. What is the units digit of g(b)? 5 Let w = 121 + -44. Let b = w + -56. What is the tens digit of b? 2 What is the hundreds digit of (3/(-1) - -1785) + 38/19? 7 Let g = -1300 + 2231. What is the units digit of g? 1 Let c(m) = m - 5. Let j be c(5). Let a = -197 + 230. Suppose j = 5*b - 5*l - 40, 2*b - 4*l + 11 = a. What is the units digit of b? 5 Let y(l) = -l**2 + 6*l + 3. Let p be y(7). Let f be (-6)/p + 180/(-24). What is the tens digit of f/(-15) + 1572/20? 7 Let i(t) = 31*t**2 - 4*t - 42. What is the tens digit of i(-5)? 5 Let t = 35 + -63. Let k(d) = -10*d - 97. What is the hundreds digit of k(t)? 1 Suppose 0*v + 58 = -2*v. Let n = v - -50. Suppose 0 = 5*d + n - 1, 4*u + 3*d - 28 = 0. What is the units digit of u? 0 Suppose 27*t = 60227 - 7037. What is the thousands digit of t? 1 Let m be -1*(-6)/(-10) + (-76)/(-10). Suppose 6 = -2*k, m*y - 160 = 3*y - 4*k. What is the units digit of y? 3 Suppose -2*i = 8*i - 4920. What is the hundreds digit of i? 4 Suppose 7*r - 2921 + 177 = 0. What is the units digit of r? 2 Let i(u) be the second derivative of -u**5/20 + 198*u**2 - 8*u. Let z be i(0). Suppose -z + 86 = -5*t. What is the units digit of t? 2 Let n(c) be the first derivative of c**4/4 - 11*c**3/3 + 5*c**2 + 3*c + 5. Let u be n(10). Let r(v) = 10*v - 2. What is the units digit of r(u)? 8 Let h = 19 - -879. What is the units digit of h? 8 Let r = -22 + 61. Suppose -2*s = -d + 50, 46 = 2*d - s - r. What is the tens digit of d? 4 Let m = 61 - 53. What is the units digit of 1 - 2 - m*(0 + -12)? 5 Suppose -2*v + 2*g = 128, 130 = -5*v - 3*g - 214. Let y = 34 + v. Let q = y + 38. What is the units digit of q? 5 Suppose 5*z + 17 = -58. Let j = 17 + z. Suppose j*r + 6 = 50. What is the units digit of r? 2 Let h = 812 - -39. What is the hundreds digit of h? 8 Suppose 0*r = -4*r. Let n(i) = 2*i**2 + 4*i - 42. Let y(l) = l**2 + 3*l - 41. Let w(u) = 2*n(u) - 3*y(u). What is the units digit of w(r)? 9 Suppose -21*h + 20*h + 2 = 0. Let j(k) = 3*k**3 - 2*k**2 - k - 2. What is the tens digit of j(h)? 1 Suppose 325 = q + 4*s, -q + 4*s = -216 - 93. What is the tens digit of q? 1 Let w(y) = 3*y**3 - 15*y**2 + 20*y - 89. What is the tens digit of w(10)? 1 Suppose 5*p - 7*o = -9*o + 8876, -2*o = -3*p + 5316. What is the units digit of p? 4 Let c be ((-25)/10)/((-1)/2). Suppose -n = 5*f - 4 - 10, 3*n - 2 = c*f. Suppose -6*k - 18 = -f*t - 4*k, 30 = 3*t - 4*k. What is the units digit of t? 6 Let j be 4 - ((0 - 2) + -30). Let w = j + -30. What is the units digit of 12/(w/2) + 38? 2 Suppose -5*g - 50 = 5*t, -4*t - 35 = -t + 4*g. Suppose a - 5*a = -4*s - 32, 5*a + s = 70. Let u = t + a. What is the units digit of u? 8 Suppose -234*n = -230*n - 3712. What is the tens digit of n? 2 Suppose 6*l = 3*l - 2*c + 10, -4*l - 2 = -5*c. Suppose 94 = 2*o - l*w, 0 = -3*o - w - 43 + 168. What is the tens digit of o? 4 Let s(d) = d**3 + 4*d**2 - d + 2. Suppose k + 9 = -w, 2*w + 16 = 3*w - 4*k. What is the units digit of s(w)? 6 Suppose -3*u = -u - 12. Let k(s) = 8*s - 13. What is the units digit of k(u)? 5 Suppose -5*a + 4*b + 897 = 2*b, -3*b = -a + 169. Let t = a + -44. What is the tens digit of t? 3 Suppose -g + 3*p + 17 = 0, -5*p + 19 = 2*g - 4. Let t(z) = -2 - z**3 - g*z + 2*z**3 - 2 - 6*z**2. What is the units digit of t(8)? 2 Let t(j) = 12*j - 3. Let a be t(-6). Suppose 3*g - 2*g = k + 7, 3*g = -2*k + 1. What is the units digit of (-3 + 2)/(g/a)? 5 Suppose 3*i = -4*j + 20 - 2, -2*j + 20 = -4*i. Let g be (-174)/(-45) - j/(-45). Suppose -k - h + 43 = 3*k, g*k - 4*h = 28. What is the tens digit of k? 1 Suppose 0 = 14*o - 18*o. Suppose j = -4*h - o*j + 182, 3*j = 5*h - 236. What is the units digit of h? 6 Let f be (60 + 1)/((-13)/(-52)). Suppose -l = 5*w - f, -3*w + 721 = 3*l + w. What is the tens digit of l? 3 What is the units digit of (-12 - (-3200 + -8)) + 1/(-1)? 5 Let q(c) = -2*c**3 - 7*c**2 - 6*c - 5. Suppose 0 = 3*j - 5*s + 12, 5*j + 2*s = 1 - 21. What is the tens digit of q(j)? 3 Let a be 0 - (4 - 2) - -2. Suppose -2*g + 62 + 110 = a. Suppose 5*p - g = 94. What is the tens digit of p? 3 Let h = 2463 - 1531. What is the units digit of h? 2 Let d(j) = -j**2 + 11*j - 5. Let i be d(10). Suppose -i*h - 15 = -0. What is the units digit of 39 + (0 - 1) - h? 1 Let t be 102/1 + (-13 - -10). Let q = t - 49. Suppose 4*g + q = 5*g. What is the units digit of g? 0 Suppose u + 2*b + 7 = 0, -2*u - 36 = -5*b + 14. What is the hundreds digit of (-30)/u - (-147 - 0)? 1 Suppose 4*d = -3*q + q + 16, d - 2*q = 4. What is the units digit of d? 4 Let z = 247 + -107. Let u = 272 - z. What is the hundreds digit of u? 1 Suppose -2*b = 5*t - 2615, -2092 = -4*t - 9*b + 4*b. What is the units digit of t? 3 Suppose -4*y + 9 = -y. Let a be (y + -2)*(5 + 1). Let m(i) = 2*i + 8. What is the tens digit of m(a)? 2 Let o(a) = 7*a**2 - 4*a + 5*a - 2*a - a**3 - 2*a - 2. What is the units digit of o(5)? 3 What is the hundreds digit of (-8)/(-10)*(2735 + 45)? 2 What is the tens digit of (-93654)/(-143) + 2/26? 5 What is the tens digit of ((-126)/36)/((-2)/128)? 2 Let v = 50 + -121. Let r = v + 131. What is the tens digit of r? 6 Suppose -3*t = -5*p + 2 + 8, 5*p - 2*t = 10. Suppose -a + 3*w = -p*w - 40, -3*a + 142 = -4*w. Suppose -6*v + a = -v. What is the tens digit of v? 1 Let v = 667 - 962. Let f = v - -472. What is the hundreds digit of f? 1 Suppose 8*n - 3*n - 2*s - 15040 = 0, 2*n - 4*s = 6032. What is the units digit of n? 6 Suppose 4*r + 3 = -29. Let m = 13 + r. Let o(y) = 7*y. What is the tens digit of o(m)? 3 Let w(i) be the first derivative of -i**3/3 - 21*i**2/2 - 3*i - 24. What is the units digit of w(-18)? 1 Suppose 3*m = -3*m + 18. Suppose -2 = m*z - 23. Let a = z - -7. What is the tens digit of a? 1 Let z(x) be the third derivative of -x**5/60 - 5*x**4/12 + 4*x**3/3 - 5*x**2. Suppose 6*f - f + 5*u = -45, -2*f - 17 = u. What is the units digit of z(f)? 4 Let h(c) = -4*c**3 - 4*c**2 - 4*c - 11. What is the tens digit of h(-4)? 9 Let a(s) = -42*s + 10. Let t be a(-17). Suppose -896 = -5*m + 2*l, -2*m = -6*m + 4*l + t. What is the units digit of m? 8 Let x = -175 - -1160. What is the units digit of x? 5 Let c(g) = -g**3 - 13*g**2 - 13*g - 40. What is the units digit of c(-13)? 9 Suppose 0*p - 194 = -2*p - 5*l, 0 = -4*p + 2*l + 412. What is the units digit of p? 2 Suppose -184 = -7*x - 2. Let c = 11 + x. What is the tens digit of c? 3 Let w be -3*(-2 + (-429)/9). Suppose 5*s - 41 = w. Suppose 4*u - 2*u - s = 0. What is the units digit of u? 9 Suppose 68*f - 186546 = 2970. What is the hundreds digit of f? 7 Suppose 0 = -3*j + 1243 - 178. Suppose 5*a + 0*p = 5*p + j, -4*p - 360 = -5*a. What is the tens digit of a? 7 Let r(t) = -2*t**3 + 33*t**2 - 82*t + 6. What is the hundreds digit of r(13)? 1 Let z(p) = -p**2 - 6*p + 4. Let t be (-6)/14 + (-390)/70. Let r be z(t). Let n(v) = 4*v**2 + 2*v + 4. What is the tens digit of n(r)? 7 Let d(k) = 8*k**2 + 19*k - 10. What is the thousands digit of d(14)? 1 Suppose 4*t + 96 = -4. Let u = t + 31. What is the units digit of u? 6 Let r(g) = 8*g**3 + 8*g**2 - 9*g + 4. What is the units digit of r(6)? 6 Let f = 13 + -9. What is the units digit of -1 - (-29 - f/(16/(-12)))? 5 Let t(f) = -f**2 + 14*f + 15. Suppose -h - 77 = -8*h. What is the units digit of t(h)? 8 Let d = -42 + 285. Let b = 387 - d. What is the hundreds digit of b? 1 Let k(u) = -u**3 + 6*u**2 - u + 8. Let p(a) = a**2 - a + 6. Let z be p(0). Let m be k(z). Suppose m*f - 6 = -f. What is the units digit of f? 2 Suppose 3*w - 1788 - 15 = 0. Let z = 860 - w. What is the units digit of z? 9 Let b = -728 + 1282. What is the units digit of b? 4 Suppose 5*b = l - 41, 4*l = -b + l - 21. Let r(p) = p**2 + 10*p - 11. Let x be r(b). What is the units digit of (100/3)/(x/(-30))? 0 Let z(g) = g**2 - 9*g. Let f be z(7). Let x(h) = -4*h - 14. What is the units digit of x(f)? 2 Suppose -4*x = 4*t - 476, 0 = x + 2*x - 12. Suppose -2*b - i + 37 = 0, b + 4*b - 2*i = t. What is the tens digit of b? 2
Solve 2*d - 276 + 332 = 0, v + 11*d = 6*d - 141 for v. -1 Solve -25*z - 5*a = -30*z - 5, -z = -11*a + 21 for z. 1 Solve 4*o - 36 = 4*d, -969*o - 18 = d - 967*o for d. -12 Solve 3*l + 4*s = -25, -1032*l + 1036*l + 8 = s for l. -3 Solve 7*c + 3*g = 9*c - 2, -3*g = 6 for c. -2 Solve -2*t - z + 9 = 0, 56*z = 11*t + 51*z - 60 for t. 5 Solve -3*x = 3*m + 21, 7*x + 52 = -3*m + 19 for x. -3 Solve -11 = 2*j + 5*u, -5*u - 25 = -3*j + 21 for j. 7 Solve 35 = 5*c - 4*t, 446*c - 449*c - 6 = 3*t for c. 3 Solve -24 = 2*o - 5*x, 13*o + 34 = 29*x - 27*x for o. -2 Solve -38*o - 32 = -3*z - 42*o, z + 48 = 6*o for z. 0 Solve 8*n + 20 = 9*n + 23*j - 27*j, 3*j + 50 = -8*n for n. -4 Solve 3*v - 7*k = -9*k - 8, 4*v + 4 = -k for v. 0 Solve 0 = 2*i + 2*n - 8, -2*n + 5 = -160*i + 161*i for i. 3 Solve 31 = -18*p - 5*r - 5 - 49, 3 = 3*r for p. -5 Solve 3*w = 4*v - 21, -w = -47*v + 46*v + 7 for w. -7 Solve -4*n - 166 + 222 = 0, 5*n - 72 = q for q. -2 Solve -5*t + 22 = -2*f, 12*t - 7595*f + 7599*f = 0 for t. 2 Solve 4*m - 3*t + 11 = 0, 2*m - 37*t + 42*t = -25 for m. -5 Solve -3402*t - 120 = -3407*t - 5*u, -3*u - 68 = -4*t for t. 20 Solve -w - 4*d - 28 = -7, -14*w - 74 = d for w. -5 Solve 833*t = 3*w + 836*t + 12, -4*w + 12*t + 80 = 0 for w. 2 Solve 3*j + 21 = -3*f, -6365*f + j + 13 = -6363*f for f. 2 Solve 5*u + 9402 - 9414 = 8*j, -5*u = j + 24 for j. -4 Solve -14*g - 475 + 401 = 2*p, 3*g = -p - 17 for g. -5 Solve 3*w + 14*r - 13*r + 20 = 0, 0 = -5*w + r - 20 for w. -5 Solve -q + 0*a - 4*a = 0, 2*q + 6*a + 57 = 55 for q. -4 Solve -4*r - 10 = -2*x, -289*r + 293*r = x - 13 for x. -3 Solve -43*m + 38*m = 2*i - 6*i - 26, 2*i = -8 for m. 2 Solve -3*d - 6*x - 6 = 0, 0 = -433*x + 434*x - 1 for d. -4 Solve -527*m + j = -528*m + 9, 5*m + 3*j = 35 for m. 4 Solve 7*w = 8*w - 2*h - 18, -5*w - 78 = 158*h for w. 16 Solve -111*b + 110*b + c + 8 = 0, 2*c - 9 = -3*b for b. 5 Solve -84*r + 5 = -89*r, r + 29 = 7*v for v. 4 Solve 3*n = 5*g + 8, -n = 4*g + 179 - 176 for n. 1 Solve -5*c = -7*p - 7, 432 = -4*p + 428 for c. 0 Solve 3*f - 11*f + 2*p - 24 = 0, -p = 4 for f. -4 Solve 0 = -5*d + 2*r - 24, 32*d = 35*d + 3*r - 15 for d. -2 Solve v = -4*c - 15, -3077*c + 3075*c - 6 - 1 = v for c. -4 Solve 15 = 2*i - 5*t, i - 7*t + 192 = 177 for i. 20 Solve 10 = -2*z + r, 3*z + 15 = 98*r - 93*r for z. -5 Solve b + 5*l + 7 = 0, 10*b - 2*l = 7*b + 13 for b. 3 Solve 113 = -4*z + 5*k + 148, 2*k = -14 for z. 0 Solve -2*z = -270*g + 265*g - 2, g + 22 = -5*z for z. -4 Solve -2*n + 26*g - 21*g - 22 = 0, -4*n + 2*g = 12 for n. -1 Solve 5 = u + g, -487 + 499 = 3*g for u. 1 Solve 0 = 3*o + q + 62332 - 62349, 4*q - 28 = -4*o for o. 5 Solve 2*h - 7 = -3*r, 32*h - 25 = 20*h - r for h. 2 Solve -2*y = 3*z - 21, -y + 435 = z + 428 for y. 0 Solve z - 3*q = -16, -127*q + 122*q = -z - 26 for z. -1 Solve 3*n = -4*k + 30, 4*n = -387*k + 388*k + 21 for k. 3 Solve -5*r = -2*z + 9, 9*z + 24*r + 18 = 27*r for z. -3 Solve 4 = -5*n - x, 3*n - 277*x = -276*x - 20 for n. -3 Solve 3*f = 2*p + p + 48, 5*f = -15 for p. -19 Solve 0 = -3*n - 5*r - 11, r + 1305 = 3*n + 1292 for n. 3 Solve 4*z + 3*u = -18, -288*z = -290*z + 2*u - 16 for z. -6 Solve 5*s + 3*s = 2*x - 100, -42 = -5*x + 4*s for x. -2 Solve -9*q - 21 = -5*r, 2317*r = 2321*r + 12 for q. -4 Solve 2*l + 242*i - 240*i = 6, -4*l + 12 = -2*i for l. 3 Solve -3*h - f - 8 = 0, -3*h - 12 = 224*f - 221*f for h. -2 Solve 2*w = 10, 8888*x - 8893*x + 5*w - 70 = 0 for x. -9 Solve c = 4*u - 65, 6*u = -4*c - 1255 + 1325 for u. 15 Solve a + 2*g = -18, a = 66*g - 63*g + 27 for a. 0 Solve 0 = 3*v + 4*p + 14 - 7, 5*p - 1 = -7*v for v. 3 Solve 0 = m - k - 5, 238*k - 235*k + 6 = 0 for m. 3 Solve -24 = -10*k + k - 3*x, -4*k - 3*x = -9 for k. 3 Solve -y - 8 = -2*z, 0 = -5*z - 3*y + 47 - 49 for z. 2 Solve -2*c - 46 = 36*k - 47*k, 0 = 4*c + 4 for k. 4 Solve -114*i + 113*i + 3 = -f, 2*f = -i for f. -1 Solve 8*v = -5*t + 10*v - 112, 5*v - 268 = 12*t for t. -24 Solve -3 = 3*i, -26*d + 5*i = -2709 + 2626 for d. 3 Solve -9 = 2*i + t, 8*t - 20 = -3*i - 1 for i. -7 Solve 4*m + 21 + 11 = -4*j, -4*j + 13 = -5*m for m. -5 Solve -4*i + 5*f - 71 = 0, -2*f - 553 = -i - 573 for i. -14 Solve 20*w = 4*i + 24*w + 8, -5*i - 10 = 2*w for i. -2 Solve -12*j + 5*f - 55 = -11*j, 5*j = 4*f - 65 for j. -5 Solve 0 = 3*f + 5*r + 17, 0 = 6*f - 135*r + 133*r + 22 for f. -4 Solve 54 - 36 = -j - 5*v, 4*j = -3*v - 21 for j. -3 Solve 0 = 3*w + 5*a + 98, 63857*a - 63854*a = -3*w - 54 for w. 4 Solve 5*d - 30 = x - 13, 5*d - 5 = -5*x for x. -2 Solve -2*p = -4*i + 4, 21*i + 2 = 4*p - 3 for i. -1 Solve 5*v + 11*o = -31, 4*v + 42 - 22 = -4*o for v. -4 Solve 2*o - 3*d - 15 + 7 = 21, -5*d = 88 - 73 for o. 10 Solve -3*w = 4*r - 4, 2494*w - 2497*w = 5*r - 2 for r. -2 Solve 4*k + b = -131 + 133, -2*b + 4 = 0 for k. 0 Solve -5*r - 15 = 19*m - 14*m, -4 = -4*r for m. -4 Solve 0 = 2*z - 5*s + 15, 0 = 4*z - 138*s + 141*s - 9 for z. 0 Solve 2*z - 52*q + 16 = -54*q, q + 5 = 1 for z. -4 Solve 0 = 2*k + 4*s + 8, 2*k - 11*s + 2 = -13*s for k. 2 Solve 72 - 38 - 14 = 4*l, 0 = -4*x + 3*l - 31 for x. -4 Solve 5*x = 23*s - 20*s + 36, 0 = 3*s - 2*x + 27 for s. -7 Solve 78 = 3*i + 3*t + 102, i = -3*t - 14 for i. -5 Solve 5179*r - 4 = 5180*r + s, -5*r - 15 = 4*s for r. 1 Solve 2*z + 106 = -s + 93, -9*z - 68 = -5*s for z. -7 Solve 3*j - 4*t = 51 - 28, -3*j - 4*t = -7 for j. 5 Solve 4*d = -3*v + 10, 3*d + 44 - 57 = -5*v for v. 2 Solve -548*w = -545*w - 3, 3*w + 3 = 3*h for h. 2 Solve -5*s = 3*r + 13, -12634*s + 12633*s - 11 = 2*r for s. 1 Solve -8 = -5*i - z, -5*i - 5*z - 22 = -2 for i. 3 Solve 0 = 41*b + 32*b + 146, 0*b = -3*d + 5*b - 2 for d. -4 Solve -24812*c = -24807*c + 5*u + 10, -c - 2 = 5*u for c. -2 Solve 3*a + 3 = -321*t + 325*t, -2*t = 5*a + 5 for t. 0 Solve -t = s - 12, 15*t + s - 722 = -710 for t. 0 Solve -3*x - 14 = t, 6*x - 11*x = 2*t + 23 for x. -5 Solve -w = -156*x + 152*x + 4, 3*w - 3*x = -12 for w. -4 Solve 3*b + 22*o = 24*o - 29, 4*b = 2*o - 34 for b. -5 Solve -5*h = 2*r - 10, 2*r - 7*h + 481 = 539 for r. 15 Solve 2*g - 5*s = -15, -3*g = 14*s - 7 - 78 for g. 5 Solve -28 = -2*l - 0*u + 4*u, 0 = 2*l + u + 2 for l. 2 Solve -4*y + l = -11, -16*y + 11*y = 4*l + 2 for y. 2 Solve 0 = -2*w + 3*f - 23, 3*w = 1714*f - 1713*f - 10 for w. -1 Solve -2*j = -3*w + 5 - 4, 0 = -4*j + 3*w - 11 for j. -5 Solve 3*t + 3 = 2*h, -2*t - 132*h = -265*h + 130*h + 12 for t. 3 Solve 795*u - 796*u - 3*v + 18 = 0, -u + 3*v - 12 = 0 for u. 3 Solve 0 = -11*l - 3*f + 17, 6882*l + 6 = 6878*l + 5*f for l. 1 Solve 12*b - f - 51 = -0*f - 0*f, -2*b = 3*f + 1 for b. 4 Solve 3*n = 5*u - 15, -2*u - 636 = 5*n - 642 for n. 0 Solve -34 = 4*f + 4*s - 62, 5*f + 78*s - 254 = 0 for f. 4 Solve 2*k = 2*y - 19 + 9, 4*y + 2*k = 14 for y. 4 Solve -4*p - 3*s - 35 = 0, p - 77 = -5*s - 124 for p. -2 Solve 21*f - 20*f + 4*i = -7, 4*f - 3*i - 10 = 0 for f. 1 Solve -184*m + 185*m = -4*i + 10, -4*i = -2*m - 28 for m. -6 Solve -88*m + 8 = -92*m - t, 0 = 2*t + 8 for m. -1 Solve -5*r + a + 113205 - 113190 = 0, -2*a = -5*r + 10 for r. 4 Solve -7*t + 37 = 10*f - 6*f, 5*f = -4*t + 13 for f. -3 Solve -3*c + 549*y = 548*y + 8, 11*c + 4*y + 60 = 0 for c. -4 Solve 3*c = 4*v - 17, 29061 = -3*v + 2*c + 29074 for v. 5 Solve 0 = 2*t - 3*x - 10, -43*t = -45*t + 2*x + 10 for t. 5 Solve -4*x = -3*z - 13, 16*z = 42*x + 13*z - 165 for x. 4 Solve -2*a - 4*n = 30, -5*a - 10*n = -12*n + 15 for a. -5 Solve -6*l - 3*x = -39, 10*l - 23 = 6*l + x for l. 6 Solve -r - 26 = 7*s, -r = -4*s + 282 - 278 for s. -2 Solve 5*u - 45 = 5*b, 0 = -5*u - 44*b + 48*b + 40 for u. 4 Solve -2*j + 3*c = 6, 34*c = -5*j + 30*c + 31 for j. 3 Solve k = -3*p + 12, 22*k - 24*k = 8*p - 34 for p. 5 Solve -2*d - 4*y + 2566 = 2522, -3*d - 2*y = -46 for d. 12 Solve 2*w - 5*w = -12, 2*w = -5*i + 5*w + 13 for i. 5 Solve 3*o = h - 15, -5*o + 1735 = -3*h + 1780 for h. 15 Solve 5*n + 3*i + 1 = 0, -i - 9 + 7 = -4*n + 4 for n. 1 Solve -7 = m - 4*q, 5*m + 187*q = 183*q - 11 for m. -3 Solve -3*n = -4*g + 25, 3*g + n = 5*g - 15 for g. 10 Solve n - 17 = 5*b - 10*b, -2*n - 26 = -5*b for n. -3 Solve 4*o + 72 = -4*g, 560*g - 40 = 555*g + 5*o for g. -5 Solve -4*j + 17*t = 16*t + 9, 3*j + 9*t = 42 for j. -1 Solve -106 - 245 = -16*i + x, -49 = -2*i - 5*x for i. 22 Solve -38*q + 39*q - 3*n = 11, -5*n - 10 = 0 for q. 5 Solve j - o - 2716 = -2*j - 2712, 2*j = -7*o - 28 for j. 0 Solve -n - 26*d = -29*d - 27, -4*n = -4*d - 28 for n. -3 Solve -4*s + 8 = l, 90*l - 89*l - 6 = -3*s for l. 0 Solve -j + 6 = -3*x, 134*j - 133*j + 2*x = 1 for j. 3 Solve 2*p + 24 = 25*z - 29*z, -14 = 3*z + p for z. -2 Solve 0 = -2*x + 2*s - 6, -88*s = -83*s - 20 for x. 1 Solve 40 = 5*x - 43*k + 41*k, -11*x - 4*k = -4 for x. 4
(9 + -8 - 6) + 13 8 1 - (3 + -8) - (-8 - -8) 6 What is (10 - (10 - 0)) + -3? -3 What is the value of -1 + (-3 - -8) - 2? 2 What is the value of -11 + (19 - 11) - -5? 2 What is the value of (1 - (-4 + 9)) + 9? 5 Evaluate (9 + -14 - (0 - 4)) + -4. -5 -4 + (2 - -4) - 4 - -1 -1 Evaluate -2 + 4 + -8 + 0 - -4. -2 What is 1 + 1 + 1 + -5? -2 What is the value of 2 + -6 + 2 + (-4 - -1)? -5 -4 + (-2 - -1) + 0 + 1 -4 What is the value of 3 + (2 + -3 - -1)? 3 Calculate 2 - (4 - 9 - -5). 2 (4 - 0 - (-3 + 3)) + 1 5 What is -1 + 12 - (13 - 7) - -1? 6 Evaluate -7 + (5 - 1) + -1. -4 What is 2 - 4 - (7 + -2 + -8)? 1 Evaluate 2 - (4 + -3) - (-12 - -9). 4 Evaluate 1 + 3 + -2 - (6 - 0). -4 Calculate (-10 + -13 - -13) + 4. -6 Evaluate -2 + (1 - -2) - (-3 + 1). 3 What is -16 + 22 + (-3 - 2)? 1 (-1 - 0) + 7 + -134 + 132 4 (10 - 3 - 23) + 8 - -5 -3 What is 4 - (0 + 5 - 5)? 4 What is the value of 2 + -7 - (-12 - -10)? -3 3 - 3 - -2 - -1 3 What is -2 + (7 - 8 - 3)? -6 What is the value of 9 - (-1 + -3 + 8)? 5 (-1 - (-2 - 2)) + 1 + -4 0 Calculate -19 - (-14 - -3) - -1. -7 What is the value of 31 + -34 + 6 + -1? 2 What is the value of 3 - -3 - 6 - (-1 + 5)? -4 What is the value of -1138 + 1131 - (3 + -1 + -1)? -8 Calculate (17 - (1 + 5)) + -7. 4 What is the value of -1 - (0 - 1 - (-1 - 2))? -3 What is the value of -6 + (-3 + 1 + 6 - -3)? 1 What is the value of 5 - -3 - 3 - 13? -8 -6 + (2 + 1 - 3) -6 3 - (-4 + 0 - (-2 + 4)) 9 Evaluate (10 - (-12 - -26)) + 1. -3 What is 16 - (-6 - (-4 + -8))? 10 (30 - 32) + 4 + -1 1 13 - (7 + 3 - 2) 5 What is the value of (-14 - (-14 - -2)) + 1 + -4? -5 0 - -2 - 11 - (2 + -8) -3 Calculate -7 - (22 - 11 - 11). -7 What is 10 + (-3 - 1) - (2 - -1)? 3 Calculate (-12 - (6 + -10)) + 8. 0 Evaluate 3 - (0 - -1) - 0. 2 7 + (4 - 7 - -11) + -7 8 Calculate -5 - ((23 - 24) + 0 + 1). -5 What is 3 - (-5 + 10) - (1 + -1)? -2 Calculate (4 - 0 - 9 - -3) + 1. -1 What is -3 + (6 - 4) - -4? 3 What is 14 + -3 + 1 - 5? 7 Calculate -13 - -13 - (0 - 3). 3 Evaluate -3 - (0 + 3) - -2. -4 Evaluate 3 + -2 + -5 - 1. -5 What is the value of -5 + 9 + -6 + 4? 2 Calculate -5 + 0 + 5 - 2 - 2. -4 Evaluate (-2 - -17) + -20 + 0 + 6. 1 What is -3 + (4 - ((0 - -3) + 3))? -5 Evaluate -1 + 2 + (-19 - -14). -4 (-5 - (-2 - 4) - 3) + 7 5 What is the value of (5 - 7) + 6 + -1? 3 Evaluate (25 - 18) + -1 + (1 - 1). 6 Calculate 2 + (1 - (-1 - (3 + -2))). 5 What is the value of (-2 - -3) + -2 + (6 - 7)? -2 What is (3 - (3 + -5)) + 1 + -1? 5 What is the value of 5 - (-1 + -1 + 3 - -3)? 1 What is (5 - 1) + (-7 - -7)? 4 Calculate 5 + (-2 + 2 - (1 + -3)). 7 Evaluate 14 + -18 + (5 - 1) + -5. -5 Calculate 7 - (1 + -4 + 5). 5 Calculate 34 + -28 - (-4 - (-1 + -8)). 1 What is the value of -1 + -3 + 1 + 3 + 1? 1 Evaluate -1 + 1 + -1 + (5 - 3). 1 What is the value of 3 + -4 + -2 + -1 + 2? -2 Evaluate -16 + 16 - (2 + 2). -4 What is (-17 - -21) + -3 + 2? 3 -2 - (1 + 0 - (-48 - -44)) -7 What is (4 - 10 - -10) + -6 + 8? 6 What is the value of (-7 - -14) + -3 + 0? 4 What is -28 + 25 - (0 + (1 - 0))? -4 Evaluate 6 - (7 + 5 - (-5 - -7)). -4 1 + 1 + 3 - (0 - 0) 5 What is -6 + 3 + 9 - -1? 7 Calculate -4 + 1 + (4 - 3) - 1. -3 Calculate (-5 - 2) + 4 - (1 + 0). -4 Calculate -7 + -1 + -54 + 64. 2 2 + 0 + -2 - -6 - 8 -2 Calculate -52 + 44 - (-3 - -1). -6 Evaluate 2 + (0 - 4) + 3 + 1. 2 Calculate 10 - 6 - (2 + -3 - -9). -4 What is the value of 7 + (-12 - -4) - -4? 3 2 + -6 - (-3 - -3 - 1) -3 Calculate (9 - 10 - 2) + 1 + 0. -2 What is the value of 2 + -2 - (5 - (21 + -9))? 7 Evaluate 4 - (0 + 0) - 4. 0 What is the value of (0 - -5) + -34 + 25 - -5? 1 What is -2 + 0 + 6 - (51 - 45)? -2 Evaluate 7 - 0 - (0 + 2 + 1). 4 1 - -7 - (12 + (-11 - -3)) 4 What is 2 + (3 + 2 - -2 - 3)? 6 (8 - 4) + -4 + 0 0 Calculate -3 + -4 + 14 + -9. -2 Calculate -3 - (-1 + 5 + -1 + -5). -1 What is the value of 2 + 2 + 5 + (-3 - 2)? 4 What is the value of -2 + 11 + -2 + -11? -4 Evaluate -2 - (3 + -9 + 1 + 1). 2 What is (12 - -2) + -8 + 0? 6 Evaluate -2 + -2 + -2 + -310 + 309. -7 What is the value of (10 - (-12 - -9)) + -8? 5 What is the value of -14 + 4 + 3 - (-1 + -3)? -3 Evaluate -2 + 1 - ((1 - -2) + -2). -2 Evaluate 10 - (8 - 6 - -5). 3 -1 + 3 - (-19 + (2 - -24)) -5 What is the value of (-6 - -4) + -8 - -1? -9 Evaluate -1 + (-9 - -8) - 0. -2 What is the value of 6 + -7 - (1 - (3 + 2))? 3 What is the value of -2 - (0 + -2 + 0)? 0 -2 - 1 - (10 + 8 + -24) 3 Evaluate -5 + (11 - (-3 + 7)). 2 Evaluate (4 + 2 - 5) + 4. 5 What is -2 + 4 + -2 + -1 + -1? -2 What is the value of 6 + -3 - (9 + -2)? -4 (1 - 3) + 1 - (-1 + 1) -1 Evaluate (1 - -3) + (7 - 6). 5 What is (-5 - 3) + (0 - (1 - 4))? -5 21 + -20 + (15 - 3 - 4) 9 Calculate -12 - (11 - 10 - 15). 2 Evaluate -6 + 1 + -1 - 0. -6 Calculate (0 - 6) + 10 + 0. 4 Evaluate -6 + 6 + (-23 - -14). -9 (0 - (1 - -1)) + 14 + -8 4 Evaluate 3 - (4 + 2 - 2) - -5. 4 Calculate (1 - (2 - 2)) + 0. 1 Calculate (-7 - 0 - -1) + (-17 - -18). -5 -2 + (-2 + 2 + -1 - -1) -2 What is the value of -5 + 1 - (-4 + -9 - -9)? 0 17 + 18 + -42 + 1 + 0 -6 What is 2 + (-1 - -5) + (-7 - 3)? -4 -1 + (9 - 5) + 1 4 What is 1 + (1 + 3 - 1)? 4 Calculate (4 - 6) + 4 + 1. 3 (-1 - (0 + -1)) + -8 + 5 -3 What is 0 + -3 + (4 - 4)? -3 10 - (9 - (-11 - -13)) 3 Calculate 4 + 1 + 0 - (-444 - -445). 4 What is the value of -1 - (0 + 4) - (4 + -7)? -2 Evaluate 3 + 1 + -5 + 4. 3 What is the value of (-8 - -3 - (-5 + 5)) + 0? -5 Calculate 2 + -3 + (2 - 2 - -5). 4 Calculate 1 + -3 + -1 - (-24 + 17). 4 Evaluate -2 + -4 + 12 + -3. 3 -11 + 6 + (-5 - -13) 3 What is the value of (5 - 4) + -5 - -7? 3 What is the value of -1 + -1 - (1 + -1)? -2 Calculate 4 - (3 + 0 + 2). -1 What is the value of (-2 - (3 - 7)) + -8 + 1? -5 Evaluate -3 + (-1 - -1 - -3) + -3. -3 Calculate (-10 + 10 - (14 + -6)) + 1. -7 -7 + 3 + -2 + 1 -5 What is the value of 9 + -1 + 10 + (-3 - 7)? 8 Calculate (-14 - -9) + -2 + 1. -6 Evaluate -2 - (-7 + 4 + (5 - 2)). -2 Calculate 4 + -2 + -5 + -1 + 2. -2 What is -1 - 0 - (-5 + -9 + 8)? 5 Evaluate 7 - 1 - (2 + 5 + -4). 3 What is 6 + -8 + (2 - 5)? -5 Calculate (2 + -4 - -4) + -1. 1 Evaluate 7 + 0 - (251 - 252). 8 Calculate 5 - 2 - 0 - 0. 3 What is the value of 6 + 1 + -6 - 6? -5 Calculate 2 + 9 - (3 - -2). 6 Evaluate 0 - -3 - (1 - -4). -2 What is 19 + -9 + (1 - 16)? -5 What is -11 - (-7 + -6) - (0 - 1)? 3 What is 4 + -5 - (-2 + 0 + -1)? 2 What is -2 - (-3 + (1 - -1) + 2)? -3 Calculate 6 + (6 - (30 - 8)) + 6. -4 Calculate (5 - (-2 + -6)) + -14. -1 What is 5 + (-7 + -1 + 11 - 10)? -2 -2 + 6 + -2 + 3 5 What is (-2 - (2 + -4)) + -4? -4 Calculate (2 - 3) + (-4 - -3) + 1. -1 What is the value of -2 + 10 + -13 + 6? 1 What is -3 - (-7 - (-5 - 4))? -5 What is -10 + (-3 - (-7 - 3))? -3 What is the value of 6 + (7 - 16 - (0 + -3))? 0 What is 3 + (-8 - ((6 - 3) + -6))? -2 Calculate 0 - (-1 + -5) - 3. 3 Calculate 3 + 3 + 1 + -6. 1 Calculate (-8 - -11) + (-1 - 3). -1 Calculate 1 - (0 - 1) - 3. -1 2 + -12 - ((2 - 3) + -5) -4 Calculate -3 - -2 - -1 - (8 - 8). 0 Calculate -8 - -2 - -1 - (-10 - 0). 5 What is 4 + (10 - 19) + 4? -1 What is the value of 2 + -1 - (-8 + 8 + -4)? 5 Evaluate 17 + -7 + -19 + 1. -8 -15 - -15 - (6 + 0) -6 What is 6 + -3 + 15 + -11? 7 Calculate 1 - (4 - 6) - -5. 8 What is -4 + (0 - (-3 + 1)) + 4? 2 What is (-7 - (-3 + -4 + 5)) + 2? -3 Calculate (1 - 1) + (6 - 9) + -4. -7 -3 - (-3 - (-2 - (-1 - 0))) -1 What is (-138 - -141) + (-9 - (-1 - -1))? -6 Evaluate -3 - 5 - -5 - 4. -7 What is the value of (-6 - -3) + (0 - -4 - 1)? 0 What is the value of 3 - (-11 + 8 + -2 + 3)? 5 Evaluate 5 + -1 - (-37 + 40). 1 Evaluate (3 - (-1 + -2)) + -4. 2 Evaluate 3 - -1 - 1 - (-64 - -61). 6 Evaluate -6 - (-21 + 5 - -11). -1 What is the value of 1 + (2 + 4 + -2 - 2)? 3 Evaluate (-5 - (-7 - -4)) + (1 - -3). 2 What is the value of 4 + (2 - (9 + -8))? 5 What is the value of 15 - 0 - (149 - 139)? 5 1 - (-1 - (9 + -15)) -4 Calculate -1 + -10 - (4 + -3 + -6). -6 What is the value of 2 + 3 + (2 - 0) + -2? 5 What is -17 - (0 - (-6 + 14))? -9 Evaluate -1 + 1 + (2 - 3) + 7. 6 Evaluate -4 - (-2 - -3) - -4. -1 Evaluate -6 + -1 + 2 + -2 + 5. -2 Calculate -59 + 48 - (1 + -11). -1 (-8 - -1) + 9 - (1 - -1) 0 Evaluate 6 + 0 + -11 + 4. -1 Evaluate 9 + (-8 - 1 - -2). 2 Evaluate (15 - 16) + -4 + 0 + 1. -4 -3 + 4 + -4 + 5 2 What is 7 - (-4 - (-9 + 3))? 5 What is -10 + (5 - (-7 - -12))? -10 What is the value of -8 - (-12 - (-5 - 3))? -4 Calculate -3 - 0 - (2 + (-2 - 2)). -1 What is the value of 13 + -1 + (-56 - -50) - -2? 8 Evaluate (-7 - -3) + 4 + (-4 - -1). -3 Evaluate 1 + (11 - 25) + 12. -1 What is (-13 - (-1 + -7)) + (1 - 3)? -7 What is the value of -4 + (2 - (-3 - -3))? -2 Calculate (-7 - -3) + 3 + 1. 0 What is (-1 - -6) + -3 + 1 + -8? -5 What is the value of -75 + 67 - (7 + -3 - 2)? -10 What is the value of -2 - -9 - (0 - -4)? 3 Calculate (-17 - -14) + 6 + 0. 3 What is the value of (11 - 2) + -6 + 4? 7
What is the hundreds digit of 16007678? 6 What is the thousands digit of 10263? 0 What is the units digit of 633430? 0 What is the units digit of 3490738? 8 What is the thousands digit of 10419840? 9 What is the hundred thousands digit of 122706? 1 What is the hundreds digit of 7376415? 4 What is the tens digit of 2033181? 8 What is the units digit of 600265? 5 What is the millions digit of 4834244? 4 What is the tens digit of 1115023? 2 What is the thousands digit of 348433? 8 What is the hundreds digit of 377777? 7 What is the units digit of 751918? 8 What is the hundred thousands digit of 137496? 1 What is the units digit of 501906? 6 What is the hundred thousands digit of 153186? 1 What is the units digit of 635633? 3 What is the hundred thousands digit of 726625? 7 What is the millions digit of 21043858? 1 What is the hundred thousands digit of 4482831? 4 What is the hundred thousands digit of 195391? 1 What is the hundred thousands digit of 12358070? 3 What is the hundreds digit of 113611? 6 What is the thousands digit of 4077084? 7 What is the units digit of 806159? 9 What is the hundred thousands digit of 790784? 7 What is the thousands digit of 506964? 6 What is the units digit of 953643? 3 What is the hundreds digit of 336851? 8 What is the hundreds digit of 867663? 6 What is the hundred thousands digit of 2075850? 0 What is the ten thousands digit of 1567746? 6 What is the thousands digit of 3546262? 6 What is the units digit of 331969? 9 What is the tens digit of 2146844? 4 What is the tens digit of 500690? 9 What is the tens digit of 147562? 6 What is the ten thousands digit of 1965951? 6 What is the hundreds digit of 230537? 5 What is the hundreds digit of 163558? 5 What is the units digit of 4964153? 3 What is the units digit of 1565? 5 What is the tens digit of 338050? 5 What is the hundred thousands digit of 176375? 1 What is the ten millions digit of 18604692? 1 What is the thousands digit of 3719885? 9 What is the tens digit of 82835? 3 What is the ten thousands digit of 7045824? 4 What is the tens digit of 514738? 3 What is the hundreds digit of 2964275? 2 What is the thousands digit of 228380? 8 What is the ten thousands digit of 140628? 4 What is the hundred thousands digit of 134877? 1 What is the hundreds digit of 7235804? 8 What is the units digit of 355315? 5 What is the ten thousands digit of 423150? 2 What is the ten millions digit of 15263637? 1 What is the hundred thousands digit of 7177011? 1 What is the hundred thousands digit of 150152? 1 What is the millions digit of 2040549? 2 What is the ten millions digit of 14083312? 1 What is the millions digit of 8099626? 8 What is the hundreds digit of 686027? 0 What is the tens digit of 14604442? 4 What is the ten thousands digit of 507018? 0 What is the thousands digit of 52608? 2 What is the hundred thousands digit of 2686809? 6 What is the ten thousands digit of 450236? 5 What is the ten thousands digit of 4918039? 1 What is the units digit of 6489755? 5 What is the thousands digit of 1742190? 2 What is the tens digit of 5395166? 6 What is the tens digit of 941266? 6 What is the ten thousands digit of 1719340? 1 What is the ten thousands digit of 117029? 1 What is the ten thousands digit of 6135478? 3 What is the hundred thousands digit of 452060? 4 What is the hundreds digit of 4254652? 6 What is the tens digit of 2824371? 7 What is the units digit of 257364? 4 What is the hundred thousands digit of 3094766? 0 What is the ten thousands digit of 1343820? 4 What is the ten thousands digit of 439748? 3 What is the millions digit of 1003936? 1 What is the hundred thousands digit of 5217155? 2 What is the hundreds digit of 327533? 5 What is the tens digit of 19468143? 4 What is the tens digit of 550629? 2 What is the units digit of 338846? 6 What is the thousands digit of 14342004? 2 What is the hundreds digit of 401862? 8 What is the units digit of 1955099? 9 What is the thousands digit of 729513? 9 What is the units digit of 750570? 0 What is the hundred thousands digit of 130061? 1 What is the units digit of 2483710? 0 What is the hundred thousands digit of 3270829? 2 What is the hundreds digit of 2070808? 8 What is the tens digit of 5813373? 7 What is the ten thousands digit of 704371? 0 What is the thousands digit of 1225481? 5 What is the ten thousands digit of 145184? 4 What is the units digit of 271566? 6 What is the hundreds digit of 324966? 9 What is the thousands digit of 243515? 3 What is the hundred thousands digit of 6399414? 3 What is the hundred thousands digit of 753929? 7 What is the ten thousands digit of 6582294? 8 What is the thousands digit of 470304? 0 What is the tens digit of 211982? 8 What is the ten thousands digit of 29620408? 2 What is the hundreds digit of 236663? 6 What is the thousands digit of 177742? 7 What is the units digit of 3979526? 6 What is the thousands digit of 696063? 6 What is the thousands digit of 1254247? 4 What is the tens digit of 35130? 3 What is the tens digit of 571264? 6 What is the hundred thousands digit of 3733699? 7 What is the ten thousands digit of 480518? 8 What is the tens digit of 5994662? 6 What is the units digit of 8690? 0 What is the hundreds digit of 1538014? 0 What is the tens digit of 3815247? 4 What is the hundred thousands digit of 357910? 3 What is the thousands digit of 695377? 5 What is the units digit of 2719000? 0 What is the units digit of 13181180? 0 What is the tens digit of 4118370? 7 What is the tens digit of 124267? 6 What is the ten thousands digit of 23603? 2 What is the hundreds digit of 2659123? 1 What is the hundred thousands digit of 352397? 3 What is the units digit of 201164? 4 What is the ten thousands digit of 3226728? 2 What is the ten thousands digit of 174647? 7 What is the hundreds digit of 7393156? 1 What is the hundreds digit of 93269? 2 What is the units digit of 1193831? 1 What is the tens digit of 223089? 8 What is the millions digit of 4387248? 4 What is the tens digit of 503311? 1 What is the millions digit of 1019561? 1 What is the ten thousands digit of 46880? 4 What is the millions digit of 9429656? 9 What is the units digit of 34453320? 0 What is the thousands digit of 266400? 6 What is the ten thousands digit of 556301? 5 What is the units digit of 112513? 3 What is the millions digit of 6279684? 6 What is the ten thousands digit of 1673906? 7 What is the tens digit of 254700? 0 What is the units digit of 3859716? 6 What is the tens digit of 19969? 6 What is the hundred thousands digit of 3558878? 5 What is the hundreds digit of 54023? 0 What is the tens digit of 2207084? 8 What is the thousands digit of 749207? 9 What is the ten thousands digit of 184163? 8 What is the tens digit of 45216? 1 What is the units digit of 12571? 1 What is the hundreds digit of 415454? 4 What is the hundreds digit of 14881076? 0 What is the ten thousands digit of 3427987? 2 What is the millions digit of 2875786? 2 What is the units digit of 3368284? 4 What is the ten thousands digit of 768061? 6 What is the units digit of 762557? 7 What is the units digit of 3314142? 2 What is the units digit of 30319912? 2 What is the hundred thousands digit of 1092950? 0 What is the units digit of 143885? 5 What is the hundreds digit of 429532? 5 What is the ten thousands digit of 270607? 7 What is the hundred thousands digit of 1507382? 5 What is the hundred thousands digit of 1129910? 1 What is the ten thousands digit of 307731? 0 What is the hundreds digit of 195413? 4 What is the tens digit of 1253676? 7 What is the hundred thousands digit of 18914018? 9 What is the hundreds digit of 675368? 3 What is the ten millions digit of 10797826? 1 What is the thousands digit of 26374679? 4 What is the thousands digit of 752182? 2 What is the hundreds digit of 7332840? 8 What is the ten thousands digit of 4328668? 2 What is the hundreds digit of 58645? 6 What is the hundreds digit of 232710? 7 What is the hundred thousands digit of 14034887? 0 What is the ten thousands digit of 300446? 0 What is the ten thousands digit of 7096337? 9 What is the units digit of 10348? 8 What is the tens digit of 510198? 9 What is the tens digit of 159071? 7 What is the thousands digit of 17482844? 2 What is the hundred thousands digit of 3739992? 7 What is the units digit of 2327974? 4 What is the hundred thousands digit of 5366977? 3 What is the hundred thousands digit of 1025208? 0 What is the ten thousands digit of 55190? 5 What is the ten millions digit of 27236968? 2 What is the units digit of 3746265? 5 What is the hundred thousands digit of 2901897? 9 What is the units digit of 383769? 9 What is the units digit of 334162? 2
What is the third derivative of -34*p**2*u**3*y - p**2*u**3 + 74*p**2*u**2*y + p**2*y - 3*p*u**3*y - 2*p - 2*y wrt u? -204*p**2*y - 6*p**2 - 18*p*y Find the third derivative of -4942*g**6*x**2 - 2*g**2*x**2 - 3881*g**2 wrt g. -593040*g**3*x**2 Differentiate -1937*c + 1083 with respect to c. -1937 Find the second derivative of 238*q*r**2 + q + 99*r wrt r. 476*q Find the first derivative of -3*n**3*o - 123*n**3 + 2*n**2 - 447*n*o + 2 wrt o. -3*n**3 - 447*n Find the third derivative of 2*j**2*l**3 + 3*j**2*l**2 - 2*j**2*l + 168*j*l**3 - 30*j*l**2 wrt l. 12*j**2 + 1008*j Find the first derivative of -34*d**2 - 186*d - 14860. -68*d - 186 What is the third derivative of 1571*h**3*n**2*s + h**2*n*s - h**2*s - 8*h*n**2 + 101*s wrt h? 9426*n**2*s What is the derivative of g**4 - 963*g**3 - 6820 wrt g? 4*g**3 - 2889*g**2 Differentiate -898*t**4 - 1257. -3592*t**3 What is the second derivative of 2*k**3*l**3 + 17*k**3*l - 5*k*l + 22*l**3 wrt k? 12*k*l**3 + 102*k*l What is the derivative of 1632*s + 3125 wrt s? 1632 Differentiate -52*g**2*k - 37*g**2 wrt k. -52*g**2 What is the third derivative of -4*p**3 - 32*p**2 wrt p? -24 Differentiate -3*o**4 - o**3*r**3 + 3*o**2 - 3*r**3 - 2*r**2 with respect to o. -12*o**3 - 3*o**2*r**3 + 6*o What is the first derivative of -1637*d - 3809 wrt d? -1637 Find the first derivative of 16491*r*v**2 + 4*v**2 - 747*v wrt r. 16491*v**2 Differentiate -6041*b*i**3 - 2020*i**3 wrt b. -6041*i**3 What is the derivative of i**3*w - 2*i**3 + 18*i*w**2 - 2*w**2 + 46*w wrt i? 3*i**2*w - 6*i**2 + 18*w**2 Find the second derivative of -221*f**2*g**2*i**2 - 3*f**2*g**2*i - 8*f**2*g*i - f**2 + 4*f*g**2*i**2 + f*g**2*i + g*i wrt i. -442*f**2*g**2 + 8*f*g**2 Find the first derivative of -2*d**3*j + 1297*d**3 - 3*d**2*j**2 + 114*j**2 wrt j. -2*d**3 - 6*d**2*j + 228*j What is the second derivative of 5*c**5*p + 3*c**5*x + 4*c**2*x - c*p*x - c*p + 5*p + 2*x wrt c? 100*c**3*p + 60*c**3*x + 8*x Find the second derivative of -1950*d**2 - 76*d + 2 wrt d. -3900 What is the third derivative of h**2*l**2*t**4 + 31*h**2*l**2 + 2*h*l**2*t**2 + 2*h*l*t**5 + h*t**2 wrt t? 24*h**2*l**2*t + 120*h*l*t**2 Find the second derivative of -c**4*r**3 + 216*c**3*r**3 + c*r**3 - 995*c*r**2 wrt c. -12*c**2*r**3 + 1296*c*r**3 Differentiate 99*f*r + 221*f with respect to r. 99*f Find the first derivative of 7*b*h*l + 2*b + 10*h*l + 42*h - 2 wrt l. 7*b*h + 10*h What is the third derivative of -g**4*r + 4*g**4 + 2*g**3*r + 3*g**2 - 17*r wrt g? -24*g*r + 96*g + 12*r Find the second derivative of -18633*z**2 + 215*z + 15. -37266 Find the second derivative of 3*f**4*k**2 - 2*f**3 + 143*f**2*k**3 - 6*f*k**3 + 157*f*k + 2*f - k**2 wrt f. 36*f**2*k**2 - 12*f + 286*k**3 Find the second derivative of -1321*l**2 - 55*l + 7 wrt l. -2642 Differentiate 21183*g**2*q + 18935*g**2 with respect to q. 21183*g**2 What is the third derivative of -1665*r**5 + 144*r**2 + 5? -99900*r**2 Differentiate -3*k*l*p*u + 16*k*p**2*u**3 - 77*k*p**2*u**2 - 3*l*p**2 + l*u**3 - 4*l*u wrt l. -3*k*p*u - 3*p**2 + u**3 - 4*u Find the first derivative of 119*k**2*n + 292*n wrt k. 238*k*n What is the third derivative of 16035*k**3*t**2 + 3959*k**2*t**2 - 3*t**2 wrt k? 96210*t**2 Find the third derivative of n*w**5 - 2*n*w**3 + n*w**2 - 12*w**5 - 2 wrt w. 60*n*w**2 - 12*n - 720*w**2 Find the third derivative of -3542*g**2*n**3 + g**2*n**2 - g*n**3 - 2716*n**2 wrt n. -21252*g**2 - 6*g What is the third derivative of 3*a**3*k**5 - 75*a**3*k - a**2*k + 137*a*k**5 - 2*k**2 wrt k? 180*a**3*k**2 + 8220*a*k**2 What is the derivative of 2*m**3 - 3365*m + 1443? 6*m**2 - 3365 What is the third derivative of 620*j**4*w - j**3*w**3 - 7*j**2*w**3 - 44*j*w**3 wrt j? 14880*j*w - 6*w**3 What is the second derivative of -t**2*y - 2*t**2 + t*y - 102*t wrt t? -2*y - 4 What is the second derivative of -1072*s**2*t + 12*s*t + 62*t wrt s? -2144*t Find the third derivative of 28*j**5 - 3*j**4 - 56*j**2 wrt j. 1680*j**2 - 72*j What is the first derivative of -288*a**4 - 247 wrt a? -1152*a**3 Differentiate 4*g**2*m + 120*g**2 - g*m - 9771*m wrt g. 8*g*m + 240*g - m Find the third derivative of 808*g**4*k - g**3*v**2 - 42*g**2*k*v**2 - g*k*v**2 - 2*g*k + 2*k wrt g. 19392*g*k - 6*v**2 Find the first derivative of 880*w**3 + 4*w**2 + 2225. 2640*w**2 + 8*w Find the third derivative of -150*h*i**5 + 15*h*i**4 - 4733*h*i + 3*i**2 wrt i. -9000*h*i**2 + 360*h*i What is the third derivative of 4*b*i*n*x**3 - 4*b*i*n*x**2 + b*n*x - 271*i*n - 37*n*x**3 - x**2 wrt x? 24*b*i*n - 222*n What is the third derivative of 144*g**3*n**3 + g**3 - n**2 + 30 wrt n? 864*g**3 What is the second derivative of -803*a**5 + 3*a**4 - 54*a + 3 wrt a? -16060*a**3 + 36*a**2 Differentiate p*v - 5*p*w - 6*p - 448*v**2*w - 4 wrt v. p - 896*v*w What is the derivative of -476*a**3 + a**2*s + 1235*s wrt a? -1428*a**2 + 2*a*s What is the second derivative of 18*u**3*y**2 - 3*u**3*y - 5*y - 2 wrt y? 36*u**3 What is the second derivative of 2*d**3*y**2 + 6*d**3*y - 47*d**3 + d*y + 269*y**2 wrt d? 12*d*y**2 + 36*d*y - 282*d Find the third derivative of t**5 - 6*t**4 + 35*t**3 + 9300*t**2. 60*t**2 - 144*t + 210 What is the derivative of 3*g**3*k**2 + 44*g**3 - 5*g**2*k**2 wrt k? 6*g**3*k - 10*g**2*k What is the third derivative of -b**3*o*r**3 + 726*b**3*o*r + b**2*o*r**2 - 234*o*r**3 - 2*o*r - 2*o wrt b? -6*o*r**3 + 4356*o*r What is the third derivative of -7309*z**3 - 3309*z**2 + 2? -43854 What is the third derivative of -4*v**5 - 31*v**4 + v**3 - 12*v**2 + 87*v wrt v? -240*v**2 - 744*v + 6 Differentiate 240*g**4 + 233. 960*g**3 Differentiate 8819*a + 20955 with respect to a. 8819 Find the third derivative of -24208*g**5*s**3 - 19*g**2*s + 612*g*s**3 wrt g. -1452480*g**2*s**3 Find the second derivative of -5*r**5*u + 6*r**2*u**2 + 2*r - 2854*u**2 wrt r. -100*r**3*u + 12*u**2 What is the second derivative of 3*z**4 - 9*z**2 + 265*z? 36*z**2 - 18 Differentiate -6491*r**4 + 8072 with respect to r. -25964*r**3 Find the first derivative of -385*j - 390 wrt j. -385 Find the second derivative of -580*q**2 + 140*q + 2 wrt q. -1160 What is the second derivative of 4*k**3*u**4 - 16*k**3*u + 4*k**2 + 35*k*u**2 - k*u + 3*u**4 wrt u? 48*k**3*u**2 + 70*k + 36*u**2 Find the second derivative of 4*c*x**4 - 9*c*x**2 + 2*c - x**3 + 67*x + 2 wrt x. 48*c*x**2 - 18*c - 6*x Differentiate -8562*h - 7125 wrt h. -8562 Find the third derivative of -2578*d**3*n**3 - 145*d**3*n**2 + n**2 wrt n. -15468*d**3 Find the first derivative of 15*m**4 + 4*m - 379. 60*m**3 + 4 What is the first derivative of 2*q*w**2 + 57*q + 214*w**2 wrt q? 2*w**2 + 57 What is the first derivative of 312*j*w + 6*j - 49 wrt w? 312*j What is the derivative of 218*h*j**2 + 3*h*j*q**3 + 4*j**2*q**3 + 7*j**2*q**2 + 2*q**2 wrt h? 218*j**2 + 3*j*q**3 Find the third derivative of 72*h**6 - 62*h**2 wrt h. 8640*h**3 Find the third derivative of -28*b**2*x**4 - 10*b**2*x**2 + 13*b**2*x - b*x**4 + x**4 wrt x. -672*b**2*x - 24*b*x + 24*x What is the second derivative of -2*j**3*w**2 - 5*j**3 + 169*j**2*w**2 - 3347*j*w**2 - 2*j*w + w wrt j? -12*j*w**2 - 30*j + 338*w**2 Find the third derivative of g**5*h + 568*g**5 - 8*g**2 + 26*g - h + 2 wrt g. 60*g**2*h + 34080*g**2 What is the first derivative of -2*m*q**2*r - 2*m*q**2*u + 3*m*u - 6*q**2*r - 2*r*u + r wrt u? -2*m*q**2 + 3*m - 2*r What is the third derivative of -68*o**4 + 314*o**2 wrt o? -1632*o What is the first derivative of -585*c*x + 851*x wrt c? -585*x What is the derivative of -77*q*r**4 + q*r + 640*q wrt r? -308*q*r**3 + q What is the third derivative of 31*p**4 - p**3 - 59*p**2 - 3? 744*p - 6 Differentiate 5*r*u**2 + 2*r*u + 354*r - 2*u**2 wrt u. 10*r*u + 2*r - 4*u Differentiate -2066*p**4 - 1702 wrt p. -8264*p**3 Differentiate -3*t**4*u**2 - 213*t**2*u**2 + u**2 + 43 wrt t. -12*t**3*u**2 - 426*t*u**2 Find the third derivative of 24*g**4 + 141*g**3 + 17351*g**2 wrt g. 576*g + 846 What is the first derivative of 1830*c - 20541 wrt c? 1830 Find the third derivative of -75*f*j**4 + 35*f*j**3 + 67*f*j**2 - f - j + 21 wrt j. -1800*f*j + 210*f Find the first derivative of -3*l**4*r + 377*l*r - 874*r wrt l. -12*l**3*r + 377*r Find the first derivative of -2623*c**4 + 3768 wrt c. -10492*c**3 What is the third derivative of -k**4*u**3 + 142*k**4*u**2 + 44*k**2*u**3 - 3*k**2*u - 4*u**3 wrt k? -24*k*u**3 + 3408*k*u**2 Find the third derivative of -1002*t**4*z**2 - 19*t**2*z**2 - 4*z wrt t. -24048*t*z**2 Differentiate 41*f**3*h**4 + 436*f**3 + f*h**4 with respect to h. 164*f**3*h**3 + 4*f*h**3
Suppose 138*a + 10 = 148*a. Let h(l) = 19*l**2 + l. Determine h(a). 20 Let h be ((-9)/(-3))/(-12) + 10/8. Let b(g) = -4*g - 2. Calculate b(h). -6 Suppose 0 = 2*q + 10*q - 72. Let c(b) = -b + 4. Give c(q). -2 Let u(z) = -5*z - 5. Let q be u(-2). Let s(c) be the third derivative of -c**5/60 + 7*c**4/24 - c**3/3 - 27*c**2. Calculate s(q). 8 Let s(m) = -4*m + 38. Let u(d) = -2*d - 17. Let o be u(-13). Let z be s(o). Let t(b) = 2*b. Let k(c) = -5*c. Let i(f) = 3*k(f) + 7*t(f). Calculate i(z). -2 Let m(t) = t**3 + 6*t**2 + 2*t + 4. Suppose 0*p = r - 3*p - 29, -3*p - 75 = -3*r. Suppose 1 = -4*s - r. Let x be 8/48 + 37/s. What is m(x)? -8 Let k be ((-3)/(-2) + -1)*10. Let b(n) = 5*n**2 - 10 - 4*n**3 + 15 + 3*n**3. What is b(k)? 5 Let i(u) = 433*u**2 - 37 - 15*u - 872*u**2 + 438*u**2 + 37*u. Give i(20). 3 Suppose -5*f - 150 = -20*f. Let o(l) = l - 1. What is o(f)? 9 Let i(b) = -b**3 - b + 1. Let k be i(0). Suppose 0 = h - 0 - k. Let x(n) = -8 + 2 - 2 + 9 - 4*n. Calculate x(h). -3 Let a(k) be the second derivative of -k**3/3 - 2*k**2 + 70*k. Give a(-4). 4 Let u be 3*(6 - (-3 - -14))/(-5). Let s(i) be the third derivative of 0*i + 7*i**2 + 0 + 0*i**5 - 1/20*i**6 + 1/6*i**u - 1/24*i**4. Calculate s(1). -6 Let v(y) = -11*y - 2 + 0*y**2 + 12 + y**3 + 0*y - 4 - 10*y**2. Determine v(11). 6 Let i(y) = -y + 1. Let p(c) be the third derivative of c**4/8 - 53*c**3/6 - 9*c**2. Let s(d) = -d + 18. Let r(o) = -3*p(o) - 8*s(o). Let w be r(11). Give i(w). -3 Let u(t) = -7*t + 18. Let k(v) = 14*v - 38. Let h(m) = -4*k(m) - 9*u(m). Calculate h(8). 46 Let p(r) = r**3 - 9*r**2 + 9*r - 2. Let j be ((-108)/9)/(3/(-8)). Suppose j = -4*f + 8*f. Give p(f). 6 Suppose u - 10 = i, 4*i + 8*u = 3*u - 58. Let a(g) = -g**2 - 10*g + 12. Calculate a(i). -12 Let p(k) = -k**3 - k**2 + 2*k. Let b(t) = 2*t**2 - 23*t + 70. Let x be b(6). Give p(x). -72 Let q(m) = 4*m + 22. Let v be ((-1)/2)/(2/24). What is q(v)? -2 Let c = -124 - -156. Suppose 0 = -26*o + 18*o + c. Let h(v) = v. Determine h(o). 4 Suppose -120 = -2*s - 8*s. Let z(a) = -a + 4. Determine z(s). -8 Suppose -8 = -4*j + 8. Let t(l) = -j + l - 2*l - 1. Let f be -1*(5 - -2 - 2). Determine t(f). 0 Let o(j) = j**2 + 6*j. Let g be 5*(-4 - 162/(-30))*-1. Give o(g). 7 Suppose 4*h + 1 = 3*m + 5, -5*h + 2*m = -12. Let w be ((-6)/h)/(-1)*-2. Let n(o) be the first derivative of -o**4/4 - o**3 - o**2 - o - 5. Determine n(w). 5 Let r(q) be the third derivative of q**6/60 - q**5/60 + q**4/24 + q**3/6 - 14*q**2. Calculate r(3). 49 Let a(z) = -9*z - 2. Let k(b) = -6*b - 2. Let p(l) = 3*a(l) - 4*k(l). Give p(2). -4 Let f(v) be the third derivative of v**4/24 + 7*v**3/6 - v**2 - 84. Calculate f(-3). 4 Let j be 3*(12/9 - -1). Let g(t) = -3*t + 32. Let r be g(10). Let s(y) = -y**r + 7*y - j*y**2 + y**2 - 2*y + 1 + y**3. Calculate s(6). -5 Let d(h) be the second derivative of h**3/3 + h**2 - h. Let c = 94 + -90. Suppose 7*k + 18 = c. Give d(k). -2 Let p(f) = -f**2 - f + 2. Let t be (6/4 - 1)/(7/(-56)). Determine p(t). -10 Let g(b) = -5*b + 1. Let x(t) = -t + 8. Let d be x(11). Let f be (6 + d)*(-4)/6. Let q be f/(-2)*(-2)/2. Calculate g(q). 6 Let c(h) be the second derivative of h**4/4 - h**2 - 5*h - 2. What is c(2)? 10 Suppose 0*s = 2*s - 2. Suppose 0 = 5*b - 4 - s. Let m(h) be the second derivative of h**3/6 - h**2/2 + 8*h. Calculate m(b). 0 Let w be (-3)/3*11/(-11)*-3. Let r(o) = -o**3 - 4*o**2 - 3*o - 5. Give r(w). -5 Suppose -12 = -7*h + 6*h. Let x(k) = 2*k - 26. Let q be x(h). Let d(t) = -4*t**2 - 2*t - 2. Determine d(q). -14 Let o(v) = -8*v - 19. Suppose 3*l - 5*j = -3 - 18, -5*j = 5*l - 5. Let a be o(l). Let f(r) = -r**2 - 3*r - 2. Determine f(a). -2 Let s(l) = -l**2 - 3*l + 5. Let k(n) = 4*n + 0 - 6 + n**2 - 4 + 5. Let j be k(-4). Let b be s(j). Let f(p) = -p + 1. Calculate f(b). 6 Let u(h) = 130*h + 131*h + 4 - 262*h. Give u(9). -5 Let v = 3 - 0. Let w(c) be the second derivative of c**5/20 - c**4/3 + c**3/6 - c**2 + 17*c. Determine w(v). -8 Let s(y) = 2*y**2 - 21*y - 13. Let v = 1741 - 1730. Determine s(v). -2 Let b(u) = 3*u + 13. Let h be (-12)/(-18)*81/(-9). Give b(h). -5 Let x = 8 + -6. Let m(g) = 2 + 54*g**2 - 4*g - 26*g**2 - 27*g**x. Give m(3). -1 Let z(p) = 5*p**2 + 7*p - 7. Let d(o) = -11*o**2 - 14*o + 15. Let s(x) = -6*d(x) - 13*z(x). Let k be (3 + -2)*(-17 + 2). Let y = -8 - k. Calculate s(y). 1 Let k(s) = 6 - 12*s + 11*s + 7 - 7. Give k(7). -1 Let l(b) = -21*b**3 - b**2 - b. Let u be 1/(-4) + -2*(-3)/(-8). Determine l(u). 21 Let z(p) = -3*p**3 - 26*p**2 + 5*p - 9. Let s(g) = g**3 + 9*g**2 - 2*g + 3. Let x(f) = -11*s(f) - 4*z(f). Let b = 28 + -57. Let i = b + 24. Determine x(i). -7 Let a(p) = -p + 2. Let y(h) be the third derivative of 4/3*h**3 + 0 - 5/24*h**4 + h**2 + 0*h. Let c(m) = -9*a(m) + 2*y(m). Calculate c(-1). -1 Let w(b) = 6*b - 5. Let p(g) = 5*g - 4. Let t(q) = q**3 + 3*q**2 - q + 1. Let d be t(-3). Let m(y) = d*w(y) - 5*p(y). Give m(-4). 4 Let u(k) = k**2 - 7*k + 5. Let a(h) = -11 + 2*h + 13 - 24. Let n be a(13). What is u(n)? -7 Let u(l) be the second derivative of l**3/2 - l**2 - 7*l. Let c = -35 + 37. Determine u(c). 4 Suppose 5 = -2*i + 4*c - 7, 2*c = 3*i - 2. Let d(t) = -i + 4 + 14*t - 17*t. Calculate d(-1). 3 Let q(r) = -2*r**3 + 2*r**2 + r - 2. Let x be 1/((-14)/(-10) - (-4)/(-10)). Suppose -i = 4*c - 1 - x, 5*i - 4*c = 10. What is q(i)? -8 Let z(p) = 3*p**2 + 2 - 832*p**3 + 5*p + 833*p**3 - 2*p. Calculate z(-5). -63 Let d(c) = -c**3 + 11*c**2 + 11*c + 19. Let a(x) = -5*x - 58. Let s be a(-14). Determine d(s). 7 Let y = 681 + -679. Let t = -3 - -6. Let k(d) = -3*d**3 - 2 + 0 + d**2 + 4*d**t - 2*d**2. Calculate k(y). 2 Let i(j) = -19 + 4 + 0*j + 2 + 4*j + 2. Give i(3). 1 Let l(x) = -3*x**2 - 5*x + 62. Let h be l(-6). Let c(g) = -g - 20. Determine c(h). -4 Let l(w) = 15*w**2 + w + 1. Let r(c) = -c. Let o(k) = 3*k. Let v(z) = o(z) + 2*r(z). Let y be v(4). Suppose 10*j - y = 14*j. Give l(j). 15 Suppose 0 = 3*c - c - f + 8, 0 = c - 2*f - 2. Let u(m) = -6*m**2 - 5 - 5*m + m**3 + 16*m**2 - 5*m**2 + 12. Give u(c). 1 Let h(q) = -q**3 + q**2 + q. Let n be (-3)/(-3) + 3 + -5 + 2. Let g(b) = -2*b**3 + b**2 + 19. Let a(f) = n*h(f) - g(f). Give a(0). -19 Let j(v) = 34*v**3 + v**2 - 3*v + 1. Let w be j(1). Suppose -34*d + w*d = 2. Let s(x) = x**2 + x. Calculate s(d). 2 Suppose 3*i = -3*m + 144, i - 23 = 5*m - 5. Let x = i + -44. Let y(j) = -9*j**3 - j - j**2 - 13*j**3 + 6*j**3. Calculate y(x). 16 Let l(m) = 17*m**2 - 16*m + 10. Let x(n) = 7*n**2 - 8*n + 6. Let p(a) = 2*l(a) - 5*x(a). Give p(4). 6 Let q(a) = -a**3 - 2*a**2 - 3*a - 2. Let s(p) = -5*p - 30. Let z be s(-6). Suppose z*h + 4 = -2*h. What is q(h)? 4 Let h(r) = -2*r**2 + 2. Let x be h(-2). Let w(n) = 5*n + 2. Let v = 11 + -4. Let t(y) = 6*y + 2. Let a(g) = v*w(g) + x*t(g). Give a(2). 0 Let i(g) = -g - 3*g**2 + 10*g**2 + 3 - 10*g**2 + 4*g**2 - 4*g. Determine i(6). 9 Let u(r) be the first derivative of r**3/3 - r**2 + 4*r - 2995. Suppose -3*d + 8 = 2*y + 3*y, -5*y = 5*d - 10. Let q be ((-1)/d - 0) + 4. Calculate u(q). 7 Let n(k) = 5*k - 13. Let a(x) = -6*x - 10*x + 15 + 2*x + 23. Let i(r) = -3*a(r) - 8*n(r). What is i(7)? 4 Let g(c) = -53*c + 165. Let z be g(3). Let u(o) = o**3 - 7*o**2 + o - 2. Determine u(z). -32 Let w(f) be the second derivative of -f**4/6 - 5*f**3/2 + 2*f**2 - 2*f + 85. Determine w(-8). -4 Let f(s) = -s**3 - 3*s**2 + 6*s - 3. Let g be (-1)/(-36)*1412 - 4/18. Suppose -g + 9 = 3*q + 3*c, -c = 2*q + 15. Determine f(q). 17 Let k be 40/(-50)*(-10)/4. Let f be k/(-9) + (-20)/(-9). Let b(g) = g + 2. Let o be b(f). Let y(d) = d - 4. Calculate y(o). 0 Let s(w) = 12*w**2 - 1. Let p(g) = -24*g**2 + 2. Let l(f) = -3*p(f) - 5*s(f). Suppose 5*c = 4*r - 7 - 4, -3*r + 16 = 4*c. Suppose -r = y + 3*y. Determine l(y). 11 Let i(v) be the third derivative of -v**4/24 - v**3/3 - 47*v**2 + 1. What is i(6)? -8 Let o(f) = 5*f**3 + 8*f**2 - 9*f + 7. Let q(l) = -l**3 - l**2 + l - 1. Let c(h) = o(h) + 6*q(h). Give c(2). -5 Let h(d) = d**2 - 9*d + 12. Let o be h(7). Let l(i) be the second derivative of -i**3/2 + i**2/2 - 8*i. What is l(o)? 7 Let h(i) = -i**3 + 6*i**2 - 5*i - 4. Suppose 0 = -10*j + 15*j - 20. Calculate h(j). 8 Let r(x) = x**2 - 5*x - 8. Suppose -4*g - 5*d + 240 = -45, 2*d + 250 = 4*g. Suppose 59*w = g*w - 36. What is r(w)? -2 Let x(g) = 2*g + 11. Suppose -10*y = -2 + 42. Calculate x(y). 3 Suppose 5*m - m - 8 = 0. Let f(v) = -7*v - 27 + 4*v + 29 + 11*v - 6*v. What is f(m)? 6 Let q(c) = c**3 - 3. Let t be q(2). Let l(n) = 2 + t*n**3 - 1 - 2*n**2 - 7*n**3. Calculate l(-1). 1
Simplify (c*c**(1/7)/c*c/(c*c**(-1/9)/c))/(c**(-5/4)/c**5) assuming c is positive. c**(1891/252) Simplify (r**(-22)*r**(-2/37)/r)/(r/(r**(-8)/r))**(-19) assuming r is positive. r**(6177/37) Simplify ((((r/r**(-3/13))/r*r*r*r)/r)**(1/16))**(-38) assuming r is positive. r**(-551/104) Simplify (n**(-1/12)/(n*(n/n**35)/n*n))/(n*n**(-2/59))**(5/3) assuming n is positive. n**(22165/708) Simplify (r**(2/21)/((r/(r/((r*r/(r/r**(-4/9)))/r)))/r))/(r**9/(r*r**8)) assuming r is positive. r**(97/63) Simplify q*q/q**(-2/15)*q**(2/7)*((q/(q**13*q*q))/q)/(q**(-3/7)*q) assuming q is positive. q**(-1381/105) Simplify (((c**(2/29)/c)/c)/c**(-8/3))/((c*((c/((c/(c**(-1)*c))/c*c))/c)/c*c*c*c)/(c/c**(-7))) assuming c is positive. c**(586/87) Simplify (s**(4/9)/s*s/(s/(s*s*s**(2/37)))*s*(s*s*((s/(s*s**(-1/3)*s))/s)/s*s*s*s)**18)**(-5/9) assuming s is positive. s**(-74090/2997) Simplify (w*w*w**(-7))/((w*w**9*w*w)/w)*w**(-10)*(w/((w*w**(-7/4))/w))/w assuming w is positive. w**(-97/4) Simplify ((l*l/l**(-1/2)*l)/((l**7*l)/l*l*l))/((l/l**(1/8))/l)**(3/10) assuming l is positive. l**(-437/80) Simplify ((g*g*g**(2/25)*g)/(g/(g**9*g*g)))/((g**(2/3)*g*g)/(g*g**(1/2))) assuming g is positive. g**(1787/150) Simplify g/g**(-1/4)*g**(-2/9)*g**13*g*g**19 assuming g is positive. g**(1225/36) Simplify (o*o**(-13/3))/o**36*(o/o**28*o)/o*o**29 assuming o is positive. o**(-112/3) Simplify ((s**(-2/43)*s)/(((s*((s/s**18)/s)/s)/s)/s))/(((s/s**19)/s)/s**10) assuming s is positive. s**(2148/43) Simplify i/i**(3/5)*i*i/i**(-3/10)*(i*i**(-1/2))**(-25) assuming i is positive. i**(-49/5) Simplify (((o/((o*o**(5/4))/o*o*o*o))/o)/(o*o*o**13))/(o/(o/(o/(((o*o*o**(-12))/o)/o)))*o**(-2/3)/o) assuming o is positive. o**(-367/12) Simplify (((d/d**(-2/5))/d)/d*d**29)**(3/13) assuming d is positive. d**(426/65) Simplify (((f*f*f/(f/f**(2/31)))/(f**(-8)/f))**(-13/5))**(16/3) assuming f is positive. f**(-71344/465) Simplify ((d**(-6/19)/(d/d**(-18)))**(29/3))**25 assuming d is positive. d**(-266075/57) Simplify (i**(2/9)/(i**(5/7)*i))/(((i*i**(6/5)*i)/i)/(i/(i**(-2/3)/i))) assuming i is positive. i**(-323/315) Simplify (j/(j*j*j/(j*j**9)))/j**(-3/5)*j*j**15*j*j**(1/2)*j*j assuming j is positive. j**(281/10) Simplify (g/(g*g**4)*g**(1/12))/(g**10/g*g**(-25/2)) assuming g is positive. g**(-5/12) Simplify (j**32/j**(-3/2))/(j**(1/17)/j)**14 assuming j is positive. j**(1587/34) Simplify ((h**(1/7)*h/(h/(h/h**(-1))))**(-6))**(-32) assuming h is positive. h**(2880/7) Simplify s**(-7)/s*s**(2/17)*(s**(-2/5))**3 assuming s is positive. s**(-772/85) Simplify (u/((u*u/(u/u**(-19/2)))/u)*u*u*u**(-3/16)*u*u)**(-4/15) assuming u is positive. u**(-229/60) Simplify ((t*t**(1/9))/t*t*t**(2/13))/(t/t**11*t**17) assuming t is positive. t**(-671/117) Simplify (f*(f/f**(1/2)*f)/f)/(f/f**(-10/3))*f/f**(-6)*f**7*f assuming f is positive. f**(73/6) Simplify ((x/x**(1/5))/x*x)/x**(2/53)*x*x*x*x*x**(-3/7)*(x/(x*x**21*x)*x)/x assuming x is positive. x**(-32771/1855) Simplify (((o/(o/(o*(o/(o*((o/(o*(o/o**(3/10))/o*o))/o)/o))/o)*o))/o*o)/(o/o**(-2)*o*o)*(o**(1/2)*o)**(-28))**16 assuming o is positive. o**(-3624/5) Simplify (i**(-7)/i)**31/(i*i**(-16)*i**(-6)) assuming i is positive. i**(-227) Simplify (b/(b**(-1/2)/b))**(-20)*(b**(-4))**10 assuming b is positive. b**(-90) Simplify ((h*h**(8/9))/h)/h*h*h**(-5/2)*h*h**(4/7)/((h/(h/(h**(-22)*h)))/h) assuming h is positive. h**(2767/126) Simplify (((i**(-4/5)/i)/i)/(i**(-3)/i))/((i/i**13)/(i/(i**(13/5)*i))) assuming i is positive. i**(53/5) Simplify ((f*f/(f*f**(2/7)*f))**(-2/11)*(f*f**(1/2))**13)**15 assuming f is positive. f**(45165/154) Simplify ((h**(9/4))**(-12))**(-12/7) assuming h is positive. h**(324/7) Simplify w**(-25)/(w*w**21*w)*((w*w**(-1/3)*w*w*w)/w)**(-2/97) assuming w is positive. w**(-13984/291) Simplify (f**26/f**(-1/2))/(f**12)**(-45) assuming f is positive. f**(1133/2) Simplify (p**(3/5))**(-35)/(p**(-6/13)*p**(6/13)/p) assuming p is positive. p**(-20) Simplify v/(v*(v**(1/7)/v)/v*v)*v*v**(3/11)/v*v*(v*v**(2/13)*v)/v*v**(-2/33) assuming v is positive. v**(9679/3003) Simplify (h**(2/13)/(h/(h*h*((h*h*h/(h*h/(h**(-10)/h)*h))/h*h)/h*h*h)))/((h**(-2/27)*h)/h**(1/8)) assuming h is positive. h**(-27089/2808) Simplify (v**(-1/4))**(14/9)/(v/((v*v**(-11)*v)/v)*v**(-7/5)) assuming v is positive. v**(-899/90) Simplify h**(-3)/h**(-4/5)*h**16/(h**(-21)/h) assuming h is positive. h**(179/5) Simplify (k/(k**22*k*k))/(k*k*k*k*k**(-5/3)*k)*(((k*k*k**(-2/15))/k)/k)/k*k**24 assuming k is positive. k**(-52/15) Simplify ((r**(-3)*r**(-3/4)*r)**25)**(26/9) assuming r is positive. r**(-3575/18) Simplify (y**(-2/11)/y)**(-4/3)*y/(y**7*y)*y**(3/7)*y assuming y is positive. y**(-923/231) Simplify ((y**(1/3)/(y**(-14)/y))**(-15))**41 assuming y is positive. y**(-9430) Simplify (s*s**(-3)*s)**(-19)/(s**(-6)/(s**(3/4)*s)) assuming s is positive. s**(107/4) Simplify (u**(9/2)/u**0)/((u**(-13)*u)/u**13) assuming u is positive. u**(59/2) Simplify (((m/m**(-16/3))/m*m)/(m/(m*m*m**19*m*m)*m))/(m**(-25)*m/(m/(m*m/(m**(-10)/m*m)*m*m*m*m))) assuming m is positive. m**(109/3) Simplify (k**(-17)*k*k/(k/k**17))**12 assuming k is positive. k**12 Simplify ((c*c**40)**(-24))**(-21/4) assuming c is positive. c**5166 Simplify (s**6*s**4)/(s*s*s/(((s**(-16)/s)/s*s)/s)*s/(s/(s**(-17)*s))*s) assuming s is positive. s**4 Simplify (n*n/((n*n*n**(3/11))/n)*n**(-2/9)*(n**1)**(-5/9))**(2/137) assuming n is positive. n**(-10/13563) Simplify d**(1/6)*d/(d*d**(2/13))*d*(d/(d/(((d*d**(-3/19))/d)/d)))/(d**(1/7)/d) assuming d is positive. d**(7387/10374) Simplify ((w**30*w*w)/w**24)/(w**(2/45))**50 assuming w is positive. w**(52/9) Simplify (u**(-15)*u)**(-6)/(u/(u/((u*u*u**12*u)/u)*u))**14 assuming u is positive. u**(-98) Simplify (c**(-3)*c*c*(c/(c/(c**7/c)*c*c)*c)/c)/(c**13/c**(1/14)) assuming c is positive. c**(-139/14) Simplify ((w**1/w)/w*(w/w**11)/w*w*w*w*w**(-3/5)*w*(w/w**(-1/8))/w)**(3/20) assuming w is positive. w**(-1017/800) Simplify (h**(-2)/((h/((((h/(h*h/(h**(3/2)*h*h*h)*h))/h*h)/h*h)/h))/h)*(h*h*h**(1/5)*h)**27)**(2/65) assuming h is positive. h**(859/325) Simplify ((r/(r**1/r))**(-8/3)/((r/r**(-1)*r*r)/(r*r**4)))**17 assuming r is positive. r**(-85/3) Simplify (u/(u**(7/3)/u))**(-43)*(u*u**(-4/3)*u)**(14/5) assuming u is positive. u**(81/5) Simplify (h/(h/h**(4/7))*((h/(h**(4/7)/h)*h*h)/h)/h)/(h**12*h**3) assuming h is positive. h**(-13) Simplify (g/(g*g**(-1/6)))**16*g**(6/5)*g**(3/7)/g assuming g is positive. g**(346/105) Simplify ((x/(x*x**2*x))/(x*(x*x*x/((x*x**23)/x*x*x)*x*x)/x))/(x**8*x)**37 assuming x is positive. x**(-316) Simplify ((o**(2/5)*o*o**(-3))**(5/9))**(-2/7) assuming o is positive. o**(16/63) Simplify ((i/((i**9/i)/i*i))/i**(-10))/(i/(i*i*i/(i*i*i**(-4)*i*i)))**15 assuming i is positive. i**33 Simplify (y**(2/19))**(-6)*(y*y/((y*y**(4/9)*y*y)/y))/y**(-2/9) assuming y is positive. y**(-146/171) Simplify ((u*u*u*u/(u/(u/(u*u/u**(-2)))*u*u*u)*u)/u**13)**(-22) assuming u is positive. u**330 Simplify (h/(h*h**(-3/4)*h*h)*h/h**(-10))**11 assuming h is positive. h**(429/4) Simplify (o**(-1)/o**6)**(1/19) assuming o is positive. o**(-7/19) Simplify (t*t*t*t**(1/5)*t*t*t/(t/(t*t*t/((t*t**(-11))/t)*t*t)))/(t*t/t**(-3)*t**(5/9)) assuming t is positive. t**(704/45) Simplify ((u**(-1)*u**(-2))/(u*u*u**(1/4)/u*u*u/(u/u**5)))**1 assuming u is positive. u**(-41/4) Simplify (f*(f**11/f)/f*f*f**(-1/2)/f*f*f)/(f**(-9)*f**12/f) assuming f is positive. f**(19/2) Simplify ((g**(1/6)/g)**(-32))**(-18) assuming g is positive. g**(-480) Simplify (i**(7/5))**3/(i**(-11))**34 assuming i is positive. i**(1891/5) Simplify ((w*w*w**(-1/11)*w/(((w**(-1/11)/w)/w)/w))**(-3/7))**(-44) assuming w is positive. w**(792/7) Simplify ((l*l**(8/3)/l*l)/l*l**11)/((l*l**(3/20))/(l**(9/5)/l)) assuming l is positive. l**(799/60) Simplify (o**(1/10)*o**(-2/21)*(o*o**5*o)/(o*o**(1/5)))**(-5) assuming o is positive. o**(-1219/42) Simplify p*p**(-2/13)*p*p/((p*p**(3/5))/p)*(p*p**(-8/7))**(-6/25) assuming p is positive. p**(5188/2275) Simplify y**10/(y*(y*y*y**(-3/7)/y*y)/y*y)*(y**(-15)*y)/(y*y**(-11)*y) assuming y is positive. y**(17/7) Simplify (x/(x**(2/49)/x)*x*x*x)**32/(x/(x/(x/(x/(x/(x/((x/(x*x**20*x))/x))))*x))*x)**(1/37) assuming x is positive. x**(288692/1813) Simplify (u**1)**(-49)/(u**1*u*u**(-2/19)) assuming u is positive. u**(-967/19) Simplify (((i*i*i*i**2*i)/i**(1/3))/(i*i*i/i**6*i*i**(-4)))**28 assuming i is positive. i**(980/3) Simplify (p**(-4/15)*p*p/(p*p**(1/2)/p)*p)/(p/p**(3/2)*p**(-4)) assuming p is positive. p**(101/15)
Let v be (-22)/(-14) + -2 - (-4455)/105. Suppose -5*r + 179 = 29. Let i = v - r. Does 5 divide i? False Is (-25 - 11)*2/(-4) a multiple of 3? True Suppose 100 = 5*c + 5*g, 5*c + 5*g = g + 105. Is c a multiple of 12? False Let p(k) = 2*k - 4. Let z(o) = o**2 - 7. Let y be z(-5). Let s be (-3)/y - (-172)/24. Does 10 divide p(s)? True Let c = -8 + 11. Let g be 171/c - 0/(-1). Suppose g = 2*m + m. Is 19 a factor of m? True Suppose 2*r = 12*r - 240. Is r a multiple of 8? True Suppose 0 = -19*y + 3*y + 3968. Is 35 a factor of y? False Let o = -85 + 47. Let r = 71 + o. Is 11 a factor of r? True Let j(n) = 5*n + 15. Is 14 a factor of j(11)? True Let w(a) = -8*a - 24. Is 14 a factor of w(-10)? True Suppose 5*c + 41 = n, 0*c = -2*n + 2*c + 74. Suppose 0 = -4*o + n + 64. Does 9 divide o? False Suppose -i - 2*v - 10 = 0, -4*v + 14 = -2*i - 5*v. Let t = 10 - 4. Let n = t - i. Is 11 a factor of n? False Let p(u) = -u**2 - 7*u + 9. Let s be p(-10). Let j = 19 - s. Is 8 a factor of j? True Does 20 divide (-4)/1*(-12 + 2)? True Let b(m) = 27*m**2 + 4*m + 3. Let s be b(-2). Let h = s + -62. Is h a multiple of 20? False Let b(y) = -y**2 + 13*y - 9. Is 9 a factor of b(8)? False Let k(a) = 3*a**2 - a - 2. Is 8 a factor of k(2)? True Let n(g) = 5*g**2 + 2*g + 1. Is n(-2) a multiple of 17? True Suppose -4*a = -k - 521, 4*k = 4*a - 232 - 304. Does 43 divide a? True Let v(d) = -d**2 + 4*d + 7. Let j(n) = n**3 + 7*n**2 - n - 2. Let m be j(-7). Let r be v(m). Suppose r*y + 2*y = -8, -3*y - 11 = -l. Is 2 a factor of l? False Suppose 0 = 2*s + 3*o - 585, -5*s = -o + 2*o - 1495. Does 25 divide s? True Let g = -19 + 60. Is 12 a factor of g? False Let f(q) = 2*q**3 + q**2 + 2. Let c be f(-2). Let v be (8/c)/((-2)/5). Suppose v*s + 0*x = x + 39, -2*s - x = -37. Does 19 divide s? True Is (-16 + 13)*-1*19 a multiple of 3? True Suppose -6 = 4*h - 46. Let a be 44/h - 2/5. Does 9 divide 2 - a - (-1 - 26)? False Suppose -3*l = -0*l + 48. Let w be (-3)/9 + l/(-3). Does 10 divide 2/w - 96/(-10)? True Let z = 1 - -7. Let q = 7 + z. Is q a multiple of 15? True Suppose 3*q + k = 6, 0*q = -3*q + 4*k - 9. Suppose -s = -h - 1 - q, 2 = -4*s - h. Suppose -34 = -2*d + 4*u, s = -2*d - 2*d - 5*u + 120. Is 10 a factor of d? False Let n(h) = 2*h**2 + 4*h + 3. Is 11 a factor of n(6)? True Let q(h) = -h**3 - 2*h**2 - 4*h - 4. Let u be q(-2). Suppose -4*b + u*y = -232, 3 = 2*y + 1. Is 25 a factor of b? False Does 28 divide (-3*16/(-120))/((-2)/(-140))? True Suppose y + 3 - 5 = 0. Suppose 0 = -7*w + y*w + 40. Is w a multiple of 8? True Suppose x - 59 - 7 = 0. Suppose 3*k = -0*k + x. Does 6 divide k? False Suppose 7*v - r = 4*v - 1353, -v - 3*r - 461 = 0. Let z be v/(-10) - (-1)/(-5). Is (z/20)/((-1)/(-16)) a multiple of 13? False Let p(z) = -z**3 - 5*z**2 - z - 11. Let j be p(-5). Does 8 divide -2*(2 - (-93)/j)? False Suppose -2*h - 141 = h. Let z = h - -86. Does 13 divide z? True Let n(i) be the third derivative of 0*i - 5*i**2 + 0 + 2/3*i**3 - 1/24*i**4. Does 4 divide n(-4)? True Let c(o) be the second derivative of o**4/12 - o**2/2 + o. Let l(y) = y**3 + 2*y**2 - 2*y + 1. Let f be l(-2). Is 12 a factor of c(f)? True Suppose -4*v - 3*j = -9, -2*v - 5*j + j + 2 = 0. Is v a multiple of 3? True Let f(u) = -u**3 + 7*u**2 - 3*u - 1. Let g be f(3). Let c = g - -12. Suppose x - c = -x. Does 9 divide x? False Let q(f) = 9*f - 7. Let c(r) = -8*r + 7. Let o(u) = 6*c(u) + 5*q(u). Is o(-8) a multiple of 21? False Suppose 3*p = -0*p + 45. Suppose 6*i - p = i. Is 6 a factor of -6*(-9 + 0)/i? True Let b(w) = w**3 + 8*w**2 + 2*w - 3. Let k = -21 - -18. Does 11 divide b(k)? False Let g = 65 + -2. Suppose b = -4*l + g, -9 - 99 = -2*b + l. Let k = 91 - b. Is 18 a factor of k? True Let m(y) = 2*y + 5 + 2*y**2 - 4 - 31*y**3 + y**2 - 2*y**2. Is m(-1) a multiple of 15? False Let i(k) be the second derivative of 1/12*k**4 + 4/3*k**3 - 6*k**2 - k + 0. Is 3 a factor of i(-10)? False Suppose 0 = 3*s - 3 - 3. Suppose -3*f - 2 = s*w, 3*f - 4 = 3*w + w. Is (0 - (0 - 16)) + f a multiple of 7? False Let h be (-40)/15 + (-2)/(-3). Let r = h + 4. Is 2 a factor of r? True Is ((-2 - -310) + 2)*4/10 a multiple of 7? False Let x be -1*4*656/(-64). Suppose 4*r - 7 = 4*u + x, r + 4*u + 3 = 0. Is 6 a factor of r? False Suppose -3*n - 4*d - 44 = 0, -5*n + 5*d - 46 = 4. Is (132/18)/((-2)/n) a multiple of 11? True Let p(d) = -d - 3. Suppose a - 3*a - 12 = 0. Let q be p(a). Is (-100)/(-6) - 2/q a multiple of 16? True Let m = 10 + -8. Suppose m*x = 5*x - 36. Is x a multiple of 12? True Let v = 3 + 0. Suppose 0 = 5*j + 3*g - 39, -v*j - 2*g = 3*g - 33. Is 3 a factor of j? True Suppose -y + 3*y = -4*m + 78, -m + 36 = y. Is 5 a factor of y? False Suppose 0 = 3*i + 9, 4*i = 2*m + 2*i - 12. Does 16 divide (-2)/m*(-24)/1? True Suppose -166 = -2*t - x - 26, 2*t - 156 = 3*x. Is 24 a factor of t? True Let m = 7 - 4. Let l(b) = 3*b - 4. Is l(m) a multiple of 3? False Suppose -5*t + 4*b + 239 = 0, 3*b = 2*t - 153 + 63. Is 17 a factor of t? True Let b(p) = p**3 - 5*p**2 - 6*p + 2. Let h be b(6). Is 20 a factor of h*9*(-3)/(-2)? False Suppose 2*c + 80 = 5*n, 6*c = 3*c. Suppose 3*j - n = j. Is j a multiple of 3? False Suppose 4*g - g = -102. Let y = -19 - g. Is y a multiple of 12? False Let i = 43 - 29. Is i a multiple of 14? True Let c = 2 + -1. Suppose 4*s = 13 - c. Suppose -s*n + 5*n + 98 = 4*r, 5*r = -5*n + 130. Does 11 divide r? False Does 23 divide ((-14)/(-3))/((-7)/(-189))? False Suppose 3 = t - 3. Is 16 a factor of (t - -52) + 1/(-1)? False Suppose -3*f = -1 - 11. Is 9 a factor of (51/6 - f)*10? True Let c = 46 - 10. Is 15 a factor of c? False Is (9/(-6))/((-18)/3048) a multiple of 12? False Let o be (-24)/(-15) - (-2)/5. Suppose -22 = -o*y - 6. Suppose 12 = 3*n, -5*t - 3*n = -y*n - 115. Is 14 a factor of t? False Let p(t) be the first derivative of t**2 + 8*t - 3. Let m be p(-8). Let i(z) = z**3 + 7*z**2 - 8*z + 6. Does 3 divide i(m)? True Let a(q) = -q**2 - 19*q - 2. Is 11 a factor of a(-16)? False Let q be (-6)/(((-9)/2)/(-3)). Is 90/q*(-6)/5 a multiple of 11? False Let h = 9 - 5. Suppose h*f + 5 = w + 1, -2*f - 16 = -4*w. Let r = f + 32. Is 16 a factor of r? True Suppose -3*p + 3*x + 21 = 0, -4*p - 5*x = -2 + 1. Suppose 5*y = 3*v + y - 505, -3*y = -4*v + 685. Suppose p*s = -s + v. Does 11 divide s? False Let x(t) = 3*t**2 - 2*t - 1. Let i be x(3). Suppose -5*w + 5 = l, -w - 5 = 4*l - 6*w. Is 7 a factor of (0 - -1)*l + i? False Suppose -4*p + 309 + 95 = 0. Suppose p + 44 = 5*h. Is 14 a factor of h? False Let g = 31 + -22. Suppose -3*l = 5*u + g + 116, -35 = l - 5*u. Let v = 66 + l. Is v a multiple of 16? False Let c = -8 + 6. Let u be (-3 - -13)*(-7)/c. Let j = u + -13. Is j a multiple of 7? False Let g be 1*(-2 - 0)*1. Is 7 a factor of 6*5 + 0 + g? True Let n(z) = 2*z**2 - 2*z**3 + 6*z**3 - 3*z**3 + 4*z. Let m be n(-5). Is m/(-4) - (-1)/4 a multiple of 12? True Let p be (-8)/(-28) - (-2726)/14. Let z = 322 - p. Suppose -4*x - 51 = 4*i - z, 2*x - 50 = -5*i. Is 6 a factor of x? False Is ((-68)/(-5))/((-30)/(-375)) a multiple of 34? True Suppose -3*b - 3 = -3*x, -3*b - 19 = 2*x + 2*b. Let d be 8*-1*10/x. Suppose 0*u + d = 2*u. Does 11 divide u? False Let w = 5 + -2. Suppose 4*f = w*t + 91, f = -0*t - t + 14. Is 10 a factor of f? False Let s(u) = 27*u**2 + 3*u + 2. Does 8 divide s(-2)? True Suppose -30 = 3*s - 6. Let d be (-26)/s - (-2)/(-8). Suppose d*x = -5*p + 44, 5*p + 13 = -2*x + 54. Does 6 divide p? False Let y be ((-69)/(-6))/(3/36). Suppose 0 = -3*o + 24 + y. Does 27 divide o? True Let x(z) = -11*z - 6. Is x(-4) a multiple of 38? True Suppose -785 = -8*q - 177. Is 7 a factor of q? False Suppose -6*n - 2520 = -15*n. Is 35 a factor of n? True Let h be ((-10)/15)/((-2)/9). Suppose t + h*z + 1 = -11, -3 = 4*t + 3*z. Is (-15 - 0 - t)/(-1) a multiple of 9? True Suppose -w + 5*j + 25 = -2, -3*w + 5*j + 61 = 0. Does 9 divide w? False Let q = -22 - -20. Does 9 divide (26 - q) + 2 + -1? False Let j(w) = -13*w - 1. Let a be j(-1). Let v be 728/39 + 4/(-6). Is a/v - (-8)/6 a multiple of 2? True Let o(c) = c**3 - 9*c**2 + 10*c - 1. Let j be o(8). Let y = j + 4. Is 14 a factor of y? False Let r = -52 + 76. Does 16 divide r? False Is 39/((28/12)/7) a multiple of 24? False Suppose -x - 2*t = x - 628, -2*x + 3*t + 613 = 0. Is x a multiple of 45? False Suppose -3 = y - 9. Suppose y*h - h = 40. Let c = 23 - h. Does 15 divide c? True Suppose 2*h + 2*h + 4 = 0. Let s be ((-2)/h)/((-8)/(-20)). Suppose 0 = p - 2*x + s - 18, 5*p = 3*x + 86. Is p a multiple of 6? False
Let p = 12/11 + -106/77. Which is smaller: -10 or p? -10 Let f be 7/(-42) - (-47)/(-6). Is -10 greater than or equal to f? False Let x be 1/(-4 - -4 - 1). Which is smaller: -8 or x? -8 Suppose -f + 4*k - 148 = 3*f, -k - 191 = 5*f. Is -38 smaller than f? False Let g(o) = -2*o + 2. Let m be g(-4). Let i be (-33)/45 - (-4)/m. Let x = -2 - -1. Is i greater than x? True Suppose 0*u + 36 = 4*u. Suppose 3*h - u = 0, h - 2*h + 7 = 2*q. Which is smaller: -2 or q? -2 Let f be 2/(-6) - 8/(-6). Suppose f = 2*l - 1. Suppose l + 2 = -3*t. Is t <= -1? True Let r = -3 + 3.1. Let n be (-1 - -3)/((-8)/108). Let t be (3/(n/6))/2. Which is smaller: r or t? t Let z = 2 - 7. Let v = -6 - z. Which is bigger: 1 or v? 1 Suppose 0 = 4*s + 3*z - 33, -s - 3*z = 2*s - 21. Which is smaller: 2/9 or s? 2/9 Let r be 2/5*20/11. Which is smaller: r or 2? r Let b(i) = -i - 8. Let g be b(-7). Let t be g/(-4) - 294/24. Is t greater than or equal to -11? False Let l be (-2)/4 + (-13)/(-2). Suppose 4*o - 2 = -l. Suppose 2*a = -3*g + 2, 0*a + 8 = -2*a + 2*g. Does o = a? False Suppose 3*v - 24 = -v. Suppose 0 = -2*u + v - 0. Which is smaller: u or 1? 1 Suppose -60 = 5*q - 0*q. Let t be (q/(-30))/(9/(-5)). Which is smaller: t or 0.2? t Suppose -15 = -5*s + 2*d, s + 3*d + 2*d = -24. Suppose -z = -0*z + s. Do z and 2/9 have the same value? False Suppose -4*o - 3 = -15. Suppose o*h - 6*h = 0. Which is bigger: 2/13 or h? 2/13 Let b be 3/9 + 1941/36. Let f = 8905/164 - b. Which is bigger: f or 1? 1 Let h = 0.02 + 0.08. Let u = -9.2 + 14.5. Let f = u - 5. Which is smaller: h or f? h Let t(d) = d**2 - 6*d + 5. Let i be t(4). Let b = -3 - i. Let l = 3/5 - -3/20. Is b at least as big as l? False Suppose -x - 4*o = -8, 2*o + 23 + 39 = 5*x. Are 13 and x unequal? True Let t(y) = -y + 4. Let l be t(0). Let h(s) = -s**2 + 5*s - 1. Let f be h(l). Is 1 greater than f? False Let k be ((-3)/402)/(1/4). Which is smaller: k or 0? k Let t = -0.09 - 0.21. Let f = -0.5 - t. Which is smaller: f or -0.5? -0.5 Suppose 5*f - 114 = 2*f. Let z be ((-8)/(-6))/((-1)/(-3)). Suppose -z*t = -5*p + f, 3*p + t + t = 14. Is 5 <= p? True Let b be (((-18)/12)/(-3))/(2/(-12)). Which is smaller: -6 or b? -6 Let s be 46/(-23)*((-78)/(-4) - -1). Which is greater: -40 or s? -40 Let b = -1.84 + 1.7. Let f = 0.09 + b. Let t = 0.15 + f. Which is smaller: t or 0? 0 Let u be (-33)/42 - 2/(-4). Let q(m) = m + 1. Let y be q(1). Suppose 7 = 5*b - 3*a, 0 = y*b - 3*a - 0 - 10. Which is greater: u or b? u Let d be 7*(-3 - (-31)/7). Which is bigger: d or 11? 11 Let f = -4 - -5. Which is smaller: f or 37? f Let l = 22925/96 + 305/32. Let t = -252 + l. Let c = t - -23/6. Which is smaller: 1 or c? c Suppose -3*p + 74 - 14 = 0. Is p at most as big as 19? False Let z be ((-1)/(-9))/((-20)/40). Which is greater: 6 or z? 6 Suppose -5*s + 6 = 1. Let w be (s + -8 - -3) + 0. Which is smaller: -5 or w? -5 Let y = -9 - -7. Let h be ((-1)/(-10))/(y/12). Which is bigger: -2 or h? h Let z = 3 + -1. Which is smaller: z or 14? z Let u be 4 - ((-832)/28 - 2). Let b = u + -36. Is -0.2 bigger than b? True Let y(t) = -19*t - 9. Let s be y(-6). Let c be 1/2*(-20)/s. Which is smaller: 0 or c? c Suppose 0 = -2*q, q = -2*w - 2 + 4. Suppose 5*g - g = -8. Let y = g - -4. Which is greater: w or y? y Let u = -9.2 - -17. Let p = -9 + 17. Let o = p - u. Which is smaller: -1/4 or o? -1/4 Let k = 0.22 + -0.1. Let b = 0.23 - k. Let y = 0.01 - b. Is y smaller than 1? True Let r = -14 - -5. Let z = r - -4. Is -5 < z? False Let j = 65 + -391/6. Which is smaller: 0 or j? j Let q = 0.003 - 1.003. Which is bigger: q or -1/26? -1/26 Let z = -0.389 - -0.189. Is z at most -2/87? True Let c be 222/(-110) + (-16)/88. Which is smaller: -1 or c? c Let a be 2 + -4 - 16/(-10). Which is smaller: 115 or a? a Let d be 1/(-9 - 0)*1. Which is bigger: 1 or d? 1 Suppose -3*t = 3*t + 6. Is 3/20 less than t? False Let f = -558612 - -10611043/19. Let h = f - -136. Which is greater: 0 or h? 0 Let a(m) = m**3 + 9*m**2 - 9*m + 5. Let v be a(-10). Let q = v - 0. Which is smaller: -8 or q? -8 Let p = 32 - 54. Let d be (-4)/p - 118/44. Which is smaller: d or -2? d Let f = 0.6 + -0.2. Let j = 0 - f. Is -1/2 < j? True Suppose -3*i - 5*v = -7, 2*i - 5*v + 4*v + 4 = 0. Let k = 1 + 0. Let o = -3 + k. Do o and i have the same value? False Suppose -2*y = y - 15. Suppose l - 14 = -2*x, 2*l = -2*l - y*x + 41. Suppose p = -3*n - n - 4, -l*n + 2*p - 16 = 0. Is -3/2 less than or equal to n? False Let t be 1*(125/45)/5. Which is smaller: t or 0? 0 Let j = -5 - -11. Is 6 < j? False Let r = -4 - -5. Let q = 0.6 - 5.6. Which is smaller: r or q? q Suppose -5 = 4*q + 3. Let d be (-32)/(-6) + q/6. Which is bigger: d or 8? 8 Let q = 12.3 - 12. Which is smaller: q or -2? -2 Let g = -33 + 97/3. Which is bigger: -2 or g? g Let l = 0.21 - -10.79. Let a = l - 11.6. Is 0 at most a? False Suppose 2*o + 2*o = 80. Let l be (6/o)/((-2)/5). Is -1 at least as big as l? False Suppose -4*c - 23 = -5*u, -c + 19 + 19 = 5*u. Suppose 3*r - r = -5*m - 20, -r - u = m. Is -6/11 <= m? False Let f(s) = -s**2 + 5*s - 1. Let l be f(5). Let q be (-2)/(-5) + (-36)/(-10). Let y be (1 + 0)/(3 - q). Is y > l? False Let p = 0.08 + 0.92. Let b = p - 0.48. Let m = b + -0.02. Is 1 not equal to m? True Suppose 0*q - 5 = -5*q. Which is smaller: 7/4 or q? q Let i = 87 - 80. Is i > 0.1? True Suppose -5*y + 2*y = -18. Let t be 69/27 + y/(-2). Is t bigger than 1? False Let s be (-20)/21 - (-18)/27. Is s at least 19? False Let f = 26.2 + -26. Which is bigger: -4/11 or f? f Suppose -4*c = -4*m - 12, -5*c + 0*m = 3*m + 1. Suppose o - c = 2*o. Let p = 2/17 + -23/51. Which is bigger: p or o? p Let y = -0.016 + -1.984. Is y bigger than -2/27? False Let s = 5 - 7. Let u be ((-1)/2*0)/2. Which is smaller: u or s? s Suppose 1 = -3*n + 22. Let o(u) = n*u + 2*u**2 - 2*u**2 + 3 + u**2. Let m be o(-6). Is m greater than -3? False Let i(s) = -s + 2. Let t be i(-2). Suppose 0 = 3*g - t*b + 17, g - 21 = -2*b - 2*b. Is -2/13 bigger than g? False Let c = 0.32 + -0.52. Which is bigger: 1/4 or c? 1/4 Suppose 0 = b - 9*b - 56. Is b at most as big as -4? True Let u = 3.04 - 0.04. Let b = u + -3. Let n = 3 + -3.2. Which is smaller: n or b? n Let h = -1 + -0.5. Let t = 1.4 + h. Which is greater: t or 6? 6 Let w = 386/885 - 10/59. Which is smaller: 1 or w? w Let g be (6/9)/(2/(-6)). Let v be (5/(-2))/5*g. Let c = -1 + 1. Is c less than v? True Let c = 6 + -6. Let v be ((-1)/(-45))/(1/(-1378)). Let l = v - -152/5. Is l > c? False Let c = -51 - -52. Which is bigger: 2/25 or c? c Suppose 10*v - 13*v - 3 = 0. Is 2/21 >= v? True Let v = -222 + 2440/11. Is 0.4 <= v? False Suppose 0 = -3*m - 5*l + 27 - 9, 0 = -3*m + 5*l - 12. Suppose 2*s - s = m. Which is greater: -1/3 or s? s Let b be (-5)/(10/6) - -15. Suppose 28 = 5*o - b. Suppose -i = i + o. Which is smaller: -5 or i? -5 Suppose 7 = 3*n - 17. Let a be 2*1/3*336/32. Which is smaller: n or a? a Let s = 547/2 + -16969/62. Is s equal to -1? False Let x = 2/193 - -153/3860. Which is smaller: x or -1? -1 Let w = 93/287 - -180/41. Which is smaller: w or 4? 4 Let k = 15.81 - -0.19. Let i = k - 16. Which is bigger: i or -4? i Suppose 2*d + 22 = 2*j, 0 = -5*j + 3*d - 5*d + 34. Let c = j - 6. Is 1/2 at least c? False Let p = -0.1 - -0.2. Let m = -2 - -1.96. Which is greater: p or m? p Let d be (-85)/25 - 2/(-5). Let s = 2 + d. Which is smaller: 1/2 or s? s Suppose -5*c + q - 4 = 0, -4*c - 4*q = -5*c + 3. Let i = 11 + -8. Let y be 12/8 + i*c. Is y at least as big as -1? False Let s be 13/(-91) - 2/(-210). Which is bigger: s or -1? s Let i be (-5)/(-2)*(5 - 3). Let o = i - 6. Is o at least 1/4? False Let g be (-32)/(-14) + 2/(-7). Suppose -2*d + 4*d = 4. Is g <= d? True Let y be 2/3*(-216)/48. Which is bigger: y or -2? -2 Let t(p) = -p**3 + 8*p**2 - p + 6. Let b be t(8). Let w = 6737/4 + -1638. Let f = w - 47. Which is smaller: f or b? b Suppose 2*m - 3 = -7. Is -7/3 at most m? True Let v = 9 - 8. Is -2/31 smaller than v? True Suppose 12 = -3*l, -4*l - 8 = 4*j + l. Suppose -15 + 1 = 5*z + j*n, -2*z - 10 = -n. Let f = -20 - -16. Is f less than z? False Let b = 4 + -6. Let k be 1/(b*3/(-18)). Suppose -k*h + 12 = 2*h - 3*c, 4*h - c = 4. Is -1 less than h? True Let k = 48351/79 + -612. Which is smaller: 0 or k? 0 Let b be -4*(-1)/(1 - 0). Let k be -1 - 0 - 1*-2. Suppose -u = -h - k, -2*h + 7*u = 2*u - b. Do h and -3 have different values? False Let b = 444 + -3124/7. Which is smaller: b or -3? -3 Let z = 2 - 1. Suppose 2*m + 4*d - 4 = 0, -4*m + 0*m + 3*d - 3 = 0. Is z > m? True
Expand (1 + 1 - 4)*(-9*a + 30*a + 10*a). -62*a Expand (6 - 5*p - 6)*(-4 - 2*p + 2*p - 2*p). 10*p**2 + 20*p Expand (3*a - 3*a - 2*a)*(3*a**2 + 2*a**2 - 6*a**2 + (-3*a + 2*a + 0*a)*(4*a + 0*a - 3*a) + 5*a**2 - 3*a**2 - 3*a**2 - 5 - a**2 + 5). 8*a**3 Expand (-3*k - k + 3*k)*(-6*k + 4*k + 5*k + (-4 - k + 4)*(-1 + 0 + 2)). -2*k**2 Expand (2*h**5 + 2 - 2)*(5 - 5 - 1) + 20*h + h**3 + 5*h**5 - 20*h. 3*h**5 + h**3 Expand (0 - 2*h**2 + 0)*(-h - 4*h + 4*h) + 2*h**3 + 0*h**3 + 0*h**3 + (2*h + h**2 - 2*h)*(-3*h + h + 4*h). 6*h**3 Expand (-2*t + t - t)*(2 + 2 - 2) + (2*t - 2*t + t)*(1 + 1 - 3). -5*t Expand (7 + 2*k**2 - 7)*(3 + 2*k**2 - 5 - 2*k + 2*k**2). 8*k**4 - 4*k**3 - 4*k**2 Expand -3*a**5 - a**5 + a**5 + (5 - 3 + 0)*(0*a**5 + 0*a**5 + 3*a**5) + 35*a + 3*a**3 - 35*a + a**5. 4*a**5 + 3*a**3 Expand (3 - 3 + 4*o**3)*(-1 - 3*o + o + 0*o). -8*o**4 - 4*o**3 Expand (6*v - 9*v - 41*v)*(3 - 2 + 1)*(-1 + 5 - 5 + 2*v). -176*v**2 + 88*v Expand (-1 + 1 + 2*u)*(2*u - 5*u + 0*u) + 0*u**2 - 2*u**2 + 3*u**2 + u**2 + 0*u + 0*u. -4*u**2 Expand (-3 + 0 + 6)*(3 + d**2 - 3 + 2 - 2 + d**2 + (-4*d - d + 3*d)*(-3 + 3 - 2*d) + 0*d**2 - d**2 + 3*d**2 + 0*d + 0*d - d**2)*(d**2 - 3*d + 3*d). 21*d**4 Expand -b**2 - 2*b**2 + b**2 + 4*b**2 - 2*b**2 - 4*b**2 + (2 - 2 - 1)*(2*b - 2*b + b**2) + b**2 - 5*b**2 + 2*b**2 - 3*b**2 + 3*b**2 + 2*b**2. -5*b**2 Expand (-4 - 2 + 7 + (-2 - 3 + 3)*(-2 + 6 - 3) - 1 - 1 + 4)*(-2*u**3 - 3*u**3 + 3*u**3). -2*u**3 Expand -44*s**4 + 11*s**4 + 14*s**4 + (-2*s - 3 + 3)*(-5*s + 5*s - 2*s**3). -15*s**4 Expand (7 + 7 + 0)*(-3*m - m + 2*m + (2 - 2 + 2*m)*(-1 + 0 - 1) + 4*m - 5*m - m). -112*m Expand (-3*g - 2*g + 3*g)*(-2*g + 3*g - 2*g)*(-2 + 0 + 4 + (6 + 3 - 6)*(-2 - 1 + 5)). 16*g**2 Expand -2*z**4 + z**4 + 2*z**4 + (0*z**2 - 3*z**2 + 5*z**2)*(-4*z**2 + 6*z**2 + 5*z**2). 15*z**4 Expand (-2 - 4 + 1)*(-4*n + 4*n + 2*n)*(9 - 6 - 2). -10*n Expand (-2*g + 4*g - 3*g - g**2 + 2*g**3)*(1 - 3 - 3). -10*g**3 + 5*g**2 + 5*g Expand (t**3 + 0*t**3 + 0*t**3)*(-1 - 3 - 3) + 2*t**3 + 0*t**3 - 3*t**3 - 3*t**3 - 5*t**3 + 5*t**3. -11*t**3 Expand (-23 - v + 6*v - 3*v + (-3 + 0 + 2)*(-2*v - 2 + 2) + v + v - v)*(v**2 - 2*v**2 + 3*v**2). 10*v**3 - 46*v**2 Expand 0*b - b - b + 4*b - 4*b + b - b - 5*b + 5*b + (2 - 1 + 0)*(-b + 5*b - 2*b) + 2*b + 4 - 4 - 2*b - 2*b + b - 3*b + 4*b + 7*b. 7*b Expand (-4*j**2 + 0*j**2 + 5*j**2)*(j + 5*j - 5*j) + ((0 - 1 - 1)*(j - j + j) - 2*j + 0*j + j)*(0*j + j**2 + 0*j). -2*j**3 Expand (27*p - 18*p + 33*p)*(-6*p + 4*p + 4*p). 84*p**2 Expand (12*z + 10*z - 2*z)*(2*z**4 - 4*z**4 + 4*z**4). 40*z**5 Expand (7 - 6 - 7*a**2 - 3)*(-2 + 2 + 5)*(3 - 3 + 2*a). -70*a**3 - 20*a Expand (2 + 0 + 3)*(-3*q**5 + 3*q**3 - 3*q**3). -15*q**5 Expand (-1530*m + 50*m**3 + 1530*m)*(3*m - 2*m**2 - 3*m). -100*m**5 Expand (1 + 1 + 0)*(16 - 16 - 5*t). -10*t Expand (1 - 3 + 4)*(2*x**4 + 3 - 3) + 3*x**2 - 3*x**2 - 2*x**4 + (3*x - 3*x + x)*(-4*x**3 + 2*x**3 + 0*x**3) + (-6*x**4 + 3*x**4 + 4*x**4)*(-1 + 0 - 1). -2*x**4 Expand (0 + 0 - 3*z)*(-21 - 27 + 41). 21*z Expand 8*u**3 + 2*u - 2*u + (2*u**2 - u**2 - 2*u**2)*(0 - 2*u + 0) - 3*u**3 - 2*u**3 + 7*u**3 - 2*u**3 - 2 + 2. 10*u**3 Expand q - 2*q**4 - q - 3*q**4 + 4*q**4 - 3*q**4 + 2*q**4 - 4*q**4 + 4*q**4 + (-4*q**2 + 2*q**2 + 3*q**2)*(-4 + 4 + q**2) - q**4 + 3*q**4 + 0*q**4. q**4 Expand (-2*q + 0 + 0)*(3*q**3 - 2*q**2 + 2 + 2*q**2). -6*q**4 - 4*q Expand (3*u**2 + u**2 - 6*u**2)*(8 + 1 - 1)*(0 + 0 + u). -16*u**3 Expand (-2*p + p + 2*p)*(-2 - 7 - 1). -10*p Expand (0 + 0 + 3*q + (-1 - 2 + 2)*(-1 + q + 1) + q + q - q)*(0*q - q + 2*q). 3*q**2 Expand (3*z - z - 5*z)*(-2 + 1 - 3)*(4 - 4 - 2*z). -24*z**2 Expand (-20*d + 13*d - 2 + 9*d)*(2 - 3 - 1). -4*d + 4 Expand (-304 + 32*j + 304)*(3 - j - 3). -32*j**2 Expand (-q**5 - q**5 + 3*q**5)*(1 - 6 + 2) + (q**2 + 2*q**2 - q**2)*(-1 + 1 + q**3) + (3*q**3 + 7*q**3 - 3*q**3)*(-q**2 - 2*q**2 + 4*q**2). 6*q**5 Expand (3*i**2 - i**2 - 3*i**2)*(0 + 3 - 1) + (-3 + 4 + 0)*(2*i**2 - 3 + 3) + 2*i**2 + 4 - 4 + 1. 2*i**2 + 1 Expand (-v + 3*v - 3*v)*(-4 + 1 + 4) + v - 4*v + 2*v + 3 - 3 + v + (3*v + 0*v - 5*v)*(-3 + 0 + 5) - v + 2*v + v - v + v + 2*v. -v Expand (3 - 2 - 3)*(d**3 - d**3 + 4*d**3) + (-2*d**3 - 5*d**3 + 5*d**3)*(-29 + 68 - 22). -42*d**3 Expand (6*v - 3*v - 2*v)*(-8*v - v**2 + 7*v + 2*v**2 + 1). v**3 - v**2 + v Expand (5 - 2 + 4)*(-5*p - 1 - p + 5*p). -7*p - 7 Expand ((-4 + 1 + 2)*(2 + 2 - 2) - 4 + 1 + 1)*(-2*s - 2*s - s + (-3 - 2 + 4)*(-3*s - s + 2*s)). 12*s Expand (i + 2*i**2 - i + (i + 4*i - i)*(3*i - 2*i + 0*i))*(0*i + 4*i - 2*i). 12*i**3 Expand (0*d + 2*d**2 - 12*d + 7*d)*(d**2 + d**2 - d**2). 2*d**4 - 5*d**3 Expand 23*x**3 - 395*x**2 + 395*x**2 + (2*x**2 - 4*x**2 + 3*x**2)*(x - 4*x + 4*x). 24*x**3 Expand (-4 + 1 + 4)*(1 + i - 1)*(-i**3 + 0*i**3 + 0*i**3 + (i**2 + 2*i**2 - 4*i**2)*(-3*i + 3*i + i)). -2*i**4 Expand (-5 + 3 - 1)*(17 - 17 + l**5) + 0*l - 3*l**5 + 0*l. -6*l**5 Expand (t - 2*t + 2*t + 1)*((t + 2*t**3 - t)*(4 - 3 - 3) - 17*t**3 - 33*t + 33*t). -21*t**4 - 21*t**3 Expand 11*z + 14*z**5 - 11*z + (6*z**4 - z**4 - 3*z**4)*(3*z - 2*z - 3*z). 10*z**5 Expand (-x**4 + 2*x**4 + x**4)*(0*x + 2*x - 3*x + (-1 + 6 - 3)*(0*x - x + 2*x)). 2*x**5 Expand -u**2 - 2*u**3 + u**2 - 2*u**3 + 5*u**3 - 2*u**3 + (1 - 1 + 2*u)*(1 - 1 + 2*u**2) + 0*u**3 + u**3 + u**3 - 2*u - 2*u**3 + 2*u - 2 + 2*u**3 + 2. 5*u**3 Expand (0 + 0 + 3)*(2*y - 3*y - y)*(25 + 3*y**2 - 25) + 3*y**3 - y + y. -15*y**3 Expand 0*r + 3*r - r + r + 3*r - 5*r - r + 0*r + 0*r + (4 - 4 + r)*(0 + 0 - 2) + r + 1 - 1 + (5 - 5 + 5*r)*(-2 - 2 + 3). -6*r Expand (2*a**3 - 2*a**3 + a**3)*(a + a - a) + 0*a**4 + 4*a**4 - 2*a**4 - a**4 - 3*a**4 + 2*a**4. a**4 Expand 0*u**2 + u**4 + 0*u**2 + (-18*u**3 - 25*u**3 + 24*u**3)*(2*u + 2*u - 6*u). 39*u**4 Expand (-5*p + 4*p - 2*p)*(1 - 4 + 5) + (1 - 2 + 2)*(-3*p + 0*p + 0*p). -9*p Expand (4 - 3 + 2)*(1 - 3 + 1)*(-4*d - 2*d + 3*d). 9*d Expand (-3*s**3 + s**3 + 0*s**3)*(-3*s + 2*s - 2*s)*(-s + 2*s - 4*s). -18*s**5 Expand (-1 + 3 + 2)*(-3*l**3 + 2*l**3 - 2*l**3) + l - l + 4*l**3. -8*l**3 Expand (1 + 3 + 0)*(-v**3 - 3*v**3 + 13*v - 20*v). -16*v**3 - 28*v Expand -l**2 + 0 + 0 + (-3 + 2*l + 3)*(0*l - l - 2*l). -7*l**2 Expand (-l**4 - l**4 + 10*l**4)*(3*l - 5*l + l). -8*l**5 Expand 0*r**2 + 5*r**2 - 3*r**2 + (-r**2 - 4*r**2 + 6*r**2)*(1 - 3 + 1) + 4 - r**2 - 4 + (r + 2*r + 0*r)*(4*r + r - 3*r). 6*r**2 Expand (-3*a + 0*a + 2*a)*((1 - 2 + 3)*(5 - 2 - 2) + 3 + 1 - 5)*(5*a**2 - 5*a**2 + a**2). -a**3 Expand (-7 + 1 + 5*b**2 + 7)*(-1 + 0 + 2)*(-4 + 4 - 3*b). -15*b**3 - 3*b Expand m**3 - 4*m**3 + 2*m**3 + (-5*m + 3*m + 4*m)*(m + 2*m - 2*m)*(-m + m - m). -3*m**3 Expand 5*n**4 - 5*n**4 + 2*n**4 + (2 - 3 + 0)*(-4*n**4 + 3*n**4 + 2*n**4) + (n**3 + 0*n**3 + n**3)*(n - 2*n + 3 - 7). -n**4 - 8*n**3 Expand -4*z + 2*z + 3*z + (0 - 3 + 1)*(z + 4*z - 6*z) - 1 + 2*z + 1 + z - 4 + 4 + (-z + 5*z - 3*z)*(-1 + 3 + 0) + z + 0*z + z - z - z + z + z + 0*z - 4*z. 6*z Expand 6*j - 4*j - 4*j + (-2*j - j + j)*(2 - 1 + 0) + ((-2 - 1 + 2)*(2 + 1 - 2) - 2 + 1 + 3)*(0*j + 2*j + 0*j). -2*j Expand -4*h**2 + h**2 - 6*h**2 + (-3*h - 4*h + 5*h)*(0 + 0 - h). -7*h**2 Expand (4*y - 4*y + 3*y)*(0 + 0 + y) + 2*y**2 + 0*y + 0*y. 5*y**2 Expand (-2 + 2 - 2*o**3)*(-3*o**2 + 0*o**2 + 2*o**2) + 3*o + 2*o**5 - 3*o - 9*o**5 - 625*o**2 + 625*o**2 - 4*o. -5*o**5 - 4*o Expand ((-3 + 4 - 3)*(-1 + 1 - 1) - 1 + 0 + 0)*(-1 + 1 + 4*i). 4*i Expand 7 + 5*y - 7 + (3*y - 3*y - 3*y)*(-1 - 2 + 5). -y Expand (-2*m**2 - 1 + 1)*(4*m + 5*m - 2*m). -14*m**3 Expand 0*l**3 + 0*l**3 + 3*l**3 + 3*l**2 - 3*l**2 + l**3 - 2*l**3 - 4*l**3 + 5*l**3 + (-2 + 0 + 0)*(2*l**3 + 3*l**3 - 4*l**3). l**3 Expand (-v + 3*v + 0*v)*(-2 - 1 - 1) + 6*v - v - 3*v - 6*v + 2*v + 3*v. -7*v Expand (0*v**3 + 2*v**3 + 0*v**3)*(-16*v**2 + 7*v**2 - 17*v**2). -52*v**5 Expand (14*i + i - 2*i)*(0 + 4 - 3)*(3 - 7 + 2). -26*i Expand (2 - 2 + 2*k)*(k - 3 + 3) + k**2 + 4*k**2 - 4*k**2 + 4*k**2 + 5*k - 5*k. 7*k**2 Expand (3 - 3 + 2)*(-2*g - g + 4*g) + (2*g + g - g)*(-1 - 2 + 0). -4*g Expand (-u - 2*u + u + (0*u - 4*u + 2*u)*(-1 + 2 - 3))*(-6*u + 4*u - 7*u). -18*u**2 Expand (-4*u + 2*u + 3*u)*(-5*u**3 + u**3 + u**3) - 2*u**2 + 2*u**2 + 2*u**4. -u**4 Expand (17*j - 3 + 3)*(5 - 3 + 1)*(-5 - 2 + 5). -102*j Expand (-4*j - j + 3*j + (2 - 2 + 1)*(-2*j - 2*j + 2*j) + j - 3*j - 3*j)*(-j**2 + 0*j**2 + 0*j**2). 9*j**3 Expand (-4*t**4 - t**4 + 2*t**4)*(-1 + 4 + 3). -18*t**4 Expand (-3 + 3 - 3*y**3)*(4*y**2 - 3 + 2 - 8*y**2). 12*y**5 + 3*y**3 Expand (-3 + 1 + 1)*(w + 0*w + w)*(-2*w**2 - 2*w**2 + 6*w**2). -4*w**3 Expand (-2*m**4 + m**4 + 0*m**4)*(-4*m + 0*m - 3*m). 7*m**5
Let n = -13/7 + 73/28. Let a = -0.13 + -0.07. Let g = 0.6 + a. Put 0.5, n, g in decreasing order. n, 0.5, g Let m be (-80)/(-120) + 21/9. Put m, -9, 0, -1 in decreasing order. m, 0, -1, -9 Suppose 180 = -18*q + 54*q. Put q, -9, -2, -14 in descending order. q, -2, -9, -14 Suppose -2*k + 4*u + 14 = 0, 4*u = 2*k - 4*k + 30. Suppose -68*j = -80*j - 120. Let a be (2 + 1)*(k + j). Sort a, -1, -5 in decreasing order. a, -1, -5 Let b = -2747 - -13738/5. Suppose 2*d - 4*q = -24, 3*q - 21 = d - 5. Sort -3, d, 3/2, b in decreasing order. 3/2, b, -3, d Let a = 9 - 8. Let r(v) = a + 7 - 1 - v. Let w be r(9). Sort 0, 5, w. w, 0, 5 Let d(a) = -4*a. Let s be d(-1). Let r = 34 + -31. Let c = -7 + r. Sort c, -1, s in decreasing order. s, -1, c Let h(y) = -2*y + 7. Let w be h(5). Let i be ((-6 + 4)/(6/9))/((-22)/(-44)). Sort i, w, 1 in decreasing order. 1, w, i Let p = -307 - -304. Put 0, 1, 4, p in descending order. 4, 1, 0, p Let q(s) = s**2 - 14*s + 38. Let b be q(3). Put b, -3, 3 in increasing order. -3, 3, b Let l be (-2 - -1)*(-1)/(-1). Put 4, l, -159 in ascending order. -159, l, 4 Suppose -2*h + 5*h + 6 = -4*w, -7 = -2*h + w. Let d(y) = 2 + 4 + y**2 - 2*y**h - 5. Let m be d(2). Put 5, m, 4 in decreasing order. 5, 4, m Let v be 15/18 + (-1)/2. Let l = -6.4 - -6. Let d = 630 + -630. Sort v, l, d. l, d, v Suppose 6 = 3*a - a. Let l be (-16)/(-24) + (-2)/a. Let w = -200 + 199. Sort 1/4, l, w. w, l, 1/4 Let o be 10/(-40)*(-3 - 1). Suppose 0 = -4*l - 29 + 1. Sort l, o, -1 in descending order. o, -1, l Let n = 92 + -89. Sort -4, n, -3/7. -4, -3/7, n Let l be 112/40 + (-1)/(-5). Let z(o) = -o**2 + 3*o - 4. Let i be z(l). Let k(j) = j + 4. Let s be k(-3). Sort i, -2, s. i, -2, s Let j be (0 - -1) + 339/24. Let t = 57 + -72. Let z = j + t. Sort z, -1, -5 in ascending order. -5, -1, z Let n be 8/(-48) - 55/210. Let y = 58 + -101. Let u = y + 26. Put u, n, -5 in decreasing order. n, -5, u Suppose 15 = -2*r - r. Let y = -3 - -2. Put r, 3, y, -4 in descending order. 3, y, -4, r Let n(z) = 2*z**3 - 10*z**2 + 9*z + 5. Let b be n(3). Let t = -7 - -11. Sort 5, 0.6, t, b in descending order. 5, t, 0.6, b Let k = -3 + 12. Let m = k + -14. Sort m, -1, 2 in decreasing order. 2, -1, m Let a = -0.67 - -3.57. Let f = a - 3.3. Let j be ((-6)/15)/((-11)/5). Sort f, -1, j in decreasing order. j, f, -1 Suppose 105*g = 102*g. Sort 4, g, -2, 1 in ascending order. -2, g, 1, 4 Suppose -2570 + 2576 = -v, -5*q + 29 = -4*v. Let z(b) be the second derivative of b**3/3 + b. Let o be z(2). Sort o, 3, q in increasing order. q, 3, o Let g = 3/13 - 7/143. Let r = -15 + 11. Let x be r/6 + 3/(-9). Put x, -3, g in increasing order. -3, x, g Let p = -2.4 - -2.37. Let g = p - -0.43. Let k = g - 1.4. Put k, -0.3, -0.04 in decreasing order. -0.04, -0.3, k Let t = -201 + 200. Sort 3, -5, -2, t in decreasing order. 3, t, -2, -5 Let t(s) = s**2 - 4*s + 5. Let g be t(4). Suppose -w = -2*r - 3*w - 22, 0 = g*r + 2*w + 55. Sort 0, -5, r. r, -5, 0 Let f = 2288 - 2288. Sort 1.3, f, 0.02, -1/4. -1/4, f, 0.02, 1.3 Let c = 22.5 + -22.3. Let y be -1*3/18*-1. Put 0.1, y, c in descending order. c, y, 0.1 Suppose c - 2*c = 3*c. Let l = 5 + c. Sort l, 4, 3. 3, 4, l Let t = 0.17 - -9.83. Let u = t - -1. Let y = 11.2 - u. Sort y, 3/7, -0.1 in decreasing order. 3/7, y, -0.1 Let r(j) = -2*j - 18. Let a be r(-7). Suppose -4*f + 15 - 11 = 0. Sort f, -34, -3, a. -34, a, -3, f Suppose 6*c - 5*z + 139 = 187, -18 = 3*z. Let p = -0.06 + 2.06. Let a = -2.2 + p. Put c, a, 0.3 in increasing order. a, 0.3, c Let a = -175 - -171. Sort a, -3, -2/7, 1/6 in ascending order. a, -3, -2/7, 1/6 Let i = 9.1 + -9.47. Let a = -2.43 - i. Let g = a + 2. Put g, 2/9, -1/6 in decreasing order. 2/9, g, -1/6 Let m be (2 + 1)*2/3. Let n = -47 - -109. Let w = n - 62. Sort m, 5, w in ascending order. w, m, 5 Let s(b) = 4*b**3 + 18*b**2 + 7*b - 11. Let j be s(-4). Put j, -0.43, -4 in decreasing order. -0.43, -4, j Let f = -3.6 + 0.6. Put 0.02, f, 0.5 in descending order. 0.5, 0.02, f Let w = 10 - 6. Let i = 6 + -3. Put -10, 1, w, i in descending order. w, i, 1, -10 Let m = -1414/39 + 428/13. Put 1/9, m, 5, -0.3 in descending order. 5, 1/9, -0.3, m Let x be (38/133)/((3/(-42))/(-1)). Sort -1, -36, x, 0. -36, -1, 0, x Let f(i) = 6*i + 52. Let d be f(-15). Let y = d + 191/5. Sort 11/4, 5, y in descending order. 5, 11/4, y Let u = -3.11 + 2.1. Let i = 0.81 + u. Put -0.5, -5, 4, i in descending order. 4, i, -0.5, -5 Suppose 2*s + 21 = -35. Let y = s - -25. Sort -2/27, y, 0.3, -4 in descending order. 0.3, -2/27, y, -4 Let h(c) = 2*c**3 - 9*c**2 - 22*c + 79. Let g be h(5). Put 3, g, 2, -4 in increasing order. g, -4, 2, 3 Let p be (-2)/(-8)*(-32)/856. Let g = -209/535 + p. Put 1, 2/5, g, 4/7 in ascending order. g, 2/5, 4/7, 1 Let h be (-1)/(-1) + -2 - (-425)/(-85). Let r(i) = 4*i**3 + i**2 - i. Let n be r(1). Sort 5, 2, h, n. h, 2, n, 5 Let g = 208 - 208.4. Put 0.4, 1/8, g, -1/3 in decreasing order. 0.4, 1/8, -1/3, g Let o = -78 - -78.4. Put -11/4, o, 0.2 in ascending order. -11/4, 0.2, o Let h be 18300/(-427) - ((-8)/(-7) + -1). Sort -3, -2, 0, h in descending order. 0, -2, -3, h Let t be (2/6)/(-1 + 0). Let k = -426.2 + 426.3. Put t, k, 0.07, -3 in descending order. k, 0.07, t, -3 Let s = -118439/8 - -14848. Suppose -2*m - 8 = 0, -5*m + 195 = -5*w + 10*w. Let k = w - s. Sort -0.4, -1/2, k. -1/2, -0.4, k Suppose 0 = -3*b + b - 10. Let v = -186 + 53. Let h = v + 132.8. Sort b, h, 0 in increasing order. b, h, 0 Let w = 567 + -563. Put -5, 0, -4, w in increasing order. -5, -4, 0, w Let q be ((-3)/(-2) + -1)*2. Let j(m) = -8*m + 23. Let c be j(3). Let t be ((-13)/(-39))/(c*q). Sort -4, t, 5/4 in descending order. 5/4, t, -4 Suppose 3*m + 4*b + 442 = -2*m, 4*m + 2*b + 356 = 0. Let a = m + 90. Sort 2, a, 3, -3. -3, a, 2, 3 Let n = -551/7 + 79. Let f = 0.2 - 0.4. Let o = 3593 + -35929/10. Sort f, n, o in increasing order. f, o, n Let l = -3 + 8. Let p = -877 + 879. Sort 7, l, p in increasing order. p, l, 7 Let n be 8 + (-17)/((-34)/(-20)). Put n, 13, -5 in increasing order. -5, n, 13 Suppose 12*g - 10*g - 5 = l, g - 2*l = 10. Put 1, -2, -5, g in descending order. 1, g, -2, -5 Let f = 3/338 + -47/24336. Sort 4/5, 2/5, f. f, 2/5, 4/5 Let c(q) = -3*q**2 - 25*q - 38. Let t be c(-10). Put -2, t, -4 in decreasing order. -2, -4, t Let o be 18/45*1*2/34. Sort 0.3, o, -10/7 in ascending order. -10/7, o, 0.3 Let h = -15 - -15.26. Let n = 47 + -48.74. Let v = h - n. Sort 5, -2/9, v in decreasing order. 5, v, -2/9 Let c be (-4)/14 - 222/(-42). Let i = -4 + c. Let v = 1.2 + -1. Sort 3, v, i in descending order. 3, i, v Let d = -11 + 30. Let a = 19 - d. Let c = 0.3 - a. Sort c, 3, -5. -5, c, 3 Let f be (-8)/(-20) + (-23)/(-5). Let p be (-1)/(f/(-15)) + -21. Let n be (15/p)/(-12 - -7). Put n, -1, 4 in ascending order. -1, n, 4 Let w be (7 - (-205)/(-30))/((-2)/(-9)). Let b = 10 - 7. Put -4, b, w in ascending order. -4, w, b Let n be (-51)/(-68)*4/(-6)*-2. Sort n, -6, -1 in ascending order. -6, -1, n Let a be (-100)/(-40) - 11/6. Suppose -36 = 4*w - w. Sort -0.5, w, a. w, -0.5, a Let u be 33/(-9) + (-2)/(-3). Let m be (-78)/(-14) - ((-96)/28 + 4). Put u, m, -2/5 in increasing order. u, -2/5, m Suppose -2*p + 2 = -8. Suppose 0 = -5*v - 33 + 58. Suppose -o = -v*o + 8. Put p, o, 4 in decreasing order. p, 4, o Suppose 0 = -0*c - 4*c - 4. Let j = 0.55 + -0.54. Let y = j - 4.01. Put y, c, -0.5 in descending order. -0.5, c, y Let x = 349 - 354. Sort 1, 12, x, 0 in increasing order. x, 0, 1, 12 Suppose -n - 5*u = -50, -n - u + 59 = u. Let b = n + -54. Sort 0, 2, b in decreasing order. b, 2, 0 Suppose -y - y + 5*d + 23 = 0, -4*d = -3*y + 31. Sort y, -2, -3, -4. -4, -3, -2, y Let f be 1/8*2/(-1). Suppose l = 4*y - 6, -2*l + 3*y - y - 6 = 0. Let p be (3 - (2 - l))/(-8). Put f, -1, p in ascending order. -1, f, p Let c = 29 - 15. Sort 3, -3, c, 2 in ascending order. -3, 2, 3, c Let p(y) = -y**2 + 15*y - 29. Let h be p(12). Suppose h + 7 = -7*q. Sort q, 0.1, -0.5, -0.2. q, -0.5, -0.2, 0.1 Let n(g) = 2*g**3 + 4*g**2 + 2*g - 2. Let l be n(-2). Suppose 0 = 72*a - 74*a + 8. Put -5, a, l in descending order. a, -5, l Let s be (-3 - -2)/(-1 - -5). Let k = -43 - -66. Let r = k + -25. Put s, r, -2/3 in decreasing order. s, -2/3, r Let n = -7 - 14. Let j = n - -23. Put j, 0.2, 4 in increasing order. 0.2, j, 4 Suppose 0 = 2*g - 5*g - 4*i + 28, 0 = 5*g + i - 24. Let v(q) = -q**2 - 2*q + 3. Let r be v(2). Let b = -63 + 59. Put r, b, g in decreasing order. g, b, r Let w = 2.133 + -1.133. Put 2/9, w, 40 in descending order. 40, w, 2/9
Round -18981.74288 to the nearest integer. -18982 Round 1833968.0132 to the nearest ten. 1833970 Round 0.98525044 to three decimal places. 0.985 What is 1133.718199 rounded to zero dps? 1134 Round 0.00002034847104 to five dps. 0.00002 What is 0.46840131 rounded to 2 decimal places? 0.47 What is -14859422.1 rounded to the nearest 100000? -14900000 What is 0.000046830496 rounded to 7 dps? 0.0000468 Round -36301995.4 to the nearest one million. -36000000 What is 1219126.0807 rounded to the nearest one hundred? 1219100 Round 429792.028 to the nearest ten thousand. 430000 What is -0.0005762110836 rounded to six dps? -0.000576 What is 0.248808512 rounded to three dps? 0.249 Round -43344.06363 to the nearest integer. -43344 What is -2136.9979428 rounded to the nearest ten? -2140 Round -0.6842925016 to 2 dps. -0.68 What is -1989984.03 rounded to the nearest one hundred thousand? -2000000 What is -4186405250 rounded to the nearest 1000000? -4186000000 Round -613296.552 to the nearest 100. -613300 Round -4.136057265 to two dps. -4.14 What is -1591.123 rounded to the nearest 100? -1600 What is -0.0401347274 rounded to 5 decimal places? -0.04013 Round -8.49725098 to the nearest integer. -8 What is -7517.8587 rounded to the nearest 10? -7520 What is -1.771385181 rounded to 2 decimal places? -1.77 What is 160.080465 rounded to two dps? 160.08 What is 0.03403678469 rounded to two dps? 0.03 What is 109383.60498 rounded to the nearest 1000? 109000 What is 31.3874343 rounded to the nearest 10? 30 Round -0.0000058501354 to 6 decimal places. -0.000006 What is -0.004676666624 rounded to six decimal places? -0.004677 What is -0.00395906474 rounded to six dps? -0.003959 Round -2480.16818 to the nearest integer. -2480 What is 0.00000782784485 rounded to 6 decimal places? 0.000008 Round 1737.31339 to the nearest integer. 1737 Round -3504203570 to the nearest one hundred thousand. -3504200000 What is 267.2163 rounded to the nearest 1000? 0 Round 0.00622680117 to three dps. 0.006 Round 2.9303646605 to four dps. 2.9304 What is -3351.52034 rounded to one decimal place? -3351.5 Round -0.615019623 to two dps. -0.62 Round -133944920 to the nearest 1000000. -134000000 Round -108443990 to the nearest 1000000. -108000000 Round -0.0394710647 to 5 dps. -0.03947 Round 0.1266528702 to five dps. 0.12665 What is 0.4081777 rounded to two decimal places? 0.41 What is -0.06542342655 rounded to three dps? -0.065 Round 4670.66884 to the nearest integer. 4671 Round 0.0218121518 to three dps. 0.022 What is 59587354 rounded to the nearest one million? 60000000 Round 1128.515746 to the nearest integer. 1129 Round 231587.2921 to the nearest one hundred. 231600 Round 0.32772848 to two decimal places. 0.33 What is -0.84227473 rounded to the nearest integer? -1 Round 0.10013510294 to five dps. 0.10014 Round 836968.7048 to the nearest 10000. 840000 What is -0.00004824665 rounded to seven dps? -0.0000482 Round 0.00001488274798 to 6 decimal places. 0.000015 What is -10.02366653 rounded to 4 dps? -10.0237 What is -351200.65 rounded to the nearest ten thousand? -350000 Round 0.543979541 to two decimal places. 0.54 What is -2331469.87 rounded to the nearest one hundred thousand? -2300000 What is -1281762.6 rounded to the nearest one hundred thousand? -1300000 Round -0.0000001006138 to seven decimal places. -0.0000001 Round 728082.042 to the nearest 1000000. 1000000 What is -133.22286 rounded to 0 decimal places? -133 Round 1322.47291 to the nearest ten. 1320 What is -8.536357029 rounded to 4 decimal places? -8.5364 Round 0.00295780679 to seven decimal places. 0.0029578 What is -2242032870 rounded to the nearest 1000000? -2242000000 Round 15245062.9 to the nearest 10000. 15250000 Round 576.320733 to the nearest one hundred. 600 Round -0.04247348935 to three dps. -0.042 Round -289563717 to the nearest ten thousand. -289560000 Round 10.946068322 to 0 decimal places. 11 What is -0.00197548511 rounded to 6 decimal places? -0.001975 Round -9869696.267 to the nearest one hundred. -9869700 Round 655.16921 to zero dps. 655 Round 0.217294 to 2 dps. 0.22 Round -824.08878 to the nearest 10. -820 Round -591054645 to the nearest 1000000. -591000000 What is -33715.86926 rounded to the nearest ten? -33720 What is 15434.911 rounded to the nearest ten thousand? 20000 What is -13483771.7 rounded to the nearest 10000? -13480000 Round 69263105.3 to the nearest 100000. 69300000 Round 45.04846317 to 2 decimal places. 45.05 What is 0.000220476018 rounded to 7 decimal places? 0.0002205 What is 775674700 rounded to the nearest 1000000? 776000000 What is -0.0000433424987 rounded to seven decimal places? -0.0000433 Round -2110.718697 to the nearest ten. -2110 Round 5650975.539 to the nearest one hundred thousand. 5700000 What is -0.0000474602205 rounded to seven dps? -0.0000475 What is 1.45323537 rounded to one dp? 1.5 Round -36.53144186 to 0 dps. -37 Round -84893.068 to the nearest 1000. -85000 Round -1.636922727 to 4 decimal places. -1.6369 What is -0.00000166160192 rounded to six decimal places? -0.000002 What is -150.181963 rounded to 1 decimal place? -150.2 What is -6.5860081 rounded to 3 dps? -6.586 What is 2.34513831 rounded to three dps? 2.345 What is 0.0002639101 rounded to six decimal places? 0.000264 Round -5369.729346 to the nearest ten. -5370 Round 1267590.457 to the nearest one hundred. 1267600 Round -160030.8866 to the nearest 10000. -160000 Round 0.43302821 to 4 decimal places. 0.433 What is -0.003544471052 rounded to 6 dps? -0.003544 Round 0.001292192224 to five decimal places. 0.00129 Round 12724651.634 to the nearest 100000. 12700000 What is 15191.7373 rounded to the nearest ten? 15190 Round 0.0403958488 to three dps. 0.04 Round 3378352.238 to the nearest 1000000. 3000000 What is 17076978.92 rounded to the nearest one million? 17000000 Round -2.094951573 to 3 decimal places. -2.095 What is 1513.7625 rounded to the nearest ten? 1510 What is -5036597.2 rounded to the nearest one thousand? -5037000 Round 51.8527849 to the nearest 10. 50 What is -0.651909699 rounded to one dp? -0.7 What is 442231.22 rounded to the nearest 1000? 442000 What is -3224755.4 rounded to the nearest 1000? -3225000 Round 20098024500 to the nearest one million. 20098000000 Round 0.0000033881636 to seven decimal places. 0.0000034 Round 315277625 to the nearest one hundred thousand. 315300000 Round 3899.24466 to the nearest ten. 3900 What is -1613462 rounded to the nearest 10000? -1610000 Round -0.000615319191 to six dps. -0.000615 What is -3283.2156 rounded to 0 dps? -3283 What is -3.542869686 rounded to two decimal places? -3.54 Round -165825017 to the nearest 1000000. -166000000 What is -40461.78561 rounded to the nearest one hundred? -40500 Round 950268989.6 to the nearest one million. 950000000 What is 0.22372347 rounded to five dps? 0.22372 What is 0.06142501155 rounded to two dps? 0.06 What is -0.1084558778 rounded to 3 dps? -0.108 Round 245022.60772 to 0 dps. 245023 Round -18422065.7 to the nearest 1000000. -18000000 Round -9515850490 to the nearest 100000. -9515900000 Round 0.0619874687 to six decimal places. 0.061987 What is 2414.27038 rounded to the nearest one hundred? 2400 What is -5.1987485 rounded to 1 dp? -5.2 What is -3552065.314 rounded to the nearest 100? -3552100 Round -29653.66531 to one decimal place. -29653.7 What is 1120730.0394 rounded to the nearest ten? 1120730 Round 891.707985 to one dp. 891.7 What is -6813.42079 rounded to the nearest 1000? -7000 What is -1514.932428 rounded to the nearest one hundred? -1500 Round 0.013685283 to four decimal places. 0.0137 What is -0.0016216382 rounded to six dps? -0.001622 What is -0.01684898281 rounded to 6 decimal places? -0.016849 Round 0.0453706387 to 3 decimal places. 0.045 What is -0.0007894477974 rounded to 7 decimal places? -0.0007894 Round -409306.93 to the nearest one thousand. -409000 Round 0.0232064632 to 3 decimal places. 0.023 What is 0.0159107747 rounded to 6 dps? 0.015911 Round 57.87533794 to the nearest 10. 60 Round -41.24049 to one dp. -41.2 What is -2961.232652 rounded to the nearest integer? -2961 Round 53407559.58 to the nearest one million. 53000000 What is -66.220686 rounded to the nearest ten? -70 What is -0.0000690847345 rounded to 5 dps? -0.00007 Round -391275 to the nearest 1000000. 0 Round 0.000000995785183 to 7 dps. 0.000001 Round -2.27448941 to the nearest integer. -2 What is 0.0000198875679 rounded to seven decimal places? 0.0000199 What is -9734.85895 rounded to the nearest integer? -9735 Round -5337.61226 to the nearest ten. -5340 What is -8396669.99 rounded to the nearest 1000000? -8000000
Let t = -6 + 47. Suppose t = -5*n - 0*h + 3*h, 24 = -4*n - 2*h. Let a = n + 6. Let m(j) = -12*j - 1. Give m(a). 11 Let b = -12 - -12. Let l(k) = -11*k - 11. Let w(y) = 4*y + 4. Let u(v) = 3*l(v) + 8*w(v). Give u(b). -1 Let t(a) = -4*a - 6. Let b(z) = -7*z - 11. Let d(o) = 6*b(o) - 11*t(o). What is d(-2)? -4 Let d(n) = -n**3 + 2*n**2 + 2*n - 2. Suppose 2*j - 2*p - 6 = -0*j, 2*j = -4*p. Determine d(j). 2 Let v(t) = t**3 - 7*t**2 - 5*t + 6. Let x(l) = -12 - 3*l - 11*l - 11*l**2 + 2*l**3 - 9*l**2 + 29. Let u(q) = -17*v(q) + 6*x(q). What is u(1)? -5 Let a(d) = -3*d**2 - 11*d - 9. Let x(b) = -4*b**2 - 12*b - 9. Let m(k) = -3*a(k) + 2*x(k). What is m(-6)? -9 Let m(f) = -f**3 - 4*f**2 - 5*f. Let o be m(-3). Let g(x) = x**3 - 7*x**2 + 6*x + 4. Give g(o). 4 Suppose 4*w + 5 = 5*a - 34, 4*a = -5*w - 18. Let y(c) be the second derivative of -c**5/20 - 7*c**4/12 - 7*c**3/6 + c. What is y(w)? 6 Let j(w) = 0*w - w**2 + 3*w + 1 - 4*w - 2*w**3. Let k be (-128)/20 + 4/10. Let o be (-2)/4 - 9/k. Determine j(o). -3 Let d(f) = -2*f. Let g(k) = -k - 8. Let b be g(-6). Let t = 0 - b. Calculate d(t). -4 Suppose 9 - 14 = 5*z. Let u(q) = 7*q**2 + 1. Give u(z). 8 Let s(q) be the first derivative of q**2/2 - 1. Suppose 4*l = -3*x + 26, -4*l = -x + l - 4. Determine s(x). 6 Suppose 0 = -2*p + f, -7 = -3*p - 5*f + 3*f. Let d(i) = i + 1. Determine d(p). 2 Let x be (-1*1*1)/(-1). Let z(y) = x - 3*y + 8*y + y**2 + 0*y**2. Suppose -45 = 5*c - 4*j, 2*c + 0*c + 25 = 3*j. What is z(c)? 1 Suppose 2*c - 2*b - 9 + 3 = 0, 3*b = -c - 1. Let x = c - -1. Let v(j) = 2*j**2 - x*j**3 + j + 9 - 9. What is v(-1)? 4 Let f(v) = v**3 - v - 1. Let m be f(-1). Let b(c) be the second derivative of -c**5/10 - c**4/6 - c**3/3 - c**2/2 - c. Determine b(m). 1 Suppose 19*g - 20*g = -3. Let d(y) be the second derivative of 1/3*y**g + 2*y**2 + 3*y + 0. Give d(-3). -2 Let x(f) = -f**3 - f**2 + 3*f + 1. Suppose c + 5 = -0*c + 3*j, -3*j + 3 = 0. Calculate x(c). -1 Suppose -6*o = -3*o - 9. Let n(f) = -8*f - 1 - 2*f**2 + 19*f - 4*f**2 - 7*f + 4*f**2. Calculate n(o). -7 Suppose 6*s - 15 = 3*s. Suppose -6 = -s*x - 41. Let c be x - -10 - -1*2. Let r(l) = -l - 1. Calculate r(c). -6 Suppose 0 = -2*q - r + 7, 2*q - r = -1 + 6. Let x(o) = q*o - 4 + 0 - 2*o - 4. Give x(6). -2 Suppose -4*d - d - 2*o + 6 = 0, -3*d + 16 = -5*o. Suppose 2*y + 4 - d = 0. Let q(x) = -9*x + 1. Give q(y). 10 Let a(d) = d**2 + d + 2. Suppose 0*i - 5*i + 20 = 0. Suppose j + 6 = i. Calculate a(j). 4 Let c(i) = 7*i**2 - 3*i + 9. Let o(f) = 1 + 1 + 0*f**2 - 4*f**2 + f - 7. Let a(s) = -3*c(s) - 5*o(s). Let r be a(4). Let p(z) = -z**2 - z - 2. What is p(r)? -4 Let z(h) be the third derivative of -h**7/2520 + h**5/120 + h**4/12 - 7*h**2. Let n(t) be the second derivative of z(t). Give n(3). -8 Let q(c) = c**3 - 5*c**2 + 5*c. Let n be q(4). Let k be 1/4 + 31/n. Suppose 2*r + k*i - 3*i = -18, -r - 3*i - 10 = 0. Let l(m) = m**2 + m - 4. Determine l(r). 8 Suppose 0*w = 2*w - 10. Let b(o) = o**3 - 6*o**2 + 7*o - 4. Calculate b(w). 6 Let j(v) be the second derivative of 0 + 5/6*v**3 - 1/12*v**4 - 5/2*v**2 + 2*v. Let u = -8 + 13. Give j(u). -5 Let i(c) = c**3 + 5*c**2 - 3*c + 8. Let o = -20 + 14. Calculate i(o). -10 Let p(h) be the third derivative of h**4/12 + 4*h**3/3 - 13*h**2. Give p(-6). -4 Let d(n) = -n - 2. Suppose m = -3*k - 3 + 2, 10 = -2*k + 4*m. Let f = 3 + k. Give d(f). -4 Let b(w) = 2*w + 9. Let n = -13 + 7. Give b(n). -3 Let q be (-6)/9*(-6)/(-4). Let i be 1*(2 + (q - -2)). Let d(u) = -6*u - i*u**2 + 1 + u**2 + u**2. Determine d(-5). 6 Let l(q) = 3*q - q - 2*q + 3*q - 8. Let z be ((-18)/(-4))/((-6)/(-8)). Give l(z). 10 Suppose 13*u = 5*u - 56. Let w(h) = h + 12. What is w(u)? 5 Let x(u) = -u - 3. Let t be x(-5). Let p(f) = -3*f - t*f + f - 2*f. Determine p(1). -6 Let m(t) = 13 + 6*t**3 + 5 - 11*t**2 - 3 - 5*t**3 - t. What is m(11)? 4 Let k be (-5)/7 - (-6)/(-21). Let w(i) = i**2 - i. Let c(u) = 4 + 4*u**2 - 1 - 2 + 2*u. Let o(p) = -c(p) - w(p). Determine o(k). -5 Let n = 4 + -2. Let h(d) = -n*d + 3*d - 6 - 2*d**2 + 3*d**2. What is h(0)? -6 Let c = -10 - -16. Let q(i) = -1. Suppose 5 = 5*l - 0*l. Let u(r) = -3*r + 2. Let h(a) = c*q(a) + l*u(a). What is h(-4)? 8 Let d = -4 - 5. Let g(j) = -j - 9. Let m be g(d). Suppose q - 2*q - 3 = m. Let f(b) = b**2 + 5*b + 2. Calculate f(q). -4 Let p(w) = 6*w**2 + w. Let q be p(-1). Let v(h) = -h**3 + 0*h**3 + 2 - 3. Let m(o) = -o**3 - 4*o**2 - 5*o. Let i(f) = -m(f) + 2*v(f). Calculate i(q). -2 Let a be (-2)/(-4)*(1 + 3). Let n(b) = 8*b - b**a + 3*b**2 - 2*b**2 - 5*b**2 + 9 - b**3. Suppose -4*v - 30 = 5*g, -6*g - v = -2*g + 24. What is n(g)? -3 Let o(l) = l**3 + 4*l**2 + 5*l + 2. Suppose 9 = -3*h - 0. What is o(h)? -4 Let f(y) = -y**2 - 1 - 13 + 3. What is f(0)? -11 Let o(c) = 6*c**2 + c + 2. Let y(i) = -i**2 - 1. Let g(x) = -o(x) - 4*y(x). Let p(d) = -d**2 + 8*d - 4. Let n be p(4). Suppose -l - 5*l - n = 0. Calculate g(l). -4 Let y be (5/10)/((-1)/10). Let k = -2 - y. Suppose 0 = 3*o - 6*u + 5*u + k, -5*o - 5 = -3*u. Let r(c) = -8*c. Determine r(o). 8 Let b(u) = 2*u**2 - 4*u - 7. Let v(i) = i**2 - 5*i - 6. Let r(q) = 2*b(q) - 3*v(q). Suppose 11 = l - 9. Suppose 8 - l = 4*o. Give r(o). -8 Let y be (-1)/1*(13 - 2). Suppose 0 = -s - 5*t - 6, 0 = -3*s - 0*s - t - 32. Let l be (-3 + -1)/(s/y). Let u(c) = -c - 5. Calculate u(l). -1 Let b(d) = d - 8. Let t be b(12). Suppose -l + t = l. Let x(v) = -1 + 1 - 3 - v + l. Determine x(2). -3 Let n be 5 - 2 - 2/(-2). Let s(z) = 3 - n + 2 - z. Determine s(-6). 7 Let w(t) = -40*t + 2*t**2 - 3*t**2 + 33*t. Give w(-6). 6 Suppose 4*s = s + 3. Let p(j) be the second derivative of -3*j**6/40 + j**5/60 - j**3/6 + 2*j**2 - 2*j. Let r(c) be the first derivative of p(c). Give r(s). -9 Let a(n) = 7 + n**3 - 2 - n**2 + 0 + n + 5*n**2. What is a(-4)? 1 Let z(l) = -l**3 - 12*l**2 + 13*l + 3. Let w be z(-13). Let b = -1 + w. Let h(a) = 2 - 4 - b*a + a. Calculate h(-4). 2 Let u(j) = 2*j**2 - 3*j - 2. Let t = 6 + -2. Let q be t/14 - 214/14. Let a be (18/q)/((-4)/10). Give u(a). 7 Let d(u) = -u**2 - 5*u. Let w be d(-5). Let g(h) = -h**2 + h - 4. Let f be g(w). Let z(x) be the second derivative of -x**3/6 + 2*x. What is z(f)? 4 Suppose 4*r + 4*u = -16, -4 = -5*r - 2*u - 27. Let s(a) = a**3 + 4*a**2 - 4*a + 4. Determine s(r). -1 Let u(s) = s**2 - 4*s - 1. Let d = -16 - -21. What is u(d)? 4 Let w(v) = v**3 - v - 5. Let k = -5 + 5. Suppose k = -3*q - q. Suppose 5*y + 10 = q, -5*b + 3*y + 4 = y. Calculate w(b). -5 Suppose -4*a - 25 = a. Let u(f) = 30*f + 0 - 31*f - 4. Give u(a). 1 Let x(s) = 3*s**3 - 2*s**2 + 3*s - 6. Let d(o) = -3*o**3 - o + 2*o**2 - 6 - o**2 + 5 + 2*o**3. Let r(i) = -2*d(i) - x(i). Give r(0). 8 Let b(c) be the first derivative of 2*c**3/3 - 2*c**2 + 2*c + 2. Let m be b(2). Let t(r) = -r**3 + 2*r**2 - r - 1. What is t(m)? -3 Suppose -2*w + 7 = -1. Let q(m) = -2*m**2 + 5*m - 1. Let i(p) = 2*p**2 - 5*p. Let a(x) = -5*i(x) - 4*q(x). What is a(w)? -8 Let u(s) = -5*s**3 + 0*s**2 + s**2 - s**3 + 0*s**2. Let b be -2 - -1 - 6*2/(-6). Give u(b). -5 Let x(z) = 11*z + 14. Let y(a) = 6*a + 7. Let o(w) = -4*x(w) + 7*y(w). Give o(-6). 5 Suppose -a + 0*a + 4 = 0. Let k(g) be the third derivative of -g**4/12 + 3*g**3/2 - g**2. Let n(o) = -2*o + 10. Let t(m) = 4*k(m) - 3*n(m). Determine t(a). -2 Let m(q) be the second derivative of -q**4/12 - 5*q**3/6 + 4*q**2 - q. Let a be m(-6). Let u(o) = a*o - 2 + o**3 + 5 + 3*o**2 + 0*o. Give u(-2). 3 Let u(x) = -3*x + x**2 + 9*x - 31 + 33. Give u(-7). 9 Let f(w) = w**2 - 4*w - 6. Let c = 24 - 24. Suppose c = -3*l + 19 - 4. Calculate f(l). -1 Let p(s) be the third derivative of s**4/12 + 25*s**3/6 + 2*s**2. Let d = -5 + 16. Let b(n) = n + 13. Let o(q) = d*b(q) - 6*p(q). What is o(-6)? -1 Let u(r) = -r**3 - 4*r**2 - r - 1. Let g be u(-4). Suppose 8*f - 2*v = 3*f - 40, 4*v = -g*f + 2. Let a(j) = j + 3. What is a(f)? -3 Let v be (-2)/(-4) - (-9)/(-2). Let o be 30/(-20) + 9/2. Let h(b) = o*b - 9 - 4*b + 0*b. Calculate h(v). -5 Let l be ((-87)/24 + 4)/9. Let u(d) be the third derivative of -1/6*d**3 + 1/12*d**5 + 1/120*d**6 - 2*d**2 + 0*d - l*d**4 + 0. Give u(-5). 4 Let z = 19 - 17. Let f(u) = -2*u**2 - 3*u**2 + 7*u**z - 2. What is f(-2)? 6 Let g(n) be the third derivative of 1/60*n**5 + 0*n + 0 + 0*n**3 - 1/12*n**4 + n**2. Determine g(3). 3 Let t(y) = 2*y**2 - 2*y + 4. Let s(w) = -4*w**2 + 3*w - 9. Let u(g) = -2*s(g) - 5*t(g). Let q(h) = -h - 5. Let p be q(-7). Calculate u(p). -2 Let v(x) be the second derivative of 3*x**5/20 - 7*x**4/12 + x**3/2 - 9*x**2/2 - 3*x. Let j(h) = -h**3 + h**2 + 1. Let y(w) = -4*j(w) - v(w). What is y(-4)? 1
What is the s'th term of 17, 35, 57, 77, 89? -s**3 + 8*s**2 + s + 9 What is the s'th term of -445, -446, -445, -442? s**2 - 4*s - 442 What is the p'th term of -1295, -2609, -3943, -5303, -6695, -8125? -p**3 - 4*p**2 - 1295*p + 5 What is the v'th term of 256, 511, 766? 255*v + 1 What is the g'th term of 3, 17, 35, 57, 83? 2*g**2 + 8*g - 7 What is the i'th term of -288, -1158, -2608, -4638, -7248, -10438? -290*i**2 + 2 What is the l'th term of -2, -55, -118, -197, -298? -l**3 + l**2 - 49*l + 47 What is the t'th term of 5, 7, 13, 23, 37, 55, 77? 2*t**2 - 4*t + 7 What is the k'th term of 5, 40, 97, 170, 253, 340, 425, 502? -k**3 + 17*k**2 - 9*k - 2 What is the r'th term of -200, -186, -154, -98, -12, 110? r**3 + 3*r**2 - 2*r - 202 What is the a'th term of 1118, 1140, 1162, 1184, 1206, 1228? 22*a + 1096 What is the j'th term of 11, 19, 27, 35, 43? 8*j + 3 What is the i'th term of 0, -20, -56, -108, -176? -8*i**2 + 4*i + 4 What is the r'th term of 52, 29, 6, -17? -23*r + 75 What is the k'th term of 85147, 85146, 85145? -k + 85148 What is the h'th term of 4, -4, -12, -20, -28? -8*h + 12 What is the s'th term of -505, -507, -509, -511? -2*s - 503 What is the s'th term of 295, 630, 979, 1348, 1743, 2170, 2635? s**3 + s**2 + 325*s - 32 What is the y'th term of -1947, -1948, -1949, -1950? -y - 1946 What is the i'th term of 7, 9, 13, 19, 27, 37, 49? i**2 - i + 7 What is the b'th term of -21, -38, -51, -60, -65, -66, -63? 2*b**2 - 23*b What is the a'th term of -241, -252, -277, -322, -393? -a**3 - a**2 - a - 238 What is the c'th term of -87, -91, -97, -105, -115, -127? -c**2 - c - 85 What is the t'th term of -89, -190, -293, -398, -505? -t**2 - 98*t + 10 What is the v'th term of -41, -150, -331, -584? -36*v**2 - v - 4 What is the f'th term of -98, -178, -242, -290, -322? 8*f**2 - 104*f - 2 What is the h'th term of -13, -12, 9, 62, 159, 312, 533, 834? 2*h**3 - 2*h**2 - 7*h - 6 What is the f'th term of 3, 8, 13, 18, 23? 5*f - 2 What is the y'th term of -33, 24, 81? 57*y - 90 What is the l'th term of -245, -476, -693, -896, -1085? 7*l**2 - 252*l What is the r'th term of -111, -224, -339, -456? -r**2 - 110*r What is the s'th term of -137, -302, -495, -722, -989? -s**3 - 8*s**2 - 134*s + 6 What is the v'th term of -323, -296, -267, -236, -203, -168, -131? v**2 + 24*v - 348 What is the k'th term of -10, -18, -24, -22, -6, 30? k**3 - 5*k**2 - 6 What is the q'th term of 113, 467, 1057, 1883, 2945, 4243, 5777? 118*q**2 - 5 What is the x'th term of 9980, 9976, 9970, 9962, 9952, 9940, 9926? -x**2 - x + 9982 What is the x'th term of -24582, -24578, -24572, -24564, -24554, -24542? x**2 + x - 24584 What is the u'th term of -63, -135, -207, -279, -351, -423? -72*u + 9 What is the n'th term of 35, 65, 79, 71, 35? -n**3 - 2*n**2 + 43*n - 5 What is the r'th term of 643, 1275, 1907, 2539, 3171, 3803? 632*r + 11 What is the m'th term of -32, -39, -46? -7*m - 25 What is the u'th term of 23, 40, 53, 62, 67, 68, 65? -2*u**2 + 23*u + 2 What is the j'th term of 31, 49, 67, 85, 103? 18*j + 13 What is the w'th term of 25, 36, 55, 82, 117, 160? 4*w**2 - w + 22 What is the x'th term of 14, 12, 10? -2*x + 16 What is the t'th term of -404, -825, -1246, -1667, -2088, -2509? -421*t + 17 What is the v'th term of -174, -680, -1520, -2694? -167*v**2 - 5*v - 2 What is the h'th term of 78, 80, 80, 78, 74, 68? -h**2 + 5*h + 74 What is the x'th term of 5, -1, -3, 11, 53, 135? 2*x**3 - 10*x**2 + 10*x + 3 What is the w'th term of -30, -35, -54, -93, -158, -255? -w**3 - w**2 + 5*w - 33 What is the u'th term of -19, -47, -87, -139, -203, -279, -367? -6*u**2 - 10*u - 3 What is the g'th term of -3286, -3287, -3288, -3289, -3290? -g - 3285 What is the m'th term of -256, -247, -236, -223, -208, -191? m**2 + 6*m - 263 What is the b'th term of 808, 795, 774, 745, 708, 663? -4*b**2 - b + 813 What is the a'th term of 5562, 5563, 5564? a + 5561 What is the b'th term of 492, 983, 1460, 1917, 2348, 2747? -b**3 - b**2 + 501*b - 7 What is the i'th term of -10, -10, -12, -16? -i**2 + 3*i - 12 What is the j'th term of 165, 319, 471, 621, 769, 915, 1059? -j**2 + 157*j + 9 What is the g'th term of -123, -251, -381, -513, -647? -g**2 - 125*g + 3 What is the h'th term of 144, 256, 370, 486? h**2 + 109*h + 34 What is the g'th term of -5, -24, -59, -116, -201, -320, -479, -684? -g**3 - 2*g**2 - 6*g + 4 What is the u'th term of -183, -381, -579? -198*u + 15 What is the h'th term of 74, 295, 662, 1175, 1834? 73*h**2 + 2*h - 1 What is the t'th term of -4259, -4247, -4219, -4169, -4091? t**3 + 2*t**2 - t - 4261 What is the v'th term of -818, -820, -822, -824, -826, -828? -2*v - 816 What is the x'th term of 513, 507, 491, 459, 405, 323, 207, 51? -x**3 + x**2 - 2*x + 515 What is the r'th term of 1665, 1659, 1651, 1641? -r**2 - 3*r + 1669 What is the s'th term of -26, -38, -52, -68? -s**2 - 9*s - 16 What is the d'th term of 47, 98, 149? 51*d - 4 What is the n'th term of -15, -40, -65, -90? -25*n + 10 What is the k'th term of 440, 441, 442? k + 439 What is the z'th term of 71, 81, 91, 101, 111, 121? 10*z + 61 What is the c'th term of -6, -1, 6, 15? c**2 + 2*c - 9 What is the c'th term of -20, -46, -92, -164, -268, -410? -c**3 - 4*c**2 - 7*c - 8 What is the b'th term of -203, -414, -623, -830, -1035, -1238, -1439? b**2 - 214*b + 10 What is the w'th term of 8, 9, 12, 17, 24, 33, 44? w**2 - 2*w + 9 What is the n'th term of -4, -11, -14, -7, 16, 61, 134, 241? n**3 - 4*n**2 - 2*n + 1 What is the v'th term of -948, -1898, -2848, -3798, -4748? -950*v + 2 What is the h'th term of -34, -166, -524, -1222, -2374? -19*h**3 + h**2 - 2*h - 14 What is the i'th term of -10, -29, -54, -85? -3*i**2 - 10*i + 3 What is the f'th term of 101, 199, 293, 383, 469? -2*f**2 + 104*f - 1 What is the r'th term of -6, 4, 24, 60, 118? r**3 - r**2 + 6*r - 12 What is the s'th term of 972, 1946, 2920, 3894, 4868? 974*s - 2 What is the d'th term of -2119, -8485, -19095, -33949? -2122*d**2 + 3 What is the y'th term of 1779, 1780, 1781, 1782, 1783, 1784? y + 1778 What is the g'th term of -17, -5, 43, 151, 343? 4*g**3 - 6*g**2 + 2*g - 17 What is the z'th term of -3378, -3379, -3380? -z - 3377 What is the q'th term of 41, 112, 229, 392, 601, 856? 23*q**2 + 2*q + 16 What is the s'th term of 103, 417, 941, 1675, 2619, 3773, 5137? 105*s**2 - s - 1 What is the u'th term of -19, -12, 3, 32, 81, 156, 263? u**3 - 2*u**2 + 6*u - 24 What is the d'th term of -42, -72, -102, -132, -162? -30*d - 12 What is the q'th term of -176, -131, -4, 247, 664? 7*q**3 - q**2 - q - 181 What is the r'th term of -17, -101, -261, -509, -857, -1317, -1901? -2*r**3 - 26*r**2 + 8*r + 3 What is the s'th term of 25, 93, 209, 373, 585, 845, 1153? 24*s**2 - 4*s + 5 What is the x'th term of 530, 1066, 1602, 2138, 2674, 3210? 536*x - 6 What is the u'th term of 157, 302, 419, 496, 521, 482? -2*u**3 - 2*u**2 + 165*u - 4 What is the a'th term of 142, 135, 130, 127, 126? a**2 - 10*a + 151 What is the l'th term of -33, -11, 45, 153, 331, 597, 969, 1465? 3*l**3 - l**2 + 4*l - 39 What is the y'th term of -13379, -13377, -13375? 2*y - 13381 What is the f'th term of -1, 11, 23, 29, 23? -f**3 + 6*f**2 + f - 7 What is the c'th term of 5489, 5490, 5491? c + 5488 What is the t'th term of 70, 68, 66? -2*t + 72 What is the k'th term of 41, 51, 81, 137, 225, 351? k**3 + 4*k**2 - 9*k + 45 What is the f'th term of -33, -67, -101, -135, -169, -203? -34*f + 1 What is the b'th term of -20, -38, -60, -86, -116, -150, -188? -2*b**2 - 12*b - 6 What is the l'th term of -395, -786, -1179, -1574, -1971, -2370? -l**2 - 388*l - 6 What is the j'th term of -401, -385, -369? 16*j - 417 What is the l'th term of -124, -534, -1216, -2170, -3396, -4894, -6664? -136*l**2 - 2*l + 14 What is the d'th term of 106, 225, 356, 505, 678, 881? d**3 + 112*d - 7 What is the m'th term of 75, 196, 359, 564? 21*m**2 + 58*m - 4 What is the i'th term of 537, 522, 507, 492, 477, 462? -15*i + 552 What is the n'th term of 1006, 1017, 1036, 1063, 1098? 4*n**2 - n + 1003 What is the q'th term of 19, -4, -49, -122, -229, -376? -q**3 - 5*q**2 - q + 26 What is the f'th term of 491, 982, 1473, 1964, 2455, 2946? 491*f What is the j'th term of -41, -89, -137? -48*j + 7 What is the o'th term of 2249, 2236, 2223? -13*o + 2262 What is the z'th term of -20, -47, -86, -137, -200? -6*z**2 - 9*z - 5 What is the c'th term of 9, -25, -131, -345, -703, -1241, -1995? -6*c**3 + 8*c + 7 What is the m'th term of 209, 210, 211, 212, 213? m + 208 What is the j'th term of -18, 0, 54, 162, 342, 612, 990? 3*j**3 - 3*j - 18
Suppose 5*a - a = 8. Suppose -3*z - a = -4*z. Suppose 0 = -3*f + z*f + 10. Is f a multiple of 8? False Let q be (1 - 0 - -23)/1. Suppose 2*b + 0 = q. Is 6 a factor of b? True Suppose -14*z = -13*z - 62. Is z a multiple of 8? False Let r = -173 + 434. Let w = r + -183. Is w a multiple of 26? True Suppose -3*x - q + 301 = 0, -5*x - q + 65 = -436. Does 25 divide x? True Let o be (-84)/15 - (-4)/(-10). Let w = 8 + o. Suppose 12 = 4*z, x = -w*x - 4*z + 93. Is x a multiple of 12? False Let m be -30*((-9)/3 - -2). Suppose l + m = 6*l. Is l a multiple of 3? True Let a = -42 + 97. Is a a multiple of 26? False Let l = -5 + 10. Let p(f) = 2. Let n(c) = 3*c - 7. Let v(o) = 2*n(o) + 6*p(o). Is v(l) a multiple of 11? False Let v be -3 + 0*3/(-9). Is 1*(-3 - -31) + v a multiple of 25? True Let a = 175 + -28. Is 21 a factor of a? True Suppose d = 5*f - 0*d - 14, 8 = 2*f + 2*d. Suppose 2*y - 82 = -f*r, 3*r + 178 = 4*y + 2*r. Does 14 divide y? False Let d = 5 + -3. Suppose -2*u - d*s = -u, -s = 5*u - 27. Suppose -92 = 2*t - u*t. Is t a multiple of 13? False Suppose 0 = 4*o - 0*q - q - 31, -2*o = -5*q + 7. Let g = 17 - o. Does 4 divide g? True Let t(n) = n + 1. Let f be t(-1). Does 14 divide (2 + f + -3)*-25? False Let t(w) = w - 2. Suppose 2*r - 5*g - 22 = 11, 4*r = -4*g - 4. Let k be t(r). Suppose 3*j = -2*v + 37, -k*j = 2*v + 3*j - 35. Is v a multiple of 10? True Let f(v) = 6*v + 9. Is f(4) a multiple of 3? True Let f be 8 + 2*(-1 + 1/2). Let i(p) = -p**2 - 4*p + 2. Let h be i(-4). Suppose -h*v - 45 = -f*v. Is 3 a factor of v? True Let n(b) = -6*b**2 + 6*b - 4. Let p(a) = -5*a**2 + 7*a - 4. Let f(l) = 4*n(l) - 5*p(l). Is f(12) a multiple of 11? False Is 5 a factor of 344/24 - (-2)/3? True Suppose 3*f - 22 = 89. Suppose -f = -3*l + 17. Does 10 divide l? False Let r(d) = -2*d**2 - d + 24. Does 6 divide r(0)? True Let v be (-3)/(-7) + 6/(-14). Suppose n - 11 - 6 = v. Does 8 divide n? False Suppose 0 = -2*l - t + 24, -3*t + 6 - 30 = -2*l. Let r = l + -4. Is 4 a factor of r? True Let f = -54 - -84. Does 15 divide f? True Let q(u) = -u + 2. Let d be q(-5). Let c = d - 4. Suppose -73 = -4*m + c*f, 0 = -m + 4*f - f + 7. Is m a multiple of 13? False Suppose 0 = 73*p - 68*p - 650. Does 10 divide p? True Suppose -f - 9 = -2*f. Let j be (20/(-16))/(2/(-40)). Suppose -f = -k + j. Is 17 a factor of k? True Let g = 0 - -2. Suppose g*o - 9 = -o. Is o a multiple of 2? False Suppose 18 = 4*y - 3*y. Suppose 0 = 5*p - 148 + y. Is 26 a factor of p? True Let p(a) = -a**3 - 4*a**2 + 8*a + 6. Let d be p(-5). Let j = 16 + d. Is 2 a factor of j? False Let g be ((-1)/(-1))/(-2 - -3). Is 8 a factor of g*(44/2 - 1)? False Let j = 14 - -50. Is 18 a factor of j? False Let q be -4 + 3/(3/(-2)). Let d = 1 - q. Is d a multiple of 2? False Let l = -225 - -537. Suppose 4*x - l + 68 = 4*y, 5*y - 20 = 0. Is 18 a factor of x? False Suppose 2*f = -5*x + 2*x + 17, 0 = 5*f - 5*x - 5. Let i = f + 72. Suppose -h + i = h. Does 14 divide h? False Let d(k) be the second derivative of -38*k**3/3 - k**2 - 2*k. Is 14 a factor of d(-1)? False Let f = -66 + 183. Is 13 a factor of f? True Let w(z) = -2*z + 1. Does 13 divide w(-6)? True Let q be ((-2)/(-4))/1*-4. Let z(o) be the third derivative of -o**4/3 - o**3/3 + 9*o**2. Is 7 a factor of z(q)? True Let w(p) = 12*p - 40. Is w(11) a multiple of 23? True Suppose 31*m = 30*m + 55. Is m a multiple of 11? True Let p = -569 - -824. Let q = -151 + p. Is q a multiple of 28? False Is ((-6)/(-4))/((-15)/(-400)*2) a multiple of 18? False Suppose 144 = 6*u - 2*u. Suppose 3*j - u = 36. Does 8 divide j? True Let s(j) = 5*j**2 + 3. Suppose -7 + 3 = a. Let t = a - -1. Is 24 a factor of s(t)? True Let u(m) = 107*m**2 - 3*m + 1. Is u(1) a multiple of 17? False Let n(y) = y**3 + 2*y**2 + 3*y. Is n(3) a multiple of 18? True Let w be (-3 - (-10)/4)*0. Suppose -t + 6*t - 10 = w. Suppose t*j - 48 = 22. Is j a multiple of 16? False Let w(x) = x + 5. Let m be w(-13). Let c(l) = -l + 11. Is 5 a factor of c(m)? False Let t be 1 + 2 - (0 - -1). Let h = t - -2. Suppose 5*b = h*b + 9. Is b a multiple of 9? True Suppose 4*f + 11 = 2*j - 5, -3*f = j + 17. Let t be 4 + j - (-1 - 9). Suppose 0 = 4*k - t, 2*z - 5*k - 24 = 27. Is z a multiple of 11? True Is 20/3 - (-12)/(-18) a multiple of 6? True Let k be (-6)/14 - 405/(-63). Does 17 divide (-206)/(-6) + k/(-18)? True Let f(v) = v**3 - 9*v**2 + 10*v - 12. Let c be f(8). Suppose c*b + 21 = 7*b. Does 3 divide b? False Let q(g) = -3*g - 1. Let h be q(-1). Suppose h = t + 33. Let j = t + 57. Is j a multiple of 13? True Let b(y) = -y**3 + 10*y**2 - 13*y + 9. Is 13 a factor of b(7)? True Suppose -3*s - 3 = -4*s. Suppose -s*p + 30 = -8*p. Let g = 10 + p. Is g a multiple of 3? False Let o = 23 + 11. Does 17 divide o? True Let b = -2 + 3. Let r = b - 0. Is 8 a factor of (-98)/(-6) - r/3? True Let b be ((-6)/(-4))/((-9)/(-18)). Suppose -4*l + 90 = 2*g - 3*l, b*g - 130 = -4*l. Is 8 a factor of g? False Let o(n) = n**3 + 9*n**2 + 8*n + 4. Let q be o(-8). Is 5 a factor of (-10)/q*(-156)/65? False Let t(k) = k**2 - 9*k + 2. Is t(10) even? True Let u(h) = -h - 17. Let a(r) = 3*r + 42. Let d(f) = 5*a(f) + 12*u(f). Suppose 6*i = -8 + 38. Is d(i) a multiple of 9? False Let d = 44 - -120. Is d a multiple of 41? True Suppose -2 = -2*k, 0 = 3*p - k - 3*k - 5. Suppose 0 = p*x + 2*b + 19, -5*b = -2*x - 0*x. Let q(i) = i**3 + 6*i**2 + 3*i - 1. Does 9 divide q(x)? True Let o(j) = j**3 - 9*j**2 + 12*j - 1. Is 11 a factor of o(8)? False Suppose -5*w + 3*w + 96 = 0. Does 9 divide w? False Suppose 2*y - 9 = 7. Suppose -6 = -2*b + 3*b + 3*l, 0 = -3*b + 4*l + y. Is b*(-3)/(-9) - -8 a multiple of 3? False Let j(z) = z**2 + 8*z - 5. Let s be j(5). Let n = s + -23. Is 15 a factor of n? False Suppose y = 2*y - 13. Suppose 4*c + 5*p - y = 0, -c - 4*p + 7 - 1 = 0. Is (-110)/c*3/(-5) a multiple of 17? False Suppose -50 = d - 6*d. Is d a multiple of 6? False Let w(k) = k**3 - k**3 + k**3 + 3*k - 2 - 3*k**2. Does 13 divide w(4)? True Let o(u) = -40*u + 2. Does 16 divide o(-8)? False Let j(x) = -7*x - 4. Suppose -5*n = -h - 8, -6*n - 8 = 4*h - 2*n. Does 9 divide j(h)? False Suppose -z = -20 - 40. Does 6 divide z? True Suppose l = -l + 34. Let v = l + -5. Let g = 34 - v. Is g a multiple of 8? False Suppose 0 = -4*l + 5*y - 8, 2*l + y = l + 7. Suppose -l*c + 15 = -33. Is c a multiple of 9? False Is 13 a factor of 2508/24 + (-3)/6? True Let n = -44 - -77. Does 11 divide n? True Suppose -16*v + 18*v - 120 = 0. Is 10 a factor of v? True Let u(d) = 2*d**3 + 20*d**2 + 5*d + 18. Does 5 divide u(-9)? True Suppose 4*y + 26 = 5*y + g, -5*y - 2*g + 145 = 0. Suppose o - y = 8. Suppose -o = -4*b + b. Is b a multiple of 13? True Let q(c) be the third derivative of -1/6*c**3 + 0*c - 1/60*c**5 + 2*c**2 - 5/12*c**4 + 0. Is 19 a factor of q(-4)? False Let y(m) = 11*m**2 + 3*m + 1. Let x be y(-2). Let b = x + -20. Does 9 divide b? False Let v(p) = -p**2 + 2*p + 8. Let a be v(7). Let g = a - -46. Does 9 divide g? False Suppose -a + 172 = 2*a - 4*s, -s = a - 69. Is a a multiple of 32? True Let m be 1 + (-6)/(-2) + 0. Suppose 2*s - 2*v = -v + 25, 43 = m*s + 5*v. Does 4 divide s? True Suppose -3*i = 4*h - 53 - 196, -h + 3*i = -51. Is 15 a factor of h? True Suppose -2*v + 25 = -0*a - 3*a, 4*a = -3*v - 5. Let x(g) = -8*g - 1 - g**3 - g**2 + 19*g - v + 10*g**2. Is 2 a factor of x(10)? True Let f(p) = 18*p - 1. Let c = -8 + 9. Is 8 a factor of f(c)? False Let i(z) = -z + 20. Is 3 a factor of i(15)? False Let w be 4/14 - 37/7. Let x = 1 - w. Is 5 a factor of x? False Is 7 a factor of 63*(6 + -4)/6? True Let x = -8 + 10. Is 20 a factor of (12/(-16))/(x/(-96))? False Does 38 divide (-56)/7 - -4 - (1 - 119)? True Suppose 5*s = -0*j + 4*j + 105, -65 = -5*s - 4*j. Let t be 2*((-21)/(-9) - 3)*-3. Suppose t*o - 51 = s. Does 17 divide o? True Suppose 31 + 11 = h. Is h a multiple of 17? False Let a(p) be the second derivative of -p**4/12 - 5*p**3/2 - 7*p**2 + 2*p. Let i be -1 + -2*9/2. Is a(i) a multiple of 16? False Suppose 0 = o + o + 6. Let z(j) = -2*j**3 - 3*j**2 + 4*j. Is z(o) a multiple of 5? True Let s = -21 + 35. Is s a multiple of 14? True Suppose 0 = b + 1 - 2. Is (18/24)/(b/4) a multiple of 3? True Let m = -471 + 687. Suppose -4*d + 7*k = 2*k - m, 2*d - 3*k = 108. Does 15 divide d? False Let f be 273/5 - 6/(-15). Suppose -5*j + 2*j = -4*t - 125, 2*t = -j + f. Suppose -j = -2*m + 13. Is m a multiple of 13? False Let g = 161 + -32. Let l = g - 69. Is 20 a factor of l? True Suppose 2*f - 4*t = 0, 4*f - 8 + 26 = -t. Is 3/(-12) - 265/f a multiple of 22? True
Suppose 0*o = 5*o + 25. What is the hundreds digit of o/(5 - 256/51)? 2 Let s(w) = -6*w + 4 + 19*w - 11*w + w**2. What is the tens digit of s(7)? 6 Suppose 635 = 4*o - 217. What is the tens digit of o? 1 Let j be (-2)/(-13) + 192/104. Suppose -4*u + 82 = 2*g, -j*u - g + 50 = -3*g. Suppose y - u = -0*y. What is the units digit of y? 2 Let i(g) = -7*g**2 - 20*g + 16. Suppose h - 5*h = 2*j - 12, 2*h + 2*j = 10. Let d(w) = -w**2 - w. Let v(o) = h*i(o) - 6*d(o). What is the units digit of v(-14)? 6 Suppose 5*q + 33 = 2*j, 2*j + 0 = -q + 3. Suppose j*b = 5*b + 3, -4*o + 3*b = -477. What is the hundreds digit of o? 1 Let o = 18 - 25. Let w(u) = u**3 + 8*u**2 + 6*u - 6. Let p be w(o). Suppose 0 - p = -q. What is the units digit of q? 1 Suppose 16*z = 13*z + 429. What is the hundreds digit of z? 1 Let y = 77 - 56. What is the units digit of (0 - 4/(-10))/(y/945)? 8 What is the hundreds digit of 8/88 - 42534/(-33)? 2 Suppose -2*a + 4*r + 16 = 0, -5*a - r = 1 - 41. Let x(q) = q - q**3 - 7 - 2*q - 9*q + 9*q**2 + 3*q + 5*q. What is the units digit of x(a)? 1 Let w = -91 - -55. Let l = w + 42. What is the units digit of l? 6 Let j be 2/9 - (-14)/(-63). What is the units digit of -5 - -45 - (-1 - j)? 1 Let z(j) = j**2 + 14*j + 35. Let v be z(-12). Suppose 3*s - v = 1. What is the units digit of s? 4 What is the hundreds digit of (-33 + 0)/(5 + (-665)/130)? 2 Suppose -80*t + 68*t = -13212. What is the tens digit of t? 0 Let x = -21 - -29. Let r be x - 8 - 1*-5. Suppose 4*j = -16, -4*a = -3*a - r*j - 31. What is the units digit of a? 1 Suppose 0 = -6*v + 2628 - 72. What is the tens digit of (v + 0)/(-3 + 5)? 1 Let b(v) = -v**2 - 2*v**2 + 3*v**2 + v**2 - 27 + 6*v. What is the units digit of b(8)? 5 Suppose -5*q + 2*d = 73, -3*q - 4*d = -d + 27. Let h = 60 + q. What is the units digit of h? 7 Suppose 3*y + 3*i = 4194, -y - 3*i + 842 = -552. What is the tens digit of y? 0 Suppose -25 = -2*w - 5*f, 20 - 2 = w - 3*f. Let m(x) = x**3 - 15*x**2 + 6*x + 9. What is the tens digit of m(w)? 9 Let v be 1 + 1 + (-2 - 9). Let q = -12 + 28. Let i = q - v. What is the units digit of i? 5 Let m = -42 + 71. What is the tens digit of (m - -17) + -1*4? 4 Let i(u) = 2*u + 13. Let x(f) = -f**2 + 6*f - 6. Suppose -16 - 14 = -5*k. Let b be x(k). What is the units digit of i(b)? 1 Let c(u) = -81*u**2 + 16*u - 5. Let r(i) = 41*i**2 - 8*i + 3. Let s(x) = -6*c(x) - 11*r(x). What is the hundreds digit of s(-2)? 1 Let w be (-3)/((-3)/3)*-1. Let f(j) = -3*j**3 - j**2 + 2*j + 3. What is the tens digit of f(w)? 6 Let f = 31 - 28. Suppose -25 = -3*t - 3*w - 1, -3*t + f*w = 6. What is the units digit of t? 3 Let q = 551 + 388. What is the units digit of q? 9 Let t(d) = -4*d**3 - 17*d**2 + 7*d + 2. What is the tens digit of t(-9)? 7 Suppose 8 = 4*z, 0*z = 3*n + z - 4853. What is the thousands digit of n? 1 Let x(d) = -20*d**2 + 5. Let i(n) = -19*n**2 + 4. Let v(c) = -6*i(c) + 5*x(c). What is the units digit of v(1)? 5 Let w(g) = -5*g + 6. Let o = -5 + 0. What is the tens digit of w(o)? 3 Let j(w) = -100*w - 238. What is the units digit of j(-17)? 2 Suppose 0 = 45*v - 36*v - 252. What is the units digit of v? 8 Suppose -2 + 8 = 2*w. Let k be 3/3*w + -12. What is the tens digit of 2/((-6)/k) - -9? 1 Suppose 0 = -3*b - 9, f + 4*b = 7*b + 34. What is the tens digit of f? 2 Let x = 679 - 591. What is the units digit of x? 8 Let h(n) = -505*n - 62. What is the tens digit of h(-2)? 4 Let a(f) = -f**2 - 6*f - 5. Let b be a(-5). Suppose q = -b*q - 4*t - 12, -5*q = 5*t. Suppose q*z - 3*z = 15. What is the tens digit of z? 1 Suppose -2*l - 5274 = -2*r, 5*r - 258*l = -259*l + 13185. What is the thousands digit of r? 2 Let g = -9 - -13. Suppose a + 5 = 2*a + g*n, 0 = 4*a - 2*n - 20. Suppose 0 = -y - a*f + 52 - 0, -y + 5*f = -72. What is the units digit of y? 2 Let b(m) = -3*m**2 + 4*m + 5. Let q(s) = 5*s**2 - 8*s - 9. Let w(i) = 7*b(i) + 4*q(i). What is the units digit of w(-2)? 3 Let f(p) = -p + 10. Let u be f(10). Let a be (u - 1)/(1/16). Let t = -5 - a. What is the tens digit of t? 1 Let a = -436 - -1395. What is the units digit of a? 9 Let g(v) = 11*v - 7. Let t be g(3). Suppose -2*u = 4*o - 38, 3 = u + 2. Suppose 0 = -5*c + t + o. What is the units digit of c? 7 Let w(y) = -27*y. Let d be w(2). Let c = 93 + d. What is the tens digit of c? 3 Suppose 14 = 2*m + 2*v, -4*v + 30 = 4*m - 2*v. Let i be (m/(-10))/(1/25). Let q = 44 + i. What is the tens digit of q? 2 Suppose 2*s + 8216 = 2*x, 2*x - 4112 = 5*s - 4*s. What is the tens digit of (4/(-14) - s/(-140))*-5? 4 Suppose 28996 + 2747 = 9*g. What is the tens digit of g? 2 Suppose -6*b = -2*m - 8*b + 7882, -8*b = m - 3920. What is the units digit of m? 4 Suppose 0 = -10*p + 7*p + 3*t + 9414, 4*p - 3*t = 12553. What is the hundreds digit of p? 1 Suppose -4*z - 3*p = -109, -2*z + 4*p + 67 = 3*p. Suppose -z*b + 37 = -30*b. What is the tens digit of b? 3 Let g(h) = -21*h + 7. Let i be g(-5). What is the units digit of i - (0/1)/(7/(-7))? 2 Let y(i) = 4 + 33*i + 82*i**2 - 68*i**2 - 2. What is the hundreds digit of y(-5)? 1 Let w = 1298 - 772. What is the hundreds digit of w? 5 Suppose 14*z - 3*z = -66. What is the tens digit of (-12)/(-10)*(-340)/z? 6 Suppose -3*b = -5*d + 49, 4*d + 4 = -b + 33. Suppose k = g + d, 3 = 5*k - 4*g - 40. Let m = 43 - k. What is the units digit of m? 2 Let r(s) = -s**3 - 6*s**2 - 2*s + 3. Let q be 7/21 - 110/6. Let a = q - -12. What is the units digit of r(a)? 5 Suppose 0 = 3*g - 8*l + 5*l - 3105, g = -3*l + 1039. What is the tens digit of g? 3 Let s(a) = 5*a**2 + 13*a + 4. Let o be s(-5). Let m = o - 27. What is the tens digit of m? 3 Let f be (0 - -22)/((-5)/10). Let c = f - -74. Suppose 3*r = -2*r + c. What is the units digit of r? 6 Let y(b) = -b + 9. Suppose 3*u - 1 - 11 = 0. Let a be y(u). Suppose 0 = -v - 4*l - 0*l + 12, a*l - 37 = -4*v. What is the units digit of v? 8 Suppose 0*f + 3971 = 19*f. What is the tens digit of f? 0 Let p = -283 - -847. What is the units digit of p? 4 Suppose 2*m + 14 = 3*f, 0 = 2*m + 7 + 1. Suppose f*t = 9 - 3. Suppose -3*z = -4*u + z + 116, t*u - 4*z = 88. What is the units digit of u? 8 Let o(t) = 3*t. Let d(j) = j**2 - 6*j + 7. Let x = 9 + -4. Let v be d(x). What is the units digit of o(v)? 6 Let h = 0 + 2. Let q be 11/((h - -2)/40). Suppose 11*a - q = 6*a. What is the tens digit of a? 2 Suppose -2*l + 30 = -5*c, -7*l + 4 = -3*l + 4*c. Suppose 6*q - 34 = 3*q - 5*r, 0 = -2*q + l*r - 19. Let n = 14 + q. What is the units digit of n? 7 Suppose 0 = 4*x + 4*r, -2*x = 3*x - 3*r. Let a = x - -8. What is the units digit of a? 8 Let a = -83 + 127. Suppose 2*t - 106 = a. What is the tens digit of t? 7 Suppose -f + 4*l + 856 = -2805, -l + 1 = 0. What is the thousands digit of f? 3 Let t = 12 + 12. Suppose 4*b - 10 + 0 = 2*p, -4*p = 3*b - t. What is the units digit of p? 3 Let s(q) = -q**3 - 8*q**2 - 54*q + 22. What is the units digit of s(-9)? 9 Suppose 3*j - m = -3*m + 775, 4*m = 3*j - 781. Let s = -133 + j. What is the units digit of s? 6 Suppose -2*o = 4*j - 988, -3*o + 2*j - 216 + 1674 = 0. What is the units digit of o? 8 Let w = -6 - -9. Suppose 608 = 12*s + 92. Suppose 52 = -w*m - 3*b + 163, 2*b = m - s. What is the tens digit of m? 3 Let u(b) be the third derivative of b**6/120 + b**5/6 - b**4/6 - 5*b**3/3 - 25*b**2. What is the tens digit of u(-10)? 3 Let n be -14 - (-1 - -2) - -1. Let h = 99 - n. What is the hundreds digit of h? 1 Let t(m) = -343*m**3 - 3*m**2 - 5*m - 4. What is the tens digit of t(-1)? 4 Let v = -1167 - -1649. What is the units digit of v? 2 Suppose -2*r = -10, r - 211 - 178 = 4*c. Let o = c + 210. What is the tens digit of o? 1 Suppose 5*y - 6*y + n = -1589, 3*n + 3176 = 2*y. What is the units digit of y? 1 Let c(q) = -5*q + 4*q - 3 + 0*q. Let d be c(-7). Suppose d*b - 5*b + 8 = 0. What is the units digit of b? 8 Suppose o + 0 = 16. Suppose 0 = -o*d + 20*d - 236. What is the tens digit of d? 5 Suppose 3*f = f. Suppose o = -f*o + 3. What is the units digit of (-1*o)/((-6)/30)? 5 Let u = -181 + 277. Let o be u/(-8) - -1*2. What is the units digit of (12/o)/(10/(-450))? 4 Suppose 5*g = -4*n + 111, -19 - 30 = -3*g + 2*n. Suppose g - 42 = -k. What is the tens digit of k? 2 Let j(n) = 5*n**3 + 10*n**2 - 31*n + 54. What is the thousands digit of j(8)? 3 Let n = -18 + 28. What is the tens digit of 15 - (-4 + n)/2? 1 Suppose -x - 292 = -245. Let y(r) = -r + 1. Let g be y(1). What is the tens digit of g - (-2 + (x - 3))? 5 Suppose 3250 = -11*o + 10796. What is the units digit of o? 6
What comes next: 4540, 10762, 16984? 23206 What comes next: 53, 82, 119, 158, 193? 218 What comes next: 344, 375, 394, 401, 396, 379, 350? 309 What comes next: -4650, -18040, -40358, -71604, -111778? -160880 What comes next: -119329550, -119329548, -119329546? -119329544 What is next in 44590, 83710, 122854, 162034, 201262, 240550, 279910, 319354? 358894 What comes next: -1160102, -1160134, -1160166, -1160198, -1160230? -1160262 What is next in -5236598358, -5236598359, -5236598360, -5236598361? -5236598362 What is next in -14742300, -14742297, -14742294? -14742291 What is the next term in 424393, 848782, 1273185, 1697608, 2122057? 2546538 What comes next: 853, 6219, 20691, 48817, 95145? 164223 What comes next: 16541, 16500, 16459, 16418, 16377, 16336? 16295 What is the next term in -3947, -3892, -3801, -3680, -3535, -3372, -3197, -3016? -2835 What comes next: -518470, -518446, -518422, -518398, -518374, -518350? -518326 What is the next term in -170, -361, -848, -1775, -3286? -5525 What is the next term in -7539702, -15079407, -22619112, -30158817, -37698522? -45238227 What is next in 71855, 143737, 215621, 287507, 359395, 431285? 503177 What comes next: -125333, -500909, -1126731, -2002793, -3129089? -4505613 What comes next: -2461163, -2461164, -2461165, -2461166? -2461167 What comes next: 111384, 111522, 111660? 111798 What comes next: 901506, 901514, 901528, 901548, 901574? 901606 What comes next: -1086, -2042, -3008, -3984? -4970 What comes next: 4594417, 18377688, 41349815, 73510804, 114860661, 165399392, 225127003? 294043500 What is next in 10242, 10104, 9832, 9396, 8766, 7912, 6804? 5412 What is next in -99834979, -99834985, -99834993, -99835003, -99835015, -99835029? -99835045 What is the next term in 7822866, 7822867, 7822868, 7822869, 7822870? 7822871 What is the next term in -111733296, -111733299, -111733304, -111733311? -111733320 What is the next term in 2979921, 5959192, 8938465, 11917740, 14897017, 17876296? 20855577 What is next in 6178782, 6178783, 6178784, 6178785, 6178786? 6178787 What is next in -25701, -25633, -25565? -25497 What comes next: -168611556, -337223116, -505834676, -674446236, -843057796? -1011669356 What is the next term in -156750, -317937, -479124, -640311? -801498 What is the next term in -86784, -184083, -281382, -378681, -475980? -573279 What is next in -12512, -24758, -36938, -49052, -61100, -73082? -84998 What is the next term in 5098, -357, -9428, -22097, -38346, -58157, -81512? -108393 What is next in 6648405, 26593662, 59835757, 106374690? 166210461 What is the next term in -2174, -6216, -12140, -19958, -29682, -41324, -54896? -70410 What comes next: -276926, -276959, -276992, -277025, -277058? -277091 What is next in -2072, -2303, -2860, -3905, -5600, -8107, -11588? -16205 What is next in -129810, -258860, -387910, -516960, -646010, -775060? -904110 What comes next: -177754, -711082, -1599982, -2844454, -4444498? -6400114 What is the next term in 2030758, 4061412, 6092066? 8122720 What is the next term in -309817, -309788, -309759? -309730 What is next in -25188, -53548, -81908? -110268 What is the next term in 26054, 26020, 25946, 25820, 25630, 25364, 25010? 24556 What is next in 752674, 1505501, 2258328, 3011155, 3763982, 4516809? 5269636 What is the next term in -40988, -27463, -13936, -407, 13124, 26657? 40192 What is the next term in 423282, 422307, 421330, 420351, 419370, 418387? 417402 What is next in -31025, -53830, -76635, -99440, -122245? -145050 What is next in -23499, -47038, -70583, -94134, -117691, -141254, -164823? -188398 What comes next: 29143, 29140, 29113, 29050, 28939, 28768? 28525 What comes next: -690, -770, -918, -1128, -1394, -1710, -2070, -2468? -2898 What is next in -3628850, -7257695, -10886540, -14515385, -18144230, -21773075? -25401920 What is next in 3192192, 3192206, 3192220, 3192234, 3192248? 3192262 What is the next term in 132084560, 132084559, 132084558? 132084557 What is the next term in 182100, 728368, 1638806, 2913414, 4552192, 6555140? 8922258 What comes next: -12120, -23200, -33236, -42222, -50152? -57020 What is the next term in 353521, 707173, 1060827, 1414483, 1768141, 2121801? 2475463 What is next in 102679, 103457, 105567, 109675, 116447, 126549, 140647? 159407 What comes next: -722523, -722376, -722133, -721794? -721359 What comes next: 60205, 61165, 62765, 65005, 67885, 71405, 75565? 80365 What is the next term in 679614, 1359409, 2039214, 2719035, 3398878, 4078749, 4758654? 5438599 What comes next: 405995, 406044, 406093, 406142? 406191 What is the next term in -4509, -4264, -3847, -3258, -2497? -1564 What is the next term in -10493, -34589, -58685, -82781, -106877? -130973 What comes next: 111385, 424411, 946113, 1676485, 2615521, 3763215, 5119561? 6684553 What is next in -3680, 3172, 10024? 16876 What is next in 31796, 123604, 276618, 490838, 766264? 1102896 What comes next: -34857, -34797, -34737, -34677? -34617 What comes next: 653221, 1306304, 1959131, 2611576, 3263513, 3914816, 4565359? 5215016 What comes next: -4374428, -4374418, -4374394, -4374350, -4374280, -4374178, -4374038? -4373854 What is next in -64611, -129372, -194133, -258894? -323655 What is next in 364170, 1456559, 3277210, 5826123, 9103298, 13108735, 17842434? 23304395 What comes next: 1175624, 2351247, 3526866, 4702481, 5878092? 7053699 What comes next: 7838, 273, -20262, -60253, -126186, -224547? -361822 What is the next term in 357478, 358216, 358958, 359704, 360454, 361208, 361966? 362728 What comes next: 869900, 1739190, 2608480, 3477770, 4347060? 5216350 What comes next: -12443, -12170, -11893, -11612, -11327, -11038? -10745 What comes next: -356739, -358383, -360027? -361671 What comes next: -15650, -15696, -15852, -16184, -16758, -17640, -18896, -20592? -22794 What is next in 78510435, 78510436, 78510437? 78510438 What is the next term in 9371815, 18743611, 28115407? 37487203 What is the next term in -109812175, -109812181, -109812187? -109812193 What is the next term in -902142, -1804333, -2706524, -3608715, -4510906, -5413097? -6315288 What is next in 2279, 9086, 20439, 36344, 56807, 81834, 111431, 145604? 184359 What comes next: -133294280, -133294281, -133294282, -133294283? -133294284 What comes next: -95, 129, 763, 2017, 4101, 7225, 11599? 17433 What is the next term in 118991, 120168, 121345, 122522, 123699? 124876 What is the next term in -3152, -6307, -9538, -12857, -16276, -19807, -23462? -27253 What is the next term in 1145, 4282, 9383, 16448? 25477 What is next in -1161, -5448, -17101, -39804, -77241, -133096? -211053 What comes next: 320835, 641807, 962781, 1283757, 1604735, 1925715, 2246697? 2567681 What comes next: 43176, 172783, 388820, 691287, 1080184, 1555511? 2117268 What is the next term in -38539, -153855, -346047, -615115? -961059 What comes next: 262275, 2097874, 7080219, 16782684, 32778643, 56641470, 89944539? 134261224 What is the next term in -2067374, -2067360, -2067350, -2067344, -2067342, -2067344? -2067350 What is next in -53963, -431633, -1456749, -3453035, -6744215, -11654013? -18506153 What is next in -75922, -151787, -227648, -303499, -379334, -455147? -530932 What comes next: 514304, 1028710, 1543116, 2057522, 2571928? 3086334 What comes next: 13427055, 13426942, 13426829? 13426716 What is next in 86940, 347791, 782542, 1391193? 2173744 What is the next term in 23, -1389, -5195, -12595, -24789? -42977 What comes next: 1583737, 1583701, 1583665, 1583629, 1583593? 1583557 What is the next term in 22230358, 22230314, 22230270? 22230226 What comes next: 4262, 8266, 12242, 16178, 20062, 23882, 27626? 31282 What comes next: -13579, -13431, -13283, -13135? -12987 What is the next term in 6127649, 6127651, 6127653, 6127655, 6127657? 6127659 What comes next: -2065, -6535, -13975, -24379, -37741? -54055 What is next in -536451, -536439, -536427, -536415? -536403 What comes next: -2224, -4340, -6480, -8656, -10880, -13164? -15520 What is the next term in -3818873, -15275485, -34369837, -61101929, -95471761, -137479333, -187124645? -244407697 What comes next: -9694, -19331, -28960, -38581, -48194, -57799? -67396 What comes next: 3825, 2528, -1005, -7896, -19267, -36240, -59937, -91480? -131991 What comes next: 45565510, 45565515, 45565520, 45565525? 45565530 What comes next: -55594, -108125, -160658, -213193, -265730, -318269, -370810? 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4454 What is next in 11958, 11941, 11912, 11871, 11818, 11753? 11676
Let z(m) = -10*m - 63. Is 7 a factor of z(-7)? True Let o be 8/14*(-7)/(-2). Let z(j) = 2*j**2 + 6*j + 5. Let k(y) = 3*y**2 + 11*y + 9. Let n(u) = -4*k(u) + 7*z(u). Is 2 a factor of n(o)? False Suppose 2*h - 4 = -4*k, -6 = -3*h - 3*k + 8*k. Suppose -z + 17 = -r, -4*r + 79 = h*z + z. Suppose z = 3*y - 15. Is 4 a factor of y? True Suppose n = 5*h + 3*n - 173, -3*h - 2*n + 103 = 0. Is h a multiple of 28? False Suppose 3*q + 2*h = 52, 2*q = -2*h - 2*h + 24. Does 5 divide q? True Suppose 5*b + 5*w - 40 = 0, -b + 0*w - 17 = -4*w. Suppose 0 = -2*i + 3*s + 12, b*i - i + s = 4. Does 7 divide 7 + i + (-1 - 2)? True Let k be (6/(-4))/((-3)/6). Suppose 0 = -2*v + k*v. Suppose v = -2*f + 34 - 2. Does 9 divide f? False Suppose -2*r + 5*c + 52 = 0, -4*r = 2*c - c - 148. Does 20 divide r? False Let j(w) = 106*w + 1. Does 29 divide j(3)? True Suppose 5*l - 133 = 5*m - 543, -5*m - 4*l + 365 = 0. Does 24 divide m? False Suppose -3*l - 2*l + 20 = 0. Suppose -w + 5*g = -0*w, 17 = l*w - 3*g. Does 5 divide w? True Suppose 0 = -11*a + 7*a + 612. Is 17 a factor of a? True Let o = -5 + 130. Is o a multiple of 25? True Let d(v) = -v**2 + 18*v + 3. Let i be d(18). Suppose l = i*n + 57, -2*l - n = 2*l - 215. Does 27 divide l? True Let y(o) be the third derivative of -o**4/12 - o**3/6 + 2*o**2. Let x be y(-4). Is (2 + -9)*(-24)/x a multiple of 12? True Suppose -4 = h - 5. Suppose -p = 2*s + p, 2*p = -5*s. Is 21 a factor of (-2 - s - h)*-7? True Does 38 divide (105 + 3)/((-5)/((-45)/6))? False Let i = -8 + 19. Let w = 12 + i. Is 6 a factor of w? False Let z = 5 - 3. Suppose z*o - 26 = 10. Is 5 a factor of o? False Let f be 33/(-7) + 10/(-35). Let w(t) = 2*t. Let m be w(-1). Does 24 divide (256/10)/m*f? False Let r(l) = l**3 - 3*l**2. Let b be r(3). Suppose b = -2*h + 5*h - 57. Suppose h = 3*o - 44. Is 8 a factor of o? False Let u(m) = -m + 81. Does 20 divide u(21)? True Let q(r) = 4*r**2 - 3*r - r**2 - 2 - 1. Suppose 3*u = -6, 2*i - 7 = -3*i - 4*u. Does 8 divide q(i)? False Let v(f) be the second derivative of f**5/20 + f**4/4 + f**3/2 + f**2 + 4*f. Let h be v(-2). Let b = h - -4. Is 2 a factor of b? True Suppose -11*x - 234 = -20*x. Does 11 divide x? False Let b(c) = -c + 25. Is b(10) a multiple of 5? True Let m = 78 - 66. Is m a multiple of 12? True Let j = 43 - -12. Let x = j - 32. Is x a multiple of 5? False Suppose -4*u = 4*f - 52, f - 8*u = -4*u - 7. Let h = 15 - f. Suppose h*y - 12 = 2*y. Does 3 divide y? True Suppose a - 3*h + 6*h - 6 = 0, -6 = -3*h. Let f(g) = -4*g. Let d be f(-3). Suppose 4*b - d = a, b - 135 = -3*q - 24. Is 18 a factor of q? True Suppose -b + 2 + 0 = 0, f + 3*b = 15. Suppose -5*c = 1 + f. Does 13 divide ((-68)/c - 2) + -2? False Suppose q = -4*q. Let u be 3/(9/114) - q. Suppose 0 = 3*r - 2*r - u. Is 19 a factor of r? True Suppose 15 = -2*y + 3*n, -26 = 5*y + 4*n + 23. Let f = y + 51. Is f a multiple of 14? True Suppose -334 = -5*k + z, 4*k - 3*z - 2*z - 284 = 0. Suppose -k = -4*i + 262. Is 17 a factor of i? False Let g(s) = 2*s**2 + 3*s - 8. Is 23 a factor of g(-6)? True Let w = -284 + 580. Suppose -c + 830 + w = 0. Is 17 a factor of c/22 - (-12)/(-66)? True Let t be (-6)/30 - 16/(-5). Suppose -t*z + b + 7 = -3*b, -55 = -5*z - 2*b. Let o = z + -4. Does 5 divide o? True Is 14 a factor of (-1 - 2)*(-140)/15? True Is 5 a factor of (-4)/3*27/(-6)? False Let p = -1 - -4. Let z(d) = d**3 - 9*d**2 - 2*d + 4. Let a(c) = -2*c**3 + 17*c**2 + 4*c - 7. Let k(i) = 6*a(i) + 11*z(i). Is k(p) a multiple of 8? True Suppose -30 = -m - 4*m. Is 6 a factor of m? True Suppose 4*j = -k + 302, 3*j + 934 = 3*k + j. Does 31 divide k? True Suppose 3*p + 5 = -5*f, 3*p - 2 + 0 = 2*f. Is 19 a factor of (19/f)/((-2)/8)? True Suppose 75 = z - 6*z. Let l(s) = -6*s. Let c be l(-4). Let i = c + z. Is 6 a factor of i? False Let v be -3*(-3 - (-3 - -1)). Suppose 4*z - 104 = -v*m, -m - z = 3*z - 32. Is 9 a factor of m? True Suppose 4*m + 2*h - 30 = 0, 2*m - 5*h = 3*m - 3. Is m a multiple of 4? True Let a(i) = i**2 + i + 2. Let r be a(-5). Let g = r - -47. Is g a multiple of 25? False Suppose 2*h - 792 + 248 = 0. Suppose 4*n = 4*g - h, g = n + 4*n + 68. Is 17 a factor of g? True Let t(m) be the first derivative of m**3/3 - 7*m + 42. Suppose -2*j - 5 + 19 = 0. Does 21 divide t(j)? True Let k(n) = n + 12. Let m(q) = 4*q + 5. Let r be m(-3). Does 2 divide k(r)? False Let h(d) = d**2 + 4*d - 7. Let f be h(-8). Let g = 41 - f. Does 16 divide g? True Let q = 197 + -125. Is q a multiple of 18? True Let t(j) = 3 - 4*j + 3*j + 11 + j**2. Let a be 6*(1 - (-3)/(-2)) - -3. Is 7 a factor of t(a)? True Suppose 7*z - 2*z - 2*t = 10, 2*t = -5*z + 10. Suppose -z*r - r + 78 = 0. Is 10 a factor of r? False Suppose -5*g - 3*l = -40, -l - 1 = -3*g + 9. Let i = g - -5. Is 5 a factor of i? True Let u = -38 + 54. Is 4 a factor of u? True Let t be (2/3)/((-2)/6). Let y = t - -10. Is 4 a factor of y? True Let m(c) = -c**3 - 7*c**2 - 2*c - 4. Let z be m(-7). Suppose 2*q - z = 0, 130 = 3*b + 4*q + q. Is 16 a factor of b? False Suppose -844 = j + 492. Is (-2)/(-7) + j/(-28) a multiple of 21? False Suppose 3*u - 190 - 507 = -4*a, 0 = 5*u - 3*a - 1152. Is u a multiple of 29? False Is 78 + 0 + (3 - 3) - 2 a multiple of 19? True Let s be (-1 - -1)*2/(-4). Let t(f) = f - 43. Let q be t(s). Let w = q + 73. Is 11 a factor of w? False Suppose -3*q + 133 = 4*z, 3*z - 2*q = 2*z + 47. Is z a multiple of 13? False Let j be (7 - 3/(-1))*12. Let h be (-329)/(-4) - 2/8. Let a = j - h. Is a a multiple of 13? False Let u be (-3)/(-3) + 3 + -4. Suppose -5*m - 6*g + 78 = -2*g, -4*g + 8 = u. Does 3 divide m? False Let b(u) = 9 + 6*u - 2 + 8*u - 3*u. Let p be b(5). Suppose -2*q = 5*m - p, -4*m + 2*q + 43 = -3*q. Is 6 a factor of m? True Suppose 5 = 5*r - 5*z, 4*r - r - 7 = 2*z. Is r a multiple of 5? True Suppose 0 = 15*u - 5*u - 140. Is u even? True Let s(o) = -3*o**3 + o**2 + 2*o. Let d be s(2). Let f = d - 20. Let p = f - -61. Is 17 a factor of p? False Is (-2)/(-6) + 1179/27 a multiple of 22? True Suppose 19*i + 340 = 23*i. Does 17 divide i? True Let c be (1/(-2))/((-4)/464). Suppose -3*m + 12 = 3, -4*m = -2*n + c. Is 15 a factor of n? False Is 11 a factor of 14/77 + 722/22? True Let n(v) = -v**2 + 6*v + 1. Let t be n(5). Let z = -105 + 129. Suppose -t = -5*r + z. Is r a multiple of 6? True Let c(n) = 4*n + 3. Let m be c(-6). Let d = m - -46. Is d a multiple of 11? False Let i(j) = 7*j**2 - j - 11. Does 11 divide i(-3)? True Let s = 155 + 15. Does 17 divide s? True Suppose -83 = -4*y + 21. Is 13 a factor of y? True Let m(o) = -o**2 + 10*o - 2. Let z be m(10). Let t be (z/(-4))/((-2)/8). Does 9 divide ((-1)/((-2)/(-36)))/t? True Let q = 649 + -374. Is q a multiple of 48? False Let l(n) = -3*n**2 - 2*n + 0 - 3*n + 4 + 2*n**2. Let d(k) = -k**2 - 9*k + 7. Let j(o) = 3*d(o) - 5*l(o). Does 4 divide j(-2)? False Let f(c) be the third derivative of c**5/60 + c**4/8 + c**3 - 3*c**2. Let g be f(-6). Suppose -g - 18 = -3*o - 3*p, 36 = 2*o + 4*p. Is 6 a factor of o? False Is 7 a factor of (-123)/(-7) + (-8)/14? False Let f(c) = -c**2 - 5*c. Let s(l) = -l - 1. Suppose 0 = -5*a + 21 - 6. Let h be s(a). Is 3 a factor of f(h)? False Suppose -768 = -24*i + 20*i. Does 25 divide i? False Let q be (519/(-1))/((-3)/(-2)). Is 13 a factor of (-12)/(-30) - q/10? False Let z(d) = d**2 - 5*d + 4. Let x be z(5). Let y(i) = 2*i**2 - 6*i - 3. Let o be y(5). Suppose -3 = -x*c + o. Does 5 divide c? True Let f(t) = -t**2 + 8*t - 1. Does 3 divide f(4)? True Let a(x) = x**3 + 9*x**2 + x + 12. Suppose -3*r + 59 = 4*w, -2*w = 2*w - 3*r - 53. Let q = 5 - w. Is a(q) a multiple of 3? True Let w(f) = f**3 - 5*f**2 - 13*f + 20. Is w(7) a multiple of 9? True Suppose j - 37 = 13. Let b be 1/((-18)/10 - -2). Suppose 4*p - 5*s - 125 = 0, -3*p - b*s + j = -0*p. Is p a multiple of 13? False Let v(d) = 2*d**2 + 5*d + 6. Let q be v(-5). Suppose 0 = -2*p + 2*f + q + 15, 0 = 2*f - 4. Suppose 0 = k - 4*r - 62, -2*k + p = -r - 64. Is k a multiple of 23? False Let p = 11 - 8. Suppose -p*b - c - 4*c = -221, 0 = -4*b - 5*c + 293. Is b a multiple of 24? True Let a(y) = 8*y**3 + 3*y**2 - y + 3. Is 8 a factor of a(2)? False Suppose -94 = -4*n + v, -4*n + 4*v + 40 = -48. Suppose 2*f - n = -0*f. Does 4 divide f? True Let j = 30 + -8. Does 11 divide j? True Let o be (-3)/2*(-2 - -4). Let r(g) = 3*g**2 + 3*g - 3. Is 5 a factor of r(o)? True Let r be (-3)/(-12) - 19/(-4). Suppose 5*s - 52 = -3*y + 40, 176 = r*y - 3*s. Is y a multiple of 17? True Suppose 0*d + 4 = 2*d. Suppose -5*m + 8 = -d*y + 3*y, 2*m - 109 = -5*y. Does 18 divide y? False
Let a**2/6 - 162881*a/3 + 26530220161/6 = 0. What is a? 162881 What is i in -2*i**2/5 + 23464*i/5 - 68649384/5 = 0? 5574, 6158 Let -5*k**4 - 149215*k**3 - 447490*k**2 + 3282520*k + 3580800 = 0. Calculate k. -29840, -6, -1, 4 Solve -40*l**5 - 6235*l**4 + 1465*l**3 + 106780*l**2 - 13200*l - 112320 = 0 for l. -156, -4, -1, 9/8, 4 Factor -2*i**2/5 + 106845212*i - 7134937079578090. -2*(i - 133556515)**2/5 Factor -i**3/3 + 8141*i**2/3 + 3727240*i/3 + 415320400/3. -(i - 8581)*(i + 220)**2/3 Factor -4*g**2 - 156995688*g - 156995684. -4*(g + 1)*(g + 39248921) Find b such that b**5/8 - 127*b**4/8 - 941*b**3/8 + 18563*b**2/8 + 15085*b/2 + 10241/2 = 0. -14, -2, -1, 11, 133 Solve -2*g**5/7 + 698*g**4/7 + 14962*g**3/7 - 10614*g**2 - 88560*g/7 = 0. -24, -1, 0, 5, 369 Solve 5*y**5 + 2785*y**4 + 446935*y**3 + 14253035*y**2 - 385566120*y = 0. -251, -72, 0, 17 Solve -k**5/12 - 91*k**4/6 - 2386*k**3/3 - 40700*k**2/3 - 135604*k/3 - 126776/3 = 0. -106, -46, -26, -2 Factor 3*c**2/4 - 183702*c - 734820. 3*(c - 244940)*(c + 4)/4 Factor d**2/2 + 149488*d + 298975/2. (d + 1)*(d + 298975)/2 Factor -i**3/5 - 2908*i**2 + 29084*i/5. -i*(i - 2)*(i + 14542)/5 Determine s so that 4*s**5 - 2268*s**4 - 36964*s**3 - 202148*s**2 - 428640*s - 261184 = 0. -7, -4, -1, 583 Factor -2*z**3/19 - 159320*z**2/19 - 1593050*z/19 - 3982500/19. -2*(z + 5)**2*(z + 79650)/19 Solve 2*d**2/3 - 7526*d + 782880 = 0. 105, 11184 Factor 3*t**3/2 + 15663*t**2/2 + 31317*t/2 + 15657/2. 3*(t + 1)**2*(t + 5219)/2 Factor 2*r**2/3 - 28893192*r + 313056203980824. 2*(r - 21669894)**2/3 Find a, given that 2*a**2/3 - 14980*a - 9846158/3 = 0. -217, 22687 Factor -115*d**2 - 3063170*d - 799080. -5*(d + 26636)*(23*d + 6) Factor -h**2 + 25026*h + 726595. -(h - 25055)*(h + 29) Find o such that -891075*o**4 - 29412610140*o**3 - 242713020779532*o**2 - 1781378780736*o - 3268584192 = 0. -16504, -2/545 Factor 2*m**2 + 7171000*m + 6427905125000. 2*(m + 1792750)**2 Solve 4*g**4 - 56656*g**3 + 184758100*g**2 + 114496764744*g - 229732108704 = 0. -532, 2, 7347 Suppose 2*d**4/13 + 35106600*d**3/13 + 154059135338396*d**2/13 - 23701413538200*d + 11850708119354 = 0. Calculate d. -8776651, 1 Determine o so that 2*o**2/3 - 160094*o/3 + 32416664/3 = 0. 203, 79844 Factor -2125*q**3 - 228858260*q**2 - 6161895029105*q - 28997148010. -5*(q + 53849)**2*(425*q + 2) Solve 3*m**5 - 30*m**4 - 288*m**3 + 570*m**2 + 5325*m + 4500 = 0. -5, -4, -1, 5, 15 Find t, given that -54*t**2/13 + 4256*t/13 + 5120/13 = 0. -32/27, 80 Factor 2*f**2/9 + 19428872*f/3 + 47185133399048. 2*(f + 14571654)**2/9 Factor u**3/5 + 1016837*u**2/5 + 406734*u. u*(u + 2)*(u + 1016835)/5 Factor -200*s**3 - 235040*s**2 + 1368278*s - 1986442. -2*(s + 1181)*(10*s - 29)**2 Determine x so that 9*x**4 + 6711*x**3 + 54762*x**2 - 2009436*x - 1361976 = 0. -737, -22, -2/3, 14 Determine t so that 4*t**5 + 1600*t**4 - 91444*t**3 - 5036560*t**2 + 5126400*t = 0. -445, -36, 0, 1, 80 Find p, given that 2*p**5/15 + 5782*p**4/15 + 1579546*p**3/5 + 397947486*p**2/5 = 0. -1709, -591, 0 Suppose -t**2/3 - 1762541*t/3 - 4700088 = 0. What is t? -1762533, -8 Let 2*f**4/5 + 388*f**3/5 + 18402*f**2/5 - 18792*f/5 = 0. What is f? -108, -87, 0, 1 Factor 5*i**3 + 40680*i**2 - 122135*i - 406950. 5*(i - 5)*(i + 2)*(i + 8139) Find f, given that f**2/4 + 3180753*f/4 + 36578395/2 = 0. -3180730, -23 Factor -4*j**4/3 + 3424*j**3 - 2523900*j**2 + 574431048*j. -4*j*(j - 1494)*(j - 537)**2/3 Solve -2*f**3/13 + 74402*f**2/13 - 54378576*f + 276821683488/13 = 0 for f. 409, 18396 What is c in c**3/3 + 10228*c**2/3 - 11189347*c/3 + 2913624926/3 = 0? -11246, 509 Let -4*d**5 - 1964*d**4 + 62184*d**3 - 174728*d**2 + 170780*d - 56268 = 0. What is d? -521, 1, 27 Factor 2*b**2/7 + 91694238*b/7 + 91694236/7. 2*(b + 1)*(b + 45847118)/7 Let -2*z**5 - 27968*z**4 - 7996126*z**3 + 27968*z**2 + 7996128*z = 0. Calculate z. -13692, -292, -1, 0, 1 Determine m, given that -2*m**2/11 + 17566*m/11 + 5374768/11 = 0. -296, 9079 Determine p so that 5*p**4 + 450*p**3 - 30095*p**2 + 529380*p - 2927340 = 0. -139, 13, 18 Suppose 51860*a**2 + 45844255*a + 13260 = 0. What is a? -884, -3/10372 What is q in 20*q**2 + 60189275*q - 15047320 = 0? -3009464, 1/4 Find l such that 3*l**5/2 + 9837*l**4 + 157113*l**3/2 - 285195*l**2 - 1768500*l = 0. -6550, -9, -4, 0, 5 Suppose -46*u**5 - 47*u**4 + 90*u**3 = 0. Calculate u. -2, 0, 45/46 Suppose -23*h**4/4 - 62351*h**3/4 - 2910745*h**2/2 - 34516848*h + 3012480 = 0. Calculate h. -2615, -48, 2/23 Determine z, given that 2*z**4/3 + 2172712*z**3/3 + 590086852058*z**2/3 + 393382543884*z - 1573553351088 = 0. -543177, -4, 2 Factor 3*v**3 + 3636*v**2 + 92652*v + 170784. 3*(v + 2)*(v + 24)*(v + 1186) What is m in -3*m**2/8 - 38409*m/4 + 845361/8 = 0? -25617, 11 Solve -3*n**3/2 + 207*n**2 - 15687*n/2 + 87318 = 0. 21, 33, 84 Factor -y**2/3 - 4721498*y/3 - 5573135841001/3. -(y + 2360749)**2/3 Let -25964*u**3 - 337524*u**2 + 1246376*u - 384 = 0. Calculate u. -16, 2/6491, 3 Solve s**3/2 + 87409*s**2/2 + 87407*s = 0 for s. -87407, -2, 0 Factor -4*x**3 + 180*x**2 + 2424*x - 12320. -4*(x - 55)*(x - 4)*(x + 14) Factor w**3/5 - 121886*w**2/5 - 73133*w - 243778/5. (w - 121889)*(w + 1)*(w + 2)/5 Find g, given that -2*g**2/7 + 36100280*g/7 - 36100278/7 = 0. 1, 18050139 Find n such that -n**5/8 + 141*n**4/8 - 951*n**3/4 - 6053*n**2/4 - 17937*n/8 - 7875/8 = 0. -3, -1, 21, 125 Factor 18*a**2 + 220508565*a - 36751428. 3*(a + 12250476)*(6*a - 1) Factor 2*f**2/5 - 193882*f - 2908248/5. 2*(f - 484708)*(f + 3)/5 Factor 3*v**3 + 34417*v**2 - 367467*v - 126313. (v - 11)*(v + 11483)*(3*v + 1) What is s in -5*s**4 - 229670*s**3 - 2637415125*s**2 + 14698880*s + 168794588480 = 0? -22967, -8, 8 Factor -u**4/5 - 139*u**3/5 - 646*u**2/5 + 3216*u/5. -u*(u - 3)*(u + 8)*(u + 134)/5 Let 3*k**2/2 - 652919082*k + 71050554606620454 = 0. What is k? 217639694 Factor 3*q**2/8 + 5194083*q/2 + 8992832736963/2. 3*(q + 3462722)**2/8 Factor -d**2 + 5554*d - 3301729. -(d - 4877)*(d - 677) Find p such that -3*p**3 + 4249692*p**2 - 1504998673920*p + 6019926700800 = 0. 4, 708280 Factor k**2/7 - 9166*k/7 - 55032/7. (k - 9172)*(k + 6)/7 Suppose -44*i**2 + 990979388*i + 180178072 = 0. Calculate i. -2/11, 22522259 Solve -c**4/4 - 86980*c**3 - 8697349*c**2/4 + 4522635*c/2 = 0. -347895, -26, 0, 1 Factor -3*b**2/4 + 3494295*b/4 - 3494283. -3*(b - 1164761)*(b - 4)/4 Determine r, given that 179912*r**3/5 + 10075073*r**2/5 + 19430552*r/5 + 108/5 = 0. -54, -2, -1/179912 Factor -1082193512643*j**3 + 1082192311425*j**2 + 3603653*j/3 + 1/3. -(j - 1)*(1801827*j + 1)**2/3 Factor o**4 + 8246*o**3 - 140391*o**2 + 660976*o - 528832. (o - 8)**2*(o - 1)*(o + 8263) Determine q, given that -q**5 + 221*q**4 - 3134*q**3 + 9064*q**2 = 0. 0, 4, 11, 206 Let 8*f**4/9 + 50*f**3 - 47960*f**2/9 + 126170*f/3 + 10848 = 0. Calculate f. -113, -1/4, 9, 48 Determine a so that -116162*a**5 - 7900944*a**4 - 139525512*a**3 - 738316576*a**2 - 12225408*a - 50688 = 0. -44, -12, -2/241 Determine h so that 5*h**3 + 9870*h**2 - 662045*h + 1284570 = 0. -2039, 2, 63 Find q such that -5*q**4 + 2129660*q**3 + 23426825*q**2 + 17037820*q - 42594300 = 0. -10, -2, 1, 425943 Determine d so that 2*d**5/5 + 946*d**4/5 + 31848*d**3/5 + 168544*d**2/5 + 322112*d/5 + 41952 = 0. -437, -30, -2 Determine i, given that -186*i**4 + 13070*i**3 - 167796*i**2 - 129176*i - 7632 = 0. -2/3, -2/31, 18, 53 Suppose 2*k**4/7 - 1340*k**3/7 + 210936*k**2/7 + 427248*k/7 = 0. Calculate k. -2, 0, 258, 414 Factor s**2/4 + 275839*s/4 + 275837/2. (s + 2)*(s + 275837)/4 Suppose -q**2 + 4654780*q - 5416744212100 = 0. What is q? 2327390 Factor 4*c**3/7 - 16900*c**2/7 + 1681728*c/7 + 39998152368/7. 4*(c - 2766)**2*(c + 1307)/7 Suppose 2*x**4/9 - 1444*x**3 + 554854*x**2/9 + 593860*x/3 = 0. What is x? -3, 0, 46, 6455 Find p such that -3*p**3/8 - 3354*p**2 - 18944055*p/2 - 8124211602 = 0. -3666, -1612 Determine t so that 2*t**5/9 - 23270*t**4/9 - 14047778*t**3/9 - 2110218682*t**2/9 - 1358829184*t - 1125918720 = 0. -288, -5, -1, 12217 Solve 3*i**2 - 3829344*i + 287183925 = 0 for i. 75, 1276373 Determine x so that 4*x**5 - 2632*x**4 - 37388*x**3 - 163632*x**2 - 225648*x - 96768 = 0. -6, -1, 672 Find d, given that -2*d**4 + 34100*d**3 + 887952*d**2 = 0. -26, 0, 17076 Suppose 3*k**4/4 - 179247*k**3 - 358497*k**2 = 0. Calculate k. -2, 0, 238998 Factor -2*o**2/7 + 1220162*o/7 + 12201820/7. -2*(o - 610091)*(o + 10)/7 What is f in 2*f**3/9 + 32500*f**2/9 + 42351848*f/3 - 4533512144 = 0? -8274, 298 Suppose 56*r**5 - 2578*r**4 - 8196*r**3 + 2872*r**2 + 8140*r - 294 = 0. What is r? -3, -1, 1/28, 1, 49
What is the nearest to 3/5 in 0, 2/3, -0.2, 18? 2/3 Which is the nearest to 1/3? (a) 1.6 (b) 1 (c) 7 b What is the nearest to -0.2 in -0.4, 1, 0.2, 1/2? -0.4 What is the closest to 0.1 in 0.4, 2, -0.19? -0.19 What is the closest to -2/7 in 0.00881, 1/4, 1/3, -1? 0.00881 What is the closest to -2/3 in 1/2, 19, 9, 0? 0 What is the nearest to 1 in 0.4, 4, 0.8, 5? 0.8 Which is the closest to 93? (a) 4 (b) -0.4 (c) -0.5 a What is the closest to 0.1 in -0.09, 0.4, 0? 0 Which is the closest to 2/7? (a) 1 (b) 5 (c) -3 (d) 10 a Which is the closest to 0.1? (a) 2 (b) 30 (c) 6 a Which is the closest to 1? (a) -7 (b) -40/3 (c) 1/9 (d) 1/3 d Which is the nearest to 0? (a) 3.1 (b) 3 (c) 8 b Which is the nearest to 1? (a) -3 (b) -0.2 (c) 0.6 (d) 0.1 c What is the nearest to -1.1 in 0.1, -0.2, -7, 2/7? -0.2 Which is the closest to 0? (a) -3/5 (b) -1 (c) -6 (d) 1/4 d Which is the nearest to 2/7? (a) 330 (b) -2/7 (c) -2 b Which is the closest to -13/2? (a) 0.25 (b) 0.1 (c) -0.5 c Which is the nearest to -7? (a) 1 (b) -1 (c) -4/3 c What is the nearest to -63 in -3, 1/2, 5, 0.2? -3 Which is the nearest to -3? (a) 2 (b) -1/3 (c) -0.3 (d) 6 b What is the closest to -0.1 in -4, 0.06, -1/28, -0.1? -0.1 Which is the nearest to 2/9? (a) -0.05 (b) 1/10 (c) -4 (d) -2 b Which is the nearest to -0.19? (a) 1/7 (b) -0.4 (c) 20 (d) 0.3 b What is the nearest to -0.018 in 20, 0.2, -1/2? 0.2 What is the closest to 1 in 72, 1, -1? 1 What is the closest to -2/3 in 5, -2/13, 1.6, 0.4? -2/13 Which is the closest to 1/2? (a) 2 (b) 0.7 (c) -12/11 b Which is the closest to 0.5? (a) -17 (b) -5 (c) 0 (d) -0.4 c Which is the nearest to -2? (a) -3 (b) -10 (c) 1 (d) 2 a Which is the closest to -646? (a) 0.1 (b) 0.4 (c) -3 (d) 0.8 c Which is the nearest to 2/3? (a) 1 (b) 3 (c) 2 (d) 12 a Which is the nearest to -342? (a) 1/2 (b) 0.2 (c) 0.3 b Which is the nearest to 0.3? (a) 3 (b) 2 (c) -2/3 (d) 6 c What is the closest to 2/11 in -2/37, -0.14, -4? -2/37 What is the nearest to 2/9 in -1, -3/4, -2, 21? -3/4 Which is the closest to 0? (a) -3/2 (b) -1 (c) 10 b Which is the closest to 4? (a) 17/5 (b) -2/17 (c) 0 (d) -5/4 a Which is the closest to -66? (a) -6 (b) 3 (c) -0.16 (d) 2 a What is the closest to 0 in -84, -0.3, 5? -0.3 What is the nearest to -34 in 2/29, 2/9, 0.05? 0.05 What is the nearest to -0.03 in 3, -0.22, -3, -2? -0.22 Which is the nearest to -3? (a) 0.25 (b) 0.5 (c) 0.06 (d) -3 d Which is the nearest to -0.6? (a) 2 (b) 3 (c) -15/7 c Which is the nearest to 0.02? (a) 5 (b) -15 (c) 0.1 c Which is the closest to -5? (a) 1/24 (b) 3 (c) 1 (d) 0.2 a Which is the closest to -4? (a) 2/3 (b) 4/5 (c) 0.4 (d) -5 d Which is the nearest to 3/8? (a) 9 (b) 0.12 (c) -4 (d) -3 b What is the nearest to -3 in -5/3, -0.5, -1/4? -5/3 What is the nearest to 2 in -0.95, 0.5, 2/15? 0.5 Which is the closest to -4/21? (a) 0.2 (b) -0.6 (c) -0.02 c Which is the nearest to 0? (a) -37 (b) -14/9 (c) -0.4 (d) -2 c Which is the closest to 2/181? (a) 1 (b) -5 (c) -7 (d) -4 a What is the nearest to -1/4 in 2/13, 0, -4, -3/8? -3/8 What is the closest to -40 in -2/5, -0.7, -1/7, 0? -0.7 Which is the closest to 1? (a) -72 (b) -3 (c) -1 (d) -0.2 d Which is the nearest to 0? (a) -0.2 (b) -0.1 (c) 0.7 b What is the closest to -2/765 in -3, -0.06, -2/15? -0.06 What is the closest to 0 in 0, -2/3, 0.02, -2? 0 What is the nearest to -1/2 in 2/9, -573, -4? 2/9 Which is the nearest to -2/7? (a) -4 (b) -0.1 (c) -1/5 (d) 9/4 c What is the nearest to 0.2 in 1/5, 14, 5, -1/3? 1/5 What is the nearest to -3/2 in 2, 0.2, -3, -0.5? -0.5 Which is the closest to 0? (a) -0.01 (b) -4 (c) 5 (d) 1/3 a Which is the closest to -4? (a) 2 (b) 4 (c) -30 (d) 0 d What is the closest to -1/4 in -0.1, -15, -0.3, 0.4? -0.3 What is the nearest to -36/5 in 4/3, 0, -21? 0 What is the closest to 7 in 0.03, 0.1, -0.05, 0? 0.1 What is the nearest to -0.2 in 4, -0.037, -0.2, 3/10? -0.2 What is the closest to -1 in 1/4, -2/5, 15.74? -2/5 Which is the closest to 1? (a) -0.2 (b) -4 (c) 45 (d) 3 a Which is the nearest to 0.03? (a) 2/9 (b) 1/2 (c) -2 a What is the nearest to 0.17 in -1, 0.01, 1? 0.01 What is the closest to 2 in -4, 2, -0.03? 2 Which is the nearest to 0.1? (a) 0 (b) -1.7 (c) 4 a Which is the nearest to -1? (a) -1 (b) -6 (c) -0.2 (d) -4 a What is the closest to 22 in 0.04, 0.1, 3? 3 What is the nearest to 2 in -1/4, 1, 1/12? 1 What is the nearest to -9 in -4, 5, -1? -4 What is the nearest to -0.012 in 1, -25, -2? 1 Which is the closest to 0? (a) 0.049 (b) 0 (c) 9 b Which is the nearest to -0.1? (a) -2 (b) -0.1 (c) -0.8 (d) 2 b What is the nearest to 6 in 0, -14, -0.24? 0 Which is the closest to 0? (a) 4/3 (b) -1 (c) -52/5 (d) 2/11 d Which is the nearest to -4/5? (a) 5 (b) 1 (c) 1/2 c What is the nearest to -1 in -4, -0.2, 0, 4? -0.2 Which is the closest to 0.2? (a) -2/9 (b) 1 (c) 13 (d) -3 a What is the nearest to -3 in 4, 1/3, 1.1? 1/3 Which is the closest to 1? (a) -5 (b) -1 (c) -5/3 b What is the closest to 0.1 in 12, -0.2, 2/7, -1? 2/7 Which is the nearest to 0? (a) 216 (b) 2/5 (c) 4 b What is the closest to -17 in 4/3, -1, -4, 2/7? -4 What is the nearest to -2 in 0.07, 3, -0.2? -0.2 What is the closest to 0 in 0.1, 2, -819? 0.1 What is the nearest to -4 in -293, 2, 1/2? 1/2 Which is the nearest to 4? (a) 1/3 (b) -1/5 (c) -1 (d) -3/5 a Which is the nearest to -2? (a) 2/3 (b) -2/5 (c) -0.5 (d) 3 c What is the closest to 2/5 in -2, 2/7, -39, -4? 2/7 What is the nearest to -3 in 6, -2, 4? -2 What is the nearest to -1 in 1, 10/9, 5, -1/6? -1/6 What is the closest to 0.08 in 3, 5, 0.4, 3/7? 0.4 Which is the nearest to -0.2? (a) 0.2 (b) 3/7 (c) -1 (d) -2/15 d Which is the closest to -1? (a) -17 (b) 3/5 (c) -0.3 c What is the closest to -3/5 in 1/4, -3/5, -2/9, -4? -3/5 Which is the closest to 8? (a) 0 (b) 2/15 (c) -2 (d) 4 d What is the nearest to -0.1 in -5, 3, 25, 0.2? 0.2 What is the closest to -1 in -0.3, 1, 0, 9? -0.3 Which is the nearest to 0.078? (a) -5 (b) 1 (c) -0.4 (d) 0.1 d Which is the closest to 2? (a) -2 (b) 5 (c) -0.06 (d) -2/7 c What is the closest to -1 in -3, 0.3, -4.3, -1/2? -1/2 What is the nearest to -766 in 5, 4, 0.5, 3? 0.5 Which is the nearest to 0.1? (a) 0.07 (b) 2/3 (c) -0.5 (d) -2/17 a What is the nearest to 1 in -13/2, -1, 34? -1 Which is the closest to -2? (a) -1 (b) -2/5 (c) -0.2 a What is the closest to 0.1 in 10, -1, -1/8? -1/8 Which is the closest to 1/2? (a) -37 (b) 0.3 (c) -5 (d) -2/9 b Which is the nearest to 1? (a) -1 (b) 5/6 (c) 2 (d) -4 b Which is the nearest to 2/9? (a) -1 (b) 1 (c) -0.1 (d) -2 c Which is the nearest to -1/4? (a) -0.03 (b) 4 (c) -1/4 (d) -2/9 c What is the nearest to -0.1 in 2/5, 4, -0.5, -7/29? -7/29 What is the closest to 3 in 0.8, -6/5, -1/8, -0.3? 0.8 Which is the closest to 11? (a) -0.5 (b) 57 (c) -0.1 c Which is the closest to -1/4? (a) 29 (b) 1 (c) 0.1 (d) 4 c What is the closest to 29 in -1, 1/4, 0? 1/4 Which is the closest to -1? (a) 1/7 (b) -4/41 (c) 5 b Which is the closest to 39? (a) 3 (b) 17 (c) 3/4 b What is the closest to -45 in -0.3, 0.5, -3, -0.8? -3 Which is the nearest to 0? (a) 2/33 (b) 15/4 (c) 2/13 (d) 0.1 a Which is the nearest to 0? (a) -0.1 (b) 0.3 (c) -0.41 a What is the closest to -5 in 0, -5, 1? -5 Which is the closest to 2? (a) 4 (b) 0.042 (c) -0.04 b What is the nearest to -1/4 in -45, -1/14, 0.5? -1/14 What is the closest to 0.2 in 1/2, -4/3, 0.4? 0.4 What is the closest to 0 in -31, -2, -3? -2 Which is the nearest to -17? (a) -2/13 (b) 3/5 (c) 69 (d) -5 d What is the nearest to 2 in 1, 2.9, -1, 0? 2.9 What is the closest to -9 in 117, -0.1, -1? -1 What is the closest to -2/9 in 2/13, 0, 2/9? 0 What is the nearest to 0.1 in -1/3, -0.1, 0.4, 1/14? 1/14 What is the closest to -2/3 in -4, -28/5, -9/5? -9/5 What is the closest to 0 in -1/3, -3/4, 2, 1/6? 1/6 Which is the closest to 0? (a) -1/10 (b) -2/7 (c) 0.03 c Which is the closest to 3? (a) -5 (b) -2 (c) 4/7 c What is the closest to -0.1 in 2, -16/3, 3/2? 3/2 What is the closest to 1/2 in -2/5, -2/3, -1.4, -4/5? -2/5 What is the nearest to -1 in -2/9, -1/3, -0.2? -1/3 What is the nearest to -0.02 in -7, 4, 15? 4 What is the nearest to -1/3 in 1/5, 2, -2/7? -2/7 Which is the nearest to -3/8? (a) 4 (b) 0.2 (c) 2 (d) 0.1 d Which is the closest to 4.1? (a) 0.2 (b) 1 (c) -2 (d) 4 d What is the nearest to 0.2 in 1, 6, -0.02? -0.02 Which is the closest to -105? (a) 5 (b) -2/5 (c) -2/3 c
What is the third root of 654 to the nearest integer? 9 What is 49610 to the power of 1/2, to the nearest integer? 223 What is the cube root of 48980 to the nearest integer? 37 What is 9054 to the power of 1/6, to the nearest integer? 5 What is 3085 to the power of 1/2, to the nearest integer? 56 What is 1260 to the power of 1/9, to the nearest integer? 2 What is 1232 to the power of 1/8, to the nearest integer? 2 What is 89732 to the power of 1/5, to the nearest integer? 10 What is the fourth root of 2249 to the nearest integer? 7 What is the sixth root of 6753 to the nearest integer? 4 What is the cube root of 21936 to the nearest integer? 28 What is the ninth root of 14974 to the nearest integer? 3 What is the fifth root of 4854 to the nearest integer? 5 What is the square root of 3422 to the nearest integer? 58 What is 320 to the power of 1/9, to the nearest integer? 2 What is 2120 to the power of 1/2, to the nearest integer? 46 What is 23467 to the power of 1/5, to the nearest integer? 7 What is 606 to the power of 1/8, to the nearest integer? 2 What is 31 to the power of 1/8, to the nearest integer? 2 What is the ninth root of 186023 to the nearest integer? 4 What is the cube root of 32223 to the nearest integer? 32 What is the third root of 29627 to the nearest integer? 31 What is the third root of 684 to the nearest integer? 9 What is the square root of 4099 to the nearest integer? 64 What is the sixth root of 11344 to the nearest integer? 5 What is 20573 to the power of 1/9, to the nearest integer? 3 What is the cube root of 4122 to the nearest integer? 16 What is 6399 to the power of 1/8, to the nearest integer? 3 What is the third root of 8924 to the nearest integer? 21 What is the sixth root of 11110 to the nearest integer? 5 What is 1985 to the power of 1/3, to the nearest integer? 13 What is 1035 to the power of 1/7, to the nearest integer? 3 What is the sixth root of 6826 to the nearest integer? 4 What is 8560 to the power of 1/2, to the nearest integer? 93 What is the seventh root of 1845 to the nearest integer? 3 What is 42278 to the power of 1/2, to the nearest integer? 206 What is the fourth root of 903 to the nearest integer? 5 What is the cube root of 2384 to the nearest integer? 13 What is the cube root of 123540 to the nearest integer? 50 What is the fourth root of 7136 to the nearest integer? 9 What is 4324 to the power of 1/2, to the nearest integer? 66 What is the tenth root of 136 to the nearest integer? 2 What is the cube root of 516 to the nearest integer? 8 What is 135780 to the power of 1/7, to the nearest integer? 5 What is 83618 to the power of 1/7, to the nearest integer? 5 What is 104 to the power of 1/2, to the nearest integer? 10 What is the third root of 2640 to the nearest integer? 14 What is 40226 to the power of 1/2, to the nearest integer? 201 What is the ninth root of 61480 to the nearest integer? 3 What is the square root of 39187 to the nearest integer? 198 What is the third root of 42672 to the nearest integer? 35 What is 761 to the power of 1/7, to the nearest integer? 3 What is the square root of 1292 to the nearest integer? 36 What is 59395 to the power of 1/3, to the nearest integer? 39 What is the cube root of 1125 to the nearest integer? 10 What is the sixth root of 808 to the nearest integer? 3 What is the square root of 890 to the nearest integer? 30 What is 14122 to the power of 1/4, to the nearest integer? 11 What is 5343 to the power of 1/8, to the nearest integer? 3 What is the square root of 15916 to the nearest integer? 126 What is the tenth root of 203 to the nearest integer? 2 What is the fourth root of 152229 to the nearest integer? 20 What is the square root of 3174 to the nearest integer? 56 What is the ninth root of 39526 to the nearest integer? 3 What is 1415 to the power of 1/9, to the nearest integer? 2 What is 2213 to the power of 1/5, to the nearest integer? 5 What is the cube root of 17998 to the nearest integer? 26 What is 19431 to the power of 1/5, to the nearest integer? 7 What is 12484 to the power of 1/3, to the nearest integer? 23 What is 1299 to the power of 1/3, to the nearest integer? 11 What is the fifth root of 59353 to the nearest integer? 9 What is the ninth root of 3701 to the nearest integer? 2 What is 7996 to the power of 1/7, to the nearest integer? 4 What is the third root of 139973 to the nearest integer? 52 What is the fourth root of 3170 to the nearest integer? 8 What is the fourth root of 870 to the nearest integer? 5 What is the fifth root of 1651 to the nearest integer? 4 What is the cube root of 96916 to the nearest integer? 46 What is the third root of 12301 to the nearest integer? 23 What is 326 to the power of 1/3, to the nearest integer? 7 What is 14899 to the power of 1/5, to the nearest integer? 7 What is 6360 to the power of 1/3, to the nearest integer? 19 What is the square root of 11198 to the nearest integer? 106 What is the square root of 20741 to the nearest integer? 144 What is the third root of 9335 to the nearest integer? 21 What is 4590 to the power of 1/2, to the nearest integer? 68 What is 849 to the power of 1/3, to the nearest integer? 9 What is the cube root of 6312 to the nearest integer? 18 What is the fourth root of 6002 to the nearest integer? 9 What is 563 to the power of 1/8, to the nearest integer? 2 What is the square root of 79944 to the nearest integer? 283 What is the eighth root of 30745 to the nearest integer? 4 What is the tenth root of 1030 to the nearest integer? 2 What is 1477 to the power of 1/3, to the nearest integer? 11 What is 1676 to the power of 1/3, to the nearest integer? 12 What is the third root of 65022 to the nearest integer? 40 What is the ninth root of 10774 to the nearest integer? 3 What is 168 to the power of 1/4, to the nearest integer? 4 What is the fourth root of 9261 to the nearest integer? 10 What is the ninth root of 134977 to the nearest integer? 4 What is the eighth root of 1364 to the nearest integer? 2 What is the cube root of 10637 to the nearest integer? 22 What is 829 to the power of 1/7, to the nearest integer? 3 What is 32406 to the power of 1/9, to the nearest integer? 3 What is the cube root of 3358 to the nearest integer? 15 What is the cube root of 696 to the nearest integer? 9 What is the fifth root of 14869 to the nearest integer? 7 What is 14020 to the power of 1/2, to the nearest integer? 118 What is the square root of 1578 to the nearest integer? 40 What is 61854 to the power of 1/3, to the nearest integer? 40 What is the square root of 18586 to the nearest integer? 136 What is 3157 to the power of 1/7, to the nearest integer? 3 What is the sixth root of 1126 to the nearest integer? 3 What is 548 to the power of 1/2, to the nearest integer? 23 What is the sixth root of 31375 to the nearest integer? 6 What is 3059 to the power of 1/2, to the nearest integer? 55 What is the third root of 27607 to the nearest integer? 30 What is 896 to the power of 1/8, to the nearest integer? 2 What is the cube root of 29925 to the nearest integer? 31 What is 84153 to the power of 1/2, to the nearest integer? 290 What is 383 to the power of 1/8, to the nearest integer? 2 What is the square root of 1672 to the nearest integer? 41 What is the cube root of 6055 to the nearest integer? 18 What is the square root of 2989 to the nearest integer? 55 What is the square root of 878 to the nearest integer? 30 What is the square root of 170 to the nearest integer? 13 What is the fourth root of 75338 to the nearest integer? 17 What is the cube root of 19005 to the nearest integer? 27 What is 26611 to the power of 1/3, to the nearest integer? 30 What is the square root of 7473 to the nearest integer? 86 What is the fifth root of 1303 to the nearest integer? 4 What is the square root of 55993 to the nearest integer? 237 What is 51605 to the power of 1/2, to the nearest integer? 227 What is the tenth root of 16628 to the nearest integer? 3 What is the third root of 650 to the nearest integer? 9 What is the third root of 1258 to the nearest integer? 11 What is the square root of 979 to the nearest integer? 31 What is the third root of 21899 to the nearest integer? 28 What is the ninth root of 16739 to the nearest integer? 3 What is the square root of 312 to the nearest integer? 18 What is the cube root of 277 to the nearest integer? 7 What is 3534 to the power of 1/8, to the nearest integer? 3 What is the square root of 20797 to the nearest integer? 144 What is the square root of 15420 to the nearest integer? 124
Suppose 129*s - 1113 = 108*s. Calculate the remainder when 185 is divided by s. 26 Suppose -2*p - 100 = 3*v, p + 188 = -5*v + 3*p. Let m = v - -66. What is the remainder when 118 is divided by m? 28 Let g be (-4 + 2)/((-1)/(-4)). Let l be (-4)/g + (-27)/(-6). What is the remainder when 4*l + (5 - 8) is divided by 10? 7 Suppose -182 + 35 = -7*i. What is the remainder when 34 is divided by 61/7 + 69/i + -3? 7 Let h(t) = -49*t - 3. Suppose 5*d = -5*o - 30, o + 0*o + 18 = -5*d. What is the remainder when h(d) is divided by 37? 33 Let k(l) = -5*l - 1. Let p be k(-3). Let w = -12 - p. Calculate the remainder when (-3)/15 - w/5 is divided by 4. 1 Suppose 0 = 3*b - 6, 2*b - 8 - 224 = -3*x. Suppose 2*d - 24 - 22 = -4*g, -5*d = -g + 6. What is the remainder when x is divided by g? 10 Let p = 33 + -238. Let y be (p/20)/(2/(-8)). Suppose -5*o + 34 + y = 0. Calculate the remainder when o is divided by 4. 3 Let y(h) be the third derivative of h**5/60 + h**4/12 + 5*h**3/6 - 42*h**2. Let x be 3/4*(1 + -5). What is the remainder when 39 is divided by y(x)? 7 Let u(m) be the first derivative of 3*m**2/2 - 8*m + 37. What is the remainder when 76 is divided by u(16)? 36 Let c = 34 + -24. Let w = -9 + c. What is the remainder when 4 is divided by (1 + -2)*(-3 + w)? 0 Suppose 4*h + 3*f - 51 = 0, 20 = -5*h - f + 70. Suppose 0 = -7*b + 187 - 12. Calculate the remainder when b is divided by h. 7 Let h = 6 + -3. Let f be ((-2)/2)/((-3)/6). Suppose f*y - 95 = -h*y. What is the remainder when 36 is divided by y? 17 Let y(q) = 20*q**2 - 1. Suppose 2*z + 3*v + 0 = 2, 4 = 4*z + 5*v. Let k be y(z). Suppose -x = k - 54. What is the remainder when x is divided by 9? 8 Let a(h) = -h**2 + 24*h - 125. Calculate the remainder when 25 is divided by a(8). 1 Let d be ((8/2 - 1) + -3)/(-2). Suppose 3 = 5*x - 22. Suppose x*l - 306 - 19 = d. Calculate the remainder when l is divided by 17. 14 Let c = -36 - -116. Suppose 3*s + 3*y - 120 = 0, -5*s - 3*y + c = -110. Suppose 30 + 19 = 4*z - j, 0 = j + 1. What is the remainder when s is divided by z? 11 Suppose 5*n - 94 = -z, -24*n + 19*n = -4*z - 74. Calculate the remainder when 58 is divided by n. 4 Suppose 5*x - 29 = -y + 9, -5*y = x - 238. Let c = y + 2. Suppose -k - 2*v + 18 = -3*v, 2*v + c = 3*k. Calculate the remainder when 39 is divided by k. 11 Let z(j) = 104*j + 11. Calculate the remainder when z(1) is divided by 40. 35 Let o be 0/(-3*2/18*3). Suppose 8*v + 3 - 115 = o. Calculate the remainder when 107 is divided by v. 9 Let x(j) = j**2 - 2*j + 3. Let c be x(2). Suppose -2*u + 4*t + 243 = u, c*u + 4*t = 243. What is the remainder when u is divided by 44? 37 Calculate the remainder when 291 is divided by (-213)/(-7 - 12/(-3)). 7 Suppose -c - 2*y = -63, -52*c = -50*c + 3*y - 125. Calculate the remainder when c is divided by 41. 20 Suppose -4*a + 12 = -0*a - 4*s, 0 = 4*a - 3*s - 14. Suppose 5*d = -a*n + 100, -d - 158 = -5*n - 52. Calculate the remainder when 40 is divided by n. 19 Let g = 9 + -4. Suppose 0 = g*i - 4*i - 12. What is the remainder when 31 is divided by i? 7 Suppose -5*k + 18 = -17. Suppose 45 = k*y - 60. What is the remainder when 42 is divided by y? 12 Suppose -9*n - 44 + 233 = 0. Suppose -2 + 11 = 3*x. Let a = n - x. Calculate the remainder when 71 is divided by a. 17 Suppose 263 = 17*s - 264. Calculate the remainder when 90 is divided by s. 28 Suppose -21*n + 16*n - 25 = 0, -c + 29 = 5*n. What is the remainder when c is divided by 7? 5 Let r be (-2)/(-7) + 626/14. Let p be (-3 - 3) + 3 + 3. Suppose 4*w - 9*w + r = p. Calculate the remainder when 26 is divided by w. 8 Let v(o) = 6*o**2 + 8*o + 1. Let c = 48 + -23. What is the remainder when c is divided by v(-2)? 7 What is the remainder when 128 is divided by 2/4 + ((-765)/(-6))/5? 24 Calculate the remainder when 35 is divided by (84/(-147) + 109/7)*1. 5 Suppose -3*m + 6*m - 3*p = 21, -3*p - 5 = -m. Let z(o) = 13*o - 13. Let j be z(5). Calculate the remainder when (j/8)/((-4)/(-8)) is divided by m. 5 Let z be (36/54)/((-2)/33). Let c = z + 41. What is the remainder when c is divided by 4? 2 What is the remainder when (-58)/(-493) - (-2157)/17 is divided by 10? 7 Let k = 750 + -739. Calculate the remainder when 71 is divided by k. 5 Let u(z) = -54*z - 3. Calculate the remainder when u(-3) is divided by 18. 15 Let o = 575 + -547. What is the remainder when 79 is divided by o? 23 Let c(b) = -b**3 - 5*b**2 + 4*b + 7. Calculate the remainder when 77 is divided by c(-6). 1 Suppose -m = -o - 4, -16*m + 17*m - 4*o = 4. Calculate the remainder when 34 is divided by m. 2 Let m = -1629 - -1631. What is the remainder when ((-4)/6)/((-2)/9) is divided by m? 1 Let a = 249 + -247. Let f(w) = w**2 + 12. Let b be f(0). Let g = b + a. Calculate the remainder when g is divided by 9. 5 Let q(u) = 3*u + 43. Let k be q(-6). Suppose 0 = -3*z + 8 + 7, -k = -5*t + 2*z. Calculate the remainder when 10 is divided by t. 3 Let i(q) = -q + 20. What is the remainder when 22 + (-4 - (-3)/3) is divided by i(9)? 8 Let c(i) = i**3 - i**2 + 1. Let r be c(3). Let a = 21 - r. Suppose -a*q - 3*q = -4*b + 58, b = 3*q + 18. What is the remainder when 34 is divided by b? 10 Let v = 36 - 30. Calculate the remainder when 1 is divided by 2/v*(-3 - -6). 0 Let a(o) = o**3 + 11*o**2 + 7*o - 6. Calculate the remainder when 1674/12*2/3 is divided by a(-10). 21 Let n = 102 - 95. What is the remainder when 20 is divided by n? 6 Suppose x = 1, 6*r - x + 4 = 9*r. Suppose -56 - 20 = -4*w. Suppose k + 2*k + 8 = -z, -4*z = -5*k - w. Calculate the remainder when r is divided by z. 0 Let f(i) = -9 + 3 - 3 + 16*i + 2*i**2. Let u = 1 + 14. Calculate the remainder when u is divided by f(-9). 6 Suppose 8*t + 43 + 5 = 0. Calculate the remainder when 65 is divided by (25 + -22)*(-34)/t. 14 Let l(i) = i**3 + i**2 + 2*i + 5. Let s be l(3). Suppose 4*n - 178 = -3*a, a - 10 - s = n. What is the remainder when a is divided by 30? 28 Suppose 0 = 2*x + 2*h - 16, -233*h + 42 = 3*x - 236*h. Let i(b) = 5*b - 9. Calculate the remainder when i(6) is divided by x. 10 Suppose -3*k = -5*n - 5, -2*k + 4*n + 11 = -k. Let j be (-5)/1 + (-4 - k). Calculate the remainder when 96/(-9)*36/j is divided by 33. 30 Suppose 223 = -52*c + 9531. What is the remainder when c is divided by 25? 4 Suppose 2*v + 3*v - 330 = -5*t, 0 = -2*v + t + 117. What is the remainder when v is divided by 26? 9 Suppose 3*t = -15, -t - 77 = -3*q + 6. What is the remainder when 113 is divided by q? 9 Let j(t) = 2*t**2 + 6*t + 3. Let a = 669 - 641. What is the remainder when a is divided by j(-4)? 6 Let g(o) = -81*o - 55. Calculate the remainder when g(-3) is divided by 21. 20 Let l(q) = -q**3 + 5*q**2 - 5*q + 8. Calculate the remainder when 86 is divided by l(4). 2 Let t(s) = 5*s**2 + 2*s - 1. Let x = 305 + -181. Suppose r + 0*r + 2*z - 52 = 0, 2*z + x = 3*r. What is the remainder when r is divided by t(-2)? 14 Suppose -5*l + 17 + 3 = 0. Calculate the remainder when -1 + l/4 + -3 + 39 is divided by 20. 16 Calculate the remainder when ((-9)/2 - 6/(-4)) + 207 is divided by 16. 12 Let g = -33 - -36. What is the remainder when g is divided by 18/10 + (-1)/(-5)? 1 Let p(k) be the second derivative of 4*k**3/3 + 5*k**2/2 - 24*k. What is the remainder when p(4) is divided by 11? 4 Let t(r) = r**2 - 2*r - 96. Let g = -68 + 185. What is the remainder when g is divided by t(-10)? 21 Let w(u) = -3*u + 30. Calculate the remainder when ((-35)/21)/(2/(-30)) is divided by w(7). 7 Suppose -5*t - 25 + 100 = 0. What is the remainder when 86 is divided by t? 11 Suppose 3 = 3*f, -4*x + f + 11 = -4*f. Suppose 4*z - x = 3*z. What is the remainder when 18 is divided by z? 2 Let a(p) = -p**3 + 5*p**2 + 2*p + 1. Calculate the remainder when a(-3) is divided by 6. 1 Suppose 0 = 7*m - 4*m + 5*p - 370, -2*p - 627 = -5*m. What is the remainder when m is divided by 33? 26 Suppose 2*c = 3*k + 49, 6*c = 2*c - k + 77. Suppose 4*s = m + 227, 3*m = 2*s - 94 - 7. What is the remainder when s is divided by c? 18 Suppose -3*s = -2*k + 1911, 5*k - 4767 = -39*s + 43*s. Calculate the remainder when k is divided by 119. 118 Suppose 3 = 2*i - 3. Suppose -i*j + 7*j = 16. Suppose -j*p = 4*b - 120, 2*b - 46 = -5*p + 17. Calculate the remainder when b is divided by 8. 5 Suppose 19*j - 21*j = 0. Suppose 5*f - 43 = -t, j = 5*t + 5*f - 173 + 58. What is the remainder when 70 is divided by t? 16 Let v be 2/4*(63 - 21). Suppose -27 = -8*a + v. Calculate the remainder when 21 is divided by a. 3
Let b(h) = -h**2 + 38*h - 168. Let i be b(33). Find the common denominator of -131/6 and i/(-15)*(-11990)/(-132). 6 Let n(i) = -i**2 - 43*i - 1. Let z be n(26). Let p = 3507/2 + z. Let u = 1/3330 + 81577/26640. What is the common denominator of p and u? 16 Suppose -5*h = -2*i - 146, -3 + 21 = h + i. Calculate the least common multiple of h and 670. 8710 Let c = -5042/33 + 307/2. What is the common denominator of c and -14*51/(-7140)*-97? 330 Let k(p) = -p**3 + 15*p**2 + 59*p + 29. Calculate the smallest common multiple of 56 and k(18). 952 What is the common denominator of (-12)/369*(13 + 330/(-48)) and 25/12? 492 Let w = -4132 + 4232. What is the smallest common multiple of w and 56? 1400 Let n = -8905629/505 - -17635. Calculate the common denominator of -117/40 and n. 4040 Suppose -47*r - 23*r = 2871 - 13371. What is the lowest common multiple of r and 10 - (-4 - -8 - 0)? 150 What is the common denominator of 50/(-15)*6/(-364) and (-967)/420*1 - (858/(-110))/13? 1092 Suppose 5*o + 176 = 4*n + 676, -308 = -3*o + 4*n. What is the smallest common multiple of 1680 and o? 3360 Let k = -169 - -103. Let f be (16/(-24))/(-1*(-4)/k). Suppose -7*x - 24 = -f*x. Calculate the smallest common multiple of 24 and x. 24 Let a(q) = -10*q**2 + 71*q + 1. Suppose -m + 22 = 5*k, -33*k + 29*k + 12 = 0. Calculate the least common multiple of a(m) and 4. 8 Let j = -719 + 743. Calculate the lowest common multiple of 15 and j. 120 Let u be ((-5)/4)/(3*(-6)/13392). What is the common denominator of (u/20)/(16 - -2) and -83/6? 12 Calculate the common denominator of 57/148 and 665/224*24/10. 296 Let f = 446087 - 446043. Calculate the lowest common multiple of f and 26/6 + 1/(-3). 44 Suppose -4 = -3*y - 10, -5*p - 5*y = 20. Let i(q) = 3*q**2 + 7*q + 13. Calculate the lowest common multiple of 77 and i(p). 77 Let t(p) = -p**3 + 4*p**2 - 5. Let q be t(-2). Let n = 0 + 15. Suppose -q*y = -n*y - 224. What is the lowest common multiple of y and 14? 56 Find the common denominator of 219/(-3600) - (-525)/3500 and -97/22. 13200 Let w(k) = 5*k - 1. Let g be w(-3). What is the common denominator of ((-4)/g*-9)/(100/26) and 113/60? 600 Suppose -6 = 3*r, -3*f + 0*f - 2*r = 544. Find the common denominator of 8/(-5)*56/24 and 2/9 + 124/f + 5. 15 Let h = 102/343 - 24002/16121. Let d = -919/846 + h. Let u = d + 1. Calculate the common denominator of 121/20 and u. 180 Suppose -r - 3 = 2*r - 2*q, 0 = 3*r - q. Let t be (10/276)/r*(-82649)/(-210). Let c = t - 2/207. Find the common denominator of c and -113/60. 60 Suppose -349*i = -306*i - 688. Calculate the least common multiple of i and 788. 3152 Let d = 409791/40 - 10245. Find the common denominator of 138/(-16) - 1/(-2) and d. 40 Let m(d) = -d**3 - d**2 - 2*d + 15. Let v be m(3). Calculate the common denominator of -12/11 and (387/v)/((-42)/18). 77 Suppose 0 = 33*c - 7*c - 631 - 513. What is the lowest common multiple of c and 250? 5500 Let g(n) = 249*n**2 - 429*n - 2. Calculate the lowest common multiple of 32 and g(2). 544 Let k be 76/(-456) - (-2)/(366/23). Let a = k - -833/976. Calculate the common denominator of 87/100 and a. 400 Let l = -16028 + 16037. What is the lowest common multiple of l and 2364? 7092 Let a(p) = -p**3 - p**2 + p + 169. Let z be a(0). Calculate the common denominator of -4 - (-303)/66*1 and -4 - (-1 + z/(-22)). 22 Let k = 2/7597 + -995303/364656. Calculate the common denominator of 194/216 - 6/8 and k. 432 Let i = -41023 - -19771. Let c be (-12)/(-10)*29841/i. Let o = 58/55 + c. What is the common denominator of o and 34? 46 Let u(d) be the first derivative of 2*d**3/3 - 19*d**2/2 + 13*d + 23. Calculate the least common multiple of u(9) and 7. 28 Let u be 10826/20 + 1/5. Let j = u - 578. What is the common denominator of (-3)/18 - ((-47)/(-24) + -3) and j? 8 Suppose i + o - 48 = 0, 2*o = -4*i + 7*i - 129. Calculate the least common multiple of 36 and i. 180 Suppose 0 = 2*u + 3*p - 154, p = 2*u - p - 154. Let t(b) = b**3 + 12*b**2 + 21*b - 40. What is the least common multiple of u and t(-9)? 154 Suppose 0 = -f + 20. Suppose -7 = -l - 3. Suppose -60 = -l*w - 5*t + t, -2*w + 45 = -t. What is the lowest common multiple of w and f? 20 Let p(r) = -4*r - 28. Let n be p(-8). Suppose b = -w + 15, -n*b = -0*w - 2*w - 30. Calculate the lowest common multiple of b and 78. 390 Let y = -1115 + 3335/3. Let i = 333869/24 - 13915. Find the common denominator of i and y. 24 Suppose 2*n = 4*i + 688, -3*i - n = -4*n + 519. Let m = i - -216. What is the smallest common multiple of 30 and m? 90 Let u = -22434 - -1345937/60. What is the common denominator of u and 1344/168 - 163/6? 60 Let u be ((-23)/2)/((-1)/2). Suppose -z - u = -3. Let s = 53 + z. Calculate the lowest common multiple of 6 and s. 66 Let s = 40/31 + -1467/248. Calculate the common denominator of 22/20*(103 - 100) and s. 40 Suppose -93 = -6*q - 87. Calculate the lowest common multiple of (41 - -2 - q) + 0/43 and 63. 126 Let t = -13137 - -13182. What is the least common multiple of 318 and t? 4770 Let c = -29 - -49. Let l(u) = u**3 + 6*u**2 - u + 2. Let g(n) = 15*n + 88. Let j be g(-6). What is the lowest common multiple of l(j) and c? 20 Suppose -3*y = -0*y. Suppose k + 12 - 4 = y. Calculate the smallest common multiple of 48 and (8 - 4)/((-2)/k). 48 Let a = -1181153/40 - -29542. Let h = 71/8 - a. Calculate the common denominator of h and (-5)/90*299 + 9. 90 Let u(s) = 2*s**2 + 5*s - 2. Let h be u(-4). Suppose z = 4*k + 16 + h, 2*k - 50 = -3*z. Calculate the smallest common multiple of 14 and 24/9*z/4. 84 Let r = 1856212 + -1403297605/756. Let h = -67/28 - r. Find the common denominator of (-339)/54 + 3 - -4 and h. 54 Suppose 7*z - 6 = 9*z. Let d be 107 + (-15)/(-3) - (-1 - z). Suppose -g + 68 = g - 2*b, d = 3*g - b. Calculate the smallest common multiple of 16 and g. 304 Let h be 220636/16*8/(-12). Let l = h + 9214. Find the common denominator of 115/66 and l. 66 Let d(q) = -2*q**3 - 15*q**2 + 4*q - 40. Let z be d(-8). Calculate the least common multiple of 39 and (-218)/z - (-1)/(-4). 351 Suppose -4*t + 384 = -28*t. Calculate the common denominator of -36/11 and t/(-80) - (-217)/40. 88 Suppose 4*o + 876 = 4*d, 3*o - 128 = -d + 79. Calculate the smallest common multiple of d and 18. 216 Let v = 670771739/1560 - 429982. Find the common denominator of v and 68/585. 4680 Suppose 0 = -4*m - m - 4*a + 178, 4*m = a + 155. Suppose 0 = 4*b - 2*u - m, 15*b + u = 16*b - 10. What is the lowest common multiple of b and 1? 9 Let y(l) = 6*l - 65. Let a be y(-18). Let h = a + 245. What is the lowest common multiple of h and 4? 72 Let j = 3548 + 818. Let f = 87299/20 - j. Find the common denominator of f and -95/688. 3440 Let g = 11677/1504 + -478/47. What is the common denominator of 12/(-3) + 215*(-18)/1800 and g? 160 Suppose 0 = 5*b - 36608 + 6278. Let s = 95369662/15 + -6351907. Let h = b - s. Calculate the common denominator of h and -53/9. 45 Let u(c) = -81*c - 402. Calculate the lowest common multiple of 49 and u(-5). 147 Calculate the common denominator of 7/22 and (-982)/1752 + (3/(-5))/(42/(-35)). 9636 What is the smallest common multiple of 72 and (21558/20 - (-2)/(30/9))*2? 51768 Let i(c) = -2*c + 2. Let k be i(-2). Let d(z) = -66*z + 521. Let n be d(8). What is the lowest common multiple of (32/k)/(-2 + n/(-3)) and 36? 144 Let x = 130 + -127. Suppose -9*k = -8*k + x*q - 39, 2*q = 8. What is the least common multiple of 24 and k? 216 Let y = -240 + 235. What is the common denominator of ((-13)/(-308))/(6/(-360)*y) and -18/77? 77 Let b be ((-4)/11)/2 + 184/44. Suppose -n = -b, 3*c - 4*n - 4 = 10. Calculate the smallest common multiple of 416 and c. 2080 Calculate the common denominator of (-6 - -5) + 9876/2016 + (-3)/(-24) and 67/756. 756 Let l = -10096 - -605873/60. What is the common denominator of l and 5/1728? 8640 Let c = 2 + 0. Suppose 0 = 4*d - 3*d - 302. Suppose -5*a - d = -472. What is the smallest common multiple of c and a? 34 Suppose -7*f + 2*f + 24 + 61 = 0. Calculate the lowest common multiple of f and 156. 2652 Suppose -3*i = 3 + 9, 2*j + 2*i = 6. Suppose -j*s = -10*s - 24. What is the least common multiple of 1*(s/(-12))/1*3 and 6? 6 Suppose 40 = 372*y - 353*y - 36. Let z be 2*(-267)/(-2)*1. Suppose 6*c + 3*s - z = c, -220 = -4*c - y*s. What is the lowest common multiple of 6 and c? 102 Let w = -43429/952 + 774/17. What is the common denominator of w and -155/504? 504 Suppose 21 = 3*l, -1355 = -5*d + 17*l - 22*l. What is the smallest common multiple of 152 and d? 5016
Simplify -3 + sqrt(325)*1 + -4*(sqrt(13)*-1)**2 + -2. -57 + 5*sqrt(13) Simplify (3 + sqrt(17)*-2 + 5 + (sqrt(272) - sqrt(17)) - (-5 + (2*sqrt(272) - sqrt(272))))**2. -78*sqrt(17) + 322 Simplify (-6*3*sqrt(220)/sqrt(4))/(sqrt(1620)*2) + 1. -sqrt(11)/2 + 1 Simplify (-3*(sqrt(1100) - (1 + sqrt(1100) + 0)) + 0)**2*6. 54 Simplify 3*(sqrt(475) - (sqrt(475) + (sqrt(475) + 0)**2))*6*-5. 42750 Simplify (((sqrt(104) - sqrt(104)*3)*-2 + sqrt(104))*-4)/(sqrt(72) - (sqrt(72) + (-1*((sqrt(72) - (sqrt(72)*3 + sqrt(72))) + sqrt(72)) - sqrt(72)))). 20*sqrt(13)/3 Simplify (-1 + sqrt(1584) + sqrt(44)/sqrt(4)*-6 + sqrt(44) + sqrt(176)/sqrt(4))**2. -20*sqrt(11) + 1101 Simplify ((-5*(sqrt(360) + sqrt(360)*-2 - sqrt(360)))/((sqrt(80)*3)/sqrt(10)))**2 + -1. 499 Simplify ((-1*(sqrt(110) + -3*sqrt(110)*-2 + sqrt(110)))/(sqrt(60)/sqrt(486)*3))**2. 6336 Simplify (1 + (1*sqrt(1539))**2 + (sqrt(76)/sqrt(4))**2 + -5)*-3. -4662 Simplify (((sqrt(72)/sqrt(3) - sqrt(24))*1 - sqrt(24)) + sqrt(24))/(sqrt(12) + -3*sqrt(300))*3. 0 Simplify (-6*-1*sqrt(132))/sqrt(12) + -1 - (1 + sqrt(11) + -3 + (sqrt(11) - ((sqrt(22)/sqrt(2)*-1)**2 - sqrt(11)))). 3*sqrt(11) + 12 Simplify -5 + 1*(2*sqrt(539) + -1 + sqrt(539))**2*4. -168*sqrt(11) + 19403 Simplify (6*((-2 + sqrt(891))*5*-4 + 2))**2. -544320*sqrt(11) + 12893904 Simplify (1*(sqrt(95) - (sqrt(95)*1 + sqrt(95) + sqrt(95))))/(sqrt(320)*1) - (((sqrt(1539) + 0)**2 + sqrt(1539))*4 + -1). -6155 - 145*sqrt(19)/4 Simplify -3*(-2*(2*sqrt(7) - sqrt(7))**2*-4 - (sqrt(70) - (sqrt(70) + sqrt(70)*-1)*6 - sqrt(70))/sqrt(10)). -168 Simplify (-2*(sqrt(102) - (sqrt(102) - sqrt(102)*3) - sqrt(102)) + sqrt(102))/((sqrt(144)/sqrt(8))/sqrt(3)). -3*sqrt(17) Simplify ((2*((sqrt(91) - (-2*sqrt(91) - sqrt(91) - sqrt(91))) + sqrt(91)) + sqrt(91))/(sqrt(63)*2) + 2)**2. 26*sqrt(13)/3 + 2341/36 Simplify (sqrt(187) - sqrt(187)*2*2)/(sqrt(11) + (sqrt(22) + sqrt(550))/sqrt(2))*-4. 12*sqrt(17)/7 Simplify (-6*sqrt(243))**2 + -5 + -1*(-2 + sqrt(192)). -8*sqrt(3) + 8745 Simplify (sqrt(252)*1)/((sqrt(36) - sqrt(4))*2) - (2 + (sqrt(252) + sqrt(252) + 1)**2 + 5). -1016 - 93*sqrt(7)/4 Simplify (-3*-2*sqrt(66) - sqrt(66))/sqrt(6) + (sqrt(539) + 1*(sqrt(539) - (sqrt(539) - -1*sqrt(539))) - sqrt(539))**2 + 1. 5*sqrt(11) + 540 Simplify 4*(-2 + sqrt(3) + -5 + 3 - (sqrt(192)/sqrt(2))/sqrt(8))**2. 32*sqrt(3) + 76 Simplify (3*1*sqrt(75)*6)**2*2*-1. -48600 Simplify (-6*1*sqrt(102)*-2)/(sqrt(18)/(sqrt(243)*4)). 432*sqrt(17) Simplify 6*(sqrt(19) + (sqrt(475) - (sqrt(475) + (sqrt(475) - (-3 + sqrt(475))))) + sqrt(19) + sqrt(76)/sqrt(4)*-3 + -1)**2. 48*sqrt(19) + 210 Simplify 1 + (2*-3*(sqrt(1053) + (sqrt(1053) + 1 + sqrt(1053))*-2) + -5)**2. 2268*sqrt(13) + 341222 Simplify (3*(1 + sqrt(300)) - (sqrt(300) + (sqrt(300) - (-1 + (sqrt(300) - (0 + sqrt(300))))))**2) + (4 + 1*sqrt(300) + (-1 + sqrt(300) - sqrt(300))*-3)**2. -849 + 130*sqrt(3) Simplify (sqrt(84) + 1*(sqrt(84) + -2*sqrt(84)))/sqrt(12) + -2 + ((sqrt(98)/sqrt(2))/sqrt(7))**2. 5 Simplify ((sqrt(204) + -2*sqrt(204)*-6 + sqrt(204) + -4*-2*sqrt(204) + sqrt(204))/(sqrt(60)/(2*(sqrt(5) - (sqrt(45) - sqrt(5))))))**2. 35972 Simplify 6*5*(sqrt(80) - (sqrt(80) - (2*sqrt(80) - sqrt(80) - sqrt(80)))*3)/sqrt(10). -120*sqrt(2) Simplify -3*(1 + sqrt(77)/sqrt(1792)). -3 - 3*sqrt(11)/16 Simplify ((sqrt(130)*3 - sqrt(130))*-3)/(sqrt(60)/(sqrt(96) - sqrt(6))). -18*sqrt(13) Simplify ((sqrt(468) - (sqrt(468)*-2 - sqrt(468))*-3)/sqrt(9))**2*1. 3328 Simplify (sqrt(228)/(sqrt(12)*2) + -1 + (sqrt(190)*-4)/sqrt(10) + 4)**2. -21*sqrt(19) + 967/4 Simplify (sqrt(242)/(-2*sqrt(11)))/(sqrt(55)/(sqrt(5)*-4) + sqrt(11)). -2*sqrt(2)/3 Simplify ((-5*(sqrt(19) + (sqrt(19) + (sqrt(19) - (-1 + sqrt(76))) - sqrt(19))) - 1*(1 + sqrt(19) + sqrt(19) + -2))*-5)**2. 400*sqrt(19) + 2300 Simplify 1 + (4 + sqrt(128) + -2)**2 + sqrt(128) + 3 + (sqrt(128)*3)**2. 40*sqrt(2) + 1288 Simplify 4 + (sqrt(285)/sqrt(5)*5)/(5*-2*sqrt(3) + sqrt(3)). -5*sqrt(19)/9 + 4 Simplify (sqrt(256)*1 + -1*sqrt(1296))/((-2*sqrt(88))/sqrt(11) - sqrt(128)*-4). -5*sqrt(2)/14 Simplify ((sqrt(136) - sqrt(136)*-2)*6 + sqrt(136) + (sqrt(136) + sqrt(136)*-2)*-1)/(sqrt(128)*-1 + -1*sqrt(512)). -5*sqrt(17)/3 Simplify 0 + ((sqrt(102)*1 - sqrt(102))/sqrt(6))**2*2 + (-2*sqrt(187))/sqrt(11)*4. -8*sqrt(17) Simplify -3 + (2*sqrt(1088)*-5 + -2 + 0)**2 + 4. 320*sqrt(17) + 108805 Simplify 0 + (-3*((4 + sqrt(52)/sqrt(4))*1 + -5))**2. -18*sqrt(13) + 126 Simplify ((2 + sqrt(90)/sqrt(2)*-1*-6 + 1)*-4)**2. 1728*sqrt(5) + 26064 Simplify (4*((sqrt(75) - (sqrt(75) - (sqrt(75) + 1*sqrt(75)))) + 5) - (1 + -6*sqrt(75)*2))**2. 3800*sqrt(3) + 30361 Simplify (sqrt(72)/(2*sqrt(4)) + sqrt(54)/sqrt(3)*1)/(sqrt(441) + (1*sqrt(441) + sqrt(441))*-6 + sqrt(441) + sqrt(441) - sqrt(441)). -3*sqrt(2)/140 Simplify (1 + sqrt(720) + 4 - (-5 + sqrt(720) + 1 - sqrt(720) - sqrt(720)))**2*5. 2160*sqrt(5) + 14805 Simplify (sqrt(1404)/sqrt(3)*1 - (-3 + -1*sqrt(1872)))**2. 108*sqrt(13) + 4221 Simplify (-3 + (sqrt(8)*2)/sqrt(4))**2*2 - ((-3 + (sqrt(200) - (sqrt(200) + 0)))*6)**2. -290 - 24*sqrt(2) Simplify (5*(-4*(sqrt(72) - -2*sqrt(72)*-3) + 1))**2. 6000*sqrt(2) + 720025 Simplify 5 + (sqrt(112)*1*-1 + 5 + sqrt(112)*1)**2. 30 Simplify ((sqrt(48)/sqrt(2))/(sqrt(288) + 4*sqrt(288)))**2. 1/300 Simplify 4*(sqrt(272) + 0)*1 + 2 + (sqrt(272) + -1 + 2 + sqrt(272) + sqrt(272))**2. 40*sqrt(17) + 2451 Simplify ((-3*sqrt(187)*-1)/sqrt(11))**2 - sqrt(68)/(sqrt(4) + sqrt(16)*-2). sqrt(17)/3 + 153 Simplify -2*-5*((sqrt(170) - sqrt(170)*1)/sqrt(10) - (1 + sqrt(17))*4). -40*sqrt(17) - 40 Simplify ((sqrt(95) - -1*-4*sqrt(95))/(sqrt(80) + (sqrt(80) - (-1*sqrt(80) + sqrt(80)))))**2. 171/64 Simplify (3 + -2*(-2 + sqrt(242) + sqrt(242) + -1 + 3))**2. -264*sqrt(2) + 3881 Simplify -2*((sqrt(132) - -2*sqrt(132))/sqrt(12) + 3) - (sqrt(44)*1 - (2 + sqrt(11) + sqrt(275) + sqrt(11))). -4 - sqrt(11) Simplify (sqrt(75)*-1)**2*-1 - (sqrt(3) + sqrt(243) - sqrt(96)/sqrt(8))**2. -267 Simplify -5 + (3*((-2 + sqrt(567))*-2 - sqrt(567)) + 0)**2*-6. -276431 + 11664*sqrt(7) Simplify (-6*(0 + 4*-3*sqrt(245)))**2. 1270080 Simplify -3*((-6*(sqrt(68) - (sqrt(68) + 0) - sqrt(17)))**2 + (sqrt(1224) - ((sqrt(1224) + (sqrt(1224)*1 - sqrt(1224)) - sqrt(1224)) + sqrt(1224)))/sqrt(2))*1. -1836 Simplify sqrt(1900) + 4*(sqrt(1900) + -2) - sqrt(1900) - (6*(sqrt(1900) + -3 + sqrt(1900) + sqrt(1900))**2 + sqrt(1900) - sqrt(1900)). -102662 + 1120*sqrt(19) Simplify 4*(-3*sqrt(117)*-2 - ((sqrt(65) - sqrt(65)*-1)*-2)/sqrt(5))*-4. -352*sqrt(13) Simplify (sqrt(272))**2*-5 + sqrt(153)*2 - (sqrt(153) + 4 + (sqrt(153)*2 - sqrt(153))). -1364 Simplify 1 + ((sqrt(75) + sqrt(75) + -4*sqrt(75))*-1 + 0 + sqrt(48) + 4)**2. 112*sqrt(3) + 605 Simplify -6*(1*-6*(sqrt(425) + 5)*6)**2. -3499200 - 388800*sqrt(17) Simplify (6*(5*4*sqrt(33) - sqrt(33)))/((sqrt(3)*4*3 - sqrt(3))*6). 19*sqrt(11)/11 Simplify ((1*sqrt(171) - sqrt(171)) + -3 + sqrt(171) + sqrt(171)*1 + 5 + sqrt(171) - (-2 + 3 + -1*sqrt(171)))**2. 24*sqrt(19) + 2737 Simplify 6*(-4 + (sqrt(102) - -6*(2*sqrt(102) - sqrt(102)))/(sqrt(6) - (sqrt(600) + (sqrt(600)*2 - sqrt(600) - sqrt(600)) - sqrt(6)))). -24 - 21*sqrt(17)/4 Simplify 6*4*(3 + -2*sqrt(396) + sqrt(396) + 1 + 3*sqrt(396)). 96 + 288*sqrt(11) Simplify (((4*(sqrt(39) - sqrt(78)/sqrt(2)) - sqrt(39)) + sqrt(39))/sqrt(3))**2 - 1*((sqrt(13) - (sqrt(13) + -1)) + 3). -4 Simplify -6*(sqrt(95)/((sqrt(100)/sqrt(2))/sqrt(10)) + (sqrt(2736) - 5*-2*sqrt(2736)))**2. -2016546 Simplify (2 + sqrt(720))**2 + 2 - (2 + sqrt(5)*-1 + 1). 49*sqrt(5) + 723 Simplify (6*1*sqrt(20) + sqrt(1280)*-1 + sqrt(1280) + sqrt(1280) + sqrt(20))/(sqrt(50)/(sqrt(35)/(sqrt(28) - sqrt(7)))). 15*sqrt(2) Simplify 1 + (-2 + -4*(sqrt(175) + sqrt(175)*1) + (5*(sqrt(175) + -1) - (sqrt(175) + 0)*1))**2. 280*sqrt(7) + 2850 Simplify (sqrt(88)/(sqrt(33)/sqrt(3)*5 - sqrt(11)))/(1*(sqrt(4) - (sqrt(20)/sqrt(5)*3 - sqrt(4)))). -sqrt(2)/4 Simplify ((-4*(sqrt(25) + sqrt(150)/sqrt(6))*2)/((sqrt(200)/(sqrt(24)/sqrt(3)))/sqrt(5)))**2. 1280 Simplify -1*(-1 + ((-2 + sqrt(128) + sqrt(128))*-1)**2). -515 + 64*sqrt(2) Simplify 0 + (-6*sqrt(40)*-5)/(sqrt(8)*-2*5). -3*sqrt(5) Simplify (2*(-1 + 4 + sqrt(171) + sqrt(171) + (sqrt(171)*-5 - sqrt(171)) + 1))**2. -384*sqrt(19) + 11008 Simplify (((sqrt(68) + 5*2*sqrt(68) - sqrt(68)) + sqrt(68))*-6)/(-1*2*sqrt(144)). 11*sqrt(17)/2 Simplify (sqrt(637) + (sqrt(637) + 3)**2 + -3 + -1)*6. 294*sqrt(13) + 3852 Simplify (3 + sqrt(7) + sqrt(7)*2*-2 + 3 + sqrt(42)/(sqrt(768)/sqrt(8)))**2. -33*sqrt(7) + 1423/16
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Let f(y) = 5*y**2. Let m(z) = 17 + 5 + 3*z - 22. Determine f(m(h)). 45*h**2 Let y(q) = 3*q. Let g(m) be the first derivative of -m**2/2 - 4. Let r(x) = -4*g(x) - y(x). Let k(l) = 0*l**2 + 2*l**2 - 5*l**2. Determine r(k(d)). -3*d**2 Let r(p) = 3*p - 12. Let k(h) = -h + 5. Suppose -3*q + 25 = -11. Let x(n) = q*k(n) + 5*r(n). Let w(i) = i. What is x(w(o))? 3*o Let t(y) = 89*y. Let s(n) = -5*n**2. Calculate s(t(d)). -39605*d**2 Let k(j) = -j. Let c(l) = -l - 46. Calculate c(k(u)). u - 46 Let a be (-4)/(-12) + (-5)/(-3). Let t(k) = -7*k + 7*k + 4*k**a. Let h(v) = 2*v**2. What is h(t(w))? 32*w**4 Let k(b) = 7*b**2 - 99. Let d(x) = -3*x**2. Give d(k(h)). -147*h**4 + 4158*h**2 - 29403 Let y(s) = -5*s. Let t(d) = 20*d**2 + 20*d - 5. Calculate y(t(a)). -100*a**2 - 100*a + 25 Let o(m) = m**2 + 3*m. Let w(q) = -2*q. Let d(f) = 2*o(f) + 3*w(f). Suppose 4*a - 17 = -2*l + 5*a, 5*a + 36 = 3*l. Let v(c) = -9*c + l*c + 4*c. Give v(d(p)). 4*p**2 Let v(m) = m**2. Let y(n) = 4707*n**2. Determine y(v(j)). 4707*j**4 Let h(u) be the first derivative of -u**5/20 + u**2/2 - 3. Let s(c) be the second derivative of h(c). Let k(y) = 2*y**2. Give s(k(g)). -12*g**4 Let n(w) = w**2 + 109. Let o(k) = k. Calculate o(n(b)). b**2 + 109 Let o be (-2)/3 - (-2)/3. Let w(x) = o*x + x - 3*x. Let a(l) be the first derivative of -l**2/2 - 2. Give a(w(n)). 2*n Let n(p) = -154*p**2. Let c(u) = -10*u**2. What is c(n(t))? -237160*t**4 Let u(a) = a**3 + 3*a**2 - 2*a - 6. Let m be u(-3). Let z(g) = 0 + 6*g - 7*g + m. Let b(x) = -7*x. What is z(b(s))? 7*s Let o(s) be the first derivative of -3*s**2 + 10. Let r(i) = 2*i. What is r(o(l))? -12*l Let w(c) = c**2. Let z(j) = 481*j. Give z(w(o)). 481*o**2 Let p(z) = 3*z. Let d(k) = -2*k**2 + 3*k. What is p(d(o))? -6*o**2 + 9*o Let m(c) = -4*c**2. Let z(d) = 1962*d. Give m(z(f)). -15397776*f**2 Let o(r) be the second derivative of -8*r**3/3 - 14*r. Let y(t) = 2*t**2. Calculate o(y(g)). -32*g**2 Let j(a) = -a**2 - a - 1. Let d(b) = 27*b**2 - 3*b - 3. Let y(o) = -d(o) + 3*j(o). Let t(n) = -2*n**2. Give t(y(g)). -1800*g**4 Let n(v) = v. Let w(o) = -2*o**2 + 2*o + 2. Let d(k) = -k**2 - k - 1. Let f(t) = 4*d(t) + 2*w(t). Give n(f(a)). -8*a**2 Let a(c) = c**2. Let f(w) = 6*w**2 + 14*w. Calculate f(a(t)). 6*t**4 + 14*t**2 Let v(w) = w. Let r(c) = -c - 3. Let n(a) = 1. Let s(j) = 3*n(j) + r(j). What is s(v(o))? -o Let d(c) be the third derivative of c**5/15 + 8*c**2. Let q(w) = -w**2. Give d(q(r)). 4*r**4 Let h(a) = -a**2 - 19*a. Let k(m) = -10*m. Calculate k(h(p)). 10*p**2 + 190*p Let o be 1/(-4) - (-27)/12. Let r(i) = 2*i**2 - i**o - 2*i**2. Let q(a) = 3*a + 22 - 41 + 19. Determine q(r(g)). -3*g**2 Let j(i) be the first derivative of -2*i**3 - 32. Let o(b) = -4*b. Give o(j(k)). 24*k**2 Let c(m) = -123*m**2. Let s(o) = -o**2. What is c(s(i))? -123*i**4 Let v(x) = 4*x + 2*x + 3*x - 4*x. Let c(u) = 2*u**2. What is v(c(a))? 10*a**2 Let v(j) = -3*j. Suppose -5*s = -2 - 8. Let r(m) = -m**s - 1 + 2 - 1. Give v(r(z)). 3*z**2 Let v(k) be the second derivative of 0*k**2 + 1/4*k**4 + 0*k**3 + 4*k + 0. Let n(b) = 2*b**2. Determine n(v(l)). 18*l**4 Let k(p) = -5*p**2. Let i(l) = -86*l**2. Determine i(k(t)). -2150*t**4 Let h(m) = -37*m. Let b(t) = -2*t. Determine h(b(y)). 74*y Let y(u) = -13*u**2. Let s(k) = 6*k + 19 - 7 - 12. Give s(y(a)). -78*a**2 Suppose 3*i - 11 = -5. Let b(c) = -2*c**2 - 2*c**i + 2*c**2 + 0*c**2. Let k(u) = 3 - 3 - u. What is k(b(x))? 2*x**2 Let k(s) = -2*s. Let n(p) = 11350*p. Give n(k(u)). -22700*u Let b be 0/(-2)*3/6. Let l(s) be the third derivative of b*s**3 + 0*s + 3*s**2 + 0 - 1/12*s**4. Let g(z) = -2*z. What is g(l(w))? 4*w Let n(m) = -5*m**2. Let z(u) = -27*u + 3. What is z(n(d))? 135*d**2 + 3 Let w(t) = 2*t**2 - 2. Let q(g) = -3*g. Calculate q(w(x)). -6*x**2 + 6 Let u(n) = 81*n. Let m(g) = 2*g. What is u(m(i))? 162*i Let u(v) = -7*v**2. Let w(t) = -5*t + t + 0*t + 3*t. Give w(u(d)). 7*d**2 Let i(s) = s**2. Let m = -4 - -4. Let z(a) be the second derivative of 0 + 1/3*a**3 + m*a**2 + 2*a. Give i(z(u)). 4*u**2 Let z(k) = -9*k. Let x(d) = -183 + 3*d + 364 - 181. Determine z(x(g)). -27*g Let m(o) be the second derivative of -7*o**4/12 - o. Let s(y) = -y**2 + y**2 + 2*y**2 - y**2. What is s(m(b))? 49*b**4 Let u(l) = -3*l**2. Let m(b) = -18*b + 3. Determine u(m(g)). -972*g**2 + 324*g - 27 Let o(q) = 10*q**2. Let h(i) = 16 - 2*i**2 - 16 + 5*i**2. Calculate h(o(u)). 300*u**4 Let m(c) = 4*c. Let r(l) = -l - 2. Let s be r(-2). Let k(u) = -3*u**2 + 4*u**2 + s*u**2. Calculate m(k(j)). 4*j**2 Let a(h) = -187*h. Let m(k) = -15*k**2. What is m(a(z))? -524535*z**2 Let u(n) = 8*n**2 - 6*n. Let q(h) = h**2 - h. Let s(d) = -6*q(d) + u(d). Let c(v) be the third derivative of -v**4/24 + 15*v**2. Calculate c(s(x)). -2*x**2 Let i(v) be the second derivative of -v**3/6 - v. Let a(u) = u - 1. Let b(m) = m**2 - 2*m + 2. Let o(y) = -2*a(y) - b(y). Calculate o(i(s)). -s**2 Let t(m) = m**2 + 0*m**2 + 0*m**2. Let y(d) = 6*d**2. Determine y(t(h)). 6*h**4 Let v(n) be the second derivative of -7*n**3/2 + 22*n. Let b(m) = 4*m**2. Give b(v(h)). 1764*h**2 Let b(i) = 2*i. Let x = -14 - -14. Let o(w) be the third derivative of x - 1/24*w**4 + 0*w**3 - w**2 + 0*w. Determine o(b(l)). -2*l Let r(d) = d**2. Let o(v) be the third derivative of -5*v**4/8 - 26*v**2. Give r(o(g)). 225*g**2 Let v(w) = w. Let b(a) be the second derivative of -a**4/12 - 12*a. Calculate v(b(d)). -d**2 Let w(n) = 74*n + 1. Let q(i) = -5*i. Give q(w(g)). -370*g - 5 Let v(n) = 2*n + 50. Let w(z) = -2*z. Calculate v(w(s)). -4*s + 50 Let r(a) = -393*a. Let d(m) = -m. What is r(d(s))? 393*s Let m(k) = 4*k**2. Suppose -5*w - 3 = -6*w. Let x be 5/(-4)*(-12)/w. Let f(r) = r - x*r + 2*r. Determine m(f(n)). 16*n**2 Let p(c) = c**2. Let n(t) = -9*t**2 - 2. Let v(o) = 14*o**2 + 3. Let l(s) = -8*n(s) - 5*v(s). Let u(r) be the first derivative of l(r). Determine u(p(g)). 4*g**2 Let j(x) = 106*x. Let g(s) = -4*s**2. Calculate j(g(n)). -424*n**2 Let j(c) be the second derivative of c**3/2 - 3*c. Let a(m) = 16*m. Let q(u) = -4*a(u) + 22*j(u). Let t(w) = -2*w**2. What is q(t(g))? -4*g**2 Let q(k) = -13*k**2. Let r(x) = -370*x**2 - 2. What is r(q(c))? -62530*c**4 - 2 Let m(z) = -7*z**2. Let n(l) = 197*l**2. What is m(n(f))? -271663*f**4 Let r(q) be the first derivative of -q**2/2 - 149. Let s = 0 + 3. Let l(u) = -u - s + 3. Determine r(l(h)). h Let h(x) = x - 7. Let u(a) = -2. Let l(f) = 2*h(f) - 7*u(f). Let d(r) = 37 - 37 - 2*r. Determine d(l(k)). -4*k Let g(q) = -116*q**2 + 5. Let u(a) = -174*a**2 + 8. Let z(p) = 8*g(p) - 5*u(p). Let o(r) = 2*r. What is z(o(t))? -232*t**2 Let m = -28 + 30. Let x(w) be the first derivative of 0*w - 7/2*w**m + 3. Let l(n) = -2*n. What is l(x(i))? 14*i Let p(b) = -b**2. Let a(j) = 156*j**2 + 1. Give p(a(y)). -24336*y**4 - 312*y**2 - 1 Let q(v) = 2*v + 0*v + 13 - 13. Let p(t) = 10*t**2. Let m(w) = 29*w**2. Let z(x) = 4*m(x) - 11*p(x). Give q(z(c)). 12*c**2 Let c(d) = -d - 3. Let h(y) = 6*y + 21. Let q(w) = -21*c(w) - 3*h(w). Suppose -3*p = p. Let j(b) = -2*b + 0 + p. Give q(j(t)). -6*t Let y(s) = -3*s. Let w = 3 - 1. Let u(c) = w*c - 2*c + 2*c. Give u(y(o)). -6*o Let p = 1 + 1. Let i(g) = 5*g**p - 2*g**2 - 2*g**2. Let b(v) = 12*v. Give i(b(u)). 144*u**2 Let i(v) = -517*v**2. Let j(l) = 3*l. Determine j(i(a)). -1551*a**2 Let n(x) = -4*x + 168. Let i(t) = 2*t. Calculate n(i(f)). -8*f + 168 Let x(o) = -2*o**2. Let a be ((-12)/(-15))/(10/25). Let d(q) = -16*q**2 + 6*q**2 + 17*q**a. What is x(d(v))? -98*v**4 Let f(w) = 2*w**3 + w**2 - w. Let p be f(1). Let j(i) = p*i - 4*i + i. Let d(t) be the second derivative of t**4/6 - 3*t. Give d(j(g)). 2*g**2 Let m(y) = y**2 + 2*y + 2. Let x = 15 - 10. Let n(b) = x*b + 2*b - 2*b + 5 + 3*b**2. Let c(l) = -5*m(l) + 2*n(l). Let z(r) = -2*r. Calculate z(c(i)). -2*i**2 Let a(m) = 5950*m. Let v(p) = 2*p**2. Determine a(v(t)). 11900*t**2 Let b(o) = 22*o. Let l(n) = 227*n. Give l(b(c)). 4994*c Let a(b) = -2*b + 2. Let d(l) = -2*l + 3. Let s(y) = -3*a(y) + 2*d(y). Let u(h) = -18*h. Give s(u(i)). -36*i Let n(o) = -5*o. Let m(t) = -t. Suppose 44 = -4*u + 5*j, 2*u + 29 - 7 = -5*j. Let x = u - -15. Let f(l) = x*m(l) - n(l). Let h(p) = -2*p. What is f(h(z))? -2*z Let z(v) = -v**2 - 1. Let p(r) = 24*r**2 + 22. Let s(h) = -2*p(h) - 44*z(h). Let k(u) be the first derivative of -3 + 0*u + 1/2*u**2. What is k(s(w))? -4*w**2 Let u(n) be the second derivative of n**4/6 - 7*n. Let g(z) be the third derivative of -z**4/24 - z**2. Calculate u(g(l)). 2*l**2
What is 646 minutes before 2:08 PM? 3:22 AM What is 430 minutes before 10:13 AM? 3:03 AM How many minutes are there between 2:45 AM and 2:16 PM? 691 What is 699 minutes after 1:46 AM? 1:25 PM How many minutes are there between 10:35 AM and 9:50 PM? 675 What is 387 minutes before 1:42 AM? 7:15 PM How many minutes are there between 8:23 AM and 11:34 AM? 191 How many minutes are there between 11:27 AM and 7:37 PM? 490 How many minutes are there between 12:01 AM and 10:26 AM? 625 How many minutes are there between 1:03 AM and 4:46 AM? 223 How many minutes are there between 10:09 AM and 5:34 PM? 445 How many minutes are there between 5:25 PM and 11:07 PM? 342 What is 643 minutes before 2:18 AM? 3:35 PM What is 627 minutes before 1:57 AM? 3:30 PM How many minutes are there between 6:32 AM and 5:51 PM? 679 How many minutes are there between 2:34 AM and 9:18 AM? 404 What is 67 minutes after 4:15 AM? 5:22 AM How many minutes are there between 3:20 PM and 3:09 AM? 709 What is 137 minutes before 1:44 AM? 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Suppose -54*p + 26 = 2*c - 59*p, -c - 3*p + 2 = 0. Solve 4*d + 5*f = 15, -d + 11*f - 9 = c*f for d. 0 Suppose x + 14739 = 14743. Solve -5*t + 0*t + 4*h = 36, 3*t - x = -4*h for t. -4 Let q = -91081 - -91086. Let r be -1 - (-2 - (1 + 23)). Solve 4*s = q*m, -3*m = s + 2*m - r for s. 5 Suppose 12*p = 22*p + 28*p - 266. Solve -z + p = -2*v, -3*z = 71*v - 73*v - 9 for z. 1 Suppose 5*p = 3*r + 23, -p + 8*r + 1 = 11*r. Solve -20*y + 35 = -p*l - 17*y, -30 = 3*l - 3*y for l. -5 Let g = -2462 - -2464. Solve 2*y + g*j - 5 = 3*j, -4*y - 2*j = 2 for y. 1 Let v(p) = 3*p - 26. Let l be v(12). Suppose 181*f = 183*f - l. Solve f*j = 3*u + 14, 4*j - 6 = j + u for j. 1 Let y(u) = 2*u**2 - 28*u + 58. Let x be y(14). Suppose -x - 152 = -21*a. Solve 0 = 4*t - 2*w + a, 3*t - 3*w = -4*w for t. -1 Let v be (-144)/24*4/(-6). Suppose v*z + 4*s - 90 = -z, 3*z + 5*s = 54. Solve f + 3*m = z, 0 = -4*f + 8*f - m - 7 for f. 3 Let w(m) = -m**3 + 24*m**2 - 26*m + 72. Let k be w(23). Solve 5*x + 3*g - 4*g = 0, 0 = k*x - 3*g for x. 0 Let z(m) = -m - 2. Let a be z(-7). Suppose 3*p - 13 = -5*o, -5*o = -a*p + 9*p - 9. Solve -4*k + o*s = -1, -2*s = -4*k + 2*s + 4 for k. 4 Let j = 603 + -607. Let l be 3/j*(36/(-9) - 0). Solve 3*k + 17 = 2, -2*k - 19 = -l*m for m. 3 Suppose 0 = -9*i - i. Suppose -2*d + 5*y + 29 = i, -3*y = 4*d - 4*y - 13. Solve 0 = s + o + 5, 5 = -2*s + d*o - 1 for s. -4 Suppose -78 + 50 = -4*i. Suppose 2*q = -i + 3. Let f = 5 + q. Solve 2*o = -3*r - r + 10, -r = -f*o - 6 for o. -1 Suppose 320*m - 1094 - 162 + 296 = 0. Solve -5*x - 2 + 18 = m*f, -x + 8 = -f for f. -3 Suppose 57 = -11*q + 112. Suppose 0 = -2*t - 3*l + q - 7, 5*t + 2*l = 6. Solve t*a - 8 = -2*g, -2*g - 15 = -4*a - 5*g for a. 3 Suppose -2*i = v - 650, -17*v + 1930 = -14*v + 2*i. Let r = v - 637. Let y = 2 - -1. Solve -4*c + 5*u = 13, r*c - 2*c + 5*u = y for c. -2 Suppose z - 336*r + 3 = -334*r, -5*z = 5*r - 30. Solve 7*s = 6*s - 4*i - 17, -2*s - z*i = 19 for s. -5 Suppose -7*w + 3*z = -3*w - 22, 0 = -5*w - 4*z + 43. Let j be (1 - 8)*(-3 + 5). Let g = j - -16. Solve -b + 2*f - 3 = 0, 0 = -2*b + g*f - 1 - w for b. -5 Let l be (2/(-5))/(-13*20/3250). Solve -6 = 5*c - 7*r + l*r, -2*r = -6 for c. 0 Let d(x) = -x**2 + 6*x - 3. Let l be d(5). Let w be 2*8/22 - 960/(-3520). Solve s + l = 2*v - w, -2*s = -3*v + 3 for v. 3 Let q(l) be the first derivative of 3*l**2 - 135. Let z be (-2)/(-3)*(-6)/(-2). Let i be q(z). Solve b + 4*u = i, -6*b - 9 = -b - 3*u for b. 0 Let g(y) = y**2 - 73*y - 2206. Let d be g(-23). Solve 5*t + 18 = d*c - 0*t, -5*c - 21 = 4*t for c. -1 Let q(r) = -11*r**3 + 374*r**2 + 4. Let w be q(34). Solve -3*a - 72*p = -75*p, w*a + 2 = 3*p for a. -2 Suppose -80*a = -86*a. Suppose 3*x + x + r - 10 = a, 5*x = -5*r + 5. Let b(l) = -l + 4. Let i be b(-4). Solve 3 = -5*g + d, x - i = -g + 3*d for g. -1 Let z be (-780)/(-234)*((-12)/5 + 3). Solve z*y - 4 = -2*w, 13*y - 8*y = -w - 2 for w. 3 Let g(n) = 2*n**2 + 24*n + 40. Let x be g(-2). Solve 9*c = 5*r + 13*c + 36, -3*r + 2*c - 4 = x for r. -4 Let v = 232 + -787. Let l = 555 + v. Solve l*s - 3*k + 4 = -2*s, -s - 1 = -k for s. 1 Let h(x) = x**2 - 3*x - 28. Let g be h(-5). Suppose 10*z = g + 8. Solve -3*t - 3 = -2*s, 2*t = -2*s + 4*t + z for s. 0 Let g = 4714 - 4714. Solve -2*y - 2*o - 3 + 9 = g, y + 2*o - 5 = 0 for y. 1 Let o = 4263 + -4251. Solve 8 = 2*h + 4*k, 90*h = 93*h - 5*k - o for h. 4 Let u = -93 - -130. Suppose u = 5*b - 8. Solve -4*y + b = -s, 22 = -3*s + 2*y + 5 for s. -5 Suppose 4*l - 84 = -0*l. Suppose -39 = -h - 5*v, -v + l = h - 5*v. Suppose -4*w + h = -3. Solve -4*q + 6 = 5*r, -4*q = 2*r - 4*r + w for r. 2 Let c = -98 + 100. Suppose 2*l + c*l - 8 = -2*o, -5*l + 10 = 0. Solve 4*p - 5 = 3*p + m, o = -4*p - 2*m + 8 for p. 3 Suppose 5*y - 3*t + 6*t = -2945, 0 = -4*y + 2*t - 2356. Let g = y - -593. Solve -4*w - b + 1 = 0, g*w - 3 = -2*b + 3 for w. -1 Suppose -4*a + 5*l + 14 = 0, -l = 3*a + 3*l - 26. Suppose -3*n - 6 = -3*d, 4*d - 17 = 3. Solve n*h = r + 11, 2*r = 6*r - 2*h - a for r. 4 Suppose -3*p - p = -5*u - 28, -2*p - 12 = 4*u. Solve 0 = -3*c - 5*j - 4, j = 5*c - p*j - 16 for c. 2 Let v = 24 + -19. Let u be 12/42 + v/7. Suppose 0*m + m = -t - 1, 2*m = -3*t + u. Solve -t*r = 5*l + 22, -r - 3 = -l - 9 for r. 1 Let i(m) = -m**3 + 9*m**2 - 5*m - 18. Let v be i(8). Suppose -v*p = -5*p + 43. Let h = p + 48. Solve 45 = h*j - 5*b - 5, 5*j - 10 = -3*b for j. 5 Let m(p) = 26. Let j(x) = -x + 4. Let s(h) = -3*j(h) + m(h). Let i be s(0). Solve g + i = -3*c, g = -2*c + 5*g for c. -4 Suppose 0 = 2*j, -2*j - 24 = 4*f + j. Let k = -20 + f. Let b be (0 - 1)/(2/k). Solve 3*a - 5*z + 3 = 0, -a = 2*z + z - b for a. 4 Let j = -2114 + 2146. Solve -23 = 3*u - m - 9, 4*m - j = 4*u for u. -3 Let k be (-2)/(6*19/(-912)). Solve 4*r - k = 0, -3*l - 166*r + 163*r + 15 = 0 for l. 1 Let t be ((-225)/(-90))/(2/(-4)). Let o be -1 - ((-6)/2 + 7). Let a be 10/((-5)/o) + t. Solve -2*s = 3*k + 14, k + 0*s + 9 = -a*s for k. -4 Let w = 2830 + -2826. Solve 0 = -3*v + j - 8, -6*j - 24 = w*v - 4*j for v. -4 Suppose 8*g - 2226 = g. Let s = -310 + g. Solve -31 = -4*a + 3*m - s*m, 5*m = a + 11 for a. 4 Let f be -1 + ((-18)/42 - 36/14). Let j be (-25)/(-100) + (-55)/f. Solve 0 = -s - 3*o + j, 10 + 4 = -3*s + 5*o for s. 2 Suppose -77*x + 54 = -59*x. Solve 2*f = -5*z + 14, 21 = -f + x*z + 6 for f. -3 Let k(r) = 2*r**2 + 17*r - 6. Let z be k(-10). Suppose -2*a + z = 4*p, -4*p + 10*a - 7*a + 4 = 0. Solve 4*d - 5*w = -31, 0*d + 2*d = -p*w + 4 for d. -4 Let m(v) = -7*v - 126. Let a = -368 + 350. Let y be m(a). Let o = 11 - 6. Solve -2*n + y*n - 18 = 5*b, 0 = o*n - 5 for b. -4 Let g(n) = n**3 + 4*n**2 - 3*n - 10. Let m be g(-4). Suppose m*s = l - 49, l + s = -3*s + 37. Solve 5*q - l = -4*h, 0*q + 5*h = -4*q + 45 for q. 5 Let z = -6879 + 6881. Solve -z*i - 4*w - 2 = 0, -3*w - 32 = -4*i + w for i. 5 Suppose 19*s = 25*s - 48. Suppose 21*h - s*h - 52 = 0. Solve -4*g = -h*d + 16, -3*g - 8 = d - 0 for g. -3 Let s(f) = -4*f**2 + 7*f + 2. Let l(p) = p**3 + 11*p**2 + 2. Let i be l(-11). Let b be s(i). Solve b = -2*g + 7*g - 2*w - 8, -5*w = 5*g - 15 for g. 2 Let b be (-1)/(-1*((-961)/124 - (1 - 9))). Solve 0 = 3*l + 4*o - 12, -b*l + 9*l + 6 = 2*o for l. 0 Suppose 7*k + k - 160 = 0. Solve q + 3*p = 9, -24*q = -k*q - 3*p + 9 for q. 0 Let k(f) = -11*f**2 + 10*f - 3. Let p(l) = 19*l**2 - 21*l + 6. Let s(a) = -5*k(a) - 3*p(a). Let o be s(3). Solve 2*x - o = 2*z - 0*z, -4*x - 3*z + 8 = 0 for x. 5 Suppose 0 = -2*v - 10, 24 + 9 = 2*i - 5*v. Suppose 6 - 10 = -i*n. Suppose 5*d + 2*y = 24, 0 = -2*d - y - n + 11. Solve -z + 7 = d*b, -10 = 2*z - 5*b + b for z. -1 Let p be (1/(-1))/(-2 - 21/(-12)). Suppose -12*w + 64 = -p*w. Suppose 0 = 5*s + x - 18, 5*s = -5*x + w + 22. Solve 4*q = i - 1, -s*q + 21 = -2*q + 4*i for q. 1 Let q be (-10)/400*4 - (-4)/40. Solve -3*c + 20 = 3*u + 5, c - 2*u + 7 = q for c. 1 Let d = -67 - -75. Suppose 6*z - 4*z - d = 0. Solve -3*x + x + 4*s = 10, 16 = -4*x + z*s for x. -3 Suppose 0 = 3*j + 5*b + 17, 5*j + b - 4*b - 17 = 0. Suppose 4*o + 2*d - 13 = j, -4*d = 4*o - 4. Solve 12 = 4*s + f, o = 5*s + 5*f - 24 for s. 2 Suppose -2*r + 306 = 3*r + 3*g, 2*r - 4*g = 138. Let h = r + -33. Let c = h + -29. Solve 0 = -q + c, 8 = 3*y - 3*q - q for y. 4 Let l = 27 + -33. Let q be (-168)/(-30) - l/(-10). Suppose 107 = -g + 111. Solve -x - 7*k = -q*k, g*x + 13 = 5*k for x. -2 Let c(x) = -x**3 - 184*x**2 - 172*x + 2018. Let i be c(-183). Solve 3*k + 8 = -2*u, 59 = -i*u - 3*k + 48 for u. -1 Let d = 4306 - 4306. Solve -5*l + 8*l - 2*z + 15 = d, 0 = 5*l + 5*z for l. -3 Let t be ((-544)/(-170))/(49/(-25) - -2). Suppose -82*j + 6 = -t*j. Solve i = 6*i + 15, -6 = j*p - 2*i for p. -4 Suppose -3*b = -6 - 3. Let t(l) = l**2 - 97*l + 2227. Let j be t(60). Solve 0 = -b*h - 2*s + j*s - 2, 0 = -h - 5*s - 14 for h. -4 Let p be 33/9 - ((-4)/12 + 1). Suppose 0 = -4*h + p - 3. Suppose 0*z + 16*z = h. Solve -5*q + z*q + 2 = -k, -3*k = 5*q - 14 for k. 3 Suppose 40*u - 417 = 37*u. Let t = u + -136. Solve 9*d - 4*d - 4*h + 20 = 0, 2*h - 12 = t*d for d. -4 Suppose 3*k = -3*v + 228, -9 - 3 = 4*k. Suppose -4*p - 15 = -v. Let j = 35 - p. Solve 3*f + 2*x + 4 = -j, 4*x = -4*f - 36 for f. -5 Let z(m) = m**3 - 11*m + 1. Let s = 528 + -531. Let n be z(s). Solve n*h - 36 = 5*f + 3*h, 16 = 4*h for f. -4 Suppose -5*c = -23 + 3. Suppose t = 4*n - 59, -3*t + 2*n - 149 = c*n. Let w = t + 54. Solve 4*z - 3*s + 2*s = -14, -w*z - 13 = -2*s for z. -3 Suppose -3*x + 3*q + 1071 = 1062, 1 = 3*x + 5*q. Solve 0 = -x*w + 2*u - 10, 3*w = 2*u - 6*u + 6 for w. -2