13*z**4 + 0 + 0*z**2 + 2/13*z**3.
2*z**3*(z - 1)**2/13
Factor q**3 + 3*q**3 + q**3 - 4*q**4 - q**3.
-4*q**3*(q - 1)
Suppose -3*b - 3 = -4*b. Let c(k) be the second derivative of 1/15*k**5 - 5/36*k**4 + 0 + 0*k**2 + 1/18*k**b + 2*k. Determine s so that c(s) = 0.
0, 1/4, 1
Let k be (-1 - -6)*(-12)/(-10). Factor -x**2 - 3*x**2 + k*x**2 + 2*x + 0*x.
2*x*(x + 1)
Let g be 2*((-1735)/36)/(-5). Let m = 39/2 - g. What is q in m*q**2 + 2/9 + 4/9*q = 0?
-1
Let c(y) be the first derivative of 1/12*y**4 - 1/6*y**2 + 3 + 1/15*y**5 + 0*y - 1/9*y**3. Let c(b) = 0. Calculate b.
-1, 0, 1
Let o(r) be the first derivative of 2 - 8/9*r**3 + 1/12*r**4 - 2/3*r**2 + 0*r + 1/6*r**6 + 8/15*r**5. Find s such that o(s) = 0.
-2, -1, -2/3, 0, 1
Let n(m) = m**5 + 3*m**4. Let p(k) = 4*k**5 + 10*k**4 - k**3. Let g(u) = 14*n(u) - 4*p(u). Let g(w) = 0. What is w?
-1, 0, 2
Let m(g) = g**2 - 10*g + 6. Let p = -28 - -38. Let r be m(p). Factor r*l**3 - 16/3*l**2 + 0 + 8/9*l.
2*l*(3*l - 2)*(9*l - 2)/9
Suppose u - 20 = s - 4*u, 0 = 4*s + 3*u - 12. Factor 0 + s*x - 2/5*x**3 + 4/5*x**2.
-2*x**2*(x - 2)/5
Let f(c) be the second derivative of -3*c**5/20 + c**4/4 + c**3 + 13*c. Factor f(r).
-3*r*(r - 2)*(r + 1)
Let l(s) be the third derivative of 0*s**5 + 0 - 2/315*s**7 + 1/504*s**8 + 1/180*s**6 + 0*s**4 + 0*s**3 + 0*s + 3*s**2. Factor l(i).
2*i**3*(i - 1)**2/3
Let m(s) be the third derivative of s**7/245 + s**6/210 - 2*s**5/105 - s**4/42 + s**3/21 + s**2. Find v such that m(v) = 0.
-1, 1/3, 1
Let s be 16/(-8)*-2 - (-4)/(-2). Factor 1/2*y**s + 0 - y.
y*(y - 2)/2
Let f(a) be the second derivative of -a**5/35 + 5*a**4/21 - 2*a**3/3 + 6*a**2/7 - 14*a. Factor f(y).
-4*(y - 3)*(y - 1)**2/7
Let b = 266468/67 + -3977. Let n = b + 205/469. Factor 64/7*l**2 - 10/7*l**5 + n + 44/7*l**4 - 26/7*l - 76/7*l**3.
-2*(l - 1)**4*(5*l - 2)/7
Let l(n) be the third derivative of 0*n - 1/36*n**4 + 0 + 0*n**3 - 1/315*n**7 + 1/180*n**6 + 2*n**2 + 1/90*n**5. Solve l(x) = 0.
-1, 0, 1
Let m be 0*2/6 - 2. Let w(s) = s**4 + s**3 - s**2 + 1. Let a(x) = x**5 + 3*x**4 + x**3 - 3*x**2 + 2. Let d(c) = m*a(c) + 4*w(c). Factor d(q).
-2*q**2*(q - 1)*(q + 1)**2
Let f(u) be the third derivative of -7*u**6/60 - 4*u**5/15 - 4*u**4/21 + 7*u**2. Solve f(t) = 0.
-4/7, 0
Let x = 62/3 - 20. Let f(d) be the second derivative of -2*d**4 - d - 5/6*d**6 + 0*d**2 + 9/4*d**5 + x*d**3 + 0. Solve f(s) = 0 for s.
0, 2/5, 1
Factor 0 - 6/5*x - 2/15*x**3 + 4/3*x**2.
-2*x*(x - 9)*(x - 1)/15
Let d(f) be the second derivative of -9*f**5/5 - 2*f**4/3 + 6*f**3 + 4*f**2 - 7*f. Suppose d(z) = 0. Calculate z.
-1, -2/9, 1
Let j be -4*2*(-3)/12. Solve 3*t**3 + t + 1 - 3*t**2 + t**3 - 5*t**3 + j*t**2 = 0.
-1, 1
Let k(f) = 29*f**5 - 80*f**4 + 11*f**3 + 102*f**2 - 9. Let a(m) = -7*m**5 + 20*m**4 - 3*m**3 - 26*m**2 + 2. Let t(n) = -9*a(n) - 2*k(n). Factor t(x).
5*x**2*(x - 3)*(x - 2)*(x + 1)
Determine t, given that -20/3*t + 2/3*t**2 - 22/3 = 0.
-1, 11
Let k = 2 + 0. Let n(r) = -r**3 + 6*r**2 - r + 8. Let h be n(6). Factor -3*x**2 + 3*x**2 - 4 + 2*x**k + h*x.
2*(x - 1)*(x + 2)
Let n(y) be the third derivative of -y**6/720 + y**5/240 + 4*y**3/3 + 3*y**2. Let h(v) be the first derivative of n(v). Factor h(f).
-f*(f - 1)/2
Suppose -5*b = -0*b - 30. Suppose -4*l + b*l = 4. Factor -q + 0*q + q**2 - l*q**2 + q**3 + 1.
(q - 1)**2*(q + 1)
Find w such that 2*w**2 - 14*w - w - 3*w**2 - 4*w**2 = 0.
-3, 0
Let r be 8/(-7)*6/(-8). Let l be (-5)/28 - 3/(-4) - 0. Factor -r*f**2 + l + 2/7*f.
-2*(f - 1)*(3*f + 2)/7
Let z(f) = 0 - f**3 + 26*f - 27*f - 1. Let u(o) = -9*o**3 - 20*o**2 - 37*o - 21. Let s(t) = -u(t) + 5*z(t). Let s(b) = 0. Calculate b.
-2, -1
Let s be (-2)/(-18) + (-736)/(-180) + -4. Solve -s + 2/5*z**3 - 1/5*z**5 - 1/5*z**4 - 1/5*z + 2/5*z**2 = 0 for z.
-1, 1
Let z = 602 - 600. Determine a so that -a**3 + 0 + 0*a - 1/4*a**4 - 3/4*a**z = 0.
-3, -1, 0
Suppose -5*o - 5 = -3*c + 6, 4*c + o - 7 = 0. Determine s, given that 0 + 2/3*s**3 + 4/3*s**c + 2/3*s = 0.
-1, 0
Let v be (-8)/(-6)*3/2. Factor 8*n**4 + 10*n - 10*n**2 - 10*n**3 + 2*n**2 + 2*n**2 - v.
2*(n - 1)**2*(n + 1)*(4*n - 1)
Let x(r) be the third derivative of r**6/84 - 8*r**5/315 + r**4/63 - 14*r**2. Factor x(u).
2*u*(3*u - 2)*(5*u - 2)/21
Suppose t + 21 = 8*t. Let g(a) be the first derivative of -3 + 2/3*a + 4/3*a**2 + 2/3*a**t. What is o in g(o) = 0?
-1, -1/3
Let t = -103/3 + 35. Factor 0 + 0*v**2 + 0*v**4 - 2/3*v**3 + 0*v + t*v**5.
2*v**3*(v - 1)*(v + 1)/3
Let o(i) = 2*i**4 + i**3 + 4*i**2 + 2*i + 3. Let x(a) = -5*a**4 - 2*a**3 - 9*a**2 - 5*a - 7. Let z(d) = 7*o(d) + 3*x(d). Find w such that z(w) = 0.
-1, 0, 1
Let h(k) be the third derivative of k**5/60 + k**4/12 - k**3/2 + 15*k**2. Let o be h(2). Factor -2/9*u**o - 8/9*u + 4/3*u**4 - 26/9*u**3 + 0 + 8/3*u**2.
-2*u*(u - 2)**2*(u - 1)**2/9
Suppose -5*j - 1 + 11 = 0. Let s(q) be the second derivative of -1/9*q**3 + 0 + 1/36*q**4 - 2*q + 1/6*q**j. Let s(a) = 0. Calculate a.
1
Let k(q) be the first derivative of -q**6/24 + q**4/8 - q**2/8 - 11. Factor k(n).
-n*(n - 1)**2*(n + 1)**2/4
Let z(c) = 5*c - 52. Let n be z(11). Factor -2/3*l + 4/9 + 2/9*l**n + 0*l**2.
2*(l - 1)**2*(l + 2)/9
Suppose 0 = 3*i - 16 + 4. Let r be (1 + (-2)/i)*4. Find k, given that -7/3*k**4 + 0*k**r + 2/3*k**3 + 0*k + 0 = 0.
0, 2/7
Let t = 18 - 16. Let p(o) be the second derivative of -o + 0 + 1/12*o**4 + 0*o**t + 0*o**3 - 1/20*o**5. Let p(f) = 0. What is f?
0, 1
Let g(d) be the second derivative of -d**7/315 - d**6/180 + d**5/90 + d**4/36 + d**2/2 + d. Let x(f) be the first derivative of g(f). Solve x(z) = 0 for z.
-1, 0, 1
Let p = -138 + 972/7. Suppose 4/7 + p*u + 2/7*u**2 = 0. What is u?
-2, -1
Determine t, given that 3*t**4 + 36 + 0*t**4 - 18*t**2 + 4*t**3 - 20 - t**4 - 4*t = 0.
-4, -1, 1, 2
Let s(n) be the third derivative of n**6/105 + n**5/210 - n**4/21 - n**3/21 - 14*n**2. Factor s(z).
2*(z - 1)*(z + 1)*(4*z + 1)/7
Let w(u) be the second derivative of 11*u**6/15 - 2*u**4/3 - u**2 - 3*u. Let g(t) = -9*t**4 + 3*t**2 + 1. Let j(d) = 12*g(d) + 5*w(d). Factor j(c).
2*(c - 1)**2*(c + 1)**2
Suppose -2 + 1 - 86*h**4 + 0 + 2*h**2 + 85*h**4 = 0. Calculate h.
-1, 1
Let r(q) be the third derivative of -q**5/420 - q**2. Factor r(l).
-l**2/7
Let f be 4/6*(-6)/(-4). Let q be (f - (-9)/(-4))*-4. Solve q - 5 + 2*g**4 - 3*g**2 - 2*g + 3*g**3 = 0.
-2, -1/2, 0, 1
Let c be ((-2)/(-3)*1)/2. Factor 0 + 1/3*h**3 - 2/3*h + c*h**2.
h*(h - 1)*(h + 2)/3
Let i(u) = -u**3 + 3*u**2 - 3*u + 3. Let a be (-3)/(-6)*2*2. Let k be i(a). Factor 1 - d**4 - k.
-d**4
Let b(v) = 2*v**2 - 5*v + 4. Let d be b(5). Let f = -29 + d. Factor 0 - 2/9*i**2 + f*i.
-2*i**2/9
Let g(f) = 2*f**3 - 14*f**2 + f - 4. Let o be g(7). Factor 0 - 2/5*d**4 + 0*d**o + 0*d + 2/5*d**2.
-2*d**2*(d - 1)*(d + 1)/5
Let t(i) be the second derivative of -i**4/4 + 4*i**3 - 24*i**2 - 41*i. What is a in t(a) = 0?
4
Let w(d) be the second derivative of 9*d**5/80 + d**4/16 - d. Factor w(x).
3*x**2*(3*x + 1)/4
Let h be (-8)/2 + 3 + -3. Let q(c) = 4*c**3 + 3*c**2 + 3*c - 5. Let y(b) = -2*b**3 - 2*b**2 - 2*b + 2. Let t(l) = h*q(l) - 9*y(l). Factor t(j).
2*(j + 1)**3
Let m(p) = p**3 + 5*p**2 - 6*p + 8. Let y be m(-6). Suppose -2*h - 4 + y = -5*s, 0 = -4*h + 3*s + 8. What is n in 0*n**2 + 1 + n**2 - h = 0?
-1, 1
Let a = 2 + 1. Factor z**3 - z - 2*z**2 + 3*z**3 + 6 - 3*z**a - 4.
(z - 2)*(z - 1)*(z + 1)
Suppose 0 + 2/7*z**2 - 2/7*z + 2/7*z**3 - 2/7*z**4 = 0. Calculate z.
-1, 0, 1
Let l = -8063/9 + 897. Let r = 29/18 - l. Suppose -1/2*n**4 + 0*n + 0*n**2 + 0 - r*n**3 = 0. What is n?
-1, 0
Factor -379*h - 5*h**5 - 40*h**3 + 20*h**2 + 25*h**4 + 379*h.
-5*h**2*(h - 2)**2*(h - 1)
Let v be (-49 - -46)*2/(-14). Let 3/7*y**4 + 0 - v*y - 3/7*y**2 + 3/7*y**3 = 0. What is y?
-1, 0, 1
Let i(m) be the third derivative of m**8/3360 + m**7/210 + m**6/30 + 2*m**5/15 + m**4/24 - m**2. Let h(j) be the second derivative of i(j). Factor h(a).
2*(a + 2)**3
Let z = -7 - -12. Suppose -m**z + 8 + m - 3*m**3 + 3*m - 10*m**2 + 2*m**3 + 4*m**4 = 0. Calculate m.
-1, 2
Let s(z) be the second derivative of 0*z**4 - 1/420*z**6 + 0 - z**2 - 2*z + 0*z**3 + 1/105*z**5. Let o(i) be the first derivative of s(i). Solve o(m) = 0.
0, 2
Let w(c) = -c**3 - 4*c**2 + 8*c + 17. Let q be w(-5). Suppose 0 + 1/2*h**4 + 1/2*h + 3/2*h**3 + 3/2*h**q = 0. What is h?
-1, 0
Determine d so that -d**5 + 4*d - 5*d + 