 + 1. Let k be x(-1). Let t(a) = a**3 + 3*a**2 - 2. Let v(q) = k*t(q) + 4*b(q). Factor v(o).
-2*o**2*(o - 1)
Suppose -15*l = -48 - 27. Let h(s) be the second derivative of 0*s**4 + s + 3*s**2 - 3/20*s**l + 0 + 3/2*s**3. Find i such that h(i) = 0.
-1, 2
Factor 0*b**4 + 0*b**2 + 0*b**3 - 1/7*b**5 + 0*b + 0.
-b**5/7
Let s(o) = 3*o**2 - 1. Let y be s(1). Determine z, given that -11*z + 4*z**y - 3*z**2 + 14*z + 2 = 0.
-2, -1
Solve -5*t**2 + 5 + 5 - 15*t**3 - 71*t**4 + 15*t + 66*t**4 = 0 for t.
-2, -1, 1
Let a(l) be the second derivative of -l**5/20 + l**4/2 - 2*l**3 + 4*l**2 - 9*l. Factor a(d).
-(d - 2)**3
Let j(i) be the third derivative of -1/9*i**3 - 1/12*i**4 + 3*i**2 + 1/105*i**7 + 0 + 0*i + 1/90*i**6 - 1/45*i**5 + 1/504*i**8. Factor j(y).
2*(y - 1)*(y + 1)**4/3
Let i(s) be the third derivative of -3*s**8/15680 + s**7/1470 + s**6/420 - s**4/8 + 4*s**2. Let z(g) be the second derivative of i(g). Factor z(a).
-3*a*(a - 2)*(3*a + 2)/7
Factor 53*m + 147*m + 89*m**2 + 106*m**2 + 60 + 45*m**3.
5*(m + 3)*(3*m + 2)**2
Let m(k) be the first derivative of k**8/1344 - k**7/480 + k**6/720 - 4*k**3/3 + 2. Let t(g) be the third derivative of m(g). Factor t(s).
s**2*(s - 1)*(5*s - 2)/4
Let i(a) = a**3 + 9*a**2 + 13*a - 4. Let u be i(-7). Factor 4/11*y**2 + 2/11*y**u + 0 + 2/11*y.
2*y*(y + 1)**2/11
Determine d, given that -9/4 + 57/8*d**2 + 57/8*d + 3/2*d**3 = 0.
-3, -2, 1/4
Let j = 53 - 53. Let z(i) be the second derivative of -1/40*i**5 + 0 + j*i**2 + 1/12*i**4 + 0*i**3 + 2*i. Factor z(x).
-x**2*(x - 2)/2
Let f be 30/9*(2/10 + 0). Suppose -2/3*m**2 - f - 4/3*m = 0. What is m?
-1
Let z = 21 - 18. Solve -3*h**3 + 6 - z*h + 12*h**2 - 3*h - 9*h = 0.
1, 2
Let m(d) = -2*d**4 - 6*d**3 - 4*d**2 + 2. Let f(x) = -x**2 - x - 1. Let t = 14 - 8. Let s be (-8)/t*6/(-4). Let n(i) = s*f(i) + m(i). Solve n(y) = 0.
-1, 0
Let c(k) be the first derivative of 3*k**4/4 - 10*k**3 - 69*k**2/2 - 36*k - 5. Solve c(a) = 0.
-1, 12
Suppose 9*o - 8*o = 4. Let -6*h + 5*h**2 - h + h**2 - 6 + 3*h**3 + o*h = 0. Calculate h.
-2, -1, 1
Factor 3/2*b**3 + 0 + 3/4*b**4 + 3/4*b**2 + 0*b.
3*b**2*(b + 1)**2/4
Let g be (1 + (-14)/(-6))/(35/14). Find y, given that g*y - 2/3 - 2/3*y**2 = 0.
1
Let p(v) be the second derivative of -27/20*v**5 + 0 + v**3 - 1/4*v**4 - 5/14*v**7 + 0*v**2 + 13/10*v**6 + 2*v. Determine r, given that p(r) = 0.
-2/5, 0, 1
Let c(v) = -30*v**3 - 10*v**2 - 5*v. Let h(u) = -u**3 - u**2 - u. Let f(m) = -c(m) + 25*h(m). Factor f(n).
5*n*(n - 4)*(n + 1)
Let m(u) = u**4 + 9*u**3 + 4*u**2 + 2*u + 2. Let w(l) = 4*l**4 + 45*l**3 + 19*l**2 + 11*l + 11. Let j(h) = 11*m(h) - 2*w(h). What is q in j(q) = 0?
-2, -1, 0
Suppose -340 = -z + 6*z. Let c be z/(-36) + 4/(-18). Factor 1/3*n**3 - 4/3*n**2 + c*n - 2/3.
(n - 2)*(n - 1)**2/3
Let u(i) be the first derivative of -i**4/2 + 2*i**3 + i**2 - 6*i - 60. Factor u(d).
-2*(d - 3)*(d - 1)*(d + 1)
Suppose -2*h = -5*h. Let b(o) be the second derivative of -1/3*o**3 + h*o**2 + 1/6*o**4 + 0 - 2*o. Factor b(u).
2*u*(u - 1)
Let b(u) be the first derivative of -u**3/21 + u**2/14 + 54. Factor b(k).
-k*(k - 1)/7
Let y(v) = v**4 + v**2 + v - 1. Let i(w) = -196*w**5 + 296*w**4 + 208*w**3 + 48*w**2 + 16*w - 16. Let t(x) = i(x) - 16*y(x). Factor t(m).
-4*m**2*(m - 2)*(7*m + 2)**2
Let t(x) be the first derivative of -x**6/24 + 7*x**5/60 - x**4/12 + 3*x**2/2 + 1. Let g(y) be the second derivative of t(y). Factor g(r).
-r*(r - 1)*(5*r - 2)
Let q(d) be the first derivative of 3/4*d**4 + 3/10*d**2 - 2 + 6/5*d - 8/5*d**3. Factor q(k).
3*(k - 1)**2*(5*k + 2)/5
Let w(z) be the third derivative of -z**8/90720 + z**7/22680 + z**6/1620 + z**5/15 - 2*z**2. Let n(k) be the third derivative of w(k). Factor n(b).
-2*(b - 2)*(b + 1)/9
Suppose 5 = 3*l - 2*n, 25*n = 4*l + 30*n - 22. Let -4/5*b**l - 2/5 + 2/5*b**2 + 1/5*b**5 + 3/5*b + 0*b**4 = 0. What is b?
-2, -1, 1
Let o(r) be the third derivative of -r**5/60 + r**4/12 - r**3/6 - 9*r**2. Factor o(a).
-(a - 1)**2
Suppose -6 - 8 + 0*a - 5*a + 9 + 5*a**2 + 5*a**3 = 0. Calculate a.
-1, 1
Let x(g) = -g + 1. Let o be x(1). Suppose o = -k - 4*k. Factor k*d**2 - 2/9*d**3 + 2/3*d + 4/9.
-2*(d - 2)*(d + 1)**2/9
Factor -14*w**2 + 0 + 28*w**2 - 16*w**2 + 2.
-2*(w - 1)*(w + 1)
Let a(l) = l**3 - 8*l**2 + 5*l - 9. Let j be a(8). Let z = 31 - j. Factor z + 14/9*g**2 + 2/3*g**4 - 16/9*g**3 - 4/9*g.
2*g*(g - 1)**2*(3*g - 2)/9
Let f(u) = -3*u**3 + 7*u**2 - 5*u - 9. Let h(s) = -16*s**3 + 36*s**2 - 26*s - 45. Let q(i) = 22*f(i) - 4*h(i). Factor q(r).
-2*(r - 3)**2*(r + 1)
Factor -12/7 - 132/7*u - 363/7*u**2.
-3*(11*u + 2)**2/7
Let s(i) be the third derivative of i**8/1008 + i**7/90 + i**6/20 + i**5/9 + i**4/9 - 63*i**2. Let s(v) = 0. Calculate v.
-2, -1, 0
Let m be 7/(-35) - (-46)/5. Let d be 2/m + 4/(-18). Solve 0*w**2 - 1/5*w**4 + 0*w - 1/5*w**3 + d = 0.
-1, 0
Suppose 10/13*g + 4/13 - 6/13*g**2 = 0. Calculate g.
-1/3, 2
Let h(p) be the second derivative of p**4/24 - 3*p**3/2 + 81*p**2/4 + 29*p. Factor h(k).
(k - 9)**2/2
Let y = 463/20 - -27/20. Solve y*r**3 + 14*r**2 + 2*r + 0 = 0 for r.
-2/7, 0
Suppose -4*c + 54 = -34. Let p be 4 - (-4 + c/4). Factor -1/2*w - 3/2*w**3 + 1/2 - p*w**2.
-(w + 1)**2*(3*w - 1)/2
Let y(z) = -z**3 + z + 5. Let o be y(0). Solve -1/4*i**3 + 0 + 0*i + i**4 + 3/4*i**o - 1/2*i**2 = 0 for i.
-1, 0, 2/3
Let k be 15*(1/1)/3. Let s(q) be the second derivative of 0 + 5*q**3 + 6*q**4 + 14/5*q**k + 2*q**2 - 3*q. Solve s(a) = 0 for a.
-1/2, -2/7
Let k(b) be the second derivative of b**7/315 + b**6/180 - b**5/90 - b**4/36 + 2*b**2 + 2*b. Let g(v) be the first derivative of k(v). Factor g(o).
2*o*(o - 1)*(o + 1)**2/3
Let b(k) be the second derivative of 1/10*k**5 + k + 0*k**2 + 1/6*k**7 + 0 + 0*k**3 + 0*k**4 - 3/10*k**6. Suppose b(z) = 0. What is z?
0, 2/7, 1
Suppose j + 4 = 1. Let v be (18/3 + j)*1. What is c in -16/9*c + 10/9*c**2 + 8/9 - 2/9*c**v = 0?
1, 2
Let a(p) = -p**3 + p**2 + p + 1. Let r(x) = -9*x**3 + 33*x**2 - 39*x + 39. Let z(k) = -12*a(k) + r(k). Suppose z(q) = 0. What is q?
-9, 1
Let m = 15 - 12. Suppose -m*y**4 + y**4 - 8*y**5 + 5*y**5 - y**4 = 0. What is y?
-1, 0
Let n(z) be the third derivative of -z**6/60 + z**5/120 - 27*z**2. Factor n(p).
-p**2*(4*p - 1)/2
Let x(j) be the second derivative of j**6/105 - j**4/42 - 4*j. Factor x(g).
2*g**2*(g - 1)*(g + 1)/7
Let j(c) be the second derivative of 3*c**5/140 - c**4/14 + c**3/14 - 18*c. Factor j(b).
3*b*(b - 1)**2/7
Suppose 6*z - 2 = 5*z. Factor 4 - z*l**2 + 3*l**2 - 2*l**2 + 0.
-(l - 2)*(l + 2)
Let c be (5 + -1)*(-8)/(-80). Factor 2/5*g - c*g**3 + 0 + 0*g**2.
-2*g*(g - 1)*(g + 1)/5
Let u(x) be the second derivative of x**4/9 - 2*x**3/9 + x**2/6 + 8*x. Suppose u(f) = 0. Calculate f.
1/2
Suppose 0 = -87*d + 71*d + 32. Factor 0 - 2/11*m**5 - 4/11*m**d + 2/11*m + 0*m**3 + 4/11*m**4.
-2*m*(m - 1)**3*(m + 1)/11
Suppose -2/5*n + 0 + 2/5*n**2 = 0. Calculate n.
0, 1
Let m(c) be the first derivative of -c**2 - 3*c + 3. Let l be m(-4). Suppose -2*g**4 + 3*g**2 - 4*g**l - 3*g**2 = 0. What is g?
-1/2, 0
Determine x so that -48 + 12*x**2 - 6 - 12*x + 3*x**3 + 3*x = 0.
-3, 2
Let q be (1 - 4) + 10 + -2. Determine t, given that 3*t**3 + 9*t - q*t**3 - 10*t + 3*t**2 = 0.
0, 1/2, 1
Suppose -5*i = -3 - 2. Let x(o) = 2*o**5 + 4*o**4 + o**3 - 4*o**2 - 3*o - 3. Let f(p) = -p**3 + p + 1. Let t(q) = i*x(q) + 3*f(q). Suppose t(c) = 0. What is c?
-2, -1, 0, 1
Let x(j) = -j**2 + 4*j + 6. Let h be x(5). Suppose -n + 3 = -h. Factor 5*w**n + 2*w - 4*w**3 - 12*w**2 - 5*w + 7*w**3 + 7*w**4.
3*w*(w - 1)*(w + 1)*(4*w + 1)
Let p(x) = -6*x**3 + 2*x. Let l be p(-2). Let u(b) = -b + 1. Let r(h) = h**2 - 14*h + 11. Let c(k) = l*u(k) - 4*r(k). Suppose c(j) = 0. What is j?
0, 3
Let 10/11*f**5 + 0*f + 0*f**2 + 0 + 6/11*f**4 - 4/11*f**3 = 0. Calculate f.
-1, 0, 2/5
Let c(v) be the third derivative of v**8/1680 + v**7/420 - v**6/360 - v**5/60 - 7*v**3/6 + 5*v**2. Let m(l) be the first derivative of c(l). Factor m(b).
b*(b - 1)*(b + 1)*(b + 2)
Let b = 233/2 - 114. Let l be -1 + 7 + 153/(-51). Factor -5/2*r + b*r**4 - 5*r**l + 1/2 + 5*r**2 - 1/2*r**5.
-(r - 1)**5/2
Suppose 0 = 5*u - 17 + 7. Suppose 0 = -2*h - u*h - 3*a, 3*a = 3*h - 21. Factor -11/3*v**2 - 2/3*v + 1/3 + 4*v**h.
(v - 1)*(3*v + 1)*(4*v - 1)/3
Let r(p) be the second derivative of -p**6/48 + p**5/40 + p**4/24 + p**2/2 - p. Let g(u) be the first deriva