q**6/12 + q**5/10 + q**4/24 + 4*q. Factor k(r).
r**2*(r + 1)**2*(2*r + 1)/2
Let i(n) be the third derivative of -1/840*n**8 + n**2 + 0*n**6 + 0 + 0*n + 0*n**4 + 0*n**7 + 0*n**3 + 0*n**5. Factor i(o).
-2*o**5/5
Let c = 63/4 - 61/4. Factor 0 + 1/2*q**3 - 1/2*q**4 + c*q**2 - 1/2*q.
-q*(q - 1)**2*(q + 1)/2
Let w(o) = 2*o**2 + o - 1. Let v be w(-2). Suppose -25 = 5*t - 5*g, v*g - 11 - 14 = -t. Factor -6*m**3 - 4*m**2 + 0*m**4 - m**5 - m + 0*m - 4*m**4 + t*m.
-m*(m + 1)**4
Let g(y) be the third derivative of 1/420*y**6 - 1/735*y**7 + 1/70*y**5 - 5*y**2 - 5/84*y**4 + 2/21*y**3 + 0*y + 0. Let g(k) = 0. What is k?
-2, 1
Let o(f) = -11*f - 2. Let x be o(-7). Let -x*i + 11*i - i**3 + 2*i**4 + 48*i**2 - 15*i**3 + 32 = 0. What is i?
2
Suppose -7*b - 74 + 88 = 0. Factor -4/3*d**2 - 2/3*d**4 + 0 + 0*d - b*d**3.
-2*d**2*(d + 1)*(d + 2)/3
Let n be 8/16 - 11/(-2). Let m be n*1/(-70)*-5. Solve 3/7*i**5 - m*i**3 + 0*i**4 + 0*i**2 + 0 + 0*i = 0.
-1, 0, 1
Let w be 3/(-9)*1/2. Let n = 2/3 + w. Find z, given that 1/4*z + 1/4*z**5 + 0*z**2 + 0 - n*z**3 + 0*z**4 = 0.
-1, 0, 1
Suppose -88*l = -81*l. Factor l - 4*a**4 - 9/4*a**2 + 1/4*a + 6*a**3.
-a*(a - 1)*(4*a - 1)**2/4
Solve -57*p**2 + 7*p - 40*p**4 + 5*p**5 + 38*p - 63*p**2 + 73*p**3 + 37*p**3 = 0.
0, 1, 3
Let o(h) be the second derivative of 1/4*h**4 + 4*h + 0*h**3 + 0 - 3/2*h**2. Factor o(n).
3*(n - 1)*(n + 1)
Let h(u) = 6*u**2 + 6*u - 4. Let b(j) = -11*j**2 - 12*j + 7. Let l(y) = 4*b(y) + 7*h(y). Suppose l(x) = 0. Calculate x.
-3, 0
Let z(j) be the third derivative of 0*j + 0 - 2/3*j**3 - 1/30*j**5 - 2*j**2 - 1/4*j**4. Find q, given that z(q) = 0.
-2, -1
Let z(a) = 6*a**2 - 8*a + 2. Let w(h) = -2 + 4 + 3 - 9*h - 3 + 7*h**2. Let j(i) = 5*w(i) - 6*z(i). Factor j(t).
-(t - 2)*(t - 1)
Let d be (-6)/12 - 3/(-6). Let o(m) be the first derivative of -2/15*m**3 + 0*m**2 - 1 - 8/25*m**5 + d*m + 1/2*m**4. Find i such that o(i) = 0.
0, 1/4, 1
Suppose 2*m + 5*j = -3*m + 10, 3*m + j - 10 = 0. Determine c so that 3*c**4 - 8*c**4 - 3*c**m - 4*c**5 + 4*c + 8*c**2 = 0.
-1, 0, 1
Let a be (-4)/2 + 7/2. Suppose -3/2*v - 1 + a*v**3 + v**2 = 0. What is v?
-1, -2/3, 1
Suppose -v = v - 30. Suppose -r - v = -6*r. Suppose 12/5*a**4 + 38/5*a**r + 4/5 + 22/5*a + 44/5*a**2 = 0. What is a?
-1, -2/3, -1/2
Let o(m) be the second derivative of 3*m**5/20 - 3*m**4/2 + 9*m**3/2 + 24*m. Factor o(c).
3*c*(c - 3)**2
Let f(w) = -w**2 + 13*w + 17. Let b be f(14). Let g(n) = n + 2. Let h be g(0). Let 0 + 1/4*p**4 + 0*p**b - 1/2*p - 3/4*p**h = 0. Calculate p.
-1, 0, 2
Let v be 1*-3 + (2 - -4). Suppose -u = -4*m + 28, m - v*u = 5*m - 12. Factor -5*z**3 - 6*z**2 + 2*z**3 - 2 + 5*z**3 + m*z.
2*(z - 1)**3
Let g(w) = w**3 + w. Let x be ((-3)/9)/((-3)/9). Let h be g(x). Determine f so that 1/2 + 1/2*f - 1/2*f**3 - 1/2*f**h = 0.
-1, 1
Let w(c) be the second derivative of 3*c**7/28 + 29*c**6/40 + 123*c**5/80 + 3*c**4/8 - 5*c**3/2 - 3*c**2 + 8*c. Let w(z) = 0. What is z?
-2, -1, -1/2, 2/3
Let s(c) = -c**2 - c - 3. Let a(y) = 1. Let v(w) = -5*a(w) - s(w). Find z such that v(z) = 0.
-2, 1
Let m = -15145/11 + 1377. Suppose -4/11*y - m*y**3 + 0 + 6/11*y**2 = 0. Calculate y.
0, 1, 2
Let u(y) = y - 3. Let q be u(3). Let z(x) be the second derivative of 1/36*x**4 + 0*x**2 + 0 - 2*x + q*x**3. Factor z(h).
h**2/3
Let r be 4/(-5 - 3)*-2. Let g be -3 + ((-36)/(-8) - r). What is j in -g - 1/2*j**3 + 1/2*j**2 + 1/2*j = 0?
-1, 1
Let c be 1/(-3)*(-10 + 4). Factor -2*k**4 + 0*k**4 + 4*k**2 - 2 + 0*k**c.
-2*(k - 1)**2*(k + 1)**2
Let r be ((-2)/(-25))/((-120)/(-50)). Let i(z) be the second derivative of 1/126*z**7 + 1/20*z**5 - 1/36*z**4 + 0*z**2 - r*z**6 + 0*z**3 + 0 - 4*z. Factor i(t).
t**2*(t - 1)**3/3
Suppose 0 = -3*w + w - 4*m + 6, -2*w - 2*m = -12. Factor 2*a**2 - w*a + 2 - 2*a + 15*a.
2*(a + 1)**2
Let b be ((-1)/(-2))/(4/8). Let v = 1 - b. Factor -4*j + 2*j**3 - j**5 - j**4 + j + 2*j**2 + v + 2*j - 1.
-(j - 1)**2*(j + 1)**3
Let t(r) = -r**3 - 4*r**2 - 4*r + 1. Let w be t(-3). Factor 5*p**3 + 0*p**3 - w*p**3.
p**3
Suppose 0 = 4*s + 5 + 11. Let c be (s/8)/((-1)/6). Find y, given that 0 + 1/2*y**c + 1/2*y - y**2 = 0.
0, 1
Find j such that 0 - 4/7*j**2 - 4/7*j = 0.
-1, 0
Let a(o) = o**2 - 3*o + 2. Let q be a(2). Let r(t) = t**2 + 4. Let u be r(q). Factor 2*d + 2 - 4*d**2 + 2*d**u - d**5 - 3*d**3 + 3*d**5 - d**3.
2*(d - 1)**2*(d + 1)**3
Let l = 6 - 3. Suppose -l*w + s + 2 = -1, s - 7 = -2*w. Factor w*x**3 + x - x**3 - 2*x.
x*(x - 1)*(x + 1)
Factor 1/2*m**2 - 3*m**3 + 1/2*m + 0.
-m*(2*m - 1)*(3*m + 1)/2
Let b = -973/3 - -301. Let p = -23 - b. Suppose 1/3*t**3 + 1/3 - p*t**2 - 1/3*t = 0. Calculate t.
-1, 1
Factor 10/3 - 35/3*j + 15*j**2 + 5/3*j**4 - 25/3*j**3.
5*(j - 2)*(j - 1)**3/3
Let t(d) = 4*d**3 - 5. Let o(l) = 6*l**3 - 8. Let u = 8 - 16. Let a be (0 + 10)*(-17)/(-34). Let m(n) = a*o(n) + u*t(n). Factor m(q).
-2*q**3
Let b = -4 + 1. Let u be (-1)/(1 - b/(-2)). Factor -2*g - u*g**3 + 2*g.
-2*g**3
Let q(w) be the second derivative of -w**8/1848 - w**7/1155 + 4*w**2 + 4*w. Let a(j) be the first derivative of q(j). Factor a(r).
-2*r**4*(r + 1)/11
Let w(a) = -17*a**2 - 44*a - 44. Let t(d) = 6*d**2 + 15*d + 15. Let q(s) = 8*t(s) + 3*w(s). Find u such that q(u) = 0.
-2
Let w(v) = 5 - 4*v**4 + 9*v**4 - 8*v**3 + 2*v**4 + 2*v + 0*v. Let h(k) = 23*k**3 - 14 - 3*k**4 + 0*k - 17*k**4 - 6*k. Let n(i) = -6*h(i) - 17*w(i). Factor n(s).
(s - 1)**3*(s + 1)
Let p(s) be the first derivative of 5*s**3/3 - 5*s - 12. Factor p(o).
5*(o - 1)*(o + 1)
Solve 6/7*q**3 + 0*q + 0*q**4 - 4/7*q**2 - 2/7*q**5 + 0 = 0.
-2, 0, 1
Let w(o) be the first derivative of -o**4/30 + 4*o**3/45 + o**2/15 - 4*o/15 - 6. Factor w(a).
-2*(a - 2)*(a - 1)*(a + 1)/15
What is y in 0 + 2/11*y**4 + 8/11*y**2 + 8/11*y**3 + 0*y = 0?
-2, 0
Let 1/5*n**5 - 4/5*n**3 - 3/5*n**4 + 0*n + 0*n**2 + 0 = 0. Calculate n.
-1, 0, 4
Factor 0*t**2 + 3/2*t**5 + 0 + 3/2*t**3 + 3*t**4 + 0*t.
3*t**3*(t + 1)**2/2
Let c = 10 - 8. Let h be 12/(-45)*9/(-6). Factor 0 - 2/5*m**c - h*m.
-2*m*(m + 1)/5
Let 1/3*l**2 + 11/3 - 4*l = 0. Calculate l.
1, 11
Let v = -5/18 + 16/9. Let r(t) be the first derivative of 0*t + v*t**2 - 3/5*t**5 + 3 - 3/4*t**4 + t**3. Factor r(x).
-3*x*(x - 1)*(x + 1)**2
Suppose 2*b + 4*f - 6 = 2*f, -5*f + 11 = 4*b. Solve x + x**2 - x**b - x = 0 for x.
-1, 0, 1
Factor 1/3*m**3 + 0 - 4/3*m**2 + 0*m.
m**2*(m - 4)/3
Let r(n) = n**2 + 13*n. Let j be r(-13). Let l(v) be the third derivative of 0*v + 3*v**2 - 1/108*v**4 + j + 0*v**3 + 1/270*v**5. Suppose l(d) = 0. Calculate d.
0, 1
Let o(a) be the third derivative of a**8/112 + a**7/35 - 3*a**6/40 - a**5/5 + a**4/2 - 16*a**2. Suppose o(v) = 0. Calculate v.
-2, 0, 1
Suppose 0*n - 7/2*n**2 + 0 - 1/2*n**3 = 0. Calculate n.
-7, 0
Let f = -5 - -3. Let z = f + 4. Determine x, given that -4 + 2 + x**z - 4*x - 3*x**2 = 0.
-1
Let t = 22/3 + -20/3. Suppose 4*m + 6 = -2*y - 6, -2*m = -5*y + 18. Solve -y*k**2 - t*k**3 - 2/3 - 2*k = 0 for k.
-1
Suppose -3*q + 19 - 1 = 0. Let a(b) be the third derivative of -1/120*b**q + 1/24*b**4 + 0 + 1/6*b**3 + b**2 - 1/60*b**5 + 0*b. Suppose a(y) = 0. Calculate y.
-1, 1
Let u(k) = -k**2 - k - 1. Let y(t) = t - 7. Let x be y(6). Let o(i) = 4*i**2 - i + 7. Let m(s) = x*o(s) - 3*u(s). Factor m(n).
-(n - 2)**2
Let n be (2/(-8))/((-2)/4). Suppose -1374*q + 1376*q = 10. What is x in 3/2*x**4 + 0 + 0*x + n*x**2 + 3/2*x**3 + 1/2*x**q = 0?
-1, 0
Let m be (10/(-4))/((-66)/12 + 5). Let i(j) be the first derivative of 2 + j - 1/3*j**3 - 1/12*j**6 + 1/2*j**4 + 0*j**m - 3/4*j**2. Let i(v) = 0. What is v?
-2, -1, 1
Let h(i) = i**2 + i. Let b be h(-2). Let j(s) be the second derivative of 2*s + 5/3*s**3 + 0 - 1/2*s**4 + b*s**2. Determine w, given that j(w) = 0.
-1/3, 2
Let b be (20/(-14))/((-2)/14). Let w(r) = r**3 - 10*r**2 + r - 7. Let g be w(b). Factor -2/9*z**4 + 0*z - 4/9*z**g + 0 - 2/9*z**2.
-2*z**2*(z + 1)**2/9
Let a(z) be the second derivative of 1/5*z**6 + 0 + 3*z - 1/5*z**5 - 1/21*z**7 - z**2 - 1/3*z**4 + z**3. Determine p, given that a(p) = 0.
-1, 1
Let m(y) be the second derivative of -1/10*y**6 - 1/4*y**3 + 0*y**2 + 0 + 0*y**4 - 6*y + 9/40*y**5. Let m(b) = 0. Calculate b.
-1/2, 0, 1
Let z be ((3 - 4)/((-3)/6))/4. Determine o, given that 1 + 3/2*o + z*o**2 = 0.
-2, -1
Let b(j) = 15*j**2 - 55*j + 16. Let s(o) be the third derivative of o**5/30 - 7*o**4/24 + o**3/3 + 2*o**2. 