/9 + 10/9*c**2 + 26/9*c = 0.
-1, 7
Let i(u) = 2*u**4 - 16*u**3 + 18*u**2 - 8*u + 4. Let h(o) = 2*o**4 - 15*o**3 + 18*o**2 - 9*o + 4. Let p(l) = 6*h(l) - 5*i(l). Let p(a) = 0. What is a?
1, 2
Suppose -23*u = -26*u. Let f(b) be the second derivative of 1/10*b**4 - 3/100*b**5 + 0*b**2 + 0 - 4*b + u*b**3. Find s, given that f(s) = 0.
0, 2
Let b(h) = -h**3 - 2*h**2 + h - 4. Let w be b(-3). Let u = -39/16 - -149/48. Find v, given that -u*v + 0 - w*v**2 = 0.
-1/3, 0
Let o(c) = -2*c**3 + 21*c**2 + 10*c + 11. Let a be o(11). Factor 2/5*l**3 + a*l + 2/5*l**2 + 0.
2*l**2*(l + 1)/5
Suppose 0*n - 5*n = -2*r - 273, 105 = 2*n - 5*r. Let q be (-17)/(-33) - 10/n. Solve -4/3*b - q*b**2 - 4/3 = 0 for b.
-2
Let w(x) be the third derivative of 0*x**4 + 0*x**3 - 5*x**2 + 1/525*x**7 - 1/150*x**6 + 1/150*x**5 + 0*x + 0. Factor w(u).
2*u**2*(u - 1)**2/5
Let h be 2 + -4 + 4 + 1. Factor 1/3 - u**h - 1/3*u - 5/3*u**2.
-(u + 1)**2*(3*u - 1)/3
Let i be (-20)/27*(420/8)/(-7). Let s(q) = q**3 + 3*q**2 - q - 1. Let p be s(-3). Solve 14/3*k**3 + 8/9*k - i*k**5 - 40/9*k**p + 0 + 40/9*k**4 = 0 for k.
-1, 0, 2/5, 1
Factor 24/5 - 33/5*g**2 + 54/5*g.
-3*(g - 2)*(11*g + 4)/5
Let l = 434 - 434. Factor -2/3*w**2 - 2/3*w**3 + l + 0*w.
-2*w**2*(w + 1)/3
Let i(p) = 8*p**2 + 11*p - 3. Let j(z) = -2*z. Let w be j(7). Let m(q) = q**2 + q - 1. Let s(b) = w*m(b) + 2*i(b). Factor s(n).
2*(n + 2)**2
Let q(f) be the third derivative of -6*f**2 + 0 - 1/2*f**3 + 1/20*f**5 + 0*f**4 + 0*f. Find w such that q(w) = 0.
-1, 1
Let h(g) = g**2 - g. Let v(c) = -5*c**2 + 10*c - 8. Let k(u) = 4*h(u) + v(u). Determine b so that k(b) = 0.
2, 4
Let s(n) be the second derivative of -n**7/210 + n**6/120 + n**2 - 5*n. Let w(p) be the first derivative of s(p). Find r, given that w(r) = 0.
0, 1
Let m(q) = q**2 + 21*q - 11. Let x(g) = -4*g + 2. Suppose -2*h - 4*j - 10 = 0, 2*h + 11 + 19 = j. Let c = h + 24. Let w(s) = c*x(s) + 2*m(s). Factor w(v).
2*v*(v - 1)
Let f be (12/14)/(45/42). Let d(u) be the first derivative of f*u**5 - 1 - 4/3*u**3 + 0*u**4 + u**2 + 0*u - 1/3*u**6. Solve d(z) = 0.
-1, 0, 1
Let r(w) = 4*w**4 + 10*w**3 - 6*w**2 + 2*w + 8. Let h(t) = 11*t**4 + 29*t**3 - 17*t**2 + 5*t + 23. Let j(z) = -6*h(z) + 17*r(z). Let j(v) = 0. Calculate v.
-1, 1
Let s(b) = b**2 + b. Let y(t) = 28*t**3 + 12*t**2 + 4*t. Let g(q) = -4*s(q) + y(q). Solve g(v) = 0.
-2/7, 0
Suppose 0 = 2*g - 7*g + 10. Factor 2*n + 4*n**3 - 4*n**3 - 4 - 2*n**3 + 4*n**g.
-2*(n - 2)*(n - 1)*(n + 1)
Let g = 57/7 + -271/35. Solve 0*m + 0 + g*m**3 - 8/5*m**2 = 0 for m.
0, 4
Let o(n) be the third derivative of -n**8/1680 + n**6/300 - n**4/120 + 11*n**2. Factor o(a).
-a*(a - 1)**2*(a + 1)**2/5
Let u = 463 + -460. Let -2/9*i**u - 2/9*i**2 + 0 + 0*i = 0. Calculate i.
-1, 0
Let u be 3*(-16)/12 - -7. Let g(r) be the third derivative of 0 - 1/210*r**7 + 0*r**6 + u*r**2 + 0*r**4 + 1/30*r**5 + 0*r - 1/6*r**3. Factor g(s).
-(s - 1)**2*(s + 1)**2
Let t(j) = j**2 + 8*j + 2. Let d be t(-8). Factor 0 + 2/5*u**4 - 1/5*u + 0*u**3 + 1/5*u**5 - 2/5*u**d.
u*(u - 1)*(u + 1)**3/5
Let x(o) = -o**2 + 7*o - 3. Let n be x(6). Determine g, given that 1/5*g**2 + 2/5*g + 0 - 1/5*g**n = 0.
-1, 0, 2
Let g(p) be the third derivative of p**6/180 + p**5/30 + p**4/12 + p**3/9 - 3*p**2. Factor g(o).
2*(o + 1)**3/3
Suppose -2*i - c = -4*c + 16, -24 = 3*i + 2*c. Let n = 11 + i. Suppose 7/2*p + p**n - 7*p**2 - 1/2 + 15/2*p**4 - 9/2*p**5 = 0. What is p?
-1, 1/3, 1
Let u = -93 + 3721/40. Let y(q) be the second derivative of 0*q**2 + q + 1/24*q**4 - 1/60*q**6 + 1/12*q**3 + 0 - u*q**5. Let y(b) = 0. Calculate b.
-1, 0, 1
Let q(i) be the third derivative of -i**5/120 + i**4/24 - i**2 - 15*i. Solve q(w) = 0 for w.
0, 2
Let p be ((-12)/(-10))/((-6)/20). Let x(m) = m**4 - m**3 + m. Let z(j) = j**5 - 8*j**4 + 10*j**3 - 4*j**2 - 3*j. Let b(t) = p*x(t) - z(t). Factor b(v).
-v*(v - 1)**4
Let v be (-46)/(-69) - 3/45. Solve 0 + v*k**3 + 0*k + 0*k**2 = 0 for k.
0
Let q(f) be the second derivative of 8*f**6/75 - 42*f**5/25 - 29*f**4/20 - 11*f**3/30 - 14*f + 3. Factor q(x).
x*(x - 11)*(4*x + 1)**2/5
Let z be 2*-2*(-9)/12. Factor 3/2*t**4 + 1/2*t**5 + 0*t + 0 + 1/2*t**2 + 3/2*t**z.
t**2*(t + 1)**3/2
Suppose -6 = -3*u - 30. Let g(s) = s + 10. Let a be g(u). Solve 0*c**a + 0 - 2/5*c**3 + 2/5*c = 0.
-1, 0, 1
Let z be (2/2 - 1)/((-4)/(-2)). Let c(h) be the first derivative of 1/9*h**3 + z*h**2 - 1/3*h - 2. Factor c(s).
(s - 1)*(s + 1)/3
Factor -15*u**2 + u**3 + 17*u**3 - 5*u**4 - 5*u + 10*u - 3*u**3.
-5*u*(u - 1)**3
Suppose 0 - 1/5*p**5 + 2/5*p**4 - 2/5*p**2 + 0*p**3 + 1/5*p = 0. What is p?
-1, 0, 1
Let t be (-4)/(-14) - 132/(-28). Suppose 0 = y + 1 - t. Factor 0 - 2/5*i**5 + 2/5*i**y + 0*i + 2/5*i**3 - 2/5*i**2.
-2*i**2*(i - 1)**2*(i + 1)/5
Factor i**2 - 6*i + 34 + 2*i**2 - 34.
3*i*(i - 2)
Let h(c) be the second derivative of -9*c + 0*c**2 + 0 + 0*c**4 + 1/3*c**3 - 1/10*c**5. Find y such that h(y) = 0.
-1, 0, 1
Let j be ((-4)/(-10))/(8/(-1728)). Let m = 88 + j. Suppose -6/5*r**2 - 2/5*r**4 + 8/5*r + m - 8/5*r**3 = 0. What is r?
-2, -1, 1
Suppose 0 = 97*n - 87*n - 30. Solve 1656/5*z**4 - 778/5*z**n - 16/5 - 188/5*z**2 + 136/5*z - 162*z**5 = 0.
-2/5, 2/9, 1
Let s(d) be the first derivative of -2*d**3/15 - 8*d**2/5 - 32*d/5 - 4. Factor s(x).
-2*(x + 4)**2/5
What is r in 0 - 2*r**4 + 4/3*r - 8/3*r**3 + 10/3*r**2 = 0?
-2, -1/3, 0, 1
Let b(m) be the third derivative of m**6/840 + m**5/420 - m**4/168 - m**3/42 - 9*m**2. Factor b(c).
(c - 1)*(c + 1)**2/7
Let z(m) be the second derivative of -2*m - 4/3*m**3 + 0 + 8/3*m**2 + 1/3*m**4 - 1/30*m**5. Determine s, given that z(s) = 0.
2
Let y(u) = u**2 + 11*u + 11. Let q be y(-9). Let t = -3 - q. Let t*r**2 + r**2 - 3*r**2 - r**2 - r = 0. Calculate r.
0, 1
Factor 0 - 1/2*m**2 - 3/2*m.
-m*(m + 3)/2
Let y(t) be the third derivative of -t**8/1176 + t**7/735 + t**6/420 - t**5/210 - 13*t**2. Factor y(q).
-2*q**2*(q - 1)**2*(q + 1)/7
Suppose 14*u = 7*u + 14. Suppose 128*w**4 + 81/2 - 384*w**3 - 216*w + 432*w**u = 0. Calculate w.
3/4
Suppose 0*z - 6*z = -24. Solve 0 - 1/4*d**z - 1/2*d**3 - 1/4*d**2 + 0*d = 0 for d.
-1, 0
Let n(k) be the third derivative of 1/180*k**4 - 6*k**2 + 0*k + 0 - 1/900*k**6 - 1/225*k**5 + 2/45*k**3. Factor n(r).
-2*(r - 1)*(r + 1)*(r + 2)/15
Suppose 0 = x + 2*t, -3*x + 9 = -40*t + 37*t. Suppose 0*m + 0 - 2/3*m**x = 0. Calculate m.
0
Let u(v) be the third derivative of -v**7/3780 - v**6/1620 + 2*v**3/3 + 2*v**2. Let s(q) be the first derivative of u(q). Find w, given that s(w) = 0.
-1, 0
Let c(i) = -13*i**5 - 11*i**4 + 17*i**3 - 7*i**2 - 11*i. Let q(a) = -a**5 - a**4 + a**3 - a**2 - a. Let o(f) = -2*c(f) + 22*q(f). Solve o(x) = 0 for x.
-1, 0, 2
Let z(q) = -q**3 - 8*q**2 - 6*q + 9. Let v be z(-7). Solve a**4 - 8*a**v + 4*a**5 - a + 8*a**4 - 3*a - a**4 = 0 for a.
-1, 0, 1
Factor -1/3*l**3 + l**4 + 2/3 + 1/3*l - 5/3*l**2.
(l - 1)**2*(l + 1)*(3*l + 2)/3
Let k(v) be the first derivative of -4*v**3/3 + 18*v**2 - 32*v + 2. Factor k(r).
-4*(r - 8)*(r - 1)
Let v(p) be the first derivative of -6*p + 4 + 2*p**3 + 3/4*p**4 - 3/2*p**2. Factor v(o).
3*(o - 1)*(o + 1)*(o + 2)
Let y be (-1 - -7) + 22 + -25. Factor a**y - 1/2 + 1/4*a**5 - 1/2*a**2 + a**4 - 5/4*a.
(a - 1)*(a + 1)**3*(a + 2)/4
Let i(t) = -t**2 + 6*t + 9. Let q be i(7). Let j(w) = -w**3 + 4*w**2 - 3*w. Let u be j(q). Factor 4*f - 5*f**2 - f**4 - 1 - f**2 + 0*f**u + 4*f**3.
-(f - 1)**4
Let a(n) = 2*n**5 - 2*n**4 - 4*n**3 + 4*n - 4. Let k(t) = -t**5 + t**3 - t + 1. Let c(p) = a(p) + 4*k(p). Suppose c(w) = 0. What is w?
-1, 0
Suppose -5*j - 3*m = -8*m + 10, -3*j + 2 = m. Factor j*u - 2/3 + 2/3*u**2.
2*(u - 1)*(u + 1)/3
Let h = -130/9 - -160/9. Factor -2*p**2 + h*p + 4/3.
-2*(p - 2)*(3*p + 1)/3
Suppose 3*q + 5*q = 4*q. Factor 0*b + 1/4*b**4 + 1/2*b**2 + q + 3/4*b**3.
b**2*(b + 1)*(b + 2)/4
Suppose -2/9*f + 2/3*f**3 - 4/9 + 8/9*f**2 = 0. What is f?
-1, 2/3
Let 3/2*k**3 + 20*k**4 + 1/2*k + 0 - 56/3*k**5 - 10/3*k**2 = 0. What is k?
-3/7, 0, 1/4, 1
Suppose 8*i + 28 = 4*i. Let s be (-21)/i + (-22)/8. Factor -1/4*m**2 - s*m + 0.
-m*(m + 1)/4
Let r(p) be the third derivative of p**4/24 + p**3/6 + p**2. Let d be r(-1). Find w such that 0*w**2 + 2*w**2 - 2*w + d*w = 0.
0, 1
Let p(u) be the second derivative of -u**8/10080 - u**7/1890 - u**6/1080 + u**4/4 + 2*u. Let b(x) be the third derivative of p(x). Factor b(c).