3 + 2/11*a**4 - 6/11*a - 4/11 = 0. Calculate a.
-2, -1, 1
Let 8 + 28*a**3 - 7*a**4 + 23*a**4 + 32*a - 10*a**4 + 46*a**2 = 0. Calculate a.
-2, -1, -2/3
Let l(s) = 2*s**5 - 17*s**4 + 33*s**3 - 20*s**2 + 2*s - 3. Let j(t) = -t**5 + t**4 + t**3 - t - 1. Let u(z) = -3*j(z) + l(z). Factor u(a).
5*a*(a - 1)**4
Let q(t) be the third derivative of t**7/3780 + t**6/810 + t**5/540 - t**3/6 - 4*t**2. Let j(i) be the first derivative of q(i). Find y such that j(y) = 0.
-1, 0
Let c(l) = -l**5 - l**2 - l**3 + l**3 + l**3 + l**4. Let o = -32 - -34. Let s(d) = 2*d**4 - 4*d**3 + 2*d**2. Let f(g) = o*c(g) + s(g). Factor f(n).
-2*n**3*(n - 1)**2
Let 0 + 0*u**3 - 4/9*u**4 + 2/9*u - 2/9*u**5 + 4/9*u**2 = 0. Calculate u.
-1, 0, 1
Let x(i) = -i**2 + 9*i - 3. Let s be x(8). Let v be -4*((-15)/40)/1. Let -v*r**s + 9/2*r**3 + r**4 + 0*r**2 - 2*r + 0 = 0. Calculate r.
-1, 0, 2/3, 2
Let i = 19 - 18. Suppose 3 = p - i. Determine v so that 6/7*v**2 - 2/7*v**3 + 2/7*v - 2/7*v**p - 4/7 = 0.
-2, -1, 1
Let f = -312/5 + 64. Suppose 126/5*h**2 + 64/5*h + f = 0. Calculate h.
-2/7, -2/9
Let j be (11 + -10)*(10 + 1). Suppose -3*z + 9 = -0*z + 3*f, f = -5*z + j. Find l such that 0*l - 1/3 + 1/3*l**z = 0.
-1, 1
Factor 5*m**4 + m**2 + 2*m**2 - 45*m + 25*m**3 + 12*m**2 + 0*m**2.
5*m*(m - 1)*(m + 3)**2
Let f(i) be the first derivative of 5 - 1/12*i**2 + 0*i + 1/18*i**3. Factor f(o).
o*(o - 1)/6
Let a(h) be the second derivative of h**8/23520 - h**7/2940 + h**6/840 - h**5/420 + h**4/6 + 3*h. Let f(x) be the third derivative of a(x). Factor f(u).
2*(u - 1)**3/7
Let t be (5/20)/(3/2). Let u(w) be the second derivative of -t*w**3 + 0 + 1/6*w**4 + 2*w + 0*w**2 - 1/20*w**5. Factor u(z).
-z*(z - 1)**2
Factor -2/7*h**2 - 338/7 + 52/7*h.
-2*(h - 13)**2/7
Let u(b) = -6*b**5 + 4*b**4 + 18*b**3 - 8*b - 2. Let x(l) = -6*l**5 + 4*l**4 + 18*l**3 - 8*l - 3. Let p(h) = 6*u(h) - 4*x(h). Suppose p(t) = 0. Calculate t.
-1, 0, 2/3, 2
Let j(d) be the first derivative of 4/9*d**3 + 0*d + 3 - 4/15*d**5 + 1/3*d**4 - 2/3*d**2. Solve j(c) = 0.
-1, 0, 1
Suppose 0 = -4*s + b + 7 + 3, -2*s = -3*b. Determine w so that w**3 + 3*w - 7*w + w**s + 3*w**2 - w**2 = 0.
-2, 0, 1
Factor 0*d**2 + 0 + 1/4*d**3 - 1/4*d.
d*(d - 1)*(d + 1)/4
Let m(q) be the first derivative of 3*q**4/20 - 6*q**3/5 + 18*q**2/5 - 24*q/5 + 4. Let m(w) = 0. What is w?
2
Let v = 53/24 - 15/8. Let 0 + 1/3*c**3 + 0*c**2 - v*c = 0. What is c?
-1, 0, 1
Let l(g) be the first derivative of -16*g**5 + 10*g**4 - 5*g**3/3 - 7. Factor l(f).
-5*f**2*(4*f - 1)**2
Let j(x) be the third derivative of x**6/60 - x**5/30 + 8*x**2. Factor j(w).
2*w**2*(w - 1)
Let a(r) = -4*r**2 - r - 7. Let t(z) = 7*z**2 + 3*z + 13. Let o(w) = 5*a(w) + 3*t(w). Determine i so that o(i) = 0.
-2
Suppose -2*g = 3*g - 10. Suppose n**4 + g*n**2 + 2*n**4 - 5*n**4 = 0. Calculate n.
-1, 0, 1
Let h(l) be the second derivative of -2/3*l**3 + l + 0*l**2 + 0 - 1/6*l**4. Solve h(b) = 0 for b.
-2, 0
Let b be (4/(-3))/((-16)/4). Let j be 1/((-6)/(-8)) + -1. Factor -2/3*z - j*z**2 - b.
-(z + 1)**2/3
Find m, given that -m**3 + 0*m - 1/2*m**4 - 1/2*m**2 + 0 = 0.
-1, 0
Let b(k) be the second derivative of -2*k - 4*k**2 - 1/6*k**4 + 0 - 4/3*k**3. Determine h, given that b(h) = 0.
-2
Let r = 608/5 - 121. Let b(s) be the first derivative of 2/3*s**6 - 5/4*s**4 - s**3 + r*s**5 + 0*s + 1/2*s**2 + 4. Factor b(n).
n*(n - 1)*(n + 1)**2*(4*n - 1)
Let l(a) be the third derivative of a**2 + 0 + 1/70*a**7 + 0*a**3 - 1/224*a**8 - 1/80*a**6 + 0*a + 0*a**5 + 0*a**4. Suppose l(b) = 0. Calculate b.
0, 1
Let h(l) = -l - 1. Let t(p) = p**3 - 3*p**2 + 8*p + 6. Let g(z) = -30*h(z) - 5*t(z). Factor g(d).
-5*d*(d - 2)*(d - 1)
Solve -2*q**3 + 262 - 262 - 4*q**2 = 0 for q.
-2, 0
Let 12*y**2 - 7*y**2 + 0*y**2 - 7*y**2 - 18 + 12*y = 0. Calculate y.
3
Suppose 4*v + 0*v - 8 = 0. Let x be -7 - (2 - (-357)/(-35)). Find g, given that -g + 1/5 + x*g**v = 0.
1/3, 1/2
Solve 0*p**2 - 1/5*p**3 + 0*p + 0 - 4/5*p**4 = 0.
-1/4, 0
Factor 0 + 0*l + 4/3*l**2 - 16/3*l**3 + 4*l**4.
4*l**2*(l - 1)*(3*l - 1)/3
Let b = 159 - 791/5. Suppose 0 = 4*v - 5*o - 0 + 5, -5*o + 30 = v. Solve 2/5 + b*f**v + 6/5*f**4 - 8/5*f**2 - 4/5*f**3 + 0*f = 0.
-1, 1/2, 1
Let v(d) be the second derivative of -2*d**6/15 + 8*d. Factor v(l).
-4*l**4
Let l(u) = -u**3 + 10*u**2 - u + 13. Let b be l(10). Solve -2*s**2 + 0*s**4 - b*s**4 + 4*s**4 + 1 = 0.
-1, 1
Let w(k) be the third derivative of k**9/52920 + k**8/23520 - k**7/8820 - k**6/2520 - k**4/8 - 3*k**2. Let r(v) be the second derivative of w(v). Factor r(b).
2*b*(b - 1)*(b + 1)**2/7
Let u = -2 - -4. Determine b, given that -1 + 3 + u*b**5 - 2 = 0.
0
Let n be (-8)/20*(-5)/(-4)*-1. Find x such that x + n + 1/2*x**2 = 0.
-1
Let k(f) be the third derivative of -f**7/42 - f**6/8 - f**5/12 + 5*f**4/8 + 5*f**3/3 + 15*f**2. Suppose k(j) = 0. Calculate j.
-2, -1, 1
Let w(t) = -t**3 - 11*t**2 - 10*t - 15. Let z be w(-10). Let g be (-20)/(-8)*(-4)/z. Factor 8*s + 4*s**2 + g*s**3 + 16/3.
2*(s + 2)**3/3
Let s(b) be the first derivative of b**4/12 + 49. Find z such that s(z) = 0.
0
Determine o, given that -16/5 - 1/5*o**2 - 8/5*o = 0.
-4
Let v(c) be the second derivative of 3*c**5/100 + c**4/10 - 7*c**3/10 + 6*c**2/5 - 32*c. Solve v(x) = 0.
-4, 1
Let a = 4135/4 - 1033. Let -1/4*q**4 - 1/2 - 1/4*q**3 + 1/4*q + a*q**2 = 0. Calculate q.
-2, -1, 1
Let p be (3/9 - 0)/1. Let u(a) be the first derivative of p*a**2 - 1/9*a**3 + 2 - 1/3*a. What is d in u(d) = 0?
1
Let u(r) be the second derivative of r**4/4 - 63*r**3/8 - 6*r**2 + 53*r. Factor u(c).
3*(c - 16)*(4*c + 1)/4
Let l(b) = -b**2 + b. Let t(a) = -3*a**2 + 7*a - 2. Let p(z) = 6*l(z) - t(z). Factor p(y).
-(y + 1)*(3*y - 2)
Let b(o) be the third derivative of -4*o**2 + 0 - 1/24*o**4 - 1/360*o**5 + 0*o - 1/4*o**3. Factor b(t).
-(t + 3)**2/6
Let m(t) be the second derivative of -t**7/21 + t**6/5 - t**5/5 - t**4/3 + t**3 - t**2 - 3*t. Determine o, given that m(o) = 0.
-1, 1
Let c = -49/92 + 18/23. Factor -c*g + 5/4*g**2 + 0.
g*(5*g - 1)/4
Let h(r) be the first derivative of 1/4*r**2 + 1/4*r**3 - 1/4*r + 1. Factor h(x).
(x + 1)*(3*x - 1)/4
Let c(z) = -z**4 - z**3 + z**2 + 10*z. Let g(w) = -w**4 - w**3 + w**2 + 5*w. Let h(p) = -4*c(p) + 9*g(p). Suppose h(b) = 0. What is b?
-1, 0, 1
Let t be (-36)/10 + -6 + (-1 - -11). Factor 2/5*b**4 - 2/5*b**5 - 2/5*b**2 + 0 + t*b**3 + 0*b.
-2*b**2*(b - 1)**2*(b + 1)/5
Suppose -2*l + 12 = 8. Let q(r) be the second derivative of -1/252*r**7 - 3*r + 1/72*r**4 + 0 - 1/180*r**6 + 1/120*r**5 + 0*r**3 + 0*r**l. Factor q(m).
-m**2*(m - 1)*(m + 1)**2/6
Let j(b) = 3*b**3 + 21*b**2 - 9*b. Let o(z) = z**3 + 10*z**2 - 4*z. Let x(y) = -4*j(y) + 9*o(y). Solve x(f) = 0 for f.
0, 2
Let y = 106 - 59. Let f = y - 187/4. Factor -f + 1/4*u**3 - 1/4*u + 1/4*u**2.
(u - 1)*(u + 1)**2/4
Let o = -201 + 403/2. Factor 7/4*x**3 - 7/4*x - o + 1/2*x**2.
(x - 1)*(x + 1)*(7*x + 2)/4
Let d(i) be the second derivative of 2*i - 1/6*i**3 - 1/30*i**6 + 0 + 1/30*i**5 + 1/6*i**2 + 1/18*i**4 + 1/126*i**7. Factor d(m).
(m - 1)**4*(m + 1)/3
Let z(l) be the first derivative of 2*l**5/5 + l**4 - 2*l**3 - 4*l**2 + 8*l + 3. Find v such that z(v) = 0.
-2, 1
Solve 0 + 2/5*y**2 - 2/5*y = 0 for y.
0, 1
Let v(i) be the second derivative of i**8/84 - 13*i**7/210 + i**6/8 - 7*i**5/60 + i**4/24 - i**2/2 - 5*i. Let y(h) be the first derivative of v(h). Factor y(g).
g*(g - 1)**3*(4*g - 1)
Let i(k) = k**2 + k. Let g be i(-2). Let a**3 + 0 + 0*a - 3/4*a**4 - 1/4*a**g = 0. Calculate a.
0, 1/3, 1
Let o = 15 + -12. What is s in o*s**2 + 0*s - 6 - 9*s + 6*s = 0?
-1, 2
Let j(r) be the second derivative of -5*r**4/12 + 4*r**3/3 - 8*r**2/5 - 6*r. Factor j(o).
-(5*o - 4)**2/5
Let z(s) be the third derivative of -s**6/180 + 7*s**5/180 - s**4/18 - 2*s**3/9 - 21*s**2 + 2. Let z(c) = 0. Calculate c.
-1/2, 2
Suppose -4*f = -5*h - 9 + 20, -4*f = 4*h - 16. Solve -21 - 6*r + 21 + h*r**2 = 0.
0, 2
Let j(k) be the second derivative of -1/12*k**4 + 0*k**3 + 7/60*k**6 + 0*k**2 + 0 - 1/8*k**5 + k. Let j(o) = 0. What is o?
-2/7, 0, 1
Let u(h) be the second derivative of h**6/360 - h**5/90 + 2*h**2 + 3*h. Let t(o) be the first derivative of u(o). Solve t(p) = 0.
0, 2
Suppose 2/3*z**2 - 4/3*z + 0 = 0. What is z?
0, 2
Let y = 419 - 417. What is q in -2/7*q**y + 4/7 + 2/7*q = 0?
-1, 2
Factor -5/4*s + s**2 - 1/4*s**3 + 1/2.
-(s - 2)*(s - 1)**