-4/11*q**f - 2/11*q**5 + 6/11*q**4 + 6/11*q - 2/11 - 4/11*q**3.
-2*(q - 1)**4*(q + 1)/11
Let d be (5 - 4)/(2/6). Let t(g) = d*g - 8 - 8*g**2 + 0*g - 5*g. Let r(i) = -23*i**2 - 5*i - 23. Let f(c) = 6*r(c) - 17*t(c). Factor f(h).
-2*(h - 1)**2
Suppose -2*c - 8 - 6 = 0. Let z = c - -10. What is v in -v**2 + z*v**2 - 3*v**2 + 4*v**2 = 0?
0
Determine l, given that 0 + 3/2*l**2 - 3*l = 0.
0, 2
Let q(v) = -3*v**2 + 13*v + 6. Let x be q(-6). Let h be (-8)/x*(4 - -6). Solve 2/9*n + 2/9*n**3 - h*n**2 + 0 = 0.
0, 1
Let w = -3/74 - -83/222. Let h(z) be the third derivative of 0*z - 1/30*z**6 + 13/60*z**5 + 3*z**2 + 0 + w*z**3 - 11/24*z**4. Factor h(i).
-(i - 2)*(i - 1)*(4*i - 1)
Let u = -2 - 0. Let m(x) = -x**3 - x**2. Let k(w) = 5*w**3 + 18*w**4 - 3*w - 17*w**4 + 1 + 15*w**2 - w. Let b(g) = u*k(g) - 18*m(g). Let b(i) = 0. Calculate i.
1
Let d(a) = -2*a**4 - 2*a**3 - 2*a**2 + 3*a - 3. Let c(p) = -3*p**4 - 3*p**3 - 4*p**2 + 5*p - 5. Let w(u) = -6*c(u) + 10*d(u). Let w(j) = 0. Calculate j.
-2, 0, 1
Let s = 16 + -14. Suppose 2*v + 3*v**2 - v**2 + 9*v**4 - 1 - 2*v**5 - 8*v**3 - s*v**4 = 0. What is v?
-1/2, 1
Let r(a) = -a**4 + 9*a**3 + 18*a**2 + 3*a - 3. Let t(l) = 2*l**4 - 8*l**3 - 18*l**2 - 4*l + 4. Let y(u) = 4*r(u) + 3*t(u). Solve y(s) = 0.
-3, 0
Let n(l) be the second derivative of -l**5/60 + l**4/12 - l**3/9 - 14*l. Determine t so that n(t) = 0.
0, 1, 2
Let y(u) be the second derivative of 0*u**2 + 0 + 1/20*u**5 + 0*u**3 + 5*u - 1/6*u**4. Factor y(n).
n**2*(n - 2)
Let a be (-20)/30 + (-182)/(-30). Let x = a - 103/20. Determine r, given that -x*r**4 - 1/4 + 1/4*r**5 - 1/2*r**3 + 1/2*r**2 + 1/4*r = 0.
-1, 1
Let s(c) be the first derivative of -c**7/336 + c**6/240 + c**5/120 - c**3/3 + 1. Let t(g) be the third derivative of s(g). Factor t(y).
-y*(y - 1)*(5*y + 2)/2
Let k(h) = -h**2 + 3*h + 4. Let r be k(5). Let t be 2/3 - (-4)/r. Factor -8/9*l**2 - 4/9*l**4 - 2/9*l + t - 10/9*l**3.
-2*l*(l + 1)**2*(2*l + 1)/9
Factor -16/7*s - 12/7*s**3 + 0 - 2/7*s**4 - 24/7*s**2.
-2*s*(s + 2)**3/7
Find w such that -3/7*w**3 - 6/7*w**2 - 3/7*w + 0 = 0.
-1, 0
Let z(a) be the second derivative of 1/20*a**5 + 2/9*a**4 + 2*a + 7/18*a**3 + 1/3*a**2 + 0. Factor z(q).
(q + 1)**2*(3*q + 2)/3
Factor 48/13*r - 72/13 + 22/13*r**2 + 2/13*r**3.
2*(r - 1)*(r + 6)**2/13
Let u(v) = 2*v**3 - 5*v**2 + 8*v + 3. Let i(f) = 10*f**3 - 26*f**2 + 40*f + 14. Let s(k) = 3*i(k) - 14*u(k). Solve s(h) = 0 for h.
0, 2
Let l be 6/27 + 48/27. Let j be l + 5/(5/(-2)). Factor j - 1/2*a - 1/2*a**2.
-a*(a + 1)/2
Let y(k) be the second derivative of -k**9/1008 + k**8/280 - k**6/60 + k**5/40 + k**3/2 - k. Let l(b) be the second derivative of y(b). Solve l(j) = 0 for j.
-1, 0, 1
Let u(y) = y**3 + 16*y**2 + 15*y + 4. Let w be u(-15). Suppose -86/11*k**2 + 2*k + 146/11*k**3 - 2/11 - 112/11*k**w + 32/11*k**5 = 0. Calculate k.
1/4, 1
Let t = -1/5 - -7/5. Let t*n - 9/5*n**2 + 0 = 0. What is n?
0, 2/3
Factor 0*t + 2 + 5/2*t**5 - 19/2*t**2 - 17/2*t**3 + 3/2*t**4.
(t - 2)*(t + 1)**3*(5*t - 2)/2
Let z(q) be the first derivative of -q**4/18 - 4*q**3/27 - q**2/9 + 6. Factor z(o).
-2*o*(o + 1)**2/9
Let v(k) = 3*k**2 - k - 4. Let b(z) = z**2 + z. Let c be (-6)/21 + (-16)/(-7). Let r = c - -3. Let q(o) = r*b(o) - v(o). Factor q(s).
2*(s + 1)*(s + 2)
Solve -6*q**3 + 14 + 4*q**2 + 14*q - 3*q**4 - 2 + 10*q + 5*q**2 = 0 for q.
-2, -1, 2
Let d be (-1)/3*42/(-7). Let t(n) be the second derivative of -n - 1/18*n**3 - 1/9*n**4 + 0 - 1/20*n**5 + 0*n**d. Factor t(f).
-f*(f + 1)*(3*f + 1)/3
Solve 17 + 12 + 3 - 3*m**2 + 5*m**2 - 16*m = 0.
4
Suppose -8*s + a + 5 = -7*s, a = 3*s - 5. Solve 2/13*x**3 + s + 2/13*x**4 + 0*x + 0*x**2 = 0 for x.
-1, 0
Let h(a) = -10*a - 1. Let x be h(-2). Suppose 8 = 5*r - 4*q - x, 5*r - 12 = -q. Suppose 0*v**2 - 2/5*v**4 + 2/5*v**r + 0 + 0*v = 0. What is v?
0, 1
Let w be (1 + (-2)/4)*4. Factor -2/3*m**3 - 2*m - 2*m**w - 2/3.
-2*(m + 1)**3/3
Let s be (4/(-14))/(108/(-63))*4. Factor 0 - s*p**3 - 1/3*p**4 - 1/3*p**2 + 0*p.
-p**2*(p + 1)**2/3
Let x be 2/(((-6)/9)/1). Let d(s) = s**2 - 4*s. Let o(u) = -u**2 + 3*u. Let a(n) = x*d(n) - 4*o(n). Factor a(m).
m**2
Let k = 173 - 1209/7. Factor -4/7 + 10/7*r - 8/7*r**2 + k*r**3.
2*(r - 2)*(r - 1)**2/7
Let l be (16/20)/(6/15). Let 15*s**l + 5 + 13 - 6 + 24*s + 3*s**3 = 0. Calculate s.
-2, -1
Let z be 2*-1*(17/(-2) - -7). Let f(m) be the second derivative of -z*m - 3*m**5 - m**3 + 0*m**2 + 9/10*m**6 + 0 + 13/4*m**4. Determine p so that f(p) = 0.
0, 2/9, 1
Let y(s) be the first derivative of -7*s**5/20 - 23*s**4/16 - 9*s**3/4 - 13*s**2/8 - s/2 + 1. Determine r so that y(r) = 0.
-1, -2/7
Let b(k) be the first derivative of -1/4*k**2 - 1/16*k**4 - 1/4*k**3 - 4 + 0*k. Find l, given that b(l) = 0.
-2, -1, 0
Factor 0 - 9/4*v**3 - 7/4*v**2 - 5/4*v**4 - 1/4*v**5 - 1/2*v.
-v*(v + 1)**3*(v + 2)/4
Let y(x) be the first derivative of -14*x**5/45 - 23*x**4/18 - 4*x**3/9 - 29. Factor y(h).
-2*h**2*(h + 3)*(7*h + 2)/9
Let l(y) be the first derivative of -1 + 1/3*y**3 - 1/2*y**2 + 0*y + 1/4*y**4 - 1/5*y**5. Factor l(j).
-j*(j - 1)**2*(j + 1)
Factor 16*h**2 - 6*h - 8 + 12*h - 14*h**2.
2*(h - 1)*(h + 4)
Let q(s) be the first derivative of 5*s**3/12 + 35*s**2/4 + 245*s/4 + 8. Factor q(g).
5*(g + 7)**2/4
Let w(k) = 4*k**2 - k - 1. Let i be w(-1). Factor -14*z + 2*z**i - 6*z**2 + 4 + 13*z**2 - 10*z**3 + 11*z**2.
2*(z - 2)*(z - 1)**3
Let o = -3 - -3. Suppose -i - 2 = -x, 2 = 5*i - o*i - 2*x. What is z in 3*z**i + 4/3 + 4*z = 0?
-2/3
Let m(u) = u**3 - u**2 - 2*u. Let y be m(2). Suppose -4*f - 5*o = -2*f + 8, -5*f + 2*o + 38 = y. Factor f*v - 4/3 - 14/3*v**2.
-2*(v - 1)*(7*v - 2)/3
Let w = 86 + -86. Factor 2/3*h**2 + 0*h + w.
2*h**2/3
Solve 183*j + 64*j**2 + 172 - 23*j - 72 = 0 for j.
-5/4
Let h be 2 - -1*(1 - 0). Let o be (6 - (-9)/(-2))/(4 + 2). Suppose 0 + 1/4*f**2 + o*f**4 + 0*f - 1/2*f**h = 0. Calculate f.
0, 1
Suppose 5*v + 17 = 4*j, -21 = 4*j + 4*v + 7. Let q = j + 2. What is h in q*h**2 + 2/11*h**3 + 0 + 2/11*h**5 + 4/11*h**4 + 0*h = 0?
-1, 0
Solve -41*s**2 - 3*s - 5*s + 37*s**2 = 0.
-2, 0
Suppose 4*b = -h - 10, -2*h - 86 = 3*h + 2*b. Let i be (9/h)/((-6)/4). Suppose i*c**2 + 2/3 + c = 0. What is c?
-2, -1
Factor -2/13*q**2 - 8/13*q - 8/13.
-2*(q + 2)**2/13
Let m(t) = t**2 - 4*t + 5. Let w be m(4). Let p be w/(5/4) + 0. Determine u, given that -2*u**p - 2*u**2 - 4*u**3 + 3*u**4 - 3*u**4 = 0.
-1, 0
Let t(x) be the second derivative of 2*x**4/15 + 7*x**3/15 - 2*x**2/5 - 3*x. Factor t(d).
2*(d + 2)*(4*d - 1)/5
Determine d, given that 0 + 2/9*d**2 - 8/9*d = 0.
0, 4
Let p(k) = 3*k**4 + 12*k**3 + 12*k**2 + 9*k - 3. Let d(s) = s**2 - s + 1. Let x(a) = -3*d(a) - p(a). Determine y, given that x(y) = 0.
-2, -1, 0
Let x(m) be the third derivative of -1/24*m**4 + 0*m + 0 + 2*m**2 + 1/210*m**7 + 0*m**3 + 1/20*m**5 - 1/40*m**6. Factor x(f).
f*(f - 1)**3
Suppose 21*t**2 + 2*t**3 - 2*t**4 - 25*t**2 - 2*t + 6*t**4 = 0. What is t?
-1, -1/2, 0, 1
Let x(n) be the third derivative of -n**8/90720 - n**7/11340 - n**6/3240 - n**5/20 - 2*n**2. Let a(g) be the third derivative of x(g). Factor a(t).
-2*(t + 1)**2/9
Let v(s) be the third derivative of s**7/735 - s**6/84 + 3*s**5/70 - s**4/12 + 2*s**3/21 + 5*s**2. Suppose v(c) = 0. What is c?
1, 2
Factor 2/3*o**2 - 2*o + 4/3.
2*(o - 2)*(o - 1)/3
Let f(x) be the third derivative of x**8/224 - x**7/70 + x**5/20 - x**4/16 - 29*x**2. Factor f(r).
3*r*(r - 1)**3*(r + 1)/2
Suppose 0 = 6*s - 4*s. Let v(w) be the third derivative of w**2 + 0*w**3 + 1/735*w**7 + 0*w + s*w**4 + 0*w**6 - 1/210*w**5 + 0. Factor v(m).
2*m**2*(m - 1)*(m + 1)/7
Let m = 23/105 - -4/35. Factor -1/3*w - 2/3*w**4 + m*w**3 + 2/3*w**2 + 0.
-w*(w - 1)*(w + 1)*(2*w - 1)/3
Let o(x) be the first derivative of -1/9*x**2 - 2/9*x**3 - 3 - 1/6*x**4 - 2/45*x**5 + 0*x. Factor o(y).
-2*y*(y + 1)**3/9
Let p(q) be the third derivative of -q**8/168 + q**6/20 - q**5/15 + 7*q**2. What is h in p(h) = 0?
-2, 0, 1
Let w(g) be the first derivative of -5*g**4/16 + 5*g**3/6 + 5*g**2/8 - 5*g/2 + 12. Factor w(h).
-5*(h - 2)*(h - 1)*(h + 1)/4
Let q be (10/(-4) + 2)/(3/(-2)). Factor 0 + q*y**2 + 1/3*y.
y*(y + 1)/3
Let u = 842 + -2518/3. Factor u*r**2 + 2*r**4 + 0*r + 0 - 4*r**3 - 1/3*r**5.
-r**2*(r - 2)**3/3
Let o(a) be the third derivative of a**7/735 - a**6/168 + a**5/210 - 12*a**2. Factor o(x).
x**2*(x - 2)*(2*x - 1)/7
Fac