ctor 2/5 + 4/5*a + n*a**2.
2*(a + 1)**2/5
Let l(a) = 5*a**4 + 10*a**3 + 6*a + 6. Let i(c) = -c**4 - c**3 - c - 1. Let s(v) = 6*i(v) + l(v). Factor s(g).
-g**3*(g - 4)
Let i(b) be the second derivative of b**6/90 + b**5/12 + b**4/12 - 5*b**3/18 - 2*b**2/3 + 27*b. Factor i(h).
(h - 1)*(h + 1)**2*(h + 4)/3
Let m(a) be the first derivative of a**6/360 - a**5/60 + a**4/24 + a**3 - 3. Let o(u) be the third derivative of m(u). Let o(w) = 0. What is w?
1
Let t(z) be the second derivative of z**4/36 - z**3/6 - 19*z. Suppose t(q) = 0. What is q?
0, 3
Let r be (-6)/20*((-19)/(-6) - 4). Factor 0 + r*w**2 - 1/2*w.
w*(w - 2)/4
Let h be -1 - 2 - (-5852)/55. Let n = h - 103. Factor 0*q**2 + 0*q + 0 + n*q**4 + 0*q**3.
2*q**4/5
Let f(l) be the second derivative of l**5/210 - l**4/28 + 2*l**3/21 + l**2/2 + l. Let c(y) be the first derivative of f(y). Solve c(h) = 0.
1, 2
Let l(j) be the first derivative of -12*j**5/5 - 39*j**4/4 - 15*j**3 - 21*j**2/2 - 3*j - 17. Determine g so that l(g) = 0.
-1, -1/4
Factor -3/10 - 1/10*z**3 - 1/2*z**2 - 7/10*z.
-(z + 1)**2*(z + 3)/10
Let x(d) = 2*d. Let g be x(1). Let u(y) be the second derivative of -1/12*y**3 + 0*y**g + 2*y + 0 + 1/24*y**4. What is c in u(c) = 0?
0, 1
Let a(c) = 32*c**3 + 62*c**2 + 30*c - 17. Let n(q) = 11*q**3 + 21*q**2 + 10*q - 6. Let i(t) = 6*a(t) - 17*n(t). Factor i(z).
5*z*(z + 1)*(z + 2)
Suppose r - 4*r = -45. Let v = -5 + 7. Find i, given that -i - 2 - r*i**3 - 4*i**2 + 8*i + v*i = 0.
-1, 1/3, 2/5
Factor 6*l**2 - 1 - 4*l - 1 - 3 + 3.
2*(l - 1)*(3*l + 1)
Let h = 76776/11 - 6974. Let r = -514/99 + h. What is i in -16/9*i**3 + 0 + 10/9*i**4 + r*i + 2/9*i**2 = 0?
-2/5, 0, 1
Factor 1/2*t - 1/2*t**2 + 0.
-t*(t - 1)/2
Let d be (3/(-2))/(4/(-40)). Let z be (-3)/(-15) - 3/d. Factor 2/7 - 2/7*y**2 + z*y.
-2*(y - 1)*(y + 1)/7
Let i(g) = -g**2 + 4*g + 1. Let n be i(5). Let x be n/(-18) - 50/(-18). What is k in 1/4*k**x + 0 + 1/2*k**2 + 1/4*k = 0?
-1, 0
Let i be (-21)/6*4/(-7). Factor -2 + 5*v**4 + 2*v**4 - 4*v**3 - 4*v**2 - 3*v**4 + i*v**4 - 2*v**5 + 6*v.
-2*(v - 1)**4*(v + 1)
Let k(a) be the second derivative of -a**5/20 - 3*a**4/4 - 3*a**3/2 - 2*a**2 + a. Let w be k(-8). Solve 4*p**2 - w*p**2 - 4*p**2 + 2*p**2 = 0 for p.
0
Let w(a) be the third derivative of -a**6/360 - a**5/180 + a**4/36 + 8*a**2. Factor w(y).
-y*(y - 1)*(y + 2)/3
Let u(z) = -16*z**3 - 68*z**2 - 80*z - 9. Let l(x) = 16*x**3 + 68*x**2 + 80*x + 10. Let i(t) = 7*l(t) + 6*u(t). Find n, given that i(n) = 0.
-2, -1/4
Let n be 1/((-1)/(0 - -1)). Let i(j) = j**2 - j + 1. Let y(c) = c**4 - c**3 + 4*c**2 - 4*c + 5. Let q(b) = n*y(b) + 5*i(b). Solve q(r) = 0 for r.
-1, 0, 1
Let z = 17 - 13. Let u(l) be the third derivative of -1/270*l**5 + 1/108*l**z + 0*l**3 + 0*l - 2*l**2 + 0. Factor u(y).
-2*y*(y - 1)/9
Factor -9*y**2 - 3*y**3 - 3*y**3 + 6*y + 9*y**2 - 4*y**2 + 4.
-2*(y - 1)*(y + 1)*(3*y + 2)
Let n be 8/(-2)*(-1)/2. Let a(i) be the second derivative of 1/12*i**4 - 1/3*i**3 - n*i + 1/2*i**2 + 0. Factor a(c).
(c - 1)**2
Let d(w) = 10*w**3 + 10*w**2 - 64*w + 30. Let u(y) = -2*y**3 - 2*y**2 + 13*y - 6. Let g(s) = -3*d(s) - 14*u(s). Suppose g(h) = 0. Calculate h.
-3, 1
Suppose 3*d + 0*d - 5*b = 55, -3*b + 24 = 2*d. Let x be 6/d*(-3)/(-6). Find h, given that -1/5 - x*h**2 - 2/5*h = 0.
-1
Let k(z) = 2*z**4 + 4*z**3 - 4*z. Let t(x) = -x**4 - 3*x**3 - x**2 + 3*x - 1. Let r(a) = -6*k(a) - 4*t(a). Suppose r(w) = 0. Calculate w.
-1, -1/2, 1
Let b be 26 - 19 - (-6 - -2)*-1. Factor -1/2*a**b + 1/2 - 1/2*a**2 + 1/2*a.
-(a - 1)*(a + 1)**2/2
Let h(k) = -9*k**2 + 37*k - 33. Let d(x) = 22*x**2 - 92*x + 82. Let i(o) = 5*d(o) + 12*h(o). Factor i(s).
2*(s - 7)*(s - 1)
Factor 27*a + 4 + 5*a + 64*a**2 + 5*a - 5*a.
4*(4*a + 1)**2
Suppose -62 - 79 = -3*z. Let t = 189/4 - z. Let 1/2*m**2 - 1/2 + 1/4*m - t*m**3 = 0. Calculate m.
-1, 1, 2
Let d be 18/(-24) - ((-3)/(-1))/(-3). Find n such that 1/4*n - d*n**3 + 1/4*n**4 - 1/4*n**2 + 0 = 0.
-1, 0, 1
Let n(c) be the third derivative of c**6/280 + 3*c**5/140 + 3*c**4/56 + c**3/14 + 2*c**2. Find q such that n(q) = 0.
-1
Factor -2/3*t - 2/3*t**3 + 0 - 4/3*t**2.
-2*t*(t + 1)**2/3
Let a(q) = q**2 + 6*q + 5. Let v = 7 - 11. Let j(r) = -r**2 - 7*r - 6. Let l(f) = v*a(f) - 3*j(f). Suppose l(x) = 0. What is x?
-2, -1
Solve -2*s**5 + 48*s**4 + 243*s - 432*s**2 + 62*s**3 + 5*s**5 + 76*s**3 = 0.
-9, 0, 1
Let d be (2/(-3))/(1/(-18)). Let g be (-2)/6 + 52/d. Factor 2/7*h**g + 6/7*h**2 + 0 - 6/7*h**3 - 2/7*h.
2*h*(h - 1)**3/7
Let z = -6 + 10. Let p(y) = -6*y**2 + 6*y + 9. Let r(i) = 3*i**2 - 3*i - 4. Let m(f) = z*p(f) + 9*r(f). Factor m(h).
3*h*(h - 1)
Let f be -3 + 5 + -1*22. Let q be 4/(-3)*6/f. Suppose 0*u**2 - 2/5*u + q*u**3 + 0 = 0. Calculate u.
-1, 0, 1
Let c be 0 + 0 + -7 + 7. Suppose c = -5*n + n + 16. Let n*b + 2*b**2 + 29 - 29 = 0. What is b?
-2, 0
Let m = 15 + -29/2. Let z = 35/108 + -2/27. Factor z*n**5 - 1/2*n**3 + 1/4*n**4 + 1/4*n - m*n**2 + 1/4.
(n - 1)**2*(n + 1)**3/4
Suppose -z - 4*g - 15 = 10, g = -5. Let m be z/10 - (-14)/4. Suppose 2/3*a**m - 2/3*a**2 + 0 + 0*a = 0. What is a?
0, 1
Let o(k) be the second derivative of -k**7/21 - 2*k**6/15 + k**4/3 + k**3/3 - 14*k. Factor o(y).
-2*y*(y - 1)*(y + 1)**3
Let h = 5914 - 319325/54. Let q = -2/27 + h. Factor 0*p**2 + 1 + q*p**3 - 3/2*p.
(p - 1)**2*(p + 2)/2
Let a(f) = -f**2 + 2*f + 3. Let x(u) = -5 + 5*u**2 - 4*u**2 + 6*u - 10*u. Let r(g) = -5*a(g) - 3*x(g). Factor r(c).
2*c*(c + 1)
Suppose -18 = 3*p - 24. Let o be (-4)/p - (-15 + 10). Find v such that 1/2*v**o - 3/2*v - 1 + 0*v**2 = 0.
-1, 2
Let z = -5 + 8. Let a be 2 - 1/((-3)/z). Factor 1/3*w**a + 1/3*w + 0 - 2/3*w**2.
w*(w - 1)**2/3
Factor -1/4*u**3 - 1/2 + 0*u**2 + 3/4*u.
-(u - 1)**2*(u + 2)/4
Let m(c) = -4*c**2 + 29*c - 61. Let x(u) = 8*u**2 - 59*u + 123. Let l(f) = -5*m(f) - 3*x(f). Let l(d) = 0. Calculate d.
4
Suppose 0*a + 2/17*a**3 + 0 - 2/17*a**2 = 0. Calculate a.
0, 1
Factor -80*m - 18*m**2 - 20 + 17*m - 47*m + 16*m.
-2*(m + 5)*(9*m + 2)
Let q = 120 + -236. Let m be q/(-42) + (-4)/(-6). Factor -2/7*h**4 + 0 - m*h**2 - 16/7*h - 12/7*h**3.
-2*h*(h + 2)**3/7
Suppose b = 2*b - 7. Let o be 1/b + (-4)/28. Find h such that -6/7*h**3 - 2/7*h**4 - 6/7*h**2 + o - 2/7*h = 0.
-1, 0
Let z be (34 - 31)/(0 - -2 - 0). Suppose 0*m + 4*m**4 + 7/2*m**3 + m**2 + 0 + z*m**5 = 0. Calculate m.
-1, -2/3, 0
Let u(h) = -h + 2*h**2 + h**3 + 5*h**2 - 7 + 0*h**2. Let w be u(-7). Factor w*f + 0 + 2/9*f**2.
2*f**2/9
Let j = 22 + 6. Let o = 28 - j. Let 1/3*f + 1/3*f**5 - 2/3*f**3 + 0 + o*f**2 + 0*f**4 = 0. Calculate f.
-1, 0, 1
Suppose y = -y - 4. Let t be y/(-5) - (-259)/140. What is v in 11/4*v + t*v**2 + 1/2 = 0?
-1, -2/9
Suppose -2*n = -2 - 2. Factor 0*t**2 + 4*t**2 - 4*t**2 - n*t**3 + 2*t**2.
-2*t**2*(t - 1)
Let l(c) = 4*c**4 + c**3 - 3. Let p(b) = 5*b**4 + b**3 - 4. Let a(x) = 4*l(x) - 3*p(x). Find z such that a(z) = 0.
-1, 0
Let f(s) be the second derivative of s**4/72 - s**2/12 - 6*s. Find w, given that f(w) = 0.
-1, 1
Let b(g) be the second derivative of 0*g**2 + 0 - 1/4*g**4 - 4*g - 3/20*g**5 + 1/10*g**6 + 1/2*g**3. Factor b(f).
3*f*(f - 1)**2*(f + 1)
Let t(y) be the second derivative of -y**6/55 + y**5/110 - 5*y. Solve t(n) = 0.
0, 1/3
Let f(i) be the second derivative of 37/20*i**5 - 17/30*i**6 + 0 - 2*i**2 + 10/3*i**3 + 1/14*i**7 + 4*i - 13/4*i**4. Suppose f(c) = 0. Calculate c.
2/3, 1, 2
Let i(f) be the second derivative of f**5/120 - f**4/48 + 3*f**2/2 - f. Let s(u) be the first derivative of i(u). Factor s(j).
j*(j - 1)/2
Determine k so that 1 + 1/5*k**2 - 6/5*k = 0.
1, 5
Factor 6/7*x - 8/7 + 2/7*x**2.
2*(x - 1)*(x + 4)/7
Let k be (-1)/3 - 29972/21. Let t = -1425 - k. Determine f so that 0*f**2 + 0*f - 2*f**5 - 4/7*f**3 + 0 - t*f**4 = 0.
-1, -2/7, 0
Determine n, given that 1/3 - 1/3*n**3 + 1/3*n - 1/3*n**2 = 0.
-1, 1
Let b = -119/5 + 24. Factor -2/5 + b*g + 1/5*g**2.
(g - 1)*(g + 2)/5
Factor 1/2*k + 3/4 - 1/4*k**2.
-(k - 3)*(k + 1)/4
Let a(x) be the second derivative of 0 + 1/12*x**4 - 3*x + 0*x**2 + 1/3*x**3. Factor a(o).
o*(o + 2)
Let n be 2/1*(-23)/(-138). Suppose 13/6*w**2 + 19/6*w**3 - 7/2*w**5 - 13/6*w**4 + 0 + n*w = 0. Calculate w.
-1, -1/3, -2/7, 0, 1
Suppose 4 = -3*y + 5*y. Suppose 7*q = y*q + 20. Factor 0*d**3 + 0*d + 0 + 0*d**2 + 2/3*d**q.
2*d**4/3
Let q(y) be the third derivative of -y**7/840 + y**6/160 - y**5/80 + y**4/96 